{
  "song": {
    "id": "7db30c61-983c-4394-a577-95d26c8e12d3",
    "title": "Rich Girl",
    "artist": "Lake Street Dive",
    "album": "Fun Machine - EP",
    "release_year": 2012,
    "duration_seconds": 217.92,
    "isrc": "TCABF1243952",
    "slug": "rich-girl-lake-street-dive",
    "status": "published",
    "tier1_complete": true,
    "tier2_complete": true,
    "tier3_complete": true,
    "tier4_complete": true,
    "color_generated": true,
    "validation_complete": true,
    "published_at": "2026-03-17T18:52:44.8+00:00",
    "analyst_name": "Andrew Brownlee",
    "analysis_version": "2.0",
    "full_song_confirmed": true,
    "created_at": "2026-03-16T17:44:24.332666+00:00",
    "updated_at": "2026-03-23T19:16:13.690411+00:00",
    "youtube_url": "https://www.youtube.com/watch?v=kpi35gB54oE&list=RDkpi35gB54oE",
    "search_vector": "'dive':5A 'ep':8B 'fun':6B 'girl':2A 'lake':3A 'machin':7B 'rich':1A 'street':4A",
    "source_sample_rate": 48000,
    "effective_bandwidth_hz": 10400,
    "audio_quality_estimate": "high",
    "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": "840475221",
    "apple_music_url": "https://music.apple.com/us/album/rich-girl/840475177?i=840475221",
    "musicbrainz_id": null,
    "acrcloud_id": null,
    "genius_id": 874806,
    "genius_url": "https://genius.com/Lake-street-dive-rich-girl-lyrics",
    "lyrics": "[Chorus]\nYou're a rich girl, and you've gone too far\n'Cause you know it don't matter anyway\nYou can rely on the old man's money\nYou can rely on the old man, honey\nIt's a bitch, girl, but you're gone too far\n'Cause you know it don't matter anyway\nSay money, but it won't get you too far\nGet you too far\n\n[Verse 1]\nAnd don't you know\nDon't you know, yeah\nThat it's wrong to take what is given you?\nSo far gone, on your own, yeah\nYou can get along if you try to be strong\nBut you'll never be strong\n\n[Chorus]\nOh, you're a rich girl, and you've gone too far\n'Cause you know it don't matter anyway\nYou can rely on the old man's money\nYou can rely on the old man, honey\nIt's a bitch, girl, and you've gone too far\n'Cause you know it don't matter anyway\nOh, say money, but it won't get you too far\nGet you too far\n\n(Rich girl\nRich girl\nRich girl\nRich girl\nRich girl)\n\n[Verse 2]\nHigh and dry and out of the rain, yeah\nOh, it's so easy to hurt others when you can't feel pain\nAnd don't you know that a love can't grow\n'Cause there's too much to give, 'cause you'd rather live\nFor the thrill of it all, oh\n\n[Chorus]\nYou're a rich girl (rich girl), and you've gone too far\n'Cause you know it don't matter anyway (rich girl)\nYou can rely on the old man's money\nYou can rely on the old man, honey\nIt's a bitch, girl (bitch, girl), but you've gone too far\n'Cause you know it don't matter anyway (bitch, girl)\n\nSay money, but it won't get you too far\nSay money, but it won't get you too far\nSay money, but it won't get you too far\nGet you too far\n\nAnd you say\nYou can rely on the old man's money\nYou can rely on the old man, honey\n\n[Outro]\nYou're a rich girl (a rich girl), a rich girl\nYou're a rich girl, yeah, oh, no\nYou're a rich girl, yeah\nYou're, oh oh oh oh, yeah\nYou're a rich girl (rich girl), and you've gone too far\n'Cause you know it don't matter anyway\nWell, you can rely on the old man's money\nYou can rely on the old man's money\nYou're a rich girl (rich girl), you're a rich girl\nOh, you're a rich bitch girl, yeah, yeah\nOh oh, you're a rich girl, and you're gone\nYeah",
    "lyrics_annotations": [
      {
        "id": 34339518,
        "fragment": "And don’t you know that a love can’t grow",
        "annotations": [
          {
            "body": {
              "plain": "Often people at the top of the socio-economic ladder find themselves the loneliest due to the fact that they have everything society tells them they need, like fancy clothes or jewelry, and all that’s left is what they can’t buy: true love in life. Not just romantic love, but any kind of love or passion."
            }
          }
        ]
      },
      {
        "id": 34339506,
        "fragment": "Say money, but it won’t get you too far\n Get you too far",
        "annotations": [
          {
            "body": {
              "plain": "Money can do a lot, but it can’t cure the sickness inside of you, and if your personality is awful, it can’t buy you a better one. This first line infers that the command of wealth doesn’t provide unbridled freedom. Removing the word ‘won’t’ the second line warns that the funds at the tips of the titular rich girl can propel her life far beyond her intellectual and social comprehension; essentially, “get her too far.”"
            }
          }
        ]
      },
      {
        "id": 34339501,
        "fragment": "And don’t you know\n Don’t you know, yeah\n That it’s wrong to take what is given you?",
        "annotations": [
          {
            "body": {
              "plain": "Here, original writer Daryl Hall implies that it’s incorrect to accept a free-ride in life. In this case, a young woman allowing her wealthy father spoil her with riches. It’s later hinted that this type of an upbringing produces someone with a weak moral character, unable to deal with the world properly having never struggled for themselves."
            }
          }
        ]
      },
      {
        "id": 34339479,
        "fragment": "You’re a rich girl, and you’ve gone too far\n ’Cause you know it don’t matter anyway\n You can rely on the old man’s money\n You can rely on the old man, honey",
        "annotations": [
          {
            "body": {
              "plain": "According to original artist John Oates, the song was never about a rich girl, but rather a rich guy:\n\nDaryl wrote it. It was about a guy who was the heir to a fast food fortune. He realized ‘Rich Girl’ sounded a lot better than ‘Rich Guy.’\n\nAdditionally, the rich guy in question is believed to be Victor Walker, the ex-boyfriend of original writer Daryl Hall’s then-girlfriend, Sara Walker. Victor Walker’s father owned the Walker Bros. Original Pancake House as well as 15 KFCs in Chicago, Illinois."
            }
          }
        ]
      }
    ],
    "external_bpm_reference": null,
    "external_key_reference": null,
    "external_source": null,
    "fetched_at": "2026-03-16T17:44:27.216733+00:00"
  },
  "color": {
    "hex": "#37E037",
    "hue": 120,
    "saturation": 0.7291,
    "luminance": 0.545799970626831,
    "edge_sharpness": 0.77,
    "texture_granularity": 0.6105,
    "gradient_motion": 0.372299998998642,
    "color_depth": 0.2379,
    "color_layering": 0.4836,
    "palette_harmony": 0.9972,
    "contrast_composition": 0.806100010871887,
    "algorithm_version": "1.0",
    "generated_at": "2026-03-22T16:20:58.301931+00:00",
    "oklch_lightness": 0.792952,
    "oklch_chroma": 0.27894,
    "oklch_hue": 139.78
  },
  "temporal": {
    "bpm": 172,
    "bpm_raw": null,
    "tempo_variability": 0.0232163222387009,
    "groove_stability": 0.421997643804759,
    "swing_feel": 0.44341304898262,
    "rhythmic_density": 0.610483699126358,
    "syncopation_score": 0.247553816042122,
    "beat_clarity": 0.248509934504659,
    "library_primary": "librosa",
    "library_secondary": "essentia",
    "analyzed_at": "2026-03-22T16:20:53.571556+00:00",
    "raw_librosa_bpm": 172.266,
    "bpm_octave_corrected": true,
    "time_signature": null,
    "beats_per_bar": null,
    "tempo_map": [
      {
        "bpm": 86.1,
        "start_seconds": 0
      },
      {
        "bpm": 172.3,
        "start_seconds": 15
      },
      {
        "bpm": 86.1,
        "start_seconds": 45
      },
      {
        "bpm": 172.3,
        "start_seconds": 60
      },
      {
        "bpm": 86.1,
        "start_seconds": 90
      },
      {
        "bpm": 172.3,
        "start_seconds": 135
      }
    ],
    "beat_timestamps": [
      0.348299319727891,
      0.673378684807256,
      1.04489795918367,
      1.39319727891156,
      1.74149659863946,
      2.08979591836735,
      2.43809523809524,
      2.80961451247166,
      3.15791383219955,
      3.50621315192744,
      3.87773242630385,
      4.22603174603175,
      4.59755102040816,
      4.92263038548753,
      5.27092970521542,
      5.61922902494331,
      5.99074829931973,
      6.31582766439909,
      6.68734693877551,
      7.0356462585034,
      7.38394557823129,
      7.73224489795918,
      8.08054421768708,
      8.42884353741497,
      8.77714285714286,
      9.12544217687075,
      9.49696145124716,
      9.82204081632653,
      10.1703401360544,
      10.5186394557823,
      10.8669387755102,
      11.2152380952381,
      11.5867573696145,
      11.9350566893424,
      12.3065759637188,
      12.6548752834467,
      13.0031746031746,
      13.328253968254,
      13.6997732426304,
      14.0480725623583,
      14.3963718820862,
      14.7446712018141,
      15.1161904761905,
      15.4412698412698,
      15.8360090702948,
      16.1378684807256,
      16.4861678004535,
      16.8576870748299,
      17.1827664399093,
      17.5310657596372,
      17.8793650793651,
      18.2508843537415,
      18.5991836734694,
      18.9474829931973,
      19.2957823129252,
      19.6440816326531,
      19.992380952381,
      20.3406802721088,
      20.6889795918367,
      21.0372789115646,
      21.3855782312925,
      21.7338775510204,
      22.0821768707483,
      22.4304761904762,
      22.7787755102041,
      23.127074829932,
      23.4521541950113,
      23.8004535147392,
      24.1487528344671,
      24.497052154195,
      24.8453514739229,
      25.1704308390023,
      25.5187301587302,
      25.8438095238095,
      26.1688888888889,
      26.5171882086168,
      26.8654875283447,
      27.2137868480726,
      27.5620861678005,
      27.9103854875283,
      28.2586848072562,
      28.6069841269841,
      28.955283446712,
      29.3035827664399,
      29.6518820861678,
      30.0001814058957,
      30.3484807256236,
      30.6967800453515,
      31.0218594104308,
      31.3701587301587,
      31.7184580498866,
      32.043537414966,
      32.4150566893424,
      32.7401360544218,
      33.0884353741497,
      33.4367346938776,
      33.7850340136054,
      34.1101133786848,
      34.4584126984127,
      34.8067120181406,
      35.178231292517,
      35.5265306122449,
      35.8748299319728,
      36.2231292517007,
      36.5714285714286,
      36.9197278911565,
      37.2680272108844,
      37.6163265306122,
      37.9646258503401,
      38.3361451247166,
      38.6844444444444,
      39.0327437641723,
      39.3810430839002,
      39.7293424036281,
      40.077641723356,
      40.4259410430839,
      40.7742403628118,
      41.1225396825397,
      41.447619047619,
      41.7959183673469,
      42.1442176870748,
      42.4925170068027,
      42.8408163265306,
      43.1891156462585,
      43.5374149659864,
      43.8857142857143,
      44.2572335600907,
      44.6055328798186,
      44.9538321995465,
      45.3021315192744,
      45.6736507936508,
      45.9987301587302,
      46.347029478458,
      46.6953287981859,
      47.0668480725624,
      47.4151473922903,
      47.7634467120181,
      48.111746031746,
      48.4600453514739,
      48.7851247165533,
      49.1334240362812,
      49.4817233560091,
      49.8532426303855,
      50.2015419501134,
      50.5730612244898,
      50.9213605442177,
      51.2696598639456,
      51.6179591836735,
      51.9894784580499,
      52.3145578231292,
      52.6628571428571,
      53.011156462585,
      53.3594557823129,
      53.7077551020408,
      54.0560544217687,
      54.4043537414966,
      54.7526530612245,
      55.1009523809524,
      55.4724716553288,
      55.7975510204082,
      56.1690702947846,
      56.5173696145125,
      56.8888888888889,
      57.2139682539683,
      57.5622675736961,
      57.910566893424,
      58.2588662131519,
      58.6071655328798,
      58.9786848072562,
      59.3269841269841,
      59.675283446712,
      60.0003628117914,
      60.3486621315193,
      60.6969614512472,
      61.0452607709751,
      61.3935600907029,
      61.7650793650794,
      62.1133786848073,
      62.4616780045351,
      62.809977324263,
      63.1814965986395,
      63.5297959183673,
      63.8780952380952,
      64.2263945578231,
      64.574693877551,
      64.9229931972789,
      65.2712925170068,
      65.6195918367347,
      65.9911111111111,
      66.339410430839,
      66.6877097505669,
      67.0360090702948,
      67.4075283446712,
      67.7558276643991,
      68.104126984127,
      68.4524263038549,
      68.8007256235828,
      69.1490249433107,
      69.4973242630385,
      69.868843537415,
      70.2171428571429,
      70.5654421768707,
      70.8905215419501,
      71.2620408163265,
      71.6103401360544,
      71.9586394557823,
      72.3301587301587,
      72.6784580498866,
      73.0267573696145,
      73.3518367346939,
      73.7233560090703,
      74.0948752834467,
      74.4431746031746,
      74.768253968254,
      75.1165532879819,
      75.4648526077097,
      75.8131519274376,
      76.1614512471655,
      76.5097505668934,
      76.8580498866213,
      77.2063492063492,
      77.5314285714286,
      77.8797278911565,
      78.2512471655329,
      78.5995464852608,
      78.9478458049887,
      79.272925170068,
      79.6212244897959,
      79.9927437641723,
      80.3178231292517,
      80.6893424036281,
      81.037641723356,
      81.3859410430839,
      81.7342403628118,
      82.0825396825397,
      82.4308390022676,
      82.7791383219955,
      83.1274376417234,
      83.4757369614512,
      83.8240362811791,
      84.1955555555556,
      84.5438548752834,
      84.8921541950113,
      85.2404535147392,
      85.5887528344671,
      85.9138321995465,
      86.2621315192744,
      86.6336507936508,
      86.9819501133787,
      87.3302494331066,
      87.6785487528345,
      88.0268480725624,
      88.3751473922902,
      88.7234467120181,
      89.071746031746,
      89.4200453514739,
      89.7915646258503,
      90.1166439909297,
      90.4649433106576,
      90.836462585034,
      91.1847619047619,
      91.5330612244898,
      91.8813605442177,
      92.2296598639456,
      92.5779591836735,
      92.9262585034014,
      93.2745578231293,
      93.6228571428571,
      93.971156462585,
      94.3194557823129,
      94.6677551020408,
      95.0160544217687,
      95.3875736961451,
      95.735873015873,
      96.0841723356009,
      96.4324716553288,
      96.7807709750567,
      97.1290702947846,
      97.4773696145125,
      97.8024489795918,
      98.1739682539683,
      98.4990476190476,
      98.8473469387755,
      99.1956462585034,
      99.5439455782313,
      99.8922448979592,
      100.240544217687,
      100.588843537415,
      100.937142857143,
      101.285442176871,
      101.633741496599,
      101.958820861678,
      102.330340136054,
      102.678639455782,
      103.02693877551,
      103.375238095238,
      103.723537414966,
      104.071836734694,
      104.420136054422,
      104.76843537415,
      105.116734693878,
      105.465034013605,
      105.813333333333,
      106.161632653061,
      106.509931972789,
      106.858231292517,
      107.206530612245,
      107.554829931973,
      107.903129251701,
      108.251428571429,
      108.599727891156,
      108.971247165533,
      109.319546485261,
      109.667845804989,
      110.016145124717,
      110.341224489796,
      110.712743764172,
      111.0610430839,
      111.409342403628,
      111.757641723356,
      112.105941043084,
      112.454240362812,
      112.80253968254,
      113.150839002268,
      113.499138321995,
      113.847437641723,
      114.195736961451,
      114.544036281179,
      114.892335600907,
      115.240634920635,
      115.565714285714,
      115.914013605442,
      116.26231292517,
      116.633832199546,
      116.982131519274,
      117.353650793651,
      117.725170068027,
      118.073469387755,
      118.421768707483,
      118.770068027211,
      119.09514739229,
      119.466666666667,
      119.814965986395,
      120.163265306122,
      120.51156462585,
      120.859863945578,
      121.231383219955,
      121.579682539683,
      121.92798185941,
      122.25306122449,
      122.601360544218,
      122.972879818594,
      123.321179138322,
      123.66947845805,
      124.017777777778,
      124.366077097506,
      124.714376417234,
      125.062675736961,
      125.410975056689,
      125.759274376417,
      126.130793650794,
      126.479092970522,
      126.827392290249,
      127.175691609977,
      127.523990929705,
      127.872290249433,
      128.24380952381,
      128.615328798186,
      128.986848072562,
      129.33514739229,
      129.683446712018,
      130.031746031746,
      130.380045351474,
      130.728344671202,
      131.07664399093,
      131.424943310658,
      131.796462585034,
      132.144761904762,
      132.49306122449,
      132.841360544218,
      133.189659863946,
      133.514739229025,
      133.886258503401,
      134.234557823129,
      134.582857142857,
      134.931156462585,
      135.279455782313,
      135.627755102041,
      135.976054421769,
      136.324353741497,
      136.672653061224,
      137.020952380952,
      137.36925170068,
      137.717551020408,
      138.065850340136,
      138.414149659864,
      138.762448979592,
      139.11074829932,
      139.482267573696,
      139.853786848073,
      140.2020861678,
      140.550385487528,
      140.898684807256,
      141.246984126984,
      141.595283446712,
      141.94358276644,
      142.315102040816,
      142.663401360544,
      143.011700680272,
      143.36,
      143.708299319728,
      144.056598639456,
      144.404897959184,
      144.753197278912,
      145.124716553288,
      145.473015873016,
      145.821315192744,
      146.169614512472,
      146.5179138322,
      146.866213151927,
      147.214512471655,
      147.562811791383,
      147.911111111111,
      148.259410430839,
      148.607709750567,
      148.956009070295,
      149.304308390023,
      149.652607709751,
      150.000907029478,
      150.349206349206,
      150.697505668934,
      151.045804988662,
      151.417324263039,
      151.765623582766,
      152.113922902494,
      152.462222222222,
      152.81052154195,
      153.158820861678,
      153.530340136054,
      153.855419501134,
      154.203718820862,
      154.55201814059,
      154.900317460317,
      155.248616780045,
      155.596916099773,
      155.945215419501,
      156.316734693878,
      156.665034013605,
      157.036553287982,
      157.38485260771,
      157.709931972789,
      158.058231292517,
      158.406530612245,
      158.754829931973,
      159.103129251701,
      159.474648526077,
      159.822947845805,
      160.148027210884,
      160.519546485261,
      160.867845804989,
      161.239365079365,
      161.587664399093,
      161.935963718821,
      162.284263038549,
      162.632562358277,
      162.980861678005,
      163.329160997732,
      163.67746031746,
      164.025759637188,
      164.397278911565,
      164.745578231293,
      165.117097505669,
      165.465396825397,
      165.813696145125,
      166.161995464853,
      166.510294784581,
      166.881814058957,
      167.230113378685,
      167.578412698413,
      167.926712018141,
      168.275011337868,
      168.623310657596,
      168.971609977324,
      169.296689342404,
      169.644988662132,
      169.993287981859,
      170.364807256236,
      170.713106575964,
      171.061405895692,
      171.40970521542,
      171.734784580499,
      172.083083900227,
      172.431383219955,
      172.779682539683,
      173.12798185941,
      173.499501133787,
      173.871020408163,
      174.196099773243,
      174.544399092971,
      174.892698412698,
      175.240997732426,
      175.612517006803,
      175.960816326531,
      176.28589569161,
      176.657414965986,
      177.005714285714,
      177.354013605442,
      177.70231292517,
      178.050612244898,
      178.422131519274,
      178.770430839002,
      179.11873015873,
      179.467029478458,
      179.815328798186,
      180.163628117914,
      180.511927437642,
      180.86022675737,
      181.208526077098,
      181.580045351474,
      181.928344671202,
      182.27664399093,
      182.624943310658,
      182.950022675737,
      183.298321995465,
      183.646621315193,
      183.994920634921,
      184.366439909297,
      184.737959183673,
      185.086258503401,
      185.434557823129,
      185.782857142857,
      186.131156462585,
      186.479455782313,
      186.827755102041,
      187.176054421769,
      187.524353741497,
      187.872653061224,
      188.220952380952,
      188.56925170068,
      188.917551020408,
      189.265850340136,
      189.614149659864,
      189.98566893424,
      190.333968253968,
      190.682267573696,
      191.030566893424,
      191.378866213152,
      191.703945578231,
      192.052244897959,
      192.400544217687,
      192.772063492063,
      193.120362811791,
      193.468662131519,
      193.816961451247,
      194.165260770975,
      194.490340136054,
      194.838639455782,
      195.18693877551,
      195.558458049887,
      195.929977324263,
      196.278276643991,
      196.626575963719,
      196.974875283447,
      197.323174603175,
      197.671473922902,
      198.01977324263,
      198.391292517007,
      198.739591836735,
      199.087891156463,
      199.43619047619,
      199.76126984127,
      200.132789115646,
      200.481088435374,
      200.852607709751,
      201.200907029478,
      201.572426303855,
      201.920725623583,
      202.269024943311,
      202.617324263039,
      202.965623582766,
      203.313922902494,
      203.662222222222,
      204.01052154195,
      204.358820861678,
      204.707120181406,
      205.055419501134,
      205.403718820862,
      205.75201814059,
      206.077097505669,
      206.425396825397,
      206.796916099773,
      207.16843537415,
      207.516734693878,
      207.865034013605,
      208.213333333333,
      208.561632653061,
      208.886712018141,
      209.235011337868,
      209.606530612245,
      209.931609977324,
      210.279909297052,
      210.62820861678
    ],
    "beat_strengths": [
      0.472248229056624,
      0.265383266954136,
      0.265894077624004,
      0.23437602880532,
      0.381270518811902,
      0.476498285119335,
      0.455480152150026,
      0.529294384450164,
      0.0190716577180461,
      0.363674284332239,
      0.426650337690807,
      0.535750242439207,
      0.228902563459524,
      0.268945896118463,
      0.434084098942077,
      0.950827707291887,
      0.375279486305348,
      0.730014750702707,
      0.0745083434196235,
      0.310205632792777,
      0.0283430675677695,
      0.308567378930364,
      0.333674828580767,
      0.538519874979197,
      0.0135027014970885,
      0.655416488810199,
      0.202197260921105,
      0.335738043425879,
      0.0506695383333451,
      0.528524452986033,
      0.469425135754459,
      0.216533846371975,
      0.336118156127004,
      0.235317189944944,
      0.301403039194024,
      0.451586427245974,
      0.453325990960865,
      0.56373324525205,
      0.277558881214572,
      0.43956735422931,
      0.0110557481450459,
      0.262153060855654,
      0.339850450785356,
      0.618353551016211,
      0.353902681813212,
      0.524442280480397,
      0.545541890761112,
      0.681882934338375,
      0.310009045996998,
      0.596993495589079,
      0.332415464841362,
      0.20387142291667,
      0.162612412066271,
      0.218396748327789,
      0.513340483954714,
      0.602346000993049,
      0.0226117410856366,
      0.173239405968325,
      0.298190663559977,
      0.360194499638825,
      0.281642425589524,
      0.448898374931799,
      0.36469173394509,
      0.446148943505852,
      0.511270277073117,
      0.349096871960012,
      0.456742067424875,
      0.399664609735373,
      0.235400374354059,
      0.294970162126527,
      0.193732736823135,
      0.250807825672457,
      0.164059779360073,
      0.313226057895644,
      0.281755630163129,
      0.141059116027847,
      0.0408242364002933,
      0.321739332232288,
      0.0976063967824726,
      0.247142667896891,
      0.14804617912667,
      0.191328065108117,
      0.18718256108878,
      0.681060512232912,
      0.168940471022846,
      0.169013693743452,
      0.35613073515801,
      0.419503636759522,
      0.0837282573550129,
      0.679357222044329,
      0.648492212351238,
      0.999999999995606,
      0.187558028801388,
      0.414693688360499,
      0.531054661983456,
      0.777405264887067,
      0.306451440698038,
      0.37366986913926,
      0.521312351792807,
      0.714367604795886,
      0.27139466578104,
      0.264027135482467,
      0.227409553493235,
      0.360930786766774,
      0.106597839941032,
      0.151185308006104,
      0.449540359598226,
      0.594565478224797,
      0.33785053992381,
      0.176500952376773,
      0.254343484919951,
      0.533676896787942,
      0.20606740137346,
      0.238483850781444,
      0.311932836314937,
      0.519068742873652,
      0.291558604400009,
      0.192148700822142,
      0.425993860964771,
      0.724874489659388,
      0.649447849719528,
      0.647237502252449,
      0.603063315449127,
      0.714713326788136,
      0.410308805030559,
      0.497766835116744,
      0.155119771364367,
      0.325702330930075,
      0.334394917765405,
      0.226670840927439,
      0.234520703242076,
      0.300212226521182,
      0.197777372788335,
      0.361796792729296,
      0.226656641892271,
      0.182843195033826,
      0.0781516353184858,
      0.224004455953659,
      0.211356101475116,
      0.127916801529442,
      0.190374253394485,
      0.225388086809971,
      0.175754124343473,
      0.279167560749713,
      0.134355945359959,
      0.175727485401759,
      0.375169395456365,
      0.332352741830304,
      0.219514321128337,
      0.158589300855055,
      0.266341601918268,
      0.429546451355057,
      0.165117834062276,
      0.320958558642974,
      0.297112333145871,
      0.49100783830913,
      0.275097069017641,
      0.330247964929123,
      0.220015805158699,
      0.261004136215549,
      0.17681580896108,
      0.167676563463204,
      0.173754965543623,
      0.405460129821722,
      0.107567271075621,
      0.325368028744691,
      0.168735358884065,
      0.235605558323944,
      0.207469346165944,
      0.114719379671115,
      0.205438281629274,
      0.163657258296918,
      0.140857859145453,
      0.188304478230191,
      0.0313396566386419,
      0.374594908540071,
      0.281694648059481,
      0.20071776725193,
      0.359899356414699,
      0.43034691548823,
      0.261329220837741,
      0.111993391505417,
      0.0922573883646098,
      0.263417783913454,
      0.129716292961129,
      0.190288092399087,
      0.292269174791118,
      0.460113780083407,
      0.258638766593901,
      0.159993969963622,
      0.0957733379639899,
      0.262016995171595,
      0.211311404126174,
      0.13967473931919,
      0.195113905271158,
      0.306872973122476,
      0.147108238559032,
      0.147384307062514,
      0.165564655948531,
      0.283380764508298,
      0.162671820828151,
      0.357050560801679,
      0.101671571428211,
      0.35328990150842,
      0.316186916666428,
      0.329860832764783,
      0.126466360780563,
      0.330100415213907,
      0.253627454041905,
      0.203038601136986,
      0.391571480872201,
      0.254397632444898,
      0.128696276114997,
      0.441697879937706,
      0.57465219222017,
      0.447738520756954,
      0.218353145453797,
      0.244932321675076,
      0.281461076800405,
      0.549754408127058,
      0.199176027168115,
      0.377818688339316,
      0.489022191126598,
      0.581801804567151,
      0.302692511456143,
      0.206551327273198,
      0.233941122370366,
      0.753186161798339,
      0.185685462648814,
      0.588483731205234,
      0.107503814854919,
      0.296892770396104,
      0.140414409856208,
      0.193083106273359,
      0.286240436708031,
      0.570861484803265,
      0.328611716278083,
      0.233720547912375,
      0.416675499239007,
      0.354840307168158,
      0.178766595787383,
      0.262307813710482,
      0.36669153669486,
      0.404998523782994,
      0.266124544263366,
      0.419562407338966,
      0.45964939962247,
      0.467235411521318,
      0.346141004802348,
      0.306322308933061,
      0.568146708559267,
      0.419047358450827,
      0.390440241703547,
      0.233094345965906,
      0.285915184401141,
      0.252596468187485,
      0.239489780949553,
      0.250749955880078,
      0.334120722107876,
      0.227696345160359,
      0.119761178651482,
      0.161146638095954,
      0.125388849090125,
      0.427834949905504,
      0.0476905324011376,
      0.221717164163579,
      0.196405239747494,
      0.10586688042197,
      0.15426187229677,
      0.194729537191527,
      0.10475797268119,
      0.256522796891114,
      0.136957549424202,
      0.178262004240694,
      0.230596298654248,
      0.337366352813629,
      0.221955154071069,
      0.14536017812843,
      0.215102007936393,
      0.283964855617324,
      0.205130164235633,
      0.167989195145487,
      0.233479757886328,
      0.356662159951481,
      0.117462786884667,
      0.120515729531151,
      0.129418172693011,
      0.254232225562886,
      0.199459482462691,
      0.119602340549384,
      0.0673469181416763,
      0.382816296630085,
      0.136295318587802,
      0.14591958326058,
      0.208862350004875,
      0.350739662759988,
      0.20203212137136,
      0.258714027605125,
      0.249789488654537,
      0.0948695341566369,
      0.29446093028972,
      0.203447059861143,
      0.283123487015967,
      0.347406756120071,
      0.17377935771585,
      0.0796331110635617,
      0.2210032144002,
      0.344962708147311,
      0.218153835125809,
      0.122165155477576,
      0.194719855011588,
      0.259119938691526,
      0.206973623985268,
      0.161064631684425,
      0.376465417981404,
      0.530768731442408,
      0.246971911056916,
      0.167489719246856,
      0.169236226469335,
      0.210467640700917,
      0.149436052823902,
      0.147028368593914,
      0.133380725060903,
      0.249436474669481,
      0.116134642036112,
      0.219125300228112,
      0.163863240003044,
      0.200571944066866,
      0.134001964848425,
      0.312061783427343,
      0.220604348911325,
      0.33955108265079,
      0.105764674516252,
      0.197079771880967,
      0.0214750394612677,
      0.166345048982916,
      0.0764659276038751,
      0.155897528327555,
      0.10547547718832,
      0.167075769745494,
      0.181736929366324,
      0.193747389794323,
      0.120900035750201,
      0.251049599678823,
      0.0773249418954381,
      0.163279449195184,
      0.0888524921967357,
      0.134027667630755,
      0.219646519162964,
      0.199827647765437,
      0.164750161293902,
      0.162783178440918,
      0.177751062783921,
      0.0586277892095601,
      0.224593268526941,
      0.265270785058475,
      0.0565637892179041,
      0.238085896461119,
      0.0437947848872498,
      0.309855401829329,
      0.141485610328953,
      0.335790442901893,
      0.19545482284459,
      0.218938734813302,
      0.249517525222098,
      0.261117280600349,
      0.0556230635847194,
      0.212949150119183,
      0.131545834451443,
      0.18775091035644,
      0.0847344010456445,
      0.238510140607357,
      0.134020360157187,
      0.168536917760288,
      0.0923385304446717,
      0.338832787572893,
      0.221605253265593,
      0.136070729390901,
      0.115284115303889,
      0.141239925754169,
      0.144414307743889,
      0.550800872064492,
      0.131505658066164,
      0.425170794542864,
      0.179353897115335,
      0.319442202746431,
      0.116500580430944,
      0.214641048629657,
      0.113491398907684,
      0.411525974091777,
      0.0822070933403967,
      0.237041613194144,
      0.156989112975925,
      0.266477622470448,
      0.341026762821335,
      0.119143747473101,
      0.151628899524791,
      0.239072426953902,
      0.325279882569856,
      0.28341063797524,
      0.284832271880632,
      0.268528451632124,
      0.18643752511091,
      0.312525601809295,
      0.274222118498477,
      0.192125702448429,
      0.211032989052254,
      0.329034133473465,
      0.158284962756995,
      0.250178596940743,
      0.227866848530311,
      0.343780528676542,
      0.257620811487266,
      0.174827362151144,
      0.125304631291534,
      0.249503921245116,
      0.104426612919741,
      0.188903394708379,
      0.219437847345224,
      0.272203346706801,
      0.0985530759006277,
      0.221578164961058,
      0.170929504132288,
      0.125483694637606,
      0.123439368123797,
      0.260185450388327,
      0.131762960236303,
      0.24314946468274,
      0.182790276532257,
      0.106016267754544,
      0.0658929473780427,
      0.31550830270886,
      0.23704074336253,
      0.145728834539032,
      0.262798550700769,
      0.29523208039591,
      0.200230118909663,
      0.173213711629476,
      0.139749867293558,
      0.483230621341609,
      0.176260893968476,
      0.154096080149945,
      0.203629384152523,
      0.370827351207816,
      0.308528624834625,
      0.146754205078283,
      0.128332977515764,
      0.142853266599454,
      0.150843132864109,
      0.137939922283826,
      0.162616115322299,
      0.292989939768154,
      0.234483069202751,
      0.181454072428871,
      0.278094017260266,
      0.119196690797891,
      0.293102266829004,
      0.394282676803436,
      0.125737004795092,
      0.39943435739355,
      0.165511673986657,
      0.289012615833564,
      0.18466140582974,
      0.169557035225034,
      0.165537754856342,
      0.18014145226152,
      0.205556390540725,
      0.254993627108013,
      0.249523116480634,
      0.148801248515434,
      0.17779302836045,
      0.127798444687252,
      0.126074854835274,
      0.160907059854816,
      0.0259799487284904,
      0.334239349402963,
      0.363647287705871,
      0.126979167904951,
      0.117237281831084,
      0.0893044390940128,
      0.0894485832419797,
      0.207071568562775,
      0.163550325984177,
      0.264702714382058,
      0.12171714843925,
      0.19769633328336,
      0.145176370343309,
      0.104695147188223,
      0.146198206518788,
      0.168959918913425,
      0.158971608638135,
      0.178788257218321,
      0.139890299805896,
      0.052895672020077,
      0.147506086003201,
      0.238177000445248,
      0.197203651793338,
      0.0680219947204619,
      0.0976075535338242,
      0.179352199991574,
      0.298505313826827,
      0.145853694915833,
      0.061999129037217,
      0.279221567325817,
      0.128627858812733,
      0.144475654169962,
      0.381233951253246,
      0.284891653737811,
      0.210154115164311,
      0.0953313736884725,
      0.154481282305594,
      0.19756585612341,
      0.116871663096765,
      0.131912209972174,
      0.139935592654768,
      0.202476405769112,
      0.239463676591845,
      0.158456263016422,
      0.0993804355459966,
      0.206286142034005,
      0.203804981595444,
      0.132884502135034,
      0.253928728098272,
      0.110368024524887,
      0.190367553074032,
      0.172610927694585,
      0.145515150370091,
      0.209080450082501,
      0.166978406837859,
      0.0764082236355293,
      0.16433253274468,
      0.155019826433648,
      0.152302280010678,
      0.113482125728117,
      0.0883817980888475,
      0.261948737631691,
      0.201316858036554,
      0.260226942623727,
      0.514494920665272,
      0.206344534088992,
      0.180064873035827,
      0.125548801809889,
      0.106319957754039,
      0.164477012533054,
      0.174969858783752,
      0.118425012567016,
      0.11986938723711,
      0.339452928306643,
      0.0867402766559475,
      0.118790651292424,
      0.22521582640442,
      0.0805213835460439,
      0.108767873520665,
      0.112212963600121,
      0.102420748542984,
      0.237750640600277,
      0.0788619049407714,
      0.143065373286642,
      0.216449900414711,
      0.178288621924941,
      0.23666027474007,
      0.0672491022216438,
      0.306740459642801,
      0.159142333166956,
      0.157968126090361,
      0.143389545880726,
      0.0900507383749055,
      0.191972185860485,
      0.253234919016425,
      0.253458974006259,
      0.508431983911879,
      0.366834550463252,
      0.162488902133487,
      0.128155098101312,
      0.11672271608832,
      0.179991370826773,
      0.178128689689057,
      0.118587570907612,
      0.190897986062351,
      0.18591243176685,
      0.138134324226435,
      0.146107371507617,
      0.216120969006003,
      0.252481119885967,
      0.1330145967227,
      0.137257118640736,
      0.231820172675978,
      0.175649209387957,
      0.269836969181591,
      0.195772574125093,
      0.222458374944316,
      0.183703231270579,
      0.15775896051892,
      0.108871386892281,
      0.167972274329625,
      0.290082729383045,
      0.251001170775161,
      0.190459153757768,
      0.139478061659109,
      0.412816253034393,
      0.192905806154588,
      0.342395810978605
    ],
    "onset_timestamps": [
      0.348299319727891,
      0.65015873015873,
      0.905578231292517,
      1.04489795918367,
      1.23065759637188,
      1.36997732426304,
      1.74149659863946,
      2.06657596371882,
      2.25233560090703,
      2.41487528344671,
      2.78639455782313,
      3.2043537414966,
      3.50621315192744,
      3.7384126984127,
      3.87773242630385,
      4.20281179138322,
      4.59755102040816,
      4.76009070294785,
      4.899410430839,
      5.24770975056689,
      5.61922902494331,
      5.82820861678005,
      5.9675283446712,
      6.15328798185941,
      6.31582766439909,
      6.52480725623583,
      6.71056689342404,
      6.89632653061224,
      7.0356462585034,
      7.43038548752835,
      7.59292517006803,
      7.70902494331066,
      8.05732426303855,
      8.42884353741497,
      8.6378231292517,
      8.87002267573696,
      9.10222222222222,
      9.28798185941043,
      9.49696145124716,
      9.65950113378685,
      9.82204081632653,
      10.3560997732426,
      10.5186394557823,
      10.8669387755102,
      11.2152380952381,
      11.563537414966,
      11.7725170068027,
      11.9118367346939,
      12.1672562358277,
      12.3065759637188,
      12.6316553287982,
      12.8174149659864,
      12.9799546485261,
      13.1657142857143,
      13.328253968254,
      13.6765532879819,
      14.0480725623583,
      14.4660317460317,
      14.7214512471655,
      15.1161904761905,
      15.4412698412698,
      15.8127891156463,
      15.9985487528345,
      16.1378684807256,
      16.4861678004535,
      16.8344671201814,
      17.0202267573696,
      17.1827664399093,
      17.3685260770975,
      17.5310657596372,
      17.786485260771,
      17.8793650793651,
      18.0651247165533,
      18.2508843537415,
      18.5991836734694,
      18.9242630385488,
      19.2725623582766,
      19.4583219954649,
      19.6208616780045,
      20.038820861678,
      20.3174603174603,
      20.5264399092971,
      20.6657596371882,
      20.8979591836735,
      21.0372789115646,
      21.2230385487528,
      21.3855782312925,
      21.7338775510204,
      22.0821768707483,
      22.2679365079365,
      22.4304761904762,
      22.5930158730159,
      22.7555555555556,
      22.9413151927438,
      23.1038548752834,
      23.2896145124717,
      23.4521541950113,
      23.6379138321995,
      23.8004535147392,
      23.9862131519274,
      24.1487528344671,
      24.3112925170068,
      24.4738321995465,
      24.6595918367347,
      24.8221315192744,
      25.0078911564626,
      25.1704308390023,
      25.3329705215419,
      25.4955102040816,
      25.6580498866213,
      25.8438095238095,
      26.0063492063492,
      26.1688888888889,
      26.3546485260771,
      26.5171882086168,
      26.6797278911565,
      27.190566893424,
      27.7710657596372,
      27.9103854875283,
      28.2586848072562,
      28.6069841269841,
      28.955283446712,
      29.3035827664399,
      29.6518820861678,
      29.837641723356,
      30.0001814058957,
      30.1859410430839,
      30.232380952381,
      30.3484807256236,
      30.6735600907029,
      31.207619047619,
      31.3701587301587,
      31.5559183673469,
      31.6952380952381,
      32.043537414966,
      32.4150566893424,
      32.5775963718821,
      32.7401360544218,
      33.0884353741497,
      33.413514739229,
      33.6457142857143,
      33.7850340136054,
      33.9707936507937,
      34.1101133786848,
      34.295873015873,
      34.4584126984127,
      34.8067120181406,
      35.0156916099773,
      35.1550113378685,
      35.3407709750567,
      35.4800907029478,
      35.8748299319728,
      36.2231292517007,
      36.9197278911565,
      37.2680272108844,
      37.4537868480726,
      37.6163265306122,
      37.9414058956916,
      38.1503854875283,
      38.312925170068,
      38.6612244897959,
      38.8934240362812,
      39.0327437641723,
      39.3810430839002,
      39.7061224489796,
      39.8918820861678,
      40.0544217687075,
      40.4027210884354,
      40.7510204081633,
      40.96,
      41.0993197278912,
      41.2850793650794,
      41.447619047619,
      41.7959183673469,
      42.1442176870748,
      42.329977324263,
      42.4925170068027,
      42.6782766439909,
      42.8408163265306,
      43.16589569161,
      43.3516553287982,
      43.5374149659864,
      43.7231746031746,
      43.8857142857143,
      44.2572335600907,
      44.4197732426304,
      44.5823129251701,
      44.9538321995465,
      45.1395918367347,
      45.2556916099773,
      45.3021315192744,
      45.6504308390023,
      45.9987301587302,
      46.347029478458,
      46.6953287981859,
      47.0668480725624,
      47.229387755102,
      47.3919274376417,
      48.111746031746,
      48.4600453514739,
      48.6225850340136,
      48.7851247165533,
      48.947664399093,
      49.1334240362812,
      49.4817233560091,
      49.8532426303855,
      50.2015419501134,
      50.5730612244898,
      50.8981405895692,
      51.1071201814059,
      51.2696598639456,
      51.4554195011338,
      51.5947392290249,
      51.9662585034014,
      52.3145578231292,
      52.6628571428571,
      53.011156462585,
      53.3594557823129,
      53.5684353741497,
      53.7077551020408,
      54.0560544217687,
      54.2418140589569,
      54.4043537414966,
      54.6133333333333,
      54.7526530612245,
      55.1009523809524,
      55.3099319727891,
      55.4492517006803,
      55.658231292517,
      55.7975510204082,
      56.1690702947846,
      56.3548299319728,
      56.5173696145125,
      56.8888888888889,
      57.2139682539683,
      57.4461678004535,
      57.910566893424,
      58.1195464852608,
      58.2588662131519,
      58.6071655328798,
      58.9554648526077,
      59.1644444444444,
      59.5591836734694,
      59.6520634920635,
      60.0003628117914,
      60.3486621315193,
      60.6969614512472,
      60.8130612244898,
      60.9756009070295,
      61.0917006802721,
      61.3935600907029,
      61.7650793650794,
      62.1133786848073,
      62.2991383219955,
      62.4616780045351,
      62.809977324263,
      62.9957369614513,
      63.1814965986395,
      64.2263945578231,
      64.9229931972789,
      65.1319727891157,
      65.2712925170068,
      65.6195918367347,
      65.8053514739229,
      65.9911111111111,
      66.339410430839,
      66.7109297052154,
      67.0360090702948,
      67.4075283446712,
      67.6165079365079,
      68.104126984127,
      68.4524263038549,
      69.1490249433107,
      69.4973242630385,
      69.8456235827664,
      70.1939229024943,
      70.3796825396825,
      70.5422222222222,
      71.0762811791383,
      71.2620408163265,
      71.4245804988662,
      71.5871201814059,
      71.9354195011338,
      72.3069387755102,
      72.6784580498866,
      73.0267573696145,
      73.2125170068027,
      73.3286167800454,
      73.5608163265306,
      73.7233560090703,
      73.9555555555555,
      74.0716553287982,
      74.4431746031746,
      74.6057142857143,
      74.6521541950113,
      74.768253968254,
      75.1165532879819,
      75.4648526077097,
      75.8131519274376,
      75.8595918367347,
      76.1614512471655,
      76.5097505668934,
      76.8580498866213,
      77.0670294784581,
      77.2063492063492,
      77.3921088435374,
      77.5314285714286,
      77.7171882086168,
      77.8797278911565,
      78.1119274376417,
      78.2280272108843,
      78.4602267573696,
      78.5995464852608,
      78.7620861678004,
      78.8085260770975,
      78.8781859410431,
      78.9246258503401,
      79.1103854875283,
      79.272925170068,
      79.5051247165533,
      79.6212244897959,
      79.9695238095238,
      80.155283446712,
      80.3178231292517,
      80.6893424036281,
      80.8518820861678,
      81.0144217687075,
      81.3859410430839,
      81.5717006802721,
      81.7110204081633,
      82.0825396825397,
      82.4076190476191,
      82.6398185941043,
      82.7791383219955,
      82.9416780045351,
      83.1274376417234,
      83.4757369614512,
      83.6614965986395,
      83.8240362811791,
      84.0097959183673,
      84.172335600907,
      84.3813151927438,
      84.5206349206349,
      84.7296145124717,
      84.8689342403628,
      85.0779138321995,
      85.2404535147392,
      85.4262131519274,
      85.5655328798186,
      85.7745124716553,
      85.9138321995465,
      86.1228117913832,
      86.2621315192744,
      86.4943310657596,
      86.6104308390023,
      86.9819501133787,
      87.1677097505669,
      87.307029478458,
      87.5160090702948,
      87.6553287981859,
      88.0036281179138,
      88.3751473922902,
      88.584126984127,
      88.7234467120181,
      89.0485260770975,
      89.4200453514739,
      89.7683446712018,
      89.9773242630386,
      90.1166439909297,
      90.4649433106576,
      90.836462585034,
      91.5330612244898,
      91.8813605442177,
      92.0439002267574,
      92.206439909297,
      92.4618594104308,
      92.7404988662132,
      92.8101587301587,
      92.9262585034014,
      93.2745578231293,
      93.4603174603175,
      93.6460770975057,
      93.7853968253968,
      93.971156462585,
      94.2962358276644,
      95.0160544217687,
      95.3875736961451,
      95.5501133786848,
      95.735873015873,
      96.0609523809524,
      96.4092517006803,
      96.618231292517,
      96.7807709750567,
      97.1290702947846,
      97.4541496598639,
      97.8024489795918,
      98.1739682539683,
      98.3365079365079,
      98.4990476190476,
      98.6848072562358,
      98.8473469387755,
      99.0098866213152,
      99.1724263038549,
      99.4510657596372,
      100.565623582766,
      100.937142857143,
      101.14612244898,
      101.540861678005,
      101.958820861678,
      102.23746031746,
      102.678639455782,
      103.02693877551,
      103.35201814059,
      103.584217687075,
      103.723537414966,
      103.955736961451,
      104.071836734694,
      104.257596371882,
      104.420136054422,
      104.582675736961,
      104.930975056689,
      105.093514739229,
      105.302494331066,
      105.441814058957,
      105.813333333333,
      106.161632653061,
      106.509931972789,
      106.788571428571,
      107.206530612245,
      107.554829931973,
      107.903129251701,
      108.599727891156,
      108.808707482993,
      108.948027210884,
      109.319546485261,
      109.505306122449,
      109.64462585034,
      110.016145124717,
      110.178684807256,
      110.341224489796,
      110.573424036281,
      110.689523809524,
      111.0610430839,
      111.409342403628,
      111.757641723356,
      112.105941043084,
      112.454240362812,
      112.709659863946,
      112.80253968254,
      113.127619047619,
      113.499138321995,
      113.847437641723,
      114.195736961451,
      114.520816326531,
      114.869115646259,
      115.054875283447,
      115.217414965986,
      115.403174603175,
      115.565714285714,
      115.914013605442,
      116.610612244898,
      117.21433106576,
      117.353650793651,
      118.073469387755,
      118.770068027211,
      119.09514739229,
      119.164807256236,
      119.466666666667,
      120.163265306122,
      120.558004535147,
      120.697324263039,
      120.859863945578,
      120.906303854875,
      121.138503401361,
      121.556462585034,
      121.742222222222,
      121.92798185941,
      122.25306122449,
      122.601360544218,
      122.787120181406,
      122.949659863946,
      123.321179138322,
      123.483718820862,
      123.83201814059,
      124.017777777778,
      124.203537414966,
      124.366077097506,
      124.551836734694,
      125.062675736961,
      125.736054421769,
      126.130793650794,
      126.455873015873,
      126.827392290249,
      127.013151927438,
      127.175691609977,
      127.361451247166,
      127.523990929705,
      127.872290249433,
      128.615328798186,
      129.010068027211,
      129.33514739229,
      130.008526077098,
      130.356825396825,
      130.728344671202,
      131.424943310658,
      131.773242630385,
      131.935782312925,
      132.144761904762,
      132.307301587302,
      132.818140589569,
      133.352199546485,
      133.514739229025,
      134.211337868481,
      134.559637188209,
      134.907936507937,
      135.116916099773,
      135.627755102041,
      136.185034013605,
      136.324353741497,
      136.533333333333,
      137.020952380952,
      137.36925170068,
      137.717551020408,
      138.042630385488,
      138.228390022676,
      138.576689342404,
      138.762448979592,
      139.11074829932,
      139.482267573696,
      139.853786848073,
      140.2020861678,
      140.550385487528,
      140.875464852608,
      141.246984126984,
      141.479183673469,
      141.595283446712,
      141.94358276644,
      142.291882086168,
      142.524081632653,
      142.663401360544,
      143.011700680272,
      143.19746031746,
      143.36,
      143.708299319728,
      144.033378684807,
      144.404897959184,
      144.753197278912,
      144.985396825397,
      145.124716553288,
      145.310476190476,
      145.473015873016,
      145.798095238095,
      146.169614512472,
      146.5179138322,
      146.866213151927,
      147.075192743764,
      147.562811791383,
      147.748571428571,
      147.911111111111,
      148.096870748299,
      148.793469387755,
      148.956009070295,
      149.18820861678,
      149.490068027211,
      149.652607709751,
      150.000907029478,
      150.186666666667,
      150.511746031746,
      150.720725623583,
      150.883265306122,
      151.045804988662,
      151.39410430839,
      151.765623582766,
      152.090702947846,
      152.439002267574,
      152.81052154195,
      153.158820861678,
      153.367800453515,
      153.507120181406,
      153.692879818594,
      153.855419501134,
      154.203718820862,
      154.55201814059,
      154.714557823129,
      154.900317460317,
      155.225396825397,
      155.596916099773,
      155.921995464853,
      156.525714285714,
      156.665034013605,
      157.036553287982,
      157.361632653061,
      157.686712018141,
      158.058231292517,
      158.406530612245,
      158.754829931973,
      159.103129251701,
      159.312108843537,
      159.822947845805,
      160.148027210884,
      160.867845804989,
      161.239365079365,
      161.587664399093,
      161.935963718821,
      162.284263038549,
      162.632562358277,
      162.980861678005,
      163.329160997732,
      163.67746031746,
      164.025759637188,
      164.397278911565,
      164.745578231293,
      164.931337868481,
      165.651156462585,
      165.790476190476,
      166.347755102041,
      166.487074829932,
      166.881814058957,
      167.137233560091,
      167.206893424036,
      167.555192743764,
      167.764172335601,
      167.903492063492,
      168.25179138322,
      168.600090702948,
      168.948390022676,
      169.296689342404,
      169.644988662132,
      169.993287981859,
      170.341587301587,
      170.527346938776,
      171.038185941043,
      171.40970521542,
      171.734784580499,
      172.083083900227,
      172.245623582766,
      173.12798185941,
      173.499501133787,
      173.871020408163,
      174.405079365079,
      174.892698412698,
      175.240997732426,
      175.589297052154,
      176.28589569161,
      176.982494331066,
      177.168253968254,
      177.330793650794,
      177.679092970522,
      178.050612244898,
      178.398911564626,
      178.770430839002,
      179.11873015873,
      180.163628117914,
      180.511927437642,
      180.86022675737,
      181.208526077098,
      181.789024943311,
      181.928344671202,
      182.11410430839,
      182.253424036281,
      182.624943310658,
      182.950022675737,
      183.135782312925,
      183.484081632653,
      183.646621315193,
      183.994920634921,
      184.366439909297,
      184.714739229025,
      185.086258503401,
      185.411337868481,
      185.759637188209,
      185.806077097506,
      185.945396825397,
      186.107936507937,
      186.479455782313,
      187.501133786848,
      187.849433106576,
      188.058412698413,
      188.220952380952,
      188.56925170068,
      188.755011337868,
      188.917551020408,
      189.080090702948,
      189.265850340136,
      189.451609977324,
      189.614149659864,
      190.333968253968,
      190.519727891156,
      190.682267573696,
      190.868027210884,
      191.193106575964,
      191.703945578231,
      192.539863945578,
      192.748843537415,
      193.445442176871,
      193.979501133787,
      194.327800453515,
      194.490340136054,
      195.18693877551,
      195.558458049887,
      195.906757369615,
      196.278276643991,
      196.974875283447,
      197.323174603175,
      197.601814058957,
      198.01977324263,
      198.716371882086,
      199.064671201814,
      199.43619047619,
      199.59873015873,
      199.76126984127,
      200.109569160998,
      200.481088435374,
      201.549206349206,
      201.897505668934,
      202.43156462585,
      202.617324263039,
      202.942403628118,
      203.290702947846,
      203.476462585034,
      203.662222222222,
      204.01052154195,
      204.358820861678,
      204.707120181406,
      204.869659863946,
      205.055419501134,
      205.380498866213,
      205.728798185941,
      205.914557823129,
      206.077097505669,
      206.425396825397,
      206.773696145125,
      207.145215419501,
      207.330975056689,
      207.493514739229,
      207.679274376417,
      207.841814058957,
      208.190113378685,
      208.375873015873,
      208.538412698413,
      208.747392290249,
      208.886712018141,
      209.235011337868,
      209.606530612245,
      209.745850340136,
      209.931609977324,
      210.117369614512,
      210.256689342404,
      210.62820861678,
      210.976507936508,
      211.162267573696,
      211.324807256236,
      211.649886621315,
      212.021405895692,
      212.36970521542,
      212.555464852608,
      212.903764172336,
      213.066303854875,
      213.275283446712,
      213.437823129252,
      213.62358276644,
      213.948662131519,
      214.134421768707,
      214.482721088435
    ],
    "onset_strength_curve": [
      1.59740839963854,
      2.03217629252508,
      2.26451036552465,
      1.59317559458086,
      2.42408201493234,
      2.41491934623934,
      1.63634409726086,
      2.17762604349523,
      2.51141222676135,
      1.63466028732477,
      2.26956055874656,
      2.2435122085468,
      2.32103533528462,
      2.20513170122747,
      2.06174414323,
      2.34570255383158,
      1.70903821946297,
      2.06879097126173,
      1.99133079844885,
      2.44580965357805,
      1.78836074552324,
      2.21879488567501,
      1.97928420982657,
      1.8129669713543,
      2.07654899546486,
      2.52036788685963,
      1.68230186635762,
      2.20777024433485,
      2.60669603476077,
      1.48109584426609,
      1.65756713429515,
      2.57660180150692,
      1.6458038970425,
      2.2028235938064,
      2.06937166496831,
      2.29098230224985,
      2.09337693869865,
      2.2486548130756,
      2.11433870363407,
      1.8576312945084,
      2.09140649807073,
      1.76833652155817,
      2.35005242042873,
      2.38532317644754,
      1.30038396215789,
      1.47687933600561,
      2.3872818385131,
      2.23430073091991,
      2.35221974004043,
      1.85440082844057,
      1.80303634325886,
      1.51764945825373,
      1.51126396783666,
      1.78792376326741,
      1.48776279860996,
      1.57917358194309,
      1.03217315009237,
      1.53687582257404,
      1.52961743307433,
      1.66447050347336,
      2.01495228867614,
      1.8706396816475,
      2.29762504603474,
      1.13066454301714,
      2.11231721743003,
      3.17603864220141,
      1.78796242415359,
      2.28186204829446,
      1.91088368418681,
      2.13189405082525,
      2.02249876348613,
      2.04739706145196,
      2.43141399959121,
      1.47719115167113,
      1.453133764687,
      1.58513231128893,
      1.43532115843558,
      2.29462285097203,
      1.78818268573656,
      1.36648713027465,
      2.0176121104487,
      1.67019687418827,
      2.45428526463687,
      1.24621885981634,
      2.01696161018268,
      2.46559144621604,
      2.082124888093,
      2.63874886008707,
      1.9506940531923,
      1.70943747389432,
      1.91615761876024,
      1.67172211372087,
      2.16013923273104,
      1.48297199406767,
      1.53012408967845,
      1.93232190813061,
      1.38303769859741,
      1.4977518208881,
      1.54963143733447,
      1.53347280963627,
      1.47575168700291,
      1.13277447155704,
      1.45378933487053,
      1.17559076109485,
      1.54658498654117,
      2.21868727487849,
      1.53676040660216,
      1.26404625357694,
      1.75779314284435,
      1.26670074312767,
      1.96210457786513,
      1.5983795654094,
      1.22696566248107,
      1.87972104234258,
      1.61373544870952,
      1.6296663697329,
      1.38936779646573,
      1.64748499117586,
      1.4746694548491,
      1.42841926708845,
      1.64506832921596,
      1.48284278494609,
      1.6818491166676,
      1.54179176290586,
      1.46681848760096,
      1.95001995074765,
      1.21872586884188,
      1.52907023635181,
      2.07710848361207,
      1.53665975345098,
      1.2935908893034,
      1.35054443874034,
      1.16823613993854,
      1.77998498656021,
      1.43463207825276,
      1.47072638847203,
      1.6098688116446,
      1.63994633054669,
      1.69778793738588,
      1.711994661897,
      1.64024932905468,
      1.58382885992213,
      1.17370094014004,
      1.7536239819392,
      1.79105125756801,
      1.17647383813248,
      1.90019660839838,
      1.36129514441887,
      0.783169516609304,
      1.59330699239937,
      1.46883653998701,
      2.15313813299423,
      0.901421634022658,
      1.91106009902363,
      2.32917679391658,
      1.49716387522377,
      1.64768544803414,
      1.59569282117492,
      1.62481342602258,
      2.25061325394629,
      2.11722653032947,
      2.35987227742821,
      1.61106276698568,
      2.03071380057898,
      2.25604679787591,
      1.11840342798269,
      1.55492794268741,
      1.49615811844186,
      1.30461377018703,
      2.39999132592595,
      1.34747287623286,
      2.18892042575059,
      1.30000974365114,
      1.85369277357491,
      2.42839497895823,
      1.71028957951977,
      2.20209106277491,
      1.65150064763893,
      1.88470494523164,
      2.44534783805086,
      1.65491432007707,
      1.88009773569942,
      1.1603927271825,
      1.3122203360825,
      1.64386066202937,
      1.44933074929631,
      1.14273475793754,
      1.62897491470106,
      1.02700582385842,
      1.72204704118625,
      1.5885324961421,
      1.32028970309383,
      1.57662168887017,
      1.28616395439201,
      1.42868331349265,
      1.25611333777885,
      1.06163213459604,
      1.77666572797661,
      1.29608311962516,
      1.53969177994406,
      1.20857893105989,
      1.50898723166677,
      1.42589060168945,
      2.029104626785,
      1.36015400777158,
      1.25835141381276,
      1.28824252740199,
      1.54468888409437,
      1.25333941147847,
      1.6506352276226,
      1.27996112028184,
      1.48109977074328,
      1.5482899051152,
      1.56773006655064,
      1.65864622953447,
      1.60210290551207,
      1.29840599076181,
      1.62327686151575,
      1.51496818544709,
      1.34047969677218,
      1.56523040335336,
      1.33123263293415,
      1.08014844597577,
      1.5409854611229,
      1.35483440218243,
      1.46448443206644,
      1.79047674877722,
      1.49212157014629,
      1.28568902133351,
      1.30847834324059,
      1.10439974898649,
      1.21949189323637,
      1.19780761577308,
      1.20263623577065,
      1.68788879387506,
      1.37504961924989,
      1.34111721776899,
      1.76375718930344,
      1.29684578931273,
      1.32542662529998,
      1.25398611491586,
      1.12638468840201,
      1.5163580490919,
      1.37095174965444,
      1.74560992806953,
      1.6545172981753,
      1.50416951714342,
      1.8234775226187,
      1.51899537556592,
      1.91289938759812,
      1.72547652767249,
      1.71938345954079,
      1.96974849263714,
      1.5528759278432,
      1.61717844744569,
      2.04079600642151,
      1.6677092932025,
      1.70720140336517,
      1.33749212511697,
      1.58362338224541,
      1.62770427002168,
      1.40198814517282,
      1.58537014651884,
      1.568421822871,
      1.51174199100527,
      1.58383029174221,
      1.6440913777713,
      1.62927092347886,
      1.66842305052175,
      1.74157122235757,
      1.40620424374287,
      2.0872963896316,
      1.7408118233984,
      2.05674058824484,
      1.17858906657076,
      1.54180487957438,
      1.80005351903058,
      1.55429710311531,
      1.57543062802513,
      1.59424305527594,
      1.5400841760246,
      1.55234639106623,
      1.39750017825238,
      1.77554215520659,
      1.4359713728998,
      1.24649630806295,
      2.04315004569328,
      1.62209323928535,
      1.71847014090005,
      1.66780237635734,
      1.53144714225319,
      1.64874017638886,
      1.42092610082561,
      1.30139288694586,
      1.60818656273487,
      1.66592390290467,
      1.39909157167193,
      1.21410530720712,
      1.67873200837237,
      1.36287967118869,
      1.31450383936345,
      1.58577837016278,
      1.03621213965621,
      1.45683726102445,
      1.35966921966054,
      1.59720039183113,
      1.74006369759584,
      1.23717395171576,
      1.57575097341544,
      1.81755835352772,
      1.3185663753108,
      1.56811107350609,
      1.54263688517575,
      1.54236429456487,
      1.73102630402345,
      1.73497334816343,
      1.48625149745968,
      1.37537671327532,
      1.68862412434371,
      1.54859134496981,
      1.1400397069317,
      1.53971893850955,
      1.36311930736468,
      0.986544356060341,
      1.56414724051428,
      1.06636732841317,
      1.74704467983301,
      1.59295309069565,
      1.735662955468,
      1.74245247142903,
      1.07675188016777,
      1.50143117908498,
      1.41478340672974,
      1.33664218549916,
      1.5147664116921,
      1.25573227956844,
      1.44417968952088,
      1.22730646275539,
      1.3027978892917,
      1.44678998726729,
      1.00349137297647,
      2.38148901480704,
      2.51819434358911,
      0.911989211488402,
      1.80803355596658,
      1.57904827010369,
      1.22794533563645,
      1.44128382462752,
      0.935017742271169,
      1.32164160735229,
      1.5071739688965,
      1.43384547352309,
      1.61870171164383,
      1.51160920569436,
      1.00281782639862,
      1.45018287005967,
      1.26563124112252,
      1.33342647543966,
      1.53403316858178,
      1.44559834035305,
      1.64543132993303,
      1.44973458204888,
      1.52151714695076,
      1.83534391075231,
      1.6594690726163,
      1.51132294442742,
      1.37551041701494,
      1.10573415432334,
      1.36046799457761,
      1.42715477349447,
      1.33356312029997,
      1.46475689296878,
      1.19649339385127,
      1.61109317440739,
      1.24041555954418,
      1.59797493710216,
      1.30805059882174,
      1.35606195299275,
      1.49589743917859,
      1.34867474198087,
      1.20007462380445,
      1.78099906194861,
      1.38883484435447,
      1.47927248423936,
      1.3520553112484,
      1.41538789526501,
      1.91816203953737,
      1.77712148656674,
      1.43583652994867,
      1.22716960860398,
      1.48240862171955,
      1.59925399958595,
      1.52433038110749,
      1.55912515289661,
      1.34355191897565,
      1.51736984851706,
      1.30729778440523,
      1.47901358925247,
      1.65436172764283,
      1.20147077290912,
      1.18539525473736,
      1.51748663465705,
      1.34388059649604,
      1.28578086233716,
      1.4476715962809,
      1.66207810655987,
      1.41316103323313,
      1.13170369997478,
      1.54102106236429,
      2.15815978919414,
      1.63165793840901,
      1.5114698031454,
      1.17546156967628,
      1.32299390601008,
      1.48395718231972,
      1.28565458009885,
      1.52955716576786,
      1.31791705221419,
      1.25175413003957,
      1.2328502298589,
      1.43339536474553,
      1.59802843781532,
      1.24543000149014,
      1.15854557636824,
      1.70379924907611,
      1.31847282914366,
      1.01361878022109,
      1.56231431962509,
      1.40541352342781,
      1.33247884359449,
      1.48267584663333,
      1.3948610723905,
      1.4252927521214,
      1.53238326378717,
      1.40193326529836,
      1.2192178248319,
      1.19923628248801,
      1.32123032181559,
      0.888902779213646,
      0.837348463855965,
      0.421193976484046,
      0.158333296276678,
      0.0114891143643029,
      0,
      0,
      0,
      0
    ],
    "onset_density_curve": [
      0.05,
      0.1,
      0.15,
      0.05,
      0.15,
      0.05,
      0.05,
      0.15,
      0.05,
      0.15,
      0.05,
      0.15,
      0.1,
      0.15,
      0.1,
      0.1,
      0.1,
      0.1,
      0.15,
      0.1,
      0.05,
      0.1,
      0.05,
      0.15,
      0.1,
      0.15,
      0.1,
      0.05,
      0.1,
      0.05,
      0.1,
      0.1,
      0.1,
      0.05,
      0.15,
      0.15,
      0.1,
      0.1,
      0.1,
      0.05,
      0.1,
      0.15,
      0.15,
      0.05,
      0.15,
      0.15,
      0.15,
      0.15,
      0.15,
      0.1,
      0.2,
      0.1,
      0.15,
      0.1,
      0.05,
      0.1,
      0.05,
      0.1,
      0.05,
      0.1,
      0.2,
      0.05,
      0.1,
      0.1,
      0.1,
      0.1,
      0.1,
      0.15,
      0.15,
      0.05,
      0.2,
      0.05,
      0.05,
      0.05,
      0.1,
      0.1,
      0.1,
      0.1,
      0.1,
      0.1,
      0.1,
      0.1,
      0.15,
      0.05,
      0.15,
      0.1,
      0.1,
      0.15,
      0.1,
      0.1,
      0.15,
      0.1,
      0.05,
      0.05,
      0.15,
      0,
      0.1,
      0.15,
      0.1,
      0.05,
      0.05,
      0.1,
      0.15,
      0.1,
      0.05,
      0.05,
      0.1,
      0.1,
      0.15,
      0.1,
      0.15,
      0.1,
      0.1,
      0.1,
      0.1,
      0.05,
      0.1,
      0.1,
      0.05,
      0.1,
      0.1,
      0.15,
      0.1,
      0.05,
      0.15,
      0.1,
      0.05,
      0,
      0.05,
      0.05,
      0.1,
      0.15,
      0.05,
      0.05,
      0.1,
      0.05,
      0.1,
      0,
      0.1,
      0.05,
      0.1,
      0.05,
      0.15,
      0.1,
      0.05,
      0.05,
      0.15,
      0.15,
      0.1,
      0.15,
      0.1,
      0.1,
      0.05,
      0.1,
      0.15,
      0.15,
      0.15,
      0.25,
      0.1,
      0.15,
      0.1,
      0.1,
      0.1,
      0.1,
      0.1,
      0.15,
      0.1,
      0.1,
      0.15,
      0.15,
      0.15,
      0.15,
      0.15,
      0.1,
      0.1,
      0.1,
      0.1,
      0.1,
      0.1,
      0.1,
      0.1,
      0.05,
      0,
      0.1,
      0.15,
      0.15,
      0.1,
      0.15,
      0.05,
      0,
      0.1,
      0.1,
      0.1,
      0.1,
      0.1,
      0.05,
      0.15,
      0.1,
      0.15,
      0,
      0,
      0.1,
      0.05,
      0.1,
      0.05,
      0.05,
      0.1,
      0.15,
      0.15,
      0.1,
      0.15,
      0.05,
      0.05,
      0.1,
      0.05,
      0.1,
      0,
      0.15,
      0.05,
      0.1,
      0.15,
      0.1,
      0.1,
      0.05,
      0.1,
      0.1,
      0.1,
      0.05,
      0.05,
      0.1,
      0.15,
      0.1,
      0,
      0.05,
      0.1,
      0,
      0.05,
      0.05,
      0.15,
      0,
      0.05,
      0.2,
      0.05,
      0.15,
      0.05,
      0.15,
      0.1,
      0.05,
      0.15,
      0.05,
      0.05,
      0.05,
      0.1,
      0.05,
      0.15,
      0.1,
      0,
      0.05,
      0.1,
      0,
      0.1,
      0.05,
      0.05,
      0.1,
      0.1,
      0.05,
      0.05,
      0.05,
      0.05,
      0.1,
      0.05,
      0.05,
      0.1,
      0.05,
      0.1,
      0.05,
      0.1,
      0.1,
      0.1,
      0.05,
      0.05,
      0.1,
      0.1,
      0.1,
      0.05,
      0.1,
      0.15,
      0.05,
      0.1,
      0.1,
      0.15,
      0.05,
      0.05,
      0.1,
      0.05,
      0.15,
      0.05,
      0.1,
      0.1,
      0.05,
      0.1,
      0.15,
      0.1,
      0.05,
      0.1,
      0.05,
      0.1,
      0.15,
      0.05,
      0.15,
      0.05,
      0.1,
      0,
      0.1,
      0.1,
      0.05,
      0.1,
      0.05,
      0.1,
      0.05,
      0.05,
      0.05,
      0.05,
      0.1,
      0.05,
      0.1,
      0.05,
      0.05,
      0.1,
      0.1,
      0,
      0.1,
      0.1,
      0.05,
      0.1,
      0.15,
      0.05,
      0.1,
      0.05,
      0.1,
      0.05,
      0.05,
      0.1,
      0.05,
      0.1,
      0,
      0.1,
      0.05,
      0.05,
      0.05,
      0.05,
      0.05,
      0.05,
      0.05,
      0.1,
      0.05,
      0.1,
      0.05,
      0.05,
      0,
      0.05,
      0.1,
      0.05,
      0.1,
      0.1,
      0.1,
      0.1,
      0.1,
      0.05,
      0.05,
      0.1,
      0.15,
      0.1,
      0,
      0,
      0.1,
      0.1,
      0.15,
      0.15,
      0.05,
      0.05,
      0.15,
      0.05,
      0.05,
      0,
      0.1,
      0.05,
      0.05,
      0.1,
      0,
      0.05,
      0.1,
      0.05,
      0.05,
      0.05,
      0.05,
      0.05,
      0.05,
      0.1,
      0.1,
      0.1,
      0,
      0,
      0.1,
      0.05,
      0.1,
      0.1,
      0.05,
      0.1,
      0.1,
      0.1,
      0.1,
      0.1,
      0.05,
      0.15,
      0.1,
      0.1,
      0.15,
      0.05,
      0.15,
      0.1,
      0.1,
      0.1,
      0.05,
      0.1,
      0.1,
      0.15,
      0.1,
      0.1,
      0,
      0,
      0,
      0,
      0,
      0,
      0
    ],
    "tempo_curve": [
      184.570312443223,
      161.49902339403,
      172.265624950541,
      172.265624950541,
      172.265624950541,
      172.265624950541,
      161.49902339403,
      172.265624950541,
      172.265624950541,
      161.49902339403,
      172.265624950541,
      161.49902339403,
      184.570312443223,
      172.265624950541,
      172.265624950541,
      161.49902339403,
      184.570312443223,
      161.49902339403,
      172.265624950541,
      172.265624950541,
      172.265624950541,
      172.265624950541,
      172.265624950541,
      172.265624950541,
      172.265624950541,
      161.499023394031,
      184.570312443222,
      172.265624950541,
      172.265624950541,
      172.265624950541,
      172.265624950541,
      161.499023394031,
      172.265624950541,
      161.49902339403,
      172.265624950541,
      172.265624950541,
      184.570312443223,
      161.49902339403,
      172.265624950541,
      172.265624950541,
      172.265624950541,
      161.49902339403,
      184.570312443223,
      151.999080843847,
      198.768028780307,
      172.26562495054,
      161.49902339403,
      184.570312443223,
      172.265624950542,
      172.26562495054,
      161.49902339403,
      172.265624950542,
      172.26562495054,
      172.265624950542,
      172.26562495054,
      172.265624950542,
      172.26562495054,
      172.265624950542,
      172.26562495054,
      172.265624950542,
      172.26562495054,
      172.265624950542,
      172.26562495054,
      172.265624950542,
      172.26562495054,
      184.570312443223,
      172.265624950542,
      172.26562495054,
      172.265624950542,
      172.26562495054,
      184.570312443223,
      172.265624950542,
      184.570312443223,
      184.570312443221,
      172.265624950542,
      172.26562495054,
      172.265624950542,
      172.26562495054,
      172.265624950542,
      172.26562495054,
      172.265624950542,
      172.265624950542,
      172.26562495054,
      172.265624950542,
      172.26562495054,
      172.265624950542,
      172.26562495054,
      184.570312443223,
      172.26562495054,
      172.265624950542,
      184.570312443221,
      161.49902339403,
      184.570312443225,
      172.26562495054,
      172.26562495054,
      172.265624950544,
      184.570312443221,
      172.26562495054,
      172.265624950544,
      161.49902339403,
      172.26562495054,
      172.26562495054,
      172.26562495054,
      172.265624950544,
      172.26562495054,
      172.26562495054,
      172.26562495054,
      172.265624950544,
      161.49902339403,
      172.26562495054,
      172.26562495054,
      172.265624950544,
      172.26562495054,
      172.26562495054,
      172.26562495054,
      172.265624950544,
      172.26562495054,
      184.570312443221,
      172.265624950544,
      172.26562495054,
      172.26562495054,
      172.26562495054,
      172.265624950544,
      172.26562495054,
      172.26562495054,
      161.49902339403,
      172.26562495054,
      172.265624950544,
      172.26562495054,
      161.49902339403,
      184.570312443221,
      172.265624950544,
      172.26562495054,
      161.49902339403,
      172.26562495054,
      172.26562495054,
      172.265624950544,
      172.26562495054,
      184.570312443221,
      172.265624950544,
      172.26562495054,
      161.49902339403,
      172.26562495054,
      161.49902339403,
      172.265624950544,
      172.26562495054,
      172.26562495054,
      161.49902339403,
      184.570312443225,
      172.26562495054,
      172.26562495054,
      172.26562495054,
      172.265624950544,
      172.26562495054,
      172.26562495054,
      172.26562495054,
      172.265624950544,
      161.49902339403,
      184.570312443221,
      161.49902339403,
      172.26562495054,
      161.499023394033,
      184.570312443221,
      172.26562495054,
      172.265624950544,
      172.26562495054,
      172.26562495054,
      161.49902339403,
      172.26562495054,
      172.265624950544,
      184.570312443221,
      172.26562495054,
      172.265624950544,
      172.26562495054,
      172.26562495054,
      161.49902339403,
      172.26562495054,
      172.265624950544,
      172.26562495054,
      161.49902339403,
      172.26562495054,
      172.26562495054,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950544,
      172.265624950537,
      161.499023394033,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      161.499023394027,
      172.265624950544,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      161.499023394033,
      172.265624950537,
      172.265624950544,
      184.570312443225,
      161.499023394027,
      172.265624950544,
      172.265624950537,
      161.499023394033,
      172.265624950544,
      172.265624950537,
      184.570312443225,
      161.499023394027,
      161.499023394033,
      172.265624950544,
      184.570312443217,
      172.265624950544,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950544,
      184.570312443217,
      172.265624950544,
      161.499023394033,
      172.265624950537,
      172.265624950544,
      184.570312443225,
      172.265624950537,
      161.499023394033,
      184.570312443217,
      161.499023394033,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950544,
      161.499023394027,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950544,
      184.570312443217,
      172.265624950544,
      161.499023394033,
      172.265624950537,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950544,
      161.499023394027,
      184.570312443225,
      172.265624950537,
      161.499023394033,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950544,
      161.499023394027,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      184.570312443225,
      161.499023394027,
      184.570312443225,
      172.265624950537,
      172.265624950544,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950537,
      184.570312443225,
      161.499023394033,
      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,
      161.499023394033,
      172.265624950537,
      172.265624950544,
      172.265624950537,
      184.570312443225,
      161.499023394033,
      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,
      184.570312443225,
      172.265624950537,
      172.265624950544,
      161.499023394027,
      172.265624950544,
      161.499023394027,
      161.499023394033,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      184.570312443225,
      161.499023394027,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950544,
      161.499023394027,
      172.265624950544,
      172.265624950537,
      184.570312443225,
      172.265624950544,
      161.499023394027,
      172.265624950544,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950544,
      172.265624950537,
      161.499023394033,
      172.265624950537,
      172.265624950544,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      161.499023394033,
      161.499023394027,
      161.499023394027,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950529,
      172.265624950544,
      172.265624950544,
      161.499023394027,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      184.570312443217,
      161.499023394027,
      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,
      161.499023394039,
      161.499023394027,
      172.265624950544,
      172.265624950544,
      172.265624950529,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      161.499023394027,
      172.265624950544,
      172.265624950544,
      172.265624950529,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      161.499023394027,
      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,
      161.499023394027,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950529,
      172.265624950544,
      161.499023394027,
      184.570312443233,
      172.265624950544,
      172.265624950529,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      161.499023394027,
      172.265624950544,
      161.499023394027,
      172.265624950544,
      184.570312443217,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950529,
      161.499023394039,
      172.265624950544,
      184.570312443217,
      161.499023394027,
      172.265624950544,
      161.499023394027,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950529,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      161.499023394027,
      172.265624950544,
      161.499023394027,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950529,
      161.499023394039,
      172.265624950529,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      184.570312443217,
      172.265624950544,
      172.265624950529,
      161.499023394039,
      172.265624950544,
      172.265624950529,
      172.265624950544,
      184.570312443233,
      172.265624950529,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      161.499023394027,
      161.499023394027,
      184.570312443233,
      172.265624950544,
      172.265624950529,
      172.265624950544,
      161.499023394027,
      172.265624950544,
      184.570312443233,
      161.499023394027,
      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,
      161.499023394027,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      184.570312443217,
      172.265624950544,
      172.265624950544,
      172.265624950529,
      161.499023394039,
      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,
      172.265624950544,
      172.265624950529,
      161.499023394039,
      172.265624950529,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      184.570312443217,
      172.265624950544,
      172.265624950544,
      161.499023394027,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950529,
      184.570312443233,
      172.265624950544,
      172.265624950529,
      161.499023394039,
      161.499023394027,
      172.265624950544,
      172.265624950544,
      172.265624950529,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      161.499023394027,
      172.265624950544,
      172.265624950544,
      172.265624950529,
      184.570312443233,
      161.499023394027,
      172.265624950544,
      161.499023394027,
      172.265624950544,
      161.499023394027,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950529,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950529,
      172.265624950544,
      172.265624950544,
      184.570312443217,
      172.265624950544,
      161.499023394027,
      161.499023394039,
      172.265624950544,
      172.265624950529,
      172.265624950544,
      172.265624950544,
      184.570312443217,
      172.265624950544,
      161.499023394027,
      184.570312443233,
      172.265624950544,
      172.265624950529
    ],
    "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,
      0.727602328492531,
      0.710620813146741,
      0.6913997987228,
      0.654639281017087,
      0.595839850274784,
      0.552294261685481,
      0.549251632253808,
      0.587097786312164,
      0.633569765006845,
      0.656822396978822,
      0.668623218686948,
      0.674031197427791,
      0.673697261119663,
      0.664645232285369,
      0.640791136761337,
      0.621120794851381,
      0.625153174473568,
      0.652305349437722,
      0.682999581611457,
      0.681240783388203,
      0.639552591552443,
      0.598162210432069,
      0.586120353542728,
      0.601692204832393,
      0.631238132161243,
      0.653729355289293,
      0.642807943113845,
      0.605907365077296,
      0.557070990256916,
      0.522051665323373,
      0.516047772433704,
      0.539310342596425,
      0.578836542051614,
      0.610642556376294,
      0.619772279787037,
      0.61249474002245,
      0.613295894614463,
      0.614334685190347,
      0.588253022115517,
      0.557193137818502,
      0.547148116149544,
      0.56825654012426,
      0.621562785011687,
      0.683772325680111,
      0.725047825510324,
      0.744124006300195,
      0.740283684424995,
      0.721397883879504,
      0.69512939683618,
      0.660988056608228,
      0.637784011189594,
      0.643989128772882,
      0.669815040055704,
      0.697922314975409,
      0.726542069056859,
      0.758259485452212,
      0.766961818941816,
      0.731917119357363,
      0.696336940885014,
      0.688898581634844,
      0.700152551766481,
      0.716479895679107,
      0.738519480560111,
      0.765956388764953,
      0.774707144216286,
      0.738481828239235,
      0.684552515590216,
      0.646396874398094,
      0.619411970414143,
      0.584894045542073,
      0.552333557463897,
      0.544722374835088,
      0.563095278130888,
      0.574575442348006,
      0.57009179919852,
      0.570887588514964,
      0.594181340667555,
      0.621662974514804,
      0.623535361221357,
      0.615018840238525,
      0.61232604812915,
      0.614085042707299,
      0.618997004090606,
      0.628855282672254,
      0.649441043183071,
      0.673656079525796,
      0.676770964873023,
      0.667117563856109,
      0.666730635014623,
      0.686177557197207,
      0.709742520955111,
      0.725244581675084,
      0.736579270450704,
      0.740011169250861,
      0.727777479642401,
      0.711726095936579,
      0.707624325649707,
      0.702672309284416,
      0.686168681270727,
      0.671129647853484,
      0.671833313912396,
      0.673720737512915,
      0.657307524915004,
      0.642235905847367,
      0.649549381009756,
      0.681147576252056,
      0.702584321295521,
      0.696570213722336,
      0.70599661668831,
      0.74470556584997,
      0.798289471590675,
      0.818171909325577,
      0.801553721175526,
      0.786262600155954,
      0.781589770763832,
      0.780113002183521,
      0.773922416809122,
      0.761485198417152,
      0.74858627199976,
      0.74764584972635,
      0.767618733787657,
      0.790841383155812,
      0.789947161034108,
      0.758031324576422,
      0.712122312159975,
      0.681789592794172,
      0.681032276467156,
      0.702518030789869,
      0.722693496354659,
      0.727979912348691,
      0.723449927485266,
      0.714807367330864,
      0.711896120110171,
      0.712895793779641,
      0.713340842729709,
      0.718673481646384,
      0.734302136710623,
      0.755280741859438,
      0.767046142949704,
      0.76066234463943,
      0.745399679251842,
      0.735726394272304,
      0.725912502580517,
      0.700566036297501,
      0.673429148666343,
      0.673418432148563,
      0.702289204231448,
      0.728218189071695,
      0.715014290417739,
      0.691273608280726,
      0.688303111016617,
      0.704961118729739,
      0.736895029441285,
      0.771664482457138,
      0.790103066785319,
      0.79158024426292,
      0.785892442397094,
      0.778360244718965,
      0.774084994506422,
      0.785704001183787,
      0.809594590737188,
      0.81785678774025,
      0.805046916383129,
      0.789020077696811,
      0.777950253881671,
      0.771540622626623,
      0.772536265832258,
      0.780231094717503,
      0.786431280018902,
      0.782625695035306,
      0.772579365764682,
      0.76608242358486,
      0.767932443343107,
      0.773811332889792,
      0.759109571758198,
      0.717390627660893,
      0.68973411350737,
      0.699025836783849,
      0.733976113876472,
      0.763362405798023,
      0.775144944827158,
      0.785542420668591,
      0.785994132460833,
      0.775978999592928,
      0.77358397828181,
      0.759525497444638,
      0.729301019211871,
      0.709358328122417,
      0.71263221951838,
      0.733288659192942,
      0.74573011791985,
      0.740558916320823,
      0.731728298104262,
      0.727314639687946,
      0.725782344363808,
      0.709370881802695,
      0.689083667194339,
      0.685343730920709,
      0.695056286700588,
      0.696720332552123,
      0.404629452038281,
      0.37278951029866,
      0.343340639509375,
      0.302928553532921,
      0.246206185401658,
      0.209824336749609,
      0.219258974776033,
      0.267155133418439,
      0.311159852430296,
      0.328774408735338,
      0.340075024078881,
      0.345383779051489,
      0.349940245923052,
      0.350372522250254,
      0.318094804884468,
      0.278261797796282,
      0.27693034810517,
      0.313600185172412,
      0.350366604327791,
      0.337952851966075,
      0.277903533031714,
      0.223112888181075,
      0.207521346332729,
      0.234608416350976,
      0.297114923392135,
      0.374473644683944,
      0.401779900485136,
      0.351804417719301,
      0.268494416895778,
      0.208213300880058,
      0.183948702712287,
      0.188708287271433,
      0.217970674109584,
      0.268088590726512,
      0.329952997559247,
      0.36260935130525,
      0.336746717363641,
      0.278155236707886,
      0.21309813026242,
      0.175848048225411,
      0.17729437882783,
      0.22253576307379,
      0.319300015227696,
      0.438687090224653,
      0.520701124506757,
      0.552417074924145,
      0.531827849093057,
      0.487768649049197,
      0.45273921828425,
      0.409953208817235,
      0.361577050210608,
      0.343998152266261,
      0.373100482244372,
      0.432690821862799,
      0.491749602143793,
      0.538988360755353,
      0.553881385093446,
      0.51559091210922,
      0.479541157882509,
      0.476556862923443,
      0.479056987231512,
      0.476478234030769,
      0.499511579788473,
      0.549335256675536,
      0.56613547069938,
      0.497738856960098,
      0.402973150217229,
      0.34347691146983,
      0.31882031529659,
      0.304191621515299,
      0.290285862623101,
      0.273765822379519,
      0.256987847600212,
      0.246865205978209,
      0.248170184538427,
      0.259755833661228,
      0.272106196269709,
      0.271674189585349,
      0.257847752954297,
      0.246517451211639,
      0.241442366618647,
      0.239318948107893,
      0.246387531478263,
      0.273187066984558,
      0.328068546131659,
      0.379411372182469,
      0.390714766065768,
      0.391603709495838,
      0.407126635869414,
      0.433796107248792,
      0.445443676300828,
      0.441586602105348,
      0.444198937997001,
      0.461769369463959,
      0.485007720975282,
      0.49247680839904,
      0.470732469010909,
      0.434467833380062,
      0.399787744390906,
      0.380869070896929,
      0.379848155802329,
      0.367242403061012,
      0.331426582925606,
      0.31658159329185,
      0.35121924991956,
      0.430147103263715,
      0.479128073604068,
      0.464283465446423,
      0.473223748060419,
      0.53563907805667,
      0.630404683875915,
      0.674328954466507,
      0.654980936255628,
      0.631960580720055,
      0.620428502980075,
      0.608246689839587,
      0.585140821012185,
      0.554649944738882,
      0.533092262316222,
      0.540764305314013,
      0.583850809435563,
      0.627920771651015,
      0.625616692092931,
      0.570391218215777,
      0.492385824020913,
      0.43926574380359,
      0.435442727285125,
      0.470327485085547,
      0.502150430623752,
      0.502825050228685,
      0.488395748745209,
      0.474407235490287,
      0.466219568831374,
      0.456638652807283,
      0.448208256480067,
      0.458166682263078,
      0.489501459998934,
      0.525039794666108,
      0.547667493449496,
      0.549141239931767,
      0.530745613499283,
      0.507967547297279,
      0.491854345048946,
      0.467434998251688,
      0.430472846333272,
      0.413233572766923,
      0.437736002191658,
      0.486631548502367,
      0.500147769620473,
      0.4818016668536,
      0.481166640593912,
      0.503964608807206,
      0.537242358062049,
      0.560560867774586,
      0.559134395899885,
      0.550050720499855,
      0.547338285102963,
      0.551521085930116,
      0.564963559781011,
      0.598999780862118,
      0.650552075858783,
      0.682102137522843,
      0.674953728711792,
      0.65123561778391,
      0.620465518300783,
      0.584298278251335,
      0.562769883716236,
      0.571280092207972,
      0.596951615467132,
      0.597121305440847,
      0.570125551023161,
      0.55150210582304,
      0.554339794523361,
      0.569412011615878,
      0.552476578107264,
      0.489870524986861,
      0.445688283056313,
      0.460773154174705,
      0.521002357105866,
      0.573058727787166,
      0.595733559224906,
      0.61701825117013,
      0.617833752315977,
      0.588822508836241,
      0.564349771609993,
      0.524105746339836,
      0.466907961992389,
      0.437070128094778,
      0.452117217932533,
      0.495796845041974,
      0.522011214108002,
      0.5181625977239,
      0.505237645429925,
      0.487923581960173,
      0.464083098060079,
      0.421499811399981,
      0.388099942429513,
      0.389291854917581,
      0.406590024203496,
      0.402073998964906,
      0.289014914335737,
      0.280341014974179,
      0.270874193896134,
      0.241493664407519,
      0.188163204453698,
      0.15464961750725,
      0.167350091742341,
      0.215316120078763,
      0.256194110707691,
      0.270604555092644,
      0.275458604214839,
      0.271007157691738,
      0.271856384087647,
      0.272730366535783,
      0.232559175295542,
      0.180443175332381,
      0.173344104653482,
      0.207025579477233,
      0.237158164559639,
      0.223211814940666,
      0.174740251904184,
      0.130565324738536,
      0.114453859474582,
      0.137458670155503,
      0.209392698820945,
      0.324030905481043,
      0.39043676501235,
      0.344164066708601,
      0.24763360175787,
      0.177235025034868,
      0.144945613862556,
      0.137907581507839,
      0.15244820718101,
      0.19438861662694,
      0.262016292856218,
      0.303884552814984,
      0.272335281149773,
      0.204150992198807,
      0.141226212593188,
      0.109743768349175,
      0.11300700623212,
      0.157477023046041,
      0.259299116048059,
      0.396954186940479,
      0.497055634916107,
      0.530775595861868,
      0.487528788453855,
      0.416068373921044,
      0.371744070609007,
      0.330927646593442,
      0.281559183392319,
      0.261192167098438,
      0.295205459280584,
      0.365469906841077,
      0.425047248265536,
      0.460689597125248,
      0.466017708921356,
      0.42695413909466,
      0.395392749532382,
      0.395747051408311,
      0.394270431318402,
      0.386194436973615,
      0.417488558205298,
      0.48902464675256,
      0.519831723523404,
      0.445729350432232,
      0.342030335720715,
      0.275076171514146,
      0.247486020674978,
      0.251418835866275,
      0.275866279665295,
      0.28565859180828,
      0.256106592036599,
      0.214684313246492,
      0.195320212482841,
      0.195420328030455,
      0.192163600871569,
      0.175066608120919,
      0.159925148108948,
      0.157198550950515,
      0.160188700376529,
      0.16409631707905,
      0.178103171375624,
      0.216602398216023,
      0.289402426793033,
      0.3550871053701,
      0.375697183437979,
      0.390997429137852,
      0.414992019320905,
      0.422252040414862,
      0.39538924063925,
      0.362024183003426,
      0.354326849112927,
      0.3826855387749,
      0.433810996266723,
      0.457565214489524,
      0.424631426121555,
      0.378947138851943,
      0.353091092684475,
      0.352844360748545,
      0.362245031603055,
      0.335621814660418,
      0.275711370889313,
      0.25705153049275,
      0.311773341342882,
      0.424349557988926,
      0.490032227455334,
      0.45844987652993,
      0.447584923922241,
      0.499695001765233,
      0.599384001164968,
      0.657587473600158,
      0.645039417585831,
      0.624053269538919,
      0.616433085164776,
      0.604995925030203,
      0.571968348579229,
      0.524808138519338,
      0.492868541078607,
      0.505271862603455,
      0.567447273957291,
      0.629217307847915,
      0.617086323682042,
      0.537760721680652,
      0.448077229182052,
      0.393642308107719,
      0.389134502420587,
      0.422335021083024,
      0.456397470515857,
      0.464497809662311,
      0.45640934913887,
      0.438632086633079,
      0.412909188235348,
      0.382087649536774,
      0.36486107618388,
      0.381698218698747,
      0.424762403957301,
      0.464203756526887,
      0.48211883688643,
      0.485332247980421,
      0.475043559644471,
      0.454772099591662,
      0.436478161551671,
      0.414080949507182,
      0.382500365987452,
      0.366554530248896,
      0.390544977966341,
      0.450420203407748,
      0.482564089738421,
      0.4640802058297,
      0.452122062161562,
      0.468685645229124,
      0.499545998619626,
      0.508692629909777,
      0.481435849808223,
      0.460446375260728,
      0.464450707156635,
      0.484425992800342,
      0.514955222876406,
      0.553596529503614,
      0.600058874855307,
      0.634033490189195,
      0.632704417698804,
      0.610681029891108,
      0.57736521042745,
      0.536066548936662,
      0.510347274665767,
      0.520040086388729,
      0.551237666747412,
      0.553177562591454,
      0.527944228684418,
      0.515669640795367,
      0.517937182062847,
      0.52425201050721,
      0.505373642973636,
      0.447485569513909,
      0.402892435149132,
      0.413123459490106,
      0.472111379513492,
      0.531292017191568,
      0.565594026416211,
      0.598865564723551,
      0.606665650956373,
      0.572480526201888,
      0.531330526298269,
      0.468158982796162,
      0.395822771864477,
      0.366391067128731,
      0.393815175497937,
      0.450494854835861,
      0.475196269188736,
      0.463635202008239,
      0.450891138648024,
      0.431954575353652,
      0.391666901486013,
      0.328018640866157,
      0.283798092570584,
      0.28452237952064,
      0.306345389782467,
      0.309703498806819,
      0.286613204700499,
      0.288459492870885,
      0.286162365850909,
      0.256651986768318,
      0.199357306597011,
      0.165255101044102,
      0.17612349945143,
      0.214446022223199,
      0.247631952610221,
      0.271213653758547,
      0.289549413093646,
      0.281321616281026,
      0.267199741767226,
      0.259902321779526,
      0.222197732951053,
      0.176345568944739,
      0.173222512301889,
      0.209084544917851,
      0.243305327974244,
      0.234587515072713,
      0.184516608051407,
      0.132110494945879,
      0.108811336828605,
      0.128743173777193,
      0.201165916831104,
      0.32177345934239,
      0.398130745265913,
      0.360542434640866,
      0.265264533287883,
      0.189170403912955,
      0.150090654616526,
      0.138284356842091,
      0.14902219394802,
      0.184445501611455,
      0.244192699811507,
      0.287149329547219,
      0.268541987485916,
      0.215277047955917,
      0.158029926631863,
      0.122432119607359,
      0.118945107471927,
      0.159083468285887,
      0.261171098756758,
      0.399317991292491,
      0.495172716285036,
      0.525183677020975,
      0.476798370402856,
      0.396110179717116,
      0.345122758833821,
      0.303378927227379,
      0.256012253880038,
      0.238151695931351,
      0.276697347945623,
      0.356888492596296,
      0.43091406696051,
      0.476516563995498,
      0.478788951383896,
      0.425180404727869,
      0.379619063519393,
      0.370055393844254,
      0.363471412946575,
      0.358510987750603,
      0.400512250660076,
      0.488144095167738,
      0.532996470281782,
      0.459125460452121,
      0.344313257916395,
      0.268608556881529,
      0.24087607842858,
      0.244946827393841,
      0.265552285425248,
      0.274352902490594,
      0.249648382321478,
      0.214104262000413,
      0.198725898035202,
      0.201932233126723,
      0.199030241689589,
      0.178638504120333,
      0.162256617766713,
      0.158780660498364,
      0.15841409651242,
      0.160973223153854,
      0.180349802593881,
      0.232876164742931,
      0.322135291583229,
      0.390816902525899,
      0.403069033712272,
      0.412356322556066,
      0.425911081804017,
      0.409967902149993,
      0.364445135422751,
      0.330496940764449,
      0.330248301844922,
      0.366901091201662,
      0.427977769173853,
      0.462992979486574,
      0.437892821942762,
      0.393458112727668,
      0.366254097977873,
      0.366474826448095,
      0.378971265478477,
      0.354326839629964,
      0.293297531034157,
      0.274093567453476,
      0.328042933372928,
      0.436411384662102,
      0.491988166899785,
      0.450307215822718,
      0.434656822752292,
      0.486261563299433,
      0.587583941100207,
      0.648671015656643,
      0.642493365608478,
      0.632949464094365,
      0.637530704130283,
      0.630026253436039,
      0.589747515666674,
      0.530312473368403,
      0.489596735614502,
      0.502305759254626,
      0.57134277260025,
      0.633395755204371,
      0.607576731487881,
      0.516052617706605,
      0.426338130965312,
      0.378174979008945,
      0.384704059131246,
      0.43451665257269,
      0.482563056426241,
      0.494182390268778,
      0.482070781593065,
      0.455541530556773,
      0.41672016019612,
      0.373088409204064,
      0.349886558848281,
      0.369014879597128,
      0.419907308540378,
      0.467466309435119,
      0.488468645626392,
      0.491887740998991,
      0.479616630806018,
      0.454979175215556,
      0.432784473293218,
      0.409694744819204,
      0.382514242538564,
      0.374073305713394,
      0.40213435839895,
      0.455573570634924,
      0.474307203201814,
      0.448247756308343,
      0.436771472018541,
      0.460473652653203,
      0.49877066624508,
      0.506634545294311,
      0.477778203568215,
      0.459647131252939,
      0.462459104204687,
      0.476332163137076,
      0.501387193537018,
      0.539840535902176,
      0.587563967542324,
      0.620282969699169,
      0.618166215245196,
      0.597667974281385,
      0.566439387831933,
      0.52608976173126,
      0.501620882698293,
      0.511942509035531,
      0.54030319322723,
      0.541316595256164,
      0.523641895663302,
      0.519839131809465,
      0.522257976818924,
      0.52330359766865,
      0.501139972153076,
      0.441126472299031,
      0.393189712458041,
      0.399394587816193,
      0.454856082000326,
      0.511800656770354,
      0.547203344400034,
      0.587886117535139,
      0.609237456065334,
      0.582250915595858,
      0.535106024815268,
      0.461649752451746,
      0.385293608370735,
      0.357730071931218,
      0.389697870606247,
      0.450094345078178,
      0.471750898872677,
      0.456529557009901,
      0.446461777023369,
      0.429602426872732,
      0.384877878206691,
      0.31647804644662,
      0.2719814516635,
      0.273845341592895,
      0.297502252870954,
      0.30383032542805,
      0.316409192447284,
      0.31989792722829,
      0.322181925277666,
      0.299883542040738,
      0.245005674246065,
      0.210139253940732,
      0.221353495326531,
      0.256479580913371,
      0.277544150470651,
      0.293494434109523,
      0.323332807594904,
      0.330878275552931,
      0.315504837206783,
      0.299041254670822,
      0.258750298085692,
      0.212060588867595,
      0.202301479159024,
      0.234664287808081,
      0.28432407057225,
      0.301571327613452,
      0.259890324969174,
      0.198255788884469,
      0.166918155326876,
      0.186735668404499,
      0.256740401583644,
      0.358129146715142,
      0.409202670436326,
      0.368365463471184,
      0.281882876546327,
      0.2113002893649,
      0.175861225491028,
      0.169960947899288,
      0.187629296986969,
      0.223190331929027,
      0.273036242468435,
      0.313229769529714,
      0.309913509126336,
      0.269423722006869,
      0.209683198819722,
      0.166126147327445,
      0.156869432008733,
      0.19225117392475,
      0.284601433638355,
      0.401483189685745,
      0.476469674960019,
      0.50549768316854,
      0.47910155822814,
      0.421363392465212,
      0.384836091062322,
      0.352142146444553,
      0.310004743008816,
      0.293961061443599,
      0.33075772361861,
      0.406149538699593,
      0.477789107752318,
      0.531892398862967,
      0.548373191802119,
      0.497749048878103,
      0.44063992580913,
      0.416809458606763,
      0.408059567390608,
      0.413091236224502,
      0.45869378117008,
      0.534970583849327,
      0.563195623976744,
      0.48106522681729,
      0.364958408049237,
      0.30001890463696,
      0.30078519549322,
      0.320726646781481,
      0.319326782243112,
      0.297119362972648,
      0.27632966172981,
      0.270462071829981,
      0.275362787221446,
      0.283843543731276,
      0.283205818994499,
      0.26754037004914,
      0.252559260918814,
      0.247974617868324,
      0.24343997683826,
      0.236986339109958,
      0.245269908011001,
      0.284285301666945,
      0.351293538769453,
      0.395750870706765,
      0.396430010135284,
      0.397595908256309,
      0.404293863604594,
      0.396443131832633,
      0.372815100883159,
      0.354517063030769,
      0.357267753679784,
      0.388823062488099,
      0.439299393497984,
      0.471103974536626,
      0.459825574492193,
      0.43100306108437,
      0.405052069932338,
      0.387872892130873,
      0.380802021780196,
      0.36221612819781,
      0.32722025626952,
      0.316284419225806,
      0.349881355265507,
      0.419515721263537,
      0.453153298794161,
      0.425378922884134,
      0.42699742357922,
      0.48840989811603,
      0.590491929443113,
      0.644377781436741,
      0.632344767108851,
      0.620764235520113,
      0.624050634199284,
      0.619924008601596,
      0.590361510213003,
      0.541020952559676,
      0.50006949594185,
      0.501717103240169,
      0.558471148503111,
      0.615692762519943,
      0.597615027012378,
      0.517415608485894,
      0.433370566340038,
      0.390381961105944,
      0.406810167559103,
      0.4669911991139,
      0.514844376978287,
      0.515410835561823,
      0.4982265828463,
      0.483902436958185,
      0.467869424975753,
      0.439406395949202,
      0.41200634897559,
      0.417188137893497,
      0.459221831932306,
      0.505440955082859,
      0.525872749269485,
      0.523569460889342,
      0.505961667410029,
      0.483969030907399,
      0.467197033089046,
      0.442546755825085,
      0.410005208728126,
      0.400622201743486,
      0.427289175048432,
      0.463780430660847,
      0.458920801347302,
      0.43137626257735,
      0.430396563536311,
      0.460697380186802,
      0.500479181856346,
      0.51644831021692,
      0.507209519390234,
      0.501840005538772,
      0.504935400961121,
      0.514387314741819,
      0.536569157277621,
      0.575114192463286,
      0.618159746687595,
      0.642871282308974,
      0.638053207011664,
      0.621268599352133,
      0.592278739566412,
      0.550001429018407,
      0.522144224432476,
      0.530043103107992,
      0.564063251353798,
      0.579746916613879,
      0.56687433968155,
      0.551611986057034,
      0.538765905738401,
      0.531811915772606,
      0.505614777311524,
      0.443835476889849,
      0.400073531209223,
      0.414751702013616,
      0.477761877074149,
      0.534159219937118,
      0.56015707076768,
      0.590331123837649,
      0.608423102824515,
      0.589176153827914,
      0.554982825419349,
      0.492941939525676,
      0.422725583349535,
      0.395446433083287,
      0.423597186671758,
      0.479731247267104,
      0.500912071795604,
      0.488893472288945,
      0.482420962808015,
      0.467659847760327,
      0.425889793149621,
      0.362331406894189,
      0.321827296715071,
      0.322752101693658,
      0.340955853355002,
      0.341346027344516,
      0.370925088624082,
      0.381164727138242,
      0.385245257590861,
      0.364071185200664,
      0.317504935796026,
      0.294178967967964,
      0.308569423056269,
      0.335447258669375,
      0.34844182251014,
      0.369476538445396,
      0.415321079729562,
      0.440134342981311,
      0.42788337776322,
      0.397185597980409,
      0.345156436363596,
      0.301892895442403,
      0.296146137344283,
      0.325705268206091,
      0.377174908222926,
      0.419535845716327,
      0.427522983235864,
      0.413927020166285,
      0.411812301983297,
      0.440664078937577,
      0.489280291908879,
      0.52014803061653,
      0.483624759283485,
      0.410241273696894,
      0.332926560602252,
      0.275628296642215,
      0.248758398589257,
      0.248054574850649,
      0.266692483690242,
      0.292445916357258,
      0.319036420951803,
      0.34821689683475,
      0.363320299718507,
      0.344521912866059,
      0.299093606517115,
      0.266990137294163,
      0.265198989096567,
      0.296587926575211,
      0.367145625045794,
      0.455120669580955,
      0.519286495141139,
      0.555282631833896,
      0.549437676967364,
      0.516191491096497,
      0.49184002217576,
      0.461830047501048,
      0.425770217900857,
      0.419472155302048,
      0.45721474756026,
      0.518341262121102,
      0.56986595805454,
      0.610800044424477,
      0.625602112770043,
      0.58389709061982,
      0.53333166649706,
      0.505509141418069,
      0.484784382524715,
      0.480319904241552,
      0.521511826590536,
      0.590800697900429,
      0.615614346772533,
      0.544595705087235,
      0.442848984722305,
      0.381581866964221,
      0.371887144186639,
      0.370878592595469,
      0.34921870414155,
      0.325944940211776,
      0.324962228969387,
      0.334480864155488,
      0.341855504988252,
      0.354104459271531,
      0.374807576590748,
      0.394161386274495,
      0.409055518001359,
      0.419923533307168,
      0.415016416415207,
      0.396910999166932,
      0.384629674471985,
      0.389330340326185,
      0.413628183297827,
      0.439837874628961,
      0.446331716024606,
      0.443708462954337,
      0.441590738758045,
      0.437457610517483,
      0.436314296845809,
      0.448707275924792,
      0.468350522394534,
      0.485376412972375,
      0.492132274375938,
      0.482735313583616,
      0.467169090824739,
      0.458972428947763,
      0.451673239267994,
      0.43795942342624,
      0.428649214766148,
      0.424286523220042,
      0.409560262793203,
      0.396680443070729,
      0.404880176444279,
      0.43841085898358,
      0.465250127182747,
      0.467591630007808,
      0.490334770048375,
      0.551487290732327,
      0.63772841729248,
      0.677184634154033,
      0.657651927616755,
      0.638666331664944,
      0.637674740464896,
      0.636983854329505,
      0.612364863216801,
      0.564597375614575,
      0.525775048117547,
      0.529172531960131,
      0.579980267370528,
      0.632626997425999,
      0.635701998884295,
      0.585004242538334,
      0.507438362700547,
      0.453280146919523,
      0.460599748091167,
      0.521877217309674,
      0.570085301161507,
      0.559962015244999,
      0.532140807682033,
      0.519823775122013,
      0.521118535839407,
      0.518949582161203,
      0.511349400740001,
      0.51970212352174,
      0.551537745359989,
      0.587561825277063,
      0.607903317643845,
      0.610674995066162,
      0.59637705441367,
      0.579460242992142,
      0.572427832145547,
      0.548656481016212,
      0.495407695627616,
      0.454547683057759,
      0.457502894710992,
      0.489353086365292,
      0.496661859177045,
      0.478473597642778,
      0.473671545387788,
      0.487841718360741,
      0.514639797130203,
      0.544414401280411,
      0.569274102750084,
      0.582351703737564,
      0.582869115184778,
      0.58056154823452,
      0.59168517723302,
      0.629773211363036,
      0.675093623437726,
      0.693412441033965,
      0.679662332935111,
      0.659344754465624,
      0.629826641508265,
      0.58931561220118,
      0.565981911952313,
      0.579440171124441,
      0.618725383946472,
      0.640266696267211,
      0.630833782200394,
      0.612563880642674,
      0.591488141706092,
      0.574020994507831,
      0.542431626094449,
      0.489925793354895,
      0.463834705704872,
      0.493202686254755,
      0.563627566549781,
      0.621825806580027,
      0.6433555452714,
      0.657392918512819,
      0.650479220115068,
      0.616818713124066,
      0.590865804792338,
      0.553427629698538,
      0.500478605722704,
      0.470874947184317,
      0.483334451329655,
      0.527561527027411,
      0.558348614605203,
      0.559467919896839,
      0.550036228109654,
      0.531652101562833,
      0.507448690156731,
      0.473533761076743,
      0.445926814362785,
      0.439245176670915,
      0.44754673367298,
      0.450671478284314,
      0.398952355511362,
      0.422391456931484,
      0.423599739252998,
      0.389676401979027,
      0.34531271239446,
      0.337752681469409,
      0.362569207402846,
      0.397987069002281,
      0.430566324054396,
      0.467088097814297,
      0.505521570825301,
      0.517278198904431,
      0.501538068558233,
      0.461027917876508,
      0.405971571856631,
      0.389623146575357,
      0.420305601154793,
      0.464686720276759,
      0.489648342928621,
      0.50660976594343,
      0.574925324621559,
      0.682283101573541,
      0.778899848490206,
      0.845571486837273,
      0.857464987059407,
      0.764818570678087,
      0.584056467114295,
      0.460727577685552,
      0.390527914511466,
      0.338125114819925,
      0.306089359994519,
      0.294404740210253,
      0.303205029845636,
      0.331477236963386,
      0.37981438185486,
      0.430092913132146,
      0.438866894617389,
      0.404994706582178,
      0.363378919806551,
      0.351509915433541,
      0.373856531431417,
      0.425508889826372,
      0.501846343317406,
      0.5766509354311,
      0.629373966733545,
      0.667467914405501,
      0.666105355874587,
      0.629642372865906,
      0.591209749163722,
      0.550083016038447,
      0.517813766233855,
      0.519696653503369,
      0.550740989182338,
      0.590259031523513,
      0.627371798560422,
      0.662542722793092,
      0.667992607363142,
      0.621832916026405,
      0.576089786654187,
      0.553823860388882,
      0.535136418658146,
      0.531131411697065,
      0.570322646397986,
      0.633067404733043,
      0.665087890360787,
      0.635808034862909,
      0.573301612445523,
      0.500413981915327,
      0.433380580564652,
      0.386545736376914,
      0.358861280794016,
      0.346096367128095,
      0.348990662921618,
      0.355467484337601,
      0.362715038956211,
      0.384513865620508,
      0.431853306687156,
      0.487065295483578,
      0.517544463584741,
      0.51227116273887,
      0.483191377431452,
      0.453489671173822,
      0.436654654281898,
      0.432790977940845,
      0.451966029616323,
      0.499881666158376,
      0.540303305453927,
      0.556661457153099,
      0.556294634402352,
      0.544967474236054,
      0.543353891516733,
      0.563652222121842,
      0.582478349215129,
      0.581823550091025,
      0.55960148145656,
      0.522919266053098,
      0.500809920224771,
      0.503556605656288,
      0.510016518515944,
      0.505791542537324,
      0.502381991496089,
      0.512427802820645,
      0.516211482635345,
      0.508409739015032,
      0.505939373360935,
      0.522487463145495,
      0.568651446428565,
      0.613504068423152,
      0.645028660534995,
      0.675645267884996,
      0.713621583334201,
      0.727544058987352,
      0.695544730802878,
      0.665802058828812,
      0.674828012595011,
      0.700851725615545,
      0.692788693636052,
      0.650813819627073,
      0.62450275794737,
      0.638936781873291,
      0.676223789745625,
      0.702001118685914,
      0.701295929240453,
      0.666948713676782,
      0.599855252220072,
      0.53946710508765,
      0.521000799557653,
      0.549526426245742,
      0.587353657677116,
      0.596282951980309,
      0.58997481352987,
      0.58664160380025,
      0.592533866426449,
      0.5959350295753,
      0.59395233439158,
      0.607952683345369,
      0.643306382978385,
      0.680467811506927,
      0.700200462380418,
      0.708869191651375,
      0.70787622794022,
      0.6952086024867,
      0.677598655929335,
      0.642836644463888,
      0.583865650589827,
      0.531463498038879,
      0.516820647771547,
      0.538120702596707,
      0.545371584335758,
      0.523370174041685,
      0.513339466333708,
      0.530411930066723,
      0.567565190639329,
      0.604224895307514,
      0.619816396830867,
      0.61215735806744,
      0.59278561378096,
      0.575051059039358,
      0.586931838830317,
      0.662441181577627,
      0.758372261777944,
      0.791199217221654,
      0.750354502379971,
      0.701654385839695,
      0.679874963834265,
      0.665275892469255,
      0.655064112919422,
      0.664235220911455,
      0.691464609314418,
      0.705381468810212,
      0.701042032559705,
      0.700848539690875,
      0.700562850495804,
      0.693311945132802,
      0.670507008533988,
      0.638742089889541,
      0.630152505078852,
      0.659530753909383,
      0.709988795572032,
      0.739700154191852,
      0.744307023170902,
      0.749122280134901,
      0.731430833648333,
      0.685452257039427,
      0.651037126313681,
      0.617129945811373,
      0.568986207267903,
      0.538482619277544,
      0.552341684059435,
      0.617718938487534,
      0.692141159209082,
      0.716069678328899,
      0.693518325047352,
      0.658383752868459,
      0.641639669371945,
      0.622961906200157,
      0.586410035281959,
      0.557462050256757,
      0.56269243674243,
      0.597380288575851,
      0.373882182322391,
      0.387648200988501,
      0.383669940465254,
      0.354183526245346,
      0.327393471377922,
      0.33554468553389,
      0.367638651471991,
      0.408880953901458,
      0.443292628184922,
      0.46343033582402,
      0.470381003735221,
      0.466028183386161,
      0.458437576079393,
      0.425819532179561,
      0.368261165355874,
      0.348471212089404,
      0.386620967606957,
      0.450492558368818,
      0.493464805527238,
      0.504321261091645,
      0.54268238141858,
      0.62155119852056,
      0.697778543063003,
      0.742610344030149,
      0.734460495018495,
      0.662373259252259,
      0.552590988412667,
      0.456837123482663,
      0.365601964462732,
      0.299606456834507,
      0.275026115288273,
      0.279265825114368,
      0.297025300375679,
      0.323459719219181,
      0.368813834621074,
      0.420328880781345,
      0.430566458470941,
      0.400813854045267,
      0.365537970660692,
      0.355247165643239,
      0.37263634844454,
      0.413530827877074,
      0.475409332672662,
      0.537667263577743,
      0.584122409208362,
      0.623628618765943,
      0.636516422620462,
      0.615694776469037,
      0.581936643888062,
      0.54261277219229,
      0.514618929822412,
      0.517900356050005,
      0.544928979088141,
      0.579969415854126,
      0.61598270924928,
      0.646128036335156,
      0.64235217175494,
      0.602196392408165,
      0.57893962330563,
      0.5784308956972,
      0.568077818359204,
      0.557329811634314,
      0.583819888280161,
      0.633114044954079,
      0.657892177858359,
      0.630012117323471,
      0.566276480226996,
      0.486602194618343,
      0.41051685955239,
      0.362166136446185,
      0.343718378849276,
      0.338684995047121,
      0.336901924677961,
      0.332696458946055,
      0.331857789039251,
      0.347688621969118,
      0.39630158533516,
      0.468724449347762,
      0.515958270034233,
      0.508653282705615,
      0.462963549298467,
      0.418339029849541,
      0.400290989345838,
      0.412032780661784,
      0.451862138854615,
      0.496055207291701,
      0.519018097155413,
      0.534320295470406,
      0.548707582465654,
      0.557372938322238,
      0.559501829292848,
      0.55864499073585,
      0.553660596183696,
      0.547919458148201,
      0.533895213025697,
      0.506144382516771,
      0.490931471043817,
      0.497119054195694,
      0.501677075717867,
      0.496660210837952,
      0.496060172316071,
      0.496308319150387,
      0.47610619988808,
      0.454049621601519,
      0.454772946666232,
      0.487833913241145,
      0.54918736603462,
      0.59552422365259,
      0.624548556887084,
      0.658332442394682,
      0.712379407218183,
      0.738475021574106,
      0.700156863962151,
      0.661504839592267,
      0.674991014847095,
      0.721353541583462,
      0.732137908682323,
      0.689806295915393,
      0.646036035384924,
      0.645238953363358,
      0.684073598457694,
      0.715027079775747,
      0.706667697053284,
      0.659297786377679,
      0.589546109490555,
      0.537342068023414,
      0.52875699443046,
      0.561537305337508,
      0.59856151347014,
      0.606921964805359,
      0.602654189738583,
      0.603678256056789,
      0.610969629963359,
      0.602403214765802,
      0.57640614366285,
      0.570232382522178,
      0.603929568804658,
      0.657348857631123,
      0.689308474652782,
      0.691474158597439,
      0.680489079720946,
      0.669417021248041,
      0.66022769124417,
      0.63436637721357,
      0.584864221382734,
      0.541268211012857,
      0.530856832059805,
      0.547521556620529,
      0.54609868319946,
      0.522270579342455,
      0.514077912224208,
      0.532603503160302,
      0.570819053480414,
      0.60785866822952,
      0.611545863644552,
      0.587148937465056,
      0.563872393629482,
      0.555322016219037,
      0.580740620116131,
      0.65828970087702,
      0.741563586440385,
      0.759516738129539,
      0.710322123205547,
      0.664548992930047,
      0.656448789226903,
      0.658325136361666,
      0.659251784628338,
      0.670598751347958,
      0.691649638250071,
      0.700686703795072,
      0.699129141994612,
      0.704240194792487,
      0.7078337191793,
      0.702773825164557,
      0.682412251160262,
      0.656555774989113,
      0.655732354710008,
      0.688311889966131,
      0.731827797375646,
      0.749215133470436,
      0.748230972843729,
      0.754636981623188,
      0.743118344126819,
      0.706386417618721,
      0.671394968918967,
      0.614932819024647,
      0.542267731876923,
      0.507343244303634,
      0.539672348364091,
      0.635420510192776,
      0.722506725810909,
      0.730572240246467,
      0.687971443528697,
      0.646779696136449,
      0.641541833357461,
      0.637942525945039,
      0.603484538794337,
      0.570331918146354,
      0.578027990118058,
      0.623054583410942,
      0.2913803234663,
      0.304207249093985,
      0.315714825227583,
      0.315259025688519,
      0.313156419307114,
      0.328943926324699,
      0.358522230156082,
      0.386911489290512,
      0.397473906600869,
      0.396990738607754,
      0.386455427188571,
      0.362318493173963,
      0.34696601183728,
      0.331124670052506,
      0.287235728025229,
      0.250355616377122,
      0.263933608357319,
      0.324051266910462,
      0.394772672135365,
      0.420976408768733,
      0.389204675721879,
      0.343767269150362,
      0.323554394853911,
      0.336956024771472,
      0.374707952563714,
      0.42974347201717,
      0.459711849027056,
      0.410686876155884,
      0.30956664895207,
      0.238395299904229,
      0.222618114317204,
      0.241010558153409,
      0.265605375056547,
      0.282441555058635,
      0.305676191823841,
      0.341989792288753,
      0.357456179690666,
      0.334921542246604,
      0.28982135097158,
      0.259557699843806,
      0.256957537208629,
      0.281869492061486,
      0.339018881573355,
      0.416262380626324,
      0.48400768500579,
      0.528817361044076,
      0.534155071758852,
      0.510447844130399,
      0.481617729240851,
      0.445767263036986,
      0.417334352262529,
      0.424742989018911,
      0.471397643845276,
      0.535146910197813,
      0.58215203963718,
      0.599543742186181,
      0.575158778147653,
      0.519035962898617,
      0.489835078833193,
      0.494085913185706,
      0.495184720661854,
      0.492611625664888,
      0.522991596342278,
      0.579759000288465,
      0.600691289913784,
      0.533952744303072,
      0.432364628752917,
      0.362788894273644,
      0.33590849106671,
      0.324099773503204,
      0.311877549881905,
      0.305553656868475,
      0.305861429711175,
      0.301547494910822,
      0.295121687640806,
      0.29864436430495,
      0.32355333919088,
      0.368078182976413,
      0.408506484938085,
      0.419410438849189,
      0.390539426779837,
      0.349627728757985,
      0.334256935231175,
      0.355947051245276,
      0.396814287229229,
      0.408814253255193,
      0.391547319331667,
      0.387749578506098,
      0.406946546892211,
      0.434338602533267,
      0.443714587839567,
      0.435812620491881,
      0.434357284077367,
      0.455040604497753,
      0.485266179621102,
      0.498899185767545,
      0.491855610672013,
      0.476830609259509,
      0.452734116284406,
      0.428091374853719,
      0.423549172380629,
      0.428137613603765,
      0.413791713713641,
      0.398442275188706,
      0.406310196460708,
      0.440988876934762,
      0.471923381695656,
      0.477700553959598,
      0.495739471895787,
      0.549922217548017,
      0.637104018518009,
      0.681243156921903,
      0.653939578055148,
      0.621909656885242,
      0.622834212584014,
      0.645129193085495,
      0.644664902662402,
      0.602739138842613,
      0.553019959128462,
      0.543310423287348,
      0.590964035144295,
      0.648001767841794,
      0.653979493080037,
      0.601242305060134,
      0.522881584613672,
      0.471267643088092,
      0.480066112822848,
      0.538144014258539,
      0.580546433096722,
      0.565922638348082,
      0.533615902205144,
      0.517778062348501,
      0.518969221241098,
      0.516371215004696,
      0.504985301990537,
      0.510012203805655,
      0.546674828440287,
      0.59400382471037,
      0.615354245834787,
      0.600928683155736,
      0.567403691924495,
      0.547594885090807,
      0.554457806884774,
      0.552673413963868,
      0.518176115261802,
      0.485722308884658,
      0.486341745225374,
      0.50967030633944,
      0.511628226668189,
      0.491615588219679,
      0.482716553373936,
      0.491677024202376,
      0.516392938660188,
      0.544567936219146,
      0.547697132645321,
      0.537096530371,
      0.538994068075633,
      0.5582871425904,
      0.593689927473378,
      0.637541166320845,
      0.673899026728775,
      0.678499001227796,
      0.645255740279053,
      0.61474790046356,
      0.598637652025082,
      0.58278664275413,
      0.57843765071968,
      0.600099048953832,
      0.6333653428556,
      0.638688488532258,
      0.622547528742998,
      0.614815168440466,
      0.608664674088943,
      0.594135344365393,
      0.561667207581242,
      0.52023462164353,
      0.507963913941366,
      0.541672433445768,
      0.609643645753158,
      0.671795149810458,
      0.701505359975659,
      0.712208848546601,
      0.689228460229854,
      0.638268744472581,
      0.595967388329692,
      0.543868265570868,
      0.48825195215817,
      0.467732375148342,
      0.49537623820642,
      0.553660815585432,
      0.586105959772782,
      0.573708495779737,
      0.547417254587659,
      0.523432586912362,
      0.506506339883037,
      0.475136112820177,
      0.436127060390782,
      0.419512578440923,
      0.432239392284108,
      0.450682693394963,
      0.26247042743539,
      0.271255886698213,
      0.284414181119241,
      0.27797956405219,
      0.23943342458612,
      0.210353530424979,
      0.221370772537929,
      0.267240599117175,
      0.308835130302561,
      0.326341605753352,
      0.328049893253214,
      0.308085214950872,
      0.289255513442277,
      0.27949647826156,
      0.246162658663495,
      0.206732953235849,
      0.207074637331026,
      0.251327276596529,
      0.307719442320778,
      0.31848085088403,
      0.260071382686472,
      0.183028010411473,
      0.143356626393974,
      0.159807479601191,
      0.230407793798933,
      0.336747337777984,
      0.391757716822516,
      0.34989168723525,
      0.261473449604863,
      0.191355120879083,
      0.159394543064392,
      0.157222398996081,
      0.173961089719231,
      0.203415055248571,
      0.248575511850722,
      0.290167346469774,
      0.288142852764057,
      0.245168840814899,
      0.184416597272538,
      0.144920980262635,
      0.141373213074874,
      0.179055359673399,
      0.269235413717401,
      0.390476284496107,
      0.483245117997654,
      0.52242910047816,
      0.491964090901975,
      0.432860567429755,
      0.393692392724816,
      0.353893026435018,
      0.310042564382401,
      0.304074385792924,
      0.36096985108455,
      0.45417059078938,
      0.519404497417484,
      0.540036085112976,
      0.524627912001176,
      0.471831429886752,
      0.431889166836931,
      0.425175207037073,
      0.425293979359076,
      0.429169035312939,
      0.46969796133201,
      0.543341377025246,
      0.571942949307223,
      0.48890987757241,
      0.370703966607919,
      0.308328984688823,
      0.308164171033972,
      0.316348587962621,
      0.302167951179309,
      0.277172695658278,
      0.261566304938733,
      0.257763541781337,
      0.26026447709799,
      0.2669794719269,
      0.271982018428665,
      0.270240582868372,
      0.267685589785196,
      0.265609810184924,
      0.251346727969117,
      0.233802014028737,
      0.238175952374605,
      0.278227829089229,
      0.344570408609803,
      0.392443259526378,
      0.404473434522852,
      0.411054673068252,
      0.41480732910032,
      0.403220346244116,
      0.37586103066154,
      0.354887044410508,
      0.361145161275113,
      0.397219047973974,
      0.449405426210612,
      0.487915147367283,
      0.485595263359426,
      0.451172217848568,
      0.407502255455485,
      0.37667635489198,
      0.370598965456038,
      0.369369597552016,
      0.359415166767819,
      0.363883553991616,
      0.395629357644611,
      0.445220972814942,
      0.453114034810159,
      0.416412592688933,
      0.415100599042915,
      0.473571126824032,
      0.574081280212911,
      0.633233893181494,
      0.632640764538577,
      0.628620688417149,
      0.631192561132896,
      0.622195052903783,
      0.590956414910508,
      0.546005887196394,
      0.508640622164966,
      0.505298803030942,
      0.555090248493001,
      0.62023023735618,
      0.627797962629159,
      0.570217259049341,
      0.49121043250907,
      0.436815058691258,
      0.433743395491367,
      0.478188452922563,
      0.519704692722569,
      0.516093662132039,
      0.493750965059434,
      0.478118674833028,
      0.466564798574978,
      0.447381300958342,
      0.431183667638996,
      0.445717566706449,
      0.491811633144605,
      0.534078706944691,
      0.54660304888203,
      0.534107116586394,
      0.502103339580457,
      0.472182400204486,
      0.46375108231502,
      0.454125256930311,
      0.424096853380456,
      0.403919349902717,
      0.419615407655741,
      0.46089330206822,
      0.479338745541558,
      0.465294582479645,
      0.459429964503249,
      0.474435958639648,
      0.496968690738812,
      0.501713429139259,
      0.491848959324936,
      0.500849787777923,
      0.521520248368031,
      0.539179323277436,
      0.553417877659721,
      0.575481220796196,
      0.617092592000961,
      0.647025926451678,
      0.636237032088774,
      0.606155569430314,
      0.573908875620034,
      0.543107409268161,
      0.533115196666003,
      0.556106839621864,
      0.58860121187955,
      0.582958578182361,
      0.557558652606003,
      0.550783465726166,
      0.54773719211807,
      0.532698843430739,
      0.49738849668185,
      0.446961197432403,
      0.421060747645724,
      0.446866123155155,
      0.522899669048501,
      0.60505597447685,
      0.648331235282026,
      0.663956602013701,
      0.644084055070159,
      0.591742902461002,
      0.541712412860742,
      0.480850452908405,
      0.42294804098118,
      0.405015729759108,
      0.432237199046908,
      0.478729248737218,
      0.494614409772481,
      0.486490503482106,
      0.48476707101691,
      0.475255262011855,
      0.437952336392777,
      0.371672031312348,
      0.322661397081468,
      0.318130205524223,
      0.337541332586864,
      0.343585121753511,
      0.288702357426454,
      0.289458419922631,
      0.291378920079848,
      0.270287327907924,
      0.214028490815147,
      0.170755885002551,
      0.174713630059293,
      0.21946190231648,
      0.261269992556363,
      0.28194021815327,
      0.300722985554524,
      0.30378177424779,
      0.293683336674606,
      0.279216513009985,
      0.242856050342535,
      0.210346658772018,
      0.21685470451287,
      0.253377563474238,
      0.280037712989663,
      0.259619589079366,
      0.198166630631481,
      0.136114882785404,
      0.108630091548983,
      0.128928164193057,
      0.201026838095096,
      0.313803637961875,
      0.376178469433813,
      0.336685552162783,
      0.249500013972995,
      0.177986542909533,
      0.138244103734757,
      0.123004757594704,
      0.128708191105372,
      0.159237869919316,
      0.218146632571294,
      0.268164134749561,
      0.255994597162496,
      0.202425415655286,
      0.145111440967698,
      0.11322538266239,
      0.114533955784242,
      0.156339417497059,
      0.253793057776534,
      0.383099823687843,
      0.476650197929177,
      0.513916990892132,
      0.477196702764054,
      0.405853898054206,
      0.358516521303013,
      0.31573999871466,
      0.263887007983216,
      0.242268732626076,
      0.282085137576338,
      0.365893057641202,
      0.438124563427285,
      0.484199965441385,
      0.507229563470071,
      0.478781781289164,
      0.437651090722262,
      0.417382639274205,
      0.398585627134776,
      0.385563358166738,
      0.422703152019211,
      0.509239248169374,
      0.551981399051868,
      0.46964915702863,
      0.348226975690686,
      0.282271825462182,
      0.275927472750205,
      0.289587958600067,
      0.29853328423844,
      0.287307891012059,
      0.253978392738048,
      0.225656185138382,
      0.222168289783848,
      0.232310830117997,
      0.22648353787982,
      0.198336496588788,
      0.178309777921863,
      0.17472626551154,
      0.174657584341783,
      0.177414275753443,
      0.19552835138849,
      0.240678937575709,
      0.317364919035991,
      0.391885286915592,
      0.423287463545529,
      0.430511778253173,
      0.424162037572086,
      0.403041819308466,
      0.378557658705639,
      0.371014537545578,
      0.390182253733763,
      0.43084914411462,
      0.478925263727458,
      0.499648702609642,
      0.467926979799226,
      0.414552181394748,
      0.379753868970178,
      0.376516393546566,
      0.383918520442085,
      0.355431174041936,
      0.300817545466801,
      0.287500257573969,
      0.333077525245518,
      0.417820885519179,
      0.451913114532606,
      0.409952455646356,
      0.398976262010515,
      0.449854247194723,
      0.544730661176243,
      0.60934014258687,
      0.624515197270568,
      0.636035187839991,
      0.647962465209209,
      0.6371661822831,
      0.595479797252915,
      0.539447864711157,
      0.496173994417472,
      0.492840653879719,
      0.547384669007315,
      0.617521820188214,
      0.617268680397917,
      0.553262520254236,
      0.484402354484019,
      0.439667562800455,
      0.425767757275881,
      0.445595429089181,
      0.481392031819908,
      0.498960273097941,
      0.493245852592328,
      0.470074975569874,
      0.43259990189999,
      0.387109774002682,
      0.359400890159533,
      0.374330063022223,
      0.422542438222705,
      0.46720084948543,
      0.48422292333367,
      0.481629762354622,
      0.463569945216045,
      0.439711363202259,
      0.428452694225284,
      0.421930648631472,
      0.40570478874652,
      0.397407004049327,
      0.417660463137626,
      0.461251640869218,
      0.476613665744621,
      0.452947999002689,
      0.443200776845201,
      0.464786958828539,
      0.493590406654642,
      0.491770418516223,
      0.484108767157303,
      0.511525910582293,
      0.539539654045906,
      0.543937533909301,
      0.532956449778363,
      0.541248168579618,
      0.593370357341357,
      0.642206539609908,
      0.646007949511973,
      0.614780586610649,
      0.573401754386404,
      0.538863865202247,
      0.529091120919726,
      0.547470033611849,
      0.565077445565499,
      0.541828256067276,
      0.510504947917243,
      0.509888874838356,
      0.519210664950686,
      0.519826631737544,
      0.501641153622655,
      0.460305368114569,
      0.428826881721682,
      0.43680166227515,
      0.484477973665169,
      0.538780581132094,
      0.576248605718507,
      0.609823036285519,
      0.618362857991353,
      0.587187380184458,
      0.543031442660401,
      0.471064626467947,
      0.395371737395938,
      0.368954281215905,
      0.398681933230945,
      0.448746803783466,
      0.457927494945333,
      0.440279777793374,
      0.436185023725041,
      0.42789440208396,
      0.390335841205251,
      0.324846334519722,
      0.280923035073746,
      0.287376427384475,
      0.320692270893691,
      0.334723346631745,
      0.361805833579101,
      0.355405126051403,
      0.344322439285609,
      0.311153284407693,
      0.247682463315747,
      0.203680080108505,
      0.211403017612258,
      0.255358072478878,
      0.282976944726435,
      0.286341477713844,
      0.304757596944893,
      0.321467068973775,
      0.321193572718029,
      0.310376094294416,
      0.27046817842655,
      0.227798811861209,
      0.224555710125979,
      0.256733226421217,
      0.282753037299541,
      0.260585959487355,
      0.200567849312898,
      0.146514920076184,
      0.127705002041347,
      0.153826691930593,
      0.226477692890547,
      0.332637465176018,
      0.389763452489968,
      0.348070616721879,
      0.256674080119353,
      0.182761597502151,
      0.143994131567058,
      0.132955838924592,
      0.146220982827207,
      0.185373405365432,
      0.245529800204509,
      0.283629379568929,
      0.259695520153669,
      0.203335188428565,
      0.146622088220114,
      0.113695157955602,
      0.112088952898431,
      0.150222630155058,
      0.243564539456911,
      0.367723072755073,
      0.455313070576302,
      0.4936705394623,
      0.475166576031227,
      0.424557695507844,
      0.387659086748855,
      0.346560040774233,
      0.290342106091076,
      0.2594168378656,
      0.284465425803734,
      0.35017325962205,
      0.413406652783322,
      0.473607374503083,
      0.523579300391297,
      0.508056657643693,
      0.461633974003055,
      0.434574424119794,
      0.414716789759989,
      0.398180137292761,
      0.42540765458352,
      0.49990043917276,
      0.538794177856104,
      0.469211128449331,
      0.36305642614191,
      0.294021880034262,
      0.270140078608122,
      0.280458950650999,
      0.307773789966683,
      0.313766967205528,
      0.275710322845031,
      0.227922805289184,
      0.207718018744265,
      0.210152535031905,
      0.209086300187284,
      0.191721729265395,
      0.17460420012014,
      0.169967620970102,
      0.17633846883389,
      0.188053620257163,
      0.205572181266481,
      0.235593533056372,
      0.289392086725688,
      0.351508412395373,
      0.385235636135387,
      0.400201877142174,
      0.41101104566054,
      0.416681435700757,
      0.413136062957273,
      0.413372809288554,
      0.431155842021342,
      0.464249562652926,
      0.503426483046199,
      0.517478714350123,
      0.476920473211972,
      0.412217728271912,
      0.370012841952911,
      0.366241125008886,
      0.372308793863361,
      0.336858928275078,
      0.273926590152844,
      0.255052972247941,
      0.300186501170391,
      0.395423291322412,
      0.454270093607761,
      0.427474423687987,
      0.41581035815847,
      0.460252284410436,
      0.551870661481431,
      0.623727867479191,
      0.650535052749802,
      0.665991193240151,
      0.669134814194568,
      0.642428911360569,
      0.591898191702308,
      0.540485181575941,
      0.507387336296485,
      0.507873045755974,
      0.552888340211668,
      0.608438266129896,
      0.600137022820941,
      0.538653529841423,
      0.480956660231849,
      0.450055363236799,
      0.443092320334964,
      0.456795830480435,
      0.484709626853055,
      0.503318860874243,
      0.493683494373088,
      0.455757420653657,
      0.408097915015127,
      0.369804578606964,
      0.35716582155738,
      0.375779928898135,
      0.41495412204351,
      0.452980335025576,
      0.475204629501446,
      0.479500951763313,
      0.462409240714083,
      0.437838101741219,
      0.428486754201814,
      0.426676454551109,
      0.414685851102514,
      0.409910808782384,
      0.434024409944353,
      0.476945134642983,
      0.48359598668706,
      0.453646062885963,
      0.441387364548765,
      0.460701434261819,
      0.49325333031416,
      0.505756667046308,
      0.502027753747636,
      0.513157067634094,
      0.527768256464729,
      0.533304519898088,
      0.536877308606556,
      0.559739943854408,
      0.609560230236422,
      0.650267042641847,
      0.651161522164812,
      0.620721925054303,
      0.577860605627648,
      0.538635547122205,
      0.521005451327785,
      0.530895546037556,
      0.550659211483594,
      0.543748811434565,
      0.523633676265358,
      0.523648656750906,
      0.537993782114488,
      0.553202817248539,
      0.54041491203985,
      0.485485095741285,
      0.437167241200563,
      0.436914792774502,
      0.485647892684353,
      0.543751452518964,
      0.582114194766688,
      0.615328293422134,
      0.626085375013502,
      0.600868224790762,
      0.561873333115603,
      0.488474381158254,
      0.404966121551361,
      0.371370508776096,
      0.398574819561222,
      0.452011187527491,
      0.466063725192908,
      0.446629715600708,
      0.434087185643149,
      0.417940711976648,
      0.381959937927669,
      0.326152500919859,
      0.289959930000686,
      0.300047950257933,
      0.337016556269295,
      0.355852484128314,
      0.443363583097285,
      0.43140406365079,
      0.406668786254897,
      0.360490720264669,
      0.294164320358907,
      0.254402184088082,
      0.263442223095907,
      0.300885989783179,
      0.322881464034105,
      0.335960461301679,
      0.37653097111044,
      0.408856331158354,
      0.405607707958633,
      0.389870265501699,
      0.357135916971077,
      0.320486045949457,
      0.309045091513095,
      0.323079000854895,
      0.337150263067707,
      0.32326972160589,
      0.291440098657135,
      0.269016813323212,
      0.273146686676778,
      0.311753359773616,
      0.375328344748709,
      0.429518859616754,
      0.422094569513492,
      0.367112403304282,
      0.296333127229469,
      0.242269954838109,
      0.215187349298208,
      0.211073589564069,
      0.229405500450592,
      0.268681473943939,
      0.319853325077027,
      0.346176911046848,
      0.32144797456548,
      0.271862119145142,
      0.217751420808371,
      0.183350828741574,
      0.179468134895811,
      0.215539728945283,
      0.304665649818376,
      0.422007343931562,
      0.503902881596247,
      0.535443094089651,
      0.521828857566554,
      0.493143285628741,
      0.472269689529254,
      0.43087505592194,
      0.371269693141041,
      0.343986330816087,
      0.375610930649239,
      0.444096957593075,
      0.502706270942786,
      0.550724858938117,
      0.5853962441961,
      0.561000175990703,
      0.512051869698238,
      0.486939171345532,
      0.478156073851301,
      0.475145886161624,
      0.498180430394296,
      0.547746036014271,
      0.570954797937531,
      0.518371235126319,
      0.432754849408354,
      0.362921801917321,
      0.319719506794803,
      0.301826343945536,
      0.301168080911728,
      0.297260211133147,
      0.28019333874725,
      0.262043882680658,
      0.257041333832177,
      0.265779411211351,
      0.27856550676943,
      0.279435759430441,
      0.265984191200466,
      0.256236683914342,
      0.260215223405264,
      0.268771690850458,
      0.276912492805487,
      0.289925682386891,
      0.318769457568871,
      0.356703154367126,
      0.383564930614385,
      0.407460615385058,
      0.436605421179292,
      0.463385376265766,
      0.476466941366271,
      0.483924884445575,
      0.493572490334861,
      0.502288319063521,
      0.509563758238462,
      0.514649816421618,
      0.503603269428485,
      0.468123924935404,
      0.420348820619119,
      0.382944265223221,
      0.362926338928059,
      0.342903684476325,
      0.317660083247459,
      0.313215920602492,
      0.346294832695655,
      0.420246814609889,
      0.482797846122765,
      0.482273726502874,
      0.485094106679719,
      0.532117715445507,
      0.619002837952473,
      0.67758110492889,
      0.684593439967573,
      0.682162226266789,
      0.674029822754632,
      0.64625990724778,
      0.604666399750145,
      0.566821117550221,
      0.543802252146998,
      0.546492090285687,
      0.586185321579882,
      0.631452418166265,
      0.618232260844226,
      0.553217994605689,
      0.489052707730685,
      0.460663425215022,
      0.472580710277429,
      0.510402669578139,
      0.543043603544159,
      0.542558732534005,
      0.515895859397272,
      0.481309808667505,
      0.45757363086067,
      0.453992091642607,
      0.466464300271206,
      0.488189731539131,
      0.515277019675447,
      0.53937106911855,
      0.550722514457047,
      0.54199586852738,
      0.515480378941703,
      0.489756824562926,
      0.484423845146247,
      0.485761219458934,
      0.47055899330458,
      0.460540220495403,
      0.485497948653743,
      0.532761428028669,
      0.536361707853634,
      0.500240925733745,
      0.483271143559294,
      0.495217904068478,
      0.525217935117898,
      0.548710845611403,
      0.536114352405083,
      0.510212032010592,
      0.502060133875545,
      0.514892404702951,
      0.548766304674111,
      0.600786121403099,
      0.652478468265137,
      0.680995525951173,
      0.674605631286472,
      0.646845838706553,
      0.60762316049643,
      0.568389195253399,
      0.54970422866209,
      0.559009597522908,
      0.582126954442002,
      0.590329054525325,
      0.583904703454834,
      0.580079612081226,
      0.58490608170472,
      0.600609624194619,
      0.584144047635507,
      0.510435856794118,
      0.450269354472201,
      0.456148304480633,
      0.5199021232684,
      0.585586648042729,
      0.617550387989083,
      0.634347258172853,
      0.624703005215815,
      0.592779987179942,
      0.571146997401181,
      0.529475546012806,
      0.466930605732753,
      0.434851094154316,
      0.453851049061199,
      0.505838253591632,
      0.533345636072289,
      0.522203503554136,
      0.503504111316305,
      0.483312591211484,
      0.462739120563197,
      0.433038696948269,
      0.410520557619643,
      0.412518070628238,
      0.424760290442989,
      0.416118878115911,
      0.452566535320395,
      0.489229199588549,
      0.487942250244318,
      0.441896711724713,
      0.381988635200392,
      0.360105097829257,
      0.372221243897498,
      0.384849554777185,
      0.379417047691556,
      0.400493719034116,
      0.484451667600414,
      0.569196119671193,
      0.583679571894497,
      0.549009635801005,
      0.510273912002332,
      0.498945900913206,
      0.50737540389931,
      0.51371135903647,
      0.512471395702475,
      0.525986834687847,
      0.578914769370327,
      0.641472869482413,
      0.690186645999147,
      0.730605539872813,
      0.747386777200342,
      0.694801753599683,
      0.585280749412312,
      0.534604537949319,
      0.543684236700986,
      0.555761562536326,
      0.554323343015854,
      0.540393686718725,
      0.522862890440061,
      0.511467015446074,
      0.513568506522485,
      0.524759696440836,
      0.529440156984082,
      0.524215423218137,
      0.512219789091412,
      0.50100205957298,
      0.494584970231889,
      0.496586137549959,
      0.517056236634326,
      0.569243203280738,
      0.633170459676002,
      0.66199406256251,
      0.647685657855263,
      0.627795775351476,
      0.612376504758907,
      0.589600758423079,
      0.573643760283451,
      0.58508038760348,
      0.616186214188857,
      0.647846353048311,
      0.673898813189207,
      0.695421339015628,
      0.686182352417417,
      0.634188793766979,
      0.592471214483632,
      0.586110824544583,
      0.591016275677534,
      0.593849986393722,
      0.61388806123411,
      0.651613598596507,
      0.67215374706665,
      0.64770338008346,
      0.602182614734947,
      0.54465572808304,
      0.475199854736577,
      0.428234456348106,
      0.428918407857682,
      0.4606691692248,
      0.486191049744262,
      0.47973562702308,
      0.454947942576312,
      0.43965957396349,
      0.457836195644508,
      0.496792668752913,
      0.521210778421114,
      0.534504665282236,
      0.54415402175694,
      0.54537559560274,
      0.543304838695109,
      0.544552874847898,
      0.543417726876696,
      0.525927564775056,
      0.517948659693571,
      0.542564762936817,
      0.586624430195851,
      0.624217694322204,
      0.649003376130973,
      0.666510715471017,
      0.665963325435722,
      0.645138543613042,
      0.616318483996008,
      0.606978370292589,
      0.624309273743129,
      0.63197807667135,
      0.605510615012861,
      0.55961673757262,
      0.526817767574352,
      0.530695464915844,
      0.556212507434821,
      0.57512400622555,
      0.590094203262345,
      0.615331585460792,
      0.646343126613252,
      0.65413866082629,
      0.653475616895816,
      0.669350557799111,
      0.707556732890685,
      0.729296278014074,
      0.716473393041775,
      0.707810426434247,
      0.715993413727226,
      0.716955680877778,
      0.687124673952115,
      0.641854740856993,
      0.615645535244603,
      0.627204085281527,
      0.674022387970698,
      0.714163822179305,
      0.696203287948778,
      0.628945395622649,
      0.568812998574419,
      0.554819078514484,
      0.582302655562943,
      0.626992092470987,
      0.65505759475191,
      0.649496349226281,
      0.634813524355533,
      0.630569720320195,
      0.637618477648066,
      0.645279640307346,
      0.652195423757805,
      0.670065131399928,
      0.699068483429648,
      0.723963054254375,
      0.724951491120262,
      0.703088411252708,
      0.674483014076375,
      0.652081293204053,
      0.638404861897913,
      0.624855228220183,
      0.610352217019619,
      0.612559179739991,
      0.642769115475844,
      0.677901198822648,
      0.674086880990716,
      0.644505876602764,
      0.627585714489485,
      0.633342138312955,
      0.664383580728377,
      0.692038355538419,
      0.648044471282944,
      0.57327846644672,
      0.547399043820968,
      0.576353778724571,
      0.643729402953387,
      0.720065253414377,
      0.766354120644689,
      0.769874026233098,
      0.735485505415856,
      0.700258147677632,
      0.683787502997761,
      0.67574249614876,
      0.675088361444852,
      0.688334481428366,
      0.712405810964774,
      0.733385809266308,
      0.740053884667542,
      0.731127277894206,
      0.714699038528186,
      0.706820115485424,
      0.689635403004741,
      0.642482845271229,
      0.607539813104036,
      0.61911949631894,
      0.666126004899868,
      0.702772725376246,
      0.709594806414095,
      0.708269648661196,
      0.68706803802107,
      0.651758110555045,
      0.644373230508793,
      0.650546870237258,
      0.63619868724715,
      0.620382183795334,
      0.62943893692902,
      0.669358413046815,
      0.707390786622,
      0.714234023305492,
      0.698938051862247,
      0.676608525514301,
      0.674001262662883,
      0.686308353648567,
      0.689006404523332,
      0.674953926934672,
      0.6457961192234,
      0.603944534074423,
      0.406697693793524,
      0.504400885991332,
      0.551002936985872,
      0.54929201514114,
      0.537730061071857,
      0.542925833647141,
      0.54637368677166,
      0.525839930677218,
      0.498279582585443,
      0.512263191481972,
      0.578526386226522,
      0.650098645263285,
      0.660647863234051,
      0.616508107871769,
      0.582258272959197,
      0.601824550894084,
      0.643850696592567,
      0.670885667759334,
      0.691444672161965,
      0.74290419225772,
      0.822298772695468,
      0.88269724714306,
      0.903979465193665,
      0.893313475492416,
      0.850439274416847,
      0.776798281158467,
      0.703192100914182,
      0.668363431993595,
      0.653555271631652,
      0.649951812226854,
      0.670100133111463,
      0.708984391024637,
      0.738731494011185,
      0.735378067825415,
      0.720829634932441,
      0.7380074789548,
      0.768042660060778,
      0.790272838803985,
      0.82031369765688,
      0.84563088371647,
      0.847710003112268,
      0.818311872980108,
      0.764327768654261,
      0.729125475405435,
      0.739252049250905,
      0.758858016156711,
      0.775839527672747,
      0.789454876340663,
      0.800308799285253,
      0.819243157783555,
      0.84268199003769,
      0.851156510221066,
      0.827502938834519,
      0.785502873988653,
      0.773447006187736,
      0.784506762613916,
      0.761076723852679,
      0.72538935482084,
      0.730419856065342,
      0.765421915774089,
      0.792386821308438,
      0.793979543102238,
      0.791232369457697,
      0.796947008120067,
      0.793545072172621,
      0.757098616489767,
      0.715507568593044,
      0.685011694759668,
      0.666111487857353,
      0.680818850561132,
      0.725306910151395,
      0.769463898601807,
      0.778348164835216,
      0.74689802126669,
      0.696625341173414,
      0.650829634989504,
      0.654145123887759,
      0.726595834658443,
      0.803290179448315,
      0.843027138369495,
      0.849403632528912,
      0.84086334770659,
      0.833764973397464,
      0.826758101241899,
      0.792574691733576,
      0.701105949639628,
      0.620850581033679,
      0.610058419983726,
      0.661792988530067,
      0.741650801055546,
      0.800017772557093,
      0.807953579925177,
      0.776896233184669,
      0.735712590879638,
      0.699422213833215,
      0.69287758121738,
      0.730967285401836,
      0.77796082218393,
      0.796502910495237,
      0.784374441884051,
      0.763213803560422,
      0.746696615658988,
      0.738614037925909,
      0.739123551723205,
      0.747564348166289,
      0.763262685015161,
      0.769439840824591,
      0.755993565906911,
      0.740413643401365,
      0.732248780808881,
      0.742828610006154,
      0.755536785130093,
      0.743587688834465,
      0.734725957646445,
      0.754811336349489,
      0.776977411573919,
      0.752533584223568,
      0.700848821667973,
      0.683833776149543,
      0.715394061901215,
      0.760277817752117,
      0.782770377246283,
      0.772614006628256,
      0.720886016580344,
      0.658603630804161,
      0.637878014618425,
      0.667240333548529,
      0.719978127164877,
      0.754175495755016,
      0.762438931623241,
      0.774874239079284,
      0.80339621088285,
      0.837847048597106,
      0.850295787097336,
      0.834602894877008,
      0.819593615016108,
      0.825079648768189,
      0.840767832082612,
      0.840330228450505,
      0.821625183443419,
      0.803333785208118,
      0.800389111705992,
      0.801815378332128,
      0.784155895853699,
      0.754135405055268,
      0.741607579980664,
      0.76291001608749,
      0.800534079185462,
      0.799057881357638,
      0.761387747577354,
      0.743302431083118,
      0.769243625157794,
      0.827024044093967,
      0.84897540116389,
      0.764512365482595,
      0.655241399891397,
      0.620920781081952,
      0.662445455474354,
      0.754458570498306,
      0.843487545163459,
      0.870872031484837,
      0.848435488613089,
      0.804022599040243,
      0.779879032706239,
      0.791584357862108,
      0.814753367039016,
      0.831973209620587,
      0.842530707143998,
      0.843427875740907,
      0.833540277663181,
      0.823675947780364,
      0.819350233427624,
      0.822140239351645,
      0.831024740726257,
      0.836271891695155,
      0.830427438123525,
      0.824435341599944,
      0.822358945802015,
      0.810013439527688,
      0.782169471333276,
      0.770143339389289,
      0.785937811838194,
      0.79371119333285,
      0.773467883177491,
      0.760057746789003,
      0.76578500522676,
      0.771557142499294,
      0.775242545355157,
      0.786457379858314,
      0.811959518141379,
      0.839999021236889,
      0.853581676654254,
      0.852276943814038,
      0.843099015536886,
      0.834671834337901,
      0.817340128070469,
      0.796073584632315,
      0.784466790603935,
      0.781654775442118,
      0.776956363718031,
      0.384969193980201,
      0.472092736571758,
      0.533897482713435,
      0.557028051883921,
      0.548082963830947,
      0.536694313595712,
      0.530967868571352,
      0.523226295759608,
      0.514949010740554,
      0.516976223256138,
      0.529903336136111,
      0.546385420583595,
      0.554384357945206,
      0.544729329846085,
      0.515135961890693,
      0.492031890329883,
      0.50052810911386,
      0.54216719986453,
      0.601434669268556,
      0.621198650898088,
      0.564710756320171,
      0.493672866285004,
      0.460047344969559,
      0.462051712519461,
      0.484701152115027,
      0.522941187457928,
      0.547129898877601,
      0.50714449818049,
      0.421705034983711,
      0.360785785343232,
      0.353898887227404,
      0.394797145263432,
      0.453450858141355,
      0.492038820121305,
      0.503941704408092,
      0.517463004265187,
      0.543225849961069,
      0.547800239616548,
      0.517142180002877,
      0.489771865137406,
      0.489902253680215,
      0.519153415840112,
      0.569777080285011,
      0.614349872620683,
      0.639469666594191,
      0.666030960848521,
      0.692261064177522,
      0.699245909817992,
      0.679896495057955,
      0.64370827075752,
      0.618997713441845,
      0.623339855625888,
      0.642409745168711,
      0.65966897055654,
      0.680377975655448,
      0.70519926065434,
      0.708668480078514,
      0.690154363936815,
      0.689196554838735,
      0.708163933967522,
      0.7240999194295,
      0.732604615788887,
      0.747639516218507,
      0.76636337706693,
      0.752156352347149,
      0.67736323730835,
      0.600093032016508,
      0.57043304505318,
      0.565551284657773,
      0.54453598225949,
      0.515566779214003,
      0.512859689201438,
      0.53410308787161,
      0.534356054970713,
      0.504379268020272,
      0.474038049473204,
      0.484110821892579,
      0.539525659864843,
      0.587305172519635,
      0.614108104221699,
      0.62556397732449,
      0.624582690618314,
      0.620582838616897,
      0.616890205508444,
      0.603931961965656,
      0.558294747810143,
      0.502368455200809,
      0.487468776647467,
      0.531359984516096,
      0.61474107574321,
      0.671564641216928,
      0.665182389657916,
      0.631467771741562,
      0.613870715495351,
      0.619675350498105,
      0.62936903516753,
      0.625985429841673,
      0.623327906579046,
      0.630945204314217,
      0.639394511574689,
      0.636859153482399,
      0.613017528835051,
      0.58220071312295,
      0.568595392400492,
      0.574550816125833,
      0.595993725160071,
      0.606385487872126,
      0.593186988078301,
      0.591404011157755,
      0.622438920702097,
      0.695014211337728,
      0.750933411098835,
      0.748694017495263,
      0.732567972349722,
      0.727456386209574,
      0.718726202442758,
      0.684959687278345,
      0.638824599178765,
      0.612286687372428,
      0.625036465229365,
      0.6717148637888,
      0.719388621233867,
      0.732219542053011,
      0.690042443061616,
      0.620547916621574,
      0.579386471025539,
      0.590658443487222,
      0.630746547054063,
      0.652673277890109,
      0.666160049211831,
      0.700851895784301,
      0.735105279047587,
      0.74831267036849,
      0.736220260599565,
      0.713771536115472,
      0.702905987512511,
      0.710065302392165,
      0.722089847015983,
      0.729063553806217,
      0.730870764629928,
      0.72750520609939,
      0.722288878538411,
      0.700912350227927,
      0.644738879847279,
      0.585661280299868,
      0.571968178861244,
      0.609605687671264,
      0.658937974051542,
      0.660343916264754,
      0.639465034277147,
      0.641561552844764,
      0.666644680264163,
      0.70109109544533,
      0.720050043751573,
      0.691639920036344,
      0.639473954992988,
      0.612738379550669,
      0.621988826694696,
      0.665659679679489,
      0.728761348275919,
      0.775352446537776,
      0.795613434780607,
      0.792439976532478,
      0.773021611074127,
      0.745946030719462,
      0.726658650469865,
      0.723044873957432,
      0.726701561712488,
      0.719327596626854,
      0.695278194138765,
      0.684434493740522,
      0.701731134464515,
      0.727761084907136,
      0.73501793241382,
      0.711365682059143,
      0.675055106189604,
      0.659598580338932,
      0.668397580168836,
      0.681637730320619,
      0.681733962366181,
      0.686393814371053,
      0.718320299911187,
      0.748145219910401,
      0.741054739125859,
      0.716005188344414,
      0.690613160586317,
      0.67708956438466,
      0.679690101491116,
      0.693272616663143,
      0.706741012681355,
      0.702545891097324,
      0.689855541288042,
      0.691004481133549,
      0.706301831741938,
      0.70911506253691,
      0.676489784602875,
      0.647376928649391,
      0.649068200224582,
      0.659559293167107,
      0.648189309513348,
      0.349597739775494,
      0.404269201430357,
      0.455173678638423,
      0.457507331961625,
      0.393660122224032,
      0.337209619204927,
      0.329982971308702,
      0.358656342894154,
      0.38454480110164,
      0.397807963801767,
      0.411821378091238,
      0.411928320877412,
      0.409007868954956,
      0.413444885161515,
      0.391725803073817,
      0.346077822104662,
      0.326259129706019,
      0.356555469155849,
      0.406840491396296,
      0.397531814492346,
      0.305592524550327,
      0.213220968092096,
      0.176833889599775,
      0.197158278530539,
      0.265822138723179,
      0.369603277822393,
      0.432577304423648,
      0.394880552609045,
      0.30011371116829,
      0.222213341050306,
      0.184828684146444,
      0.183733288341939,
      0.212788295479481,
      0.264474076345267,
      0.327925321928561,
      0.367269061788816,
      0.350403097177499,
      0.292320294478234,
      0.221369837385276,
      0.182750618465907,
      0.190381264227655,
      0.247151501728728,
      0.353651039336168,
      0.469336934017477,
      0.539173945292958,
      0.568698257566979,
      0.557498081048665,
      0.526814129692931,
      0.497705955053941,
      0.446751197866065,
      0.385493720598816,
      0.366237608077298,
      0.407550592959413,
      0.479669243108437,
      0.536609989493269,
      0.578463248927254,
      0.608601309280774,
      0.595368600132521,
      0.568223852274298,
      0.554516441926058,
      0.540210842536728,
      0.53472731220867,
      0.565332083729317,
      0.616435405274227,
      0.619687921835696,
      0.538901923140189,
      0.448461727522374,
      0.403504091823683,
      0.387913011980429,
      0.367458653491839,
      0.340839200924388,
      0.318318326162384,
      0.306104853864799,
      0.300615326923808,
      0.29790792318419,
      0.296939073167124,
      0.292323806373298,
      0.281798291147365,
      0.269739342742677,
      0.266804431240834,
      0.271931735154638,
      0.275647146496872,
      0.28082162686407,
      0.295451712838706,
      0.329087002998464,
      0.370880834968751,
      0.39326581882528,
      0.407910965972279,
      0.430196548706057,
      0.458547083602345,
      0.466078475294248,
      0.449415022243361,
      0.442800967031244,
      0.470539445957262,
      0.523916895961363,
      0.547212391680489,
      0.504736338563702,
      0.451217173187173,
      0.42656542275086,
      0.423736084066883,
      0.421278941688423,
      0.397077520293545,
      0.361050027483481,
      0.34991001294681,
      0.378751079271988,
      0.446580452207111,
      0.497271833310127,
      0.486509810438496,
      0.486183795034046,
      0.540816837583998,
      0.649501421703033,
      0.720792243227154,
      0.714162534849129,
      0.690993601170545,
      0.672040284675095,
      0.645743284755084,
      0.60812577702045,
      0.56809920014761,
      0.54155755020683,
      0.549485094304545,
      0.597442678602101,
      0.645544201700323,
      0.64689494111053,
      0.598288827119576,
      0.526679248000951,
      0.475288236142758,
      0.470327760716537,
      0.500195418990629,
      0.524365865406314,
      0.530577235135879,
      0.532641900957092,
      0.525709695895604,
      0.510112175890348,
      0.488557579829305,
      0.472615698091275,
      0.478151150548097,
      0.504001409520624,
      0.531738328780217,
      0.553256659843259,
      0.565095898869684,
      0.558999083630233,
      0.543323416673643,
      0.525496314134747,
      0.488869514940228,
      0.4390057411749,
      0.416512627717144,
      0.440604587690534,
      0.490212922827274,
      0.508643880193296,
      0.497418272817882,
      0.49694236377873,
      0.512129330826563,
      0.537117568059532,
      0.561709728215845,
      0.572436400251326,
      0.569352899607366,
      0.561919121872887,
      0.557882120592441,
      0.566732338410321,
      0.601400655536802,
      0.653029495916583,
      0.688371992785621,
      0.695556908723849,
      0.683340470602949,
      0.645934096228434,
      0.594549332786494,
      0.564901477597201,
      0.576057059327844,
      0.607501096866045,
      0.606767838302537,
      0.583036261407591,
      0.581476150404426,
      0.597628634325612,
      0.601413656152814,
      0.558710561940517,
      0.483637417334165,
      0.44329700801511,
      0.46463821493716,
      0.524847609456113,
      0.570917553261582,
      0.591443506128502,
      0.621506250858669,
      0.6353050820614,
      0.606741042259233,
      0.569679714942523,
      0.52172158588767,
      0.47046266392407,
      0.451540774577922,
      0.477123879101316,
      0.527004333625483,
      0.545285758042757,
      0.527142148013233,
      0.516712671606493,
      0.515486085886266,
      0.495661407629297,
      0.442238052725146,
      0.402661475776465,
      0.404926538078362,
      0.420293164323912,
      0.409405952742903,
      0.285021744392519,
      0.319633999844948,
      0.347750827831716,
      0.334017018793919,
      0.270533189449525,
      0.224173062467117,
      0.2297408561937,
      0.270145603379119,
      0.298420789880217,
      0.309171358439788,
      0.328767250080371,
      0.335816477038449,
      0.324304484209192,
      0.303590995078581,
      0.261576128290195,
      0.223797085057863,
      0.228103846649055,
      0.271868478299624,
      0.308587668575026,
      0.283629339091731,
      0.206603341269357,
      0.137792458291568,
      0.111023021041435,
      0.131371874122958,
      0.203775307409824,
      0.321834044821121,
      0.393816376117688,
      0.35412730200214,
      0.259757673564165,
      0.184381516696086,
      0.145473962926653,
      0.13443321881551,
      0.148500300462958,
      0.192283808195699,
      0.264494034356498,
      0.315409048788123,
      0.290374496173119,
      0.221648850584555,
      0.153965544617904,
      0.119026463077677,
      0.121036195344118,
      0.164000837208966,
      0.258265263104544,
      0.379339164247217,
      0.468616803304684,
      0.511717544201948,
      0.490885122619626,
      0.433681941891819,
      0.391931556747802,
      0.346634281208819,
      0.288472473064633,
      0.260421432355593,
      0.291555580887294,
      0.362710678523592,
      0.426920907566788,
      0.483809247574321,
      0.533238863291045,
      0.524157143531261,
      0.485181718530696,
      0.459547462402007,
      0.439073868632474,
      0.429876109491256,
      0.46267205773118,
      0.526354140715999,
      0.543292446574137,
      0.466104602186271,
      0.365965691134143,
      0.295458507714073,
      0.255830911668552,
      0.246272657360218,
      0.261062879655361,
      0.268143632779513,
      0.24643688281655,
      0.220780489069591,
      0.216598274856178,
      0.224958694367828,
      0.215410019887914,
      0.183306079443343,
      0.162035355537361,
      0.161514147596927,
      0.168639256193392,
      0.17557292019445,
      0.18962822749655,
      0.220948499746196,
      0.278773586199409,
      0.344181702848504,
      0.385643341748088,
      0.415318699254666,
      0.436221613193495,
      0.431225480483683,
      0.39544164564669,
      0.36329774145559,
      0.369133082520951,
      0.419245942482748,
      0.494891244375554,
      0.530461594071756,
      0.485755045886209,
      0.421787609010702,
      0.383710608481237,
      0.371257665309149,
      0.365460133461233,
      0.334277905466672,
      0.283833893133975,
      0.268534294558747,
      0.314201676577498,
      0.413695410825082,
      0.478887325482583,
      0.453771788532621,
      0.441968803571335,
      0.491411150256522,
      0.593878043039149,
      0.664102454875944,
      0.670030197452459,
      0.665837361598422,
      0.663345556790223,
      0.642690390062171,
      0.595230112902531,
      0.533305223805457,
      0.484625195177206,
      0.481068924204289,
      0.533740104390327,
      0.594388148866694,
      0.598648498975212,
      0.553084186108696,
      0.493132896887423,
      0.446396077420084,
      0.429173424264541,
      0.445054378914773,
      0.474258214089722,
      0.486288236039869,
      0.476004361521053,
      0.452327337120781,
      0.422888220711942,
      0.386389847683578,
      0.358724384062504,
      0.364385995170176,
      0.398822561815717,
      0.434385688613749,
      0.457883436155327,
      0.472228158901435,
      0.471134587246518,
      0.459559541111558,
      0.45249777162062,
      0.438753385085483,
      0.407503905464097,
      0.386737891869316,
      0.402603807550104,
      0.448395328283323,
      0.467482158043176,
      0.450371660129525,
      0.446944677325975,
      0.46807590428272,
      0.496865480628447,
      0.506098681058997,
      0.492398042107002,
      0.485469825169882,
      0.492394697371527,
      0.506561688551954,
      0.525662798270673,
      0.551143317399279,
      0.590902184519801,
      0.62864138532929,
      0.641410461782887,
      0.636770047891712,
      0.611472943747239,
      0.566201319329514,
      0.533085277131485,
      0.537822062670414,
      0.56736782450222,
      0.568867139064723,
      0.542039262435226,
      0.526657078423153,
      0.523895201621525,
      0.523616464998343,
      0.498333850438911,
      0.438033673311732,
      0.396243034735314,
      0.410177301132449,
      0.468786290179549,
      0.523815760638196,
      0.559439044555135,
      0.600021340289596,
      0.608253010522131,
      0.562403141259162,
      0.513203610748329,
      0.455184057578028,
      0.391991852574341,
      0.368701428154089,
      0.402224352028868,
      0.465410124277754,
      0.488307652139521,
      0.467546889188623,
      0.45037867027173,
      0.433120682487213,
      0.393071263257501,
      0.326124346318433,
      0.278666957986114,
      0.278574015196276,
      0.303488484099415,
      0.312280966449574,
      0.227975478664473,
      0.256068730438174,
      0.274710207365311,
      0.261676034200116,
      0.215556801888514,
      0.187212613102854,
      0.204950963658501,
      0.257677379710985,
      0.30006952943941,
      0.317082452159897,
      0.333274330686282,
      0.332376918630341,
      0.309750248227379,
      0.278328851174618,
      0.231196200044876,
      0.19238044464301,
      0.19306412897426,
      0.227686327455608,
      0.257733383895398,
      0.241078454267775,
      0.18475544744372,
      0.132614373006341,
      0.112778705397831,
      0.13449180001846,
      0.204219581720308,
      0.31267823397817,
      0.372987901256154,
      0.337494818840949,
      0.25791010210269,
      0.19225520064755,
      0.155374856787739,
      0.142641513773465,
      0.154462574102474,
      0.192936337477249,
      0.253883072594594,
      0.296395486080546,
      0.278448429012577,
      0.225506080183722,
      0.166387611006512,
      0.128590780130521,
      0.123014813359995,
      0.157512458791279,
      0.243695513803415,
      0.355996172178832,
      0.437388814990855,
      0.478679058049277,
      0.456876980391321,
      0.394060352183566,
      0.349424911401573,
      0.30894113198717,
      0.257434179695776,
      0.233043609411393,
      0.270181424316684,
      0.355413825718997,
      0.433826143264024,
      0.487322331168191,
      0.507829374268062,
      0.463690258179542,
      0.409212603909245,
      0.387823674262041,
      0.378802875598853,
      0.376628151322296,
      0.418300690249746,
      0.500922562647763,
      0.53838770778029,
      0.463691477791634,
      0.352536997099272,
      0.275776882713198,
      0.238721735496903,
      0.229338090552909,
      0.237711694960799,
      0.238197176111612,
      0.213341164910644,
      0.186612125259541,
      0.185016135546386,
      0.203183046747579,
      0.209725196696456,
      0.187367317187285,
      0.166290909330432,
      0.161457967174409,
      0.160807303783988,
      0.163194873577816,
      0.181984552058085,
      0.228663234627283,
      0.300455218089009,
      0.356160979805392,
      0.37702102826786,
      0.396042254357649,
      0.412640986908879,
      0.403417825977275,
      0.366993028719757,
      0.335396964979898,
      0.338146618801334,
      0.38160153327115,
      0.449425807712625,
      0.490814858042377,
      0.47038104423624,
      0.423483974337459,
      0.381224312950063,
      0.35564843924427,
      0.34575899618015,
      0.321255388176979,
      0.275093544120609,
      0.259794900592388,
      0.307616534249453,
      0.410879528931223,
      0.46892529402351,
      0.42944204405721,
      0.41139265599217,
      0.459430511012041,
      0.558097697779755,
      0.624874304302439,
      0.632654615428637,
      0.635724017249347,
      0.646986359427633,
      0.64649884685923,
      0.614493698632834,
      0.553175918673579,
      0.493950800945936,
      0.478384717622601,
      0.525292862863963,
      0.587636080825834,
      0.593433833126251,
      0.548035468054968,
      0.489603507941197,
      0.443708164280849,
      0.428187506485767,
      0.451893016968444,
      0.489816572402529,
      0.49828492999519,
      0.476379838480461,
      0.443678876091048,
      0.407600818433545,
      0.368200657976131,
      0.344932699375834,
      0.360176879308261,
      0.403913759098786,
      0.442245016356656,
      0.458033985624098,
      0.464606553603934,
      0.461283875408097,
      0.448600088396685,
      0.442065115993245,
      0.433168345841085,
      0.40688976980986,
      0.386698127610163,
      0.399611597175965,
      0.441076341151125,
      0.455508039010718,
      0.432983379444261,
      0.42730529939342,
      0.453119159095592,
      0.487771259943246,
      0.489554524217319,
      0.455345713619743,
      0.43477467486795,
      0.441033998088747,
      0.462152509080851,
      0.492657609518521,
      0.527218872557611,
      0.565731042997553,
      0.598209829472581,
      0.611183590829746,
      0.615359260557397,
      0.601396715653536,
      0.56249589023505,
      0.531814912693515,
      0.53471210916932,
      0.557706021937233,
      0.560189452819959,
      0.544202176521342,
      0.532803511823677,
      0.521023826236002,
      0.513277721049543,
      0.49426302487352,
      0.442249113224517,
      0.398922368249627,
      0.404976108113679,
      0.459398704861392,
      0.521178852719972,
      0.565855950286867,
      0.608700608947472,
      0.619600900752982,
      0.578449728103459,
      0.525261875531685,
      0.451805670207074,
      0.375244688142858,
      0.346872412959922,
      0.379044595091301,
      0.442002604644571,
      0.467948553106502,
      0.454976981762479,
      0.443891036582637,
      0.425582105681552,
      0.38253740302558,
      0.316267663341161,
      0.268140348810896,
      0.262746065192726,
      0.282723347567675,
      0.291954854138699,
      0.228943592638782,
      0.258200257528015,
      0.281877609288242,
      0.280513228012471,
      0.243414108438629,
      0.213963816075982,
      0.225381710263539,
      0.274391531969723,
      0.319517512575987,
      0.339521722346188,
      0.353943636421711,
      0.351786493009876,
      0.334170383634154,
      0.312249861616546,
      0.270887070906968,
      0.228096919393297,
      0.218211835037465,
      0.242514764532933,
      0.276249548412612,
      0.283571598378734,
      0.254843864265598,
      0.218164308435108,
      0.206895607392736,
      0.238416423424044,
      0.309256516278454,
      0.386924428126737,
      0.400555774407133,
      0.354950702043722,
      0.291497985822825,
      0.24112368318382,
      0.214267917646686,
      0.207943679750572,
      0.220650139922911,
      0.247764653406986,
      0.284245355634198,
      0.315190889190753,
      0.317201981074147,
      0.28660084139384,
      0.227669429425622,
      0.177253840293314,
      0.15867415898482,
      0.180900683846149,
      0.257053415138424,
      0.370108726680322,
      0.466347767679186,
      0.518702669264959,
      0.492138405998467,
      0.420184239367814,
      0.373131259572691,
      0.336029952192103,
      0.293784346751559,
      0.282313680887861,
      0.333061092319903,
      0.429101765035181,
      0.508869809026931,
      0.548252062178842,
      0.538273067567673,
      0.465217895057211,
      0.398270477894996,
      0.377699254363107,
      0.381335182897003,
      0.396644061674709,
      0.44547955884141,
      0.520507349361741,
      0.548860941926858,
      0.474533495172576,
      0.365859306809807,
      0.292819891081218,
      0.270868523496585,
      0.27623121676863,
      0.280789270094964,
      0.271524972454309,
      0.252401470492184,
      0.239929480922661,
      0.243137782584358,
      0.257593551481118,
      0.266185577384573,
      0.255494044291396,
      0.24610240516088,
      0.247744754995236,
      0.243540031668003,
      0.232278007634914,
      0.236556584397859,
      0.273913781414146,
      0.3345289738414,
      0.37021665864987,
      0.377987833864674,
      0.393919521509293,
      0.408745590333773,
      0.400990545374465,
      0.37760793621339,
      0.358833499304209,
      0.356969909864083,
      0.380241701574449,
      0.424659673453187,
      0.461845593719692,
      0.46163624119479,
      0.433121620548267,
      0.392272380800359,
      0.355516235911414,
      0.338688921297838,
      0.327081006322187,
      0.302369563409975,
      0.29271520455287,
      0.325441715807833,
      0.402544970850895,
      0.452945707394319,
      0.431386779045932,
      0.42679544255819,
      0.477019795750563,
      0.570721891293448,
      0.630504917939916,
      0.629414557864781,
      0.622186457057415,
      0.623406223919904,
      0.617657108428176,
      0.589757158626072,
      0.54151067436531,
      0.49813326317529,
      0.493655776616013,
      0.544031773660542,
      0.604523226829567,
      0.605269912796994,
      0.551255261643316,
      0.482218808425006,
      0.432887306781627,
      0.427697122220075,
      0.467781861929143,
      0.508874535384849,
      0.50532911539271,
      0.478245077795846,
      0.456634741542325,
      0.439767786293655,
      0.41771381192026,
      0.402036994380958,
      0.417320926090153,
      0.462181266883357,
      0.504800433594514,
      0.523302223340459,
      0.525593386201054,
      0.51221995983606,
      0.488120612673482,
      0.470588976196578,
      0.450954002292733,
      0.417689793299123,
      0.396707189879033,
      0.413129344264739,
      0.457197461143835,
      0.474673995663837,
      0.455457072619038,
      0.44643969221188,
      0.462795526253994,
      0.491474223588532,
      0.497658648729546,
      0.461258875074663,
      0.428205705470218,
      0.43001108849219,
      0.461100850946371,
      0.513453746334842,
      0.566961087870844,
      0.601504024878648,
      0.617179214799939,
      0.614671406879269,
      0.611877842428012,
      0.600848470691039,
      0.568954907089752,
      0.543329615787096,
      0.547979887797303,
      0.573229817297367,
      0.582562974106211,
      0.570240012701556,
      0.555773039760483,
      0.540868905151302,
      0.534865455275537,
      0.517007933924853,
      0.460832854259947,
      0.413493861204032,
      0.42113959823054,
      0.485430405960536,
      0.558233696836041,
      0.598251913575686,
      0.624032214065996,
      0.626226427249642,
      0.591543200269519,
      0.548808534329898,
      0.488848117552645,
      0.424133561678506,
      0.395123883442779,
      0.412467212704978,
      0.455602344793526,
      0.474074108822874,
      0.46910678644392,
      0.469604247249856,
      0.458226939712018,
      0.41848789760825,
      0.356743066815659,
      0.312293254911289,
      0.302705613405738,
      0.310356079785717,
      0.307250254322339,
      0.256963397741953,
      0.300922922683439,
      0.336356265209839,
      0.338906707031054,
      0.306666127988037,
      0.288395211510309,
      0.304878765437066,
      0.336700216969317,
      0.34981425736548,
      0.351537499212947,
      0.362903090768661,
      0.3714635653574,
      0.376423039452268,
      0.373633756113379,
      0.34112471202388,
      0.30549403540881,
      0.302376088872901,
      0.32821565220194,
      0.368447512247532,
      0.410786191765044,
      0.445115501660931,
      0.467511545126388,
      0.497609040716761,
      0.553368175926621,
      0.6119842583238,
      0.606164562062541,
      0.508212879874199,
      0.42498466117964,
      0.378917183112088,
      0.34744504760045,
      0.325521621495007,
      0.31098734683252,
      0.306016353005029,
      0.310876877923213,
      0.326752155121962,
      0.353609859470648,
      0.372039783545926,
      0.359960048405282,
      0.318432880510627,
      0.280719067082138,
      0.26400265603286,
      0.272020444684398,
      0.318759906873823,
      0.409785362541505,
      0.512153877547129,
      0.579038508584041,
      0.564697389048214,
      0.499229463563361,
      0.453940886303042,
      0.423153121443734,
      0.396713298247858,
      0.399108332815156,
      0.443918089267927,
      0.513992856600287,
      0.57306113824919,
      0.604412756704277,
      0.586994823570958,
      0.518813413287207,
      0.468052521711294,
      0.460765804462542,
      0.471655735059894,
      0.489084751741776,
      0.530158778311003,
      0.584336685221243,
      0.596223767613273,
      0.526953371391856,
      0.429611137205552,
      0.35969584814871,
      0.333665799686624,
      0.332354362165244,
      0.33084679782899,
      0.330282811412059,
      0.341357235818087,
      0.353375238476915,
      0.354114466036203,
      0.34736998977266,
      0.342455885253741,
      0.350855627905471,
      0.373483265569143,
      0.3967087721137,
      0.405008392871467,
      0.394687595471093,
      0.383333123729036,
      0.384678926622035,
      0.394820575398289,
      0.393600844109334,
      0.39754743161484,
      0.431266160088803,
      0.470661252273566,
      0.471907282547504,
      0.447902450558165,
      0.444001476983484,
      0.456825030212515,
      0.471337254543975,
      0.482212291431425,
      0.480966728586235,
      0.467869232227814,
      0.456089996369061,
      0.443608561111142,
      0.423399172124513,
      0.405373836329079,
      0.395983405527987,
      0.384584310430844,
      0.376165834949772,
      0.387552477294848,
      0.430968493080077,
      0.478858047923917,
      0.489357394102717,
      0.502766655250846,
      0.551243585919717,
      0.636499616975944,
      0.682554736200511,
      0.652890428135986,
      0.613368492920535,
      0.599193149566994,
      0.600028574362316,
      0.588062082753981,
      0.556553726755959,
      0.530408988754613,
      0.540136701489421,
      0.594987750457462,
      0.646882232020147,
      0.636586496378746,
      0.576349252643198,
      0.503676737784104,
      0.455163390637675,
      0.455727242049802,
      0.504532592420716,
      0.55302130375853,
      0.551819648536003,
      0.523343962293384,
      0.50219395489745,
      0.497305309133592,
      0.494035020845278,
      0.48724585246802,
      0.498596554417326,
      0.538623336539998,
      0.585098823148627,
      0.608195005154723,
      0.608200685114829,
      0.593739034135169,
      0.574194754301463,
      0.565943015597424,
      0.556503567246718,
      0.524831408850778,
      0.490989338073529,
      0.482539945331124,
      0.500122325129708,
      0.507750670896073,
      0.490027335377552,
      0.476481183238246,
      0.480280339826706,
      0.502628466897368,
      0.522653540918014,
      0.499178841578765,
      0.463402762127872,
      0.461881681386688,
      0.49686712721048,
      0.559393023662482,
      0.627121471254086,
      0.672085070389536,
      0.686308663974504,
      0.667906391918568,
      0.645314924402162,
      0.624358665295385,
      0.593735863260134,
      0.57283174131829,
      0.582474574530937,
      0.613758223039745,
      0.628189113906804,
      0.618353910433722,
      0.607661797751075,
      0.5959882941694,
      0.584013206358635,
      0.55656275106158,
      0.506943392075437,
      0.478331049133619,
      0.500992213057691,
      0.567544597827013,
      0.630552084104794,
      0.657108214431709,
      0.670319575636736,
      0.663824936024985,
      0.628919921950568,
      0.594320680394011,
      0.550211993674939,
      0.497961602661558,
      0.470979226511059,
      0.48598810779086,
      0.534814838880754,
      0.568979543751425,
      0.570069487727599,
      0.561614157815981,
      0.53992011669531,
      0.507985009325481,
      0.473205178023347,
      0.448332569324931,
      0.437396287639818,
      0.435147903480283,
      0.431208696759206,
      0.297311474004842,
      0.352966821958809,
      0.387302952668667,
      0.369530099036482,
      0.313211398301371,
      0.288439582858203,
      0.310316197810769,
      0.348675637464954,
      0.372719277555931,
      0.39251361888673,
      0.421024500062782,
      0.439374157564971,
      0.446717691831548,
      0.43291632187531,
      0.386643607732397,
      0.363393516525355,
      0.387393884351425,
      0.424705786839086,
      0.446643966540122,
      0.47768503395775,
      0.567125168959716,
      0.68562480879572,
      0.785740241204483,
      0.85132274523832,
      0.857074678336881,
      0.768797828501338,
      0.618702567801897,
      0.514703521618364,
      0.443039975463515,
      0.390540728670711,
      0.361852538450665,
      0.349306365326709,
      0.345398884298601,
      0.349666769873914,
      0.373507853217245,
      0.414280092888694,
      0.436260752412438,
      0.416445734764657,
      0.376493868951987,
      0.355580813663962,
      0.360801976752063,
      0.388624982422625,
      0.4408296639205,
      0.508246705121032,
      0.575700487980318,
      0.635733953567029,
      0.647630843111268,
      0.603824799383827,
      0.560420960581271,
      0.52705520885156,
      0.499713840724057,
      0.496858790996779,
      0.522295526758959,
      0.562575081572292,
      0.605274572988036,
      0.639609316345606,
      0.635103947339473,
      0.58771380955481,
      0.553504838701123,
      0.548188514493707,
      0.545109923566984,
      0.544746554778315,
      0.573523869583122,
      0.620273247927499,
      0.641136930367811,
      0.607562825063718,
      0.546293265186337,
      0.485939644442943,
      0.439847489254008,
      0.408486197749823,
      0.385767380177769,
      0.378272663023503,
      0.40089158897782,
      0.428172890120312,
      0.432435887821814,
      0.422347575971123,
      0.425877572761927,
      0.457446210494456,
      0.482635324966099,
      0.483476474324788,
      0.476719505023457,
      0.46811640402491,
      0.455396537749704,
      0.437655295353874,
      0.425302481351073,
      0.439610810387161,
      0.482318123102257,
      0.537694147791107,
      0.579947389133122,
      0.572744559237162,
      0.541804138082237,
      0.537735881183431,
      0.545255807811715,
      0.540036022805021,
      0.518345888583962,
      0.491763761493423,
      0.492479713951449,
      0.528966284505611,
      0.56317594200843,
      0.557984204246838,
      0.522235432517754,
      0.48919010875867,
      0.466162050113974,
      0.448145580403431,
      0.445173555550307,
      0.476971992873967,
      0.549892086298935,
      0.605127230682048,
      0.635623276123295,
      0.66921725577011,
      0.72077129367722,
      0.740819417414071,
      0.69709827386016,
      0.651401312490667,
      0.649584057700469,
      0.675561897157734,
      0.67615471509682,
      0.642151638549246,
      0.616175006393113,
      0.627971971992334,
      0.671414686925445,
      0.706267993823113,
      0.698760191715157,
      0.64531535759315,
      0.566745101058619,
      0.510063755399496,
      0.506307103327221,
      0.554441504635654,
      0.61002756801564,
      0.626420092641476,
      0.611641074102595,
      0.58992966491301,
      0.583321895888558,
      0.586328396883504,
      0.581853282140789,
      0.58070947910917,
      0.601223309734896,
      0.63858981358361,
      0.668390856695105,
      0.689513206696422,
      0.704388483709798,
      0.700768573359766,
      0.678064521599921,
      0.647038366715466,
      0.611836398341818,
      0.579608040647937,
      0.560471406014701,
      0.554292011513889,
      0.5375629477164,
      0.504188694636489,
      0.486954930946739,
      0.504164196971633,
      0.548300831481747,
      0.580764043994525,
      0.560096855421268,
      0.521152945532622,
      0.505413891507503,
      0.516166295801199,
      0.56250214067389,
      0.654423316044978,
      0.74599885886639,
      0.779578878252218,
      0.755750118949578,
      0.724099542377847,
      0.698178089025369,
      0.665390710239554,
      0.64333475693591,
      0.650909737195408,
      0.676859251295991,
      0.687950122569929,
      0.690135094582803,
      0.704095362032987,
      0.709615142257633,
      0.694256370345833,
      0.663701435037312,
      0.634839139541436,
      0.631855627401657,
      0.664852062313467,
      0.722815736129109,
      0.76433542787512,
      0.77083456408383,
      0.766167085498121,
      0.740892041192571,
      0.690294116080262,
      0.647866962630107,
      0.61118044605289,
      0.570658727200402,
      0.553858459852211,
      0.587136953570144,
      0.673111908070889,
      0.749700413684093,
      0.755756694897098,
      0.714229642416909,
      0.661070982487982,
      0.632781926478573,
      0.623153917852721,
      0.603988295068369,
      0.58224808619671,
      0.585348011551675,
      0.620726220803762,
      0.303209865905521,
      0.352843533394039,
      0.386379371306585,
      0.378553539910271,
      0.336274672321296,
      0.313692631894432,
      0.322952565121379,
      0.350896500900794,
      0.38850304631146,
      0.432259318818319,
      0.464924644526301,
      0.462755366482593,
      0.446344096434442,
      0.4232485937684,
      0.384381409391317,
      0.373378346900459,
      0.406106349401164,
      0.448794594284363,
      0.462434278937643,
      0.453658957764693,
      0.475595188618709,
      0.52812462017428,
      0.573610029618233,
      0.592913525588944,
      0.582497346297007,
      0.568740703834342,
      0.568460581507268,
      0.527018638640011,
      0.429413770062223,
      0.35363378548817,
      0.329026090918338,
      0.335055320081215,
      0.347755546964028,
      0.361663701102476,
      0.389480092377115,
      0.422755710429637,
      0.439095450785151,
      0.432773365211615,
      0.402052817016159,
      0.379438785488264,
      0.391558394135119,
      0.444766581279049,
      0.526458233894144,
      0.583457784714877,
      0.598386296266793,
      0.619818776370459,
      0.626530378849883,
      0.599695596722726,
      0.567314589475141,
      0.533235041259145,
      0.506669830068338,
      0.509208711957648,
      0.540737159018364,
      0.584407607363494,
      0.621663523776732,
      0.645499796374732,
      0.637272458659399,
      0.59147425114134,
      0.556340367245099,
      0.545244248947136,
      0.5374714264213,
      0.54140229502334,
      0.578280166917909,
      0.630130952684831,
      0.648345128641967,
      0.604740934721726,
      0.53367536959923,
      0.466266050462814,
      0.411888834032134,
      0.371810192533425,
      0.345893034800786,
      0.336142482802415,
      0.349364356454305,
      0.37241645597789,
      0.395404302068785,
      0.424576320501031,
      0.467356734039505,
      0.513511994494875,
      0.530036547508372,
      0.506291197144172,
      0.460797758123967,
      0.421179839927874,
      0.401016495901991,
      0.399917530236459,
      0.422491714570845,
      0.462833059653235,
      0.496078121584664,
      0.519795141094502,
      0.536592178548926,
      0.544886387016615,
      0.547409450028225,
      0.543253288572862,
      0.530006868928589,
      0.517088395807326,
      0.509404663093276,
      0.506129287287882,
      0.511444384948359,
      0.524265635284813,
      0.52807325913252,
      0.514166124071635,
      0.495772549822091,
      0.483696875600345,
      0.472285250177894,
      0.465421263848519,
      0.471562226272693,
      0.494157842660155,
      0.532347879628608,
      0.566553514203006,
      0.598429018142479,
      0.642544629255325,
      0.702667523915424,
      0.725593172411284,
      0.689134410444904,
      0.658009538523662,
      0.675012166666561,
      0.71566040034853,
      0.716835975018412,
      0.675345540269016,
      0.64312195756099,
      0.647015947098379,
      0.675267592952089,
      0.703258751896739,
      0.7075214656766,
      0.666721994911888,
      0.596771793955979,
      0.545020124138476,
      0.537844686198469,
      0.570085965819251,
      0.610376974831874,
      0.629406574977545,
      0.626276024515624,
      0.614362518641883,
      0.614418954111589,
      0.619440319988076,
      0.610454663859867,
      0.601497101846777,
      0.617502318298637,
      0.654805624205311,
      0.685364501718989,
      0.708937251348108,
      0.731069843680266,
      0.734329833877838,
      0.703336734294154,
      0.643738908306104,
      0.581838708100886,
      0.541997117230629,
      0.530916899076722,
      0.538182301874822,
      0.529752976070129,
      0.5028087770533,
      0.491453824493187,
      0.513030304289936,
      0.561042999117823,
      0.603510555299247,
      0.609115508187226,
      0.592007319277311,
      0.574299913256053,
      0.564270502294746,
      0.584003777354565,
      0.656408059321139,
      0.735313586975656,
      0.762510127079524,
      0.745947473219404,
      0.724168120381144,
      0.702259353979339,
      0.676355013059614,
      0.661540554852699,
      0.666162770925645,
      0.679873053338917,
      0.68075841391384,
      0.678065016621593,
      0.689425689137566,
      0.699199442062028,
      0.696472605719708,
      0.681755245810276,
      0.662234012857602,
      0.659494969303378,
      0.682431893446805,
      0.717242494628318,
      0.73427437274855,
      0.732618194937996,
      0.731611186393007,
      0.712551382687962,
      0.675967540454109,
      0.65322581362707,
      0.625080384229242,
      0.581743261557446,
      0.560673977798516,
      0.592223059222886,
      0.677691102320076,
      0.748884932016104,
      0.740970223628118,
      0.688232483304034,
      0.641836576009286,
      0.625744049248986,
      0.605603418266655,
      0.564803056782224,
      0.547189910681082,
      0.591158337945695,
      0.67665727888245,
      0.292827007464906,
      0.319768142220959,
      0.343282769460466,
      0.351470026451976,
      0.341207118151088,
      0.335300973238317,
      0.340410572982802,
      0.356993609926072,
      0.385363817382804,
      0.421198558024349,
      0.438363542671289,
      0.411645445204689,
      0.378158279114772,
      0.360752939633798,
      0.334843947767756,
      0.311349027758605,
      0.318941371586852,
      0.355697962632542,
      0.392046570117016,
      0.390018404103572,
      0.344408875749346,
      0.289789427145757,
      0.259034723365531,
      0.26429942554833,
      0.306724379362712,
      0.389785995394321,
      0.465925357684057,
      0.446056219612852,
      0.351704233657955,
      0.281176997346654,
      0.263603007112946,
      0.276090979047987,
      0.294130675732514,
      0.314886472407994,
      0.354632383341243,
      0.395423639837488,
      0.404555518483263,
      0.385343512553594,
      0.333482439136537,
      0.285459475508845,
      0.276007794209707,
      0.317270208073915,
      0.404689173244934,
      0.490606677643628,
      0.535457372457919,
      0.557838243660878,
      0.549243916567098,
      0.522893248699255,
      0.500711147504433,
      0.466786067475604,
      0.434650833802916,
      0.442396210680473,
      0.494117916971657,
      0.558139259884907,
      0.595969333590271,
      0.615275116680884,
      0.614704809560942,
      0.570697801496566,
      0.525195304193458,
      0.499991276766443,
      0.479735551012719,
      0.479794363803308,
      0.523212631546275,
      0.587726525606812,
      0.60377732132096,
      0.528527574388418,
      0.424818964467511,
      0.349270100146518,
      0.315203180188949,
      0.307531655744132,
      0.302826295403132,
      0.295465282346115,
      0.296616580053033,
      0.307826753911224,
      0.326217204992093,
      0.351383658155852,
      0.380192388706589,
      0.41054458430551,
      0.433941787376017,
      0.43094533824978,
      0.391228875993559,
      0.347050175731635,
      0.335484057121066,
      0.360911180612446,
      0.407203338449086,
      0.434605659870655,
      0.430113028246648,
      0.422048434439788,
      0.42227181334585,
      0.437755337019364,
      0.452506074127773,
      0.449974727561584,
      0.446923217169552,
      0.464586825112653,
      0.495545105464217,
      0.509956100269476,
      0.494548687604483,
      0.461778396752758,
      0.421646665366051,
      0.393940774298701,
      0.396588865486734,
      0.410368070703553,
      0.407239780155789,
      0.405069594797194,
      0.42287896435251,
      0.45453325473025,
      0.461028549666806,
      0.445041164743547,
      0.46016010771756,
      0.525908159713833,
      0.627683619345962,
      0.677933585195079,
      0.655459547059427,
      0.632240539720224,
      0.635584147827287,
      0.64522382403698,
      0.630597113761037,
      0.595034087928544,
      0.56724454115642,
      0.571095173186516,
      0.612728471442856,
      0.662179265073581,
      0.667334080160431,
      0.614438204031266,
      0.539305507184716,
      0.490586939337774,
      0.491570914020016,
      0.529013862923877,
      0.559200165644767,
      0.558334542232485,
      0.548533518064612,
      0.545513106274236,
      0.549229884724548,
      0.544775432175131,
      0.533020422916906,
      0.538619218283158,
      0.571591440166774,
      0.609238273526647,
      0.619421006569183,
      0.601050303226038,
      0.574668455216662,
      0.566915452575368,
      0.574731647794453,
      0.556861996849163,
      0.503962869676835,
      0.460273829617069,
      0.456201723145868,
      0.484967339581117,
      0.499841233934565,
      0.488881032117577,
      0.484720094236094,
      0.496441784010218,
      0.519544176520357,
      0.545822260720795,
      0.558436628602014,
      0.554177976036402,
      0.547521942834919,
      0.549530221354163,
      0.56888295627901,
      0.610543057844735,
      0.656974707661428,
      0.67606358913138,
      0.659885165952476,
      0.63959205080574,
      0.622148036908595,
      0.604038449983272,
      0.598929182535516,
      0.615715988403991,
      0.638940677331471,
      0.630758072717065,
      0.600261545838101,
      0.584764585850464,
      0.587131776457429,
      0.593078345679114,
      0.579436449449838,
      0.543869189864043,
      0.525010115848718,
      0.543979576921702,
      0.5880053186351,
      0.622250424777618,
      0.638370359410003,
      0.659817324917218,
      0.661652802377447,
      0.634737980125312,
      0.615206086874087,
      0.578450840336104,
      0.522316700067446,
      0.490979155543721,
      0.50406967580964,
      0.549013688523839,
      0.57709734520888,
      0.567997070134968,
      0.543956775549786,
      0.521437036374018,
      0.504305813217135,
      0.467375969144468,
      0.421623478092096,
      0.409263884585655,
      0.442852712477149,
      0.488451623684399,
      0.23842351828177,
      0.267384518885172,
      0.295514348431129,
      0.304818791328259,
      0.291799557876399,
      0.289795664450949,
      0.30855700228807,
      0.334746102112737,
      0.349434384155835,
      0.365429946176102,
      0.380712771325417,
      0.358529936975258,
      0.321570744790205,
      0.296514622756544,
      0.264278487636834,
      0.233366140030901,
      0.235061702807117,
      0.275139102573133,
      0.322755238686889,
      0.321289945078856,
      0.252564102572897,
      0.170929992261103,
      0.129779288782408,
      0.144535743964751,
      0.21744891823456,
      0.337283098732243,
      0.413190982531731,
      0.376163290106619,
      0.282205234763463,
      0.210549755634016,
      0.17891280506733,
      0.174321714394131,
      0.188405699226013,
      0.224618233577519,
      0.286358245326007,
      0.333514986829306,
      0.321342247601815,
      0.270060119029448,
      0.202370925774058,
      0.15622087254072,
      0.150750584225338,
      0.191794327211452,
      0.282907166773936,
      0.392664345164663,
      0.471220321307721,
      0.506917837596183,
      0.484000000458199,
      0.437007874098987,
      0.405265428211951,
      0.367598652536126,
      0.327353562354447,
      0.326090428043293,
      0.377359526011574,
      0.454165036971589,
      0.513367944117964,
      0.553104641150234,
      0.562979573052327,
      0.514890425943335,
      0.463118480197334,
      0.440167811281366,
      0.430963538745285,
      0.440570374849675,
      0.487874085613171,
      0.557112661195207,
      0.573119530840057,
      0.486629739913782,
      0.37417173451207,
      0.302316611498988,
      0.277613856624383,
      0.277100425333257,
      0.278140686670416,
      0.274447560155689,
      0.269330275036749,
      0.262586111705114,
      0.258263463635933,
      0.259907061887752,
      0.263956164979396,
      0.265470131955289,
      0.268841682539888,
      0.272182885411686,
      0.258235343121308,
      0.239061262131815,
      0.244376158851477,
      0.285508613629122,
      0.354114593881253,
      0.414296453002355,
      0.4401024354148,
      0.445712571570954,
      0.432999916890032,
      0.404575393591273,
      0.375621674539771,
      0.36746868914683,
      0.392399582810504,
      0.442124536350381,
      0.495478123779312,
      0.52015903093547,
      0.49788891011465,
      0.447174996073221,
      0.393343149781604,
      0.363558957655934,
      0.364490896562412,
      0.359353344537502,
      0.330340622309349,
      0.320355123434099,
      0.35190910048115,
      0.412022299769689,
      0.430212260065767,
      0.398853361129444,
      0.407279841189583,
      0.481875888608233,
      0.597466812496216,
      0.66105230701839,
      0.655954090776574,
      0.64078132133062,
      0.626271552149311,
      0.597591300373598,
      0.551749151338568,
      0.505011943831549,
      0.480839287531149,
      0.500581317200067,
      0.567678469049053,
      0.635312126718836,
      0.634050526691454,
      0.561838302318519,
      0.473068682501656,
      0.420827358056718,
      0.425450519908943,
      0.471461198382393,
      0.509208273431894,
      0.510381030497208,
      0.500977792439427,
      0.496067471578944,
      0.488426253343961,
      0.465413773881137,
      0.442590093765053,
      0.450180312242576,
      0.486190789605795,
      0.521366226255453,
      0.535858344580644,
      0.525259442745176,
      0.490891571789764,
      0.464387895635619,
      0.466503120021194,
      0.466987954561659,
      0.442266961460123,
      0.421604805305797,
      0.429281361048804,
      0.452324357549952,
      0.450636816160694,
      0.434311567721934,
      0.441106191205578,
      0.469345468774103,
      0.494640827745289,
      0.494820769520405,
      0.475615212242628,
      0.466086036537223,
      0.471751466203708,
      0.487842352290193,
      0.512901206897152,
      0.547400177757836,
      0.592945343273436,
      0.62243293205872,
      0.609601493889,
      0.583441456218402,
      0.56341312229335,
      0.54618614630514,
      0.541893611233213,
      0.562049043089101,
      0.592300186393858,
      0.588119782222973,
      0.555215902804136,
      0.53290998525707,
      0.526985746431215,
      0.53035729479737,
      0.513144173360214,
      0.461402108105694,
      0.425064062094747,
      0.440105495662188,
      0.49831112604625,
      0.554824454797156,
      0.589042988863772,
      0.627009592966718,
      0.641736348454443,
      0.61174327023878,
      0.570633494373121,
      0.507620327871672,
      0.441649484601012,
      0.416498761183562,
      0.436279426318165,
      0.470175083766849,
      0.473574247651132,
      0.461710082457574,
      0.457076757921582,
      0.446211496024887,
      0.415598758668828,
      0.358715571593824,
      0.310276984336366,
      0.302088549655861,
      0.322493148913972,
      0.333842537313365,
      0.201420080208176,
      0.238049499476897,
      0.269031265581865,
      0.267865693573774,
      0.2298523009378,
      0.207275385657889,
      0.223714390270659,
      0.262967810180345,
      0.289681208851624,
      0.308639531458232,
      0.335861594821043,
      0.336925705913919,
      0.312454785598451,
      0.283721429589179,
      0.240905106060165,
      0.201894164004346,
      0.197838051880199,
      0.230612998644315,
      0.267444550984636,
      0.257995362766363,
      0.195458175098226,
      0.131364007256559,
      0.106424808563681,
      0.13024821471285,
      0.209034693965216,
      0.335650142570881,
      0.409686145636516,
      0.361449412436471,
      0.257847938798498,
      0.179137576713831,
      0.14040131444389,
      0.129700201091061,
      0.142488511814594,
      0.1845339405891,
      0.254510221565622,
      0.304606726954988,
      0.282398784737527,
      0.218526944227928,
      0.154190166806065,
      0.11982747277359,
      0.121873636363209,
      0.163035512956563,
      0.252545093085561,
      0.367153947463204,
      0.452561853427985,
      0.491450895768956,
      0.459543756564167,
      0.393129544671428,
      0.349312917483631,
      0.310410860188739,
      0.264887590342389,
      0.246253235082656,
      0.279058293212419,
      0.351679938818808,
      0.425891980828796,
      0.485391665073613,
      0.50684773994554,
      0.462769416161803,
      0.416610505617149,
      0.407110426763308,
      0.408336817931322,
      0.408630081839881,
      0.441672259366432,
      0.511141300305365,
      0.540075846699341,
      0.460209641826563,
      0.345068303824732,
      0.274562488048134,
      0.254146660422407,
      0.260183089914936,
      0.274863395728374,
      0.277082935191032,
      0.250993145297332,
      0.215080732589092,
      0.1985910206643,
      0.202023480345967,
      0.203082562519004,
      0.186276632484208,
      0.170586320100675,
      0.168478743066343,
      0.169994288617455,
      0.176092072203731,
      0.19943205603429,
      0.249098718613008,
      0.327182528198831,
      0.402374578366946,
      0.436322461105686,
      0.444314692664198,
      0.433561052604451,
      0.401275147066258,
      0.366846308486732,
      0.363663605834036,
      0.398185477534676,
      0.449146749571556,
      0.489845098523273,
      0.491653571014883,
      0.453342277316122,
      0.40702498501285,
      0.375122898993382,
      0.368049817731986,
      0.373591095733998,
      0.348450691540551,
      0.296660817667863,
      0.283496027099133,
      0.3285821851612,
      0.412141100390259,
      0.445272276352306,
      0.407153088516403,
      0.406015479818996,
      0.472874631914551,
      0.580219532492973,
      0.642249052083515,
      0.649086302837461,
      0.64746459306922,
      0.636694708801528,
      0.599254123490822,
      0.540029230762226,
      0.484305087150354,
      0.457938340172894,
      0.477756102551138,
      0.543571385320441,
      0.614379544919453,
      0.620552956474574,
      0.549919473262165,
      0.454444780010221,
      0.390483389521857,
      0.383287185842728,
      0.426948995939359,
      0.47703656953413,
      0.48953369852416,
      0.472798369192262,
      0.446860386440569,
      0.418723015490406,
      0.385283234170619,
      0.362117175502966,
      0.374662956981144,
      0.416355308078811,
      0.455167873031522,
      0.474562286560276,
      0.478327331233124,
      0.460600250478445,
      0.433754865475386,
      0.422816615872021,
      0.420768542161631,
      0.411560274756106,
      0.411262632442231,
      0.435440520232278,
      0.467321871369797,
      0.461133014396804,
      0.433105601288589,
      0.434255344360698,
      0.467607316919881,
      0.500738920322532,
      0.491797688626575,
      0.454829382149066,
      0.448047577690462,
      0.467167078645161,
      0.488986279005576,
      0.506501413807364,
      0.526087131717045,
      0.565748623780441,
      0.601670367639723,
      0.596424621456053,
      0.568433330900012,
      0.544250943885588,
      0.526215634674953,
      0.521578428290745,
      0.537512565463223,
      0.558836265620741,
      0.548281670756388,
      0.520088468036224,
      0.506818585379294,
      0.501089011000241,
      0.499355601764472,
      0.485055474745909,
      0.440003901749894,
      0.402693677438998,
      0.410654965859776,
      0.462323775696891,
      0.516128907633161,
      0.549947085954363,
      0.587542520490097,
      0.606312967890252,
      0.582005183688234,
      0.536106928543229,
      0.458664610564329,
      0.382517167205008,
      0.36014669538876,
      0.393737019445765,
      0.443979845823847,
      0.450996320985383,
      0.430149570436035,
      0.420767605665068,
      0.409977547268767,
      0.376453744823944,
      0.315977421656934,
      0.270180357130915,
      0.268846748107315,
      0.291966807824468,
      0.298114375004503,
      0.211731095093959,
      0.25806689638834,
      0.288213678260318,
      0.27964278687377,
      0.229458054324865,
      0.195169363068392,
      0.209286443468744,
      0.259936452621576,
      0.298323752855431,
      0.307323897139433,
      0.319900967254695,
      0.330843364912136,
      0.33156098462319,
      0.32020664978498,
      0.273211796618741,
      0.216850938528137,
      0.200634342840952,
      0.231769784318784,
      0.274805466244167,
      0.269793964675997,
      0.209615801638672,
      0.153591790884205,
      0.1416741014911,
      0.181974067349083,
      0.272802891179143,
      0.385387542966301,
      0.420692179626618,
      0.353975050516524,
      0.251992841097377,
      0.176442140978885,
      0.139524302667462,
      0.132492789288187,
      0.152539745455179,
      0.201057054780573,
      0.269037137432526,
      0.311175314316067,
      0.287468072752955,
      0.227858151348299,
      0.166323666432566,
      0.130115070426433,
      0.127048809410012,
      0.163021886366736,
      0.254316898949454,
      0.38380871315893,
      0.484145226236214,
      0.526634315198269,
      0.49013649869173,
      0.415026404441455,
      0.366173728169641,
      0.32661422985091,
      0.279966408077212,
      0.256304446341906,
      0.281638552133243,
      0.344511734499701,
      0.407054505637364,
      0.461285181838986,
      0.493717670645574,
      0.468881923790308,
      0.433964326552291,
      0.428667660981666,
      0.42660347989302,
      0.41158667197434,
      0.427771478372635,
      0.488667597487189,
      0.521394165244505,
      0.453196145975704,
      0.349223411894071,
      0.289281487730765,
      0.280407370345303,
      0.297529393853049,
      0.317269941426486,
      0.314851745587603,
      0.281296014119805,
      0.240864830729212,
      0.219266582237994,
      0.213599215883361,
      0.20534275922064,
      0.184444528975188,
      0.163037709650794,
      0.157841578860206,
      0.169005324250411,
      0.186862342536152,
      0.209470454054753,
      0.244089824793552,
      0.303330151698382,
      0.367807779750366,
      0.399767719173321,
      0.415429480849179,
      0.428824175090619,
      0.430997510531578,
      0.416153013418005,
      0.402437328643902,
      0.407705196363416,
      0.435197318469313,
      0.471071124942588,
      0.480293712859821,
      0.447675439468738,
      0.406427599366435,
      0.383333870451336,
      0.380617406318855,
      0.379768236675329,
      0.342552548499636,
      0.284391811633461,
      0.271548361937185,
      0.320685490642248,
      0.4152914610131,
      0.465735425703577,
      0.433394058805971,
      0.424873661382484,
      0.476771459461359,
      0.569235043491713,
      0.625459204147963,
      0.631463787639873,
      0.632345571402418,
      0.632029214232868,
      0.613330769412168,
      0.570911103349723,
      0.51879640606212,
      0.484825026223859,
      0.493472497992288,
      0.547492558979951,
      0.606013340108789,
      0.606045152384473,
      0.539429187669262,
      0.449296813913494,
      0.38541322792012,
      0.373571998937227,
      0.412205802967063,
      0.462944844711994,
      0.480950102672583,
      0.463087167682884,
      0.424586492215786,
      0.384944098056358,
      0.354055557105857,
      0.342062171164345,
      0.358699999645609,
      0.398294083623909,
      0.441033917461044,
      0.468841245410369,
      0.47606875630826,
      0.457625180493108,
      0.427956488039642,
      0.411068510509203,
      0.401041885020413,
      0.387348599210972,
      0.391457985759805,
      0.433359030390248,
      0.49410198006189,
      0.503284317344625,
      0.462366088123974,
      0.440044486549187,
      0.456968171871938,
      0.494010678600325,
      0.50200313906591,
      0.475647105919423,
      0.475918968882525,
      0.502864205339539,
      0.528872968185192,
      0.543824683269309,
      0.55565504773527,
      0.588390253640746,
      0.623033529144899,
      0.620572922738343,
      0.589923012499697,
      0.555260357855547,
      0.523308601644568,
      0.505294109243759,
      0.512348300766887,
      0.535521048876732,
      0.537516052738008,
      0.521607033100241,
      0.516490692663719,
      0.51387716059961,
      0.509245008036866,
      0.487863608253188,
      0.436558089638703,
      0.396761893084786,
      0.405031356347054,
      0.457088958784775,
      0.508346983673281,
      0.536662082748805,
      0.568564206108712,
      0.588482620508374,
      0.577451560105252,
      0.546682814240202,
      0.474643725049838,
      0.394198936758451,
      0.366103340691197,
      0.398541373413154,
      0.456745218445321,
      0.476456310921526,
      0.4572963198107,
      0.437970711250621,
      0.41708734738718,
      0.383316151789409,
      0.330837336506053,
      0.291438877514147,
      0.290728254089404,
      0.311610962504078,
      0.315966951352809,
      0.288336381633353,
      0.338849122005044,
      0.364862235742107,
      0.347580340830086,
      0.284692688970281,
      0.237126739111672,
      0.245853613215354,
      0.308401471379241,
      0.369689849060549,
      0.384578465165736,
      0.383602230156905,
      0.38760419414755,
      0.401236838839379,
      0.411278909075657,
      0.37908575649588,
      0.327794461335142,
      0.312380663633469,
      0.338490737196033,
      0.369531901659805,
      0.360964817661646,
      0.325993558518139,
      0.311239238632548,
      0.336542267663668,
      0.402164939091911,
      0.486121833411603,
      0.527420378271761,
      0.479597034216146,
      0.406261701140209,
      0.330426089284566,
      0.267708471716731,
      0.233778462212685,
      0.231426525436765,
      0.257772738577923,
      0.298635949428326,
      0.332756161894871,
      0.342805766076,
      0.327743754395113,
      0.293401313722148,
      0.241932689106058,
      0.202594099366825,
      0.193133177250656,
      0.22452810396131,
      0.313914547657236,
      0.442043012587247,
      0.538796434047568,
      0.576229633283173,
      0.540487907519893,
      0.469038368659668,
      0.425824062468413,
      0.39406016226326,
      0.354034247781055,
      0.332879075968557,
      0.355145479413228,
      0.412016621571227,
      0.468587289463057,
      0.512878032525751,
      0.533234703110085,
      0.506394021745816,
      0.47756698935093,
      0.478363193837016,
      0.479224161757678,
      0.462905302281899,
      0.472621971951552,
      0.523033782251775,
      0.54894498696628,
      0.482913304506292,
      0.390967485888049,
      0.352302675068305,
      0.361863650659336,
      0.36679841776128,
      0.353015677672835,
      0.333830409572039,
      0.314970808006667,
      0.293799364558293,
      0.276389538521855,
      0.26915377853973,
      0.266772815889581,
      0.254564896991167,
      0.236390417864011,
      0.237071680520587,
      0.257830454328774,
      0.275839969938614,
      0.286350352337008,
      0.304436143620467,
      0.347943522141987,
      0.393846851116615,
      0.415944707727915,
      0.442631601288781,
      0.478999199050404,
      0.497279485783319,
      0.486397861641767,
      0.464925823096192,
      0.445664923618177,
      0.441701950679486,
      0.460834465213005,
      0.488180007078621,
      0.49332617238512,
      0.469191379154645,
      0.43036124784838,
      0.400085554102237,
      0.391854442208047,
      0.37420098443373,
      0.325820592008551,
      0.297972014848815,
      0.326984500209235,
      0.414127327761926,
      0.48808642417364,
      0.489442271252243,
      0.495371268121463,
      0.539453764279576,
      0.608413231001958,
      0.647049031332763,
      0.651561579327472,
      0.658524975672546,
      0.66207069907134,
      0.641902641257837,
      0.599640354989214,
      0.552121505506793,
      0.522216870617594,
      0.532478186233826,
      0.584385025864423,
      0.625322204479712,
      0.60356428760125,
      0.535247515825084,
      0.457126776574131,
      0.407963760899308,
      0.411736309547565,
      0.462677595493135,
      0.51229846681602,
      0.519780224054085,
      0.50027463675222,
      0.470042681912914,
      0.440720220741876,
      0.419706118624662,
      0.414217321549507,
      0.429399827227964,
      0.463905555795983,
      0.504891318250082,
      0.530583621060138,
      0.526029569026458,
      0.494126354733727,
      0.459979425092387,
      0.445652218906249,
      0.438209141587947,
      0.419907378695111,
      0.414073655431398,
      0.449450572086408,
      0.509299155927419,
      0.516907172127912,
      0.476585687687541,
      0.45964492306328,
      0.48015666370834,
      0.517811543439629,
      0.534458581161317,
      0.518248885476114,
      0.510838059465778,
      0.521976721446726,
      0.539099805135702,
      0.560844900782184,
      0.59622803740488,
      0.645292703506541,
      0.679475832375313,
      0.67223044115382,
      0.635536995478418,
      0.591373846057935,
      0.548998653487434,
      0.525006302540839,
      0.533652394829307,
      0.566473223536208,
      0.581772132124533,
      0.57083211578096,
      0.560670671808333,
      0.552816777080855,
      0.548459440626181,
      0.521038136918264,
      0.452527911026723,
      0.402765242135972,
      0.418497831872302,
      0.490895333006119,
      0.559357055274692,
      0.587934501830021,
      0.608664366395731,
      0.616251760858101,
      0.596256614737395,
      0.565279821389959,
      0.508648690942606,
      0.445783907296773,
      0.420566025453737,
      0.442811653701303,
      0.494187983238062,
      0.525630034303983,
      0.521696101005915,
      0.502069687653564,
      0.474799185927665,
      0.452230627371417,
      0.427522150604111,
      0.405590203552599,
      0.398139363192701,
      0.395596761166986,
      0.375464751673839,
      0.44004738038105,
      0.495252367450583,
      0.511465880837194,
      0.473745077607175,
      0.395511919370646,
      0.344130567776726,
      0.352977212773086,
      0.420136122406636,
      0.492494587411955,
      0.514986776894173,
      0.512217957683595,
      0.516805808668129,
      0.536387716734157,
      0.545014190650475,
      0.518735892060165,
      0.493160829069577,
      0.496670713366043,
      0.51194772293313,
      0.516443545806568,
      0.524013447121624,
      0.579515196853136,
      0.666478675321885,
      0.745211729556883,
      0.800567778319044,
      0.809556290975854,
      0.731744691298107,
      0.59846724698528,
      0.54677999227517,
      0.556961768015462,
      0.559057729350415,
      0.551719702914358,
      0.55004014771895,
      0.557559673101599,
      0.554025286333084,
      0.517758387914413,
      0.477703977472059,
      0.479213110412089,
      0.49966815728093,
      0.501712210710833,
      0.491833232598665,
      0.486267556178416,
      0.495934523595778,
      0.534673292547662,
      0.600458850878777,
      0.650471959464632,
      0.65762861650014,
      0.628143334503286,
      0.589115127690155,
      0.567923809644187,
      0.555386871171451,
      0.546171024708689,
      0.550920088123767,
      0.570895292446924,
      0.602187340175546,
      0.63931417185592,
      0.66851252048157,
      0.659605879834698,
      0.607975423493736,
      0.567170799575356,
      0.5573021774221,
      0.551051232875263,
      0.540535505267857,
      0.558116184363897,
      0.611395297416822,
      0.651372759875445,
      0.617426936691037,
      0.547044164109104,
      0.498247553329566,
      0.484842886948475,
      0.482398398714906,
      0.486991543763052,
      0.506541630613611,
      0.516923248243251,
      0.498751445112225,
      0.475352007817938,
      0.471722678408368,
      0.480362925475459,
      0.475834363587602,
      0.47761672243402,
      0.507275786284323,
      0.53790753677966,
      0.53712797870492,
      0.520020844664941,
      0.518739518932195,
      0.547549800438155,
      0.560245404584192,
      0.532413228604577,
      0.515061686377321,
      0.529189347614155,
      0.566833130636645,
      0.613520414438279,
      0.638121003768425,
      0.620267804105378,
      0.584282730203561,
      0.566809045834423,
      0.584182573349778,
      0.608850371205605,
      0.599020553224619,
      0.554933338206627,
      0.517070507368163,
      0.523497582105376,
      0.548605798907104,
      0.531304432413335,
      0.498622373665445,
      0.500449821890801,
      0.55645237339848,
      0.628342868764849,
      0.644305546449596,
      0.643351264953257,
      0.656504963297189,
      0.681966125335551,
      0.691718460986829,
      0.686504959780091,
      0.694808098407357,
      0.709675341378083,
      0.701983773318288,
      0.666582723179766,
      0.624700829762992,
      0.601556742256167,
      0.613281839841994,
      0.657493487314061,
      0.682971090005073,
      0.647464183061501,
      0.584729116325864,
      0.535363091915313,
      0.524381724736568,
      0.55913343268934,
      0.62152988170833,
      0.655326051084639,
      0.632825797959312,
      0.603665586971073,
      0.59298181193745,
      0.593035674925953,
      0.597411797600355,
      0.604228812254293,
      0.611840181296489,
      0.625502671228574,
      0.655303595887589,
      0.682655489527593,
      0.674290616795388,
      0.640759806497596,
      0.610051187644941,
      0.589338072889463,
      0.568263151647352,
      0.543408195095701,
      0.533323215437422,
      0.555835982681331,
      0.592709633659188,
      0.586943971063916,
      0.550113915372975,
      0.539788552508596,
      0.566252574170132,
      0.61137422853845,
      0.641980902872637,
      0.62694853291735,
      0.595030561979991,
      0.58431183743462,
      0.601605036807234,
      0.646805696892666,
      0.709196809075977,
      0.755831413234858,
      0.767053396562871,
      0.739194935216864,
      0.700081170213119,
      0.669158676007265,
      0.639595079976681,
      0.620073485839899,
      0.628244823845215,
      0.662390799477046,
      0.690077438760205,
      0.694055546817882,
      0.685242414019877,
      0.666205503102428,
      0.649044710735804,
      0.620119449660289,
      0.56147096072867,
      0.520267809754563,
      0.538958705744957,
      0.61027537981154,
      0.677907034346947,
      0.702854845309111,
      0.706474265812792,
      0.687096374313297,
      0.650876982626413,
      0.631529550436342,
      0.619027067719937,
      0.592872277817087,
      0.570828112816366,
      0.571485856059922,
      0.603252996150851,
      0.650046511228039,
      0.680080955537622,
      0.676897733221173,
      0.647366446424514,
      0.628859697162798,
      0.623119891937316,
      0.610528379107219,
      0.588826766574541,
      0.561273602180097,
      0.525928588432175,
      0.557025360487864,
      0.615387171298961,
      0.627038287071087,
      0.595587354582361,
      0.563837189614847,
      0.56561355133674,
      0.583787963343335,
      0.598431462128281,
      0.601966255274513,
      0.608329262779437,
      0.619416142841736,
      0.629008565700621,
      0.643274866305398,
      0.661285607104523,
      0.667467105995988,
      0.657847866102382,
      0.64022558222041,
      0.614710298684519,
      0.601488628562073,
      0.636848529043763,
      0.709354249488037,
      0.762519725206678,
      0.770975384524805,
      0.742048547691999,
      0.69314120717453,
      0.662673284146844,
      0.649547425136017,
      0.604525171847434,
      0.545526792171672,
      0.526962672835262,
      0.55670206684596,
      0.612736336284793,
      0.661681101025338,
      0.67428832754719,
      0.654668656118965,
      0.633122849720282,
      0.632777211596339,
      0.654460062682315,
      0.697406651999637,
      0.747193292950861,
      0.788312583079048,
      0.813253060581497,
      0.820856198422599,
      0.81496407123757,
      0.793304477892028,
      0.750782309806785,
      0.722005878830076,
      0.736244934681654,
      0.769043417458157,
      0.801066804834637,
      0.828359543090445,
      0.845858496066234,
      0.850979418699204,
      0.850821605893127,
      0.849947356995566,
      0.834125189342235,
      0.78565468822312,
      0.728038517419483,
      0.701208648755726,
      0.702054706133874,
      0.70346015229841,
      0.698119702353905,
      0.706644273823093,
      0.738508050475044,
      0.777184791611223,
      0.77478173725084,
      0.716989764019235,
      0.638485799564557,
      0.598381351027576,
      0.624976321738623,
      0.673922409203372,
      0.699257916312061,
      0.686808695761917,
      0.667521455794834,
      0.676501088134867,
      0.714874620037746,
      0.75331347330607,
      0.765259872253515,
      0.769540124145799,
      0.77159493053976,
      0.754084180580413,
      0.730059060254487,
      0.72356604211296,
      0.738924233621935,
      0.760142691323859,
      0.741736474386712,
      0.679859803005627,
      0.625176454788589,
      0.614058729604574,
      0.663888698794734,
      0.731256156580824,
      0.747790623282955,
      0.716895591963304,
      0.682866975844393,
      0.67430665539475,
      0.696469805569574,
      0.721081397780452,
      0.720982457253318,
      0.700107224494611,
      0.682865860080671,
      0.69407012037757,
      0.719979858802791,
      0.71813856740502,
      0.702852657876679,
      0.706354833146055,
      0.739225977058742,
      0.765994707109246,
      0.753859048824186,
      0.743103399751451,
      0.746529475952973,
      0.760618705434494,
      0.766252542881275,
      0.756418401737984,
      0.753341750263209,
      0.762825587203378,
      0.764548287698863,
      0.74665358857197,
      0.725678624429271,
      0.718204014857718,
      0.722309433442361,
      0.735653634306422,
      0.745913809831601,
      0.726301945300001,
      0.694957515600535,
      0.691420012047239,
      0.722155992971719,
      0.767287368400188,
      0.801290245148955,
      0.797107752041423,
      0.758512868438793,
      0.734468496171222,
      0.747918621230462,
      0.777767202674488,
      0.791609577947264,
      0.782329341812952,
      0.772826946747779,
      0.782334253599064,
      0.808623220413259,
      0.825762474539574,
      0.813889556558757,
      0.782714125237472,
      0.75830082190935,
      0.748960881994018,
      0.728491545554923,
      0.683897909061433,
      0.646406029962515,
      0.651742249483061,
      0.7037734129489,
      0.73701599533145,
      0.721074254855185,
      0.713491901105402,
      0.741880788456481,
      0.789480361208658,
      0.809101252290576,
      0.757715269569213,
      0.674542625520002,
      0.633099831583302,
      0.653759424204755,
      0.729188486767479,
      0.807292213590393,
      0.818866318014499,
      0.786340373732787,
      0.7450369926773,
      0.731395619913707,
      0.748343789762169,
      0.763375422289003,
      0.767996077768058,
      0.773913557015723,
      0.78228693196594,
      0.783467112720242,
      0.783423909767166,
      0.785750966223203,
      0.779826882175929,
      0.771932207130084,
      0.769332673678642,
      0.760508751390811,
      0.751285364321034,
      0.752229368925866,
      0.754386056236293,
      0.748132694013085,
      0.749218431516025,
      0.760430652545345,
      0.75470744644024,
      0.738318373677785,
      0.742371323591557,
      0.743139348187211,
      0.714987871657484,
      0.68817216733237,
      0.690527964084446,
      0.731542609712178,
      0.784547363384099,
      0.805894844218291,
      0.796899742223175,
      0.775040592661514,
      0.764574314928275,
      0.765799095020038,
      0.76468602429704,
      0.754888255422695,
      0.73288286459824,
      0.698115267337077,
      0.463168011662254,
      0.526997466029951,
      0.563113473959861,
      0.572911340320018,
      0.563284840412001,
      0.554777396203163,
      0.550303786321579,
      0.538820649783352,
      0.515033882510482,
      0.510353493241622,
      0.539649938341588,
      0.568937372442638,
      0.576057830639462,
      0.571896115996678,
      0.551952151090473,
      0.523481717080192,
      0.511486230023197,
      0.5205810811933,
      0.539290673818731,
      0.536035059657785,
      0.480976741945757,
      0.407265896322973,
      0.35938074367549,
      0.349164321886422,
      0.374770264198213,
      0.437144513796376,
      0.483451422802473,
      0.445313221991405,
      0.361352903593071,
      0.302348779667846,
      0.289465170850503,
      0.323813244261411,
      0.393797006766317,
      0.467260835271665,
      0.516493399188627,
      0.528554431147997,
      0.509090853060239,
      0.473208523752766,
      0.434903117376705,
      0.425003082829861,
      0.452809569852887,
      0.516998301577586,
      0.609007759223616,
      0.682226836289787,
      0.704270624362497,
      0.706085319980173,
      0.70090113609449,
      0.691717668699901,
      0.667988328252196,
      0.63036146255606,
      0.610152472835511,
      0.624678970934849,
      0.658577418987563,
      0.687692214898459,
      0.698836274333164,
      0.698978396132856,
      0.683102298589681,
      0.652477033194371,
      0.639704235909516,
      0.647401980715531,
      0.657787275449824,
      0.669169755212628,
      0.689041218446594,
      0.713363359070438,
      0.721122568655428,
      0.689567049105908,
      0.637408537058275,
      0.587381976160103,
      0.539860012393445,
      0.495829149757311,
      0.462054472622679,
      0.445124312351613,
      0.444468946529406,
      0.445479139413637,
      0.452698015480459,
      0.483447460207073,
      0.540648519123252,
      0.59137911817413,
      0.612043340741092,
      0.61593482505505,
      0.598991076769885,
      0.573554993761896,
      0.565399649832591,
      0.582128014808142,
      0.617952799236798,
      0.637223529007531,
      0.617239460209014,
      0.600955612268062,
      0.615704530935682,
      0.649284994102299,
      0.649709907462839,
      0.605271452340088,
      0.565434552769807,
      0.559554382660678,
      0.58037987225846,
      0.598479474836059,
      0.594092208156242,
      0.598175618057244,
      0.618032448374958,
      0.627588248730795,
      0.615728863115564,
      0.587956938699936,
      0.561658100064067,
      0.553686454148119,
      0.570338606090819,
      0.608517095189657,
      0.622927865985735,
      0.609944205424879,
      0.625936926811874,
      0.675963967047733,
      0.736192309436526,
      0.748525540602881,
      0.712435861531269,
      0.681600675476229,
      0.678849288070695,
      0.693448716481302,
      0.70614633372616,
      0.710616787460886,
      0.703935946364474,
      0.687863668053123,
      0.682670736465884,
      0.696113573972942,
      0.686430545161761,
      0.650754644130715,
      0.639085587687454,
      0.659550963405736,
      0.683347331966282,
      0.681947108917201,
      0.660150476840553,
      0.655594425584812,
      0.676049557164525,
      0.705033058123621,
      0.724590708809931,
      0.710509281998652,
      0.672238060097833,
      0.655117845247587,
      0.676871679552067,
      0.705856446325459,
      0.712484859508058,
      0.699930146469556,
      0.673898211685788,
      0.655911732096549,
      0.64764467697378,
      0.609490027827885,
      0.547110604377377,
      0.519253348991503,
      0.553580121999387,
      0.628638347819233,
      0.686757094490816,
      0.723368470660957,
      0.756913279279861,
      0.771961158158251,
      0.75867557386488,
      0.738428081064937,
      0.696639393462909,
      0.61828315734136,
      0.562991249832154,
      0.560007492150814,
      0.60734701042647,
      0.675739793051576,
      0.718327870222263,
      0.725828392207003,
      0.698926503671593,
      0.672203516700645,
      0.670342280638554,
      0.684858761425491,
      0.704343624623193,
      0.72405376978007,
      0.732424558139875,
      0.714146293471643,
      0.694323839668608,
      0.703198308173828,
      0.726987340175884,
      0.732834498363222,
      0.713347790949052,
      0.690904960718758,
      0.685218143886293,
      0.690189244736231,
      0.687830212428599,
      0.671392293166476,
      0.664858490828656,
      0.683744145351164,
      0.704846161893002,
      0.708919434911629,
      0.706271324730881,
      0.679784601640653,
      0.641507508288604,
      0.628842167569831,
      0.650430383893156,
      0.687712156254612,
      0.695828891699717,
      0.675066568103457,
      0.670908336141074,
      0.683350976352167,
      0.678540419821424,
      0.639417630030951,
      0.608407941149414,
      0.614440695151087,
      0.63425387661408,
      0.630507673932516,
      0.288651677863778,
      0.345494201771659,
      0.384959382718031,
      0.388117475249637,
      0.357919627719929,
      0.336996926616243,
      0.339579569100429,
      0.352358935509613,
      0.358989134336712,
      0.374898241314921,
      0.411370555482188,
      0.435561783569893,
      0.434451558035475,
      0.410953606245913,
      0.354076603459216,
      0.304230076257176,
      0.308376022478022,
      0.358853390056925,
      0.401026265386245,
      0.371011762409597,
      0.276111281106838,
      0.189846823100184,
      0.153549278343952,
      0.170760734815493,
      0.239762407614333,
      0.340579764435329,
      0.389805823092024,
      0.351801899750637,
      0.274685785438484,
      0.209177282901815,
      0.173131598889205,
      0.171968578560729,
      0.211533219149235,
      0.285537903415007,
      0.368194883116447,
      0.400564915698169,
      0.353989377838699,
      0.278368344465579,
      0.211088469604703,
      0.18141526063253,
      0.19335617067258,
      0.250612187040253,
      0.360382758465067,
      0.485124547878094,
      0.559414478041405,
      0.586846060621245,
      0.571531275442098,
      0.528852159294552,
      0.483681861288526,
      0.429871022957527,
      0.37989147277743,
      0.36657761657369,
      0.398014935086687,
      0.452296706711238,
      0.495958874681277,
      0.528084914696147,
      0.5426945202249,
      0.521245200947385,
      0.501163516466551,
      0.502517026163835,
      0.503841520292257,
      0.504116667397243,
      0.531386827473626,
      0.578724990283426,
      0.583563987174213,
      0.516263705807389,
      0.456259541903736,
      0.445186514718646,
      0.443071320893974,
      0.409721776598237,
      0.365404927987579,
      0.33214839724413,
      0.31506029141664,
      0.309034503052093,
      0.308307227105969,
      0.308688180531365,
      0.303262235527001,
      0.294681759977308,
      0.289403166511962,
      0.289095100615195,
      0.288612690847987,
      0.287774418636778,
      0.298830602781861,
      0.330623559705605,
      0.388699935401711,
      0.44430358328545,
      0.462232882016812,
      0.471897504606973,
      0.489564725808248,
      0.501980102293014,
      0.481588276179778,
      0.44337327612393,
      0.429463479487027,
      0.450926910586352,
      0.489205286463919,
      0.496060091420986,
      0.453757516542944,
      0.418945676357839,
      0.415083604134473,
      0.422790667161135,
      0.420828066327551,
      0.389912682120371,
      0.343744878320645,
      0.327076436456486,
      0.361505254640344,
      0.441927495314638,
      0.492277411199595,
      0.478754915409212,
      0.492127047337999,
      0.55756700812149,
      0.643160746626716,
      0.672888484163061,
      0.647688675175107,
      0.623402133436864,
      0.614509507772382,
      0.613312700754707,
      0.611980999106142,
      0.607511687362923,
      0.606719625296146,
      0.618985154238677,
      0.643180678168487,
      0.656758691664986,
      0.628560393121134,
      0.560713544447815,
      0.487789596281967,
      0.448954351755152,
      0.458164677168547,
      0.494552296948134,
      0.524343649186742,
      0.545776870440947,
      0.56080846519723,
      0.554667985206182,
      0.529980480977057,
      0.493368823846106,
      0.461285753947551,
      0.456469044063537,
      0.482158289657513,
      0.517407342452179,
      0.544452047248194,
      0.553066279823384,
      0.537081518064415,
      0.516838065742502,
      0.506980489266509,
      0.481194885001849,
      0.435005534232614,
      0.412861770651728,
      0.437172718838105,
      0.482089292638542,
      0.497671274445428,
      0.504077460664701,
      0.528539170233806,
      0.55343316651009,
      0.566702492154234,
      0.575324059636476,
      0.554575783325677,
      0.500198724021926,
      0.464698197683874,
      0.468581357612956,
      0.508202041238597,
      0.567787393069804,
      0.629985716623257,
      0.675472301905299,
      0.67367876451492,
      0.63746282635117,
      0.589804297518981,
      0.551512360819745,
      0.541380785727103,
      0.567248576127224,
      0.609666828027931,
      0.613029631942662,
      0.582622571003616,
      0.576508204269428,
      0.601474396208828,
      0.613099103120651,
      0.566336277771678,
      0.489722617408422,
      0.455555849918291,
      0.480080896696767,
      0.536958054294523,
      0.579788587020726,
      0.596600281156204,
      0.621722959291515,
      0.642385879430343,
      0.629694524632733,
      0.592250624828796,
      0.525412827127517,
      0.466116165587319,
      0.454323440955123,
      0.486000593711782,
      0.529222759327499,
      0.534225013799532,
      0.512540653310626,
      0.508052579831765,
      0.512684863847859,
      0.489082451329103,
      0.426323091873049,
      0.384684178015481,
      0.393746224580089,
      0.416865715244902,
      0.409673860624486,
      0.188516203216163,
      0.239382790789429,
      0.277492896052256,
      0.273885398777705,
      0.234984460528845,
      0.215107113492713,
      0.230432343545925,
      0.2600215940572,
      0.276130214948645,
      0.288865704518031,
      0.31226359591766,
      0.326286788303419,
      0.331410160057029,
      0.322414241289007,
      0.270842102002857,
      0.214903708555209,
      0.212745222527087,
      0.260550476671463,
      0.303201633741844,
      0.28021186216481,
      0.202332003074326,
      0.134112269330711,
      0.108356672625934,
      0.129363675814729,
      0.204009258466901,
      0.317806572798268,
      0.375098683600235,
      0.336249240570507,
      0.257736108520417,
      0.192760222652577,
      0.155936470420451,
      0.147207149278057,
      0.169790071334467,
      0.224666851512744,
      0.299030084983456,
      0.336404834660524,
      0.2939083465336,
      0.216853001842474,
      0.150515048641994,
      0.121448829578046,
      0.128637176609627,
      0.175742357878438,
      0.275250298058411,
      0.400182344823423,
      0.482269717689199,
      0.512008479376979,
      0.49044951226579,
      0.43829277153551,
      0.393225958312853,
      0.345056216195036,
      0.29138617943047,
      0.268155653643017,
      0.296398956365565,
      0.356829627105416,
      0.407846609955908,
      0.448810855054145,
      0.482396797322944,
      0.477190813253258,
      0.459452542693456,
      0.453176570057882,
      0.435702331926428,
      0.414817346846458,
      0.437902005400397,
      0.498516050237322,
      0.514278283029445,
      0.433953329424428,
      0.33976954804739,
      0.294785491030713,
      0.285493736011871,
      0.283466555182724,
      0.290349522247649,
      0.295042084415338,
      0.272168613571869,
      0.234457650230046,
      0.214144194965057,
      0.213313362369708,
      0.206608084370693,
      0.184174999111813,
      0.168910714702484,
      0.167995457247573,
      0.174282135051505,
      0.186301237071327,
      0.20996400202902,
      0.251840402478264,
      0.320202241486677,
      0.3864772666581,
      0.404265702098653,
      0.399045168791702,
      0.398142697314297,
      0.395769398683169,
      0.373897009758775,
      0.358351394973454,
      0.382204352300742,
      0.434459589852389,
      0.481848602878129,
      0.480558053761006,
      0.426569773270755,
      0.373253509435484,
      0.351666079464543,
      0.363503454973868,
      0.380884508731581,
      0.350826138316787,
      0.283538594167635,
      0.259163088770967,
      0.307863910197551,
      0.412984613727782,
      0.476927660820406,
      0.449994423307811,
      0.442860958843452,
      0.493358011995307,
      0.579653808504399,
      0.623733615379538,
      0.614196153779276,
      0.60464531471425,
      0.603747096427912,
      0.595072210270511,
      0.568043830706551,
      0.531399189818577,
      0.514170586441348,
      0.540888767431142,
      0.60183507164122,
      0.641301221601731,
      0.611137412486674,
      0.532225830733285,
      0.450374774164202,
      0.400932027505731,
      0.397246126584504,
      0.430079165615025,
      0.470740524005486,
      0.490095090206299,
      0.481185789705598,
      0.451837289735922,
      0.41612195310455,
      0.379123486681675,
      0.354692157608965,
      0.361586362389111,
      0.39595045492714,
      0.434334765950537,
      0.460452906547364,
      0.470619642145688,
      0.461998805898968,
      0.445802837408284,
      0.436568926863605,
      0.423686550552371,
      0.398904284738723,
      0.385245872940432,
      0.40083858483292,
      0.436231053067493,
      0.448057085652954,
      0.43586295083775,
      0.439432177565298,
      0.46424301719936,
      0.493877358467923,
      0.502822307872621,
      0.470195448685011,
      0.431369887667611,
      0.42295604292041,
      0.443160079672969,
      0.48158298096976,
      0.526472867489104,
      0.579612369016762,
      0.625838532886855,
      0.633535754276127,
      0.611732994492608,
      0.569602326553021,
      0.519095016364952,
      0.489502301106738,
      0.499692185553405,
      0.533663343905798,
      0.540452349052528,
      0.519736033104868,
      0.511968015981429,
      0.521878552081592,
      0.531054596563394,
      0.50776326727271,
      0.451303666220903,
      0.416116497172621,
      0.432101161585015,
      0.486763362755626,
      0.537774963708178,
      0.567418653299497,
      0.600874133707758,
      0.612729165421526,
      0.573632412253607,
      0.515288323725354,
      0.442814548949235,
      0.381465540388367,
      0.369122385461521,
      0.406372189023565,
      0.457698979351532,
      0.463436066754509,
      0.440483079594438,
      0.434935466652741,
      0.430896313903752,
      0.396894090376228,
      0.330086173044315,
      0.284424152247249,
      0.28856250409857,
      0.314722260487788,
      0.320166229102226,
      0.183405057598709,
      0.238474020156213,
      0.282191299849131,
      0.28072005742314,
      0.23414395890183,
      0.205342924795641,
      0.219742040840263,
      0.255203919807748,
      0.273631346377904,
      0.279306474369058,
      0.295626664684561,
      0.308425500217774,
      0.311431171768625,
      0.298590777594707,
      0.244627678661627,
      0.184977384041212,
      0.172861478173719,
      0.206138142141923,
      0.242189492658816,
      0.232203114610674,
      0.180735873992877,
      0.134272445977033,
      0.120943565444196,
      0.151584252447989,
      0.23372028053941,
      0.3444879388534,
      0.386259397440753,
      0.340113862229039,
      0.264473994781793,
      0.200766161204244,
      0.16048434552925,
      0.145032868332426,
      0.159104274585521,
      0.202125766137854,
      0.260191373470381,
      0.289452808786465,
      0.259915660473547,
      0.2049521728167,
      0.15219846601019,
      0.122433333508763,
      0.122450282981893,
      0.161608698312594,
      0.255952567818132,
      0.381118135596213,
      0.464544318320438,
      0.490488019450066,
      0.45676685920496,
      0.393047965281442,
      0.346727333846265,
      0.303265852456201,
      0.253443484194345,
      0.231232594571574,
      0.262935670283489,
      0.335770049987159,
      0.405142671119001,
      0.460284074058778,
      0.497461257493014,
      0.478140729738195,
      0.437111343648746,
      0.412357790512209,
      0.390887311307754,
      0.376698032748242,
      0.406350742290408,
      0.476233993169438,
      0.505858539150188,
      0.430235104782419,
      0.321540033416961,
      0.252148039421525,
      0.231384238273328,
      0.235503129036051,
      0.248028450205182,
      0.250913805435972,
      0.226524424607521,
      0.194067273851559,
      0.182162505223813,
      0.191191836249517,
      0.194153932449027,
      0.174451342162901,
      0.158433060459565,
      0.158437640698685,
      0.165605171679858,
      0.176536999067231,
      0.198935659398345,
      0.244313933553316,
      0.318899078810021,
      0.380586059381471,
      0.386981983416496,
      0.374889153944767,
      0.367598605433179,
      0.353733215807704,
      0.327120381842914,
      0.316419369327412,
      0.344751639860305,
      0.404187890190493,
      0.467274719215147,
      0.487077875200378,
      0.444364237993357,
      0.38658328214068,
      0.350875225298612,
      0.346230232948829,
      0.355649245807637,
      0.333601449671508,
      0.278592466374982,
      0.258439083096683,
      0.306320967116014,
      0.409148620718511,
      0.467143546537043,
      0.431936773151851,
      0.419442972568839,
      0.46700981681822,
      0.554038956470158,
      0.601750491858489,
      0.597277954846198,
      0.599056974280878,
      0.614267243462564,
      0.613672269455307,
      0.577314833910378,
      0.521464117126666,
      0.484978261503692,
      0.497777290529151,
      0.558416368266297,
      0.61092383940779,
      0.595096959123503,
      0.529121087126866,
      0.456265020342188,
      0.404343965365756,
      0.389571694746931,
      0.416193856971392,
      0.45715696840199,
      0.46843100415656,
      0.447518015828759,
      0.413630798811719,
      0.379088632167768,
      0.346531888408928,
      0.32972573496736,
      0.345866676545835,
      0.38785600269281,
      0.426652956610837,
      0.44216249295139,
      0.444339473889386,
      0.438907373359624,
      0.428965017424274,
      0.422506481467289,
      0.414078074873253,
      0.397231375017031,
      0.389009799798992,
      0.404789932327681,
      0.44153485503246,
      0.460497170992382,
      0.442147013346943,
      0.427110612087405,
      0.439084132073689,
      0.468262388338825,
      0.474710168090984,
      0.44227288523106,
      0.4217582942518,
      0.429145732305308,
      0.450116406685761,
      0.478770451800847,
      0.514677725372489,
      0.560588398369361,
      0.599302860724438,
      0.60852413921287,
      0.595148815373217,
      0.559211064262256,
      0.510020803410319,
      0.480745326197497,
      0.48910658374736,
      0.514496545436626,
      0.513079864824915,
      0.496489226322773,
      0.496320727081956,
      0.504192137278933,
      0.510017826897087,
      0.495892312026115,
      0.447286265273215,
      0.405045957826049,
      0.409034044251084,
      0.461635542850978,
      0.522232454951846,
      0.55870450641271,
      0.588297455796625,
      0.59097111454156,
      0.544790912330951,
      0.488124903637877,
      0.426717720673158,
      0.372031803614465,
      0.35680015238745,
      0.385533778726286,
      0.427245487086139,
      0.429202871049578,
      0.411555678115806,
      0.412924850604553,
      0.410234329291919,
      0.378112064168641,
      0.3185684370058,
      0.274404112304009,
      0.271138396113265,
      0.290841276677078,
      0.296997872037934,
      0.211871510824699,
      0.261243004274372,
      0.292044286659679,
      0.279774892346578,
      0.227315281564481,
      0.198184727692684,
      0.220291424342971,
      0.275625785002623,
      0.318435683821843,
      0.334668318771316,
      0.349390581806386,
      0.350064789899994,
      0.332368628015517,
      0.304305568409263,
      0.251426642684767,
      0.204367927486378,
      0.201543149652831,
      0.236294137856724,
      0.273501196324352,
      0.276973987904314,
      0.254838178256398,
      0.236857999282996,
      0.245768731452701,
      0.298266064424299,
      0.383884154179584,
      0.444356903097221,
      0.414283415653643,
      0.351530925893731,
      0.301080272830552,
      0.26548356067016,
      0.242035294640085,
      0.227862290688731,
      0.226510446483767,
      0.240925462136897,
      0.27015435414238,
      0.297307613530557,
      0.294660367441741,
      0.267639066973426,
      0.226503089524411,
      0.190304129393563,
      0.175837641200472,
      0.197054983618216,
      0.271446356798398,
      0.380123109594626,
      0.462418130883112,
      0.49822928454232,
      0.465435588127763,
      0.396211432621822,
      0.356827935600659,
      0.328286896899859,
      0.288574752560406,
      0.26779440448629,
      0.297218981178456,
      0.368986149323586,
      0.440473311188141,
      0.498118524799422,
      0.528667158911574,
      0.49395885704889,
      0.441500409057051,
      0.415779386520718,
      0.406448567623757,
      0.410036389602349,
      0.449853308361106,
      0.517943309740115,
      0.538779896123013,
      0.454774870414734,
      0.338281862704663,
      0.26547878272428,
      0.260260766609903,
      0.288314470315856,
      0.303033740253134,
      0.288007732706984,
      0.258975646588305,
      0.24666544705661,
      0.253923090574139,
      0.268364239697181,
      0.27075993801574,
      0.252381247827253,
      0.237911890406975,
      0.239510669265152,
      0.242348396249926,
      0.234973010781785,
      0.233983488791413,
      0.263686363989718,
      0.328955787428384,
      0.379636435488202,
      0.391259689930001,
      0.401369674369211,
      0.411219019601422,
      0.401221285019565,
      0.380117971167005,
      0.368322902305143,
      0.370005088318302,
      0.399032169834737,
      0.463055253504746,
      0.515780321055214,
      0.495072680223697,
      0.432203523647424,
      0.379201143561661,
      0.351700735550013,
      0.347220453320483,
      0.342477832688405,
      0.315598953043121,
      0.298048537062731,
      0.323994233365636,
      0.400262268909166,
      0.457961034800029,
      0.44130876471139,
      0.436919356134543,
      0.482683070190736,
      0.564128383344572,
      0.602273349786214,
      0.578754605306964,
      0.563041181471082,
      0.576036034149229,
      0.588159934846096,
      0.568399521088431,
      0.523404237531819,
      0.486948589097428,
      0.489571441259516,
      0.54164532107358,
      0.598782905013614,
      0.591087238151052,
      0.523046651231396,
      0.444335994481521,
      0.395071380961547,
      0.39611381192954,
      0.440903562854171,
      0.482021364582529,
      0.480180742065287,
      0.456318835809692,
      0.43328175123452,
      0.413990991161765,
      0.397186881951684,
      0.390059346381332,
      0.406198664179851,
      0.445188282484091,
      0.483953833001353,
      0.499002529298121,
      0.493923641080838,
      0.477502515436377,
      0.459089093178515,
      0.448821574781686,
      0.437396870666348,
      0.414727757268325,
      0.403989363546609,
      0.426618224094593,
      0.472470561173031,
      0.490279344224399,
      0.464696325753335,
      0.444785066379923,
      0.452434732989791,
      0.476656669851134,
      0.481593889367936,
      0.453458811097074,
      0.436901822900203,
      0.446199644367625,
      0.470729613585326,
      0.50668077321555,
      0.54843684974682,
      0.587729829194822,
      0.614240174971596,
      0.61504263751539,
      0.601898931018109,
      0.572572997503218,
      0.530332380398781,
      0.507086400809383,
      0.521143080852045,
      0.550675460305162,
      0.550967887276349,
      0.531189122638517,
      0.521639168882229,
      0.517429042740298,
      0.518884863090627,
      0.506001122048595,
      0.450612345331091,
      0.396886544364882,
      0.397367002593831,
      0.464809547781844,
      0.548964732223941,
      0.587397932773682,
      0.594557403268415,
      0.581222473870825,
      0.549560797170928,
      0.518510297434698,
      0.46749553445241,
      0.40527180163756,
      0.375562665979253,
      0.392094527782945,
      0.435384951645776,
      0.454551821340661,
      0.446073713110252,
      0.439885136080073,
      0.42631443990884,
      0.398177408711077,
      0.35773365033962,
      0.323738336472653,
      0.310914258819614,
      0.312257287493539,
      0.306420638085808,
      0.254287154995958,
      0.300247806846178,
      0.31957551867809,
      0.30121528577139,
      0.250725249720698,
      0.218259866134276,
      0.229005377401262,
      0.281150956676278,
      0.345347660109676,
      0.386916519774563,
      0.405262327884196,
      0.39171377032922,
      0.364053602176575,
      0.341338226474955,
      0.303304226338625,
      0.270267130783212,
      0.277160964814813,
      0.320198376691328,
      0.372169730653281,
      0.408991237731373,
      0.443757169974542,
      0.488447744659332,
      0.547048873381923,
      0.625988142954781,
      0.68537785533842,
      0.637313220914686,
      0.490460135007079,
      0.3997428026643,
      0.36711608587772,
      0.350139305236317,
      0.337305160825223,
      0.322289507518485,
      0.305971791204499,
      0.2948124930675,
      0.301505892290254,
      0.327417026402534,
      0.347149080810567,
      0.351691779561595,
      0.335957491810989,
      0.309657935579345,
      0.290786793159605,
      0.294292667866494,
      0.338627637282821,
      0.41490342154364,
      0.483635066514524,
      0.527923981719814,
      0.515642066613868,
      0.455166351725225,
      0.415603667059833,
      0.397803299875611,
      0.379069173630614,
      0.375860432479861,
      0.410799874673476,
      0.475585011612569,
      0.532155888881614,
      0.570223368045231,
      0.576756380066977,
      0.524908259323017,
      0.468176418856651,
      0.44906029762824,
      0.456502894957968,
      0.477021124271827,
      0.521055833669118,
      0.576356028818753,
      0.578068214256627,
      0.489891220965624,
      0.382812339428688,
      0.315375954700471,
      0.299265816988952,
      0.310078387866033,
      0.315093085177317,
      0.304259932883266,
      0.291309272965699,
      0.290054135337406,
      0.299550948686174,
      0.32259544074015,
      0.356128072095105,
      0.375261744562276,
      0.375319367649071,
      0.374385042148305,
      0.366022118551829,
      0.341839922864258,
      0.321968037132747,
      0.328684672232067,
      0.367228604483067,
      0.404470666448275,
      0.429874570803958,
      0.463510303547833,
      0.486676961181567,
      0.472918427584812,
      0.453905210171784,
      0.460938023666196,
      0.465854781515062,
      0.461067782901387,
      0.468783446705943,
      0.487469132831803,
      0.489382233720323,
      0.475245475991096,
      0.455739547384814,
      0.430107586294585,
      0.408364918041731,
      0.400264957074207,
      0.392412887602243,
      0.38387362672149,
      0.391576151294957,
      0.429722002996096,
      0.473902067217714,
      0.482116277486369,
      0.49393006045204,
      0.538415626492605,
      0.611066093975026,
      0.641426565578012,
      0.609446681737871,
      0.581040324882053,
      0.583576552920031,
      0.597029774173407,
      0.5915968968832,
      0.561827624127262,
      0.530416964415329,
      0.526523019798187,
      0.569419803022372,
      0.626188337840433,
      0.625582436175074,
      0.561054632001688,
      0.479467088884891,
      0.426466151006874,
      0.426312783865789,
      0.476680240789894,
      0.529968407823798,
      0.532082796258364,
      0.500404849858322,
      0.474241212163362,
      0.469928471496705,
      0.480401849016775,
      0.48963593489668,
      0.500071120007128,
      0.522766200858041,
      0.553420489186253,
      0.575850524928615,
      0.582652459847338,
      0.572957306609165,
      0.549875959441842,
      0.533684742243377,
      0.52656984306964,
      0.504793184105882,
      0.478949809007623,
      0.478534342887394,
      0.505783806213656,
      0.51162188778033,
      0.478008993340079,
      0.454602966278424,
      0.460152047217482,
      0.487178153971334,
      0.510309904855789,
      0.502524060107481,
      0.490568164283666,
      0.501419309650801,
      0.532280066483151,
      0.574036115481821,
      0.613724174533247,
      0.646056504019728,
      0.666816873057188,
      0.660835806242269,
      0.643955622725311,
      0.610882484929761,
      0.562985651466218,
      0.537134616383654,
      0.554845468558897,
      0.596502152846713,
      0.614896515486577,
      0.603597612479745,
      0.589516763354432,
      0.57669497307894,
      0.571473468411213,
      0.548645458135992,
      0.485048480077979,
      0.434192261101654,
      0.447689165905567,
      0.5349194690591,
      0.636148551443668,
      0.675714247602573,
      0.670552768770819,
      0.643364382529982,
      0.606317215714483,
      0.576315656624006,
      0.52614942707568,
      0.460929043145258,
      0.425653440194673,
      0.441480534963409,
      0.501330301129732,
      0.549194179735334,
      0.551270670434958,
      0.533214640505387,
      0.50738681369728,
      0.486435653128645,
      0.463614046737694,
      0.432685413263224,
      0.406936667290238,
      0.395787857968565,
      0.391632864211968,
      0.275546637685629,
      0.32871460625076,
      0.358033985923083,
      0.345730430965451,
      0.291479019266954,
      0.250346232122068,
      0.25434748114354,
      0.304484167042102,
      0.367141846810345,
      0.407615461178316,
      0.43352084971805,
      0.441522719759202,
      0.433807777156699,
      0.411886402585171,
      0.366656581168571,
      0.333439873814422,
      0.345272474889154,
      0.393359846836031,
      0.447937268210858,
      0.493210441389034,
      0.562685307020492,
      0.659870957617207,
      0.738268365617417,
      0.769327310274541,
      0.734867885902132,
      0.642199729528771,
      0.535754170558322,
      0.460547481744323,
      0.398702485014307,
      0.356553774664138,
      0.340143677392523,
      0.33672681003977,
      0.334119912017657,
      0.333874590095962,
      0.358113441865376,
      0.405978982795923,
      0.427798650655866,
      0.40602228657535,
      0.365029771816213,
      0.343084518430466,
      0.349124337070455,
      0.381061127724127,
      0.439324828760051,
      0.504120674857755,
      0.552282897847107,
      0.584113545820503,
      0.577329946091285,
      0.535094871361773,
      0.501143778276871,
      0.478972271823166,
      0.463430600330136,
      0.470964179374796,
      0.507795510986918,
      0.556864163170035,
      0.594575318281733,
      0.620994527585863,
      0.616309060472203,
      0.560421779736779,
      0.508350348568125,
      0.493926710997171,
      0.49903079565216,
      0.510529667517746,
      0.543237738940231,
      0.589596634471122,
      0.60595972947734,
      0.566895148659977,
      0.49884861118939,
      0.42749734057112,
      0.372188110845157,
      0.344512526138923,
      0.336472993231287,
      0.341586161175691,
      0.364560731111091,
      0.384891098261544,
      0.391023819745429,
      0.398369836663076,
      0.419812780913507,
      0.445946914212705,
      0.457262545990511,
      0.452147672574894,
      0.432611863701192,
      0.4077064090732,
      0.395359862528218,
      0.403383184407733,
      0.435404867640973,
      0.474793734722034,
      0.494304740792377,
      0.499730529492004,
      0.499486735970578,
      0.495410589052808,
      0.50398742658282,
      0.524848255671544,
      0.529343386263573,
      0.513135029333502,
      0.4913771338327,
      0.480712817235711,
      0.496468661647305,
      0.532258076333473,
      0.557643048537837,
      0.54808739372582,
      0.513304698495542,
      0.476099888205695,
      0.446430959307319,
      0.431072770705323,
      0.434326399133587,
      0.463007139783973,
      0.517140725478122,
      0.559956372710693,
      0.589359473758165,
      0.619225863283076,
      0.657111991035193,
      0.671862756229636,
      0.646801801275229,
      0.624982917022435,
      0.632623991543152,
      0.648354303991293,
      0.635970841450855,
      0.59655637590548,
      0.567506383570422,
      0.573395182694595,
      0.613216936920603,
      0.654841341564109,
      0.656993903589907,
      0.61365584421081,
      0.549021131876769,
      0.502794026996324,
      0.494930595946194,
      0.522914673877354,
      0.558026641699898,
      0.564850214632195,
      0.550055134541935,
      0.533617607626925,
      0.531960669527844,
      0.539027787457232,
      0.541678854154274,
      0.550618761794633,
      0.578675589550279,
      0.619384455937692,
      0.654380103656152,
      0.686876298685916,
      0.709373643161501,
      0.694399182825607,
      0.652432886570937,
      0.619234211541052,
      0.59117473260065,
      0.554612317371948,
      0.522663811860584,
      0.51518193084784,
      0.514244992970083,
      0.491566642754393,
      0.477709933707395,
      0.493463148764942,
      0.533476072555316,
      0.571064850629243,
      0.571707377366181,
      0.55575505034279,
      0.555270183176565,
      0.571360593199268,
      0.603121880244543,
      0.648453205988011,
      0.690389237099062,
      0.704731852494321,
      0.68467228940093,
      0.666360917010321,
      0.649487934994345,
      0.621336485281097,
      0.604193280698839,
      0.615992396323074,
      0.645783660474618,
      0.660238894125094,
      0.657253698322501,
      0.657683258056585,
      0.657897835310563,
      0.658919404802395,
      0.641780684804081,
      0.595041083919647,
      0.563585577824453,
      0.581016623301799,
      0.640064275621451,
      0.693505568994371,
      0.714910697016179,
      0.728873095047323,
      0.72193595540639,
      0.682012401290747,
      0.640410975028871,
      0.585147834486917,
      0.517903292182553,
      0.48220905577344,
      0.506589485727556,
      0.594064046091541,
      0.679483686750185,
      0.694444338027024,
      0.660267062524275,
      0.617149778872108,
      0.601111984739466,
      0.592832078581204,
      0.560906640078054,
      0.523817769475072,
      0.513471114958513,
      0.534739738936265,
      0.2554927984462,
      0.313146755516342,
      0.353447943656181,
      0.355779656430959,
      0.322706636434546,
      0.302512342030693,
      0.313464974860734,
      0.340703365893755,
      0.355981945963139,
      0.371567128155701,
      0.411148741459103,
      0.444973883914105,
      0.449421239955156,
      0.430775079808376,
      0.3977874780567,
      0.375448502209517,
      0.381668446877634,
      0.41171545724205,
      0.442479779577068,
      0.450450752516914,
      0.444092127021524,
      0.448267069598815,
      0.459217026085771,
      0.460294454604218,
      0.451018458800662,
      0.46566503488995,
      0.495311631050252,
      0.461963271754452,
      0.376965839297394,
      0.318757678873215,
      0.307137778292486,
      0.318084195869414,
      0.328012038214395,
      0.337190135677235,
      0.370855889164598,
      0.424988835489945,
      0.448165022510374,
      0.420605887208726,
      0.363283787038954,
      0.327425851359674,
      0.332511693965894,
      0.374506501601149,
      0.443269816528253,
      0.508738888607508,
      0.55409597884903,
      0.591778519134736,
      0.597971535559841,
      0.57154692476479,
      0.540627597547353,
      0.506035403147012,
      0.47782645032869,
      0.475961977521789,
      0.501621936692115,
      0.541575282936799,
      0.578365931981806,
      0.607425673605444,
      0.607340196062876,
      0.563318681962328,
      0.523639696814295,
      0.511286705988345,
      0.511823108196003,
      0.52368583293701,
      0.559894552657929,
      0.606587256045842,
      0.622132182628058,
      0.587452509078577,
      0.529617526994251,
      0.473731335351093,
      0.43074979834999,
      0.396576940146146,
      0.368031601984566,
      0.35632196360376,
      0.376493914044584,
      0.396286309903559,
      0.392809990699164,
      0.377037127250627,
      0.379124735810907,
      0.425537895861747,
      0.473422274758042,
      0.481130722917899,
      0.452143710958673,
      0.414351043126848,
      0.39068346093543,
      0.388167219627282,
      0.420267368035357,
      0.468212834316171,
      0.479438756390689,
      0.47106031081803,
      0.478411038992587,
      0.505171549714629,
      0.520117570176753,
      0.50701504712986,
      0.486718359270496,
      0.479337628779905,
      0.47926036617855,
      0.482040686227089,
      0.500256266101742,
      0.528014688674992,
      0.537882779821768,
      0.523537810776937,
      0.503893558090186,
      0.474712199326062,
      0.432120591105906,
      0.409998056063423,
      0.423139939416361,
      0.464698421570367,
      0.507936069622274,
      0.530223607108158,
      0.553962884610224,
      0.594000762609486,
      0.658465317013107,
      0.703378335536151,
      0.692932640912845,
      0.668461458367094,
      0.664580384365637,
      0.670286553017609,
      0.651917822482204,
      0.608882101732835,
      0.577602698216751,
      0.583955097539616,
      0.622306620584486,
      0.660767601755045,
      0.664437314363217,
      0.618238674889028,
      0.548364830721228,
      0.505190320851232,
      0.509092681650393,
      0.544019153780389,
      0.572897444651363,
      0.579300017621678,
      0.573526069552643,
      0.565681249505604,
      0.5689671124886,
      0.570867095084815,
      0.560148619095007,
      0.558960718786306,
      0.58817593891138,
      0.633309361139875,
      0.659709562772429,
      0.671620983662864,
      0.682731367148193,
      0.682218743045491,
      0.654721799231729,
      0.601522375818104,
      0.545256557399828,
      0.506756091931933,
      0.491559513490213,
      0.494433267128932,
      0.491331425133419,
      0.475493239054999,
      0.47213777586411,
      0.495150359285438,
      0.53783616070625,
      0.577215081783287,
      0.581537139812833,
      0.562487142002345,
      0.551518977860629,
      0.558668424046959,
      0.591954009044507,
      0.647957008683241,
      0.695591924212296,
      0.711169114403249,
      0.693283341744283,
      0.676773173416515,
      0.666569847693842,
      0.650753694393842,
      0.639933362107578,
      0.646439249728662,
      0.666503031012763,
      0.669660319673966,
      0.65489759219434,
      0.64936111992227,
      0.651212852053406,
      0.656276693436476,
      0.653157763517576,
      0.635301918134355,
      0.627648779272564,
      0.641026397975622,
      0.659190754637914,
      0.660618168893557,
      0.664256598485315,
      0.690598049762083,
      0.701021785660761,
      0.679287644089439,
      0.656040893019273,
      0.608914089956812,
      0.543343160327897,
      0.510894899837778,
      0.538040504315771,
      0.620515694870604,
      0.693645404334069,
      0.698266581795862,
      0.662042833451541,
      0.628000532784495,
      0.61660915129142,
      0.599388675117511,
      0.564366241118318,
      0.544692677864261,
      0.562821970397956,
      0.600770304119296,
      0.19958542754627,
      0.260414572665981,
      0.313799680893503,
      0.340342923990017,
      0.346654085546789,
      0.359997803795794,
      0.374351403062697,
      0.361079266924598,
      0.322052734696611,
      0.324219404688685,
      0.371085347529796,
      0.393153016000271,
      0.375814241417196,
      0.349345762773991,
      0.319809500150389,
      0.301436633843696,
      0.312734051285374,
      0.349717152575858,
      0.383725962095433,
      0.376147854845198,
      0.314067415738739,
      0.24104311035289,
      0.203316391027912,
      0.210442605084492,
      0.261512592366932,
      0.352621429738746,
      0.417343447668633,
      0.382426030051883,
      0.294352254617083,
      0.237472213081127,
      0.226960974709957,
      0.238070875614706,
      0.249766655459062,
      0.26550868490892,
      0.308307457035413,
      0.366750575381699,
      0.394425976143276,
      0.373380944942401,
      0.307661323335372,
      0.250187015103019,
      0.234492022113574,
      0.264459421794394,
      0.335471884923956,
      0.419407511108595,
      0.488022118523327,
      0.544284689123541,
      0.560210592021852,
      0.531596848290055,
      0.493420723262096,
      0.452356707355035,
      0.421997621913293,
      0.42469386529019,
      0.459239688614786,
      0.506447657788801,
      0.543026684773456,
      0.566293509012461,
      0.561114811443003,
      0.519688018423073,
      0.488095953208887,
      0.479428646427525,
      0.475372821690597,
      0.483542246168105,
      0.521763176924901,
      0.573086105234577,
      0.581345969970335,
      0.514159014301982,
      0.430173992457602,
      0.384216403596271,
      0.375582862954035,
      0.363662065818986,
      0.332297775752371,
      0.29999379046349,
      0.292519456994346,
      0.298539622087581,
      0.298683240839288,
      0.293298613735479,
      0.30562584725127,
      0.361222706129038,
      0.414128634418994,
      0.420542407588854,
      0.388864123241027,
      0.355627793533812,
      0.344727737313303,
      0.356889298803746,
      0.390716150538153,
      0.418155473725307,
      0.41577296575887,
      0.414826734026416,
      0.429792616149975,
      0.448786121901781,
      0.441212911489066,
      0.409676503193617,
      0.393678205953789,
      0.415629526401243,
      0.45568370437219,
      0.477162366298092,
      0.471001660770858,
      0.450610772965398,
      0.418570935248805,
      0.393426119533399,
      0.399330003885309,
      0.407737066614716,
      0.381942021226734,
      0.360069365693511,
      0.374771393989455,
      0.423061509319294,
      0.452754591125746,
      0.44536025849301,
      0.461501891754554,
      0.528182318209539,
      0.637383070152578,
      0.700171320389195,
      0.681355451003583,
      0.646498910046598,
      0.629463993821305,
      0.620874977511969,
      0.598352074972715,
      0.560147074136952,
      0.530833983479815,
      0.537797367059462,
      0.586498353459989,
      0.63786092431015,
      0.632311878074885,
      0.560576283552939,
      0.474021244333537,
      0.43054719625713,
      0.448984959883152,
      0.503478343351987,
      0.540201334203623,
      0.542925324291633,
      0.536780817964303,
      0.537021702757683,
      0.543290811618097,
      0.538040280950258,
      0.522137671516079,
      0.520768344686928,
      0.544856815328519,
      0.573532463148426,
      0.584659673943041,
      0.58074470450458,
      0.570929127167971,
      0.571803119229897,
      0.574506922088517,
      0.540579548610697,
      0.476653399651547,
      0.434184334112817,
      0.436662227161189,
      0.467641306073688,
      0.479054501577449,
      0.467913667638457,
      0.463892688327582,
      0.472863912921536,
      0.495949873035068,
      0.530066506622788,
      0.538614695756882,
      0.512924155684819,
      0.494582395037205,
      0.505476630711578,
      0.546403452548229,
      0.597911861652272,
      0.641598651028026,
      0.680098234648876,
      0.694251360471959,
      0.676063886035545,
      0.6308196167249,
      0.58974806645129,
      0.580853282950052,
      0.604430022816078,
      0.636196877185799,
      0.630733327986728,
      0.599412060845131,
      0.582741053308174,
      0.57846747265741,
      0.572931497324871,
      0.55193188766746,
      0.518349759986711,
      0.506561061085563,
      0.528889498200747,
      0.568559085211473,
      0.592894407995933,
      0.6013970640385,
      0.619448154749881,
      0.622193177708204,
      0.601349661592439,
      0.585167015228886,
      0.543524290699397,
      0.483961486920817,
      0.457988602987514,
      0.483082776495098,
      0.537188267426902,
      0.559920532587743,
      0.542907800442955,
      0.527498538941166,
      0.520431896668625,
      0.502710708332936,
      0.454260925928792,
      0.410247393275579,
      0.412676298339769,
      0.453204292795818,
      0.484782158223252,
      0.165045614898805,
      0.231897143861915,
      0.296446750788304,
      0.324264388814773,
      0.307718505742545,
      0.292007377273892,
      0.296599020615227,
      0.302516240372042,
      0.291687423549745,
      0.291716774817711,
      0.309521801191251,
      0.312407126777962,
      0.300657206419888,
      0.287042634834474,
      0.262534912764979,
      0.245662739094573,
      0.257905366306804,
      0.287949380197588,
      0.306264390425207,
      0.288708500534596,
      0.229651402596658,
      0.159543023226324,
      0.121670424400967,
      0.133438570671981,
      0.201757650548794,
      0.315699709166047,
      0.394794458041462,
      0.369631386512688,
      0.278052076745242,
      0.197480655411067,
      0.155285850129629,
      0.144435968489083,
      0.155429535327436,
      0.188966065140374,
      0.251339912031642,
      0.310825929056479,
      0.315042915139268,
      0.268638894121966,
      0.199467350880614,
      0.1526359664423,
      0.146570421985644,
      0.184597029723893,
      0.269844150213774,
      0.37455855891568,
      0.452283261607843,
      0.493945541619503,
      0.479360982928921,
      0.42845134174144,
      0.384430126180479,
      0.342632271459958,
      0.309816351283498,
      0.316291980908855,
      0.3677404682427,
      0.436463033122015,
      0.483158463134783,
      0.507972730641069,
      0.508018064895789,
      0.467337172507179,
      0.427988029105197,
      0.410747802287631,
      0.403019816122913,
      0.414783328942293,
      0.460261184530321,
      0.522173730269598,
      0.537825157901255,
      0.463138393073956,
      0.367638141944282,
      0.32075235948821,
      0.320189690318662,
      0.317639213142347,
      0.293313218833868,
      0.259968514166631,
      0.234740146544377,
      0.223979041035817,
      0.225691779001191,
      0.235847928186779,
      0.247625589568076,
      0.25730990761287,
      0.2619819132226,
      0.258648662086242,
      0.245404829679362,
      0.238810611328138,
      0.255921066140098,
      0.297630615346007,
      0.350836151780784,
      0.379446982070035,
      0.380488121530448,
      0.385764567229751,
      0.391458774803637,
      0.383511296961273,
      0.359749144468865,
      0.341263180170072,
      0.349671531760987,
      0.387910356647384,
      0.436488164532558,
      0.457082916301625,
      0.434603907112538,
      0.393644285479465,
      0.35393026581275,
      0.335281485156767,
      0.34436839409858,
      0.346191191951148,
      0.321447515074915,
      0.313512194862987,
      0.345526854924805,
      0.406864056948109,
      0.434780170350874,
      0.412559704774163,
      0.417892880275948,
      0.480038156361716,
      0.582508469462756,
      0.634297504682161,
      0.616638023299452,
      0.596758814706927,
      0.591387082692901,
      0.578439698792235,
      0.544478886945963,
      0.502510561507672,
      0.479231219627111,
      0.496371431253899,
      0.553852739707881,
      0.60660235135842,
      0.597163280021784,
      0.526620547726251,
      0.443121344715014,
      0.394902491766859,
      0.401301985341622,
      0.447448748924287,
      0.488147467839523,
      0.498701934779089,
      0.495618916971161,
      0.492807707267487,
      0.486968282577092,
      0.465136982483371,
      0.442344452355386,
      0.445833314034695,
      0.472117083995918,
      0.493027544386578,
      0.497969372235174,
      0.492953321595302,
      0.475301048441218,
      0.465295255775577,
      0.471179249577001,
      0.459949573204913,
      0.426019393000491,
      0.410492024787439,
      0.43360839697682,
      0.468743016040118,
      0.463705658192209,
      0.442407344636373,
      0.444748437834092,
      0.46557365988483,
      0.489761431819779,
      0.502743181346274,
      0.485753459188769,
      0.452018722023421,
      0.435689756186129,
      0.446740391518595,
      0.48114419821171,
      0.523965489464753,
      0.56808921313914,
      0.612546666321621,
      0.634974916039171,
      0.627056804071321,
      0.587821119737501,
      0.542706420361547,
      0.525385397423804,
      0.544510594046222,
      0.579103423628838,
      0.583288844020453,
      0.560416651994444,
      0.542616998021232,
      0.529364546523656,
      0.516411631668836,
      0.486720592798746,
      0.435911088562228,
      0.409478417514531,
      0.432278380711108,
      0.486949401743937,
      0.528458006735269,
      0.547313919386381,
      0.574535338857599,
      0.585007826057488,
      0.561791788416484,
      0.533110175966125,
      0.477395551295617,
      0.412210495074028,
      0.390121041919152,
      0.420770677694475,
      0.46976489452702,
      0.475490299823565,
      0.450950157509112,
      0.436945513851819,
      0.422956848046728,
      0.389660486817358,
      0.33011989431224,
      0.281854788795379,
      0.27760537311564,
      0.303991218149382,
      0.320682311767655,
      0.169175094613064,
      0.227867553698167,
      0.279491374269699,
      0.285161208500687,
      0.236740325642273,
      0.199207407411709,
      0.2050903372216,
      0.236983538373573,
      0.255059005380197,
      0.258713248612205,
      0.269749636901162,
      0.27798188864806,
      0.280232614732817,
      0.273254789601414,
      0.242635143122595,
      0.215337481061814,
      0.218689826484299,
      0.24110250469406,
      0.252347784400675,
      0.229735490622403,
      0.178566735452586,
      0.128445322459678,
      0.109818544303148,
      0.1357225307844,
      0.214624914194402,
      0.334984424406099,
      0.405217010634323,
      0.363601107427792,
      0.262900651197632,
      0.178719275907183,
      0.132949685185001,
      0.118498663702904,
      0.128846809408502,
      0.165706721971239,
      0.23113528317783,
      0.28585826111589,
      0.270924638098363,
      0.207803896969752,
      0.143892907221138,
      0.112565216715087,
      0.117370268921863,
      0.159745319287372,
      0.247850400094577,
      0.357029651213333,
      0.433292446917167,
      0.462035744787473,
      0.431430476099621,
      0.375151706942793,
      0.333927582710251,
      0.293447166677197,
      0.252464615084654,
      0.244678015768237,
      0.287633966560784,
      0.360875671924666,
      0.422979239288573,
      0.467025246235388,
      0.48429958022461,
      0.443407162175493,
      0.392863235661228,
      0.372628805651666,
      0.373242970981617,
      0.388839029561239,
      0.428128545690353,
      0.488401335642284,
      0.510475266790507,
      0.439973907366531,
      0.340888626072513,
      0.280679657040269,
      0.262529191018192,
      0.262237457179533,
      0.268921453330585,
      0.266866450358221,
      0.240380634843075,
      0.210812302731682,
      0.204097762781734,
      0.213622676550349,
      0.209880453725024,
      0.181841106511098,
      0.160953654441249,
      0.158165044705429,
      0.160384838478802,
      0.167494806759075,
      0.190042251972992,
      0.235220212774293,
      0.300439339810376,
      0.351141562452971,
      0.368370235481578,
      0.380015638144734,
      0.387369744179865,
      0.373529838415567,
      0.346289409908284,
      0.342158575452222,
      0.371121900333976,
      0.417641685459625,
      0.458703865003825,
      0.46047385099855,
      0.41648399675925,
      0.3659852965534,
      0.338670720921667,
      0.340707635475234,
      0.350852994208147,
      0.326846163310074,
      0.282832493346348,
      0.282664178768643,
      0.337920862824615,
      0.423731571415276,
      0.453593093945586,
      0.412566457017281,
      0.404978388110294,
      0.456943027966173,
      0.543774245352303,
      0.58750680120258,
      0.581813520663609,
      0.578969028879714,
      0.583659731353258,
      0.572912320491938,
      0.537777621664244,
      0.49037907911492,
      0.456371915739817,
      0.463373004559076,
      0.519035806551387,
      0.579116542307126,
      0.584427934017065,
      0.537472345401843,
      0.470015260642549,
      0.4151260416652,
      0.397990558687219,
      0.423288086868162,
      0.459055458277029,
      0.469629691490185,
      0.457888406639273,
      0.434763465084382,
      0.405273859150273,
      0.373279670360481,
      0.358448624015149,
      0.376822197101071,
      0.414996410104551,
      0.443097565922007,
      0.452086936641613,
      0.453928550996421,
      0.442541683704044,
      0.425127078414208,
      0.416252552075345,
      0.406301994613102,
      0.394235951878765,
      0.402485215579874,
      0.439491493186866,
      0.476417141692585,
      0.461094542460441,
      0.425488386330717,
      0.423265831290375,
      0.455149598388616,
      0.492767867271469,
      0.495317345318928,
      0.45314579688412,
      0.408580107970955,
      0.392009524010979,
      0.403511668461386,
      0.439583694813542,
      0.487193932069624,
      0.531383340434887,
      0.569419168533233,
      0.586150370678193,
      0.581105581742812,
      0.555770748502401,
      0.520136846496406,
      0.500332183725668,
      0.511325467775521,
      0.539159114739016,
      0.540939671679713,
      0.517283222790333,
      0.500068683319237,
      0.486358153636045,
      0.474798376125351,
      0.453505729556795,
      0.409484617629382,
      0.37992229997553,
      0.395779117309301,
      0.448832752778005,
      0.496270648716203,
      0.521905334101267,
      0.552760077775746,
      0.565395592695785,
      0.536605033588985,
      0.493732838988356,
      0.426346377720311,
      0.358045323151584,
      0.339215564587973,
      0.376363295538025,
      0.433685259501787,
      0.446311465573434,
      0.424105524587194,
      0.409279265981971,
      0.390961096220324,
      0.353212448758322,
      0.294799899669257,
      0.249227521144429,
      0.241154147277881,
      0.255675076703485,
      0.260016700208034,
      0.229861320082401,
      0.268311833464105,
      0.288299019668723,
      0.272770035057582,
      0.220123806088299,
      0.182903361904821,
      0.188625742114287,
      0.224763842386627,
      0.248693467839546,
      0.254421575129722,
      0.276084850591648,
      0.301939134326959,
      0.312840359591016,
      0.30746169988825,
      0.270524794851526,
      0.225548128281891,
      0.211415863832248,
      0.231437401106081,
      0.256775339273488,
      0.244269916875927,
      0.196381964292157,
      0.157894643975643,
      0.162186408388802,
      0.217775826304197,
      0.31557359418973,
      0.41887373661295,
      0.442499843988496,
      0.372323031417919,
      0.266031849677678,
      0.185984312356222,
      0.145572201297169,
      0.132748188914616,
      0.140951583739162,
      0.173241070294716,
      0.230142999482925,
      0.278714519897337,
      0.270541754552716,
      0.219096963888863,
      0.157100617722544,
      0.117323640169833,
      0.112395874666536,
      0.14819431543937,
      0.235806407158975,
      0.351476222477457,
      0.434427770674685,
      0.469220562562888,
      0.442610745248558,
      0.386267851238008,
      0.349316884530917,
      0.314902472468801,
      0.270243491411338,
      0.24698047480444,
      0.271794293570675,
      0.334268165879027,
      0.399089566516596,
      0.456650437122201,
      0.487385228675319,
      0.45048778176307,
      0.399953786499415,
      0.386334158060729,
      0.392739587500666,
      0.39691990332484,
      0.418762285376708,
      0.470347345097955,
      0.493111051727774,
      0.424905262816025,
      0.322254004687178,
      0.248592413226069,
      0.217378063312252,
      0.227234027387078,
      0.262765880372406,
      0.287688803307974,
      0.27599199194502,
      0.245511926028591,
      0.226432428681316,
      0.219208822031762,
      0.205480521970565,
      0.177460558483228,
      0.153283447574653,
      0.148209513175373,
      0.155927370314312,
      0.166029295825158,
      0.181387310010325,
      0.213913850471495,
      0.277176831457485,
      0.348847030636324,
      0.389596631989131,
      0.410648705304913,
      0.418814002967536,
      0.404882016366927,
      0.382647363438104,
      0.384200466441491,
      0.413687280230246,
      0.458988012520951,
      0.498514521029431,
      0.49690849227373,
      0.447902208124849,
      0.396078666561341,
      0.37213847484545,
      0.371488088311462,
      0.364955197630529,
      0.319065597265829,
      0.267474468869694,
      0.271355463819992,
      0.332867180866769,
      0.431056243093132,
      0.477375228501267,
      0.43961224776816,
      0.425115526155997,
      0.467095949233004,
      0.549200182834281,
      0.608900225177058,
      0.62642370274674,
      0.630526321750643,
      0.626331609697678,
      0.603726184892425,
      0.560942636674282,
      0.507711875272575,
      0.46799212518688,
      0.467490606881004,
      0.512158050714889,
      0.56503794138841,
      0.575201108750922,
      0.543129560446612,
      0.489216638114778,
      0.436779420626894,
      0.409141613541523,
      0.416232896827992,
      0.438259713113618,
      0.445461049416851,
      0.433559196756994,
      0.405618413644614,
      0.370679056083034,
      0.342041524755015,
      0.334196716192491,
      0.353572701777416,
      0.39084782405533,
      0.424122226710069,
      0.442094134605382,
      0.452049597019461,
      0.446886769353169,
      0.426466048904902,
      0.40551665957538,
      0.384751432857339,
      0.369520198231402,
      0.37844867595911,
      0.419722673276753,
      0.46663989954545,
      0.456543754415279,
      0.411838113003836,
      0.397368942026254,
      0.42636747575825,
      0.473642063148781,
      0.487558522610835,
      0.446316005540773,
      0.398586916216568,
      0.385143483667022,
      0.406432738142216,
      0.456153297193274,
      0.511918469013227,
      0.54956751181562,
      0.576214187154358,
      0.583888991877149,
      0.57420030330846,
      0.547385082506684,
      0.508428843559187,
      0.483360645295488,
      0.493253782538829,
      0.528489794633827,
      0.538661478404155,
      0.514581865190635,
      0.492649909576289,
      0.475835055391252,
      0.467032425098352,
      0.455260565824672,
      0.419088167402621,
      0.388557861191824,
      0.400103446050169,
      0.456773812750205,
      0.515551674277054,
      0.542280136339193,
      0.559403526853183,
      0.557982650759502,
      0.522016716273974,
      0.477233098560005,
      0.415787246204048,
      0.353921345476624,
      0.333940521891084,
      0.365609478632967,
      0.422965736475774,
      0.446736416036751,
      0.435760743842516,
      0.423677543348924,
      0.401882418504764,
      0.363580703376753,
      0.311601733395715,
      0.271968287442421,
      0.262596916833941,
      0.269781672993343,
      0.265423644343837,
      0.327052730311002,
      0.359873481905621,
      0.366646372385829,
      0.359458007656735,
      0.323688029174674,
      0.283444581694556,
      0.273659375844317,
      0.303807491494641,
      0.333144045996901,
      0.333759701273694,
      0.345402287027089,
      0.367058242293559,
      0.375597857838981,
      0.379295853161827,
      0.368294275018835,
      0.342566769760831,
      0.32801238262682,
      0.340645436539272,
      0.36327795799852,
      0.355310764078826,
      0.331404365813604,
      0.339702581775081,
      0.395297446257871,
      0.487370978535788,
      0.575907313386788,
      0.583316149682112,
      0.485599889603446,
      0.403337703760986,
      0.344950975712152,
      0.29457734014819,
      0.262398960398895,
      0.250846078666159,
      0.255916113521159,
      0.265770401688953,
      0.275089954622054,
      0.297172692230232,
      0.324539896415664,
      0.320236559877459,
      0.267971628626308,
      0.213118259600519,
      0.189291950944719,
      0.205147577276942,
      0.271911705300827,
      0.37664181298631,
      0.467899904277552,
      0.519450614853287,
      0.506939715877424,
      0.451286553519395,
      0.412865471948801,
      0.380380389246964,
      0.334470373666227,
      0.305854898121279,
      0.325626617347611,
      0.386686891176715,
      0.451642130929606,
      0.506149519439071,
      0.52840314235625,
      0.486538595811647,
      0.440906183026687,
      0.438158868776551,
      0.448663398217356,
      0.442001101233264,
      0.452486455837964,
      0.4994653631285,
      0.526762516795032,
      0.466658535773282,
      0.365927179158742,
      0.290132473185672,
      0.255633917713974,
      0.258252529570236,
      0.287853290138553,
      0.322941008559742,
      0.341684376391217,
      0.33385839783248,
      0.31363806615859,
      0.290102983727402,
      0.262380949196402,
      0.236157763306921,
      0.21791995143062,
      0.216901462178602,
      0.228292675745444,
      0.235690339852453,
      0.241049219476982,
      0.258797367946959,
      0.306048698583334,
      0.365768775785501,
      0.405436234315887,
      0.432432790077136,
      0.452243323536411,
      0.460747872169228,
      0.470185429345088,
      0.487048858858601,
      0.497091625038942,
      0.502984244301832,
      0.511283179033268,
      0.511602946029178,
      0.488342588381134,
      0.449355255802667,
      0.411258850577637,
      0.383194837030984,
      0.363251374758791,
      0.330498591722355,
      0.2908363061326,
      0.286845785892396,
      0.333199156574609,
      0.426669056657259,
      0.494046433015184,
      0.476228308782785,
      0.463062742312763,
      0.498653119039892,
      0.581655476052269,
      0.653981157544816,
      0.676486429504008,
      0.67320007899524,
      0.653359377948349,
      0.613731254888988,
      0.564577571051881,
      0.521257729579739,
      0.498242130550135,
      0.507860098847156,
      0.552212857965615,
      0.596561205839256,
      0.598156596917108,
      0.562363603360783,
      0.506847149331564,
      0.455539137652269,
      0.434786783139019,
      0.453841802590659,
      0.479744964400531,
      0.476544953010873,
      0.455828707288248,
      0.430049607316984,
      0.406932857077514,
      0.393998314814783,
      0.394499250828122,
      0.40921169706872,
      0.441381721302277,
      0.48141625587899,
      0.504133155344928,
      0.503469293848112,
      0.48589637357931,
      0.460210842765039,
      0.440745203213481,
      0.429255825789372,
      0.418838900359892,
      0.419248686696421,
      0.449543011117838,
      0.493206774624363,
      0.478806784619554,
      0.42160331303696,
      0.397942571137994,
      0.424239501692169,
      0.475145939164491,
      0.500669786341701,
      0.46707710701306,
      0.419968586816765,
      0.409256369193902,
      0.439249305861465,
      0.504209482019019,
      0.578869864864048,
      0.628084718444736,
      0.649759527265474,
      0.633326591992136,
      0.592912415541301,
      0.548965581367508,
      0.5097014020894,
      0.489884277188709,
      0.504038001289363,
      0.544349489275523,
      0.567264048931752,
      0.560425665863588,
      0.548259870479991,
      0.532006888898675,
      0.520597025519784,
      0.498642782350372,
      0.442741822754996,
      0.397689182005088,
      0.411931684428223,
      0.487026519842498,
      0.563633655866341,
      0.591837291752641,
      0.59908141663604,
      0.587052384396173,
      0.546037914320303,
      0.504437299890129,
      0.454401564296744,
      0.401035801557948,
      0.380313618764121,
      0.406650700665994,
      0.465171402708344,
      0.503036379053696,
      0.504443891652988,
      0.491903480198923,
      0.465629630693755,
      0.439815598921401,
      0.416841439914354,
      0.394545173139271,
      0.378825630582492,
      0.364367306608747,
      0.336479856773703,
      0.376386221596968,
      0.428717594919867,
      0.44367479343011,
      0.443183695264092,
      0.413019818315409,
      0.372089134180479,
      0.356499158437502,
      0.388226986479571,
      0.432403455254893,
      0.441369458767582,
      0.445430730576496,
      0.456628887405637,
      0.464137693258049,
      0.483704239848833,
      0.511567783316789,
      0.517765584169705,
      0.506422019611584,
      0.507141415070738,
      0.530072135745682,
      0.552938938720475,
      0.58770155270154,
      0.659273756191765,
      0.734981757361006,
      0.775335509662343,
      0.755199807993618,
      0.666290111404216,
      0.557745805911816,
      0.530615605558673,
      0.531238457878179,
      0.518219976910699,
      0.518747117352595,
      0.539019806347615,
      0.548470256728519,
      0.506853087937044,
      0.427124667525991,
      0.404707753857748,
      0.481721073027395,
      0.561743169837284,
      0.565464261715603,
      0.521967145987649,
      0.477496880399874,
      0.444101978311808,
      0.439104633587168,
      0.488299907750811,
      0.56493641186959,
      0.606501689521083,
      0.585880605398506,
      0.537320317301077,
      0.517492506427819,
      0.512908017387731,
      0.498390008378969,
      0.492476970154972,
      0.517821862676582,
      0.565182934347583,
      0.604833490763704,
      0.63493946401046,
      0.638914653583341,
      0.592982366242016,
      0.547919343967706,
      0.542460248570949,
      0.546462570502029,
      0.532860445879048,
      0.540197941626081,
      0.587934269621533,
      0.625282301244366,
      0.585592390529495,
      0.501509339659208,
      0.433290180108046,
      0.405893716647831,
      0.415178509564372,
      0.454539576921954,
      0.511965395680784,
      0.546931921643772,
      0.525426135055989,
      0.475481545253333,
      0.43026495486469,
      0.404373243933644,
      0.403178294008821,
      0.429293375481039,
      0.475385273445138,
      0.509545999133134,
      0.504516530052015,
      0.481077150992112,
      0.46622518439285,
      0.470193976103187,
      0.468171303606504,
      0.461219518710316,
      0.475010054661248,
      0.511742624179788,
      0.562630907646074,
      0.615834015172342,
      0.643496752890043,
      0.625011176952791,
      0.588734197271893,
      0.570315857326126,
      0.573826987157912,
      0.578119988358157,
      0.565376673210477,
      0.537070282770988,
      0.511853898199877,
      0.508343203559175,
      0.509477397032849,
      0.478688072676073,
      0.448039143942357,
      0.457684117168971,
      0.523585738457462,
      0.598841079264266,
      0.593474974249671,
      0.56823292422862,
      0.580463911099086,
      0.643012782636047,
      0.696019999044944,
      0.696183020309232,
      0.685357381485126,
      0.676734198580865,
      0.648733487944926,
      0.60037085757379,
      0.560278022932985,
      0.549203557985779,
      0.566778234271719,
      0.606976163687979,
      0.640946789413115,
      0.637219131023055,
      0.602080422649154,
      0.554708487964711,
      0.517267111721111,
      0.510668890216269,
      0.546866990921638,
      0.590725880337646,
      0.592906585804641,
      0.572216980265524,
      0.55471371162066,
      0.54441498848702,
      0.538036841616568,
      0.536100628962425,
      0.545210034844897,
      0.575243390959531,
      0.623132806613467,
      0.646506386853083,
      0.624424080986354,
      0.589172646680257,
      0.566887819810242,
      0.560459588773923,
      0.56067970364928,
      0.5481600492523,
      0.529124156539054,
      0.535325003170299,
      0.571395199111011,
      0.569618176792003,
      0.514575600349648,
      0.483379509827869,
      0.503728831667803,
      0.557731436301506,
      0.59501418124689,
      0.556719712082699,
      0.492252898024236,
      0.475416031070402,
      0.513868461856649,
      0.59418353957857,
      0.677657372306687,
      0.717630734691154,
      0.717561752125109,
      0.681404455570801,
      0.640023155052862,
      0.607850842650242,
      0.574079350952262,
      0.549051268799227,
      0.552956849392059,
      0.590277334523268,
      0.633867850657656,
      0.659848786462829,
      0.669548311097633,
      0.659733487018867,
      0.644940194008799,
      0.614465061635127,
      0.545371820958156,
      0.487672429154343,
      0.493857261156235,
      0.567330414940036,
      0.650670613383135,
      0.685392367920435,
      0.687726134424756,
      0.661343797252444,
      0.614893016002578,
      0.592437170918945,
      0.58321890665345,
      0.552747453613142,
      0.523553041600667,
      0.527247795224954,
      0.574482053015924,
      0.631019938358685,
      0.658860542821885,
      0.657207404775864,
      0.627905164872034,
      0.606222325447163,
      0.610598986241171,
      0.616487346474879,
      0.605252020956983,
      0.574570864355645,
      0.527516153560877,
      0.325440250529429,
      0.421958405997757,
      0.467861829967222,
      0.460762135902491,
      0.423662248975191,
      0.400871438601051,
      0.407124408582778,
      0.446848278490981,
      0.499526342327624,
      0.535291639424215,
      0.558152668281973,
      0.563748722228515,
      0.548996607683903,
      0.535702690858282,
      0.549515282098156,
      0.576000452701411,
      0.58884525986624,
      0.583293439904611,
      0.584032476943748,
      0.61845836927716,
      0.65136158256239,
      0.654050164359982,
      0.630752880826287,
      0.591718081687008,
      0.554030238273628,
      0.557929879265718,
      0.601268896573534,
      0.593251896508925,
      0.532565420447703,
      0.502212320309555,
      0.52407492565097,
      0.567546679013132,
      0.591962429111977,
      0.583296245547814,
      0.567443367600603,
      0.566084131152517,
      0.586713173686608,
      0.629358274069623,
      0.674335093923338,
      0.69900581172113,
      0.701067429739793,
      0.680960961465054,
      0.651881976807336,
      0.649236124572771,
      0.673787832405761,
      0.677214381936641,
      0.659927935289227,
      0.658076037756757,
      0.688772273346342,
      0.728319622962798,
      0.748351364773972,
      0.747757346094827,
      0.739194641730825,
      0.734752800632778,
      0.737587132679652,
      0.737420899578687,
      0.710126024835939,
      0.666051609874334,
      0.650639840998552,
      0.666666309782598,
      0.671095192200913,
      0.649886027327141,
      0.649312246870752,
      0.689320109642611,
      0.722023664350924,
      0.688194676703784,
      0.619611946117901,
      0.575678848933421,
      0.580939511911783,
      0.611119251957127,
      0.634410965778317,
      0.633836187265386,
      0.608961403747112,
      0.572402538393553,
      0.544246473574772,
      0.538921714763005,
      0.577135516835884,
      0.661514183865328,
      0.733578700437378,
      0.758072376127099,
      0.747717302450683,
      0.727813009473862,
      0.719731833890359,
      0.721394473492621,
      0.709880983618516,
      0.648917911092369,
      0.577133643845434,
      0.554513090976064,
      0.584754946526508,
      0.649059541004627,
      0.696144126769311,
      0.684416040693949,
      0.638421997998494,
      0.603248844084484,
      0.596141420341056,
      0.616730832681349,
      0.649605442040951,
      0.668179781697462,
      0.661263030225212,
      0.647932393659801,
      0.658168978896909,
      0.679474798846578,
      0.661174710477299,
      0.626736346581312,
      0.621558551418978,
      0.65916036097317,
      0.690633579935737,
      0.66162798657822,
      0.63193692844106,
      0.633173097004836,
      0.668895767416489,
      0.693945588166465,
      0.680776413139454,
      0.674639878255379,
      0.696852775150862,
      0.709638452491162,
      0.673021824234033,
      0.616601453689585,
      0.594127549092387,
      0.611299323819692,
      0.642863514432299,
      0.668463843232066,
      0.671047650634194,
      0.639158570895403,
      0.602573599352667,
      0.595435261023349,
      0.6198533193584,
      0.662633450528271,
      0.696309917472631,
      0.693652741904489,
      0.676135574743717,
      0.682829434662408,
      0.716228551173316,
      0.736894373258263,
      0.724895357152406,
      0.714028281451797,
      0.735147885919365,
      0.776738152736269,
      0.78876124856187,
      0.755492738045854,
      0.718286613291444,
      0.711409442471022,
      0.726684638064974,
      0.721336345596081,
      0.670495711379055,
      0.608678469057212,
      0.584824130387434,
      0.629881979838942,
      0.695763706274695,
      0.700630744984611,
      0.682710572644794,
      0.687737833944868,
      0.724099594328485,
      0.750225032426071,
      0.68923268645999,
      0.593082903215032,
      0.558103351136929,
      0.595439568938459,
      0.6863706351387,
      0.769410132052153,
      0.780395156329575,
      0.748567235920515,
      0.706835527760549,
      0.700983212145592,
      0.722382140631325,
      0.721792229891192,
      0.700153559613607,
      0.690227283607774,
      0.713356712388042,
      0.740657871391536,
      0.742562267410393,
      0.738708937845196,
      0.737114285705379,
      0.73920474773272,
      0.737888755920668,
      0.71636252438945,
      0.691938034826415,
      0.684078114262985,
      0.700877632643752,
      0.735707745558343,
      0.764022648950813,
      0.768187814929022,
      0.735335092596816,
      0.694333245228112,
      0.695288104493595,
      0.71339062897335,
      0.69556827914516,
      0.663093959713704,
      0.660812519043021,
      0.713858970976574,
      0.782057900971584,
      0.793851510897996,
      0.757654614517496,
      0.713527750668642,
      0.703500765091823,
      0.72190879396573,
      0.731693407346785,
      0.725924005522764,
      0.715856903585863,
      0.702770712890755,
      0.2569891305723,
      0.381998283570968,
      0.471596372577572,
      0.477868112430649,
      0.427667948646433,
      0.40050316577681,
      0.407314829822695,
      0.424930264387027,
      0.442038743339337,
      0.475787095316714,
      0.522368133620004,
      0.544118811793102,
      0.523046863212938,
      0.466507963263498,
      0.40053047494072,
      0.377081259317676,
      0.402700394167163,
      0.441834236751204,
      0.471000809396882,
      0.483160397533756,
      0.444111760779988,
      0.35987925505094,
      0.289778247711154,
      0.269273698698205,
      0.303035070506037,
      0.389248421031215,
      0.460685776524772,
      0.422569594839481,
      0.330467144108363,
      0.273676663358604,
      0.264296151379512,
      0.290674735660914,
      0.343360191436796,
      0.409547316707092,
      0.480491370130849,
      0.52776416537675,
      0.510417128600927,
      0.445149772243538,
      0.382172145147847,
      0.365472312409698,
      0.396778852458443,
      0.467885501984825,
      0.561673215033937,
      0.620300100445061,
      0.629955758365176,
      0.650976863963005,
      0.674415506763415,
      0.666991279085507,
      0.635380735656103,
      0.596485932412798,
      0.579086090626985,
      0.595543469092393,
      0.627941589250645,
      0.658798069709863,
      0.676751652338058,
      0.680454374001375,
      0.670201650040792,
      0.651054914775624,
      0.64355140078678,
      0.638318646527397,
      0.62130224906753,
      0.61656998860866,
      0.639159832761861,
      0.672788210067687,
      0.67556058482142,
      0.626343320203051,
      0.57885216928938,
      0.554522666580553,
      0.522131101953092,
      0.460770871692649,
      0.400422630904066,
      0.366832957256458,
      0.361846744716346,
      0.365945451990053,
      0.374829123640698,
      0.406820051616531,
      0.483656809520113,
      0.577933645731536,
      0.61895753222962,
      0.606118037842967,
      0.577174464657859,
      0.561466194231745,
      0.564677148379475,
      0.575715853765199,
      0.581391510815964,
      0.555531031223934,
      0.509567346144842,
      0.496509808758759,
      0.530591863149422,
      0.586539093386927,
      0.600012267435671,
      0.555643829068699,
      0.50942783208646,
      0.497449101070114,
      0.518950664233185,
      0.55237788298444,
      0.56524024504451,
      0.563315594171112,
      0.562210763131479,
      0.560015477645909,
      0.55729159660889,
      0.552616513660036,
      0.542337954485066,
      0.536354443894316,
      0.544666628614118,
      0.563999116579694,
      0.546597402781139,
      0.504274565869611,
      0.50070345851579,
      0.542944125404528,
      0.621600762964186,
      0.668590379643524,
      0.658724479277195,
      0.646261152293864,
      0.662269227557198,
      0.68642627844387,
      0.67826058809878,
      0.638554727874386,
      0.602208379001815,
      0.591297234169432,
      0.610089190730511,
      0.650609911415778,
      0.663480924312815,
      0.609111914358816,
      0.538658157594546,
      0.517130560601748,
      0.547690462856124,
      0.588344606105492,
      0.603971993356317,
      0.611762773686402,
      0.634608103723349,
      0.671557313074566,
      0.713378578151193,
      0.723152415958147,
      0.689103476781842,
      0.658957158517373,
      0.669434207159479,
      0.698291156631431,
      0.703608242499146,
      0.683301883452911,
      0.658691157543108,
      0.652856800358432,
      0.651269444548822,
      0.60568730773847,
      0.529806052504569,
      0.490410546456292,
      0.513991411507734,
      0.582653769383437,
      0.634014140893018,
      0.644807850352818,
      0.651843435515577,
      0.666530917524758,
      0.687064250516603,
      0.702524924303256,
      0.678258783698673,
      0.618801902817893,
      0.577775672578334,
      0.576302559887889,
      0.6142584998254,
      0.66842443757593,
      0.699423655935031,
      0.699292472116774,
      0.670119669464408,
      0.651992086471026,
      0.665894750512549,
      0.688173557596463,
      0.703621531586648,
      0.715276451975797,
      0.724345207999348,
      0.70851341281658,
      0.673979861413675,
      0.665695550699889,
      0.685471243266591,
      0.696943788387179,
      0.679664297796542,
      0.651529522410104,
      0.640949046030768,
      0.643853267710758,
      0.652246040773098,
      0.667240637868868,
      0.688125761934857,
      0.710062757212377,
      0.709992468796994,
      0.683752134327676,
      0.661441735027614,
      0.632213889632032,
      0.599560191156432,
      0.590608323437878,
      0.618299516103496,
      0.672239023575287,
      0.697746104204124,
      0.67229650055019,
      0.647915814759142,
      0.647350195805367,
      0.641115508418512,
      0.598787066070914,
      0.564032138621517,
      0.575789387137458,
      0.61404027652935,
      0.633635113230935,
      0.191768366933377,
      0.289992881788192,
      0.377215929132966,
      0.395171914387954,
      0.349857966541979,
      0.322533265516474,
      0.329341815298412,
      0.335325318189099,
      0.321540731057722,
      0.327260250016807,
      0.36428103387095,
      0.392970658944353,
      0.394221970368291,
      0.36341151545761,
      0.294658166633917,
      0.242710803815387,
      0.250320207761044,
      0.29839735296079,
      0.334144667386477,
      0.314982111164653,
      0.249437524810533,
      0.178551179112978,
      0.138001523687421,
      0.148082875239279,
      0.219659119659485,
      0.33139637451021,
      0.380489610812887,
      0.327242082490205,
      0.241943958024489,
      0.179204833166267,
      0.148739854294713,
      0.148620816997886,
      0.17841057308697,
      0.231842085833489,
      0.298867053110725,
      0.346214844774655,
      0.326087260574954,
      0.253405707712791,
      0.179780356827401,
      0.154084712688315,
      0.179956984432309,
      0.252447471099611,
      0.36332972363194,
      0.460838086821244,
      0.509732277967041,
      0.55054894186877,
      0.565480176346374,
      0.52948387886897,
      0.471740264803598,
      0.406009210632785,
      0.357914685031089,
      0.360131858183809,
      0.411152663840916,
      0.478018917313046,
      0.51626031476742,
      0.529931679094075,
      0.533020223054403,
      0.511265214787741,
      0.488760584948873,
      0.480629745821305,
      0.479047636250998,
      0.491531224260508,
      0.52430201840735,
      0.562590736856502,
      0.55903865330583,
      0.496481811569505,
      0.450470547385211,
      0.440786273792974,
      0.417905525093902,
      0.358344928682371,
      0.304304299817334,
      0.277591952905186,
      0.2653745573454,
      0.25621861789587,
      0.252833855479007,
      0.262026434650296,
      0.286561716253347,
      0.308675486044833,
      0.307067506116961,
      0.292961939408032,
      0.279644372473887,
      0.273872483942399,
      0.28079400798078,
      0.300844659668457,
      0.333786817649501,
      0.361606122193325,
      0.374520756267894,
      0.396151875339538,
      0.431907401448337,
      0.463457231610575,
      0.458782177269789,
      0.429900057184276,
      0.415253461285867,
      0.428292681007845,
      0.462078759175125,
      0.480353767923029,
      0.450009119936578,
      0.408639774956885,
      0.392648049694045,
      0.393675420234426,
      0.388546885877095,
      0.358876840060698,
      0.326976840132128,
      0.326957127663322,
      0.363056919226751,
      0.425938069152617,
      0.455980416428076,
      0.434432877872553,
      0.434433633728953,
      0.484965617820134,
      0.584226034485265,
      0.650131757017378,
      0.644781645804741,
      0.623902214229956,
      0.610537906546857,
      0.597614413049734,
      0.579670643726658,
      0.56198936161509,
      0.555476442412428,
      0.56716260116688,
      0.595140232566321,
      0.619355343948077,
      0.60307166883633,
      0.536833349992171,
      0.461409045348221,
      0.427742150568244,
      0.447551939440009,
      0.487584666406201,
      0.508348562320976,
      0.522491853281251,
      0.543167507197448,
      0.549270306371626,
      0.535593009683088,
      0.507434675570559,
      0.480734963724535,
      0.474343327858818,
      0.49044413531992,
      0.512276723341715,
      0.527217600871954,
      0.525750979067264,
      0.502491495271084,
      0.483248442997324,
      0.478309594027524,
      0.456772676148258,
      0.423156828099359,
      0.423421360112317,
      0.467674560084735,
      0.513432039420558,
      0.509643089941633,
      0.496656776446796,
      0.507419510730282,
      0.524679024511621,
      0.537559124543745,
      0.552590296503193,
      0.559941473394367,
      0.540203750472865,
      0.515523259751749,
      0.505668401253011,
      0.516858553198069,
      0.54935728003042,
      0.595523153478691,
      0.628363037319934,
      0.616647390746412,
      0.585459546544519,
      0.561139628604112,
      0.544831371735785,
      0.542164058013858,
      0.560393017332358,
      0.582397199786873,
      0.566423127274398,
      0.534952946478524,
      0.545776220619394,
      0.59136514877458,
      0.613132796265834,
      0.567062647612208,
      0.487778561928274,
      0.450481924019447,
      0.465947303426888,
      0.504543340339481,
      0.532905916344572,
      0.552008594178225,
      0.58713226607377,
      0.608311542191738,
      0.584340800571923,
      0.542865329591663,
      0.488789384664165,
      0.44982548768325,
      0.452447930489088,
      0.488184831666969,
      0.524303362522206,
      0.515892243911965,
      0.48824494312325,
      0.48799231707991,
      0.500471910045564,
      0.477854333755965,
      0.406642705430557,
      0.356857225290228,
      0.366082088160941,
      0.397584546054466,
      0.401564867689202,
      0.144525597189575,
      0.211304790684188,
      0.271902375887126,
      0.285555213166324,
      0.252695033242097,
      0.238060298336961,
      0.256721688091012,
      0.275464059749215,
      0.264023395207251,
      0.258310470172697,
      0.284974671815147,
      0.311484012602117,
      0.321631484908394,
      0.306645839964478,
      0.24662094186292,
      0.186039485004432,
      0.179667588207195,
      0.220769361898111,
      0.256323762186708,
      0.236065729909935,
      0.176209519880783,
      0.125262052204252,
      0.105494825022826,
      0.128571629146688,
      0.211371042814108,
      0.332889686228534,
      0.38318388583887,
      0.340264053611779,
      0.264809541400827,
      0.196189756070783,
      0.150229992764656,
      0.134066364454069,
      0.151646831635515,
      0.195745491344898,
      0.251337472587273,
      0.282584728936365,
      0.25502883143062,
      0.190488444641675,
      0.128550975722528,
      0.102875042118123,
      0.112785636992826,
      0.155432541090619,
      0.235673166600861,
      0.335413926306502,
      0.415678794717476,
      0.47160353875776,
      0.480823384381605,
      0.440831475799909,
      0.391483940220225,
      0.334284648309964,
      0.276976414198071,
      0.254800713577664,
      0.284907821746275,
      0.34819001724706,
      0.400913061277579,
      0.438491569996538,
      0.46175614994886,
      0.444949496029324,
      0.419305314134575,
      0.411220535771061,
      0.406108706639626,
      0.40389882738028,
      0.429712376709383,
      0.478519942808817,
      0.4924739832178,
      0.429027938322732,
      0.353360070723769,
      0.312587177120103,
      0.29387847264202,
      0.280028675240062,
      0.282174799539822,
      0.288537452029309,
      0.26591213376323,
      0.226687126116535,
      0.205709012281007,
      0.205749324058549,
      0.200964429578711,
      0.178463371541872,
      0.162910677892838,
      0.161699427412942,
      0.163624542216006,
      0.168180039835515,
      0.183512492231316,
      0.213370590821501,
      0.258878211340407,
      0.303044825330938,
      0.329142862143955,
      0.353671829963922,
      0.380226781662594,
      0.388101461040828,
      0.367928034839189,
      0.356069968570013,
      0.376927445241698,
      0.420263898727512,
      0.468587102306765,
      0.487408915979369,
      0.447208593926381,
      0.38461184897798,
      0.345672551752049,
      0.343720613198367,
      0.356153191552533,
      0.332607642443877,
      0.277042366196587,
      0.255492064594181,
      0.294855784791074,
      0.384433773657067,
      0.445921803108116,
      0.432496690737689,
      0.433773880600336,
      0.48369693397998,
      0.562591848137246,
      0.599226574142449,
      0.587385382641657,
      0.577419095315335,
      0.571708910950974,
      0.552900624772194,
      0.519062732174403,
      0.48316237287628,
      0.469823818310255,
      0.497989110521055,
      0.556678947222729,
      0.596910327115706,
      0.575309808287613,
      0.509276173421632,
      0.440485910739902,
      0.399568314478857,
      0.397504677871622,
      0.425070071249203,
      0.460760769936031,
      0.487174109190518,
      0.491987831967492,
      0.468223338893384,
      0.425442948936421,
      0.377921156723108,
      0.349999779373649,
      0.356961889101677,
      0.388731561231252,
      0.421934640903268,
      0.43997743806815,
      0.438313065251112,
      0.420021258879823,
      0.405121145417615,
      0.402940195231521,
      0.392916814772324,
      0.372992248346491,
      0.375066867571221,
      0.411618193312378,
      0.458211531314583,
      0.46796250739136,
      0.449020192250752,
      0.440040881364951,
      0.447348415645061,
      0.465868590603737,
      0.481977702655057,
      0.472785079411757,
      0.448163368301612,
      0.434127065756115,
      0.439733272730782,
      0.463520192923285,
      0.494860803995118,
      0.531207664589782,
      0.564085231751762,
      0.563193680336437,
      0.541368102658793,
      0.516747922341674,
      0.489130807177619,
      0.470472892421454,
      0.476157935478799,
      0.495501366651947,
      0.490277982511989,
      0.469814197340329,
      0.474517423505755,
      0.501158716649669,
      0.522808910092857,
      0.50176052873667,
      0.437275792067493,
      0.39483885878638,
      0.404293052218436,
      0.446324307259712,
      0.480718884803024,
      0.500925059823249,
      0.534609566573944,
      0.556153086271665,
      0.538796506479954,
      0.506790818220517,
      0.449925605476783,
      0.389821255210202,
      0.370641014778652,
      0.396220356148815,
      0.433830324296236,
      0.430258112384763,
      0.405860212810912,
      0.402756582478888,
      0.404306172928995,
      0.377150113183227,
      0.313747516833303,
      0.26471768330522,
      0.263097176598584,
      0.285808750631639,
      0.291895875931938,
      0.143929085180451,
      0.204991405668357,
      0.251990501919151,
      0.255178433207922,
      0.215853269047191,
      0.192293345079358,
      0.207683023992963,
      0.241025461019728,
      0.256300983052586,
      0.265659458023071,
      0.300001227070431,
      0.333434460628145,
      0.33904771235234,
      0.313264289209141,
      0.244431902404815,
      0.17768676604337,
      0.167334134627953,
      0.20573405981056,
      0.241332031659821,
      0.224331719161935,
      0.172795462991838,
      0.134958122342826,
      0.131707929244701,
      0.173419484253639,
      0.263061423435545,
      0.363702599022485,
      0.389411854908818,
      0.347615083066592,
      0.275954437761437,
      0.20404306882271,
      0.152178696866837,
      0.131454693214239,
      0.148681189095922,
      0.194568632926272,
      0.245731521162168,
      0.267284492103924,
      0.24360625272606,
      0.195190419330496,
      0.142092734942353,
      0.110628643890994,
      0.107897144558092,
      0.138305561238306,
      0.21381370995682,
      0.320311317862446,
      0.40381056317334,
      0.445255408905691,
      0.429443401250652,
      0.377090114253353,
      0.335943092738241,
      0.294925521641401,
      0.246283947648661,
      0.222625865483362,
      0.25156496032759,
      0.325196943789296,
      0.397967917633035,
      0.453663288999355,
      0.481606634271502,
      0.448479558391554,
      0.400788518667095,
      0.380018708487785,
      0.369383471166369,
      0.360304597222257,
      0.386990366255604,
      0.449874849841087,
      0.477905081970394,
      0.412313076749585,
      0.32029204246614,
      0.261919826912594,
      0.242711141423541,
      0.243224320278841,
      0.25083838881415,
      0.251716568186565,
      0.229016245251393,
      0.194912138275512,
      0.176753050268401,
      0.180860406251499,
      0.185424026720102,
      0.167665583355822,
      0.149488883425,
      0.14933389105721,
      0.155314022575075,
      0.160114157144942,
      0.174381243411852,
      0.210231950140685,
      0.269411703838814,
      0.316445961490217,
      0.334187836849291,
      0.357129133354672,
      0.382341296211308,
      0.372762140318143,
      0.331203778480187,
      0.309301281519104,
      0.330928547685581,
      0.383691809844838,
      0.445208976002746,
      0.475730871939105,
      0.447564357394729,
      0.398346749117659,
      0.362966178523817,
      0.350913638871277,
      0.350145630472569,
      0.324518455129029,
      0.27208524233667,
      0.247074436347503,
      0.279913319787838,
      0.365687823990933,
      0.42603294817838,
      0.409600005029815,
      0.411398610046067,
      0.464575971615358,
      0.539179075618237,
      0.563846739555466,
      0.543774438125427,
      0.539534411530121,
      0.556858740485224,
      0.562030389515478,
      0.528199907010115,
      0.4690065708833,
      0.434046601570106,
      0.460235821620161,
      0.534937548292207,
      0.591861212135302,
      0.577090947051328,
      0.516110937731528,
      0.448416642320201,
      0.397549921466739,
      0.381686892233072,
      0.406436623809389,
      0.449435630038642,
      0.468598390822995,
      0.450077009694222,
      0.409813458578087,
      0.367785567193191,
      0.331556843312739,
      0.315227958214176,
      0.332683994054518,
      0.37601310525041,
      0.41469793732312,
      0.423969960468444,
      0.414314547203498,
      0.399953115660173,
      0.389078591883571,
      0.382923161157783,
      0.369010182485675,
      0.34842078074249,
      0.349152121981791,
      0.385818768014948,
      0.43632135499435,
      0.446849156482996,
      0.421451730569585,
      0.41068937276262,
      0.428133867185987,
      0.460077933734716,
      0.473062272382703,
      0.442655976608177,
      0.406655273295314,
      0.395426044040461,
      0.40856855300698,
      0.443749541732363,
      0.487081539148101,
      0.523372893472212,
      0.54764732141038,
      0.542705403912887,
      0.522895547862994,
      0.500523130084803,
      0.475601097569199,
      0.462288498543014,
      0.475161577821391,
      0.499224601551681,
      0.494967655200651,
      0.474172393206622,
      0.470622431473864,
      0.47508229093297,
      0.47847274710562,
      0.461451244196476,
      0.40949931701987,
      0.369701556862243,
      0.378312176603546,
      0.427874918089402,
      0.4744029773665,
      0.498342163813808,
      0.527902014159127,
      0.549093539290658,
      0.537887394941636,
      0.509091057044214,
      0.448167562258246,
      0.378890452554075,
      0.351550811736018,
      0.373485727100454,
      0.413497560849326,
      0.417379086459119,
      0.398177549272442,
      0.393757145060639,
      0.388403013230557,
      0.359276730235981,
      0.305737110897925,
      0.265687381355392,
      0.263388575598062,
      0.279968923898304,
      0.279783890213882,
      0.171230861985164,
      0.232455348233681,
      0.271622566425514,
      0.267337064474696,
      0.222658629590714,
      0.197906519214293,
      0.221080578710284,
      0.273443581787001,
      0.307378616508194,
      0.316447930101961,
      0.332214359557243,
      0.339145076844473,
      0.328735553098042,
      0.310080168452889,
      0.260740491658349,
      0.203008692459297,
      0.186848316143063,
      0.216225970404699,
      0.25767702942275,
      0.268603073271672,
      0.25580713841756,
      0.254629771161021,
      0.287895340956884,
      0.364383621653921,
      0.456470954197118,
      0.487479885553441,
      0.419105393590256,
      0.337661905005528,
      0.267207950375673,
      0.215481825090567,
      0.189528710724029,
      0.189465955389543,
      0.214299937694992,
      0.254114645326949,
      0.288113139114804,
      0.295614250697113,
      0.278770875663453,
      0.252943374267543,
      0.214736674537139,
      0.176941894583278,
      0.157376064268393,
      0.170659329534318,
      0.236832488948231,
      0.344138795717172,
      0.429869113940749,
      0.468441855984561,
      0.435661855635851,
      0.365283372731213,
      0.328719399735319,
      0.307738598309238,
      0.273445888459476,
      0.253384852929532,
      0.285872212135188,
      0.367672254311907,
      0.444161003367543,
      0.492954385696329,
      0.507072340650093,
      0.461336287906925,
      0.407976417667859,
      0.386066399331413,
      0.373323097316385,
      0.361008679800302,
      0.388413188588183,
      0.455658189447094,
      0.487633660304544,
      0.423077073617291,
      0.323952434199151,
      0.253911482249636,
      0.236585690114024,
      0.252122121769398,
      0.262619787568812,
      0.253303553074651,
      0.234049891781042,
      0.222189678241441,
      0.22209469206795,
      0.231384107326652,
      0.237575096967571,
      0.225638689247217,
      0.214661324816173,
      0.222252493494333,
      0.230280971360039,
      0.221209507934427,
      0.213051114432052,
      0.23277836915882,
      0.2853702670459,
      0.320988027601493,
      0.327263432394061,
      0.352103422670667,
      0.38979642734956,
      0.397661546408366,
      0.370912453163588,
      0.342734267850169,
      0.334946900108792,
      0.355857781644372,
      0.40213929413994,
      0.439161594610847,
      0.43277199959107,
      0.40664691191562,
      0.377832459568394,
      0.347435226851419,
      0.322887106308103,
      0.30323535352576,
      0.277939617864534,
      0.263243949423447,
      0.283574262871534,
      0.348316031102396,
      0.405718571576682,
      0.402212811917121,
      0.407131103628454,
      0.453785902838232,
      0.527787707991418,
      0.567977283344031,
      0.559234009962282,
      0.549467412010212,
      0.551848567376994,
      0.548038795998399,
      0.52008516812178,
      0.472417386504276,
      0.439228844060332,
      0.451920428476451,
      0.512611958844958,
      0.573657586472625,
      0.575763967672609,
      0.522359931118324,
      0.448090214779697,
      0.391272177918751,
      0.379979253637342,
      0.416189260741845,
      0.460583764368839,
      0.464447965080605,
      0.433375639141182,
      0.398313494979363,
      0.375536145959232,
      0.359968687956406,
      0.352259388152659,
      0.36947900555885,
      0.414359324589525,
      0.455330494931213,
      0.461611369146219,
      0.446952949652074,
      0.430249238125601,
      0.416616534913476,
      0.409804345942121,
      0.404324707234483,
      0.392254912317409,
      0.390859455986551,
      0.418516386188483,
      0.455496689807577,
      0.444306450400329,
      0.399585350706407,
      0.385313077535551,
      0.412666152014115,
      0.455463674024194,
      0.469344775512905,
      0.432880777822568,
      0.395578637192575,
      0.392079097554646,
      0.418448684612712,
      0.469657796443687,
      0.526154281230272,
      0.563561872199709,
      0.581481214384611,
      0.56818078421861,
      0.541189148905014,
      0.513589761225146,
      0.488735791608975,
      0.481945777907177,
      0.502631631532906,
      0.532011854597622,
      0.532779712218003,
      0.514173704007476,
      0.501642051665518,
      0.488464931067285,
      0.479663834796839,
      0.45971039656799,
      0.40391402938131,
      0.357846496971643,
      0.371951547781958,
      0.448129681531382,
      0.522363760616423,
      0.543182247905537,
      0.548813828965165,
      0.552343635726922,
      0.536146065545778,
      0.508430867847008,
      0.454928278867658,
      0.391048174477467,
      0.361656353494915,
      0.378884502431054,
      0.424001622936283,
      0.446046243714662,
      0.436487765714018,
      0.426570640906385,
      0.411146186478814,
      0.382317646281922,
      0.342587366900527,
      0.310623704401683,
      0.297859102474662,
      0.294023807993951,
      0.280673564320567,
      0.190555657208848,
      0.257301338605396,
      0.29422713454057,
      0.285135046085518,
      0.242965238377,
      0.227721286592329,
      0.2547521007019,
      0.304353191973845,
      0.345228570901145,
      0.367856570305084,
      0.373702786001018,
      0.343967144592912,
      0.309981866231646,
      0.299414193706729,
      0.281800558844256,
      0.25550977467903,
      0.255101695784028,
      0.286055833674765,
      0.33157679601078,
      0.374401813987473,
      0.420316721937904,
      0.481070715902265,
      0.555916698302721,
      0.639940361241144,
      0.687805870509904,
      0.62990116960137,
      0.4921113979169,
      0.388539251597338,
      0.318368229385754,
      0.27220621692679,
      0.251393833700707,
      0.252591964772048,
      0.271529103386163,
      0.297103014071979,
      0.31319535529377,
      0.312448938918482,
      0.307111979047384,
      0.311073029130469,
      0.303958193862137,
      0.281352648840313,
      0.259788247089278,
      0.255753666732831,
      0.292521823132077,
      0.372988196422874,
      0.45255327907174,
      0.49802583025349,
      0.473796012157345,
      0.405203497084081,
      0.369692015993014,
      0.358288755888957,
      0.342711812223864,
      0.33927882741651,
      0.373588922108433,
      0.438269535666712,
      0.493859156235762,
      0.532345445452242,
      0.540955186617782,
      0.489142932647621,
      0.429479436437934,
      0.403999433633118,
      0.398341144300377,
      0.401585349369433,
      0.435639069415843,
      0.496426842881711,
      0.522388225646767,
      0.464351856465549,
      0.370461360565587,
      0.295396063574378,
      0.263685266078567,
      0.266624179231088,
      0.276374166621519,
      0.275055501381466,
      0.262954063135597,
      0.255965273087256,
      0.262958159991632,
      0.281964407922895,
      0.299384154631073,
      0.304338803765868,
      0.315250739456093,
      0.340440773969911,
      0.3538767352544,
      0.337591145270013,
      0.313737363516986,
      0.309183702480927,
      0.327105438188753,
      0.331211595562219,
      0.326230328784184,
      0.346995541075586,
      0.382749633466908,
      0.406725551085794,
      0.417639320297667,
      0.419490183205365,
      0.412391221303498,
      0.409508117457379,
      0.42247879390579,
      0.437449010703628,
      0.434712386789205,
      0.423316138039757,
      0.403525452866575,
      0.373143244714064,
      0.349901619825026,
      0.347400570893703,
      0.342448681871917,
      0.330939610284466,
      0.336562255552917,
      0.384130102505194,
      0.445580805165883,
      0.449824539394042,
      0.444416816036953,
      0.473090473687844,
      0.540612790949806,
      0.58202857564256,
      0.565251100515118,
      0.542624526730101,
      0.537507749854829,
      0.54606986979287,
      0.551462283498007,
      0.531490433225732,
      0.494427122379837,
      0.476565073859355,
      0.51052145866422,
      0.570187765721124,
      0.58714906838178,
      0.546690021397153,
      0.476651254751468,
      0.4224123718117,
      0.417581025617218,
      0.463620108284259,
      0.509131196157312,
      0.501327357711805,
      0.462924661132542,
      0.433768106882822,
      0.428295299752605,
      0.435288439837017,
      0.438891607487394,
      0.447532099672636,
      0.476288546936238,
      0.512764342856093,
      0.529716822764054,
      0.52423489891874,
      0.505980969757805,
      0.484118957929054,
      0.476533890938444,
      0.479396713025209,
      0.465217463073808,
      0.44297988487289,
      0.445434514891009,
      0.472484566485831,
      0.468424319715516,
      0.424980966422695,
      0.403585916794752,
      0.421301608920087,
      0.457641251395654,
      0.477298479976544,
      0.45378925917215,
      0.419340047417193,
      0.414271786254146,
      0.442762534961708,
      0.500407960478571,
      0.566170198796625,
      0.609078755987783,
      0.628950708260883,
      0.616669500765956,
      0.591686981070796,
      0.560954477589574,
      0.524789123287289,
      0.50645903120491,
      0.518276970591293,
      0.545398297209249,
      0.556091274511433,
      0.549874396611862,
      0.541567493113966,
      0.529264851320239,
      0.52230657922587,
      0.499257879561247,
      0.435833944944682,
      0.387072759362149,
      0.408925458579602,
      0.501932783245669,
      0.589287398614891,
      0.603375400388719,
      0.588276444292657,
      0.575156503640328,
      0.55582570798729,
      0.53788430504711,
      0.502273454264358,
      0.447236883924538,
      0.411701055260583,
      0.416130452157843,
      0.460088455971543,
      0.504045052397231,
      0.518116149851018,
      0.514191269915315,
      0.490852553904815,
      0.466204557194038,
      0.448643860099358,
      0.425517182342984,
      0.394180769467105,
      0.362475834859078,
      0.337764017642354,
      0.18240418666489,
      0.25349465916757,
      0.296435828968538,
      0.294068092682204,
      0.259150979203203,
      0.242955693483705,
      0.259615653790755,
      0.305630451219272,
      0.371541311132822,
      0.430261042633006,
      0.449721833638224,
      0.407860104983938,
      0.353075634781052,
      0.32144076847925,
      0.300060231168804,
      0.299861398704205,
      0.33479588933444,
      0.389319043311414,
      0.435124830512045,
      0.471734240614255,
      0.528272139545603,
      0.599354146681027,
      0.644398346340024,
      0.646235830767993,
      0.606840353013683,
      0.555215208930698,
      0.495078665632751,
      0.408572134036891,
      0.329813120880545,
      0.288408539674112,
      0.276142118919818,
      0.277668212462607,
      0.288762889378284,
      0.310667988679102,
      0.339473142545018,
      0.357111887285727,
      0.352686494171554,
      0.33613491829294,
      0.310787567392618,
      0.297379330420056,
      0.303802839064284,
      0.328281605042571,
      0.372968510833921,
      0.432710313371266,
      0.49116043301102,
      0.527997249802282,
      0.514845292719657,
      0.473818481479359,
      0.452328459896907,
      0.436808508732953,
      0.417196477468291,
      0.413654722290323,
      0.439763778871337,
      0.486716915945146,
      0.531683651232577,
      0.567141866779433,
      0.573081170796299,
      0.529518844141036,
      0.482928127453881,
      0.463206656733671,
      0.458459626993688,
      0.464463604426106,
      0.495485665039977,
      0.543849509148965,
      0.56492891694231,
      0.524347672499736,
      0.444937371868175,
      0.36012460098118,
      0.302125160662038,
      0.289457532146979,
      0.299526536505682,
      0.303825135918299,
      0.301990408348529,
      0.306014233301815,
      0.320005670588841,
      0.342477880208794,
      0.365874280100325,
      0.383918807839226,
      0.399462484879194,
      0.407861658787333,
      0.396370551886347,
      0.372375714878115,
      0.35916019901217,
      0.366419819312939,
      0.385955345816041,
      0.39714901519743,
      0.406528175145951,
      0.427487567801249,
      0.44670008724763,
      0.452210877276663,
      0.460479200419845,
      0.474973491616186,
      0.478790328252366,
      0.470858650578315,
      0.461496310970217,
      0.457187245145794,
      0.463042435859191,
      0.476424428673084,
      0.479857746278201,
      0.466150785833212,
      0.45284488939206,
      0.450195420953465,
      0.43102478855811,
      0.401608602099045,
      0.390494261695988,
      0.428546580467203,
      0.499560181771265,
      0.519054825238043,
      0.518093823921499,
      0.541331365087236,
      0.594604739318613,
      0.617300359483136,
      0.589978425656396,
      0.573253469494621,
      0.587964416990713,
      0.612988444605889,
      0.616131780483713,
      0.580113223235344,
      0.525133227938656,
      0.497187873764054,
      0.533849906690641,
      0.602538172762868,
      0.624858869377804,
      0.58975682746134,
      0.526998092639696,
      0.475976867994655,
      0.467289950308366,
      0.506143827895485,
      0.545005852461929,
      0.533688578535934,
      0.498837469314999,
      0.475167149547511,
      0.47271588210801,
      0.483791582981431,
      0.495512983263774,
      0.512927695477965,
      0.548926547301967,
      0.595037581776961,
      0.621982209409937,
      0.628632987372512,
      0.624365472548431,
      0.604076495345015,
      0.573946468411213,
      0.540585671960148,
      0.499067514526309,
      0.459336069355276,
      0.444932747211534,
      0.461256141920976,
      0.468271118177715,
      0.442102072766355,
      0.42557913777583,
      0.441606037014471,
      0.478593868708892,
      0.505064081454747,
      0.497344319539383,
      0.478535424304494,
      0.4741032078673,
      0.488823465294639,
      0.531842038678633,
      0.598690065042163,
      0.647375368799762,
      0.663210993624164,
      0.658140038200679,
      0.651743423855012,
      0.62565523309686,
      0.579503500357744,
      0.551443273279382,
      0.557527132857867,
      0.579961036923135,
      0.592948663372216,
      0.602884466424517,
      0.615331326977754,
      0.614173903971966,
      0.607028264341855,
      0.585895748222342,
      0.535514762869961,
      0.500911855933828,
      0.519402952246032,
      0.581321256428064,
      0.635609225746672,
      0.652821689132665,
      0.659780511753341,
      0.650556882057764,
      0.614476684410276,
      0.579636498160556,
      0.531558624533005,
      0.46931134882922,
      0.434717237879504,
      0.450783816395437,
      0.519568594487544,
      0.594314218771702,
      0.624759540641033,
      0.614421646428931,
      0.582045895500737,
      0.564229806461623,
      0.55562736936475,
      0.530818050279472,
      0.499018231369722,
      0.476789129858224,
      0.465024184356849,
      0.161558962297823,
      0.226102788365363,
      0.272740408563462,
      0.280342406766449,
      0.25151155394688,
      0.232448340259804,
      0.248966435384017,
      0.314986706865423,
      0.408462804054647,
      0.469631234076415,
      0.475258469535695,
      0.432376732889,
      0.384654180003378,
      0.343469475297544,
      0.308434989325003,
      0.313186185096167,
      0.360262234196572,
      0.423329397788612,
      0.461959462786241,
      0.456088424562051,
      0.422610710323029,
      0.390617199181928,
      0.370551329483618,
      0.357817378073252,
      0.359544995261599,
      0.395526158112975,
      0.421967124027,
      0.371143162756568,
      0.288899667411788,
      0.240435031795695,
      0.231739040590498,
      0.244100459207184,
      0.266728402114593,
      0.303566459813853,
      0.357620966943257,
      0.396247291038726,
      0.386199366225391,
      0.345178273562349,
      0.292794723197744,
      0.270825251853148,
      0.297715284747718,
      0.366598553219425,
      0.455414385941359,
      0.516926787187346,
      0.546508424956233,
      0.577568430987083,
      0.57283938432941,
      0.524023389186367,
      0.480010635392459,
      0.45236867372387,
      0.441511067353502,
      0.452072883421484,
      0.483328888351295,
      0.525766838731942,
      0.558389833062229,
      0.574234389218162,
      0.563541036715,
      0.521804430586153,
      0.491077871689744,
      0.48431654649281,
      0.483710329507842,
      0.490748082857872,
      0.520237367762359,
      0.5637148748994,
      0.582518626125638,
      0.551127761243663,
      0.491691183183166,
      0.421099512803837,
      0.351339530992728,
      0.307069295763783,
      0.29426931489555,
      0.299401658063874,
      0.314973980243902,
      0.328767573746849,
      0.34270309029757,
      0.367219315189099,
      0.410172645878264,
      0.456572516548331,
      0.473550338401085,
      0.45436988273444,
      0.405406793075245,
      0.354588040002646,
      0.330581935246062,
      0.344080013007897,
      0.395082866290386,
      0.453189823368982,
      0.484959916907546,
      0.507438975349434,
      0.520687462221635,
      0.5120929003246,
      0.485622374715956,
      0.45671891753053,
      0.441871944848721,
      0.442319768222994,
      0.44812283816655,
      0.456894136282728,
      0.478851519969739,
      0.514315793648541,
      0.536462481733868,
      0.530932235847961,
      0.511548680607257,
      0.480940560778854,
      0.437898664781531,
      0.409819269190186,
      0.410236272207346,
      0.433869471346858,
      0.44742388654124,
      0.44758090381235,
      0.47254228292618,
      0.53122254588898,
      0.607060059707702,
      0.63702345930531,
      0.621030375941804,
      0.617736116177031,
      0.643621673092296,
      0.664787771172538,
      0.642034811845419,
      0.581930503155045,
      0.52725685398457,
      0.515213332186955,
      0.556440157163782,
      0.615806289488527,
      0.628871733812513,
      0.579058339423309,
      0.507673061423317,
      0.462400770087473,
      0.464510621718379,
      0.506415232828651,
      0.548586422598387,
      0.556363690379022,
      0.538903718020441,
      0.520920406745109,
      0.51606615022547,
      0.513379723692369,
      0.507357323913409,
      0.51678901666415,
      0.557509625681396,
      0.614908410352026,
      0.654365634500045,
      0.670303447956636,
      0.672220777077156,
      0.66229404362156,
      0.632816528613897,
      0.568405619039111,
      0.48607508480638,
      0.425827211966671,
      0.409870369783994,
      0.431413587164701,
      0.442706254663755,
      0.427335937447454,
      0.421128330038453,
      0.44182235663912,
      0.482924376569339,
      0.519785918314723,
      0.528543615909918,
      0.519909389137318,
      0.513274730336537,
      0.518587853270992,
      0.549169448499776,
      0.602314659543694,
      0.640728746463926,
      0.651709632697556,
      0.649719182442539,
      0.647231611196961,
      0.626377801656126,
      0.593722907631293,
      0.579451266747637,
      0.591957233999397,
      0.612484362314791,
      0.611034864812684,
      0.604149459332304,
      0.619523097679238,
      0.634578498648649,
      0.632040326424564,
      0.614557312482784,
      0.590933106722537,
      0.586681216450333,
      0.606589374402778,
      0.631365778764692,
      0.637233395006442,
      0.638587520149485,
      0.660735081446172,
      0.669594517330418,
      0.640553532775151,
      0.599125241775354,
      0.530145204563408,
      0.454475067931667,
      0.424179355209877,
      0.458366787491808,
      0.546227578920751,
      0.617222676680979,
      0.618761103604668,
      0.589748098685603,
      0.571409450738224,
      0.568948544665726,
      0.545818503593064,
      0.505572661272041,
      0.489961353433918,
      0.502182278432558,
      0.510489919017312,
      0.153911233016292,
      0.210024687535744,
      0.256808824735181,
      0.277966800713595,
      0.275445194518532,
      0.277373609630292,
      0.293933876826493,
      0.330215125275703,
      0.372001449048888,
      0.39770375700604,
      0.40059197312957,
      0.379712234738087,
      0.355826386260619,
      0.326146040093828,
      0.28408637151486,
      0.262666060872744,
      0.278937514775507,
      0.327995569723936,
      0.380759629091443,
      0.384797209131701,
      0.315164243833485,
      0.224044098219866,
      0.173060357450012,
      0.176059794943862,
      0.232805754471407,
      0.323939407754772,
      0.371810361610739,
      0.333397101125703,
      0.256434361209911,
      0.199314222597373,
      0.176648771891184,
      0.178832483545116,
      0.197759216498286,
      0.234076593013699,
      0.290191153190128,
      0.337837550553399,
      0.337308677059281,
      0.294769328048942,
      0.23287000293504,
      0.200198723442343,
      0.219149645022905,
      0.287299741786803,
      0.385998893776761,
      0.46100883196183,
      0.497200903367685,
      0.544130760071258,
      0.566350654543556,
      0.525416219576971,
      0.464016606137027,
      0.412236169533897,
      0.393321504559625,
      0.419128701605165,
      0.475122062522073,
      0.528946444611368,
      0.548504322239333,
      0.549786969812586,
      0.532684142041243,
      0.480853298146799,
      0.440554441788878,
      0.431961966489482,
      0.438265907584731,
      0.453895777621191,
      0.487678030006879,
      0.534136731570242,
      0.546118045194376,
      0.491058677915106,
      0.427789135754286,
      0.395896846130933,
      0.372273335114623,
      0.32916029550331,
      0.287079773723,
      0.270828362638915,
      0.280049437832451,
      0.289242869845313,
      0.296353707372899,
      0.312887391923703,
      0.348675226023588,
      0.397195572921184,
      0.426297778929248,
      0.42166670647358,
      0.383949709149807,
      0.341038365312997,
      0.322353838170585,
      0.334336915312986,
      0.374497621273679,
      0.409614279527648,
      0.41697761677691,
      0.427962832581572,
      0.445188328109875,
      0.449560291120223,
      0.421867568899525,
      0.380394792519539,
      0.367462460484199,
      0.390681802207393,
      0.421957104858292,
      0.430800804485596,
      0.424676456359268,
      0.42403614538164,
      0.417578894189245,
      0.406304872086488,
      0.40913683101214,
      0.407327608904543,
      0.377794521411339,
      0.354994265448468,
      0.364537493981546,
      0.397184102095894,
      0.403015301669717,
      0.388743215945545,
      0.410438466644892,
      0.479299920711491,
      0.572061727599542,
      0.611083744016435,
      0.593468731275028,
      0.578990350873958,
      0.587601254843578,
      0.599703216364475,
      0.586287562396683,
      0.551715641364557,
      0.528136833539835,
      0.536069151004985,
      0.567404286679438,
      0.591042998328317,
      0.569717651776835,
      0.502637577256216,
      0.438481818328152,
      0.417887932861692,
      0.44344957030301,
      0.486671028051699,
      0.51522054796286,
      0.530845843281572,
      0.537367586959364,
      0.531092896671893,
      0.519455250412161,
      0.502768975469454,
      0.49105859012628,
      0.49817154482332,
      0.525390869328681,
      0.556826169706514,
      0.573223207426394,
      0.568744173945476,
      0.553240555403127,
      0.555728699242551,
      0.566673501766297,
      0.535708206576492,
      0.467727023551895,
      0.420387310853077,
      0.420821319189195,
      0.452523467116599,
      0.458725991281115,
      0.437236367287961,
      0.426275863783293,
      0.43493051232131,
      0.465848298788218,
      0.509562852216337,
      0.528379813476912,
      0.515865706492522,
      0.504515215472038,
      0.509912752662503,
      0.532026074647897,
      0.562468345865159,
      0.598841496832386,
      0.630796228689382,
      0.63109222370375,
      0.601649677613203,
      0.556944319965937,
      0.526697860631354,
      0.531631708255657,
      0.566910108994086,
      0.60303972486653,
      0.592482659656841,
      0.559177347484486,
      0.554806741141749,
      0.564933086567049,
      0.556727523987829,
      0.523830476637866,
      0.492512123664886,
      0.496731030268211,
      0.530098613239171,
      0.569166669669515,
      0.586759839472702,
      0.589456752400514,
      0.60462245859942,
      0.604719392753121,
      0.573846275050178,
      0.536998362853082,
      0.480407571870295,
      0.428373428070342,
      0.420441132038587,
      0.461212098801469,
      0.521109537365059,
      0.536433598024583,
      0.508118015735795,
      0.49338482934871,
      0.499844361367431,
      0.490129808362307,
      0.434531940431145,
      0.380904997932267,
      0.383718327162681,
      0.425356134416046,
      0.448749541356122,
      0.139875437389941,
      0.201562304479716,
      0.257171136178258,
      0.279524818291205,
      0.278116036613353,
      0.292686202288137,
      0.317568889965623,
      0.323498156428448,
      0.301162947180188,
      0.296553451253555,
      0.317274792192188,
      0.325328691854989,
      0.320175626132137,
      0.304948169547658,
      0.262959637419925,
      0.217236653006763,
      0.203163716079681,
      0.228917774718198,
      0.273726234941163,
      0.285721930376329,
      0.232284724968842,
      0.156139142757734,
      0.114183383969001,
      0.124806210132111,
      0.193007302483999,
      0.297383483630224,
      0.350863297847749,
      0.315382089365163,
      0.237911531407497,
      0.174457778093973,
      0.140819583968039,
      0.13214258371786,
      0.145950866764112,
      0.185879317804908,
      0.254513440751918,
      0.312009973090662,
      0.30085860983951,
      0.238272390622372,
      0.16989312660706,
      0.137933601362453,
      0.147221511187114,
      0.193119699572425,
      0.273700612023398,
      0.362880992684476,
      0.431956479784465,
      0.48370266359609,
      0.485156733148478,
      0.436824520790267,
      0.385716199818798,
      0.339862914664856,
      0.312529723941352,
      0.326300674018102,
      0.379397445916111,
      0.443968663684409,
      0.481625904197215,
      0.495862517421046,
      0.487299985712645,
      0.445225332231214,
      0.409774141640256,
      0.398653464418321,
      0.397210366979356,
      0.406845054750748,
      0.444585522589188,
      0.50339818018206,
      0.521462134360033,
      0.447601864228748,
      0.363535544223882,
      0.339991288196514,
      0.349156634467273,
      0.332208603388336,
      0.29344897274514,
      0.25718817597858,
      0.230323392924618,
      0.213374263835277,
      0.214995444970682,
      0.234868552691095,
      0.258713517482819,
      0.270838202274206,
      0.270982290890649,
      0.260224025661689,
      0.235472074970274,
      0.220391328528509,
      0.237281144923726,
      0.281301346670563,
      0.333046067521184,
      0.356916439269054,
      0.352589175469935,
      0.351579280844921,
      0.356004208250004,
      0.359022682106139,
      0.348543892779384,
      0.333823676964189,
      0.340496897572307,
      0.37408062037871,
      0.41440670978123,
      0.425372727721201,
      0.3999994975586,
      0.364047724036869,
      0.330346355383823,
      0.311438423966917,
      0.317157806749609,
      0.320513193768884,
      0.298391914926802,
      0.28809789488945,
      0.316818279121324,
      0.37830265036139,
      0.406166797862283,
      0.384967404700667,
      0.396670228053144,
      0.462539637204916,
      0.554531774523903,
      0.592698658720696,
      0.572911158885032,
      0.548237380231728,
      0.535331591350102,
      0.527516787792822,
      0.512508496003065,
      0.491769206034224,
      0.487253648634225,
      0.516082545385631,
      0.562675409143734,
      0.581264811597207,
      0.538759368591947,
      0.458945817887223,
      0.394173686502633,
      0.375317455193355,
      0.400620191716634,
      0.442398501304249,
      0.467178592981158,
      0.477193506194412,
      0.48494156251774,
      0.485367052168929,
      0.472343813702172,
      0.444745540575581,
      0.427252940878272,
      0.44055517752837,
      0.472588318745267,
      0.49503033506708,
      0.499468602553099,
      0.492046375594364,
      0.467918461481756,
      0.448971023352663,
      0.443542205549067,
      0.425292025052434,
      0.400421362346907,
      0.405077783714365,
      0.444143856529043,
      0.478766827429385,
      0.461102318716347,
      0.432949840796417,
      0.432336911438617,
      0.448724844793568,
      0.468289806590322,
      0.483571998881301,
      0.48280503019023,
      0.467981299168357,
      0.458633944518613,
      0.46305221374286,
      0.479288060632576,
      0.501780497238184,
      0.540918873006702,
      0.588686190782599,
      0.602873609846895,
      0.572843915558739,
      0.517030356349248,
      0.47360503935423,
      0.469046489175504,
      0.504061946253121,
      0.551630259460874,
      0.552767637502792,
      0.514802823624213,
      0.49066762805376,
      0.485466479420005,
      0.483145998879037,
      0.459871031211247,
      0.416707483470698,
      0.399179358594454,
      0.423647420896612,
      0.476671281715158,
      0.52579935998943,
      0.55439991140054,
      0.576712562959762,
      0.568956070944803,
      0.527789137794411,
      0.48812841329441,
      0.436240739208546,
      0.388714370986966,
      0.38297757447278,
      0.421054792521808,
      0.465905976937004,
      0.457795356375661,
      0.419568850677964,
      0.403873667369491,
      0.402261035001463,
      0.382192872712431,
      0.328539536852306,
      0.284909389542891,
      0.290601527201214,
      0.325079437014679,
      0.338557871365673,
      0.140616994466551,
      0.208173086793734,
      0.264855607082273,
      0.269758240482624,
      0.226662259382775,
      0.206420140185334,
      0.226619745038072,
      0.256560033381835,
      0.26425902883734,
      0.275766595115698,
      0.307661288339354,
      0.320298196666102,
      0.305625007069384,
      0.279383604382176,
      0.238835304618432,
      0.201523156467518,
      0.188827847353459,
      0.20005656472379,
      0.218203474625874,
      0.213875045501867,
      0.172872507615944,
      0.125712508116389,
      0.110672110149958,
      0.140807618081066,
      0.21961974384329,
      0.325358017242624,
      0.369284230535445,
      0.317172079836657,
      0.227863957019128,
      0.165459893258198,
      0.136241632461082,
      0.126710542884597,
      0.135879474151095,
      0.175116029005676,
      0.244817059176305,
      0.290895524726154,
      0.26387417691435,
      0.201181530903672,
      0.142225081312646,
      0.115177566996876,
      0.124132054995947,
      0.169130750484532,
      0.253671670585369,
      0.35095385793337,
      0.417541279529979,
      0.445122253276757,
      0.419626919766766,
      0.366200045056087,
      0.326142342430199,
      0.289646069299593,
      0.254594512038722,
      0.246181716515309,
      0.278151710155343,
      0.339945123683762,
      0.400350167241491,
      0.446645598482363,
      0.463022952621898,
      0.42749843287784,
      0.384894835332514,
      0.367813502840639,
      0.367809813512562,
      0.380839210669515,
      0.418288523956932,
      0.476884716450549,
      0.499224820118137,
      0.426589145932844,
      0.328717843394338,
      0.280655915592383,
      0.277066315927069,
      0.277722046439179,
      0.275808103047956,
      0.26572579870441,
      0.229304669018675,
      0.185090729175589,
      0.167921672203759,
      0.179286673912758,
      0.190837246208694,
      0.178543591939567,
      0.161159499393398,
      0.153385636629818,
      0.148207006572704,
      0.151412364345048,
      0.175924282820269,
      0.224742565395948,
      0.289798395017156,
      0.336521983914124,
      0.347107726348002,
      0.347253619129384,
      0.342733329919285,
      0.332060111837575,
      0.320665853527189,
      0.320210306523395,
      0.338159696724725,
      0.374426092957,
      0.415636831151129,
      0.425599339259156,
      0.39104679018018,
      0.346975049594009,
      0.319633455512604,
      0.315490722595654,
      0.325224320669191,
      0.311302466579826,
      0.277383681731141,
      0.279789767357473,
      0.329691627947051,
      0.402509906246023,
      0.419701798112987,
      0.386336379236346,
      0.396552329746475,
      0.461824304831425,
      0.546544787755698,
      0.579373646459247,
      0.56899220120578,
      0.557951524294228,
      0.550275607769531,
      0.533918119331406,
      0.499699578323792,
      0.456574047586692,
      0.435595079622616,
      0.461865382296881,
      0.521406234281914,
      0.560316611250371,
      0.53585594773832,
      0.463235554463922,
      0.390077055620156,
      0.352099241285882,
      0.35953828436222,
      0.396518080176012,
      0.425461335528064,
      0.429446450736789,
      0.420095060153852,
      0.405957514456057,
      0.385669151560027,
      0.356458057599787,
      0.338655518142043,
      0.354278448072339,
      0.395460708082298,
      0.4330044840685,
      0.448310069626733,
      0.448582267995282,
      0.432132692964544,
      0.406614502113904,
      0.384699644955117,
      0.366769313963683,
      0.365346830449771,
      0.393928992124763,
      0.44259692583257,
      0.467616748845866,
      0.428758438886725,
      0.389043344530724,
      0.396668494239148,
      0.436803689714683,
      0.472865805198113,
      0.473751233640137,
      0.446018591956935,
      0.418453273931785,
      0.408611015002137,
      0.419349117743357,
      0.446632466202873,
      0.473630752887387,
      0.498741110433192,
      0.533132499987348,
      0.549989408184839,
      0.537570619771957,
      0.501108759009169,
      0.459743259354741,
      0.441524127012341,
      0.460264963112307,
      0.497883387493426,
      0.498715399972551,
      0.465587901499687,
      0.446881754956309,
      0.444631519900442,
      0.448561416684403,
      0.43902666404893,
      0.400711436665455,
      0.370331096964016,
      0.378372912903671,
      0.425027075300115,
      0.481750522422214,
      0.521413546822799,
      0.550728864751384,
      0.55237370504893,
      0.520326756004963,
      0.478598974208305,
      0.413270168934672,
      0.351429984671154,
      0.338451227470381,
      0.373259759548336,
      0.416607774726296,
      0.411470471323617,
      0.379925514884865,
      0.367709283627954,
      0.360823800117558,
      0.335757777848399,
      0.286928789349018,
      0.24853273832263,
      0.248053613210021,
      0.268795274396537,
      0.273551407593155,
      0.183718285624743,
      0.247726009849542,
      0.282535350179462,
      0.262310658138847,
      0.199651660865375,
      0.16462282184399,
      0.18040156500599,
      0.227516553762611,
      0.261209827826487,
      0.275465152051202,
      0.298495882522514,
      0.315924959931832,
      0.311651999534022,
      0.290887990969906,
      0.25008469185046,
      0.21133709444061,
      0.200465992049787,
      0.21385261005849,
      0.229948950067167,
      0.220971944761194,
      0.188103905111556,
      0.165658078788411,
      0.186134491868736,
      0.257078257633916,
      0.356912111754689,
      0.427159526297816,
      0.409696073323172,
      0.340742145096593,
      0.258537489580838,
      0.19685171171903,
      0.160519992364954,
      0.141678616473107,
      0.14447451584286,
      0.18106869832321,
      0.244825510521357,
      0.283207562801614,
      0.258395368763776,
      0.207065734894446,
      0.152777327902406,
      0.11580888154819,
      0.111149474367828,
      0.148354995134499,
      0.237563089451939,
      0.350427719777349,
      0.425753855904465,
      0.452046962386016,
      0.418551664222117,
      0.355262433594373,
      0.31595272422875,
      0.288023577728012,
      0.256469617927084,
      0.241719145665233,
      0.262275934624752,
      0.311163427153049,
      0.360908186758384,
      0.408465715511045,
      0.440864102383634,
      0.418802965149575,
      0.379376148267136,
      0.366093208921644,
      0.370860844057768,
      0.376497871445986,
      0.397445703192768,
      0.442550873807483,
      0.463814757970868,
      0.403819248629625,
      0.311780974487964,
      0.249413378382662,
      0.225986203989731,
      0.226460927838426,
      0.240940014761547,
      0.253524497602257,
      0.241731619309916,
      0.209142282400233,
      0.184125244861293,
      0.177271575184464,
      0.177058520618535,
      0.164890288857143,
      0.144818863872836,
      0.136475843282694,
      0.140829329730873,
      0.150058604529546,
      0.165592212848312,
      0.200140500875586,
      0.268595967518408,
      0.33909891155228,
      0.362057958276181,
      0.364364962557162,
      0.366178609444468,
      0.359459975917457,
      0.348069399526069,
      0.34860039079441,
      0.362329616625485,
      0.385335278434421,
      0.409268282742104,
      0.414059800158593,
      0.388844366136975,
      0.355471289836254,
      0.338990265143691,
      0.345006202785429,
      0.356739224833071,
      0.329634434295458,
      0.280620238948729,
      0.278454906887415,
      0.329161463853537,
      0.40488375835066,
      0.422756163280487,
      0.383167973077305,
      0.382708343814349,
      0.439948478098859,
      0.527058743428014,
      0.567529879884195,
      0.565578418162588,
      0.573459866669782,
      0.589308282513678,
      0.578789399232023,
      0.528935039956358,
      0.471267320185181,
      0.445981008181351,
      0.464824891548404,
      0.511678719254113,
      0.547791669168162,
      0.535175018154213,
      0.475460057526213,
      0.404808404429085,
      0.360156845378742,
      0.357075440981748,
      0.386277770828473,
      0.412273733159093,
      0.408444068706555,
      0.384475936771314,
      0.356432538244611,
      0.332867531157056,
      0.313999406385011,
      0.307751299495653,
      0.326136768628468,
      0.367463906671573,
      0.411036038237301,
      0.434755865886688,
      0.442226287968884,
      0.431932559169309,
      0.405368661433319,
      0.378182451599743,
      0.359182505757355,
      0.352071347984376,
      0.364302517028661,
      0.402209981490069,
      0.440797215773611,
      0.420381200270873,
      0.374168782079811,
      0.369596594301964,
      0.407219761299236,
      0.450451878509293,
      0.460905637928198,
      0.439643146403952,
      0.411667036078106,
      0.401080238507958,
      0.417021370608419,
      0.458619545975315,
      0.501411003430392,
      0.520823034545417,
      0.535979100622034,
      0.542812999490625,
      0.536889264528498,
      0.510970759766405,
      0.46945021899534,
      0.442153455746932,
      0.450214960649308,
      0.48454932241099,
      0.495256116919144,
      0.473203296981955,
      0.456646711428053,
      0.445535792540373,
      0.438734329806435,
      0.429637331704798,
      0.398182482926483,
      0.368047446464379,
      0.37164940525752,
      0.418398269973432,
      0.479250400230627,
      0.516174881969159,
      0.537144379142748,
      0.541274034027579,
      0.523276393352428,
      0.489437712102633,
      0.419563893223538,
      0.348067451133607,
      0.326160898145323,
      0.35504034466462,
      0.402479809610397,
      0.414800195659544,
      0.396931033409983,
      0.386614155772018,
      0.374412401782985,
      0.347318718259184,
      0.304538882418524,
      0.269755894321008,
      0.2628688582199,
      0.271245101392573,
      0.266955140302442,
      0.255739296483894,
      0.313250026575608,
      0.323204502493635,
      0.289441271649097,
      0.234391317456664,
      0.203069182632923,
      0.209488712370642,
      0.247521467318086,
      0.281185056943029,
      0.290775228842749,
      0.299459014791352,
      0.305915426598512,
      0.309244457349398,
      0.323043125062321,
      0.326658886929791,
      0.307083306436241,
      0.292606114860565,
      0.298201041382459,
      0.312285679211635,
      0.315960664925591,
      0.324550394005098,
      0.364561030585257,
      0.440381141554849,
      0.539604543410155,
      0.613872798255591,
      0.581164729531612,
      0.463470940375607,
      0.421916792676067,
      0.424722679535575,
      0.39909613250423,
      0.350804145076391,
      0.304032512204674,
      0.279973027245787,
      0.282968061829098,
      0.29525501484472,
      0.301198721706747,
      0.298837921851032,
      0.295295211483992,
      0.266415986368023,
      0.220576238817774,
      0.191014861685004,
      0.198321609432211,
      0.261801036310946,
      0.368356790149204,
      0.453406258102902,
      0.488305678147688,
      0.456923295215656,
      0.390247959785444,
      0.353013040698533,
      0.333485338112958,
      0.30864512096143,
      0.293844463437456,
      0.310563245777512,
      0.356928782710025,
      0.406382520827547,
      0.449256290003702,
      0.46906776700096,
      0.435324184031965,
      0.395807978990108,
      0.392346271010697,
      0.403736265421929,
      0.401945198271283,
      0.410070733283008,
      0.446841080766087,
      0.467082899080536,
      0.415080981844148,
      0.331203110759857,
      0.264628610652184,
      0.224549111260621,
      0.213142882625228,
      0.232543979969441,
      0.267924132305507,
      0.288749939563698,
      0.279963664856875,
      0.260521260356263,
      0.24650422882365,
      0.239177813048063,
      0.22812580074019,
      0.207281620931038,
      0.191456924794037,
      0.188659582461624,
      0.190114101548073,
      0.194948525289229,
      0.218812288688012,
      0.282059172403981,
      0.348994118582578,
      0.366702614817536,
      0.370957055748822,
      0.391984845259326,
      0.416268599224389,
      0.437285511997277,
      0.461350091362104,
      0.474114419289334,
      0.468122178765613,
      0.452462862084789,
      0.440382562552006,
      0.427180522193599,
      0.404441252971241,
      0.383432836114789,
      0.376416566045614,
      0.378625547765108,
      0.353556633126706,
      0.300599064933888,
      0.279612306698525,
      0.311309870555405,
      0.388747564296233,
      0.444144457459992,
      0.42858729370053,
      0.422424920008823,
      0.462718672252102,
      0.538900053194345,
      0.583545289136416,
      0.584581604686665,
      0.591342665571407,
      0.599212667393221,
      0.575088761123623,
      0.521107763447599,
      0.474072762528551,
      0.460786594953074,
      0.478315264258617,
      0.514768869365188,
      0.546276479418698,
      0.545924932194637,
      0.509067812862448,
      0.450483332286176,
      0.402328923965448,
      0.39091298149439,
      0.422407935380855,
      0.458544144013928,
      0.453167576707554,
      0.416144146276809,
      0.377231314363353,
      0.355953673478326,
      0.35277009492382,
      0.360571925056559,
      0.377573294931206,
      0.410749406805871,
      0.453319127914775,
      0.478710767396995,
      0.480424608386463,
      0.462367108402532,
      0.429356683010404,
      0.402536395419998,
      0.398805488572958,
      0.398923521459096,
      0.393665483477396,
      0.406556626146546,
      0.443777438692124,
      0.443111840188883,
      0.396504313946838,
      0.377838887826856,
      0.4035020556735,
      0.446795317004995,
      0.470511058515857,
      0.458137362196543,
      0.428903035189731,
      0.414181139568876,
      0.428289863692093,
      0.479821366330543,
      0.552086253077032,
      0.593855088786075,
      0.603345237312159,
      0.593373680320222,
      0.575793844890637,
      0.544754281677885,
      0.499781515954866,
      0.466077667158418,
      0.463340409768229,
      0.489947773139431,
      0.515413231951115,
      0.519255228585157,
      0.514676030095627,
      0.496954489287981,
      0.476768398680125,
      0.455814660308499,
      0.413213776600028,
      0.377358982652292,
      0.38488304516207,
      0.445655559350202,
      0.519836107557863,
      0.556865257242271,
      0.56990415033212,
      0.563784959900582,
      0.531989352277595,
      0.493105692710528,
      0.438295383598203,
      0.382213131723971,
      0.359798517568923,
      0.381030866033517,
      0.431211440313121,
      0.460404582538983,
      0.453162990601551,
      0.436947667241874,
      0.415361019649478,
      0.39930128153381,
      0.389613672569208,
      0.376936596657896,
      0.363609432929128,
      0.346574736442089,
      0.316276513444736,
      0.306882728509545,
      0.358050535901622,
      0.370414168355254,
      0.367771151231366,
      0.345777183999855,
      0.315950584358288,
      0.304118042537879,
      0.330514865426385,
      0.369873524318021,
      0.384022048875201,
      0.380583252966548,
      0.364594615947029,
      0.365864375964151,
      0.411812155920811,
      0.461336940795109,
      0.462959964055551,
      0.447339440088681,
      0.453175390327641,
      0.480127361625412,
      0.511010278211806,
      0.555547476613473,
      0.623847214145664,
      0.678666248927965,
      0.691084071184382,
      0.652445375649265,
      0.57086000909158,
      0.498842882105243,
      0.512153806200591,
      0.560030657648818,
      0.597909666277282,
      0.632443763053624,
      0.650211436797108,
      0.617890736013638,
      0.526218799164726,
      0.423992282446344,
      0.394780910638809,
      0.465274500762733,
      0.565423321273245,
      0.592367748979265,
      0.539883926498206,
      0.472928927353796,
      0.426668688659536,
      0.429082297009777,
      0.487311224726559,
      0.547231355419929,
      0.562626545976203,
      0.528524809507989,
      0.481038411569237,
      0.461765450611272,
      0.45174717267169,
      0.436739197850783,
      0.431356011553737,
      0.449377212688688,
      0.491107314520321,
      0.538928372143379,
      0.572679919617016,
      0.562381480245155,
      0.498912050041409,
      0.445358630247023,
      0.437241985861101,
      0.450470100259741,
      0.456890384133762,
      0.473669860213558,
      0.519080165969102,
      0.555845497654015,
      0.5349189544209,
      0.475620439327195,
      0.408500465222927,
      0.356356383995102,
      0.350433102568296,
      0.408861643088387,
      0.504826429249141,
      0.576027223485872,
      0.578155054554416,
      0.536729677711427,
      0.483681781198036,
      0.432202596381733,
      0.397755687885011,
      0.392017659816693,
      0.413076960413625,
      0.434258278996673,
      0.427127674264713,
      0.408615386466234,
      0.406829039591637,
      0.43507430277274,
      0.45724899930951,
      0.45403229464693,
      0.453978095721346,
      0.473644909782392,
      0.517622376142528,
      0.587145116215956,
      0.648469252400395,
      0.660926887177405,
      0.642238220166488,
      0.623435929580197,
      0.59767585775026,
      0.555997416386962,
      0.517052458036775,
      0.491156537390799,
      0.482376240113047,
      0.49435301572309,
      0.504659694810074,
      0.470742458491464,
      0.428010341091395,
      0.426808442498911,
      0.498935330618758,
      0.601930424773632,
      0.609441908794801,
      0.57973725131352,
      0.575295355122464,
      0.60681108850129,
      0.638637947990311,
      0.639807115518019,
      0.632263598829303,
      0.619603002456047,
      0.591693881216692,
      0.558023356878848,
      0.531915504299646,
      0.519324849410435,
      0.523221945051793,
      0.552233104130537,
      0.588376832928325,
      0.595090193186204,
      0.563870199363093,
      0.511382003718398,
      0.471730643197957,
      0.473232300315628,
      0.521262922563254,
      0.56237337752377,
      0.545553258922499,
      0.504593903567093,
      0.477522915121622,
      0.474897897348007,
      0.49208788747402,
      0.512233668981297,
      0.525282485285802,
      0.547113087486231,
      0.589529044200031,
      0.616768958796455,
      0.606838808055766,
      0.577087373518462,
      0.536011385510012,
      0.502985063201725,
      0.517955474391243,
      0.548184272425885,
      0.545792651463688,
      0.526576168530391,
      0.52336840294581,
      0.50840650056033,
      0.45540356937836,
      0.429494334530046,
      0.456543782568212,
      0.510366883044247,
      0.545615562576779,
      0.527326971035826,
      0.486435134830425,
      0.471937649096459,
      0.498178418767705,
      0.566063056185394,
      0.641431204949686,
      0.667813963704149,
      0.66081143955693,
      0.644231783006528,
      0.630900834722706,
      0.605340392365785,
      0.558111108165243,
      0.51576733108129,
      0.504153475660435,
      0.533345752316286,
      0.580887316486731,
      0.609826786840616,
      0.617274084835729,
      0.606279530019912,
      0.59587881030352,
      0.575729233155527,
      0.513863175302598,
      0.456567349352736,
      0.457463031097839,
      0.521801376236851,
      0.595350075824746,
      0.621353099249197,
      0.618072323404999,
      0.590860301474012,
      0.543659091395474,
      0.518842248004746,
      0.501800662504201,
      0.462454110269623,
      0.430182256382118,
      0.441382876989493,
      0.509651867514762,
      0.5864392870249,
      0.616516376193599,
      0.604529668410304,
      0.566874801183055,
      0.560607180205979,
      0.598192277000252,
      0.615072521530045,
      0.587253706167219,
      0.533630974480867,
      0.471353114629164,
      0.315241782188786,
      0.380729674317564,
      0.436812769158303,
      0.499485189514511,
      0.518524268601055,
      0.495371489028423,
      0.48403772734799,
      0.520567931093168,
      0.565693000038856,
      0.565853483694277,
      0.542178784541825,
      0.517358253964,
      0.525998222198903,
      0.571374347601031,
      0.606382699718479,
      0.602444024798164,
      0.594728062772139,
      0.6074191741476,
      0.63038480502842,
      0.63947329728862,
      0.607559198496354,
      0.553681645342358,
      0.497331248290762,
      0.44909467861619,
      0.428347911945802,
      0.476790835347221,
      0.565189490327794,
      0.567140081359599,
      0.494427973849307,
      0.47332261631926,
      0.525512250695781,
      0.594497467715782,
      0.621025467897489,
      0.600315736214744,
      0.583890502620589,
      0.586035918897037,
      0.602945097675063,
      0.652318131045389,
      0.688806372002939,
      0.684938783862564,
      0.667354162165696,
      0.653444224900918,
      0.658486809372144,
      0.681032149401262,
      0.689183290489236,
      0.65391066469061,
      0.605436407023542,
      0.604900117996624,
      0.655326899862939,
      0.705895248747598,
      0.71630500441776,
      0.697918560517996,
      0.682069159640346,
      0.685735809453344,
      0.698385101689616,
      0.70117743019669,
      0.668601348878872,
      0.599714104519537,
      0.555858927924739,
      0.568222762240203,
      0.602966450374269,
      0.613057131122274,
      0.614343528061516,
      0.647870960168371,
      0.694062866065743,
      0.690646145039714,
      0.639298628891847,
      0.58849212444206,
      0.581861935108393,
      0.616251540262941,
      0.659623186093529,
      0.679014155011479,
      0.67356184223393,
      0.654441059718069,
      0.642933126077714,
      0.648430020027031,
      0.664673019144411,
      0.681021974797003,
      0.69242528330186,
      0.711843431630913,
      0.724549518340822,
      0.713645313261527,
      0.699889916862696,
      0.69675401259654,
      0.698901086462731,
      0.662552716104862,
      0.593558908564934,
      0.548248262063889,
      0.549207102788319,
      0.604532375533812,
      0.664635201523927,
      0.673199762481932,
      0.655985109233976,
      0.658353334729386,
      0.686763554146314,
      0.702081654386591,
      0.673395779995341,
      0.627785006348039,
      0.597232695009805,
      0.604340995440934,
      0.649167753588598,
      0.683467536353771,
      0.652598139331975,
      0.606423106661516,
      0.602856052722981,
      0.659000384015523,
      0.707858821754485,
      0.668257967502569,
      0.619407358362644,
      0.606269854147342,
      0.640245324846501,
      0.68550142130443,
      0.693041270436534,
      0.679685681066313,
      0.669515999958012,
      0.656260980215986,
      0.631395470817857,
      0.600139958036685,
      0.578882982058212,
      0.57753867812408,
      0.606613643659879,
      0.65740279731307,
      0.682798820573712,
      0.659294482861126,
      0.619166587547503,
      0.608248471732477,
      0.640769398266572,
      0.693781560105491,
      0.705783711631161,
      0.657082432823901,
      0.620027582402077,
      0.630632189690717,
      0.662654410657729,
      0.681086594768242,
      0.676931145459446,
      0.670677712319234,
      0.682653654240395,
      0.716922999064131,
      0.73533743044062,
      0.718670939237862,
      0.695468010730625,
      0.686081406114271,
      0.688446507124426,
      0.682448626701945,
      0.641579181695985,
      0.580515382228676,
      0.544229300425171,
      0.564424610825314,
      0.590023314461723,
      0.564707587229357,
      0.548851116440955,
      0.584470490300444,
      0.651217723211905,
      0.687584312130685,
      0.645245239284948,
      0.577347052746599,
      0.551307658924055,
      0.578534553979088,
      0.649625901251524,
      0.707850374140002,
      0.702340147881299,
      0.676300656824685,
      0.654361045265647,
      0.653545977497585,
      0.656970220574923,
      0.637813662596585,
      0.614511545157005,
      0.621462064680932,
      0.672174183465423,
      0.714166719299213,
      0.706436642319736,
      0.682531227697432,
      0.669545596066072,
      0.686159450063456,
      0.701509997897025,
      0.662074088683237,
      0.610184541397811,
      0.59623791378811,
      0.617085389597251,
      0.635527142160421,
      0.635127752689303,
      0.637569979841295,
      0.631848401114213,
      0.618364348513802,
      0.626346000199117,
      0.620751491611722,
      0.571501647218962,
      0.52534284666537,
      0.531615981805457,
      0.616597534069113,
      0.723369175928988,
      0.756991815078835,
      0.726522236835854,
      0.680880383896065,
      0.668652819908078,
      0.682688060196581,
      0.688032043186753,
      0.682541429081837,
      0.668917419861518,
      0.635870301170032,
      0.27933156509211,
      0.37773864877301,
      0.46123021673746,
      0.513232926235762,
      0.509223626969601,
      0.481486946950355,
      0.467608823873161,
      0.48028082091551,
      0.49607718842353,
      0.503195620495962,
      0.527188041249447,
      0.560635073279839,
      0.577427498031948,
      0.568117690371856,
      0.526064772740807,
      0.478746412371603,
      0.466131865171391,
      0.492966754428638,
      0.532971168993458,
      0.532542549475219,
      0.44714087206299,
      0.325623168616902,
      0.238185248721105,
      0.216738775712441,
      0.26689316323023,
      0.379003433863001,
      0.455116321559547,
      0.401830379600896,
      0.292994398329648,
      0.226302897001567,
      0.217879735847713,
      0.25530187666107,
      0.325664459943301,
      0.408487784130897,
      0.495381235740971,
      0.556393456690904,
      0.530028465915249,
      0.437918611858607,
      0.356509874837955,
      0.344183040101591,
      0.394044229152314,
      0.488837246200392,
      0.604224708113778,
      0.666900638809445,
      0.656495680253056,
      0.641527536558726,
      0.634225801870175,
      0.631614037597394,
      0.628525060687789,
      0.612898834874625,
      0.589804429912219,
      0.584756551242913,
      0.607405549666406,
      0.635899276258549,
      0.634962380276319,
      0.628464450314137,
      0.640283027637038,
      0.646710989579529,
      0.655240381080546,
      0.668683763480917,
      0.663804799467896,
      0.652571913644375,
      0.664869879958871,
      0.694506826000518,
      0.698665189808648,
      0.653551338384618,
      0.607960771234568,
      0.587990170007212,
      0.572944376928169,
      0.519438778009913,
      0.440905356911755,
      0.368195442769981,
      0.329099197303741,
      0.330436060146599,
      0.36864526179723,
      0.442473190037325,
      0.533793742359199,
      0.600101622902141,
      0.616008233752354,
      0.598749171073489,
      0.573752836365364,
      0.563325407610974,
      0.576239393002653,
      0.603926782232674,
      0.6355540231285,
      0.620200892858752,
      0.544519412845383,
      0.492305390027045,
      0.500390634198583,
      0.551179914262241,
      0.561664043220696,
      0.505287500163139,
      0.463622314907995,
      0.479557435597333,
      0.534046874198299,
      0.577563435024394,
      0.560987310069432,
      0.511902247196757,
      0.477344334204987,
      0.482240076473493,
      0.525563216753272,
      0.559657476735681,
      0.544194162203223,
      0.521381294703066,
      0.530038968230903,
      0.562950721319814,
      0.547364109763269,
      0.495015240899059,
      0.49124304741932,
      0.543860706208692,
      0.631648819475222,
      0.668488381648698,
      0.634807073407933,
      0.60127996411266,
      0.60687327137405,
      0.628269838315436,
      0.623663811594444,
      0.593907569040425,
      0.572193430237853,
      0.570770099154871,
      0.589598790947931,
      0.630396309114505,
      0.647249141649957,
      0.609057278881965,
      0.570000436114283,
      0.575947402995176,
      0.611022248352309,
      0.625608810115604,
      0.606762097948811,
      0.594686071791251,
      0.604786675551168,
      0.631725524564002,
      0.671204117764892,
      0.68867835318062,
      0.667006564248867,
      0.643017704775508,
      0.644006514208275,
      0.647108140231192,
      0.629185900512503,
      0.605671776997919,
      0.593580391969352,
      0.613352889998262,
      0.640899741535762,
      0.604223414847003,
      0.514873405396928,
      0.460644328900828,
      0.480059577346898,
      0.5495032106473,
      0.590980720326887,
      0.595664797294086,
      0.609117537671517,
      0.635764226511295,
      0.660051495332027,
      0.670975060671419,
      0.653222963044007,
      0.605236045010423,
      0.565684364382134,
      0.556145189803287,
      0.580226701456237,
      0.616566494942215,
      0.641881518827175,
      0.655358664458866,
      0.641124146161821,
      0.619091521075294,
      0.612325009986374,
      0.62236405844075,
      0.645200912452958,
      0.676857534367646,
      0.700812494237929,
      0.680299956801562,
      0.639986096019607,
      0.631594828534841,
      0.6447410782844,
      0.652505169280727,
      0.634582009859482,
      0.594520784217097,
      0.575616357888227,
      0.58707093173447,
      0.603304678788798,
      0.594390591061652,
      0.580323033794378,
      0.606489192570987,
      0.654107128104637,
      0.681840758553421,
      0.68139284467591,
      0.631469325556821,
      0.566977112953007,
      0.543499586691262,
      0.569152798023085,
      0.621159257401159,
      0.639617383472589,
      0.618151819254743,
      0.613380876889825,
      0.630617226186061,
      0.623006871991808,
      0.557397277125871,
      0.496020921309093,
      0.494703835027537,
      0.527949924248859,
      0.540014558859109,
      0.216868243241095,
      0.328354114979573,
      0.414128685511825,
      0.415556372060155,
      0.341300805223875,
      0.290587301318737,
      0.290763808616541,
      0.309439796500506,
      0.311786605737112,
      0.328128465581088,
      0.391450909125356,
      0.452477894376174,
      0.459878740145908,
      0.415546733315146,
      0.335196351912856,
      0.268838018575022,
      0.258861577479301,
      0.298163462149986,
      0.340853319069562,
      0.330156544781733,
      0.256088232333467,
      0.1722898221987,
      0.124303859676307,
      0.130841573715403,
      0.201527625984597,
      0.313265357356462,
      0.361940751438256,
      0.310947724926579,
      0.229417335065454,
      0.166197988363486,
      0.133661396475312,
      0.132623704446509,
      0.162516433823185,
      0.215830748764413,
      0.286355421000598,
      0.34530176471032,
      0.329367381477069,
      0.245042938573381,
      0.162122630804153,
      0.141087695527839,
      0.178172044084488,
      0.26026846142753,
      0.375466475235416,
      0.471648372494836,
      0.51032301770649,
      0.530372941618031,
      0.529821514970793,
      0.495105980686363,
      0.446234368631002,
      0.392779646454077,
      0.351443562571546,
      0.34496400921965,
      0.376438705590977,
      0.424964909426284,
      0.459011895892033,
      0.492769082875999,
      0.527337858662587,
      0.52403786544779,
      0.50365009261871,
      0.491707674982445,
      0.485441433836033,
      0.495287482994173,
      0.531066253799612,
      0.57027816915082,
      0.556241479393936,
      0.477716666574804,
      0.41349168834291,
      0.391181190165223,
      0.382867569984309,
      0.347322330673334,
      0.297707940429294,
      0.253557447712967,
      0.21995425983972,
      0.207832744172407,
      0.22111529973623,
      0.254728889757295,
      0.289645943686777,
      0.307781780210042,
      0.309053177381981,
      0.295316317454019,
      0.272621818397433,
      0.257597053898661,
      0.26314422225521,
      0.291472175376986,
      0.341781406033688,
      0.38030369083756,
      0.383269373873028,
      0.391788176437888,
      0.421414993906567,
      0.450617122329191,
      0.437036455724027,
      0.38576436213463,
      0.350318753950913,
      0.356061140899038,
      0.392977808288108,
      0.417978487287799,
      0.395162943345143,
      0.35994972041617,
      0.342376046617616,
      0.341901561979931,
      0.352351453611701,
      0.351145086075237,
      0.324548970509222,
      0.309570408982817,
      0.339474869461375,
      0.412346470252127,
      0.450685541603968,
      0.434319194050443,
      0.46090851324173,
      0.542583024120895,
      0.627440254447123,
      0.63043934176493,
      0.57890914649529,
      0.545673607529629,
      0.543124086489832,
      0.552945025940717,
      0.554325291078699,
      0.546512151793725,
      0.548318664160602,
      0.563796053274396,
      0.581058842690194,
      0.589886393277171,
      0.568921536203143,
      0.508812709960398,
      0.444718390320828,
      0.416129462635803,
      0.426940945473718,
      0.447897999316354,
      0.469012898615324,
      0.512988118680705,
      0.552913176796559,
      0.555159936944422,
      0.535376496495532,
      0.506932673551191,
      0.480554361268618,
      0.472410101289538,
      0.484767295262178,
      0.492288696187661,
      0.48553256157285,
      0.475626623840688,
      0.461762811881689,
      0.462961821497624,
      0.471895605404114,
      0.445518786679774,
      0.400382037063409,
      0.400396948958975,
      0.456548297308058,
      0.514307079195717,
      0.511321648871206,
      0.502795193141592,
      0.522916326453125,
      0.539456137824051,
      0.536455023872133,
      0.54075145487674,
      0.550514655349158,
      0.522758500270821,
      0.484484990615636,
      0.467693287575503,
      0.48015832427516,
      0.51253038105025,
      0.55768329891425,
      0.60225602360379,
      0.607417463324015,
      0.581164916297033,
      0.545296443030828,
      0.519557651666027,
      0.51964768414287,
      0.545195275247965,
      0.565672545887451,
      0.53839250833972,
      0.50616068512166,
      0.523046096162762,
      0.558181979219372,
      0.55770366301515,
      0.504358148792298,
      0.438095200176584,
      0.419092148578586,
      0.448295173411491,
      0.49250963624654,
      0.511454345945988,
      0.516606180987711,
      0.555961434501591,
      0.603735182703878,
      0.609017475907857,
      0.578166890921342,
      0.51010043188356,
      0.452842031848907,
      0.451370065021297,
      0.491573540551924,
      0.523276158447548,
      0.494507460142083,
      0.457027278535142,
      0.466520070478873,
      0.49413722198293,
      0.478724660592354,
      0.393911469867129,
      0.317457306549598,
      0.310389626477087,
      0.342742118581498,
      0.353961543878023,
      0.149852048307023,
      0.252092224914725,
      0.338142411091466,
      0.33795417888039,
      0.258299770316396,
      0.206508310065457,
      0.213168073870699,
      0.240370892296076,
      0.250027849246087,
      0.268273341531974,
      0.317236429043268,
      0.357620375727371,
      0.365960384806293,
      0.34149748502926,
      0.268607884033028,
      0.188382316137338,
      0.162393834835154,
      0.189209829816004,
      0.220523879133113,
      0.209796609983754,
      0.163292560345288,
      0.119745578594655,
      0.10224934803815,
      0.124304131099027,
      0.197260868213269,
      0.293382833583437,
      0.328018059094902,
      0.299552233269055,
      0.244460710902196,
      0.182514183113762,
      0.135607338396323,
      0.12108382083135,
      0.145187375642474,
      0.195557755527583,
      0.253724791460603,
      0.292809618097994,
      0.275701557433499,
      0.209181976885225,
      0.138649611660827,
      0.108676883856632,
      0.118379271550992,
      0.162606990691286,
      0.246707125428934,
      0.349177461678612,
      0.420152539388507,
      0.457118735976201,
      0.457648255463964,
      0.417462612680377,
      0.365540380709122,
      0.309184076630572,
      0.260155611433779,
      0.243139537625176,
      0.268558932788661,
      0.32298629802385,
      0.373763594439587,
      0.417277068790933,
      0.449960694601398,
      0.442965603516617,
      0.420845272519307,
      0.409006170998924,
      0.398338218580248,
      0.394193129495784,
      0.418600147533182,
      0.462106504406327,
      0.464514811601823,
      0.392744285946177,
      0.31837047269322,
      0.27888165571388,
      0.257484482963356,
      0.243061701680447,
      0.251247029082812,
      0.268002235772753,
      0.252330152732718,
      0.210380108907895,
      0.18265870143389,
      0.182032570755563,
      0.187878069075153,
      0.176729909676394,
      0.162128091068175,
      0.157447178375929,
      0.154211977590137,
      0.151298691913436,
      0.160185590313412,
      0.190828194400784,
      0.248952595328524,
      0.309920176513144,
      0.348597862427994,
      0.382347963651707,
      0.406488599489859,
      0.395457387732258,
      0.350574300273762,
      0.312995848647199,
      0.311331669339391,
      0.34146295888104,
      0.38216475198446,
      0.398053644071412,
      0.371913882707963,
      0.336480406274423,
      0.31266133601833,
      0.306082162190959,
      0.313429393933399,
      0.302973349982673,
      0.262507896341291,
      0.243681054257832,
      0.286111841617027,
      0.38539304187974,
      0.447053386055141,
      0.428525523838475,
      0.440930352599293,
      0.50466540598926,
      0.568211118459473,
      0.571952105747178,
      0.549958069611607,
      0.544547741928699,
      0.544820024292865,
      0.537113565101243,
      0.525386357408716,
      0.513534609595584,
      0.512326314208643,
      0.535921801640644,
      0.57488242679747,
      0.584503041915682,
      0.536866360532842,
      0.462241287177531,
      0.39505412042668,
      0.353705670815454,
      0.348381024022152,
      0.372719462893131,
      0.41031430387775,
      0.447575608224346,
      0.462424643968155,
      0.444128283088572,
      0.407786297143758,
      0.365778344418993,
      0.334208651322819,
      0.331560592152498,
      0.359085275289884,
      0.394060633774999,
      0.414338327078741,
      0.41713437721793,
      0.405575590498667,
      0.395194754590577,
      0.391029398221244,
      0.373814696279396,
      0.348543474991677,
      0.353301265830761,
      0.40102783401075,
      0.451160306269024,
      0.439862255472735,
      0.408970716994161,
      0.410939029276665,
      0.433144446785637,
      0.456037926978005,
      0.478312170397446,
      0.485996984097276,
      0.463333521052836,
      0.4402761542383,
      0.437680549444124,
      0.454275531619428,
      0.471574219175735,
      0.495203814098602,
      0.534120512471948,
      0.549854514800162,
      0.537956460088196,
      0.505424809180258,
      0.464445735532512,
      0.441233411200214,
      0.453147273617326,
      0.482953700892242,
      0.480047019461608,
      0.453767528144844,
      0.451242912282885,
      0.468163402779497,
      0.47725370055939,
      0.449087176675964,
      0.39008382422599,
      0.35951237380815,
      0.37839388357623,
      0.424319424918815,
      0.456900478320742,
      0.472767680758991,
      0.504752952829383,
      0.527821833577436,
      0.511396425696701,
      0.482491459941183,
      0.430921105079874,
      0.374884292273459,
      0.361577161516068,
      0.396873183553971,
      0.441679196070947,
      0.431833625778416,
      0.395108473745096,
      0.387417757667473,
      0.394835143007678,
      0.376179209245111,
      0.310361559137796,
      0.246939497181563,
      0.2308992804994,
      0.245654163934731,
      0.249592438376143,
      0.139578211950906,
      0.219694205784563,
      0.283503911921072,
      0.284270363168744,
      0.224872587447444,
      0.180234451547798,
      0.179003523268775,
      0.204874362731478,
      0.232034008534284,
      0.260454770557296,
      0.29208176869007,
      0.30657713925499,
      0.304766621434847,
      0.291251616362201,
      0.239335633155001,
      0.175759695503845,
      0.158835910213242,
      0.186667359444475,
      0.211592991953682,
      0.193955944949437,
      0.155169713444377,
      0.13264929301984,
      0.142105373426428,
      0.193832557489213,
      0.281645658996463,
      0.352316466628959,
      0.346268375607489,
      0.308117678533576,
      0.254346693699788,
      0.193886954989103,
      0.14769993468386,
      0.13349396485153,
      0.158412746544565,
      0.20781179355857,
      0.253169290423626,
      0.2677511308215,
      0.246726605955081,
      0.204504861663306,
      0.154400642141159,
      0.121083958771522,
      0.114921525856906,
      0.142292200108913,
      0.217263737367078,
      0.32182110414729,
      0.393799744008415,
      0.423200070830462,
      0.409628203184622,
      0.359933352060593,
      0.312421034141326,
      0.267288213894766,
      0.223973168254006,
      0.207188677227602,
      0.235399765427917,
      0.298832750543684,
      0.356491522972616,
      0.398497073899894,
      0.427711404351527,
      0.415605632384725,
      0.384941516180999,
      0.364340114531709,
      0.345828873284192,
      0.333061292693749,
      0.354139761934135,
      0.410070887501206,
      0.44069970643351,
      0.384470380612551,
      0.296590867111135,
      0.236170360236494,
      0.213969881427755,
      0.215913112628708,
      0.2329385145968,
      0.250829612644218,
      0.244571317052157,
      0.216041288458307,
      0.190924455381905,
      0.181000140230036,
      0.174405430627476,
      0.155575351692443,
      0.136015298606196,
      0.130892439223987,
      0.134910800246646,
      0.140466332892311,
      0.155302257620535,
      0.193757828430496,
      0.266455993466897,
      0.339004755763089,
      0.377610336760487,
      0.403809215923565,
      0.410501955896358,
      0.370834986292587,
      0.310843462447719,
      0.283478333282846,
      0.298935782976492,
      0.34355770710296,
      0.39576999558805,
      0.422357038726929,
      0.406608803211618,
      0.379872101046908,
      0.354654574757959,
      0.333107042430519,
      0.320888612990146,
      0.300469808067476,
      0.260374482717956,
      0.239661761128524,
      0.27573673989286,
      0.373313593033526,
      0.43820861694753,
      0.408706566032425,
      0.397451311466615,
      0.44065252586501,
      0.506156755934954,
      0.53302558067655,
      0.529996114645065,
      0.535975486054094,
      0.547540525247232,
      0.545191045611818,
      0.522273276434131,
      0.490377926060833,
      0.474506394562228,
      0.496580950969558,
      0.545576383331806,
      0.562853244795668,
      0.513125943327409,
      0.438665766495133,
      0.377814078312928,
      0.338683517323421,
      0.330468003164045,
      0.359669444759986,
      0.406578160558171,
      0.431948189008526,
      0.421160681334445,
      0.390664825760718,
      0.357776477981982,
      0.324899774229121,
      0.303255648030999,
      0.310367027720034,
      0.344721455638908,
      0.378391715734596,
      0.386992733558623,
      0.382263913997051,
      0.375940027009721,
      0.370309357820167,
      0.363830386325656,
      0.347488432730348,
      0.328667669322027,
      0.333801250055622,
      0.374068408994819,
      0.418211186098431,
      0.408812186106608,
      0.373962122219379,
      0.367579552068427,
      0.393164757408693,
      0.431712919537657,
      0.457742072250603,
      0.451194102875743,
      0.428390180130818,
      0.418450274810396,
      0.427105001594946,
      0.449435158391257,
      0.46563898641838,
      0.475513416700316,
      0.494884118239793,
      0.503253165998914,
      0.502234496171104,
      0.487478585523937,
      0.456683328821974,
      0.434463145114476,
      0.444832367957537,
      0.474117866269756,
      0.469237316045749,
      0.436083332784928,
      0.422786520023822,
      0.431842461032671,
      0.444696766490155,
      0.431035501250196,
      0.379243318941549,
      0.340352512316175,
      0.35062988292243,
      0.40418560828614,
      0.459475273130542,
      0.486547585952634,
      0.508130154113362,
      0.514441903962357,
      0.486017536659375,
      0.453037186321284,
      0.406808448063367,
      0.350302398447221,
      0.324379209863,
      0.345793550773377,
      0.393545694387375,
      0.407399825194097,
      0.38670537928249,
      0.375571579501697,
      0.366354329503804,
      0.337990374129278,
      0.286750915190187,
      0.244708609040413,
      0.23449052019493,
      0.241185751079204,
      0.23625569459019,
      0.1676668326798,
      0.232088750523601,
      0.272246268311103,
      0.270429475919933,
      0.22936780008953,
      0.197733843980544,
      0.202621639568226,
      0.23661643772113,
      0.265836155739733,
      0.278937308814421,
      0.290655269756361,
      0.290778089583983,
      0.278212683704998,
      0.265699293090238,
      0.235397381228134,
      0.199237302814032,
      0.199245284310604,
      0.233183482462932,
      0.261542519974389,
      0.256423226665696,
      0.246762751981044,
      0.265363687084909,
      0.320383704946506,
      0.412738828874201,
      0.502294799143118,
      0.501698791063429,
      0.412775459404281,
      0.35328509313026,
      0.302834337266803,
      0.247803866488263,
      0.20458171053843,
      0.184353939198884,
      0.192249499031989,
      0.220973005486796,
      0.252103118511755,
      0.26597545516869,
      0.259355686430048,
      0.244274914955706,
      0.213317922959899,
      0.174961658990162,
      0.1525947012881,
      0.164082291841987,
      0.228972719467379,
      0.328490917122912,
      0.395764949171708,
      0.426044559171221,
      0.407302116859713,
      0.347238353895998,
      0.303432158016777,
      0.276078510648966,
      0.248169780028604,
      0.235303457754602,
      0.261584371056522,
      0.324308127883544,
      0.383905840375691,
      0.424805201396419,
      0.435470242275814,
      0.391015458413526,
      0.342574913009345,
      0.327127630511505,
      0.322790649721851,
      0.315504886129338,
      0.339175658163544,
      0.40334477146071,
      0.44633644046492,
      0.39894788930832,
      0.306266652819941,
      0.234873269757945,
      0.217618373794427,
      0.240369458799342,
      0.262205077624423,
      0.258357590400348,
      0.238830898366797,
      0.230393666215769,
      0.234373492342813,
      0.237757614815191,
      0.22501620129626,
      0.198799717271852,
      0.183167282660374,
      0.18701472486386,
      0.195148308007264,
      0.192313567148794,
      0.193219998899413,
      0.222857220054908,
      0.290201456094342,
      0.339912338470601,
      0.340732901513585,
      0.339168119157177,
      0.345042868459804,
      0.337766341715981,
      0.325572016009222,
      0.325568103294574,
      0.33368880008748,
      0.351925826893931,
      0.386303105721285,
      0.418921946079054,
      0.420297061538568,
      0.402598709979754,
      0.372987481872145,
      0.334552059902236,
      0.305145335464837,
      0.294858577139945,
      0.280629842363269,
      0.266245034607003,
      0.281577358918286,
      0.34393136703709,
      0.394175878495476,
      0.370760445061364,
      0.361452690691529,
      0.407058962430808,
      0.486692232856062,
      0.52134888092549,
      0.503953543758448,
      0.498003846004151,
      0.513599286254676,
      0.525362499274038,
      0.510211303305121,
      0.472236427410249,
      0.442498178323286,
      0.450003865072906,
      0.496535900628898,
      0.532391298324292,
      0.509534812640814,
      0.448054923923089,
      0.386395894941907,
      0.346530278965791,
      0.343098139046003,
      0.381231795249007,
      0.431340251589023,
      0.447005895279673,
      0.422190439322858,
      0.384031919701415,
      0.354815967558765,
      0.339276734500832,
      0.340085376173749,
      0.362019629017667,
      0.401070961411691,
      0.430671816035905,
      0.42466596876827,
      0.402321066153991,
      0.388753381904028,
      0.384622921380321,
      0.380383576055666,
      0.366233444448758,
      0.349309283898174,
      0.353175575749486,
      0.391520329598299,
      0.437748820663275,
      0.430395701230244,
      0.386955425725919,
      0.371406279346765,
      0.394693622363185,
      0.432143964858409,
      0.446752029098031,
      0.423888160238554,
      0.397069067497663,
      0.39398692780679,
      0.416950140545951,
      0.461477258795191,
      0.500031067926516,
      0.514138856182741,
      0.523999571672372,
      0.516060608777136,
      0.49728436460413,
      0.477463576428776,
      0.455713091974381,
      0.444948509817087,
      0.459194292586623,
      0.484094176063966,
      0.478241997120369,
      0.454808090481198,
      0.451783930706288,
      0.456799994096854,
      0.453065080219579,
      0.428733433316251,
      0.37554875361565,
      0.332618304217202,
      0.341648101881177,
      0.412162843336509,
      0.496068994065403,
      0.53434437551885,
      0.546833954152771,
      0.538594671328175,
      0.494114487690593,
      0.445554504525855,
      0.401179417955796,
      0.358771248612358,
      0.338650689236651,
      0.352584002983954,
      0.393092455970657,
      0.417643107613621,
      0.40725368620748,
      0.388148060822856,
      0.363971589559941,
      0.339127517624876,
      0.317251978020248,
      0.299392062835884,
      0.286694680504216,
      0.271673497147167,
      0.245657528020037,
      0.179843183857515,
      0.241193972806163,
      0.27596743264549,
      0.276313313197107,
      0.246766404674873,
      0.231957946819923,
      0.255914449411716,
      0.300203226833174,
      0.316037696600151,
      0.301706076312001,
      0.294411576688374,
      0.288847976385174,
      0.281116702269464,
      0.28406242704465,
      0.279421818573683,
      0.261527707189738,
      0.260951978042261,
      0.282105423430603,
      0.307877374044482,
      0.338015480351726,
      0.390033830099726,
      0.46807242672414,
      0.546649081580672,
      0.609124460103283,
      0.621733070791318,
      0.556018920954714,
      0.465116843250577,
      0.405563059038484,
      0.346952507338714,
      0.28975715044086,
      0.249528373780558,
      0.229118784473116,
      0.226289309165485,
      0.234363681571568,
      0.248976308128606,
      0.270139132971464,
      0.289452947346064,
      0.299903793479125,
      0.286563894633273,
      0.257193341059426,
      0.234579287660156,
      0.235466685314398,
      0.281052925140554,
      0.365286993312165,
      0.433094241246639,
      0.467498033061387,
      0.44523462250656,
      0.37803064417501,
      0.338705272291706,
      0.329197218881414,
      0.320556863683493,
      0.318465038854156,
      0.349260219222212,
      0.413729078757348,
      0.470256338234267,
      0.499348295267894,
      0.488698419945979,
      0.423418519504571,
      0.364009576371539,
      0.34740504328628,
      0.348964011525379,
      0.349112872666823,
      0.375642516930857,
      0.437320047196653,
      0.474353611911274,
      0.428311364921825,
      0.343666066100448,
      0.277753865723596,
      0.256812470214336,
      0.267668997317628,
      0.278641902618608,
      0.270739844520118,
      0.25249059946472,
      0.244561079508601,
      0.251228176291818,
      0.266780217660349,
      0.276956177428609,
      0.271574082958036,
      0.274727836292871,
      0.304642243970073,
      0.330008954711843,
      0.320609202617382,
      0.298099912327204,
      0.29698634560228,
      0.329642327085549,
      0.348622826167146,
      0.335221498444015,
      0.332517831578263,
      0.347298909013354,
      0.361652269881527,
      0.377254256985156,
      0.394395467901697,
      0.401303518540274,
      0.406103352334484,
      0.423760202943195,
      0.438794752265208,
      0.424777784196829,
      0.398489368173849,
      0.371203506571965,
      0.341600637773398,
      0.321275928229853,
      0.33185315724882,
      0.343424000573056,
      0.338430958891192,
      0.34084889441747,
      0.378009819573788,
      0.417391232255393,
      0.396037277352077,
      0.385609145565216,
      0.427405611554545,
      0.505678224200285,
      0.538997036225186,
      0.515204919723421,
      0.500379164330908,
      0.506712905526955,
      0.517954382243146,
      0.517465900982579,
      0.49314664953389,
      0.458570538631741,
      0.446354823551186,
      0.479634795664866,
      0.526723309358354,
      0.531788394855592,
      0.487062080277231,
      0.421701355874184,
      0.373047122089322,
      0.369295474833962,
      0.418486806571632,
      0.47919167976657,
      0.490339956142731,
      0.450243728335236,
      0.404043268032346,
      0.383728059507839,
      0.383841752938643,
      0.38991704804193,
      0.409511792971427,
      0.453676593915381,
      0.498441840725855,
      0.505204918943489,
      0.4859022465857,
      0.467785884022261,
      0.454013899679748,
      0.444948700715801,
      0.435816647815677,
      0.413532410708008,
      0.392347051840268,
      0.403253626005837,
      0.444362109883952,
      0.45255355480609,
      0.413894809505134,
      0.395691273345204,
      0.414611889221137,
      0.443854442562907,
      0.450379624130079,
      0.425857972537152,
      0.402492083390428,
      0.407470890293025,
      0.444661838582143,
      0.508018832409226,
      0.559951986728781,
      0.572098640463658,
      0.575120287901724,
      0.557461634388093,
      0.525770534817492,
      0.500013060944205,
      0.479450050268744,
      0.469873322457723,
      0.478881009045856,
      0.498751136839775,
      0.503702362142631,
      0.497983212862741,
      0.502953446739032,
      0.502647138565557,
      0.487062392697347,
      0.452350784332382,
      0.394652478186989,
      0.352212566609183,
      0.361660438034791,
      0.433136638818438,
      0.524061905351777,
      0.571630967365875,
      0.58133607002238,
      0.554371114111699,
      0.492271872439117,
      0.444801359978652,
      0.417144106417252,
      0.384628530931048,
      0.362098956883889,
      0.370154600640395,
      0.413403693363157,
      0.457058854790379,
      0.47147380770258,
      0.465070414219693,
      0.436690531473725,
      0.410049145840842,
      0.400506437914578,
      0.391828889095875,
      0.375844833416763,
      0.351610654979756,
      0.317577417408905,
      0.173286254415293,
      0.238575291270108,
      0.276417555111793,
      0.276529229720149,
      0.248604641570795,
      0.235884257874507,
      0.254745324793588,
      0.292158525242848,
      0.319575859350498,
      0.330334273132246,
      0.338193556218248,
      0.332895795370657,
      0.319294544899537,
      0.308383476928416,
      0.286431008718851,
      0.269490061341351,
      0.292596352219428,
      0.346894422978241,
      0.395500495819378,
      0.428167329031221,
      0.47040672275618,
      0.52042585773473,
      0.537362744354329,
      0.517166542774774,
      0.480361786377817,
      0.462337651596583,
      0.447309174145117,
      0.379777358041157,
      0.292068026649148,
      0.234676081898972,
      0.21583311076769,
      0.2219137463535,
      0.237531570228764,
      0.255143317916008,
      0.278120140822201,
      0.307985379142242,
      0.329578753892433,
      0.328543825128714,
      0.303531506806952,
      0.282920813106298,
      0.280340565935624,
      0.297920054146782,
      0.347771185884346,
      0.431421762712482,
      0.50811720130652,
      0.538000737862521,
      0.499027833575886,
      0.432281877720746,
      0.406588328328877,
      0.400122072092125,
      0.384855061362639,
      0.382463717595583,
      0.419276776678787,
      0.482331629294627,
      0.52654881618221,
      0.546520699563131,
      0.536034833016229,
      0.47696899418688,
      0.419817542401389,
      0.400579248882913,
      0.399125466201793,
      0.39700454662596,
      0.415150921592933,
      0.465003486894686,
      0.505325187128638,
      0.487524093752628,
      0.423785729259389,
      0.35288127151065,
      0.310190260021349,
      0.296186006870042,
      0.289119531331354,
      0.276119717244293,
      0.26836069264217,
      0.270963631239529,
      0.281738054522281,
      0.304206095970841,
      0.32807876811396,
      0.335646553335978,
      0.339840883947913,
      0.362616915549092,
      0.381685954253728,
      0.373719962763016,
      0.355652772590526,
      0.349686657114907,
      0.372143199713028,
      0.410042899997447,
      0.447208980458935,
      0.482172219906523,
      0.490359209429575,
      0.460886150528715,
      0.436615868692887,
      0.440256889054829,
      0.444309721034281,
      0.443948477276184,
      0.449216307796033,
      0.448237396550076,
      0.439341415711433,
      0.440880752811619,
      0.442763844589703,
      0.430566823939,
      0.411498806825218,
      0.400506692770734,
      0.385474351928893,
      0.371283727433109,
      0.377334675002527,
      0.422466692664385,
      0.476363609104067,
      0.474955379230497,
      0.467711897724143,
      0.48987088373162,
      0.537984906365071,
      0.560829115660819,
      0.545438702119573,
      0.537876050288798,
      0.546489985814782,
      0.550595733204625,
      0.539223508422655,
      0.510439122376907,
      0.476395794213286,
      0.463272733552933,
      0.492962784894764,
      0.542829145247279,
      0.560597292252718,
      0.533134031222087,
      0.477799491822519,
      0.428858949306457,
      0.415617343380293,
      0.442620006446785,
      0.478075959093713,
      0.482455692727515,
      0.456493139589267,
      0.424356400230939,
      0.412486157075168,
      0.419250214058899,
      0.42627717965891,
      0.442884068442614,
      0.490074606284188,
      0.553612315996206,
      0.590517556656325,
      0.598082626655994,
      0.593272562887021,
      0.57822963889989,
      0.555110296722409,
      0.520976707918862,
      0.4669478254761,
      0.414269346767152,
      0.39727108531021,
      0.420789131173576,
      0.43934085582137,
      0.423190654776677,
      0.414784585989461,
      0.430138428912442,
      0.454061685713786,
      0.467915635090741,
      0.458216389788615,
      0.439128094811207,
      0.432424268677994,
      0.450343008937718,
      0.503550200737503,
      0.571062324510115,
      0.605547978423134,
      0.610608381245229,
      0.590997185099494,
      0.571037586400963,
      0.554712025539769,
      0.527339907613647,
      0.504652931087034,
      0.509300996459183,
      0.539520426081241,
      0.557079616486063,
      0.552704361756011,
      0.550622036704682,
      0.546863644714647,
      0.543781707913758,
      0.532331821120516,
      0.491048446096094,
      0.456934622331732,
      0.466582020321914,
      0.522513058923393,
      0.586136755059384,
      0.613150782776041,
      0.610207761960046,
      0.572998964026028,
      0.514022135171172,
      0.482955678276746,
      0.465172268948672,
      0.427996568111928,
      0.399051387139228,
      0.413985392336618,
      0.488462070541445,
      0.571175100966837,
      0.59613112610246,
      0.573374336657442,
      0.528215825281957,
      0.504553766347503,
      0.500999882712596,
      0.482942092964291,
      0.456626687740689,
      0.440267508235898,
      0.430975341257203,
      0.169316988876479,
      0.237275296808141,
      0.275593741095415,
      0.272638865124281,
      0.239197889612636,
      0.220396329301987,
      0.235938544612728,
      0.283070218813437,
      0.329303981506897,
      0.345362620097811,
      0.349702658831827,
      0.344280422012783,
      0.329295264470112,
      0.309934405211538,
      0.283999753780281,
      0.272915800278541,
      0.301108421608096,
      0.367731958110406,
      0.437412467785089,
      0.455531003618444,
      0.406843787351345,
      0.339696391309151,
      0.290628697544941,
      0.27309919066342,
      0.30041485847932,
      0.374047721760475,
      0.416503993003778,
      0.358724813099425,
      0.260898944796507,
      0.200912528441052,
      0.191767377047384,
      0.212366836179591,
      0.238771212703594,
      0.263877832454317,
      0.303554062559566,
      0.355065971234819,
      0.372124655337737,
      0.338837669077501,
      0.282327815880842,
      0.254992083510013,
      0.26872390480645,
      0.313571572100081,
      0.3789810126516,
      0.441944619279642,
      0.490361549555301,
      0.524695888934781,
      0.512017848473428,
      0.460877595770473,
      0.43106251952967,
      0.416499028129991,
      0.399686409339759,
      0.397044114094576,
      0.425461972795853,
      0.473438262132608,
      0.507090613231023,
      0.530359137451549,
      0.538363426722876,
      0.500228480760959,
      0.453811190875601,
      0.436180952690623,
      0.435196508009187,
      0.436234946587415,
      0.454636393041662,
      0.500794059614919,
      0.537911252132328,
      0.519700884179971,
      0.463089538357505,
      0.398864075759989,
      0.344440495933878,
      0.302463225821272,
      0.27460223099235,
      0.25785335598426,
      0.255908714853582,
      0.259526298106365,
      0.26587028291684,
      0.285381576008969,
      0.326178975268493,
      0.381373283853419,
      0.412287827703726,
      0.404371906461303,
      0.365224988028355,
      0.323964530974738,
      0.307169581622625,
      0.321307450033615,
      0.376178413908552,
      0.442269416612659,
      0.474122094395394,
      0.48723395210493,
      0.486472935151596,
      0.46434852337947,
      0.425671066306862,
      0.393101686398026,
      0.380890760925345,
      0.391161524626906,
      0.412806496855229,
      0.426878651631371,
      0.438781192796686,
      0.46480162771292,
      0.485984738040388,
      0.483187394547043,
      0.464502708861718,
      0.429247117545092,
      0.379182838791204,
      0.349214660025681,
      0.357160535957102,
      0.396757681901953,
      0.423422486038378,
      0.423619583420551,
      0.44232973689065,
      0.48870671034141,
      0.550822460969249,
      0.584726699339511,
      0.578207079529332,
      0.567538628168543,
      0.57633544780863,
      0.587803315506317,
      0.573881139320144,
      0.534059297361987,
      0.49675456650979,
      0.487321178103385,
      0.512230952647133,
      0.557138691277058,
      0.577630519861671,
      0.548914379630419,
      0.497453330337495,
      0.45942910269463,
      0.449302831435861,
      0.458725677816275,
      0.470176493923882,
      0.475348790228618,
      0.474341618734804,
      0.472365089604707,
      0.478269448085191,
      0.481952139611037,
      0.478713073617936,
      0.485482273263457,
      0.517165537020675,
      0.559390336819853,
      0.581825915344178,
      0.585737886111306,
      0.592483001971507,
      0.607984688329696,
      0.599914268832442,
      0.540306867931617,
      0.456160667403126,
      0.398047775219496,
      0.382615526906481,
      0.400148892605958,
      0.420811392437787,
      0.421171998194844,
      0.422378978053067,
      0.43642081610792,
      0.461944440046681,
      0.494585443563184,
      0.500943862071536,
      0.463731698422121,
      0.424294787170542,
      0.4188217598059,
      0.46836336793333,
      0.550181710278727,
      0.59754485909531,
      0.610883046887582,
      0.606144857465088,
      0.597248294629374,
      0.573756673266516,
      0.537972305090003,
      0.517866486130455,
      0.532423512258091,
      0.571910078479104,
      0.585801547414845,
      0.567664369049389,
      0.562639120253307,
      0.570947262853171,
      0.579869531072901,
      0.577364629626874,
      0.553382076219415,
      0.540705683440636,
      0.557028935982734,
      0.590096437645936,
      0.608886670566383,
      0.6070652969097,
      0.612152847671873,
      0.601716246798699,
      0.565570881682413,
      0.541719537647014,
      0.509241721817794,
      0.454077107492257,
      0.418758589322992,
      0.441224484397702,
      0.530377092469619,
      0.611746173509077,
      0.605987240468885,
      0.561071263994352,
      0.533671769226106,
      0.528580142105282,
      0.500565054653132,
      0.453254876364581,
      0.438676604305422,
      0.466436955591301,
      0.4990686117375,
      0.153693034187884,
      0.22316852451951,
      0.27193409804988,
      0.285826846573095,
      0.262646567177106,
      0.243388678991012,
      0.254419352170554,
      0.29554508245895,
      0.324227632887871,
      0.315563617536151,
      0.312245074593053,
      0.323358997311313,
      0.326856732795921,
      0.306924420748297,
      0.266519933346179,
      0.236945496527618,
      0.24321259348739,
      0.29725719788968,
      0.378303062112285,
      0.408718244688219,
      0.331411079390262,
      0.215899869325394,
      0.147466644921312,
      0.146540451824244,
      0.216960789768815,
      0.332421328391445,
      0.380208920530666,
      0.317504725717335,
      0.227647742511272,
      0.174592623210161,
      0.160786183114914,
      0.169168950098869,
      0.186498025354698,
      0.211810121377467,
      0.256113788527738,
      0.304826256939043,
      0.308821687120067,
      0.260334909513528,
      0.19534376480575,
      0.165940363752098,
      0.185185969141271,
      0.244725526617849,
      0.328036313122648,
      0.395325269455761,
      0.435781597308176,
      0.482054082499788,
      0.501493030413463,
      0.47170831286543,
      0.431300056406439,
      0.395886313157513,
      0.376594818961377,
      0.384657315416376,
      0.417010436408186,
      0.456374679341706,
      0.479153498199024,
      0.494557277318858,
      0.502898271238438,
      0.481839170350575,
      0.457036118827801,
      0.447025027136879,
      0.442980396318858,
      0.447398789360952,
      0.46982456155962,
      0.506588576346556,
      0.513005183702871,
      0.458942473005909,
      0.406541487389378,
      0.382840109921587,
      0.35581253552565,
      0.299538800024054,
      0.249038847618196,
      0.228876114231424,
      0.232183162657714,
      0.235489733111856,
      0.235314662984917,
      0.244854568773127,
      0.283206069364916,
      0.35683870429359,
      0.408925829953241,
      0.398969463144156,
      0.340033963378035,
      0.28533751465876,
      0.271764983629542,
      0.298444048405346,
      0.354177190246772,
      0.384782795342316,
      0.369256102905152,
      0.36439216936899,
      0.384827077570673,
      0.401862214119571,
      0.377507182499073,
      0.33507537321849,
      0.319936934379769,
      0.338822617895513,
      0.371543674298924,
      0.391836173481618,
      0.391029973029336,
      0.385574831707924,
      0.380667022823991,
      0.379932435010322,
      0.392167528769974,
      0.391144639187459,
      0.348674032930506,
      0.308258145126103,
      0.306827154956888,
      0.342108334350537,
      0.360868803728283,
      0.351341747064081,
      0.376910545289747,
      0.450360959568471,
      0.541692297169302,
      0.580124667015087,
      0.564581599667371,
      0.547227510275491,
      0.553028716426391,
      0.565844758114197,
      0.552976620301334,
      0.516974037230943,
      0.495143678167973,
      0.505696871223369,
      0.535052368620604,
      0.560876758340279,
      0.550469911441499,
      0.488462598682521,
      0.421988448992771,
      0.397470381185924,
      0.417422249160384,
      0.449418780260103,
      0.459826068084489,
      0.463220504892541,
      0.470413243690858,
      0.477654964470255,
      0.484241438520081,
      0.478875728025946,
      0.467744141577988,
      0.470545384993551,
      0.496694008207844,
      0.522241698730915,
      0.520884382499202,
      0.506652235414831,
      0.502068967354209,
      0.518382884095038,
      0.524174109991824,
      0.480606051797848,
      0.417463068529033,
      0.38775500553029,
      0.398435929587679,
      0.424795081815589,
      0.42583218257755,
      0.408612446408512,
      0.403485852195396,
      0.415222205337035,
      0.444456816885388,
      0.494826458866566,
      0.519819087939428,
      0.475207707068416,
      0.420944793005976,
      0.406837508664103,
      0.443754092373059,
      0.502838067334087,
      0.546666579241645,
      0.583791578391608,
      0.597214657423198,
      0.57841002803698,
      0.534334677437835,
      0.495837038932806,
      0.489686284988968,
      0.518018244567856,
      0.557855227361198,
      0.55742213449813,
      0.528370665260382,
      0.526487772161609,
      0.538221103864571,
      0.526468299138646,
      0.490802740217928,
      0.461850741822288,
      0.470354458652965,
      0.503271020556942,
      0.532053111254914,
      0.533098933885802,
      0.525757749196089,
      0.549808798141592,
      0.575085386958003,
      0.569091401511933,
      0.548999543589891,
      0.501587200656557,
      0.439118627753654,
      0.40496742924248,
      0.416937982014809,
      0.462627255013844,
      0.48966442754472,
      0.475614833727852,
      0.463791390042549,
      0.469098458591946,
      0.460479021111495,
      0.404849783871848,
      0.347801311365451,
      0.35108481553032,
      0.398426625180901,
      0.427461400404907,
      0.12558713247266,
      0.198214910061881,
      0.259152189028478,
      0.283176291791047,
      0.267900379963362,
      0.252659580842127,
      0.255096339144039,
      0.269677101517919,
      0.273562930970176,
      0.266982599885881,
      0.272261780813756,
      0.288516275920086,
      0.300956068512101,
      0.291689440311961,
      0.25220877476497,
      0.208887800090986,
      0.194418035602913,
      0.219045722086451,
      0.266340746128908,
      0.284505361080221,
      0.231517875559777,
      0.152366830000307,
      0.108787592027627,
      0.119726176516389,
      0.192167777979427,
      0.298793557654035,
      0.342341024158294,
      0.291725078243268,
      0.213052602134499,
      0.155667665036536,
      0.124976531669778,
      0.116176412413697,
      0.129199092491443,
      0.166924198098531,
      0.226284727684393,
      0.273960977876091,
      0.262845845600001,
      0.202548036701113,
      0.137828898990495,
      0.111834490638457,
      0.128797430775876,
      0.181921420851155,
      0.265393399449238,
      0.349028787941304,
      0.406017789100175,
      0.452128797737224,
      0.466309360747387,
      0.427880562894978,
      0.367367310929747,
      0.310510641563735,
      0.285399960105522,
      0.305582851992658,
      0.356267789077603,
      0.408696968082016,
      0.435594710967182,
      0.448316060353923,
      0.448794140734828,
      0.418906030496141,
      0.389090609916394,
      0.381001720279862,
      0.387502650350594,
      0.407261425666544,
      0.439390492606635,
      0.479271813413442,
      0.480402976172791,
      0.408378058394372,
      0.340923256252584,
      0.323052646830292,
      0.319389015998475,
      0.284216694228336,
      0.24115792437674,
      0.213356527051318,
      0.197492350188574,
      0.187662221425154,
      0.188669427620196,
      0.204754303693519,
      0.231443210978208,
      0.259187903455298,
      0.271436987124658,
      0.258556627472852,
      0.223152896394031,
      0.197249097405023,
      0.207004462968355,
      0.247632915602117,
      0.302654691196377,
      0.33242716150713,
      0.328626620259505,
      0.327656452374746,
      0.338606490115631,
      0.347210203782951,
      0.333626487450811,
      0.313348149781494,
      0.312004960198308,
      0.331795841205285,
      0.364506422763542,
      0.391160531277911,
      0.383409549993364,
      0.344455162158643,
      0.301611808295187,
      0.284828964645758,
      0.302660850092106,
      0.317393764533576,
      0.297224689545051,
      0.280157386173186,
      0.297249269044557,
      0.342374376798803,
      0.355812262350986,
      0.331885180842508,
      0.351284742131487,
      0.426591825669669,
      0.511047685063502,
      0.531522309420696,
      0.519252279738177,
      0.520262798921294,
      0.525927875471074,
      0.518864272898705,
      0.49541854662539,
      0.4656963329432,
      0.45868905513517,
      0.492677105851196,
      0.542843093252092,
      0.558329990215497,
      0.517263569621351,
      0.441390597837061,
      0.37491394474721,
      0.351823350110963,
      0.373202931668207,
      0.408959381460215,
      0.424757657762373,
      0.433960429019093,
      0.446992908784231,
      0.45024440370542,
      0.440290054782803,
      0.417222899327017,
      0.395859936356602,
      0.393164768092343,
      0.41427006393128,
      0.445919517916465,
      0.460614540120716,
      0.447182867848275,
      0.417432782806286,
      0.401791581611782,
      0.399528987184314,
      0.383156578793905,
      0.364919687252191,
      0.37571610050773,
      0.414814010133915,
      0.445830032100877,
      0.42118747958106,
      0.38232810292684,
      0.374111665819401,
      0.391046431379039,
      0.417863900473127,
      0.449937590897816,
      0.461162644893254,
      0.431378805081573,
      0.402971958197006,
      0.402118860332435,
      0.427406001159126,
      0.455903919769653,
      0.488673811904884,
      0.533658137928875,
      0.550176709643861,
      0.525395297067187,
      0.482174166006359,
      0.448822748323836,
      0.440233885638414,
      0.460847682808621,
      0.497009467963513,
      0.498432182955651,
      0.468780585540052,
      0.458218158018255,
      0.458599780231822,
      0.44346067716244,
      0.412241143100672,
      0.385470516079329,
      0.39443964602572,
      0.431424417919872,
      0.467293359377316,
      0.475624762174488,
      0.474877269345899,
      0.500582949139695,
      0.517972441065785,
      0.500400624223091,
      0.469802604389655,
      0.422458746708744,
      0.376868256173998,
      0.365212198896366,
      0.388375263848174,
      0.418017259025326,
      0.412860014078978,
      0.388017476997522,
      0.376241732543707,
      0.369483919404646,
      0.347497876755265,
      0.29890970175365,
      0.258306745414817,
      0.264254745114638,
      0.29755167761009,
      0.308978136233951,
      0.126917128110833,
      0.19839022263482,
      0.254571729492657,
      0.261208130706068,
      0.225156073224853,
      0.202691002226885,
      0.209053472581945,
      0.228512792663093,
      0.24014518469679,
      0.25705284995693,
      0.286371454554155,
      0.301645448519157,
      0.292050201396646,
      0.268254981233495,
      0.23545384786278,
      0.205731294119366,
      0.194780440028789,
      0.200579893731092,
      0.207674300915489,
      0.195169476718205,
      0.155192122217577,
      0.116261190450077,
      0.110349211203874,
      0.148623308384024,
      0.229859812127428,
      0.316964670605608,
      0.336216965657302,
      0.280720466010423,
      0.20085981771816,
      0.142733506882821,
      0.112134963989085,
      0.103303007614051,
      0.116280858349717,
      0.156107527857087,
      0.214385837670383,
      0.250465936659198,
      0.230930483455492,
      0.180123286958196,
      0.129395100395145,
      0.105624198687869,
      0.113450481723505,
      0.150315192764685,
      0.219156326593661,
      0.303061849770981,
      0.369719575639899,
      0.411066573927783,
      0.410981161112762,
      0.364515705131766,
      0.307217059908447,
      0.256510583742588,
      0.226265227920177,
      0.23261595816731,
      0.275000859051509,
      0.33639017254945,
      0.38379978107125,
      0.412221355037884,
      0.421051990381693,
      0.393161792374253,
      0.360142684234711,
      0.349367666808709,
      0.352725292325024,
      0.362503924957213,
      0.386563516746911,
      0.434208257603531,
      0.459651373664744,
      0.399702512358925,
      0.3136513258042,
      0.26727583344158,
      0.252239141195343,
      0.241079948413767,
      0.241951626366284,
      0.247096463578094,
      0.225606392491366,
      0.185130029475964,
      0.162399537313669,
      0.166232968177016,
      0.175918864606899,
      0.167619320089503,
      0.151813130662568,
      0.144342295755118,
      0.140162017179586,
      0.143175101532607,
      0.165271892288879,
      0.210565134032907,
      0.277671835634076,
      0.332089679862101,
      0.344301500259045,
      0.337734277049135,
      0.327088784404847,
      0.318145962221958,
      0.317393626788129,
      0.327800760318295,
      0.341065795377627,
      0.357899788520369,
      0.385188955242554,
      0.406720248639514,
      0.385548068635905,
      0.331123576099449,
      0.28631158828982,
      0.273929776696029,
      0.284358338746429,
      0.278948895766009,
      0.255593786182754,
      0.258667549659018,
      0.300568934719462,
      0.368159480184083,
      0.389247813367363,
      0.354776591944595,
      0.358947873382017,
      0.416556567515587,
      0.481533462549446,
      0.490398762506741,
      0.48428593588596,
      0.500247647846216,
      0.514495154256816,
      0.501657706016775,
      0.465019156898441,
      0.425001549468569,
      0.411043703951398,
      0.443933340364116,
      0.503043376093702,
      0.530015002069786,
      0.492472995678817,
      0.418111559496391,
      0.353470056156653,
      0.326716479127217,
      0.339991870200002,
      0.369395007666712,
      0.385048470886896,
      0.391446321836671,
      0.398926694956609,
      0.397225463215421,
      0.379834908467561,
      0.350731840291521,
      0.329431135114945,
      0.331567398058299,
      0.354307807457754,
      0.385490657939061,
      0.405851593359499,
      0.403022349036681,
      0.378440013806708,
      0.354167448914049,
      0.34043875487845,
      0.330766150426693,
      0.329684535815205,
      0.34649387987983,
      0.381769952509105,
      0.413641977994831,
      0.398846162780944,
      0.36360438471047,
      0.359420003568416,
      0.387228161465325,
      0.417865484333736,
      0.424412343142816,
      0.401651541002574,
      0.371101650209024,
      0.358681349942282,
      0.369919138513951,
      0.399330516536293,
      0.424625854765932,
      0.445517178653481,
      0.482075456678512,
      0.503684831379915,
      0.48824888132806,
      0.452170918857299,
      0.42092028376074,
      0.410368701680168,
      0.426792007959429,
      0.457535647728053,
      0.457612990243944,
      0.429800182187285,
      0.416907501536103,
      0.414131852140883,
      0.409046453331223,
      0.396412327815303,
      0.370711494644527,
      0.361351660753229,
      0.382164172103283,
      0.419543117327222,
      0.444190953482103,
      0.452057462667233,
      0.472009752182296,
      0.481897596196175,
      0.456981312269832,
      0.415494409033491,
      0.361250924945342,
      0.317359962147829,
      0.313789027322874,
      0.348702702108207,
      0.390670793887162,
      0.389770828458294,
      0.362292991794878,
      0.350241292571092,
      0.34150238195004,
      0.315696733233172,
      0.267450988389357,
      0.22820838247832,
      0.22783299198158,
      0.249084654501355,
      0.252291923271435,
      0.160258639968232,
      0.2221017301548,
      0.257489278392228,
      0.244717306090209,
      0.196604900036414,
      0.16757671072888,
      0.179283453112907,
      0.219806136069834,
      0.249903505100794,
      0.267032907532475,
      0.290892377691469,
      0.29996553565631,
      0.279269926456382,
      0.25429624483572,
      0.231665864181985,
      0.208912918967048,
      0.20092285487995,
      0.208094973324954,
      0.215515968721062,
      0.206219911809905,
      0.183389198555329,
      0.175092256624316,
      0.211197362986199,
      0.29689785194896,
      0.394503935993735,
      0.4242513936975,
      0.367438300446201,
      0.30445504557108,
      0.241162922219859,
      0.185287218204676,
      0.146931295274187,
      0.129690937411787,
      0.138036695138118,
      0.174194651653544,
      0.224400340266143,
      0.249615925607069,
      0.225547328395394,
      0.181603864529056,
      0.13669227885379,
      0.105983363876545,
      0.100720145012524,
      0.125509174786728,
      0.188639985849166,
      0.276706149211001,
      0.34980500994893,
      0.392903538688389,
      0.387321919645444,
      0.342759025491079,
      0.303230433033526,
      0.269957555148756,
      0.238046874025178,
      0.223870106223302,
      0.242138676908281,
      0.29030031906147,
      0.339701839099366,
      0.378407000170893,
      0.398089392477279,
      0.379151108579454,
      0.353176655482092,
      0.349446325919963,
      0.351873421284796,
      0.343267927580051,
      0.348431546651433,
      0.393229648392246,
      0.436750002956884,
      0.398513920605527,
      0.312022128180514,
      0.245324747115639,
      0.210633240051182,
      0.200183849749854,
      0.221187522335468,
      0.252033483261126,
      0.245351552599093,
      0.202447414589964,
      0.169164659687416,
      0.162531821284337,
      0.164686331182422,
      0.150613279577517,
      0.128178360374607,
      0.117228823210616,
      0.119627813447962,
      0.130201063367419,
      0.150033297474333,
      0.187144058542405,
      0.251090934704288,
      0.309068582972363,
      0.319609702098835,
      0.315875224794987,
      0.322019516653483,
      0.33029085042537,
      0.338983268957302,
      0.35490819298219,
      0.367424262020956,
      0.373609168998987,
      0.38369124790864,
      0.392339605591854,
      0.369990977514497,
      0.327075461857836,
      0.302848066039295,
      0.30368711326424,
      0.304194721867177,
      0.27102679989364,
      0.229687575393181,
      0.232265070619993,
      0.278395598556065,
      0.351359095736478,
      0.380028702964458,
      0.348059110180192,
      0.344715749932224,
      0.390633382698616,
      0.461476790656034,
      0.499447006230754,
      0.505364634221584,
      0.51475251020715,
      0.524751946157451,
      0.512105740482278,
      0.470760786923008,
      0.422038719155386,
      0.399107558153379,
      0.417765776987654,
      0.464967732197353,
      0.500627153091935,
      0.485194188907165,
      0.427611677162566,
      0.368763354282098,
      0.338343221439969,
      0.342489328443778,
      0.365003011071526,
      0.38073643556244,
      0.382531057033734,
      0.373915575421529,
      0.351741373987323,
      0.32097634916592,
      0.29448339366837,
      0.286518215095108,
      0.301866572802065,
      0.333738257944528,
      0.366747182561059,
      0.384195379000518,
      0.389077403272068,
      0.379842509004993,
      0.360353888792699,
      0.342560295357593,
      0.332873398658262,
      0.325519003587662,
      0.321839030038599,
      0.338644053774324,
      0.375642391407298,
      0.379771414255696,
      0.346009421009402,
      0.336765852878337,
      0.365844764774289,
      0.403282719281011,
      0.410834987339939,
      0.384049500069126,
      0.350821630658489,
      0.337372320159908,
      0.352384112119936,
      0.397250126500128,
      0.446163146095807,
      0.467368123526352,
      0.485045425493699,
      0.495217353644175,
      0.482269437849816,
      0.452735327611841,
      0.426630629990323,
      0.420762367160872,
      0.437038340420835,
      0.458522228964145,
      0.451968330847961,
      0.427518379713801,
      0.416903375300673,
      0.412644068682429,
      0.414034157987264,
      0.411848915728334,
      0.38007462377989,
      0.348269868718162,
      0.352863068497796,
      0.398018406518513,
      0.445004111032508,
      0.457129595448612,
      0.460411736297253,
      0.46588903613882,
      0.458059959188394,
      0.428310841790177,
      0.367556830986215,
      0.313289410485178,
      0.305450913696106,
      0.340695416196438,
      0.388899315069137,
      0.399333117611643,
      0.377946807595024,
      0.363153013180592,
      0.346180031723419,
      0.317589334456857,
      0.278189177436862,
      0.246241975672666,
      0.239405146033075,
      0.246429639276899,
      0.241316644173963,
      0.209863596619623,
      0.262318502834243,
      0.274331613004111,
      0.254536797654147,
      0.224653991428348,
      0.209068377059244,
      0.21895672267839,
      0.25574715626532,
      0.284726377805996,
      0.283822070879253,
      0.273475754857763,
      0.262809636164281,
      0.251621749175738,
      0.255041301059043,
      0.270954952904821,
      0.271911678143789,
      0.258624446405934,
      0.245770905186766,
      0.250163030971434,
      0.280478972447085,
      0.325250199080907,
      0.384977762607662,
      0.46211920623522,
      0.542562796283397,
      0.579755677836436,
      0.520312536625368,
      0.412499540679405,
      0.377459931108307,
      0.374092261569323,
      0.353476070303829,
      0.320305877569452,
      0.288123733711496,
      0.266800105297513,
      0.258073581195345,
      0.257990926101129,
      0.254834204465508,
      0.242311996926372,
      0.23269790439923,
      0.210819062093043,
      0.17605304767831,
      0.152366400219743,
      0.156797728707757,
      0.209052137754271,
      0.303871464601924,
      0.388258063988744,
      0.433278156951156,
      0.416818812090788,
      0.363394148566818,
      0.333287009704586,
      0.316347951375498,
      0.289058628087056,
      0.266564677921552,
      0.275225506992322,
      0.321866326925269,
      0.376656606282713,
      0.421114973578233,
      0.438487271513068,
      0.40629694094383,
      0.368622518947309,
      0.363436832416863,
      0.370028364288569,
      0.359653581403974,
      0.357934232106047,
      0.39399761146881,
      0.429871109125104,
      0.396111120175977,
      0.319885478846057,
      0.256469265381429,
      0.22288442814158,
      0.213264832422657,
      0.231493797601244,
      0.261214362239671,
      0.267258775747463,
      0.249399145594783,
      0.234952444588651,
      0.231096874775434,
      0.221002261494809,
      0.197508148582631,
      0.175217178472276,
      0.16424880848854,
      0.168747119105584,
      0.178362300511239,
      0.188000891835437,
      0.206694470056251,
      0.24665150619292,
      0.281201319317595,
      0.283253183008581,
      0.293527081751461,
      0.33335990217629,
      0.37896164462621,
      0.417460684982285,
      0.448207210031749,
      0.456785221598226,
      0.442429758636117,
      0.422875347461071,
      0.413286198058944,
      0.400202536316833,
      0.3763560327774,
      0.35282457696767,
      0.335530882489407,
      0.317394512202674,
      0.276182343944502,
      0.226391116482196,
      0.216256944883353,
      0.255231909063093,
      0.338096058205237,
      0.401353660784221,
      0.389269058919806,
      0.377660202305567,
      0.40526583634006,
      0.468921582174058,
      0.514933807510868,
      0.517948009686719,
      0.514671902989298,
      0.514253301595495,
      0.500399434585189,
      0.467345229287482,
      0.428939884106788,
      0.408012200870644,
      0.415980291111483,
      0.450338547747053,
      0.487183509380321,
      0.492291792955762,
      0.460265389243573,
      0.413125830848165,
      0.375560706544511,
      0.365960558043853,
      0.389240823772238,
      0.416813711419134,
      0.414692906798269,
      0.386556389258628,
      0.350156825209592,
      0.320890977965884,
      0.306680270252126,
      0.309158584509006,
      0.327991547235557,
      0.367203614721183,
      0.412980242055457,
      0.433894232190138,
      0.437650828694231,
      0.428079481961197,
      0.400745657974771,
      0.373197874461303,
      0.368481329972795,
      0.367202622436667,
      0.35524294373932,
      0.359113544780642,
      0.390477899629472,
      0.388482674511106,
      0.341078016533815,
      0.324570579779509,
      0.356269340916817,
      0.403906935328919,
      0.422273675975646,
      0.397240290917358,
      0.364156979029885,
      0.357604416423677,
      0.382729590454539,
      0.440047292131207,
      0.503470646177469,
      0.527016180189725,
      0.528687912097257,
      0.523912716329553,
      0.509702211228157,
      0.477301678100581,
      0.440004527320029,
      0.423639215521946,
      0.431940297871743,
      0.450721415774179,
      0.457285100842278,
      0.452172848150969,
      0.448266615503369,
      0.437618423360651,
      0.440194985917228,
      0.446915709353859,
      0.410640742427376,
      0.36303317361371,
      0.358399425322213,
      0.41001388786399,
      0.468353365950585,
      0.482646072278789,
      0.479142229769789,
      0.477364064532165,
      0.469143827153705,
      0.448635277406983,
      0.397074863007059,
      0.338139149975438,
      0.315807100493213,
      0.338182623373828,
      0.390054451015491,
      0.426616014941912,
      0.428695304460076,
      0.414114043770365,
      0.384985025514511,
      0.368263712412494,
      0.371716803426579,
      0.361778772357308,
      0.330738573979491,
      0.29140652729188,
      0.254616105410321,
      0.260067112970121,
      0.316820416969988,
      0.314071242000759,
      0.292043753295893,
      0.283621320066547,
      0.294415773675218,
      0.310489110752826,
      0.328073468657764,
      0.331757393977872,
      0.317329009102716,
      0.306829427429715,
      0.299262560294869,
      0.29888613097038,
      0.315376762574561,
      0.34172667726695,
      0.352223796855931,
      0.346251609071325,
      0.341359595449771,
      0.361463987192875,
      0.422049998751719,
      0.50119732810152,
      0.569794204872154,
      0.597671987091804,
      0.579567357124629,
      0.532368102615768,
      0.486995294750816,
      0.449578358387836,
      0.421593289615556,
      0.41178581148529,
      0.439408041333271,
      0.490314346208533,
      0.518799894668684,
      0.48391420930904,
      0.399220776706536,
      0.33236854577553,
      0.324130692740468,
      0.368590897532949,
      0.447358494687564,
      0.480408046590189,
      0.440871902080882,
      0.380850597969432,
      0.337270644505831,
      0.344860676930742,
      0.412650931542041,
      0.488211098450152,
      0.518147582140284,
      0.47324213170389,
      0.406413466506778,
      0.395141372881457,
      0.406522720706289,
      0.39374440725363,
      0.377275825251472,
      0.397679473720668,
      0.453698766346343,
      0.500904138561111,
      0.52960031690934,
      0.526797283954842,
      0.466579450399925,
      0.404559404459098,
      0.389957899505792,
      0.401230671879842,
      0.401624195204981,
      0.410282503152854,
      0.44994333613037,
      0.486531331654692,
      0.468589170089976,
      0.411599732633313,
      0.349563241989907,
      0.304014430083527,
      0.296794825715234,
      0.344563081028891,
      0.418118951946982,
      0.460307223971804,
      0.448492786717307,
      0.415086121969885,
      0.378644464996266,
      0.336900177690706,
      0.309587273185966,
      0.317498093684428,
      0.351665384923179,
      0.374165763532677,
      0.360666810738358,
      0.336370143026985,
      0.331704848989597,
      0.354113609558505,
      0.36559162230032,
      0.361461618110372,
      0.375058282483596,
      0.407017413228625,
      0.453021967472873,
      0.516025044555779,
      0.563989287669226,
      0.562475346809509,
      0.532561255577509,
      0.507711312672174,
      0.494172982374639,
      0.491930339051477,
      0.488397095451066,
      0.465601063754005,
      0.432997447480781,
      0.41359304839395,
      0.39653223633979,
      0.354085471448316,
      0.325377339523704,
      0.346933118725708,
      0.441947803253245,
      0.545552751490474,
      0.528836369197885,
      0.474613537259974,
      0.458076562529811,
      0.495309387088838,
      0.531262965556326,
      0.523540793473778,
      0.511352453168977,
      0.513658551836195,
      0.517658431856723,
      0.507860826308741,
      0.481335332708871,
      0.453029310889385,
      0.44332279505043,
      0.469003233665999,
      0.509857525272269,
      0.52089093558709,
      0.50028167085949,
      0.468655577020879,
      0.439523654635105,
      0.432672117471686,
      0.470594119253706,
      0.515955728905202,
      0.498423646242851,
      0.436884202157693,
      0.393765758481124,
      0.391726790007647,
      0.413100180278883,
      0.432495877742665,
      0.442187062370498,
      0.465579360528346,
      0.51592290048651,
      0.549183396672329,
      0.540695235415058,
      0.508773099268846,
      0.4714541897998,
      0.443549854343563,
      0.444857416388264,
      0.451400881733631,
      0.439397650082377,
      0.435722660449112,
      0.458281322897596,
      0.444844813219192,
      0.376488637825077,
      0.344968214739594,
      0.379327809771269,
      0.442300901722912,
      0.473838037623829,
      0.443893186802201,
      0.404985795741076,
      0.409903995213068,
      0.456701286348648,
      0.530743126405557,
      0.588416756291182,
      0.59647459485446,
      0.588918114555528,
      0.577306561364529,
      0.565177964515781,
      0.533156799505154,
      0.482260014607536,
      0.448897871799628,
      0.452767420521645,
      0.491595622640857,
      0.531443465180147,
      0.54516199859824,
      0.536940729256576,
      0.509319148468629,
      0.502918500213753,
      0.508085189930622,
      0.4606484006331,
      0.397948220319673,
      0.389703235333617,
      0.450963427876292,
      0.526663512781436,
      0.562276537421499,
      0.571202644238895,
      0.547052085850513,
      0.498256920470569,
      0.476683405839597,
      0.455417345972732,
      0.40088372443783,
      0.356687876907767,
      0.360855437458822,
      0.424239317958986,
      0.507849556802852,
      0.557019544195739,
      0.550438459846665,
      0.496817431149011,
      0.471707889643231,
      0.502638820100683,
      0.517275438619933,
      0.484350391096887,
      0.424871894185806,
      0.360620255041876,
      0.249450016750691,
      0.330124299251016,
      0.35260473177594,
      0.353822114339515,
      0.348169509509622,
      0.354109297088217,
      0.37019501652235,
      0.395743193801398,
      0.416172247478236,
      0.418608123128806,
      0.431246008984137,
      0.431408226987333,
      0.424141110654482,
      0.428636016038683,
      0.429950391543644,
      0.423850065854667,
      0.430486347934884,
      0.463082397453624,
      0.509553153390247,
      0.539170806162464,
      0.515583226871497,
      0.45331045207424,
      0.384781825291071,
      0.34033001874697,
      0.349878384087426,
      0.426313353638309,
      0.485269039882314,
      0.433782014525831,
      0.341724935864346,
      0.313898085204971,
      0.354081786639863,
      0.41290906419832,
      0.442985550089062,
      0.444076342283602,
      0.457628021415462,
      0.48962658850695,
      0.519996514612767,
      0.571461024596698,
      0.5952224663232,
      0.57047449127461,
      0.532237532739781,
      0.502497132379867,
      0.502581362511829,
      0.532840911366043,
      0.571650360952112,
      0.58617841804869,
      0.551541288735181,
      0.513410936068941,
      0.540855730749265,
      0.593964312879257,
      0.601952489917058,
      0.578290385269819,
      0.576567142166637,
      0.608348339890521,
      0.631801739792325,
      0.628187543849408,
      0.589803505379994,
      0.508490422448342,
      0.451461941734042,
      0.456919973109551,
      0.488329044400074,
      0.496899650663944,
      0.504057811162878,
      0.547208998304618,
      0.59099395455835,
      0.582394124495591,
      0.538682069337989,
      0.492685284901475,
      0.465865020920726,
      0.473019179169847,
      0.514078318353563,
      0.54692998652404,
      0.552967176739619,
      0.535546529614673,
      0.511698291443616,
      0.488318261317421,
      0.478094417586103,
      0.507409687641176,
      0.554967832916068,
      0.608411813606137,
      0.63646644104021,
      0.618957327915935,
      0.592283154231999,
      0.584809441366389,
      0.594921759043466,
      0.565106661622829,
      0.510728630071921,
      0.493455661132584,
      0.506370190388283,
      0.539877864414541,
      0.564496075081467,
      0.55723870356821,
      0.536286422063701,
      0.534834883074042,
      0.554560180149462,
      0.559569434788904,
      0.556772337218646,
      0.572522769732761,
      0.588532773493246,
      0.591976669795012,
      0.593165639375612,
      0.585721737076781,
      0.54318041521737,
      0.504364446942641,
      0.505818359952079,
      0.55814523460352,
      0.585171636228114,
      0.518870081229823,
      0.46377692665917,
      0.470353738153516,
      0.536795298298715,
      0.587364535545742,
      0.57962517269406,
      0.566897130641157,
      0.577785291385424,
      0.591558960336756,
      0.579214896070282,
      0.537757731945186,
      0.491488244113421,
      0.467162000901312,
      0.489415758465205,
      0.54412992430149,
      0.565746078189582,
      0.535449418412601,
      0.494543569109617,
      0.477785077412443,
      0.498757803773284,
      0.559222853658905,
      0.60595854387393,
      0.575015645040481,
      0.516280833884791,
      0.502776899901556,
      0.534382816212955,
      0.570707881718509,
      0.593409269782133,
      0.605252290684297,
      0.613936635593284,
      0.63283972527638,
      0.643931104258413,
      0.6274325847393,
      0.596798556649216,
      0.579245251816046,
      0.582956157224457,
      0.584226220825765,
      0.552943443918601,
      0.50473735130571,
      0.48726740085403,
      0.526133568003098,
      0.553867969268552,
      0.513798746149509,
      0.482230236789384,
      0.507943982425116,
      0.568930401342398,
      0.597386231063035,
      0.547943842765087,
      0.482273807624652,
      0.469729573661809,
      0.515495508967837,
      0.6047719160942,
      0.664192263426139,
      0.641494473522294,
      0.608802641980357,
      0.60183626545601,
      0.621171942809876,
      0.62025269830623,
      0.578550937573709,
      0.541059202724848,
      0.549408747697475,
      0.608192946813646,
      0.653966477712416,
      0.647323758548733,
      0.623423974871824,
      0.596185032769077,
      0.599569224796004,
      0.621722824479425,
      0.590064909655224,
      0.536765589847781,
      0.523887703678569,
      0.558400298504177,
      0.599337995586449,
      0.621032785385381,
      0.635814068376032,
      0.608360014126195,
      0.558069796976303,
      0.563634049369085,
      0.569124703691953,
      0.509064307448423,
      0.443307547033295,
      0.436395933235894,
      0.51289404626363,
      0.608090262638122,
      0.637075810576992,
      0.61417499046002,
      0.579719001103714,
      0.5721052894641,
      0.581549674360216,
      0.576247868408621,
      0.563523576572119,
      0.544409294804518,
      0.500388932734013,
      0.192081937017905,
      0.293764982409225,
      0.359627221987285,
      0.375134745333595,
      0.342729838652902,
      0.318103717093182,
      0.323810123881961,
      0.363075083679637,
      0.415135845352741,
      0.456231618901162,
      0.497769280687769,
      0.503482805737816,
      0.480038631796561,
      0.452568698133867,
      0.405061540863202,
      0.363068779263621,
      0.377430430450555,
      0.445099721653415,
      0.502629539368605,
      0.489647233409665,
      0.397866179507997,
      0.279284277530522,
      0.191889082270774,
      0.174251989917753,
      0.237694705810869,
      0.350968415342156,
      0.403712441716211,
      0.343185824874112,
      0.248107040353866,
      0.188352665969711,
      0.174747768065644,
      0.201037485319217,
      0.26110130368159,
      0.340180364074668,
      0.427424130023503,
      0.495762505549097,
      0.487471171749104,
      0.413459786041644,
      0.331851838904905,
      0.304651954651377,
      0.340249041690628,
      0.421702524725364,
      0.516264298843297,
      0.55190313502525,
      0.539291192483631,
      0.55668313496297,
      0.57293942605561,
      0.563710790328367,
      0.546968643384686,
      0.52108713088089,
      0.498052511202402,
      0.50375591830283,
      0.541316526726597,
      0.586476073108813,
      0.599207890153318,
      0.588379440848864,
      0.566736702970342,
      0.526841446914567,
      0.513062718297189,
      0.533685548173283,
      0.554149509967285,
      0.557575006142652,
      0.56761563220906,
      0.601334218216775,
      0.61213851045799,
      0.567674571594152,
      0.524524806486605,
      0.521110311389378,
      0.529925416000799,
      0.4863745811785,
      0.408035285774244,
      0.339000797980554,
      0.304577386197198,
      0.297985011603762,
      0.315363948784313,
      0.366295418938296,
      0.446261548514622,
      0.519352125876585,
      0.548475668759969,
      0.546885008605784,
      0.532518260359108,
      0.518988255245743,
      0.520202933034766,
      0.533012009555734,
      0.558300403137805,
      0.547634849680672,
      0.481204641506986,
      0.443386244988524,
      0.473498274227811,
      0.533848338638835,
      0.521588694491694,
      0.443865395134124,
      0.400225452041532,
      0.421945399767765,
      0.471980495094978,
      0.494604613993677,
      0.47385815124791,
      0.455596552390154,
      0.456193695543229,
      0.468356199875677,
      0.492065048234171,
      0.513943425938492,
      0.501581321226426,
      0.478375445292636,
      0.473929478964067,
      0.487713156035219,
      0.465974976125342,
      0.417413088634485,
      0.417486190729692,
      0.471465976077714,
      0.557435372047821,
      0.599700595546052,
      0.586178266929845,
      0.573890180060415,
      0.586930771561062,
      0.599802529778536,
      0.582616328302571,
      0.543320536659403,
      0.511292752551831,
      0.500121486345804,
      0.513436694624876,
      0.556254838481685,
      0.574304765971262,
      0.518249232362563,
      0.44575422833848,
      0.427959342998038,
      0.469351603453135,
      0.519546201926719,
      0.539252347069221,
      0.550289919161476,
      0.574889263500359,
      0.60108653310667,
      0.624478233087332,
      0.627246554519818,
      0.606910886361676,
      0.594693705785862,
      0.601640692133499,
      0.605041728718498,
      0.587310398068014,
      0.570463449909475,
      0.560223345854268,
      0.562859211816387,
      0.567523017363715,
      0.529072938860718,
      0.45798222968483,
      0.422319199905128,
      0.452064529489309,
      0.524717748687431,
      0.575358343184256,
      0.586879520027934,
      0.592851252877253,
      0.602295120540287,
      0.613733551910476,
      0.623497138275168,
      0.599718336283501,
      0.533665510654124,
      0.482288055110329,
      0.477173257877254,
      0.521711795840248,
      0.570989940597842,
      0.585455309992852,
      0.595243612230913,
      0.593443587272808,
      0.584386355588937,
      0.578362155931142,
      0.577845109307052,
      0.58933846754125,
      0.614244270704727,
      0.635214015251394,
      0.613215154589288,
      0.574876679001821,
      0.578988061884431,
      0.604211643650126,
      0.614164123565057,
      0.59409420184679,
      0.552897541622721,
      0.5380429451665,
      0.555151597322072,
      0.575994582632214,
      0.567589345707244,
      0.549411656707141,
      0.567487342266208,
      0.589454906863624,
      0.595182671823737,
      0.604745678861042,
      0.574278635521877,
      0.511949734933481,
      0.486643467749048,
      0.520494475355853,
      0.580567609970014,
      0.584164856113949,
      0.541187859510338,
      0.53410628864412,
      0.569275845988331,
      0.583635844974526,
      0.530071529155507,
      0.468101174680857,
      0.463189601123596,
      0.489211211721914,
      0.483157990649222,
      0.124925344143761,
      0.233010449222215,
      0.350784273682112,
      0.39661997743561,
      0.339592386012215,
      0.277197737277874,
      0.26422603902553,
      0.285080349305697,
      0.305011310715874,
      0.341648599508434,
      0.408924600341154,
      0.451765750770877,
      0.447963329512792,
      0.41050315745446,
      0.335791619918432,
      0.263625296608391,
      0.251835455547832,
      0.297152777794054,
      0.339204997990748,
      0.322957226520439,
      0.245745986504644,
      0.159936060355323,
      0.110478267015657,
      0.117022981177902,
      0.189546097694465,
      0.292475855334661,
      0.321871401911472,
      0.274475764152045,
      0.214887494194096,
      0.165732289265728,
      0.133880170249685,
      0.126057539224177,
      0.153201267575167,
      0.219939937699847,
      0.307221479069454,
      0.35451653481577,
      0.313017781563624,
      0.225078420143214,
      0.148766363739963,
      0.13037327295442,
      0.175181013997402,
      0.267259916715242,
      0.376081525955536,
      0.438190889530818,
      0.451322245655419,
      0.486238131787997,
      0.516814242642643,
      0.491157178725078,
      0.428595451411976,
      0.35812731508642,
      0.315907826656161,
      0.32193401432899,
      0.365511484509468,
      0.418905938497579,
      0.443808213617248,
      0.457061595458856,
      0.477315163524262,
      0.482043167073025,
      0.48125102198224,
      0.483006969752651,
      0.480131932598821,
      0.490780344698299,
      0.518037292305773,
      0.538899140217286,
      0.509099600364047,
      0.431570738558787,
      0.385128839299721,
      0.394455414505512,
      0.41742681583691,
      0.381976827976467,
      0.311759912880731,
      0.249959620861898,
      0.206053130698563,
      0.182241654594201,
      0.185336215700626,
      0.219039725160674,
      0.263985912014786,
      0.286761131221075,
      0.283483409017244,
      0.266495283399433,
      0.24263541622172,
      0.230020399114621,
      0.243288523311378,
      0.277921223736586,
      0.323450205869807,
      0.346336456765857,
      0.33652509549246,
      0.341354826095557,
      0.382357601772425,
      0.425371388150627,
      0.40299897769324,
      0.336086488252147,
      0.305402996833802,
      0.33604419937508,
      0.396031953465155,
      0.419382553185078,
      0.373377133280318,
      0.318296157977264,
      0.292979446611301,
      0.294400451077059,
      0.313994714617476,
      0.329421784755881,
      0.318924212231498,
      0.312568463545998,
      0.336873223435398,
      0.386326482570165,
      0.407855564301769,
      0.395903070925519,
      0.417178408054635,
      0.477495401852684,
      0.5505031854082,
      0.572566402057552,
      0.549507263235322,
      0.532573187953044,
      0.528130419325706,
      0.515570356358773,
      0.489414267284874,
      0.467980544143634,
      0.476347771358863,
      0.511244115202312,
      0.544259652881982,
      0.55966753088153,
      0.539126774903795,
      0.467115015681699,
      0.386589129237553,
      0.354456593747415,
      0.375785128167258,
      0.407365201168629,
      0.433149611004399,
      0.48891311667121,
      0.540586642573768,
      0.542702215040422,
      0.5179328368765,
      0.485366640887198,
      0.44726859619084,
      0.421471606189998,
      0.425268301359551,
      0.440817451112144,
      0.446277419920349,
      0.440659589728071,
      0.428851001036081,
      0.429787956449293,
      0.432456734259236,
      0.401538060942461,
      0.363785269960364,
      0.378195330699353,
      0.441345102044771,
      0.487457599770305,
      0.464730196694441,
      0.446565903813265,
      0.46542461063152,
      0.487217341563735,
      0.498556443478857,
      0.518497190216967,
      0.525048567839092,
      0.473018833501507,
      0.415521191525591,
      0.395452137907256,
      0.419374694401427,
      0.464095726845572,
      0.512882231310557,
      0.565274194491892,
      0.572439914938217,
      0.534130660182588,
      0.492162613170701,
      0.475287361989929,
      0.487616834752025,
      0.520159770852081,
      0.539504471403996,
      0.501892033329848,
      0.457460636635543,
      0.471694326442202,
      0.511981633148319,
      0.512635122702537,
      0.455654858624512,
      0.389089356730046,
      0.372950584501117,
      0.401431934999893,
      0.442412223706638,
      0.461706681725699,
      0.467676820710892,
      0.507606258412981,
      0.563425969901033,
      0.579851214099202,
      0.543922802074021,
      0.460843916742616,
      0.409416079694856,
      0.437732160281285,
      0.510486325235928,
      0.547350425786921,
      0.482360623742657,
      0.411953666036543,
      0.416592493470982,
      0.462722622925641,
      0.471591120820126,
      0.39977186944338,
      0.323659490688702,
      0.317597973724661,
      0.351882888458304,
      0.35533561169035,
      0.0826704980655533,
      0.182822943234174,
      0.307475775455172,
      0.358188547616108,
      0.299133408090984,
      0.236148249007097,
      0.222509393214556,
      0.223259141956529,
      0.208010055296631,
      0.227526977090682,
      0.291822210045161,
      0.337757886013519,
      0.33267458590779,
      0.294404907510699,
      0.235954035911848,
      0.186390504181746,
      0.180825928881265,
      0.210170516095811,
      0.230476459434359,
      0.208828351447813,
      0.157150046082305,
      0.113501529971051,
      0.0982313014665676,
      0.122111764722544,
      0.194561288894989,
      0.281985996989782,
      0.298693501225612,
      0.261169530457105,
      0.219709822865912,
      0.176913923335389,
      0.137051530160994,
      0.114501917499825,
      0.125863422276479,
      0.174174214244415,
      0.236912929192281,
      0.264621077174647,
      0.228343945808874,
      0.163809945789362,
      0.109070172390022,
      0.0914428625450458,
      0.110694526880371,
      0.160831547706397,
      0.237169030814743,
      0.314964676716724,
      0.369316882420085,
      0.413286840304101,
      0.429791680103352,
      0.392048145037185,
      0.335319993718033,
      0.280530302773347,
      0.240552969233201,
      0.230912566203981,
      0.257069630988653,
      0.307531435568924,
      0.347388415516415,
      0.382353354424384,
      0.419911735519436,
      0.426262551777696,
      0.412325069809515,
      0.405972216815329,
      0.404453855752929,
      0.410225411175468,
      0.429770041519197,
      0.450441217463407,
      0.433394016312135,
      0.370203120548039,
      0.315648064526684,
      0.28110205891585,
      0.253107994675207,
      0.226889517787087,
      0.223606523535958,
      0.231680588458911,
      0.214306183374073,
      0.179468035585213,
      0.163059701799322,
      0.172633998079455,
      0.179883415776449,
      0.159501339216519,
      0.137973100047707,
      0.133496503090146,
      0.13357330320612,
      0.135854491024004,
      0.150063246659426,
      0.181200531928937,
      0.228312590852764,
      0.273958065968688,
      0.306701568440553,
      0.333431222404672,
      0.348288237251324,
      0.339514175830551,
      0.309255139412232,
      0.282495994574324,
      0.281823083672325,
      0.319352923369556,
      0.381290552470578,
      0.412782014140953,
      0.369923875742635,
      0.303469405872623,
      0.261814623985122,
      0.25341922584782,
      0.270056609931347,
      0.274674081412384,
      0.246297178541297,
      0.230204764548303,
      0.263462395970155,
      0.345330564804724,
      0.399574897706902,
      0.386545932309733,
      0.398859272899931,
      0.459690824185652,
      0.530130277859079,
      0.547225417223644,
      0.529250214450427,
      0.516541841118391,
      0.501141252271634,
      0.472138903031581,
      0.440654629714575,
      0.417813627775865,
      0.423323680895886,
      0.466804727716091,
      0.520784242533701,
      0.536859733493726,
      0.499866837743984,
      0.435810282444313,
      0.373727775388492,
      0.335502527049432,
      0.328592316499137,
      0.343382867557518,
      0.376148361570491,
      0.423456979380584,
      0.441320104677097,
      0.414457378985572,
      0.374216689871898,
      0.339604938748492,
      0.317945987935323,
      0.315577628756912,
      0.333902198845308,
      0.357569625353584,
      0.372247741145684,
      0.37599075410619,
      0.369559842700037,
      0.367417647887017,
      0.366586642698247,
      0.348925671565066,
      0.332468294582224,
      0.352970477946915,
      0.406227254271275,
      0.438542097038182,
      0.404532228491008,
      0.366476001310385,
      0.366069921280472,
      0.385989225811813,
      0.40985231634817,
      0.431938464965532,
      0.428640522407661,
      0.384627900310193,
      0.348174008470279,
      0.348427142257924,
      0.384669234296741,
      0.425924630621721,
      0.459527154151586,
      0.502591926405012,
      0.515465810076449,
      0.492270910422326,
      0.451754140499526,
      0.412210792132637,
      0.39507867448472,
      0.414998728851074,
      0.451484188764943,
      0.445609236044175,
      0.411710174965429,
      0.412698207069794,
      0.441746686713959,
      0.450630832246976,
      0.411658924037666,
      0.349172875915422,
      0.321572471557394,
      0.337803421536257,
      0.379460055363803,
      0.418298475352758,
      0.441577653927269,
      0.474479579940444,
      0.50197989116322,
      0.490604892200731,
      0.448294425872716,
      0.382583954963971,
      0.34008705061428,
      0.353610231077007,
      0.404784346174128,
      0.44162240052477,
      0.409039283139086,
      0.360652639557671,
      0.350282811033114,
      0.358831784125471,
      0.34876441202469,
      0.296223471687908,
      0.242355586417288,
      0.232336553367204,
      0.250831859735152,
      0.252752234419819,
      0.0832919067647445,
      0.155915165107965,
      0.22526069244729,
      0.238679143130824,
      0.192368614482939,
      0.154580113192584,
      0.153888631168745,
      0.170524157747229,
      0.182681160041021,
      0.203713693376733,
      0.237197873122149,
      0.257362605127619,
      0.250612989177336,
      0.227020095378392,
      0.18670468575947,
      0.152933863771009,
      0.15933598143516,
      0.194214189664792,
      0.211409288066819,
      0.184170242541873,
      0.145682397957299,
      0.133579700396833,
      0.156353274523091,
      0.218605598699618,
      0.303357340846922,
      0.346450693986963,
      0.312484461030251,
      0.271751204432556,
      0.234326398096488,
      0.190740744352959,
      0.151438518925396,
      0.132516111832063,
      0.146320539660701,
      0.184651507287807,
      0.22073768979899,
      0.227025171493482,
      0.201921099448308,
      0.16534914326353,
      0.125913717087056,
      0.101670241035365,
      0.101328804674781,
      0.129549486192232,
      0.19162861607092,
      0.267878076225326,
      0.321806840068994,
      0.358031408022097,
      0.365855288522138,
      0.328939069681293,
      0.286252897306452,
      0.247552041810685,
      0.214181205722589,
      0.202478707900181,
      0.22506250273684,
      0.278277017784352,
      0.329208906343762,
      0.377642009349036,
      0.420321740447498,
      0.418150534685126,
      0.386933056734523,
      0.362792547796268,
      0.345025541519167,
      0.333326031345299,
      0.350084840848283,
      0.390875254085292,
      0.405805910045108,
      0.353571221136605,
      0.27956899089711,
      0.22130300469135,
      0.189006413017804,
      0.178827145543714,
      0.186892498703146,
      0.200886323741402,
      0.195410836843597,
      0.171348939757781,
      0.1560806411654,
      0.16215865531195,
      0.168325052675491,
      0.147738649575638,
      0.122832812248369,
      0.114934232166687,
      0.115968220964857,
      0.120010198019006,
      0.136332970381102,
      0.172355313228568,
      0.223095164863399,
      0.260108568768986,
      0.286348647133917,
      0.320301985057265,
      0.336984062721676,
      0.312169529110823,
      0.27559247986775,
      0.26408602861742,
      0.271571311337742,
      0.295018519270968,
      0.336415071240441,
      0.375444709369638,
      0.366607413037809,
      0.327445088959939,
      0.293705063865012,
      0.275867341306028,
      0.27284987240651,
      0.261284229750543,
      0.227493856874207,
      0.207149519022848,
      0.235384463481915,
      0.319594614426514,
      0.378664532959151,
      0.357660977543856,
      0.359473792220987,
      0.416429713391706,
      0.487973997340271,
      0.501159669502098,
      0.477303229901784,
      0.4700058768702,
      0.476525820928094,
      0.471634443345751,
      0.441199876391393,
      0.399546203652954,
      0.381875608656404,
      0.409460549917306,
      0.464825907215698,
      0.494936765004025,
      0.471139214714588,
      0.421679784845455,
      0.374398380065391,
      0.337684230137535,
      0.322098116558397,
      0.335953563143101,
      0.368477626218957,
      0.388722985850897,
      0.377419660536717,
      0.34820041391709,
      0.317695020726888,
      0.288536393881205,
      0.271216341587501,
      0.279665836599477,
      0.3128411182772,
      0.347710256893041,
      0.358678966274633,
      0.357270190414893,
      0.356060139413049,
      0.354801543834491,
      0.349646969283121,
      0.336937393910368,
      0.3240198783418,
      0.329418506397933,
      0.364987688855298,
      0.40796890889268,
      0.408062358366642,
      0.37810724341667,
      0.365255790618107,
      0.375092362857204,
      0.394046813040888,
      0.403557243931826,
      0.382801916630566,
      0.342387263489493,
      0.321800503360493,
      0.335979035837682,
      0.383562475373328,
      0.431071249538463,
      0.451553580035334,
      0.470666725582784,
      0.476284971684423,
      0.465106783941618,
      0.433704563227906,
      0.392667226121231,
      0.371184911601636,
      0.385348973160401,
      0.416593804500883,
      0.418209788442964,
      0.39819472626846,
      0.398359638248824,
      0.414257114288046,
      0.422680661738162,
      0.399809885228471,
      0.345699582798167,
      0.310236273021617,
      0.317013370589063,
      0.362644366849584,
      0.417221070633203,
      0.444472542340856,
      0.458775652185151,
      0.459744261879213,
      0.436728462666044,
      0.407904927505695,
      0.368834301810042,
      0.325670427424707,
      0.308368086422888,
      0.327990713538706,
      0.365789318568944,
      0.371147421203378,
      0.348330555453471,
      0.335568964723446,
      0.326995106389134,
      0.306880400811174,
      0.267140520145907,
      0.229897824925793,
      0.217775168864195,
      0.221903572555509,
      0.216817673343085,
      0.103239776935912,
      0.164217886549784,
      0.201738338715793,
      0.198665715927007,
      0.167248271532358,
      0.148599552906195,
      0.155785936226656,
      0.185024765450697,
      0.220527828871299,
      0.241671580585384,
      0.245431619466723,
      0.238773823494639,
      0.234833518977065,
      0.232000070359369,
      0.208382992973841,
      0.180266227998099,
      0.186192463858075,
      0.219959915416555,
      0.242072894101771,
      0.235742490896484,
      0.237132815394754,
      0.27431194327621,
      0.34471766017739,
      0.439332209403569,
      0.506816556293614,
      0.46105202432886,
      0.352248554804376,
      0.317884740896816,
      0.308480213566127,
      0.275501257350385,
      0.232051389121609,
      0.198691997825759,
      0.191533161704991,
      0.20671376313637,
      0.225118141140164,
      0.229354176319072,
      0.218623764494708,
      0.206433568208827,
      0.183740807220334,
      0.154554568959252,
      0.13713097556466,
      0.146575051494596,
      0.200051061981014,
      0.28459789662292,
      0.344299483648528,
      0.37133949066864,
      0.356511083948374,
      0.308722810548785,
      0.27630786308963,
      0.254981654195301,
      0.230794812011944,
      0.217029712933967,
      0.235574938221409,
      0.290695505895836,
      0.348718632462156,
      0.396865102658262,
      0.419564755769747,
      0.386962771028659,
      0.338288375031328,
      0.313833822597229,
      0.303908805316315,
      0.29733974413194,
      0.322038380246992,
      0.378793534173462,
      0.408329464999371,
      0.354975625943378,
      0.268934831646926,
      0.203840436738941,
      0.177664494673544,
      0.184516571760202,
      0.204345357915889,
      0.217613390504254,
      0.210599468117943,
      0.191389209141037,
      0.179700073470267,
      0.185467743824484,
      0.196106715199377,
      0.189559705920667,
      0.17394857773918,
      0.169486492557127,
      0.169304614616791,
      0.162693183879382,
      0.164482603594121,
      0.190550328015837,
      0.234804178448653,
      0.251694803859159,
      0.247484699135901,
      0.268465008993486,
      0.300939400803778,
      0.309990480767216,
      0.301884960257472,
      0.296932873699029,
      0.294107179885981,
      0.297943418442253,
      0.323924091575048,
      0.361984356980075,
      0.368658311253179,
      0.354002191777092,
      0.334995715223883,
      0.307573288241032,
      0.277039211404289,
      0.254551057644888,
      0.232153311951634,
      0.215881872853286,
      0.23087916701504,
      0.295686560392705,
      0.358088506447337,
      0.351235316456798,
      0.34977408570489,
      0.391254711178806,
      0.454498090632613,
      0.475787327480569,
      0.45315108145328,
      0.442177088465731,
      0.455536650007874,
      0.463135551394954,
      0.432300000577727,
      0.375163173066173,
      0.340893212175913,
      0.356274157484318,
      0.409040522421769,
      0.453121933898443,
      0.447573992066741,
      0.40800657321802,
      0.367401343220251,
      0.339919236293734,
      0.336233124180421,
      0.362021060434623,
      0.392155894560719,
      0.389198418353562,
      0.358871986585999,
      0.328907048499793,
      0.307937563977128,
      0.291782283549555,
      0.28519166733977,
      0.301439766099295,
      0.342725245816042,
      0.384881557230664,
      0.391814832919429,
      0.378359856507086,
      0.369519962172618,
      0.362968650213526,
      0.354666553368886,
      0.351001223066707,
      0.345190237403024,
      0.33746387078699,
      0.348866569341491,
      0.380704702027669,
      0.38833394388366,
      0.360773744636381,
      0.347700690068144,
      0.360130534974703,
      0.381719912952536,
      0.39210958370168,
      0.370133605895083,
      0.330778764559403,
      0.317309689957688,
      0.343137546905967,
      0.403677282942564,
      0.456311141963331,
      0.465345680644909,
      0.46884578033006,
      0.468596228284158,
      0.462488528345629,
      0.43958930699481,
      0.402660530813583,
      0.381489883703698,
      0.390446723714198,
      0.414361752925956,
      0.421911039244395,
      0.419576202054422,
      0.424070660279777,
      0.422158936839837,
      0.414669552701509,
      0.396272540085299,
      0.350190003769896,
      0.30986717531809,
      0.311740880535678,
      0.367167424757607,
      0.437624207741385,
      0.4660917356627,
      0.470890673313222,
      0.465359704190394,
      0.439463819393069,
      0.412128772404755,
      0.383043155280621,
      0.340574887815431,
      0.307873207684059,
      0.307006547399954,
      0.337728731975661,
      0.359235712735029,
      0.351794845127682,
      0.342401207578519,
      0.327958834758555,
      0.302096058876679,
      0.273188815497188,
      0.252427420407144,
      0.241520788388412,
      0.231273514875056,
      0.211874638306873,
      0.125746015197919,
      0.188117691630273,
      0.222240572756486,
      0.22417050336498,
      0.203232402450664,
      0.198759724591169,
      0.219295105458131,
      0.254111329098525,
      0.279788119766272,
      0.287135077954053,
      0.284558871370782,
      0.268083694673148,
      0.25470631769257,
      0.249855254239049,
      0.235031307178494,
      0.220038227006456,
      0.227285631779074,
      0.250046785878937,
      0.268741155844733,
      0.293334862681225,
      0.350254257339725,
      0.433621535692274,
      0.504242810054988,
      0.541852001951272,
      0.529882721598814,
      0.461471792384988,
      0.38809063682724,
      0.347038791514669,
      0.319635012338445,
      0.290274710112676,
      0.263524209104375,
      0.241579340759369,
      0.229898125512286,
      0.230420170214437,
      0.241916532779571,
      0.260016867972805,
      0.273762427898998,
      0.280116034965462,
      0.263286932649744,
      0.229446750977118,
      0.200059361373362,
      0.190983120617397,
      0.225194440471202,
      0.303872305242586,
      0.37618677192089,
      0.416609315824799,
      0.394956643136741,
      0.335215705920075,
      0.305742362960653,
      0.296580931198701,
      0.281730643386513,
      0.272514034245113,
      0.29602884865621,
      0.351896717579769,
      0.40167264090277,
      0.435621780851852,
      0.443096602134988,
      0.392041703567722,
      0.328957399947121,
      0.302655316232135,
      0.302852811298871,
      0.306567457743911,
      0.332421774986398,
      0.390997320639187,
      0.426281325134336,
      0.375611456359661,
      0.289722603568438,
      0.22919066783581,
      0.211607823751534,
      0.222046982787027,
      0.239935703299886,
      0.253136181386569,
      0.255073677267661,
      0.242591739025532,
      0.228857783956254,
      0.229704942195517,
      0.247187595090732,
      0.261106313565829,
      0.265451685559478,
      0.283998363107307,
      0.298881050121816,
      0.285504964027718,
      0.261968226659745,
      0.25665607097555,
      0.274440887306404,
      0.278122493146798,
      0.268038059038983,
      0.283330476023949,
      0.31720038307157,
      0.34209934256292,
      0.354623958562545,
      0.355680748483397,
      0.348655146745553,
      0.345746507135871,
      0.363475793615429,
      0.387989897122084,
      0.384530072723262,
      0.368421868144794,
      0.350500823649873,
      0.32515985010853,
      0.294870051923358,
      0.277149190986408,
      0.266136295204932,
      0.258950331141511,
      0.27349179814188,
      0.333815717369815,
      0.3994787278613,
      0.389602475828586,
      0.371211045887561,
      0.394085093525514,
      0.455902889013758,
      0.491327456165176,
      0.47608654378726,
      0.463634248666355,
      0.470591181812791,
      0.472915112352604,
      0.448769962264981,
      0.403304320107432,
      0.36886461226255,
      0.369740668783975,
      0.40642531988386,
      0.444541405303585,
      0.440720055542079,
      0.406824238037792,
      0.37340276409913,
      0.353093516587394,
      0.358971443077624,
      0.397883801162022,
      0.435185265973579,
      0.420966048419113,
      0.369409125978803,
      0.329816050903726,
      0.323586378446606,
      0.338133339579276,
      0.35183622593329,
      0.365345579158569,
      0.395089413721772,
      0.433418745262871,
      0.442582054673118,
      0.423597440661772,
      0.402162108515762,
      0.386904621924966,
      0.381139225850576,
      0.385273538971951,
      0.378613005192857,
      0.359448150718847,
      0.3566006913745,
      0.384423729132914,
      0.389407379897983,
      0.347165266952542,
      0.323809987341141,
      0.341903239801849,
      0.380454278480138,
      0.40108632718699,
      0.376026800702984,
      0.332213798066322,
      0.320719583150147,
      0.354541792862107,
      0.426718039030477,
      0.490141419633181,
      0.503035299607831,
      0.504944961807044,
      0.502230935739735,
      0.49835422544811,
      0.482158188440925,
      0.44513215442313,
      0.414868589448413,
      0.412001196057294,
      0.431896703782988,
      0.445475932397236,
      0.449360486786161,
      0.455325322454114,
      0.450876238529578,
      0.437860788272165,
      0.414141797778482,
      0.365398364895906,
      0.323807677371568,
      0.327628827546621,
      0.3905071708515,
      0.470730313064345,
      0.501986375796941,
      0.499825664649378,
      0.486150276597399,
      0.458393269620101,
      0.434951921571833,
      0.40961992953155,
      0.36340991136177,
      0.321854804872587,
      0.315913145902021,
      0.358920471962243,
      0.41156602494004,
      0.425836236235282,
      0.414525310165346,
      0.383809869781255,
      0.355495056315523,
      0.351617117596769,
      0.349641136674022,
      0.333221343152714,
      0.303764773694474,
      0.2684255088326,
      0.127781451645617,
      0.190645945454251,
      0.226509426303524,
      0.234828292430676,
      0.222736432429808,
      0.22774311378803,
      0.258305587251131,
      0.296832851952766,
      0.313934506162579,
      0.313801949596451,
      0.31664327298499,
      0.30500340359923,
      0.290347314101085,
      0.286556884821007,
      0.277351302376635,
      0.269307194788747,
      0.282237247217239,
      0.305555652282862,
      0.319054817283085,
      0.340989468212217,
      0.387463606831067,
      0.425613692798173,
      0.421989920538475,
      0.391724608167354,
      0.37472843636563,
      0.394215828901623,
      0.411620037926009,
      0.377179808678699,
      0.308573027321875,
      0.250486077210099,
      0.225150764189122,
      0.228848555161207,
      0.248062519145058,
      0.271828532672671,
      0.296322169004845,
      0.31336779848399,
      0.322133737347592,
      0.328223596931644,
      0.305903710535822,
      0.270491264141438,
      0.248499330440732,
      0.249615145411582,
      0.283342925965531,
      0.344582389683273,
      0.408585456751279,
      0.454657584867452,
      0.440538706795797,
      0.385656036427887,
      0.366301523516592,
      0.36468823583573,
      0.347482163157512,
      0.332065345062297,
      0.350849100795186,
      0.399545329698902,
      0.441939403237887,
      0.470676743543055,
      0.473477778744552,
      0.421288543984299,
      0.364299500629415,
      0.347326747511859,
      0.354504929952897,
      0.360258975047281,
      0.376036836183358,
      0.421776305556021,
      0.455709620090803,
      0.418395230946314,
      0.345333445487909,
      0.289495555388614,
      0.273407150809488,
      0.277943190942681,
      0.282208736449101,
      0.278879554803132,
      0.274075791646602,
      0.270707647638241,
      0.271731247785452,
      0.287786572420188,
      0.316802530178608,
      0.332742991994857,
      0.332081751955224,
      0.349479278943147,
      0.367438834950921,
      0.353133215923829,
      0.321550750303151,
      0.302305356959243,
      0.314500600373876,
      0.336323316560312,
      0.347517837701424,
      0.361256894179748,
      0.371708102927971,
      0.374671241515305,
      0.384591178064054,
      0.392225071872375,
      0.388083795514895,
      0.386526083665844,
      0.400252341986335,
      0.406190863622627,
      0.390627998741465,
      0.38152390982901,
      0.379313220090741,
      0.370581091152597,
      0.354256015066004,
      0.336674144999734,
      0.314003083474114,
      0.297323708858518,
      0.304615731001688,
      0.360897843495193,
      0.430882805294896,
      0.420667731058178,
      0.391488237623517,
      0.408359691544863,
      0.481556141684952,
      0.527792914910843,
      0.511102054467479,
      0.494455777973365,
      0.493011180014949,
      0.492777263799084,
      0.494411688921123,
      0.483945074039201,
      0.449585141866539,
      0.415437864961858,
      0.42700958752174,
      0.478011691100179,
      0.493419191481374,
      0.461811501603943,
      0.422311864254082,
      0.395011749415068,
      0.391794624350887,
      0.419942107816622,
      0.455321052333597,
      0.446274074818048,
      0.393820476093593,
      0.351466309661325,
      0.348867234793815,
      0.372649532594965,
      0.395104882235358,
      0.411369457304173,
      0.440253082073158,
      0.48055652445472,
      0.505183563607056,
      0.508071765005855,
      0.498436734959747,
      0.479199412324241,
      0.454566913456402,
      0.428074165344569,
      0.394245259553959,
      0.362910503740117,
      0.357224599491539,
      0.389482298951417,
      0.405196292835434,
      0.370811182583997,
      0.345940990096368,
      0.359503664208499,
      0.3950707029556,
      0.411824519177359,
      0.385914730547268,
      0.348544560062214,
      0.338863914442521,
      0.367596437099677,
      0.43858004620454,
      0.514526725086419,
      0.538946079976396,
      0.53642667270564,
      0.525134501878511,
      0.519201469558316,
      0.507831740714016,
      0.47355325784499,
      0.44089578251314,
      0.441329626288381,
      0.480471667902253,
      0.510377340642191,
      0.505558365289983,
      0.493432898559872,
      0.480366886508491,
      0.476708246893882,
      0.471942713084694,
      0.433503988579124,
      0.394735756819613,
      0.39798155798346,
      0.452148722476094,
      0.51961932420837,
      0.547008320044213,
      0.543831014098316,
      0.520045212328359,
      0.481700318848195,
      0.45974541540476,
      0.437234642683763,
      0.389807220507119,
      0.347927665393654,
      0.349818879151342,
      0.421626483780166,
      0.514638686998506,
      0.550137670527426,
      0.533031207051585,
      0.482901361734106,
      0.438843756256189,
      0.421715358832237,
      0.412997186011983,
      0.409073278449572,
      0.407442173293056,
      0.391342660009162,
      0.10927763021573,
      0.176006306503706,
      0.230474594920713,
      0.264313426533758,
      0.26330664239558,
      0.252062782574157,
      0.253350612056734,
      0.275466672843832,
      0.304122131113394,
      0.320404247576573,
      0.327233990616017,
      0.318539926211244,
      0.315423815213143,
      0.325580003786102,
      0.327562492026134,
      0.318065300877333,
      0.323471104439859,
      0.346831933864366,
      0.366577453776051,
      0.368636414372236,
      0.336602653128057,
      0.27997412160266,
      0.226211614720805,
      0.208591905585501,
      0.25704660512576,
      0.351640057779053,
      0.396840396807366,
      0.346097864019484,
      0.255520156754685,
      0.196756264980408,
      0.189316911368468,
      0.215069951438308,
      0.248353144603408,
      0.279582753047381,
      0.31336432378462,
      0.343120751329383,
      0.360472464545154,
      0.357265413325334,
      0.311793495163655,
      0.268326807134167,
      0.263765199913695,
      0.298792432816611,
      0.361470622436176,
      0.417083834858869,
      0.446441314516914,
      0.468794166674444,
      0.463960818824644,
      0.420677319508755,
      0.391820365209772,
      0.378526513728927,
      0.365573444196515,
      0.361161770676211,
      0.382335913746258,
      0.42279166350615,
      0.453328430398515,
      0.474547382237751,
      0.478390845374687,
      0.438556304615946,
      0.398161763985767,
      0.392163999482256,
      0.401343323170978,
      0.404392166093258,
      0.414780071759742,
      0.457394917959585,
      0.494435560665478,
      0.462574410954684,
      0.395752157695892,
      0.344643898238542,
      0.315946108773707,
      0.287213359786042,
      0.265036183455427,
      0.252186995540985,
      0.244770501582559,
      0.247147548790772,
      0.267522019492224,
      0.310050840061408,
      0.357664702650159,
      0.3831077868202,
      0.379212239732283,
      0.367404449733202,
      0.345454227849565,
      0.311693262123176,
      0.284719343530443,
      0.280994297763259,
      0.315867842603772,
      0.353068572597899,
      0.358334968095959,
      0.363752907590799,
      0.377692624824001,
      0.385937771547752,
      0.377881354750541,
      0.36134326587031,
      0.353252357903054,
      0.359421151226513,
      0.374558396693164,
      0.378267824102754,
      0.374709636355512,
      0.381731478458309,
      0.389233073434971,
      0.388423432817119,
      0.388309737240951,
      0.378347440172571,
      0.341177650024362,
      0.309363709194065,
      0.309520032466078,
      0.348660747942752,
      0.381162620065326,
      0.36510092321879,
      0.364204512040643,
      0.419782555533106,
      0.521323623343749,
      0.567410627111566,
      0.540024804376453,
      0.518120621586707,
      0.517913215215534,
      0.522501936998017,
      0.53359617830421,
      0.532563691007504,
      0.495697474740804,
      0.444294410210759,
      0.439103429191629,
      0.49815115152495,
      0.5344656854694,
      0.50060915874165,
      0.439468237503946,
      0.396826213272034,
      0.388720580016851,
      0.412465518598665,
      0.44667798678483,
      0.455244486628033,
      0.430638258385143,
      0.407656636643416,
      0.409490995464316,
      0.42088968456265,
      0.424984224003547,
      0.43027950188871,
      0.459170432610149,
      0.508381519058357,
      0.544349129374292,
      0.552392866583928,
      0.552479388186362,
      0.553438198619135,
      0.527600685758958,
      0.457222070328733,
      0.381747868732911,
      0.34621867667507,
      0.352476939099892,
      0.383103619253143,
      0.392562540939339,
      0.372962025478788,
      0.366364176260119,
      0.385710484615672,
      0.415584021861306,
      0.431877703500319,
      0.41874349437206,
      0.382876768921321,
      0.359387857529522,
      0.371773824261759,
      0.431886214004664,
      0.505875079000301,
      0.535787278133771,
      0.540381353083478,
      0.528692003765508,
      0.511641439220032,
      0.496598309469386,
      0.476667814655507,
      0.461198901088031,
      0.473039449954312,
      0.517666697272052,
      0.541565400056068,
      0.520325453549169,
      0.505692221070127,
      0.511714041336437,
      0.524429810780038,
      0.521587128890317,
      0.489332498887813,
      0.470145911944854,
      0.484467006397271,
      0.514444135618818,
      0.531230144656301,
      0.536702626088089,
      0.558444382799856,
      0.565540049498672,
      0.535119684333055,
      0.505426915189461,
      0.463552658081781,
      0.402904654899715,
      0.363663435186746,
      0.377090170663785,
      0.45786594834214,
      0.543235530355438,
      0.557383078288602,
      0.531196839949127,
      0.499449469077045,
      0.469867249513246,
      0.425829153629426,
      0.389281768919885,
      0.405223227628618,
      0.45537145207625,
      0.476601422187748,
      0.0850911462098004,
      0.157946353079007,
      0.236295866709746,
      0.293520518975142,
      0.291971590008153,
      0.259655329261153,
      0.240450529677392,
      0.253103467671276,
      0.276761539452353,
      0.290726660172637,
      0.307879358314452,
      0.317389972922672,
      0.314512642351698,
      0.30488157806134,
      0.288141371794738,
      0.265466438800669,
      0.256380637450245,
      0.27431239392242,
      0.309459916913134,
      0.324656873764811,
      0.270658374881085,
      0.183497405842572,
      0.125008715653217,
      0.122966867452738,
      0.194434320084943,
      0.308507800614185,
      0.349167706641414,
      0.276389306940374,
      0.185343338184579,
      0.143954658208232,
      0.147341508221363,
      0.167993023959657,
      0.190397731366104,
      0.221121883281896,
      0.26759556459,
      0.305974410218607,
      0.306973418164254,
      0.271937836883148,
      0.209581390334179,
      0.169973619518924,
      0.184027985961544,
      0.247368993139024,
      0.337165980192496,
      0.398639168801422,
      0.415946398164891,
      0.440598152686495,
      0.452427676120122,
      0.420242858979654,
      0.378456129982234,
      0.346038996321547,
      0.336102226978726,
      0.354291679732646,
      0.395295596202488,
      0.438327030408992,
      0.450611369992124,
      0.448012138232648,
      0.44190039220677,
      0.41415421983994,
      0.38914041749129,
      0.386221039218221,
      0.392274072148295,
      0.397708008474959,
      0.411525131341744,
      0.446829238630579,
      0.462859383829762,
      0.41475979940476,
      0.355217280995837,
      0.324251126444598,
      0.301934179852088,
      0.26230536542093,
      0.231018657305243,
      0.221991327517339,
      0.222441276975766,
      0.223895316314624,
      0.239414774784151,
      0.273115589602254,
      0.313907804824389,
      0.353399787454019,
      0.371437972753469,
      0.346154129958884,
      0.283129378309451,
      0.23324890606435,
      0.227045332970967,
      0.257559254773377,
      0.309934329154767,
      0.332928000936908,
      0.312145280714625,
      0.305587007257753,
      0.329866723418575,
      0.356427621494383,
      0.34255183048234,
      0.311542093801726,
      0.314685071333897,
      0.348761667306694,
      0.377628347419478,
      0.369994635259506,
      0.342930336951733,
      0.327821991471372,
      0.322815841571964,
      0.326008225510773,
      0.342744960427665,
      0.346038613216447,
      0.311003855859411,
      0.281806841114573,
      0.287842656488004,
      0.323939205093519,
      0.335984093183633,
      0.320758609665693,
      0.351052144442241,
      0.439420989487983,
      0.537039676818532,
      0.550676999365431,
      0.50943104539994,
      0.483127167235906,
      0.483345176662647,
      0.491109048788309,
      0.489471837502265,
      0.471030073053758,
      0.449153875649568,
      0.442547223537261,
      0.457732122072421,
      0.492097089397214,
      0.500709522859443,
      0.447824513203149,
      0.376353347936428,
      0.345918185664416,
      0.367942349648232,
      0.40656121243609,
      0.424158916860819,
      0.434718482184568,
      0.445307700577046,
      0.448101453564669,
      0.450721223143637,
      0.446872155867497,
      0.434163627700427,
      0.423648558948748,
      0.433830015851212,
      0.463621309478523,
      0.485430048629116,
      0.479327046237338,
      0.464159449142345,
      0.474480733666547,
      0.480620770484341,
      0.434049971376794,
      0.368502097929581,
      0.343377782212769,
      0.362775458457826,
      0.392780786032887,
      0.38399122082336,
      0.351797970980245,
      0.343225992330063,
      0.364821862761952,
      0.402855718906589,
      0.442232545546236,
      0.456611886605985,
      0.422816144348134,
      0.384623075086748,
      0.378701454975752,
      0.413653065359126,
      0.46187160104432,
      0.49233096395713,
      0.522770417102996,
      0.531543958327861,
      0.507052350026603,
      0.470028623398938,
      0.445856447179343,
      0.446712664240592,
      0.475749496928354,
      0.515693013161764,
      0.510200084942424,
      0.471119744549346,
      0.465136166729635,
      0.487351424347267,
      0.493797847852064,
      0.465571983381655,
      0.427095314025141,
      0.431854390929218,
      0.471338840147846,
      0.497871795056516,
      0.480867662013864,
      0.466595575931532,
      0.505882015743723,
      0.543669914272243,
      0.533170019707606,
      0.501167766843248,
      0.447057442312381,
      0.387518357524843,
      0.365034948119006,
      0.390622020802342,
      0.442507143944012,
      0.46136222693146,
      0.43902024852654,
      0.422174833612599,
      0.421656020330968,
      0.411182145858494,
      0.358916037929791,
      0.304432523209153,
      0.311638255104474,
      0.361173467200535,
      0.381869296636247,
      0.0679573360698529,
      0.140286880203544,
      0.218227075091654,
      0.258726983989604,
      0.239925263528676,
      0.210583442286985,
      0.206377263979516,
      0.228050056176651,
      0.248460941394849,
      0.260382939633734,
      0.278909402681848,
      0.290005758834471,
      0.279946430717735,
      0.253844379650714,
      0.222019891896953,
      0.192180862338922,
      0.180149620503283,
      0.197400556479265,
      0.232092609874673,
      0.242702237424136,
      0.193979645580659,
      0.1290773705974,
      0.096489145532398,
      0.110161422932185,
      0.180162524636742,
      0.280786391195253,
      0.316354573488292,
      0.253984593419954,
      0.172088371881515,
      0.125601152318709,
      0.110055825603556,
      0.11050032542819,
      0.125781107976709,
      0.167384918722449,
      0.229287933807737,
      0.266949782641802,
      0.244372656556081,
      0.185178624180193,
      0.125822344532461,
      0.103927362597532,
      0.126409883364712,
      0.181339084213172,
      0.255060950715091,
      0.3187649383611,
      0.36026168264041,
      0.401223890758912,
      0.421164189560617,
      0.394533692501331,
      0.346543948021507,
      0.298169614938142,
      0.273652618177265,
      0.285905327419957,
      0.327339337482078,
      0.377036555770472,
      0.401544915250188,
      0.405968155883355,
      0.402067924863598,
      0.383350608552468,
      0.36544623507172,
      0.359340960186899,
      0.358787043402397,
      0.367753462482275,
      0.390800021503358,
      0.423819220011806,
      0.425070420517612,
      0.363262175967172,
      0.301682489815155,
      0.282049011120655,
      0.274220836369078,
      0.240156428811048,
      0.202637366518362,
      0.182529925564386,
      0.174304521917274,
      0.171300589166457,
      0.184313252504011,
      0.211921982201716,
      0.236597835706635,
      0.248127210393328,
      0.247455220413739,
      0.226957467796859,
      0.187793414628166,
      0.166381984447067,
      0.182866661526042,
      0.226023828279325,
      0.281224030174974,
      0.316648244917951,
      0.317010771714755,
      0.312588135528856,
      0.315087155238791,
      0.32130747931469,
      0.312787571416392,
      0.303014025635245,
      0.319625228758945,
      0.356382995601473,
      0.384664427687445,
      0.37843385228152,
      0.341621624053828,
      0.299902535767301,
      0.267064884554079,
      0.25698158977196,
      0.269800787821443,
      0.275089194388214,
      0.254141183739043,
      0.244657697950192,
      0.269705020084878,
      0.318853472538218,
      0.327830707362357,
      0.301840377528104,
      0.332988572800199,
      0.423484824036122,
      0.509657961290872,
      0.517458434151886,
      0.490505116163051,
      0.471708310567428,
      0.458607617802616,
      0.443493988622011,
      0.422787956802117,
      0.39821802270804,
      0.397314792446887,
      0.4367526717283,
      0.487330866635646,
      0.505892567677408,
      0.471100769562264,
      0.39755271868432,
      0.332448173911472,
      0.315324993864984,
      0.344006164425755,
      0.378160588631558,
      0.383912157424999,
      0.390066404250764,
      0.408184719705529,
      0.419438960880473,
      0.419121503945082,
      0.400423543321924,
      0.375142572233623,
      0.36411333162173,
      0.376235031499084,
      0.39648373655616,
      0.404736391810729,
      0.397769273645996,
      0.378166367896641,
      0.376315832957541,
      0.386695660109085,
      0.370789557290754,
      0.335188208461002,
      0.321075603552953,
      0.345601376110539,
      0.381249742225444,
      0.370238439001057,
      0.331959007368042,
      0.318103100935283,
      0.332533257305286,
      0.361929313583143,
      0.398870347667041,
      0.415460185922598,
      0.388696024069108,
      0.361753717069067,
      0.359743389617039,
      0.382610051291496,
      0.410646669788305,
      0.438368072945171,
      0.480063183790904,
      0.501359633645177,
      0.48155135485636,
      0.440012908290362,
      0.408915210548046,
      0.406509115774756,
      0.436089532100491,
      0.478198924275659,
      0.472848013368467,
      0.431365792909809,
      0.416981281125983,
      0.422027189084887,
      0.413734982861522,
      0.382114528847872,
      0.346627597055389,
      0.350728577300926,
      0.390356547509739,
      0.428967241027874,
      0.433070791392935,
      0.424956865188951,
      0.446217141656175,
      0.468501647300815,
      0.466669729908539,
      0.449570046596782,
      0.404059878094341,
      0.349750976652373,
      0.332645414035058,
      0.357874323899168,
      0.392116895129773,
      0.381147898437126,
      0.343920362016482,
      0.328997508335516,
      0.332604018193037,
      0.327642373109234,
      0.285730403997804,
      0.235365807691589,
      0.226601147411915,
      0.25015757848494,
      0.256924787827556,
      0.0738193475070625,
      0.13912895714362,
      0.199171233615866,
      0.217580634657375,
      0.193649040586467,
      0.17286669687132,
      0.172689763343492,
      0.189313712338083,
      0.211965805612185,
      0.235066513588875,
      0.254208910924829,
      0.256430205972899,
      0.241312548409093,
      0.219537190492474,
      0.189980825537871,
      0.155778104397423,
      0.136130131389687,
      0.145560106893294,
      0.172654601551386,
      0.178815798783604,
      0.145729712888475,
      0.112004826455637,
      0.114680026709756,
      0.159982801149033,
      0.238863126747401,
      0.312647501114578,
      0.322658632018846,
      0.263733752710465,
      0.179782322715864,
      0.120310751310677,
      0.0923550309025199,
      0.0868767628401538,
      0.0991398209815251,
      0.131579095447483,
      0.180448501914166,
      0.221075115279286,
      0.216841460204127,
      0.173625170747071,
      0.124577786720468,
      0.10350635499098,
      0.114888459976694,
      0.15142535585996,
      0.21076846330034,
      0.277191175382228,
      0.328828621870182,
      0.364568199239088,
      0.368093522251531,
      0.327974056560859,
      0.279800262306939,
      0.238766460103894,
      0.214069527928971,
      0.21495877822693,
      0.243139761889707,
      0.293310526051992,
      0.337814116274875,
      0.365807320620153,
      0.373756639772754,
      0.354297937819881,
      0.331114713935775,
      0.324431146953078,
      0.32933576188735,
      0.342373574434204,
      0.366427264868568,
      0.401065835892727,
      0.407065056514377,
      0.346190343656547,
      0.281619418639201,
      0.261866139948648,
      0.255227306835337,
      0.228715759013606,
      0.210428808004435,
      0.211041115627333,
      0.19923585080051,
      0.16678495026776,
      0.145299823815721,
      0.148079668910794,
      0.160471799237187,
      0.156439980367461,
      0.140728322764861,
      0.132404717859413,
      0.130446303090681,
      0.13660915434033,
      0.159038487302357,
      0.199110333589755,
      0.26201208619885,
      0.320597772841223,
      0.327667772795179,
      0.305190927372866,
      0.286851747637315,
      0.289141796357701,
      0.295244966039402,
      0.300891285062467,
      0.311267975835713,
      0.329553565824587,
      0.353961536439005,
      0.367475839037809,
      0.34534253477618,
      0.300240185982517,
      0.26218207050772,
      0.249576661373212,
      0.258960464304726,
      0.257470720197265,
      0.237767154749702,
      0.23958305544893,
      0.279802287633313,
      0.344457937604393,
      0.356824627696408,
      0.312684184941741,
      0.315672523873631,
      0.379303076315815,
      0.459451570699861,
      0.492358474051013,
      0.492039638358334,
      0.486989696282882,
      0.4721305334144,
      0.442240055585022,
      0.406567040824249,
      0.378578569997262,
      0.380958591391831,
      0.421236154001513,
      0.474086062378583,
      0.497446252282915,
      0.467408607566935,
      0.398266605300123,
      0.33036176179013,
      0.29826295060814,
      0.306914457258803,
      0.333799078602706,
      0.35043370378024,
      0.36037284649303,
      0.367314731782891,
      0.36201835447,
      0.34664359272936,
      0.322264752985622,
      0.301201699036657,
      0.298767918187997,
      0.318403136166729,
      0.34856767090808,
      0.365489047634273,
      0.360154823370036,
      0.337300475355366,
      0.323374305221006,
      0.324754420322216,
      0.318386496745181,
      0.300616029671574,
      0.294794127226089,
      0.318731893744343,
      0.355325992320795,
      0.350358724338788,
      0.320987452019355,
      0.319351006081293,
      0.346252619126696,
      0.374446629059372,
      0.384108682374752,
      0.368394408339628,
      0.335391152148705,
      0.319745496843398,
      0.331615140428038,
      0.364844764202737,
      0.390960186331964,
      0.402021883667274,
      0.42881437603185,
      0.449120677954987,
      0.442547976560116,
      0.418130441321502,
      0.393620177109168,
      0.387144339877709,
      0.408481839635018,
      0.444183058194583,
      0.441779253157252,
      0.405267559038894,
      0.38567505313853,
      0.379888071962466,
      0.372850016559964,
      0.356664197386638,
      0.328130592439229,
      0.316169280239644,
      0.333806499627138,
      0.374981600581925,
      0.412617486964552,
      0.424961969948561,
      0.434185123501406,
      0.440131778945663,
      0.428627236639818,
      0.400643063847811,
      0.349378690720149,
      0.299864487435821,
      0.28902597108712,
      0.318794016767467,
      0.360311081709803,
      0.359506724533069,
      0.327577736000416,
      0.310055901270682,
      0.301932218372535,
      0.285379518813353,
      0.248542133898069,
      0.212625759282858,
      0.202231178277485,
      0.205876438331108,
      0.19603185754009,
      0.108963980414345,
      0.17145331933544,
      0.212341438647988,
      0.207494426301864,
      0.168641378830285,
      0.143888258813494,
      0.148768079858581,
      0.174859379306541,
      0.197325123697442,
      0.208928739386448,
      0.2226685747265,
      0.23287192972638,
      0.229716884892461,
      0.223657653483978,
      0.207732157037543,
      0.177464851424676,
      0.151906395753842,
      0.150568022142323,
      0.171452194573795,
      0.187321581559082,
      0.183670885719395,
      0.191963522363844,
      0.246532832566002,
      0.339347843177353,
      0.420340504055792,
      0.424004270299896,
      0.366007435128114,
      0.303393140031286,
      0.229245333499244,
      0.167475769532164,
      0.130892756263283,
      0.117370689297151,
      0.124523485949174,
      0.151595247371113,
      0.193751461327048,
      0.228853028329844,
      0.224818954012521,
      0.188004225463798,
      0.140238979596025,
      0.107245434736111,
      0.103243897695667,
      0.131842955601254,
      0.199962983198013,
      0.288761984957688,
      0.350190531044198,
      0.375846144385477,
      0.357641308744309,
      0.306734153085855,
      0.265129651194395,
      0.235957592257778,
      0.215261452921616,
      0.20841130684837,
      0.222451854405839,
      0.258685347989484,
      0.299939614633665,
      0.337290776895944,
      0.34929516640364,
      0.321817733287078,
      0.296425825080208,
      0.301687024445573,
      0.315555518029328,
      0.312696410554721,
      0.31746946456725,
      0.355620937415607,
      0.38459071045396,
      0.335400664289339,
      0.262429405827967,
      0.237469144665358,
      0.242032661910328,
      0.237583157883976,
      0.244282450005079,
      0.266205368235358,
      0.253285865326945,
      0.195088106490451,
      0.142483499383345,
      0.12341293651202,
      0.129598177470293,
      0.12766922670444,
      0.113232087724401,
      0.10898087478452,
      0.116654008615923,
      0.127180903960787,
      0.143975374540737,
      0.178291171711122,
      0.239575330447227,
      0.290335787547144,
      0.283272635176364,
      0.258992512674455,
      0.257006477336406,
      0.27989784061981,
      0.302122950602798,
      0.306984968610748,
      0.29971100323346,
      0.298372403823626,
      0.319223690725881,
      0.350414911870122,
      0.349792128825813,
      0.31535934202748,
      0.281454585425327,
      0.271482442244645,
      0.282376714753998,
      0.274416451913437,
      0.241878095714163,
      0.236733600939299,
      0.274010523474574,
      0.340557665101326,
      0.363605946350989,
      0.321451697084596,
      0.307077464971006,
      0.349385184531402,
      0.424821745596315,
      0.466223670317722,
      0.468345598136346,
      0.472047524633546,
      0.473519303817089,
      0.451840467909033,
      0.407691885855325,
      0.366772653320488,
      0.360785507571645,
      0.389613767144467,
      0.430247024093545,
      0.455117048971993,
      0.444096930708137,
      0.395253187470694,
      0.335216899404406,
      0.295564551107701,
      0.291489970308427,
      0.320931712724746,
      0.358662534419028,
      0.374227410783909,
      0.358180050064196,
      0.325462585707936,
      0.295805200107335,
      0.273873868734051,
      0.261156787291448,
      0.262722394172654,
      0.28472901527327,
      0.322420840988574,
      0.347950893204089,
      0.345675754148684,
      0.323985181735604,
      0.306563713151575,
      0.302144288195512,
      0.29874592995517,
      0.289262392803315,
      0.283949391840504,
      0.301211161633855,
      0.333293596029574,
      0.327365362940212,
      0.297215241122389,
      0.302692127027567,
      0.34445709948117,
      0.381278123230703,
      0.381011036549452,
      0.350620722752988,
      0.310415350184477,
      0.293230460479142,
      0.313102941615303,
      0.369010960972382,
      0.416611786937467,
      0.416582670227579,
      0.420896397336047,
      0.434184251644446,
      0.429147928763214,
      0.404995304300278,
      0.38239560667129,
      0.378648361856252,
      0.396665840722994,
      0.422778191929936,
      0.421102896957632,
      0.396564023043131,
      0.381701417631716,
      0.372398320269462,
      0.370678820943922,
      0.369985983997343,
      0.342421651405525,
      0.310654947893972,
      0.310090029205525,
      0.355263354821837,
      0.413458242361867,
      0.434405801005197,
      0.435450908839634,
      0.433036861324953,
      0.4162282237768,
      0.382100353688355,
      0.329263284919796,
      0.282857328464485,
      0.272610323948127,
      0.300409924172701,
      0.348288242546076,
      0.368822526811584,
      0.353154321810542,
      0.333742720123477,
      0.312070944129988,
      0.285445817051976,
      0.254344566089746,
      0.22957314207865,
      0.21993007315727,
      0.213343742212456,
      0.193279896444381,
      0.162276520169707,
      0.225609951662787,
      0.245849318537666,
      0.219323274199914,
      0.170685786410954,
      0.146982698774613,
      0.161581413065917,
      0.207171948693178,
      0.23946527355752,
      0.240413314649092,
      0.238689682808493,
      0.237349743244041,
      0.230377626784571,
      0.230894598115569,
      0.235126107642347,
      0.230268175142913,
      0.220623772802261,
      0.219246460010411,
      0.23265352791811,
      0.263079409167008,
      0.305465957166004,
      0.36756643308035,
      0.445218548944684,
      0.511145382317664,
      0.521863853705388,
      0.455212565691276,
      0.384515785543889,
      0.370645169626186,
      0.356542957334785,
      0.329521494574129,
      0.30480080812726,
      0.289503196709602,
      0.277235755582071,
      0.262571572336023,
      0.254998426817493,
      0.253869618693478,
      0.251551911988681,
      0.241927503894067,
      0.211800051585235,
      0.170429928878303,
      0.146619451581081,
      0.156473008286643,
      0.21408877712857,
      0.305903477140425,
      0.377366746440546,
      0.407989661166148,
      0.378833884846357,
      0.319829767259538,
      0.290056483955794,
      0.277796967216067,
      0.260494340167488,
      0.247048356812907,
      0.255806769488668,
      0.292379860289441,
      0.337728652200003,
      0.376142054942928,
      0.378492353422137,
      0.333596665036549,
      0.30224157224359,
      0.317989325430004,
      0.343153840446453,
      0.334033578987359,
      0.32041525958282,
      0.344586403830928,
      0.372881412675096,
      0.336149466802728,
      0.269770148850834,
      0.234133137673399,
      0.230510096445223,
      0.229084195891867,
      0.243693728440979,
      0.272887921953933,
      0.269907867505021,
      0.227835770032096,
      0.189339422998493,
      0.175847869669437,
      0.175192012876842,
      0.168959484981798,
      0.156116760513906,
      0.150192851520197,
      0.157972121260477,
      0.169423564498721,
      0.179980234205011,
      0.2002450218853,
      0.241075050597324,
      0.269800060322536,
      0.261608237407267,
      0.26099623598456,
      0.292667847006563,
      0.337877846912183,
      0.379468869267729,
      0.396409254017305,
      0.378082372192628,
      0.344891655704449,
      0.334547041796241,
      0.360306208208693,
      0.377277366413259,
      0.356115769204059,
      0.317930672179193,
      0.297203229682774,
      0.297092902567902,
      0.277322456576577,
      0.228771558111681,
      0.211379957627923,
      0.243204742940201,
      0.319587320723753,
      0.376466575696378,
      0.353160555328367,
      0.331169514229365,
      0.356583074117668,
      0.418512495871877,
      0.455832735611584,
      0.458743229577116,
      0.46858856779209,
      0.480954026379353,
      0.468199977876127,
      0.422410896358312,
      0.371133506832081,
      0.355380139272312,
      0.378438803082714,
      0.412878897232123,
      0.431881787751087,
      0.425020148381849,
      0.397247790792652,
      0.361663917581848,
      0.32951886240423,
      0.318804369946028,
      0.348167461054062,
      0.394647949196554,
      0.403282610847287,
      0.366788661439347,
      0.321793899951304,
      0.29199891317322,
      0.278206588320279,
      0.278067840101589,
      0.288641915618395,
      0.315673165193675,
      0.355882838028687,
      0.379846539338286,
      0.381025506592098,
      0.36353395872358,
      0.339077150405286,
      0.322569465425284,
      0.324107425282208,
      0.326713170558666,
      0.318839678844389,
      0.323426649162414,
      0.348772850508221,
      0.340036480584901,
      0.296491175899282,
      0.291279610514644,
      0.333968628379994,
      0.381514067515114,
      0.389027373939772,
      0.354692646028599,
      0.308081311239489,
      0.289665535426651,
      0.314726926214523,
      0.388490483332919,
      0.464352731264655,
      0.4748786495151,
      0.468021756621287,
      0.467218505117382,
      0.450338805730717,
      0.413885356546632,
      0.381335694236712,
      0.369768877872043,
      0.378274625097878,
      0.400477300212495,
      0.415354618996931,
      0.414618894222759,
      0.410985310453548,
      0.396966701027996,
      0.39307410095985,
      0.398138142180759,
      0.365710034305028,
      0.317467116195816,
      0.304209741562733,
      0.350105479431765,
      0.418129497791619,
      0.446650735777358,
      0.444932971702908,
      0.438968408931232,
      0.432997948554799,
      0.416279812914083,
      0.366908919643696,
      0.30892659480532,
      0.285416153414295,
      0.301741843273988,
      0.346067822269771,
      0.383344321616465,
      0.394423959342231,
      0.382974117953514,
      0.347281800291115,
      0.317941937556314,
      0.313011646126493,
      0.306989473633828,
      0.287980295041505,
      0.257848221488037,
      0.220018244562639,
      0.185259103230179,
      0.248352071434871,
      0.265024416981334,
      0.248679899551116,
      0.22284077678148,
      0.219969637991996,
      0.246681606656744,
      0.301216725004068,
      0.340770118250037,
      0.341158910540765,
      0.318536829642545,
      0.278489105498759,
      0.255828237273333,
      0.270895109548069,
      0.303916154865239,
      0.326348384538074,
      0.340216240366825,
      0.349910792768086,
      0.359355551783009,
      0.394217168225729,
      0.447503260248575,
      0.482371110795857,
      0.475383789628771,
      0.437635596793841,
      0.403229451017847,
      0.398025690140737,
      0.412010221594004,
      0.443117287401868,
      0.442122263359051,
      0.431757513946826,
      0.442499965548965,
      0.457431878255562,
      0.434779014974289,
      0.369893539197316,
      0.31653202182897,
      0.297511573290032,
      0.320687297129149,
      0.390298681315395,
      0.420257603010474,
      0.37777063671322,
      0.320971342776778,
      0.28930276979972,
      0.307137081186335,
      0.361742939536886,
      0.4176688908602,
      0.453477074396774,
      0.421929538810409,
      0.35615687913625,
      0.341532900831266,
      0.351162662833231,
      0.338437614640963,
      0.319737812937018,
      0.331414764267766,
      0.37951860885822,
      0.431492793317611,
      0.467433849927778,
      0.460406918299504,
      0.396239006129504,
      0.345884821507544,
      0.353549754212236,
      0.378831073021815,
      0.369350450539265,
      0.353981840021509,
      0.381325771592679,
      0.421467302419073,
      0.407341109756698,
      0.35404146122613,
      0.305095829794403,
      0.277861532690425,
      0.274881520018236,
      0.325081465166474,
      0.401824825997005,
      0.438414000469934,
      0.42236260592791,
      0.393262463217148,
      0.367321832439502,
      0.328237857658651,
      0.296090579392874,
      0.293146370625425,
      0.318745413746966,
      0.341157042659317,
      0.331623048337847,
      0.310259268684333,
      0.309571202292672,
      0.341885812043453,
      0.361617913222595,
      0.369232789323476,
      0.397753035533821,
      0.427038390718607,
      0.440222549863114,
      0.472623464087511,
      0.504300678714515,
      0.488533838223444,
      0.453440326232525,
      0.444027674919845,
      0.452556241806379,
      0.450517110865456,
      0.43532514742094,
      0.403961407655918,
      0.372039331207793,
      0.358155042144283,
      0.342056505864169,
      0.29449381758811,
      0.265782304127964,
      0.291549262768457,
      0.385297529473531,
      0.477421627786728,
      0.455466484476282,
      0.407453744797153,
      0.403204283064822,
      0.448148358985813,
      0.482892731576058,
      0.482581222879103,
      0.487822028313221,
      0.502888511681424,
      0.49765045621444,
      0.455828017367387,
      0.401759041846175,
      0.378188628756426,
      0.395299632225025,
      0.431686979339758,
      0.461894538837909,
      0.465949716392328,
      0.448932066900644,
      0.421842092330154,
      0.394842635118053,
      0.389520444110018,
      0.423244407004927,
      0.458631933128114,
      0.436897087381168,
      0.378945447610825,
      0.337177351410166,
      0.331170966761173,
      0.346633679148111,
      0.362604457139154,
      0.373819502673756,
      0.403212836832007,
      0.455458213542113,
      0.483079652448855,
      0.478584020787825,
      0.458417828160676,
      0.430686699724826,
      0.404915623098988,
      0.403597469639391,
      0.406601600374963,
      0.389066463255002,
      0.376805841340633,
      0.396110559830632,
      0.391832045655747,
      0.334865961197354,
      0.308768703268919,
      0.345046769269859,
      0.406133671245869,
      0.427401596614808,
      0.386844940444619,
      0.337506941645268,
      0.335218536932864,
      0.379574145031709,
      0.461078744854718,
      0.528595551724005,
      0.534367845217894,
      0.52140807473406,
      0.50260720346536,
      0.479926481739712,
      0.450664819167589,
      0.415478427610316,
      0.393510371665838,
      0.399753394613422,
      0.437364078356188,
      0.476377649864569,
      0.490366794062438,
      0.4856830050838,
      0.456244899516246,
      0.437950598617116,
      0.440930448879821,
      0.407685594982073,
      0.355098173998067,
      0.340017801869987,
      0.390974299000975,
      0.468143676702639,
      0.500714416574096,
      0.493951630394995,
      0.470769199253142,
      0.450220466488378,
      0.447919704064032,
      0.427730182461569,
      0.371806180996144,
      0.32830726322231,
      0.330148515831079,
      0.387464674663543,
      0.46319924285422,
      0.509547169731268,
      0.500942597067448,
      0.441364121527125,
      0.410788433290941,
      0.445795586658843,
      0.462387055038934,
      0.427113772046052,
      0.367887587439758,
      0.308392955576789,
      0.11733584567917,
      0.183912328186857,
      0.245533050362694,
      0.30661940506652,
      0.345281410875262,
      0.374267417935114,
      0.407724081902095,
      0.440729283431116,
      0.446933652341897,
      0.43403395324276,
      0.414988611562315,
      0.367798095025466,
      0.345104331382682,
      0.371494296771546,
      0.40082868726999,
      0.402868194299243,
      0.417874188678788,
      0.451665412429106,
      0.482464419622323,
      0.496955204998586,
      0.464399460021652,
      0.384260488277616,
      0.297506511782497,
      0.255154686500463,
      0.291451580509079,
      0.415069512110016,
      0.497747181052047,
      0.428290113714232,
      0.310022163265326,
      0.254294613817701,
      0.26677010903979,
      0.311931863109156,
      0.358566116585664,
      0.400224123867357,
      0.435562559225554,
      0.451683127879073,
      0.452446901315549,
      0.480923668654297,
      0.487520493286892,
      0.459989873918126,
      0.435823734313864,
      0.431955194774111,
      0.465439083873325,
      0.509329051525625,
      0.535397065175311,
      0.542182589301141,
      0.503594011667011,
      0.443882988001984,
      0.45691997898231,
      0.513802791615769,
      0.530357270175726,
      0.509773980563873,
      0.507620235815061,
      0.537790862532627,
      0.560338303247296,
      0.56724492606294,
      0.553427009771653,
      0.488169501545565,
      0.430637848719802,
      0.431523836805296,
      0.451909111269524,
      0.436386999811635,
      0.417959211972469,
      0.455852559023547,
      0.51608091087522,
      0.520148279845561,
      0.463773042598884,
      0.399850757416895,
      0.380704420656693,
      0.402917464104741,
      0.439853161134667,
      0.450885079320594,
      0.443599350709246,
      0.444593426913845,
      0.466171608674118,
      0.503989256023314,
      0.526637267565889,
      0.524748002977918,
      0.519406886892021,
      0.539629936748741,
      0.542880436739387,
      0.504481564887704,
      0.471735494768889,
      0.480850986952626,
      0.528999300587148,
      0.52911225845979,
      0.486335733418266,
      0.481079916476639,
      0.493425530605726,
      0.495484829502219,
      0.485562483537944,
      0.472858288909892,
      0.464009676620185,
      0.476694809057997,
      0.512348337062753,
      0.530857285318044,
      0.521785222016829,
      0.521517923694079,
      0.526220379091607,
      0.520584215826277,
      0.511090381130619,
      0.497026778071319,
      0.453610862026368,
      0.417651422818776,
      0.428734550446374,
      0.498128540183772,
      0.538059687516464,
      0.48040190828124,
      0.430953696653917,
      0.434000243436585,
      0.484713314138274,
      0.521510386177283,
      0.520289694466664,
      0.521382433178004,
      0.532428491477086,
      0.525945583102358,
      0.495359833133116,
      0.460563392753602,
      0.439713155708605,
      0.434723678452566,
      0.454098681439983,
      0.499363752975385,
      0.535690673010252,
      0.537213755034973,
      0.510591959499543,
      0.494546435991237,
      0.514364331504205,
      0.551523329636094,
      0.544018809973081,
      0.479219509480044,
      0.423653333084395,
      0.412644935767787,
      0.443095778593161,
      0.484956600598772,
      0.504782265471546,
      0.506831653953475,
      0.523623379213445,
      0.57216274680032,
      0.608739112114497,
      0.604970799257353,
      0.577474415863869,
      0.548049323218196,
      0.525936269084019,
      0.505089966954459,
      0.469255650814011,
      0.431887628926272,
      0.430206383935061,
      0.480341340609865,
      0.503603566395313,
      0.450324196174156,
      0.410147131013389,
      0.435317807926589,
      0.500734137548842,
      0.525794581342333,
      0.471222703645348,
      0.41124642384472,
      0.408550992423903,
      0.454059162346467,
      0.531743231657462,
      0.582287584946257,
      0.575857928716838,
      0.558603823037282,
      0.535464684022821,
      0.524788092197896,
      0.523787668411928,
      0.499797338723559,
      0.468879305015708,
      0.470996236774739,
      0.521247734908137,
      0.562667005653827,
      0.557611044290141,
      0.543613985792175,
      0.523415850420269,
      0.520933226332815,
      0.539556890174745,
      0.515379677962354,
      0.469210833810892,
      0.45791086081685,
      0.497038880065168,
      0.54242039366581,
      0.551570854269297,
      0.550960148877074,
      0.530037728538341,
      0.495164698669404,
      0.50229492522996,
      0.508863357652374,
      0.451889782784473,
      0.384262239553741,
      0.373561312583314,
      0.454390800207328,
      0.555514715106183,
      0.582812459192925,
      0.556649813121347,
      0.521104624137773,
      0.513507905281896,
      0.528036789496017,
      0.527601430970645,
      0.514979127187811,
      0.491360447137132,
      0.438287021796781,
      0.0766836992520489,
      0.169742486372269,
      0.278771098059714,
      0.377170903148277,
      0.407352513277231,
      0.399637625839917,
      0.404050588993501,
      0.415664200336678,
      0.399201006929085,
      0.382793774061235,
      0.426131762518223,
      0.468518283509531,
      0.483556325468742,
      0.481075455413687,
      0.429667592409878,
      0.354392129481314,
      0.343899300277111,
      0.396193092279723,
      0.442164168846363,
      0.432733222949342,
      0.354859927838027,
      0.244835168175732,
      0.157877101080695,
      0.141392023881933,
      0.213355903870576,
      0.356351876224736,
      0.423739343703142,
      0.332677110035979,
      0.213331760226894,
      0.152164855644052,
      0.138470420959,
      0.156901468562512,
      0.214411753140579,
      0.314467077712849,
      0.41960395040697,
      0.467186395107992,
      0.425715363397113,
      0.344774380020305,
      0.269968622817646,
      0.253481494717519,
      0.305862231576624,
      0.406065080305884,
      0.523389209896111,
      0.575567165931082,
      0.551952294422931,
      0.535921394487936,
      0.532412458103055,
      0.516479989610443,
      0.505537631043443,
      0.492819345794069,
      0.470233645476431,
      0.470734510030708,
      0.516749547063613,
      0.565011190534903,
      0.548806902173314,
      0.515582072568079,
      0.516466452322207,
      0.500630990035059,
      0.481643691474586,
      0.492833068664741,
      0.5063542272865,
      0.496107495795008,
      0.492197588996546,
      0.529624063055225,
      0.560999596153245,
      0.535914895078118,
      0.4899694946658,
      0.458984790060246,
      0.434796587173724,
      0.389926747829236,
      0.337900319480063,
      0.286553263364153,
      0.249087152961684,
      0.239321836511774,
      0.271344657480675,
      0.357784998347824,
      0.465697373730504,
      0.520560520772176,
      0.505997811746791,
      0.481165580642728,
      0.456351071695762,
      0.43469722873836,
      0.436705505008803,
      0.46470305478155,
      0.512644803094317,
      0.507560880842007,
      0.437556753529428,
      0.402081925268373,
      0.434784914763305,
      0.485085841004559,
      0.457465640954872,
      0.378532394012978,
      0.346863146747472,
      0.381252436218069,
      0.440035339235487,
      0.469532878374071,
      0.449272917509463,
      0.432025119979102,
      0.444589854680793,
      0.466007707395128,
      0.477300215603356,
      0.466650774194503,
      0.430578722214148,
      0.406513760086026,
      0.414022457738615,
      0.447907010793988,
      0.439519113978461,
      0.397549950068223,
      0.401788620646018,
      0.448975993842242,
      0.509539651454938,
      0.52075194323978,
      0.491822036327106,
      0.471118220932563,
      0.475683607324041,
      0.49051003080004,
      0.497995676208471,
      0.494866440274147,
      0.487838201136591,
      0.47699907894434,
      0.471129231996346,
      0.490976897104086,
      0.502799412105167,
      0.467140622007447,
      0.426552521148897,
      0.429827793424811,
      0.467790900346131,
      0.486631640759159,
      0.468395289922725,
      0.465123260635968,
      0.491741877733969,
      0.519964137267903,
      0.547232900871065,
      0.560185071134335,
      0.548292197696603,
      0.540726099735182,
      0.552514078656824,
      0.563684024948996,
      0.551135111884267,
      0.531974787360842,
      0.517872347923158,
      0.51870076318683,
      0.515519193129698,
      0.467316178450511,
      0.398440535257279,
      0.379423693116127,
      0.428682139316886,
      0.503431919090476,
      0.522727256501482,
      0.497129675253018,
      0.494072345709025,
      0.521786432383673,
      0.55807126218156,
      0.569035170107246,
      0.528562128198073,
      0.467462224820376,
      0.439619060280811,
      0.453694120941036,
      0.49771478230464,
      0.522633164133109,
      0.518483483075533,
      0.527317388037514,
      0.540663691323037,
      0.546582243359603,
      0.544293496259673,
      0.528527456804682,
      0.519833048071355,
      0.535979553126581,
      0.563564504897311,
      0.545040917719089,
      0.500647610861024,
      0.504201537810065,
      0.533677806463605,
      0.545139534302835,
      0.531079017193226,
      0.495468786663127,
      0.481272658894475,
      0.497413300862031,
      0.518343075377481,
      0.511744296869348,
      0.494404532628266,
      0.517688603447383,
      0.5423091769631,
      0.537958240996597,
      0.537489341757931,
      0.514062401354326,
      0.456902479081459,
      0.421721889496251,
      0.440529582201697,
      0.501491359393001,
      0.526790070449989,
      0.498670103232157,
      0.482299162221631,
      0.501316880615842,
      0.50616727981731,
      0.455653064941434,
      0.406475229743755,
      0.417591796328078,
      0.455982816799048,
      0.451370129988819,
      0.102389193329348,
      0.227922181803132,
      0.341155810761331,
      0.372445342006253,
      0.315288990653643,
      0.262812122404364,
      0.250069911070548,
      0.255681043919379,
      0.25849844542445,
      0.277614592391847,
      0.351520501808363,
      0.427453719471261,
      0.446358337934455,
      0.411723178877812,
      0.336096235924003,
      0.257206252496692,
      0.230338308881702,
      0.256798372248821,
      0.285358778129955,
      0.268873778014016,
      0.205491534968814,
      0.137011611605715,
      0.0959020925695299,
      0.103115590879718,
      0.173241226314812,
      0.276995373660805,
      0.304140083714782,
      0.247223384068189,
      0.184609099767379,
      0.141996086200701,
      0.11836290695197,
      0.117390056656168,
      0.14660383778026,
      0.213901631142561,
      0.298036897615706,
      0.330652888335793,
      0.272434603138711,
      0.186438701876246,
      0.125732931177828,
      0.115543598655144,
      0.158763953343241,
      0.241517925547579,
      0.341364366085089,
      0.403795536117889,
      0.413828607962127,
      0.437865945936462,
      0.478015341018407,
      0.464818692650723,
      0.399662212075878,
      0.329963929348605,
      0.29138296231025,
      0.293719500024725,
      0.331781818823411,
      0.381432981265301,
      0.397721898742008,
      0.397945825030639,
      0.408843844819542,
      0.402526347728762,
      0.390572819774371,
      0.393571114998387,
      0.402842155561136,
      0.41554177042946,
      0.437620609735434,
      0.468854130383699,
      0.465018804287082,
      0.411700430219208,
      0.375461547980935,
      0.389343864688287,
      0.40488740990555,
      0.361744085784873,
      0.293567765210957,
      0.241446579955616,
      0.204852768147606,
      0.179980798848722,
      0.177134151343868,
      0.203948180743878,
      0.246715042314382,
      0.278722579921542,
      0.28486817477179,
      0.268794855112866,
      0.237827325829872,
      0.219431556523466,
      0.233133780292003,
      0.272454156517545,
      0.323092867889603,
      0.343320470984373,
      0.328475621211827,
      0.326171484564669,
      0.359813869810958,
      0.394941793345582,
      0.364155621008545,
      0.293575044101203,
      0.26936570368646,
      0.308659817377526,
      0.363297939922967,
      0.370973754090032,
      0.326818155732237,
      0.294911969258016,
      0.293248852735493,
      0.303510231130735,
      0.315666623181421,
      0.313530924471897,
      0.285801989734902,
      0.270651934331659,
      0.291585325513838,
      0.34362873184807,
      0.364068197155463,
      0.34749513862066,
      0.376315623724502,
      0.451511392725891,
      0.518152746802159,
      0.50651392659798,
      0.460231971959433,
      0.432416461972509,
      0.426858529994438,
      0.434835806336863,
      0.439884864060937,
      0.434144242247199,
      0.441565094745332,
      0.474869665865462,
      0.507607493529955,
      0.514001238192035,
      0.480058362078043,
      0.40574647237298,
      0.337972301714016,
      0.316287284396483,
      0.336457314204464,
      0.360025908878548,
      0.383405256658666,
      0.446922854115529,
      0.507175563636271,
      0.508897945655547,
      0.477043017416885,
      0.43998127408724,
      0.407281795105452,
      0.393904243425843,
      0.4055116691817,
      0.419122177474686,
      0.415373630531936,
      0.40941445445577,
      0.399311305172197,
      0.398693115125137,
      0.394713316323746,
      0.357117225698539,
      0.317145662719439,
      0.331657649276051,
      0.398527545574775,
      0.457620119579578,
      0.445866678749768,
      0.415736409057207,
      0.419138348002105,
      0.438130116703268,
      0.453918116260275,
      0.473398904623672,
      0.482191995458495,
      0.441403756724422,
      0.398437443327157,
      0.390476669697582,
      0.415511099822481,
      0.436162677866575,
      0.451794637574059,
      0.491428814620805,
      0.515627439109362,
      0.501132905963318,
      0.464776784668729,
      0.435507377165999,
      0.438971004120156,
      0.475332285008627,
      0.504762501023209,
      0.46707102716288,
      0.414421098523515,
      0.424562766009999,
      0.462050172655393,
      0.456268519664842,
      0.39823551526556,
      0.342596289108334,
      0.341180630449856,
      0.376582546848541,
      0.41054636405373,
      0.415986552319428,
      0.411888449369755,
      0.439862301855896,
      0.474543553840977,
      0.47923329209926,
      0.461757117708361,
      0.418956524216725,
      0.388094670791264,
      0.41349155735129,
      0.473012361562343,
      0.498571893970217,
      0.434314011156041,
      0.373342702473108,
      0.377833650483654,
      0.414798719917043,
      0.418186233847261,
      0.351211728494438,
      0.280030010078398,
      0.270212084162641,
      0.296184316857008,
      0.297144118434386,
      0.0938506108403274,
      0.202502505239061,
      0.296829010195716,
      0.304552541885632,
      0.233269186657372,
      0.180741606274893,
      0.172080925726964,
      0.183409476236062,
      0.19668218756404,
      0.216089538917514,
      0.253679111881323,
      0.293162015560541,
      0.309575287209403,
      0.295106420144346,
      0.24234504436337,
      0.179592531014647,
      0.152825611359586,
      0.171711283532048,
      0.198795716129373,
      0.187764590483696,
      0.142152892385652,
      0.103483107292774,
      0.0944663449833154,
      0.123366386812103,
      0.19556633809302,
      0.270094478089062,
      0.270190434972062,
      0.227878092581947,
      0.19027318693215,
      0.154196191450428,
      0.122372125486276,
      0.110271557947709,
      0.126067687597137,
      0.16526125145211,
      0.212989668504203,
      0.235090285324301,
      0.202733048347619,
      0.144553337659368,
      0.0990123019990079,
      0.0844275116694669,
      0.101669063197446,
      0.148387579539512,
      0.221164293435333,
      0.294206763864347,
      0.339923655570888,
      0.381522062021933,
      0.406594580538586,
      0.372660977741033,
      0.311428795152775,
      0.257423609158416,
      0.222448603074744,
      0.210265882577855,
      0.226565364921965,
      0.26980649134621,
      0.308839823329201,
      0.334649787931501,
      0.350820299516415,
      0.343459182372427,
      0.331660890826142,
      0.333500663387109,
      0.338248207003634,
      0.344452369103677,
      0.361562457169082,
      0.386368710821446,
      0.383614947959789,
      0.336186137379103,
      0.288875546279083,
      0.273767188655263,
      0.274772609958824,
      0.253642691509001,
      0.226872456541963,
      0.21472375250462,
      0.196083162854557,
      0.165970396869148,
      0.148591798700442,
      0.152461932282548,
      0.157110833364098,
      0.150185015863032,
      0.147890309270588,
      0.146456132265885,
      0.134712213802219,
      0.127388421651514,
      0.14313284758349,
      0.182838118598099,
      0.237734611026179,
      0.275768424444447,
      0.28612238125022,
      0.290617112066137,
      0.292999404662751,
      0.286517399379198,
      0.261246982181969,
      0.233017247640444,
      0.233320967169119,
      0.276207115300916,
      0.329736296994826,
      0.34138427680586,
      0.308214496922309,
      0.275703835718809,
      0.256316331343955,
      0.249158579986697,
      0.263375704813765,
      0.271021704196852,
      0.240790607675852,
      0.215211928443881,
      0.236996419313749,
      0.312680826622498,
      0.366396549681944,
      0.353974834529125,
      0.375372434013988,
      0.450207103089368,
      0.51172515707088,
      0.487415697720447,
      0.442514009987702,
      0.429188585059559,
      0.42844721402722,
      0.42490519987334,
      0.417733072011381,
      0.408345538854192,
      0.420697446771274,
      0.474021138853819,
      0.534854110903319,
      0.540441135714049,
      0.483660556819928,
      0.40448735522518,
      0.333313230893669,
      0.288908841442916,
      0.281197369722182,
      0.301861106165033,
      0.338277181352224,
      0.386579510156506,
      0.410671612763606,
      0.391167373204668,
      0.352337944554629,
      0.315178933610368,
      0.287744067130109,
      0.27721785079674,
      0.293470937077674,
      0.325646492826237,
      0.340532646322525,
      0.332207384801646,
      0.319288688775374,
      0.320410790438412,
      0.319238807564803,
      0.294691486652757,
      0.270864199248221,
      0.284174066828958,
      0.334801826817752,
      0.381987641661218,
      0.373009349375588,
      0.340743308691321,
      0.331997622787527,
      0.342032852280317,
      0.356032598895528,
      0.381687678202736,
      0.403819945213589,
      0.377632213723304,
      0.344864920905856,
      0.344307812590145,
      0.377487872391181,
      0.402035601288643,
      0.41272652917559,
      0.447795999884992,
      0.470845510589008,
      0.45583771886349,
      0.408998206326266,
      0.362025282695506,
      0.348995648326182,
      0.377544381899736,
      0.413905808952264,
      0.398924587362737,
      0.361587906415244,
      0.365083960931154,
      0.39398920679522,
      0.399236097872826,
      0.365728882096653,
      0.318995009372195,
      0.300526523048115,
      0.313932404748878,
      0.343434292767997,
      0.367951339645355,
      0.380164768585365,
      0.404826780555148,
      0.427419144443493,
      0.419169034852727,
      0.396854533034172,
      0.367249366535481,
      0.338336056148553,
      0.338950114916113,
      0.369301296390684,
      0.396557847977014,
      0.36767072447742,
      0.325506689841575,
      0.322686738783038,
      0.33685205964117,
      0.327405083982062,
      0.274671201642174,
      0.219438381642914,
      0.203152703747037,
      0.213546420056602,
      0.211402239077985,
      0.0679413269898902,
      0.142691336888615,
      0.222034283932749,
      0.250157472532956,
      0.207389090986824,
      0.159574960221654,
      0.148832742551247,
      0.167010890657419,
      0.184312263104938,
      0.194679077767742,
      0.209113777597927,
      0.222527391521013,
      0.223123191126508,
      0.215517990386879,
      0.188244813368106,
      0.147768532087117,
      0.12513517664471,
      0.13451339729523,
      0.155926178006733,
      0.157085975118352,
      0.140421181146931,
      0.139385543622567,
      0.176274718979452,
      0.248690926093959,
      0.324735478295847,
      0.335151723631527,
      0.279431809334263,
      0.249098255462386,
      0.236477284307656,
      0.205415063085136,
      0.161432813527233,
      0.128848466604653,
      0.128207772332292,
      0.154640321394479,
      0.188330549891229,
      0.203089428054153,
      0.185425036383648,
      0.153884798239507,
      0.123843467662879,
      0.105275496134279,
      0.104872791418487,
      0.129656237137091,
      0.187991432568241,
      0.266771226516127,
      0.326309183728428,
      0.364448719115839,
      0.36224925486277,
      0.310955430243675,
      0.260182465139215,
      0.223430247364491,
      0.195678013272765,
      0.181957200624458,
      0.193964863947171,
      0.235836682472726,
      0.282209815896228,
      0.324538597790665,
      0.352561378835168,
      0.345581867691955,
      0.324555170639402,
      0.315062866674242,
      0.307610632471833,
      0.30535441451749,
      0.325240227213936,
      0.358048829128395,
      0.364064167220422,
      0.316361711599581,
      0.257227963557352,
      0.213042476102723,
      0.18663521540614,
      0.172324710519051,
      0.175709101288694,
      0.189982035665056,
      0.183911714157548,
      0.159221649925501,
      0.141645029043156,
      0.139842980181805,
      0.137703696050016,
      0.124221920909229,
      0.113784778421106,
      0.110386796954415,
      0.10885034999739,
      0.110590906299978,
      0.127175839807749,
      0.167303091543904,
      0.228612200977884,
      0.269312509839633,
      0.27228724820054,
      0.277051418922901,
      0.282891116741954,
      0.269934369115967,
      0.241834119797681,
      0.223372020631385,
      0.224372637778431,
      0.253461088822401,
      0.302413247992775,
      0.334390921650159,
      0.318659050418701,
      0.285031883052311,
      0.259243328456573,
      0.247274871452558,
      0.256922669748276,
      0.262291936204611,
      0.23127993288947,
      0.201233098099769,
      0.218273908468753,
      0.29815778682168,
      0.363570161063883,
      0.345572329694691,
      0.341770116649441,
      0.386311901030164,
      0.440663145187506,
      0.443411402320035,
      0.420341487745803,
      0.412792233496612,
      0.417844916338666,
      0.418178155601109,
      0.40347365054921,
      0.382343487310341,
      0.382276656173273,
      0.415566505990016,
      0.459387517269624,
      0.469460038900355,
      0.434229045069381,
      0.376031182133857,
      0.320134188980574,
      0.281683892729015,
      0.271623016482482,
      0.292075076564891,
      0.327851000425673,
      0.353084440650456,
      0.34544424118221,
      0.316635417024555,
      0.286697271947558,
      0.259902557478521,
      0.242560792459251,
      0.245923140971767,
      0.274131770041967,
      0.310766136172807,
      0.32198516724473,
      0.311034234748249,
      0.300926994705436,
      0.298015574360585,
      0.29058532970052,
      0.273418754074023,
      0.256551002188356,
      0.256999101376331,
      0.288565078517911,
      0.334612268090929,
      0.338903014480173,
      0.311158239569093,
      0.304454482737664,
      0.320040084746224,
      0.336708252811966,
      0.349776559756386,
      0.349576046520851,
      0.317748668042616,
      0.292383563029309,
      0.302083775584291,
      0.349332327410997,
      0.38932293261846,
      0.397172764398766,
      0.416692924472323,
      0.43356741512098,
      0.421436226505698,
      0.377499455889765,
      0.335911085246138,
      0.328622065942125,
      0.354828601090586,
      0.380126695390874,
      0.364866638870469,
      0.34039412938449,
      0.343166876550403,
      0.360884932413522,
      0.370859654404641,
      0.357448059839554,
      0.317682426402258,
      0.289675653636844,
      0.294591934184039,
      0.327189320434674,
      0.362663408568847,
      0.380221104078376,
      0.402649360329702,
      0.421182019610834,
      0.407203740035499,
      0.372848343205783,
      0.331077463120418,
      0.290768946268082,
      0.274859587512241,
      0.292827705870906,
      0.329827187086,
      0.333014378854217,
      0.30582466996642,
      0.295744794852532,
      0.293098454811566,
      0.275182425295396,
      0.237174407975727,
      0.202444707482357,
      0.189575677942158,
      0.19124552362,
      0.185266764121428,
      0.0611513680940211,
      0.118985435857668,
      0.176250494141078,
      0.202117829812175,
      0.17867068313046,
      0.147293770553053,
      0.15184003218234,
      0.194026258668744,
      0.230074526150748,
      0.234580546893329,
      0.230988644142055,
      0.222893206754603,
      0.20145955734083,
      0.184948713458736,
      0.172493155514181,
      0.154912752225956,
      0.143918431311292,
      0.151024100498112,
      0.169253914805638,
      0.19124871239047,
      0.221684055145094,
      0.27612942582431,
      0.354395451812406,
      0.434919357850987,
      0.468239449301999,
      0.39797797475977,
      0.298045125784671,
      0.265760440522408,
      0.263296211624407,
      0.245760591231652,
      0.213818915029642,
      0.182888867700366,
      0.168156495823424,
      0.171669426234649,
      0.189094197859598,
      0.203549012006149,
      0.198815254209112,
      0.186534844267006,
      0.173601760809602,
      0.153881993394188,
      0.136599873292759,
      0.138342777099372,
      0.182559664066153,
      0.267167647004006,
      0.329601982896841,
      0.35539261325877,
      0.334814705527181,
      0.281176544639012,
      0.243694602575832,
      0.222997749975132,
      0.205337447398501,
      0.194911237539976,
      0.209379135897876,
      0.258043678734688,
      0.314669739669715,
      0.367730700067274,
      0.397665521609836,
      0.370742807190771,
      0.320499295493792,
      0.292800431894424,
      0.284673149099611,
      0.285619864459067,
      0.306851802831385,
      0.344425066789798,
      0.357099833328382,
      0.308399629645066,
      0.242649527538982,
      0.192855285623508,
      0.167253241848232,
      0.169583197212829,
      0.193607756995755,
      0.212580026469971,
      0.199796268135544,
      0.176330889239209,
      0.169451371991109,
      0.176872806352399,
      0.177002404421282,
      0.161675437966806,
      0.149376212322905,
      0.150697844592345,
      0.155696746006405,
      0.151261012465064,
      0.148783096177523,
      0.169962564634845,
      0.224609164952577,
      0.263611116696526,
      0.266169709688856,
      0.283035577464723,
      0.308847677912822,
      0.30464230065594,
      0.279809439751098,
      0.267679123351056,
      0.262757962586282,
      0.26833409825384,
      0.301760464474949,
      0.341890431367387,
      0.333225473744352,
      0.303672522041698,
      0.28198102901584,
      0.261238570667287,
      0.240422751169857,
      0.228541981277346,
      0.211219967723844,
      0.19446047099191,
      0.209399353136768,
      0.279064725228387,
      0.34675129889879,
      0.331213044900189,
      0.311282048832607,
      0.331677775017416,
      0.380636914343182,
      0.398605603769115,
      0.383021190375814,
      0.378924992632871,
      0.393368377577898,
      0.402607247659103,
      0.386994557511434,
      0.35834534621822,
      0.343640298691824,
      0.353314670656008,
      0.378429940384919,
      0.395298197045521,
      0.382686341647847,
      0.339572813092183,
      0.298123183468329,
      0.277884938564239,
      0.284593990252279,
      0.3128754599583,
      0.344951273193043,
      0.355431064607558,
      0.331229698397037,
      0.29567885803052,
      0.269601065989887,
      0.253711067024522,
      0.249220999087734,
      0.265203082454542,
      0.302077000226165,
      0.338531223478558,
      0.340479482840231,
      0.327702744603651,
      0.324315293869744,
      0.322180856606666,
      0.308765445057428,
      0.295983798054576,
      0.287737151947042,
      0.280952341661937,
      0.291851972953201,
      0.322898687577177,
      0.32953977423189,
      0.30294588458248,
      0.293405266765591,
      0.308224614717317,
      0.330036095529678,
      0.344502746393363,
      0.335186837442508,
      0.294959199939562,
      0.268479880746283,
      0.283827174769232,
      0.344732512804371,
      0.402153997270485,
      0.408464358004511,
      0.414469890538583,
      0.422649797225069,
      0.409753153395048,
      0.372883256572092,
      0.341287328689582,
      0.339794124858703,
      0.363560619810197,
      0.387154128431691,
      0.3814853692841,
      0.367001770518337,
      0.364619304306664,
      0.367012550569696,
      0.368991050225248,
      0.355948975800041,
      0.313350976448066,
      0.279586720217268,
      0.286647055365095,
      0.338031534071357,
      0.395338137159588,
      0.412689965203945,
      0.418131568982231,
      0.422176628189504,
      0.40130130566664,
      0.359494181292674,
      0.313557470929294,
      0.274190728343695,
      0.257714161010826,
      0.27243010538494,
      0.30971192201425,
      0.330333099711736,
      0.323002669753495,
      0.312983499068798,
      0.29504028418378,
      0.27091228174462,
      0.249376047506668,
      0.229781514297334,
      0.212652472564353,
      0.197358133248888,
      0.178826205759582,
      0.0683629855105717,
      0.125233499852554,
      0.166797742941568,
      0.179305603379359,
      0.161586716493461,
      0.151242117940658,
      0.17719776988698,
      0.23523250027864,
      0.27514458012031,
      0.272782449854508,
      0.258918620456932,
      0.237590800009516,
      0.210502093402383,
      0.196038302958487,
      0.19342778508991,
      0.191918099670484,
      0.198982043882337,
      0.217094037303009,
      0.234326330766456,
      0.259336898218889,
      0.308593913790021,
      0.377551281499455,
      0.427767771967037,
      0.442356798297403,
      0.426239851028066,
      0.38388148096692,
      0.33136678615291,
      0.279826918597248,
      0.24681030286648,
      0.228181284063604,
      0.22187735452559,
      0.222649204143038,
      0.222286320891103,
      0.218618956937306,
      0.221653218324226,
      0.233317991676482,
      0.237494622468648,
      0.23474068773175,
      0.223033543279905,
      0.200361846115983,
      0.178669123207834,
      0.172124548993402,
      0.202234781355361,
      0.269708131660223,
      0.324429555080674,
      0.351720390289026,
      0.337607515914009,
      0.289874529939557,
      0.262063976247797,
      0.255094199370898,
      0.246511798731584,
      0.238203999286489,
      0.257252783207156,
      0.316339138135588,
      0.377799152435514,
      0.421553306082772,
      0.43735615915236,
      0.395187498212428,
      0.33159479351035,
      0.30024925140202,
      0.299752689883811,
      0.305557477550164,
      0.323090529175195,
      0.361713030321726,
      0.380027200125218,
      0.330509401185003,
      0.257930526925385,
      0.204484514898122,
      0.181807596287613,
      0.1863970973312,
      0.209094587468642,
      0.227238054148655,
      0.222191389718401,
      0.20663996375712,
      0.204688249250169,
      0.219536566925168,
      0.232309922119757,
      0.227753683522792,
      0.224701241056772,
      0.244670204235921,
      0.26233530322737,
      0.248845448919237,
      0.220979239236825,
      0.214109151976151,
      0.250932398761826,
      0.286160061016812,
      0.288133034144555,
      0.296400145928396,
      0.314203017018222,
      0.315994574083197,
      0.317622095796201,
      0.328850921285934,
      0.328261343774009,
      0.319543153954305,
      0.329117099326831,
      0.349395147989036,
      0.337689204179114,
      0.316932408509829,
      0.30275457413382,
      0.284824740149788,
      0.258828623360739,
      0.243636824656302,
      0.232276166381554,
      0.223454844840822,
      0.240476897224783,
      0.304060138842247,
      0.360425923726506,
      0.333610940932278,
      0.306516099149728,
      0.325584564112128,
      0.380162461122236,
      0.40324843625369,
      0.393432750791838,
      0.39784413097191,
      0.409404937663181,
      0.406289231059029,
      0.389138452522111,
      0.367576808198778,
      0.353186365536792,
      0.357913957543444,
      0.384133421095851,
      0.408433897317392,
      0.400192531291962,
      0.359074494828142,
      0.317180321981315,
      0.294516083261917,
      0.300510837628152,
      0.337397488868928,
      0.379499368642993,
      0.381982917258347,
      0.339743812016359,
      0.298140210007295,
      0.287039081045632,
      0.295143619253643,
      0.303080227893725,
      0.31417584911142,
      0.344055930950036,
      0.378850238380304,
      0.380938117711696,
      0.375986180701866,
      0.377999876995633,
      0.367915833769823,
      0.343989986614745,
      0.332518073429036,
      0.327593504966278,
      0.311561048536471,
      0.306167872337689,
      0.332209406012959,
      0.34308383916905,
      0.311800586161026,
      0.298351609663127,
      0.321878376167151,
      0.357358725136319,
      0.373168938622472,
      0.3517464807407,
      0.304019803521874,
      0.279314541122184,
      0.302132490659465,
      0.373125964916202,
      0.437912520497813,
      0.441810999719707,
      0.439230049852824,
      0.440267609805942,
      0.428063674441703,
      0.402860921464686,
      0.377426442142109,
      0.36884564006279,
      0.382413663941916,
      0.40931966447701,
      0.415600682319576,
      0.401396558979659,
      0.393800760523375,
      0.393485819952264,
      0.394109611327154,
      0.373096980322469,
      0.319147224102566,
      0.276891037052379,
      0.284100663190299,
      0.349549659837688,
      0.427545498954326,
      0.450104045257309,
      0.440310243737087,
      0.430207430179254,
      0.411114443648383,
      0.381047177554062,
      0.345155875829828,
      0.302090595983595,
      0.270951265625302,
      0.271310803792878,
      0.311095484422057,
      0.360458927137214,
      0.382626713859001,
      0.379266121770951,
      0.349257906775783,
      0.317296413861775,
      0.30527634491905,
      0.294360539717894,
      0.272508031749792,
      0.242369797445566,
      0.209696391200814,
      0.0691012878155785,
      0.130936430941311,
      0.175073470178633,
      0.192481376680744,
      0.183253930692861,
      0.178350134894158,
      0.196754538081136,
      0.236986925388397,
      0.26662622426227,
      0.27072871030822,
      0.269625858610618,
      0.260362025429716,
      0.251617746697794,
      0.249398565245189,
      0.239982985352119,
      0.231599936799868,
      0.256107115084393,
      0.301316351774453,
      0.324150980410478,
      0.326505136430555,
      0.337777244885238,
      0.343851135921479,
      0.317595353893462,
      0.286330881357999,
      0.302349144971291,
      0.365740737427571,
      0.380093263041788,
      0.317220617521399,
      0.244596757785814,
      0.204638205357637,
      0.203980895884948,
      0.223848789247531,
      0.240155822224114,
      0.248242706715389,
      0.262452203299872,
      0.278136055153541,
      0.278404941522617,
      0.275703756028044,
      0.250258284461647,
      0.219341853738295,
      0.20625306021599,
      0.217379307657413,
      0.259860825019917,
      0.321809522795662,
      0.377560384861008,
      0.405320749186744,
      0.384454366628669,
      0.330078110721729,
      0.312936412815993,
      0.317489325763812,
      0.303594596909869,
      0.282780362205761,
      0.297754180098727,
      0.35597298677929,
      0.407128733198403,
      0.433406046690685,
      0.438467610518148,
      0.399058115695495,
      0.346047955728953,
      0.326556095835686,
      0.331889202396787,
      0.333892652707671,
      0.342047569899218,
      0.381981715083521,
      0.41143832218429,
      0.367827533661977,
      0.292305531813966,
      0.233584605238177,
      0.206847039089231,
      0.205215882587384,
      0.22859289091236,
      0.257924717886643,
      0.265528351271157,
      0.249024272927056,
      0.237832438636361,
      0.252273533250936,
      0.278880960935767,
      0.285515394112305,
      0.280377834119397,
      0.297607758245099,
      0.313513083125203,
      0.299005341992901,
      0.272072624441607,
      0.264986917666185,
      0.300550723336337,
      0.342428348817156,
      0.348124829707233,
      0.347590779000603,
      0.351414822087685,
      0.351460642384517,
      0.36256570214184,
      0.377432016174546,
      0.37574424673885,
      0.362268612093294,
      0.357174640840144,
      0.351986294533428,
      0.33463701262831,
      0.324537984326097,
      0.327895139605993,
      0.335837998763764,
      0.338165594202035,
      0.329097673557786,
      0.299034489330032,
      0.268131093347336,
      0.266901599317433,
      0.319232749067504,
      0.378899700286251,
      0.362783976967872,
      0.338506121139611,
      0.356207415981487,
      0.408788538718657,
      0.436046855638378,
      0.433823092767172,
      0.444074185652199,
      0.454242621606607,
      0.445459124638365,
      0.431732667293544,
      0.414332369431978,
      0.390423462897021,
      0.375872457570446,
      0.394556770509345,
      0.430008562372961,
      0.434099720296512,
      0.407048562068891,
      0.374854030765156,
      0.347244645276388,
      0.335298473989338,
      0.355893612924922,
      0.392927432693195,
      0.392943300154637,
      0.347751243262235,
      0.305780500009423,
      0.301157736270349,
      0.323785181944003,
      0.345822776965322,
      0.360101145558396,
      0.390057401271214,
      0.432639881233853,
      0.448914167397893,
      0.445797709096269,
      0.438711259217746,
      0.424728350107391,
      0.408563499619222,
      0.394248852727317,
      0.36483728191734,
      0.326688397483998,
      0.31374218001925,
      0.347971067028193,
      0.363940646344823,
      0.331851178627597,
      0.315470209532087,
      0.336411093814996,
      0.367475775273897,
      0.379213834623945,
      0.362450246349736,
      0.330691978650282,
      0.317371122509566,
      0.338324286634981,
      0.399258938394216,
      0.459656314381679,
      0.47275649412289,
      0.471586539885864,
      0.47157188889261,
      0.472257443900634,
      0.460656470064765,
      0.425657432485259,
      0.393850377073181,
      0.398109548536276,
      0.437134721931671,
      0.454779572387394,
      0.442344017076354,
      0.436864644983448,
      0.432964175888563,
      0.432815073680683,
      0.425323682138017,
      0.380753603462801,
      0.333935938002492,
      0.336208725291945,
      0.397556465536711,
      0.469554983359627,
      0.489022547461984,
      0.475745494926559,
      0.455032709350816,
      0.42982730697658,
      0.413371264363469,
      0.38492444063952,
      0.331667015772797,
      0.288274317008686,
      0.287247777018815,
      0.34887182272165,
      0.429031125119061,
      0.459953387363401,
      0.447048919969478,
      0.411545003575731,
      0.392417758648045,
      0.392588353652909,
      0.378886604948493,
      0.352035256810941,
      0.322061384349431,
      0.287475776067993,
      0.0662168427744514,
      0.13262814477043,
      0.18319098109061,
      0.205051990051364,
      0.203529809741821,
      0.201985817355768,
      0.209017471349233,
      0.227094240582244,
      0.248875356650075,
      0.26844900374614,
      0.292814136898412,
      0.304655716022024,
      0.300840508138934,
      0.290552906988823,
      0.262264629159887,
      0.233990006251466,
      0.251581670715685,
      0.307319403081053,
      0.350638489267381,
      0.349611781065959,
      0.309185324043077,
      0.244380227535022,
      0.180404070418318,
      0.160081612530626,
      0.217470851324976,
      0.319606897732501,
      0.353022042835132,
      0.292749171188262,
      0.211756287831646,
      0.171609971675635,
      0.177674969817207,
      0.200079504917135,
      0.212896850175469,
      0.22301320860183,
      0.253814114647279,
      0.294564828368478,
      0.310395495750863,
      0.301721086656583,
      0.25741646886106,
      0.219129203166798,
      0.21857449823129,
      0.254795740314917,
      0.320625388154539,
      0.38556138128846,
      0.430688937634567,
      0.454331617954624,
      0.431881803544318,
      0.373958679913667,
      0.350603589696145,
      0.346058621034832,
      0.328371081850812,
      0.313117981841795,
      0.334945484060349,
      0.383444753618011,
      0.407826449595273,
      0.413890451506045,
      0.417430388427261,
      0.388894867033804,
      0.351767715940334,
      0.345978335025168,
      0.358207284538561,
      0.359423236778094,
      0.360587357933003,
      0.39593139318028,
      0.42656499244607,
      0.386276999578756,
      0.317266527899346,
      0.272329893643889,
      0.251287675157708,
      0.231526406861921,
      0.228940482158485,
      0.239402393308321,
      0.240892676429066,
      0.230642548790448,
      0.227368101365302,
      0.244518051641187,
      0.274077050617143,
      0.297846390870072,
      0.303130364390626,
      0.305209138695672,
      0.293061787795169,
      0.263252164537663,
      0.24302443648711,
      0.257699000696728,
      0.317250205991302,
      0.365833819633662,
      0.363844062227219,
      0.364394657130749,
      0.380398742448395,
      0.385991899705947,
      0.364027065567383,
      0.337182337814009,
      0.326240915340013,
      0.329298291610717,
      0.342762314429501,
      0.346205860428302,
      0.335219312270376,
      0.328449733646081,
      0.331583908815675,
      0.347269702793915,
      0.375599477413354,
      0.377504650292281,
      0.324892036968535,
      0.275041558455153,
      0.271277285777963,
      0.312114012215238,
      0.336280175395207,
      0.318021934949894,
      0.326183118876666,
      0.377189785530998,
      0.440269575254343,
      0.463618116476592,
      0.458517617157993,
      0.458679839996039,
      0.468106666264168,
      0.472758728242069,
      0.470319893903913,
      0.452555670997995,
      0.420531240588725,
      0.391086817128195,
      0.393234161214401,
      0.435910598121862,
      0.452966565349322,
      0.421249930203144,
      0.383987693440526,
      0.366157999843236,
      0.365150034840979,
      0.374666809438108,
      0.393008994411914,
      0.399215422658665,
      0.376946225381674,
      0.348504176706629,
      0.342811603763055,
      0.358539737742767,
      0.38110776522803,
      0.399298985839232,
      0.42326141520645,
      0.456011186520542,
      0.477529996627098,
      0.471289255240293,
      0.453279027011624,
      0.45017558756254,
      0.451631982367117,
      0.423576828905641,
      0.363819128288984,
      0.31567660168208,
      0.306375444557442,
      0.339967821678607,
      0.357835314873987,
      0.339228487860718,
      0.33257160519696,
      0.351029287357085,
      0.372245976864721,
      0.382545135484065,
      0.375595780589312,
      0.346836755322559,
      0.326265215543222,
      0.339148407368257,
      0.396870663506433,
      0.453974271379226,
      0.462464404115284,
      0.462768528984344,
      0.469052172242415,
      0.470424896330676,
      0.457114276812796,
      0.427817777532435,
      0.402598527840654,
      0.411036040778538,
      0.451082154256252,
      0.467934260170328,
      0.454690448461591,
      0.45766437801776,
      0.468895416607205,
      0.475239336180783,
      0.47421759946658,
      0.441748290173672,
      0.410433100890074,
      0.415462602500327,
      0.451469229204351,
      0.480498377177162,
      0.485088233459712,
      0.498537493017268,
      0.50071575008523,
      0.473094371802711,
      0.449720259372515,
      0.409641926235349,
      0.346195811619584,
      0.305820447367099,
      0.320991865601524,
      0.395666066201067,
      0.460028749350033,
      0.462785987376126,
      0.447678150203884,
      0.435727570705236,
      0.420541511381953,
      0.386821693885974,
      0.355783587903104,
      0.363464981099449,
      0.387043429290801,
      0.37254213876729,
      0.065682883669532,
      0.133909710033157,
      0.192028165406814,
      0.223387061358572,
      0.225557682597181,
      0.217346894775961,
      0.209027609777158,
      0.209537916477632,
      0.225528417040325,
      0.25394857916305,
      0.296102234849834,
      0.321002056252899,
      0.312554170624353,
      0.289440567980786,
      0.252817041801621,
      0.209337897692011,
      0.193857745022584,
      0.223469927905162,
      0.273410666355039,
      0.288477274563614,
      0.238259107502484,
      0.161709193998933,
      0.108140673529678,
      0.105481229491103,
      0.170851909603605,
      0.267528480708587,
      0.293413278390339,
      0.235687918254523,
      0.166187447814553,
      0.126338341056273,
      0.116188899269115,
      0.122326721673136,
      0.135124408994646,
      0.157799780333741,
      0.198011631105592,
      0.243562591093123,
      0.259937476104234,
      0.237885741760769,
      0.185119572239743,
      0.147743353774642,
      0.15595077780862,
      0.206672888082158,
      0.280933840048453,
      0.334489138775629,
      0.358725283463045,
      0.396786165203023,
      0.422375364814811,
      0.391878465097738,
      0.348583342750897,
      0.317969656692202,
      0.305018017162455,
      0.311121698897218,
      0.344027581495835,
      0.386497617218761,
      0.396111391277537,
      0.383321745879972,
      0.375310537732382,
      0.357905261356508,
      0.343383582935807,
      0.353290813858596,
      0.370315441724485,
      0.373475524635558,
      0.373339883751911,
      0.398688983026068,
      0.411744458806341,
      0.370761040035554,
      0.321539608713479,
      0.295666255861207,
      0.271197137615399,
      0.227696050490296,
      0.19785076218149,
      0.189898577524304,
      0.186773158927921,
      0.183945063003661,
      0.188193151115605,
      0.2039706160819,
      0.231424233228321,
      0.280095971332048,
      0.318474576712476,
      0.310830984321901,
      0.257998305801256,
      0.209534642401649,
      0.205958950762943,
      0.24339192592123,
      0.297178146165737,
      0.310546848789761,
      0.293686253078496,
      0.298734644072845,
      0.324687803180019,
      0.341884528883752,
      0.317005613365627,
      0.277342015706325,
      0.272095356527104,
      0.301789621372078,
      0.334592137686007,
      0.340876144771099,
      0.321467843759113,
      0.296480081377203,
      0.275803248998592,
      0.27865218298866,
      0.312438605910765,
      0.322657396801063,
      0.274434411324587,
      0.236395925569924,
      0.248673956393046,
      0.293473740658152,
      0.299744028195919,
      0.277967209513271,
      0.307353053444313,
      0.383108834404966,
      0.456965242279045,
      0.468962157527979,
      0.445460036799804,
      0.426929223576456,
      0.430300184644809,
      0.438591248725457,
      0.42840955056984,
      0.401328092165383,
      0.38206647117102,
      0.38509076654501,
      0.404552062429938,
      0.439710178342214,
      0.446119149894778,
      0.399013920668299,
      0.343164729855061,
      0.321910291216077,
      0.335025236252954,
      0.351098784370226,
      0.359898866749784,
      0.380607233046431,
      0.402172484657063,
      0.405367130645579,
      0.401659704015352,
      0.395820878063221,
      0.386672646355043,
      0.379228048531435,
      0.38863964990702,
      0.41464260642945,
      0.431545563343949,
      0.417468379816253,
      0.393564510491486,
      0.398556831986042,
      0.40971797640972,
      0.380408186283195,
      0.328201713453339,
      0.304154859701347,
      0.316744257942461,
      0.344269273385126,
      0.342582855149242,
      0.317751362225162,
      0.310556465978831,
      0.326805819827331,
      0.354139777776411,
      0.393433836340544,
      0.410587926094743,
      0.366220466287159,
      0.319233468876922,
      0.317473467015505,
      0.367244727061566,
      0.416876384889999,
      0.432036479313385,
      0.457681654758878,
      0.47847049321186,
      0.46185379612419,
      0.421180582486927,
      0.390358503318222,
      0.384988543269258,
      0.409989085324259,
      0.445999879052915,
      0.437776782021396,
      0.401999767684915,
      0.403620890173929,
      0.431425828832982,
      0.441700370283825,
      0.420514869058414,
      0.382226945566321,
      0.375537996180694,
      0.401387762608529,
      0.427257656993688,
      0.42137806216922,
      0.413161996239654,
      0.453287064362408,
      0.49664540439748,
      0.491524338010261,
      0.455904276421489,
      0.393866537608145,
      0.33258078683387,
      0.322092273243394,
      0.364596720877383,
      0.416202629228505,
      0.408351557745536,
      0.3724631640382,
      0.366839411515881,
      0.380627381569789,
      0.374673375560767,
      0.321926723748028,
      0.275190408508441,
      0.294762128596245,
      0.345790324223086,
      0.349079765568092,
      0.0678052887022813,
      0.134439301095818,
      0.198492285860988,
      0.239200510084799,
      0.232309054797679,
      0.205762585342533,
      0.190421340445575,
      0.193715821587564,
      0.202129647820971,
      0.214109456631239,
      0.248472172731117,
      0.273553428649842,
      0.268740863562267,
      0.25085118681031,
      0.223497907424969,
      0.183267252997078,
      0.152955461925332,
      0.15610258320259,
      0.183728164109136,
      0.192726910161495,
      0.153976012146924,
      0.106042177563797,
      0.0847765323590504,
      0.101641721146463,
      0.165372253898126,
      0.24687260023996,
      0.26990063717018,
      0.221595408119293,
      0.156626842797638,
      0.110959968880384,
      0.0882872805804657,
      0.0846409295595039,
      0.0969676078427552,
      0.124634345848652,
      0.166536816955484,
      0.207693199832517,
      0.209878474611175,
      0.166518941643779,
      0.113541841218919,
      0.0923567702895436,
      0.108593500904753,
      0.152791261409075,
      0.214183984874634,
      0.268446068720483,
      0.302042468074767,
      0.344854701544646,
      0.384528080009254,
      0.362245372038564,
      0.30200286088144,
      0.251229844295063,
      0.237923864041727,
      0.259523612002325,
      0.30392838135135,
      0.350359840287418,
      0.365251407743499,
      0.356115701400584,
      0.338362739723941,
      0.308423046189104,
      0.293992286955329,
      0.311801136951745,
      0.335232009567879,
      0.338486184598321,
      0.339138251963117,
      0.363724047272656,
      0.374853744380828,
      0.333875955502582,
      0.282896710462703,
      0.255440535206118,
      0.238706929664846,
      0.208985074204836,
      0.178779557891089,
      0.155025918399687,
      0.138131167734787,
      0.135111564675311,
      0.148584316116502,
      0.177215570168404,
      0.205921187208488,
      0.226527271028024,
      0.231730212351988,
      0.211700743707019,
      0.174450827752467,
      0.156043954162826,
      0.17541066166866,
      0.216143959066312,
      0.259085645997703,
      0.275888443695804,
      0.269197420904119,
      0.268110184513766,
      0.281682286343186,
      0.299971407932914,
      0.289741433561038,
      0.264000208057243,
      0.263010995184651,
      0.290989457885512,
      0.319721326049257,
      0.323882603473369,
      0.298920731954822,
      0.262297247611426,
      0.229841911265564,
      0.220959492316779,
      0.239412268893425,
      0.24823554375132,
      0.22372311416987,
      0.210777295024818,
      0.236100265068205,
      0.287017412014424,
      0.2952374632249,
      0.269325691945833,
      0.299993587134455,
      0.383560442725216,
      0.46124486473332,
      0.462159707058671,
      0.432955312811584,
      0.417863881989091,
      0.411088032372177,
      0.399385286955572,
      0.376195845537146,
      0.35138502595395,
      0.352846438935509,
      0.392437755706813,
      0.436300189722122,
      0.448871747785504,
      0.422142370213341,
      0.364453525103173,
      0.303875869771335,
      0.276665553965815,
      0.289153108286909,
      0.31362607945439,
      0.32558073246444,
      0.343901915584832,
      0.364901472408704,
      0.370490925979383,
      0.367416931815024,
      0.358195569928582,
      0.340704135236991,
      0.323615513103918,
      0.327495672821613,
      0.354658788586189,
      0.37532620638539,
      0.362953138421306,
      0.334411222465027,
      0.329487772323055,
      0.336010947440812,
      0.318077149105695,
      0.292665443339307,
      0.293426994524077,
      0.318458656466448,
      0.335348909539052,
      0.312478458029732,
      0.283658679840479,
      0.281399732203497,
      0.298327331381439,
      0.323092105050103,
      0.375427065380476,
      0.412371018859902,
      0.367904621860238,
      0.312763842529384,
      0.30337756033488,
      0.342783037526871,
      0.381611095002889,
      0.398938656723104,
      0.430625382243345,
      0.452055578104794,
      0.433376968173872,
      0.390414966756923,
      0.357390210536912,
      0.352997934055383,
      0.381022777258909,
      0.420752034620207,
      0.411302750857688,
      0.364731861836332,
      0.351219623655656,
      0.367873327406049,
      0.372996355513323,
      0.342911901872726,
      0.30325871714634,
      0.304529956153148,
      0.338851623837957,
      0.372164911018339,
      0.3821292392328,
      0.389347913611613,
      0.41723292415363,
      0.433642399697439,
      0.423639690952984,
      0.399196623549164,
      0.348317094845986,
      0.301976257895469,
      0.310026538983657,
      0.360521562948061,
      0.39665174028673,
      0.36058214796003,
      0.306872130510257,
      0.289096953835705,
      0.295638217374737,
      0.298957352602322,
      0.264310383354917,
      0.218573551933061,
      0.210711518497689,
      0.230841587848308,
      0.231513135856711,
      0.0638054612483693,
      0.129250719893369,
      0.193971428333111,
      0.22333865509481,
      0.195925823695902,
      0.158908649868223,
      0.150386623687721,
      0.168838704858233,
      0.184159315536957,
      0.19279191000467,
      0.215880668662375,
      0.230334135373799,
      0.216861580359406,
      0.197203954235615,
      0.190497904996201,
      0.177045182771862,
      0.153237549790136,
      0.138858127310962,
      0.144927507306287,
      0.151275206891773,
      0.128623582171107,
      0.108036771981552,
      0.12136770329756,
      0.17292755448673,
      0.243350206143634,
      0.285818778601587,
      0.275888393846241,
      0.226699424494584,
      0.161969485037707,
      0.112607963913771,
      0.084974726552621,
      0.0754964684466176,
      0.0827626584521766,
      0.108914122314527,
      0.152570224086712,
      0.195577241535646,
      0.197665897903363,
      0.156473721347281,
      0.108697847933523,
      0.0890566032546813,
      0.0981236035246133,
      0.127528691811127,
      0.176363452343402,
      0.235954830412555,
      0.283890919839399,
      0.318858619324158,
      0.329499529157938,
      0.291354743848424,
      0.236915960488458,
      0.197082332446793,
      0.184449366639364,
      0.199654863379155,
      0.235007899923652,
      0.282483436249487,
      0.315993377582047,
      0.329108155064878,
      0.317198713082255,
      0.2823902322061,
      0.258286572706078,
      0.257998080481678,
      0.270892153576933,
      0.284327593710712,
      0.302501266837122,
      0.332073291103725,
      0.345418993479521,
      0.305467445567416,
      0.250406828216772,
      0.227282814142318,
      0.223196667292987,
      0.203747104820568,
      0.180804072121675,
      0.172947886549766,
      0.167207406439322,
      0.150779276423119,
      0.139473876486118,
      0.146717241572133,
      0.1585329494805,
      0.151191993507135,
      0.133703117869022,
      0.121458214853391,
      0.114581020858729,
      0.118980118751447,
      0.141313128661714,
      0.177314714018706,
      0.232153372125193,
      0.28613636509795,
      0.290922714219604,
      0.263364226610173,
      0.241090418967,
      0.244343647899728,
      0.248193368357122,
      0.2493924563804,
      0.26281487706181,
      0.292977783810864,
      0.322672114341908,
      0.324702992380927,
      0.294655576837145,
      0.258637914085064,
      0.232091121210934,
      0.218600409019208,
      0.216244859715598,
      0.20651249729744,
      0.194340325209044,
      0.211255647535121,
      0.262023085898273,
      0.32874766770311,
      0.335254782780121,
      0.289273400598484,
      0.295953932669413,
      0.363404159698071,
      0.435368170435509,
      0.434866750128087,
      0.408708772479444,
      0.402282689293506,
      0.39463250266298,
      0.373663419292274,
      0.347365881174402,
      0.327670399359111,
      0.335582685682583,
      0.376914323866877,
      0.424954500109963,
      0.44184771840834,
      0.419316884272885,
      0.363250481170779,
      0.29887917455365,
      0.263353339513665,
      0.268001125426925,
      0.293437485400021,
      0.308305586515549,
      0.314433573196172,
      0.315735885086785,
      0.310021143817218,
      0.29987502149383,
      0.285973530834954,
      0.272307485013584,
      0.26546833241818,
      0.275335014905164,
      0.30418306036958,
      0.328438349080997,
      0.324747542283456,
      0.303529451925209,
      0.292983932003095,
      0.287193802027103,
      0.271778895399393,
      0.262415633670173,
      0.271193318811904,
      0.296463556021423,
      0.316302492222153,
      0.297340738400439,
      0.267112676643733,
      0.267635441099184,
      0.292185162117538,
      0.315344125680293,
      0.342205624603724,
      0.353263788972382,
      0.315550243072027,
      0.282589829254305,
      0.288673960788783,
      0.331173735652525,
      0.363290003923312,
      0.369206386930989,
      0.392469979285992,
      0.415231840390424,
      0.403005074181148,
      0.362995106135738,
      0.326149174746716,
      0.316753529771516,
      0.342856888146451,
      0.386707723255815,
      0.390172062617779,
      0.354792588084679,
      0.33779302754091,
      0.339464829208408,
      0.336079791923712,
      0.314971904475581,
      0.28577217294746,
      0.284693385775292,
      0.312410236493546,
      0.34877348961285,
      0.373198171616377,
      0.382169243701721,
      0.392180611800958,
      0.390868834536294,
      0.37879245483205,
      0.354170098551089,
      0.301773130156816,
      0.256907972093278,
      0.258663062857223,
      0.298717998401867,
      0.339036860734322,
      0.32903715026589,
      0.290643682143151,
      0.268849807190036,
      0.263339230577727,
      0.257396555735162,
      0.229252041263054,
      0.193063532633655,
      0.175187689251554,
      0.172046312698353,
      0.16126126894726,
      0.0586805560778751,
      0.119190373665549,
      0.174520762006387,
      0.193200721843261,
      0.164156844395933,
      0.134321688567709,
      0.138291405577805,
      0.170632987753798,
      0.191688583226792,
      0.191009782465296,
      0.196771144454767,
      0.203322062090458,
      0.18965412457921,
      0.17543111911051,
      0.177746659400184,
      0.173601157444447,
      0.154389433248621,
      0.14050699719716,
      0.148362308275037,
      0.164522707947582,
      0.169599939226769,
      0.195606148177503,
      0.267719057376721,
      0.363667481229301,
      0.421544455690816,
      0.383996498748909,
      0.311531976842226,
      0.267962525716849,
      0.227351207673264,
      0.183099412604511,
      0.143909250739142,
      0.119689292897289,
      0.116415102318097,
      0.131692748212884,
      0.163699094026918,
      0.198478520650073,
      0.205241011422161,
      0.178522003496055,
      0.135767103002175,
      0.102590602734391,
      0.0934576017813856,
      0.111923000121288,
      0.163509959499073,
      0.235738455623257,
      0.287419278515274,
      0.312245839492107,
      0.304484181784155,
      0.265617819260667,
      0.225959210355432,
      0.198161292907229,
      0.184205096290903,
      0.184533990895411,
      0.199453013853654,
      0.23319029612295,
      0.273797997403486,
      0.308883388437893,
      0.313880534896551,
      0.283015252593681,
      0.252451433692878,
      0.244150503745435,
      0.249104691928935,
      0.254727680463217,
      0.267080956835123,
      0.296644826632329,
      0.323301809834905,
      0.293984811127493,
      0.235171439693528,
      0.204298527778259,
      0.197625904689222,
      0.186509972256498,
      0.186651851151724,
      0.212010174994229,
      0.215627567861285,
      0.175764993257657,
      0.136532720844812,
      0.127608466678276,
      0.136623917540732,
      0.127865899251613,
      0.107130515669002,
      0.0988348761873729,
      0.10345086768302,
      0.111343136167288,
      0.124170718432455,
      0.151598729960793,
      0.205355060080105,
      0.257558368241029,
      0.262077708559964,
      0.246876809603338,
      0.239328181505428,
      0.243899827977026,
      0.25447268856539,
      0.267997999394943,
      0.280094987761641,
      0.298242995600846,
      0.32150415058386,
      0.327535664902502,
      0.304596264450091,
      0.277946117213556,
      0.262105545221457,
      0.252146565153774,
      0.239230869258692,
      0.209314702943851,
      0.186477997185299,
      0.20365817206973,
      0.256557795387833,
      0.330851393681895,
      0.353109603477863,
      0.303882253484505,
      0.283817516464735,
      0.323875911450257,
      0.39336742798362,
      0.420561961931687,
      0.409977207607984,
      0.403247959814394,
      0.39563926525032,
      0.376694402188517,
      0.34530327895032,
      0.313519337791842,
      0.308924761087709,
      0.337017092989698,
      0.379232361938802,
      0.405961435409438,
      0.404471261241963,
      0.368428960692966,
      0.319392520064206,
      0.287699555263277,
      0.285939575736369,
      0.301947889144774,
      0.311770496447357,
      0.312984439842014,
      0.304943882595095,
      0.287022463101007,
      0.264600669749373,
      0.243177025374217,
      0.229994004795678,
      0.229708484510263,
      0.247780264248534,
      0.283608114615174,
      0.310005609714389,
      0.306820555111687,
      0.288441466874913,
      0.27894895330542,
      0.272565112181828,
      0.260980163308583,
      0.255021471107798,
      0.260057747438025,
      0.280509492677318,
      0.307170089131328,
      0.29900916805248,
      0.265702473724627,
      0.264403112531619,
      0.295719005438492,
      0.321282180029622,
      0.325608783644723,
      0.310981581439799,
      0.275528345097571,
      0.258405109429062,
      0.281165615948945,
      0.340815333261179,
      0.382743635314472,
      0.374920346581826,
      0.37940298781854,
      0.397333081747603,
      0.389006481250058,
      0.352303414817165,
      0.32009728931463,
      0.313421384336835,
      0.334162953164228,
      0.369033922485575,
      0.374628969447224,
      0.351359365110682,
      0.337151897122192,
      0.32993114462371,
      0.321495057825996,
      0.312852345020721,
      0.291546773164589,
      0.276704677646728,
      0.286699585893968,
      0.320729687845053,
      0.355608509213771,
      0.368634777739223,
      0.379070289858015,
      0.379242908946634,
      0.358839427940574,
      0.323261064364008,
      0.276063152703145,
      0.236885892282531,
      0.226124762184739,
      0.248291248777359,
      0.290865619485224,
      0.313216454258143,
      0.302937489567393,
      0.284961995337652,
      0.263253622816337,
      0.241940859223694,
      0.222368813420879,
      0.202934252225556,
      0.187776317043101,
      0.173178274752024,
      0.150505837089073,
      0.060219581012493,
      0.116083591243599,
      0.160124237057521,
      0.17882983637105,
      0.164942415032573,
      0.146965730237374,
      0.159277321071045,
      0.206469911112267,
      0.236834589501468,
      0.21722238608861,
      0.191207766136806,
      0.186059425965172,
      0.186071457960204,
      0.198695769626069,
      0.223210042762555,
      0.227298183635768,
      0.208176542632433,
      0.193026434197693,
      0.198884975857767,
      0.22508573439942,
      0.264313647219269,
      0.326978959318343,
      0.396924403343683,
      0.444852451768929,
      0.444830830977257,
      0.390942898905854,
      0.333939168314751,
      0.334382016506624,
      0.351093600470193,
      0.3367715011062,
      0.307349084318564,
      0.277111746530123,
      0.245499934806249,
      0.209084355625089,
      0.194293562891322,
      0.205751630291517,
      0.224482144426144,
      0.237132248707779,
      0.217097823359118,
      0.170490964231331,
      0.133256558301016,
      0.126840047993247,
      0.165778228965571,
      0.237280438460466,
      0.289006055860603,
      0.314838475385744,
      0.306238632466061,
      0.272236849738974,
      0.249170079858235,
      0.236923171305966,
      0.222642983953086,
      0.210293724909176,
      0.215312546444149,
      0.247063087929336,
      0.289076735918232,
      0.329309154042935,
      0.342024541150817,
      0.309741651556185,
      0.271135946984002,
      0.262499487794236,
      0.26982540633166,
      0.265702216251243,
      0.262859084382385,
      0.290557545058988,
      0.328606487927246,
      0.305828739099163,
      0.238013362930828,
      0.187645335099486,
      0.173490511637773,
      0.182578645516513,
      0.220901424664941,
      0.270718258936993,
      0.269887245527127,
      0.217340691720324,
      0.173194184886564,
      0.162031551044428,
      0.163684108327405,
      0.152606262916979,
      0.133661799227707,
      0.127583348581603,
      0.135785678401487,
      0.141395857893369,
      0.141673340736196,
      0.15517997724632,
      0.198886175646079,
      0.238194445826672,
      0.242830655349396,
      0.250354737722553,
      0.270918243762593,
      0.290078476300958,
      0.326261949151079,
      0.360924220597994,
      0.357404719613356,
      0.334586509572944,
      0.328211200888369,
      0.338000117895263,
      0.329512978268915,
      0.303661641617829,
      0.276028850148226,
      0.261662129346197,
      0.25762165590475,
      0.231910608252035,
      0.188328255315845,
      0.176350054942504,
      0.211869823762948,
      0.29337405311058,
      0.348105704495429,
      0.312057961300539,
      0.279747088121316,
      0.303630388452948,
      0.371738529379664,
      0.420015296254858,
      0.425212921728863,
      0.421980452834271,
      0.41938115300905,
      0.405287261085798,
      0.366935344982585,
      0.319978235694569,
      0.301954925844787,
      0.321570787534078,
      0.357488848555778,
      0.383587975835232,
      0.383264490657683,
      0.355982389463818,
      0.326573097918475,
      0.306218319878749,
      0.301798678711822,
      0.315721473611126,
      0.333482676134903,
      0.32899665623481,
      0.298641749921878,
      0.266013180596916,
      0.247835069496832,
      0.242477382505829,
      0.240482548357292,
      0.243503830393074,
      0.267681523565553,
      0.313964587469102,
      0.339700491929701,
      0.329929618393138,
      0.307713228985061,
      0.291920825208571,
      0.280614948625731,
      0.274825375353214,
      0.270821338077511,
      0.267229089003835,
      0.277422216225283,
      0.303713729668491,
      0.297389212237083,
      0.25908030012745,
      0.253603531209118,
      0.288829974777406,
      0.329298808347804,
      0.341390506141893,
      0.318628666931339,
      0.278590780546279,
      0.266324934307968,
      0.29797126405281,
      0.3721289893263,
      0.427799405618858,
      0.412654555236771,
      0.398604286838042,
      0.408383215872519,
      0.404263059387649,
      0.368837651813344,
      0.332319561840642,
      0.321822184771804,
      0.337744800720185,
      0.3672356977345,
      0.3782200798066,
      0.368123974094043,
      0.356356881214952,
      0.339962926728741,
      0.332606701767433,
      0.335876488070865,
      0.312925970463247,
      0.28097572215186,
      0.27815971535483,
      0.315417588557472,
      0.361717235900132,
      0.379305242051553,
      0.385631319224415,
      0.381089764854807,
      0.355775143800767,
      0.320570843927265,
      0.282725064605221,
      0.249160268579771,
      0.2341536166873,
      0.247859819246396,
      0.289921857651512,
      0.328247460708284,
      0.33825367595844,
      0.323929223436191,
      0.286070357824514,
      0.259419200319732,
      0.269110355256284,
      0.275839488039974,
      0.255605827988639,
      0.217392180969554,
      0.176462628592039,
      0.0937554898992268,
      0.163178700529838,
      0.205791743661853,
      0.227484003455309,
      0.228103747134429,
      0.220608158695623,
      0.222841049951996,
      0.250448026552792,
      0.275356955263279,
      0.262209831701394,
      0.233395203558727,
      0.212329945366784,
      0.217053290659354,
      0.252794433862423,
      0.294207005531409,
      0.303996322101753,
      0.299265833238938,
      0.301327924371401,
      0.310058816678925,
      0.333377174455445,
      0.368020679017655,
      0.381531909275145,
      0.355433696264733,
      0.316158146758233,
      0.314638720349308,
      0.352483542918346,
      0.359662078380451,
      0.359442751460341,
      0.350102930595283,
      0.337113255089213,
      0.351316092435404,
      0.367027736906926,
      0.342531621156275,
      0.281283821772209,
      0.248536665264261,
      0.252383665329648,
      0.2830481756686,
      0.358786432791294,
      0.389131453839914,
      0.337046495888815,
      0.266547022371033,
      0.224500901622538,
      0.239607112474586,
      0.2920063212236,
      0.338966397738944,
      0.370465576112658,
      0.357458700584324,
      0.314900391612326,
      0.310082648043206,
      0.32192920234249,
      0.304517735309732,
      0.275087731359039,
      0.279370769872392,
      0.32531051488823,
      0.368982771599318,
      0.400797627744323,
      0.406969569024536,
      0.361224409622586,
      0.311049323642638,
      0.307057484965542,
      0.324171604357289,
      0.31574026137729,
      0.304292051355621,
      0.334508904877485,
      0.374452085757032,
      0.346301883683726,
      0.271189178941258,
      0.213723256335135,
      0.202586650458803,
      0.228980342611146,
      0.310082228555892,
      0.402405663302889,
      0.414863277035968,
      0.352315580322271,
      0.294965586316589,
      0.269875663565339,
      0.24881311491423,
      0.233682724099676,
      0.235177069678135,
      0.263723439170277,
      0.290798206806867,
      0.283381596102904,
      0.257552188275275,
      0.252075408386869,
      0.287529456194721,
      0.306522611723619,
      0.292357372223431,
      0.295758508183433,
      0.321717637469572,
      0.354679878504432,
      0.407273226775249,
      0.444605054884935,
      0.427286540914047,
      0.386001919485894,
      0.374140942721541,
      0.391308564946042,
      0.390699450617798,
      0.364483785366791,
      0.32645950542235,
      0.305690572400832,
      0.318866229981245,
      0.329901812136913,
      0.283890666152778,
      0.237614890044657,
      0.252662082432166,
      0.345877357568765,
      0.42619363868487,
      0.385159207741928,
      0.334054958741481,
      0.338616257232546,
      0.390854340055189,
      0.425759234582771,
      0.426257702947759,
      0.428646566371593,
      0.439373339000884,
      0.438061380540706,
      0.405498728023044,
      0.356588519484376,
      0.327178950154594,
      0.331721983396515,
      0.359771722900457,
      0.394114096262393,
      0.401464496054096,
      0.380297897075615,
      0.357249608817444,
      0.336852094308899,
      0.330848841345618,
      0.355171807120382,
      0.383336931054583,
      0.358714648025346,
      0.302077512054373,
      0.267861804157464,
      0.270367940276103,
      0.290919040109448,
      0.305539133532488,
      0.31410099361018,
      0.345468522041572,
      0.404214923128146,
      0.432869155418885,
      0.414639424485366,
      0.382192996278751,
      0.357618182747291,
      0.345452851303457,
      0.348052832834572,
      0.339880008593742,
      0.315633617636516,
      0.304410715920011,
      0.330242382208921,
      0.330018489583384,
      0.281092169120759,
      0.260527495684388,
      0.295344319769201,
      0.355006174138059,
      0.384352973483943,
      0.356449462319679,
      0.305435378975863,
      0.29768117785754,
      0.343086932130646,
      0.430718671792752,
      0.487593254930971,
      0.466682957871319,
      0.443472673307392,
      0.439467096992994,
      0.439786482265475,
      0.418046619104709,
      0.376532624606357,
      0.350476504079126,
      0.360360535333924,
      0.400115640759211,
      0.428873731644198,
      0.425838001193814,
      0.404284378082061,
      0.372950500450526,
      0.371346634427199,
      0.388691817594402,
      0.358997716701613,
      0.309362071577663,
      0.303015862885066,
      0.358308352438256,
      0.425687161343164,
      0.444650864951162,
      0.431094302399777,
      0.403052024776907,
      0.372200763559513,
      0.35723872719759,
      0.3386461293794,
      0.297688817028025,
      0.265470708125192,
      0.269311491048971,
      0.322997659897985,
      0.391788525618214,
      0.433234683800281,
      0.425880831653929,
      0.370755726091817,
      0.341963357535039,
      0.380269916759598,
      0.407865834052175,
      0.383612397357067,
      0.329923766234686,
      0.270118915595924,
      0.128347709743371,
      0.220131635934507,
      0.273070081818901,
      0.287730403712396,
      0.28051516735398,
      0.296185964727143,
      0.319105441396844,
      0.332864114122548,
      0.333437229989267,
      0.332585514675248,
      0.331410720661971,
      0.303677180396015,
      0.307056723769274,
      0.342282084464116,
      0.350423678530175,
      0.33623099108142,
      0.358077199014093,
      0.408045961197046,
      0.440922885538113,
      0.444767533421291,
      0.407169916183679,
      0.314925076030358,
      0.221444268803145,
      0.18384430149857,
      0.231842925591684,
      0.331648654642644,
      0.372892179323955,
      0.318627553826741,
      0.234495965271053,
      0.19147100008371,
      0.204717494998774,
      0.248034437555952,
      0.295141058947652,
      0.348831307217081,
      0.401107775878292,
      0.43138039806495,
      0.426585219600153,
      0.423253045849171,
      0.40013750692727,
      0.364169420506652,
      0.337054202906093,
      0.322516205146097,
      0.343316874361521,
      0.387195719555161,
      0.434804111027451,
      0.463151453593515,
      0.431074971290253,
      0.376443920046074,
      0.401826045764456,
      0.460702333126251,
      0.45759600443484,
      0.41010215289742,
      0.400621021830649,
      0.444823520554267,
      0.474892097345996,
      0.4776543184803,
      0.467230474618719,
      0.416859505083494,
      0.377005673346442,
      0.402619465223535,
      0.44137573937715,
      0.417806864982871,
      0.380983434739195,
      0.410895981785623,
      0.456994193829755,
      0.431387549800669,
      0.361876596297327,
      0.312753476283851,
      0.319924778657364,
      0.342332344403678,
      0.360477563942975,
      0.363842072437395,
      0.349889855666613,
      0.339201863506281,
      0.348828769569678,
      0.383064892258658,
      0.410563083617539,
      0.42748396923742,
      0.444144433539015,
      0.47207700567455,
      0.470879095921923,
      0.430839813756675,
      0.403150477394817,
      0.417514042371088,
      0.457921442814238,
      0.434892648364213,
      0.370723679744019,
      0.350038944578963,
      0.368512804972799,
      0.404759069604025,
      0.425252057063418,
      0.412171790369705,
      0.382213848264912,
      0.368782978128227,
      0.399423996033341,
      0.441621102906923,
      0.447466836392825,
      0.43652154172304,
      0.428009739438932,
      0.430906913136338,
      0.453604614781514,
      0.476082609630569,
      0.429202964993449,
      0.369725096252349,
      0.37166147590148,
      0.443256056131027,
      0.461678540350699,
      0.373050100487909,
      0.322589798019818,
      0.34727980695252,
      0.413638696004458,
      0.440399758169865,
      0.42945395271292,
      0.434106649297626,
      0.455411828887389,
      0.463598446789806,
      0.44965170485643,
      0.42352433673164,
      0.391964935557049,
      0.364088809460959,
      0.366407919220564,
      0.409892623778468,
      0.435112269231672,
      0.420755616409249,
      0.395394278401381,
      0.377164164988368,
      0.382405707493101,
      0.419438045725906,
      0.446295890957558,
      0.405186402121104,
      0.339213781714236,
      0.320226747323116,
      0.35598852098686,
      0.407010410865025,
      0.43515349818717,
      0.443751360094922,
      0.464732270628101,
      0.507122172527364,
      0.525745366325691,
      0.508197456279874,
      0.481514799266439,
      0.466807419318992,
      0.461303170850819,
      0.443427330238206,
      0.398810863061057,
      0.360873877916629,
      0.370715097100132,
      0.431151952278148,
      0.435587070979396,
      0.361353528463922,
      0.319651360767761,
      0.356129627838029,
      0.432762839444777,
      0.464134664523647,
      0.417751008529625,
      0.347533174589943,
      0.324158059040535,
      0.359680212816488,
      0.448762387303413,
      0.511761136857002,
      0.496803783841728,
      0.474816200172199,
      0.464022248432491,
      0.46176352070816,
      0.461267233294893,
      0.437524468683194,
      0.407819302826988,
      0.410620448006035,
      0.459263584178305,
      0.4966200474875,
      0.493102123102211,
      0.481304127314526,
      0.460354659725118,
      0.452547624965812,
      0.463433820981304,
      0.435912301641755,
      0.388003816248242,
      0.381642828479022,
      0.433104995290116,
      0.486569285450783,
      0.487601291072795,
      0.469128526251303,
      0.441683884428135,
      0.414978169941674,
      0.426664120660115,
      0.434043403852988,
      0.381291286110641,
      0.317993442511147,
      0.306781623972596,
      0.384680633926123,
      0.486862822819471,
      0.520891147660383,
      0.496826278711037,
      0.458145951945122,
      0.446376823343232,
      0.455354648854421,
      0.455752680095084,
      0.45489773485713,
      0.445451811107015,
      0.395126648639874,
      0.112263019060434,
      0.211588334360779,
      0.30071236611279,
      0.332942730108155,
      0.290845779802571,
      0.262111239433212,
      0.270301498994911,
      0.293906561307249,
      0.314303034942566,
      0.351202879309878,
      0.406200289144216,
      0.415458732859217,
      0.401159394754387,
      0.377500399365887,
      0.321180146267089,
      0.271537254260279,
      0.28368421128244,
      0.340429701059441,
      0.383743258489332,
      0.380205458880108,
      0.313892282480455,
      0.206771239830517,
      0.124892216148063,
      0.112101999717457,
      0.176814602328466,
      0.283212434968383,
      0.325558991096696,
      0.276665662007091,
      0.199644599850543,
      0.145034027431085,
      0.121448317620199,
      0.130307890496984,
      0.18838252692384,
      0.308441281810312,
      0.430457262572531,
      0.465231572341769,
      0.403319294611648,
      0.310941195672676,
      0.22035015320612,
      0.197507803068163,
      0.250561879068121,
      0.342344680959475,
      0.432853821185265,
      0.457609634234573,
      0.440925879426837,
      0.451442246469704,
      0.455313945501196,
      0.428064270562479,
      0.422894337285889,
      0.428338396226094,
      0.413177188890356,
      0.404115871201382,
      0.437902239374871,
      0.48636392780539,
      0.482319240109434,
      0.453501817688887,
      0.442841079287933,
      0.418138407923526,
      0.411395104416672,
      0.459046024550472,
      0.499287023959103,
      0.47213871926446,
      0.442140269836359,
      0.472380212227723,
      0.493623674591227,
      0.453422631447269,
      0.417267642082734,
      0.41076151663366,
      0.394704591114045,
      0.329032743541792,
      0.254432963395538,
      0.203324225551103,
      0.182781430283743,
      0.189219203063934,
      0.231175944132914,
      0.326668704229809,
      0.432877297371408,
      0.47701425618803,
      0.457851121431736,
      0.427626542067037,
      0.38625097307668,
      0.356199093139231,
      0.368884014821644,
      0.415605815633949,
      0.466060850405957,
      0.445627435001258,
      0.37334230056704,
      0.341611523034942,
      0.363760245743527,
      0.405091300236882,
      0.388181277927995,
      0.326360332265628,
      0.29345030574236,
      0.310450398658667,
      0.360316961793949,
      0.401798403044418,
      0.401740856934283,
      0.393343314940414,
      0.40090206349991,
      0.417738914166301,
      0.433906304938605,
      0.437808922825036,
      0.399216881128009,
      0.36037786608962,
      0.359772182283126,
      0.394835672164509,
      0.36967353593497,
      0.298264241952008,
      0.297425097490362,
      0.372649289552221,
      0.464295811504115,
      0.480556150314778,
      0.450303531310184,
      0.437559365618722,
      0.442377003095649,
      0.442436208697851,
      0.443349255876709,
      0.441956842567787,
      0.423307396306932,
      0.389550081445093,
      0.379941378917383,
      0.418846980628139,
      0.440089567124225,
      0.409373394961666,
      0.365101852899592,
      0.347764413768153,
      0.364782743486084,
      0.394501365291263,
      0.418812994407699,
      0.431227702734131,
      0.429012843727243,
      0.432784397730424,
      0.465085438940226,
      0.496784607924602,
      0.489424297104964,
      0.47530468007373,
      0.483915254492979,
      0.492562934218564,
      0.474129080003601,
      0.457911337416842,
      0.454726308610422,
      0.462600121456747,
      0.458848385580387,
      0.410128963403128,
      0.350399207102253,
      0.351556629817579,
      0.428529679703445,
      0.515884811474245,
      0.510432589050233,
      0.448077317799349,
      0.427892761807258,
      0.458994764723875,
      0.503579931280819,
      0.517704640043795,
      0.482509488447386,
      0.408616372252595,
      0.354475807697633,
      0.35365173807425,
      0.406295991335246,
      0.443885231521176,
      0.44506148765646,
      0.467338414176953,
      0.48613178165452,
      0.471482885995922,
      0.457850156888389,
      0.446871288214936,
      0.443672531266752,
      0.466891224746989,
      0.506981611183134,
      0.491704380414177,
      0.452856675495456,
      0.472021685789648,
      0.506943842708428,
      0.502863775052283,
      0.485027108004774,
      0.458910296779405,
      0.435899713394374,
      0.430826437934957,
      0.441578549903044,
      0.437066130202035,
      0.412528534558906,
      0.422123092181347,
      0.453171485064171,
      0.467189644469137,
      0.478669522275504,
      0.46915757768781,
      0.416913769066345,
      0.373503303775676,
      0.383013545675782,
      0.446326206437566,
      0.480683604067991,
      0.457087957022893,
      0.438307121469484,
      0.457331074325138,
      0.462010916246167,
      0.405996502976277,
      0.34378032559917,
      0.343299697333193,
      0.376359132573594,
      0.371433944187534,
      0.0593345086531583,
      0.144434244007418,
      0.248729992280451,
      0.303329277482777,
      0.263100604099646,
      0.203606470431755,
      0.181285381338617,
      0.193568054322814,
      0.223948155160885,
      0.279864586317905,
      0.3595128001245,
      0.394049786913302,
      0.373611882471935,
      0.331422564113915,
      0.262564935669997,
      0.192392857606528,
      0.173126600637105,
      0.204027184528035,
      0.236513730631879,
      0.229342220596205,
      0.177612726691172,
      0.118328180374266,
      0.0831988035327732,
      0.092001936658035,
      0.155771336258749,
      0.246509336441804,
      0.268485787270351,
      0.220050112023408,
      0.164647624023868,
      0.125733805912139,
      0.102437985737203,
      0.0987851860850309,
      0.124376773069328,
      0.187150565920842,
      0.258953006672781,
      0.282096482946031,
      0.239146636748147,
      0.173428824887716,
      0.112615044938357,
      0.0948827261270891,
      0.13493244445766,
      0.21745404052492,
      0.311711423654291,
      0.354036130815259,
      0.344914125370141,
      0.370565741066791,
      0.419849157357757,
      0.404293729664204,
      0.34391408254982,
      0.288511024361929,
      0.263053312701857,
      0.270017878188367,
      0.305717792192961,
      0.346339739958924,
      0.354810346930924,
      0.356291249159424,
      0.37184941372224,
      0.371017514263303,
      0.362021556155961,
      0.369951946997993,
      0.380038591531536,
      0.384061039800194,
      0.395066213149918,
      0.416519801834265,
      0.403047806036165,
      0.351977009219525,
      0.330432276223069,
      0.345060674907619,
      0.334733856342046,
      0.264487556933308,
      0.196577269858925,
      0.165360437817225,
      0.155179292914026,
      0.14547921887144,
      0.150915164858501,
      0.189294563524595,
      0.240244162194154,
      0.266101705279325,
      0.26142423918302,
      0.242899487312408,
      0.208866940321152,
      0.185762818590567,
      0.197669979962466,
      0.234748584314776,
      0.280354628832668,
      0.299318428756107,
      0.287706551952211,
      0.279338599507187,
      0.300206197409682,
      0.331462916512329,
      0.31077209630377,
      0.254571367216535,
      0.234916687050028,
      0.269138815439719,
      0.319919148258902,
      0.332661102193334,
      0.29688895907457,
      0.269585166510115,
      0.267612513544064,
      0.271880214046983,
      0.272232806498704,
      0.266449326781682,
      0.245202574791901,
      0.228722100082587,
      0.236555516340252,
      0.276253993342338,
      0.295625591303877,
      0.281905474350114,
      0.312358835156694,
      0.399188084220558,
      0.476162226550462,
      0.467522330067436,
      0.427695224289752,
      0.406333967745912,
      0.395406224800289,
      0.386309653021909,
      0.380224712368324,
      0.372525544439955,
      0.371091666944915,
      0.393601911134104,
      0.430953286223937,
      0.449053486496458,
      0.418205061707099,
      0.351828374562161,
      0.292533656712974,
      0.27290257386025,
      0.293186536564809,
      0.322269977186856,
      0.355255976736659,
      0.416989237073679,
      0.464602074949195,
      0.459781297765262,
      0.439764255535761,
      0.416542999120044,
      0.379808237389297,
      0.357227897229194,
      0.367116353084949,
      0.376773158414787,
      0.361557628122881,
      0.34771830343378,
      0.338695126097274,
      0.347647408075642,
      0.352467642212775,
      0.317560803019315,
      0.277494976364255,
      0.288686797478494,
      0.352973086139811,
      0.413248822941053,
      0.410619043437459,
      0.386619469199817,
      0.394169103757823,
      0.418643982026504,
      0.431928134908971,
      0.449163230061017,
      0.458948653218835,
      0.403912161528413,
      0.337074964617234,
      0.315738838631722,
      0.347447860282846,
      0.377360803457679,
      0.39010515268234,
      0.43231846379772,
      0.469140161500855,
      0.452438723032508,
      0.40883543874543,
      0.38122169739007,
      0.392657371038526,
      0.432583178176947,
      0.458736085071695,
      0.413407102661838,
      0.361073836670466,
      0.376024464342267,
      0.413031258255598,
      0.41195283471107,
      0.374913621521051,
      0.335727150282517,
      0.324225405883109,
      0.336960065754553,
      0.356974862412079,
      0.362880215580781,
      0.358139363964688,
      0.38061881276205,
      0.428155926189134,
      0.450765858896073,
      0.433190502047662,
      0.38776152968974,
      0.348203971620845,
      0.353919772159883,
      0.397173407267977,
      0.427315707187881,
      0.380273613915396,
      0.324296352714049,
      0.325578852179383,
      0.365781845225019,
      0.375579236654144,
      0.309874187293105,
      0.234449648666423,
      0.217336449572875,
      0.236114719492699,
      0.235981047778266,
      0.0356792383886183,
      0.109125855643636,
      0.195384000224043,
      0.235113571343876,
      0.207309393283311,
      0.168202670433464,
      0.151491966839945,
      0.152346763014046,
      0.170261612193319,
      0.211299122451416,
      0.265640297185353,
      0.287977906527198,
      0.274058080939979,
      0.254603398461706,
      0.21561511587244,
      0.157146219155735,
      0.129079343270679,
      0.146711120979113,
      0.171211053458608,
      0.160817498510362,
      0.122162129981679,
      0.0946379099009408,
      0.0937899907697523,
      0.126628989556494,
      0.19020416507668,
      0.248509510962008,
      0.243965517763951,
      0.195271982465798,
      0.151900855037711,
      0.122824197475714,
      0.0994434799139209,
      0.0894497784414091,
      0.100888689193826,
      0.131438189235301,
      0.166045071989705,
      0.185243795149597,
      0.171414526763187,
      0.133436607752707,
      0.0923762115529908,
      0.0716587050237974,
      0.0825558450677175,
      0.123439206732607,
      0.185923438195278,
      0.244318022538145,
      0.28496353936927,
      0.331211849806136,
      0.361932925095144,
      0.334336778020675,
      0.275661045905286,
      0.220911535014587,
      0.189010631106424,
      0.183140053994439,
      0.200737362022129,
      0.237448030249885,
      0.270342533191554,
      0.295383144427261,
      0.314998564949359,
      0.309474702677604,
      0.294164203652955,
      0.293123843894229,
      0.299052911108792,
      0.299578470799295,
      0.300604561223383,
      0.31672540024544,
      0.319999780029319,
      0.286874665484072,
      0.25729694690967,
      0.261255034720305,
      0.25819855282326,
      0.216222586870718,
      0.179088568216197,
      0.172269972629833,
      0.164728370912022,
      0.138623521676938,
      0.121164068291348,
      0.126838825105516,
      0.13804126696994,
      0.132531917718128,
      0.126109655372603,
      0.127060655930989,
      0.120741477770437,
      0.112327386838126,
      0.120686867108032,
      0.150576617070847,
      0.190959076662622,
      0.215211034565012,
      0.222937750956396,
      0.237687403810365,
      0.259747062633016,
      0.269540672743036,
      0.243885970521357,
      0.207542987366287,
      0.207208440696257,
      0.25952439190425,
      0.323558949122031,
      0.330808227949588,
      0.279799318354491,
      0.237534391814743,
      0.220956008266989,
      0.21452549732304,
      0.219161836677226,
      0.221310305716097,
      0.200462292911995,
      0.185295444020849,
      0.206207043131212,
      0.270188066438888,
      0.310332303734817,
      0.292779691075126,
      0.309398496508497,
      0.38112018809437,
      0.443427388191836,
      0.423886974678299,
      0.385358328478493,
      0.374192446462941,
      0.369828940050463,
      0.364010954032991,
      0.354793625820983,
      0.344356764506883,
      0.352831254997347,
      0.400742876990104,
      0.452500884415772,
      0.449048880946482,
      0.393730146013108,
      0.326090497913023,
      0.272354944790968,
      0.249051064325775,
      0.258895421362918,
      0.281135651288768,
      0.30347417065796,
      0.339713204229028,
      0.366009992596106,
      0.351473113536436,
      0.315486496968449,
      0.281041196755877,
      0.259969618886505,
      0.256447168903215,
      0.271536248263843,
      0.29295771544794,
      0.296338651912677,
      0.284401317131148,
      0.273740805323596,
      0.287634931766295,
      0.299733500399534,
      0.275606307255636,
      0.241214066137296,
      0.234745930610952,
      0.262521975487236,
      0.303699155907155,
      0.317479333435354,
      0.302514231704642,
      0.297710524655686,
      0.311425800229035,
      0.328667977594321,
      0.360485422538366,
      0.385921544208632,
      0.344492101786511,
      0.288849458826399,
      0.274046957810924,
      0.310035795867583,
      0.346527185788137,
      0.358007499503327,
      0.385458931134403,
      0.408871051358561,
      0.400067425375447,
      0.366494046273942,
      0.327911335115361,
      0.31498063875257,
      0.33777461742264,
      0.367124972637567,
      0.346237345306481,
      0.309122481495965,
      0.313515223061058,
      0.339087509264363,
      0.348573868013626,
      0.325073682275836,
      0.282401747066968,
      0.258454723287679,
      0.265845414263833,
      0.296534370986015,
      0.328424799368879,
      0.346790897614156,
      0.369745042532577,
      0.392448572006648,
      0.386221398581363,
      0.353399367556023,
      0.315532190346849,
      0.288440382859499,
      0.294235001677876,
      0.327604905515529,
      0.358156728119564,
      0.331238785302676,
      0.284373633417685,
      0.269795768351712,
      0.275850877904758,
      0.2725164111729,
      0.23349165511867,
      0.186158852810261,
      0.165416400676367,
      0.164686464094919,
      0.157371406194348,
      0.034523161404416,
      0.0996903200740039,
      0.175351078514233,
      0.211102626677694,
      0.189759709716814,
      0.160002608591111,
      0.151197127960391,
      0.153784058055966,
      0.159512925872886,
      0.173634654427059,
      0.196300088358054,
      0.213268629066161,
      0.210600614225232,
      0.191742693569044,
      0.159920458259902,
      0.128185942346448,
      0.117677371613582,
      0.133559435173267,
      0.15444557961311,
      0.152208272456377,
      0.136428503686727,
      0.145623317297991,
      0.193771278089988,
      0.270242082864043,
      0.331681516434081,
      0.317431022341672,
      0.255660273048885,
      0.205060317181767,
      0.167506223186024,
      0.136557283789331,
      0.10912527054251,
      0.0971247003164722,
      0.10869365991811,
      0.137635121411575,
      0.166905424271233,
      0.176191527336106,
      0.162646280264786,
      0.140356699712281,
      0.1124173642574,
      0.0878469464142731,
      0.0828272873285646,
      0.104681330240358,
      0.154240375470663,
      0.217896077767337,
      0.271774162931341,
      0.313160058262807,
      0.316039852812806,
      0.271143410481722,
      0.222302348425071,
      0.185943431389347,
      0.163348415711778,
      0.155401475957617,
      0.167710765598004,
      0.206271750340733,
      0.251329121851526,
      0.285952272499282,
      0.299101326301504,
      0.281916051647434,
      0.25760644173412,
      0.250695149672798,
      0.253093820221159,
      0.257155388285821,
      0.267718301877198,
      0.289594494110541,
      0.29827940045554,
      0.262756676338699,
      0.214171030056233,
      0.19324481111413,
      0.189630291696438,
      0.177558327568927,
      0.167335464898174,
      0.16953656265726,
      0.157551178081511,
      0.126762286282258,
      0.104232389608744,
      0.102513565621377,
      0.110586538406178,
      0.106018223357327,
      0.0943010947337736,
      0.0912782994164473,
      0.0954110538369869,
      0.0990791781439754,
      0.109630438609864,
      0.138380580494462,
      0.179728425080244,
      0.199911724513135,
      0.205317560736626,
      0.231920408782416,
      0.260072394677081,
      0.257603312824882,
      0.228437332793052,
      0.203918833256628,
      0.201294392067185,
      0.232426942332576,
      0.284246098346464,
      0.310017516158212,
      0.284635189936369,
      0.247282051536398,
      0.226541608904138,
      0.22067903870164,
      0.231527301643008,
      0.23374265654824,
      0.202757833780503,
      0.180145706159776,
      0.205626821780466,
      0.286480595764501,
      0.337518688453489,
      0.302185924606538,
      0.283463070890817,
      0.326188294856594,
      0.393550590466402,
      0.397456653988975,
      0.362580527746382,
      0.350465850987009,
      0.358645669110694,
      0.363182484591958,
      0.347327904679577,
      0.319052257617771,
      0.312819412638606,
      0.345570018519992,
      0.388430285104758,
      0.398151984362347,
      0.372410143088466,
      0.324963513183278,
      0.274796352525823,
      0.248198916113609,
      0.254338421011135,
      0.275897321987229,
      0.290584178792396,
      0.300053751093439,
      0.30064243746116,
      0.284703300184745,
      0.258377832445446,
      0.230612590086946,
      0.213141796070012,
      0.213861679710065,
      0.236318470785192,
      0.269561721536709,
      0.280868952259202,
      0.266151586797292,
      0.253243705730421,
      0.258105538220241,
      0.260241515369599,
      0.242698928294171,
      0.221283982817291,
      0.215984076996613,
      0.240322259047867,
      0.286722138873407,
      0.303875881941379,
      0.281761729697652,
      0.271291879660444,
      0.283364309621418,
      0.300344580338415,
      0.320755271178069,
      0.325474199649548,
      0.285414866348975,
      0.249108057647677,
      0.254249662563159,
      0.306383764422948,
      0.350574896245391,
      0.349610081573318,
      0.357116610550484,
      0.372842205407561,
      0.36989523359334,
      0.344004414171385,
      0.308785854403831,
      0.289259542785612,
      0.300924579264061,
      0.329085150576828,
      0.324404334670702,
      0.299292087905428,
      0.300320583618539,
      0.32297390185884,
      0.334909669558244,
      0.314130227945684,
      0.26928707747145,
      0.242449549972615,
      0.248131979725866,
      0.2804664552774,
      0.315534795977339,
      0.334529864408969,
      0.354435809164637,
      0.369775590241062,
      0.360407621082692,
      0.331607106830214,
      0.3005268174054,
      0.267722759221349,
      0.250369485384882,
      0.258222518161862,
      0.288126577269159,
      0.297457376544705,
      0.276904696229313,
      0.258843779274333,
      0.244955926085877,
      0.230223533545252,
      0.207534688528649,
      0.184115059244802,
      0.168508631240439,
      0.15736471111516,
      0.14061711524863,
      0.0387748895489529,
      0.095238369549592,
      0.148881046774234,
      0.168795065945729,
      0.149085809896248,
      0.128705810127882,
      0.136230514417036,
      0.166189853612618,
      0.186885040220517,
      0.179346532567384,
      0.170689167249248,
      0.176905685415239,
      0.181229768210511,
      0.169549140448276,
      0.145360314231034,
      0.124772459276357,
      0.11923426070958,
      0.132723491573328,
      0.154830959316796,
      0.176036770288916,
      0.206721231839658,
      0.263599203874806,
      0.338213939681423,
      0.404723310211953,
      0.42318712259186,
      0.361813235428238,
      0.288181194822011,
      0.23286110619334,
      0.192183262670372,
      0.163829022706732,
      0.144826723053895,
      0.136272984943787,
      0.138526116803343,
      0.151663728665893,
      0.170309373144255,
      0.173978559297963,
      0.164416253030979,
      0.159540620720953,
      0.148266049511859,
      0.124685225382488,
      0.109231375744632,
      0.118230043383308,
      0.162337855262056,
      0.229415575006238,
      0.277178796241614,
      0.305191823625279,
      0.295909397142311,
      0.245289628249617,
      0.204291705590725,
      0.185151971837263,
      0.174408434188814,
      0.166826050571209,
      0.17553787583755,
      0.212474399100043,
      0.258125972168779,
      0.299496153473118,
      0.318719251027806,
      0.293674786729982,
      0.25268330295723,
      0.235227327125815,
      0.23674557316993,
      0.247679364143781,
      0.271281981300776,
      0.301219177373353,
      0.304356865838079,
      0.257373468701398,
      0.199955157013488,
      0.162261498416037,
      0.14590059535461,
      0.143847693380052,
      0.155472954571617,
      0.170997856723026,
      0.168008720466858,
      0.147862289850148,
      0.132992777132327,
      0.133367004476884,
      0.140312185038351,
      0.13538790553026,
      0.119959337855228,
      0.116774752339534,
      0.126776783887146,
      0.131182219877801,
      0.131572457163425,
      0.146497051893501,
      0.183628311450223,
      0.203281401457047,
      0.20715623179478,
      0.239265138469513,
      0.275727929583592,
      0.276171425241581,
      0.256984333551525,
      0.245982176396068,
      0.231873665851239,
      0.228102771378531,
      0.254099908597382,
      0.288557973386904,
      0.286195839788541,
      0.265123264358021,
      0.247945923384552,
      0.232038536420317,
      0.221039363854738,
      0.209385487959502,
      0.182615906461661,
      0.163748857208607,
      0.185128784207789,
      0.257389591799785,
      0.308453715163807,
      0.277797772121767,
      0.254640178548201,
      0.286845559431317,
      0.351534352179284,
      0.367553272447716,
      0.340572409025026,
      0.329845585370323,
      0.34222626507366,
      0.350831671523549,
      0.333650360882601,
      0.29557807459189,
      0.274982205277607,
      0.293593367106617,
      0.334598087090492,
      0.360232262139872,
      0.351901677840434,
      0.312696443846175,
      0.27085436401446,
      0.2510425434805,
      0.259108976856841,
      0.28390810627583,
      0.307387178624942,
      0.3144917914478,
      0.295507186963339,
      0.267755273236141,
      0.248326844554469,
      0.235443889818102,
      0.225516922690224,
      0.229852071286194,
      0.259230766215117,
      0.297047215332004,
      0.301414955605081,
      0.281009847813661,
      0.269321889278422,
      0.270776729275913,
      0.266856787619051,
      0.254561837511692,
      0.240347787051624,
      0.231491945158822,
      0.249726863366764,
      0.299526669765765,
      0.318672588565183,
      0.289386653842624,
      0.275358779513346,
      0.288156279287731,
      0.305252123963195,
      0.315927767479564,
      0.301489090726156,
      0.256013845604767,
      0.229501995357724,
      0.248362602434442,
      0.313432275498038,
      0.365895106632518,
      0.360098086226705,
      0.355453349773021,
      0.363228771589543,
      0.359421303579366,
      0.336774480234546,
      0.307685083972295,
      0.29081012264226,
      0.298769528225544,
      0.326513609397794,
      0.333468842214332,
      0.319689755354863,
      0.316466786449716,
      0.323266288028836,
      0.323760472713991,
      0.30850702501896,
      0.270601636420562,
      0.241311268404604,
      0.245841378469418,
      0.289948354191095,
      0.342953031637219,
      0.364591853518742,
      0.371046167398623,
      0.369001779053762,
      0.352497777937863,
      0.324616370837231,
      0.285510982334699,
      0.243889224421922,
      0.223806418854585,
      0.233917046927617,
      0.270378608077119,
      0.298843422226508,
      0.297617773918487,
      0.281177054574029,
      0.2550212529507,
      0.227803387756824,
      0.207826312768226,
      0.194371040696475,
      0.181254765650347,
      0.162452666041165,
      0.137447504127612,
      0.0396227881828115,
      0.0898450665280152,
      0.12730696372431,
      0.140471008078707,
      0.132727052458769,
      0.127668100192649,
      0.148947256440553,
      0.196485275205516,
      0.223794504233138,
      0.200132355363206,
      0.171748541181112,
      0.161363704835482,
      0.156016474337801,
      0.151802789921011,
      0.148734742300569,
      0.145124069587886,
      0.150624565261536,
      0.171658324412124,
      0.193801946151528,
      0.21568843609323,
      0.259209604979294,
      0.312726897652516,
      0.338507575988158,
      0.332178710026955,
      0.326868163950396,
      0.335054596263062,
      0.320113243153047,
      0.262224907628955,
      0.205236240075602,
      0.170325162260172,
      0.157224350627612,
      0.158485559757126,
      0.163311490932122,
      0.171044454842794,
      0.182789551265418,
      0.183859369767824,
      0.17966236643672,
      0.185066276684628,
      0.182905661772039,
      0.162811635136825,
      0.144257103930588,
      0.143584479868856,
      0.175044031733126,
      0.231792036120212,
      0.275901099137493,
      0.308522163695134,
      0.303195117872589,
      0.254491082428692,
      0.220324353781845,
      0.212321684704044,
      0.207209626491354,
      0.201127800340116,
      0.214697700761922,
      0.255157797989825,
      0.294549580209702,
      0.329954736753822,
      0.352101801914203,
      0.322458087848014,
      0.269813580680161,
      0.244374876124137,
      0.243268724786554,
      0.248188799247226,
      0.266216604398221,
      0.303524091357338,
      0.320992710821023,
      0.276509192017978,
      0.209836147702942,
      0.162678917645291,
      0.144810353118954,
      0.146333249834469,
      0.163446704768955,
      0.181222159970995,
      0.181027219851629,
      0.1696234216046,
      0.169113275035219,
      0.184189108442363,
      0.194437786673927,
      0.184351287135729,
      0.173264867526655,
      0.19099238711682,
      0.21781591932693,
      0.215415729179785,
      0.189333066607315,
      0.173564123040926,
      0.192360579908113,
      0.20877062467162,
      0.209181289804188,
      0.232492888466552,
      0.267986422855214,
      0.281827210129381,
      0.284798469089007,
      0.289087789784892,
      0.276444617310559,
      0.257617110555852,
      0.262345202701901,
      0.28371633774589,
      0.281697130218363,
      0.271539918662277,
      0.26562964939742,
      0.251303766498572,
      0.226664930240163,
      0.206491897918004,
      0.189149040402683,
      0.178739018778374,
      0.198299960139394,
      0.263284708825,
      0.311884409636979,
      0.284739535276168,
      0.265470272429801,
      0.29193382832342,
      0.344056967925423,
      0.361386096142405,
      0.348518111144225,
      0.342487429138204,
      0.346198227704039,
      0.348312194850078,
      0.332256126442203,
      0.296102459121803,
      0.271255044274079,
      0.282014564299826,
      0.314989709094289,
      0.3390520995048,
      0.336434381632293,
      0.30539682625404,
      0.275541151231626,
      0.26570550837776,
      0.277563953008818,
      0.30491528470452,
      0.334389567508892,
      0.336639594948659,
      0.297817271660152,
      0.256174079621162,
      0.244348459886327,
      0.252901738700274,
      0.258706324061435,
      0.267536400645391,
      0.300325913651002,
      0.342600333039411,
      0.345477097586103,
      0.325237001536375,
      0.314236397712141,
      0.307463147729512,
      0.294145212962543,
      0.282397684885806,
      0.26902143007902,
      0.251731998770325,
      0.25648411513217,
      0.300097279366038,
      0.315843124578854,
      0.280864021794072,
      0.263005871525139,
      0.282842913069223,
      0.314323560752581,
      0.330005735733346,
      0.307013078390673,
      0.256511332293958,
      0.233655461460442,
      0.259955413398632,
      0.333855805499361,
      0.392031185102251,
      0.385179815490316,
      0.374087822982264,
      0.374106758635074,
      0.366241168570859,
      0.346401678255087,
      0.32070182187807,
      0.304092122412241,
      0.311675791937218,
      0.341565716481501,
      0.354589082415952,
      0.347561224592908,
      0.343633200877527,
      0.337462969761905,
      0.330418919311326,
      0.317821874580262,
      0.279768151498156,
      0.243521140845101,
      0.248392148842058,
      0.303997616535246,
      0.372785488595884,
      0.399981235300017,
      0.398675892522775,
      0.381532106148148,
      0.352804290174663,
      0.327577581074643,
      0.296394760924514,
      0.252634899614026,
      0.222851215607535,
      0.227731479109283,
      0.272298050194207,
      0.319616924873449,
      0.334376895307611,
      0.322056451482059,
      0.294388447719905,
      0.276902946254735,
      0.274159027763653,
      0.260579831379922,
      0.231340239145523,
      0.195125882957829,
      0.160494988977016,
      0.0369801400179319,
      0.0869577100004393,
      0.12834898213393,
      0.151058284515606,
      0.148102313504167,
      0.144730099210007,
      0.170131135938051,
      0.220975000548193,
      0.244836064201315,
      0.225204264974938,
      0.20825898715484,
      0.192429953874563,
      0.173545175914566,
      0.16519402291429,
      0.16476737890811,
      0.173550101440978,
      0.20202274298037,
      0.242198755584561,
      0.263322765338929,
      0.265902436899448,
      0.271364563739146,
      0.262551516141259,
      0.228996980987621,
      0.203207546178701,
      0.241184096440193,
      0.331635275890448,
      0.349661870377923,
      0.278239488862785,
      0.200136623605152,
      0.157291816148784,
      0.14821537681152,
      0.16172650225285,
      0.178337756088695,
      0.193443901406583,
      0.21318945469126,
      0.229111927270144,
      0.229062688951166,
      0.222585379919057,
      0.199917189785166,
      0.174109469754649,
      0.16476898324864,
      0.17584071623327,
      0.20757428625321,
      0.251145936199941,
      0.293737891779466,
      0.329062438948674,
      0.326316582116826,
      0.283091607173294,
      0.264264872377288,
      0.269427181446367,
      0.263658603290113,
      0.251101108283377,
      0.26674473120682,
      0.3113973334194,
      0.343182622503987,
      0.366397525675701,
      0.383234708067152,
      0.348200901361421,
      0.290515358359186,
      0.267121825501551,
      0.272155067386739,
      0.276816766580439,
      0.287731239848604,
      0.325199302936904,
      0.349082895488308,
      0.30499943340206,
      0.23324484379795,
      0.180889153884953,
      0.161309061448779,
      0.162726487057565,
      0.187460122779825,
      0.212159500709806,
      0.208073825425353,
      0.189168532720602,
      0.188585643671818,
      0.216805963190188,
      0.24404029688098,
      0.238736234309303,
      0.225114717170962,
      0.245271090656925,
      0.266738493088239,
      0.254406604693187,
      0.230328411855233,
      0.224147072596215,
      0.239533509919223,
      0.242498665828685,
      0.23556088674058,
      0.255599230987549,
      0.29664552520072,
      0.323194158894199,
      0.326538036786528,
      0.318955000650388,
      0.303442717214043,
      0.285016076226903,
      0.284865516719454,
      0.291064390451809,
      0.282362117051487,
      0.272691058137508,
      0.274922240098678,
      0.277539987895339,
      0.272189670256151,
      0.258782394164113,
      0.237803294960011,
      0.216079448677392,
      0.217406394495182,
      0.268407616716548,
      0.319601599272885,
      0.299726772850375,
      0.278748019952704,
      0.30217221620977,
      0.35256192847935,
      0.36818972987718,
      0.359086983887344,
      0.359362974019761,
      0.366396126498405,
      0.368059797619445,
      0.359739238291057,
      0.339505658041517,
      0.317217962480575,
      0.308889316639292,
      0.320973990982249,
      0.35076736386016,
      0.362548101734926,
      0.337078287619359,
      0.309373591575121,
      0.297717549585461,
      0.302662490262471,
      0.323266582328289,
      0.344321442400255,
      0.333593286143782,
      0.292893329150377,
      0.259506940705058,
      0.253737800500891,
      0.269621968943393,
      0.287318375514767,
      0.301335935644451,
      0.332577116453748,
      0.376896881688296,
      0.398384522515654,
      0.397620506445361,
      0.385911262524698,
      0.365061818252144,
      0.347493408649187,
      0.33810552798325,
      0.311391875328055,
      0.27232511846515,
      0.259372796877588,
      0.296476517941723,
      0.309612756214869,
      0.272482830444689,
      0.251465628301183,
      0.273145467948555,
      0.311485224481862,
      0.329193768630573,
      0.30872802778117,
      0.268857690886261,
      0.258683109663425,
      0.292864026675182,
      0.368904526076965,
      0.426568354248293,
      0.42323168626138,
      0.41369159289662,
      0.409222885345912,
      0.396263419240049,
      0.37510095347136,
      0.345172095759179,
      0.322650888737212,
      0.329862692359937,
      0.364861016795358,
      0.38738612455395,
      0.387738142871134,
      0.387009511231573,
      0.377189125432631,
      0.371204809565321,
      0.36390460048991,
      0.324038972592795,
      0.281813854962684,
      0.289098143454384,
      0.349119400053439,
      0.411973646275938,
      0.427976056607562,
      0.420298639711961,
      0.397390093929843,
      0.36816612901516,
      0.355456334849367,
      0.33298281157716,
      0.283271499075605,
      0.241638541726435,
      0.240497528841651,
      0.294848756186358,
      0.36284621829612,
      0.3924306371064,
      0.385082560647067,
      0.358231642307984,
      0.347088221901103,
      0.346571851081449,
      0.329101412644888,
      0.301948485139761,
      0.27098824477782,
      0.229644541411157,
      0.033237872840239,
      0.0850434839295067,
      0.134470532382213,
      0.162822374039167,
      0.15845333542684,
      0.147005923847534,
      0.155557810456106,
      0.191152592068222,
      0.227359135869436,
      0.249681057558377,
      0.269339909163446,
      0.260614642152831,
      0.233303781522259,
      0.220917926171253,
      0.22007984617882,
      0.220084760841002,
      0.233220302130752,
      0.25906354798955,
      0.283580273325685,
      0.297607931329785,
      0.272769004609869,
      0.206840088167085,
      0.140456158829891,
      0.122560032358599,
      0.183582813555804,
      0.300133204395543,
      0.339958456014089,
      0.263761540333344,
      0.173016412965643,
      0.130931367892005,
      0.124955919899139,
      0.135655446656876,
      0.152664690198316,
      0.180552864938647,
      0.22126985320929,
      0.25105901334045,
      0.247495587200182,
      0.226763967881191,
      0.188219876190865,
      0.162995488619948,
      0.172917634655755,
      0.213759827176246,
      0.269380168739372,
      0.313327037847063,
      0.344070137883157,
      0.372536424182258,
      0.378285111233308,
      0.336990240968381,
      0.310461492775828,
      0.305843289174238,
      0.294424017172005,
      0.27762041680565,
      0.291779492436455,
      0.334834942235455,
      0.357348059234841,
      0.365614210999177,
      0.378482839947901,
      0.356719129456497,
      0.314562406421449,
      0.308245350961808,
      0.327002046800858,
      0.326366381974804,
      0.316729538712631,
      0.341302541584396,
      0.37332530024796,
      0.343448180806665,
      0.282835298803769,
      0.237193434979553,
      0.206864079859079,
      0.179270799031273,
      0.181217266381837,
      0.201730497565013,
      0.201285416248327,
      0.184626042790204,
      0.186989613304731,
      0.231877544305539,
      0.289521961027311,
      0.302198980115285,
      0.277764744031827,
      0.269657274703283,
      0.256314185828653,
      0.2233220095428,
      0.206389516920867,
      0.223878007067173,
      0.266634713769095,
      0.289259295566787,
      0.279864667884881,
      0.279419534293828,
      0.308663051954249,
      0.337412327387691,
      0.324176326257897,
      0.29101276270869,
      0.273058766226121,
      0.267973699411923,
      0.277600862687146,
      0.29340672673457,
      0.301188547315517,
      0.292121540280914,
      0.282133110883768,
      0.28925042922113,
      0.316903938574185,
      0.323428158550088,
      0.282747973385266,
      0.238189980500845,
      0.229561918163909,
      0.263024163978376,
      0.279560053495096,
      0.254381814481546,
      0.254548791623038,
      0.30295925870072,
      0.371627623749371,
      0.39101768297674,
      0.378302134419206,
      0.381116330320604,
      0.397097969067182,
      0.397815723644003,
      0.387537899605497,
      0.377665321342041,
      0.361867197087489,
      0.340858108788571,
      0.339155738414351,
      0.376621889693452,
      0.394614557141572,
      0.367059719900406,
      0.331122327484762,
      0.307118621713138,
      0.297786602703537,
      0.311822868982598,
      0.337741521052635,
      0.343639424320032,
      0.323027074718159,
      0.298145055508767,
      0.289164370851055,
      0.300950668346356,
      0.317928297693889,
      0.327598489297713,
      0.351357409646499,
      0.393557230845494,
      0.428171605228133,
      0.435737931779265,
      0.419480112019874,
      0.40366952830756,
      0.390402751525348,
      0.364395082292371,
      0.318905054385805,
      0.284571886090873,
      0.282070662148292,
      0.30928427949066,
      0.311981628457786,
      0.280607229604618,
      0.265201564959648,
      0.278929078526883,
      0.305053768762846,
      0.326026666833086,
      0.322544339912,
      0.288273732962407,
      0.271018607924403,
      0.295487823852781,
      0.363267994122979,
      0.415690823636517,
      0.412199575242586,
      0.412881942664949,
      0.425432585558404,
      0.418068813444996,
      0.386870690575148,
      0.351417461124175,
      0.333649843776116,
      0.350799160073304,
      0.38858999401764,
      0.401977327233432,
      0.393737667475545,
      0.401817493197602,
      0.417010153232549,
      0.41920960762313,
      0.408475612605625,
      0.372757106153217,
      0.345764578865457,
      0.363412883034475,
      0.413694778726632,
      0.43859591301491,
      0.419106574543528,
      0.414209877153557,
      0.420271955821528,
      0.414047313447253,
      0.405276234769153,
      0.37211590930491,
      0.311428206265191,
      0.266108037649846,
      0.26957600284564,
      0.330916717083711,
      0.389502781430494,
      0.399419320811067,
      0.393966583116566,
      0.388625841493772,
      0.37389659656076,
      0.337973720728286,
      0.311482227871526,
      0.322322708554578,
      0.337131248634116,
      0.304909150271687,
      0.0344517979236534,
      0.0924884595101516,
      0.148834120655342,
      0.179709003958099,
      0.179542437278205,
      0.168619043818604,
      0.164063390394479,
      0.179959472826474,
      0.213304877809009,
      0.25359154998948,
      0.297552101867029,
      0.301568293767885,
      0.267556513406056,
      0.244851709010801,
      0.237716518841,
      0.218605983272194,
      0.20351274485205,
      0.210886351336004,
      0.238239441925955,
      0.257905261213626,
      0.220869940229302,
      0.149411136529808,
      0.0939182290797609,
      0.0907737110205633,
      0.148377828241246,
      0.243465496022584,
      0.282131211530693,
      0.226961389121311,
      0.15288673457801,
      0.113246948231342,
      0.0998389373074315,
      0.098874500898072,
      0.112660108680888,
      0.15331686597088,
      0.210882112143243,
      0.240636417752333,
      0.223253971078879,
      0.190610101414571,
      0.145998401714067,
      0.118807487500749,
      0.134994639349694,
      0.189089303126982,
      0.258688725189671,
      0.303711786030125,
      0.320629510457157,
      0.349809514178686,
      0.387150167363592,
      0.364030572127537,
      0.312701769204753,
      0.278966450243812,
      0.268349816189033,
      0.268125044593266,
      0.291547157829874,
      0.328410126509034,
      0.339295658481026,
      0.336254006386972,
      0.339735114414762,
      0.32385580855469,
      0.300790499498356,
      0.31112166952301,
      0.3359474352071,
      0.335386870720191,
      0.32352774393404,
      0.339115727798122,
      0.354706250184054,
      0.323026802283671,
      0.290434090517838,
      0.287325722146821,
      0.27067161449859,
      0.212462381329675,
      0.167389668729872,
      0.159689576786625,
      0.159350955571607,
      0.151652940973892,
      0.152970452336072,
      0.180965438718733,
      0.225963614027116,
      0.267945493039788,
      0.285284868914151,
      0.274589206977602,
      0.231548113452204,
      0.185127014139795,
      0.174439813324769,
      0.205114834452937,
      0.260932988827048,
      0.277668775350888,
      0.249084281465595,
      0.234210528997946,
      0.256271841043695,
      0.284449871976912,
      0.270145039688917,
      0.239486208367304,
      0.236147192947192,
      0.254254962160893,
      0.275287310218098,
      0.282801994950122,
      0.267883621492206,
      0.240058216742012,
      0.21790405106786,
      0.231017321460846,
      0.278332769995933,
      0.298445685330099,
      0.25186457638169,
      0.204100835426487,
      0.199345107108149,
      0.233279158191608,
      0.250415859144739,
      0.23148676491318,
      0.248366822869906,
      0.32046857744484,
      0.397292311856896,
      0.403889103298654,
      0.380210129024949,
      0.37147065951266,
      0.371957027198826,
      0.367360861547921,
      0.364527595694072,
      0.35996330683407,
      0.348762322242242,
      0.340169608142783,
      0.35017468487228,
      0.3772774994725,
      0.380001561742276,
      0.34514595755865,
      0.298704532601798,
      0.274907761320035,
      0.279907779529902,
      0.297913537208595,
      0.316426538357587,
      0.341848504416624,
      0.356310613546787,
      0.347489845844602,
      0.337376232974063,
      0.335612157459886,
      0.333515564411141,
      0.329450191183617,
      0.342750001691596,
      0.370400521929555,
      0.383783932640174,
      0.367436925230092,
      0.34700819650916,
      0.356832810361573,
      0.36584912168456,
      0.336417921814231,
      0.296808058421466,
      0.290861246860769,
      0.310721909075376,
      0.32403917270241,
      0.298484437165762,
      0.259985032054807,
      0.254069911640831,
      0.279888514531212,
      0.314881028908626,
      0.355063764165717,
      0.365346927323033,
      0.312150354689135,
      0.263509236363478,
      0.265259794872197,
      0.317367970942159,
      0.361035238304344,
      0.361993810940545,
      0.382409090569093,
      0.415561274875708,
      0.403470849960648,
      0.3550367123748,
      0.324016263571162,
      0.333058154655416,
      0.373035615507881,
      0.407513164540739,
      0.381849128222511,
      0.337792034974215,
      0.339848949035554,
      0.370442563555686,
      0.379332768643002,
      0.361086322264467,
      0.331386111159644,
      0.323169581919809,
      0.342411018788042,
      0.369923846479948,
      0.372885164659318,
      0.358426851062924,
      0.37714589970472,
      0.415808475024283,
      0.426105113164798,
      0.407553848899331,
      0.363077557053602,
      0.306757179321293,
      0.284976511980927,
      0.312588288131737,
      0.360312215992742,
      0.356979418933174,
      0.325527393856482,
      0.320857794723534,
      0.336922582459079,
      0.336511876562883,
      0.291128624613144,
      0.247848661480669,
      0.260311119215146,
      0.296174689594574,
      0.287402650812907,
      0.0327378276221406,
      0.0909828944045388,
      0.15122866851318,
      0.187333565943763,
      0.193239032849249,
      0.184414933294665,
      0.172627960772508,
      0.166398769086122,
      0.175332983185064,
      0.204665601674623,
      0.248828494729708,
      0.262901217515698,
      0.239151264942323,
      0.218576120474647,
      0.208305147596437,
      0.184850596788867,
      0.16104355367789,
      0.157438346957779,
      0.169931205427841,
      0.173576899741036,
      0.140845861321848,
      0.100564756710034,
      0.0800054963549758,
      0.0959246462618776,
      0.148188534709461,
      0.212448540633908,
      0.237900845039887,
      0.203392104101338,
      0.146386784530407,
      0.105167422643254,
      0.0848075778237942,
      0.0811774073059592,
      0.0939059582099948,
      0.126183077234586,
      0.172944615525723,
      0.202539245998148,
      0.186034834516126,
      0.144890486036993,
      0.1029134269411,
      0.0839231745330644,
      0.0984749787586959,
      0.138560819325718,
      0.191573179689803,
      0.240920374561914,
      0.279000153481676,
      0.316120689430019,
      0.344327600605839,
      0.322396633456211,
      0.269752869790531,
      0.223980093118414,
      0.210234558889109,
      0.223140876112465,
      0.254082772870386,
      0.289026187224224,
      0.30461608433452,
      0.301495321337165,
      0.290825154153689,
      0.272402573021836,
      0.261329862520103,
      0.275483049208038,
      0.29413384921835,
      0.293518243442256,
      0.289502683870883,
      0.309014376455839,
      0.3206381738756,
      0.290725098585848,
      0.264317061161507,
      0.273242960947333,
      0.272248701134971,
      0.221987506718105,
      0.165980210228761,
      0.135053177868068,
      0.118628617656441,
      0.110968161126008,
      0.117843760441495,
      0.141401303935442,
      0.172242098597627,
      0.207891363771946,
      0.225963034105675,
      0.205397355067809,
      0.162334732828867,
      0.140046344108311,
      0.153898171735701,
      0.188876146357208,
      0.234906829467165,
      0.253418983218422,
      0.231236397308856,
      0.21183381248273,
      0.216787606784298,
      0.233151443873979,
      0.229818556898244,
      0.221166051751556,
      0.227274125102703,
      0.250718301117597,
      0.273485278696576,
      0.276413866254928,
      0.248486788521767,
      0.210565492114579,
      0.182096698289502,
      0.185704218871434,
      0.218026367285504,
      0.238852752760103,
      0.214586702733639,
      0.193444295950669,
      0.20872177980688,
      0.253382937111159,
      0.262008088246557,
      0.232475717069165,
      0.257351890684725,
      0.343490977149738,
      0.414977589055113,
      0.395052463454863,
      0.358775440000568,
      0.352730761158346,
      0.353648689439145,
      0.348613893502469,
      0.335985238825794,
      0.316445094158232,
      0.309447960584349,
      0.33111060615313,
      0.365452739820194,
      0.376641564120805,
      0.351069860814504,
      0.300328313555888,
      0.25380717248159,
      0.245566266694873,
      0.268466176451509,
      0.284245710202209,
      0.283959271195095,
      0.301346978269414,
      0.326058843339723,
      0.331009952505862,
      0.322214692363255,
      0.308759268459828,
      0.294930126071689,
      0.28614238758487,
      0.29394925868883,
      0.320359556574631,
      0.333313007061104,
      0.31239385955663,
      0.28777505110625,
      0.289387828443738,
      0.291697988975145,
      0.270840138612414,
      0.259371301140221,
      0.276235471685759,
      0.302661223239148,
      0.307524156785586,
      0.274564396134642,
      0.238624696246583,
      0.237341686497574,
      0.263629061996121,
      0.2915806088024,
      0.331803207291177,
      0.354858345032313,
      0.307606751023646,
      0.252993010117651,
      0.245265695879691,
      0.287268797058543,
      0.325526903430548,
      0.332648082215589,
      0.356262585705203,
      0.382673707433145,
      0.36749681473713,
      0.326555979147359,
      0.301109289582603,
      0.313748552755079,
      0.360152780183817,
      0.403297743310053,
      0.379057259454493,
      0.322316303189133,
      0.300930703432978,
      0.307144765750345,
      0.306314713861757,
      0.28322268973152,
      0.258765611719113,
      0.266652508495459,
      0.2948769172303,
      0.316190908568822,
      0.318994862835371,
      0.319266960458855,
      0.337923391767059,
      0.365671058583248,
      0.374662125085997,
      0.349170049283494,
      0.296548919763749,
      0.255354412522372,
      0.267387029362557,
      0.320726843744375,
      0.359734949241451,
      0.320874836806229,
      0.265246408527259,
      0.250549893295114,
      0.262402443509331,
      0.272113825554726,
      0.244011928799223,
      0.202017788477451,
      0.192177894748041,
      0.204050558658725,
      0.195462423536313,
      0.026984854548129,
      0.0797118487800196,
      0.139803691238859,
      0.176357427656897,
      0.178271686561239,
      0.164916462013397,
      0.153598865686461,
      0.149215843809453,
      0.155546894370313,
      0.172466657427076,
      0.196701942632217,
      0.207311685676253,
      0.189759404655584,
      0.164373737513498,
      0.147767439929969,
      0.133976270872594,
      0.11982270138578,
      0.11953703999303,
      0.132597129617656,
      0.136530962533416,
      0.116357119120718,
      0.106708236044058,
      0.132287321274031,
      0.189651468143991,
      0.246543962976758,
      0.260725711182932,
      0.240725454846666,
      0.195197603196504,
      0.142271509578893,
      0.104666675385217,
      0.0838547014270623,
      0.0773976502095881,
      0.0859072356441768,
      0.109558561441256,
      0.143993505266284,
      0.168283381570508,
      0.157464829954666,
      0.125320706998973,
      0.0916444936568784,
      0.0768216498292868,
      0.0859731118228683,
      0.114958562968858,
      0.160900607308887,
      0.216288418557706,
      0.261379634046137,
      0.291062108558111,
      0.293836830887252,
      0.253865479610981,
      0.202731072746839,
      0.166865152210909,
      0.158649295564031,
      0.1712080109087,
      0.197087514225782,
      0.233555281374761,
      0.263656973130483,
      0.276591391736135,
      0.267472300499029,
      0.241906251818333,
      0.223412012025536,
      0.22767545989667,
      0.241659897043455,
      0.251027577637402,
      0.262505565716653,
      0.286498159195924,
      0.299996033444784,
      0.27290121577972,
      0.242421766283734,
      0.245581388796192,
      0.247486700723417,
      0.208626811690858,
      0.165387638854506,
      0.148624313138138,
      0.139272717123736,
      0.124607045700021,
      0.117534552699901,
      0.123395775934383,
      0.132465596400206,
      0.137041421350729,
      0.133898197731019,
      0.11936367702438,
      0.105010636666666,
      0.10713891464931,
      0.126179418701709,
      0.155728244184116,
      0.201943246433531,
      0.240308840214552,
      0.235025733390717,
      0.21696866746828,
      0.213320595595183,
      0.222041841380299,
      0.218109517517644,
      0.210649881504406,
      0.212828118521672,
      0.236095341269277,
      0.265810847815318,
      0.277685889818105,
      0.259523426167016,
      0.226929709108375,
      0.195838573516401,
      0.183573364264464,
      0.191616929816726,
      0.193504826067361,
      0.18161340791214,
      0.189553743051995,
      0.230903577328215,
      0.289794526006032,
      0.29496826080043,
      0.252199996137517,
      0.256535252780145,
      0.31777995230153,
      0.382009917797597,
      0.377376918473156,
      0.351903344574174,
      0.345957841985439,
      0.339358911685388,
      0.321128293140732,
      0.297389657392099,
      0.277155181327941,
      0.280478613363823,
      0.314798740914703,
      0.356390189955932,
      0.367118624224994,
      0.341493421942737,
      0.287925328477486,
      0.234561780356961,
      0.213059171389737,
      0.224967273424378,
      0.244301346342689,
      0.255182521203514,
      0.267865271127455,
      0.279571198806408,
      0.277921636230735,
      0.263281237979787,
      0.245547012569832,
      0.232943051774292,
      0.227137102989758,
      0.23544630743728,
      0.267302900846357,
      0.291447635918017,
      0.279400653166248,
      0.25308550485353,
      0.241897538418663,
      0.235796065217216,
      0.221475786226316,
      0.218782336131016,
      0.233595874842738,
      0.258576033001124,
      0.273760554026507,
      0.254750764847822,
      0.224872836239293,
      0.225518098571317,
      0.249103878580526,
      0.268038011649932,
      0.287719696756295,
      0.303271009749069,
      0.274343832133001,
      0.238840376937324,
      0.235697102287458,
      0.274293680325863,
      0.31065070491531,
      0.316884250751003,
      0.337665666681216,
      0.358649577585456,
      0.340760693267944,
      0.30093253912967,
      0.274228850857371,
      0.277727715048332,
      0.311553020853731,
      0.35161364386559,
      0.344671755218149,
      0.305348247166583,
      0.283082735407484,
      0.278508262004778,
      0.273210027162547,
      0.251591996936096,
      0.229016342184522,
      0.23413451869071,
      0.257602698494067,
      0.280062117339696,
      0.295370302250189,
      0.305178238294223,
      0.315923388150912,
      0.329692909562619,
      0.334180573423763,
      0.305572186168407,
      0.248826662842504,
      0.209641733760768,
      0.215480887100836,
      0.25605343838089,
      0.297061395265596,
      0.288399342537828,
      0.250926677667137,
      0.231263037789023,
      0.226277209644965,
      0.222355277422873,
      0.20117555046363,
      0.173630994620197,
      0.158712603407611,
      0.152112225266911,
      0.137225906708082,
      0.0277490701640189,
      0.0756134317474464,
      0.122845761138348,
      0.140546082943494,
      0.128142803541074,
      0.116430264485232,
      0.12062485391614,
      0.137273482953073,
      0.152376742959353,
      0.158152756266533,
      0.162907843202058,
      0.165392562942294,
      0.153574081961168,
      0.137055161333909,
      0.129325810573917,
      0.12421635438021,
      0.113018298524344,
      0.113207584435835,
      0.130916609190271,
      0.14671454646269,
      0.149554035184869,
      0.181933541431611,
      0.263065376616779,
      0.356498531809509,
      0.395468162334073,
      0.343761607740094,
      0.274994381471122,
      0.236455178187624,
      0.219477425711688,
      0.197471069646701,
      0.164943417902615,
      0.134209604969032,
      0.118267350156094,
      0.118104061880513,
      0.134684642701265,
      0.150786836678956,
      0.146065697078374,
      0.130733110359608,
      0.107625315510028,
      0.0870904888992224,
      0.0844242827343761,
      0.107601876225758,
      0.158486114382468,
      0.219833501883193,
      0.258568705812182,
      0.277532485763261,
      0.269550969324328,
      0.227990226941648,
      0.185085688285852,
      0.161312857660718,
      0.155544505271209,
      0.156699977144925,
      0.166404475272445,
      0.194893889324344,
      0.232123869098064,
      0.260339795629977,
      0.262164915246582,
      0.236164489984621,
      0.209852714190734,
      0.20282539836612,
      0.20896369043536,
      0.217335363886352,
      0.231695884621099,
      0.257353006019037,
      0.27506634399289,
      0.249174027647289,
      0.207007703405262,
      0.188172815889402,
      0.183403753634052,
      0.164822873533382,
      0.150171050800006,
      0.160425129070098,
      0.162410097875465,
      0.137191825257217,
      0.112532897063214,
      0.105422284265054,
      0.10692929041432,
      0.100339488930571,
      0.0908131450650369,
      0.0856409282174183,
      0.0884271326719305,
      0.0953684011359766,
      0.107131112179511,
      0.132566058849105,
      0.179276992731172,
      0.218610273423517,
      0.217196730790983,
      0.212691931496734,
      0.223627279914883,
      0.236629458155354,
      0.234604273269258,
      0.228947238706405,
      0.226309997503206,
      0.235673229840196,
      0.255624202469932,
      0.272024343960381,
      0.268481166670273,
      0.248811279125746,
      0.223473651267875,
      0.202614829651292,
      0.19069034575598,
      0.175699704334277,
      0.165400531286439,
      0.171558980868443,
      0.202223924309383,
      0.254779033418986,
      0.275383811533395,
      0.240413103664627,
      0.229154526382595,
      0.273029158222339,
      0.341715778807634,
      0.362216520151068,
      0.346432699026952,
      0.339450412760109,
      0.337115953186312,
      0.320344960371965,
      0.289587729495109,
      0.262564306170596,
      0.262886030765393,
      0.293344421973482,
      0.336653299964554,
      0.360782924101662,
      0.34840759770112,
      0.299970171434691,
      0.245084208827654,
      0.216752359709299,
      0.224250540704636,
      0.249336838660484,
      0.267251320870501,
      0.272544688575087,
      0.263861005731211,
      0.243955322887303,
      0.221506436670836,
      0.205358248704548,
      0.196851917567751,
      0.195949917381981,
      0.21141084478788,
      0.245983647369249,
      0.267159747541571,
      0.257907057991877,
      0.239233012741997,
      0.230749015244409,
      0.222852603208776,
      0.206442514015604,
      0.19495431729557,
      0.200089312789427,
      0.226128692790935,
      0.258020286797511,
      0.250038667600584,
      0.218502804064454,
      0.220357667540318,
      0.250312580304587,
      0.274330332367207,
      0.282295231321323,
      0.280996368037062,
      0.250258563968607,
      0.221208457871345,
      0.225020315480284,
      0.275448842713961,
      0.325343357430917,
      0.328227593053439,
      0.33650038806088,
      0.353840972152863,
      0.339441121584727,
      0.299840763509505,
      0.27061726663103,
      0.264447587760717,
      0.28051745969649,
      0.307096846009761,
      0.310365238446209,
      0.292549674567922,
      0.282446397089173,
      0.281088888645717,
      0.275131587956521,
      0.25720562027815,
      0.232338356073059,
      0.222761045770223,
      0.234353327697262,
      0.262742071657292,
      0.292277737066255,
      0.302962302117638,
      0.30702441154328,
      0.312745129307094,
      0.310244838287993,
      0.282516196877901,
      0.235895598827128,
      0.200635685244609,
      0.197691401227658,
      0.22670914968244,
      0.269970020425883,
      0.282977936807162,
      0.26518953372052,
      0.247792224299369,
      0.227956909399318,
      0.208220272134425,
      0.19367482673857,
      0.181383275485713,
      0.167954953055124,
      0.150996848308142,
      0.128162601693418,
      0.0273430617174122,
      0.0701413053513856,
      0.107346823932617,
      0.119207083658553,
      0.107409832652106,
      0.10212839273311,
      0.116620246289851,
      0.147340506303419,
      0.16757349508278,
      0.1612959857491,
      0.150662026048534,
      0.149036838222659,
      0.14441517372775,
      0.138689295144369,
      0.145134568347465,
      0.151274300878679,
      0.147682371500121,
      0.154261291069639,
      0.174212750799498,
      0.195242179716663,
      0.222454200879688,
      0.270938571894978,
      0.318314950049792,
      0.344724525860345,
      0.351639145572276,
      0.343206874694127,
      0.308097270849049,
      0.319107181942639,
      0.369026487147349,
      0.375209777808107,
      0.34807880325977,
      0.301936156652836,
      0.242963138017112,
      0.181252325580115,
      0.164220961656609,
      0.17145148255567,
      0.172003763894684,
      0.186474136184276,
      0.18762168034594,
      0.15763188858647,
      0.12605365953696,
      0.121074786739485,
      0.159143436682299,
      0.222334238844473,
      0.261231818734401,
      0.278992309203764,
      0.265820737776786,
      0.227362970070482,
      0.1995205363304,
      0.190647514350385,
      0.185096972500948,
      0.17703064665735,
      0.178798968504723,
      0.207348346708268,
      0.253225935007795,
      0.28857789543705,
      0.28867325296716,
      0.252235962864952,
      0.218761252329123,
      0.213144952599848,
      0.223640742330976,
      0.2249950335753,
      0.225265629313097,
      0.246378439411848,
      0.268157703287436,
      0.244934122169621,
      0.194866551690082,
      0.154535790568746,
      0.135095101942302,
      0.133586339282978,
      0.164170070037475,
      0.21762465063239,
      0.234295023395359,
      0.195834375928364,
      0.152873574970569,
      0.136067463094383,
      0.1337205492935,
      0.125743101888993,
      0.11224715193764,
      0.103990819301454,
      0.101727137858348,
      0.101818615272434,
      0.107080594290932,
      0.130267012143815,
      0.1750110296616,
      0.205137517406053,
      0.19727202908035,
      0.199113486304476,
      0.223662322386946,
      0.249241309903631,
      0.281694866207464,
      0.310279923518335,
      0.304518468220373,
      0.278944771387892,
      0.267548472720961,
      0.274334127859288,
      0.272860867982873,
      0.259229685935405,
      0.234385155135514,
      0.207813703773402,
      0.191309969080868,
      0.175596478785893,
      0.157972221374247,
      0.154992366673891,
      0.182398022044779,
      0.247608942388319,
      0.296680289102417,
      0.267319663416818,
      0.241372565487337,
      0.269907784824857,
      0.331570625654039,
      0.350698947663694,
      0.334971378054487,
      0.331493673968639,
      0.342825983412738,
      0.341710540781218,
      0.310517312857554,
      0.269587610189504,
      0.257960951034053,
      0.281472519694241,
      0.321669401712594,
      0.34729892413106,
      0.333669285792823,
      0.289457745418932,
      0.253464544783727,
      0.235959566194537,
      0.238705937927245,
      0.260656959824063,
      0.28835291253027,
      0.291131584005516,
      0.261434908210202,
      0.226016141555093,
      0.205896525767569,
      0.203101055776224,
      0.203934428254823,
      0.208590076963988,
      0.234397064941521,
      0.277940082853829,
      0.294636666542368,
      0.278516703199327,
      0.260142579822701,
      0.251087955680056,
      0.238959113693427,
      0.222702237178073,
      0.210228183733918,
      0.208729242719036,
      0.226694924539769,
      0.26272728524949,
      0.261136188018831,
      0.221471432212126,
      0.2110698043003,
      0.241105390811848,
      0.280369471314747,
      0.29732585482228,
      0.28421716931438,
      0.242917718317531,
      0.218392053621797,
      0.239174873978986,
      0.313759311127496,
      0.376949478928191,
      0.364489664318572,
      0.352209147074821,
      0.365177422604181,
      0.356348402044606,
      0.314916278744007,
      0.276824622776496,
      0.263023856057808,
      0.275923753887232,
      0.305492419897167,
      0.319448969871577,
      0.311190273004672,
      0.301520760519546,
      0.29404128459987,
      0.292070470115656,
      0.293926950957378,
      0.272936351713384,
      0.241908160638388,
      0.233260649758814,
      0.263891847393805,
      0.309100697284016,
      0.325108161964939,
      0.322171528907286,
      0.316893577369401,
      0.308160264367378,
      0.28863035320942,
      0.256627312844904,
      0.221120003522325,
      0.203884514561715,
      0.21626242268508,
      0.255894848823307,
      0.284671137805514,
      0.287401722832627,
      0.274741348346552,
      0.243390008552611,
      0.220230965029612,
      0.227709078690557,
      0.233017078462788,
      0.209562426994434,
      0.16836201480458,
      0.130135817688273,
      0.0240155478572574,
      0.0639606775721893,
      0.100541826720864,
      0.121005767627584,
      0.119648982657897,
      0.116121496467293,
      0.137832280891825,
      0.194125107768658,
      0.235972513961516,
      0.217846202976105,
      0.184274873347382,
      0.173858237105733,
      0.17770544322647,
      0.191677807017959,
      0.207682510795908,
      0.214295789677299,
      0.226981574886131,
      0.254106304729621,
      0.272634601500533,
      0.280121655317881,
      0.299391610164311,
      0.299569428291308,
      0.261517844023162,
      0.22395313420197,
      0.248088891693317,
      0.328752307428535,
      0.347631575904308,
      0.314467507725156,
      0.284193872021334,
      0.272554219341372,
      0.314587241039614,
      0.358706659583399,
      0.337497337275428,
      0.260468958538336,
      0.221882472349926,
      0.234030764063147,
      0.26654396297598,
      0.340988679315777,
      0.37150562330792,
      0.320224197259778,
      0.247577179205577,
      0.201935972885724,
      0.209246326493589,
      0.253777720192954,
      0.290342685977307,
      0.312704818605501,
      0.297726508073412,
      0.254760166534231,
      0.242344010259528,
      0.254319547756806,
      0.248333223970314,
      0.229098185647341,
      0.23347904510444,
      0.273804223505482,
      0.319613051074032,
      0.3496559277585,
      0.348422894323781,
      0.298120199553804,
      0.246204272244259,
      0.235628092172441,
      0.253325417835185,
      0.254191760982407,
      0.24385748616009,
      0.268566262636257,
      0.309904134511305,
      0.297163866184453,
      0.241987387246541,
      0.192874285914978,
      0.166854576945477,
      0.178590816061812,
      0.273600717383767,
      0.403603969666056,
      0.445932922953226,
      0.380460897469821,
      0.304702697871106,
      0.265905369844269,
      0.236209566820543,
      0.206548571247676,
      0.190274715084985,
      0.205590419388308,
      0.220128853239851,
      0.206962765434477,
      0.183815493645437,
      0.185140204804527,
      0.221758054451399,
      0.240910065945226,
      0.228846815452119,
      0.232800276197325,
      0.257893075606957,
      0.287521963256733,
      0.343683987859672,
      0.392349073496916,
      0.390338150930615,
      0.372184371031027,
      0.377734168262741,
      0.374351888935435,
      0.33378428530825,
      0.298682680531738,
      0.272228599573639,
      0.252848294509641,
      0.25546348583724,
      0.266176570888127,
      0.238958857348149,
      0.210018272686912,
      0.232546482392706,
      0.329107944467778,
      0.411946888638942,
      0.368762118618108,
      0.308071446450044,
      0.302271880422854,
      0.346520296031643,
      0.369339970213803,
      0.359363135182316,
      0.354210196973265,
      0.359776278842607,
      0.358347221204918,
      0.333168280708834,
      0.299019507256389,
      0.288723093951329,
      0.301247997731512,
      0.321302595842694,
      0.34061364043109,
      0.337715260657452,
      0.30880208021322,
      0.289039156126072,
      0.281951395006748,
      0.287830404557722,
      0.312907665647651,
      0.343477633402953,
      0.327057104784179,
      0.271066451644583,
      0.227017439468503,
      0.220352632473421,
      0.237812801178221,
      0.253075485232514,
      0.266464304712395,
      0.303475882454178,
      0.35857097620867,
      0.375122446817242,
      0.35111550849867,
      0.319630437039836,
      0.291778021652409,
      0.273895479977145,
      0.283979766067868,
      0.289272302040688,
      0.271077012798031,
      0.261403869921964,
      0.302945968665673,
      0.31483290914446,
      0.2542393881955,
      0.216740720754625,
      0.241735567906169,
      0.295932593184317,
      0.318780467246227,
      0.292985017752293,
      0.245302335604226,
      0.231869345689859,
      0.274229217811387,
      0.367980054665111,
      0.432509176897892,
      0.406513332589211,
      0.381125165311677,
      0.383008877883873,
      0.377744435903278,
      0.345513047284339,
      0.302966335083629,
      0.27857553347533,
      0.287936395361754,
      0.323802120240202,
      0.349855778373689,
      0.353156588784209,
      0.34355690930716,
      0.323378160530897,
      0.32938864933784,
      0.359665040317589,
      0.339042130744262,
      0.278534907250593,
      0.253047473257491,
      0.296194790818832,
      0.363721963075604,
      0.387582382789381,
      0.374264567167959,
      0.345094506780426,
      0.318611884121564,
      0.31443973395378,
      0.304508776705157,
      0.261133326774109,
      0.217006531036824,
      0.209410032913178,
      0.258190099063567,
      0.326531172477136,
      0.360975778472582,
      0.345961771560556,
      0.298875076611537,
      0.285672978860547,
      0.322033982170827,
      0.336530008289785,
      0.298556531461229,
      0.235378519273471,
      0.179511029525662,
      0.0235413942026057,
      0.0692712699599074,
      0.121429944104019,
      0.167236919900672,
      0.183596756216299,
      0.197850867762779,
      0.251946774867327,
      0.337874939203314,
      0.372293104677952,
      0.330699532341052,
      0.288883387213067,
      0.267579810730511,
      0.281274498634075,
      0.331810379761933,
      0.347412407651305,
      0.314664518220763,
      0.321431195695134,
      0.370932236319916,
      0.402988757981679,
      0.392788034862992,
      0.352214648475793,
      0.263797513450903,
      0.172213657296333,
      0.140367662146276,
      0.196807841267916,
      0.311158479315699,
      0.356710484789135,
      0.294100959896093,
      0.203798233712995,
      0.153395612742654,
      0.169771351515867,
      0.226543009799727,
      0.283898906685259,
      0.333694327748414,
      0.371550943809844,
      0.395709155475321,
      0.403074607824643,
      0.397556082921624,
      0.356125508403075,
      0.313866129011501,
      0.294525835539013,
      0.294477136603594,
      0.325421346742055,
      0.365478925563104,
      0.405589533529555,
      0.437021158931984,
      0.410020835618393,
      0.340320538467588,
      0.347603218641187,
      0.397755246014591,
      0.395566423106824,
      0.361659604225108,
      0.371851589810866,
      0.420157449872221,
      0.435255936271203,
      0.436122623928515,
      0.438085974558421,
      0.38079673558564,
      0.310240144113775,
      0.302084489539884,
      0.33033367204789,
      0.31906263866718,
      0.291949662788125,
      0.318804449100796,
      0.37218475908123,
      0.369140385062334,
      0.315228977890862,
      0.264398202369617,
      0.255970058341826,
      0.282645295707651,
      0.328659133595103,
      0.361089482929155,
      0.341776931871986,
      0.306631279521734,
      0.309183411149216,
      0.360545445315451,
      0.393822454588472,
      0.370473403456887,
      0.352311717267833,
      0.389067695170253,
      0.410143987993403,
      0.37854370098272,
      0.346906279812559,
      0.355752822521418,
      0.388632578792779,
      0.364439806623713,
      0.323339169659229,
      0.331224411816514,
      0.364708411721509,
      0.383685841719649,
      0.381235610672896,
      0.367114118519486,
      0.348832591786308,
      0.367529675759433,
      0.429941210282624,
      0.45609441713309,
      0.406687641509982,
      0.368823347801086,
      0.359007078001359,
      0.362767081072305,
      0.390340984876465,
      0.431584774497371,
      0.394884209441451,
      0.335803185085393,
      0.344005296892244,
      0.423847475671253,
      0.436326478949637,
      0.345110577674443,
      0.292461514114586,
      0.303809505238703,
      0.357614595604135,
      0.387431553047424,
      0.386936013322289,
      0.391317698079401,
      0.396311368233456,
      0.38641960352828,
      0.3631816429106,
      0.346250242544527,
      0.341509604625493,
      0.33673742285186,
      0.337781294179256,
      0.368167040523375,
      0.396543887589079,
      0.389997370268022,
      0.366103308541284,
      0.353171515693585,
      0.368765553388049,
      0.404569214681641,
      0.418999599750697,
      0.372841821205076,
      0.303038873884878,
      0.265346335859571,
      0.285911664612396,
      0.334895998454976,
      0.365638327341094,
      0.376415726501385,
      0.400816078156992,
      0.446148146312537,
      0.463161506578416,
      0.440090491732028,
      0.403431291180194,
      0.376765662411636,
      0.367345066712652,
      0.375765498239883,
      0.362371984328939,
      0.328904654311002,
      0.325846699076586,
      0.387328092941581,
      0.394184323178782,
      0.307203940483981,
      0.25504183892724,
      0.287649806460193,
      0.357736812852531,
      0.383915708215659,
      0.347974026328498,
      0.289608763227553,
      0.269123163094052,
      0.30723319981214,
      0.397284755759875,
      0.453327464883259,
      0.426082356245268,
      0.402588406577129,
      0.407778955668183,
      0.415896718126019,
      0.400001992310778,
      0.356191035375503,
      0.318205357855535,
      0.325446032960744,
      0.373323557343646,
      0.404994183995549,
      0.410567288234271,
      0.4132107995178,
      0.398151875372577,
      0.397186613616155,
      0.422040655886376,
      0.396828970109872,
      0.333643123694136,
      0.315232219930015,
      0.363661245746995,
      0.422840902160894,
      0.443401144317359,
      0.443243538836328,
      0.411408041122092,
      0.365074856105277,
      0.379370998974591,
      0.402819629007206,
      0.346949082355624,
      0.266680736812747,
      0.243309714393241,
      0.312945585727812,
      0.404169069772924,
      0.440092021229121,
      0.428300183359199,
      0.398787049528035,
      0.38469638703916,
      0.381886281301662,
      0.366131119255113,
      0.344301098041999,
      0.319920022226979,
      0.276970523407344,
      0.0323169046668164,
      0.10780991564738,
      0.21908474111125,
      0.324910287979401,
      0.344991036114651,
      0.339669831484833,
      0.372400611325354,
      0.416869323156185,
      0.397112620563469,
      0.357798861311277,
      0.373133553605463,
      0.381467398731715,
      0.394089137698679,
      0.432699712921481,
      0.418636168135897,
      0.334370805976076,
      0.303625336709254,
      0.340517335739331,
      0.373945484574803,
      0.354977073856512,
      0.283193698332359,
      0.178340588874524,
      0.102357688569566,
      0.0938778868569741,
      0.151905528408942,
      0.239407361669256,
      0.263855196383944,
      0.224397259343175,
      0.167469974164537,
      0.120641571406269,
      0.0956201917288804,
      0.102087713177089,
      0.161525862321245,
      0.288911867682801,
      0.417810010979224,
      0.448826405295592,
      0.387317701845551,
      0.295590763746358,
      0.194703823090159,
      0.167543157072584,
      0.225674645630459,
      0.328796685021794,
      0.432566225692955,
      0.456015048758126,
      0.423694105710035,
      0.428353229590633,
      0.442297155011525,
      0.409442791338508,
      0.404900496691204,
      0.419477051135044,
      0.391223541745035,
      0.368522949039504,
      0.413201405765877,
      0.471165968247102,
      0.439016598516425,
      0.390006957537843,
      0.395719489227838,
      0.386064036640345,
      0.368944635507378,
      0.423317504266772,
      0.48448333210113,
      0.448126250597769,
      0.388838783178661,
      0.407761684998613,
      0.443763537438077,
      0.42051674612998,
      0.369496626170281,
      0.344731387556571,
      0.344912860820723,
      0.312623384058296,
      0.245354063355065,
      0.182561572003842,
      0.148891346897932,
      0.151050935530002,
      0.199428572997524,
      0.307052129383634,
      0.410836208317346,
      0.430281724243803,
      0.400880988211838,
      0.385326733770611,
      0.358461731733844,
      0.330641583762234,
      0.339148166145218,
      0.386791002744647,
      0.443691542576522,
      0.430373233447929,
      0.373879923287996,
      0.350527907484896,
      0.362408860836863,
      0.370704974663845,
      0.335554475875031,
      0.285331556828948,
      0.254082495432576,
      0.267583110575283,
      0.319394493475835,
      0.353440490454256,
      0.331581272989065,
      0.319351611323325,
      0.330253099387445,
      0.345683387056861,
      0.36532130896068,
      0.386588631428892,
      0.353419021734771,
      0.309002045387805,
      0.310541493288171,
      0.348951110118602,
      0.326699676316715,
      0.262827748978055,
      0.26601869147284,
      0.329182374352118,
      0.399310546261769,
      0.401935781917724,
      0.376566900950871,
      0.369492744471576,
      0.378467011274844,
      0.383735529096574,
      0.378695820662053,
      0.373451987841869,
      0.365559960066434,
      0.349697680031805,
      0.347584714344423,
      0.386846938440586,
      0.411071267791107,
      0.390476476712468,
      0.35846596076684,
      0.36227983641657,
      0.393669141755147,
      0.406546643914586,
      0.377434775827315,
      0.355315467110318,
      0.355377525584759,
      0.360545191011994,
      0.390731846064276,
      0.433040072039579,
      0.442874859569234,
      0.437304073168787,
      0.445895076263616,
      0.446525184728278,
      0.417329298258567,
      0.397850708120919,
      0.394775374429712,
      0.410471763108524,
      0.422900972927492,
      0.391167488427502,
      0.333521431601585,
      0.318318731357941,
      0.378884288087171,
      0.456911627165247,
      0.44393251159773,
      0.367829535367372,
      0.339881768211227,
      0.375467273943278,
      0.428413540541804,
      0.447718926769371,
      0.423042396099158,
      0.362802250585542,
      0.314100711642832,
      0.313507553356089,
      0.361689276433873,
      0.388222425079999,
      0.375659324283233,
      0.394646648852402,
      0.430159582279555,
      0.427162783583008,
      0.400803615931444,
      0.371043680626372,
      0.362322566838751,
      0.399692099979817,
      0.453525258126779,
      0.433288234827432,
      0.383574985196037,
      0.396039288349386,
      0.43124180671684,
      0.442069734400566,
      0.437880086257291,
      0.404326925439309,
      0.364846766407043,
      0.358554535662098,
      0.382332929893431,
      0.385258480188261,
      0.367526538499296,
      0.385947230578379,
      0.415932654824125,
      0.417273839231664,
      0.424309321562594,
      0.420167954922087,
      0.364643665089142,
      0.317872871965563,
      0.33031701494291,
      0.386526576548435,
      0.399582011322163,
      0.377183024180271,
      0.379637945653054,
      0.412229088023359,
      0.419165770859676,
      0.357851149663389,
      0.292813924145585,
      0.294853519625128,
      0.328595022688375,
      0.313324597508811,
      0.0441391439333518,
      0.146502472752296,
      0.285004824917127,
      0.378511591490827,
      0.347627829768197,
      0.279272669996183,
      0.241009241315813,
      0.224970294711289,
      0.207579274873486,
      0.219236838254415,
      0.273072622635539,
      0.30660278482552,
      0.310133320460221,
      0.302859024210885,
      0.267927758408053,
      0.206890492876517,
      0.181122224188786,
      0.20379090216238,
      0.232199807701619,
      0.220711541751573,
      0.166420821326446,
      0.107109701813501,
      0.0740004310402887,
      0.0819052028885985,
      0.130357584154766,
      0.187071573774357,
      0.191234926861151,
      0.164767313206452,
      0.13919903876918,
      0.11310191397124,
      0.0876188274113124,
      0.0784149794168817,
      0.102168541994228,
      0.165129887113413,
      0.237134242212168,
      0.265615084787664,
      0.235087138943909,
      0.175704161337062,
      0.110105095864466,
      0.0853062061222361,
      0.119227502714121,
      0.194279655958809,
      0.281785451615995,
      0.321178047650284,
      0.31396648943394,
      0.338903076554177,
      0.381773219392588,
      0.356022287363699,
      0.298897202210806,
      0.263408837158127,
      0.23894069826343,
      0.229151695396807,
      0.255991713449004,
      0.302355214241638,
      0.309522608009379,
      0.295777909363976,
      0.301444955843352,
      0.311463901182799,
      0.32794206477738,
      0.377430424089893,
      0.40877333714003,
      0.391239790524169,
      0.385103654904855,
      0.41515268296068,
      0.404764281297752,
      0.33845006743742,
      0.301978310767417,
      0.317696548230172,
      0.326410202289103,
      0.270907315574857,
      0.193175976704755,
      0.141786193172717,
      0.123611532445152,
      0.120103280196156,
      0.134176394070309,
      0.171005379099305,
      0.210964383079906,
      0.235032930148417,
      0.239818197698569,
      0.219200222404938,
      0.177489471886391,
      0.15306434285657,
      0.166578366086832,
      0.210037091914439,
      0.267828372446069,
      0.290148275068798,
      0.272469426771062,
      0.260279422944511,
      0.269381055110488,
      0.27838680117016,
      0.259602458610114,
      0.22776623837448,
      0.211761650949822,
      0.224597876415342,
      0.252256723785865,
      0.261217173939145,
      0.23767735480124,
      0.223689593017243,
      0.226258628364435,
      0.228053824890854,
      0.230767230430785,
      0.240243573450089,
      0.230676701033291,
      0.210783684489054,
      0.211204420261455,
      0.249322106355587,
      0.273461447168078,
      0.257429417053453,
      0.278692729360985,
      0.359890340682221,
      0.43106291451756,
      0.40757848856614,
      0.359621890249342,
      0.34042198792107,
      0.339007261682381,
      0.34238727877934,
      0.34031146768403,
      0.331169020230133,
      0.325797043809162,
      0.339902222130053,
      0.369348964291514,
      0.3885231160265,
      0.362155409353468,
      0.3033101804524,
      0.257504255308292,
      0.250518618900301,
      0.268335826019213,
      0.27951979206617,
      0.291462420520676,
      0.341936690645561,
      0.390688023578794,
      0.393068442978588,
      0.378312896473221,
      0.36663975200556,
      0.341615252085674,
      0.324635944979791,
      0.333747309433494,
      0.340252903796559,
      0.320314462087555,
      0.305818259632867,
      0.303744322834193,
      0.319058566802645,
      0.325282832635175,
      0.290333117180514,
      0.24859673057591,
      0.255277641796458,
      0.317080797227872,
      0.37315814304162,
      0.361422447978495,
      0.327267545014639,
      0.334210888034855,
      0.365144824178289,
      0.383730468269335,
      0.394367961462039,
      0.401829940732247,
      0.357942082486666,
      0.292776512946128,
      0.265664765030778,
      0.293599577996417,
      0.32774012580027,
      0.343092995272557,
      0.377993688679818,
      0.405796604499487,
      0.384526748434179,
      0.346647030339767,
      0.327299401330857,
      0.346283363301654,
      0.398026379074482,
      0.428471420291578,
      0.372238772151739,
      0.307677131718459,
      0.318793581076895,
      0.3608984687142,
      0.36704973741633,
      0.326951999461961,
      0.28129642671213,
      0.270693472809725,
      0.289985925942223,
      0.314567661144522,
      0.317124762389246,
      0.310855697583675,
      0.333673011319494,
      0.377981834642675,
      0.399407567257961,
      0.376807484552084,
      0.324693538449565,
      0.288226953781752,
      0.311738297313141,
      0.377721271701882,
      0.412323701668949,
      0.344168952446841,
      0.273588698938785,
      0.270830324048874,
      0.308430244396443,
      0.332137212367011,
      0.286881905948374,
      0.219930075627067,
      0.204301578725109,
      0.22635974301897,
      0.224475186007932,
      0.0431385840878037,
      0.131668021413193,
      0.227344972557162,
      0.261436677761477,
      0.214050535609486,
      0.161588278245292,
      0.137567460912587,
      0.131079592607378,
      0.134182411587837,
      0.152393413753961,
      0.187919960155074,
      0.212671431726722,
      0.211348570252651,
      0.194080368471726,
      0.166131533939271,
      0.133084024619834,
      0.115839867893964,
      0.127214312809414,
      0.146125845883886,
      0.136804905781104,
      0.104208473285554,
      0.0861054130579208,
      0.0962978033509437,
      0.132973835670275,
      0.18014196681853,
      0.202733364499652,
      0.185596507302996,
      0.153194067786722,
      0.128685996802301,
      0.110268754710075,
      0.0895087379119005,
      0.0806935242216432,
      0.0943127332763061,
      0.126930850396633,
      0.16170805215329,
      0.181898529876198,
      0.168407669127885,
      0.1288943698579,
      0.085667685053196,
      0.0629859262014579,
      0.0713960891920697,
      0.108286156018503,
      0.168124368628054,
      0.22319932150752,
      0.250469186613985,
      0.280112532321563,
      0.307916840063334,
      0.283611341541351,
      0.226998582985055,
      0.181479413361999,
      0.159014617144916,
      0.156805065094124,
      0.175134088621656,
      0.210265365856125,
      0.236952529314682,
      0.24808725714525,
      0.256841926693488,
      0.257797563315409,
      0.25582068803473,
      0.266942396956708,
      0.274533600723763,
      0.268149618436828,
      0.269916248529287,
      0.289913025802155,
      0.28763759246461,
      0.245763392692269,
      0.22015472517022,
      0.230909938148654,
      0.229743139153194,
      0.189771926425304,
      0.151523095621753,
      0.142336860586612,
      0.142996216156263,
      0.131064463497531,
      0.117889741232471,
      0.114178284001429,
      0.11424547183162,
      0.111859423831112,
      0.113224765582673,
      0.113324371606904,
      0.103553524612952,
      0.0932655693549177,
      0.0967411898253922,
      0.122062482859915,
      0.167351174230359,
      0.199508369998708,
      0.204352073592261,
      0.208477642026704,
      0.216215659321543,
      0.215183309205615,
      0.199409497859374,
      0.17896103804856,
      0.177446755174023,
      0.204704260728069,
      0.240241926137419,
      0.249027832075454,
      0.230904558609148,
      0.208991620412226,
      0.191242363121895,
      0.178323223242328,
      0.18483899921647,
      0.207618960968094,
      0.208007939068364,
      0.191947070940575,
      0.198836371073238,
      0.257765778794118,
      0.305669673133643,
      0.283539031488409,
      0.279957702079867,
      0.342706141509158,
      0.408710847637404,
      0.383237420296404,
      0.329944087791169,
      0.314630305738223,
      0.321385575952383,
      0.327779006128498,
      0.316486457286644,
      0.300133297414724,
      0.313944806344464,
      0.359644619646425,
      0.395198360204883,
      0.381073826147542,
      0.327827787648466,
      0.267790383601726,
      0.224426583741957,
      0.205979262064399,
      0.207429696086175,
      0.217663257219166,
      0.243929488560601,
      0.285977689423827,
      0.30880337208957,
      0.295448512882489,
      0.275809106624056,
      0.259855954695696,
      0.238579583356588,
      0.221232408130546,
      0.227617928673409,
      0.250311288609609,
      0.257464917663537,
      0.249472964031865,
      0.243230041246421,
      0.253751122497747,
      0.259021949749323,
      0.236289731715565,
      0.208770756545846,
      0.202656868423084,
      0.221412343371186,
      0.252503304584666,
      0.264267890654087,
      0.251886244705524,
      0.255067731930754,
      0.273528078646359,
      0.284693589015697,
      0.306974398708521,
      0.339320238463079,
      0.306699573922444,
      0.247770992938987,
      0.228472382552384,
      0.26631283720209,
      0.306573574000304,
      0.318740410104867,
      0.341212980708671,
      0.354842238282309,
      0.334587984288617,
      0.30528191430921,
      0.281373787852017,
      0.279711280545987,
      0.308439803400448,
      0.339294477333218,
      0.314283391237777,
      0.270453278411128,
      0.271198122823029,
      0.295746957441166,
      0.298906806678503,
      0.265682866292479,
      0.226764646742983,
      0.218118107255794,
      0.239674727145615,
      0.271477824757974,
      0.289059235222835,
      0.293943315759973,
      0.311953350832657,
      0.335382273721848,
      0.337498497407816,
      0.302373854932214,
      0.250239558862603,
      0.224443290125761,
      0.25023441933434,
      0.306636321473981,
      0.339467884941,
      0.292087588833938,
      0.236137794069948,
      0.225364362788468,
      0.234403274046495,
      0.236360648221587,
      0.208697108987584,
      0.170993432464077,
      0.150848049332286,
      0.147000675711591,
      0.138060156936347,
      0.0311234903204201,
      0.0897074994646884,
      0.145088877302351,
      0.159753291117047,
      0.134400550249534,
      0.11209569623361,
      0.109227784983531,
      0.120001537888581,
      0.136630919143056,
      0.156040938105802,
      0.178840740733369,
      0.186597320723195,
      0.170118731561631,
      0.151491870685446,
      0.136300852769219,
      0.118454476609276,
      0.105266210638702,
      0.114878250625422,
      0.132745868324392,
      0.127459844364173,
      0.113995072907994,
      0.135050772289599,
      0.198616849087734,
      0.277737433496585,
      0.319200959772802,
      0.282565968513018,
      0.22614138522724,
      0.182599446452651,
      0.15247691650981,
      0.129225335485163,
      0.107534848410031,
      0.0971062884846873,
      0.102511959364629,
      0.11674154588902,
      0.131345836841578,
      0.139738079882544,
      0.136258333515311,
      0.121953590961342,
      0.096518733042137,
      0.0744867170538906,
      0.0710279567450462,
      0.090916807142551,
      0.135066412241058,
      0.188672702837028,
      0.227473552816043,
      0.260825103003649,
      0.281111297624555,
      0.251957170849054,
      0.198173607468359,
      0.154804972043486,
      0.135014954415844,
      0.132884849176843,
      0.145183172827498,
      0.174641355820458,
      0.208042804871624,
      0.233911910946462,
      0.246987242573859,
      0.237392452634376,
      0.218389828893879,
      0.210896694188331,
      0.211248066019701,
      0.21065748007368,
      0.214458704488925,
      0.228584666940493,
      0.237420900550001,
      0.215852223778081,
      0.187982937928346,
      0.180597465802758,
      0.171659433304946,
      0.152122134629455,
      0.150697188845326,
      0.167009861330183,
      0.159528530753204,
      0.125957493931191,
      0.101899110709696,
      0.0975162326376809,
      0.0998822159513117,
      0.0922819857330178,
      0.0817409362556304,
      0.0795746634913906,
      0.0812677397828113,
      0.0812799354509737,
      0.0900637800882521,
      0.121003861591187,
      0.167313675783477,
      0.18729636269804,
      0.18033283328173,
      0.184558219974069,
      0.19870939122817,
      0.207362592463628,
      0.197221046361771,
      0.175922821079394,
      0.168300542566002,
      0.187501430180738,
      0.224916822579224,
      0.249469039216911,
      0.24393366645055,
      0.216873591849972,
      0.192938250152267,
      0.179890533617081,
      0.184072452098452,
      0.193890533361304,
      0.182638728767369,
      0.161535417144739,
      0.166113222461783,
      0.22544057586369,
      0.282498572394034,
      0.263772489630381,
      0.244460881656905,
      0.282140529592666,
      0.340314360678615,
      0.336722315886263,
      0.302280913082496,
      0.296028438029954,
      0.306612189062468,
      0.308213400864715,
      0.288953836379757,
      0.268320697448768,
      0.286631978189192,
      0.332903551760255,
      0.360037205283745,
      0.340338952483197,
      0.302199940040383,
      0.261072720473837,
      0.222184293569189,
      0.196686991087,
      0.191546333027117,
      0.204589148401953,
      0.230915449433993,
      0.255191309382485,
      0.259072656132618,
      0.242522976060226,
      0.222943310513316,
      0.205063540147462,
      0.192518602533539,
      0.188250953892666,
      0.201957649514193,
      0.229409380322061,
      0.239964863869386,
      0.228323765278523,
      0.22253225425046,
      0.231968743123593,
      0.234349075761075,
      0.216125985655835,
      0.196082454816281,
      0.190458541999783,
      0.207781106913467,
      0.243126453641714,
      0.252855666930227,
      0.230889939132643,
      0.225046410738182,
      0.237319719070591,
      0.24653027627769,
      0.263749762916674,
      0.281504838972204,
      0.247536796221872,
      0.204874308936728,
      0.204287965066138,
      0.25803660811212,
      0.305446514889901,
      0.301370707868355,
      0.302266519331585,
      0.314913416526559,
      0.306773005468387,
      0.283283811521151,
      0.259400739809136,
      0.248961243230701,
      0.263744238424771,
      0.296733407984659,
      0.294215509305767,
      0.261067909958196,
      0.249875950889345,
      0.26438422975496,
      0.271178737419399,
      0.250170114798394,
      0.217247417998078,
      0.203594436841011,
      0.215538357575802,
      0.241255570558817,
      0.262592683619328,
      0.273866690990637,
      0.291679752287142,
      0.308330278719652,
      0.306224344223127,
      0.276576818391707,
      0.235433199183962,
      0.204014089487476,
      0.195654526490802,
      0.213321120317851,
      0.245801939038862,
      0.253234509584262,
      0.23343430896785,
      0.216749963882609,
      0.204270348066762,
      0.190697080344368,
      0.172826330022139,
      0.156624540963622,
      0.144711901214345,
      0.132856616458248,
      0.11472343826105,
      0.0253082701879675,
      0.0687916443549777,
      0.109894581913366,
      0.133114139379588,
      0.12665526969203,
      0.106876129979461,
      0.0976344176997495,
      0.119618368376993,
      0.158221820632694,
      0.180384713425054,
      0.184989312175874,
      0.175839678101347,
      0.152324516593033,
      0.1324814909241,
      0.125449727181774,
      0.12112736497784,
      0.113881638018991,
      0.118400371899831,
      0.132189893669975,
      0.14490392867956,
      0.168225978092427,
      0.21550883786214,
      0.276173957782715,
      0.329022685884114,
      0.349120443043101,
      0.317037951303045,
      0.264341385302031,
      0.20816106363625,
      0.175026961506055,
      0.155628715106654,
      0.140566005586432,
      0.130289055314815,
      0.123769719885785,
      0.122557932038251,
      0.131427952604825,
      0.138919251783608,
      0.140316496219244,
      0.146506990847056,
      0.136436278745937,
      0.112731725322865,
      0.0984610484404864,
      0.104623725332543,
      0.137431460581213,
      0.191028130919878,
      0.232438361599194,
      0.258541330994744,
      0.261817122979543,
      0.222494751670787,
      0.17522581716704,
      0.149367146737808,
      0.14148300289309,
      0.139739493256819,
      0.148771063668114,
      0.180807476185917,
      0.226184403030426,
      0.26626724790628,
      0.284946718696081,
      0.259791598086634,
      0.214340359536965,
      0.188070237612232,
      0.188550006303609,
      0.200195710965036,
      0.214414383006581,
      0.233312857940119,
      0.244137532076593,
      0.220024840231367,
      0.18037546685638,
      0.152032061681178,
      0.13393312116056,
      0.133175081729525,
      0.160867135169178,
      0.184530022121423,
      0.162621474321354,
      0.122959790912346,
      0.110973701449335,
      0.124596748814727,
      0.137831444671048,
      0.127499719924853,
      0.107307378405618,
      0.0990155191516237,
      0.101707385049118,
      0.10241849310729,
      0.105800997802924,
      0.126462269605987,
      0.167957683672747,
      0.189572744789093,
      0.183371632486366,
      0.192186095043602,
      0.215657548439437,
      0.226681943036127,
      0.216107798553044,
      0.198870559684634,
      0.186237646557788,
      0.189032240711956,
      0.217796194904805,
      0.249303226585904,
      0.246528019031812,
      0.218762700752003,
      0.200542410492438,
      0.192044791386753,
      0.182661849398054,
      0.165578987820737,
      0.144383131417444,
      0.132085283131614,
      0.146130973617559,
      0.202380720386809,
      0.252101762554292,
      0.232464038733444,
      0.212671571211413,
      0.243909976162388,
      0.302754244287942,
      0.318003188099613,
      0.299947087591142,
      0.29349335425222,
      0.296672615632691,
      0.293178929956645,
      0.275568267269507,
      0.254803532855839,
      0.25490988644272,
      0.276122994131244,
      0.302879691515486,
      0.314069587613365,
      0.305406476098921,
      0.273673207814399,
      0.233139005672363,
      0.206300739092534,
      0.203849187392847,
      0.223705502033105,
      0.250685270235778,
      0.266048724499307,
      0.253884099171527,
      0.230251758875366,
      0.21286148367895,
      0.201273377957274,
      0.193903150404723,
      0.194346526097895,
      0.213486211031549,
      0.247144125800847,
      0.258635041169643,
      0.24122909968307,
      0.232994495603336,
      0.241380427438776,
      0.240080981083997,
      0.22184892881957,
      0.20194898729665,
      0.191992042810306,
      0.206220494616813,
      0.24547823251421,
      0.254154480637486,
      0.224098013871093,
      0.212077913628267,
      0.223225988511213,
      0.237087894141011,
      0.255908106946982,
      0.262476098686247,
      0.221440632936483,
      0.182012069097496,
      0.190680249101049,
      0.258267778250015,
      0.318014331523312,
      0.304793460883041,
      0.286758782536588,
      0.296252069003636,
      0.29732990379999,
      0.27789538357979,
      0.254990340692649,
      0.24391765527293,
      0.253241779085396,
      0.282622525640186,
      0.292125931038213,
      0.277329623134195,
      0.270407879030606,
      0.27674693870001,
      0.273128383619261,
      0.250330557166195,
      0.217318821549031,
      0.199562184281061,
      0.209944652927247,
      0.244002535063357,
      0.277394676381812,
      0.285775650601808,
      0.287562761237813,
      0.294739105013739,
      0.29887072373975,
      0.279582839838845,
      0.240049287711415,
      0.199570283504466,
      0.175538339612252,
      0.179570689378511,
      0.213076082717436,
      0.24401248524806,
      0.245709765491268,
      0.229366740276804,
      0.206651151240459,
      0.187963235687931,
      0.177215073904069,
      0.169771670206441,
      0.157683878204501,
      0.135938488221311,
      0.107928039345105,
      0.0262846199850366,
      0.0706911718491661,
      0.106169491386755,
      0.119643311870893,
      0.112721420662125,
      0.104029439617908,
      0.10889854652623,
      0.149596378877,
      0.199431473851928,
      0.2078613975711,
      0.18713889584041,
      0.17250094799846,
      0.165037836929736,
      0.155233029274222,
      0.145857281744813,
      0.13991541683886,
      0.134896783919673,
      0.138991444462138,
      0.155292842202028,
      0.182895517594427,
      0.220409320431756,
      0.248387024723249,
      0.245294457724598,
      0.228541661426346,
      0.24501254444147,
      0.294071807054161,
      0.287630025875479,
      0.232338492373411,
      0.187297656008153,
      0.154396952261336,
      0.134194059727422,
      0.130121953745822,
      0.132034499424411,
      0.135721507517114,
      0.150598968525403,
      0.16332234617273,
      0.164868705359049,
      0.173199931096665,
      0.171750036597713,
      0.149959823771092,
      0.129209959821193,
      0.125325192582494,
      0.150716702783171,
      0.200146321118528,
      0.238654602143135,
      0.263240930667562,
      0.259610944911082,
      0.219061276062761,
      0.183008566817504,
      0.171111345286608,
      0.16884100041841,
      0.166615472988476,
      0.177576705121702,
      0.214988199803339,
      0.26177701429574,
      0.295447524810084,
      0.304637606298031,
      0.26827588552212,
      0.215030125743606,
      0.191971986699473,
      0.201901841147844,
      0.213189482867406,
      0.221983724771892,
      0.248420605352405,
      0.266768244211957,
      0.235349192765761,
      0.188963968657591,
      0.158163780664281,
      0.135893164791768,
      0.127820123124984,
      0.151170163402544,
      0.174402430854062,
      0.162650398659731,
      0.137910954487639,
      0.136438910232211,
      0.158793573850313,
      0.178507232469959,
      0.171354697958008,
      0.153249672566226,
      0.155361041523701,
      0.172398115541236,
      0.173589999504251,
      0.157734386402014,
      0.150275648497575,
      0.175454469140441,
      0.195585995190538,
      0.19273055144019,
      0.203116983752959,
      0.226082664148859,
      0.234273036463344,
      0.234855444242328,
      0.234213741847897,
      0.224335522486783,
      0.223233332348524,
      0.249237867747288,
      0.272317538287633,
      0.253246021733614,
      0.222345414664414,
      0.210054437408592,
      0.205933873194773,
      0.192638247605739,
      0.171245950258413,
      0.152131822723139,
      0.143628259805558,
      0.16605805579852,
      0.239014719469846,
      0.293631122403554,
      0.255221939867439,
      0.221552188969428,
      0.24676964773765,
      0.302716082347247,
      0.315661264897231,
      0.300134899478152,
      0.296385379837027,
      0.304695875134194,
      0.306181632534901,
      0.287829242948259,
      0.261292110376302,
      0.250478079274974,
      0.261171744392556,
      0.282948841832267,
      0.302288224169986,
      0.305252690840655,
      0.27838131839734,
      0.241055769274874,
      0.219930161774454,
      0.221994290066158,
      0.246418860976241,
      0.280036844845773,
      0.290775600716654,
      0.258644689154006,
      0.221020962090814,
      0.206734784909246,
      0.211004129024238,
      0.21613733495645,
      0.219754866014128,
      0.240683896234431,
      0.280909654469815,
      0.298648900842285,
      0.284429564930751,
      0.270877031315405,
      0.266462791564465,
      0.259015075385568,
      0.246501490789473,
      0.227131914013139,
      0.208067159314384,
      0.209968598687581,
      0.247716184107942,
      0.262843481522967,
      0.231208400144492,
      0.210704581758828,
      0.222392904043247,
      0.24783412665503,
      0.274768715296809,
      0.27798097367177,
      0.232685123092706,
      0.192526865215027,
      0.200882163883575,
      0.268465818689284,
      0.330339592370226,
      0.319405831273333,
      0.298570706049898,
      0.305924068056233,
      0.311700502460615,
      0.298033336103046,
      0.272616574671211,
      0.253527012567958,
      0.25765677814321,
      0.284359834342628,
      0.295694192643835,
      0.292831251655885,
      0.296011177835722,
      0.297587506419082,
      0.288191445869322,
      0.266049288211484,
      0.22956253633678,
      0.202326080364247,
      0.214180214095459,
      0.26646573516348,
      0.31906055958955,
      0.326096870901682,
      0.314837161462455,
      0.31250602101412,
      0.311110623984305,
      0.287412548743418,
      0.242858392681479,
      0.200570870657388,
      0.175571796909008,
      0.177926076401832,
      0.210867821857063,
      0.250994176905133,
      0.269941148504558,
      0.262262701676026,
      0.238461320810958,
      0.223378185950744,
      0.220452179874187,
      0.211627946256982,
      0.193247732075281,
      0.165853778944427,
      0.132581654469935,
      0.0288469241028729,
      0.0820712562127528,
      0.123309216990337,
      0.132854280999543,
      0.119828097653802,
      0.113511532771307,
      0.130682940437721,
      0.176472105172695,
      0.209190909021477,
      0.203999652741012,
      0.199923658141098,
      0.202092639159747,
      0.196699275549408,
      0.192806873749875,
      0.183250140262179,
      0.162817040091255,
      0.151054653256702,
      0.162563719034484,
      0.192872515996464,
      0.229436381452471,
      0.244437528262056,
      0.220327420572608,
      0.172733821776369,
      0.149333188896819,
      0.196956872580181,
      0.29701383036008,
      0.311252141969643,
      0.244243430881721,
      0.178736609809927,
      0.136798351120409,
      0.115523703480036,
      0.117289907213365,
      0.131048679160922,
      0.148416587251631,
      0.170630240013747,
      0.187310297167553,
      0.192842225977855,
      0.197134652753315,
      0.183072871718718,
      0.153563691967604,
      0.134980561869204,
      0.140957824334213,
      0.179833566312938,
      0.238053097339349,
      0.281861433126707,
      0.304242921655576,
      0.289929948680181,
      0.242404916372564,
      0.222438885571976,
      0.230809220027868,
      0.224751968613756,
      0.204760962243107,
      0.212457811870449,
      0.25630881321499,
      0.293287184954157,
      0.313986450586079,
      0.322438751743543,
      0.288399848173972,
      0.23721294995408,
      0.22427588086577,
      0.24073043324665,
      0.242121272372641,
      0.237721426203651,
      0.267080423826707,
      0.301037948795584,
      0.274044685657443,
      0.218459445717129,
      0.179531293120042,
      0.152641126368703,
      0.133722980936237,
      0.145133427449963,
      0.168022153906607,
      0.166533005324468,
      0.149306517984362,
      0.151051717763761,
      0.179490592237525,
      0.205363248133742,
      0.198273558464275,
      0.182171331770677,
      0.195310660694107,
      0.21996127858067,
      0.217804236493805,
      0.200579279990981,
      0.199934324037142,
      0.228365143454919,
      0.242630910674618,
      0.236826695452775,
      0.243742771968369,
      0.266059810701938,
      0.273673945785752,
      0.266877733572099,
      0.258007531971377,
      0.244802339278184,
      0.239999663749537,
      0.26103010920605,
      0.272884721461249,
      0.249127429762756,
      0.225221230086561,
      0.226023479125173,
      0.235774402473775,
      0.237928661849068,
      0.2295295098117,
      0.207802497888817,
      0.185778924601583,
      0.197157924056153,
      0.262354703797545,
      0.30439070616565,
      0.260609730038772,
      0.225546891560367,
      0.245614186017634,
      0.300377154003578,
      0.318416883434324,
      0.308715689780281,
      0.310330903170292,
      0.318193077682644,
      0.319175384053767,
      0.312419416158762,
      0.304058796385915,
      0.296984251530529,
      0.292198741531742,
      0.288005441099866,
      0.295757982938569,
      0.305939543244337,
      0.290325008395772,
      0.259786092821156,
      0.240233153600339,
      0.240987164861879,
      0.263934748263624,
      0.295586479956737,
      0.296019469704882,
      0.256514555471156,
      0.21739036713924,
      0.205188792960796,
      0.217046196176655,
      0.234116336312964,
      0.246170140484929,
      0.26880569169427,
      0.306989250579525,
      0.337328469744433,
      0.344203390442572,
      0.330415138146543,
      0.309147202899897,
      0.290346406042766,
      0.272848429232886,
      0.247583836826473,
      0.227504648594133,
      0.230809221689826,
      0.266193128532574,
      0.270920076226179,
      0.227880548176448,
      0.203679601874247,
      0.221055139716307,
      0.253355550631298,
      0.279708086324719,
      0.285644951189504,
      0.25080395258498,
      0.225492665904295,
      0.242960075242566,
      0.307962628823988,
      0.358090473666475,
      0.348316351272555,
      0.33262226309454,
      0.334273444538835,
      0.337373503592616,
      0.329670235224307,
      0.302173289642925,
      0.272912793629669,
      0.275120256220736,
      0.306960835478764,
      0.321494714992005,
      0.321263923488054,
      0.325777675553813,
      0.319694249539346,
      0.309029556907926,
      0.299690098885958,
      0.269645617208012,
      0.233541934691469,
      0.240662546071253,
      0.297227012204198,
      0.353095264283452,
      0.362060323323132,
      0.358126517012779,
      0.349593696707035,
      0.328099557784695,
      0.296183338798022,
      0.254011657582158,
      0.212950788550526,
      0.18737672095985,
      0.193452757140013,
      0.241924854193547,
      0.303367723416344,
      0.327858482557144,
      0.315186441330685,
      0.292823199114001,
      0.285984160975828,
      0.281096193813237,
      0.262547621265926,
      0.243985975504162,
      0.225950062232721,
      0.194628556281422,
      0.0266258884229751,
      0.0872522684496775,
      0.143610993353529,
      0.159722787786532,
      0.139344264160074,
      0.12377216193868,
      0.139114777063022,
      0.179216518267801,
      0.198627187924987,
      0.194099012199504,
      0.217744803549992,
      0.235692675404168,
      0.214294708617167,
      0.200374245527291,
      0.198259608590545,
      0.176492787350537,
      0.159840826125685,
      0.174778434404165,
      0.219777679257184,
      0.265054377055255,
      0.253127814429119,
      0.182918781525502,
      0.113556736535411,
      0.0999680294405061,
      0.15528109559462,
      0.247219215948321,
      0.271654561249995,
      0.210299869631675,
      0.138098194398832,
      0.0994876097009974,
      0.0895346453958675,
      0.0982334043807343,
      0.117678177065027,
      0.147662352277409,
      0.18476808773192,
      0.206074565560753,
      0.196991143893064,
      0.179330115927231,
      0.149681103417736,
      0.127063884604246,
      0.133897469686584,
      0.170132873882725,
      0.226476174089083,
      0.280271297524578,
      0.314735266211622,
      0.336714613361465,
      0.330933257686135,
      0.283195210072691,
      0.25763260206684,
      0.260585078044914,
      0.24673758265156,
      0.223553570699575,
      0.238814833224387,
      0.282914081115177,
      0.299633685329683,
      0.301755719558827,
      0.311326661251584,
      0.290529504375194,
      0.253169564779573,
      0.248276507978804,
      0.262997873857166,
      0.258586756092357,
      0.252822177608005,
      0.284942775266296,
      0.327603022945692,
      0.308365981534139,
      0.251143196131469,
      0.210182763700883,
      0.182874045767167,
      0.153173161545407,
      0.144375270467684,
      0.15190374835781,
      0.145834651494523,
      0.132865278655169,
      0.143457641564125,
      0.183351610447363,
      0.220234597103341,
      0.223123728358364,
      0.217723209433763,
      0.225059199817083,
      0.216712733194963,
      0.187838178233738,
      0.17713906059152,
      0.206200830279345,
      0.261941163747045,
      0.286943076306054,
      0.273630849898684,
      0.272046159097464,
      0.298587118646746,
      0.30541090672913,
      0.266366431549604,
      0.231127410330772,
      0.222588135662908,
      0.225947577075747,
      0.241546859381404,
      0.255005036823336,
      0.252760536483437,
      0.240096084392137,
      0.240212351574657,
      0.25689329259362,
      0.278554345035652,
      0.275496579339809,
      0.232758975986878,
      0.192869033963876,
      0.196927385295777,
      0.242262616669428,
      0.251453784725994,
      0.213797836333372,
      0.212441589905637,
      0.25807424922679,
      0.315164355897905,
      0.325862853657215,
      0.320416494396243,
      0.328796659920324,
      0.334830324166461,
      0.332193693311562,
      0.33438223030307,
      0.342283515320161,
      0.33470033961179,
      0.307896826784215,
      0.283702043424744,
      0.296597389820858,
      0.318503787059545,
      0.305583234299427,
      0.275740523309387,
      0.259819938214868,
      0.258601700850394,
      0.267041110842434,
      0.281849151313388,
      0.283526939312475,
      0.263813051209756,
      0.23920493253569,
      0.234487412145634,
      0.25091529728596,
      0.266678970513709,
      0.273409384340303,
      0.291780263316083,
      0.320200771936438,
      0.341439262475209,
      0.347875759745145,
      0.338720077034232,
      0.336172310806541,
      0.331977076580002,
      0.301382639705672,
      0.258209805545179,
      0.242986705926029,
      0.261672758258758,
      0.29324124915954,
      0.282411747469342,
      0.235484032389288,
      0.218932751546907,
      0.239496416228753,
      0.265135410382358,
      0.282063103473857,
      0.286508963944886,
      0.254004869091983,
      0.227440714043736,
      0.24261867875859,
      0.30387646111583,
      0.350100904469012,
      0.349722282525871,
      0.361296738996974,
      0.377209743858716,
      0.36216942763095,
      0.333527895307934,
      0.300301296022262,
      0.27577705412158,
      0.288601013096249,
      0.33126651660265,
      0.342238720807287,
      0.329002457763738,
      0.336328205556577,
      0.35021010508382,
      0.350089723359461,
      0.342654499580399,
      0.315663447117074,
      0.282481717884226,
      0.284276355528724,
      0.323142201212413,
      0.347676533659855,
      0.337923828520275,
      0.34294415140296,
      0.353975246275156,
      0.342880740223689,
      0.320966713731021,
      0.288539037563993,
      0.243645508285215,
      0.2102542345281,
      0.218335880499168,
      0.282120349278684,
      0.347482861531856,
      0.357578903668524,
      0.343014392388831,
      0.337442654251021,
      0.331996674331129,
      0.296638273858544,
      0.258424696793749,
      0.258447255337645,
      0.275994905419754,
      0.2554072317606,
      0.0242969692616321,
      0.0827885662854674,
      0.147388062574038,
      0.182213077014005,
      0.171111700790376,
      0.146134546954666,
      0.139643181802991,
      0.154330048379883,
      0.162716171179593,
      0.16508113988201,
      0.193394718240874,
      0.210639369396976,
      0.193273028716813,
      0.17969586149094,
      0.171077239881967,
      0.146384598328852,
      0.132579121338727,
      0.156985231600099,
      0.208038341066586,
      0.233138905337293,
      0.19219551802503,
      0.123651404367025,
      0.0766278600950162,
      0.0796742726062555,
      0.129505442446213,
      0.19745037522817,
      0.214848983661677,
      0.17151695596332,
      0.118181906308668,
      0.0879981307928861,
      0.0761716823275591,
      0.0783502895890775,
      0.0958792549466013,
      0.133686893466866,
      0.181028777478442,
      0.203932583672251,
      0.189060871093705,
      0.15680019777075,
      0.112587847286844,
      0.0888143839063728,
      0.106040785620656,
      0.151776268642913,
      0.205853807755286,
      0.241276721393702,
      0.260873647508617,
      0.290431780696433,
      0.321349934200565,
      0.296240731318443,
      0.254565118890685,
      0.235793172712477,
      0.225662546232876,
      0.21925581714222,
      0.243709836088534,
      0.284111157346847,
      0.288632055412263,
      0.273337156131507,
      0.276297086416829,
      0.269729804443546,
      0.251215439854183,
      0.260061976707019,
      0.281229238455515,
      0.271383571214692,
      0.253604046422175,
      0.274402247937686,
      0.302951770284633,
      0.277327482054614,
      0.234220392512943,
      0.222751348763406,
      0.213719155212314,
      0.173200704697406,
      0.140690098011275,
      0.138984566231831,
      0.135511771386371,
      0.11908446715575,
      0.117839908763761,
      0.14705914426584,
      0.185674959896757,
      0.214440973293236,
      0.227749655382225,
      0.217915620133674,
      0.180693303382832,
      0.145165474808008,
      0.142301306879859,
      0.178710635636108,
      0.241936618659413,
      0.27613983055479,
      0.257761429174895,
      0.237898881934443,
      0.243653086794251,
      0.247291980065397,
      0.218100470720836,
      0.194602341315427,
      0.197003052169276,
      0.210941896734049,
      0.228812838507681,
      0.243604355866445,
      0.234390774201222,
      0.2069024231761,
      0.188221633393342,
      0.202101353652945,
      0.23811594668526,
      0.251395147333296,
      0.210463722459668,
      0.16947220167967,
      0.170190605376815,
      0.208066753784957,
      0.217900091778652,
      0.195018882709751,
      0.218490048433634,
      0.289607530352338,
      0.345109458844667,
      0.32872196917153,
      0.304502677770901,
      0.303499717360315,
      0.309712969981866,
      0.310742281078249,
      0.313140670504945,
      0.316626221002015,
      0.30865559154613,
      0.296850039068992,
      0.302587736330148,
      0.323387246475995,
      0.319179185601942,
      0.279992016568539,
      0.242174277292425,
      0.232927560525203,
      0.242140089302272,
      0.249135119909694,
      0.256927737406833,
      0.273552774141762,
      0.283636677566842,
      0.275849681712781,
      0.274972281884081,
      0.28630376280648,
      0.286100876206953,
      0.273459597345142,
      0.283224321845896,
      0.309573633324915,
      0.319261355875823,
      0.303578516907459,
      0.285400301698847,
      0.296623702586294,
      0.310700692036808,
      0.285671574228325,
      0.247313858333357,
      0.244486026672123,
      0.272690351813538,
      0.29276369925227,
      0.26472405778636,
      0.21969879007845,
      0.217334232405825,
      0.250044141557221,
      0.280978136831068,
      0.300848354110614,
      0.301780094995798,
      0.257406518231123,
      0.216993438461451,
      0.222651067106995,
      0.274665924186736,
      0.314834569323133,
      0.316420342502521,
      0.347228284351287,
      0.385256574317928,
      0.362520298515402,
      0.306966821343535,
      0.270578573893391,
      0.269240279912015,
      0.304540150758364,
      0.34861470412231,
      0.334307603425215,
      0.293982138214036,
      0.296092950075099,
      0.325185256600463,
      0.331515529333715,
      0.310392589779267,
      0.282381299547904,
      0.270790821814567,
      0.278086792193353,
      0.295934069530382,
      0.302349329765729,
      0.300138068646339,
      0.31410714636274,
      0.340830864870525,
      0.347113664945667,
      0.329431992057616,
      0.294645723918828,
      0.251235681030737,
      0.229800414662935,
      0.249052307913353,
      0.293107770987978,
      0.303850724919194,
      0.285971593504381,
      0.27690874446496,
      0.284936663560151,
      0.285997502098755,
      0.247510177368379,
      0.205437385769178,
      0.212891170254706,
      0.244582133731928,
      0.235081497244809,
      0.0228912481068808,
      0.0737722820994014,
      0.130533261702971,
      0.179232330719389,
      0.189573199777634,
      0.167075509751053,
      0.141686601168433,
      0.132095764713244,
      0.128195987255409,
      0.129839540250064,
      0.155281164446907,
      0.172886497630205,
      0.166706346875861,
      0.155459608232468,
      0.139373085908877,
      0.114720667866439,
      0.104021076754644,
      0.127399335533214,
      0.163509944761122,
      0.162088601097759,
      0.119365894902436,
      0.0837783212135789,
      0.0745370850203743,
      0.0960111030308352,
      0.138134717508312,
      0.178100760020055,
      0.191901962080407,
      0.166984082449949,
      0.121393493733313,
      0.086013355361106,
      0.0649054776795438,
      0.0605571084127772,
      0.0734665595282395,
      0.102209491310671,
      0.139859385685148,
      0.166320302338441,
      0.164100220897305,
      0.134228634268519,
      0.0901084056626992,
      0.0653684365011278,
      0.073669907417786,
      0.105700066023987,
      0.153169475826296,
      0.19965779969982,
      0.227840681350664,
      0.252385029028093,
      0.283479007131103,
      0.271704442305135,
      0.226761913953929,
      0.189399775138074,
      0.17863591077963,
      0.190415011566282,
      0.224145499805626,
      0.262394421470553,
      0.266030425790998,
      0.245451480546914,
      0.235078618630583,
      0.227911607550062,
      0.221064071947412,
      0.235597245741915,
      0.257850804104919,
      0.252426525818174,
      0.236289625208432,
      0.246335764371318,
      0.259713296099839,
      0.23649766566949,
      0.205803043549186,
      0.204242973717767,
      0.202531705191156,
      0.167362678852082,
      0.126443587086014,
      0.110682924368766,
      0.109416862877419,
      0.103610274416567,
      0.101423205307248,
      0.121349780231242,
      0.15261837014401,
      0.172829613015479,
      0.175783926242265,
      0.159607575545144,
      0.128143350549615,
      0.11038033560837,
      0.119521075936173,
      0.150676170069142,
      0.197703462923456,
      0.219760242104945,
      0.19837282712871,
      0.180989263878917,
      0.187439129683905,
      0.201537752663331,
      0.201157959224703,
      0.19849092152102,
      0.196778515734444,
      0.201986806386189,
      0.217215926189164,
      0.234292088414947,
      0.218528243745065,
      0.184283027788325,
      0.15839223639266,
      0.160764163854734,
      0.183071585124319,
      0.199427222023956,
      0.178825026287433,
      0.155918542596539,
      0.162572706289649,
      0.198824112717228,
      0.210224188978766,
      0.192942839956564,
      0.219826726907534,
      0.292820065528998,
      0.346806338045408,
      0.322017430392731,
      0.289510309989263,
      0.280519639068686,
      0.275733444083022,
      0.266896840139489,
      0.258668931773097,
      0.25367905449572,
      0.256692872036187,
      0.283415566656819,
      0.323398258744319,
      0.332649623761011,
      0.297580859282664,
      0.247474809094353,
      0.208004262643817,
      0.200074043654635,
      0.218901326103355,
      0.233975902450015,
      0.242671811665956,
      0.263079522787476,
      0.281965852493973,
      0.278811969145761,
      0.268730716534471,
      0.262438141557072,
      0.253613662298299,
      0.24466363549473,
      0.252478660223298,
      0.277999384165904,
      0.289644420831841,
      0.268898213004985,
      0.245690576998381,
      0.249322489840777,
      0.254072879084718,
      0.230687901972674,
      0.206801728248563,
      0.209706978298109,
      0.232221567845396,
      0.24940914440895,
      0.231074122540648,
      0.198192909821481,
      0.19702579819191,
      0.221558353941943,
      0.246242311988145,
      0.275236599392057,
      0.293021139934758,
      0.25741221179308,
      0.21539264416944,
      0.214235227828353,
      0.255034217152879,
      0.28553896684147,
      0.27936836881886,
      0.301097619071958,
      0.334524108277078,
      0.319655927689938,
      0.273605452894778,
      0.244309034925184,
      0.248391311368621,
      0.286280720535506,
      0.328726842132705,
      0.314681840022544,
      0.272708389015409,
      0.260825066877764,
      0.269840365604506,
      0.267623293743151,
      0.243430813731646,
      0.219464253119064,
      0.224594317524608,
      0.244378561853587,
      0.260500560593429,
      0.267997011413491,
      0.280713374106997,
      0.300110643221219,
      0.317545653573449,
      0.317826568403233,
      0.296588077982281,
      0.26094531800676,
      0.224202877372688,
      0.218210288824302,
      0.250064693205918,
      0.288564169707981,
      0.273175807886157,
      0.235444239729026,
      0.218840509158192,
      0.220481200109719,
      0.220479156378759,
      0.192195736249606,
      0.157209154323951,
      0.150118301610524,
      0.157668838182102,
      0.146731709534228,
      0.0173783261553553,
      0.0597830054811557,
      0.106718506193135,
      0.142640336091398,
      0.145082296890941,
      0.126849203132437,
      0.1129942345388,
      0.113221974335199,
      0.116502245937354,
      0.125814948432642,
      0.150214125538551,
      0.161527423785639,
      0.148031634108816,
      0.133017890475525,
      0.125298836094795,
      0.114076688766691,
      0.0997175687962065,
      0.100931765992488,
      0.114960024227333,
      0.11428591972308,
      0.0980971410221965,
      0.101757920547756,
      0.142340547030534,
      0.202408039442143,
      0.239110321515612,
      0.227297620838111,
      0.211730188635115,
      0.180251534399417,
      0.128986843298198,
      0.0894216607103755,
      0.0683487848672916,
      0.0638758410921551,
      0.0707511449240627,
      0.0854292595562152,
      0.108741300965561,
      0.132192834424038,
      0.13412332905798,
      0.113643071355104,
      0.0819314973400896,
      0.0616503491171952,
      0.0639316172684322,
      0.0872319630132761,
      0.128222643030477,
      0.176543546850362,
      0.212759671470136,
      0.238864322024673,
      0.252110466193414,
      0.228021928850427,
      0.179294861649239,
      0.139463387743695,
      0.131582786898449,
      0.149127412448135,
      0.176964893758876,
      0.205494655510633,
      0.220026389087092,
      0.222628088146881,
      0.218335377246001,
      0.204168879627408,
      0.19022025341227,
      0.19903292594342,
      0.222241701058093,
      0.229400656847638,
      0.223981618712968,
      0.229691389021583,
      0.235242005264625,
      0.218550298435274,
      0.190156132320925,
      0.175918289999864,
      0.171634055731567,
      0.155462560439154,
      0.133242827073205,
      0.124624193197891,
      0.124503556945291,
      0.113530495447178,
      0.0985585153504236,
      0.0974618030213516,
      0.107821747325766,
      0.108921821855985,
      0.10105758222137,
      0.0945377151520028,
      0.0875647917207104,
      0.0880081363626231,
      0.102826910244501,
      0.132895044660797,
      0.177103091561206,
      0.204533425631019,
      0.191452369816591,
      0.172801770862695,
      0.172298797534631,
      0.190964234103992,
      0.203402759335047,
      0.201168021408282,
      0.192048345163597,
      0.201301440220081,
      0.224285637096351,
      0.23442990073154,
      0.211786696758048,
      0.185466735200496,
      0.170012527840528,
      0.168046959805538,
      0.171777581416548,
      0.165978244902514,
      0.14775410283288,
      0.141517048527885,
      0.161140758761496,
      0.201386895369372,
      0.217936109585654,
      0.196697627605028,
      0.199364901623091,
      0.251048045253653,
      0.31462469285158,
      0.315609754755455,
      0.290878976975518,
      0.283271737573716,
      0.279776248298937,
      0.267837891394079,
      0.248515540535875,
      0.230818861716072,
      0.239831203621207,
      0.282049240057415,
      0.319962573877455,
      0.311140870653925,
      0.272838248328608,
      0.229971552228871,
      0.193002423158204,
      0.182943152424341,
      0.201843974922013,
      0.218183884258092,
      0.221321582061517,
      0.229163607453297,
      0.241441874689586,
      0.24383393626009,
      0.234451175745499,
      0.217524704260447,
      0.202415279733541,
      0.198599523990167,
      0.207390139615219,
      0.232200265768669,
      0.246634529764193,
      0.230737708836417,
      0.210625981702032,
      0.208776379736816,
      0.206891752730611,
      0.190870001920904,
      0.178025204179045,
      0.179396962761216,
      0.195488587208518,
      0.216432675193291,
      0.212282647015213,
      0.189913900142527,
      0.189719402762729,
      0.20611215044948,
      0.21947901521664,
      0.234113978271354,
      0.247063055334761,
      0.224301659947138,
      0.194567355685111,
      0.194388618803931,
      0.232431687900218,
      0.265271614509682,
      0.260118009378344,
      0.275652051613144,
      0.306665816952101,
      0.299432670435743,
      0.258057768984676,
      0.226406385170625,
      0.222386133726952,
      0.248871149314176,
      0.282902148518788,
      0.276942677621992,
      0.246060608644249,
      0.233899065772658,
      0.239048041575485,
      0.239451373297875,
      0.220830535166453,
      0.197808681893269,
      0.194432467407756,
      0.20554598613501,
      0.222640256665504,
      0.241969861183829,
      0.257994824718817,
      0.271768207692791,
      0.285086191442931,
      0.286469656319372,
      0.260330357815632,
      0.217538820357977,
      0.184823981473845,
      0.185101976508744,
      0.219951151862885,
      0.262070409651781,
      0.256231926181978,
      0.220530619817557,
      0.20015851071028,
      0.193169276416633,
      0.187501641218059,
      0.167241622635615,
      0.142402564620552,
      0.126345350394886,
      0.11469256180712,
      0.0984308333393633,
      0.0169453167802489,
      0.0594424940306639,
      0.0996392476348435,
      0.11630625563594,
      0.106598018179977,
      0.0930468172241452,
      0.0886989762444957,
      0.101584121162617,
      0.124377631120757,
      0.146109959472644,
      0.161458587581505,
      0.160855392639611,
      0.143696943540596,
      0.12937799247127,
      0.127760332496696,
      0.126901836455386,
      0.111706603101881,
      0.0998302063293904,
      0.105142809748875,
      0.115306872468379,
      0.126169209262209,
      0.162991614245362,
      0.234325887521649,
      0.304857225674807,
      0.326015921268076,
      0.285352136226669,
      0.240530338865077,
      0.197207186185951,
      0.168048289056803,
      0.150113195352189,
      0.132862640041486,
      0.11483460830914,
      0.100187451860021,
      0.0953424212396209,
      0.108325902997026,
      0.126142442951948,
      0.123065779659233,
      0.108383438409177,
      0.088084961958397,
      0.069587270441703,
      0.0662827948128505,
      0.0847580625827773,
      0.122574207932783,
      0.166892884654169,
      0.201056234378844,
      0.227359977964683,
      0.230340695923348,
      0.200201637830711,
      0.159236398029765,
      0.132365227735882,
      0.127691077231932,
      0.134033044462514,
      0.143215771180724,
      0.162312615627226,
      0.196697426089639,
      0.229570822403436,
      0.231177013824783,
      0.201117609009901,
      0.175461004018674,
      0.17468941269574,
      0.189590907960368,
      0.201631629643273,
      0.211149374441316,
      0.222478278364521,
      0.225929373317532,
      0.204071374782238,
      0.172066138836265,
      0.150859438076854,
      0.145017669871684,
      0.139386005921771,
      0.139383405748676,
      0.149307728905019,
      0.14335005428029,
      0.114533129988677,
      0.0902162623291726,
      0.0864424562430813,
      0.0945309561613372,
      0.0910519704597048,
      0.0765416891733925,
      0.0689818530989897,
      0.0689914655857348,
      0.0731489175262885,
      0.086867307046543,
      0.119666401241752,
      0.164943097274158,
      0.187358933069441,
      0.175224626320753,
      0.166672703045462,
      0.173467487368962,
      0.193447044743411,
      0.206971099926829,
      0.204643502772789,
      0.199313139631968,
      0.2161612811493,
      0.241810850432439,
      0.239511515914866,
      0.213336918904919,
      0.197010294452487,
      0.188940571071901,
      0.180201495120379,
      0.169484610701137,
      0.154267637464953,
      0.141206372618679,
      0.138788351073993,
      0.159164216568865,
      0.203579622044472,
      0.228569554230758,
      0.203189429981809,
      0.189889901053355,
      0.228805342810209,
      0.29673067611077,
      0.316765745921831,
      0.299818744526165,
      0.294806844276658,
      0.301369248988037,
      0.297710233322323,
      0.271302459436426,
      0.239497450355055,
      0.240566391403932,
      0.270861213698594,
      0.298009099779021,
      0.293103969777537,
      0.26608162084521,
      0.228525853807627,
      0.196266090211803,
      0.190087657150441,
      0.209099889299907,
      0.22549305908634,
      0.224844103761945,
      0.22387846481376,
      0.223377992809662,
      0.214619200294411,
      0.199755229966537,
      0.183635746218556,
      0.171539461389478,
      0.168262785873618,
      0.180667931952369,
      0.207811519413075,
      0.220716835067755,
      0.206319879408663,
      0.192457441120083,
      0.193550950116427,
      0.191987961566925,
      0.178528919236243,
      0.167988259881838,
      0.170574044303463,
      0.19210637910982,
      0.223584601273657,
      0.219528891063879,
      0.189274850334732,
      0.187379617277606,
      0.207210670463074,
      0.219825752162038,
      0.225441553046394,
      0.227235650219582,
      0.199794017804747,
      0.171907225247884,
      0.178572655180122,
      0.232216550380153,
      0.280551596365478,
      0.271901163392072,
      0.270811454435767,
      0.292953016046024,
      0.286004366500339,
      0.244998282242235,
      0.215666534636155,
      0.214745582362554,
      0.238979287099275,
      0.26677504831655,
      0.264781255638317,
      0.245100151195969,
      0.234791332873355,
      0.236037882027377,
      0.236535839602455,
      0.226475516230411,
      0.204197305359918,
      0.189020266589749,
      0.190454165369511,
      0.211205619011899,
      0.242187596245695,
      0.262026910722491,
      0.271023376449092,
      0.275129554573657,
      0.271438058693411,
      0.246147543330841,
      0.203835202070629,
      0.169579080315211,
      0.164150756586397,
      0.190575306712634,
      0.233179027460953,
      0.247064188519378,
      0.229503976502539,
      0.208434638383717,
      0.188209549689262,
      0.17247025353474,
      0.159473770116291,
      0.145807936317899,
      0.129224931342497,
      0.108965576495445,
      0.0876735178227206,
      0.0185009861325331,
      0.062651020517737,
      0.101893904942922,
      0.11564684922794,
      0.108460109261771,
      0.10485118134437,
      0.10910204187626,
      0.130792380399436,
      0.158151280482261,
      0.16351919645291,
      0.151601995916424,
      0.146587517988203,
      0.146698007780535,
      0.141459128646601,
      0.138109945349712,
      0.140780810783552,
      0.134898002072119,
      0.130682206287554,
      0.139354708795322,
      0.158035939692997,
      0.185643513323958,
      0.218077648675933,
      0.236660809926661,
      0.241620989038919,
      0.258563536132336,
      0.283259056856874,
      0.256166937119028,
      0.219248654854533,
      0.21719461585801,
      0.225543462512184,
      0.242801254708926,
      0.235538617132388,
      0.185893414310096,
      0.128160419677207,
      0.123891060412033,
      0.136648129488103,
      0.132116636323844,
      0.139434835933304,
      0.141370009576806,
      0.11851019984629,
      0.0956853094756189,
      0.0955207906703257,
      0.125075003409102,
      0.168111534669505,
      0.200708461989491,
      0.224708547549012,
      0.226903670521177,
      0.200743178189339,
      0.172640078831813,
      0.158334208154637,
      0.151099628605458,
      0.144205435583405,
      0.144096346421687,
      0.164011120503995,
      0.201179296956392,
      0.232138546306916,
      0.233758826309738,
      0.206158671003097,
      0.182980168483077,
      0.182568018184974,
      0.193600054191537,
      0.197291832139454,
      0.200144257651052,
      0.21176778423629,
      0.223447085686775,
      0.205948432801195,
      0.17216145760559,
      0.148650654672038,
      0.136776696036557,
      0.127089493925673,
      0.146298331914585,
      0.18386107975214,
      0.185880563404652,
      0.149733902166889,
      0.12302014038358,
      0.119305221143265,
      0.122294678832475,
      0.113185687904155,
      0.0945759591116686,
      0.0827205488467246,
      0.0797492403695669,
      0.0802211064138904,
      0.0861475080442638,
      0.109549439248779,
      0.147059871510226,
      0.164510791508154,
      0.154937249868862,
      0.158980938625697,
      0.180026143715729,
      0.203437451022829,
      0.233756241864251,
      0.256098359017144,
      0.256628593958995,
      0.255305624068723,
      0.261669269475737,
      0.252189302422024,
      0.228468567595801,
      0.211914315498436,
      0.195156262660933,
      0.17773854502399,
      0.165736048427147,
      0.15419106425945,
      0.137505136458949,
      0.129863025341419,
      0.153915009723978,
      0.21949987040034,
      0.267722132782172,
      0.237205593017025,
      0.208689628149933,
      0.230754589697055,
      0.286567413565288,
      0.309306428287522,
      0.298406024573424,
      0.291044575095264,
      0.303234507534973,
      0.308613371392472,
      0.278500802176891,
      0.237258930760484,
      0.230604789932002,
      0.248557180607608,
      0.268246404278664,
      0.273660742068915,
      0.260992871969454,
      0.234220687318743,
      0.21008270149723,
      0.200137721131359,
      0.207234758421889,
      0.225588973040213,
      0.237203712707774,
      0.230408414793573,
      0.209274473968617,
      0.189807676000387,
      0.176559420741719,
      0.171459291025962,
      0.170424602020659,
      0.175310107491453,
      0.1951814728441,
      0.226792169730289,
      0.240578960150565,
      0.226231410512609,
      0.208922159250299,
      0.20216195913753,
      0.194378991859245,
      0.181754836368487,
      0.174210924598122,
      0.177034628454934,
      0.199257862849229,
      0.242405792575356,
      0.244186747421682,
      0.201055171499613,
      0.186072259017357,
      0.208146419042984,
      0.232808235215873,
      0.243538713846296,
      0.237201648544899,
      0.200575023988238,
      0.172958946253869,
      0.190592758633375,
      0.262203892480239,
      0.320041721377625,
      0.300823589242677,
      0.281935144046907,
      0.296877232871339,
      0.295761552208264,
      0.256594924337047,
      0.222197657073707,
      0.217625188102308,
      0.240703459537699,
      0.266357003168916,
      0.267535933218755,
      0.254977598360737,
      0.246092323867078,
      0.240559191983495,
      0.239724026079132,
      0.243668959536128,
      0.228048562366299,
      0.201212074958519,
      0.194162938861609,
      0.222420377824694,
      0.263060589298742,
      0.280119449565615,
      0.279222186380216,
      0.275149396158511,
      0.272020853574327,
      0.252875364986794,
      0.215715085119814,
      0.179277869801148,
      0.16370045092374,
      0.175905983674895,
      0.214386169999728,
      0.245362942389427,
      0.252734405463572,
      0.236610169548997,
      0.201570638098629,
      0.182804844411506,
      0.192082420832216,
      0.193420225144175,
      0.167672368372852,
      0.129133178721171,
      0.0959656644362333,
      0.0227337189552949,
      0.0764734349348057,
      0.123201039981681,
      0.137918098803311,
      0.129092071774049,
      0.128120464328896,
      0.143391805262926,
      0.171689139892294,
      0.188048649163328,
      0.173557900512959,
      0.158281795225532,
      0.157153409776246,
      0.17059466584866,
      0.183585707368531,
      0.178618432072514,
      0.160339630272011,
      0.152125758076606,
      0.170964997149381,
      0.207035817667379,
      0.241634135632007,
      0.255818853950198,
      0.234592193465301,
      0.186013316040747,
      0.157190034652399,
      0.195791654824568,
      0.285422314103329,
      0.295203638126295,
      0.247551551922569,
      0.210455521984798,
      0.188636803890175,
      0.208089837973399,
      0.235256782855863,
      0.220455970644815,
      0.176493596583572,
      0.169837139234999,
      0.182893633585845,
      0.206238489665668,
      0.269988177183126,
      0.292781030877308,
      0.241697552236093,
      0.177128946613886,
      0.143468878206777,
      0.154635902856704,
      0.192401571496694,
      0.229172987141247,
      0.255886473061875,
      0.257595344506567,
      0.225217122621275,
      0.207842265029671,
      0.215487530904327,
      0.208853077085801,
      0.186581182955291,
      0.187132962515023,
      0.21986013892365,
      0.251041331561486,
      0.269750749679511,
      0.27424027948939,
      0.247192774071464,
      0.215204048765163,
      0.210860315649186,
      0.221534736960493,
      0.214148951601718,
      0.20228034541268,
      0.217944007896953,
      0.246633332329976,
      0.237386183713637,
      0.195750689567643,
      0.161818425382117,
      0.143437920717492,
      0.139979572187114,
      0.198706301986351,
      0.298399036095999,
      0.327785861423805,
      0.266688180786578,
      0.208005745950294,
      0.187732658541983,
      0.175334338873977,
      0.158116242216391,
      0.149502931085027,
      0.158446634656723,
      0.165897642996441,
      0.155689458618685,
      0.141822522953926,
      0.149234878621125,
      0.180797904243828,
      0.192542145862208,
      0.184919200577943,
      0.195100480306679,
      0.217126683421402,
      0.233558484050283,
      0.268535971298454,
      0.301015426272404,
      0.299832160510309,
      0.289763789189344,
      0.298311916961858,
      0.302543901522207,
      0.28315028944943,
      0.255799074752511,
      0.227673566749284,
      0.211969121244616,
      0.216319862982725,
      0.220051353259792,
      0.187997224513772,
      0.159065809240621,
      0.183489494162241,
      0.273193598027666,
      0.332403486706925,
      0.280473736138263,
      0.226265298404953,
      0.22919663017522,
      0.276831484648031,
      0.295234466957714,
      0.282069015058241,
      0.277518261502303,
      0.294402053410762,
      0.302845912058789,
      0.275092496203095,
      0.23696808690681,
      0.228355031950788,
      0.239226705764724,
      0.249835685620973,
      0.259416548440286,
      0.261534582928461,
      0.247541904193795,
      0.233694825111097,
      0.226894003728994,
      0.232208923844025,
      0.257303583962392,
      0.275628400254014,
      0.24963604999049,
      0.206516205128062,
      0.186045676501012,
      0.184471022549053,
      0.193736721953489,
      0.203042810727868,
      0.217920646913684,
      0.250916723931249,
      0.292661710871828,
      0.308675535616269,
      0.289530583377493,
      0.260092310780545,
      0.238518914194053,
      0.23016034079821,
      0.239452011041892,
      0.240260416540506,
      0.220441285920041,
      0.212014037380628,
      0.252679699459525,
      0.267053613545281,
      0.21895613891992,
      0.188712037951813,
      0.208956224559046,
      0.248353095545959,
      0.267225976517691,
      0.25465568653804,
      0.21356036159125,
      0.188419772405331,
      0.216250196819084,
      0.301278496211876,
      0.36561718038279,
      0.342002346651026,
      0.318377337236081,
      0.323853496433441,
      0.317948308206667,
      0.28124044981107,
      0.243075516366827,
      0.226338710773423,
      0.240008645729276,
      0.270153717434871,
      0.288722567050473,
      0.289843353902042,
      0.279666163877938,
      0.261827465387865,
      0.265952759221405,
      0.287047571425363,
      0.267459082983744,
      0.222661198732215,
      0.217308633996674,
      0.263352025089263,
      0.312040505111132,
      0.319867441453931,
      0.303630966973588,
      0.284636385404443,
      0.281015720703926,
      0.272447581610209,
      0.242996488592422,
      0.202997756408963,
      0.174782540315428,
      0.176391138136349,
      0.218284664772357,
      0.274947068084892,
      0.307054728054936,
      0.288432650160234,
      0.239676672265607,
      0.227985724091505,
      0.256112896289072,
      0.2624772890954,
      0.232522208732495,
      0.18621041369881,
      0.141204418428588,
      0.0283090723779603,
      0.100285204187903,
      0.162436682375806,
      0.169051637032778,
      0.141646122846135,
      0.136801001696262,
      0.164392591157008,
      0.204312967546126,
      0.228406676879319,
      0.219974104164679,
      0.209219490655554,
      0.19647256156586,
      0.211137577649489,
      0.259470918911191,
      0.2698944039054,
      0.223048585072472,
      0.202782769560797,
      0.242870048680535,
      0.301970371874751,
      0.339169094898864,
      0.312803934201276,
      0.223070099324861,
      0.13297338317673,
      0.10872441102599,
      0.16359942242633,
      0.28435123732711,
      0.335331686885597,
      0.263289691503192,
      0.173814553990772,
      0.124698171616644,
      0.121485253878345,
      0.151787158278515,
      0.194489070087797,
      0.247535333937774,
      0.292440402681106,
      0.305174887259092,
      0.310842857868289,
      0.316135636502555,
      0.279449002482177,
      0.235240473116781,
      0.210600925399706,
      0.207216292882163,
      0.229802745941727,
      0.261319614107913,
      0.297168828907869,
      0.335620802380143,
      0.333479212804178,
      0.276303291870248,
      0.270356156650871,
      0.318861286921109,
      0.321733090667234,
      0.279881607767178,
      0.277568587577431,
      0.316255521732753,
      0.324897283273237,
      0.323641800168395,
      0.337251275203349,
      0.309971891084628,
      0.264418508261379,
      0.260040895613469,
      0.276228411317502,
      0.254698300383698,
      0.229786246836216,
      0.258731196151334,
      0.31455719710672,
      0.317221952611267,
      0.265732423886592,
      0.211919101050022,
      0.183142335512646,
      0.191981065792831,
      0.239431757802571,
      0.293529186121025,
      0.281887535406472,
      0.229726561201229,
      0.212348973695004,
      0.248748632412058,
      0.275894367105584,
      0.269216136440743,
      0.279162806541966,
      0.318836166733423,
      0.334494092998521,
      0.303178109544115,
      0.269359362319681,
      0.268196756255555,
      0.297937674469258,
      0.292507588448356,
      0.263569101798042,
      0.261085904751416,
      0.288578616177482,
      0.312664530732029,
      0.311409037524781,
      0.290048278605106,
      0.266923588598604,
      0.267855315143274,
      0.304992766292521,
      0.341592055822197,
      0.346970680169498,
      0.329837860886813,
      0.307777571594763,
      0.301910818238897,
      0.32468078358555,
      0.340526379239011,
      0.288734452916635,
      0.232688892416263,
      0.247218016997606,
      0.322576633081315,
      0.327117122535786,
      0.245782210249837,
      0.212573041713593,
      0.244494541059374,
      0.296380028595066,
      0.301284844840338,
      0.292075309583567,
      0.303261234180089,
      0.316037771830964,
      0.312700073192868,
      0.293443974931111,
      0.271884158205304,
      0.255724834181451,
      0.24495108790203,
      0.247625117632,
      0.275142651402995,
      0.297974208618813,
      0.291589733370177,
      0.277136938590228,
      0.270774849336463,
      0.283889911527677,
      0.320472623226534,
      0.336890258661125,
      0.291431595987075,
      0.232077719382785,
      0.207446351164813,
      0.219868148137619,
      0.251618692760923,
      0.273837983198875,
      0.293259964612373,
      0.330147679258626,
      0.367827687235287,
      0.37446316879686,
      0.353383194533497,
      0.324292368763078,
      0.302008290711051,
      0.295787726130881,
      0.307373359999137,
      0.299863182720251,
      0.268729186712121,
      0.257740553239994,
      0.298958153148822,
      0.300905034783014,
      0.238692572859296,
      0.205675376344432,
      0.239429019288579,
      0.296950547534966,
      0.313238596573596,
      0.281580479443974,
      0.232064885886257,
      0.205091860166881,
      0.229637175934127,
      0.309264894473946,
      0.372278789346971,
      0.362855286469556,
      0.354067602386803,
      0.357175330171633,
      0.338530942343208,
      0.302622552023422,
      0.268447080767983,
      0.251379956015055,
      0.27056853993172,
      0.317423491505644,
      0.345404976443964,
      0.342387448728828,
      0.333911751146519,
      0.321529906686509,
      0.3292689396551,
      0.348651638985952,
      0.318564664441201,
      0.26761957190216,
      0.282695060911266,
      0.349612914666071,
      0.372859953483987,
      0.338404989185762,
      0.326060639712994,
      0.321736691461403,
      0.308000944265102,
      0.305508434156037,
      0.300310080259293,
      0.254270688835263,
      0.204596127457226,
      0.20450787917263,
      0.2641617019557,
      0.326087352899735,
      0.350740319198297,
      0.34547475900026,
      0.33121415119134,
      0.333268572623623,
      0.32695569585036,
      0.304416611365455,
      0.292033957221132,
      0.277182663582731,
      0.228235769572075,
      0.0242745577200371,
      0.0972660947049391,
      0.182971595771582,
      0.218089855147553,
      0.187162357269531,
      0.169031222820672,
      0.189192501617662,
      0.221084651501965,
      0.23943016900664,
      0.243446616111465,
      0.253411883106091,
      0.251315540483201,
      0.247416142614532,
      0.277498032964612,
      0.287267512404437,
      0.243514149237201,
      0.228971084978548,
      0.272157439053888,
      0.307169250267543,
      0.294351824736391,
      0.233044232851095,
      0.144690081929728,
      0.0806626332858516,
      0.0772860036278025,
      0.128197972531432,
      0.209787987790302,
      0.240857244792405,
      0.192206583984517,
      0.128447047931491,
      0.0922582345681868,
      0.0787143697253219,
      0.0841025026461061,
      0.124761346828831,
      0.222956994581811,
      0.325106891520846,
      0.344382424107102,
      0.295324440728498,
      0.226065519998875,
      0.147343586122268,
      0.130091952713512,
      0.180030490978804,
      0.261886558653654,
      0.332048131022101,
      0.33509610464221,
      0.316149624579983,
      0.348375973056403,
      0.374991958833867,
      0.333334845267425,
      0.311556935019983,
      0.326539529349659,
      0.310661728363141,
      0.287064517876879,
      0.317470226113469,
      0.366068755539059,
      0.351950611482732,
      0.324657662330269,
      0.333699063209766,
      0.313007495949206,
      0.279493120023354,
      0.314273928854001,
      0.362190380611104,
      0.32301882636821,
      0.274132659114403,
      0.302859278271875,
      0.348846361106383,
      0.336170318019162,
      0.299312694092606,
      0.294235947675205,
      0.307217287876321,
      0.273702097043585,
      0.211779510335772,
      0.164890078105061,
      0.13639912534807,
      0.125618459926411,
      0.150884542520908,
      0.23098040447834,
      0.319767707170922,
      0.344215124702495,
      0.330057261045887,
      0.332137750280993,
      0.317105809917123,
      0.281783630618024,
      0.274239525336396,
      0.312307028989907,
      0.366651708069467,
      0.352784949592446,
      0.288476479556215,
      0.258331256523822,
      0.290580543088147,
      0.331419185768785,
      0.305378092715181,
      0.244105325236836,
      0.205805739442365,
      0.2097072702282,
      0.24768176181975,
      0.279981813183942,
      0.280795223465056,
      0.27717642916446,
      0.275020539059141,
      0.280726962904388,
      0.306179180824002,
      0.326562488520284,
      0.286212667195791,
      0.236172662793297,
      0.237013986846029,
      0.278132469504652,
      0.264521950249015,
      0.207311176964025,
      0.209731462292582,
      0.270354351755908,
      0.327654950043232,
      0.321616792181622,
      0.306504105311695,
      0.311588718293062,
      0.309722547295813,
      0.2973996830451,
      0.294447558447712,
      0.300585036570765,
      0.293065504038065,
      0.273073292291927,
      0.272899963839364,
      0.307184245858547,
      0.331785161481935,
      0.313924509585662,
      0.276602755797284,
      0.254115422759583,
      0.259214941959928,
      0.28840076251214,
      0.326839379396882,
      0.343758214698514,
      0.320499153006328,
      0.288290236332542,
      0.306776008453393,
      0.354599982901405,
      0.363922015627563,
      0.34584024793179,
      0.353318092551965,
      0.372040738627126,
      0.359049152127385,
      0.332860367528998,
      0.323794188997678,
      0.328775886558239,
      0.319881003158051,
      0.290038454087615,
      0.262829404764783,
      0.264271300932873,
      0.312667266698061,
      0.373099025512479,
      0.351412665793939,
      0.278160547869744,
      0.259413030804618,
      0.305190435677553,
      0.360228221890889,
      0.368189941215986,
      0.33205855994662,
      0.273070583907416,
      0.230610489204367,
      0.237065693182311,
      0.289735900660313,
      0.322899411494639,
      0.313006287633891,
      0.334673256753098,
      0.377389509563256,
      0.366022199861121,
      0.31703548928526,
      0.28116685859377,
      0.284006749335277,
      0.334870767233389,
      0.390238994864768,
      0.366686187611498,
      0.311067639312319,
      0.312264284741625,
      0.344208784674039,
      0.358152181760578,
      0.347562978831701,
      0.314336094714295,
      0.282914257952694,
      0.287637832250926,
      0.319209832474366,
      0.31981774867534,
      0.297210720197888,
      0.315025879410976,
      0.344935006041107,
      0.344516959881588,
      0.349514726406235,
      0.34836312957746,
      0.294165222201816,
      0.247880465846946,
      0.268048381386729,
      0.32790303300258,
      0.334578294920291,
      0.305895593310031,
      0.30862265409193,
      0.34374408761811,
      0.367886066859849,
      0.323646467813685,
      0.263347156223947,
      0.262944982498782,
      0.287715088630345,
      0.258280426610829,
      0.012369957910572,
      0.0616358027719548,
      0.156013138658112,
      0.250193361630609,
      0.243155182372485,
      0.186631861433751,
      0.160476373667527,
      0.171839710230368,
      0.176293359144237,
      0.191771093381312,
      0.237904693070901,
      0.267444314088279,
      0.249624559289742,
      0.224714208741769,
      0.198729346917078,
      0.164617928481433,
      0.159380434179024,
      0.189055390098259,
      0.205628367052474,
      0.174845034489919,
      0.124706570203344,
      0.0835692311365928,
      0.0642722327285945,
      0.0767011611928731,
      0.116169101377068,
      0.157547925094631,
      0.163811912918546,
      0.13335043717565,
      0.100845497130819,
      0.0857359435980786,
      0.0725540148962113,
      0.0636939763224718,
      0.0763659701981552,
      0.125697956964581,
      0.187373180426622,
      0.212973266629168,
      0.181562727475167,
      0.126592575985308,
      0.0790279584607775,
      0.0712531101795802,
      0.106156241628431,
      0.169429298006645,
      0.239033827086688,
      0.270249248274824,
      0.264206462356222,
      0.280249696020943,
      0.31324960939338,
      0.294895741919214,
      0.248482083661877,
      0.215860424647664,
      0.19704936958825,
      0.198510470259387,
      0.229734345139098,
      0.271226648617323,
      0.279557188366029,
      0.273094195369857,
      0.27570784043935,
      0.260988286079189,
      0.244251609024079,
      0.284210845644019,
      0.332947536795891,
      0.321569826286289,
      0.302113157663469,
      0.315593608852078,
      0.304660965853498,
      0.260315325798079,
      0.244034365665594,
      0.274137793778825,
      0.308716489099152,
      0.263236731394699,
      0.174978711706569,
      0.113708328469806,
      0.0955787182782166,
      0.0908027721284858,
      0.0989778996745226,
      0.131366480054271,
      0.175780526462161,
      0.198490331149921,
      0.194468801071759,
      0.180555652940341,
      0.156278404108211,
      0.138014637236434,
      0.147612438584504,
      0.186984394885961,
      0.238194955588938,
      0.247671057803635,
      0.216627796660511,
      0.200634259977117,
      0.217312469809139,
      0.23892740220451,
      0.222181453705754,
      0.185828846592195,
      0.16560156566917,
      0.177832816829936,
      0.208316519994352,
      0.220687123432483,
      0.197856558469472,
      0.183797575402663,
      0.187369056071899,
      0.193034014242914,
      0.197399547724879,
      0.201828128620868,
      0.184937549346038,
      0.164242006148377,
      0.170221748752844,
      0.212510675694593,
      0.235416119061202,
      0.210712837690431,
      0.220908467460035,
      0.297568481668506,
      0.368843199996112,
      0.342273023504662,
      0.292781332764138,
      0.273547302372542,
      0.264877329859967,
      0.261314022949624,
      0.265207119088648,
      0.270937373904908,
      0.273925997219479,
      0.283583130009487,
      0.304959412065279,
      0.319875970227876,
      0.303571226890204,
      0.260015465905441,
      0.216312543717068,
      0.201074690008623,
      0.209469826184063,
      0.22387879966999,
      0.255205349479269,
      0.309976855269822,
      0.343632532394435,
      0.334926251342934,
      0.326480146193892,
      0.324078377809479,
      0.298548069292896,
      0.264909860211166,
      0.259077823081501,
      0.272701107143261,
      0.270679000581758,
      0.255737485245843,
      0.250880012419827,
      0.264405492125103,
      0.262704799725373,
      0.226761135543635,
      0.201354605009103,
      0.217173247488745,
      0.269284813209892,
      0.316171644006729,
      0.314279949806447,
      0.286313292181845,
      0.289218965071382,
      0.316271780990909,
      0.334079528810185,
      0.343357749782908,
      0.345672970363805,
      0.294217363192264,
      0.227644997911636,
      0.207650399328024,
      0.242696917075453,
      0.278042800244835,
      0.279577897658431,
      0.297198587307042,
      0.329685982802636,
      0.320368922778452,
      0.280619649661216,
      0.256786518157397,
      0.274517667972836,
      0.332749123546405,
      0.372787378519471,
      0.321961484911802,
      0.257282728497919,
      0.260923567893716,
      0.295290094851145,
      0.298533597824618,
      0.261752787944284,
      0.226405660812718,
      0.221567178772014,
      0.235687169445394,
      0.252111371861036,
      0.254864030474075,
      0.257346816745957,
      0.278425909060926,
      0.312181642063495,
      0.333462513434797,
      0.328489664926012,
      0.293452844119645,
      0.250428618556983,
      0.253072110502133,
      0.309001358775599,
      0.349483657416316,
      0.294187239948667,
      0.226284495907258,
      0.222217514437073,
      0.253280332102652,
      0.268772307503955,
      0.227484170815686,
      0.177387557016434,
      0.174133765691361,
      0.195247846759435,
      0.185746805487885,
      0.0119799741110301,
      0.056959777751694,
      0.134391279661619,
      0.217361724075427,
      0.219270956417271,
      0.164048640532448,
      0.119525531584347,
      0.113347029637061,
      0.120245152421588,
      0.150038799508976,
      0.194927767142505,
      0.214066908337696,
      0.196234311850846,
      0.169543228975854,
      0.138551082858359,
      0.112948978922009,
      0.10878903416291,
      0.120756577338483,
      0.127567669965114,
      0.108413192055442,
      0.0835725354394682,
      0.0773838231994023,
      0.10090699212649,
      0.144589209277039,
      0.180924558376982,
      0.182735033096171,
      0.163488503844592,
      0.13534138838661,
      0.112021257195996,
      0.0993117282517936,
      0.0825313995690421,
      0.0693827771877949,
      0.0736842394797945,
      0.103990604613642,
      0.143954008613649,
      0.162231313280296,
      0.136698176141789,
      0.0962578534987773,
      0.0645336768198382,
      0.0527697949647445,
      0.0638619642555593,
      0.0961277299318524,
      0.145231624438633,
      0.190674812234273,
      0.217077446198631,
      0.243196851976239,
      0.258396422318192,
      0.228495535904897,
      0.175892596838425,
      0.141110346501216,
      0.131662107634933,
      0.137931272496976,
      0.155335332716219,
      0.183776353722363,
      0.207981950060582,
      0.221416257513574,
      0.226459550011727,
      0.21642471753947,
      0.204894679745224,
      0.217030520881707,
      0.238601183296475,
      0.24460321139482,
      0.246716447438813,
      0.254542871346725,
      0.245040083718582,
      0.210927402283604,
      0.190185925858703,
      0.19677169739507,
      0.194819907426876,
      0.155133479833995,
      0.115639702426573,
      0.103423339948922,
      0.103788313049386,
      0.0953943277962667,
      0.0910718211258912,
      0.101524735825847,
      0.111156306451456,
      0.100583804731262,
      0.0891710503999428,
      0.086166850844136,
      0.0809764675314475,
      0.0765340183252339,
      0.0829168158854412,
      0.107055517199548,
      0.144564306599901,
      0.16513337062883,
      0.16270546436761,
      0.165383047402005,
      0.175354173751412,
      0.181956306459023,
      0.170684625420125,
      0.150012893224475,
      0.143615075274548,
      0.165932011819636,
      0.203454641485053,
      0.215930115661574,
      0.194402397251002,
      0.172359684663372,
      0.161869085631229,
      0.15394128239892,
      0.152860896494109,
      0.16050439571321,
      0.15211854291669,
      0.13327957511183,
      0.136239569775073,
      0.185053815191179,
      0.230824385526339,
      0.217581992163781,
      0.219953175456847,
      0.287401648746841,
      0.357232661942787,
      0.326977486637269,
      0.2697159075648,
      0.249777422340199,
      0.250497033354368,
      0.254097511497644,
      0.248334846139862,
      0.237564748334912,
      0.239879234289364,
      0.265391602179024,
      0.300944874762748,
      0.309604824066329,
      0.279488020048796,
      0.235948184645442,
      0.198914509907143,
      0.183142783688978,
      0.187066201998618,
      0.194258769279977,
      0.209442690433801,
      0.245573970852976,
      0.278022153597326,
      0.272846317774137,
      0.243648490766657,
      0.215085959630467,
      0.193302507955943,
      0.180284936483351,
      0.186022989590334,
      0.207625238656168,
      0.214834224006004,
      0.204024421967977,
      0.198655743367716,
      0.208575608330402,
      0.208308332176228,
      0.184500576000653,
      0.167800041696763,
      0.172575342425652,
      0.190020717644097,
      0.214626338890666,
      0.228279641375418,
      0.217131166522754,
      0.217144650505345,
      0.238235402485328,
      0.255529040318175,
      0.279905554538649,
      0.305894344078623,
      0.263847498904289,
      0.195857061240634,
      0.175136811507361,
      0.216105531888959,
      0.26289915537878,
      0.271454987038026,
      0.283280724490854,
      0.300934073810301,
      0.292915342175596,
      0.262984856485065,
      0.232544941069091,
      0.226563646583391,
      0.260434999589693,
      0.296892343514935,
      0.270333250875858,
      0.226558579971357,
      0.226934239109873,
      0.248265093308313,
      0.249204779179233,
      0.218443697893529,
      0.186368191816812,
      0.178187031683766,
      0.189283446493174,
      0.208940398334456,
      0.227979801906071,
      0.242520166737023,
      0.253399111940626,
      0.27077374021629,
      0.287940743124667,
      0.269707262725385,
      0.220133013358854,
      0.186869265300179,
      0.199196322728962,
      0.248522337918023,
      0.286030834081367,
      0.252201518605266,
      0.198919707606265,
      0.184006424918763,
      0.188360683409971,
      0.187130733711995,
      0.161725047938237,
      0.133473424311225,
      0.121876934253736,
      0.120927436283026,
      0.111958310054667,
      0.0116938015696649,
      0.0578938089056261,
      0.110309283226621,
      0.139583624844518,
      0.131006745422508,
      0.112032420539917,
      0.09815048958358,
      0.0984589819854917,
      0.110878287802996,
      0.130565246729033,
      0.147250177074595,
      0.149622725653176,
      0.137961337993679,
      0.118738628004905,
      0.101869788579502,
      0.0940010775713054,
      0.0905302131193695,
      0.0942689881289767,
      0.102380067549196,
      0.0974410145837988,
      0.0937550430046674,
      0.119351392177326,
      0.182830948371136,
      0.252153248343307,
      0.278115033482099,
      0.238504637629384,
      0.191676845894829,
      0.156544755715692,
      0.141316552924631,
      0.128980517752156,
      0.110341633883951,
      0.0926342505155615,
      0.0882516696839904,
      0.102677037664453,
      0.125906350877802,
      0.132153059893983,
      0.116926826550046,
      0.100763020942385,
      0.0805494598938638,
      0.062153221441763,
      0.0601231865230496,
      0.0810275590913033,
      0.120401652099834,
      0.158075133056929,
      0.185920041568033,
      0.219640375003959,
      0.235541206354739,
      0.20468936064382,
      0.154433757000635,
      0.119743308968509,
      0.110841839760736,
      0.113877081670452,
      0.121718307575454,
      0.143078555633968,
      0.176446651190916,
      0.201850883963358,
      0.211283410617782,
      0.203108570330792,
      0.188810178745617,
      0.183478321535287,
      0.188949566936757,
      0.192459552987373,
      0.193538056166135,
      0.203406147816294,
      0.212170114075841,
      0.19404260413242,
      0.16505358694777,
      0.148957718431645,
      0.134743428112441,
      0.112404969487216,
      0.106646225173396,
      0.115932515404099,
      0.111799497576507,
      0.0899993056174282,
      0.0781736916952433,
      0.0845972121779639,
      0.0926415483966137,
      0.0813765941163238,
      0.0658011914570841,
      0.0608936539278187,
      0.0602746739193732,
      0.0609465816409362,
      0.0710242247814315,
      0.098779456643183,
      0.137826247996138,
      0.158877378806674,
      0.158412394668546,
      0.162639131198095,
      0.172492108920195,
      0.174118146803672,
      0.160807073215424,
      0.145933844369282,
      0.142523460215733,
      0.157832101661475,
      0.192968377020292,
      0.214211806366544,
      0.20180860344103,
      0.177049443776067,
      0.161896932804317,
      0.151495887766929,
      0.152263897452798,
      0.161074187611239,
      0.147179982120048,
      0.118950838981377,
      0.117279199634865,
      0.165920336576019,
      0.21184738807968,
      0.201349747619393,
      0.198450988999567,
      0.248293823605349,
      0.307905100444331,
      0.293989097368977,
      0.253171350921165,
      0.24483524372671,
      0.254901273398751,
      0.261809742674238,
      0.252757395769224,
      0.231200640745272,
      0.222291472493608,
      0.24194950411848,
      0.274574021918067,
      0.281891821187436,
      0.263782173600426,
      0.233762890339661,
      0.197852206965224,
      0.175195971637702,
      0.17708870426649,
      0.18789421707631,
      0.195677464985414,
      0.208183788368653,
      0.220554422971973,
      0.211073207115593,
      0.187455089144199,
      0.168735105095739,
      0.159570701267881,
      0.153016717164569,
      0.162009302459013,
      0.190459552323264,
      0.201617712723385,
      0.185712760784305,
      0.177456301532407,
      0.185130044630965,
      0.185952669709085,
      0.169712812219596,
      0.153889418632112,
      0.151445516116263,
      0.164695815954456,
      0.191615950435359,
      0.202414804217608,
      0.186286295361676,
      0.181181751197838,
      0.19237534304369,
      0.203004082995916,
      0.220110778920431,
      0.235618080787555,
      0.204963984394251,
      0.163700050061584,
      0.162304851669507,
      0.214316329364906,
      0.264807762466027,
      0.26232014173661,
      0.261119026755008,
      0.27394492349546,
      0.2707366254398,
      0.250703445749804,
      0.223946640248342,
      0.207314214961535,
      0.22396381174132,
      0.254081413073565,
      0.240869518485733,
      0.211249412993961,
      0.212359880490902,
      0.228765896321248,
      0.232347757399144,
      0.210160933408873,
      0.17927859844693,
      0.164625586477617,
      0.169390619314605,
      0.189550046751683,
      0.216123550327819,
      0.233844635457722,
      0.242596939701839,
      0.254881330972893,
      0.261003580246651,
      0.237855228498487,
      0.196017228937245,
      0.166116806159613,
      0.159996866086988,
      0.181917429216754,
      0.217383222369216,
      0.223962621367424,
      0.202923668790243,
      0.187991514261987,
      0.176755424699774,
      0.163536551472873,
      0.14515466221973,
      0.127129722771977,
      0.111831432325611,
      0.0984479876089076,
      0.0846194256617496,
      0.00981044566532138,
      0.0483372790870281,
      0.0896774951681415,
      0.105037121372274,
      0.0929739753212234,
      0.0849608199941985,
      0.0916933040795872,
      0.11145865652365,
      0.129295638010897,
      0.129940486820596,
      0.123554230727601,
      0.121593438315672,
      0.128348271737269,
      0.122149762273986,
      0.105055502716792,
      0.0959448654253073,
      0.0946075369374186,
      0.100605576185119,
      0.111691122547242,
      0.116458787382363,
      0.131333413713623,
      0.167894155634583,
      0.2073721426932,
      0.234801680679494,
      0.253033027720544,
      0.252780406582595,
      0.214864727541366,
      0.173712209271012,
      0.16690308716981,
      0.15665324813106,
      0.136961548929584,
      0.114312471255456,
      0.10100425380029,
      0.10399984031295,
      0.120388645233922,
      0.121752541273655,
      0.114895297986668,
      0.121714782755329,
      0.112846118299159,
      0.0858094495526586,
      0.0699437907098833,
      0.0815490011069541,
      0.116574857320454,
      0.152791501127006,
      0.17634574071214,
      0.201813994745917,
      0.212881470881216,
      0.182934206932071,
      0.140063470856875,
      0.116704017219085,
      0.112574104944522,
      0.112891092292437,
      0.117942232149008,
      0.142157433692252,
      0.179650721263413,
      0.20771291999109,
      0.224215853524332,
      0.218640778467185,
      0.194349884080511,
      0.172569869909146,
      0.169163400700829,
      0.173723923573461,
      0.180762688327995,
      0.195102296812084,
      0.208904527500413,
      0.193423315301625,
      0.15595798887709,
      0.123419803419981,
      0.10425578278852,
      0.095252195301879,
      0.110702602235041,
      0.135859964551214,
      0.133438058012897,
      0.10583515610847,
      0.0883871673220143,
      0.0908661440256825,
      0.101468551551633,
      0.100415904118773,
      0.0895497913959281,
      0.0805853582305178,
      0.0771057705354321,
      0.0759441523499531,
      0.0805032219391942,
      0.0966235230601773,
      0.125765225871564,
      0.143232190215906,
      0.143860623143643,
      0.159783974005868,
      0.188350531377524,
      0.195241869581039,
      0.177702013605572,
      0.166519334863961,
      0.160718950167867,
      0.161431101056124,
      0.183567518148892,
      0.206213663874212,
      0.200763243387308,
      0.178443615622506,
      0.16473474196912,
      0.156756907190792,
      0.150497221171545,
      0.142802157961242,
      0.125195718616736,
      0.106252676771196,
      0.116039975636597,
      0.171352008792845,
      0.214799855201065,
      0.192964505322597,
      0.180160736922265,
      0.22335880683513,
      0.281773100638108,
      0.271033330397038,
      0.235674441663679,
      0.232701749153461,
      0.24335266567343,
      0.253266511048697,
      0.249806215572453,
      0.230353543896769,
      0.223105167812465,
      0.243161070344194,
      0.265881614777349,
      0.264275860632943,
      0.248956785477415,
      0.224429349377459,
      0.192216738573989,
      0.173160693082367,
      0.176283772688127,
      0.190278496367649,
      0.203362445750163,
      0.211436141157959,
      0.203543094271053,
      0.181935495008571,
      0.162352397149724,
      0.154290989895019,
      0.156659349799662,
      0.159913852098706,
      0.172720157133963,
      0.202682525324411,
      0.213997236698676,
      0.190700769410508,
      0.182092484747984,
      0.194951982299813,
      0.194700690126415,
      0.175668623982549,
      0.158597538728917,
      0.153645510270472,
      0.168428291715965,
      0.203103152224265,
      0.209935440680309,
      0.18153834210233,
      0.168682482056478,
      0.176606756075554,
      0.188829387015605,
      0.208519147394148,
      0.214743746999917,
      0.180443376856998,
      0.14847506405167,
      0.157131591380122,
      0.214578268253769,
      0.268577675968816,
      0.260290348762151,
      0.249069576141506,
      0.260490691571988,
      0.258528080789981,
      0.240675455329992,
      0.220506167949677,
      0.205798113812206,
      0.213109491542062,
      0.236178766967272,
      0.232007498878259,
      0.213124441195543,
      0.212935254431099,
      0.226044790360238,
      0.229156809154674,
      0.211745052092904,
      0.184469027992063,
      0.168169891871421,
      0.169454990282263,
      0.192421360081068,
      0.225195404546178,
      0.243999082921151,
      0.248734837842706,
      0.25480912365828,
      0.252871038215148,
      0.232899794909061,
      0.201547291630786,
      0.171459988481778,
      0.151080347327256,
      0.154503162645798,
      0.180516188262417,
      0.199375719992564,
      0.199882466894746,
      0.193203216018144,
      0.179571027041625,
      0.161463880453021,
      0.142960665239669,
      0.128809297954653,
      0.117468599768812,
      0.101564112676881,
      0.0814967322040559,
      0.00866340450318215,
      0.0420262793536264,
      0.0763642449214903,
      0.0907718870869397,
      0.0874232360383806,
      0.0901359796096295,
      0.109572930052439,
      0.140540136592395,
      0.157458899404436,
      0.145442907049538,
      0.131657237462868,
      0.125445590452028,
      0.129678852514811,
      0.128904848911863,
      0.119101071460078,
      0.112417293915274,
      0.115017723828416,
      0.127054147748276,
      0.14002383249522,
      0.15276609922495,
      0.177484301188979,
      0.193543364067232,
      0.176432734307918,
      0.157032102652042,
      0.188180720087612,
      0.261715686706565,
      0.254870545037791,
      0.198128325762412,
      0.170506034667885,
      0.145613542693028,
      0.119418965794906,
      0.105886657001734,
      0.110366270986279,
      0.123685020650088,
      0.137794202430746,
      0.133619082466821,
      0.125497125870605,
      0.138429001564607,
      0.140280133229825,
      0.115515475960947,
      0.0912857097126375,
      0.0905714311891171,
      0.11908959774893,
      0.16190444796556,
      0.1929960849703,
      0.212515800504896,
      0.213503150550609,
      0.182767608963942,
      0.148981313761747,
      0.137427509231878,
      0.135792020559638,
      0.13168654665993,
      0.137405908735722,
      0.167838085847482,
      0.204191463286409,
      0.22925499419692,
      0.247255745520051,
      0.232766553045598,
      0.189726050093639,
      0.161699667530577,
      0.166640734147047,
      0.175832545494564,
      0.185060354036248,
      0.206485100171946,
      0.218517926693046,
      0.188488477239467,
      0.145756760443811,
      0.115867092154824,
      0.0982917195323344,
      0.0949869901069944,
      0.12219495216324,
      0.156947092936684,
      0.154389258755373,
      0.121629950702872,
      0.10652583161933,
      0.123938989414177,
      0.146395683065642,
      0.143203785411027,
      0.130225938918552,
      0.129892365489576,
      0.138198466929642,
      0.135910995229657,
      0.122668394736421,
      0.117386189989687,
      0.135558930394407,
      0.145417428108527,
      0.140323967175991,
      0.156819502351138,
      0.190615104336658,
      0.203695678945906,
      0.195215163457841,
      0.186646950235704,
      0.174169478828224,
      0.1761734265918,
      0.204264604697344,
      0.223462474754276,
      0.208592568031273,
      0.185877039762788,
      0.174788708755404,
      0.170968286270542,
      0.161816147876097,
      0.143540264324003,
      0.123120860074715,
      0.11384797299805,
      0.139010346772872,
      0.210512262603144,
      0.253758032196018,
      0.208756976716073,
      0.176626379125685,
      0.20542292293498,
      0.258702611546577,
      0.257650531820983,
      0.233853119189922,
      0.230514141094803,
      0.239925330744292,
      0.248411811233961,
      0.238384711047742,
      0.217115556201475,
      0.21503451239848,
      0.235277346566459,
      0.25458673387788,
      0.261159473045446,
      0.251515910675399,
      0.2244455040373,
      0.19337948025035,
      0.182287894947826,
      0.18896642916176,
      0.203897278753855,
      0.22274968734606,
      0.229431403900236,
      0.20050835993462,
      0.164982310773051,
      0.153575811790677,
      0.163331923293156,
      0.173924186115045,
      0.178089596323778,
      0.191243263552983,
      0.222197294016306,
      0.236612859755432,
      0.219507174705006,
      0.21182534489604,
      0.216422128817145,
      0.20928142335114,
      0.1908934414059,
      0.173878047173773,
      0.164263347595789,
      0.175554156814397,
      0.219508314231872,
      0.236043746919368,
      0.200435836560928,
      0.173975233499182,
      0.178534491886801,
      0.197261058462866,
      0.225792060170401,
      0.227807207146839,
      0.181514501712309,
      0.147301345318421,
      0.163972741255903,
      0.231072924475039,
      0.284706888311298,
      0.265568071613175,
      0.246576428369691,
      0.260475112878234,
      0.261931764012358,
      0.244892140712374,
      0.225638074419859,
      0.209573829930235,
      0.212984224824475,
      0.235415005890752,
      0.239306782754128,
      0.228135526530322,
      0.228382116553814,
      0.234956149409055,
      0.234194340692506,
      0.22353080718483,
      0.200897388153028,
      0.178629168003401,
      0.178417203546049,
      0.210923470372483,
      0.252248706864103,
      0.26771524445468,
      0.264484122576771,
      0.261666022923032,
      0.254404860657869,
      0.236854549159719,
      0.209474703818469,
      0.176637951445164,
      0.148336835856521,
      0.144316327108445,
      0.171434927961219,
      0.205493459624116,
      0.217873362085935,
      0.207175086430865,
      0.189323631191808,
      0.175215610089762,
      0.164193895365207,
      0.156700688559612,
      0.14627083292632,
      0.121796012769613,
      0.0903007072858373,
      0.00796314754749317,
      0.0435923917217989,
      0.0796792569612361,
      0.0953407012827958,
      0.0952780906998868,
      0.103230364466315,
      0.133261631088956,
      0.174326009659903,
      0.184891809512214,
      0.161911697740959,
      0.156190175163643,
      0.151809098586412,
      0.137801360345199,
      0.138865957516021,
      0.149370886854119,
      0.145837943372976,
      0.143185691410109,
      0.157768801537795,
      0.179417656379096,
      0.207568263350061,
      0.219257963045855,
      0.185294375260881,
      0.129855146189252,
      0.111134070792001,
      0.15970070036872,
      0.265064757506778,
      0.2872568485399,
      0.210762139702699,
      0.144226574057724,
      0.110590688879342,
      0.0969622039469164,
      0.104700797555238,
      0.12533418684739,
      0.148662308804273,
      0.16566141479597,
      0.159173847935915,
      0.145598905436104,
      0.160259358197273,
      0.163277102651347,
      0.140098453939278,
      0.118035984073795,
      0.116362531685903,
      0.138510721115926,
      0.181624446502906,
      0.227104218340645,
      0.254315788190167,
      0.243416393283594,
      0.200878531585242,
      0.175883809001037,
      0.184448707734784,
      0.184252820218892,
      0.16648164697931,
      0.170607401110127,
      0.208995061451633,
      0.242757892069677,
      0.259224335471731,
      0.272198006895651,
      0.247969242179015,
      0.195837974645027,
      0.172567961877544,
      0.187429104266695,
      0.191716358211381,
      0.189452144556015,
      0.212357725896493,
      0.233214065254332,
      0.205047366675981,
      0.159636750331945,
      0.128886298022007,
      0.107352607316614,
      0.102025705702874,
      0.124505590847673,
      0.15165477973623,
      0.14995076040187,
      0.130954960424273,
      0.131826799380214,
      0.168817554701409,
      0.200241252391206,
      0.185979203036886,
      0.161409920413426,
      0.168519994268644,
      0.182604924138249,
      0.175056188803343,
      0.157184313033368,
      0.157612536939377,
      0.178804636428161,
      0.181971628546547,
      0.17335903452698,
      0.183704654166531,
      0.207725296700959,
      0.217114496499585,
      0.209087791179174,
      0.196269268715321,
      0.178784648240716,
      0.181445765852372,
      0.213431390579631,
      0.228988231568197,
      0.206586480579115,
      0.182847226322962,
      0.181111344775264,
      0.191249177626928,
      0.193864358926844,
      0.179596560187223,
      0.153797260905534,
      0.138895379380631,
      0.160605184139579,
      0.226381359992508,
      0.259752661301667,
      0.212105148682296,
      0.181748733614724,
      0.207033215894382,
      0.256479549844489,
      0.265772668422858,
      0.253045017078319,
      0.2533849112994,
      0.262035211976972,
      0.259690713722212,
      0.241763349563392,
      0.231646665853949,
      0.232358911160409,
      0.232167399688236,
      0.236768720055126,
      0.262599828033493,
      0.271341153242082,
      0.238836798266812,
      0.202283113784361,
      0.196366402963782,
      0.209835144720197,
      0.230647819269359,
      0.2587203994171,
      0.261212453653401,
      0.216831519461525,
      0.169472516450295,
      0.159193726703002,
      0.173485395225332,
      0.186040561521837,
      0.194482706802909,
      0.214504467066649,
      0.245108902681085,
      0.269881236751524,
      0.278290390675101,
      0.270729496567368,
      0.251958428896523,
      0.237625052301469,
      0.224428418617952,
      0.20277782232016,
      0.183895148065333,
      0.189089511285463,
      0.227691449481368,
      0.239362522767709,
      0.197333400692788,
      0.169484745691196,
      0.186084767595839,
      0.217120645589642,
      0.238996860173658,
      0.230770921859873,
      0.187212510509055,
      0.15961807965789,
      0.181408263511939,
      0.250744375142203,
      0.302339101993164,
      0.281589384880441,
      0.264484019430086,
      0.277294959307349,
      0.27882028715223,
      0.263837132668127,
      0.242165231867293,
      0.219650022721028,
      0.220166533443717,
      0.246009394422769,
      0.260941327746755,
      0.259420618151797,
      0.261637366281814,
      0.260738740498418,
      0.254862795892352,
      0.251260974354339,
      0.231645183350659,
      0.199204130127869,
      0.197915768138467,
      0.242441091289254,
      0.289785623437137,
      0.297894781411327,
      0.289437227998679,
      0.27679998760673,
      0.259468066621372,
      0.242148769122344,
      0.217789417414777,
      0.182451378037874,
      0.15256708412882,
      0.154213687556093,
      0.195563511465406,
      0.249215513799226,
      0.271672575296752,
      0.260742098056216,
      0.239621857985212,
      0.224241680791512,
      0.211531754349048,
      0.1989972015918,
      0.188795789684064,
      0.169147804169416,
      0.134222379120734,
      0.00878031060140818,
      0.0480005243994825,
      0.0882207631116271,
      0.10545187201335,
      0.102648434481767,
      0.104513631161801,
      0.12442863714623,
      0.159833044556419,
      0.176046197585303,
      0.173394580576213,
      0.193373579775878,
      0.195579838495375,
      0.165647486729797,
      0.162688510145482,
      0.184447150300419,
      0.173930529068841,
      0.152320146838934,
      0.155216601369141,
      0.183925223161727,
      0.222083153164981,
      0.219590211022849,
      0.157404890363535,
      0.0908784685280189,
      0.0799896276232268,
      0.125950481381719,
      0.203022554110865,
      0.223947269350779,
      0.172727577612042,
      0.11482822915792,
      0.0822732906619879,
      0.0739604718748883,
      0.0864697913111233,
      0.109851091738885,
      0.143344743588265,
      0.179295853664998,
      0.18558774492988,
      0.168864723656255,
      0.162314724738709,
      0.141490803967494,
      0.119275562429442,
      0.122038118006987,
      0.1496616104923,
      0.186975084545945,
      0.217803158583381,
      0.244009549475335,
      0.267625714785263,
      0.264841183549655,
      0.222857343642459,
      0.197082947180753,
      0.208036616430311,
      0.204432674596659,
      0.185628372503115,
      0.197656824432525,
      0.238214303546783,
      0.255995835637864,
      0.256740653966191,
      0.262769954234234,
      0.23874104306852,
      0.198386588186708,
      0.198474367007525,
      0.223480592818592,
      0.218026319299285,
      0.205087342908538,
      0.22705480180191,
      0.255188340151202,
      0.236135806874713,
      0.195276008907325,
      0.174245958347716,
      0.158387618528673,
      0.13109174633518,
      0.119325096726164,
      0.127114359206314,
      0.128159994376649,
      0.121536056542801,
      0.137506685295052,
      0.191843337929968,
      0.234932959277022,
      0.215789292886763,
      0.190850476150485,
      0.197143449062451,
      0.186132770007613,
      0.153369864720817,
      0.139307369320244,
      0.163158837556865,
      0.202245684559167,
      0.2169779979824,
      0.206420545151361,
      0.211383463301657,
      0.24077812219513,
      0.255823571949077,
      0.224443756494374,
      0.192059944802569,
      0.177488469374019,
      0.182306183713627,
      0.205539905954889,
      0.218270807720105,
      0.204488265408496,
      0.187428056430558,
      0.185672290172947,
      0.195489768896566,
      0.209547132674421,
      0.213655270230401,
      0.185424129266104,
      0.153246240061815,
      0.163207723729566,
      0.212131152045752,
      0.220444934795006,
      0.179708888194591,
      0.18242086936448,
      0.233720147531886,
      0.286883229962632,
      0.286612421821862,
      0.273482462836219,
      0.279487012602063,
      0.286683924366062,
      0.276793814018158,
      0.257116917424133,
      0.249732472120025,
      0.245956851701642,
      0.234555720591133,
      0.231536847261353,
      0.261824931254274,
      0.279242480053832,
      0.24567026919265,
      0.206881733955315,
      0.201253279027793,
      0.214085767112404,
      0.230700724837842,
      0.251446378565281,
      0.253494708477904,
      0.224879601383531,
      0.189592501634356,
      0.182009411143184,
      0.198711189923742,
      0.21504139730846,
      0.226872863207005,
      0.25065490953906,
      0.2828959134236,
      0.308469123153628,
      0.310792001762141,
      0.288382839124088,
      0.272543845461971,
      0.271578719131658,
      0.251235795667643,
      0.212219881620068,
      0.194300812120823,
      0.21079720355221,
      0.24019020514946,
      0.228148371189888,
      0.182014497855926,
      0.170955076395806,
      0.203438010408862,
      0.235939290739454,
      0.245392949444104,
      0.23333623210144,
      0.193720958315835,
      0.1631341743581,
      0.178088961587138,
      0.239774275002982,
      0.286004237119118,
      0.273009205432307,
      0.280927272882061,
      0.309130942856323,
      0.302507895623322,
      0.274488193035111,
      0.245919988902377,
      0.224485441881189,
      0.232751940131835,
      0.269101349698263,
      0.282952468286754,
      0.270588311958458,
      0.271782960472882,
      0.287554328236859,
      0.294264006690352,
      0.291750883417532,
      0.26892605826016,
      0.236160349635732,
      0.238406239184053,
      0.280134584047707,
      0.299331517153217,
      0.279525101623668,
      0.278997840437476,
      0.29152593442461,
      0.280730978473871,
      0.261944644589382,
      0.241132229875644,
      0.204158772691326,
      0.174605892281008,
      0.187489196602111,
      0.2385858587661,
      0.276533462663077,
      0.281740625887381,
      0.282598926132236,
      0.282505667937611,
      0.270796410599521,
      0.238231806228929,
      0.208491723830854,
      0.210872838088345,
      0.22421376890992,
      0.199130487907921,
      0.00967110130435313,
      0.0489517788873748,
      0.093656979161093,
      0.122168446329936,
      0.119810966017001,
      0.106223799256643,
      0.107340035706997,
      0.13643347390811,
      0.160181388392362,
      0.171990554507863,
      0.200847765548935,
      0.205652674618355,
      0.175448035499165,
      0.162481319808387,
      0.16721814687189,
      0.148406941561778,
      0.124675479246733,
      0.130533556425178,
      0.164109246126494,
      0.177027890660588,
      0.144069947371114,
      0.0954041725289696,
      0.06317823772607,
      0.069955710652794,
      0.108554062507307,
      0.155450925780366,
      0.164773684342113,
      0.13734095195764,
      0.100340712258442,
      0.0723786861029014,
      0.0584319567351263,
      0.0641271634136978,
      0.0854838394191717,
      0.12196107320349,
      0.163062887950082,
      0.183590694823816,
      0.181407904243843,
      0.153172546555308,
      0.102822236572666,
      0.0779195277954065,
      0.0964108714898151,
      0.139697799485679,
      0.193182976483493,
      0.226471072110061,
      0.234091589048985,
      0.244632502655986,
      0.262432461638964,
      0.234873659245964,
      0.200914625677532,
      0.196080428532851,
      0.193554256587469,
      0.18708496537207,
      0.207734750419462,
      0.243993844465124,
      0.251573867323125,
      0.241408412920295,
      0.239147775619463,
      0.21740441510972,
      0.192500939649406,
      0.208813075495685,
      0.241114618468153,
      0.233240589920624,
      0.213185476982202,
      0.229516746572472,
      0.25528511301283,
      0.235643413919569,
      0.203070858552833,
      0.205427055811384,
      0.200677244110222,
      0.150616546357947,
      0.113013048482236,
      0.117845621357092,
      0.119250396481177,
      0.102474710801688,
      0.106651071668653,
      0.14220424407113,
      0.179117781832578,
      0.187934431950666,
      0.187666735831382,
      0.182079542583484,
      0.156639568359581,
      0.122581118304226,
      0.114679917531639,
      0.141817049665565,
      0.182280689594938,
      0.198679638302333,
      0.182653354542497,
      0.173431301092977,
      0.194616719786657,
      0.217968875489206,
      0.196751538020011,
      0.173637516509563,
      0.175205889741839,
      0.190245845562982,
      0.206545201735569,
      0.209850469683167,
      0.192723759299729,
      0.171394870515128,
      0.156548429714005,
      0.160944448181264,
      0.188669947998003,
      0.210344333084766,
      0.182116072963456,
      0.142403080835858,
      0.142418569310469,
      0.181346883485487,
      0.190212724768031,
      0.161311196856962,
      0.176622113717334,
      0.24521141579101,
      0.310695536376812,
      0.298345865663633,
      0.265713827078843,
      0.257350157505436,
      0.255598513457556,
      0.248613814348086,
      0.244577941980644,
      0.242004849518483,
      0.236470354728882,
      0.235673532585435,
      0.250669549577426,
      0.269889343492089,
      0.261687885162705,
      0.223845520164386,
      0.192870830871237,
      0.19038221384136,
      0.19895169011975,
      0.204133338824639,
      0.207235171368013,
      0.216181444288768,
      0.222304489996829,
      0.217110876582693,
      0.219033853301592,
      0.234117312157075,
      0.237762152781161,
      0.232052091287675,
      0.246849066667762,
      0.273552886476724,
      0.278123070353741,
      0.257536121079893,
      0.23693920134565,
      0.250709631562361,
      0.271813033237347,
      0.245320795041286,
      0.197836881602084,
      0.191551101327997,
      0.224465876622117,
      0.248099096706483,
      0.217247560099916,
      0.172062893035457,
      0.168684820052564,
      0.198015040146995,
      0.230839540769553,
      0.258850121528773,
      0.258181987976827,
      0.206005412942662,
      0.157963016974645,
      0.162484213088601,
      0.216478452919673,
      0.259217333369378,
      0.255165848359527,
      0.275757239452645,
      0.307924454661395,
      0.292238759778406,
      0.2511934185495,
      0.222716832066284,
      0.220697480804751,
      0.252846975747423,
      0.294681403897469,
      0.285332888365285,
      0.251522779997539,
      0.24724712860644,
      0.269297243163118,
      0.281963707696521,
      0.271710469661591,
      0.243655035314732,
      0.226376949893188,
      0.236137963966447,
      0.259955492299975,
      0.261449134209434,
      0.254403682706834,
      0.269605273542224,
      0.293134215270757,
      0.289501145642158,
      0.26664363866652,
      0.238701886381103,
      0.206628255972565,
      0.193951365037144,
      0.22468500649639,
      0.27085304430415,
      0.265253541476663,
      0.233571317458735,
      0.226196666572826,
      0.239736802159123,
      0.246287314853821,
      0.21450965337466,
      0.173933464181784,
      0.172651153725798,
      0.192664131361555,
      0.178592560170213,
      0.00950508818650102,
      0.0496473922531776,
      0.099147354421437,
      0.136723473477926,
      0.135493589214528,
      0.113146146782596,
      0.10300923432073,
      0.122740280459781,
      0.139250392086029,
      0.141755147794825,
      0.155393948022363,
      0.16083387735323,
      0.148444297518332,
      0.136017310929554,
      0.12409805070803,
      0.106146273690161,
      0.0924710972528045,
      0.103898361465531,
      0.134308731802558,
      0.132546820353961,
      0.0949611599340736,
      0.0708088245842226,
      0.0738706762772928,
      0.100215995034901,
      0.132474742188329,
      0.150142793252302,
      0.150963474716022,
      0.136234883966248,
      0.104006780910579,
      0.0717081674628719,
      0.0519121512840776,
      0.0525638798874617,
      0.066444983934034,
      0.0910852889684387,
      0.126109902594695,
      0.153206534390122,
      0.152886647273953,
      0.124077604533226,
      0.0781155493136104,
      0.054075505141731,
      0.0630757814067729,
      0.0912852162274214,
      0.133864480105316,
      0.175180392435747,
      0.195350897251587,
      0.210663606702511,
      0.230361307115029,
      0.213231742926179,
      0.175792251977072,
      0.153704131777775,
      0.151428143651703,
      0.160402585636421,
      0.185710219754539,
      0.21748794695863,
      0.227051204023371,
      0.214645840012127,
      0.201790581203653,
      0.185294471700959,
      0.175623002105506,
      0.192116773525338,
      0.216944744811359,
      0.211439920756902,
      0.194808829339622,
      0.206269017402979,
      0.224455475516599,
      0.202227971338467,
      0.176647615054303,
      0.185197215391889,
      0.182128181904822,
      0.136568999167097,
      0.0955468223851963,
      0.0858230310661345,
      0.0844499336350621,
      0.0776170548093231,
      0.0814458841927563,
      0.104424626806705,
      0.134477533420449,
      0.150307550991693,
      0.145828301006282,
      0.124495515485898,
      0.101298166258603,
      0.0890456873980421,
      0.0946476246376331,
      0.118544580980247,
      0.152561941479012,
      0.162333999420114,
      0.145286246951412,
      0.134195967003992,
      0.142729986959583,
      0.158165962724851,
      0.161925660278252,
      0.165240348258026,
      0.168700416571584,
      0.179585036948962,
      0.198587102404339,
      0.206228971924026,
      0.180089221097675,
      0.150498100614778,
      0.128821430539224,
      0.132048080063939,
      0.158188659789807,
      0.178707837979955,
      0.155127330770495,
      0.127186706661839,
      0.129643374164091,
      0.165067252997949,
      0.177440167516982,
      0.157076456194142,
      0.172000846100769,
      0.245321079783004,
      0.316574432318724,
      0.300968782563768,
      0.25850567664576,
      0.242146994151828,
      0.236391093123877,
      0.229494579413035,
      0.220367569112067,
      0.211249204926122,
      0.211813485179779,
      0.228494540578818,
      0.258484925729619,
      0.273803581769535,
      0.252534255116439,
      0.210167205952269,
      0.176775162753598,
      0.174818853950611,
      0.187760399256747,
      0.192033727713169,
      0.190377729535255,
      0.204424200998933,
      0.21958080929443,
      0.21956403320345,
      0.214212480425731,
      0.216450155336642,
      0.214989437479072,
      0.20484765055487,
      0.206247202414603,
      0.227106656797341,
      0.235418423331188,
      0.216071413041508,
      0.197235652575568,
      0.207546934059143,
      0.21726583161138,
      0.195901054291313,
      0.171752986792618,
      0.172585042865082,
      0.190356741975688,
      0.208531257556859,
      0.196143036724414,
      0.165508712491141,
      0.162232835946559,
      0.183605920829806,
      0.208654408409418,
      0.241470385518025,
      0.252262552305737,
      0.206528202887455,
      0.157887514240531,
      0.161431633991909,
      0.212984653163806,
      0.249166586069539,
      0.23531599269327,
      0.250911995941488,
      0.283601501050265,
      0.271071244822648,
      0.230898728204741,
      0.20619217781345,
      0.209345570529432,
      0.244360947349939,
      0.284373486963157,
      0.271907206084153,
      0.234446405187431,
      0.218967650292023,
      0.220805882041946,
      0.220822454756082,
      0.207832987098319,
      0.186540884663349,
      0.181369379351767,
      0.196546562080788,
      0.216082974958447,
      0.224534740915327,
      0.236257515331391,
      0.255568756715356,
      0.268265541409248,
      0.265909441959741,
      0.243613128942865,
      0.211383854833643,
      0.185737479671445,
      0.18813073370097,
      0.225501037988155,
      0.261563989284861,
      0.233858219679493,
      0.188633507653559,
      0.175351757412386,
      0.182484163780881,
      0.18480592954534,
      0.161246639523455,
      0.130067289840884,
      0.119317304377251,
      0.12156236039207,
      0.112153949216704,
      0.00846474458020574,
      0.047158325735742,
      0.0953824292813227,
      0.133524465747611,
      0.136519476086482,
      0.116218839336509,
      0.0973000222816331,
      0.100827976759112,
      0.110512617433954,
      0.109290082187851,
      0.111685177597223,
      0.12115169093518,
      0.12298656114639,
      0.110121672437469,
      0.0973323568537649,
      0.0887291211096893,
      0.0777997274230342,
      0.0768369645066233,
      0.0909552497033746,
      0.092700370700925,
      0.0827015796989879,
      0.0924875188568261,
      0.138608014363749,
      0.199118015381302,
      0.226135744228174,
      0.197422693251015,
      0.172073141526563,
      0.151216871451881,
      0.116414000429253,
      0.0835044662013176,
      0.0622096348451042,
      0.0546632339458824,
      0.056931833728001,
      0.0713404154821882,
      0.102953786450891,
      0.131952946632189,
      0.129213870286139,
      0.106125328455908,
      0.0738608526196388,
      0.0520800630357108,
      0.0524073635992349,
      0.0722797101286615,
      0.106997983439795,
      0.141319419106448,
      0.159962052775915,
      0.18247173087568,
      0.207982505545582,
      0.194032384475966,
      0.149242486979845,
      0.114416734912861,
      0.10781032379483,
      0.118924500867877,
      0.140146316926856,
      0.170725205783388,
      0.191476691330077,
      0.190655855014225,
      0.181344112268971,
      0.171322355224369,
      0.164994214148498,
      0.172562232201991,
      0.190336629782759,
      0.190749004639808,
      0.17895320986823,
      0.186218851853835,
      0.201908348936295,
      0.186489061679409,
      0.168248413732824,
      0.177110881759153,
      0.171649024022663,
      0.130519825129216,
      0.0976908378383425,
      0.0977001669832163,
      0.10302681745234,
      0.0909687425313147,
      0.0748911736768113,
      0.0743591431855579,
      0.0878813925428206,
      0.0978218628269726,
      0.0913420898374496,
      0.0779945381423943,
      0.0706002826476742,
      0.0730358769324877,
      0.0844399377699976,
      0.108096002777533,
      0.149309974130061,
      0.174830398615587,
      0.157195905317034,
      0.13043496917933,
      0.126019731332991,
      0.139077770519217,
      0.156476119877994,
      0.165498076452665,
      0.159833205021297,
      0.16180502696301,
      0.180912750287384,
      0.192750850284008,
      0.173702898404738,
      0.150722145733582,
      0.134389419463829,
      0.130955219638862,
      0.138659440390067,
      0.148182874244159,
      0.136270597768547,
      0.122643692292574,
      0.133142602420193,
      0.17185419688273,
      0.186138472383243,
      0.159797640314994,
      0.161744650467875,
      0.219969605229847,
      0.281121384676032,
      0.272769480625581,
      0.243476145819831,
      0.236807989684855,
      0.235548099267243,
      0.227720584628841,
      0.210397458524624,
      0.19342900242628,
      0.192502066780888,
      0.21072942812667,
      0.241600550848232,
      0.25695480956956,
      0.241063886078267,
      0.201112288017105,
      0.161761952758717,
      0.147157698415709,
      0.156798204026558,
      0.171645430360899,
      0.185651842609584,
      0.200523658511035,
      0.206378677968731,
      0.195795801447002,
      0.181044407386099,
      0.175223227094021,
      0.175093811723052,
      0.168096344699007,
      0.165732876942104,
      0.189178275067104,
      0.210833698275927,
      0.198056260399316,
      0.178155036240893,
      0.17760348502546,
      0.177624080403529,
      0.165595004777865,
      0.155598936739316,
      0.154538522496949,
      0.167744871660875,
      0.195064686831242,
      0.194221389644717,
      0.162001390828313,
      0.156003615717424,
      0.175424043224247,
      0.192241367297326,
      0.206630316805482,
      0.212208541878068,
      0.181902357814935,
      0.148194207726648,
      0.156370045207098,
      0.20568905296858,
      0.237673859353291,
      0.21897011825615,
      0.229196878040946,
      0.2590895423476,
      0.247974158798984,
      0.206050698108648,
      0.179283157908065,
      0.17931488564577,
      0.211026901044135,
      0.25496695708081,
      0.254253549014412,
      0.218256046709589,
      0.196425235829117,
      0.192990861566539,
      0.191595950832743,
      0.179100624276266,
      0.162372527236916,
      0.159365976815025,
      0.173614211940022,
      0.193835985845155,
      0.208425551607963,
      0.219533252419194,
      0.234882948498119,
      0.246510727117929,
      0.248056630317261,
      0.226754872148339,
      0.189977152028631,
      0.160804374471793,
      0.159288160727728,
      0.188018214342982,
      0.221802641206311,
      0.211390838524873,
      0.178569792517322,
      0.162143294746464,
      0.15794401430217,
      0.151762441589602,
      0.134101063132269,
      0.114480886981168,
      0.100461612192037,
      0.0877543467954409,
      0.0725834141199893,
      0.00496536830206422,
      0.0329600079066167,
      0.0715534079114163,
      0.103650844115149,
      0.108755926131533,
      0.0957680883985368,
      0.0808968717803113,
      0.0847322805736247,
      0.100964397454192,
      0.104191076024708,
      0.0996056302624313,
      0.105797506685247,
      0.111195641796118,
      0.100927919649369,
      0.092147607098017,
      0.0904030644490677,
      0.0820101301637875,
      0.0753591863055963,
      0.0823251493649831,
      0.0925982736132677,
      0.107296225581722,
      0.138120141101497,
      0.185136664850779,
      0.232713627867468,
      0.25819031751826,
      0.241398553151725,
      0.201609264971854,
      0.165302780713449,
      0.146118008082124,
      0.132911027106226,
      0.119796553135935,
      0.104973872533494,
      0.0905848665554277,
      0.0848013293995911,
      0.100139151240282,
      0.121955931761574,
      0.121033743754125,
      0.108204670864928,
      0.0839036564871202,
      0.0594861604030471,
      0.0550096512209294,
      0.074848206718186,
      0.110615935740522,
      0.143476886082791,
      0.162101518957377,
      0.180755927143616,
      0.197470116000298,
      0.179717296796786,
      0.137381849016158,
      0.105948897623603,
      0.0989842562528271,
      0.104848395387382,
      0.114694952632636,
      0.134904644112079,
      0.158690749849383,
      0.170153433042744,
      0.170605271444127,
      0.165116374676854,
      0.156585374345371,
      0.155251581495742,
      0.165908581288851,
      0.169335952159483,
      0.166222626703476,
      0.17419444755852,
      0.187339664597055,
      0.175988896821315,
      0.156299112359756,
      0.147689725783905,
      0.140248070498061,
      0.122209288204394,
      0.118219198326172,
      0.132679883934968,
      0.129224551728518,
      0.0973295767975054,
      0.0695325359934511,
      0.0650497942398296,
      0.0745961366505855,
      0.0771496753652909,
      0.0673555014315217,
      0.0610176938345794,
      0.061814413318999,
      0.0647576066234224,
      0.0730426201430041,
      0.0986092513188812,
      0.147894490560582,
      0.176420067262697,
      0.153699731371237,
      0.128117233484696,
      0.12911535812839,
      0.147953911267842,
      0.1708949518807,
      0.176176546800318,
      0.162794642478428,
      0.155849372968243,
      0.168681796405956,
      0.181818715660989,
      0.174389057182644,
      0.160506375197395,
      0.153339097983231,
      0.144852774999712,
      0.130834832106969,
      0.123613130359921,
      0.121574641438083,
      0.119094566318467,
      0.136617439217,
      0.180208073868021,
      0.19748503332387,
      0.161193017965439,
      0.149717221561962,
      0.192073103369435,
      0.245994770495121,
      0.245720826505629,
      0.230515149296565,
      0.235494644839885,
      0.239604603540698,
      0.228875718446846,
      0.20588776316454,
      0.186107101553886,
      0.185529771496787,
      0.202136870487119,
      0.227003077117089,
      0.235715986248176,
      0.222673695948009,
      0.194975763559576,
      0.163974569300771,
      0.146648235091118,
      0.15108686170083,
      0.169508736560565,
      0.189655473484794,
      0.203481351347018,
      0.20294200666459,
      0.186546943703045,
      0.167891964084472,
      0.155852384194964,
      0.14908064600833,
      0.143093972659062,
      0.146589012755921,
      0.171175627489181,
      0.192109778759763,
      0.181396881164752,
      0.165074716887629,
      0.163746067036215,
      0.163664737554168,
      0.154406444750165,
      0.143917736335262,
      0.14082111048294,
      0.159384359077774,
      0.195659499416216,
      0.19306465860863,
      0.155258624083961,
      0.147184436758294,
      0.167085451712404,
      0.186162813080785,
      0.198964128585716,
      0.196304242167046,
      0.162554631769389,
      0.132333906245064,
      0.142781663358377,
      0.196388356477613,
      0.237317209830969,
      0.219442352086782,
      0.216239092145094,
      0.239076002938094,
      0.232534918480077,
      0.193815593496641,
      0.166525957074468,
      0.164108514937083,
      0.189019279681116,
      0.226691626418266,
      0.233507431040884,
      0.210582301020574,
      0.194375402268629,
      0.190473257088606,
      0.185335151861634,
      0.170027694809031,
      0.153257147820842,
      0.149513283684573,
      0.160858516995893,
      0.182792902843083,
      0.204643413916941,
      0.213774570110961,
      0.217128681064955,
      0.224709622352979,
      0.229991852191958,
      0.210143099279936,
      0.17183715130461,
      0.142226770534559,
      0.133267989497786,
      0.15002498853452,
      0.183829347883261,
      0.198579316058943,
      0.186976523484288,
      0.170380406110742,
      0.153696383413157,
      0.139326260898937,
      0.128179140948685,
      0.118816829614313,
      0.107201923845733,
      0.0877109292747438,
      0.0644268678876234,
      0.00279154411554618,
      0.0247363020612543,
      0.055594758834933,
      0.0767682671354508,
      0.0808224664557396,
      0.0839878020205428,
      0.08600457656931,
      0.0978373509561671,
      0.120892264142126,
      0.128600694085811,
      0.115946806758894,
      0.111124052429949,
      0.110353194812952,
      0.102541507035774,
      0.0992580680238298,
      0.103896930742668,
      0.106208695849739,
      0.110273287367552,
      0.117918883214257,
      0.128635255642648,
      0.15005865883712,
      0.170537450403335,
      0.168997586928924,
      0.162137925281151,
      0.189182377140348,
      0.239803990830603,
      0.227416105285112,
      0.195275288958284,
      0.1961175207598,
      0.190229221660484,
      0.196187692775928,
      0.204211777483585,
      0.179673920822926,
      0.124782741128864,
      0.104548781319663,
      0.113696038543383,
      0.114033984551273,
      0.126506849588047,
      0.128058340843535,
      0.103711791847845,
      0.0835765354294546,
      0.0879033553195978,
      0.115733617004819,
      0.153845205325677,
      0.185703174376094,
      0.199621413082048,
      0.193613181073978,
      0.165759305995605,
      0.137162834122389,
      0.122104621933629,
      0.118733934977944,
      0.11865640275466,
      0.120615423671661,
      0.134906473606738,
      0.159814657227634,
      0.17542472587213,
      0.175236018442957,
      0.163870087252638,
      0.150846699373476,
      0.151346519306854,
      0.164777250776298,
      0.167931542376263,
      0.163302167863943,
      0.168318911869049,
      0.178031857104242,
      0.164077179715454,
      0.13753116496657,
      0.120599243629645,
      0.118351430425103,
      0.115875338046283,
      0.133072722234709,
      0.159004924044052,
      0.157174881352283,
      0.124324301613293,
      0.0990712845441237,
      0.0936148856671104,
      0.097990320878919,
      0.0920657188311303,
      0.0778349178339175,
      0.0689572201302232,
      0.0668676406506295,
      0.066804942632039,
      0.0718874194963523,
      0.0958123509791426,
      0.13984523469487,
      0.156391932087608,
      0.132439261531689,
      0.125858751482203,
      0.146823586343203,
      0.173461840300835,
      0.199312938438185,
      0.209506856856774,
      0.194010655759123,
      0.173236055408337,
      0.173852010238209,
      0.187542385944603,
      0.187416945024469,
      0.17336545525965,
      0.160899418429673,
      0.147423379868235,
      0.131793573895671,
      0.121057388598357,
      0.111773466350853,
      0.104898070589028,
      0.122756859275632,
      0.177293027995015,
      0.219346409443299,
      0.185928857664081,
      0.154333583398054,
      0.174143499874659,
      0.223591258449989,
      0.22986215430351,
      0.218500744465833,
      0.222802925028367,
      0.230613651360211,
      0.221786556463063,
      0.198126717174845,
      0.178850600465387,
      0.185093814913008,
      0.203026803996494,
      0.219572051322278,
      0.222721941105227,
      0.213425875896413,
      0.195377125388177,
      0.175350067504798,
      0.161676424596566,
      0.16070303408318,
      0.176670963388981,
      0.198087365105261,
      0.201006385688573,
      0.180305869425722,
      0.160306194919646,
      0.152811624215696,
      0.149562889144765,
      0.142703516893246,
      0.142974615555077,
      0.158999919116468,
      0.185138653988195,
      0.198728786186878,
      0.186690003929444,
      0.17035132879565,
      0.163974813789905,
      0.159272880616436,
      0.151148380129934,
      0.141565897596643,
      0.135886067285701,
      0.153145333068,
      0.19384139859791,
      0.194282724303629,
      0.155160530243569,
      0.142002686094371,
      0.159667807376357,
      0.184372619412618,
      0.207522661513304,
      0.209080188187183,
      0.169638455886698,
      0.133958661702986,
      0.146204295072316,
      0.210623938310318,
      0.26240815361129,
      0.238892347402353,
      0.218752748070694,
      0.233521616340692,
      0.234688845415408,
      0.203201306902544,
      0.173853598083906,
      0.164639534124871,
      0.180578779013884,
      0.205211289881174,
      0.211832407315764,
      0.205602251612592,
      0.201738435470902,
      0.198752514215306,
      0.190661575132421,
      0.177179863943946,
      0.161803335525593,
      0.152099200057015,
      0.154703256298155,
      0.178869644290841,
      0.212710677219233,
      0.226151359229309,
      0.218332799528154,
      0.213763073580408,
      0.215832731614407,
      0.202225599101815,
      0.171263213256918,
      0.143146088768486,
      0.126459277851832,
      0.131029705309328,
      0.159110527336705,
      0.189446919759821,
      0.199278816995695,
      0.185938232727731,
      0.162510088414147,
      0.147036463089663,
      0.145819511138412,
      0.146560640821393,
      0.135610520584894,
      0.106417326194058,
      0.0727036895820048,
      0.00357807233124254,
      0.0300349010962041,
      0.0647489288681624,
      0.083804324029453,
      0.0847397151303542,
      0.096823851530698,
      0.121627558633585,
      0.149756993384073,
      0.163654351028368,
      0.155873489919473,
      0.144006882940489,
      0.135187934754727,
      0.126494437265785,
      0.131456249660628,
      0.143732788847314,
      0.148635697679204,
      0.158749073091139,
      0.176906689032858,
      0.185061395206403,
      0.198337758396827,
      0.210748758435029,
      0.185815982998546,
      0.137332927585449,
      0.119503088971092,
      0.165133196323843,
      0.261926904393716,
      0.284396677766377,
      0.231603624002231,
      0.175376355895505,
      0.140527358425146,
      0.149222432416025,
      0.181049115193911,
      0.184059352129415,
      0.152569059247417,
      0.135113137735839,
      0.133729254225279,
      0.150722276432163,
      0.206817762440679,
      0.229621272241373,
      0.19191005213906,
      0.145072794644309,
      0.123167286481715,
      0.131525888978727,
      0.16549649734733,
      0.20877698932906,
      0.230415035440622,
      0.215607395696174,
      0.174541901264467,
      0.153713210230983,
      0.160951382285624,
      0.160893466206734,
      0.148790984225111,
      0.151270844369143,
      0.176028575305922,
      0.204726416545927,
      0.223621097906832,
      0.222841989490072,
      0.191716686590885,
      0.161383952655025,
      0.165948920268808,
      0.188769339156483,
      0.185705382633623,
      0.170148107196134,
      0.175946182948671,
      0.195972596912647,
      0.186998551370096,
      0.156316346321193,
      0.132744338536394,
      0.120733792503786,
      0.115356887795898,
      0.156329104443378,
      0.227532777270865,
      0.253311273525184,
      0.218425239340522,
      0.187513466964843,
      0.174365207314541,
      0.155859881577179,
      0.129515194777406,
      0.121937492737913,
      0.127185111315375,
      0.127172631656593,
      0.116747482812552,
      0.114444475334702,
      0.136792114486848,
      0.171392326997508,
      0.176073039171793,
      0.163327574113681,
      0.165178691706647,
      0.178423135841021,
      0.191118316074695,
      0.212393691285414,
      0.229264084614586,
      0.228602474044837,
      0.226414869600155,
      0.238492540179067,
      0.237269974496636,
      0.216570920082621,
      0.194549028102398,
      0.176626452902389,
      0.163679038495048,
      0.164024558884517,
      0.164817187350385,
      0.139248839526727,
      0.115632311213808,
      0.13846891772266,
      0.219474451337254,
      0.277208434214521,
      0.228385056365592,
      0.175897493381873,
      0.18115216687298,
      0.226047317265563,
      0.236382419335281,
      0.223691202153779,
      0.223079311681982,
      0.232308854903852,
      0.225321734284067,
      0.197976078612072,
      0.175076404710356,
      0.180452706472826,
      0.195259865476402,
      0.208522460347343,
      0.219207802292241,
      0.219724012524272,
      0.200389789593187,
      0.182441261740416,
      0.178293811969619,
      0.185697383532103,
      0.206408179562081,
      0.226084551201061,
      0.209552654086758,
      0.168399116510465,
      0.146629580921741,
      0.14930511924904,
      0.15723254994728,
      0.157099617919894,
      0.163911132057876,
      0.189796834585277,
      0.224603951188219,
      0.239710911489137,
      0.22495517753226,
      0.202415125833725,
      0.187345990857317,
      0.179493136606166,
      0.183226018845922,
      0.180389511599044,
      0.165053106430455,
      0.166760704900375,
      0.206725153524683,
      0.216334526058499,
      0.171901057187871,
      0.145943318595672,
      0.163358440804891,
      0.198084954234728,
      0.224809918954791,
      0.224922898173826,
      0.182313609649354,
      0.146899788094754,
      0.168120162768703,
      0.243470390684197,
      0.298367525101561,
      0.27008524127289,
      0.245128290614881,
      0.252122431405429,
      0.254970072695973,
      0.227783824655764,
      0.192619240651094,
      0.173526898621909,
      0.184597894450933,
      0.206233505463538,
      0.218122763633835,
      0.224092940094726,
      0.222340846119741,
      0.21454917037582,
      0.212551958939659,
      0.21501381484608,
      0.197155990944071,
      0.167904473753757,
      0.162451180095925,
      0.199367899091824,
      0.245837850801761,
      0.260522053668466,
      0.245030182508358,
      0.225480606651275,
      0.218684892828794,
      0.213529252697453,
      0.192066551418688,
      0.159501320407171,
      0.132869916081842,
      0.133263920242396,
      0.167578272606245,
      0.222473611765094,
      0.256567006812392,
      0.237930015987956,
      0.2002967670707,
      0.196265103630738,
      0.215762178225099,
      0.217982450626508,
      0.19523787929595,
      0.154207201005934,
      0.109222999587528,
      0.00599732903636651,
      0.0400417494980558,
      0.0821653210999685,
      0.107313616010883,
      0.111266955632964,
      0.124831287728558,
      0.173238067791968,
      0.226247449930662,
      0.225268503116304,
      0.190884116133252,
      0.18707756484676,
      0.168409240817878,
      0.151960245749333,
      0.19247836735256,
      0.22857110514768,
      0.208327227214476,
      0.197465786293348,
      0.220189222609855,
      0.239694840076742,
      0.261011054221297,
      0.247517514092558,
      0.174561872967417,
      0.100212468391101,
      0.0894250656130349,
      0.137930556563748,
      0.224511219283563,
      0.26202432088737,
      0.203803897591161,
      0.125712742948936,
      0.0885716295737791,
      0.090831513202883,
      0.118127714013143,
      0.154575547559811,
      0.195697164365105,
      0.221187784762435,
      0.21277428833364,
      0.221448974424244,
      0.236476888357937,
      0.20836144159821,
      0.17244681756389,
      0.158493102627353,
      0.166321859852712,
      0.195295422876037,
      0.226579344868915,
      0.253002947317722,
      0.277893064167259,
      0.271200560498083,
      0.217190026949497,
      0.199603943784346,
      0.23896497801943,
      0.24529645636894,
      0.215535543463967,
      0.226215922377882,
      0.270027143933049,
      0.282764680580136,
      0.290303132099626,
      0.301195003706918,
      0.252539964063054,
      0.193994405952656,
      0.195983165619628,
      0.222570211830459,
      0.205420403219697,
      0.181597248157026,
      0.195003022772842,
      0.230380778227864,
      0.241651467585283,
      0.21496967781085,
      0.177650834424606,
      0.150090091652752,
      0.141917749819619,
      0.166210608283802,
      0.208579086221407,
      0.202189444518265,
      0.165212525603165,
      0.171750884273558,
      0.220538885692663,
      0.239834492264564,
      0.218348151355226,
      0.227129330075722,
      0.253758091448658,
      0.252620444258363,
      0.218993183184278,
      0.200207377983845,
      0.216175032924469,
      0.247676696178476,
      0.241425158468489,
      0.219866013531546,
      0.212862804372703,
      0.229510092239815,
      0.245303887388366,
      0.235915755470195,
      0.211907294502044,
      0.198334084383039,
      0.215376156260265,
      0.259045282689397,
      0.277764671143931,
      0.261089891609196,
      0.241904005250241,
      0.23337781586792,
      0.2357212871111,
      0.25849342855528,
      0.268575996091125,
      0.222000899099792,
      0.176140596576429,
      0.202506386150052,
      0.285178140809463,
      0.29865898034564,
      0.220849514010829,
      0.179621536635113,
      0.197107616700281,
      0.240322030225894,
      0.249484755438358,
      0.243220979003978,
      0.248040426550039,
      0.251710277480693,
      0.244719821623935,
      0.227793305910343,
      0.212515022482265,
      0.206872513293222,
      0.2053207692563,
      0.21253342102627,
      0.233404665778859,
      0.254516539440669,
      0.251535981008534,
      0.231202754189255,
      0.220211814387322,
      0.242658229110308,
      0.280798962287225,
      0.285713900622624,
      0.239579593920618,
      0.18737984998953,
      0.160022211561497,
      0.173008118811656,
      0.203066867279765,
      0.215427739155119,
      0.221176795681001,
      0.253221756163074,
      0.301572037445553,
      0.322224532857654,
      0.299796353612269,
      0.269752080368097,
      0.252050590291867,
      0.239895533739307,
      0.235738411064696,
      0.225393981391608,
      0.208951250959405,
      0.210671521261876,
      0.247019064646086,
      0.252178776554262,
      0.197302868617958,
      0.162250768560013,
      0.184847063250344,
      0.230526906969004,
      0.252432526873814,
      0.237991153604128,
      0.191816999038255,
      0.164128525054895,
      0.194350125996561,
      0.270317966381651,
      0.31267017069593,
      0.281737205286253,
      0.272813780791572,
      0.287081789927237,
      0.285944479352257,
      0.261498220844717,
      0.223108001919587,
      0.195052889252445,
      0.210232618813603,
      0.247740864847575,
      0.261485231578337,
      0.256094982430872,
      0.255892075770652,
      0.256394809644477,
      0.260595703017421,
      0.273809287720141,
      0.251178968171974,
      0.202965071515077,
      0.200881635527443,
      0.254381994646193,
      0.286598945655004,
      0.272263446240231,
      0.259114186750765,
      0.250811805711595,
      0.238689311322372,
      0.241609512157398,
      0.236533818605122,
      0.193787398163852,
      0.149066556815717,
      0.151197900295489,
      0.20283596940193,
      0.267891134728743,
      0.301804812145467,
      0.294684282432114,
      0.277811109838207,
      0.28069438862756,
      0.279193365989786,
      0.256785017849053,
      0.236073238128424,
      0.216865020431827,
      0.175250186064358,
      0.00990079495672952,
      0.0597307009295721,
      0.125302028304963,
      0.171488684827039,
      0.170662902300418,
      0.159237228938482,
      0.189468035129429,
      0.241485484295474,
      0.238660393278728,
      0.213234297503163,
      0.240805207281999,
      0.232471749263218,
      0.202624185650581,
      0.238514049606133,
      0.257698568157118,
      0.200063659247729,
      0.164301671719291,
      0.189518172172653,
      0.221566058905182,
      0.222586372393227,
      0.179493672891502,
      0.113971652676351,
      0.0658904428425394,
      0.067344293335154,
      0.108467674012354,
      0.165580934746104,
      0.188282910542472,
      0.146282125478167,
      0.0947238988523182,
      0.0715762421509765,
      0.0638844615737134,
      0.0661017621928754,
      0.0926324295297758,
      0.165170248608264,
      0.248181447786251,
      0.262339100112145,
      0.226923754668521,
      0.178364554097009,
      0.118676316325711,
      0.0999953606559503,
      0.137794797890082,
      0.213202256130845,
      0.29282869981164,
      0.307334516115033,
      0.279021082743472,
      0.299801450646084,
      0.322162084946584,
      0.270816561672148,
      0.244926901745926,
      0.268885101548092,
      0.260477495881853,
      0.240019934501452,
      0.276187122628827,
      0.324732219349578,
      0.294787530131396,
      0.257208925973035,
      0.273767050071163,
      0.26009293966608,
      0.222291285505127,
      0.242385042171062,
      0.278408319065764,
      0.245603112922496,
      0.212193672886606,
      0.238361964353295,
      0.27834741136434,
      0.272466937437476,
      0.238063531105502,
      0.238619242258992,
      0.263431971588342,
      0.233654096215812,
      0.173843668211888,
      0.14072095211356,
      0.119343131785843,
      0.102124482738754,
      0.119627408401345,
      0.18740471600241,
      0.267744179917445,
      0.287318820666731,
      0.26642747630203,
      0.258756643559837,
      0.247188864959502,
      0.217662148132971,
      0.207154483196525,
      0.233627511337232,
      0.279255465359121,
      0.274382590112414,
      0.223607817605445,
      0.205347168615764,
      0.240993296446524,
      0.272942405232671,
      0.240547739437301,
      0.182665434172568,
      0.152233889361682,
      0.169131670575213,
      0.213608898957396,
      0.234233103573045,
      0.215255921310229,
      0.20073613644214,
      0.203846889518013,
      0.227241403819388,
      0.26483739020498,
      0.272762932861728,
      0.227679203083052,
      0.190221048860128,
      0.207137723545343,
      0.2546412745711,
      0.245447119614018,
      0.189634609051803,
      0.184041835756227,
      0.224556305040866,
      0.268386672628834,
      0.259607699246135,
      0.245358032970804,
      0.249369235632673,
      0.258831933033537,
      0.267511716337565,
      0.268553624134756,
      0.260292248407977,
      0.246648169050007,
      0.231339141599104,
      0.230268472338251,
      0.247940369575759,
      0.266524925458824,
      0.265236041409496,
      0.242786370471071,
      0.232499597234442,
      0.253210969618164,
      0.273098174620746,
      0.267710979388853,
      0.256361486990288,
      0.237545078689782,
      0.205421388317653,
      0.215257024552686,
      0.256801404089398,
      0.27360238190219,
      0.27339234245215,
      0.297955065733054,
      0.3196819074533,
      0.302875196970921,
      0.272302666268221,
      0.262254891629389,
      0.269561955499791,
      0.263173537347873,
      0.23220108032408,
      0.20634424663685,
      0.210894253443183,
      0.253352169443497,
      0.302792608385738,
      0.28501204154696,
      0.218723406441897,
      0.199925301582413,
      0.239471402998482,
      0.287629853271758,
      0.298767460942083,
      0.274183872367842,
      0.220373706444704,
      0.182101106317245,
      0.198629262621371,
      0.254422424293333,
      0.279896792156222,
      0.263821407969389,
      0.287250549122701,
      0.31896356869202,
      0.302546701500349,
      0.262161360209425,
      0.228960123925721,
      0.219952352367588,
      0.262414340703847,
      0.31611959684985,
      0.296230667655973,
      0.251377149783353,
      0.257519932406306,
      0.283140649136847,
      0.291375737164573,
      0.285093910840034,
      0.254668505431896,
      0.217162454924543,
      0.214277822973708,
      0.245483292628738,
      0.258424985567095,
      0.240345333954314,
      0.24468882886334,
      0.273630309139443,
      0.281351696231153,
      0.276842118445777,
      0.262541139315862,
      0.215635663862067,
      0.178614745810033,
      0.199701302637376,
      0.25378504250851,
      0.273285310333235,
      0.259998869193813,
      0.259341538333127,
      0.279554192245246,
      0.29269318066717,
      0.254736490319014,
      0.19999523650739,
      0.191584486590198,
      0.21303066960502,
      0.196625533481663,
      0.0122683151282504,
      0.0796547850820083,
      0.177698603954237,
      0.246227322959305,
      0.220281306421441,
      0.167094355703006,
      0.145177777329549,
      0.152890923245819,
      0.154508252088463,
      0.176471882726672,
      0.227448666007875,
      0.241735040043221,
      0.219279372889523,
      0.217286275294829,
      0.198276867972063,
      0.144697431571917,
      0.112194177017985,
      0.125681972805503,
      0.149436951674895,
      0.136646516089923,
      0.0968628143061109,
      0.0667650513075056,
      0.0587167598377506,
      0.073541259245551,
      0.103088920280444,
      0.131272000125281,
      0.136204841601737,
      0.108326996106478,
      0.0806080071004169,
      0.0686377582638247,
      0.0602779835072706,
      0.05838241520814,
      0.0686248382265301,
      0.102799464929698,
      0.162821944281964,
      0.195290278793499,
      0.157768301884634,
      0.101780607945438,
      0.0641696566584933,
      0.0581893036720044,
      0.0860058820318024,
      0.139336927784383,
      0.206395757754375,
      0.240220328554051,
      0.232625729189915,
      0.253536691059796,
      0.288764419395215,
      0.266648018824992,
      0.223105607949569,
      0.195860756352246,
      0.171090751935859,
      0.158692903751938,
      0.178416231865873,
      0.217003266602103,
      0.21943654998723,
      0.205011925166007,
      0.213061307848919,
      0.21239525947201,
      0.204495044947672,
      0.239411719304294,
      0.279770098284544,
      0.257162304811407,
      0.231118838448375,
      0.253546313718115,
      0.270513028568554,
      0.233812389001642,
      0.200384675228928,
      0.221080055344023,
      0.260660301904608,
      0.226992896079475,
      0.151631898824721,
      0.0997932832520113,
      0.0887823083293239,
      0.0853000797035177,
      0.0875876034564308,
      0.112303737058494,
      0.161566380925749,
      0.190537395134045,
      0.178383615485181,
      0.152227947361989,
      0.129326599198841,
      0.115758412965876,
      0.122948070102808,
      0.155567225243902,
      0.198008817094413,
      0.201107763648398,
      0.169563121212118,
      0.164294787134483,
      0.190359972306076,
      0.206125175005995,
      0.181560427255111,
      0.148346521136891,
      0.132623163392482,
      0.148400994361842,
      0.181476570679563,
      0.193682781289261,
      0.168807021111951,
      0.14485798774948,
      0.136720902145301,
      0.152566259426044,
      0.176106228969403,
      0.177076005130867,
      0.153165710661532,
      0.136823309923898,
      0.142843522604159,
      0.173972935074766,
      0.195198356110305,
      0.179997272419443,
      0.191616470396954,
      0.254979153131112,
      0.312170917799049,
      0.276983733772622,
      0.228071423898898,
      0.215775587407481,
      0.222218882424239,
      0.232747917409288,
      0.240660698162486,
      0.23751502594213,
      0.230102752225524,
      0.236851368536335,
      0.25929317417464,
      0.267392504979564,
      0.246708106378613,
      0.210944182634876,
      0.176243459171433,
      0.167905377266607,
      0.176669281506847,
      0.181649972836685,
      0.202264865755313,
      0.254252320962451,
      0.285018634438743,
      0.262535847426803,
      0.241258110465826,
      0.242764177440196,
      0.237328646288844,
      0.218558826934444,
      0.219666892240469,
      0.231926361321376,
      0.219281252598463,
      0.196942732817185,
      0.193966836681551,
      0.206220638907094,
      0.20231405936572,
      0.171081763406213,
      0.152185989909676,
      0.167020720751273,
      0.215237016777266,
      0.262994681685902,
      0.256266013084953,
      0.221808972440991,
      0.226183776342251,
      0.263467408029543,
      0.293049112348724,
      0.297701794416592,
      0.288471043706548,
      0.239420613613419,
      0.178990503844834,
      0.16701976793836,
      0.20662246913762,
      0.240626450337709,
      0.235102610598325,
      0.25325130304436,
      0.287393037142976,
      0.274999402462263,
      0.230134782973219,
      0.207361763369871,
      0.221942615152843,
      0.273845311310982,
      0.311616313036308,
      0.26907617036795,
      0.218196262833117,
      0.227439072811344,
      0.256582484438039,
      0.258039923039667,
      0.22820211436493,
      0.191893251228264,
      0.174519117807521,
      0.179067187625781,
      0.19625566245451,
      0.20791766337568,
      0.212232805600983,
      0.231966355570093,
      0.272842867030255,
      0.296766179029784,
      0.28092380381786,
      0.236630746539375,
      0.193153341464173,
      0.188177405449095,
      0.236362411777865,
      0.280306816891427,
      0.244546167751237,
      0.189666791280281,
      0.183902271904925,
      0.205036268558932,
      0.219552257120594,
      0.192621971624122,
      0.146657315865552,
      0.129703512130373,
      0.135481009567014,
      0.123895281796374,
      0.00770607038543564,
      0.0655356907930414,
      0.154677932680426,
      0.221547232426371,
      0.193353181320165,
      0.131032158216759,
      0.0924517031754478,
      0.0878498537044464,
      0.0969698771684886,
      0.122393158911745,
      0.157069204733148,
      0.176575825373537,
      0.165991600916027,
      0.141127716690339,
      0.119307909779815,
      0.099712258923816,
      0.085282668296683,
      0.0880078061616551,
      0.10151832643425,
      0.0925552490558505,
      0.0709783040238549,
      0.0668170379574986,
      0.0952726763967343,
      0.136325573017106,
      0.158515779955438,
      0.151120518629366,
      0.13734469650682,
      0.111722886338814,
      0.0912897634719966,
      0.0818985903548976,
      0.0698863363042882,
      0.0610742029126873,
      0.0645763317147953,
      0.0859212259455752,
      0.130541611625028,
      0.159288857430825,
      0.125642536001266,
      0.0795583994717883,
      0.0551616341169297,
      0.0455500930169216,
      0.053629250248387,
      0.0810550124024433,
      0.124984185604133,
      0.158679784105565,
      0.172782937373344,
      0.201811583951453,
      0.229234659409288,
      0.204542710276632,
      0.156778038443612,
      0.124214942586909,
      0.109411241138602,
      0.107207531701753,
      0.118944804502926,
      0.144504029740836,
      0.163801136997208,
      0.170997752015625,
      0.176852874311853,
      0.172282615084996,
      0.162288836978169,
      0.172232070180535,
      0.194407337509637,
      0.193592900103156,
      0.189730376560047,
      0.20315945806061,
      0.20380361566684,
      0.170916791826159,
      0.150167674279819,
      0.161783970338205,
      0.170377517418469,
      0.141712206611516,
      0.108281750396164,
      0.0886675446886523,
      0.0860414836490984,
      0.0843164600672258,
      0.082171721907796,
      0.0892540674348573,
      0.100619211779489,
      0.0966433176218967,
      0.0877816635641205,
      0.079095325316927,
      0.0692593627810699,
      0.0651213119191268,
      0.0742478294196681,
      0.0984414522999391,
      0.130597560852181,
      0.143056417537481,
      0.141911994612185,
      0.15138057175504,
      0.162812903166306,
      0.156996919108419,
      0.134568765556758,
      0.115175378745898,
      0.108768073109744,
      0.127579406224248,
      0.164949588684829,
      0.183664213827304,
      0.171516080445806,
      0.147664114697758,
      0.123876051820345,
      0.115027394596508,
      0.127042398887919,
      0.146326924514428,
      0.142492687822694,
      0.122183276682407,
      0.11888583251102,
      0.158703336511276,
      0.199016705214316,
      0.184841031039787,
      0.180951913604198,
      0.236746663405545,
      0.301461085281492,
      0.27526024795989,
      0.218876892066733,
      0.200257176533511,
      0.200318843668828,
      0.201787079053106,
      0.196545521008135,
      0.19043975587196,
      0.202692279215524,
      0.240812310634647,
      0.283022312436998,
      0.290554053132486,
      0.24665153371912,
      0.186761839094748,
      0.148078777151725,
      0.138538569105416,
      0.139964650425331,
      0.142508778009384,
      0.160732461771799,
      0.19908852094052,
      0.231547092886058,
      0.235320696352744,
      0.215031353823177,
      0.187958402439215,
      0.164525780561895,
      0.146055103291355,
      0.144178949509842,
      0.165905200807128,
      0.177700743839187,
      0.163798423306908,
      0.15447839087671,
      0.163223933609709,
      0.165232288993079,
      0.144676149957177,
      0.128665143979189,
      0.132338873387713,
      0.153112008404901,
      0.181518567970627,
      0.191473549407747,
      0.175755233795499,
      0.173904601600197,
      0.194544399721051,
      0.215521210573257,
      0.23477163289032,
      0.252619674286999,
      0.218023249733458,
      0.16054887440266,
      0.145748809376197,
      0.183561278729095,
      0.222166630379358,
      0.215069015430491,
      0.220218089678786,
      0.244414809064263,
      0.236032599079911,
      0.199932044069892,
      0.177469240795747,
      0.182565957338387,
      0.218211002549712,
      0.247899834228699,
      0.22140357978249,
      0.183306243322863,
      0.187157454927792,
      0.210770943888194,
      0.213559682523737,
      0.18926158074064,
      0.160472157057768,
      0.144531429837746,
      0.145746945968835,
      0.163154406172416,
      0.183963767948865,
      0.199747538712175,
      0.213228137211495,
      0.23354994281677,
      0.248629603195378,
      0.22781715225505,
      0.179296728588814,
      0.148213554194532,
      0.153968222824299,
      0.196636548596455,
      0.23502599602423,
      0.211349563458775,
      0.166523185239347,
      0.153918080990971,
      0.156551264699596,
      0.157311137605934,
      0.141926643953096,
      0.115939736770819,
      0.0977221205723982,
      0.0897173500467016,
      0.0786898008272219,
      0.00360163943648041,
      0.0390987220802787,
      0.0891526681514846,
      0.128347746677244,
      0.119704828581731,
      0.090553194787688,
      0.069150124387521,
      0.0709721477458856,
      0.0849322716398482,
      0.0959899851924173,
      0.103131117630152,
      0.117591112991595,
      0.119136924180831,
      0.094639247464038,
      0.0784227750226415,
      0.0772644162282074,
      0.0725525179402103,
      0.0706309014611216,
      0.0781594053170977,
      0.0779606848406754,
      0.0793185017015824,
      0.100454233687657,
      0.147306744290226,
      0.196211847670161,
      0.217488493837217,
      0.193293408040249,
      0.151679956016893,
      0.120439361084109,
      0.111711160550125,
      0.108873151883028,
      0.097255076605031,
      0.0777900997448783,
      0.0671721735994086,
      0.0793555841971555,
      0.10726709650442,
      0.114554952133581,
      0.0928511795263616,
      0.0786582130544695,
      0.066469921226361,
      0.0516197178988079,
      0.050304535043231,
      0.0712073867046861,
      0.105774557082957,
      0.13089298935069,
      0.147774412440378,
      0.177454094192049,
      0.199450955604375,
      0.177150212845224,
      0.133273915516311,
      0.10266776759805,
      0.0923060182965728,
      0.0918044565895109,
      0.0979108850084458,
      0.117429176433113,
      0.142731194988491,
      0.155195557408504,
      0.156667048526278,
      0.150096831196671,
      0.142403606565008,
      0.142889164786245,
      0.153098510846674,
      0.158512144741572,
      0.160396054085922,
      0.163326517781567,
      0.15988056186282,
      0.141692281374519,
      0.129545630617772,
      0.136711775001716,
      0.132598032139159,
      0.104954130705701,
      0.100875189512123,
      0.111144242178758,
      0.103282156189871,
      0.08172438717855,
      0.0685380993075859,
      0.0678897475727307,
      0.072885820856079,
      0.0676350582115836,
      0.0596628285771131,
      0.054632783678355,
      0.0514554090971262,
      0.0512190352505111,
      0.0616230406558127,
      0.0862703304000594,
      0.118517303931348,
      0.130298090490648,
      0.131146975842382,
      0.141651855471925,
      0.155282152732332,
      0.149416414335342,
      0.127688813209764,
      0.110241340142418,
      0.104952658072836,
      0.117035306478826,
      0.152761151769946,
      0.178156920041278,
      0.174445476324369,
      0.155055415493028,
      0.133898225919905,
      0.116448828193669,
      0.116388552068542,
      0.129369418237464,
      0.126084499313816,
      0.106853877191112,
      0.103315738840506,
      0.143166156088751,
      0.188361559236703,
      0.175452672614007,
      0.157407872025924,
      0.1917462463939,
      0.2437108870631,
      0.229318224317225,
      0.192603082712243,
      0.187881073704287,
      0.19048326068079,
      0.192468431928383,
      0.18940334003859,
      0.184166699764473,
      0.197811083430193,
      0.230839156361748,
      0.255207686908792,
      0.249739112110475,
      0.216239037934592,
      0.173706272770185,
      0.144414128485045,
      0.135808395211972,
      0.138900102998936,
      0.144787981226229,
      0.154863065842832,
      0.171026193448947,
      0.182919820402708,
      0.18223865142432,
      0.167155238875979,
      0.147131800729521,
      0.1319568350445,
      0.123207077764514,
      0.127363940323806,
      0.148900546930567,
      0.159203051803599,
      0.144747235485358,
      0.135078858618134,
      0.142574929298337,
      0.146978559322103,
      0.134790653388318,
      0.122705997260625,
      0.123153574350759,
      0.136046174766119,
      0.161552811907339,
      0.16989249156002,
      0.149678049509533,
      0.140956296203947,
      0.150706007410125,
      0.163115475418968,
      0.183935746753842,
      0.202131532462929,
      0.177224828966417,
      0.13795991053679,
      0.134646482501511,
      0.179828501974033,
      0.221102315199298,
      0.205178629339033,
      0.198827775018946,
      0.218246795936679,
      0.214906435084097,
      0.187306317459825,
      0.163379417664709,
      0.158029243870673,
      0.181193476095755,
      0.210486097704273,
      0.203162268281618,
      0.17584083128149,
      0.168139005431279,
      0.178255401121146,
      0.186738516610126,
      0.17767889659102,
      0.154780721284001,
      0.138568865023136,
      0.13964407750803,
      0.155554168321192,
      0.175695718950471,
      0.192932260297764,
      0.200402270545715,
      0.206639433383652,
      0.211451798482359,
      0.192325937703595,
      0.152971396746447,
      0.127826146227482,
      0.124513623651897,
      0.150203127610948,
      0.187931218527474,
      0.191786906540567,
      0.166823328024764,
      0.150827053732734,
      0.141951118765814,
      0.133315914409869,
      0.121452923777974,
      0.104853044850034,
      0.0886190831794972,
      0.0746833341036306,
      0.0614589463204111,
      0.00216243596110521,
      0.0234314242141494,
      0.0512201237380117,
      0.0779466659605643,
      0.0875992104056261,
      0.0827927306919936,
      0.0738385925109272,
      0.084593092955652,
      0.104119399604337,
      0.103506026705675,
      0.0934660859002702,
      0.102670956985495,
      0.104092110411982,
      0.0821640230968322,
      0.0693602348661546,
      0.0751119710430517,
      0.0774027305099298,
      0.0767073877334952,
      0.0811175653306278,
      0.0857347373423789,
      0.101904611809721,
      0.131260886263409,
      0.151122869987781,
      0.16141395954218,
      0.188952661561117,
      0.215217391231513,
      0.180326402393439,
      0.139286699939222,
      0.123516268757403,
      0.114090470751621,
      0.108142642367381,
      0.0979637582778536,
      0.0847190770088607,
      0.0854242958184012,
      0.10099866972143,
      0.100459743366547,
      0.0858773849219629,
      0.0888000701751807,
      0.0842127297655118,
      0.0673904790237718,
      0.0605921679177567,
      0.0736577112347261,
      0.0988277008782007,
      0.125380987437807,
      0.14608244660198,
      0.164994070030087,
      0.174165602684948,
      0.152017114419351,
      0.115555473449322,
      0.0945466267040118,
      0.090493738475883,
      0.0909069548975171,
      0.0953909838783653,
      0.116872941184754,
      0.151774994817125,
      0.171368660660971,
      0.171844232957619,
      0.158877064842126,
      0.143343969621224,
      0.131732983648985,
      0.134774712168291,
      0.143146588955876,
      0.147075345348399,
      0.148543879458547,
      0.147001185386437,
      0.134591190276003,
      0.119914026295344,
      0.113860322005282,
      0.100902531968384,
      0.0823349877500335,
      0.0941000542095853,
      0.118480096223796,
      0.109558526882004,
      0.0780185255345792,
      0.0653756057598603,
      0.0756239650142161,
      0.0875157446862371,
      0.0797011090205597,
      0.06996519042286,
      0.0648520738425521,
      0.0617247814187894,
      0.0598086080776497,
      0.0640591752295246,
      0.0784597534353779,
      0.107187536551392,
      0.123948458047443,
      0.120512251344716,
      0.131061799298741,
      0.163891516013541,
      0.173158175116652,
      0.148720917754268,
      0.131001093369314,
      0.126633039689351,
      0.129382116690743,
      0.152642097036017,
      0.173253066448403,
      0.167243481361952,
      0.152453871378075,
      0.146005954796773,
      0.133338612610835,
      0.119981156817322,
      0.114121968180836,
      0.104167426935245,
      0.0907120344813408,
      0.0983257912064527,
      0.14243673092364,
      0.184360995821725,
      0.168505223390798,
      0.1497561775082,
      0.175147550174596,
      0.215896034152963,
      0.205562093576887,
      0.183115275445807,
      0.182597292182252,
      0.182385725513336,
      0.185619799342968,
      0.188529072285207,
      0.183771127863138,
      0.191223660864984,
      0.210491286284115,
      0.221879649741079,
      0.215334786349867,
      0.193763906429488,
      0.164766554298701,
      0.143217493069174,
      0.138650524607341,
      0.143424290963561,
      0.151092991345687,
      0.161800819743119,
      0.172469956957173,
      0.167068865505818,
      0.151723285566887,
      0.13778573884786,
      0.129241916347762,
      0.125390751123497,
      0.126789806652659,
      0.137423682359902,
      0.158037141578342,
      0.162841977628488,
      0.143116275789232,
      0.135998744109365,
      0.148456062051349,
      0.152125882102947,
      0.138872499749616,
      0.125652405514158,
      0.122696482278714,
      0.138236717151072,
      0.18114965859622,
      0.193411365819249,
      0.156890384337146,
      0.137213158212132,
      0.143434110473136,
      0.15250396567848,
      0.175126614124935,
      0.187981555208997,
      0.155062002449899,
      0.119046060761986,
      0.126050457933266,
      0.182408052298551,
      0.230844319023481,
      0.210924015525307,
      0.194625250328398,
      0.208123234440317,
      0.206597758642404,
      0.181927243315612,
      0.158307624027666,
      0.149639267493032,
      0.16430173922187,
      0.188393279941661,
      0.190836093263081,
      0.17540535252503,
      0.166209242137454,
      0.171568090311682,
      0.181145062375893,
      0.173943051506155,
      0.150625445796764,
      0.134970886337081,
      0.138007708473382,
      0.15838005190107,
      0.182801579232217,
      0.198566553660081,
      0.202010808172853,
      0.201473158306195,
      0.199468229062696,
      0.185963188692741,
      0.158334469909764,
      0.13301474765433,
      0.117947432211656,
      0.127974503436053,
      0.156139354047698,
      0.17315599144384,
      0.168693729185568,
      0.155892000298021,
      0.141420912490384,
      0.130577171142703,
      0.122367411410876,
      0.110359042336439,
      0.0954578486015419,
      0.0765203853787951,
      0.0571866372650753,
      0.00171623615026652,
      0.0212779027358562,
      0.0477495638556149,
      0.0672097230832162,
      0.0719851745698412,
      0.0715492561033469,
      0.0697004423550585,
      0.0879111002066697,
      0.11413287375061,
      0.112123484131423,
      0.101755546954015,
      0.110652294194216,
      0.110998742544379,
      0.0943382514474939,
      0.08204732688856,
      0.0859204576615366,
      0.0969196352105101,
      0.101780141553044,
      0.103045227889083,
      0.113772481970585,
      0.136107659674288,
      0.144865964931179,
      0.125985760165497,
      0.111443024874805,
      0.147681411999869,
      0.222923351990038,
      0.216996027655082,
      0.154678419083693,
      0.119547144515842,
      0.101601928018647,
      0.0937710613706095,
      0.0952346971337613,
      0.0996419807808458,
      0.110410200918225,
      0.122641898641576,
      0.114054884350639,
      0.101360008702153,
      0.10699325177883,
      0.102694582365784,
      0.0879473195499362,
      0.0789161572938135,
      0.0817839180528941,
      0.0975173314753561,
      0.126976968088269,
      0.151884203891058,
      0.167703077850609,
      0.171095620880668,
      0.147450917493416,
      0.117170404228964,
      0.107383525719231,
      0.108168631307047,
      0.107795969553512,
      0.109643653086282,
      0.128980366227133,
      0.166439117682273,
      0.19680407504778,
      0.206473009637514,
      0.188238709101497,
      0.155859805361966,
      0.135126398869066,
      0.142081033096451,
      0.149426549163314,
      0.149803994106348,
      0.157429718354593,
      0.16435571320768,
      0.148541299513004,
      0.122034192836792,
      0.103414667594077,
      0.0889797183523699,
      0.0791413797821478,
      0.0936991582327006,
      0.122715175542281,
      0.122316060426763,
      0.0931316840167326,
      0.0824530620061906,
      0.104923708235765,
      0.1222734377761,
      0.103518032975016,
      0.0900324492774287,
      0.0959505863350217,
      0.103748274784057,
      0.100419163905709,
      0.0915727983866222,
      0.0924934118353971,
      0.11671440040959,
      0.133978542268586,
      0.127526252500256,
      0.130157816236759,
      0.155511802095975,
      0.167256435876184,
      0.160719442152578,
      0.156785701383607,
      0.153663834300891,
      0.157509922573806,
      0.179883655891112,
      0.187744609239899,
      0.16935854527449,
      0.155207555678803,
      0.153833160990505,
      0.147156393793971,
      0.132847525033469,
      0.118539573670227,
      0.101047723124893,
      0.0903307866908369,
      0.112677097779508,
      0.176478258692991,
      0.213803225630475,
      0.172429086565751,
      0.146278253132834,
      0.169419154688544,
      0.205678273539267,
      0.200501350312059,
      0.187017828883206,
      0.189618835108753,
      0.192969932971889,
      0.191308529280517,
      0.181699307380573,
      0.170972473450919,
      0.178036052196257,
      0.192223503227771,
      0.200268751535777,
      0.201809670268957,
      0.191108021779329,
      0.170597738775792,
      0.152459130128212,
      0.145709093555775,
      0.145689903331855,
      0.154354452719194,
      0.170853530352988,
      0.175795743548791,
      0.154084914100768,
      0.131673784530563,
      0.125329496144044,
      0.128870627447822,
      0.133915913799406,
      0.141625101473333,
      0.156914486295904,
      0.182954663342772,
      0.196982621927039,
      0.180168761259054,
      0.171715612046059,
      0.174908130595216,
      0.163672890204056,
      0.143769140193037,
      0.132519243323789,
      0.12809655877294,
      0.139177696333223,
      0.181498759563251,
      0.199180854254506,
      0.162684729840654,
      0.136084593036578,
      0.139824860636603,
      0.152227690260435,
      0.182380583830706,
      0.191496440066611,
      0.147272326266817,
      0.113306350791341,
      0.135643841511764,
      0.20306235695506,
      0.249771862821249,
      0.223037043480223,
      0.203319687622228,
      0.216164229881467,
      0.214468796077689,
      0.189581876378402,
      0.165827228245086,
      0.154523516305829,
      0.165310359977674,
      0.188222846801697,
      0.191901047741876,
      0.183903942694212,
      0.184046853068018,
      0.191190644495261,
      0.195039160764697,
      0.1831125411192,
      0.157621980498746,
      0.139883068577086,
      0.148480214656319,
      0.181264692523015,
      0.211467577473476,
      0.222066024789506,
      0.218931830719983,
      0.211031107134007,
      0.205771701142631,
      0.190387175407366,
      0.162909383424765,
      0.136945331710743,
      0.116379581469485,
      0.115225763418357,
      0.137257495384214,
      0.166769386068162,
      0.183120839499988,
      0.176041202285022,
      0.159141022264064,
      0.149574426572396,
      0.142960415534392,
      0.132313470039131,
      0.118449734249009,
      0.0940560489040622,
      0.0644566025812628,
      0.0016352994425587,
      0.0232234911025794,
      0.0536811869734759,
      0.0696824217849683,
      0.067508801386665,
      0.0682793751273858,
      0.0782314048501261,
      0.10118826617077,
      0.117933566416823,
      0.114456119709155,
      0.122743051328977,
      0.132717044295052,
      0.130034235882409,
      0.129275160569496,
      0.121177981087003,
      0.103733216951354,
      0.106103498462056,
      0.124208022680079,
      0.145105605450212,
      0.1770692688232,
      0.18924584228863,
      0.151878165856896,
      0.0994759178742052,
      0.0859590543888673,
      0.126772589763703,
      0.21102421972761,
      0.231813924480612,
      0.163535309066132,
      0.107384138056336,
      0.0838929258248417,
      0.0760641238279783,
      0.0814384914278546,
      0.0949243549490899,
      0.11493112925942,
      0.132221927237916,
      0.126442269895981,
      0.120781585201929,
      0.134166036912152,
      0.128028018356809,
      0.105809154291452,
      0.0914085902967377,
      0.0936809853321304,
      0.112616999797419,
      0.144873072670548,
      0.175758016107442,
      0.194631152463473,
      0.193018603145116,
      0.162960042752749,
      0.137173831781786,
      0.142895148331922,
      0.145649923056796,
      0.136076405286011,
      0.139431167292988,
      0.163322319242379,
      0.186670312559611,
      0.206552172667327,
      0.223560560312658,
      0.206213271465924,
      0.165437730064007,
      0.149729403995628,
      0.168211363691701,
      0.168426771603079,
      0.158899704801635,
      0.173256540150056,
      0.194126827174316,
      0.174438586951457,
      0.133122451710505,
      0.105499108885586,
      0.0880137190289771,
      0.0802775943490137,
      0.101659507524271,
      0.13841812106802,
      0.139373996547992,
      0.107132547302639,
      0.0934579004795639,
      0.120826706628247,
      0.145877535262704,
      0.13214872401752,
      0.117481347980169,
      0.12904683460845,
      0.143074900676944,
      0.133436530761009,
      0.115462712403638,
      0.12077251747058,
      0.149109068029636,
      0.160917911174002,
      0.154050042775237,
      0.14754521412428,
      0.153407114248329,
      0.165467293882915,
      0.177876745440818,
      0.175592655037466,
      0.160118126558248,
      0.156019377808809,
      0.17791983292182,
      0.190064183964055,
      0.175764397475968,
      0.15631282668539,
      0.146820052286334,
      0.149897533852365,
      0.158257424725575,
      0.159784169067784,
      0.134252984277474,
      0.11075466706358,
      0.129274551215977,
      0.198073287418949,
      0.23464525184701,
      0.180557216458007,
      0.144174974378893,
      0.165278282731859,
      0.20355043034801,
      0.202421053274232,
      0.191359235567492,
      0.200904631503172,
      0.217164393158239,
      0.21553318611693,
      0.194800136270755,
      0.179217204315875,
      0.181195322006088,
      0.186989301289349,
      0.190021342000542,
      0.195903545210841,
      0.192966873442382,
      0.175043937142597,
      0.158003871292193,
      0.155334581736531,
      0.15853129202082,
      0.169768573501534,
      0.188693937523374,
      0.191791912433561,
      0.164727379835713,
      0.135514821052651,
      0.129294532524169,
      0.139515916007964,
      0.150226039568726,
      0.161602299668012,
      0.181372306682899,
      0.212216713251518,
      0.24215579053311,
      0.237652649182949,
      0.220950891987812,
      0.208304799437964,
      0.192587879538628,
      0.169704357901818,
      0.150995171011749,
      0.140936723155093,
      0.151520791945569,
      0.186047167075264,
      0.197651410171257,
      0.158696537456256,
      0.131930343043765,
      0.142137299335264,
      0.162051175811421,
      0.185377744150593,
      0.188923500940251,
      0.149377936234447,
      0.126028060324695,
      0.16161689738083,
      0.234174128479522,
      0.266571817230535,
      0.224370953231652,
      0.209018296692091,
      0.22889410849277,
      0.225519818389733,
      0.202434660529067,
      0.18163865757208,
      0.16706742449195,
      0.176751277392177,
      0.205959105526002,
      0.213640719163017,
      0.20595214040237,
      0.209122491153763,
      0.215073627470647,
      0.211500573995717,
      0.203858452749682,
      0.182743105165355,
      0.157776371019636,
      0.167701862080236,
      0.213929188924027,
      0.243281444924362,
      0.236488057680485,
      0.225450309911522,
      0.217866064624849,
      0.21378063457183,
      0.200494896994233,
      0.1740263233626,
      0.14553658303335,
      0.123224038160401,
      0.123827790361945,
      0.151193389586929,
      0.188732409641366,
      0.209216963113785,
      0.205940124733736,
      0.192335263702685,
      0.180720871229274,
      0.167279061637051,
      0.156720527619672,
      0.149747639982034,
      0.128951000617689,
      0.0922491702534618,
      0.00170202674348415,
      0.0270173433675892,
      0.0653195779868763,
      0.0834930747229678,
      0.078116415403485,
      0.0786129202331784,
      0.104071183938194,
      0.138894999774058,
      0.142597418596036,
      0.126782393491481,
      0.148754702263643,
      0.163031386817948,
      0.155383693452901,
      0.160957826721918,
      0.15638060865463,
      0.118536894999115,
      0.100311350816616,
      0.128439097288054,
      0.170818056761603,
      0.200438056737218,
      0.184960599300048,
      0.124494941081386,
      0.0699347230887711,
      0.0661869117030779,
      0.105383409563258,
      0.171340446895812,
      0.197509719408872,
      0.144735716985895,
      0.0869608054757272,
      0.0623448221227303,
      0.0544686580107117,
      0.0576093963885479,
      0.0709480114978541,
      0.099291333397035,
      0.136623121624832,
      0.154460178118687,
      0.153034926908532,
      0.146714796391376,
      0.121003801543635,
      0.0937743594786444,
      0.088430326073544,
      0.105868775779667,
      0.138285179607144,
      0.167557705707217,
      0.189040271941707,
      0.206329932169237,
      0.212315660606941,
      0.182025907081435,
      0.154629412139791,
      0.161573952683466,
      0.158363998481792,
      0.142358262215042,
      0.155965144336907,
      0.190498699693262,
      0.198551959275068,
      0.200608243449112,
      0.217136044869313,
      0.20298264311002,
      0.168164727273413,
      0.165408727310299,
      0.188088946666564,
      0.180670920380193,
      0.163044835794819,
      0.177135590519487,
      0.20411454756616,
      0.186702887802,
      0.141290131787108,
      0.124929149721263,
      0.125069324802417,
      0.107335294367655,
      0.100727221760199,
      0.115356474156672,
      0.11324006507188,
      0.0924420776515241,
      0.0905716982064598,
      0.124470953106644,
      0.159359410997365,
      0.157512302344725,
      0.147766370066465,
      0.15394979294501,
      0.148337215815802,
      0.121544424095252,
      0.107761682228033,
      0.13376201867986,
      0.180027477156286,
      0.19703382596413,
      0.176677843749676,
      0.160121769956313,
      0.175468100331353,
      0.199900961231205,
      0.194584360409921,
      0.168865504776976,
      0.147280539421407,
      0.144020365856949,
      0.162702215743774,
      0.176255916181495,
      0.166405978942759,
      0.147044891594108,
      0.135981694448344,
      0.146736935569122,
      0.172991462945602,
      0.188884306442354,
      0.158188506185756,
      0.121290493960999,
      0.129485947683626,
      0.177054026530856,
      0.188738928866994,
      0.148803320053796,
      0.138881115249523,
      0.17047789332024,
      0.209745228592755,
      0.21095273810854,
      0.20204648955697,
      0.211559929903329,
      0.223363884945817,
      0.219001958172425,
      0.206995419850786,
      0.197453564025384,
      0.187827236863179,
      0.181973586312014,
      0.185037535603826,
      0.197865534088413,
      0.205628240257476,
      0.189819061185941,
      0.17213908430491,
      0.171626451069045,
      0.177642233226369,
      0.188579910072848,
      0.207246511460421,
      0.21289419400525,
      0.188551865726334,
      0.153558596368032,
      0.144789867090501,
      0.159975733848593,
      0.171562967448116,
      0.180289935637378,
      0.204218361522572,
      0.229503299647271,
      0.244575456130264,
      0.241153591547023,
      0.225758397890111,
      0.225322337486705,
      0.239665296340113,
      0.217520031859302,
      0.170908821969696,
      0.149918468657441,
      0.166538059921974,
      0.193478595984136,
      0.186715104538418,
      0.145769180919115,
      0.132967517082102,
      0.155514248792778,
      0.175940810884842,
      0.185988085715313,
      0.184703174848705,
      0.153709047321927,
      0.13216742882284,
      0.15783817331352,
      0.217393096821461,
      0.24494247020858,
      0.213536041812886,
      0.219206149006704,
      0.248778193216789,
      0.24045426513999,
      0.214426933412084,
      0.19422534268322,
      0.17900967236127,
      0.194116812153345,
      0.230222433899105,
      0.232347922720328,
      0.212315324803054,
      0.216181854640219,
      0.231494823723506,
      0.232234380268246,
      0.225350867647446,
      0.205631255318158,
      0.179731604102127,
      0.185351687657501,
      0.225816186128235,
      0.240122540690485,
      0.217740939760584,
      0.212932818065435,
      0.228780508213478,
      0.233868050134292,
      0.22481655110544,
      0.201386338970192,
      0.16514144797955,
      0.137431074332561,
      0.146910637547643,
      0.185288401132883,
      0.208795436445884,
      0.205121785739801,
      0.210188633745285,
      0.222928581648739,
      0.219523572898434,
      0.188758151520528,
      0.163935360506928,
      0.168894211830511,
      0.171296286946279,
      0.135337598778758,
      0.00155362058365523,
      0.0288161889616268,
      0.0735110003082409,
      0.101975239264196,
      0.0996783945175397,
      0.0928765422390359,
      0.107499401828222,
      0.133968903551105,
      0.136670067559171,
      0.130889339496234,
      0.161460709889768,
      0.174186208814036,
      0.154537487563968,
      0.146293852027816,
      0.141909289384147,
      0.110719943352993,
      0.0882618954725356,
      0.11622051305156,
      0.155743623044824,
      0.15336750736121,
      0.115269917725056,
      0.0753518220306909,
      0.052244379578178,
      0.0606620636815166,
      0.090961446185941,
      0.127989852738857,
      0.14038521549564,
      0.11551237604529,
      0.0814308954655709,
      0.0571097058054689,
      0.0419468316812156,
      0.0404165252361131,
      0.0511275693472985,
      0.0790690350054298,
      0.123188438148983,
      0.157784200169081,
      0.158528239278819,
      0.127582691682015,
      0.0844613707947958,
      0.0635827690689958,
      0.0711777973889887,
      0.0955734187166183,
      0.131884498346509,
      0.162992008825838,
      0.181341200055429,
      0.204410127499815,
      0.223749228522428,
      0.198367017422452,
      0.164094760934619,
      0.156428780809709,
      0.152329831528465,
      0.144860975926167,
      0.162301559441546,
      0.195635858482431,
      0.19579486551254,
      0.181470378990069,
      0.190183446337542,
      0.182552499366908,
      0.158246071170629,
      0.162582259409321,
      0.188311329024663,
      0.18306883340876,
      0.163428248921286,
      0.174358739142747,
      0.201475839750648,
      0.187816423283719,
      0.151410246099833,
      0.15255869557448,
      0.160652140848292,
      0.124342861531257,
      0.0889629985543335,
      0.0899582507215765,
      0.0905772280152668,
      0.0777065958166162,
      0.0797281069522527,
      0.105909539154902,
      0.138146192034584,
      0.151413701131872,
      0.151658697374898,
      0.151459390137937,
      0.133803740725139,
      0.101686042393485,
      0.0913937501318393,
      0.117231965371216,
      0.162444372237135,
      0.17836892953299,
      0.151359795034524,
      0.139854847092562,
      0.166725400087761,
      0.188063638664875,
      0.166084859422601,
      0.140747127846195,
      0.133659269812999,
      0.139594486260085,
      0.155359332533491,
      0.164483873275195,
      0.151046497441721,
      0.130021589702539,
      0.116313070954582,
      0.128723934509775,
      0.158034433338867,
      0.169564616697991,
      0.138450143553422,
      0.106875526167387,
      0.110547573936537,
      0.146594139197758,
      0.154660048707425,
      0.130813744111104,
      0.141936361770772,
      0.190461915118553,
      0.235005279839849,
      0.229905428939685,
      0.211883071150454,
      0.207244427118143,
      0.206446968494544,
      0.201403606792329,
      0.202241792125134,
      0.204290685084369,
      0.196555751990373,
      0.184287148882641,
      0.185852304456161,
      0.201361957122378,
      0.211306211867912,
      0.191626970684734,
      0.166455448016371,
      0.158757706676561,
      0.160970998517688,
      0.169803970650617,
      0.185015656057478,
      0.192330776984297,
      0.184339393775705,
      0.166761270681392,
      0.163215072119195,
      0.178222595742905,
      0.185545965308718,
      0.182587355651067,
      0.198616186010378,
      0.222715324400838,
      0.221593039344637,
      0.205380548890646,
      0.191734116082193,
      0.196142532593535,
      0.209710910601844,
      0.190844404720316,
      0.157764817699285,
      0.150551595480302,
      0.17113676967137,
      0.190975681383034,
      0.17571113388503,
      0.141733913024368,
      0.138563949315967,
      0.160979176553227,
      0.181886911177532,
      0.197287315853955,
      0.19523200894919,
      0.157702334716168,
      0.125516096150171,
      0.135783220473032,
      0.182707158506417,
      0.214997391043283,
      0.200390609293681,
      0.210469771210131,
      0.243382801780473,
      0.241079026738608,
      0.208668249422134,
      0.182530067961231,
      0.177241289203525,
      0.208894491430369,
      0.247977395017922,
      0.232042187384376,
      0.197165866013412,
      0.195519756590096,
      0.209945646994595,
      0.217668302056167,
      0.209753515834822,
      0.188018577467617,
      0.17373042503095,
      0.180717293976447,
      0.202832831308645,
      0.206461056900884,
      0.192769163686682,
      0.199916305490669,
      0.230828117343378,
      0.241986620782141,
      0.222838629208272,
      0.191280640365618,
      0.160898187746664,
      0.15024801158016,
      0.180638684858661,
      0.220809783731101,
      0.212725965463526,
      0.182878332479637,
      0.18266535810257,
      0.199390350377022,
      0.200954456338023,
      0.169469402625618,
      0.138890828807525,
      0.146420070456316,
      0.164067126599873,
      0.140533180115231,
      0.00143602847687221,
      0.0269303724220893,
      0.0715864378446799,
      0.117123362648023,
      0.123461068037736,
      0.101615079545291,
      0.0837675552567178,
      0.0873456514588775,
      0.0975020684183835,
      0.113510304095658,
      0.138425809107546,
      0.1413163073656,
      0.121204327508104,
      0.103782865946472,
      0.0995984670966525,
      0.0880436608661248,
      0.0709322101354889,
      0.0810295101830195,
      0.104616514285065,
      0.095025693452684,
      0.0673828064414213,
      0.0569717841526422,
      0.0687298281074894,
      0.0961969266217337,
      0.118127741242575,
      0.123470247337077,
      0.120916432616812,
      0.11424230560676,
      0.0937298323590887,
      0.0629435949305409,
      0.0392530686553999,
      0.0339919394114867,
      0.0412948055854557,
      0.0641513786062414,
      0.101457521688888,
      0.128805174342835,
      0.122294678991836,
      0.0941680514810399,
      0.0600928260859686,
      0.0464150749056394,
      0.0524240942764209,
      0.0732223267482847,
      0.109584600853016,
      0.144686498249024,
      0.158318205688329,
      0.180724624455107,
      0.199819252591169,
      0.178321395197475,
      0.142032003202432,
      0.128932159243725,
      0.129258034720545,
      0.133325903769831,
      0.150031215834455,
      0.176436035680112,
      0.177369228230963,
      0.158167769262166,
      0.153911794947641,
      0.150336196637238,
      0.142228479811058,
      0.152927290617763,
      0.175558082460646,
      0.169869933997976,
      0.151532080179594,
      0.157218716352623,
      0.173742446549095,
      0.161515272922068,
      0.14227508304016,
      0.143443369436613,
      0.134788450195893,
      0.102353892081013,
      0.0776711978739013,
      0.0693783431366118,
      0.0657315595911888,
      0.0632489861834322,
      0.0690420450651933,
      0.0870169165220686,
      0.110642804954904,
      0.121690262180975,
      0.114868474880423,
      0.0998509503971995,
      0.0851575650843122,
      0.0751860702234145,
      0.0794099912038878,
      0.0992607558736852,
      0.129459908473798,
      0.138496202552501,
      0.12491812414953,
      0.119795644659263,
      0.12982342292573,
      0.138018992634251,
      0.131571566198639,
      0.130214485063003,
      0.132628127187823,
      0.135263269556912,
      0.14524463029121,
      0.152748039950387,
      0.137888181562277,
      0.117431625063581,
      0.10415868503178,
      0.11392358250883,
      0.133015827870483,
      0.135263544102746,
      0.110680576369349,
      0.0940381172921068,
      0.102197183394693,
      0.137794847778276,
      0.150596495353698,
      0.129443201445789,
      0.142703747590365,
      0.199877382887135,
      0.245631598604974,
      0.226944085431499,
      0.198721097662644,
      0.188463052784479,
      0.184313535868318,
      0.178682036696994,
      0.171379627936958,
      0.16974095089058,
      0.178379940283322,
      0.187353115489529,
      0.196589064945518,
      0.205140846227953,
      0.199721083104161,
      0.169308643350517,
      0.140767816785084,
      0.134976008399235,
      0.139739274736181,
      0.144970746583821,
      0.152498792989943,
      0.163574883392494,
      0.174617333665399,
      0.176772164355123,
      0.174404336760795,
      0.178655939777193,
      0.177138314742334,
      0.16345540032267,
      0.163935921605109,
      0.188626888497371,
      0.193432013533779,
      0.172342671784324,
      0.158472120481363,
      0.162991058625984,
      0.162526349367858,
      0.144977639373045,
      0.133974311063356,
      0.133775951847846,
      0.143068558435805,
      0.164546963934953,
      0.163433008505618,
      0.132424304756916,
      0.126926963151347,
      0.148422488531387,
      0.172072966513146,
      0.198147508379733,
      0.210340176974548,
      0.172525900457413,
      0.126367131798401,
      0.123063638544013,
      0.163138394838542,
      0.195789461517136,
      0.183276271868459,
      0.189096817701646,
      0.218511898485019,
      0.215929463763336,
      0.182349720360835,
      0.15968827374551,
      0.163425228086038,
      0.1985606819536,
      0.235792240336894,
      0.21862415445584,
      0.181318331653327,
      0.170969207669094,
      0.176162209243967,
      0.176750659551066,
      0.163110931824251,
      0.146333083241153,
      0.145085163178853,
      0.153733667812675,
      0.166319781055609,
      0.174744786145648,
      0.17745039987073,
      0.190824338226663,
      0.216287562273755,
      0.223773486289759,
      0.198896139279579,
      0.164121362967917,
      0.142033089017241,
      0.146208909948934,
      0.187529576412081,
      0.22607742228802,
      0.203084160242374,
      0.160406821643813,
      0.14553431143192,
      0.143982119396387,
      0.141689821285805,
      0.126938364718691,
      0.107422123115667,
      0.101765840394375,
      0.101896445887573,
      0.0864650175483526,
      0.00131624158107563,
      0.0231357982053591,
      0.061972631253413,
      0.113038458234411,
      0.122469377142824,
      0.0951932655089739,
      0.0690445421777221,
      0.0685171559619969,
      0.0786345702342072,
      0.0955738464934598,
      0.106924972047081,
      0.107172120189714,
      0.096509724241955,
      0.0797909834261864,
      0.0779992902483697,
      0.0788000755774642,
      0.0641389505530097,
      0.0525794536940945,
      0.0581098426370658,
      0.0606871097539507,
      0.0613236255916013,
      0.0750596227457096,
      0.115267249163399,
      0.164751388074833,
      0.186265390398116,
      0.165265744387167,
      0.136256238325737,
      0.112031775556288,
      0.0888217440806491,
      0.0687189162601402,
      0.0540350484340692,
      0.0465927906894798,
      0.0456846055837902,
      0.057922458245008,
      0.0840434711991125,
      0.106606981040727,
      0.102078198598231,
      0.0854642784043984,
      0.0618778969867677,
      0.0460990546254158,
      0.0455093242020863,
      0.0613699626280307,
      0.0921828731174577,
      0.120722331758045,
      0.132276821002364,
      0.15146600464123,
      0.171573470913419,
      0.154059475375236,
      0.11350545771423,
      0.0901019675317082,
      0.0909328245111113,
      0.103373319977945,
      0.118184198384427,
      0.138166984092521,
      0.148116796716532,
      0.140212475381354,
      0.133515790888349,
      0.128254521418137,
      0.124353484529503,
      0.136211345303323,
      0.15719638635026,
      0.151990955494943,
      0.135290009528037,
      0.138357859097635,
      0.151830879820956,
      0.144921298378071,
      0.13049009065961,
      0.126337025347856,
      0.117991926635684,
      0.0953545091184149,
      0.0770527108430941,
      0.0760403469444265,
      0.0834360639786551,
      0.0759008603705278,
      0.0607418555396011,
      0.0596781896355993,
      0.0696780085033569,
      0.0727309729622773,
      0.0657781664409579,
      0.0560460680510417,
      0.0523278563564915,
      0.0570727027129389,
      0.067571013665787,
      0.0840312484036294,
      0.114881756098323,
      0.137364776954979,
      0.130641756151156,
      0.113879948373414,
      0.104572263176717,
      0.108158251170167,
      0.119333040204875,
      0.127309241851148,
      0.128209356758327,
      0.13306239555808,
      0.143893752610016,
      0.147093509601187,
      0.13245929792052,
      0.116915975242475,
      0.106864793306268,
      0.107297279296193,
      0.109842619452914,
      0.107442127209502,
      0.0978836036295744,
      0.0953328137157087,
      0.109804764407477,
      0.144156961700981,
      0.157160857451512,
      0.131229696225296,
      0.131794440300116,
      0.183347902710347,
      0.238047604177922,
      0.223391645336767,
      0.18980105013374,
      0.179596729430692,
      0.175694507711625,
      0.169713470623983,
      0.157843013262069,
      0.151171741389809,
      0.163979520254106,
      0.187529017403606,
      0.20235905719841,
      0.203223541068147,
      0.192277706173684,
      0.1618870031034,
      0.130195026860967,
      0.120202755209962,
      0.125623199350296,
      0.13134856181135,
      0.139340386880252,
      0.155194017014709,
      0.166013068397455,
      0.163590756895895,
      0.157590573863232,
      0.15630359161898,
      0.151733178443666,
      0.134254777689593,
      0.125336062702044,
      0.148711995294756,
      0.167515597828953,
      0.153365086111133,
      0.137360046841493,
      0.137475440497674,
      0.133393955820134,
      0.12137141436614,
      0.117815991638858,
      0.119759440946209,
      0.131335826165857,
      0.158873828544359,
      0.158109710767823,
      0.123731422466731,
      0.114202463383436,
      0.131050807923116,
      0.149374765968473,
      0.169978826980854,
      0.19227276580892,
      0.169837105563161,
      0.126176838766524,
      0.121447205929031,
      0.163146831049246,
      0.192476627042917,
      0.173774611209187,
      0.179949238680541,
      0.207252453077305,
      0.201682113810694,
      0.166195231410665,
      0.143290316783154,
      0.146662586411647,
      0.179147741839195,
      0.214877714787466,
      0.203490924287805,
      0.166537605339222,
      0.153118865539102,
      0.159244354032664,
      0.15852329753101,
      0.142091055078243,
      0.128235796558801,
      0.129119304164092,
      0.135126085087763,
      0.144882064592465,
      0.158040236951607,
      0.167113043165818,
      0.178961535179606,
      0.19475034334492,
      0.197224523174208,
      0.17441936183588,
      0.143154413723911,
      0.123091400241,
      0.12397354832452,
      0.150608716987562,
      0.181076518967689,
      0.174868180607829,
      0.147147387158278,
      0.129181344542777,
      0.120088783699241,
      0.114687401677965,
      0.106751714848195,
      0.0938438184021611,
      0.0810775817024219,
      0.0670762016065378,
      0.0510719544349063,
      0.00101550441941643,
      0.0187151440491581,
      0.0488352777361692,
      0.0832669217114211,
      0.0889402778966599,
      0.073322646026549,
      0.0584963613374296,
      0.0638717557410191,
      0.0793346164807014,
      0.0924034388232971,
      0.0930014496472206,
      0.0917566283289329,
      0.0865177661534951,
      0.0728726621337246,
      0.0674364249655671,
      0.0713169773154131,
      0.0650615623694097,
      0.0530460474642406,
      0.0525128404297322,
      0.0616506624467686,
      0.0815510425668186,
      0.109613500117665,
      0.137644435218857,
      0.165231603484283,
      0.195672650910933,
      0.204989566042112,
      0.165491876588716,
      0.12330001540051,
      0.111967711284915,
      0.115786099916072,
      0.11504466932342,
      0.100778098350464,
      0.079268705254599,
      0.0672399163340978,
      0.0742553770703218,
      0.0897941680705866,
      0.0956461311550943,
      0.0926436554676764,
      0.0739114824476353,
      0.0512314178688421,
      0.0444050100291069,
      0.0588733389270814,
      0.0867352359855333,
      0.109027951661722,
      0.121509751744177,
      0.136461236829845,
      0.14940631897373,
      0.135565984432935,
      0.103472669561153,
      0.0808817532099699,
      0.079025053933199,
      0.0871780366078033,
      0.0942758036288174,
      0.110966716875549,
      0.13843288782931,
      0.151411984748167,
      0.14399781900661,
      0.127485172758285,
      0.115551475765664,
      0.116284112614111,
      0.134467695409283,
      0.13787759142907,
      0.127867026171517,
      0.130013909486417,
      0.140756289045299,
      0.139538562040098,
      0.12781281054096,
      0.118831308052489,
      0.111344471560897,
      0.091720099604194,
      0.0833285853722266,
      0.104197786715638,
      0.118739191391777,
      0.091304110429587,
      0.0567279341080385,
      0.047981206116401,
      0.0565240059019076,
      0.0573539772731732,
      0.0493461757940099,
      0.0439570037971094,
      0.0445483322081784,
      0.0479981764751151,
      0.0561664547269578,
      0.0765850439408555,
      0.115026992091672,
      0.136336683664819,
      0.118447844648637,
      0.1020479047315,
      0.105423857738028,
      0.122451113152718,
      0.139035642977413,
      0.137629007430632,
      0.127082891077793,
      0.12966427865709,
      0.143660034317727,
      0.151109609778706,
      0.143548540962525,
      0.12915728116613,
      0.115743146303837,
      0.107940000037903,
      0.103598676020539,
      0.1041667617551,
      0.102544710291239,
      0.0982101829066037,
      0.113284011283478,
      0.155405741098777,
      0.172599898837504,
      0.136127957617506,
      0.121579883860313,
      0.159412169177508,
      0.219949932997443,
      0.218886300658529,
      0.187385697382457,
      0.179764084964747,
      0.181742303879703,
      0.177156840574636,
      0.164094160374198,
      0.15379677032581,
      0.161090341273027,
      0.185715071796343,
      0.204214302009695,
      0.199273307646025,
      0.187745873036379,
      0.165996973271471,
      0.136654054447388,
      0.125964754626421,
      0.135113031119398,
      0.141266499286287,
      0.141755084702677,
      0.151210115745303,
      0.156063780853706,
      0.145699268694961,
      0.132712600257301,
      0.126407216368874,
      0.123191959079595,
      0.114528974494464,
      0.112494159379986,
      0.133290540270862,
      0.151194007731619,
      0.141202494663299,
      0.128899589907911,
      0.130341112600114,
      0.129918359286072,
      0.119200109175955,
      0.112128884096013,
      0.114489676049584,
      0.13416346518593,
      0.163169972311885,
      0.152748683563149,
      0.11953354633481,
      0.114868141124113,
      0.12839435126351,
      0.140350606829169,
      0.153632833413299,
      0.164771064634631,
      0.142919526080525,
      0.110590657802619,
      0.11826966104105,
      0.16946110480758,
      0.201500340326422,
      0.177796573987651,
      0.17781326118347,
      0.198915963690624,
      0.191500298125071,
      0.157528413157638,
      0.135958714753064,
      0.137083436391339,
      0.160532714542473,
      0.186201340896822,
      0.181956388737307,
      0.158482954044751,
      0.147760563316191,
      0.151440177982274,
      0.151449493335331,
      0.13573266160256,
      0.119568976908805,
      0.115776075485963,
      0.119030678675619,
      0.13411547778775,
      0.15833835296793,
      0.172400788130979,
      0.174256710907178,
      0.176828965000159,
      0.179631782603572,
      0.164606802651287,
      0.133480379117537,
      0.111103098327356,
      0.106317959379631,
      0.12155748123035,
      0.146080451011859,
      0.154224458678701,
      0.142048572014634,
      0.124934502550898,
      0.111441494327711,
      0.103884306635906,
      0.0987478499658876,
      0.0913694071923357,
      0.0811103960582254,
      0.0636779054562999,
      0.0436907479953737,
      0.000776293526098942,
      0.0178965787177324,
      0.0434960355485936,
      0.0593424564930026,
      0.0612989292802667,
      0.0609826046664299,
      0.0575089113373053,
      0.0686365494223144,
      0.0917349307713432,
      0.0948151836846758,
      0.0794596075487111,
      0.0757491981630844,
      0.0804460003926066,
      0.0798428253740583,
      0.0774538254182826,
      0.0831982644507396,
      0.0903190805955565,
      0.0883396141340105,
      0.0831927463326622,
      0.0919907930622875,
      0.118675516683169,
      0.134856233031313,
      0.123155469679696,
      0.110997683709914,
      0.143406286963682,
      0.20618389163303,
      0.194924204702789,
      0.153258723570151,
      0.154209721060871,
      0.154794316733341,
      0.143491063584611,
      0.126115802024309,
      0.102936504383555,
      0.0789007443032564,
      0.0741233206818815,
      0.0804512722577793,
      0.0906821217829755,
      0.103837005959207,
      0.100859108435678,
      0.0756238597912235,
      0.055274299162598,
      0.0577965899908924,
      0.0797961554053832,
      0.103903304897668,
      0.124822366368629,
      0.143952334840826,
      0.150225356892879,
      0.130759929173831,
      0.105923543525691,
      0.093521063992748,
      0.0937339921180987,
      0.0940292469132778,
      0.0908618786040475,
      0.10186153835194,
      0.134829228343648,
      0.156225747271754,
      0.148488293892623,
      0.127638213280235,
      0.114640328860745,
      0.113223757581828,
      0.128227335222369,
      0.134459135512598,
      0.127381085311537,
      0.125866044854581,
      0.133170814024129,
      0.130702851963435,
      0.117812764097292,
      0.108468112407687,
      0.106864559813518,
      0.100462716776809,
      0.113203564922084,
      0.137759038420773,
      0.134661291684173,
      0.0992591737771085,
      0.0744219787829594,
      0.0732499842958678,
      0.0799648572907656,
      0.0726580950636353,
      0.0626215090479029,
      0.0568125207179824,
      0.0534201940752506,
      0.0509619090136448,
      0.0545570951040756,
      0.0764781798061756,
      0.113755007726567,
      0.124442406801357,
      0.103226312500812,
      0.09968283062139,
      0.11940485954561,
      0.142406914966562,
      0.157611086853173,
      0.16224630434449,
      0.156931982245381,
      0.15625834228018,
      0.164513520091574,
      0.167181082684262,
      0.155097245878329,
      0.134101530863969,
      0.117311785041148,
      0.108767140803771,
      0.106452031458349,
      0.112703984725658,
      0.104891565960347,
      0.0888098246607228,
      0.104753634082355,
      0.163473253373427,
      0.196151258550811,
      0.151234649747927,
      0.120960524237817,
      0.139836493801642,
      0.187756198080115,
      0.198498257677332,
      0.183873036542451,
      0.179201623423524,
      0.179947860049214,
      0.174801572751589,
      0.161999103140164,
      0.146981053891637,
      0.147640870642943,
      0.168381462253536,
      0.190331760871442,
      0.19089774005789,
      0.178896996573842,
      0.158338002906443,
      0.137034741607265,
      0.134282206566002,
      0.14134372716611,
      0.143451603358958,
      0.141762246902339,
      0.141947721251151,
      0.134654516713294,
      0.12145848085827,
      0.110836867142888,
      0.107720638055016,
      0.106962469355001,
      0.10808606019543,
      0.120707071400569,
      0.146273221667327,
      0.158413044677126,
      0.145685510645245,
      0.13504037035718,
      0.134883491342781,
      0.132431309125314,
      0.123257412217414,
      0.115096260132557,
      0.114198703854689,
      0.136460376842255,
      0.171091154825961,
      0.160348846891216,
      0.122295816959816,
      0.114359437775486,
      0.126796797878226,
      0.140431191766518,
      0.160008254608923,
      0.170456848117511,
      0.139765614335566,
      0.105118082020297,
      0.116632435956561,
      0.173491663702478,
      0.213610767255782,
      0.188761622336096,
      0.176655179842393,
      0.194436214288069,
      0.196297171596562,
      0.169381458996255,
      0.143933026916329,
      0.136871148475992,
      0.151073192627447,
      0.169122245758487,
      0.16947082544573,
      0.161221087758321,
      0.157409213168775,
      0.155647825463915,
      0.151753582910991,
      0.140413965154513,
      0.125847520285431,
      0.116903920600803,
      0.117229917576391,
      0.138179111422408,
      0.170855580017332,
      0.186035706211453,
      0.177225184008924,
      0.169402425725769,
      0.173048951628365,
      0.162129098438809,
      0.132282001240487,
      0.11028388865147,
      0.099939581546709,
      0.107294640296833,
      0.130775700392927,
      0.152183541460984,
      0.154828399281299,
      0.139252945184511,
      0.118367870455829,
      0.106114612795614,
      0.10742089190687,
      0.109576729573328,
      0.101296633808912,
      0.076833463682231,
      0.0498497861543816,
      0.00122507823639368,
      0.0264828089814898,
      0.0618102570010962,
      0.0753478193062343,
      0.0730806730806663,
      0.0838276227652032,
      0.089703797046922,
      0.0992382114308413,
      0.115521758349397,
      0.109222065911798,
      0.0888353231563782,
      0.0837998066925533,
      0.095163228980373,
      0.120095796179119,
      0.131794856002962,
      0.125821234788952,
      0.132368522169827,
      0.143354303607742,
      0.141818506460804,
      0.158365417993001,
      0.177523732471671,
      0.151139318394355,
      0.103112028965866,
      0.089677340808827,
      0.125597740383958,
      0.202921973641608,
      0.21872351689097,
      0.172334128244431,
      0.132293403978388,
      0.103997549086124,
      0.0959812666667234,
      0.108094177452345,
      0.1146747707027,
      0.109169651594446,
      0.104089541986353,
      0.0974009247339091,
      0.116678969007823,
      0.158114197382924,
      0.167498837035132,
      0.130533060395456,
      0.0904995318547936,
      0.0769438362205236,
      0.0912531998564393,
      0.121381903553691,
      0.154610721624891,
      0.174903688644974,
      0.167689468499718,
      0.138054646855043,
      0.120278433319953,
      0.127861241020865,
      0.130378358556358,
      0.11777879284802,
      0.112300993325976,
      0.129050449815162,
      0.157476376731429,
      0.173978862613503,
      0.172002335974481,
      0.149941783211641,
      0.127172154889396,
      0.123476639518302,
      0.139002630470326,
      0.14052927638845,
      0.131604613830331,
      0.135214883927252,
      0.150327514367971,
      0.139822796401722,
      0.112705633498271,
      0.0968203417399024,
      0.0950433930998089,
      0.102693966590867,
      0.143678120482682,
      0.187527759331428,
      0.186924322325678,
      0.147312348548609,
      0.124696348456052,
      0.132639249472265,
      0.136641609998371,
      0.108559115620364,
      0.0971381692968392,
      0.102090077446341,
      0.100606493250345,
      0.089703359202769,
      0.0838481013147295,
      0.1014427370806,
      0.133294315579893,
      0.139075416943309,
      0.127148765171638,
      0.127384123187157,
      0.138359091360639,
      0.154077744531635,
      0.169294755001121,
      0.18107946368978,
      0.181850563177228,
      0.180318792633065,
      0.192304562365264,
      0.193225221968835,
      0.166885104885412,
      0.139239033078292,
      0.131302239656974,
      0.128048772866089,
      0.132571775778396,
      0.149365092590671,
      0.12841603790118,
      0.0954851432356714,
      0.116401095506344,
      0.195076569469141,
      0.239117381862249,
      0.1788060617905,
      0.127262216442978,
      0.135619651922566,
      0.179828214622744,
      0.193508313116488,
      0.184532738251472,
      0.183088429729092,
      0.183743214421762,
      0.177824719441679,
      0.161832984150653,
      0.141090402610439,
      0.137672460039079,
      0.154914448891538,
      0.173701596825973,
      0.182172022244835,
      0.179990581394089,
      0.162391343237467,
      0.144353318166885,
      0.146077413678184,
      0.157054224591449,
      0.167057596858078,
      0.166889180529999,
      0.149241497012904,
      0.12520072657709,
      0.110771178616595,
      0.111754910189019,
      0.121455684033113,
      0.124310269440143,
      0.1290138035749,
      0.152886637865269,
      0.184499392223144,
      0.191900606165832,
      0.173048119879482,
      0.155789809696265,
      0.151457248607709,
      0.153067390979103,
      0.156139471558351,
      0.145494081353253,
      0.128512219438527,
      0.139549330232776,
      0.178124804774593,
      0.17899418091882,
      0.134842102417412,
      0.113564204373177,
      0.126882364105065,
      0.150778906276525,
      0.176051617369604,
      0.18545720508246,
      0.145667718895445,
      0.107494037591917,
      0.12538779621997,
      0.191243848611315,
      0.236898027246375,
      0.207410438674331,
      0.187613230717104,
      0.202715463964627,
      0.205087534447229,
      0.181606511461829,
      0.154561718437723,
      0.14079670676922,
      0.153529359015457,
      0.176025369065497,
      0.18272966543921,
      0.181556895598075,
      0.17944089703962,
      0.1715117124,
      0.162894843814644,
      0.160879604065965,
      0.1496569705161,
      0.130320639869406,
      0.127335262938253,
      0.156223932616292,
      0.192847582785249,
      0.205391678436871,
      0.190768695907205,
      0.173033588629337,
      0.171062367420229,
      0.163129827779442,
      0.143178669511507,
      0.120775188970122,
      0.102114613520769,
      0.105747782211533,
      0.135294128379374,
      0.175982682317202,
      0.199302975412516,
      0.184768332261156,
      0.156027721804046,
      0.144382446752871,
      0.150777755923489,
      0.158177971714778,
      0.150611615034121,
      0.116146082382077,
      0.0722249738670362,
      0.00200957337781747,
      0.0420756876544712,
      0.0977532503902226,
      0.110351802873671,
      0.0914054085171568,
      0.107627406081729,
      0.135688855487093,
      0.151106266241995,
      0.150773062691798,
      0.131143001630092,
      0.119681547513165,
      0.119309492405882,
      0.12796845634523,
      0.178039493738103,
      0.208287995014029,
      0.169776079902771,
      0.146976474785193,
      0.174318562792012,
      0.198015490921751,
      0.211910510688658,
      0.19469491835357,
      0.133161532889048,
      0.0744025245837514,
      0.0704537053523707,
      0.107629292146354,
      0.169851241938838,
      0.19390683899711,
      0.144117401328956,
      0.089580556719986,
      0.0650383864620828,
      0.0634165305105501,
      0.0836742684681268,
      0.122776854957321,
      0.170006483653122,
      0.190938896532169,
      0.171859601721892,
      0.188888795920466,
      0.203588383047991,
      0.165041921062568,
      0.122867382140363,
      0.111874480470946,
      0.121461858932651,
      0.143745535134458,
      0.16629004793201,
      0.190813744955894,
      0.209835001258152,
      0.198485721024237,
      0.157376963644992,
      0.14339484466694,
      0.177663793910962,
      0.182610958759149,
      0.156708192303144,
      0.164702209924618,
      0.199785665855492,
      0.202170949066678,
      0.195106816951641,
      0.208960161133303,
      0.191733893382068,
      0.153022915928518,
      0.152349739884766,
      0.174843008176067,
      0.163247613934149,
      0.145953381880131,
      0.159691558896606,
      0.19572609021611,
      0.19333681003441,
      0.155365487250695,
      0.126525283681181,
      0.114317118939371,
      0.117845585460195,
      0.142648258383621,
      0.160766042938778,
      0.140262609338626,
      0.111382589515529,
      0.128476359881384,
      0.184918050541412,
      0.209114583841071,
      0.17687003111444,
      0.177243438029234,
      0.201393883287583,
      0.196800350272343,
      0.160490597275826,
      0.142484192879865,
      0.166351436618233,
      0.202286080708176,
      0.194101872035633,
      0.176891792535214,
      0.177567064737561,
      0.184485956232833,
      0.193539359821342,
      0.188534297321966,
      0.169933317355404,
      0.150672914676637,
      0.155380658171182,
      0.197693474061031,
      0.225739534721802,
      0.200819168968084,
      0.170342359132499,
      0.17181472968352,
      0.180954432640022,
      0.198802126248966,
      0.216890137318478,
      0.178335924351827,
      0.130607506535875,
      0.155597496860763,
      0.229351375959058,
      0.234065051998861,
      0.15771553444577,
      0.125502931427296,
      0.153061441415774,
      0.203977692719067,
      0.207888838519008,
      0.191362952398443,
      0.195700872494106,
      0.204418468973615,
      0.195455878539481,
      0.174761510220863,
      0.159282946776673,
      0.155795624359024,
      0.162096408155021,
      0.171881309217137,
      0.181045739036838,
      0.185625843655562,
      0.175834154938793,
      0.159526612190461,
      0.157570896797921,
      0.17687076184912,
      0.209490393505316,
      0.217153312144005,
      0.184919382686153,
      0.146087192871654,
      0.121748042275235,
      0.133148374804215,
      0.16146539521835,
      0.169446809964975,
      0.172567794193294,
      0.203204331102539,
      0.237415161645854,
      0.240076612039614,
      0.216569082634594,
      0.193571331180646,
      0.185580942100084,
      0.193085386549292,
      0.198351078779636,
      0.177794788984818,
      0.161663653610311,
      0.1784743624903,
      0.207603231324174,
      0.199626302102588,
      0.151094151341734,
      0.121533779399476,
      0.140305037267326,
      0.176857157349347,
      0.197335375308904,
      0.191745006342551,
      0.148425893835912,
      0.117246169572898,
      0.143430143232652,
      0.212176167169761,
      0.252813679096945,
      0.22179344822101,
      0.211064221500956,
      0.226821901497479,
      0.221315957922748,
      0.196626575713371,
      0.167878745507423,
      0.146710910570929,
      0.163827141492351,
      0.20344924668704,
      0.219675151331935,
      0.213040011396242,
      0.213102855509831,
      0.216414375074127,
      0.211331395430382,
      0.216583004926752,
      0.198214997379584,
      0.158730807600049,
      0.156858870042234,
      0.200425946461708,
      0.225254317601228,
      0.213884614682962,
      0.201793397960121,
      0.194574217583257,
      0.185498167380244,
      0.183411663770798,
      0.181987881454841,
      0.152160243760601,
      0.116473637414285,
      0.118982205727342,
      0.156381930061188,
      0.204219965410438,
      0.230421181759745,
      0.224684531313153,
      0.214179315125092,
      0.221475495036712,
      0.22149263961326,
      0.195996431057646,
      0.172249198919436,
      0.151837549803407,
      0.113017756170782,
      0.00243141817806267,
      0.0516654961954344,
      0.124320143462218,
      0.145200199717559,
      0.105531521715652,
      0.0987358955145844,
      0.138311815565921,
      0.170919050366086,
      0.164927967711707,
      0.150710386983585,
      0.162628709421195,
      0.159809923457771,
      0.151150248982209,
      0.188561272339807,
      0.213842022600624,
      0.166574184969087,
      0.123407282653214,
      0.148650203220298,
      0.188080554629662,
      0.188133108314644,
      0.137397796513443,
      0.0828848368399441,
      0.0507451594624116,
      0.0569591704573904,
      0.0886547132412729,
      0.126154807266659,
      0.137690802954703,
      0.102898843613169,
      0.0681675193713997,
      0.0554282553757721,
      0.0519479409746169,
      0.0563719260645424,
      0.0821122075091968,
      0.141772993853137,
      0.207912616090783,
      0.209063165061924,
      0.173405284468648,
      0.141030323365124,
      0.0963266976469248,
      0.0749866715398551,
      0.101876161677073,
      0.15816511160989,
      0.208594125899467,
      0.207934400107607,
      0.19407820585712,
      0.221922032923078,
      0.241090683194771,
      0.200759116930849,
      0.181141406997941,
      0.202225821236351,
      0.193820587927633,
      0.173449269103181,
      0.201961214865425,
      0.247323942673049,
      0.231565091962342,
      0.210173683573123,
      0.232266502236697,
      0.215065218467511,
      0.173464616457335,
      0.194286290658214,
      0.229676123914031,
      0.201530862501919,
      0.174369262734363,
      0.196341805972275,
      0.231228192123519,
      0.222129476056449,
      0.19184607796165,
      0.182588259632955,
      0.193956935244774,
      0.166178164106704,
      0.12074370955289,
      0.0952309831629796,
      0.0804582134421302,
      0.0689931110961868,
      0.0934239858769505,
      0.163512496888311,
      0.235890389799257,
      0.23861484387463,
      0.214277550204968,
      0.209512163822197,
      0.194380357170579,
      0.160227941556012,
      0.155366225302207,
      0.19146754440546,
      0.238042892274022,
      0.226849290213244,
      0.17618731383349,
      0.165021381664978,
      0.193608735658078,
      0.213313091955327,
      0.188077186251547,
      0.145726006207304,
      0.117388231427282,
      0.127653126651826,
      0.174880116334156,
      0.200350466047542,
      0.18146093957306,
      0.170666457023012,
      0.172101586600064,
      0.180664541262925,
      0.21217720503597,
      0.22163109009684,
      0.175286218916144,
      0.134309072228694,
      0.147810457780103,
      0.19190467222438,
      0.182296299714573,
      0.128368851760228,
      0.130256752659598,
      0.180202033233982,
      0.227322750743039,
      0.210504850183686,
      0.188527252001847,
      0.19471536983825,
      0.205412106622078,
      0.194524822626118,
      0.18095326736861,
      0.17951180193629,
      0.175537864158293,
      0.168835778740028,
      0.17538798262483,
      0.18610707469618,
      0.190351164409146,
      0.183361131242127,
      0.165911654638659,
      0.158052001879862,
      0.169903393064686,
      0.19289033836888,
      0.211706463093448,
      0.219396776042584,
      0.198948554157852,
      0.159412499244201,
      0.167327982881194,
      0.205936037262537,
      0.217020669189684,
      0.212639365239609,
      0.231530883786364,
      0.250063149832423,
      0.241121781016724,
      0.219229318086749,
      0.208785801622388,
      0.212385222242148,
      0.214889579046277,
      0.194671797122885,
      0.164457344579813,
      0.162246965083758,
      0.203873925767006,
      0.245329589386247,
      0.220188237723608,
      0.160266013823861,
      0.145762034412466,
      0.186284703187978,
      0.234976060034088,
      0.241014431300741,
      0.217326684232334,
      0.172651800247852,
      0.138790050126542,
      0.153949816036101,
      0.206186351550733,
      0.231665632091975,
      0.206080349019419,
      0.212450245262033,
      0.239288380728859,
      0.240783953571426,
      0.213343058604065,
      0.176262526144689,
      0.157050847470022,
      0.189430607337531,
      0.23997766319467,
      0.234782890159845,
      0.20832541369411,
      0.217600747181979,
      0.238318814196249,
      0.248539540402681,
      0.255722068923508,
      0.223116388675409,
      0.178051613860805,
      0.178379583566146,
      0.211322723532266,
      0.214916668694168,
      0.200222778857957,
      0.208878123782081,
      0.221304398893121,
      0.211053976106861,
      0.20852166472598,
      0.207290919657971,
      0.172805394717523,
      0.139571161361672,
      0.157314823917185,
      0.199514304215021,
      0.210988183873516,
      0.202145115211012,
      0.207527956927076,
      0.22631323185481,
      0.250618949402981,
      0.237276756760915,
      0.179354907222822,
      0.143807069438789,
      0.146896588042017,
      0.13094506888631,
      0.00168978395464777,
      0.0392928012028186,
      0.111596452829132,
      0.177506874452199,
      0.156227086690792,
      0.104377937907454,
      0.101658052258543,
      0.130459572515212,
      0.13422435940156,
      0.144930241623783,
      0.180002747719943,
      0.169289377989937,
      0.135795153066025,
      0.133477745909408,
      0.131771072881504,
      0.103425880560084,
      0.0759594538565447,
      0.0870707658945983,
      0.115801052158086,
      0.110332476456878,
      0.0734583779453754,
      0.0505509535712829,
      0.0522335311977988,
      0.0706472538434935,
      0.0938995109909582,
      0.110823371692306,
      0.11268032789175,
      0.088100510886136,
      0.0635468966378689,
      0.0530681349595991,
      0.0496537702819135,
      0.0502273692967051,
      0.0564426227448833,
      0.0834504864376675,
      0.138216597068814,
      0.156769485688786,
      0.11336390010518,
      0.0760214239126555,
      0.0516488920046172,
      0.0437601066575883,
      0.0629898429207109,
      0.103921499747675,
      0.155875276499523,
      0.181146588503664,
      0.172365706096674,
      0.199981969344515,
      0.239032049350118,
      0.212561056855182,
      0.168472259146169,
      0.151714975754197,
      0.139146257775069,
      0.13304877749625,
      0.151429569657571,
      0.188100870410398,
      0.194620614152791,
      0.187701761290596,
      0.194020073854571,
      0.177631762537927,
      0.162818054139105,
      0.198394227800602,
      0.23280096085696,
      0.205418459735557,
      0.185117528621849,
      0.205018930554563,
      0.207013478375991,
      0.173807597265723,
      0.162408922356278,
      0.175996423884603,
      0.187986517277053,
      0.151734097564829,
      0.0973507532571607,
      0.064408064531882,
      0.062088956537668,
      0.0603059610121223,
      0.0637658259335938,
      0.0898883743510679,
      0.133461930517589,
      0.148739980327456,
      0.134657556938558,
      0.117511427467716,
      0.0985337112667382,
      0.085524001680978,
      0.0959501480973135,
      0.123519603464922,
      0.158649379067999,
      0.165626233593846,
      0.13448545165765,
      0.125961346002778,
      0.15137709868618,
      0.167268699295549,
      0.147810893998809,
      0.117378173388027,
      0.10162101569052,
      0.117412778082851,
      0.153743092510704,
      0.161616840022912,
      0.136855331825963,
      0.124201749749005,
      0.119598426470132,
      0.129183143923875,
      0.152912271156026,
      0.150035748302736,
      0.11706565603551,
      0.0992493997382679,
      0.106376681775378,
      0.136101561185685,
      0.147795252505541,
      0.124084375892479,
      0.130113044948804,
      0.183301957062812,
      0.230167152048964,
      0.204034655703305,
      0.174490120202829,
      0.173476243348439,
      0.178291550392124,
      0.177206176219989,
      0.177995364422648,
      0.177302201556778,
      0.172006751369849,
      0.176116026284358,
      0.194780894099138,
      0.197643412754194,
      0.179780301084921,
      0.160846166209191,
      0.140764921293478,
      0.132521065010925,
      0.13500507913047,
      0.143171619838366,
      0.169240298731118,
      0.211638857232041,
      0.223660513331782,
      0.19588106465621,
      0.185071068742218,
      0.195491665756596,
      0.195971738121054,
      0.18224684820718,
      0.181566531578914,
      0.193217851635767,
      0.18785312436953,
      0.171971390506297,
      0.168785885330179,
      0.174908181061363,
      0.168171759681584,
      0.141212164612192,
      0.124555778182187,
      0.127117397556405,
      0.160367414395984,
      0.21585868112151,
      0.21353075413027,
      0.1688940472859,
      0.16930295639275,
      0.207863032340837,
      0.24235430908914,
      0.244139384826427,
      0.230083547758246,
      0.190239169333241,
      0.143365811408552,
      0.138050910027026,
      0.174974027872341,
      0.205470576894882,
      0.196976116123338,
      0.204240769705469,
      0.224335835833069,
      0.220583490911825,
      0.188864427083119,
      0.164986222387904,
      0.169043440430712,
      0.205490771372191,
      0.238809090056404,
      0.212141774344872,
      0.17509329116218,
      0.18299141703623,
      0.202328834361451,
      0.204625286398028,
      0.192507358889742,
      0.163735683559614,
      0.143151240422836,
      0.14718018213747,
      0.164804746819072,
      0.170813288664784,
      0.168130448826885,
      0.17896875623973,
      0.202921391201049,
      0.216175456902385,
      0.21309700990828,
      0.18748447227597,
      0.155680252446131,
      0.149096914514003,
      0.188728372462716,
      0.230121100454031,
      0.203461237188464,
      0.158637547699586,
      0.156835960749788,
      0.169781300210574,
      0.173656974984038,
      0.15525137116003,
      0.119083021624925,
      0.098269081247849,
      0.099090173143697,
      0.0883124081967838,
      0.000631457274793488,
      0.0187395527570416,
      0.0667501877272065,
      0.146080041591047,
      0.157421381535116,
      0.100352302687424,
      0.0623574253868576,
      0.0735943090889489,
      0.0840203710436934,
      0.0995318626059971,
      0.130897349652873,
      0.133710935721619,
      0.115033127835494,
      0.100133077043929,
      0.0806522004110519,
      0.0664454646539919,
      0.0597989829342167,
      0.0598510186336061,
      0.0694101842327851,
      0.0684658663492799,
      0.0561607491388025,
      0.0541282652356985,
      0.077990553613853,
      0.112793648540943,
      0.133727996942117,
      0.127215156492265,
      0.11186534610743,
      0.0931056298253381,
      0.0733899370604918,
      0.0590673486920598,
      0.0505986706657854,
      0.0503935226154426,
      0.054628046856275,
      0.0629361053950724,
      0.0836933452919607,
      0.10122272507104,
      0.0829194411279489,
      0.0581627002807463,
      0.0430210000677302,
      0.0345465035821958,
      0.0384470378498821,
      0.0607435556033047,
      0.100887928921898,
      0.131766021770737,
      0.138278560472139,
      0.165400466210049,
      0.193128357521999,
      0.167310874346208,
      0.12261622921464,
      0.0983853664261215,
      0.0905472638259898,
      0.0911023410048931,
      0.0990551718867493,
      0.120877350239751,
      0.13797980337022,
      0.144034611852363,
      0.14514763844676,
      0.136826672608647,
      0.132218442739097,
      0.146601353963841,
      0.168363734779565,
      0.15978115435469,
      0.146484943114394,
      0.154773500511993,
      0.154351141789321,
      0.126630739149316,
      0.11369863877105,
      0.127552220576,
      0.13849887063368,
      0.113300304680104,
      0.0826341301152065,
      0.0659666313943646,
      0.0622561844790628,
      0.0573743831090063,
      0.0529734728971867,
      0.0578817077516294,
      0.0681642874695822,
      0.0675579001800313,
      0.0625892594857703,
      0.0589682038637259,
      0.05427868084026,
      0.0510860344320022,
      0.0554538995606234,
      0.069871617380541,
      0.0963450766613772,
      0.114286703579604,
      0.112526874339499,
      0.112110258545296,
      0.119410896410759,
      0.119547480923756,
      0.108637660773279,
      0.0962910528643513,
      0.0920740834656385,
      0.109753937193682,
      0.146823710786525,
      0.157125232937702,
      0.134127970960785,
      0.113104338769343,
      0.0977732217722787,
      0.0937639301211369,
      0.103653565388403,
      0.111396846417566,
      0.100281800956406,
      0.0880769478712468,
      0.0897788883908932,
      0.117134248102644,
      0.142095768119907,
      0.128881285011679,
      0.126233147673662,
      0.177126168261008,
      0.236660109990889,
      0.2129073762677,
      0.167091284416938,
      0.156859317722281,
      0.161253613412504,
      0.165686645378449,
      0.161490825081557,
      0.150894580779335,
      0.152864228278741,
      0.174404601181025,
      0.208892342331678,
      0.2237288578691,
      0.188219674953459,
      0.138402778446001,
      0.113579859568752,
      0.11081818520191,
      0.114764753430815,
      0.121732744902854,
      0.13739673485209,
      0.16174397536633,
      0.177746734715635,
      0.173877613890309,
      0.156958909759952,
      0.140946635203755,
      0.131784663968246,
      0.122179610897048,
      0.122358169477838,
      0.139697726431685,
      0.146015574334061,
      0.133649245725152,
      0.127677835568952,
      0.135571830501837,
      0.133794007188394,
      0.114302450037666,
      0.104837643068253,
      0.107029088756438,
      0.12196059797734,
      0.157936699282669,
      0.167627665617605,
      0.141584637693321,
      0.134178779017951,
      0.150153186736846,
      0.170328903759632,
      0.189465900653799,
      0.198749016643952,
      0.16441426093317,
      0.119512529470087,
      0.117594728219219,
      0.158059635961126,
      0.192983400330123,
      0.18049455922488,
      0.180885323796274,
      0.197265109460601,
      0.18845692149175,
      0.155596671376811,
      0.135472008105803,
      0.139389501825837,
      0.165764280748972,
      0.187254352646,
      0.16950143512788,
      0.142494609284211,
      0.143859960001744,
      0.156189065830095,
      0.15339162340129,
      0.13791729146472,
      0.121553719417886,
      0.115395977579998,
      0.122565407253596,
      0.137727689698678,
      0.147563261207457,
      0.149154875885223,
      0.156139340920403,
      0.176053384341855,
      0.19166028002819,
      0.184703555917615,
      0.151569321144096,
      0.125885126935034,
      0.127614513033835,
      0.163747387505079,
      0.198491601781717,
      0.177432057580478,
      0.136394325748737,
      0.122144934946425,
      0.118807092117594,
      0.113929532653038,
      0.105560505908448,
      0.0901325059530522,
      0.0741439364798284,
      0.0629318176067705,
      0.0508025651894134,
      0.000294098931371737,
      0.0139799420035061,
      0.044127116966332,
      0.0861348980305539,
      0.0980166089581555,
      0.0741900090036033,
      0.0489465584877344,
      0.0491088522568441,
      0.0621386930172011,
      0.0767702287234613,
      0.0903481318016005,
      0.102194702129561,
      0.106788627958641,
      0.0899842245439571,
      0.0639779583591533,
      0.054799140020317,
      0.0550283814276957,
      0.0539906746291189,
      0.0583390096927938,
      0.0592525977918826,
      0.0615239567056858,
      0.0789921976399762,
      0.109345971551394,
      0.13859077543465,
      0.161329276069569,
      0.160535220026748,
      0.125407566340993,
      0.102455090381421,
      0.0893970179988296,
      0.0752197433346676,
      0.0641382952068826,
      0.0607529704788184,
      0.0609125583577654,
      0.0653749410707222,
      0.0760471483730187,
      0.0830393512980726,
      0.0705580914182738,
      0.0603047305466595,
      0.0531163797951201,
      0.0405537170943609,
      0.0352505354105398,
      0.0492796292314971,
      0.0770563807376317,
      0.0980448601296775,
      0.113043524973035,
      0.138401196691485,
      0.15659355640527,
      0.140244522006655,
      0.105439045268498,
      0.0792563374426276,
      0.0710367181733545,
      0.0722891443462854,
      0.0773086460904208,
      0.0934094864313011,
      0.118564872290359,
      0.136227260047032,
      0.133033677798101,
      0.117617409611295,
      0.112500130653902,
      0.116972253499369,
      0.129811266863256,
      0.129934712920455,
      0.122215293546247,
      0.125616589887856,
      0.128518930437337,
      0.108383842034953,
      0.0901838203717663,
      0.0898938970947344,
      0.0949771301978873,
      0.082047533286695,
      0.0761070646095691,
      0.0786071811089161,
      0.0706919807731532,
      0.0530997699535365,
      0.0436755170163851,
      0.042465711185488,
      0.0468864626847863,
      0.0483374127023615,
      0.0460480922188502,
      0.0433480527324469,
      0.0422699865678883,
      0.0411555906070643,
      0.0467909774809279,
      0.0667031837680262,
      0.0942879890203419,
      0.101418174205299,
      0.0970169191481223,
      0.101718639175623,
      0.111306020600038,
      0.112831819245626,
      0.106331389468297,
      0.0962532655348752,
      0.0868972177988944,
      0.0918371448847312,
      0.122651451481277,
      0.145037892722978,
      0.135839627739963,
      0.118418755375046,
      0.10153524700424,
      0.0892862194704732,
      0.092341975239359,
      0.105326327490641,
      0.0990617400093461,
      0.0805010389267165,
      0.0798034677583159,
      0.111055547057171,
      0.135668302705386,
      0.120629530137078,
      0.116107505066199,
      0.157884506293077,
      0.214627835544684,
      0.205859500303167,
      0.165679923292415,
      0.150475881869128,
      0.154255287859791,
      0.162664420572791,
      0.159740565417437,
      0.148149255724307,
      0.14963345925832,
      0.164314384587924,
      0.18334102902958,
      0.197449468777473,
      0.180680354356972,
      0.140015161986938,
      0.112953119018848,
      0.107948549832678,
      0.116284328389466,
      0.124496311208091,
      0.126723865941135,
      0.130711357419861,
      0.137746910628064,
      0.138157826900478,
      0.127694890550957,
      0.115514602954331,
      0.106696781799461,
      0.0976138116772135,
      0.098782598106427,
      0.120159059808672,
      0.13211138322156,
      0.119889470562576,
      0.111830791156279,
      0.11895589997147,
      0.12046558676979,
      0.107485677774465,
      0.0994349899405751,
      0.100689191243752,
      0.109517524155585,
      0.135584291355836,
      0.146717882377101,
      0.123607129855306,
      0.111073707858255,
      0.119693948624757,
      0.131034289598803,
      0.147888714713529,
      0.155668421753256,
      0.127548369274509,
      0.0966461549072125,
      0.104418819087527,
      0.15225091492858,
      0.187864204934132,
      0.163620964499121,
      0.155053209399513,
      0.175338654546538,
      0.172600399559847,
      0.144322510142912,
      0.124057763187299,
      0.119928933610819,
      0.136139657913692,
      0.155478305239441,
      0.14962515684381,
      0.13161174085506,
      0.12743586897461,
      0.136689924286521,
      0.142903645022058,
      0.132140724908673,
      0.1138087898566,
      0.106912312164453,
      0.113020134741064,
      0.127103110267203,
      0.141055699372474,
      0.146997579936896,
      0.150993926832195,
      0.162271784218008,
      0.168701219951965,
      0.162720654669623,
      0.139636759280172,
      0.11384456049643,
      0.101393437319509,
      0.118886460420501,
      0.14739110293973,
      0.148147025444243,
      0.127741053151397,
      0.114017358724376,
      0.105766427345174,
      0.0984741965581104,
      0.0931080118463158,
      0.0824747277562137,
      0.0681566678009558,
      0.0545351043569816,
      0.0417437423767443,
      0.000139459434233914,
      0.0141356674279597,
      0.0405049099781186,
      0.0595822250166797,
      0.0630730404368836,
      0.0591857803112985,
      0.0520554579357178,
      0.0593399487686059,
      0.0795121178075443,
      0.089226321117792,
      0.0832401467792015,
      0.084739608672698,
      0.0926620551570311,
      0.0840812996732582,
      0.0616806939587204,
      0.05274458267956,
      0.0550126907270141,
      0.0583189937792739,
      0.0691015667970997,
      0.0760355815927689,
      0.0833214450681389,
      0.101810581566895,
      0.108703344723575,
      0.107271677388276,
      0.135872157055358,
      0.182316210923772,
      0.15657808813742,
      0.112791145158842,
      0.0942022340704713,
      0.0794174648398344,
      0.0689781202139406,
      0.0651836517850531,
      0.0623179653916182,
      0.0652324445186126,
      0.073743990577988,
      0.0759658667283942,
      0.0686232838662908,
      0.0707865240774027,
      0.0694698702827268,
      0.0529673476522913,
      0.0422940649223796,
      0.0512409157656415,
      0.0708709417261551,
      0.0888641644916541,
      0.107340291546002,
      0.127169754670763,
      0.140705360052627,
      0.124836266598286,
      0.091504805127546,
      0.0703069534420599,
      0.068213334465399,
      0.0714579235082066,
      0.0752149990980421,
      0.090558267054798,
      0.117746435921432,
      0.138382547919062,
      0.135520090532498,
      0.11682707606169,
      0.106557471565811,
      0.102388688554428,
      0.108438725278541,
      0.116651510100525,
      0.11598895493955,
      0.115820813262886,
      0.116478116374324,
      0.100944903124444,
      0.0828934751814486,
      0.0773823055951934,
      0.0752836509122034,
      0.0648356693112132,
      0.0687064958680647,
      0.0835258197545567,
      0.0809222371050914,
      0.0604598769877085,
      0.0499361613311854,
      0.0534306858491431,
      0.0619157076930931,
      0.0627769193495919,
      0.0589960067977597,
      0.053264000983042,
      0.0495139081118491,
      0.0476562457902851,
      0.0527087768315612,
      0.070354241001399,
      0.0956800433329088,
      0.0992693800185883,
      0.0899514939702848,
      0.0986391654425167,
      0.125423971813325,
      0.133773239093553,
      0.11816430499184,
      0.105528600240421,
      0.0968814460913296,
      0.0925539930795702,
      0.106800654287008,
      0.128518608914264,
      0.135607265358259,
      0.123415669040636,
      0.10756824593991,
      0.0972286566215502,
      0.0927329701066505,
      0.0927092524629278,
      0.0838763690765398,
      0.0684262363702488,
      0.0778131265334824,
      0.122830142574444,
      0.145148115742089,
      0.114130702126986,
      0.105682282886244,
      0.138133196309982,
      0.183989554013317,
      0.182775470144692,
      0.153451644979056,
      0.140854121161789,
      0.144255830687218,
      0.153791580605102,
      0.155602829396583,
      0.147717756244252,
      0.151753586359534,
      0.163036847858899,
      0.169448761735997,
      0.174169548437656,
      0.16506692638118,
      0.139928241735376,
      0.119538610812247,
      0.113090949215761,
      0.118853574586144,
      0.126131643944762,
      0.129432746982451,
      0.132129155599844,
      0.128468146966616,
      0.118945242196977,
      0.110587189321726,
      0.104526164022571,
      0.10038848523919,
      0.0975779642416665,
      0.101887967558444,
      0.122369004803895,
      0.135241258547962,
      0.121423534805622,
      0.110275730572409,
      0.115870701474704,
      0.116384845883858,
      0.103832651820643,
      0.0935349902606032,
      0.0929594558401835,
      0.103563822875526,
      0.130649835926036,
      0.1408453992278,
      0.118119826602515,
      0.106884746858455,
      0.113606108001237,
      0.119652293814818,
      0.13853215177805,
      0.148289407857916,
      0.118987505295748,
      0.0895415863692156,
      0.0970222786327008,
      0.14420488718286,
      0.18439518243657,
      0.161474165515327,
      0.146147413094575,
      0.16586576858375,
      0.167496296854786,
      0.141447982098576,
      0.120813062367159,
      0.115141433431966,
      0.128654041323004,
      0.147863091310298,
      0.146436854041881,
      0.131856139474105,
      0.127722184019973,
      0.137138433918667,
      0.144807523562533,
      0.132406325726904,
      0.110853584900041,
      0.100961992404601,
      0.106665893972829,
      0.124837344739388,
      0.146595563921193,
      0.157508761982423,
      0.155422561634473,
      0.156030942455432,
      0.159858965396838,
      0.153743743021398,
      0.135323327745054,
      0.112461018627978,
      0.0932815795322606,
      0.0954139186421096,
      0.114564684647028,
      0.131676315947125,
      0.130529481158629,
      0.118149433417993,
      0.105791498109604,
      0.10107318799191,
      0.0980257652399876,
      0.0859463334350075,
      0.0715216729267205,
      0.056263760862893,
      0.0387424795661248,
      0.0000721893706092305,
      0.0119751003284822,
      0.0371270839687785,
      0.0545804511728274,
      0.0571661917128268,
      0.0578547139796515,
      0.0573072834258643,
      0.073459058282495,
      0.101592078722982,
      0.104458587492079,
      0.0866997434744445,
      0.0805115876297008,
      0.0796252278558392,
      0.0752501783465396,
      0.0672183952324143,
      0.0633384901022402,
      0.0632556192956503,
      0.0634240373745519,
      0.073721409896073,
      0.0950563365339831,
      0.112989627715321,
      0.113281596420808,
      0.0922501217534254,
      0.0832176967827802,
      0.121738534174233,
      0.191516461457221,
      0.182945462804464,
      0.115317867476084,
      0.0815398863760847,
      0.0687326949848589,
      0.0627724721528073,
      0.0647952016641359,
      0.0680537089343606,
      0.0743994471577588,
      0.0828615163680442,
      0.0810802087378173,
      0.0789590257124807,
      0.0845850837612118,
      0.079159959713809,
      0.0641188390322382,
      0.0571489564375827,
      0.0624553140243182,
      0.0785518582437046,
      0.104526194236762,
      0.126045724402157,
      0.135675770148621,
      0.139691995256714,
      0.119146235792126,
      0.0875465701359777,
      0.0755860167214793,
      0.0778558517805016,
      0.0802052481956571,
      0.0817770851786902,
      0.0968245325903793,
      0.122228510980376,
      0.140056258809425,
      0.144800317188316,
      0.131912748581466,
      0.11079818875321,
      0.100460348573745,
      0.109455548856578,
      0.116426901631251,
      0.112313508118342,
      0.11078230781731,
      0.117206911637408,
      0.112382233570599,
      0.0955773618865579,
      0.084650142325305,
      0.0761030847513751,
      0.0651503656328357,
      0.0711886723849403,
      0.0908760979202727,
      0.0906319401832098,
      0.0710519199772147,
      0.0642331302680408,
      0.0805773522839482,
      0.0958355477115736,
      0.0884770349313552,
      0.0792471353961834,
      0.0779202353033692,
      0.0793875359275568,
      0.0771176883754508,
      0.0729018282005126,
      0.077766700597397,
      0.0946625733300758,
      0.101472271305997,
      0.0955060313816395,
      0.0997649056854221,
      0.125919590242888,
      0.139757853671235,
      0.127034876893011,
      0.11973409059938,
      0.116145594211166,
      0.110463397953702,
      0.118823106766684,
      0.133069981713019,
      0.136446980681888,
      0.124742885325302,
      0.112587669409371,
      0.106406952028664,
      0.100689297093965,
      0.0919600465520614,
      0.0774857298323994,
      0.066727566195216,
      0.0832061151703422,
      0.13696191496194,
      0.166798763699331,
      0.126749592797624,
      0.103625489164854,
      0.122745492724243,
      0.157735825061372,
      0.160994863426735,
      0.146713571145304,
      0.143686109974571,
      0.146404856477794,
      0.150812563554012,
      0.148267976476427,
      0.135958239171242,
      0.139495731706655,
      0.151591109373584,
      0.155569951743123,
      0.156652512195739,
      0.148608781629367,
      0.133794648523721,
      0.121706525642679,
      0.116626220338547,
      0.118407197025017,
      0.125751589663651,
      0.138757018048409,
      0.147778638442188,
      0.131917572647253,
      0.10961771159254,
      0.103549388971588,
      0.105984292646831,
      0.108592858561754,
      0.112324297278854,
      0.121713591677595,
      0.143273696900359,
      0.159541364143202,
      0.148140919462696,
      0.133008105455245,
      0.130192484457168,
      0.125703341513193,
      0.111226729771889,
      0.0966638706480339,
      0.0928494083846412,
      0.106820442856421,
      0.134145339771783,
      0.139017411887132,
      0.112843413979648,
      0.100687968180324,
      0.108579110207897,
      0.11759244104723,
      0.142486447329311,
      0.155698088369134,
      0.12038332700703,
      0.0874382224268179,
      0.100068347723089,
      0.151213256131253,
      0.190410764645761,
      0.166979722035249,
      0.151982676189811,
      0.171977771677196,
      0.174752338812507,
      0.147549423704804,
      0.124337118385416,
      0.116737528113615,
      0.129528695342605,
      0.151524739359545,
      0.152555518322516,
      0.139366853155753,
      0.142211055886619,
      0.153835559245731,
      0.153373063075765,
      0.137205377501507,
      0.11729467035503,
      0.1056025938098,
      0.114398300657119,
      0.143578339051394,
      0.168408520639852,
      0.171827175552216,
      0.163616919413239,
      0.16284880407789,
      0.168761552355168,
      0.156641517247605,
      0.132187284988447,
      0.109696250889525,
      0.0906170343053277,
      0.0867574397237388,
      0.102507729757145,
      0.131732156444379,
      0.147554381893169,
      0.135978319049349,
      0.118006390003754,
      0.115455781063011,
      0.115944526451267,
      0.106375486326264,
      0.0951046365058604,
      0.0747720945525827,
      0.0462964227958216,
      0.0000655594943790494,
      0.0114837270942952,
      0.0382873779529743,
      0.0573591783014608,
      0.0578517311127762,
      0.0571325770486076,
      0.0591988940977606,
      0.0805594335787946,
      0.107946400220687,
      0.106401587450025,
      0.0971448314178186,
      0.0933317944490737,
      0.0788355283657481,
      0.0739141323416237,
      0.0852414772690329,
      0.0862621638135287,
      0.0787730967028291,
      0.0782981765693879,
      0.094297690132916,
      0.136920955389542,
      0.156168423127875,
      0.121868413632001,
      0.0751431264799444,
      0.0663936499147175,
      0.0986817385229218,
      0.159423066825716,
      0.18700293718501,
      0.134143561431174,
      0.0781662180169978,
      0.0561239013257862,
      0.0504979869840064,
      0.0555149860497977,
      0.0647048624987285,
      0.0768277117174388,
      0.093198321605607,
      0.0996398745957801,
      0.0994440724956055,
      0.102144002480748,
      0.0901129250458064,
      0.076426178003899,
      0.0737228834886272,
      0.0785191436671588,
      0.0910443243274035,
      0.118999972314325,
      0.145535099616225,
      0.154062222804189,
      0.146416818333716,
      0.121269287672852,
      0.0954839157581456,
      0.097282010730772,
      0.101940763083206,
      0.0965873085670639,
      0.0997198112225173,
      0.122050154551017,
      0.142412606879714,
      0.14996117741979,
      0.159195439197985,
      0.150762234900024,
      0.122584480682737,
      0.109593054518302,
      0.121353006696473,
      0.122035306770186,
      0.113258863909225,
      0.117313561079032,
      0.137112067016873,
      0.13718413459553,
      0.109557362133135,
      0.0847449949260963,
      0.0691766137800181,
      0.0590365824664281,
      0.0716932423943436,
      0.101985565541746,
      0.106327597238187,
      0.083350197084896,
      0.0734722852563909,
      0.0953638064110695,
      0.114430795601098,
      0.104033711284669,
      0.0928470901563122,
      0.0984411678925088,
      0.107612994130415,
      0.102954450719407,
      0.0900572181315454,
      0.0912289678120295,
      0.107608403169436,
      0.11461336775949,
      0.104753647189637,
      0.103045604357034,
      0.121904030974625,
      0.144424863091383,
      0.143600647621448,
      0.130710412463369,
      0.118052431611757,
      0.11485913331663,
      0.132635421778603,
      0.150261174953985,
      0.142186301173661,
      0.120641506848954,
      0.106992993796888,
      0.109443046298793,
      0.118327121232647,
      0.119289307633299,
      0.0954796596413317,
      0.0770216460002823,
      0.0938079804307674,
      0.147642839183276,
      0.173791835954749,
      0.130190101890646,
      0.102375464268071,
      0.118465317209119,
      0.15173939772002,
      0.156939936035459,
      0.149976120045967,
      0.153109140371326,
      0.158033494730186,
      0.163246551785107,
      0.158030568967114,
      0.139801551476653,
      0.135299502026422,
      0.143864014796829,
      0.145590961412812,
      0.144216239268746,
      0.150648490620384,
      0.146969716873689,
      0.131387806872393,
      0.126546323504126,
      0.132863308859279,
      0.144174219901661,
      0.157854830665745,
      0.159952550048222,
      0.135466681531435,
      0.10706950731505,
      0.100224171894057,
      0.10915113266253,
      0.118834915084209,
      0.127831494961773,
      0.141178552081244,
      0.162727750795046,
      0.187153561798565,
      0.185733980135784,
      0.16580992993415,
      0.15172461379237,
      0.144254571623748,
      0.128049578979855,
      0.109229999551737,
      0.105281783129741,
      0.123122907397916,
      0.147231956423967,
      0.149384653555434,
      0.118764066068036,
      0.102042597374606,
      0.115022705880502,
      0.129031980406924,
      0.144819483191734,
      0.154006736258051,
      0.12028501832931,
      0.0913803721455521,
      0.117307671171034,
      0.177192610339096,
      0.205081105777751,
      0.171960545223308,
      0.163078316142293,
      0.182294082854947,
      0.177104202167545,
      0.148452919090725,
      0.128569622260162,
      0.121267219150375,
      0.134854963292789,
      0.162958236580475,
      0.169358203184545,
      0.154959354372133,
      0.157748194990582,
      0.16959359734866,
      0.163412945695449,
      0.149244059804492,
      0.133208244373465,
      0.116652056726742,
      0.122257283964548,
      0.157394929158794,
      0.184220845932069,
      0.180815575797298,
      0.171413990865954,
      0.173291387216474,
      0.17453819076031,
      0.158544403499338,
      0.130812495006639,
      0.10617916161999,
      0.0912096567192566,
      0.0943732791440778,
      0.116776176880911,
      0.150203712199688,
      0.169341645230367,
      0.163178940331987,
      0.152499169784106,
      0.151132802170009,
      0.140288004529325,
      0.13049870067991,
      0.130825595532252,
      0.112393144838268,
      0.0706680136794227,
      0.0000501949683329712,
      0.0112373922628537,
      0.037909706878622,
      0.0583180053449622,
      0.0580349438990798,
      0.0565843298758412,
      0.0660234532550917,
      0.0871960500080622,
      0.0977623390796275,
      0.0926053070533758,
      0.106065430711949,
      0.110571365741496,
      0.0890433075084323,
      0.0881075272331518,
      0.113392929147856,
      0.108729739809554,
      0.0888628540333917,
      0.0955734825640093,
      0.119189799028139,
      0.145406970178701,
      0.135807643187824,
      0.0891839257034796,
      0.0519269339229514,
      0.0537881949329494,
      0.0828182429333554,
      0.125830654144148,
      0.15539523489207,
      0.124225843753196,
      0.0733073346905343,
      0.0486683588167861,
      0.0417511801022899,
      0.0436556133810957,
      0.0553065142184446,
      0.0806460059279836,
      0.112509588136492,
      0.12326908350883,
      0.108048157396689,
      0.095586898902762,
      0.0798139346687197,
      0.0666717109160135,
      0.0685237721339566,
      0.0832528075732044,
      0.104113307643333,
      0.128843375679502,
      0.149172925726161,
      0.159195731272392,
      0.158803132250631,
      0.135356264183472,
      0.113230613524286,
      0.120874047531858,
      0.123128910523783,
      0.11311714209186,
      0.123823503570908,
      0.151493281925087,
      0.156143923241164,
      0.15108199452225,
      0.165780334530228,
      0.160255721977026,
      0.130028007317577,
      0.122368265485409,
      0.138045388093179,
      0.132933040625828,
      0.119771253362318,
      0.127864323966007,
      0.1524464023586,
      0.144875230894184,
      0.110836937663007,
      0.0942624672889343,
      0.0910708780256867,
      0.074540472623868,
      0.074702891131959,
      0.0956532946849933,
      0.0957361303343261,
      0.0722235585196575,
      0.0674262448854528,
      0.0959766337978698,
      0.122196656704562,
      0.115673688808095,
      0.102785383408893,
      0.103859318354173,
      0.102295834692343,
      0.0859555500070692,
      0.0765255175367537,
      0.0954727456242018,
      0.128562451481503,
      0.136604310776301,
      0.114158452915112,
      0.109499354555265,
      0.134899546930695,
      0.164102714777078,
      0.1581361150537,
      0.130395499430572,
      0.110632473276447,
      0.109789957772782,
      0.127176735573135,
      0.144873597001518,
      0.137716986910746,
      0.116406144113517,
      0.104375192200494,
      0.114376032162785,
      0.134528607028339,
      0.143023727813087,
      0.11497397459864,
      0.0849823627730798,
      0.0945139762214543,
      0.13882246626804,
      0.146445778527989,
      0.109227629193492,
      0.105377216935861,
      0.135327379779714,
      0.165676051884213,
      0.158935478439235,
      0.151065361665094,
      0.161300948275102,
      0.168741524626443,
      0.165033942456593,
      0.156060881169865,
      0.147270162305985,
      0.141909736131942,
      0.141194954290999,
      0.141087413171362,
      0.142588017913539,
      0.156043932975892,
      0.152664595804549,
      0.133804319055013,
      0.134215858423095,
      0.147857465920356,
      0.1586340524262,
      0.163683736114657,
      0.162532247224965,
      0.143481931088551,
      0.115256316196326,
      0.107806295441314,
      0.118695731003836,
      0.126837834760957,
      0.135032606791344,
      0.155697855078592,
      0.179335506536173,
      0.197930599135407,
      0.193939297908576,
      0.174369044371229,
      0.164185323380595,
      0.16148585089971,
      0.14210648881134,
      0.117657027798487,
      0.112319144699111,
      0.127247940308154,
      0.145066360909043,
      0.145616458058977,
      0.116027180674654,
      0.104336703279591,
      0.130810950151374,
      0.15284946487221,
      0.154909573933964,
      0.150127578132365,
      0.1196975965757,
      0.0967727117428517,
      0.124627024580674,
      0.181686461272538,
      0.198471296930811,
      0.162714628611164,
      0.167697956128467,
      0.19285688319846,
      0.182761296926878,
      0.154428093511579,
      0.136967733021753,
      0.130543275954816,
      0.146849730251059,
      0.178885472732394,
      0.186250693352952,
      0.166793246015528,
      0.164806013748413,
      0.182847614089433,
      0.188443502202683,
      0.178398982815176,
      0.157518028331756,
      0.135479566200809,
      0.136833986146994,
      0.165655936903091,
      0.182096855495913,
      0.170906190138389,
      0.167926198924615,
      0.180905354708148,
      0.18135404202072,
      0.164621065614534,
      0.136457411939759,
      0.108640501670578,
      0.0965460901633929,
      0.110434952942038,
      0.143188698900364,
      0.167254928678277,
      0.16609837253701,
      0.16730589068813,
      0.18140879951225,
      0.183073053766994,
      0.153142792585289,
      0.130473976827539,
      0.139649336095427,
      0.140766756890219,
      0.10152395164626,
      0.0000142790897854943,
      0.00974503996635659,
      0.0362679935708667,
      0.0653517745381343,
      0.0693310571411429,
      0.0628620865914145,
      0.0810534015742381,
      0.118063443280903,
      0.117710628472305,
      0.0915615570218561,
      0.105480669609726,
      0.112699809087303,
      0.0932062805721981,
      0.0929994286788392,
      0.113297713688942,
      0.102516661663722,
      0.0830139179544278,
      0.101510898022124,
      0.121813598186599,
      0.107649585259105,
      0.0784482269224213,
      0.051609650873276,
      0.0406742046047803,
      0.0510098682828021,
      0.0737382835299155,
      0.0980326204507665,
      0.108749739761529,
      0.0926699460996671,
      0.0671407098930762,
      0.0480165415409094,
      0.0379854586318781,
      0.037112854541102,
      0.0447519769718213,
      0.0656759876179791,
      0.0983300105656525,
      0.114341760520604,
      0.09736563940138,
      0.0758246045400248,
      0.0565122226384622,
      0.047146628721888,
      0.0524432704195794,
      0.0709553474757567,
      0.103752883152406,
      0.134268368570913,
      0.139821949733326,
      0.156644120631009,
      0.182936938088045,
      0.16656232199143,
      0.134588168713869,
      0.126955336880023,
      0.1229629081031,
      0.113518477405247,
      0.126708500652095,
      0.158144372151648,
      0.156978833188933,
      0.143431184758553,
      0.150870352930732,
      0.143391256088706,
      0.122900258954797,
      0.128501470386253,
      0.152952184823943,
      0.1481115900409,
      0.128160440781265,
      0.13649474649609,
      0.157085171166822,
      0.139885047557056,
      0.111691100249358,
      0.114434840852295,
      0.12547514021839,
      0.100343275557353,
      0.076020336848807,
      0.0775583684071604,
      0.0729159620911009,
      0.0557043257483216,
      0.0566802454230652,
      0.0824176226910677,
      0.116602119224005,
      0.127287660248416,
      0.111877933636684,
      0.103831001116139,
      0.0918961759536505,
      0.0694904579263674,
      0.0646660211046296,
      0.0875635762635252,
      0.123034887789042,
      0.136592344473789,
      0.114092305752192,
      0.101253641389077,
      0.121200424449262,
      0.14411839558567,
      0.134848680515861,
      0.111905098927718,
      0.10212977809201,
      0.107923616246611,
      0.121324893449896,
      0.128334837839494,
      0.116835555322911,
      0.0988775208327685,
      0.0899726472076728,
      0.0997890820898076,
      0.117772969867053,
      0.128043450842837,
      0.108732315449447,
      0.0827375867284598,
      0.081587398692981,
      0.108408733955087,
      0.11427905753576,
      0.096245334651363,
      0.109160213538584,
      0.157049824946303,
      0.192165161242381,
      0.167820253512692,
      0.145216126557014,
      0.153306130228001,
      0.161105340526379,
      0.151012607189861,
      0.147283914891265,
      0.155819247881337,
      0.153157162176724,
      0.142329248929727,
      0.139995992914798,
      0.145229872391556,
      0.147980312448254,
      0.133779024945419,
      0.117022790796854,
      0.11779218996349,
      0.127064013017658,
      0.134242680383165,
      0.141844974442664,
      0.153707295124643,
      0.148030019321171,
      0.124955603951093,
      0.11585991608994,
      0.127473415513194,
      0.135961150560128,
      0.134886015285389,
      0.152110294933111,
      0.174877899849482,
      0.170956975393764,
      0.155426606760763,
      0.147680211281271,
      0.148975447088951,
      0.148569127921609,
      0.128463033883966,
      0.112434191823127,
      0.11344102317114,
      0.13139218314,
      0.152063632369881,
      0.140118812956508,
      0.107030819654445,
      0.104778235142182,
      0.132171605660788,
      0.158391254448543,
      0.168222916216013,
      0.157989019315661,
      0.121144496453487,
      0.0924344640331684,
      0.108566514761748,
      0.156129885719869,
      0.175989229189484,
      0.153907485414199,
      0.166988590037753,
      0.197277059454942,
      0.191397842051718,
      0.158979109321876,
      0.135600026459556,
      0.133728586142405,
      0.157820739100475,
      0.188209232107597,
      0.179319991489018,
      0.154017567380014,
      0.151259417112728,
      0.165210353743166,
      0.178269288167324,
      0.178509724497247,
      0.15730431979871,
      0.138506655645341,
      0.136967759764777,
      0.151001801645865,
      0.156265166458808,
      0.147092605712419,
      0.153862272991145,
      0.176301213338192,
      0.185311966947191,
      0.175859800714177,
      0.147976098472606,
      0.117251502856519,
      0.106123985121561,
      0.127307917874559,
      0.161686752283257,
      0.16515629926493,
      0.142145142411708,
      0.138945162091996,
      0.152147747248663,
      0.152822425418615,
      0.129913429343735,
      0.106755139978822,
      0.108809024681315,
      0.115185051060936,
      0.0900917396152879,
      0.00000861700462766423,
      0.010780598636557,
      0.0383139364624837,
      0.0761516249612301,
      0.0860553787023792,
      0.0718000865848499,
      0.0772508260688835,
      0.105198859424111,
      0.105026364732801,
      0.0871732835810394,
      0.0995070759389266,
      0.1006485374916,
      0.0895115207165299,
      0.084603944529136,
      0.0826933162130816,
      0.0741988184870171,
      0.0681145753710671,
      0.0818890855008845,
      0.0926848235406207,
      0.0731401160703845,
      0.0513339500041189,
      0.0438929432423061,
      0.0559765419524487,
      0.0798387573616233,
      0.0972396680374986,
      0.101923218021613,
      0.100132438242683,
      0.0857904859505415,
      0.0637058039127513,
      0.0439010773981061,
      0.0326398330153406,
      0.0333505459714191,
      0.0404404136271074,
      0.0563296683632483,
      0.0858662391797394,
      0.101645781067377,
      0.0822288008379625,
      0.062677514374695,
      0.0457536123917025,
      0.0386461587033498,
      0.0416258332511344,
      0.0563194046518632,
      0.0882419534429822,
      0.117595053422,
      0.121718147690152,
      0.139858825263561,
      0.161284202705952,
      0.147356643545275,
      0.119095298665015,
      0.106282506342023,
      0.102878018026867,
      0.0995100851093153,
      0.11114781443645,
      0.140807142627088,
      0.143583778557671,
      0.126932712190855,
      0.124503373457559,
      0.118769462699882,
      0.109285537821609,
      0.116393784050412,
      0.143362643409152,
      0.144913022574388,
      0.124219095942827,
      0.128971751607313,
      0.141327847475834,
      0.122025722100537,
      0.108322552662579,
      0.121026433392987,
      0.125433997618503,
      0.096466814363715,
      0.0658017834730697,
      0.0528286310516193,
      0.048810438661414,
      0.0460140230574156,
      0.0515606784313462,
      0.0695622733605501,
      0.0991842168321009,
      0.115026025556338,
      0.100345864316429,
      0.0820756917688928,
      0.068546347292019,
      0.0585814813426494,
      0.0631336813928534,
      0.0804040794705096,
      0.105772629184949,
      0.111700352541634,
      0.0962144772984662,
      0.0884101952089132,
      0.0956335017857813,
      0.104636967665565,
      0.102188867994557,
      0.0963914216650712,
      0.0975028149624614,
      0.106491285243459,
      0.117041954409161,
      0.11615529163019,
      0.101183587902046,
      0.0855346385380985,
      0.0773708287601387,
      0.0804364557051191,
      0.091747522182436,
      0.104174044393381,
      0.0932185380518413,
      0.0763674317567598,
      0.0793350274749976,
      0.103288604374353,
      0.109562225531493,
      0.0961874059640095,
      0.108090438223591,
      0.159089003506265,
      0.209733300831454,
      0.190635791359554,
      0.152893392275329,
      0.147487419403622,
      0.147795371028728,
      0.137388907208461,
      0.132247853122405,
      0.137185083858549,
      0.147385526864539,
      0.157240728010539,
      0.164458871685491,
      0.16799227102827,
      0.150825276646408,
      0.120516130199612,
      0.105530108897418,
      0.105820026699823,
      0.109311392670508,
      0.110742507115312,
      0.119742148348751,
      0.135807676234457,
      0.141914721885344,
      0.136714359978539,
      0.12715179553781,
      0.128817546578162,
      0.134944150900358,
      0.125361786914646,
      0.129248972675056,
      0.15432893938524,
      0.151645901818612,
      0.131635844886427,
      0.124119471506253,
      0.128246024745918,
      0.125304025491317,
      0.109076912751128,
      0.106187790195062,
      0.108179436151904,
      0.119595455379917,
      0.149121625490697,
      0.143364885352011,
      0.10433297537141,
      0.0961410104398403,
      0.116612438806051,
      0.15035451193114,
      0.17916159120968,
      0.178227186507269,
      0.136982672751229,
      0.0944802764967976,
      0.0926035375563186,
      0.130551883567877,
      0.157108884907308,
      0.1427394254817,
      0.151875774536961,
      0.177616803476585,
      0.170567369709255,
      0.138564485983835,
      0.118904634677996,
      0.122687266920625,
      0.14989015888844,
      0.180466566745674,
      0.16802621760421,
      0.139090407883693,
      0.132697588088489,
      0.136001246940629,
      0.137715610216278,
      0.136494944759804,
      0.124484523741682,
      0.115737026297718,
      0.115069503695266,
      0.123260833505799,
      0.133302340558517,
      0.136023242719734,
      0.145116218149831,
      0.162274994530045,
      0.172660928761039,
      0.1647218436321,
      0.136311900173286,
      0.109950705510106,
      0.103666023363315,
      0.128917537893398,
      0.162618442520308,
      0.155489112530667,
      0.123964557147438,
      0.111603077638523,
      0.111877005499032,
      0.109145737914404,
      0.0997876895413552,
      0.0857616364068551,
      0.0774878079456969,
      0.0723943309117478,
      0.0556437255527647,
      0.00000340095610880041,
      0.0111316399763291,
      0.0397038869192128,
      0.0825979729650174,
      0.0997977947414276,
      0.0795825824340334,
      0.0602367062457988,
      0.0691107156575161,
      0.0795165424006494,
      0.0776056396788421,
      0.0815521857165671,
      0.086251054519544,
      0.0883285621982703,
      0.0785423274608532,
      0.0676349995819921,
      0.062431805285422,
      0.0554849885547548,
      0.0514037968571802,
      0.053560507016833,
      0.0500672724042788,
      0.0486020245611901,
      0.0601581637401398,
      0.0894246268099047,
      0.122403090461293,
      0.140769323752615,
      0.133398176895044,
      0.108804869106646,
      0.0885827452022637,
      0.0703205889825119,
      0.0567230450815545,
      0.0493008395935265,
      0.044349151997304,
      0.0422995709701795,
      0.0517837349121612,
      0.076780212066797,
      0.0914490854832401,
      0.0785766425848628,
      0.0657926923390814,
      0.0499979621414544,
      0.0382431726847757,
      0.0378457573354205,
      0.0514627578264245,
      0.0775804444777344,
      0.0981319564216243,
      0.107509446587667,
      0.122629057011815,
      0.13163285959218,
      0.119319657178604,
      0.0946711190945875,
      0.0774722277876775,
      0.0766015073654849,
      0.0806431445640604,
      0.0902171782674942,
      0.114483418263607,
      0.126510373303328,
      0.116318707953035,
      0.107644677464262,
      0.0996659343733058,
      0.0962719884663752,
      0.103352640903785,
      0.122717603835171,
      0.124574207229452,
      0.110599201623363,
      0.114158412346945,
      0.125762457225091,
      0.113691218862349,
      0.107016970045798,
      0.121748471213221,
      0.119610437062113,
      0.0882202401436242,
      0.0598214196739819,
      0.053403469710644,
      0.0581569757958694,
      0.0538321280357029,
      0.0453878276665024,
      0.0459352806047935,
      0.057257856377677,
      0.0699245599408072,
      0.0657449171287595,
      0.05258208412846,
      0.0450682832708072,
      0.0442179730742964,
      0.0514887286622021,
      0.0681634117572373,
      0.101853890359915,
      0.115727184389602,
      0.0945957434819018,
      0.080839372552369,
      0.0805463517712104,
      0.0863900803112558,
      0.0949711242441541,
      0.0957319145939794,
      0.0928002207401517,
      0.0971438366965375,
      0.103659311498226,
      0.106494570654786,
      0.0995560940018729,
      0.0870106227797091,
      0.0808396416335019,
      0.0809275437677161,
      0.0795511084703734,
      0.0825429226922046,
      0.0823431159687161,
      0.0769357810453886,
      0.0843671904972504,
      0.112165910357334,
      0.118842197080849,
      0.097636369090415,
      0.0996182973043255,
      0.140525121845176,
      0.190844643429237,
      0.182619109507115,
      0.149839981849613,
      0.139457811606465,
      0.140264640736855,
      0.13386843578277,
      0.121001613061663,
      0.117713503818728,
      0.133219731988018,
      0.157110407051529,
      0.174779581547378,
      0.176886170807489,
      0.155108443938514,
      0.121523014572431,
      0.0998388442774499,
      0.092107519696791,
      0.0939437434314036,
      0.0978558743730115,
      0.105663409399951,
      0.118528238253662,
      0.127659738895853,
      0.132248530219717,
      0.129001906118545,
      0.123999995488454,
      0.120391189846475,
      0.106261448573705,
      0.101766648556772,
      0.125862656653534,
      0.137587873814041,
      0.121304412485093,
      0.106727010435475,
      0.107718861565954,
      0.106391116435001,
      0.097039558858744,
      0.0978688897123695,
      0.0987126823693004,
      0.109653395222126,
      0.144599655414516,
      0.139892178474067,
      0.0977202601068719,
      0.0857287775118957,
      0.099927009442413,
      0.122787998534881,
      0.148571164080148,
      0.1629274750435,
      0.134389410522182,
      0.0928701624536612,
      0.0864435458531901,
      0.122984095092023,
      0.152482604067545,
      0.136434843172059,
      0.13791317638623,
      0.160781092027615,
      0.156628974428367,
      0.127157705688654,
      0.107489836543044,
      0.107183262318179,
      0.131060585621119,
      0.165451247478455,
      0.163668210135879,
      0.133586868127383,
      0.11982965800217,
      0.119426179807535,
      0.118141405167874,
      0.109949607926513,
      0.10154913996941,
      0.0998743956898541,
      0.101619564218833,
      0.110159762314725,
      0.124175820273912,
      0.131688176600705,
      0.13849607216922,
      0.147815235594994,
      0.153555724011058,
      0.14368598703007,
      0.116190913789602,
      0.0953289437634844,
      0.0915317154513106,
      0.112357511646468,
      0.141351059146473,
      0.138263648207812,
      0.113591708938483,
      0.0981596545259359,
      0.0908587487513095,
      0.0878004115660748,
      0.085146354065066,
      0.0755695095409811,
      0.0634043840034421,
      0.0505442136727826,
      0.0347986992788309,
      4.36952054859824e-7,
      0.00989312750644262,
      0.0354175536741254,
      0.0671548561070029,
      0.0815479795529062,
      0.0686794615630192,
      0.0487511490278309,
      0.0552346329161186,
      0.0745283447315618,
      0.0795258522110741,
      0.0749113498562643,
      0.0771231663075009,
      0.0803313426025831,
      0.0700660503297301,
      0.0617996674443751,
      0.0594066071707009,
      0.0517660443166302,
      0.0419585850530558,
      0.0423070579946448,
      0.0481465578187801,
      0.0599273156629223,
      0.0820819212495365,
      0.10145012747919,
      0.117266635503041,
      0.149614788580335,
      0.17404834040974,
      0.134261661937125,
      0.0913714187152287,
      0.0873800537144442,
      0.103105162280632,
      0.112614590165034,
      0.097773838963741,
      0.0707614429834901,
      0.055734083309951,
      0.0633929945252977,
      0.0749029429819889,
      0.0757641139275684,
      0.0705736057747991,
      0.0573996976361671,
      0.0402923373445399,
      0.0355564013500078,
      0.049386723302505,
      0.0732364337737727,
      0.0895386294281721,
      0.0993109222878176,
      0.111563907886039,
      0.119628587020031,
      0.106473249704727,
      0.0808645337195924,
      0.0644901526041051,
      0.0643380493020567,
      0.0677046524796874,
      0.0709940576922733,
      0.0864514429921547,
      0.104851826786952,
      0.109248953440881,
      0.104996907685527,
      0.0957839988385329,
      0.0917022510690144,
      0.0973853148493489,
      0.113027390499059,
      0.113690986151259,
      0.102653974390882,
      0.103918822093262,
      0.113273498011291,
      0.105853732194033,
      0.0982815775059802,
      0.101051354712895,
      0.0942174987348677,
      0.0742945623979383,
      0.0609496092248201,
      0.0662259141030829,
      0.0741506382264998,
      0.0608274363531194,
      0.042057671135511,
      0.0378966839757957,
      0.0445860991437683,
      0.0494792443068417,
      0.0460920306836455,
      0.0404683205131056,
      0.0372083891917571,
      0.0367027717677957,
      0.0424064240551917,
      0.0582416452284412,
      0.0884860524542203,
      0.102240261790871,
      0.0843320145312766,
      0.0727857196466593,
      0.0771947967516627,
      0.0885357174302095,
      0.104810090971622,
      0.105727335561001,
      0.0939073481741193,
      0.0914696405992798,
      0.0982090339195234,
      0.107774905614963,
      0.108584353908969,
      0.0991267273032266,
      0.0930468631907227,
      0.0877480703315782,
      0.0778377138932161,
      0.0755445434609946,
      0.0797671687180644,
      0.0775856540142699,
      0.0843539904309957,
      0.113442717143518,
      0.123197225819905,
      0.0960568920128873,
      0.0924339347312431,
      0.129257899308752,
      0.168033248480368,
      0.155981400730435,
      0.135613512673609,
      0.132736133310083,
      0.137734784014442,
      0.132769908317819,
      0.119505212134251,
      0.115470273773071,
      0.123930849466469,
      0.141440220993306,
      0.159347263440898,
      0.160272638757727,
      0.144780452580973,
      0.119075072981668,
      0.0960367413314076,
      0.0868160901434482,
      0.0937353052544273,
      0.105354967416719,
      0.11202044423685,
      0.118084320387394,
      0.120164635757506,
      0.115974005423583,
      0.11069265013808,
      0.106673348555732,
      0.101124856158983,
      0.0900928138711438,
      0.0892663183201698,
      0.111174839962448,
      0.12406564150747,
      0.110136246685203,
      0.096494927741603,
      0.0983215346389133,
      0.0988747758530093,
      0.0903999528845158,
      0.0882722626057536,
      0.0899596456394344,
      0.10291805976922,
      0.129620929062565,
      0.122589867248829,
      0.0938937042556119,
      0.0891480060821987,
      0.0982102078139734,
      0.107983547606642,
      0.127288394597387,
      0.139468589611848,
      0.11353006431819,
      0.0801596567610434,
      0.083724426614929,
      0.129062150877609,
      0.162683305253425,
      0.141702506990225,
      0.133645894005367,
      0.148381123820338,
      0.148685937834357,
      0.126690241818057,
      0.108753958047076,
      0.10640243916221,
      0.124792038193629,
      0.14980214009169,
      0.150634165432048,
      0.130048342134069,
      0.117969704891381,
      0.115529693963848,
      0.116108403540539,
      0.108005733460361,
      0.0972398561247278,
      0.0943111349156189,
      0.0962864149341043,
      0.107396206367248,
      0.123862958468681,
      0.13180737901655,
      0.135050979935551,
      0.137145986265483,
      0.137707621078879,
      0.127636692625213,
      0.103173423493556,
      0.0853289581778973,
      0.0797760519802257,
      0.0888497916099977,
      0.109081070951213,
      0.121090601228668,
      0.113882479446071,
      0.0973452854298995,
      0.0850275324000067,
      0.0803874651866103,
      0.0799232550301747,
      0.0737401722834797,
      0.0619676512689153,
      0.0455855722441353,
      0.0284868187433793,
      2.07527548740018e-7,
      0.00796477493959438,
      0.0295447894709263,
      0.0474167608760069,
      0.0527089629731839,
      0.052860092854054,
      0.0481937613924317,
      0.0543113115377077,
      0.0744122758358177,
      0.0855195282184294,
      0.081877536901111,
      0.0795479531544637,
      0.0757677645385825,
      0.0663701931655388,
      0.0614383833424065,
      0.0621940948618789,
      0.059961362580032,
      0.0537726007224921,
      0.0562815902694242,
      0.0721767327318111,
      0.0920026190576723,
      0.100058008243071,
      0.088273980250193,
      0.0801245204628877,
      0.115774568406694,
      0.180899035001428,
      0.166343922706281,
      0.122220248428817,
      0.123473147361349,
      0.132185650845717,
      0.125109186548071,
      0.10227918822029,
      0.0770970247266351,
      0.0636827019092801,
      0.0650573005462204,
      0.0695861020967232,
      0.0743861508102949,
      0.0796123674947956,
      0.0806983555721132,
      0.0618809820769528,
      0.0459261286113567,
      0.0500481901422695,
      0.0697688866947778,
      0.0916960659287559,
      0.104366622051158,
      0.113498875959537,
      0.117801263899087,
      0.0995019809620604,
      0.0780945418494546,
      0.0687001353432439,
      0.0679186176062192,
      0.0684653686125089,
      0.0688514161891984,
      0.0781407333858931,
      0.096668378195977,
      0.107032440922261,
      0.102820609185727,
      0.091982988562415,
      0.0866692391069953,
      0.089917769764202,
      0.101825073977222,
      0.10308238498483,
      0.0970530234057568,
      0.0990385523949547,
      0.10622555535408,
      0.103276637820005,
      0.0932318061669482,
      0.0822350108235985,
      0.077458169527655,
      0.0706888270433239,
      0.0744921162517729,
      0.0964770885509105,
      0.11010912587207,
      0.0862366775568649,
      0.0586015032837122,
      0.0559905188810188,
      0.0648797768923156,
      0.0594180801504762,
      0.0520660348639006,
      0.0470727550585758,
      0.0418368141926931,
      0.0387888371075288,
      0.0425432643363293,
      0.0590359653156802,
      0.0834550986972253,
      0.0902184522978678,
      0.0778640387989461,
      0.0747042074159982,
      0.0906204297725245,
      0.104850074857157,
      0.117127059251707,
      0.124413047746442,
      0.11867455901575,
      0.115075240102775,
      0.120743399998852,
      0.124788857184575,
      0.117864778655668,
      0.103625541153255,
      0.0959531098233059,
      0.090225936003914,
      0.082342556092238,
      0.0811118052601306,
      0.0768907969126826,
      0.0682666535759815,
      0.0756119393133796,
      0.113298193562042,
      0.139927994703302,
      0.111233867153658,
      0.0947083507404945,
      0.118218527327594,
      0.145982528877544,
      0.135676350426002,
      0.123428755817316,
      0.127971357304292,
      0.132870710861267,
      0.124384279819562,
      0.111700717287018,
      0.107758457510265,
      0.116192453128033,
      0.130586134139738,
      0.145232492458059,
      0.14443121895543,
      0.12882207879523,
      0.10992342242008,
      0.0966434006598004,
      0.0949398083376691,
      0.101346423353545,
      0.109460092341016,
      0.114187903197306,
      0.114172344242184,
      0.106649860239293,
      0.0959640570245134,
      0.0899089827136404,
      0.0886125045002661,
      0.0878536610149312,
      0.0874902739779979,
      0.0969946822518412,
      0.116918846097159,
      0.124439137802142,
      0.111183377650386,
      0.0991118001036538,
      0.100279160325453,
      0.0986733627322329,
      0.0865476669659853,
      0.0807796347482239,
      0.0858105657053604,
      0.100249185797117,
      0.116595863713617,
      0.111432778024044,
      0.0941551270399066,
      0.0902214299337842,
      0.0974867206803551,
      0.107474913607969,
      0.126068497224402,
      0.132794437671776,
      0.103636276481649,
      0.0745522935346778,
      0.0884014561256771,
      0.14273690517355,
      0.177425984100123,
      0.15034484552784,
      0.136805740943189,
      0.146353584327389,
      0.150924688296127,
      0.133518792510306,
      0.112937894162753,
      0.108205573659398,
      0.1243067170385,
      0.142347043891084,
      0.137247065054552,
      0.120763719843215,
      0.118057750625646,
      0.12118050778345,
      0.121130544785134,
      0.110788607902268,
      0.0977458104910937,
      0.0921486050978183,
      0.0935192300466556,
      0.107744703690669,
      0.128230285598177,
      0.140855349925936,
      0.143169114918271,
      0.139046211097649,
      0.135507453488897,
      0.125359415364866,
      0.102630179582472,
      0.0831984559883331,
      0.0727478633251976,
      0.0782387344125867,
      0.0981484789244056,
      0.116869741834289,
      0.119021163511446,
      0.105992046357468,
      0.0913053654492739,
      0.0845129178037288,
      0.0862891361080508,
      0.0842829337230248,
      0.0734179595295246,
      0.0518023846284886,
      0.0304844782448199,
      3.52401934091027e-8,
      0.00611073018769466,
      0.0274351817358772,
      0.0448773612291238,
      0.0480248590168236,
      0.0543526366101258,
      0.0574348206696722,
      0.0630385373833936,
      0.0818695450585244,
      0.0886476948213881,
      0.0800709219826398,
      0.0755018914888238,
      0.0717961615261427,
      0.076671355154278,
      0.0850369881372976,
      0.0845332888988319,
      0.0850465854983951,
      0.0893381368072164,
      0.0948306254747341,
      0.12379421636414,
      0.146558695657077,
      0.119454312030634,
      0.0752742626642847,
      0.0666246371124849,
      0.0965989034806781,
      0.152003401532756,
      0.180432161737752,
      0.156946983002182,
      0.110670080368122,
      0.0776716835544015,
      0.0684961692226221,
      0.0785061248015177,
      0.0906239626330276,
      0.0957070394414531,
      0.0886297680105563,
      0.0796434378917647,
      0.0977831544804729,
      0.124906021058428,
      0.129823812258869,
      0.101953087882481,
      0.0747287689412826,
      0.0670078595175762,
      0.0775088911181136,
      0.10115538276397,
      0.117827630795726,
      0.127024448195945,
      0.128022548185525,
      0.104844703718777,
      0.0843959345300785,
      0.0854025935419798,
      0.0880247943106282,
      0.0847560163218132,
      0.0876964457414806,
      0.102560657916159,
      0.121347560211312,
      0.130999489973017,
      0.125809782559615,
      0.106281109924966,
      0.0918057312721376,
      0.094217028587913,
      0.106127148307816,
      0.104111844263028,
      0.0956753685476576,
      0.0953506443018614,
      0.110640299706882,
      0.113374405463393,
      0.0938154247897242,
      0.0729837223362786,
      0.0689174418500624,
      0.0752962898118356,
      0.11292556433121,
      0.166570946607127,
      0.180233725749981,
      0.136318124562841,
      0.103267883192778,
      0.10840360017427,
      0.109940596910095,
      0.0827440185546444,
      0.0726203233154957,
      0.0727255931993282,
      0.0691538961225148,
      0.0629532466308797,
      0.0603969491962712,
      0.0738229000212837,
      0.100272157622922,
      0.105224567929141,
      0.0941148462665155,
      0.0930738487844391,
      0.110117013122671,
      0.128444147104625,
      0.138564478370395,
      0.147661552863453,
      0.149962442618357,
      0.154378715963501,
      0.171481871603492,
      0.172934566716998,
      0.147830667382031,
      0.117456680953348,
      0.105102878293051,
      0.103373891371112,
      0.105914494265613,
      0.118437517134268,
      0.101471547874735,
      0.0743059651452844,
      0.0911719889776409,
      0.157109537896786,
      0.191237459321246,
      0.136139956833878,
      0.0980824077662234,
      0.110299719007951,
      0.141519719591478,
      0.14029516168947,
      0.129419884763691,
      0.133103312020651,
      0.137013202759346,
      0.131351718436738,
      0.114903857503077,
      0.102641674061726,
      0.111758911423634,
      0.12617668801072,
      0.135261958889831,
      0.134161058536146,
      0.130660051481952,
      0.118944271131724,
      0.105290143174881,
      0.108549914629149,
      0.118191787199169,
      0.123619499830005,
      0.126689172722367,
      0.119448601416861,
      0.101352794781587,
      0.0871744374052326,
      0.0842672038634097,
      0.0888171719027064,
      0.0929842959441152,
      0.100526912014446,
      0.118159365468229,
      0.13960695255614,
      0.147017574548019,
      0.135504616715163,
      0.117818340706351,
      0.112114404913657,
      0.111969130195259,
      0.106346522534868,
      0.0953847950236746,
      0.0914642959388921,
      0.1044949597836,
      0.11838992703204,
      0.11092965637734,
      0.0908764317873277,
      0.0824045006472738,
      0.093741479840542,
      0.115647632327243,
      0.137976460416399,
      0.140471998494672,
      0.105541499833491,
      0.0767657501340662,
      0.100793428790769,
      0.16647770603154,
      0.199566582269926,
      0.161395561774933,
      0.145915078495436,
      0.156513698328892,
      0.160831939495587,
      0.14452931945745,
      0.117550729990443,
      0.104714972882751,
      0.121267598287772,
      0.143607729447215,
      0.141001335496554,
      0.127082243197392,
      0.128918707152423,
      0.134515224742586,
      0.128547458265341,
      0.119033465543954,
      0.10840506156194,
      0.0973436980637159,
      0.0973053097566461,
      0.120425606244599,
      0.147950604174573,
      0.156550693514628,
      0.14573580224143,
      0.134601072786365,
      0.135811486625014,
      0.128064374659898,
      0.107702605868615,
      0.0894355245527512,
      0.0776389015301699,
      0.0819390565111135,
      0.103596025315151,
      0.134344608607234,
      0.14969545585864,
      0.136171800917028,
      0.114404418607259,
      0.109248520458061,
      0.112632638698095,
      0.112292120303582,
      0.104520566081381,
      0.0785984151930975,
      0.0455112015400068,
      2.59162752543366e-17,
      0.00563714962710564,
      0.0309550552259829,
      0.0535143577374937,
      0.0582287622649386,
      0.0686669331045167,
      0.0797256391730233,
      0.0912364076871391,
      0.102139739174151,
      0.0969465093175453,
      0.0888475614306055,
      0.0832884777540382,
      0.0749784325941518,
      0.103900945463483,
      0.137575065171234,
      0.126561779848204,
      0.12322417460431,
      0.147826330305983,
      0.155620453698818,
      0.159824631357624,
      0.148405186557521,
      0.100125831517848,
      0.0546447240343748,
      0.0539779677781224,
      0.0815721350412254,
      0.122574755292368,
      0.157388300296555,
      0.130695516648401,
      0.0774929082034688,
      0.0493565660797223,
      0.0421340967339814,
      0.0601889195876663,
      0.105843016910887,
      0.153862956173785,
      0.154308421841344,
      0.130689467489673,
      0.164833196069152,
      0.187790991580215,
      0.138228430931191,
      0.0927042461940618,
      0.0903354906925527,
      0.100920744342141,
      0.113902039707204,
      0.128097713772546,
      0.144267714393619,
      0.16234376329791,
      0.162682806473279,
      0.126461597059191,
      0.102991836872466,
      0.123684871257178,
      0.132705339813141,
      0.118219509687821,
      0.12729279280494,
      0.156382677040754,
      0.166248571708284,
      0.177037698920044,
      0.181109589521998,
      0.1419975644172,
      0.103368225785638,
      0.10071960367317,
      0.117606618286471,
      0.115588413738678,
      0.105467717291951,
      0.109360278376086,
      0.132242735039603,
      0.13408542158989,
      0.109161683047367,
      0.087592343098419,
      0.0805048893998919,
      0.0897483259989646,
      0.12396346347873,
      0.141673948850367,
      0.113714613270705,
      0.0848777542701045,
      0.10650669042462,
      0.159084311025288,
      0.16742075349571,
      0.12218093947389,
      0.119286971669805,
      0.139408124619739,
      0.139298059672376,
      0.117530762352622,
      0.102990544551797,
      0.114136632684809,
      0.143330575197351,
      0.141510503660405,
      0.125609562386022,
      0.131391911163301,
      0.151058464317367,
      0.167246603256807,
      0.157224568284641,
      0.136071352754823,
      0.119987130633339,
      0.125587454108062,
      0.174943639102428,
      0.205014164054222,
      0.168340808931055,
      0.131682446892483,
      0.133277778033994,
      0.142533725503726,
      0.160800567821539,
      0.188614299249951,
      0.156711214664506,
      0.10612966994537,
      0.13071299714456,
      0.211941000576636,
      0.21259556241126,
      0.12636954067734,
      0.0979720033049386,
      0.118963853227706,
      0.15275662232022,
      0.15186796273374,
      0.141874741236973,
      0.145018352564898,
      0.145860302699437,
      0.143034061846935,
      0.130283212418923,
      0.114904934739264,
      0.114151750459759,
      0.123104392497507,
      0.131346745257007,
      0.133757019471364,
      0.146493747934381,
      0.146603750874538,
      0.127287417814944,
      0.119989885503635,
      0.132935314242749,
      0.15175305470858,
      0.159294682835482,
      0.143164871749732,
      0.11244931974421,
      0.0893897920083018,
      0.0985302886763803,
      0.119518787311457,
      0.121874786729633,
      0.126532682787547,
      0.153071060741023,
      0.178686995247691,
      0.186118595980781,
      0.176589782769103,
      0.154645185779644,
      0.143827291734681,
      0.152284478769159,
      0.158575967791362,
      0.134006270799834,
      0.114179578975768,
      0.130522110347939,
      0.144176590734942,
      0.129149066102729,
      0.10000550016315,
      0.0830893163898753,
      0.099527026928422,
      0.133611238762673,
      0.154676757295637,
      0.147246313132844,
      0.108614792246238,
      0.0837159560768014,
      0.111444143019363,
      0.175663891917855,
      0.202426133620511,
      0.166726546186271,
      0.161828282658029,
      0.176736423256693,
      0.171071920902164,
      0.151218130928384,
      0.127794519555032,
      0.113293638082497,
      0.127095970039966,
      0.154315641101664,
      0.1634817180025,
      0.155527656186034,
      0.155993752201638,
      0.16231499564785,
      0.15803474561125,
      0.156010400017506,
      0.14061532380125,
      0.11640326883639,
      0.124187658638302,
      0.16848757343301,
      0.18784504914582,
      0.166772892354956,
      0.150628858452617,
      0.147387001004175,
      0.143976037982505,
      0.13637390315771,
      0.123578905165975,
      0.10145490038657,
      0.0856517689806152,
      0.0932771613063562,
      0.119420808607872,
      0.156140593848956,
      0.176745306056988,
      0.171197819101458,
      0.163061991488604,
      0.172268078304303,
      0.168015628522765,
      0.143395649327149,
      0.129973214491305,
      0.115817726568716,
      0.0770177553585159,
      -1.29581376271683e-17,
      0.00835257628743682,
      0.0422603254315503,
      0.0740519121863739,
      0.0805830781390227,
      0.0920984554655685,
      0.117797865982572,
      0.14526901944785,
      0.140232860972641,
      0.125681885786498,
      0.142259041051985,
      0.138591090187113,
      0.107367874337115,
      0.134012720288998,
      0.172119255022819,
      0.142029268168513,
      0.116916001002686,
      0.141712320061478,
      0.164681557471644,
      0.148542760116691,
      0.0976237042264303,
      0.0565309685683451,
      0.0374633662102232,
      0.0451750236552142,
      0.0695102828786199,
      0.0925854131528053,
      0.0967717750373124,
      0.0729941467056695,
      0.0508212903280858,
      0.04204363442465,
      0.038862948901897,
      0.0422628992460729,
      0.0628954367108952,
      0.110405348791813,
      0.166744332792962,
      0.173819716756373,
      0.148968012304633,
      0.129230515744699,
      0.0847859948361546,
      0.0601349699714063,
      0.0796510709390785,
      0.122758071252909,
      0.166191847557595,
      0.167320925350615,
      0.15765396315945,
      0.199623898315814,
      0.224613126494418,
      0.17030296586714,
      0.140138727689226,
      0.160757175540385,
      0.160100408964785,
      0.147135645555761,
      0.168064408089506,
      0.196157450517379,
      0.180976846714092,
      0.16832812008568,
      0.188131708784673,
      0.16763654329263,
      0.123190384207914,
      0.122557095784275,
      0.147009391605316,
      0.139647193257117,
      0.12483260043969,
      0.140165558343475,
      0.16216019542578,
      0.150933936882958,
      0.129895238061293,
      0.133449444649769,
      0.147596818149308,
      0.126884991042625,
      0.100049951959726,
      0.0795401366278964,
      0.0578527593019267,
      0.0483080811460229,
      0.076421999003636,
      0.134105085311401,
      0.187341533815641,
      0.183781915981988,
      0.163570099291554,
      0.165572760628233,
      0.156620341177047,
      0.124769287561048,
      0.121640452270341,
      0.151120609299124,
      0.188846210029395,
      0.180729637464193,
      0.135748382643554,
      0.130628592638069,
      0.159356152526777,
      0.165492389639848,
      0.136196970894906,
      0.106631380371778,
      0.0898900050244188,
      0.097542140361928,
      0.144481302793745,
      0.17011544006424,
      0.137764048408223,
      0.124458651828781,
      0.133585574408289,
      0.138611150584189,
      0.166020311224648,
      0.183544724470464,
      0.149770356786401,
      0.11261569671231,
      0.118410084396402,
      0.156087514413707,
      0.153849875607757,
      0.109697236337824,
      0.105912131794347,
      0.136479736716243,
      0.16705990068756,
      0.159540889417372,
      0.144635331776627,
      0.146173422244261,
      0.152395121259572,
      0.153832684298061,
      0.150537946211463,
      0.138926699579331,
      0.124103089151445,
      0.120994374657745,
      0.127737269026457,
      0.133904606447236,
      0.14532617025311,
      0.152535019241863,
      0.14147668245647,
      0.129784681433491,
      0.139435146300743,
      0.1558207843737,
      0.159122623072314,
      0.156173970453976,
      0.137704038890275,
      0.105771754795788,
      0.114662406292461,
      0.149169164563142,
      0.159472179709479,
      0.160692927660647,
      0.181089759755558,
      0.197160908204539,
      0.187826986928248,
      0.167657189364118,
      0.162081104839363,
      0.172576452851742,
      0.181491872616567,
      0.168194446853328,
      0.137230281702604,
      0.129829908991227,
      0.159805172746764,
      0.189381087886926,
      0.172355017689478,
      0.127736732983178,
      0.105919657490982,
      0.126287427907611,
      0.159452425376259,
      0.176541824460775,
      0.167500944977227,
      0.127787113811738,
      0.0984590599825361,
      0.111322065863705,
      0.155765509686111,
      0.177113520100611,
      0.160545717086411,
      0.171052339040827,
      0.193052004851721,
      0.190793504899618,
      0.163619501464516,
      0.134720970871186,
      0.122990056949215,
      0.145268166323338,
      0.182502841793676,
      0.180941258701578,
      0.161368156197707,
      0.166170080522562,
      0.175700048946921,
      0.181088294937032,
      0.184775175999741,
      0.158432397766238,
      0.129993271905849,
      0.139271880661682,
      0.174142913912698,
      0.177898106918763,
      0.152338655348657,
      0.159206097810781,
      0.18218305442255,
      0.171750585922909,
      0.163854582770671,
      0.160892704840638,
      0.126737340070411,
      0.100706502772529,
      0.119349737375267,
      0.153732294462576,
      0.16009388991249,
      0.148861167609262,
      0.159577526552626,
      0.17827553789363,
      0.186726665299374,
      0.175725672365996,
      0.13809325373903,
      0.11788978434265,
      0.121879764665458,
      0.094785476798811,
      -3.88744128815049e-17,
      0.0140665527349159,
      0.0624581808331137,
      0.116793368065402,
      0.117448112844217,
      0.0985109297541924,
      0.103645358686827,
      0.114079213663757,
      0.0993354258538435,
      0.104710785663557,
      0.141744687108514,
      0.149189882574881,
      0.133386878892442,
      0.134218414476384,
      0.122963850080091,
      0.0902792536863547,
      0.0735800579136569,
      0.0819183305099675,
      0.0971127866176333,
      0.0904006565619394,
      0.0579894806337401,
      0.0374247888858657,
      0.0405013298125555,
      0.0558620025716589,
      0.0737895615905671,
      0.0848720913609145,
      0.0818881356415961,
      0.0625990911014218,
      0.0476685408428784,
      0.0419164261034796,
      0.0412157633044024,
      0.0432284771294105,
      0.0462052303590935,
      0.0685434713390592,
      0.133959328418583,
      0.159592326309377,
      0.106255426130672,
      0.0699228846929865,
      0.0459997020088277,
      0.0352142370982276,
      0.0470260251961507,
      0.0794538331964132,
      0.130556363067265,
      0.152993753002692,
      0.140303102303499,
      0.173529763362376,
      0.201823683105573,
      0.163285825060846,
      0.134302102853285,
      0.127004582755787,
      0.112399413026985,
      0.102337086930617,
      0.114706694354271,
      0.141001564981382,
      0.140475088499981,
      0.129599135996743,
      0.142084900747629,
      0.137937990395888,
      0.12751826096771,
      0.158020233246027,
      0.193687291525663,
      0.176073470772116,
      0.154761760442593,
      0.175019781496269,
      0.186514502602315,
      0.153908716648362,
      0.136999431567191,
      0.150273795853975,
      0.154998068603649,
      0.115314305830409,
      0.0702118936021895,
      0.0505618921008569,
      0.0511849471199466,
      0.0498569990513898,
      0.0513894191612279,
      0.0673111475578877,
      0.107702490091095,
      0.132170840082594,
      0.118427858099715,
      0.106921220546513,
      0.0907158963619729,
      0.0705592811696272,
      0.0784233152046395,
      0.107376547965232,
      0.149394824117585,
      0.157529329612759,
      0.114191120392216,
      0.0970004801008828,
      0.113299113626699,
      0.114359179365016,
      0.0976309076946047,
      0.0879251210487224,
      0.0832100876970867,
      0.0869012264877276,
      0.108637258112399,
      0.11626446397926,
      0.0944304305370097,
      0.085932711659481,
      0.085808255418114,
      0.0918940141240032,
      0.113054777233401,
      0.115459374401279,
      0.0936582513987767,
      0.0806589173971278,
      0.0802027900791146,
      0.0987718604670279,
      0.120318268236096,
      0.110736404527699,
      0.112921354773723,
      0.156390608246072,
      0.198248580089781,
      0.175505780313048,
      0.140465433285234,
      0.133934907537172,
      0.136823181376416,
      0.134155156935637,
      0.141062545657753,
      0.142618608135803,
      0.130644968456256,
      0.126304149483796,
      0.135130714335312,
      0.140773237671863,
      0.134363778238294,
      0.125265453237056,
      0.115328493758654,
      0.10885179339911,
      0.110442152743371,
      0.114787574338675,
      0.128438332586481,
      0.160912308250224,
      0.170045429421942,
      0.14113505725997,
      0.130024644789078,
      0.143166372869507,
      0.150804216927706,
      0.142895277010935,
      0.137832276166292,
      0.147019719150838,
      0.145184575464621,
      0.131037434173874,
      0.131548783270675,
      0.137553789269879,
      0.131351726388956,
      0.113491910836425,
      0.104091565602589,
      0.103695847742852,
      0.117740964252033,
      0.166322898416144,
      0.177701940735244,
      0.136032647666319,
      0.126395144342862,
      0.14924672910886,
      0.170915412116605,
      0.180606046581,
      0.17518593767126,
      0.140736831546242,
      0.103225758707923,
      0.0979658631872343,
      0.127830652035903,
      0.153329900680777,
      0.142678635807753,
      0.146521112803591,
      0.165388118370386,
      0.172722330130822,
      0.149361833084658,
      0.124178010810175,
      0.127172495576733,
      0.162447684003849,
      0.196111990770152,
      0.171905988543789,
      0.13533993290201,
      0.137285432304148,
      0.146441219853634,
      0.152561761511212,
      0.15225158400424,
      0.128503278314777,
      0.111877343540272,
      0.113237447026699,
      0.123369799887694,
      0.129238528265644,
      0.126896103097328,
      0.146369049515121,
      0.177920152452109,
      0.181344579292,
      0.172578555424448,
      0.152628440968142,
      0.122046373732575,
      0.112486234879274,
      0.148695101207656,
      0.194491464915096,
      0.171434267476631,
      0.122539687287395,
      0.122553878192662,
      0.132576142041464,
      0.129552173766247,
      0.123322140256825,
      0.100045546640809,
      0.079249710612787,
      0.0796134903866181,
      0.0667058981230224,
      5.18325505086733e-17,
      0.0166366397073921,
      0.0683728726469725,
      0.125777359054543,
      0.116635647505943,
      0.0769374440004628,
      0.0612066721665346,
      0.0642203988665885,
      0.0649806508525731,
      0.0781385308612913,
      0.0963821504367825,
      0.107023444028985,
      0.117906153402155,
      0.104308614910191,
      0.0721788709136632,
      0.0550344999376481,
      0.0474450450497146,
      0.0423773535442668,
      0.0455126340763897,
      0.0491146926730046,
      0.0441662661000629,
      0.045531374377137,
      0.0626873082399491,
      0.0850624435901802,
      0.101048989449877,
      0.100050846288705,
      0.0862221760821452,
      0.0707152162091308,
      0.0572017629684749,
      0.0479704621086396,
      0.0447442800294538,
      0.0460452917816432,
      0.0454700209877927,
      0.0495397845263558,
      0.0729615300885566,
      0.0903871636062434,
      0.0731178548035487,
      0.0507032711248763,
      0.0352981839064382,
      0.0271169563750727,
      0.030267433067152,
      0.0489620209961005,
      0.0820887697352318,
      0.101888512854387,
      0.1052504398591,
      0.13067234375822,
      0.146556678552394,
      0.120503766940773,
      0.0941654218772137,
      0.0786477360893609,
      0.0704252159496546,
      0.068261977649181,
      0.0748770873780262,
      0.09288492425951,
      0.103271016019173,
      0.10459714596533,
      0.10906831701349,
      0.105955202199357,
      0.105127973326799,
      0.128407077250326,
      0.158110055608884,
      0.149902755610787,
      0.129586608707485,
      0.139681305423502,
      0.14698756903453,
      0.117122991798116,
      0.100569400053693,
      0.112674493254928,
      0.117110153848584,
      0.0843577085639275,
      0.0548166097136689,
      0.051780815960264,
      0.0591812255769079,
      0.0546606285244956,
      0.0443393599021452,
      0.0420597103994264,
      0.0515279024569339,
      0.0591853726766726,
      0.0571795891878578,
      0.054276043765321,
      0.0479240390618612,
      0.0407396785704177,
      0.0422051128319493,
      0.0570961363506433,
      0.0887305328541958,
      0.102286806593283,
      0.0865893482679495,
      0.0815395871436457,
      0.0876476201400398,
      0.0895611236383627,
      0.0858037042509171,
      0.078593070552269,
      0.0701668492941254,
      0.0713424915148475,
      0.086436082659904,
      0.0959341324522569,
      0.0874382621266422,
      0.0778546516628891,
      0.0687187300645359,
      0.066713381372757,
      0.0731161318191463,
      0.0756632281299088,
      0.070991643522809,
      0.0663816111754714,
      0.0679261279671682,
      0.0924784249037941,
      0.120936064723429,
      0.109579612031636,
      0.103135514312696,
      0.146201032614888,
      0.202334142935953,
      0.178277810236766,
      0.129449670179479,
      0.119406962668452,
      0.120204698416115,
      0.114942920468789,
      0.114294481194897,
      0.117845049164637,
      0.130449646690917,
      0.149452913920509,
      0.167174257193978,
      0.172907589214174,
      0.144481986220864,
      0.106261877550468,
      0.0902040377674654,
      0.0887194993769147,
      0.0920860107367187,
      0.0996298962325853,
      0.113877587310572,
      0.129389541426904,
      0.138373172466328,
      0.139232482065273,
      0.133439274332487,
      0.124510911094057,
      0.114292618608415,
      0.0978264197498478,
      0.0904333079589992,
      0.108509786130847,
      0.117114766550951,
      0.106784702756671,
      0.101763825660748,
      0.104964275226438,
      0.101510663681595,
      0.0879281968181506,
      0.0813733548368499,
      0.0811195877713488,
      0.0899557367805788,
      0.125110567523992,
      0.136481107998032,
      0.10801792153236,
      0.100351218737387,
      0.121189395461874,
      0.146293190817429,
      0.158566882565522,
      0.15373686431158,
      0.120817791281814,
      0.0862464655281731,
      0.0839333399955527,
      0.114975232148672,
      0.144332237616399,
      0.131164914676366,
      0.128525211333518,
      0.144992112167479,
      0.147780594753491,
      0.121963649953982,
      0.10052684070539,
      0.103406122586638,
      0.129541194161071,
      0.153225123036554,
      0.136229387305319,
      0.107835681419326,
      0.106829549578459,
      0.115563138636979,
      0.116352359793318,
      0.108750923145607,
      0.0948062912958294,
      0.0883875778035339,
      0.088560620447518,
      0.0961736091155949,
      0.108723029290282,
      0.113280878591561,
      0.119381102525746,
      0.139722599475339,
      0.153720147803635,
      0.148907982706623,
      0.120548591694155,
      0.0965299976767738,
      0.0965607938139149,
      0.128761338216455,
      0.166388020847965,
      0.147200893011136,
      0.105705987865698,
      0.0981025216705363,
      0.0976101004896211,
      0.091859418794574,
      0.0866570321141201,
      0.0737565081893544,
      0.0580095858631147,
      0.0489664465216003,
      0.0370980948236874,
      0,
      0.0105836381165685,
      0.0419683575150006,
      0.0743490124868612,
      0.0733766587368973,
      0.0546640242486812,
      0.0432502940476918,
      0.0442121295717656,
      0.053177411395249,
      0.0685931317052642,
      0.0756009748907046,
      0.0803636639168164,
      0.0879721464973184,
      0.0745320931308703,
      0.0528197025254261,
      0.045387112679663,
      0.0403347499114307,
      0.032824167280179,
      0.034550602781621,
      0.0405690008718112,
      0.0462225462626999,
      0.0634525989560277,
      0.0838910083458033,
      0.0985934229229631,
      0.121053412654841,
      0.136873095110466,
      0.106965487294011,
      0.0812233844377214,
      0.068419895096037,
      0.05747747738135,
      0.0523409262944969,
      0.0494255728232467,
      0.0433095306887641,
      0.0446653628126489,
      0.0556405299716511,
      0.0599320296000315,
      0.0557711863896214,
      0.0514527894726928,
      0.0439153617121923,
      0.0323976711227781,
      0.0288451221794589,
      0.0412729951398654,
      0.0610787057952748,
      0.0746913717230245,
      0.087924475005777,
      0.11145896131903,
      0.124461650158583,
      0.105932274540572,
      0.0802052846734257,
      0.0628434278523089,
      0.0577086248134416,
      0.0576895964042813,
      0.0606138986949565,
      0.073186813985382,
      0.0862239910022316,
      0.0906526774485961,
      0.0923833219284588,
      0.0916121260144052,
      0.0924444966552253,
      0.100689378119173,
      0.113847595657155,
      0.111132641853713,
      0.096552118222775,
      0.0953521566621037,
      0.0996765478015436,
      0.0849406846184369,
      0.0753905944743221,
      0.0845551120526575,
      0.0875206467288856,
      0.0651869948020299,
      0.0557475244778028,
      0.0703305359050371,
      0.0717705429051679,
      0.053652382024088,
      0.0393747052492658,
      0.0355258771964614,
      0.0405111068626643,
      0.0414659034605032,
      0.0371169818519904,
      0.0333348258433146,
      0.0318185346049623,
      0.0307064743725222,
      0.032893528410196,
      0.0472337001069343,
      0.0696039226798782,
      0.0768066547945548,
      0.0746324542711712,
      0.0773918563269944,
      0.0817090123105225,
      0.0868950916214724,
      0.0876954761430463,
      0.0766889219941454,
      0.0646752807335684,
      0.0646194368087297,
      0.0773688097581162,
      0.0949914024098635,
      0.0993290478776972,
      0.0905926608055635,
      0.0758954452017087,
      0.0669563664983797,
      0.0680874676487811,
      0.0716324681939559,
      0.0707134207476341,
      0.0638598631915896,
      0.0628303401959023,
      0.0873002182649739,
      0.110726706284371,
      0.0952824428010227,
      0.0868458827306077,
      0.121291523946939,
      0.170918621160553,
      0.157118462422471,
      0.117456001270568,
      0.109226147081285,
      0.114028565461723,
      0.114769529421293,
      0.112246630620894,
      0.113371079240078,
      0.129273527509628,
      0.152776571184607,
      0.161826762001097,
      0.157998798812361,
      0.136943576570113,
      0.103777702099134,
      0.0853467806569013,
      0.0813335414584877,
      0.0861374043275228,
      0.0960469069560645,
      0.103653301384698,
      0.106581615559525,
      0.108272511660887,
      0.110086254598378,
      0.104942292198463,
      0.0966803593854066,
      0.0882907518679631,
      0.0758451915274529,
      0.0750536038044065,
      0.0930893704226634,
      0.100874927187167,
      0.0904872485116658,
      0.0845987923125446,
      0.0900987292216017,
      0.0913945210826302,
      0.0806054798922358,
      0.0721538540598572,
      0.0725007687006187,
      0.0830779365083937,
      0.105326055966976,
      0.108274950117963,
      0.0862882304791018,
      0.0793912174896745,
      0.0924288881767205,
      0.108850037988131,
      0.123462169895703,
      0.125742478636486,
      0.0993165794223385,
      0.0718032775499666,
      0.0752462932608867,
      0.112914560605533,
      0.142491552673442,
      0.121734075475635,
      0.114615581140879,
      0.131127467867531,
      0.131276973689202,
      0.108145924225203,
      0.091943949661214,
      0.0910134108384076,
      0.105004083801194,
      0.1221331218584,
      0.119349788377243,
      0.102399586268016,
      0.0995275416514499,
      0.107861297524339,
      0.107733549291391,
      0.0974260765611628,
      0.0851586737989639,
      0.0798695958954361,
      0.0798033534337518,
      0.0859777632226223,
      0.101838852604703,
      0.111621088443744,
      0.111144402559842,
      0.12131738943923,
      0.130941801257853,
      0.12293717253297,
      0.100414225446359,
      0.0840219570031194,
      0.0798655624365397,
      0.0886591169387398,
      0.104121829792936,
      0.110123552629606,
      0.0987431811959957,
      0.0856914136509801,
      0.0793182690764341,
      0.07481307040185,
      0.0704990966036314,
      0.0619766176163288,
      0.0508839135507898,
      0.0398813887812587,
      0.0272421760173427,
      1.94372064407525e-17,
      0.00466287051284717,
      0.021087588211801,
      0.0422640784650744,
      0.0537296919267604,
      0.0500804479346444,
      0.0412334330718626,
      0.0439025185342606,
      0.0589868770288465,
      0.0702332535786612,
      0.0702229017308833,
      0.0709801941766706,
      0.0695544767142219,
      0.0601120462801213,
      0.0484331162555267,
      0.0434425187383862,
      0.0426880283990505,
      0.0392589312734406,
      0.0467920782214249,
      0.0583593282794851,
      0.0627321022723913,
      0.0737864042882603,
      0.0772339691261612,
      0.0739604799668867,
      0.106045523211561,
      0.160382846173654,
      0.134670819114815,
      0.0822180235673445,
      0.0646190839453845,
      0.0556532551985785,
      0.0488218097876199,
      0.0444307157349241,
      0.0404139783056528,
      0.043441411319743,
      0.0509511574839501,
      0.0547856126029223,
      0.0568504138308961,
      0.0596449185391582,
      0.0564633973356053,
      0.0419027898353609,
      0.0343271783811829,
      0.0412858993269752,
      0.0529065466168344,
      0.0670990586951474,
      0.0842717561008917,
      0.104511416343148,
      0.116208444857956,
      0.0979324365016675,
      0.0710139074308905,
      0.054301018676994,
      0.0513763378561514,
      0.0539075230919663,
      0.058068690177848,
      0.0702578103354048,
      0.0852304462962057,
      0.0918456055799866,
      0.0921029206979016,
      0.0873690684647201,
      0.0849162323368073,
      0.0871514012782934,
      0.0913055578735911,
      0.0900871899350336,
      0.0830831549267442,
      0.0791542088290836,
      0.0790530167840152,
      0.0696826794331255,
      0.0633986973476415,
      0.0640254476058975,
      0.0624378407752748,
      0.0517143493470942,
      0.0566881607562383,
      0.0767916743238699,
      0.0723152755257749,
      0.0484278532128603,
      0.0387275341454315,
      0.0450362068250657,
      0.0530101114031705,
      0.0497933062237554,
      0.0438188380099615,
      0.036557691839907,
      0.0333335037797085,
      0.0325369583876742,
      0.0361560309748419,
      0.0492333110445776,
      0.0634718238374875,
      0.0671540327224211,
      0.0709378578456955,
      0.0755236769488727,
      0.0850833711297583,
      0.0926891510168144,
      0.0872681695722689,
      0.0754605611072108,
      0.0690702962225167,
      0.0710380356310841,
      0.0789264487925084,
      0.0908107071059882,
      0.0987326425163971,
      0.0959898963947839,
      0.0833306971259188,
      0.0740619968459745,
      0.0716443072967201,
      0.0687476900538384,
      0.0625979820154447,
      0.0577307472086917,
      0.0635202004951167,
      0.0926357026397793,
      0.115880153307863,
      0.0954674661433099,
      0.0839328464200828,
      0.108859525639094,
      0.142634019689805,
      0.1347008744295,
      0.110497207428757,
      0.106799304123353,
      0.113272411918961,
      0.119089424681646,
      0.118082029462801,
      0.110992001742729,
      0.115696566254082,
      0.12784858838406,
      0.130229530000891,
      0.133497023102405,
      0.126303808151811,
      0.101421251271451,
      0.0855943085219156,
      0.081810242565473,
      0.0847209718141675,
      0.0903253229653643,
      0.0940215437268363,
      0.0991628029109027,
      0.0989463788450928,
      0.0926953999265492,
      0.086349367204044,
      0.0836858199581812,
      0.0816524578817917,
      0.0758259743972745,
      0.076363330035514,
      0.0921548822881067,
      0.101733422666417,
      0.0907131301592893,
      0.0823177551575486,
      0.0891530629541124,
      0.0917862667929729,
      0.0833554695421025,
      0.0735868966579193,
      0.0704348980062437,
      0.0842135428753721,
      0.110530313023452,
      0.110541706997243,
      0.0849381926935614,
      0.0785487828509817,
      0.086520231707386,
      0.0928285546157624,
      0.108880851417946,
      0.116046171831069,
      0.0898365831853162,
      0.0642114756811892,
      0.0713722044327415,
      0.111314763639835,
      0.139564709132971,
      0.117484742158494,
      0.107948753250696,
      0.125465634949349,
      0.126818478626189,
      0.103612575691388,
      0.0869537730170394,
      0.0870528240654899,
      0.0991762415158187,
      0.111990902468397,
      0.111704794685237,
      0.100290537942,
      0.098742059076941,
      0.110253734376068,
      0.114540225681049,
      0.101947369901859,
      0.083643157078336,
      0.0754493956008128,
      0.07609741270501,
      0.0830380470026602,
      0.101212637449416,
      0.115672981536981,
      0.114096498712744,
      0.114058369731754,
      0.117930670893321,
      0.110434354268745,
      0.0945012542605287,
      0.0834187277770176,
      0.0764835158816189,
      0.0756627385431667,
      0.0840738911455806,
      0.0992542923858633,
      0.0986395657416998,
      0.0857522372091224,
      0.0758726905968272,
      0.0737276839703136,
      0.0714075418741637,
      0.0613260673440966,
      0.0516139866317321,
      0.0408528395030547,
      0.0254908290782982,
      -6.47906881358416e-18,
      0.00412696526912788,
      0.0203575044714859,
      0.0406111623633698,
      0.0521608545509098,
      0.0525583168256395,
      0.0473280921067227,
      0.0519432796349932,
      0.0675817087026325,
      0.0717210009376596,
      0.0642780997013496,
      0.0649497513374779,
      0.0624588706249258,
      0.0546707360826634,
      0.0495266727879517,
      0.0480861180613571,
      0.0502953079632817,
      0.0502548125275188,
      0.0579734675762401,
      0.078794087680997,
      0.0881713828767002,
      0.0803812813636227,
      0.0645146981600697,
      0.0614302218848216,
      0.0947871505423593,
      0.147924307457658,
      0.146540008601292,
      0.0956422827068295,
      0.0663203886399178,
      0.0562134333005914,
      0.0460111176682242,
      0.0414675800623531,
      0.0440330335878425,
      0.0503955043577846,
      0.057527371443736,
      0.0611440909160237,
      0.0615756787473082,
      0.0653583338394541,
      0.0639360750252159,
      0.0487358428321859,
      0.0395955047382566,
      0.0438378723328466,
      0.0555570465057794,
      0.0730769512387377,
      0.0885508906434399,
      0.101123208057877,
      0.107485370328226,
      0.0910541441459581,
      0.0691775456568885,
      0.0579029248948955,
      0.057505500471284,
      0.0620656800679222,
      0.0647037627319525,
      0.0737045537817029,
      0.0957865002932208,
      0.112305297245384,
      0.111133684725807,
      0.0974099384307511,
      0.081725175642647,
      0.0746288903772356,
      0.0793112230685466,
      0.0823280783646569,
      0.0782050281778802,
      0.0762018314310931,
      0.0824412983360849,
      0.0831063395652967,
      0.073067329363665,
      0.0617018273970545,
      0.0548243036895413,
      0.0480139222473098,
      0.0568769709188038,
      0.0732774031187217,
      0.0687052192287364,
      0.0503059995105349,
      0.0465138359086411,
      0.064966493823161,
      0.0792976488116358,
      0.0681735176024519,
      0.0585842609649048,
      0.0536963904209287,
      0.0504270706931529,
      0.0493462501929398,
      0.0498829821393499,
      0.0562594626947735,
      0.067141616895361,
      0.0725749542537082,
      0.0756376169308549,
      0.0759329442316022,
      0.0866318170020761,
      0.097644020135186,
      0.0864664723365972,
      0.0752959367061189,
      0.0777320567403048,
      0.0848226449001189,
      0.0960969282554467,
      0.100836376135295,
      0.091850271048326,
      0.0839120380948423,
      0.078428426812012,
      0.0759809958654687,
      0.0762098611373605,
      0.0718650686758406,
      0.0585166425741373,
      0.0554563486723974,
      0.07281042077814,
      0.111769511074135,
      0.135821960432646,
      0.106455325732103,
      0.0847160354856148,
      0.0978369703997726,
      0.121507932677591,
      0.120739503861848,
      0.10958803683864,
      0.110210968937269,
      0.111742448371876,
      0.113993127209972,
      0.113293526196764,
      0.102115607295459,
      0.103732745616541,
      0.116333931786266,
      0.120369608936509,
      0.120315340230846,
      0.117890052066497,
      0.1045917860946,
      0.0898381112327166,
      0.0820287146550717,
      0.0826045970727634,
      0.0903270781969755,
      0.0981556752961627,
      0.103014349298194,
      0.0960533832476212,
      0.0826529590145397,
      0.0754193852328601,
      0.0778834911988617,
      0.0839327144331149,
      0.0866379348932104,
      0.0898798440544734,
      0.104555360007803,
      0.116225129227186,
      0.10678811791618,
      0.09490660213075,
      0.0957540798089297,
      0.0936233983293859,
      0.0856418704952579,
      0.0756156108458843,
      0.0718749396266423,
      0.0872525150400145,
      0.112627387964401,
      0.11593840245189,
      0.0898052485526619,
      0.0782027475985937,
      0.0848736975319972,
      0.0910940607978108,
      0.112807310049294,
      0.122099100680608,
      0.087405329277117,
      0.0602447535071937,
      0.0724568449149749,
      0.115915533253402,
      0.145085265753675,
      0.120405437272769,
      0.109617972974572,
      0.128645941245532,
      0.128164581833677,
      0.103525831431519,
      0.0870265302208737,
      0.0859643591259427,
      0.096611832877821,
      0.111915681867054,
      0.113637819840123,
      0.103548086023991,
      0.105939671413999,
      0.118265471048091,
      0.119635269262203,
      0.106987491614527,
      0.0885155032651624,
      0.0768758448753629,
      0.079171253640092,
      0.094525590664565,
      0.113148771481523,
      0.12170661029086,
      0.117750645187923,
      0.113198793186419,
      0.114419148982235,
      0.107079754637452,
      0.0926394866607576,
      0.0792934474470883,
      0.0693034117023331,
      0.0676409669239127,
      0.0774677081437906,
      0.0955894497494893,
      0.103080735431244,
      0.0951697872631261,
      0.085404777037587,
      0.0887143401202521,
      0.0898446841696688,
      0.0767390247129617,
      0.0672922915578512,
      0.0538376766939448,
      0.0303420577495298,
      1.29581376271683e-17,
      0.00488202113352329,
      0.0257716196264612,
      0.0463168620529327,
      0.0505230053149752,
      0.0493447751561187,
      0.0490126625162674,
      0.0598221841609008,
      0.0752080646061943,
      0.0714078556109929,
      0.0635523779134664,
      0.0685181859909264,
      0.0629485087266215,
      0.0595577515219846,
      0.0682120918105432,
      0.0622529950472706,
      0.0531825758744646,
      0.0552392206458616,
      0.071307598956809,
      0.107749657387946,
      0.12178771360137,
      0.0903123255305538,
      0.0533192681347487,
      0.0499098862803879,
      0.0765470352950768,
      0.119725554118324,
      0.142580305345993,
      0.103485940061281,
      0.0618860765372491,
      0.0485334904918637,
      0.0399971793978801,
      0.0377371202636182,
      0.0446464948241018,
      0.0562214684041599,
      0.0681492420301854,
      0.0721488130880427,
      0.0718710438777303,
      0.0768093424026657,
      0.0681947034672437,
      0.0512317544646763,
      0.0462539880388775,
      0.0544209377402731,
      0.0689960786461378,
      0.0852578117120929,
      0.101707215077868,
      0.112882479182559,
      0.114450071738426,
      0.0947079249432884,
      0.0728081080000195,
      0.0722429969889256,
      0.0778198348631448,
      0.0764226746438165,
      0.0795314781220779,
      0.0949757979876729,
      0.111475175117057,
      0.124691239377256,
      0.128868545484779,
      0.110631456485202,
      0.0834235765692024,
      0.0746279842796057,
      0.0860291008503599,
      0.0893673344263788,
      0.0804745652862981,
      0.0811172666825596,
      0.0964763560561964,
      0.0990180851080473,
      0.0817570565419885,
      0.0670568985606594,
      0.057019803735296,
      0.0460491565916374,
      0.051866176788713,
      0.0676653277135335,
      0.0669230146318378,
      0.0518747392506901,
      0.0495108218327065,
      0.0714358617994781,
      0.0909549309237642,
      0.0802246129507975,
      0.0662162607794147,
      0.0672901229337338,
      0.0715806570308288,
      0.0707799187411487,
      0.0680673172117149,
      0.0712838493236072,
      0.0803772836251093,
      0.0834218600188003,
      0.0802355334843418,
      0.0798533205173274,
      0.0939811213726711,
      0.114892683960198,
      0.107170669600126,
      0.0861743395143558,
      0.0824180546199635,
      0.0877374064583161,
      0.106739373042603,
      0.117784962026244,
      0.100621758858044,
      0.0820183664714436,
      0.0728416928844243,
      0.0759153039738622,
      0.0873355183397694,
      0.0889006839355063,
      0.0683732573812053,
      0.0600248225578996,
      0.0839216995601775,
      0.138947252902372,
      0.158989113700573,
      0.110184020382594,
      0.0820406817564827,
      0.0956537680925626,
      0.123691073271822,
      0.127459887053183,
      0.116444090487076,
      0.114871271737195,
      0.115325365909967,
      0.114175127361997,
      0.11114432300717,
      0.103271990297489,
      0.103677824128722,
      0.113503560032626,
      0.118691084613467,
      0.113342480717766,
      0.110437597051855,
      0.103766994607994,
      0.0913407049587993,
      0.0859782536607585,
      0.0896783404785896,
      0.100598748770543,
      0.112359551337512,
      0.116118519996288,
      0.100995584096574,
      0.0790388244825108,
      0.069760302033147,
      0.0755233949864885,
      0.0848338696892358,
      0.0939950144505015,
      0.106739792722303,
      0.124650218032166,
      0.140731368335005,
      0.136745162779113,
      0.121131404521347,
      0.114130915529798,
      0.111874279109014,
      0.10457604605713,
      0.0865745529300149,
      0.0780124285001646,
      0.0940775813329857,
      0.115658021521578,
      0.12051222634182,
      0.0939771293255752,
      0.0763553447812172,
      0.0887396753464229,
      0.103278266249901,
      0.121506119156111,
      0.127973397106923,
      0.090925089666669,
      0.0641883747618736,
      0.0793303144839811,
      0.123574777626391,
      0.150230116205207,
      0.126047886775954,
      0.121161695493512,
      0.139484276504679,
      0.132352875846345,
      0.106164462812263,
      0.0898502445979974,
      0.0884337157736867,
      0.100349288229711,
      0.120737122982997,
      0.130122489762277,
      0.120384650430437,
      0.115575173560208,
      0.122051274848145,
      0.121540036755652,
      0.1163664759599,
      0.102243137651854,
      0.0838701699206423,
      0.0846960607499108,
      0.109723963003741,
      0.132038478403304,
      0.132975076887651,
      0.125468342778124,
      0.125500831575709,
      0.124155452910106,
      0.111582556371868,
      0.0945084828649787,
      0.0763871591806906,
      0.0653673900851065,
      0.0675710655803158,
      0.0829869972295079,
      0.105893342671455,
      0.119884768238813,
      0.115818978939765,
      0.110966978778177,
      0.11844553016371,
      0.111199229624079,
      0.0942272348662039,
      0.0930675100323357,
      0.0802484199346746,
      0.0450528364898569,
      -1.29581376271683e-17,
      0.00592187563151284,
      0.0299152774740525,
      0.0505805744721129,
      0.0486758006792068,
      0.0434851855549985,
      0.045755490772535,
      0.0618136680374653,
      0.0745361573969246,
      0.0685286935103913,
      0.0741356498090434,
      0.0869313474449202,
      0.0750523869856816,
      0.0740358719457492,
      0.0911433262356663,
      0.0750641118053343,
      0.0527069355573854,
      0.0620384750139532,
      0.090575149468188,
      0.112422463376331,
      0.102668118053326,
      0.0666743071614038,
      0.0384635783655698,
      0.0408105705731983,
      0.0610868619696528,
      0.0843619463793734,
      0.0955869181136349,
      0.0743861630476277,
      0.0469722926055078,
      0.0330465463943719,
      0.0290147805506977,
      0.0318818536492412,
      0.0411408629498105,
      0.0589606731888432,
      0.0790605060223159,
      0.0858867134887394,
      0.0776755425512525,
      0.0731406562775608,
      0.0603270817779938,
      0.0465449040159205,
      0.0468253721384514,
      0.0592529672589041,
      0.0783234332863631,
      0.0988526725933818,
      0.11496004687577,
      0.125468599577673,
      0.13044409066493,
      0.105538087340814,
      0.0797101817726262,
      0.0842021755118549,
      0.0913275164163575,
      0.0826659570566455,
      0.0875687859422452,
      0.111520905661488,
      0.118990573156102,
      0.121193114156225,
      0.132243760222863,
      0.118265642276441,
      0.0888519887331112,
      0.0822918803310267,
      0.0983867063357328,
      0.100448493932186,
      0.0885495581974582,
      0.0936975982183443,
      0.111019292008677,
      0.104953869791363,
      0.0841669751789781,
      0.0784291028841591,
      0.0774186467325567,
      0.0603512325212505,
      0.0528859156387295,
      0.0602589711980122,
      0.0589656476605532,
      0.0460677230033746,
      0.0467206919386862,
      0.0715918533408186,
      0.0945825137764599,
      0.087055302659604,
      0.0721211815028768,
      0.0763706758785858,
      0.0762684081029982,
      0.0642148948900616,
      0.061965354728143,
      0.0772331942648683,
      0.104122476700161,
      0.109460869844439,
      0.0889069115949518,
      0.0853692526235872,
      0.104237022347489,
      0.123891214436508,
      0.118572502167697,
      0.094242608226073,
      0.0808446132511182,
      0.0842966358108133,
      0.102389488252196,
      0.115858429281686,
      0.105972290749409,
      0.0869520006652057,
      0.074635300150924,
      0.083787178857127,
      0.105889598562556,
      0.108553086728178,
      0.0812961841880042,
      0.0616773735887801,
      0.070780627708883,
      0.110321090054201,
      0.123789219290083,
      0.0902666343477251,
      0.0788892058456164,
      0.0986718076653784,
      0.123254951039314,
      0.123156618844573,
      0.115451484814786,
      0.118728177365758,
      0.126546302270481,
      0.122984069649573,
      0.114124720791649,
      0.109194526701173,
      0.103950265954252,
      0.105545194106628,
      0.110201836178165,
      0.105507312052939,
      0.103615783932549,
      0.0990855886712296,
      0.0929305835577632,
      0.0973553944211258,
      0.103101085637282,
      0.106766561987914,
      0.115879105335999,
      0.122897866024471,
      0.108016354807186,
      0.0832972367605564,
      0.0747528001639415,
      0.0807128344335292,
      0.0884684474034905,
      0.0977446604336106,
      0.117684228076624,
      0.13659736666899,
      0.144600196810688,
      0.140673796828711,
      0.129663429830023,
      0.126534218383177,
      0.130347438221787,
      0.120724019818798,
      0.0938024429272705,
      0.0822794845675678,
      0.101080623127487,
      0.124494387773667,
      0.124068229811549,
      0.0937209920018549,
      0.0763064577219527,
      0.0925516128835227,
      0.109384592118949,
      0.118140996492287,
      0.119908426484088,
      0.0905146231380163,
      0.0694738292302816,
      0.0848504029434319,
      0.127418502622976,
      0.148732829939901,
      0.127405885866273,
      0.13269274451877,
      0.152546584507629,
      0.142057039122675,
      0.111659012198122,
      0.092720556336753,
      0.0906841615305102,
      0.103714700970781,
      0.1262013007168,
      0.137079467422568,
      0.129375616648717,
      0.125225038862358,
      0.132350688269811,
      0.137793513997145,
      0.136176969531674,
      0.118312597891776,
      0.0984810221702975,
      0.100205971727419,
      0.125828612569247,
      0.14324014983004,
      0.137524227867901,
      0.135048692108792,
      0.141755747812587,
      0.134886233718112,
      0.119331839906346,
      0.097521379932666,
      0.0761472986192866,
      0.0690212666558215,
      0.0793268056267325,
      0.101853119615929,
      0.120024101388829,
      0.126812574788838,
      0.130470371932101,
      0.13444405307028,
      0.132985625695214,
      0.1151877394931,
      0.0983373696445751,
      0.100876452822594,
      0.0955538167482724,
      0.0611578100217993,
      1.29581376271683e-17,
      0.00669754401640797,
      0.0320790388596947,
      0.0563493797206862,
      0.0536028205491811,
      0.044409013418261,
      0.0496325020028315,
      0.0638697158228334,
      0.0661029971040014,
      0.0620637899240746,
      0.0793409469788716,
      0.0921567121393795,
      0.0778655537496442,
      0.0719828636250999,
      0.0802161782864119,
      0.0664786176665543,
      0.0515106918597759,
      0.0672331851433367,
      0.089371956399368,
      0.0823429749797362,
      0.0589679051280451,
      0.0385650966300936,
      0.0319666492650356,
      0.0401116038047641,
      0.0567473449063467,
      0.073121222028836,
      0.0789656887033696,
      0.064982828711442,
      0.0452056002269618,
      0.0300312237163857,
      0.0245556525712727,
      0.0282248727690637,
      0.0361019479120572,
      0.0506552029274343,
      0.0731034628755286,
      0.0861178216398093,
      0.0752995418834792,
      0.0613539429458884,
      0.0455851560380097,
      0.0349050881947041,
      0.0376200067770252,
      0.0514030934159999,
      0.0766774885682836,
      0.101244220263842,
      0.108135538434762,
      0.124295986623147,
      0.138409813395651,
      0.116062096177143,
      0.0929565451209124,
      0.0903234371529669,
      0.0913755725616906,
      0.0840183157348832,
      0.0905359897585386,
      0.113457141403943,
      0.114777225979933,
      0.105757276039812,
      0.113477223428143,
      0.108748755685581,
      0.0912341292594777,
      0.0914598274126619,
      0.106384857927988,
      0.104740268003768,
      0.0910801807523921,
      0.100133563725852,
      0.121868389469431,
      0.109726599015592,
      0.0859824376592007,
      0.0900840886519037,
      0.100823449894084,
      0.0788628384636067,
      0.0579229027756638,
      0.056637973090252,
      0.0513507119937918,
      0.0387166105497843,
      0.0403060017792153,
      0.0619974734591252,
      0.0903102452900888,
      0.0976970938007686,
      0.0834050632013116,
      0.0794098264113481,
      0.069663596991359,
      0.0499882029547746,
      0.0490659779921224,
      0.0708471920024315,
      0.106407622740408,
      0.117388944922552,
      0.090013948944645,
      0.079829679422729,
      0.0976573287978801,
      0.11022328955134,
      0.105162325352586,
      0.0902326961167493,
      0.0759087592589089,
      0.0769191847046942,
      0.0925231159781269,
      0.10215734891537,
      0.090901033661961,
      0.0741717977715753,
      0.0672470526072697,
      0.0812101355698497,
      0.103770310584595,
      0.102977935753163,
      0.0766019097188839,
      0.0563162800478459,
      0.0571783783509724,
      0.0811896433755633,
      0.0901147193288135,
      0.0739967973669958,
      0.0777765717128368,
      0.104562712057846,
      0.128866296039758,
      0.124459617655054,
      0.115110579868594,
      0.118121767493522,
      0.126793845168347,
      0.121854798758975,
      0.114877182543208,
      0.116206089247375,
      0.111987828718084,
      0.109652656530892,
      0.112443126967315,
      0.109727506043043,
      0.106208632545676,
      0.0984252029600435,
      0.09006172064335,
      0.0942959878687308,
      0.0991473952428439,
      0.0976287728696615,
      0.103822813910863,
      0.113255853244855,
      0.105391411760493,
      0.0889537460450142,
      0.0861980472089923,
      0.0956516705956385,
      0.103147066074903,
      0.103912724998192,
      0.116890437183189,
      0.13607431559409,
      0.134840253325218,
      0.119978389476038,
      0.111149353392933,
      0.112966826267531,
      0.115040421479886,
      0.10333405791797,
      0.0881860662617777,
      0.0846870007380782,
      0.10444676011238,
      0.130872219518509,
      0.118891824176838,
      0.0858713191658081,
      0.0770579866090399,
      0.0897964322788725,
      0.102697044791499,
      0.113731045572964,
      0.115081697590947,
      0.0879210042101129,
      0.0646046939850915,
      0.0762838714001678,
      0.118104182694633,
      0.136230749343714,
      0.116895750267508,
      0.12573573076857,
      0.146485337022285,
      0.145017294869393,
      0.11832697851031,
      0.0955970428170205,
      0.0935943278249906,
      0.111556310977116,
      0.137157981455227,
      0.133155322148664,
      0.115871327662674,
      0.117819520581565,
      0.123994877991688,
      0.131140904081354,
      0.134504564011526,
      0.116670265693896,
      0.10291787373552,
      0.104757035727625,
      0.121201990118173,
      0.129351623851551,
      0.120011175930121,
      0.128268225132031,
      0.14286705024422,
      0.141512140359104,
      0.130944764126748,
      0.104458792695094,
      0.0804339293753975,
      0.0768517513771899,
      0.095329376297371,
      0.125085386735839,
      0.129459777218483,
      0.112198381888938,
      0.111213149576657,
      0.117631477565263,
      0.108232298483117,
      0.0904157325185618,
      0.0790088434504782,
      0.0781557932808798,
      0.0762110225828119,
      0.0537097179364592,
      -1.29581376271683e-17,
      0.00741901043653871,
      0.0343783615424209,
      0.0608607945153589,
      0.0571017792449331,
      0.0471400865934011,
      0.0547241704476268,
      0.0651425312805316,
      0.0589954149252308,
      0.0533794741302059,
      0.0643128962142948,
      0.0712718782257612,
      0.0687852231745776,
      0.0627306145099418,
      0.0577844041394292,
      0.0495399541966425,
      0.0438478779192798,
      0.0560919836086557,
      0.0680802003087707,
      0.0566471728575598,
      0.0408776693972829,
      0.0365430403538285,
      0.0472497345869805,
      0.0629990674254544,
      0.076159280748584,
      0.0813473931467384,
      0.0797621053505725,
      0.0695886455508195,
      0.0507682354556744,
      0.0321954492984121,
      0.0241797234658837,
      0.0256091471228545,
      0.0299224075603768,
      0.040483267380064,
      0.0639158557378735,
      0.0792888804253951,
      0.0664923279633781,
      0.0499420693121033,
      0.0355933459207416,
      0.0269870130720804,
      0.0276815148461123,
      0.0397706506456081,
      0.0647386070989716,
      0.0854537062137022,
      0.0888687644819102,
      0.105942904705831,
      0.12158817174875,
      0.106992938778796,
      0.0915720993049966,
      0.0840771989990242,
      0.0794491390336823,
      0.0761554309560038,
      0.0850609803914827,
      0.106288143292498,
      0.106132643812289,
      0.0926882157052833,
      0.0928864152417076,
      0.0900958618043931,
      0.0866801170293059,
      0.0975956833752217,
      0.115263526466119,
      0.110282915790911,
      0.0905095895884481,
      0.0938447061628696,
      0.108682678917828,
      0.0947296048572993,
      0.0802552584130557,
      0.0848446523130296,
      0.0883270012047722,
      0.0680452421267954,
      0.0458593026588101,
      0.0406386182533636,
      0.0388670620799468,
      0.0327268249361677,
      0.0347895107746707,
      0.0496884050517925,
      0.0738105007001104,
      0.0846409576091611,
      0.0709073749512822,
      0.0577154667291227,
      0.049964995478273,
      0.042903155498874,
      0.0456961012179947,
      0.0604800905037323,
      0.091317936158731,
      0.105159479603279,
      0.0813580475065844,
      0.0686023044743278,
      0.0755887339275703,
      0.0808838977652643,
      0.0814539213213202,
      0.081713371515312,
      0.0753533234375692,
      0.0736044931572408,
      0.0858175181829913,
      0.0942126938136174,
      0.081182985845966,
      0.0631386534851894,
      0.0594610387089249,
      0.0672537403652614,
      0.0811281965638851,
      0.0884712148096674,
      0.0708210864745279,
      0.0514961873345315,
      0.0536056403333948,
      0.0764886757993778,
      0.0857797327098139,
      0.071493073116696,
      0.0755577294245035,
      0.111906117360267,
      0.150515235403644,
      0.136702991248996,
      0.113405880199404,
      0.10986215563453,
      0.110482236413655,
      0.105411328013777,
      0.100630589530863,
      0.102452019955158,
      0.110521089384497,
      0.116442640061208,
      0.126239141218422,
      0.136938686015423,
      0.121262994609515,
      0.0946109814905185,
      0.0814209974137122,
      0.0797509680633518,
      0.0841350908454368,
      0.0876130415813119,
      0.0930302923781573,
      0.103966944079732,
      0.106793512394019,
      0.0989729533102976,
      0.093920479041969,
      0.0995364773693184,
      0.104900313231434,
      0.0972468028925084,
      0.0992294795324262,
      0.116507476484907,
      0.11333096033319,
      0.0979759016967356,
      0.0924764218315568,
      0.0979865721434937,
      0.0963946754131388,
      0.0793469825614934,
      0.0777833888809778,
      0.0820079442548918,
      0.0910839650589351,
      0.11665718466409,
      0.109038088441989,
      0.0771140834090013,
      0.0699798168411895,
      0.0802646482725782,
      0.0989572368914943,
      0.120225186624991,
      0.123933228611893,
      0.096652400652527,
      0.0662163927320519,
      0.0666061405810699,
      0.104199789849543,
      0.124963429459318,
      0.107212061076273,
      0.114513133672809,
      0.133604866270277,
      0.134809781606434,
      0.1113708440588,
      0.0893976337872445,
      0.0887618266157193,
      0.110154851505152,
      0.141059863646179,
      0.134119608498714,
      0.104721881552022,
      0.100113867159689,
      0.103716190102866,
      0.106667669667039,
      0.107707951337353,
      0.0978267534918518,
      0.0924811965432256,
      0.0929478082076388,
      0.101830033038804,
      0.110944827325345,
      0.106032419373948,
      0.112304310911145,
      0.129495961200028,
      0.137020605428407,
      0.130650163146183,
      0.107022721283845,
      0.0850224533230893,
      0.080932758117755,
      0.100701347987789,
      0.130398060089439,
      0.124433453320577,
      0.0953249897762604,
      0.0855462962675057,
      0.0845915557506158,
      0.0794231704538985,
      0.0696958829298204,
      0.0593730014889289,
      0.0523137702177466,
      0.0467272126552819,
      0.0328005026040959,
      -2.59162752543366e-17,
      0.0052562434051142,
      0.0265710644799898,
      0.0552123549242511,
      0.0577795918398933,
      0.046638552492468,
      0.0473137711326197,
      0.0548956808890037,
      0.0541757614314177,
      0.0521155090249279,
      0.0541533567865902,
      0.0574080001351025,
      0.0607928164060844,
      0.0527449263262715,
      0.0459749595097289,
      0.0440028279480601,
      0.0391113284761404,
      0.0389262427190316,
      0.0395405619085242,
      0.0366004896455699,
      0.0369110394883767,
      0.0491533770705528,
      0.0715941392968191,
      0.0926670477028402,
      0.109382686153433,
      0.108049423816088,
      0.0838331994041042,
      0.06753561297448,
      0.0528616639450729,
      0.0420881953990288,
      0.0376967927163686,
      0.0327608897345845,
      0.0283769272456008,
      0.0335543478438405,
      0.052735665772583,
      0.0677163096915553,
      0.0591583076880681,
      0.0469774778362296,
      0.0347653350668101,
      0.0258532050921897,
      0.0245829480213778,
      0.0340577980346706,
      0.0551575547266735,
      0.071979264758167,
      0.0779052968452232,
      0.0942493021147557,
      0.107074053568037,
      0.0961688279266457,
      0.0765504858663131,
      0.0615679306164379,
      0.0583044976878207,
      0.062181460286041,
      0.0699959494185702,
      0.0873016918859218,
      0.0933786568186101,
      0.0849761249469709,
      0.080123109567201,
      0.0741818765484461,
      0.0751368501123794,
      0.0870154760775932,
      0.103715177987683,
      0.10301534551152,
      0.0850303904577228,
      0.0819331790787211,
      0.0879468051537733,
      0.0782809929967302,
      0.0779590058818499,
      0.0808178944366078,
      0.0717897576437642,
      0.0556659749958826,
      0.0410082206723293,
      0.0372495806076353,
      0.0409908650492732,
      0.0380839114787797,
      0.0328105226387178,
      0.0334826059359184,
      0.0405557329652724,
      0.0460579309358237,
      0.0408836049697206,
      0.0337869611155745,
      0.0329046931386303,
      0.0346876004025331,
      0.0397682810503377,
      0.0520210999467558,
      0.0842914933704347,
      0.0981831603289577,
      0.0727584054148725,
      0.0596928125384484,
      0.0596947047053794,
      0.0657851808180074,
      0.0765757728287079,
      0.0785967243848563,
      0.0716539307366479,
      0.0743206417811281,
      0.0840031524589392,
      0.0878018846309624,
      0.0801590593837058,
      0.068206437165723,
      0.0642046780271297,
      0.061170760867747,
      0.0596872274265094,
      0.0636415170196976,
      0.0591513001288131,
      0.0511412766792174,
      0.0547238687797302,
      0.0745956549936003,
      0.0856791171632376,
      0.0705761270982282,
      0.0687502897304554,
      0.102984349964998,
      0.143893898920228,
      0.135173142602588,
      0.107830382679364,
      0.0977449665301908,
      0.0991141861258532,
      0.0979708803267272,
      0.092105171918036,
      0.0926303359826613,
      0.109589241281489,
      0.122771720836065,
      0.128660839133585,
      0.142692026453285,
      0.129369372287112,
      0.0937054901542726,
      0.0747076306479444,
      0.0695090983442984,
      0.0744407881029309,
      0.0816583836026519,
      0.0861728877620769,
      0.0936247514381273,
      0.0976724535481077,
      0.0963456317683531,
      0.0928130320242418,
      0.0941126179344663,
      0.0956475332708453,
      0.083889062592018,
      0.0804716695721207,
      0.0973434574923462,
      0.0998774041487912,
      0.0876412985103533,
      0.0804991414266392,
      0.0836852983520421,
      0.0822024140619546,
      0.0709211271714183,
      0.0718691553061694,
      0.0749131748719194,
      0.0817935890582982,
      0.105696320182783,
      0.0998706578601184,
      0.0701384572066665,
      0.0615269525951552,
      0.0706864918841755,
      0.0904477948090164,
      0.108738805139134,
      0.114294797272053,
      0.0963032184492627,
      0.0677731077185347,
      0.0631026705704109,
      0.0991493897068778,
      0.124352315313624,
      0.104651012589975,
      0.106341058866355,
      0.124059019271475,
      0.122668673781375,
      0.0999191006241092,
      0.0818866890096985,
      0.0820958824974726,
      0.101769453732127,
      0.131310407803343,
      0.127471664163383,
      0.0969205972156326,
      0.0878300563759642,
      0.0914130309572277,
      0.0904456242353825,
      0.0857424037959822,
      0.0811030186102694,
      0.0810326734854377,
      0.0838561533153625,
      0.0934899784047839,
      0.103746046486947,
      0.100553303858202,
      0.104939300078698,
      0.120103131257505,
      0.123135031292699,
      0.114222564111718,
      0.0951820406604316,
      0.0759653002718839,
      0.0701536705909816,
      0.0815611838010973,
      0.101619966258229,
      0.102011319168637,
      0.0838761897426404,
      0.0728172142894815,
      0.0688910170782782,
      0.0671641163957981,
      0.0642721023368707,
      0.0554866094965429,
      0.044511912266798,
      0.0343720390987172,
      0.0222173522673284,
      -1.29581376271683e-17,
      0.00319442284252929,
      0.0202040560027828,
      0.0501569248864833,
      0.0626462500202118,
      0.0510567760162097,
      0.0405122134426895,
      0.0439536237634167,
      0.0534121286772704,
      0.0594425697218159,
      0.0572559352859624,
      0.0549505215207111,
      0.0563669083808125,
      0.0511254830759949,
      0.0508214808325555,
      0.0510667939186072,
      0.0425813235701259,
      0.0346498628209321,
      0.0329716277162877,
      0.0385110680820402,
      0.045110500376526,
      0.0596682455642734,
      0.0720598704289361,
      0.080069358490369,
      0.112991692771415,
      0.144155713767053,
      0.106459254960067,
      0.0670525112057607,
      0.0587473896475917,
      0.0654095134233378,
      0.0688703262595954,
      0.0523302932750381,
      0.0326306888784065,
      0.0312410894929512,
      0.0409298530928309,
      0.0549606199535082,
      0.0548226941826153,
      0.0470265654316538,
      0.0394245591947571,
      0.0290331224648386,
      0.0250770122563656,
      0.0322357581492979,
      0.0484837628846886,
      0.0625700238602013,
      0.0708207820763575,
      0.0859601956922158,
      0.0954165762656392,
      0.0832642892791059,
      0.0632901601442342,
      0.0490523114714056,
      0.0479576285228611,
      0.0533975056034931,
      0.0571983331137776,
      0.0698154570351424,
      0.0832758829195739,
      0.0810013427268462,
      0.0737118377685659,
      0.0678377980075572,
      0.0678468317953883,
      0.0777899984366038,
      0.0923167295512183,
      0.0917324171071126,
      0.0791021801938576,
      0.0743061488396474,
      0.0728667827827772,
      0.0648172916368701,
      0.0681345474073083,
      0.0721347627534626,
      0.065858425836576,
      0.0560407434181875,
      0.0483761892821468,
      0.0462336395962479,
      0.0500155322950878,
      0.0457469919765147,
      0.0334068659121325,
      0.0277127426199761,
      0.0335099062256057,
      0.03601423150041,
      0.0313686975292339,
      0.0287633095507674,
      0.0276132144891601,
      0.0271214267925461,
      0.0322033067735952,
      0.0471806182517613,
      0.0757098573413214,
      0.0857022633813976,
      0.0667299039478313,
      0.0572253344309859,
      0.0565393573081778,
      0.0620989521205846,
      0.0729846864981333,
      0.0715440103985856,
      0.0664540491475842,
      0.0742208663023877,
      0.0819157488095154,
      0.0847655299857745,
      0.0816344075243795,
      0.0757169998717648,
      0.0716675198325892,
      0.0598938225619732,
      0.0514354329035688,
      0.0570391005010559,
      0.0579869378997556,
      0.0525296165760892,
      0.0562787512106006,
      0.078339622628004,
      0.092781893273718,
      0.0733996882108817,
      0.0650211899533678,
      0.0893277218400611,
      0.120820730561827,
      0.119639483701223,
      0.10079633720764,
      0.0931212906662398,
      0.0988761228232353,
      0.098885638722708,
      0.0896859528883134,
      0.086816649832531,
      0.0993045841452739,
      0.11402058687566,
      0.117689163469036,
      0.123333619277685,
      0.114244783302167,
      0.0866065942232767,
      0.0704021531580074,
      0.0679069172072543,
      0.0754541682561294,
      0.0803570575631975,
      0.0796597622818991,
      0.0845982831541962,
      0.0878290864803817,
      0.0865501292269798,
      0.0838235676711823,
      0.0802079675004407,
      0.0755672190345048,
      0.0679908720732151,
      0.0682905864458162,
      0.0841827809314789,
      0.093586032314695,
      0.0831253671800409,
      0.0718469980186783,
      0.0737887734116438,
      0.07306868327426,
      0.0656358770171594,
      0.0633872905996021,
      0.0655278151001852,
      0.077762123468979,
      0.0956630318809467,
      0.085731256301018,
      0.0668642578461009,
      0.0628353293246133,
      0.0677407740161252,
      0.0795570698787511,
      0.0954009349385765,
      0.100074824851759,
      0.081966069951196,
      0.058905060385178,
      0.0602093416293719,
      0.0982831020566155,
      0.125465402184442,
      0.104815988063914,
      0.0999020679601627,
      0.11228117650284,
      0.113381817391405,
      0.0967854407803203,
      0.0801683114886668,
      0.0781048600370543,
      0.0933572168326396,
      0.114687423378405,
      0.110384459027931,
      0.0897332712704273,
      0.0854366648003323,
      0.0882170169789672,
      0.0860167986036274,
      0.0802613408181703,
      0.0728552034590953,
      0.0711315144804447,
      0.0756191192912804,
      0.0869751015909191,
      0.0983692124910186,
      0.0969207424368979,
      0.0983477101698045,
      0.106841406466132,
      0.107479980082963,
      0.0991766550534051,
      0.0818587587950557,
      0.0653120529961418,
      0.0596295027776012,
      0.0652219439444079,
      0.0796836227333282,
      0.0906048129899971,
      0.0857339977558656,
      0.0731074356068667,
      0.0627926990114477,
      0.0595260394844056,
      0.060366044921197,
      0.0545535402326542,
      0.0434383861180629,
      0.0310414668550656,
      0.0177418665136998,
      6.47906881358416e-18,
      0.00353895208138529,
      0.0203439401457464,
      0.0420472467219776,
      0.0547197910411533,
      0.0523501934060075,
      0.0462334730175724,
      0.046182067958048,
      0.0530431666610015,
      0.0596163932341792,
      0.0534828325078974,
      0.0486707606599268,
      0.049658542967129,
      0.0481310981017024,
      0.0479173118686101,
      0.0485878914087787,
      0.0498696034306512,
      0.046785795713653,
      0.0462684873265603,
      0.0606683956166756,
      0.0693268175314002,
      0.0685098073232691,
      0.060965428805144,
      0.057698945990403,
      0.0893231857498172,
      0.144891525791154,
      0.134535709797912,
      0.0905102499335568,
      0.0761594320686315,
      0.0754241456064846,
      0.0712294581023244,
      0.0557373391276486,
      0.0411451929883886,
      0.0394670090951792,
      0.043166559159119,
      0.0512222500894467,
      0.0530517964054841,
      0.048804202775074,
      0.0505807290770325,
      0.0406459754331933,
      0.0306635546298264,
      0.0324398884280476,
      0.0447344024262435,
      0.0618123922164941,
      0.0727312390318849,
      0.0843642272099238,
      0.0888365652106343,
      0.0734791280781794,
      0.0593418445101617,
      0.052342516571191,
      0.0513694319166868,
      0.053065040004346,
      0.0523941967714691,
      0.059621942830932,
      0.0767296466152812,
      0.0828071259536795,
      0.0758847284101418,
      0.0678950399095457,
      0.0632079227072007,
      0.0699230622198441,
      0.0815564354384124,
      0.0811114326611748,
      0.07464208826913,
      0.0699925322275262,
      0.0684380722786609,
      0.0662548952392181,
      0.0650531114419892,
      0.0627290992925777,
      0.0634217640575823,
      0.0583989362018797,
      0.0543670378133886,
      0.0628613526224843,
      0.0726857807652625,
      0.0596653177049732,
      0.0397683859375558,
      0.0364598739905906,
      0.0426978852929472,
      0.0412492336081608,
      0.0360430823849675,
      0.033460395683569,
      0.0294643269669009,
      0.0254651315813396,
      0.0288676934520082,
      0.0446034031870772,
      0.0642025081233973,
      0.068662868559239,
      0.062553305895639,
      0.0584513655461638,
      0.0613861763873313,
      0.0694008651398003,
      0.0756612573709536,
      0.0761513986890767,
      0.0785882838803482,
      0.0883978981682969,
      0.096332755346273,
      0.0985167024161311,
      0.0905037871599139,
      0.0783781933922677,
      0.0726698064218197,
      0.0626806868595987,
      0.0551037495859438,
      0.0585932804871402,
      0.054438197039957,
      0.0471307899118595,
      0.0560855538220939,
      0.0925901140117111,
      0.116149588072634,
      0.0879549467823782,
      0.0691966788278169,
      0.0813020138961987,
      0.105025775806333,
      0.106880194670064,
      0.0940246533259895,
      0.0913164452142748,
      0.0984885373256809,
      0.0976543129521046,
      0.086372455843175,
      0.0803517599305552,
      0.0877558568786813,
      0.102873510964792,
      0.110361258928388,
      0.107272828281703,
      0.0994044940040149,
      0.0842464239915098,
      0.0710555112193591,
      0.0688230605062082,
      0.0759362785452647,
      0.0778168731611038,
      0.0756162453330797,
      0.0787818064405274,
      0.0768730376245317,
      0.0717516824162327,
      0.0678226771533118,
      0.0662074971989043,
      0.0654212888476291,
      0.0647614059134839,
      0.0712337665635269,
      0.0871414842712161,
      0.0966825359614977,
      0.0870371813056808,
      0.0735750005874768,
      0.0727782488645059,
      0.0702507048744573,
      0.0613828689573753,
      0.0574932047925335,
      0.060136779624283,
      0.0724944666286912,
      0.0847973086143929,
      0.0766723408134761,
      0.065499417516897,
      0.0632413190338382,
      0.0677172211463958,
      0.0781463787043972,
      0.0949328527294942,
      0.100406278996452,
      0.0769482761693914,
      0.0535837787800044,
      0.0588016049835561,
      0.10012880980774,
      0.130657199601212,
      0.11040940281096,
      0.101004152775396,
      0.107942339292864,
      0.112243621864738,
      0.100439401008831,
      0.0813638746363692,
      0.0751740759628271,
      0.0856276205467214,
      0.101577159224501,
      0.0994366663584498,
      0.0866589830216302,
      0.0866967997099541,
      0.0908022578720477,
      0.0885829929695442,
      0.0808831592098918,
      0.0705634282110434,
      0.0667153794793266,
      0.0702792219358187,
      0.081346852810762,
      0.0950046931400349,
      0.0975361417954721,
      0.0948906037207689,
      0.0975589590742114,
      0.0984012056958508,
      0.0931980848254954,
      0.0800497444863003,
      0.0641025677709681,
      0.0557701120033512,
      0.0581457689314518,
      0.0720166515774697,
      0.0897628709848587,
      0.0938355345291517,
      0.082174155658546,
      0.0665225546454209,
      0.0607413580093065,
      0.0622806253401755,
      0.0596127371558667,
      0.0507410506951463,
      0.0364661800504492,
      0.0200434464799081,
      1.29581376271683e-17,
      0.00515220185485419,
      0.02771866980484,
      0.0443583254976688,
      0.0452414741416325,
      0.0469742521893418,
      0.0546495669093191,
      0.0631343430569801,
      0.0628730909677145,
      0.0554090566751534,
      0.047938333547027,
      0.0470222425228763,
      0.0448112268717736,
      0.0527961493037346,
      0.0642170598128931,
      0.0581847113346108,
      0.058992693820659,
      0.065965195575721,
      0.0699689631834182,
      0.0932957674154247,
      0.104650084716723,
      0.0801942008024788,
      0.0523844223273351,
      0.0506848127370364,
      0.0752042690305753,
      0.117708333877662,
      0.14379546591865,
      0.118616117171917,
      0.0764053752952106,
      0.0530634454122967,
      0.0458765098324662,
      0.0531253494067882,
      0.0649832751974729,
      0.0721762911007741,
      0.0655620078823737,
      0.0554801250298605,
      0.0695980283949048,
      0.0875753017075253,
      0.0889256988582947,
      0.0654572015861009,
      0.0455610543630494,
      0.0418563638412425,
      0.0521238727804984,
      0.0714181036120683,
      0.0843064882831329,
      0.0920564359942153,
      0.094239923831997,
      0.0782406048974837,
      0.0627528407173621,
      0.0631492393551845,
      0.066533690133897,
      0.0635848392468583,
      0.062789689698178,
      0.07303988374143,
      0.0890422720525531,
      0.0985551759831391,
      0.0927396655827988,
      0.0759472064562839,
      0.0643908606336228,
      0.0695764725637272,
      0.0786941451492037,
      0.0770148961217049,
      0.0713158849933347,
      0.0682100983150711,
      0.0763667199310766,
      0.0832506632155992,
      0.0737562880207112,
      0.0599422828010977,
      0.0542880367664692,
      0.0521973333796429,
      0.0718246058433205,
      0.106341124502005,
      0.126772485732512,
      0.0986257457341691,
      0.0649739442298443,
      0.0662746270298304,
      0.0706372649894781,
      0.0592630423178205,
      0.0523277368346062,
      0.0496234880409577,
      0.0437682400858728,
      0.0377749103079429,
      0.0381207759330239,
      0.0501111335050346,
      0.0676096229290769,
      0.0723637146286412,
      0.0720989845782477,
      0.0674378040507497,
      0.0721131752936303,
      0.0916372509966899,
      0.0966940894680015,
      0.0935919708499343,
      0.0991831158817636,
      0.106492794821876,
      0.118504635183737,
      0.128129384841751,
      0.116873546496218,
      0.0892943505787414,
      0.0753211351967741,
      0.0752048326267632,
      0.0753292576150482,
      0.0816705438126672,
      0.065693214157242,
      0.0484216621459263,
      0.0681257530750569,
      0.128779045438774,
      0.155743523730973,
      0.103983528664603,
      0.072159921028846,
      0.0828999056094867,
      0.113114978520097,
      0.115327746959236,
      0.0975297935636993,
      0.0930073868859027,
      0.0979087768871647,
      0.0953214103473311,
      0.0864299203848634,
      0.0816599332856299,
      0.0873251333522767,
      0.100648253581447,
      0.106366742025747,
      0.0995057823627573,
      0.0994156729733058,
      0.0928184051161292,
      0.0781408419947199,
      0.0762750116026252,
      0.0842803139588975,
      0.0876170364259292,
      0.086215177137203,
      0.0838509812443254,
      0.0732996631383636,
      0.0619252646832907,
      0.059795640212494,
      0.0636993428723743,
      0.0674378891546841,
      0.0747501641345466,
      0.0887847098290196,
      0.104164803465443,
      0.109678794065905,
      0.101141896605253,
      0.0852575953838041,
      0.0796353188040135,
      0.080273640660413,
      0.0760108500467911,
      0.0674102876308529,
      0.0657477766798223,
      0.0761334079051462,
      0.0835045999630298,
      0.0785129570930356,
      0.0671300339371158,
      0.0604223451024051,
      0.0675314692601175,
      0.0815894748020883,
      0.0964141966287142,
      0.102690570184061,
      0.077558725552079,
      0.0530377357475442,
      0.0629788543664776,
      0.111601664153048,
      0.145564953151646,
      0.123000009865978,
      0.109775972285112,
      0.113933575104329,
      0.117290715806569,
      0.10412734396632,
      0.0829172551849078,
      0.0760247936780582,
      0.0857175721948627,
      0.100027532435285,
      0.102977091019165,
      0.09441579278471,
      0.0922177611682034,
      0.0940090740671079,
      0.0905180164028318,
      0.0839586515743893,
      0.076479159406538,
      0.0721524241550492,
      0.073266834247415,
      0.082941106821783,
      0.100508267019389,
      0.108700228143588,
      0.101521295055039,
      0.0962058969316764,
      0.095878197390534,
      0.0936416293109984,
      0.0835636567437706,
      0.0654498342153607,
      0.0546917727771923,
      0.0573143978944476,
      0.0741453957216348,
      0.102505658732518,
      0.113042042317836,
      0.0971855419400051,
      0.0838997238644605,
      0.0864043800453632,
      0.0847414589856248,
      0.0793347290255227,
      0.0765608937718641,
      0.0598755260618801,
      0.0313261044718761,
      1.29581376271683e-17,
      0.00742738588753632,
      0.0397675583655735,
      0.0591832121830151,
      0.0464725511679079,
      0.0448184272900151,
      0.0557400681561647,
      0.0753260469169692,
      0.0842876062558488,
      0.0665813510515799,
      0.0569666986562365,
      0.0572351646347445,
      0.0521645821002978,
      0.0777432456687046,
      0.105509483984037,
      0.0822082195604644,
      0.0658784631899902,
      0.0857392699991696,
      0.104689417871263,
      0.115709298515863,
      0.105999167103553,
      0.067682312275902,
      0.0373664186370849,
      0.0402516797505326,
      0.0629109535439975,
      0.0862412026014559,
      0.108021631773408,
      0.0943120463055021,
      0.0575322862352153,
      0.0394730308350819,
      0.032813056608003,
      0.0382543363398914,
      0.0660942595103313,
      0.103469493104349,
      0.104875029332362,
      0.0908433484037947,
      0.121087291618738,
      0.149997455049372,
      0.111497485730556,
      0.0671932781050815,
      0.0622337834173807,
      0.0697320451062339,
      0.082309137569482,
      0.0950192581118722,
      0.110163177329063,
      0.119787671957162,
      0.117516001131578,
      0.0954137298993949,
      0.0716370943628774,
      0.0788612958103455,
      0.0890141629620173,
      0.0807484900601294,
      0.0857284490348954,
      0.107021504922565,
      0.111939126886353,
      0.112605621676383,
      0.116574842228586,
      0.0964939186069549,
      0.0739216070810616,
      0.0780577035770496,
      0.0873734955193334,
      0.0837027253469784,
      0.0757256218033915,
      0.0787808779102473,
      0.0989819516936082,
      0.101902191550036,
      0.0810554491536039,
      0.0670748134710541,
      0.0613171982651349,
      0.0583861121137491,
      0.0831633999844694,
      0.104725017966161,
      0.086397004538244,
      0.0603088815935593,
      0.0714105497479675,
      0.109460318558662,
      0.118424133937123,
      0.0942813185778805,
      0.0902127296016926,
      0.0965023784575477,
      0.09129370644303,
      0.0773612445546806,
      0.0704431041023188,
      0.0793368657840652,
      0.105740675124272,
      0.1084412628761,
      0.0916497231129348,
      0.088897962648313,
      0.0994364319399146,
      0.122742504408799,
      0.123430665495354,
      0.100325442736736,
      0.0901706919583782,
      0.0946289347454484,
      0.120157350388131,
      0.144608106907583,
      0.127946995576532,
      0.0969560297866852,
      0.092136826916777,
      0.107113119914435,
      0.120759484570172,
      0.132727249620567,
      0.100080433923324,
      0.0667412215002783,
      0.0862878151554994,
      0.146463866914622,
      0.155018199143216,
      0.093124317955434,
      0.0730027022224097,
      0.0921011656185684,
      0.12302378605336,
      0.124980179327339,
      0.106467693992668,
      0.101905463205231,
      0.105433494661967,
      0.100827087349513,
      0.0954198919304491,
      0.0918045720978952,
      0.0902026233454533,
      0.0961910394003258,
      0.0986012245574767,
      0.0931592241232617,
      0.100152458092373,
      0.103519773776085,
      0.0920508800363451,
      0.0890039170904659,
      0.101461511641755,
      0.120062539564506,
      0.12146231278493,
      0.104637375439935,
      0.0825717265412872,
      0.062720580211488,
      0.0680158145679929,
      0.0815062326689869,
      0.0831388028679423,
      0.0919635911912999,
      0.113592505743015,
      0.131382391815673,
      0.135006288666936,
      0.128697472008262,
      0.113251659841257,
      0.101298332430106,
      0.10335824759523,
      0.103166301726921,
      0.0856258791504309,
      0.0801984771495472,
      0.0952444228892449,
      0.102030951831525,
      0.0952111548885674,
      0.0773705409610972,
      0.0618200436437109,
      0.069372764650752,
      0.0896303172307658,
      0.100738458441877,
      0.0983008742642934,
      0.075154076266275,
      0.0569215606730652,
      0.0737298266966151,
      0.126346060835677,
      0.154004783751989,
      0.128115493749052,
      0.11995535616377,
      0.12794396336901,
      0.123917244288767,
      0.104023863010921,
      0.0860497017261364,
      0.0812492007660861,
      0.0900723409506202,
      0.109851740439511,
      0.123724472194973,
      0.115110735066909,
      0.107400847911956,
      0.108108687374424,
      0.106464080646693,
      0.101348624729106,
      0.0919676954802712,
      0.0823249943378926,
      0.0842389389683722,
      0.105732801675796,
      0.12608858093909,
      0.122854245567111,
      0.111310538045115,
      0.106699062480211,
      0.104334226067271,
      0.0992555664794956,
      0.0861636952021424,
      0.0666449022618441,
      0.0571192356140965,
      0.0633566236216355,
      0.0865185309875717,
      0.116239723881518,
      0.126934018418674,
      0.121087209177149,
      0.123122630754773,
      0.133063031269826,
      0.119779138204675,
      0.0988863531435087,
      0.0990488333025171,
      0.0891550662235794,
      0.0512708698078824,
      -2.59162752543366e-17,
      0.00791218811787616,
      0.0478362951524859,
      0.0785875134836118,
      0.0596227343811457,
      0.0503601035591607,
      0.0575819651893393,
      0.0776525617645169,
      0.0968255259053092,
      0.0871585264120331,
      0.0858569597865922,
      0.0807275752893325,
      0.076564406890499,
      0.10471303513324,
      0.118154155290734,
      0.0882390252837232,
      0.0642850254246714,
      0.0804650105232526,
      0.113057396861893,
      0.109466532959676,
      0.0711706535491963,
      0.0403369925709014,
      0.0270715404619436,
      0.0328263244871872,
      0.0517888558695221,
      0.0675833724945708,
      0.0703016408358812,
      0.0574581037092476,
      0.0396844898981802,
      0.0318718011457086,
      0.0298450441980144,
      0.0308376436980964,
      0.0408909196452992,
      0.0678414027236098,
      0.107780886533098,
      0.128057876330662,
      0.113145493040125,
      0.098120146408526,
      0.0645747171390884,
      0.0462086405648477,
      0.0602776184822559,
      0.0867710499281425,
      0.1144165559314,
      0.119214951022689,
      0.118732181782342,
      0.140565272157005,
      0.150749531464479,
      0.12175736767856,
      0.0985349599307865,
      0.100526113425032,
      0.100122303842294,
      0.094093444656501,
      0.111196561194752,
      0.139363601271308,
      0.12987252697671,
      0.120244688393936,
      0.14138026971972,
      0.121926868215838,
      0.0887489619109963,
      0.0891668210946061,
      0.102914483517089,
      0.100775015878155,
      0.0870854413446719,
      0.100911651245924,
      0.129914699630606,
      0.118234203273955,
      0.089951589115892,
      0.0902082914322527,
      0.105478101212136,
      0.0958441054149508,
      0.0797885944708571,
      0.0688199937736129,
      0.0491761799286657,
      0.0344892716846153,
      0.0547636168900182,
      0.100501023855628,
      0.134899811543502,
      0.137630185996859,
      0.123902920481546,
      0.123669033018466,
      0.116948836515307,
      0.0923094148999852,
      0.0889403336601971,
      0.110257582708356,
      0.150229099773686,
      0.147349265938296,
      0.104328057342996,
      0.10330770519951,
      0.117835285105163,
      0.120148841476858,
      0.108714402058859,
      0.0856616496550495,
      0.0668560985037844,
      0.0690182473920271,
      0.0963242971917229,
      0.116569831876517,
      0.0991296101169756,
      0.088164006239163,
      0.0934836170530381,
      0.104506343500648,
      0.126413551808557,
      0.133956828953091,
      0.101449943776469,
      0.0764663005783211,
      0.0823179970117779,
      0.111648878705025,
      0.114910394340799,
      0.0782339582470396,
      0.0737214251152802,
      0.100086006112506,
      0.12623530036138,
      0.120917594798633,
      0.105243009994044,
      0.105476358169594,
      0.113404735538869,
      0.108412222971053,
      0.10329185572584,
      0.102935866514966,
      0.093874243636544,
      0.0920168797704469,
      0.0953724986262469,
      0.093580373424431,
      0.097860812173804,
      0.100692021099447,
      0.0960109789748742,
      0.0901610731537185,
      0.0984088548516701,
      0.124130393186019,
      0.138564960172929,
      0.13571347323396,
      0.112456871380605,
      0.0785207136313907,
      0.0873664343945746,
      0.111964558198715,
      0.110963985852516,
      0.110865787935002,
      0.125769605870058,
      0.142411907670549,
      0.140513043687638,
      0.127637451666687,
      0.123859836022081,
      0.12370852015526,
      0.11879874071297,
      0.107534900051262,
      0.0918986697644606,
      0.0904339928645238,
      0.112839592740335,
      0.142022709190273,
      0.136818540662594,
      0.0986489570704979,
      0.0758082523970842,
      0.0867261117399765,
      0.109668779115127,
      0.121224890455547,
      0.112502500988014,
      0.0869652156368845,
      0.0712129558092907,
      0.0823060651230882,
      0.119891165954336,
      0.13555426370919,
      0.119166229113897,
      0.125022178579158,
      0.140120786294904,
      0.137723199182835,
      0.113498731028937,
      0.0909418243369822,
      0.0868400287490242,
      0.104122939825708,
      0.139014521841153,
      0.143082395449137,
      0.118218832634151,
      0.118682078350092,
      0.125350124710371,
      0.132195210009431,
      0.130823461304468,
      0.106558774404455,
      0.0896073421940076,
      0.09240309903021,
      0.113249170111565,
      0.124961018486451,
      0.11098231910567,
      0.112919636844606,
      0.129920452713844,
      0.12753319345237,
      0.117936021707037,
      0.103655864363887,
      0.0791552473401776,
      0.0679068121367256,
      0.0806266976780706,
      0.110975028658501,
      0.12138943280868,
      0.108997439707733,
      0.115766104041452,
      0.130069409489593,
      0.135454604528903,
      0.126611369959246,
      0.097442310766035,
      0.0845779286528121,
      0.0872038294014508,
      0.0606699476703152,
      0,
      0.00381459558879088,
      0.0377860704878188,
      0.0823631611507186,
      0.0726750002902645,
      0.0478245474875664,
      0.0476277181080235,
      0.0640048167796631,
      0.0767670471216162,
      0.0903733567582124,
      0.108709648664133,
      0.0969381797748794,
      0.0936349320788636,
      0.0944198326006036,
      0.078174040390917,
      0.0634319010208801,
      0.0525836502612685,
      0.0545608063305356,
      0.066479478716817,
      0.0648530516540823,
      0.0425933295714643,
      0.0292260038406546,
      0.0327164280308282,
      0.0424177437466563,
      0.0551139210130654,
      0.0645403112291865,
      0.0634841294719751,
      0.0506770509200044,
      0.0355537718939947,
      0.0289950324006921,
      0.031703859469746,
      0.0336508603927263,
      0.0324075098554039,
      0.0481745681056302,
      0.101943208388647,
      0.128172159082984,
      0.0825629147911018,
      0.0489329335278825,
      0.0315412753315927,
      0.0254611667678475,
      0.0341508838585168,
      0.0551274161042717,
      0.0910431069957326,
      0.112705524680483,
      0.100727879614817,
      0.125464618961307,
      0.153035432469917,
      0.122467561753716,
      0.100626746409718,
      0.0902548515168309,
      0.0797828073349881,
      0.0730873533277022,
      0.0829975677338293,
      0.111329782171188,
      0.111052046100094,
      0.101924570091941,
      0.111879287902447,
      0.102394046198707,
      0.0892413817154238,
      0.0967347905279858,
      0.118048540554778,
      0.116102932981718,
      0.0999922951699025,
      0.123436301068811,
      0.142670014085312,
      0.116628762997327,
      0.0985709273778095,
      0.101677353830477,
      0.10682518360803,
      0.085904297888087,
      0.0537314004626422,
      0.0380951415681638,
      0.0379391292376797,
      0.0340077692486884,
      0.0347079801407435,
      0.0484110077908474,
      0.0773857215199723,
      0.100161294157793,
      0.0892107352105467,
      0.0834625735991295,
      0.0737362577705585,
      0.052541022820457,
      0.05504269102244,
      0.0793555947380703,
      0.113925359827282,
      0.113869704818709,
      0.0817787076373923,
      0.0809087346766822,
      0.0973773426634226,
      0.0938496634638425,
      0.0784628216124927,
      0.0663498255760189,
      0.0564874013368561,
      0.058253725071592,
      0.0739012154989433,
      0.0822201102693072,
      0.0704181911310019,
      0.0678581579498757,
      0.0670218181951596,
      0.0671840789395907,
      0.086620434714616,
      0.0908486254720905,
      0.0680977836364572,
      0.0556061870176625,
      0.0575122242720551,
      0.0783296846160034,
      0.0933353783053186,
      0.0744371018467774,
      0.0735005218535007,
      0.10741059442664,
      0.137870635221419,
      0.122267662968235,
      0.0997526126363082,
      0.0965055472516853,
      0.102391185639128,
      0.104359137029915,
      0.10452907015342,
      0.103114835696436,
      0.0959483198954079,
      0.0963237004100688,
      0.103503645907573,
      0.105620893340514,
      0.0960578587494948,
      0.08407605465917,
      0.079949484968741,
      0.0734131822860662,
      0.0723962740528802,
      0.0848860787223206,
      0.107428754106103,
      0.127171155423308,
      0.122103848816978,
      0.10169861516643,
      0.0958945500266026,
      0.106253141857737,
      0.11334944168542,
      0.105635541340458,
      0.0990810434027069,
      0.109563367407866,
      0.107126445896853,
      0.0932943959486524,
      0.0952868955762178,
      0.10453791786959,
      0.0971682127784085,
      0.0795232020380843,
      0.0750688513893136,
      0.07423231911391,
      0.0842876999521616,
      0.133609432819892,
      0.142905441630767,
      0.0996855964638488,
      0.0921159798353177,
      0.112187040614905,
      0.130323201426168,
      0.135648100850389,
      0.126757952869932,
      0.102852724433673,
      0.0797807619852104,
      0.0746951194536418,
      0.0994562553708025,
      0.119190035058482,
      0.111155567663957,
      0.11498586608485,
      0.128137686749641,
      0.133874814031703,
      0.113235709113066,
      0.0888560358218743,
      0.0915966496950831,
      0.120394526801858,
      0.15599753651144,
      0.139861957345255,
      0.101587207602934,
      0.104165381331424,
      0.109843080418798,
      0.122240823247692,
      0.131072363867882,
      0.102651567282484,
      0.0834106139756002,
      0.0820268620845176,
      0.087171526996527,
      0.0955160700622525,
      0.0918605361585205,
      0.107380393300384,
      0.135538327972103,
      0.137104453504824,
      0.137853987968548,
      0.124044318896077,
      0.0931444841449586,
      0.0818310454090289,
      0.100644113630068,
      0.137075427347512,
      0.127010894478197,
      0.0877988701509105,
      0.0883440821792959,
      0.0973621241899219,
      0.0951002751439814,
      0.0910049571523513,
      0.0718064899758167,
      0.0545667932185993,
      0.0526592935080997,
      0.0383955875951549,
      -2.59162752543366e-17,
      0.00213303999077812,
      0.0266936633578738,
      0.0645970253331605,
      0.0685456138649082,
      0.046628713893072,
      0.0379118023311632,
      0.046501034594834,
      0.053090056925415,
      0.0726077325095736,
      0.0869088994254089,
      0.080382353904909,
      0.0833581030170652,
      0.0648872464331912,
      0.0455223309382291,
      0.0433621521972577,
      0.0391000307560426,
      0.0359539442927073,
      0.0343155060215811,
      0.0349957879170886,
      0.0310431496608421,
      0.0356143565385126,
      0.0507907674362106,
      0.0642368277386467,
      0.0768987916991622,
      0.0791743657888563,
      0.0636118194725412,
      0.0461990293439221,
      0.0357965909388831,
      0.0334253966080049,
      0.0359916302628196,
      0.0349759659290524,
      0.0323765691098351,
      0.0416930616581893,
      0.0638151921769618,
      0.0724359513076206,
      0.0525280523303903,
      0.0349753078813619,
      0.0246562985651041,
      0.019302846236475,
      0.0220140355149845,
      0.0363467948353219,
      0.0625554190434916,
      0.0806913253731976,
      0.0803087560082222,
      0.101734001725597,
      0.122580509194452,
      0.0998812615695998,
      0.0785605873170317,
      0.0644117450756019,
      0.0567354462980241,
      0.0543906038173748,
      0.0563752719092285,
      0.0697976633340451,
      0.0774456811507458,
      0.0802998003791914,
      0.0830899600755079,
      0.0781447322577459,
      0.0759390946117768,
      0.0884511157120729,
      0.111627300428558,
      0.111508841595972,
      0.092537426387385,
      0.10163637320483,
      0.106911933564064,
      0.0851428892475798,
      0.0785992889654098,
      0.0819698512466293,
      0.0819941158262233,
      0.0585176473565047,
      0.0341492643560716,
      0.0304259117229664,
      0.0345480373061913,
      0.0310967265464734,
      0.0263672947806082,
      0.0301874357995781,
      0.0414462668422255,
      0.0440390740238215,
      0.0384113622964838,
      0.0376065439892131,
      0.0335849068450116,
      0.027699117139265,
      0.02870336592091,
      0.0403072748438066,
      0.0600318388236541,
      0.0683198074075501,
      0.0618711657325126,
      0.06383961819734,
      0.074373695938379,
      0.0763089859925753,
      0.067566545985941,
      0.0568765350604451,
      0.0509472153208112,
      0.0547581631176857,
      0.065429957488321,
      0.070556714543036,
      0.0639392300475974,
      0.0576416853469389,
      0.0512120365923734,
      0.0475264529420269,
      0.0550239997875418,
      0.0575322658917127,
      0.0486669166636278,
      0.0422209664711453,
      0.0438972515001252,
      0.0625606225195448,
      0.0815559022700528,
      0.0702804242089086,
      0.0666057682361132,
      0.0992563387016976,
      0.141014134678251,
      0.127411229331,
      0.0925217904588022,
      0.0825741604243997,
      0.0888149804401004,
      0.099830771446562,
      0.0986879569814175,
      0.0897611353462984,
      0.0940522014908012,
      0.105259043670348,
      0.117470091154181,
      0.127087532028412,
      0.104760007165754,
      0.0744960815053641,
      0.0654709226246129,
      0.0624965396825897,
      0.0628327992996166,
      0.0687858794702027,
      0.0830018602034744,
      0.0973577428896359,
      0.103876078301379,
      0.110230073291476,
      0.10114715991195,
      0.0871987178468212,
      0.0853604220429442,
      0.0746042268270262,
      0.067789533552821,
      0.0816748129356502,
      0.0844155212594416,
      0.0744678644047735,
      0.0711278544461392,
      0.0779658606446475,
      0.0759183469235038,
      0.0646489339030615,
      0.0617506499078942,
      0.0611927847327036,
      0.0730369105232503,
      0.113782700409206,
      0.114101927139201,
      0.0781164448824502,
      0.0744397863266116,
      0.0915888221528347,
      0.111630531607138,
      0.124056955918271,
      0.120752339451767,
      0.0949976750797864,
      0.0670273667678657,
      0.0586309393783601,
      0.0831562648522542,
      0.109593172311517,
      0.100238458536695,
      0.0967966854363672,
      0.111833136170596,
      0.118038606797154,
      0.0952217271463683,
      0.0727807872839474,
      0.075682272613549,
      0.0982267600622441,
      0.122900804845692,
      0.112130084008741,
      0.084954031218386,
      0.0867224692819239,
      0.0913950236386616,
      0.0893738739656045,
      0.0876580934611741,
      0.0737818760197413,
      0.0654044335544846,
      0.0656405728941038,
      0.0697346012733148,
      0.0804723745296555,
      0.0831305831349398,
      0.0908682586983886,
      0.109029213760285,
      0.115558366972397,
      0.119298424739661,
      0.102477902041438,
      0.0807041689276487,
      0.0760031527632163,
      0.0896313469619757,
      0.120019248631065,
      0.112729134476968,
      0.0786972281920411,
      0.0702787531858802,
      0.067949422282175,
      0.0641846627699308,
      0.0637322914676792,
      0.0544153617026112,
      0.0405407269266051,
      0.0331334486779178,
      0.021955845852433,
      3.88744128815049e-17,
      0.00143438679269385,
      0.0166263605667286,
      0.0450324111456995,
      0.0612852039701492,
      0.048557326544187,
      0.0323579841984531,
      0.0299882161870596,
      0.0350005460523085,
      0.049796490337308,
      0.0563971369699343,
      0.056848612228393,
      0.0610522090741042,
      0.0475731242461981,
      0.0365168232444106,
      0.0365685768667468,
      0.0336798545161137,
      0.0285087673321559,
      0.0269551983115418,
      0.0318888825647017,
      0.033941603000688,
      0.0465489250243705,
      0.0611115241570684,
      0.0679740907290995,
      0.0920151320752449,
      0.113914408219744,
      0.083667680789469,
      0.0508347702620992,
      0.0410738332525942,
      0.040797206135613,
      0.0414425006377362,
      0.0346647588374952,
      0.0297984848957983,
      0.0370132698420767,
      0.0438113018044502,
      0.0428436942512671,
      0.0356579572732911,
      0.0300430450111454,
      0.0260861231916709,
      0.0213067147175921,
      0.0204914902039224,
      0.0304234626249242,
      0.0460776129691601,
      0.0564406528370708,
      0.0649448948470721,
      0.081030522625875,
      0.0935876713792562,
      0.0804316600632683,
      0.0604457647915074,
      0.0466092708120137,
      0.043392213711072,
      0.0448360772059129,
      0.0463034619277505,
      0.0543885985323413,
      0.0660828627164785,
      0.0737871883357967,
      0.0709635053460958,
      0.0650158967526866,
      0.065654685626389,
      0.0734063005521692,
      0.0882653160350724,
      0.0931662784483073,
      0.078521309380624,
      0.073013354562403,
      0.074472448552323,
      0.0642117763638228,
      0.0606075349243644,
      0.0605096001830519,
      0.0569436542628387,
      0.0437160000922941,
      0.0332159877288493,
      0.0363309693835662,
      0.036730459927121,
      0.0281630594612075,
      0.0221567109644005,
      0.0244002820283252,
      0.0325747919609561,
      0.0307949006385786,
      0.0250674970773542,
      0.0226077008393088,
      0.0204988511305125,
      0.0200982545975882,
      0.0226080919900501,
      0.0324147417450743,
      0.0452338949563795,
      0.0530156739396283,
      0.0542832382020282,
      0.0560235141238737,
      0.0630856897309876,
      0.0698761921724574,
      0.066119617542433,
      0.0554048904623274,
      0.0501127743031778,
      0.0540314534198719,
      0.0611010157701507,
      0.0703429734668416,
      0.0707329490934722,
      0.0629285584856016,
      0.0553166093792849,
      0.0490486813847712,
      0.0493603342043429,
      0.0496669322657365,
      0.0475031362731148,
      0.0423379215321775,
      0.0412169623397308,
      0.0568356214400999,
      0.0739749968687642,
      0.0648858771351185,
      0.0620821150799608,
      0.0908866167520331,
      0.123224546253428,
      0.111679490016959,
      0.0856936144057808,
      0.0767919101925282,
      0.0824420996487429,
      0.090355944858453,
      0.0866301481651988,
      0.0830819911532386,
      0.0948087025356425,
      0.106264820322266,
      0.111287208654806,
      0.117558905998121,
      0.101136453930771,
      0.073153458264269,
      0.0625584968873717,
      0.0601821020586849,
      0.0620985661989369,
      0.0649656733685397,
      0.0724506244932386,
      0.0801296257368572,
      0.0791599556586031,
      0.0853787290247439,
      0.0846754653348233,
      0.0721977926529686,
      0.0628815880001045,
      0.0548184508500126,
      0.05466491373622,
      0.0689745692388363,
      0.0766384492465067,
      0.0682051914754506,
      0.0596632197935208,
      0.0648902739742935,
      0.0676785979761286,
      0.0600024138077869,
      0.0547192520409684,
      0.055028611368772,
      0.0679090265650852,
      0.0894561739239304,
      0.0845749026315664,
      0.0637841885291885,
      0.0590819329042327,
      0.0679529182956551,
      0.080965781668381,
      0.0934306841087261,
      0.0958258439836337,
      0.0765384721903334,
      0.0539151074949838,
      0.0500388061390219,
      0.0771123927926312,
      0.102959199802355,
      0.0904983459408889,
      0.0821013331835697,
      0.0940251697174745,
      0.0991922343737818,
      0.0801869513166518,
      0.0650586838069334,
      0.0679359358125263,
      0.082258500830753,
      0.0958736303115967,
      0.0911129114533148,
      0.0768758128982675,
      0.0768827355471478,
      0.0834010562785356,
      0.0809044053877148,
      0.0740281485829809,
      0.0623365277617277,
      0.0568709855037779,
      0.0586438817166956,
      0.0649055985077699,
      0.077488202644214,
      0.0810520297314124,
      0.0820201159445104,
      0.0921970097638655,
      0.0966629781048966,
      0.0904853336490904,
      0.073525375382708,
      0.0596492322361757,
      0.0570051505802444,
      0.0633205319083283,
      0.0774018602392933,
      0.0842499501000843,
      0.07530730776926,
      0.0639842843105014,
      0.0577860435463856,
      0.0545962103796766,
      0.0535960973680654,
      0.047992075852678,
      0.0372223818431504,
      0.0273695867589596,
      0.0167272529117582
    ],
    "downbeat_timestamps": [
      0.348299319727891,
      1.74149659863946,
      3.15791383219955,
      4.59755102040816,
      5.99074829931973,
      7.38394557823129,
      8.77714285714286,
      10.1703401360544,
      11.5867573696145,
      13.0031746031746,
      14.3963718820862,
      15.8360090702948,
      17.1827664399093,
      18.5991836734694,
      19.992380952381,
      21.3855782312925,
      22.7787755102041,
      24.1487528344671,
      25.5187301587302,
      26.8654875283447,
      28.2586848072562,
      29.6518820861678,
      31.0218594104308,
      32.4150566893424,
      33.7850340136054,
      35.178231292517,
      36.5714285714286,
      37.9646258503401,
      39.3810430839002,
      40.7742403628118,
      42.1442176870748,
      43.5374149659864,
      44.9538321995465,
      46.347029478458,
      47.7634467120181,
      49.1334240362812,
      50.5730612244898,
      51.9894784580499,
      53.3594557823129,
      54.7526530612245,
      56.1690702947846,
      57.5622675736961,
      58.9786848072562,
      60.3486621315193,
      61.7650793650794,
      63.1814965986395,
      64.574693877551,
      65.9911111111111,
      67.4075283446712,
      68.8007256235828,
      70.2171428571429,
      71.6103401360544,
      73.0267573696145,
      74.4431746031746,
      75.8131519274376,
      77.2063492063492,
      78.5995464852608,
      79.9927437641723,
      81.3859410430839,
      82.7791383219955,
      84.1955555555556,
      85.5887528344671,
      86.9819501133787,
      88.3751473922902,
      89.7915646258503,
      91.1847619047619,
      92.5779591836735,
      93.971156462585,
      95.3875736961451,
      96.7807709750567,
      98.1739682539683,
      99.5439455782313,
      100.937142857143,
      102.330340136054,
      103.723537414966,
      105.116734693878,
      106.509931972789,
      107.903129251701,
      109.319546485261,
      110.712743764172,
      112.105941043084,
      113.499138321995,
      114.892335600907,
      116.26231292517,
      117.725170068027,
      119.09514739229,
      120.51156462585,
      121.92798185941,
      123.321179138322,
      124.714376417234,
      126.130793650794,
      127.523990929705,
      128.986848072562,
      130.380045351474,
      131.796462585034,
      133.189659863946,
      134.582857142857,
      135.976054421769,
      137.36925170068,
      138.762448979592,
      140.2020861678,
      141.595283446712,
      143.011700680272,
      144.404897959184,
      145.821315192744,
      147.214512471655,
      148.607709750567,
      150.000907029478,
      151.417324263039,
      152.81052154195,
      154.203718820862,
      155.596916099773,
      157.036553287982,
      158.406530612245,
      159.822947845805,
      161.239365079365,
      162.632562358277,
      164.025759637188,
      165.465396825397,
      166.881814058957,
      168.275011337868,
      169.644988662132,
      171.061405895692,
      172.431383219955,
      173.871020408163,
      175.240997732426,
      176.657414965986,
      178.050612244898,
      179.467029478458,
      180.86022675737,
      182.27664399093,
      183.646621315193,
      185.086258503401,
      186.479455782313,
      187.872653061224,
      189.265850340136,
      190.682267573696,
      192.052244897959,
      193.468662131519,
      194.838639455782,
      196.278276643991,
      197.671473922902,
      199.087891156463,
      200.481088435374,
      201.920725623583,
      203.313922902494,
      204.707120181406,
      206.077097505669,
      207.516734693878,
      208.886712018141,
      210.279909297052
    ],
    "per_beat_energy": [
      0,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.3594,
      0.3594,
      0.0688,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.4117,
      0.4117,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.8948,
      0.7801,
      0.7801,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.5358,
      0.5269,
      0.5269,
      1,
      1,
      1,
      1,
      1,
      1,
      0.8483,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1
    ],
    "per_beat_centroid": [
      0.0504,
      0.0799,
      0.0935,
      0.0935,
      0.0652,
      0.0261,
      0.0261,
      0.055,
      0.0553,
      0.0282,
      0.0282,
      0.0469,
      0.0331,
      0.0331,
      0.0123,
      0.1493,
      0.1493,
      0.1585,
      0.0311,
      0.0821,
      0.0821,
      0.0454,
      0.0198,
      0.0198,
      0.0453,
      0.039,
      0.039,
      0.0418,
      0.0799,
      0.0512,
      0.0512,
      0.089,
      0.0732,
      0.0732,
      0.082,
      0.0879,
      0.1001,
      0.1001,
      0.0306,
      0.0859,
      0.0859,
      0.0573,
      0.0476,
      0.0476,
      0.0588,
      0.0407,
      0.0407,
      0.0126,
      0.1188,
      0.0801,
      0.0801,
      0.1099,
      0.1239,
      0.1239,
      0.042,
      0.0213,
      0.0213,
      0.0952,
      0.0423,
      0.0638,
      0.0638,
      0.08,
      0.0665,
      0.0665,
      0.0201,
      0.0266,
      0.0266,
      0.0126,
      0.0107,
      0.0107,
      0.0126,
      0.014,
      0.0167,
      0.0167,
      0.0167,
      0.0207,
      0.0207,
      0.0534,
      0.0257,
      0.0257,
      0.0811,
      0.0931,
      0.0931,
      0.0892,
      0.0462,
      0.059,
      0.059,
      0.0267,
      0.0372,
      0.0372,
      0.0798,
      0.009,
      0.009,
      0.0443,
      0.1308,
      0.1308,
      0.027,
      0.0321,
      0.0321,
      0.0399,
      0.0164,
      0.0408,
      0.0408,
      0.0584,
      0.0558,
      0.0558,
      0.0513,
      0.0828,
      0.0828,
      0.0259,
      0.047,
      0.0658,
      0.0658,
      0.0662,
      0.1067,
      0.1067,
      0.024,
      0.0205,
      0.0205,
      0.0445,
      0.0306,
      0.0306,
      0.0353,
      0.0459,
      0.013,
      0.013,
      0.0319,
      0.0174,
      0.0174,
      0.058,
      0.038,
      0.038,
      0.0416,
      0.0714,
      0.0558,
      0.0558,
      0.04,
      0.0402,
      0.0402,
      0.0801,
      0.0875,
      0.0875,
      0.0716,
      0.0575,
      0.0375,
      0.0375,
      0.0408,
      0.0532,
      0.0532,
      0.0258,
      0.0453,
      0.0465,
      0.0465,
      0.0179,
      0.035,
      0.035,
      0.0121,
      0.0255,
      0.0255,
      0.0461,
      0.016,
      0.0269,
      0.0269,
      0.0595,
      0.0338,
      0.0338,
      0.065,
      0.0543,
      0.0543,
      0.0372,
      0.0526,
      0.0795,
      0.0795,
      0.0467,
      0.1169,
      0.1169,
      0.0465,
      0.0442,
      0.0442,
      0.0391,
      0.0644,
      0.03,
      0.03,
      0.0463,
      0.0428,
      0.0428,
      0.0284,
      0.0586,
      0.0586,
      0.0312,
      0.0225,
      0.0568,
      0.0568,
      0.0568,
      0.0472,
      0.0472,
      0.0594,
      0.0417,
      0.0417,
      0.1061,
      0.0521,
      0.0602,
      0.0602,
      0.0316,
      0.0592,
      0.0592,
      0.0404,
      0.0215,
      0.0299,
      0.0299,
      0.0422,
      0.0779,
      0.0779,
      0.11,
      0.0364,
      0.0364,
      0.0304,
      0.1092,
      0.0433,
      0.0433,
      0.0453,
      0.0711,
      0.0711,
      0.0485,
      0.0314,
      0.0314,
      0.0271,
      0.0112,
      0.0112,
      0.0404,
      0.0425,
      0.0199,
      0.0199,
      0.0585,
      0.0243,
      0.0243,
      0.0705,
      0.0565,
      0.0565,
      0.0382,
      0.0326,
      0.0449,
      0.0449,
      0.0251,
      0.034,
      0.034,
      0.0544,
      0.0107,
      0.0107,
      0.0313,
      0.0384,
      0.0151,
      0.0151,
      0.0471,
      0.0546,
      0.0546,
      0.009,
      0.0252,
      0.0252,
      0.0268,
      0.0578,
      0.0571,
      0.0571,
      0.0444,
      0.0884,
      0.0884,
      0.1046,
      0.0622,
      0.0622,
      0.0192,
      0.0502,
      0.0705,
      0.0705,
      0.0557,
      0.0484,
      0.0484,
      0.0316,
      0.0563,
      0.0563,
      0.0648,
      0.0405,
      0.0405,
      0.0763,
      0.0341,
      0.0248,
      0.0248,
      0.0349,
      0.019,
      0.019,
      0.0146,
      0.0485,
      0.0485,
      0.0294,
      0.014,
      0.0288,
      0.0288,
      0.0165,
      0.0558,
      0.0558,
      0.0409,
      0.0574,
      0.0574,
      0.0768,
      0.1201,
      0.0834,
      0.0834,
      0.1058,
      0.0719,
      0.0719,
      0.0294,
      0.0789,
      0.0789,
      0.043,
      0.0759,
      0.0762,
      0.0762,
      0.0334,
      0.0397,
      0.0397,
      0.0308,
      0.0167,
      0.0167,
      0.0208,
      0.0537,
      0.0537,
      0.0253,
      0.0211,
      0.0453,
      0.0453,
      0.0349,
      0.0309,
      0.0309,
      0.0346,
      0.0161,
      0.0161,
      0.0347,
      0.029,
      0.0263,
      0.0263,
      0.0299,
      0.0471,
      0.0471,
      0.0855,
      0.1138,
      0.1454,
      0.1454,
      0.1117,
      0.0846,
      0.0846,
      0.0777,
      0.0835,
      0.0835,
      0.0762,
      0.0609,
      0.0523,
      0.0523,
      0.0842,
      0.0691,
      0.0691,
      0.1155,
      0.1105,
      0.1105,
      0.0687,
      0.0493,
      0.0829,
      0.0829,
      0.0616,
      0.0733,
      0.0733,
      0.0801,
      0.032,
      0.0452,
      0.0452,
      0.0389,
      0.0614,
      0.0614,
      0.076,
      0.0817,
      0.0817,
      0.0862,
      0.0611,
      0.0604,
      0.0604,
      0.0334,
      0.0619,
      0.0619,
      0.0225,
      0.0631,
      0.0631,
      0.0979,
      0.0345,
      0.0314,
      0.0314,
      0.0391,
      0.0324,
      0.0324,
      0.0704,
      0.0435,
      0.0435,
      0.045,
      0.0616,
      0.0729,
      0.0729,
      0.0619,
      0.0805,
      0.0805,
      0.0942,
      0.0422,
      0.088,
      0.088,
      0.0748,
      0.0511,
      0.0511,
      0.0603,
      0.0333,
      0.0333,
      0.0375,
      0.0427,
      0.0183,
      0.0183,
      0.026,
      0.0497,
      0.0497,
      0.0249,
      0.0288,
      0.0288,
      0.0699,
      0.0379,
      0.0481,
      0.0481,
      0.0579,
      0.0417,
      0.0417,
      0.0688,
      0.0624,
      0.0624,
      0.054,
      0.1135,
      0.0538,
      0.0538,
      0.0416,
      0.0637,
      0.0637,
      0.0608,
      0.0472,
      0.0472,
      0.0595,
      0.0363,
      0.0259,
      0.0259,
      0.0289,
      0.0382,
      0.0382,
      0.0271,
      0.0355,
      0.0355,
      0.0288,
      0.0202,
      0.0512,
      0.0512,
      0.0297,
      0.0278,
      0.0278,
      0.0227,
      0.025,
      0.025,
      0.055,
      0.0379,
      0.0583,
      0.0583,
      0.0383,
      0.031,
      0.031,
      0.0365,
      0.0188,
      0.021,
      0.021,
      0.0251,
      0.0237,
      0.0237,
      0.0495,
      0.0313,
      0.0313,
      0.0671,
      0.0765,
      0.0765,
      0.0198,
      0.0856,
      0.1635,
      0.1635,
      0.0245,
      0.0735,
      0.0735,
      0.0281,
      0.0397,
      0.0397,
      0.0561,
      0.0488,
      0.0795,
      0.0795,
      0.0672,
      0.052,
      0.052,
      0.0601,
      0.0487,
      0.0447,
      0.0447,
      0.1009,
      0.0879,
      0.0879,
      0.066,
      0.0964,
      0.0964,
      0.0356,
      0.0399,
      0.0622,
      0.0622,
      0.0636,
      0.0747,
      0.0747,
      0.0888,
      0.0638,
      0.0638,
      0.0523,
      0.0823,
      0.0823,
      0.0524,
      0.0573,
      0.0338,
      0.0338,
      0.0677,
      0.0596,
      0.0596,
      0.0631,
      0.054,
      0.0506,
      0.0506,
      0.0408,
      0.0419,
      0.0419,
      0.0526,
      0.0514,
      0.0514,
      0.0438,
      0.0605,
      0.0347,
      0.0347,
      0.0327,
      0.0539,
      0.0539,
      0.0493,
      0.0318,
      0.0318,
      0.0604,
      0.0349,
      0.0349,
      0.0679,
      0.0564,
      0.0516,
      0.0516,
      0.1014,
      0.068,
      0.068,
      0.0383,
      0.0762,
      0.0663,
      0.0663,
      0.0457,
      0.0578,
      0.0578,
      0.0532,
      0.0538,
      0.0538,
      0.0921,
      0.0881,
      0.0456,
      0.0456,
      0.092,
      0.0796,
      0.0796,
      0.0839,
      0.0999,
      0.0555,
      0.0555,
      0.0387,
      0.0659,
      0.0659,
      0.0636,
      0.0571,
      0.0571,
      0.0599,
      0.0595,
      0.0533,
      0.0533,
      0.0677,
      0.0489,
      0.0489,
      0.0655,
      0.0471,
      0.0471,
      0.0697,
      0.0754
    ],
    "per_beat_dominant_band": [
      "mid",
      "sub_bass",
      "mid",
      "mid",
      "low_mid",
      "sub_bass",
      "sub_bass",
      "mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "sub_bass",
      "high",
      "high",
      "sub_bass",
      "low_mid",
      "mid",
      "mid",
      "sub_bass",
      "low_mid",
      "low_mid",
      "low_mid",
      "sub_bass",
      "sub_bass",
      "low_mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "mid",
      "mid",
      "mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "sub_bass",
      "high",
      "sub_bass",
      "sub_bass",
      "low_mid",
      "mid",
      "mid",
      "low_mid",
      "sub_bass",
      "sub_bass",
      "low_mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "low_mid",
      "low_mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "low_mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "mid",
      "mid",
      "low_mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "sub_bass",
      "sub_bass",
      "low_mid",
      "low_mid",
      "low_mid",
      "mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "sub_bass",
      "sub_bass",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "low_mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "mid",
      "sub_bass",
      "sub_bass",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "mid",
      "mid",
      "mid",
      "high",
      "high",
      "sub_bass",
      "low_mid",
      "low_mid",
      "mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "sub_bass",
      "sub_bass",
      "mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "mid",
      "sub_bass",
      "mid",
      "mid",
      "low_mid",
      "mid",
      "mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "high",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "mid",
      "mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "low_mid",
      "sub_bass",
      "sub_bass",
      "low_mid",
      "low_mid",
      "low_mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "high",
      "high",
      "high",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "high",
      "high",
      "low_mid",
      "low_mid",
      "low_mid",
      "sub_bass",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "low_mid",
      "sub_bass",
      "sub_bass",
      "low_mid",
      "high",
      "high",
      "high",
      "high",
      "sub_bass",
      "sub_bass",
      "low_mid",
      "high",
      "high",
      "low_mid",
      "high",
      "mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "low_mid",
      "low_mid",
      "low_mid",
      "sub_bass",
      "low_mid",
      "low_mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "mid",
      "mid",
      "high",
      "high",
      "mid",
      "mid",
      "mid",
      "mid",
      "low_mid",
      "low_mid",
      "mid",
      "low_mid",
      "mid",
      "mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "mid",
      "mid",
      "mid",
      "mid",
      "sub_bass",
      "mid",
      "mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "mid",
      "sub_bass",
      "low_mid",
      "low_mid",
      "low_mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "low_mid",
      "mid",
      "mid",
      "low_mid",
      "mid",
      "mid",
      "high",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "low_mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "low_mid",
      "low_mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "mid",
      "sub_bass",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "high",
      "low_mid",
      "low_mid",
      "low_mid",
      "mid",
      "mid",
      "mid",
      "low_mid",
      "low_mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "low_mid",
      "sub_bass",
      "sub_bass",
      "low_mid",
      "sub_bass",
      "sub_bass",
      "low_mid",
      "sub_bass",
      "mid",
      "mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "sub_bass",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "mid",
      "mid",
      "mid",
      "low_mid",
      "low_mid",
      "mid",
      "mid",
      "sub_bass",
      "mid",
      "mid",
      "sub_bass",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "mid",
      "mid",
      "mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "low_mid",
      "low_mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "sub_bass",
      "mid",
      "mid",
      "mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "mid",
      "low_mid",
      "sub_bass",
      "sub_bass",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "mid",
      "low_mid",
      "low_mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "low_mid",
      "mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "mid",
      "mid"
    ],
    "tempo_marking": "moderato",
    "energy_shape": "steady"
  },
  "harmonic": {
    "key": "E",
    "mode": "major",
    "camelot_position": "12B",
    "non_western_scale": false,
    "chord_progression_complexity": 0.00277126412278832,
    "harmonic_tension_curve": [
      0.499995708465576,
      0.499877631664276,
      0.499989032745361,
      0.499998658895493,
      0.499790638685226,
      0.499959796667099,
      0.499998956918716,
      0.49997815489769,
      0.49999663233757,
      0.49998077750206,
      0.499618381261826,
      0.499927848577499,
      0.499785304069519,
      0.499987244606018,
      0.499996662139893,
      0.499877482652664,
      0.499924153089523,
      0.49999874830246,
      0.499899476766586,
      0.499992817640305,
      0.499998450279236,
      0.499955505132675,
      0.499922126531601,
      0.499982684850693,
      0.499950855970383,
      0.499999046325684,
      0.499942362308502,
      0.499977886676788,
      0.49999475479126,
      0.499932020902634,
      0.499998331069946,
      0.499994277954102,
      0.499703049659729,
      0.499886304140091,
      0.499995231628418,
      0.499903053045273,
      0.499993771314621,
      0.499987810850143,
      0.499661087989807,
      0.499979376792908,
      0.499907165765762,
      0.499877154827118,
      0.499956101179123,
      0.499970495700836,
      0.499838978052139,
      0.49985408782959,
      0.499687045812607,
      0.49983936548233,
      0.49972277879715,
      0.499907672405243,
      0.499834328889847,
      0.499937623739243,
      0.499936908483505,
      0.499972701072693,
      0.499778717756271,
      0.499901980161667,
      0.499923199415207,
      0.499870806932449,
      0.499882876873016,
      0.499841123819351,
      0.499433755874634,
      0.499900877475739,
      0.499402433633804,
      0.499329775571823,
      0.499958872795105,
      0.499854058027267,
      0.499902755022049,
      0.499859720468521,
      0.499798148870468,
      0.499956369400024,
      0.499881327152252,
      0.499916434288025,
      0.499825119972229,
      0.499945133924484,
      0.49998864531517,
      0.49992710351944,
      0.499827206134796,
      0.499765187501907,
      0.499994307756424,
      0.499737322330475,
      0.499901384115219,
      0.49994483590126,
      0.499687761068344,
      0.499779105186462,
      0.499848037958145,
      0.499848455190659,
      0.499822229146957,
      0.49981689453125,
      0.49994295835495,
      0.499894469976425,
      0.499906361103058,
      0.499878704547882,
      0.499995619058609,
      0.499812602996826,
      0.499896794557571,
      0.499979913234711,
      0.499967128038406,
      0.499977827072144,
      0.499938279390335,
      0.499822556972504,
      0.499907642602921,
      0.499675363302231,
      0.49999925494194,
      0.499885886907578,
      0.499838650226593,
      0.499878823757172,
      0.499899178743362,
      0.499916702508926,
      0.499877959489822,
      0.499838143587112,
      0.499963760375977,
      0.499883353710175,
      0.499962776899338,
      0.499982833862305,
      0.499941885471344,
      0.499991059303284,
      0.499998062849045,
      0.499843686819077,
      0.499894291162491,
      0.499918818473816,
      0.499951034784317,
      0.499906301498413,
      0.499970465898514,
      0.499892860651016,
      0.499946147203445,
      0.499947488307953,
      0.499931126832962,
      0.499992549419403,
      0.499901950359344,
      0.499922275543213,
      0.499878883361816,
      0.499939054250717,
      0.499987095594406,
      0.499946266412735,
      0.499984532594681,
      0.499936997890472,
      0.499875366687775,
      0.499889671802521,
      0.499943286180496,
      0.499621599912643,
      0.499771893024445,
      0.499926656484604,
      0.499919503927231,
      0.499888479709625,
      0.499799281358719,
      0.499956011772156,
      0.499932825565338,
      0.499895483255386,
      0.499986410140991,
      0.499869495630264,
      0.499804854393005,
      0.49987268447876,
      0.499579936265945,
      0.499704658985138,
      0.499456852674484,
      0.499129325151443,
      0.499949276447296,
      0.49935594201088,
      0.499816000461578,
      0.49994495511055,
      0.499800056219101,
      0.499826073646545,
      0.499999463558197,
      0.499839276075363,
      0.499808609485626,
      0.49992573261261,
      0.499701350927353,
      0.499984472990036,
      0.499845772981644,
      0.499756902456284,
      0.499927282333374,
      0.499691963195801,
      0.499541908502579,
      0.499929755926132,
      0.499834001064301,
      0.49962443113327,
      0.499866396188736,
      0.499834090471268,
      0.499828189611435,
      0.499866366386414,
      0.499996066093445,
      0.49995830655098,
      0.499996334314346,
      0.499912530183792,
      0.499938666820526,
      0.499864846467972,
      0.49996355175972,
      0.499973446130753,
      0.499787211418152,
      0.499805301427841,
      0.499868184328079,
      0.499961704015732,
      0.499816179275513,
      0.499830096960068,
      0.499952435493469,
      0.499913960695267,
      0.499836772680283,
      0.499922305345535,
      0.499909460544586,
      0.49989977478981,
      0.499911338090897,
      0.499973148107529,
      0.499952733516693,
      0.499916553497314,
      0.499946177005768,
      0.499817788600922,
      0.499877423048019,
      0.499883890151978,
      0.499935746192932,
      0.499934285879135,
      0.499939531087875,
      0.499700248241425,
      0.499905049800873,
      0.499785095453262,
      0.499951601028442,
      0.499889492988586,
      0.499944031238556,
      0.499850809574127,
      0.499983876943588,
      0.499765932559967,
      0.499856799840927,
      0.49990513920784,
      0.49995344877243,
      0.499869108200073,
      0.499947518110275,
      0.49973276257515,
      0.499890357255936,
      0.499909937381744,
      0.499796569347382,
      0.49984148144722,
      0.499973177909851,
      0.49994021654129,
      0.499911218881607,
      0.499908000230789,
      0.499971449375153,
      0.499944090843201,
      0.499955952167511,
      0.499900460243225,
      0.499915182590485,
      0.499941289424896,
      0.499984890222549,
      0.499877244234085,
      0.499948620796204,
      0.499848663806915,
      0.499810576438904,
      0.499813348054886,
      0.499873608350754,
      0.499958097934723,
      0.499932914972305,
      0.49983823299408,
      0.499880194664001,
      0.499622255563736,
      0.499784350395203,
      0.499973088502884,
      0.499940395355225,
      0.499891936779022,
      0.499795019626617,
      0.499888241291046,
      0.499879866838455,
      0.49996018409729,
      0.499917566776276,
      0.499843269586563,
      0.49993896484375,
      0.4999058842659,
      0.499941349029541,
      0.499915599822998,
      0.499939382076263,
      0.49996691942215,
      0.499932646751404,
      0.499908536672592,
      0.499880462884903,
      0.499924808740616,
      0.499973505735397,
      0.499962419271469,
      0.499957501888275,
      0.49995356798172,
      0.499980747699738,
      0.499928295612335,
      0.49971404671669,
      0.49990501999855,
      0.49982538819313,
      0.499952644109726,
      0.499915331602097,
      0.499896377325058,
      0.499850898981094,
      0.499936401844025,
      0.499779522418976,
      0.499863475561142,
      0.499919474124908,
      0.499847292900085,
      0.499898940324783,
      0.499892294406891,
      0.499948054552078,
      0.499958246946335,
      0.499976694583893,
      0.49992248415947,
      0.499816179275513,
      0.499910682439804,
      0.499943822622299,
      0.499947816133499,
      0.499966204166412,
      0.499931246042252,
      0.499895364046097,
      0.499723166227341,
      0.49988266825676,
      0.499888151884079,
      0.499899536371231,
      0.499883413314819,
      0.499930500984192,
      0.499882131814957,
      0.499876230955124,
      0.499842911958694,
      0.499976843595505,
      0.499952137470245,
      0.499994844198227,
      0.499859184026718,
      0.499884903430939,
      0.499800980091095,
      0.499858677387238,
      0.499842822551727,
      0.499893814325333,
      0.499903947114944,
      0.499906212091446,
      0.49987518787384,
      0.499842137098312,
      0.499903798103333,
      0.499695926904678,
      0.499941319227219,
      0.499890118837357,
      0.499855667352676,
      0.499817907810211,
      0.499891549348831,
      0.49994832277298,
      0.49999588727951,
      0.49993297457695,
      0.499872952699661,
      0.49985483288765,
      0.499959468841553,
      0.499912410974503,
      0.499981909990311,
      0.499926656484604,
      0.499890059232712,
      0.499935537576675,
      0.499976456165314,
      0.49995493888855,
      0.499905854463577,
      0.499940603971481,
      0.499874770641327,
      0.499964088201523,
      0.499945193529129,
      0.499834358692169,
      0.499943464994431,
      0.499772280454636,
      0.499908715486526,
      0.499960601329803,
      0.499884426593781,
      0.499927967786789,
      0.499969780445099,
      0.49987730383873,
      0.499717563390732,
      0.499913096427917,
      0.499861031770706,
      0.49988117814064,
      0.499840319156647,
      0.499898612499237,
      0.499927699565887,
      0.499960720539093,
      0.499879032373428,
      0.499839186668396,
      0.499959141016006,
      0.499801516532898,
      0.499987989664078,
      0.499847590923309,
      0.49990913271904,
      0.499941974878311,
      0.499924778938293,
      0.499899178743362,
      0.499943763017654,
      0.499952554702759,
      0.499899983406067,
      0.499935477972031,
      0.499896317720413,
      0.499995857477188,
      0.499929308891296,
      0.499930441379547,
      0.49992048740387,
      0.499958485364914,
      0.499912887811661,
      0.49997889995575,
      0.499994277954102,
      0.49987855553627,
      0.499852538108826,
      0.499860733747482,
      0.49980092048645,
      0.499962031841278,
      0.499857097864151,
      0.499774664640427,
      0.499958276748657,
      0.499990820884705,
      0.499871134757996,
      0.499971091747284,
      0.499860346317291,
      0.49995094537735,
      0.499989569187164,
      0.499985635280609,
      0.499857664108276,
      0.499906897544861,
      0.499799251556396,
      0.499897211790085,
      0.499726116657257,
      0.499890565872192,
      0.49990639090538,
      0.499819964170456,
      0.499705791473389,
      0.499891996383667,
      0.499883890151978,
      0.499946087598801,
      0.499925404787064,
      0.499841511249542,
      0.499906480312347,
      0.499789834022522,
      0.499861538410187,
      0.499881893396378,
      0.499869704246521,
      0.499902635812759,
      0.499895304441452,
      0.499961763620377,
      0.499920099973679,
      0.499853789806366,
      0.499955773353577,
      0.4998659491539,
      0.499957770109177,
      0.499964445829391,
      0,
      0
    ],
    "modulation_events": 8,
    "resolution_frequency": 0.305904924323172,
    "tonal_brightness": 1,
    "hpcp_vector": [
      0.510869004693745,
      0.180497486283187,
      0.832563228064995,
      0.248833063704815,
      0.888128662975722,
      0.237711499088043,
      0.561725089697169,
      1,
      0.290463846503383,
      0.758968284785859,
      0.365848574707966,
      0.879042926520492
    ],
    "key_confidence": 0.873065829277039,
    "analyzed_at": "2026-03-22T16:20:54.036658+00:00",
    "key_map": [
      {
        "key": "C#",
        "mode": "minor",
        "start_seconds": 0
      },
      {
        "key": "E",
        "mode": "major",
        "start_seconds": 20
      },
      {
        "key": "F#",
        "mode": "minor",
        "start_seconds": 30
      },
      {
        "key": "E",
        "mode": "major",
        "start_seconds": 40
      },
      {
        "key": "F#",
        "mode": "minor",
        "start_seconds": 80
      },
      {
        "key": "E",
        "mode": "major",
        "start_seconds": 90
      },
      {
        "key": "C#",
        "mode": "minor",
        "start_seconds": 120
      },
      {
        "key": "F#",
        "mode": "minor",
        "start_seconds": 130
      },
      {
        "key": "E",
        "mode": "major",
        "start_seconds": 140
      }
    ],
    "chromagram": [
      0.782898596039892,
      0.651762635422188,
      0.594920616188122,
      0.478422718955424,
      0.61471528871882,
      0.574043992343751,
      0.599497291454184,
      0.597344616025699,
      0.382492558601479,
      0.581495949297979,
      0.746797349561349,
      0.842471168535314,
      0.820579487458185,
      0.468604855992503,
      0.273966146579685,
      0.677622420756631,
      0.568197596447116,
      0.424518590982158,
      0.753442724696745,
      0.553075479586861,
      0.278041412153917,
      0.735129441485907,
      0.490711076726743,
      0.525754879599686,
      0.71165177542264,
      0.714808680350123,
      0.626565873013967,
      0.523727515850459,
      0.465344223205767,
      0.575641824765623,
      0.534420126127865,
      0.314284917957487,
      0.479714972599057,
      0.667717234510076,
      0.857793581245946,
      0.878968805079692,
      0.676266446063066,
      0.175570581713397,
      0.553717806569674,
      0.64936549593648,
      0.521433181170301,
      0.616728463619281,
      0.608163178279178,
      0.613631465953575,
      0.555165295573156,
      0.622690135766702,
      0.67811572755181,
      0.600929622266767,
      0.46175335830579,
      0.302305215814,
      0.254776424994505,
      0.270692306359492,
      0.299041728944335,
      0.351134275150442,
      0.828716770891932,
      0.755448209470769,
      0.230741658998855,
      0.172084568653369,
      0.266103795868882,
      0.16594155013801,
      0.233070289947096,
      0.220417995381936,
      0.218730167564426,
      0.314613033446828,
      0.302000187737368,
      0.174388668653128,
      0.413713188954905,
      0.78424119416782,
      0.54888058442716,
      0.558497004005108,
      0.545606747318923,
      0.475081238878797,
      0.627067142956809,
      0.238280645056957,
      0.232283161682799,
      0.498698189357519,
      0.392326439271588,
      0.705726450043642,
      0.680689993925794,
      0.228745183934795,
      0.188516032012722,
      0.25659864103613,
      0.220845340768653,
      0.283609044492095,
      0.318201121637719,
      0.160089353016812,
      0.246647635051015,
      0.259691872535662,
      0.333084697115945,
      0.239528673332671,
      0.232599272637921,
      0.228309929521558,
      0.444909214586924,
      0.326736571290439,
      0.259811916936488,
      0.304037922736155,
      0.19015548014982,
      0.188259109504767,
      0.589957057453461,
      0.510005968017576,
      0.69732364047044,
      0.288528055565725,
      0.333811608421758,
      0.494994646518683,
      0.394909490088066,
      0.49655050196691,
      0.734494563767393,
      0.512672425322259,
      0.875017018951677,
      0.793850641758234,
      0.661126352231074,
      0.489579382096912,
      0.352072801179049,
      0.224599603533883,
      0.251025061800318,
      0.29477580203004,
      0.594230339799543,
      0.414997568445407,
      0.401540581677798,
      0.461392880980608,
      0.350441302561252,
      0.305963274097392,
      0.464117354973794,
      0.477568625086014,
      0.357414307298241,
      0.264146188207814,
      0.352785874712317,
      0.379259582846298,
      0.516927146071163,
      0.786378601065206,
      0.38131808493893,
      0.443367932969447,
      0.368286934468727,
      0.547625144524535,
      0.539250370542649,
      0.453602657898926,
      0.16480051314047,
      0.14848429076439,
      0.209915136396044,
      0.455013301577665,
      0.591117604337507,
      0.533794958157222,
      0.308991051643972,
      0.354736077354407,
      0.319102925411567,
      0.278538795888951,
      0.540809641610468,
      0.494092609615045,
      0.277944451982413,
      0.267671104082427,
      0.300277700807535,
      0.148816472913325,
      0.234392803694824,
      0.307075234065098,
      0.259667555235284,
      0.356267943659091,
      0.280655712061562,
      0.137003732845709,
      0.18095670587911,
      0.705201143760991,
      0.518375095869499,
      0.846115413324823,
      0.71759783506115,
      0.516488437898168,
      0.515083751598547,
      0.24602623409372,
      0.171795748731008,
      0.439369412244585,
      0.471515275830285,
      0.618024190954232,
      0.361085433725414,
      0.224536236401493,
      0.559785841134381,
      0.254848481589132,
      0.218797280641175,
      0.573741463111074,
      0.377869225138039,
      0.177341552716727,
      0.265765037372101,
      0.237907008316832,
      0.145588319101647,
      0.179791915432309,
      0.301786455201531,
      0.226517418353252,
      0.230670939737107,
      0.33555599122085,
      0.260809741100005,
      0.340741296079683,
      0.146979663925508,
      0.176959490451807,
      0.78401763313239,
      0.494116852725989,
      0.561863172253162,
      0.332390131244186,
      0.246081064574595,
      0.451917174627245,
      0.428131069714478,
      0.552910206669892,
      0.875312354044458,
      0.707841628909889,
      0.422940324732999,
      0.374961256022513,
      0.413832341264087,
      0.411407220311925,
      0.549378537454477,
      0.200973107504624,
      0.164162785118105,
      0.271444163236532,
      0.341445078965836,
      0.332467641084396,
      0.410193433872534,
      0.269250275758899,
      0.224471289210277,
      0.367928053366131,
      0.640976973998016,
      0.429157942227284,
      0.227507491988534,
      0.2331152476823,
      0.333229911498467,
      0.302954180150863,
      0.461569746627807,
      0.778999153495654,
      0.538063166309272,
      0.270415725662115,
      0.356672156121906,
      0.672687104895534,
      0.512199394565193,
      0.334232994394411,
      0.206729767466196,
      0.144576759600044,
      0.207312471527035,
      0.644188720405967,
      0.845803527993607,
      0.43787256463812,
      0.273353721546802,
      0.388941141801529,
      0.717429488984144,
      0.747674624063424,
      0.626127636924677,
      0.301880861899686,
      0.266343917449552,
      0.337690864245548,
      0.370640737294805,
      0.399130628882781,
      0.53200981775882,
      0.292473024216546,
      0.393483189272297,
      0.34786482063593,
      0.382766816261912,
      0.422459319149932,
      0.848599649373454,
      0.444477055302322,
      0.566751774630999,
      0.491740169722453,
      0.465369581370688,
      0.69093463740699,
      0.31555562000733,
      0.393792355786408,
      0.261770739347811,
      0.417992993567017,
      0.404458384342406,
      0.706687021987241,
      0.423033053992616,
      0.353270811009061,
      0.261349274688459,
      0.237016728176814,
      0.44273915836436,
      0.581644841441463,
      0.30175617966183,
      0.515521880170823,
      0.687403845409642,
      0.315955188458046,
      0.276252322651013,
      0.291756564033314,
      0.398955276048854,
      0.342053860052587,
      0.334015976815141,
      0.303620111213775,
      0.297194588029881,
      0.386959380572616,
      0.403560491676213,
      0.25797846999964,
      0.255029203926276,
      0.35151049127478,
      0.498454798924671,
      0.238764767793739,
      0.3021957890575,
      0.437108676603345,
      0.285583918800121,
      0.443855460306597,
      0.777883005014708,
      0.622890594557323,
      0.897205213556378,
      0.571750925294455,
      0.480914162856778,
      0.35227138320875,
      0.419490572366681,
      0.182722651768141,
      0.261090472870863,
      0.339751130761617,
      0.502360558504647,
      0.461319518037015,
      0.449904460283678,
      0.326803011427779,
      0.329601123812483,
      0.325781453296116,
      0.549640836715792,
      0.442742049337532,
      0.23340965860112,
      0.332855050710359,
      0.338180475048523,
      0.403514375649497,
      0.643818122724502,
      0.695673765243418,
      0.578833194626738,
      0.361553697051029,
      0.848874710215681,
      0.446917579370954,
      0.42063215174405,
      0.364979653630626,
      0.154262982982451,
      0.164410050630954,
      0.19031208239992,
      0.395996619010018,
      0.361963786180056,
      0.33989514975935,
      0.32515861192718,
      0.374437358371271,
      0.48645423207634,
      0.831571587188458,
      0.403537668390338,
      0.332948696210826,
      0.280946591574334,
      0.180624156738532,
      0.292295375990719,
      0.267519442014043,
      0.346874916217486,
      0.248863713480433,
      0.174580247887025,
      0.28771698574482,
      0.162602757895297,
      0.395861505617823,
      0.371439835245786,
      0.312914473827414,
      0.390214265533465,
      0.310745933229554,
      0.294141400472165,
      0.267678071683332,
      0.301427037546026,
      0.309223372205059,
      0.5489882402273,
      0.601547279324563,
      0.451874092930789,
      0.832659131458791,
      0.364133964363637,
      0.413259438172921,
      0.377270854955634,
      0.253468197843175,
      0.442544078322776,
      0.682439429485881,
      0.296357592342812,
      0.35661134166462,
      0.435449642399231,
      0.436293574577334,
      0.391088133156572,
      0.632551358290801,
      0.222539343812315,
      0.240343859536974,
      0.300399104135941,
      0.324779775656735,
      0.707976852268294,
      0.556165500804489,
      0.417809469150538,
      0.187070119638779,
      0.745612207066272,
      0.344065657726896,
      0.720207824394811,
      0.338173058340431,
      0.353987771031933,
      0.438222212680681,
      0.280113996876498,
      0.547045449656978,
      0.507023085600907,
      0.314361416117771,
      0.490715322588411,
      0.682829121661366,
      0.682993126104693,
      0.579459650896368,
      0.670195305646641,
      0.251354822047772,
      0.23272831891184,
      0.365826344071579,
      0.487148831694299,
      0.562845180601253,
      0.916025120641413,
      0.560354280677428,
      0.766487246771685,
      0.516056233881984,
      0.55587747074523,
      0.327158127886888,
      0.235335287466686,
      0.282068419618933,
      0.431739056605395,
      0.385191864395786,
      0.531923992004703,
      0.974305210699958,
      0.693093684073527,
      0.304971921991509,
      0.235423854410452,
      0.498379242052534,
      0.533529920143121,
      0.793508479706514,
      0.234970970443734,
      0.222759379870702,
      0.315075866056039,
      0.290672987384285,
      0.234079268530242,
      0.291403810192952,
      0.474964215408618,
      0.485213113796653,
      0.559611053994482,
      0.876761030814618,
      0.616690871931841,
      0.213209950455314,
      0.332750441301317,
      0.413139203358937,
      0.388765119631704,
      0.800765598465437,
      0.59150092070515,
      0.524735236878245,
      0.694736913221217,
      0.784939079986791,
      0.625232137420333,
      0.536268865834187,
      0.457612731963629,
      0.489161995685835,
      0.353198270480468,
      0.497814824588941,
      0.355269224411341,
      0.593778263190622,
      0.764262329386875,
      0.348936217174289,
      0.595031891734365,
      0.726851186274598,
      0.693356214135036,
      0.912580886180895,
      0.819321090223879,
      0.861766226453995,
      0.937326271952879,
      0.676685663680968,
      0.557210193525902,
      0.853163382818329,
      0.780858312027156,
      0.526832303274709,
      0.877193563980333,
      0.866323914711902,
      0.652905473746472,
      0.834775195987278,
      0.911391942727847,
      0.96785348089841,
      0.822231034461898,
      0.182269564900278,
      0.941128668085228,
      0.861305176439752,
      0.798923638974542,
      0.967960545897039,
      0.784699847306927,
      0.429547468447153,
      0.83683864335136,
      0.635103688045193,
      0.931731292298052,
      0.924339025158683,
      0.884507660992373,
      0.599196613596546,
      0.696821464056201,
      0.626610588184285,
      0.49418388978696,
      0.956690531911027,
      0.97901261520979,
      0.708901771010533,
      0.818249402461838,
      0.833959402223129,
      0.920441968208995,
      0.902667824792438,
      0.334914876176935,
      0.803132907875455,
      0.656366963695268,
      0.529436102220635,
      0.833422407917967,
      0.834127608046309,
      0.723256554095497,
      0.564216437499896,
      0.645339590267347,
      0.746402181006605,
      0.649776327865914,
      0.574038784465817,
      0.396986683609444,
      0.289410412846421,
      0.401862556383148,
      0.342290426521226,
      0.412011939006649,
      0.730128743238642,
      0.569874612475933,
      0.337718822347516,
      0.296773773234809,
      0.382285201363075,
      0.321291876998179,
      0.541529063959189,
      0.486914005702382,
      0.296867412505062,
      0.484660700940242,
      0.48038429956581,
      0.29546945395318,
      0.590868112307402,
      0.694792339855808,
      0.46630382722423,
      0.81388821617439,
      0.478895995090892,
      0.436267181729383,
      0.517122216366957,
      0.522936550685928,
      0.423817241195959,
      0.689352737478945,
      1,
      0.932147947321695,
      0.600078772911675,
      0.299602599163291,
      0.309006693702028,
      0.382652889125207,
      0.312182181292008,
      0.670301620353584,
      0.430999918126447,
      0.221367377448568,
      0.47428938656418,
      0.351983633693507,
      0.51773832507873,
      0.406167295194521,
      0.497539574702701,
      0.44685651026891,
      0.575150493683557,
      0.353382401676362,
      0.2354001781605,
      0.529458511080222,
      0.324313439041953,
      0.338910826770688,
      0.592373412114751,
      0.628154320536679,
      0.882571797622026,
      0.445905245701255,
      0.423601831734985,
      0.577696272483344,
      0.422051218531769,
      0.715270132228535,
      0.68344778939589,
      1,
      0.908955121274867,
      0.965287689908687,
      0.764036448840296,
      0.509531479025836,
      0.512599150867897,
      0.519767313096903,
      0.275915913857192,
      0.282938418421048,
      0.567628755828383,
      0.592338302683898,
      0.54026924849579,
      0.930951649694013,
      0.448415357878393,
      0.360459286071966,
      0.687383855042797,
      0.987426460165291,
      0.57309143471615,
      0.480051396914141,
      0.457392610253672,
      0.627442341908832,
      0.772808117648178,
      0.813440971051379,
      1,
      0.636941167277575,
      0.438911406675757,
      0.586145273651531,
      0.447609365494299,
      0.412135015975908,
      0.223285183870737,
      0.258475019392304,
      0.279504145727811,
      0.62782287353139,
      0.596838305676599,
      0.902584575032529,
      0.568690403666668,
      0.565564879866359,
      0.523081819343926,
      0.467873524092096,
      0.647052308412065,
      0.451833319904463,
      0.278681551429453,
      0.476278760460734,
      0.408039881998483,
      0.318981725281209,
      0.716523328514298,
      0.450255522241481,
      0.322358545099793,
      0.505714935285619,
      0.332659403955288,
      0.204378113528026,
      0.192189253115741,
      0.587784493513691,
      0.463783260071243,
      0.554841142670526,
      0.706215268725427,
      0.48283008312819,
      0.414438971349736,
      0.422623875280276,
      0.246519022754357,
      0.793517046192964,
      1,
      0.857853992996652,
      0.432171933606238,
      0.255475442409277,
      0.679809249131573,
      0.424868674602957,
      0.253346073298023,
      0.770385362267515,
      0.651143804845812,
      0.282335879250842,
      0.496961971085799,
      0.403035757192539,
      0.277472032698226,
      0.340845233943482,
      0.728125943614188,
      0.399157268799189,
      0.526415317706452,
      0.388574352109665,
      0.292357725239919,
      0.386304087889893,
      0.302499406223195,
      0.225862267913392,
      0.755753216981937,
      0.574505579766812,
      0.617121891131489,
      0.359484465530287,
      0.361312392521522,
      0.515329186702216,
      0.395111465669891,
      0.559734490199037,
      0.541526316877441,
      0.915966111343531,
      0.712687576345983,
      0.52719326869176,
      0.505823145986655,
      0.50359988574143,
      0.421608017628339,
      0.293983960575139,
      0.240633903376604,
      0.260016540472835,
      0.327707775907273,
      0.461510337445032,
      0.861988559506117,
      0.479646485833776,
      0.316060086471351,
      0.261352795165625,
      0.965878011478242,
      0.971867312879334,
      0.251710567309539,
      0.307006256300342,
      0.504288022466672,
      0.398437155957016,
      0.790006251622519,
      0.709260710543492,
      0.962083410347875,
      0.5640626673995,
      0.532699325829223,
      0.529269250568577,
      0.53305497752785,
      0.388935352688193,
      0.319664441441552,
      0.240512813250908,
      0.442190540112483,
      0.487382339829498,
      0.92141713731247,
      0.39179249092644,
      0.397531848717005,
      0.404080840925675,
      0.767909137081039,
      0.811139481467713,
      0.669359923879762,
      0.431704146959737,
      0.38757656042719,
      0.516709605487004,
      0.618252689847313,
      0.579786738103404,
      0.774910182997552,
      0.481054366923721,
      0.668487626456098,
      0.711142268792725,
      0.494570606834646,
      0.462089064040663,
      0.815263710437052,
      0.414237978239637,
      0.431939892499075,
      0.739032079601443,
      0.502933001192445,
      0.655604138153587,
      0.390460832056385,
      0.557948130694914,
      0.269441184388363,
      0.98074416371285,
      0.952729513181141,
      0.680648092915647,
      0.40868014059223,
      0.557185107909395,
      0.490222270983493,
      0.381089530323756,
      0.752125694992505,
      0.607772924529744,
      0.43182066083393,
      0.694524939445672,
      0.786155837078952,
      0.4264825509669,
      0.415388944217516,
      0.551507884849954,
      0.579113296739219,
      0.675203180291722,
      0.47707337997024,
      0.37494525177603,
      0.36281468941056,
      0.604743440604778,
      0.645488708487465,
      0.553339769037607,
      0.521203385699428,
      0.580252175144715,
      0.570703625396818,
      0.318164519247471,
      0.370233456434487,
      0.621326805776174,
      0.389913429670879,
      0.513166785438164,
      0.646754518455635,
      0.991717124853827,
      0.868076463896979,
      0.946737986817847,
      0.583468655689498,
      0.466435806904392,
      0.526328303963642,
      0.346342937159247,
      0.282174294001589,
      0.474965745689121,
      0.559315387548658,
      0.58675514055939,
      0.499359533387701,
      0.663044570108929,
      0.333226249530549,
      0.462997718314859,
      0.817082364256848,
      0.993394591249076,
      0.328111304364883,
      0.515256528450124,
      0.604958994601271,
      0.65391485726033,
      0.855942202085321,
      0.772946799999962,
      0.978589322613247,
      0.656455187068689,
      0.834828738502486,
      0.498376007746582,
      0.442285315198571,
      0.419872946664415,
      0.34760398788815,
      0.379916217021203,
      0.354707492346851,
      0.39857027062853,
      0.446029748195181,
      0.539357781587823,
      0.557068017657347,
      0.457351107601049,
      0.745439525827807,
      0.900129958481009,
      0.420248515483264,
      0.381731339191704,
      0.400448669915961,
      0.394636390562454,
      0.466700503793545,
      0.299045119281942,
      0.373547234393017,
      0.364277149505428,
      0.327718746945244,
      0.363754370775665,
      0.171607235346278,
      0.339128162327827,
      0.438602150555608,
      0.628671618420873,
      0.421213824785554,
      0.387896654058537,
      0.437010271009212,
      0.413313443680477,
      0.429749419551329,
      0.553881208058321,
      0.71556674284503,
      0.742560862209315,
      0.457208951176055,
      0.797271354759028,
      0.310706149138323,
      0.354982050191644,
      0.350269486391146,
      0.386926232033976,
      0.482996560040866,
      0.875967141222068,
      0.999346928335884,
      0.523200473767912,
      0.653666585964281,
      0.427761403885569,
      0.478420050086484,
      0.59801442452814,
      0.302408030427157,
      0.284217540066453,
      0.392585244872281,
      0.345415528612453,
      0.548927592878698,
      0.672075302823705,
      0.503122718382759,
      0.242468396264126,
      0.655483615872804,
      0.369880612949487,
      0.873416569945053,
      0.338877621610847,
      0.557518803478368,
      0.503077174476253,
      0.342524726793527,
      0.642624061608548,
      0.790657991631943,
      0.892909330954804,
      0.89141026234467,
      0.903977327150684,
      0.625421512770582,
      0.539052525868759,
      0.513351166328989,
      0.255936072518946,
      0.288358425785587,
      0.443359733268545,
      0.376742259417956,
      0.456386649427777,
      0.841769781373365,
      0.610073014838132,
      0.85832204876501,
      0.728442497293217,
      0.72424213714698,
      0.418366174383953,
      0.232122564218931,
      0.295676206644973,
      0.477101828586468,
      0.552191028272212,
      0.64231718910902,
      0.518355715844952,
      0.909467893617323,
      0.440253083112504,
      0.333316594212556,
      0.474097048175512,
      0.895099996867793,
      0.661219794093851,
      0.343531170483965,
      0.390927277505401,
      0.39727305417162,
      0.43637398133163,
      0.333732773435649,
      0.304487664068621,
      0.658259631280955,
      0.484374064402527,
      0.409930348119049,
      0.769287997197486,
      0.53340023204543,
      0.249140706004077,
      0.386615965754779,
      0.556628276204983,
      0.463200529363285,
      0.886119178670438,
      0.795489834380783,
      0.552548740386896,
      0.885196885647026,
      0.998915840691084,
      0.926995976226847,
      0.932909418915276,
      0.612925002083067,
      0.717241417523279,
      0.414655485912035,
      0.537954985560495,
      0.380649814887615,
      0.446927753116928,
      0.730801341298386,
      0.57169167763188,
      0.754664917814344,
      0.697031909782014,
      0.484113667435185,
      0.753336500371037,
      1,
      0.636294321262215,
      0.811656937706678,
      0.260767208286344,
      0.392145833959253,
      0.792198256718726,
      0.608920492517722,
      0.358831180758979,
      0.686926484687131,
      0.443458487539215,
      0.54565278464856,
      0.966136549242181,
      0.819857647701117,
      0.937221826321127,
      0.615967892071875,
      0.153296056710226,
      0.701639879393742,
      0.841713878729725,
      0.371791717733656,
      0.957640418608509,
      0.307558846774,
      0.249672460380659,
      0.732859977716014,
      0.626132411392731,
      0.695836762444564,
      0.87258094141395,
      0.488707009717645,
      0.442237843970783,
      0.622630657034182,
      0.225219652443142,
      0.345584531485326,
      0.686859298478374,
      0.375572726409615,
      0.468453319725989,
      0.860873186180363,
      0.771908716141875,
      0.881970783278404,
      0.664141339048848,
      0.184189300777818,
      0.585278229301209,
      0.782566201964506,
      0.459574263946713,
      0.852334804422006,
      0.896477248448286,
      0.765623119121709,
      0.64202722427142,
      0.759139929552836,
      0.728981046028367,
      0.670899294845579,
      0.626452381484665,
      0.377233555001314,
      0.282512983985584,
      0.272799272655636,
      0.362885500794204,
      0.383868690156621,
      0.431563986292772,
      0.550859483854215,
      0.285767574585064,
      0.186546304378867,
      0.529090213265117,
      0.272095203142713,
      0.347093430939406,
      0.395344538498848,
      0.244560581901205,
      0.420730114146371,
      0.402041781206676,
      0.28828704363417,
      0.588089156715423,
      0.644921234269501,
      0.271946472813721,
      0.59590776246955,
      0.519482819944578,
      0.253501377315008,
      0.375681372536523,
      0.326801645737263,
      0.245368739615237,
      0.393453188112173,
      0.432412165036075,
      0.648723304757987,
      0.602841788034824,
      0.351641316219459,
      0.345124718034636,
      0.349444331485447,
      0.281666348736766,
      0.465565450156963,
      0.35252601263509,
      0.139483468458524,
      0.388969163887606,
      0.395838770387085,
      0.432636580988822,
      0.316482923552999,
      0.372769581607945,
      0.393198511525437,
      0.521443113335117,
      0.356158221005323,
      0.261394359619611,
      0.380746073730148,
      0.259322845864615,
      0.193075506027643,
      0.339381155076536,
      0.380378188871595,
      0.424434182804597,
      0.426377201756998,
      0.314087588890105,
      0.45759162800292,
      0.296456730369879,
      0.516835723285392,
      0.511162206874663,
      0.349756393442708,
      0.481078416236519,
      0.549368919819694,
      0.467329366515561,
      0.561244789014476,
      0.575338779842624,
      0.262488345416733,
      0.271813821531272,
      0.292901490152646,
      0.478050975506514,
      0.430026374924487,
      0.606168022329131,
      0.522405337364539,
      0.282263807348455,
      0.337640330305621,
      0.492987388041055,
      0.477053432633014,
      0.358266508867379,
      0.338014898988964,
      0.489819504044547,
      0.541738969673979,
      0.568977403736095,
      0.580512370969661,
      0.2352578475499,
      0.384809325413087,
      0.38197847829402,
      0.565329751409455,
      0.329550449661361,
      0.44093752077199,
      0.182468478557523,
      0.197097325427042,
      0.230574107946501,
      0.558428892270961,
      0.4487780474033,
      0.418813785483052,
      0.435220207480395,
      0.523953618865536,
      0.403617105907801,
      0.320381276608309,
      0.427716851893869,
      0.483804760742309,
      0.267763854555625,
      0.283337542371978,
      0.478393472251355,
      0.261210829067155,
      0.227619043928938,
      0.35586966959082,
      0.26048678920897,
      0.424405539826067,
      0.430843077097746,
      0.241164385746416,
      0.143342640934379,
      0.491834610175325,
      0.271913361162038,
      0.475382582930356,
      0.58828711167978,
      0.231856003488964,
      0.285123989573102,
      0.238889119541626,
      0.157159111962841,
      0.44582561792186,
      0.405085604677289,
      0.482650933387657,
      0.365857937187246,
      0.300731485229273,
      0.707767122368645,
      0.3478528072243,
      0.215254644470301,
      0.415322343640686,
      0.463047465733494,
      0.222625656196804,
      0.416600317287863,
      0.41729542611953,
      0.220488125406311,
      0.388022885022303,
      0.444404050776673,
      0.287350199481214,
      0.318297589920436,
      0.300424485450562,
      0.200634506839754,
      0.340528896885061,
      0.234681736457595,
      0.249113555583373,
      0.490011883043795,
      0.480970370189708,
      0.589355929546569,
      0.341587114742764,
      0.266997645481964,
      0.472646909954876,
      0.453157635923231,
      0.657615695416848,
      0.511284305143908,
      0.2577602716804,
      0.536972205397269,
      0.481665694923119,
      0.491104543478939,
      0.439123597516969,
      0.575832835213603,
      0.255070098029289,
      0.217115719098133,
      0.29083530193688,
      0.330370596692952,
      0.315946658837099,
      0.375088671534668,
      0.43862931187958,
      0.369965049369603,
      0.292990921887932,
      0.662000722026829,
      0.456283269543478,
      0.293080546910802,
      0.277292252579936,
      0.447373703180116,
      0.4099094030184,
      0.685191349912603,
      0.680289566705171,
      0.401288563627315,
      0.258776395999463,
      0.356362294759174,
      0.392505224739317,
      0.434873904373074,
      0.492710349397744,
      0.278358933352209,
      0.155140000394375,
      0.345003231875119,
      0.428178882222566,
      0.396558903662828,
      0.394414522792231,
      0.364306138070233,
      0.33055249966768,
      0.535697274723193,
      0.445490954555654,
      0.464399351905395,
      0.391858715479202,
      0.357830177824864,
      0.473202926452315,
      0.53094358604414,
      0.506053882402525,
      0.609071915733094,
      0.405728758156858,
      0.471019077094615,
      0.470304120505648,
      0.387064319100753,
      0.49932701831458,
      0.633012957039818,
      0.464267668832588,
      0.409213324510511,
      0.532562867528116,
      0.485499186149377,
      0.509565756870866,
      0.323197408875952,
      0.503273960158796,
      0.303482628501761,
      0.376113940206522,
      0.404266023739091,
      0.336170067442173,
      0.398841905272281,
      0.381599904754005,
      0.325000094505289,
      0.3281322332337,
      0.49949630293712,
      0.55345558432418,
      0.278203978865954,
      0.525322759773395,
      0.884587697040976,
      0.449881679405109,
      0.392819476882238,
      0.482659503399164,
      0.323235118599564,
      0.483918398749038,
      0.341236359986987,
      0.403097496655653,
      0.3411477754795,
      0.552148289276524,
      0.406909195991817,
      0.384930157033505,
      0.439431326750733,
      0.421048258244285,
      0.521582035629092,
      0.341515049324776,
      0.336509349744517,
      0.470277119844477,
      0.378049465628956,
      0.590936364220254,
      0.467003221781285,
      0.454306940673322,
      0.481429407667945,
      0.414042918171175,
      0.323018080693587,
      0.401237507891778,
      0.638903655343389,
      0.363462868793515,
      0.223107849119581,
      0.383913701172778,
      0.395683409338525,
      0.476980699150178,
      0.498154252451683,
      0.481206447422223,
      0.397625789489083,
      0.364130288081005,
      0.544806487649035,
      0.442341386888794,
      0.24996388834993,
      0.436666065475734,
      0.360523683517636,
      0.566599876563295,
      0.746316596682418,
      0.56332042329811,
      0.488249864503323,
      0.461057297752944,
      0.734895522036747,
      0.470032413073696,
      0.536090236614173,
      0.429022291285781,
      0.133117467127494,
      0.18024477645017,
      0.243035335750755,
      0.459949017229374,
      0.446637909746799,
      0.437133063770427,
      0.407348231827743,
      0.491455832609813,
      0.515233784758245,
      0.611950990607473,
      0.487897215575827,
      0.325230326770155,
      0.230232468883271,
      0.32034597785863,
      0.337522162070355,
      0.258749206982866,
      0.38817557932355,
      0.284477629926908,
      0.256223585729628,
      0.295432415668809,
      0.194939309875698,
      0.22259473862844,
      0.328249559356426,
      0.3023933216214,
      0.313042970269824,
      0.338949445870071,
      0.371461219519381,
      0.330948751798565,
      0.385106786540164,
      0.376768355413669,
      0.646833464029215,
      0.541580591002095,
      0.387068433098186,
      0.510639771033341,
      0.440885926394723,
      0.388918891921896,
      0.47184597553771,
      0.333651734755197,
      0.484232136715512,
      0.64362065200626,
      0.364880805364383,
      0.574805992561496,
      0.507839851642115,
      0.407305545891627,
      0.43090877113,
      0.609152097865484,
      0.259013409809826,
      0.25217845742243,
      0.448854944530495,
      0.318609682225225,
      0.467063843612243,
      0.322500105871483,
      0.37679110044903,
      0.248855238379832,
      0.455625071945837,
      0.389529293681383,
      0.586468069436909,
      0.309737502730085,
      0.376134965910934,
      0.451292871924423,
      0.362004604261665,
      0.710571759573159,
      0.944112622466945,
      0.449856013073485,
      0.59717683042881,
      0.722393955409259,
      0.522508250395415,
      0.495515941285055,
      0.445828246044507,
      0.150899265314199,
      0.200542947770845,
      0.455257766889031,
      0.313319734391263,
      0.345047781121424,
      0.592897224890634,
      0.593696779626746,
      0.665657346412985,
      0.733723069380535,
      0.56745632697891,
      0.312209473601704,
      0.24044242724905,
      0.291298812085815,
      0.468565401301893,
      0.481434005369368,
      0.522989628150912,
      0.545132838585005,
      0.510579313801982,
      0.274893168640563,
      0.337814261664086,
      0.622125678313484,
      0.55080209840472,
      0.540786448782364,
      0.221276036242619,
      0.291727598917038,
      0.482679208381254,
      0.384293955766885,
      0.401405050048186,
      0.348377623513935,
      0.593061388603879,
      0.523427558862399,
      0.482662082316753,
      0.638518505993701,
      0.406054194339122,
      0.340602891337245,
      0.345943971795934,
      0.551460522069338,
      0.466257650792167,
      0.716708059028728,
      0.624117227509231,
      0.517462038045367,
      0.82227915068381,
      0.837692259693825,
      0.803894160089789,
      0.717461870767039,
      0.530949080134698,
      0.542120646530818,
      0.357769407639621,
      0.435288113099319,
      0.3158553427843,
      0.574904671807665,
      0.498507734739626,
      0.491579365466025,
      0.573277239461073,
      0.54156788900644,
      0.309091429995341,
      0.508264759946407,
      0.912057415176236,
      0.57665544837679,
      0.677851301198318,
      0.244656565216774,
      0.348088574183026,
      0.676398495346113,
      0.591891081785033,
      0.595259930071445,
      0.621661088322324,
      0.154486063444615,
      0.548774038055118,
      0.87573325992778,
      0.732345916471935,
      0.874433457119606,
      0.650150429547568,
      0.408658407118657,
      0.617347931074566,
      0.690246450023145,
      0.358253216301119,
      0.860241209621383,
      0.407386965724759,
      0.51310749325998,
      0.630576693820231,
      0.659696908821286,
      0.620784542982689,
      0.755378999786772,
      0.480139918965354,
      0.469985408931568,
      0.698069652836893,
      0.420268324862791,
      0.590002846058321,
      0.612208769272304,
      0.155322594725815,
      0.487394665617141,
      0.850852558193685,
      0.712248121387249,
      0.875357215938367,
      0.551714832975748,
      0.466587540777658,
      0.54394215698526,
      0.728370588253373,
      0.503822358675658,
      0.759540858429777,
      0.815564351488878,
      0.687480281547627,
      0.792933296308197,
      0.748266142251379,
      0.708064530889164,
      0.859510549212376,
      0.803171366389426,
      0.637543885079028,
      0.440794869066919,
      0.578800458835241,
      0.598485161597866,
      0.72469182484606,
      0.431048328888507,
      0.400108382558292,
      0.30956779268281,
      0.271710612672244,
      0.446698855014543,
      0.233607104749309,
      0.38278693921298,
      0.378440865210719,
      0.293654694656888,
      0.522555757096311,
      0.502654960989168,
      0.231828399006546,
      0.597760498511532,
      0.517678483484391,
      0.31696263501642,
      0.514484262121898,
      0.444714022597709,
      0.274936554766915,
      0.290469725228162,
      0.303492309971312,
      0.471635169991567,
      0.545913715544357,
      0.354494422337175,
      0.443484566452545,
      0.534525387592154,
      0.376551889302745,
      0.476038520022154,
      0.473542556505478,
      0.324815690179678,
      0.460578768248515,
      0.38088819017945,
      0.17281590440337,
      0.423288814424834,
      0.409754659816076,
      0.437220644479731,
      0.357479460589864,
      0.313869558305331,
      0.358032401528569,
      0.392312533944121,
      0.464361744771133,
      0.375714016509875,
      0.392003657017794,
      0.241893397692206,
      0.178808673216369,
      0.257913905851189,
      0.469445367547599,
      0.331167551865173,
      0.365680339829271,
      0.284654578203102,
      0.514045818243587,
      0.35656409042252,
      0.574970441619046,
      0.643875529628807,
      0.321462366554342,
      0.356313625189967,
      0.469558892492714,
      0.450867177753377,
      0.558865075801301,
      0.604179500423561,
      0.238551752758654,
      0.242831980074881,
      0.330200750576977,
      0.472363812122528,
      0.396360406951606,
      0.622095599313297,
      0.482308203943731,
      0.305471597723752,
      0.294204107906983,
      0.427632332438374,
      0.356296730860546,
      0.336664477206333,
      0.276610763714507,
      0.390504703235579,
      0.457856300235567,
      0.554696034613848,
      0.810772735270342,
      0.28697419535599,
      0.471973111771388,
      0.433750727685396,
      0.57389200340893,
      0.35186219922936,
      0.477037637068765,
      0.177647681798336,
      0.232079954183162,
      0.341552793149756,
      0.642893021227646,
      0.575151856794298,
      0.369012585030096,
      0.396957971689536,
      0.506027682106695,
      0.448408574399114,
      0.236890335330344,
      0.321173697465409,
      0.406020505764221,
      0.257481848467694,
      0.364673833678842,
      0.486171029071645,
      0.225735018491776,
      0.374348735498919,
      0.438276076722523,
      0.260569605823647,
      0.40048521589276,
      0.452600254827548,
      0.265419034453839,
      0.185430447232351,
      0.478775725660639,
      0.321846475720741,
      0.512141143662191,
      0.661651865151352,
      0.351078307510122,
      0.288345181176633,
      0.265393357097528,
      0.397555299798012,
      0.451998410785765,
      0.420486694416259,
      0.408334213322697,
      0.361810725208579,
      0.276415204562103,
      0.709049012722441,
      0.330138792051514,
      0.218066120099732,
      0.500136595652313,
      0.442425738264176,
      0.231984109742012,
      0.499688655882269,
      0.588714801054987,
      0.300186736016444,
      0.40839692906333,
      0.437260140558593,
      0.281832923882862,
      0.362208849952121,
      0.361203710408904,
      0.246577856251584,
      0.321196952012855,
      0.188161238489876,
      0.196272392231657,
      0.684409544039258,
      0.50906112768644,
      0.605124847053735,
      0.375786088729006,
      0.215039034543166,
      0.433416650132842,
      0.517432111278924,
      0.688290446546329,
      0.650400031345603,
      0.296215239255379,
      0.602144743691324,
      0.485583513058624,
      0.54067438369565,
      0.527028097678322,
      0.403138147737601,
      0.23957129451916,
      0.19638661314458,
      0.33331629138264,
      0.424691788646066,
      0.329181681587345,
      0.327326255910086,
      0.374782237610514,
      0.343319275587768,
      0.269678577589935,
      0.572547028519021,
      0.396576420815223,
      0.320411800498867,
      0.312047350285665,
      0.507806838008451,
      0.595677201983329,
      0.798180884171357,
      0.627560391495101,
      0.328659106980576,
      0.345048799837822,
      0.414498631373527,
      0.501135634029798,
      0.576801755550513,
      0.432428865257901,
      0.257600116510875,
      0.206097407078584,
      0.444586156516553,
      0.608180699975176,
      0.386312440114764,
      0.534512378281149,
      0.334098507451685,
      0.339319091615338,
      0.585725315689931,
      0.507799900996932,
      0.384374604496105,
      0.342337446678891,
      0.35467174738671,
      0.505865905184461,
      0.404258268215828,
      0.488151514295952,
      0.689946221738043,
      0.430130512484943,
      0.4238842350209,
      0.514001203559208,
      0.431464091725484,
      0.470234350882416,
      0.569208977339531,
      0.446017623946148,
      0.488967016969742,
      0.600013464966357,
      0.363574183083261,
      0.537819088309228,
      0.424795007835959,
      0.419993359501737,
      0.380969638706726,
      0.330264229922455,
      0.32821875981167,
      0.336875427151606,
      0.335791160749734,
      0.45863451646116,
      0.371551365046595,
      0.343976803476025,
      0.420385093435068,
      0.631558420504931,
      0.282760726252879,
      0.502332085777049,
      0.684641137058643,
      0.390928919320437,
      0.399417587951718,
      0.581799942256795,
      0.271534579591533,
      0.523103706280742,
      0.374271579422055,
      0.591698543282009,
      0.496064038377614,
      0.530209984454923,
      0.373623405091764,
      0.318298974858712,
      0.52468443238223,
      0.488550344559427,
      0.583411180091314,
      0.329777275320524,
      0.384840849272467,
      0.459358703489257,
      0.373005589527262,
      0.610842240249989,
      0.743094947004422,
      0.366138048774781,
      0.401585833281042,
      0.388614492269722,
      0.414232417287392,
      0.520192534472136,
      0.661794035203255,
      0.238186028639111,
      0.236478940910825,
      0.416888944851082,
      0.401168521931363,
      0.500704012799678,
      0.486114827540978,
      0.351690494338722,
      0.246476695597068,
      0.378019489946782,
      0.572187741763282,
      0.46888942440885,
      0.242305777738004,
      0.364148333643591,
      0.350383297515357,
      0.61430487184108,
      0.840214915150017,
      0.680959145012043,
      0.459597611561309,
      0.456704723002138,
      0.621312350763492,
      0.501047878992514,
      0.502987709175083,
      0.394405230649765,
      0.11914162987404,
      0.17844048509866,
      0.192246977874843,
      0.482078806241594,
      0.422734167251299,
      0.42191311854332,
      0.370241238953676,
      0.447056334888221,
      0.489834849571319,
      0.544242608843207,
      0.550653870140674,
      0.397981605485497,
      0.216028762316077,
      0.323474510910256,
      0.44546783116133,
      0.295467053339537,
      0.332937232841342,
      0.231259576285747,
      0.247629849268543,
      0.367875325014456,
      0.238142789520143,
      0.293122426248681,
      0.326766239473271,
      0.270256470842392,
      0.341540622665435,
      0.335575106196643,
      0.347545064008118,
      0.339163848141755,
      0.35780264269868,
      0.253461678865735,
      0.416485063813225,
      0.487314648236009,
      0.500979600939873,
      0.437581496685222,
      0.441886134044395,
      0.428501231436843,
      0.462125740151158,
      0.389194323998488,
      0.612774290475408,
      0.765051185637618,
      0.36276441044135,
      0.62342662810901,
      0.531007799995942,
      0.489011548565991,
      0.375801349680625,
      0.589082688562189,
      0.246474933975368,
      0.318308740767545,
      0.450567482785555,
      0.413065919061567,
      0.496918469065752,
      0.342926529711437,
      0.399758531693964,
      0.23802855923654,
      0.530187725429754,
      0.385724057909357,
      0.37948161078128,
      0.251362402660971,
      0.409072899733621,
      0.517836357416815,
      0.442137909353071,
      0.737816478179038,
      0.578717825323825,
      0.421356614077808,
      0.652963525853149,
      0.789604531256605,
      0.595672637088764,
      0.545185489192238,
      0.510035389197653,
      0.144652470187941,
      0.314613153640634,
      0.624446345845148,
      0.397090843358821,
      0.480477872125457,
      0.486804260810375,
      0.526843805249394,
      0.667918103662062,
      0.535607868780658,
      0.557032675561229,
      0.483325111651335,
      0.300892794928876,
      0.321500067811319,
      0.454182138817442,
      0.48093782609254,
      0.676669164527504,
      0.485372954551646,
      0.452818706295729,
      0.423390625826296,
      0.400098599301227,
      0.856051332840274,
      0.556904164786495,
      0.472680025607317,
      0.292807581066457,
      0.37868220131719,
      0.647934709533006,
      0.469149275454269,
      0.390624120300514,
      0.354301645879493,
      0.555262081691976,
      0.456585072148253,
      0.40702023489601,
      0.530931454766076,
      0.304063696233639,
      0.235415285309411,
      0.37784130178162,
      0.586442279227265,
      0.546422301930272,
      0.708062548092864,
      0.686978794059544,
      0.53343926475286,
      0.731564846048914,
      0.750673466182398,
      0.799090542338645,
      0.654617203395101,
      0.551347637664868,
      0.561350097569195,
      0.332976629851628,
      0.506110284770745,
      0.400085269994978,
      0.476968727339118,
      0.595436423664411,
      0.467946166383437,
      0.444493551465725,
      0.455306570199712,
      0.242847544407508,
      0.338389545693348,
      0.828004921221262,
      0.415244335543122,
      0.726274141186003,
      0.378544623988896,
      0.665577308936628,
      0.719763495646141,
      0.442557065254436,
      0.306586894168944,
      0.663015293359352,
      0.113378852394874,
      0.483188506535192,
      0.722336408614418,
      0.663313007520245,
      0.810841050660745,
      0.495540094114096,
      0.866546547127366,
      0.624121671263672,
      0.628669605903643,
      0.420760155375142,
      0.800040484044923,
      0.380286222358379,
      0.75016104164599,
      0.55643082147178,
      0.798211773993203,
      0.545605494879117,
      0.794604319005088,
      0.52542570286254,
      0.77186902726481,
      0.531772995789828,
      0.194009415289951,
      0.306373485864588,
      0.629694306210021,
      0.119959284703637,
      0.433804989154107,
      0.796278849934176,
      0.706360305509743,
      0.89136208672839,
      0.519232382979679,
      0.886714697764122,
      0.496243393580233,
      0.652697462802239,
      0.419110137159958,
      0.672719221789636,
      0.694137200783008,
      0.644326652233771,
      0.814244008738297,
      0.926096862715296,
      0.938994336292084,
      0.97345517300878,
      0.998499071543164,
      1,
      1,
      1,
      1,
      0.998867951676629,
      0.830499465246804,
      0.448392055009574,
      0.33752686152941,
      0.335802662690193,
      0.434384215179869,
      0.328582717159116,
      0.547918918440655,
      0.931597967364573,
      0.452572036303744,
      0.68066160139224,
      0.942457741790669,
      0.391756993708397,
      0.871478568283765,
      0.475065731844725,
      0.353079692697514,
      0.51633471061928,
      0.466232797322642,
      0.29091845636881,
      0.288949724639281,
      0.418477449991486,
      0.391539104131729,
      0.284588417333921,
      0.324378441765601,
      0.440674012704536,
      0.539573429573252,
      0.303622742045624,
      0.609230505234234,
      0.900803669011266,
      0.446193491284657,
      0.722046601524748,
      0.803641009208254,
      0.238623992439817,
      0.840335818386488,
      0.978884218843901,
      0.535753176656322,
      1,
      0.753638616682193,
      0.475941100025873,
      0.591329620862177,
      0.497590655106005,
      0.530564348342482,
      0.470667195037613,
      0.362158194267094,
      0.317509098824165,
      0.358996569322582,
      0.887719029183551,
      0.475725634017257,
      0.938456272096767,
      1,
      0.747588918414265,
      0.415726561792622,
      0.473211363128037,
      0.469164813439106,
      0.332193975620069,
      0.402465873056582,
      0.692940257679436,
      0.4531445906126,
      0.685103729638624,
      0.412133349323765,
      0.254032053175524,
      0.332022391842368,
      0.396106269764669,
      0.545871142506865,
      0.536419775326382,
      0.513944321090923,
      0.687026846928673,
      0.512091336832547,
      0.29017791945304,
      0.527160232110021,
      0.448290673756176,
      0.946501317600872,
      1,
      0.898172539054136,
      0.490299251006334,
      0.416931854238708,
      0.426899295406103,
      0.35973683950278,
      0.896366115834682,
      0.451628072459863,
      0.612762015375987,
      0.620122429000598,
      0.642419800726682,
      0.368399411116653,
      0.421832317990812,
      0.80852187260133,
      0.638280665927669,
      0.491303381104845,
      0.43248480736059,
      0.576547294800716,
      0.683909277747192,
      0.821385119415095,
      1,
      0.515511025790257,
      0.525194405806744,
      0.513835054616422,
      0.831974182494385,
      0.909622039513042,
      0.406399329666136,
      0.777823751367621,
      0.940080862219448,
      0.35678843573275,
      0.555764455144763,
      0.364864664165847,
      0.293465322627831,
      0.235970944368816,
      0.43086962106833,
      0.295415356487066,
      0.460668677685276,
      0.556207227777416,
      0.396888942328554,
      0.352426752707375,
      0.340334437040147,
      0.238584080046613,
      0.30373144647213,
      0.497665491906551,
      0.393367838280984,
      0.45062515067562,
      0.301034947942493,
      0.866312454236257,
      0.958590610692054,
      0.395312788453816,
      0.517382255290956,
      0.428888731292,
      0.313734951915652,
      0.969390043908676,
      0.94451341502539,
      0.397045841011633,
      0.980003607197559,
      0.538927606805996,
      0.333508608045347,
      0.434522486137279,
      0.461147720891901,
      0.364394828668734,
      0.485503519984503,
      0.277894249237042,
      0.324160716810617,
      0.744914813376624,
      0.874637115991449,
      0.769537746007985,
      0.981999346731794,
      1,
      0.682086391819163,
      0.511779039394802,
      0.723442218011637,
      0.621119609451809,
      0.287468634235683,
      0.784476984447673,
      0.349542087657963,
      0.480072678685547,
      0.514976128842457,
      0.620077593099434,
      0.317836282479082,
      0.334214728060591,
      0.611432345797339,
      0.4259362615145,
      0.443938124407918,
      0.419760147494342,
      0.376227185063991,
      0.370475831078754,
      0.242849205189935,
      0.570634834625523,
      0.500827016127596,
      1,
      1,
      0.562728835254235,
      0.268829672380355,
      0.468079766161425,
      0.390491654403887,
      0.387550135296655,
      0.869346264871453,
      0.940618414253452,
      0.605326003144164,
      0.617051443201436,
      0.506224392701942,
      0.330360511479778,
      0.254971436467841,
      0.436482928167143,
      0.424472027830864,
      0.548034632089979,
      0.785796974998345,
      0.508808294954327,
      0.437724260984114,
      0.84073020230543,
      0.846140496261469,
      0.836947936365294,
      0.536661677972601,
      0.681539861349626,
      0.71920270684535,
      0.654511894638035,
      0.691166067014101,
      0.842317918891795,
      0.498564891617303,
      0.582560675099924,
      0.987683918007991,
      0.773183424428588,
      0.868706866012515,
      0.457520012270231,
      0.379609409156094,
      0.390060401723725,
      0.502394684030871,
      0.443615893490455,
      0.778942193072584,
      0.690682726675318,
      0.61181084062256,
      0.350326463674771,
      0.302888181023946,
      0.346315361103176,
      0.332795285483098,
      0.350521953220773,
      0.68559452393081,
      0.762899750490289,
      0.425825142721687,
      0.617121445161399,
      0.699707019491366,
      0.438708001832612,
      0.584856354525892,
      0.866874947633719,
      0.467499400236455,
      0.484605857379466,
      0.842107345167289,
      0.403886372287062,
      0.690676417746864,
      0.432871718178897,
      0.459719105587255,
      0.509936353747741,
      0.624600420706218,
      0.741234593719617,
      0.589663382146006,
      0.719515808995049,
      0.481741671288246,
      0.590840123918309,
      1,
      1,
      0.530815241724159,
      0.381981206993967,
      0.656449561983298,
      0.492543997586052,
      0.413943733382264,
      0.511405068045547,
      0.613022941057399,
      0.413418331737819,
      0.578341966215174,
      0.610032512117913,
      0.269408672705984,
      0.361863622665898,
      0.481951507256951,
      0.54504181153922,
      0.624979636613226,
      0.494740488990904,
      0.521358834218568,
      0.443595789068251,
      0.466958236036213,
      0.506926684688621,
      0.449443207965567,
      0.99583520797255,
      1,
      0.60196893981828,
      0.664185493176385,
      0.584505820507074,
      0.386901172374077,
      0.585712090236742,
      0.650964161863201,
      0.8102544583697,
      0.687087273568587,
      0.414294915113017,
      0.345657993487544,
      0.403313941970196,
      0.536134164802821,
      0.282790332140508,
      0.52696792368623,
      0.495376132246229,
      0.448881836772515,
      0.439281049981779,
      0.583780868833234,
      0.464964188028788,
      0.569676450156545,
      0.458081510604354,
      0.472124179990719,
      0.393188659335602,
      0.687757584344363,
      0.605229547702752,
      0.4141199174566,
      0.462481284957087,
      0.326125076652615,
      0.371042355687004,
      0.638501682401608,
      1,
      0.629175076972738,
      0.497604201332713,
      0.35145564993692,
      0.537680502809554,
      0.474507360247863,
      0.447615027807214,
      0.419389398495356,
      0.433415507206652,
      0.31248945099006,
      0.39384535503097,
      0.695252841463572,
      0.575594550435059,
      0.491958187834799,
      0.982796754895625,
      1,
      0.649567027406041,
      0.227128623868727,
      0.407248378486197,
      0.535382589868178,
      0.401282351223188,
      0.963844665774245,
      0.532466023489823,
      0.484498014007686,
      0.421037770715538,
      0.605926172985442,
      0.315034860081599,
      0.336103966113965,
      0.746098230216066,
      0.670044125773811,
      0.542611358426805,
      0.45572000812246,
      0.564604694395993,
      0.343073046137899,
      0.488403821743533,
      0.336745147007363,
      0.473298821750156,
      0.963555476404909,
      1,
      0.616314004859199,
      0.478354571630015,
      0.614896860028062,
      0.41365690508716,
      0.445827459757895,
      0.73179194577383,
      0.840322176444115,
      0.641472636015913,
      0.604377188226629,
      0.866905826602729,
      0.351051948783008,
      0.505866671410644,
      0.715719651302456,
      0.558207326944237,
      0.531200280913696,
      0.715482275964848,
      0.53701058690341,
      0.653112877792752,
      0.386706043613161,
      0.490016982067322,
      0.810051523843518,
      1,
      1,
      0.604918617700185,
      0.556559120091898,
      0.700061538712254,
      0.439449396099952,
      0.516702005040074,
      0.773708264428278,
      0.558777882196279,
      0.966260187292321,
      0.577637682738475,
      0.6841520327759,
      0.50428825358676,
      0.679588203375098,
      0.859787080598395,
      0.64282146608838,
      0.53297803342145,
      0.979143250548322,
      0.759276029019636,
      0.559824068013832,
      0.416558002596487,
      0.457809892077609,
      0.44795429236377,
      0.994700928603314,
      1,
      0.592587140075005,
      0.595539610379214,
      0.714553359895252,
      0.44219295463985,
      0.607621699536226,
      0.895499938829981,
      0.835648783494553,
      0.889387965117944,
      0.680180035834485,
      0.512041995066243,
      0.745533081539694,
      0.75096442854392,
      0.773379651334972,
      0.409802742381305,
      0.514758269587743,
      0.704376421713768,
      0.529923956194175,
      0.481710425425118,
      0.438310717730222,
      0.309731314643211,
      0.248020762512898,
      0.747913156241587,
      0.403826728599993,
      0.616612839682938,
      0.204072174665026,
      0.313105865819653,
      0.649405462877148,
      0.627015240261841,
      0.406392475788536,
      0.545068227550018,
      0.115635598640586,
      0.454742909897273,
      0.739117791451952,
      0.661520813545077,
      0.800888953097876,
      0.373288105573372,
      0.464792494482499,
      0.679419689612623,
      0.683774876506587,
      0.413155051373882,
      0.840113807194266,
      0.239815167281404,
      0.426847352917915,
      0.645516474162512,
      0.680795789837056,
      0.522759566704206,
      0.708419758374747,
      0.292552779933895,
      0.481934022522281,
      0.516773790118571,
      0.255524671431994,
      0.366315874816964,
      0.512378397711995,
      0.161858144395918,
      0.448666298522697,
      0.859561662583002,
      0.652321392878927,
      0.835129364288453,
      0.550198802320914,
      0.200478559442894,
      0.533454529326552,
      0.700285320670821,
      0.404145860026833,
      0.785578715115379,
      0.794409360409879,
      0.701053945775236,
      0.679448863815222,
      0.725117869745975,
      0.950835206779285,
      0.873996183535507,
      0.736204239544955,
      0.546669417786582,
      0.499681977134959,
      0.536713578694323,
      0.650466039105544,
      0.787374057769238,
      0.583528074076317,
      0.405012999974236,
      0.247265523204,
      0.226658923830224,
      0.381048406267721,
      0.287879078772935,
      0.369931543261155,
      0.829933770504527,
      0.53069604700575,
      0.706498799190594,
      0.853539369033102,
      0.583754583173163,
      0.579732052327077,
      0.484827706172196,
      0.374757159924321,
      0.514429490845935,
      0.454990592595968,
      0.342829178059681,
      0.34983541239831,
      0.339173630330404,
      0.482632581077457,
      0.266632714977346,
      0.372946293898139,
      0.444350734739122,
      0.488968934217646,
      0.28227886703199,
      0.380462044063624,
      0.511864714645824,
      0.331710190581554,
      0.361362178793628,
      0.79186490768631,
      0.31441601482551,
      0.630862259908197,
      0.692429445856488,
      0.577403026966021,
      0.522143898418975,
      0.471471079493536,
      0.442114778965295,
      0.484487363141517,
      0.381499978189683,
      0.422770913471348,
      0.327855621839843,
      0.284952558608161,
      0.291629277810803,
      0.361366901137469,
      0.680643418525083,
      0.392512589854809,
      0.354764945960427,
      0.374543518332727,
      0.867137338496703,
      0.342938440062531,
      0.55252154185616,
      0.417003818786201,
      0.305550093256093,
      0.295231664405084,
      0.628720561814328,
      0.393693041771296,
      0.640677440373291,
      0.532870589706363,
      0.225390248761924,
      0.277003204669662,
      0.271346919222217,
      0.438140992384297,
      0.504662362458655,
      0.29290427414625,
      0.461503939451125,
      0.468080527205069,
      0.215774690291872,
      0.508239829718445,
      0.378126524831698,
      0.52538224629197,
      0.37477391801859,
      0.727503741206344,
      0.499476448006446,
      0.483501191596759,
      0.32567294942649,
      0.189105446186443,
      0.773415279908198,
      0.347078548252578,
      0.693065350787564,
      0.577720271021147,
      0.510204103610894,
      0.194985186842681,
      0.283918051797889,
      0.490659284729985,
      0.633752103909297,
      0.549811977280322,
      0.512226852593792,
      0.707954994662183,
      0.648658644126825,
      0.729007042603911,
      0.408278264397662,
      0.538819663547428,
      0.377691529867623,
      0.290313760128479,
      0.416392185495815,
      0.525489168945665,
      0.274107211372214,
      0.461877538860693,
      0.846735149331521,
      0.470015188999489,
      0.422101603406649,
      0.365143446455794,
      0.407483337718343,
      0.27025028628403,
      0.508214421994123,
      0.280410144632374,
      0.405238618738365,
      0.696234122641371,
      0.36153512009083,
      0.498879492289864,
      0.294835012563042,
      0.257490650533702,
      0.304742192883673,
      0.555373769072353,
      0.356824943435068,
      0.434913501703452,
      0.262060973222744,
      0.547528158460088,
      0.337637193598261,
      0.201841457402795,
      0.425281919272826,
      0.469585564578921,
      0.348814343150303,
      0.615167759825314,
      0.683207936738701,
      0.358130397613115,
      0.489475213086618,
      0.372569455548212,
      0.442149292208171,
      0.349255054266296,
      0.304871944137233,
      0.255721390679027,
      0.301800046078713,
      0.211785031286507,
      0.207422607813643,
      0.688196475517628,
      0.663133427857495,
      0.734740746027831,
      0.419586173401754,
      0.412334223278024,
      0.732005142097017,
      0.521068861810488,
      0.576824263226669,
      0.333906383884713,
      0.308382445957992,
      0.753282572240066,
      0.486978150996388,
      0.660762565870589,
      0.634961634172923,
      0.672394439907361,
      0.239491140044002,
      0.229677972437269,
      0.298474193256785,
      0.365249300046448,
      0.400261243189106,
      0.330346947112212,
      0.357864865764635,
      0.319718176225939,
      0.270882894059848,
      0.536541730291092,
      0.382796523450608,
      0.298103218280774,
      0.409404472503745,
      0.655180308921134,
      0.266459490142191,
      0.54160067112213,
      0.368053357267054,
      0.312664448009527,
      0.707602303899574,
      0.490715139843341,
      0.355421816818393,
      0.646999466934431,
      0.411989032709785,
      0.249517510627731,
      0.215153032456013,
      0.312351927191385,
      0.280191483108872,
      0.474236898003198,
      0.604303839049201,
      0.424584689677981,
      0.433912822936357,
      0.625597453903527,
      0.519321111094151,
      0.452323430821452,
      0.483035770749364,
      0.386781845726345,
      0.558328047624636,
      0.459614216191049,
      0.50942751598939,
      0.633758215618268,
      0.496787060330366,
      0.606115278216347,
      0.722418839327313,
      0.707572721395895,
      0.532878439032072,
      0.582218957089108,
      0.452005017067168,
      0.425691835385075,
      0.456808914872927,
      0.430707046009972,
      0.533675727233756,
      0.585619169952752,
      0.503311803771336,
      0.321151177965313,
      0.325061242284977,
      0.349249067570436,
      0.397610583945797,
      0.397742183142441,
      0.484630673096525,
      0.366907553930476,
      0.263585677953369,
      0.547504737332444,
      0.647198929086126,
      0.611947497248257,
      0.619293792013165,
      0.667020617082935,
      0.436029593502343,
      0.465227196355697,
      0.588877940110936,
      0.532101430042477,
      0.582997781684462,
      0.409412113431693,
      0.347518693393834,
      0.582525222932576,
      0.571887799362569,
      0.593145605439964,
      0.469683467811771,
      0.578504382079481,
      0.410149465760069,
      0.474524183689247,
      0.413164896047944,
      0.40551469306037,
      0.602518509082753,
      0.311200093190282,
      0.501897278402591,
      0.318785842909828,
      0.335234794749145,
      0.369265014920967,
      0.449460638502274,
      0.361121354014941,
      0.5910874006655,
      0.729239315590221,
      0.198624757198207,
      0.285407937912018,
      0.343764754838351,
      0.370820976173079,
      0.488541458424228,
      0.436810138695871,
      0.446857034345697,
      0.330012810654637,
      0.305298107293595,
      0.517935153737788,
      0.428154945120711,
      0.525211536126834,
      0.507836518805199,
      0.600814515291299,
      0.504678420573799,
      0.642292904023404,
      0.37705761035543,
      0.430323887318998,
      0.626988151381687,
      0.614634379442472,
      0.651560674066753,
      0.509022858139955,
      0.418151981469557,
      0.0988879914552552,
      0.306942563669485,
      0.187871351865475,
      0.405329425753401,
      0.322318033178646,
      0.373581511103958,
      0.475694483900555,
      0.616183444148527,
      0.458567568562427,
      0.482523070250676,
      0.348336329868108,
      0.453884969590087,
      0.382190280183871,
      0.369270323984716,
      0.470570895832963,
      0.334078937970433,
      0.394076637269257,
      0.349631416580427,
      0.400260059452704,
      0.523039258151077,
      0.583477686501135,
      0.561984085746509,
      0.569916715254892,
      0.322956509673087,
      0.376207128714809,
      0.368421808060351,
      0.349652091749342,
      0.297963186299888,
      0.505103162412051,
      0.375965433392954,
      0.386845065899526,
      0.655302478704043,
      0.584024794498192,
      0.357635575370674,
      0.535060547680751,
      0.447289596398871,
      0.533304273026651,
      0.263311429157181,
      0.447313055290446,
      0.446981954967487,
      0.284622248543505,
      0.764947892955767,
      0.514510318113998,
      0.577023314316805,
      0.453751234587849,
      0.612443689780876,
      0.220637560413268,
      0.296428310960562,
      0.522205735038513,
      0.552235628664858,
      0.462182324074883,
      0.470598059798282,
      0.446263463490812,
      0.370172589825597,
      0.558064617706325,
      0.350359667770118,
      0.382588249496895,
      0.476481724999011,
      0.432571776148665,
      0.531424362747183,
      0.308112938272378,
      0.5919058800892,
      0.464083903179612,
      0.357913374795676,
      0.625319117583657,
      0.657503723995506,
      0.608822744138158,
      0.543680659344866,
      0.661241313472644,
      0.366940391743566,
      0.530378419865486,
      0.547284837428015,
      0.610611307365079,
      0.574175059133696,
      0.554827013485301,
      0.518226082998683,
      0.631716981202126,
      0.390759775843504,
      0.459278393576216,
      0.487222394621923,
      0.370287444461293,
      0.450288033707932,
      0.747324992786738,
      0.456528460983269,
      0.640355207022333,
      0.516749597314185,
      0.445314351474472,
      0.539760998800937,
      0.48489510521915,
      0.547443920443186,
      0.309569131184426,
      0.429708832574399,
      0.286608903702777,
      0.347279386775669,
      0.530629782539612,
      0.493382512684949,
      0.525060426352191,
      0.694516562879765,
      0.605425343464276,
      0.458295958484758,
      0.419796861179885,
      0.447167783437441,
      0.468444325238862,
      0.64376318026597,
      0.451493790492846,
      0.758279933096655,
      0.454219572137389,
      0.688938179882089,
      0.515791170638201,
      0.497243781841378,
      0.789837033802105,
      0.783721043354447,
      0.815032502631201,
      0.678118534744643,
      0.520612622027905,
      0.505450746986044,
      0.462166824056663,
      0.639007717509688,
      0.441474551440665,
      0.530553912366765,
      0.669408904451107,
      0.706391429793755,
      0.508620187602712,
      0.55861058266331,
      0.280508087092396,
      0.263638100540051,
      0.6733739310986,
      0.438503429280588,
      0.698429653495473,
      0.250090868267843,
      0.267980079102385,
      0.678703641498707,
      0.600508724961608,
      0.471419850488701,
      0.545841058648964,
      0.140906069956602,
      0.45832600962858,
      0.742105665595948,
      0.732079275332076,
      0.767991145589069,
      0.383406278025477,
      0.13827649506916,
      0.68292857191839,
      0.761083794464889,
      0.227061149192216,
      0.807589566604185,
      0.208198312508282,
      0.175247696730164,
      0.674731789483596,
      0.697191479473812,
      0.526949498144525,
      0.705193490667636,
      0.281068775495684,
      0.389699423907537,
      0.554535915341883,
      0.265659502357552,
      0.515350359556654,
      0.547263016208669,
      0.126451191612244,
      0.44091858113505,
      0.920836333225731,
      0.716528427613565,
      0.822124148732725,
      0.565746408316344,
      0.12285986424696,
      0.593102739802462,
      0.773286190971753,
      0.464847377847264,
      0.936130643757485,
      0.984709730600963,
      0.935680025283257,
      0.7010209407623,
      0.835325512666962,
      0.821721533275029,
      0.782771110081651,
      0.611444724737965,
      0.492943298556326,
      0.421326622550799,
      0.525624170953584,
      0.48727779570455,
      0.51909277196527,
      0.571170602488807,
      0.441353307367915,
      0.267555923235935,
      0.471752663197262,
      0.60484437488621,
      0.440052942496563,
      0.236637597364154,
      0.599266340964458,
      0.976308529667108,
      0.744303856337925,
      0.554078722621665,
      0.994963327512056,
      0.807994241302611,
      0.595872257966332,
      0.400462351732603,
      0.557720557731026,
      0.49045094523088,
      0.582578941269226,
      0.654992004261845,
      1,
      0.644370676478245,
      0.413758073524328,
      0.470749175885325,
      0.55049512492239,
      0.753558365113172,
      0.32105523372639,
      0.387616661775295,
      0.281099736722899,
      0.244908981116466,
      0.22806845590341,
      0.751177045948036,
      1,
      0.589331676849354,
      0.605521249196541,
      0.993550413380271,
      0.361439643629639,
      0.953151202403591,
      1,
      0.957296645981891,
      0.513291659851901,
      0.309442135377348,
      0.402689915192111,
      0.332401066129394,
      0.731368097433193,
      0.944897121558965,
      0.652852354547013,
      0.523383179426396,
      0.326980665995862,
      0.364078943345208,
      0.929998483818413,
      0.417960599599742,
      0.599862428248424,
      0.488142005354062,
      0.314386059576762,
      0.384179366814234,
      0.363071021446755,
      0.430531170935501,
      0.85740020272248,
      0.795879410404893,
      0.272952453897606,
      0.347519568249705,
      0.310105603360779,
      0.491465087244922,
      0.408591874092157,
      0.549456811851373,
      0.856470844617053,
      0.533754045753249,
      0.375824871640875,
      0.716279146342937,
      0.431693577398759,
      0.365221620831245,
      0.325283937005861,
      0.761947207233609,
      0.444753242620776,
      0.587962861719806,
      0.633482261254125,
      0.200313433857848,
      0.514132059516017,
      0.386346805560839,
      0.922329512981958,
      0.635317366192125,
      0.820408266823108,
      0.233817867933954,
      0.302548158276046,
      0.253018893932538,
      0.666513675275746,
      0.610345916965066,
      0.584586069606547,
      1,
      0.728306799634909,
      0.796793704885049,
      0.299587494144926,
      0.836202910491381,
      0.404937930861461,
      0.297373864523668,
      0.296490655722617,
      0.312227100934082,
      0.215113649355081,
      0.250152099428851,
      0.676950825262543,
      1,
      0.656845266861808,
      1,
      0.82982190530856,
      0.344101223585822,
      0.608864289513836,
      0.43532512130156,
      0.627212984063112,
      0.610414236860484,
      0.597677660574846,
      0.781573765075231,
      1,
      0.529674758574316,
      0.413711828809211,
      0.592356824618672,
      0.338249268817704,
      0.552636181407709,
      0.340530996093401,
      0.580739759594834,
      0.356296571436944,
      0.280702924156399,
      0.39756853725443,
      0.919944223058283,
      1,
      0.50327515696183,
      0.594564987620735,
      1,
      0.519432293023041,
      0.971552095404479,
      1,
      0.75320250641736,
      0.455410270140033,
      0.575163927207867,
      0.450627559007497,
      0.308702798458548,
      0.24373145804673,
      0.475137944492429,
      0.737163552217942,
      0.670775340885708,
      0.251079603575567,
      0.320152750038457,
      0.995330257720075,
      0.5215142405964,
      0.686562317225939,
      0.381833653682886,
      0.394134251574274,
      0.799651429278861,
      0.644214742985872,
      0.907597744325773,
      0.878930691672801,
      0.822684032488701,
      0.260682349143898,
      0.307923374104568,
      0.276233435614817,
      0.342858514540262,
      0.526455867726306,
      0.71533165239026,
      0.974689935484429,
      0.463762516209652,
      0.342816360485647,
      0.605231435716683,
      0.364955972640731,
      0.206645261620993,
      0.316020938983927,
      0.949152390359201,
      0.534535412025713,
      0.535769705091398,
      0.431104277641599,
      0.283768027325101,
      0.742620300594389,
      0.597771444874569,
      0.539877393399667,
      0.890455126563636,
      0.608119304357565,
      0.217377088523399,
      0.196838171871987,
      0.499372902776835,
      0.590375946624007,
      0.373737967414228,
      0.506934550742248,
      0.98496062467039,
      0.590133316625897,
      0.732473452620945,
      0.605845217857283,
      0.520992194260907,
      0.549558891980872,
      0.384020820778492,
      0.469747492802781,
      0.643015241637398,
      0.453121494667169,
      0.692406065773244,
      1,
      0.990328129986358,
      0.448517327096746,
      0.72401106524318,
      0.738950025569618,
      0.686766066873978,
      0.603102027237735,
      0.600843245427644,
      0.679647492060887,
      0.515811561697978,
      0.753130485531199,
      0.808872953338153,
      0.96676443344885,
      0.408952693739306,
      0.339077269996163,
      0.40724425920971,
      0.516092184878573,
      0.497210157138742,
      0.468272655305525,
      0.429059432504163,
      0.294338612664425,
      0.684977245856637,
      0.676499880121149,
      0.995040177207061,
      0.80057286853202,
      0.719035308767529,
      0.606739290919715,
      0.926394654245012,
      0.624239425738403,
      1,
      1,
      0.829708429602147,
      0.502059323234172,
      0.554306701509576,
      0.556606714240582,
      0.675665008540199,
      0.988704868371827,
      0.995362989472037,
      0.741280807471957,
      0.841343897276921,
      0.329284995031908,
      0.48143734695807,
      0.969758168765082,
      0.550829776796123,
      0.699768985518518,
      0.390965264794345,
      0.342792822820894,
      0.359507811393279,
      0.378370432271885,
      0.479282631029262,
      0.804030998983581,
      0.775684313505812,
      0.23587834810704,
      0.306960806572276,
      0.340347652171869,
      0.413281473500784,
      0.571523826480459,
      0.867467105159728,
      0.991144545605186,
      0.530385442642027,
      0.620392485288871,
      0.741745082489806,
      0.512468546148857,
      0.371622300648978,
      0.492854692817592,
      0.874225848022791,
      0.770390536830756,
      0.624248848481954,
      0.437323372922523,
      0.302173546196476,
      0.726039237806222,
      0.651828447755577,
      0.990489612004165,
      0.844084968960656,
      0.839684099669466,
      0.114847564115839,
      0.19423934205741,
      0.284422262483394,
      0.47723377610028,
      0.299099132040622,
      0.792655528642055,
      1,
      1,
      0.879931932808876,
      0.60008051511092,
      0.442255237995598,
      0.433682667334193,
      0.415460746774855,
      0.341982362426134,
      0.587118779141371,
      0.338714270147035,
      0.570762933085489,
      1,
      1,
      0.93420077054683,
      0.286458084034486,
      0.502202811453042,
      0.703917392760298,
      0.415060560186912,
      0.3834384358903,
      0.414667566898064,
      0.451632140305645,
      0.427822007047951,
      0.792764738240749,
      0.99767861356287,
      0.899467588373813,
      0.744845014775491,
      0.89157194992828,
      0.5022988582119,
      0.471135078708896,
      0.500639985439857,
      0.928993057868718,
      0.424286284763376,
      0.707249254125343,
      0.702698355458555,
      0.364937204384262,
      0.541517905844484,
      0.526670973484644,
      0.962327746136476,
      1,
      0.815282959166564,
      0.238769463529323,
      0.272200162867422,
      0.592706263592533,
      0.451952593355803,
      0.479200583725339,
      0.879936665042201,
      0.989562081200791,
      0.667101148549693,
      0.854284181137651,
      0.497176650251278,
      0.54137632293653,
      0.490467570059339,
      0.479801977094568,
      0.91107872567123,
      0.426587824344211,
      0.737738921170841,
      0.376119665378861,
      0.428544110142913,
      0.769517212905449,
      0.874207234334514,
      0.939963452887978,
      0.952199561063744,
      0.552588624751931,
      0.352767671083527,
      0.302040979525756,
      0.706251156475155,
      0.57949715828521,
      0.533322902261994,
      0.431637897360556,
      0.744611605614645,
      0.797894591283607,
      0.531985959794204,
      0.646106796651656,
      0.686616860238206,
      0.325229573733924,
      0.383830376748711,
      0.982608758567778,
      0.870999751014951,
      0.646562957214001,
      0.565421052204278,
      0.872303138244874,
      0.950142128484749,
      0.938951909489301,
      0.556742973631188,
      0.454119393625941,
      0.558646900529339,
      0.274648005679715,
      0.34693762464746,
      0.533488772017795,
      0.520760927831313,
      0.560031361255478,
      0.70413261334777,
      0.998414207527169,
      0.671513192790771,
      0.539450549299516,
      0.627092435047356,
      0.570971511373932,
      0.426932594349227,
      0.368851751848744,
      0.990500749514526,
      0.466956753297543,
      0.859223009223054,
      0.75139316459514,
      0.693044160495881,
      0.949776230207478,
      0.80316312028894,
      0.876858837624744,
      0.928211296149265,
      0.930401900942109,
      0.805199351306101,
      0.441010322697595,
      0.55953377846011,
      0.461580924971567,
      0.512897911898311,
      0.699977092493315,
      1,
      0.88389428894195,
      0.7588392103372,
      0.348025755885381,
      0.234800079236116,
      0.601874706801487,
      0.29697949726363,
      0.482650676471329,
      0.199904616206417,
      0.224910371995261,
      0.497775737008769,
      0.371487857707227,
      0.338339937625635,
      0.435959893321959,
      0.145245930609208,
      0.388867559599139,
      0.685730278269181,
      0.627115957634443,
      0.680373747793951,
      0.295197810640255,
      0.120187483504152,
      0.536935816216374,
      0.559251050414312,
      0.171307057593298,
      0.684603839474874,
      0.212471310856505,
      0.187841930418106,
      0.542160319104064,
      0.449329542864237,
      0.440042642943252,
      0.546850585030088,
      0.295228652588572,
      0.32403463303397,
      0.459876669927595,
      0.19128336965028,
      0.356100874905282,
      0.418410714452275,
      0.121618478134006,
      0.404765029010767,
      0.747191568733026,
      0.603732634510966,
      0.756534322069923,
      0.472819095046673,
      0.17796317369107,
      0.44672148661587,
      0.704139467363718,
      0.474301129368879,
      0.818434022261592,
      0.680282879655662,
      0.777687780653739,
      0.846123282098364,
      0.702512200957584,
      0.738326475430231,
      0.625434633469021,
      0.457159271778766,
      0.402624793302021,
      0.329082962312281,
      0.421895909021761,
      0.518420076284899,
      0.573531792336217,
      0.706757262351695,
      0.433962829850535,
      0.38771740255122,
      0.383409769917522,
      0.58458605261605,
      0.278225204243916,
      0.285144812361867,
      0.315203105634062,
      0.263652894300602,
      0.343156080614587,
      0.416816931246604,
      0.358541604495484,
      0.60873621630408,
      0.45910325853139,
      0.379390227135863,
      0.525826375390784,
      0.335684110110249,
      0.362840170334229,
      0.346421659368838,
      0.353670302766836,
      0.697620789467767,
      0.324023107898533,
      0.394797903743284,
      0.409531921132565,
      0.737262067037545,
      0.46569357551452,
      0.589547336557947,
      0.248163217460648,
      0.237512332609983,
      0.250950591458474,
      0.455536119450258,
      0.383339502547049,
      0.416584981866436,
      0.4188125876115,
      0.501627047085445,
      0.270220108753041,
      0.497433407847245,
      0.645817060785951,
      0.833858860227724,
      0.480299202728965,
      0.533108561951729,
      0.426413950953723,
      0.237771994671012,
      0.338861215660672,
      0.625396505806885,
      0.748764921664463,
      0.453440277020237,
      0.182961671862929,
      0.320917034109128,
      0.89502112253817,
      0.663000203311231,
      0.523993543178912,
      0.461514064906114,
      0.288082843884328,
      0.250755867636334,
      0.253715440257343,
      0.421267673923553,
      0.593361386250162,
      0.438219864474358,
      0.192699418955524,
      0.298170920918827,
      0.342683172275392,
      0.480558539596425,
      0.597989793437782,
      0.591124323864635,
      0.701840495924038,
      0.692162871812935,
      0.276733404469874,
      0.435748037592845,
      0.339569183260065,
      0.312188845825372,
      0.285663758721979,
      0.671364610889276,
      0.834418721633833,
      0.466297303399183,
      0.415856449584012,
      0.191981371639063,
      0.577975184210957,
      0.515351478650029,
      0.608636100083552,
      0.430144478254482,
      0.377203789266173,
      0.193422342811189,
      0.253636318161094,
      0.155902991752917,
      0.86081568878966,
      0.589455881859735,
      0.299160112370844,
      0.530139734461912,
      0.99221649037535,
      0.704893416142951,
      0.263462260902544,
      0.653652434192162,
      0.614254727355602,
      0.220741384645336,
      0.288760135561037,
      0.192294850035279,
      0.192448507049675,
      0.264920554062532,
      0.34454199566429,
      0.472524186894649,
      0.617615353969208,
      0.496383083162626,
      0.56858650659349,
      0.417444030017122,
      0.481394598248256,
      0.298638638711766,
      0.530246439120606,
      0.474720406889591,
      0.417451248691019,
      0.334763522653109,
      0.315130433270451,
      0.489014496304007,
      0.348934511164049,
      0.523510648004477,
      0.229302447301246,
      0.401356056596501,
      0.288883310219638,
      0.444301523291471,
      0.353631578444239,
      0.181746016638561,
      0.41528753005066,
      0.38018388859215,
      0.374374808881621,
      0.388695274008525,
      0.367765473022346,
      0.374682752942625,
      0.327483475007442,
      0.373973810524518,
      0.397603554119712,
      0.555823381432026,
      0.409567606650675,
      0.462154193252057,
      0.346195302427568,
      0.186419123548952,
      0.24416653025057,
      0.541317411707186,
      0.525332990511,
      0.764575875293199,
      0.25623895254298,
      0.27904260310557,
      0.747837556663019,
      0.817067615622324,
      0.745444383768779,
      0.441041452113742,
      0.29122026923733,
      0.426679246090334,
      0.453406480203953,
      0.439708545009843,
      0.508883104798027,
      0.366847923983609,
      0.214096860121021,
      0.27231005131067,
      0.394338173174168,
      0.343403560263263,
      0.538775904094366,
      0.434658158172355,
      0.686964798646059,
      0.577386527996703,
      0.323721220911995,
      0.601616915071455,
      0.334214336280524,
      0.151715299197954,
      0.279718987861936,
      0.761329563424393,
      0.769986357928855,
      0.555806677777167,
      0.474848289476756,
      0.243795310599958,
      0.493658324191173,
      0.46959288279382,
      0.403798901429741,
      0.521769859871877,
      0.329437676159246,
      0.224538894161608,
      0.248166676431531,
      0.671712486348628,
      0.840115203405575,
      0.428641170976074,
      0.343976010092188,
      0.564791750400769,
      0.556120968116727,
      0.610551140712818,
      0.414910603003185,
      0.449530479559118,
      0.368786012582406,
      0.343564068160268,
      0.590457029782701,
      0.602250791646606,
      0.48794093935632,
      0.493269822047837,
      0.328949185733631,
      0.576454665923883,
      0.310680781563296,
      0.327542806076083,
      0.389480663621702,
      0.672829723097387,
      0.643848303391887,
      0.636888615848272,
      0.428355250422013,
      0.497760042955171,
      0.671716628590453,
      0.376892235640903,
      0.61656263931894,
      0.508848839528727,
      0.368207735596743,
      0.498080674011188,
      0.502614138525675,
      0.603352955811277,
      0.513341496102281,
      0.573608503689778,
      0.411789684064529,
      0.618787607715534,
      0.714850967922449,
      0.39422040658042,
      0.569474704457737,
      0.559777888323062,
      0.608139173822172,
      0.484801816647717,
      0.364187965663308,
      0.227328487479861,
      0.400190892002229,
      0.516176086303915,
      0.594193326548053,
      0.552207469945019,
      0.608615228519245,
      0.444791008860052,
      0.535412066943516,
      0.508369103194192,
      0.620263981607061,
      0.810749894135534,
      0.26105076987701,
      0.401986539129291,
      0.72424066540647,
      0.507081027525122,
      0.638043895466729,
      0.360832979940773,
      0.305554169783867,
      0.309720816864116,
      0.300446924198482,
      0.574704675049412,
      0.423668063380557,
      0.398316947313866,
      0.171541577271106,
      0.24631623141469,
      0.323146585349681,
      0.385514033694039,
      0.496847504468179,
      0.56603437094124,
      0.531281423327256,
      0.722969866196415,
      0.405035598643409,
      0.458538093048158,
      0.434303677774247,
      0.295244925525859,
      0.434882949427681,
      0.729928271187832,
      0.803772686035682,
      0.616508626234163,
      0.536975926579509,
      0.295391177085111,
      0.644248018068729,
      0.642913502305435,
      0.594871334996955,
      0.571415310200204,
      0.376504851285291,
      0.0870788522682371,
      0.255698071578797,
      0.465236053284795,
      0.566712410864282,
      0.425313254772063,
      0.66859103736402,
      0.389806455757079,
      0.51136329738681,
      0.48299376946764,
      0.527768576035229,
      0.385026545007171,
      0.381611350897836,
      0.344686320304947,
      0.268818745692331,
      0.941560332134099,
      0.628426998719901,
      0.756632722847501,
      0.416137597673799,
      0.442504626932893,
      0.477373744621356,
      0.263066462317493,
      0.460264780445431,
      0.3769848826554,
      0.419533367987042,
      0.379046371184238,
      0.476129066511862,
      0.635093677333401,
      0.586989388660042,
      0.617440835312095,
      0.667991039621194,
      0.877826037594051,
      0.504443501071738,
      0.777584088120293,
      0.470627088386339,
      0.406745897352581,
      0.460501787193593,
      0.783079458757534,
      0.653451396680841,
      0.593329665524134,
      0.496449623812994,
      0.288613653220206,
      0.571296464807694,
      0.805291054983047,
      0.502298690580894,
      0.518201900051916,
      0.554672917503425,
      0.238366671282311,
      0.380331095666694,
      0.673672585761912,
      0.5282448048611,
      0.475116797659318,
      0.508862229345655,
      0.809256702328362,
      0.631824923228417,
      0.521965441125609,
      0.569438201298581,
      0.447398606382306,
      0.322337236051078,
      0.459131087831028,
      0.848177919729329,
      0.528026633838367,
      0.687971784817041,
      0.370955933093592,
      0.515954223662349,
      0.615941991845186,
      0.781857722385581,
      0.723236748419261,
      0.664971842597747,
      0.57088163087237,
      0.282902445673193,
      0.293840519019097,
      0.639031606502976,
      0.573546726374253,
      0.641950061818142,
      0.365829996600151,
      0.750961641943667,
      0.699286905858936,
      0.88960928292113,
      0.988735413118822,
      0.696746703012716,
      0.251331894608807,
      0.416307833011027,
      0.610218231433942,
      0.730545538203989,
      0.784089484533478,
      0.650012885904389,
      0.40103620435897,
      0.399576808840579,
      0.406280590689723,
      0.51290254229271,
      0.373438381754385,
      0.419120238743039,
      0.279778264279548,
      0.409000895161611,
      0.653226900858818,
      0.553998093792493,
      0.626487797377045,
      0.547190261467749,
      0.796711391137191,
      0.577266033483954,
      0.590497277919566,
      0.578862824684003,
      0.841780423823035,
      0.313959138557352,
      0.337217446046442,
      0.823967332556981,
      0.764962301138674,
      0.727530851229619,
      0.458476908663758,
      0.729165750224089,
      0.75236219536179,
      0.591567786481971,
      0.626803123605722,
      0.876517251116841,
      0.738625200919892,
      0.520076102361663,
      0.397942851634887,
      0.626323102190521,
      0.796833994947649,
      0.48211611560836,
      0.503885620373508,
      0.64469301002493,
      0.571233245487823,
      0.599084268905484,
      0.5723975066807,
      0.235357436248941,
      0.537260183273204,
      0.249378212132178,
      0.576408376146445,
      0.232702041031941,
      0.260503791541911,
      0.587591625322633,
      0.505173793468086,
      0.273096956321741,
      0.527873034566434,
      0.253779435560596,
      0.622029439905568,
      0.874964704198193,
      0.678703750754685,
      0.676675448348171,
      0.405356386916032,
      0.180841526772608,
      0.598777104295686,
      0.656178439415336,
      0.352353193671527,
      0.737261962291835,
      0.234178736821089,
      0.204257398296113,
      0.654984642921165,
      0.515851132302216,
      0.571486197008134,
      0.71563104917918,
      0.334407612659475,
      0.320043392650109,
      0.529609087430625,
      0.19510370916825,
      0.251807583675718,
      0.557611220863836,
      0.297025685015766,
      0.616575283475144,
      0.948174291771296,
      0.838726358167342,
      0.943062581238913,
      0.594060826961451,
      0.219848627841404,
      0.500333484142296,
      0.969478071791715,
      0.619200118521317,
      0.814274132082464,
      0.772489702710279,
      0.738321815779524,
      0.751049435015462,
      0.80540907571096,
      0.772560307809287,
      0.632174858015103,
      0.37913168579942,
      0.371843451085026,
      0.339591415561825,
      0.324060980203582,
      0.401038824913275,
      0.459386695258541,
      0.761852456123391,
      0.375167721622999,
      0.634177737445186,
      0.695797109933061,
      0.87895685913617,
      0.532953395734987,
      0.502953017642758,
      0.32515215827367,
      0.240934394689197,
      0.300538234587815,
      0.418777097291011,
      0.327143329816235,
      0.586590332835647,
      0.479518635572599,
      0.314847364691279,
      0.580562103600123,
      0.385601071825115,
      0.447959228530085,
      0.363773136105043,
      0.338124100297851,
      0.947440025752934,
      0.748335607599318,
      0.4514040200762,
      0.396760286815979,
      0.579264875597698,
      0.64800314442883,
      0.586281878585722,
      0.433820158542181,
      0.386162734367998,
      0.469076985535679,
      0.515548533521838,
      0.229019750019758,
      0.267154001053376,
      0.373474288917441,
      0.413922728389478,
      0.220061325187905,
      0.261199622165809,
      0.300083492304948,
      0.456029731224405,
      1,
      1,
      0.885937289972411,
      0.294629876265444,
      0.301044726630929,
      0.455881624750624,
      0.38509447424706,
      0.329531909129218,
      0.266515472325375,
      0.268584397101306,
      0.510910372483992,
      0.889326904897604,
      0.89198187731401,
      0.394219707697213,
      0.346176547530152,
      0.369293728842076,
      0.351242106839628,
      0.607108424590154,
      0.625528795549326,
      0.611761964412366,
      0.295260893093016,
      0.407251455980277,
      0.315729455977238,
      0.978369276073541,
      0.993621063729688,
      0.864123294303786,
      0.490521583072989,
      0.906240872927542,
      0.362502239262435,
      0.383518702177484,
      0.314007604778569,
      0.323366038560701,
      0.304305945447896,
      0.566650323531868,
      0.811351229115509,
      0.935407645659427,
      0.480332304827614,
      0.277882500342064,
      0.620232949772282,
      0.940018559596248,
      0.732007695533977,
      0.647970674921338,
      0.537338613922018,
      0.335272257473756,
      0.398729408112127,
      0.280265636732202,
      0.847069334759695,
      0.701208990550782,
      0.370609840071691,
      0.411159410779513,
      0.633231116957246,
      0.38490192811481,
      0.221714507684349,
      0.515402152040756,
      0.753290549753806,
      0.329576236063228,
      0.467927956899698,
      0.339782945443313,
      0.27628570578192,
      0.580840730857997,
      0.417576568963952,
      0.297926773457759,
      0.717298328290044,
      0.412128490481578,
      0.636854972761541,
      0.56857320925303,
      0.692108008370689,
      0.366643472868602,
      0.505159125493508,
      0.618869655683672,
      0.565372433516961,
      0.398119482624714,
      0.280969348517156,
      0.988645199541745,
      0.662426943094436,
      0.452901865063065,
      0.339901805632888,
      0.610405724485636,
      0.413437246161008,
      0.657904945820684,
      0.498833539394997,
      0.336259125957895,
      0.756356482472567,
      0.318016329238834,
      0.215122915542634,
      0.33491307442992,
      0.264077562823736,
      0.20025413442386,
      0.24132598086332,
      0.43999296824238,
      0.338811384251722,
      0.914524015725926,
      1,
      0.999823866068731,
      0.821033185210029,
      0.302294303141285,
      0.336383535708447,
      0.620289360625654,
      0.449362340437934,
      0.579829967943077,
      0.254862858071634,
      0.262447125948938,
      0.492408173664795,
      0.963939486221918,
      0.968039913375334,
      0.648468538627237,
      0.428803211098489,
      0.526133103608795,
      0.897285969918687,
      0.567742191317589,
      0.517484047823758,
      0.672081940165312,
      0.31018718021367,
      0.406283823876095,
      0.56582679184183,
      1,
      0.965065166881514,
      0.327298292704956,
      0.502109082714576,
      0.776387098619955,
      0.344863058359981,
      0.571371629674957,
      0.388141634094575,
      0.190738409374895,
      0.355230556798066,
      0.600545467658897,
      0.974793492890772,
      0.845260479499383,
      0.464195753906829,
      0.391346756392184,
      0.710390856803999,
      0.553345238791412,
      0.521277880256087,
      0.563572965729806,
      0.469242133869799,
      0.245201235286499,
      0.323145613709963,
      0.487786446807788,
      0.839059760963345,
      0.519603946785864,
      0.748303748817731,
      0.518645176290484,
      1,
      0.544837055187993,
      0.300731609296249,
      0.505654311502376,
      0.439626465035594,
      0.552831902368971,
      0.927673099831772,
      0.901494877251903,
      0.94814520462319,
      0.777255312400548,
      0.315636794204544,
      0.431244139585504,
      0.291042915303454,
      0.356019640105576,
      0.400202138403564,
      0.574800630340127,
      0.607552287967496,
      0.732540186889921,
      0.596874763601781,
      0.514916462955995,
      0.662931898050114,
      0.346457342780833,
      0.586947908641183,
      1,
      0.455318351540094,
      0.408803089243059,
      0.482509857690258,
      0.567299374902808,
      0.652469007045689,
      0.827064018967191,
      0.895068838700656,
      0.84809970832093,
      0.956025050950671,
      0.305542787750121,
      0.53301347144494,
      0.888846616268715,
      0.999369652493244,
      0.542306097528998,
      0.41316229167569,
      0.354446213511674,
      0.331007298360108,
      0.568515445381492,
      0.997668128474377,
      1,
      0.976240880408928,
      0.740291971389464,
      0.579396117593378,
      0.558035326080424,
      0.699550038828554,
      0.738159175636546,
      0.267285547296539,
      0.387220571269312,
      0.464598099839309,
      0.97458639668041,
      0.88472556416777,
      0.402891103517958,
      0.332786849688844,
      0.385856687886828,
      0.454245353480187,
      0.697037542625234,
      0.379154060622845,
      0.578922068030903,
      0.286240811568826,
      0.454214294478413,
      0.547109668341559,
      1,
      1,
      0.770351354759285,
      0.461975232160143,
      0.81876791185368,
      0.410213662804281,
      0.563038743014733,
      0.453924139165482,
      0.25285533546926,
      0.443672266329075,
      0.546378584245537,
      0.913799427749044,
      0.739619049871317,
      0.361595938346678,
      0.228047924013092,
      0.81919771230888,
      0.899479521263393,
      0.72889968577862,
      0.458563553639848,
      0.421944840827898,
      0.207036452947789,
      0.650505281519234,
      0.61107897379807,
      1,
      1,
      0.728702974853442,
      0.302219221405132,
      0.475014487766036,
      0.514072719125616,
      0.492115436424958,
      0.309643092695443,
      0.402522807373126,
      0.432701709155285,
      0.480478411324022,
      0.762422848695066,
      0.995798260683406,
      0.989628855116145,
      0.315230544530128,
      0.219746425765155,
      0.363054694103465,
      0.234403260781148,
      0.502622149628145,
      0.374820337629415,
      0.487284206797112,
      0.471966756041963,
      0.628328856575547,
      1,
      0.997036943860028,
      0.731193336669633,
      0.410573537526802,
      0.531022030693542,
      0.508963233927953,
      0.686126265267525,
      0.576348502705321,
      0.449812480839469,
      0.70674505674295,
      0.623053574277061,
      0.920584908874287,
      0.839948272172106,
      0.623296088463981,
      0.257214447640643,
      0.620470568247679,
      0.926767038038836,
      0.518024524667201,
      0.269692454347992,
      0.676177757338037,
      0.351911899318881,
      0.586162157892141,
      0.559261748323912,
      1,
      0.725271654857475,
      0.437713624098062,
      0.736557647881626,
      0.400006238704789,
      0.590946536712719,
      0.670235973238074,
      0.527177596871384,
      0.223393160373647,
      0.400824364004113,
      0.727056229894478,
      0.994476238536351,
      0.879136171619359,
      0.322606090419868,
      0.538889265889751,
      0.844707135606809,
      0.936127717176941,
      0.826561630118624,
      0.436518399620229,
      0.565529745361221,
      0.350177023219113,
      0.520419722977666,
      0.691722348802442,
      0.916686177736528,
      0.924512066094578,
      0.435030256133332,
      0.856975837910018,
      0.744473938202431,
      0.764241900714563,
      0.661732149805201,
      0.482244321484132,
      0.257648072838462,
      0.375701979099866,
      0.439272020568816,
      0.84616736822301,
      0.808746931148271,
      0.569048661079391,
      0.489647098713439,
      0.353340918676364,
      0.244187532029185,
      0.483735754693314,
      0.245688314591642,
      0.532643720271189,
      0.439104465907428,
      0.449412490272659,
      0.760120591849691,
      0.951416302158505,
      0.920328760114528,
      0.376961626579646,
      0.56111368451933,
      0.845934515754506,
      0.375222783950559,
      0.59236586346086,
      0.700597164416053,
      0.323546147310588,
      0.326117608913942,
      0.705909204631768,
      0.91594198526032,
      0.699280143672188,
      0.48364229648115,
      0.988949991973103,
      0.848552314713326,
      0.683449838372595,
      0.555252825524061,
      0.589479810044604,
      0.781413117221365,
      0.56713174023581,
      0.389716602294308,
      0.714191386405982,
      1,
      0.918341563860006,
      0.544923318023122,
      0.521820016623689,
      0.378211805942937,
      0.759408952969081,
      0.721805920421585,
      0.314248237313091,
      0.476340777325619,
      0.241047619152055,
      0.633524794231483,
      0.158503263995838,
      0.239505607328432,
      0.491336797813409,
      0.383486826034163,
      0.272492604210271,
      0.366015691065354,
      0.151310877073164,
      0.415962592571062,
      0.651066930503882,
      0.524277390999078,
      0.583975317479442,
      0.302664346426608,
      0.416609120387389,
      0.573898526351986,
      0.54809927597745,
      0.161224143888116,
      0.612642009486707,
      0.141064105112263,
      0.609282807969165,
      0.526755954362252,
      0.401454656343235,
      0.412179913540336,
      0.577801800901379,
      0.225134045435887,
      0.295014684368223,
      0.424114895493596,
      0.140840696162348,
      0.246309628764873,
      0.374529294569529,
      0.172052533095727,
      0.365367878649699,
      0.64154145289004,
      0.508616548569806,
      0.632714543529984,
      0.400178355524493,
      0.296120555786138,
      0.433163056193188,
      0.529846892453701,
      0.35114188243478,
      0.651267682118369,
      0.755280808432158,
      0.619936032464929,
      0.50303958380652,
      0.601165404578828,
      0.62869551834557,
      0.446082365205226,
      0.263194014814901,
      0.226615967898225,
      0.237142712514171,
      0.209523644199234,
      0.239867249764673,
      0.30023969022728,
      0.684684130598412,
      0.604982706504757,
      1,
      0.71073907827654,
      0.765766117316539,
      0.989637680702355,
      0.814468205833984,
      0.260004129826992,
      0.212087360560933,
      0.287826832329449,
      0.320487957035676,
      0.23930643744617,
      0.673957765395275,
      0.536664595892264,
      0.273342342514922,
      0.67870551046648,
      0.319245388506514,
      0.284120172535307,
      0.333288879043988,
      0.293360534940237,
      0.252734749454134,
      0.299948067597504,
      0.329189512424253,
      0.264800623021936,
      0.613315777960253,
      0.933943029458777,
      0.624978186341276,
      0.797739431320227,
      1,
      0.579290312898208,
      0.403140203687847,
      0.207492570794805,
      0.405680155192244,
      0.340214717579169,
      0.374859385256275,
      0.239305786094773,
      0.330250137228693,
      0.311786898533538,
      0.367592087307257,
      0.311193478267957,
      0.362943364504683,
      0.645628727361172,
      1,
      0.99739337490976,
      0.5867108301505,
      0.249615737604593,
      0.312519352665804,
      0.281830204954544,
      0.26806787563519,
      0.39373207506465,
      0.347720671197571,
      0.42896695238844,
      0.414877319560741,
      0.241466445712572,
      0.269325586145234,
      0.322385900919981,
      0.553522024440135,
      0.428995715039515,
      0.684387841398225,
      1,
      1,
      1,
      0.485014067280054,
      0.453646704632925,
      0.300760988157007,
      0.389526667340362,
      0.678235515776234,
      0.933230317823075,
      0.397545899078108,
      0.277432460514407,
      0.307147903297559,
      0.251541570212855,
      0.43147333938116,
      0.343075683862713,
      0.420036513632269,
      0.46552621227546,
      0.181574104624529,
      0.401094135779767,
      0.403129339052278,
      0.463709764240282,
      0.461191707276215,
      0.518756731925553,
      1,
      1,
      0.783642209089054,
      0.410617494544273,
      0.484539501776102,
      0.314190765911698,
      0.323615651419505,
      0.40644344277351,
      0.26408271531072,
      0.136841185579802,
      0.233029571478321,
      0.83048604252176,
      1,
      0.801473805396751,
      0.785464504671823,
      1,
      0.65229182747178,
      0.324033091309447,
      0.272903489510156,
      0.872746451231589,
      0.453972803877682,
      0.304941223941858,
      0.960774828897465,
      0.748556449764668,
      0.373025607250204,
      0.625182174247777,
      0.689537589639045,
      0.467113151517999,
      0.359095244881523,
      0.325353548040577,
      0.255348980268915,
      0.478073243359796,
      0.335124539607143,
      0.358684765350083,
      0.850332400517775,
      1,
      0.603673563266984,
      0.662520310921124,
      1,
      0.561878714225558,
      0.39084197177205,
      0.23539930300221,
      0.435406974436086,
      0.268851131781118,
      0.179015410871809,
      0.198829838665631,
      0.351871336920658,
      0.281155914912251,
      0.521647526001344,
      0.363833979617583,
      0.325850842383848,
      0.663359946316263,
      1,
      1,
      0.669583146501568,
      0.287540145478241,
      0.306553158749219,
      0.281432639900183,
      0.237697287155236,
      0.339564767135998,
      0.53834389746724,
      0.676482897566925,
      0.442222891463187,
      0.252453410181376,
      0.304065204576315,
      0.406649797427574,
      0.363006440446246,
      0.389455276152183,
      0.691422917142848,
      1,
      1,
      0.868502250117952,
      0.269118086752722,
      0.358694442363597,
      0.240753547575856,
      0.365618576052204,
      0.716572963749687,
      0.703917051754627,
      0.456097470969907,
      0.309414434986587,
      0.213525237693369,
      0.243740026985663,
      0.346594543432483,
      0.268585370494941,
      0.3968897898258,
      0.431105827395502,
      0.272333478704827,
      0.414197911125445,
      0.244612384432955,
      0.356539398688714,
      0.395138221175235,
      0.747211886817689,
      1,
      1,
      0.823806076089743,
      0.284264953592145,
      0.403577868140929,
      0.431742756386737,
      0.358451986388335,
      0.580976069863221,
      0.414455579606759,
      0.223676215418942,
      0.388057941143994,
      0.973585841045576,
      0.811455019313128,
      0.323421814320974,
      0.747882009047591,
      0.448209061681931,
      0.464497255820068,
      0.437405899729822,
      0.497635927774862,
      0.355291379099579,
      0.247896834204817,
      0.253568482960696,
      0.423376946404987,
      0.37271969109768,
      0.635047152332797,
      0.347209497157896,
      0.404223929624309,
      0.641240371731161,
      0.362120133746472,
      0.548586162196765,
      0.279506414294786,
      0.198039830745045,
      0.237773669066267,
      0.384263843158521,
      0.996995158054799,
      0.838262232890423,
      0.265281017703049,
      0.733890934171233,
      0.533221818213901,
      0.544574413347848,
      0.316385195680837,
      0.586768395666879,
      0.744947584414655,
      0.600628612986525,
      0.450949262666668,
      0.588120988356133,
      0.384011061217137,
      0.370882238368161,
      0.378023277143677,
      0.362484519511815,
      0.35272310181032,
      0.687743892575518,
      0.693440400851865,
      0.667720989844225,
      0.624357105960077,
      0.48576710546519,
      0.573631777959156,
      0.250179236209939,
      0.257236242527836,
      0.358479657109207,
      0.380334042806426,
      0.398697469807606,
      0.375141508585639,
      0.307859324083444,
      0.351003992302322,
      0.321576566438481,
      0.536129464995955,
      0.355072262285353,
      0.754091405753331,
      1,
      1,
      0.955252226064149,
      0.371166994247056,
      0.413413160610706,
      0.334940377893827,
      0.420449319949218,
      0.768464012499869,
      0.726654641674597,
      0.341362776704369,
      0.295855989455411,
      0.219041274839215,
      0.388233963035012,
      0.545682779680375,
      0.381348288988552,
      0.44835425240782,
      0.454614774973209,
      0.241509281256043,
      0.509721562470949,
      0.581379463387557,
      0.535801799381081,
      0.456051002651295,
      0.705434354245564,
      1,
      1,
      0.97945620713391,
      0.455938988301564,
      0.375860168722175,
      0.395373685771498,
      0.341305341910807,
      0.384216324546958,
      0.281184738208946,
      0.338744976413505,
      0.356703519198228,
      0.910824417466584,
      1,
      0.963554660939003,
      0.597264688043567,
      0.370947491087972,
      0.400908822745247,
      0.210476707636559,
      0.245955705294009,
      0.311814599405064,
      0.151401946440979,
      0.346223543239096,
      0.536299226665003,
      1,
      1,
      0.926199076766917,
      0.403253982486325,
      0.380481138611038,
      0.268777741025421,
      0.288592720032929,
      0.386003693401543,
      0.255639844460541,
      0.304921631488222,
      0.498799871136159,
      0.45204962363574,
      0.380504306005062,
      0.478935886676929,
      0.28537235981317,
      0.415914876049136,
      0.493966692940523,
      0.22664570815859,
      0.389053684089171,
      0.462372280306474,
      0.490356356987271,
      0.30019601991123,
      0.719515810285054,
      1,
      1,
      0.917334923265033,
      0.378716933134753,
      0.446567959217178,
      0.289237855863269,
      0.611978888671546,
      0.911579253311645,
      0.512667794793274,
      0.962651173826814,
      0.333997404411044,
      0.292263990493616,
      0.405530998461127,
      0.669726886681362,
      0.369396193609307,
      0.444734229797688,
      0.315460400806695,
      0.224101464394763,
      0.426271833443352,
      0.636111033544803,
      0.527523713771932,
      0.343905821600203,
      0.639191749075902,
      0.999503933929509,
      0.991667254286349,
      0.887696128645123,
      0.373810877366125,
      0.372059343303692,
      0.332590809013519,
      0.695332419874564,
      0.620840681842564,
      0.466834657834936,
      0.330080549272265,
      0.311715471871226,
      0.210756310404391,
      0.267845034952531,
      0.361000654687211,
      0.374880023126635,
      0.517556268325755,
      0.52923849768535,
      0.286993800248397,
      0.199874823594597,
      0.224185629076437,
      0.448310084222968,
      0.204019254602088,
      0.716207134209001,
      1,
      1,
      0.705306965659107,
      0.391987490084531,
      0.428754724660883,
      0.287055274647173,
      0.572319438881972,
      0.816745240524042,
      0.846510643585706,
      0.435574086605842,
      0.331404433092933,
      0.293278438684001,
      0.292765881081842,
      0.446664338652284,
      0.406623643306781,
      0.6096390479283,
      0.298360312537271,
      0.527572763506364,
      0.574375624565492,
      0.572425597304218,
      0.625133830995996,
      0.632188125731292,
      0.619693061126413,
      0.724486578939252,
      0.888995635083734,
      0.887864895571865,
      0.501640253677139,
      0.712352865725386,
      0.46004625893807,
      0.422963082343788,
      0.325187333418664,
      0.648516522231347,
      0.727621058781597,
      0.39708607675864,
      0.420870102042583,
      0.295280799072027,
      0.466161407999895,
      0.284522534474638,
      0.370038161486322,
      0.532664555705134,
      0.64982164659366,
      0.517212664162158,
      0.327175329200933,
      0.143258328366246,
      0.348695384610738,
      0.56229810376194,
      0.45486230183165,
      0.518362993894748,
      0.291569120978145,
      0.223282522607944,
      0.466532599592278,
      0.510632596250111,
      0.109410176342632,
      0.552273994707288,
      0.201891184868096,
      0.318985419751387,
      0.439374672453865,
      0.345006025733066,
      0.458803403162946,
      0.496259046973218,
      0.228470557599692,
      0.52715778212785,
      0.500245823965955,
      0.400348778037517,
      0.47336327810673,
      0.329664219988212,
      0.215103749781925,
      0.371802255107907,
      0.571283393742944,
      0.414102964504356,
      0.55150623773691,
      0.374931521236901,
      0.177306128845541,
      0.39160691202196,
      0.453850745246304,
      0.632076067641315,
      0.5314433273728,
      0.617452483397762,
      0.526659060432662,
      0.440621390492749,
      0.401475589539718,
      0.480372471173473,
      0.379586551108169,
      0.221780850037909,
      0.255692340872731,
      0.206374367670011,
      0.182916643381617,
      0.244835566468477,
      0.255862177800952,
      0.439588004838968,
      0.336220274385867,
      0.450375411078155,
      0.337211351042597,
      0.362017530608999,
      0.303892251775806,
      0.341894594525055,
      0.145299006451268,
      0.178078352346662,
      0.226963644200658,
      0.249676132139211,
      0.177402731774539,
      0.332215104681092,
      0.637047182987683,
      0.388966014758891,
      0.482716869724922,
      0.462470637005118,
      0.421057076481233,
      0.418152982302549,
      0.215861112761276,
      0.20502330521119,
      0.36797648687523,
      0.243609334495149,
      0.221015093071053,
      0.42932054411622,
      0.463823401746606,
      0.475778126774551,
      0.326931717435324,
      0.442533637699633,
      0.290796683514611,
      0.305785337361656,
      0.152900813142482,
      0.17435498194793,
      0.236718669909831,
      0.274114277641302,
      0.173245412337947,
      0.216970174496664,
      0.226229001602687,
      0.326315875837424,
      0.239779610747801,
      0.188484725434206,
      0.229834577343925,
      0.214042450938464,
      0.336336690934586,
      0.402393656053116,
      0.245281265194109,
      0.320545086788017,
      0.262847561434828,
      0.211430189252095,
      0.373571552989421,
      0.324736358932391,
      0.460653188925941,
      0.411073726329538,
      0.159802872456193,
      0.228966976037248,
      0.319828249070797,
      0.611059154367495,
      0.528333075573159,
      0.540443690644311,
      0.213061893161546,
      0.242814441644679,
      0.322580233454896,
      0.410629179754445,
      0.239486786552744,
      0.258612450731654,
      0.29309023035845,
      0.340000068426312,
      0.391459642200892,
      0.399485374249245,
      0.263626420355625,
      0.267542575003156,
      0.22204957297077,
      0.523146623563345,
      0.324621954873533,
      0.410239387527604,
      0.461943552236658,
      0.177211753135934,
      0.411362037463406,
      0.324828330161594,
      0.461214224873636,
      0.379033385033088,
      0.344492818758473,
      0.194801574929018,
      0.340019858055801,
      0.221025809561142,
      0.304807330089504,
      0.383569757958078,
      0.244517884847083,
      0.252815788575414,
      0.371934142421685,
      0.227121285223847,
      0.104170233545769,
      0.186986697229764,
      0.485289183313667,
      0.406822560081457,
      0.381246320125202,
      0.283198912369419,
      0.255330922914044,
      0.280087582390149,
      0.238647429326143,
      0.181370468403759,
      0.386241917584389,
      0.315868226414942,
      0.183749833047287,
      0.394485933769306,
      0.642893078279669,
      0.379373369556415,
      0.666017464715269,
      0.654488733029532,
      0.606726403136676,
      0.496020793820608,
      0.207949990138108,
      0.189670002207423,
      0.366676745126835,
      0.319722079605954,
      0.315662423514774,
      0.43356691890294,
      0.358914106833966,
      0.368010870381729,
      0.43772839478348,
      0.402037102334872,
      0.407689822056276,
      0.263759282565856,
      0.190745489684926,
      0.191707626815131,
      0.169170128768006,
      0.17331940961062,
      0.156117831810154,
      0.250839188732967,
      0.17812994312535,
      0.234136073598803,
      0.266865522221324,
      0.239191108493143,
      0.228774741346593,
      0.206833307359064,
      0.261118664092215,
      0.517310189498261,
      0.280810408413769,
      0.310106072624723,
      0.290219168631208,
      0.1894134949087,
      0.274062996955112,
      0.298276478820274,
      0.440292701518503,
      0.52748817805835,
      0.181686570295287,
      0.353566448411193,
      0.279126165914271,
      0.459298776403364,
      0.446565765745756,
      0.370649143102153,
      0.254872448932799,
      0.3869325696532,
      0.311251397447067,
      0.268810132109816,
      0.186065748997456,
      0.168153993310138,
      0.249957385663871,
      0.424224538334791,
      0.473210147485715,
      0.385084958750744,
      0.302990164579004,
      0.181416802202996,
      0.218313110870377,
      0.293260614871712,
      0.273470933857299,
      0.434726137272577,
      0.367369761584935,
      0.178934892934159,
      0.251473943017537,
      0.162855816464211,
      0.396126309768809,
      0.374540918556645,
      0.454772664407423,
      0.244508815565117,
      0.236452616456881,
      0.174178378175417,
      0.421449381521963,
      0.364902934630617,
      0.281189625904931,
      0.284136670723999,
      0.357000140363303,
      0.433979749369915,
      0.222137178374051,
      0.394317430079689,
      0.501421587676391,
      0.310648904659617,
      0.208604740122852,
      0.351246691138792,
      0.309955773570624,
      0.446432167053506,
      0.280258276661167,
      0.357543769060104,
      0.261730463982478,
      0.27499874596495,
      0.282738592288325,
      0.46398972734019,
      0.409751778681746,
      0.512617954854111,
      0.639231823873188,
      0.530088343747556,
      0.624879778906855,
      0.305869116504076,
      0.313581802632894,
      0.216215056128787,
      0.231839289052338,
      0.211308738818777,
      0.454061259809212,
      0.397027423383864,
      0.359755712869386,
      0.216800594371944,
      0.226600212826545,
      0.33563608173975,
      0.35924852585702,
      0.216086184795011,
      0.372555023285698,
      0.564810449950821,
      0.350718135331822,
      0.294642636434994,
      0.408697207720827,
      0.295420823980923,
      0.243853245176056,
      0.300541949134641,
      0.333213911483132,
      0.299832347386007,
      0.390709862122802,
      0.284904792595586,
      0.26567207156255,
      0.338946422672577,
      0.295528143290653,
      0.347679898770005,
      0.211391572576724,
      0.220609654076333,
      0.353024038088695,
      0.271252614021773,
      0.342549672558377,
      0.338646755110429,
      0.251952234910464,
      0.312602937844754,
      0.309589530922751,
      0.454763982880198,
      0.381633730414728,
      0.436418867231383,
      0.167627661973357,
      0.253880953747133,
      0.314313085279086,
      0.325294982039079,
      0.301845903650824,
      0.279569107277135,
      0.245299389419072,
      0.30367524228014,
      0.494501744967926,
      0.483169754132196,
      0.302460685564778,
      0.163862322741023,
      0.364796826314552,
      0.387096193258211,
      0.407054336832212,
      0.52994498024888,
      0.401080045598168,
      0.218635414685406,
      0.443236717148204,
      0.567536118370082,
      0.459615545731682,
      0.505378145544073,
      0.4027664835468,
      0.24881382812707,
      0.327832702462408,
      0.392199210690244,
      0.296869251268518,
      0.317144127209417,
      0.294589854081576,
      0.249125640926107,
      0.253212636137833,
      0.256471960390959,
      0.398533248249702,
      0.525622215854634,
      0.375479318041214,
      0.383569166118879,
      0.330789139271919,
      0.422779774237858,
      0.247897170060335,
      0.238127948356177,
      0.132619267690218,
      0.177897011033621,
      0.25899822166094,
      0.139512598095231,
      0.253868185646472,
      0.373147772261888,
      0.47291346383827,
      0.441658552754699,
      0.38539726819164,
      0.24291701944021,
      0.225955213936817,
      0.208713461096482,
      0.150850860948564,
      0.308636776070202,
      0.323682812340981,
      0.213786580668809,
      0.315613912722036,
      0.285519890921566,
      0.378720472304441,
      0.575024060179503,
      0.206005665723723,
      0.371381853290353,
      0.517860121767254,
      0.185193271130939,
      0.330520135220761,
      0.291204183446752,
      0.328991384705684,
      0.27681337496775,
      0.349499388641629,
      0.235411942642378,
      0.241780054139829,
      0.258953094039823,
      0.273587243849113,
      0.530834102372115,
      0.284622410671407,
      0.307542639442647,
      0.505623886641068,
      0.620812043536049,
      0.492211207197878,
      0.225704216350439,
      0.216205934922908,
      0.311375944201417,
      0.40515595091787,
      0.26898884392135,
      0.389831856672455,
      0.218206306506964,
      0.208037685465387,
      0.484640210975755,
      0.615891517222759,
      0.558852411096693,
      0.382671271443467,
      0.391315481145116,
      0.367937451097742,
      0.398040206102181,
      0.348726042690415,
      0.265796562801797,
      0.28391148993362,
      0.260511680039701,
      0.435775920202211,
      0.342755518812,
      0.370049589085252,
      0.40358856634235,
      0.248856162162503,
      0.188841355740869,
      0.233185466671008,
      0.353264646303276,
      0.425990971603938,
      0.428726858640403,
      0.529508421863939,
      0.361863355577332,
      0.316569123890553,
      0.19395847994632,
      0.324274510736526,
      0.213361836382678,
      0.310250997047216,
      0.453992235081501,
      0.396126728817185,
      0.271300974450387,
      0.231045910109629,
      0.303576772207061,
      0.23162085316872,
      0.343877749024254,
      0.44561427900722,
      0.531528795508782,
      0.429840504635913,
      0.249189021925203,
      0.186723361628533,
      0.215601529656862,
      0.311999875083963,
      0.372433741238253,
      0.508841966133158,
      0.401083222835799,
      0.459517552167255,
      0.571954235295152,
      0.552306845977055,
      0.405737917415903,
      0.448664458556329,
      0.459611283854785,
      0.429888350156009,
      0.491724590295325,
      0.575992027411897,
      0.269264721184587,
      0.447252092258221,
      0.47241059989154,
      0.339353789098938,
      0.334728253703057,
      0.908406186617886,
      0.673286597097264,
      0.253742165700491,
      0.372181211744234,
      0.43602262201817,
      0.500705899681148,
      0.641280266134086,
      0.558576291951613,
      0.731618105734922,
      0.583207761039383,
      0.817456037970511,
      0.32031865174782,
      0.300479872321995,
      0.716531151541934,
      0.499312601157604,
      0.670979243360517,
      0.598424404612772,
      0.379402390772211,
      0.523227439369958,
      0.532815908690336,
      0.747613626163083,
      0.142064109755169,
      0.529265283758159,
      0.275870363779855,
      0.385373593618714,
      0.54272504307116,
      0.468472903236287,
      0.534765254614729,
      0.508880564048471,
      0.451670209531507,
      0.725406466171833,
      0.651003424709757,
      0.645054700414886,
      0.844125043884774,
      0.321477749219692,
      0.288540227345357,
      0.709117169649847,
      0.572362293499912,
      0.658938560340449,
      0.643636892038418,
      0.381365556489484,
      0.327026235720714,
      0.552796927705919,
      0.458268600869355,
      0.822208209779224,
      0.516197060171186,
      0.676800897314982,
      0.520311723767619,
      0.537592126533438,
      0.489772561634268,
      0.469620689245666,
      0.482827195190623,
      0.339937441988185,
      0.23865308284583,
      0.270501305827358,
      0.304844204285783,
      0.309871395249046,
      0.38144078628751,
      0.761437027189355,
      0.777522382858703,
      0.27578535521412,
      0.182773673853827,
      0.263642209876083,
      0.187088120324876,
      0.208339744341027,
      0.223161896447582,
      0.215230924012399,
      0.181551829818026,
      0.228861368203625,
      0.203353917806474,
      0.411512219028526,
      0.929370725077952,
      1,
      0.800585917062534,
      1,
      1,
      0.842300898697637,
      0.245446806922225,
      0.218942895850532,
      0.400769184524559,
      0.241711436075638,
      0.574435266006941,
      0.783736602232293,
      0.243898018172508,
      0.241934159489431,
      0.258899043859824,
      0.185039151148863,
      0.232825884553061,
      0.308439043404754,
      0.131235647317387,
      0.230867764302107,
      0.213530709542889,
      0.254283350050067,
      0.241786344639915,
      0.260493812763408,
      0.241106139519848,
      0.509194560801527,
      0.400679754817263,
      0.323523961646953,
      0.366166529754567,
      0.180392239421606,
      0.219645174570611,
      0.697125394004302,
      0.472397649289751,
      0.638476855332127,
      0.513985498409402,
      0.334564847914243,
      0.594243746131481,
      0.397900847652826,
      0.479022146203421,
      0.892977573290884,
      0.309862719661495,
      0.407328371607128,
      0.441152921926166,
      0.894851387039455,
      0.795389506368213,
      0.746225251813937,
      0.237543530160925,
      0.261922003777974,
      0.321662921953892,
      0.637309697502759,
      0.309216508925145,
      0.317522065614377,
      0.490295688945868,
      0.360560848379156,
      0.565156768562833,
      0.679305212661379,
      0.390563409091594,
      0.326128121811495,
      0.32714536836079,
      0.584209900296617,
      0.426636222746839,
      0.556045651989148,
      0.785362735249665,
      0.240416410824946,
      0.444093323893949,
      0.594556671270019,
      0.587177205190786,
      0.892645201389047,
      0.674787168630117,
      0.168277888374094,
      0.223251101496857,
      0.206123506749142,
      0.353811803536467,
      0.925459825434788,
      0.460988140173383,
      0.358294329298712,
      0.471333351195439,
      0.272273143001201,
      0.275639207990698,
      0.362202356761712,
      0.40961499274682,
      0.255984859573141,
      0.243170102599347,
      0.174271905720878,
      0.115827233250032,
      0.209297962335195,
      0.418424328367059,
      0.312030523314127,
      0.398357805231544,
      0.404328190577784,
      0.171785494982364,
      0.18781685191164,
      0.9375499437804,
      0.967244721917469,
      0.981580097432851,
      0.936878657579422,
      0.9870307202074,
      0.71413475805922,
      0.347549233081221,
      0.275976012759156,
      0.403361452252533,
      0.32748528273312,
      0.61455026592951,
      0.593552594135413,
      0.171045143614,
      0.508668947463563,
      0.332013852759141,
      0.281708570039125,
      0.30660100019214,
      0.251032723622512,
      0.143163450876404,
      0.270706156397221,
      0.200035798427024,
      0.186147361451473,
      0.232922254153462,
      0.233019817131583,
      0.267590825356595,
      0.218682235117143,
      0.352735315768001,
      0.240078078606462,
      0.335021946819003,
      0.201571477856967,
      0.166205456750556,
      0.790709433498923,
      0.375371144614225,
      0.518789875692623,
      0.626497704419411,
      0.288566227822958,
      0.542750040042196,
      0.327146300731317,
      0.458514204820723,
      0.624123966699513,
      0.258005670092894,
      0.293142569183002,
      0.25264767040877,
      0.597781239517432,
      0.810126986588309,
      0.724996608886652,
      0.182518027385296,
      0.164393790047389,
      0.263867268744151,
      0.347962692922941,
      0.327740864930727,
      0.234108765264085,
      0.35978088455409,
      0.30453812776391,
      0.858273027104847,
      0.463551589478686,
      0.292353225461251,
      0.238153545779412,
      0.391181338900859,
      0.470593585315685,
      0.289346918703707,
      0.393106133843599,
      0.855818261858339,
      0.350128611294054,
      0.284407784373945,
      0.344481355421344,
      0.986964988326412,
      0.750285567384376,
      0.744860727021517,
      0.290133503006724,
      0.19003195431285,
      0.419336124467827,
      0.736211633360243,
      0.616952740488021,
      0.33461186612807,
      0.232920408638893,
      0.355109225257832,
      0.550522475466624,
      0.419404578978293,
      0.518082599879746,
      0.319532780449538,
      0.266194300766057,
      0.330195599652725,
      0.41735522641139,
      0.44657256794769,
      0.510144035627761,
      0.285849911956198,
      0.294920393086511,
      0.401376582580647,
      0.247628891343734,
      0.28204744676776,
      0.727594780379451,
      0.8981187740203,
      0.973554869857276,
      0.879062566105448,
      0.948814170693525,
      0.868135059365334,
      0.251842742193805,
      0.310785273499932,
      0.205347769861101,
      0.222775832258133,
      0.244328735588547,
      0.831735938297671,
      0.370266972694529,
      0.25544198449053,
      0.209030040468455,
      0.199439953702928,
      0.350367930206774,
      0.431226735565034,
      0.218132417432288,
      0.38672761324118,
      0.60423984031083,
      0.257260037081971,
      0.213281357356556,
      0.310237812816244,
      0.290883667008361,
      0.260028203730538,
      0.363313533804411,
      0.35552366468051,
      0.332086124091105,
      0.444107302702478,
      0.368708310088169,
      0.222893265606966,
      0.457751474135436,
      0.417239883980806,
      0.630602156585455,
      0.278372536210316,
      0.355740680698645,
      0.451742185797689,
      0.257900131239409,
      0.473455486216871,
      0.815089125551577,
      0.394671238758766,
      0.507427916336021,
      0.583441728603188,
      0.948279461437952,
      0.833555440770712,
      0.749146111102345,
      0.165171926838034,
      0.254950278542806,
      0.30042690310237,
      0.564076017939441,
      0.380934728460238,
      0.355870405466569,
      0.362009415621407,
      0.297455334252706,
      0.79574752646928,
      0.6968011180313,
      0.408417008970158,
      0.324979931158895,
      0.433621933016365,
      0.408913224651024,
      0.47726729439936,
      0.650093254443963,
      0.843573090733581,
      0.407604307463968,
      0.41168994637431,
      0.738277069926969,
      0.337100433014118,
      0.800581256727444,
      0.379503033475609,
      0.12224151947984,
      0.209641147774457,
      0.431377982308865,
      0.471998808042174,
      0.456379457463501,
      0.352492749547376,
      0.291232575765881,
      0.28265264452071,
      0.428384845086141,
      0.740648852718961,
      1,
      0.523971752713912,
      0.28494970959867,
      0.208007508433037,
      0.466402065092265,
      0.327217479327221,
      0.343471078534005,
      0.183377984313153,
      0.286596991964359,
      0.342188179564678,
      0.213075817525425,
      0.292669144032122,
      0.255240917045204,
      0.300705730622799,
      0.446211424514967,
      0.319038757499908,
      0.428568549651588,
      0.322880558038117,
      0.288351614821181,
      0.293476192011228,
      0.464745854727421,
      0.372278857102792,
      0.380253971699288,
      0.644187221843823,
      0.484417069638698,
      0.414568807793745,
      0.410557362994544,
      0.243524012947978,
      0.3327802790864,
      0.607715610771013,
      0.285056473089045,
      0.366801200202096,
      0.319652706181791,
      0.553806434614399,
      0.470492154588747,
      0.646273654788334,
      0.209322173266316,
      0.192312338663389,
      0.25317689662447,
      0.37603681725893,
      0.963863835917039,
      0.350515359227927,
      0.316868194417703,
      0.209533190035166,
      0.836494917007056,
      0.373720560356466,
      0.320924134950845,
      0.293843969295238,
      0.374362667132689,
      0.441687636061396,
      0.321219114739733,
      0.519978062716986,
      0.315706732810699,
      0.215454042109161,
      0.475445206337361,
      0.702229418143458,
      0.702641695790304,
      0.569290323391983,
      0.555432156295023,
      0.311360918189462,
      0.222140608918085,
      0.411238152294849,
      0.487882594216487,
      0.373558815896633,
      0.44671771050007,
      0.537319918700493,
      0.591210979706719,
      0.412535796184797,
      0.310090495983813,
      0.320897746154487,
      0.231381850552644,
      0.267004296991121,
      0.404351842720522,
      0.33348094973367,
      0.583489868857555,
      0.621277672517821,
      0.367999011721576,
      0.197764808758149,
      0.192125821190277,
      0.413808709018484,
      0.380633297280515,
      0.771630907499371,
      0.227318811874161,
      0.231512336433969,
      0.275438258521853,
      0.277108589131612,
      0.302132055211646,
      0.283402267369838,
      0.363360274956236,
      0.393338471239013,
      0.702988061905082,
      0.657375003225187,
      0.572425487730811,
      0.259880484945478,
      0.329450066352607,
      0.389396966047065,
      0.40915302135184,
      0.620305336455928,
      0.474473377934291,
      0.47091899133912,
      0.497321798729045,
      0.492857267251512,
      0.456535631946284,
      0.411462984199352,
      0.478973510413389,
      0.370500066565912,
      0.313142787574733,
      0.474525709664154,
      0.30298268578577,
      0.452760801974122,
      0.560276418709459,
      0.341951732976742,
      0.387298046588423,
      0.854310326017252,
      0.907427972919378,
      0.312690344002325,
      0.330136661700123
    ],
    "tonnetz_curves": [
      -0.031575954694298,
      0.00830233195649408,
      -0.00676432337380118,
      0.0673477352853811,
      0.00291175771809988,
      -0.092450541192108,
      -0.0590231945054233,
      -0.0262958098177837,
      -0.0412839328395052,
      -0.0229582987273905,
      -0.0228128354797006,
      -0.00280904931135707,
      -0.00570596997673134,
      -0.0750229001928254,
      0.143226317231445,
      -0.0211450686265306,
      -0.00245041493892081,
      -0.107210974800993,
      -0.0153514794363343,
      -0.0975612843063697,
      0.0760826498433797,
      -0.0216819348113515,
      0.0112715308360532,
      -0.042273355569101,
      -0.00925134075723045,
      -0.0256542077030557,
      0.0333765094463298,
      -0.0295246193158115,
      -0.121362235021801,
      -0.0434443024435392,
      -0.0390706617517904,
      -0.100083856725191,
      -0.0523794042363138,
      -0.0300731336025742,
      -0.0147374074847382,
      -0.019278725731357,
      -0.0790956565696634,
      0.130554919214714,
      -0.0299229242876685,
      -0.037660482282941,
      -0.0560217630145423,
      -0.0130563961635119,
      -0.00198366415528921,
      -0.00331820079265412,
      0.00157773949673981,
      0.0241347030491191,
      0.00415960380575507,
      -0.00775816097278777,
      0.0157751687717292,
      0.0178850923303506,
      0.0797239858696299,
      0.0395248985164543,
      0.0358568703906076,
      0.00783123406702487,
      0.0510398631725239,
      0.0935389781181867,
      0.0745836776701073,
      -0.0126264692271379,
      0.0192266887143217,
      0.128788725328187,
      0.0603687786923849,
      0.0547805879006508,
      -0.0091964503343019,
      -0.0156853533998606,
      0.0127523160219372,
      -0.00417702895861592,
      0.0717203175402999,
      0.0191227294520907,
      0.0351318406001218,
      0.0262083719754712,
      0.0410583621931963,
      0.0152160222654674,
      0.018515487526653,
      0.00779234318523814,
      -0.154963647511282,
      -0.15070232437669,
      -0.0756033555717493,
      0.00178792952303301,
      0.0586772070597724,
      0.0664272811989582,
      0.0291416153773892,
      0.105794707731275,
      0.113073948035252,
      0.0439820672056064,
      0.0175819694062501,
      0.00626330751110872,
      0.0888058905814585,
      0.0806683618495933,
      0.00159817910619159,
      0.119338473072436,
      0.095934505326754,
      0.0568979615690372,
      0.074750182733025,
      -0.0850635548758633,
      -0.065345807161577,
      -0.00767555385848368,
      0.205309600296009,
      0.167201053453506,
      0.0629117015725022,
      0.0495098038067435,
      0.0136207940763858,
      0.140854753028759,
      0.14732047030455,
      0.0228043980539508,
      -0.061412744134324,
      -0.0970935228925702,
      0.0121685271248553,
      -0.0645243476683297,
      -0.0220117471755629,
      -0.0172438128090302,
      -0.0104825086475917,
      0.00703394363090901,
      -0.00046087645488571,
      0.165157958908214,
      0.189057038449118,
      0.227827090502427,
      -0.0417938856621678,
      -0.0562687299629836,
      -0.0708385481989703,
      0.0260208950759996,
      0.0125260276871935,
      0.143481232500977,
      0.0305208118145887,
      -0.0239758794627767,
      0.107661204574019,
      0.155668631231147,
      0.0493042881919175,
      -0.0214327292983108,
      -0.0951813293554418,
      -0.0397953647850962,
      -0.098510832275915,
      -0.00925242142324546,
      -0.0547967603741494,
      -0.0210841532725097,
      0.0343250126736632,
      0.0390792324890123,
      0.24409083390869,
      0.163978128575577,
      0.180235804952642,
      -0.0325986864841604,
      -0.00361687774789453,
      -0.0347733611697804,
      0.0080183095111302,
      0.029906697672037,
      0.0421606229396224,
      0.147136334258463,
      0.00899438876853458,
      0.0635134298790506,
      0.174488108259489,
      0.100028743391684,
      0.132178274716118,
      0.208921071276349,
      0.015030349951151,
      0.0364567640785754,
      0.0316975874556005,
      0.0693983655475024,
      0.0283743290437316,
      -0.0340051511285638,
      0.0947720542702989,
      0.0121506094626527,
      0.0415567320868177,
      0.0283956273744152,
      -0.00388602572725988,
      -0.00310054678799615,
      -0.0142714999557271,
      0.029239480129033,
      -0.193168956840952,
      -0.0834826467305932,
      -0.0607450110977442,
      -0.00793308046620947,
      0.0605157460070236,
      0.140518460677726,
      0.0395419804955701,
      0.115181233911093,
      0.177306068858231,
      -0.0608596060370651,
      -0.004590841997069,
      0.0172989965693042,
      0.0805958434839752,
      0.0437466511977268,
      0.0152458236467627,
      0.119843139374428,
      -0.013073044251109,
      -0.000679404942530706,
      -0.0454470470719446,
      -0.0848873044497532,
      -0.104290373694168,
      0.0226409696830978,
      0.222593585874599,
      0.228692703163165,
      0.00541828206505976,
      0.0249546507807945,
      0.0147167522021932,
      0.138673382282901,
      0.163226307968028,
      0.0398991453531404,
      -0.0241553157093234,
      -0.00251445592261969,
      -0.0192536019327039,
      -0.10012865655112,
      -0.0443613017710217,
      -0.0977489330814492,
      -0.0441520479609234,
      -0.0073302122455638,
      0.0603600017564973,
      0.195491580741226,
      0.172000541595034,
      0.149417959781802,
      -0.127490230426223,
      -0.063847206807024,
      -0.0185469054367498,
      0.030760791440066,
      0.00815494223666256,
      0.111966008559685,
      -0.0176191171180556,
      -0.0466050129259948,
      0.18546693370813,
      0.156654368075303,
      0.000225057623280333,
      -0.120994118565852,
      -0.10241812251831,
      0.0257706869118137,
      -0.0568918498948982,
      -0.00592067136078448,
      0.0488115383988305,
      0.0280165252146747,
      -0.00520010940844008,
      0.0985513309505843,
      0.233311429672133,
      0.220009579877082,
      0.13475859513526,
      -0.039183266972965,
      -0.0186674482920827,
      -0.0154900438735641,
      0.016159552675277,
      -0.0446263382518225,
      0.00989864015425237,
      0.0208605410638367,
      0.0430477538515182,
      0.10161900968203,
      0.10583306067253,
      -0.044886194829423,
      0.035135349425221,
      -0.0378209159506865,
      -0.0309112102367479,
      0.0181923329612684,
      0.0110306058493231,
      0.0463829893444731,
      -0.00804518499524634,
      0.0409634490542065,
      -0.013556332612396,
      0.032785177921996,
      0.0260429756753161,
      -0.0552269247329355,
      0.0323793000358152,
      0.0332625900082762,
      0.0126206593567252,
      0.039315281269483,
      -0.125524533719979,
      -0.117850350347328,
      -0.0536504601029558,
      -0.0110968938776673,
      0.106448234575989,
      0.0468162909585522,
      -0.030692347688455,
      0.0133660319537662,
      -0.0213276066297607,
      -0.0345022005834259,
      -0.000240649419432887,
      0.00958039454328563,
      0.0180622481821818,
      -0.0287141328412392,
      -0.00295716572066466,
      0.0374552688527738,
      -0.0215441358536069,
      0.0130110128378973,
      -0.0161385116265246,
      -0.100049833250944,
      -0.100872025318893,
      -0.0153220916560268,
      0.0371020686404682,
      0.0538647021290721,
      0.0393044942046831,
      -0.00891983728893578,
      0.0308019235835229,
      0.147047829002106,
      0.104579763156599,
      0.00181616984108155,
      -0.0808225192320456,
      -0.0239111448970668,
      -0.0126307315907087,
      -0.0248979879075769,
      -0.00318523869659981,
      -0.0163091957450662,
      0.0171606551610354,
      0.020973726088827,
      0.0358614440142464,
      0.235235211766732,
      0.151706833475166,
      0.104585443769714,
      -0.0585112370117047,
      -0.0586039755384208,
      -0.0295233070726595,
      0.0386241921316043,
      0.0852527144809312,
      0.0886913272765733,
      -0.0433125441173402,
      -0.0720389400276132,
      0.176289719085687,
      0.103028690676271,
      0.0307868514646555,
      -0.0373429205604075,
      -0.0577341698605059,
      0.00950381715268902,
      -0.00804916191723817,
      -0.0316198780112965,
      -0.00186796258061746,
      -0.0227565749800515,
      0.0209005597088531,
      0.0415184649031552,
      0.28086870127478,
      0.114355539868968,
      0.129975567968054,
      -0.0405751366050148,
      -0.0598492484124821,
      -0.0150450359901807,
      0.0100362719779664,
      0.0197453076490859,
      -0.025323937695961,
      0.00000868379679672094,
      0.0403422226217529,
      0.106108519225542,
      0.115002154895219,
      0.140618275523396,
      0.0253532913463321,
      -0.0571392497471632,
      -0.0204747814607078,
      0.0153465015413051,
      0.0451146571218331,
      0.0330397625541209,
      0.13780834928261,
      0.0106612782392168,
      0.0232007860130076,
      0.0745779905991421,
      0.115313251925916,
      0.0847017600232459,
      -0.0380013448433478,
      -0.0639002846836581,
      -0.0400291295453705,
      0.0324330922553146,
      0.0446680495671465,
      -0.0240495734463467,
      -0.0154900676448536,
      0.0197050843585864,
      0.117981123968082,
      0.0463654111195241,
      0.0183013851599186,
      -0.123539785582235,
      -0.0881234189212248,
      -0.0473703819907275,
      -0.057579612553845,
      0.0168303485073297,
      -0.0368955875396988,
      0.0151652219177716,
      0.0373357515973641,
      0.0459943608402473,
      0.197173239624389,
      0.116609930076371,
      0.139506178726681,
      -0.049478400689011,
      -0.00533180695321404,
      -0.0168981927880404,
      0.0321529760204403,
      0.107451704101875,
      -0.02360410048058,
      0.0553829555194628,
      -0.0102663982204983,
      0.160379800338414,
      0.0960749049949945,
      0.034293617259633,
      -0.0738285071119091,
      -0.0398020258433741,
      0.0290541349160065,
      -0.0655426573790215,
      -0.0666460887334561,
      -0.0200114681611583,
      -0.0211609691913798,
      0.0179374050003825,
      0.0661425420179532,
      0.174810063566632,
      0.0897717273029841,
      0.0635105014928169,
      -0.0457437633819248,
      -0.0743158261443843,
      0.00657795173465223,
      0.0142166620779133,
      0.00619157623735058,
      -0.00184199320018026,
      -0.0257177815408835,
      0.0443198604318923,
      0.147562097821827,
      0.121683764657224,
      0.00587509852765716,
      -0.0399923064416116,
      -0.0168824258293376,
      0.00944120813461585,
      -0.0506073769889328,
      -0.0173251675934048,
      0.0197118922933908,
      0.0311851397486315,
      -0.000132309787996839,
      0.091264268988681,
      0.113833618606755,
      0.143194477002059,
      0.0512058454044351,
      -0.0535866309719474,
      -0.0390464627237363,
      0.0873526427515842,
      0.0492375728414797,
      0.0330494147295424,
      0.104101029955086,
      -0.00192336209428185,
      0.0221006621177833,
      0.158863324273559,
      0.123931145803952,
      -0.0085779335197223,
      -0.0356712744415728,
      -0.00236981712308749,
      -0.0635557823795465,
      -0.030615567495964,
      -0.011681268934518,
      -0.0170476909800972,
      0.0158649770382126,
      0.0149218954349684,
      -0.00980871986094522,
      0.036399860652167,
      0.121418561532685,
      0.0377918454314194,
      -0.0437120243628439,
      -0.010350514601541,
      -0.0210567792255525,
      -0.00674273178503316,
      0.00488897682358297,
      -0.0401671571734378,
      0.0255207605622366,
      -0.013779443563584,
      -0.0157085118255472,
      -0.00298326393126281,
      -0.04646601186047,
      -0.130537332756136,
      -0.099273404281418,
      -0.0568418909828354,
      -0.0262707775721523,
      -0.0496714316623619,
      -0.0325852947063254,
      -0.130698530085561,
      -0.0837741135060341,
      0.00555421367180892,
      -0.0221752306642813,
      -0.00444665521512562,
      -0.0817056260082656,
      -0.0943546612011193,
      -0.0388494833898279,
      -0.0624677931314814,
      -0.0870605600318098,
      -0.00592664565878572,
      -0.0844480641896596,
      -0.0562267127372325,
      -0.019478803868919,
      -0.0607359447745212,
      -0.0676302481508163,
      -0.0256962486147373,
      -0.0534321827791792,
      -0.0560075895155795,
      -0.058683899279799,
      -0.13354832613736,
      -0.0675859922745772,
      -0.0604734909547716,
      -0.178665698901235,
      -0.107726207223343,
      -0.0241777760289909,
      -0.0287756286543037,
      -0.0127912284587665,
      -0.0656481906613638,
      -0.169151375763701,
      -0.0709559805470368,
      -0.00925861289136181,
      -0.0754256331925233,
      -0.0195842092307513,
      -0.0486227482966359,
      -0.0230574614939708,
      -0.00572954517659711,
      -0.0303573928057544,
      0.0015693375834528,
      -0.0184613400645184,
      -0.0255284784925003,
      -0.0545504121849496,
      -0.082233705359734,
      -0.0943689546114494,
      -0.0283414952709078,
      -0.0178679685485365,
      -0.0379863495801883,
      -0.0156831327822732,
      -0.0290176309711672,
      -0.109015548267714,
      -0.0485410488744737,
      -0.0744067918230271,
      -0.0553541012762881,
      -0.0718932917372523,
      -0.176661295677019,
      -0.056763825642213,
      -0.0208237481735424,
      -0.138883106222278,
      -0.0809900343113298,
      -0.0348009595575425,
      -0.102926327618687,
      -0.0747285746034777,
      -0.0835540340137365,
      -0.154119041366671,
      -0.100529165712722,
      -0.218144091645427,
      -0.0863084830051061,
      -0.104788605189513,
      -0.119985924492356,
      -0.0744801950540179,
      -0.0307409060061341,
      0.00667394181804733,
      -0.00169195665893127,
      -0.0487967065442313,
      -0.00273780624063438,
      -0.0832118753931245,
      -0.0568117609358139,
      -0.198389371294645,
      -0.0656008405448876,
      -0.0468488796657612,
      -0.0984544675602218,
      -0.0878835699500792,
      -0.147475993184673,
      -0.104516747846311,
      -0.0779027595335599,
      -0.108998012634393,
      -0.0649064120903263,
      -0.118911549318622,
      -0.0593629398927862,
      -0.133934432348547,
      -0.11138647545973,
      -0.026486448109963,
      -0.0808438256655288,
      -0.13956095523767,
      -0.10540415494552,
      -0.0187674985642986,
      -0.0470479127558263,
      -0.0623747804906634,
      -0.0552110281861364,
      -0.113621138565103,
      -0.0399897618865395,
      -0.0212586352444998,
      -0.072049380082576,
      -0.0786245252551614,
      -0.0992972477876991,
      -0.0990220458797474,
      -0.0385931020264673,
      -0.0158718857585943,
      -0.070715770223578,
      -0.0563442578841086,
      -0.0849831857578526,
      -0.122820352102057,
      -0.0496067134183914,
      -0.0810021800559987,
      -0.108466575691636,
      -0.104882127856784,
      -0.0891151520239204,
      -0.141054111763659,
      -0.0485062839990216,
      -0.00659843255162445,
      -0.092258567052547,
      -0.0754072998655433,
      -0.185871249491498,
      -0.0339575719545027,
      -0.0865035912368516,
      -0.0632478228145703,
      -0.111840355389507,
      -0.125193652803217,
      -0.066212970080362,
      -0.0624174933792375,
      -0.0536662529649016,
      -0.011318534764453,
      -0.0786037517513553,
      -0.110147838131612,
      -0.103191570270583,
      -0.0049306373926491,
      -0.0379392032565658,
      -0.122620516671268,
      -0.0654398760849562,
      0.00321232834771033,
      -0.028489607815746,
      -0.0691380238939703,
      -0.027057795806906,
      -0.0315027351475767,
      -0.118436684867608,
      -0.0834271294335387,
      -0.138976666478874,
      -0.0675939129263983,
      -0.128256284181435,
      -0.105164689917554,
      -0.00440352176530053,
      -0.0522471978230848,
      -0.146007136678491,
      -0.0284482776529054,
      -0.0488790636224703,
      -0.123386755944964,
      -0.0956807698527726,
      -0.241635574970546,
      -0.157262976840202,
      -0.108609262133423,
      -0.0910894789963832,
      -0.0847694964995267,
      -0.0782570295735488,
      -0.00908495827515869,
      -0.0576443348758297,
      -0.0933077386863975,
      -0.0634103207169029,
      -0.0460042153291033,
      -0.115082723415521,
      -0.17502256441039,
      -0.0672742512911533,
      -0.0531517459715711,
      -0.193484834877638,
      -0.106122552094526,
      -0.195193631311182,
      -0.192825834253356,
      -0.157435637204539,
      -0.129983595839272,
      -0.156300625557351,
      -0.11136955750397,
      -0.0877926476821677,
      -0.0237020478799526,
      -0.0182278540930428,
      -0.0538826339993188,
      -0.00380245161303616,
      -0.104246939494556,
      -0.116142751065985,
      -0.0578252879206494,
      0.0137763525622005,
      -0.0227201557789756,
      0.0186574017715088,
      -0.0747667221206112,
      -0.0667749254543802,
      -0.0701354358601963,
      -0.0921510517228019,
      -0.113589690093675,
      -0.079372793232236,
      -0.0359452393357516,
      -0.031216405262777,
      -0.0339313767985496,
      -0.0869553891805338,
      -0.10120903223181,
      -0.143763333059838,
      -0.11895943882702,
      -0.0364008988561913,
      -0.070224212158609,
      -0.0310344754490151,
      -0.0918907231150306,
      -0.114656615620522,
      -0.137855988157184,
      -0.0755890334083859,
      -0.0394246497869232,
      -0.0366119703106652,
      -0.0249211670105063,
      -0.124189117836734,
      -0.119045573819511,
      -0.122232228863876,
      -0.112714812555022,
      -0.110639159520149,
      -0.0995500432451461,
      -0.0440290651026284,
      -0.0377199161085077,
      -0.0717685174989117,
      -0.0343977372386608,
      -0.037483061580982,
      -0.0568813960592809,
      -0.113323492271396,
      -0.0742245784295069,
      -0.0471997781294943,
      -0.0633011749855228,
      -0.0631371644092204,
      -0.0334766429179301,
      -0.067536319350372,
      -0.0638335103794749,
      -0.0893288874466818,
      -0.0847743333730201,
      -0.080793759274437,
      -0.151861986706904,
      -0.12330563005597,
      -0.0739778469179528,
      -0.0638484730587881,
      -0.0727170932949867,
      -0.0092320410341821,
      -0.0749883541167037,
      -0.0687462436937116,
      -0.115911819092763,
      -0.0790319548283838,
      -0.065329154988635,
      -0.105271664968681,
      -0.099498108563805,
      -0.0570106095601985,
      -0.124610341670455,
      -0.0844740505949951,
      -0.0578209207120531,
      0.016273844647838,
      -0.045929691469303,
      -0.0966832564913404,
      -0.0781136638548273,
      -0.0792310663695394,
      -0.0282592467905255,
      -0.125478905135401,
      -0.059196970851066,
      -0.037889158292972,
      -0.052350401360796,
      -0.114741852099346,
      -0.0776749016067707,
      -0.158594035244677,
      -0.133362035984784,
      -0.123312832692961,
      -0.0662207388891221,
      -0.0560450715924077,
      -0.0572298524951603,
      -0.104701074123034,
      -0.141786787845978,
      -0.140668900019394,
      -0.102146229154633,
      -0.0677482947906824,
      -0.0973422164753272,
      -0.112472511717957,
      -0.0706342058846329,
      -0.093636186011639,
      -0.0631064840452384,
      -0.0553808351563545,
      -0.0770325634027132,
      -0.0148821328871693,
      -0.118009752189008,
      -0.118562576580742,
      -0.133927161848444,
      -0.07478789567464,
      -0.0503438826479571,
      -0.0537579129066197,
      -0.0497198152928566,
      -0.113995739992252,
      -0.0864648994624442,
      -0.091989343746562,
      -0.156049462060492,
      -0.0223025330504495,
      -0.137811574992959,
      -0.106088912494747,
      -0.12125884528549,
      -0.12211962283451,
      -0.0960432862997192,
      -0.0759016465700771,
      -0.0733237031778824,
      -0.0300701784194393,
      -0.0396888185761009,
      -0.0681865714184948,
      -0.0685905879891026,
      -0.0339654448808597,
      -0.0778280069645352,
      -0.0808015182703446,
      -0.0825883739337421,
      -0.108183045580877,
      -0.0911016541928894,
      -0.0798086017909033,
      -0.0679779932611748,
      -0.0836878472250211,
      -0.0951994984678038,
      -0.142348343833771,
      -0.077921181558822,
      -0.120724224661521,
      -0.0494359553734823,
      -0.0955955349643351,
      -0.0441045292826081,
      -0.042874754864588,
      -0.0781403105769236,
      -0.0266537294339174,
      -0.0513783653481342,
      -0.0465024637510064,
      -0.169845591331848,
      -0.175376919112469,
      -0.122036405374995,
      -0.0495414943822718,
      -0.022927917023071,
      -0.0549993031147829,
      -0.0525249806677938,
      -0.037844310588921,
      -0.031225640900141,
      -0.0884117705908771,
      -0.100160675059212,
      -0.0796974576619678,
      -0.123092447336924,
      -0.0400659569347819,
      -0.0502835509258649,
      -0.0508242772538531,
      -0.0512224040938817,
      -0.0627490036489059,
      -0.0839724337512694,
      -0.0255844703435487,
      -0.0570691377888201,
      -0.0507501479865369,
      -0.0687657031769726,
      -0.181303738097977,
      -0.0223580841826679,
      -0.0175381668951125,
      -0.0972925485287554,
      -0.11457807868746,
      -0.0596065527250185,
      -0.03870442749759,
      -0.0141470447163997,
      -0.0169941070106848,
      -0.0622916446599881,
      -0.0622305163818958,
      -0.0988358722813169,
      -0.0846883201728651,
      0.00257035743879534,
      -0.0676623047623629,
      -0.00928321074211094,
      -0.0422977984480969,
      -0.0791934374302557,
      -0.102099736461815,
      -0.0477286742975267,
      -0.0887165342680901,
      -0.0414192172095622,
      0.0148712752283144,
      -0.0980158960203557,
      -0.0875730110920762,
      -0.0610214173718958,
      -0.0570663619927611,
      -0.0583638391871287,
      -0.00608096078173026,
      -0.0395157473497509,
      -0.00321507762870644,
      -0.0544102841714976,
      -0.0429263460466065,
      -0.00566810868082948,
      0.0023615291576361,
      -0.0376796799290595,
      -0.038395658276772,
      0.0103850092893331,
      0.0246738542798164,
      -0.0625226429917532,
      -0.0961603453191307,
      -0.0647056065396423,
      -0.0436145657498843,
      -0.0729460368426861,
      -0.0293042505693668,
      0.0670819907403418,
      -0.113584777408256,
      -0.131062902976771,
      -0.12605188494964,
      -0.0280629170613506,
      -0.0916670330334284,
      -0.0625940652382268,
      -0.0363283384148887,
      -0.0434537476596125,
      -0.0316329051859007,
      -0.0786432405574592,
      -0.0557976994321339,
      -0.0428421134731943,
      -0.0536470059234503,
      -0.0360476755875933,
      0.00682124761350445,
      -0.0149286619608087,
      -0.00373191750749588,
      -0.0494799313171708,
      -0.0792012014775194,
      -0.038610236459511,
      -0.0195248301388043,
      -0.0267237645723676,
      -0.0576061961649569,
      -0.0421360256839108,
      -0.0329100789892359,
      -0.0213673533286177,
      -0.039469148716517,
      -0.0332279834353851,
      -0.0681267276979112,
      -0.0769418977561634,
      -0.0209297367270805,
      -0.0113875406780661,
      -0.00776815903923662,
      -0.0124025312848959,
      -0.0236683436606606,
      -0.0633212101726838,
      -0.057025586301576,
      -0.0304158933276958,
      -0.0208803760451625,
      0.0728082079998586,
      0.0212336651484737,
      -0.0421154207446379,
      -0.0714839906682302,
      0.010952437273468,
      0.0187147990536582,
      -0.0125199873569696,
      -0.0423298496152921,
      0.109217281683928,
      -0.0668896652954103,
      -0.202716017853903,
      0.0215363159449595,
      -0.0183312163082303,
      -0.00213528321612946,
      -0.0213710450572924,
      -0.0382927998217143,
      0.0140440718579505,
      -0.0910954978674141,
      -0.0193847752173961,
      -0.197905125900435,
      -0.0388185266604233,
      -0.106629331288647,
      -0.089281607646958,
      -0.0465123691006143,
      -0.0177577341586637,
      -0.0502929126441842,
      -0.0491376306763636,
      -0.0611376940743116,
      0.0279205587293301,
      0.0324062662183289,
      -0.0125185679399033,
      0.138282944667131,
      -0.0812913741099367,
      -0.266236948444518,
      0.00914385776921644,
      -0.0165063654423721,
      0.00116609106812769,
      -0.0109150024964138,
      -0.139703976307252,
      0.0295072755185401,
      -0.0693572044696,
      0.00149565066873837,
      0.131127841589574,
      -0.0209585894621991,
      -0.0185170858740479,
      -0.00755809068855227,
      0.0526637892263909,
      -0.00401576872995524,
      -0.0467098775114728,
      0.000863230887105314,
      0.00445235477485219,
      0.0209610439943007,
      0.00360305714520808,
      0.0284351063868721,
      0.0341035432986005,
      0.0273164707715484,
      -0.0136267763430017,
      0.00336140153254677,
      -0.134889179108586,
      -0.0873640052793938,
      -0.038460661341286,
      -0.226778650256506,
      -0.17768591497548,
      -0.129803600766683,
      -0.0643772120965335,
      -0.085359196439787,
      -0.0866352424109828,
      -0.0781033757499065,
      -0.0299792187721764,
      0.0358721524662327,
      0.124802345969243,
      -0.0282661384184478,
      0.108971772785919,
      0.129199113958155,
      0.0538911544959013,
      -0.0539345702418167,
      0.0593176000126354,
      0.00155354107279488,
      -0.161387937283549,
      -0.0472139884219789,
      0.0512288889154903,
      -0.111585167271373,
      -0.00548106368477142,
      -0.135133505039905,
      -0.211223405033756,
      -0.132503552940498,
      -0.0813060484571424,
      -0.017945452251264,
      -0.0885571278461305,
      -0.0685285033652001,
      -0.0438503438627545,
      -0.0672691783410684,
      -0.0401236471639029,
      0.0165276320923277,
      0.0563788503929714,
      0.0564947296355107,
      0.0448391830011743,
      -0.0435424294008166,
      -0.250724535090079,
      -0.211264941396411,
      0.000604008059567123,
      0.0206665285897784,
      -0.0502437409288253,
      -0.00989045654362256,
      -0.0309854847427658,
      0.0230135979609477,
      0.0584185215815514,
      -0.0137226216528563,
      0.0750159149208751,
      -0.142207843983749,
      -0.0921844805775277,
      -0.123787384421694,
      0.00795086373282848,
      0.0502815964739146,
      0.0061553445032336,
      -0.28724978473827,
      -0.210967995018385,
      -0.178595704696203,
      0.0204717247992515,
      -0.0414889972456543,
      0.063008827586868,
      -0.0218923498254599,
      -0.052026827314009,
      -0.096868828991773,
      -0.000321947644960342,
      -0.124464107081832,
      -0.0780393773273477,
      -0.0463592596896031,
      0.00387837086648364,
      0.0407729195580408,
      -0.024912768258326,
      0.0564002145645042,
      -0.177630246853079,
      -0.0564198627343267,
      0.0604273141093353,
      -0.000824063480930002,
      0.041586181386889,
      0.00712674328015365,
      -0.279735331508407,
      -0.217506576969486,
      -0.215481989429526,
      0.0257527654639826,
      0.0671144609857119,
      -0.11466594859545,
      -0.0593665367162469,
      0.0558622661829963,
      -0.0163884513851153,
      -0.0694038094949084,
      -0.0192948454331151,
      -0.0483640044456787,
      -0.197335012214803,
      -0.152407548656869,
      -0.166048948345651,
      -0.30422385463198,
      -0.195608539085492,
      -0.0810328496204858,
      -0.00036242712944145,
      -0.0628376186884431,
      0.0407111704868,
      0.0240076233552365,
      -0.167278276123675,
      0.00924818789152402,
      0.12182080608319,
      0.0651410167310812,
      0.0155788672662774,
      0.0876792119358078,
      0.0109235281104464,
      -0.0296657932334942,
      0.112037633937225,
      -0.074592409063388,
      -0.121756872113421,
      -0.0727113271180038,
      -0.0707003326882044,
      -0.201215470554136,
      -0.0257594599119907,
      -0.072645061776418,
      -0.203988595486812,
      -0.0916284132458672,
      -0.0824222724445509,
      -0.0322903827351003,
      -0.0760415050327242,
      -0.0421723050051716,
      0.0131961302435923,
      -0.0190721595341673,
      -0.0712183187067344,
      -0.0352058648449178,
      -0.0515297809879817,
      0.0108504302304188,
      0.0169374013674265,
      -0.07297392825086,
      -0.272930359480215,
      -0.243473300537837,
      -0.0157330993283228,
      -0.0200691916356196,
      0.0363614457348963,
      0.0286701078494046,
      -0.0580933255591048,
      0.0206078865072227,
      0.0341893342319778,
      0.0134528799102492,
      0.0580542946740154,
      -0.144052513938439,
      -0.0679959172821405,
      -0.0385482288835166,
      0.0081449388727132,
      0.044891860206432,
      -0.0451349976393008,
      -0.255024530929426,
      -0.25306242263575,
      -0.122419749144544,
      0.0400241620481991,
      -0.00369224934323898,
      -0.0897308131069699,
      0.035196592929309,
      -0.0179547299208837,
      0.0433193788618016,
      -0.0547990620779275,
      -0.128315622088657,
      -0.0156044709235669,
      0.00547335946677458,
      0.0413902721918035,
      0.136761552880074,
      0.00219101220028621,
      0.0685360333064468,
      -0.147718746750801,
      -0.0937770529482079,
      -0.00613010221757692,
      0.104391138880616,
      0.042050856404357,
      -0.0255593140351629,
      -0.227884941615,
      -0.272006025240403,
      -0.0303588679537745,
      0.175064130144834,
      -0.0646827410549384,
      -0.0398605229071443,
      -0.00913832066144525,
      -0.0251574462772675,
      -0.00812076033106966,
      -0.037641678990646,
      -0.0308874032341411,
      -0.151910088522049,
      -0.131358203030975,
      0.00357981442447092,
      -0.0566239053565721,
      -0.0143882609787655,
      -0.0236146582252058,
      -0.0772437393556962,
      -0.0898067156465092,
      -0.0993527608398455,
      -0.0789402505156514,
      -0.0159458052243618,
      0.0186956398515038,
      0.131708294240582,
      0.0962497734616388,
      0.0548610773604538,
      0.0811523114086911,
      0.0310804299167226,
      -0.0598559901282005,
      -0.043274613095452,
      0.0550899087523116,
      -0.161655985522873,
      -0.114219262007329,
      0.0252265473895835,
      -0.0885144264931863,
      -0.113621291397307,
      0.00497644202638808,
      -0.0938024181279672,
      -0.0619802604939664,
      0.00234128417946273,
      -0.103601297894657,
      -0.0680370966285468,
      -0.0421028766179289,
      -0.035151120562408,
      -0.0495453107059595,
      -0.0756129938895243,
      -0.139902938101183,
      -0.0779113626649871,
      -0.00547670917578135,
      0.0827642197379644,
      0.0163618981823254,
      -0.0336459993475148,
      -0.114829448433732,
      -0.107306003755749,
      -0.047697850357911,
      0.00968480351651293,
      0.055458164980603,
      -0.0354990651394952,
      0.0213132102819776,
      0.00957378691569344,
      0.00674631218144965,
      0.0442249320723399,
      0.0917101440968357,
      -0.112824647741278,
      -0.0666790274667107,
      -0.0783094075751442,
      0.0847288300679776,
      0.0625131705125119,
      -0.036343870692259,
      -0.274043075296614,
      -0.205021902839539,
      -0.164279308478929,
      0.0128084782074001,
      -0.0205360157469246,
      0.0204789536109512,
      -0.0597144230179021,
      -0.034210631632791,
      0.0260654306446088,
      0.0110148485352259,
      -0.0911950398543271,
      -0.0502387529659563,
      -0.0247183457777915,
      -0.0384679769524739,
      0.0530460370709009,
      0.0197407579412625,
      0.0679326969928877,
      -0.0941798828208719,
      -0.0377757479752203,
      -0.00364214429599602,
      -0.0378438852992516,
      0.0689296705140972,
      -0.0749463501483922,
      -0.375474767680588,
      -0.239390180417226,
      -0.127617032913028,
      0.0435315323779422,
      0.0329281864854418,
      0.0186855651748325,
      -0.0650985284169691,
      -0.0358918819715805,
      -0.0150431633706099,
      0.0110319059749595,
      0.151046049069649,
      -0.08949043280813,
      -0.19981131642917,
      -0.201952196863518,
      0.0584578633682394,
      0.0523096403875154,
      0.0484705904188952,
      -0.0270488121874744,
      -0.00103822805221916,
      -0.00272678780787228,
      -0.0565298433327246,
      -0.0285386143608909,
      -0.11678517661912,
      -0.18787928919629,
      -0.120633132287286,
      -0.108427868879939,
      0.0379497952837596,
      0.0263652234207565,
      0.011063018115594,
      0.00134252208005047,
      0.0416070139490996,
      -0.0456355667576687,
      0.0559988828915677,
      -0.0276275123479552,
      0.00636619124846159,
      0.0185730658309172,
      0.053097470069213,
      0.0782357296610287,
      0.0327900904956073,
      -0.000117250679210203,
      -0.152111690656137,
      -0.0196629190709599,
      0.00479058959362538,
      0.00702200259805814,
      0.0198237619295646,
      -0.0290769738676182,
      -0.231654302070513,
      -0.169142209122832,
      -0.0873002613988528,
      0.0077197853311677,
      0.0800717263434289,
      -0.031921933436302,
      -0.00710665786633643,
      -0.100299702306687,
      0.0244798571737873,
      -0.0669179940897413,
      -0.0744014515888129,
      -0.0515982393911816,
      -0.0346291819875233,
      0.0185134582320174,
      0.051134173042986,
      0.035040933167926,
      -0.0597154242430988,
      -0.0708301998257157,
      -0.0341844114017711,
      0.00753709139318556,
      0.0341822331636815,
      0.0571054275699259,
      -0.0337360675389277,
      -0.226864570171442,
      -0.214919329886035,
      -0.0385720983640383,
      0.0203945810268561,
      0.0171156939938707,
      -0.0749281552478242,
      -0.00147781386340738,
      -0.0243365703779255,
      0.0368443724757287,
      0.0513958487406646,
      0.0470139964390166,
      -0.0128872108843778,
      -0.00631542407812229,
      -0.0178157462297166,
      0.0271564084872573,
      0.0344270066001403,
      0.0248534645626459,
      -0.0705724966930047,
      -0.0311880041750681,
      -0.0073390148850323,
      0.0555519535896247,
      -0.0189233992635983,
      -0.0275063952827246,
      -0.187688932030184,
      -0.151117386303692,
      -0.00881781547503785,
      0.000329817170521933,
      0.00758335793120214,
      -0.0208200227696874,
      -0.0152277202520315,
      -0.0567982857488772,
      -0.00782366115216984,
      0.00923831661762309,
      0.0628430569059659,
      -0.087635152071712,
      -0.0233147007737563,
      0.00427482302644226,
      0.0632366792616229,
      -0.0150199668729063,
      0.00290162431001701,
      0.02502244678528,
      -0.0304087805244169,
      -0.0599524864520032,
      -0.0602900087595008,
      -0.036189285258083,
      0.000107653490834693,
      -0.0712535119785211,
      -0.130057196770482,
      -0.0634747467094863,
      0.0334843375675737,
      -0.0311374787613589,
      -0.0277373773621477,
      -0.0438018125091246,
      -0.0298051483375551,
      -0.00018861640545243,
      0.0402696030848678,
      -0.133207741617934,
      -0.0582581852488756,
      0.0249618523702362,
      -0.00307247251946139,
      0.115665312546038,
      0.109528564223398,
      -0.0101946307506384,
      -0.0555060745095346,
      -0.0372628302290647,
      0.0386407899895996,
      -0.00145574950448147,
      0.0724020786971403,
      0.008426411887542,
      0.0218173070505044,
      0.00950058875273637,
      0.0354128730732831,
      0.219534410710014,
      0.0161255071700416,
      -0.0323332873655606,
      0.126220355993095,
      -0.0046918111187135,
      0.12540866454509,
      0.109809125018493,
      0.0208711218407791,
      0.0314489178183624,
      -0.00469316193479787,
      0.0185521488642108,
      0.128645607939428,
      0.0769229556557407,
      -0.0126487205977063,
      0.0373361847893465,
      -0.0417288012213071,
      0.0255755993396657,
      -0.000561290760529901,
      0.0596014549671357,
      0.00826539937635481,
      0.0690703382419279,
      0.0529406939058054,
      0.0496414239188711,
      0.236935542072002,
      0.00853231704120664,
      0.0366305533954117,
      -0.00812390397917203,
      -0.0268717041019319,
      -0.0505594926561235,
      -0.0280371064913194,
      0.0460697851932627,
      0.0479228038813258,
      0.0423906616753863,
      0.0491561592731575,
      0.0623096682151347,
      0.106266539432303,
      0.15292422912794,
      0.125347332718967,
      0.114860967522648,
      0.109260793942162,
      0.125432481261094,
      0.0403831962671457,
      0.0422143239619482,
      0.069273281759728,
      0.0168377147571063,
      0.0120181351797271,
      0.0700493068000771,
      0.078842182764983,
      -0.144721265627594,
      -0.0281118633072573,
      0.0847241348948015,
      -0.147958604215511,
      0.0277436414207371,
      -0.0171372213014633,
      0.0269351291673028,
      0.00596520883142547,
      -0.00530426952229991,
      -0.00593603790776147,
      -0.0277806678503019,
      -0.127880418220055,
      0.108366428011737,
      0.074408488391768,
      0.0116927935898283,
      0.0234505978787571,
      0.00197694628672959,
      0.000667461641502343,
      0.0281416230596298,
      0.122746439468257,
      0.0150885759268511,
      0.101025465814563,
      0.0472573548690998,
      -0.206480291010093,
      0.0386527103384194,
      0.0773149376499224,
      -0.0896938523757812,
      0.150862654517785,
      -0.0546274215861965,
      -0.130445857674947,
      -0.0594435176153429,
      0.140258404587261,
      0.252418894440107,
      0.135551825688374,
      0.00891534660016718,
      -0.113193117771299,
      -0.047805339349478,
      0.0774583538880602,
      0.0360906045685861,
      0.134737536994031,
      0.169996566420137,
      -0.00475729049230551,
      0.135651535079261,
      0.0553060389258121,
      0.0313265722276179,
      0.0836386603088056,
      0.113634112470708,
      0.103633151944803,
      0.033211553049311,
      -0.0231336987656014,
      -0.0843023338084109,
      0.0069265423152504,
      0.0280175558040591,
      0.0219372857828287,
      0.12366721684759,
      0.176832950937352,
      0.0807543407404498,
      -0.00553095830116481,
      0.109143400042459,
      -0.0268228377623322,
      -0.0290321225870515,
      0.0115146890998207,
      0.165026603437585,
      0.193564397051927,
      0.00709312818493639,
      0.0612641036456219,
      0.0579562226998356,
      0.00956623404647754,
      0.110237148782322,
      0.102511080586711,
      0.139453280206827,
      -0.00917559431374338,
      0.0778253836681836,
      -0.00605250763314284,
      0.0685271535631447,
      0.0364002719434933,
      0.133704669612175,
      0.0594546331194085,
      0.0489129486695057,
      0.0177257165364953,
      -0.0693648304322718,
      0.00708538681864919,
      0.0323776679670226,
      0.196335642860425,
      0.0143996929344668,
      0.0651969459597944,
      0.0312031853228981,
      0.113552359739862,
      0.0922288091305841,
      0.0211865492208427,
      0.160145855778255,
      0.0874038365942147,
      -0.125772016109271,
      0.027320654578143,
      -0.13651274661798,
      -0.0482626658483089,
      0.0230174389657697,
      0.0121955271184007,
      0.014041580178635,
      0.00573654179036078,
      0.00466386466318936,
      0.00492794514860166,
      -0.0556461195014014,
      -0.1470140251269,
      0.145045383693718,
      0.0410308504151492,
      0.0214116842035128,
      0.0396697270426573,
      0.0122878012069909,
      -0.0112056203247411,
      0.0655806363925154,
      0.110988386375497,
      0.0116043306468564,
      0.10315637787976,
      -0.100009341103395,
      -0.194859803110989,
      0.0975229313865561,
      0.0571588675330331,
      -0.173112134415163,
      0.0927948390517798,
      -0.0813088014952498,
      -0.151715970512029,
      0.0419137949930655,
      0.173121024649262,
      0.166138908116881,
      0.128309524839009,
      -0.0102484905390192,
      0.0153319747373641,
      0.0868493087393442,
      0.0494001675668503,
      0.0489733331969494,
      0.162416905579842,
      0.196729948992381,
      -0.0201150438245528,
      0.113891880847143,
      0.0645286465213903,
      0.116973563549356,
      0.130223282434935,
      0.00504510926312257,
      0.0465980582692868,
      -0.0722396339496953,
      -0.0509263244488923,
      0.00642123131798644,
      0.0172984094656889,
      -0.000336636648854299,
      0.115589543537558,
      0.185068117521161,
      0.15513444096291,
      -0.0250806098530918,
      -0.101080961886354,
      0.0332024931424352,
      -0.0338910836834012,
      0.0205078835527236,
      0.0347648843736696,
      0.223123972068288,
      0.209785920643183,
      -0.0433653057232123,
      0.0644962575175205,
      0.015721214949688,
      0.029479452993486,
      0.0975868110332104,
      0.104445857578603,
      0.13733672017123,
      0.0761888815805791,
      -0.0203355855376208,
      -0.0412493574936197,
      0.0143712029816698,
      0.0424406534736499,
      0.0197706345514161,
      0.0712756638433728,
      0.121429180134866,
      0.135801528376377,
      -0.0654943890145336,
      0.103796761978755,
      0.058526244353613,
      0.102767642289128,
      0.0915141463025525,
      -0.0247205755987965,
      0.0862356245606246,
      0.146431726304506,
      0.0655496496472485,
      0.136454443448896,
      0.0597375039695183,
      -0.120342095938091,
      -0.0952818993625331,
      0.0800791243546609,
      0.0190804512367127,
      0.0320886659593198,
      0.0153084340075101,
      -0.0228512252045978,
      0.0238948444582736,
      -0.0403989221794035,
      -0.0165898701713182,
      0.0278142088612922,
      -0.0436751327269101,
      -0.0396993589639151,
      0.15957850901096,
      0.0572704201747826,
      0.0281480338358193,
      0.0403198936176393,
      0.00574429181786754,
      0.0855299090656416,
      0.179467060324145,
      0.15201819704246,
      0.0630982318824314,
      0.0984521572807685,
      -0.111701714854501,
      -0.0297183449420503,
      0.033717068573286,
      0.0659944770577362,
      -0.0615451808129271,
      0.0123934675424039,
      -0.101523021096883,
      -0.0637037834455223,
      -0.0344200444885466,
      0.106617579156027,
      0.112098723124214,
      0.0784715303124736,
      0.0839802544859429,
      -0.0395161138616378,
      -0.0503406527250758,
      0.00657223733280994,
      0.0165472078047023,
      0.173447337609725,
      0.150293937971135,
      -0.0724313330146764,
      0.108358232137373,
      0.0519096229672418,
      0.0788939782087731,
      0.063548326532524,
      0.116547162115747,
      0.0932333775363044,
      0.0507634740806392,
      -0.0499431051871255,
      -0.0406622639998091,
      -0.0106183671563228,
      0.0670615136956941,
      0.0591360580811908,
      0.162525559721329,
      0.123306772988298,
      0.00301660425179155,
      -0.0825956591130923,
      0.0654231222862199,
      -0.0447756592651892,
      -0.0153570258371991,
      0.0242309153497311,
      0.21897539535409,
      0.105595682137282,
      -0.0243069118417982,
      0.0379192487520345,
      0.0103458529373374,
      0.00533155023982538,
      0.0704513955522157,
      0.033824189644475,
      0.0712995737581448,
      -0.0207772578398343,
      -0.0941872477224099,
      -0.0972539617932589,
      0.0899012316190051,
      0.149602293035396,
      0.0370635917753941,
      0.129321277391401,
      0.154545117704701,
      -0.00585093961347662,
      -0.116943837744069,
      -0.0545472525176139,
      -0.0340993193052803,
      0.0398795689286232,
      -0.0423991950260844,
      0.0157689029651759,
      0.0162475727986696,
      0.0687617436856868,
      0.0529886243319711,
      0.18112727815668,
      0.117704865764074,
      -0.139461935544647,
      -0.168209830469501,
      -0.0493592464792608,
      0.223146178971988,
      0.122790688347423,
      -0.0432944556303425,
      -0.0106961232010945,
      0.0485090016102119,
      0.049320193497019,
      0.134871885846438,
      0.15273241690839,
      0.0165615387813244,
      -0.102538952985398,
      -0.0613242923367811,
      0.0250870993286401,
      0.0357238103113492,
      0.0927795893114523,
      0.113015094127469,
      0.161676760921792,
      -0.0571874688639541,
      0.115880129960086,
      0.0289583028135014,
      -0.000180713558113846,
      0.00618283095476667,
      0.073554292979991,
      0.0888959764883515,
      -0.048664085194562,
      -0.122806901081478,
      0.0167231077884057,
      0.0372334769284715,
      0.0894382656269102,
      0.0444171560499233,
      0.172906996199276,
      0.0769724932331597,
      -0.0286581544982865,
      0.00391014995540954,
      -0.093456396201054,
      -0.020860890773791,
      -0.00540419676740361,
      0.0682375108559393,
      0.142651223545371,
      0.110262837746433,
      -0.00296101270130425,
      0.148341265225935,
      0.0285243971373829,
      -0.0594324241049758,
      0.036595645061921,
      0.0394930227879332,
      0.0280785270716915,
      0.0162662829148071,
      -0.0383262458770429,
      0.101816353503607,
      0.00611074838964417,
      0.0685891264360217,
      0.0396277913984414,
      0.141885756220536,
      0.152885320652364,
      0.126711925494146,
      0.0258305622407847,
      0.0517948604357736,
      0.0112854438817815,
      0.01234887455214,
      0.0760076616114935,
      0.209191222508481,
      0.186607112699737,
      -0.0657516495842417,
      -0.00261963374429512,
      0.0572884784523383,
      0.0504373096477871,
      -0.0164094903297597,
      -0.0286985118824492,
      -0.111257464697805,
      0.0777908849499009,
      0.0275623045715231,
      0.0848438805591687,
      0.0468515815422198,
      0.06312694052333,
      0.100293039417936,
      0.139672243662832,
      0.0918738814810126,
      0.0717076569252322,
      -0.0215105273718936,
      0.0358093242210901,
      -0.0322744697627067,
      0.02986433536409,
      0.0917460205331771,
      0.166337700512648,
      0.161889909765509,
      -0.0281576871149271,
      0.0998325153540452,
      0.0157406308712514,
      -0.0427429110292014,
      0.0640262669258136,
      0.0108789089631659,
      0.0131849650758831,
      0.00162077611440237,
      -0.0378340663988598,
      -0.0243087482744742,
      0.0055859045904041,
      0.0357119233654773,
      0.057945050811805,
      0.134158036419494,
      0.0899230548229845,
      0.0464677469548376,
      -0.0755007371995567,
      -0.0612605412475804,
      -0.0340820502324316,
      0.0622214558731016,
      0.119751105407018,
      0.0233947195606635,
      0.0146397060752149,
      0.00751878925416428,
      0.0264673978426085,
      0.0318840635541085,
      -0.00817022686444284,
      -0.00220350879889139,
      -0.0158876572042933,
      0.0177214682828752,
      0.0345224812225175,
      -0.0371433790857357,
      -0.0133389678242338,
      -0.00884331723747695,
      -0.00178445085452163,
      0.0327471906936908,
      0.0069613569732851,
      0.0112176925113058,
      -0.0181068874270352,
      0.0290913746051297,
      -0.00288835880731104,
      0.0720886541357405,
      0.0411536853516364,
      -0.00941269482505587,
      -0.00192554941908164,
      0.00486705817570573,
      -0.00112598654398651,
      0.0441314703164444,
      0.0227691298704554,
      -0.0113090426692156,
      0.0346656755720324,
      -0.0158548732911256,
      0.0191510299116333,
      0.0567202757164991,
      -0.0254620602351635,
      -0.0142953814089844,
      -0.0188953712154779,
      -0.00868837678999941,
      0.0385923884541186,
      0.0775628467507096,
      0.00543989369409071,
      -0.0249651808623733,
      -0.0308094779136188,
      -0.0046765303171199,
      -0.0168450611484598,
      -0.00297523426410226,
      0.00424865302946782,
      -0.00485420587626845,
      -0.00059336105869572,
      -0.000896370259963761,
      0.0116758543216134,
      0.0436481457726466,
      0.0427820793280034,
      0.0492892748807349,
      0.0323068343644959,
      0.0170385238720189,
      0.0101106946315465,
      -0.0224095129987986,
      0.00739641647268374,
      -0.000463786371060122,
      -0.0213314221485851,
      -0.00180008476807032,
      0.0288430010030655,
      0.0119408396650491,
      -0.00347839310169707,
      0.0102448141445519,
      0.0158230779542004,
      -0.0187534581251835,
      0.0159176506389338,
      -0.0196613722236651,
      -0.0370401302950302,
      -0.00784794218872665,
      -0.0516323578457456,
      -0.0529112631563972,
      -0.0295172903404194,
      0.026908394263214,
      -0.0202682366695262,
      -0.0120425166993763,
      0.0475334239586787,
      -0.000520154257208166,
      -0.00634129268725583,
      0.00617009386459168,
      0.0377506653414922,
      0.0253417622984426,
      0.0274179876889352,
      0.0356215628271766,
      0.00373131794357687,
      0.0242861611162114,
      0.0337647204016264,
      0.0272729558772685,
      0.0129095632871228,
      0.0590099746050857,
      0.051028467447555,
      0.0390484444329778,
      0.0286964210159132,
      -0.0487750847743104,
      -0.0574836222613584,
      -0.0327432942461251,
      0.0150682715321348,
      0.0363918643282896,
      0.00989724842507323,
      0.0437795350047904,
      0.0302340210372065,
      0.0378947350075437,
      0.0668801808531161,
      0.0112332753751362,
      -0.0147331544746583,
      -0.0222878015081855,
      -0.0147439437290694,
      0.046564362567032,
      0.0217210568201701,
      0.0208757681246157,
      -0.00686520203745032,
      -0.0178278499180015,
      -0.0329713341131765,
      0.021003077174753,
      -0.000445948309685151,
      0.0206879259662429,
      -0.0362676139136906,
      -0.0274335629914406,
      -0.0216055536816381,
      0.0443304009070384,
      -0.0013696752448051,
      -0.0110329680720865,
      -0.0044510161596828,
      0.0465680666368061,
      0.0615282543875917,
      0.0757381727456073,
      0.0115546750150914,
      0.00113998639796946,
      -0.0304451326209113,
      -0.001811044424723,
      0.0930906545884247,
      0.0208814138943243,
      -0.0428572514459443,
      -0.0176248071987393,
      -0.0438704006487132,
      -0.0265236966620528,
      0.01219478354531,
      0.0190419147496667,
      0.0256063161183746,
      0.00229373806665882,
      -0.0365195463588397,
      0.00923297300955694,
      0.00270575667225326,
      0.0223663583508139,
      0.0351623210973179,
      0.0667382125596634,
      0.0135460110064936,
      0.00592569240420509,
      0.0299538030231012,
      0.0482252891899868,
      0.0237589480173655,
      0.0281661477453623,
      0.0475847412899007,
      0.00193912048000749,
      0.000922253299374232,
      0.00779581327628099,
      -0.00810507742411152,
      -0.0222569707641251,
      0.00953147017329027,
      -0.0299982750311423,
      -0.0504438507038871,
      -0.0100212455914718,
      -0.0290486522242975,
      -0.0243423279637942,
      -0.0228556643695127,
      0.0131924420147273,
      -0.0641753556672462,
      0.00237215504370307,
      0.0513849975685435,
      0.00483894825212997,
      -0.019310372460386,
      0.00714396378853719,
      0.0012384426619112,
      0.0554272798607907,
      0.0233072644097312,
      0.0163121272012663,
      0.017866425880197,
      0.0278530200501403,
      0.033139122735929,
      0.0269759238290518,
      0.0289107956958782,
      0.045795846789874,
      0.0349832160502043,
      0.00134853512004614,
      -0.00187265056696501,
      -0.043867867023336,
      -0.0416266032759342,
      -0.0314216744105461,
      0.00516421134411448,
      0.0151688481006063,
      -0.00193038091956127,
      0.0221825687325488,
      0.00225990201159957,
      0.029488622138793,
      0.0680935289218642,
      -0.000725987113863229,
      -0.0174348752735769,
      -0.0115318142446748,
      0.00113681209817903,
      0.0423639799329787,
      0.00976238466500793,
      -0.0401791026634217,
      -0.0287160330653087,
      -0.0286173697955881,
      -0.053978347080544,
      0.0110196685670253,
      0.026352071775114,
      0.016821110699069,
      -0.0627527509217957,
      -0.036710046035152,
      0.0547655380737066,
      0.015163034467973,
      -0.00981791773267265,
      -0.0415661018594977,
      0.0223706382826937,
      0.0505400261851274,
      0.072994616014773,
      0.0483688625878492,
      -0.000980487594745693,
      -0.0192716306717406,
      -0.0129725095341464,
      -0.0299414476657742,
      0.036735828637302,
      0.0160976686339226,
      0.0297040709675031,
      -0.0225458196588082,
      -0.0198347413655441,
      -0.0311833976718772,
      0.00750366813481472,
      0.0143027658847546,
      0.0137817170840273,
      -0.00594199882032539,
      0.0206341362146342,
      -0.0168725330628111,
      0.0184701539203114,
      -0.0292859052488856,
      0.0249774602714458,
      0.0435946529668111,
      0.0291864608926229,
      0.0152696982516502,
      0.010774835775726,
      -0.0225748334129312,
      -0.00741714429337623,
      -0.0290262937649512,
      0.000857489439498186,
      0.00667133949943527,
      0.0347936602116378,
      0.028993755890662,
      0.0118379213171106,
      0.02128701055669,
      -0.00699895901503371,
      -0.0392572488743816,
      -0.0401922277114536,
      -0.00919568068992237,
      -0.0303906061635061,
      0.00952502388013047,
      0.0224847725255915,
      0.0163815195824768,
      -0.0483589868962519,
      0.0633467839963342,
      0.0573200853102935,
      -0.00162970122128278,
      0.00629690691856404,
      0.0214388928423612,
      0.0207540695962228,
      -0.0229501320188434,
      0.00151424319277125,
      -0.0152431614931483,
      0.00401880922429137,
      0.01090712913129,
      -0.0134727888913466,
      -0.0224653673413252,
      0.00562762841022361,
      0.0290579959752408,
      0.000923329756919331,
      0.0255028938759313,
      0.00223506605825047,
      -0.0305489829016762,
      -0.0408746819800852,
      -0.0222715486780016,
      0.00259089330969471,
      0.0209332789950965,
      0.00863447042044742,
      0.00409610133300404,
      -0.000922654024187175,
      0.0559664432128513,
      0.047742742024468,
      0.0171278916785302,
      -0.035756787948825,
      -0.0196613541471454,
      -0.0112074119115405,
      0.0386256297768954,
      0.0189416286734262,
      0.0211599774353753,
      -0.0236177097560586,
      -0.0261482579912135,
      -0.0409557295268474,
      -0.00691937290923596,
      -0.00606656634094655,
      0.00246430928565597,
      -0.0412554755284305,
      -0.0237940597034776,
      -0.0149320533831068,
      0.0198528020203697,
      -0.00236203242119625,
      -0.00662984353057623,
      -0.00504712593971291,
      0.039103846092794,
      0.0595027734396426,
      0.0411213874396331,
      0.0266394424890254,
      0.00233811520471838,
      -0.0107969051831875,
      -0.00453942252549466,
      0.0449680745799322,
      0.00447425744372193,
      -0.00650848447227426,
      0.00145625711515063,
      -0.0240967300799617,
      -0.00800119135566378,
      0.0773712769151862,
      0.0160070347818278,
      0.00319271458177632,
      -0.0454266365891948,
      -0.0455800497958525,
      0.00429114025042613,
      0.0142928787877775,
      -0.00418230826020232,
      0.002200274981708,
      0.0052468504497201,
      -0.0305117556296421,
      -0.00536420533200443,
      0.0174160098989253,
      0.0250389793710059,
      0.0260119417886169,
      -0.0316272882178076,
      -0.024462971136659,
      0.0113797267451898,
      0.0164023966400651,
      0.0179155499773556,
      0.0413822274184766,
      0.00336015733354471,
      0.0154003575262189,
      0.0384729368074256,
      0.0139315232746037,
      0.00713850617817228,
      -0.0319090457963697,
      -0.0296468008042289,
      -0.0180604577101914,
      0.0201260013038072,
      0.0189339282202347,
      0.0123488026562566,
      -0.00151337076104471,
      0.00416230482375612,
      0.0107801229503588,
      0.0170234644376747,
      0.0229974399091031,
      -0.0345965163709727,
      -0.0204565468847215,
      0.00897548358961483,
      0.0732660494915656,
      0.00437393749086135,
      0.00102083059244273,
      -0.0213276776706985,
      0.00813640683717155,
      -0.0255817038698961,
      0.00854439920458302,
      -0.0077539310088978,
      0.0190133439594701,
      -0.0325139281211782,
      -0.0356808177378205,
      0.0281116512097126,
      0.0209563697774518,
      0.0422175348931259,
      -0.00640341727346288,
      -0.00062870664748507,
      0.012250166726286,
      0.057488045302786,
      0.0605820121503859,
      0.0156720927127589,
      -0.034700462672024,
      -0.0226635669813904,
      -0.0189466818623093,
      0.044611476369046,
      0.00826853951342337,
      0.00592648411691964,
      -0.00663885176748854,
      0.0123831345426598,
      0.00861697185495923,
      0.0107660914394202,
      0.00408777547773603,
      0.00215031804892607,
      -0.0413229186993036,
      -0.0257101897585619,
      0.0141606738483091,
      -0.0100402615480069,
      -0.00184544251865552,
      0.00495019904815568,
      0.0398055406970177,
      0.0457734179133544,
      0.0664362961206918,
      0.0560681917858766,
      0.000951084327886685,
      0.0109677144951639,
      0.00045711120055338,
      -0.00740471682041177,
      0.0280414693646554,
      0.0472273033399491,
      0.0222603974560887,
      0.0174659839726104,
      0.0481903150229716,
      -0.0124127311511865,
      0.0395398657497875,
      0.0488202938468695,
      0.00903040251021484,
      -0.0298535453915738,
      -0.0321757748673009,
      0.0297175555074781,
      0.0259320341006244,
      -0.00973008149837858,
      -0.00127944709737201,
      -0.00330177048099134,
      -0.00334860898143511,
      0.0303771704104571,
      0.0493286312228612,
      -0.00543835025694584,
      -0.00510904094248105,
      0.00572986996284534,
      0.000571926758818657,
      -0.0076576361434916,
      0.00803447876119395,
      0.0093488953323662,
      0.0113809961158119,
      0.0291757593064984,
      0.000626726639189064,
      0.0265938409768638,
      0.0419808192611813,
      0.0146439319975139,
      -0.0159625539039175,
      -0.0440954031286908,
      0.00705852132233928,
      0.000508711707349196,
      0.021689421706272,
      -0.00419924062631824,
      -0.0128653011353119,
      0.0225166947090913,
      0.0167837249865936,
      0.0246980017993541,
      0.00479314379718654,
      -0.029830758522166,
      -0.0412760450649667,
      -0.0150368734338021,
      -0.010027647905711,
      0.0154207070074608,
      -0.00379987212060638,
      -0.0586600751337365,
      -0.00947708509048822,
      0.00407828499294263,
      0.00570609058706806,
      0.00282453199784702,
      0.00239746655987955,
      -0.0227039250249258,
      -0.00111576904887345,
      -0.0125276541000145,
      -0.0350920208581095,
      -0.000438867619267388,
      -0.0088048004701154,
      0.0100060582077713,
      0.00532987866466094,
      -0.00333946279165198,
      -0.0221014633636688,
      -0.00199953554170745,
      -0.00571235451945028,
      -0.0291090905623659,
      -0.00855757129720659,
      -0.0167561743704004,
      0.0216846795592884,
      -0.0101161672692608,
      -0.0790410019834918,
      -0.0294399693077584,
      -0.000338362080954993,
      0.00322749939972346,
      -0.000169308296843078,
      -0.0162277856596612,
      -0.0306837671316672,
      -0.00964722664939088,
      -0.00112187612852758,
      -0.0406141281247027,
      0.00406411212351003,
      0.0105685498543352,
      0.0102057742189035,
      -0.0057210142828486,
      0.00366210534869867,
      -0.00440243505691552,
      0.0026588112214312,
      -0.00252057252547525,
      -0.012768274993188,
      -0.0290753837778887,
      -0.0155058391346185,
      -0.0277298649406372,
      -0.0199251369921028,
      -0.0085227262532304,
      0.0221532893476463,
      0.0368967774667664,
      0.0331329497217067,
      0.014886456309168,
      0.0699740155776283,
      0.011901359281637,
      -0.0403319147902391,
      0.0713589248258807,
      0.0233207800807756,
      -0.0286435796504512,
      0.0448928854302778,
      0.0104199326905001,
      0.00138201627758574,
      -0.0240313424692772,
      -0.00778805479694722,
      -0.0206575025893217,
      -0.0185481689848258,
      0.0129649104233513,
      0.0555039661154708,
      -0.0191107029242045,
      -0.000570201137560749,
      -0.0222458291881335,
      -0.0108441662839824,
      0.0129046182662174,
      0.0430570879686538,
      -0.0068817705628123,
      0.00920856699746466,
      0.0575630828730738,
      -0.018314756945076,
      -0.014098769962093,
      0.099204189514536,
      -0.0054044858789174,
      -0.0218010875232839,
      0.0373338897035589,
      -0.0488422213091026,
      0.0168639958600327,
      0.0354628923954503,
      0.00507333017751299,
      -0.0213199556235059,
      -0.0517120736060217,
      -0.00873212909422837,
      0.0934971248523547,
      0.113935457862933,
      0.039476237960553,
      -0.0292878364490203,
      -0.0076564100289432,
      -0.0522053599815057,
      -0.0433664348251014,
      -0.0110345789529163,
      -0.0364625861502741,
      -0.0195716908479958,
      0.0108629108223621,
      -0.0176777477833028,
      0.0200904945365969,
      -0.0118495043446138,
      -0.0152896709113739,
      -0.00758154849800603,
      0.0206313160421471,
      0.0840601403044146,
      0.0860309320536866,
      0.099464428347844,
      -0.0164048789173956,
      -0.041551444121531,
      -0.00868084289563031,
      -0.0083123123264785,
      -0.00830193017496617,
      0.0574455095531649,
      -0.00785329651307152,
      -0.0260713068917391,
      -0.0526646127075593,
      -0.0710995220787233,
      -0.0382559165543419,
      -0.0532221990268637,
      -0.020331458056719,
      0.0395770561172184,
      -0.0396279352832614,
      -0.0423816262603112,
      -0.039400714267999,
      0.00912294984982978,
      -0.0153149581174586,
      0.0290988531133773,
      0.1050913688212,
      0.0644501473083818,
      0.0389579162532569,
      -0.0173839311554014,
      -0.00554846046569059,
      -0.00233641463375369,
      0.0116810546731672,
      -0.0330666818089176,
      -0.0205968978660604,
      -0.0762528341930304,
      0.000460119252427737,
      0.00932927808511044,
      0.0651684054260323,
      0.00530546789336536,
      0.0229522101038564,
      0.0784713341558603,
      -0.0223374064375869,
      -0.0272217912604694,
      0.0560964919081724,
      0.0217215659970127,
      0.0628733171463819,
      0.0230279385086665,
      0.061822406523706,
      0.0101099150543485,
      -0.0111819199007861,
      0.0223113012868709,
      0.0028258332203257,
      -0.0108847405742543,
      0.0196750677354913,
      0.0760103152381507,
      -0.0120970094995493,
      -0.00687375430419336,
      -0.0217018951292444,
      -0.00731371798724687,
      0.0255379869373965,
      0.0846674229052643,
      0.0034045552498134,
      -0.0260876603529721,
      0.0775755762020343,
      0.00199763991899265,
      0.0499244801937662,
      0.0836186627693512,
      -0.0179192487934097,
      -0.00460669700636025,
      0.0709829235784361,
      -0.0359782543378701,
      0.0392672447813509,
      0.0644734750269733,
      0.0121660969654993,
      -0.0254816214910244,
      -0.0179100715486495,
      0.0171464051563239,
      0.100368334207874,
      0.089199673930195,
      0.00330605595566805,
      -0.00721687734359242,
      -0.0214621779410144,
      -0.0602627510872614,
      -0.0674909804109196,
      0.000446765397276005,
      -0.0120802241774461,
      0.00181504648330378,
      0.0203443225707474,
      0.0187899190971563,
      -0.00471144485047754,
      0.0039925883120582,
      0.0138800737135016,
      0.00631560677628121,
      0.022777761748411,
      0.0947839231918979,
      0.0874103729637298,
      0.0405131237694886,
      -0.0351280417793939,
      -0.0271147292205797,
      0.0141348668305257,
      0.0267554368399337,
      -0.00143591152275635,
      0.0164827983429704,
      -0.00975020747158336,
      -0.0307592003046526,
      -0.0530161511088107,
      -0.0672023287073556,
      0.0030507178921581,
      -0.0112813254293689,
      -0.0120064992947182,
      0.0110266685580391,
      -0.0241903561081754,
      -0.0261715738212043,
      -0.0291662717366952,
      -0.00288222841325189,
      0.0166910068704073,
      0.0274405235290115,
      0.0864749747540151,
      0.102007542084252,
      0.0368038353213268,
      -0.0104642396347239,
      -0.00957263297660826,
      -0.00254148108309321,
      0.0298010347177476,
      -0.00830992367260937,
      -0.00164922938563994,
      0.00901942006046018,
      -0.0189256675629294,
      0.0419723308259022,
      0.0235291099349241,
      -0.0411458259619304,
      -0.00812761409536067,
      -0.0388401137231702,
      -0.0130866720150199,
      0.0648932255173757,
      0.039337673570276,
      -0.0371538057378653,
      0.00355870414238814,
      0.00181331708774063,
      0.00384807815721312,
      -0.0226000401828852,
      0.00168931971892736,
      -0.0156894420096042,
      -0.0362027856473923,
      -0.000742661030568096,
      0.0385835666035102,
      0.0298066066272919,
      -0.0276411510997283,
      -0.047901703324435,
      -0.0372958228797116,
      -0.00503396149977297,
      0.0478904622940044,
      0.0157901272314571,
      -0.0546652491364985,
      0.00657073022045428,
      -0.0141434421289511,
      -0.00609897456537717,
      0.0572535885326777,
      0.027018041317506,
      -0.00445656558106921,
      -0.0063646889258944,
      0.0427767693478741,
      0.00560924890633089,
      0.0608409960309801,
      0.0351065286042766,
      0.0261435911127675,
      -0.0177240988132881,
      -0.0268113643429195,
      -0.0182969963078948,
      0.00182175576194293,
      0.0390283564918238,
      0.0291999814096949,
      0.00947211703213361,
      0.010405149628469,
      -0.0524637265427344,
      -0.0350714325967196,
      0.0131914525569451,
      -0.0177951770762497,
      -0.0108880900052044,
      0.029704882489784,
      -0.0106758122755924,
      0.0135973139564989,
      -0.0333390133336901,
      -0.020221629098288,
      0.000495698289002695,
      0.0226942187469711,
      0.095344779019354,
      0.0758179197551662,
      0.0550405915144056,
      -0.0350246297817266,
      -0.0204583794302555,
      0.0173705780032124,
      0.0237106513420296,
      0.007100176852965,
      0.0122563149892803,
      -0.00917727254997321,
      -0.0234570805291344,
      -0.0718095779757327,
      -0.0453543370472849,
      0.000614021633372073,
      -0.0239659051685009,
      -0.00923740365990652,
      0.0104486977855698,
      -0.020877475898361,
      -0.0239587193401899,
      -0.0127497736742048,
      0.0261040337342829,
      0.0114896218855835,
      0.065928411812956,
      0.0941379383324975,
      0.0134882076448438,
      0.0240946950354007,
      -0.0235315541848572,
      -0.0474030635902041,
      0.00533208630824845,
      0.0488072921829565,
      0.0330247009259521,
      0.018312612961229,
      -0.00401626789226482,
      -0.0209622748520837,
      0.0406734782901694,
      0.051819951668112,
      0.0339418102560606,
      -0.0258648138092259,
      -0.051930759263027,
      -0.0307096993462556,
      0.0660134521881102,
      0.0544619315915312,
      0.0285045308210404,
      -0.0802908565774964,
      -0.0106887375725804,
      0.0342907441559301,
      0.0368382513437253,
      0.0408998983991718,
      0.0308687151684159,
      -0.0436009926271322,
      -0.0408163123831851,
      -0.00811959741375979,
      0.028615897951255,
      0.00787156801273521,
      -0.006447590246014,
      0.00823438745017908,
      0.0142143606647183,
      -0.0246449597760725,
      -0.0320889963282841,
      0.00114516773742324,
      -0.0302503615541095,
      0.0158019245162053,
      0.0174427102015284,
      -0.0364517991291817,
      -0.0337299625175346,
      -0.0255236415230036,
      0.0403014535043543,
      0.0411008592606069,
      0.033499442981976,
      0.089962045288175,
      0.0681080736743289,
      0.0341150788482248,
      -0.0423066263876457,
      -0.018638402110605,
      0.0328609748311876,
      0.0317168504618042,
      0.0558435475108432,
      0.019952127414031,
      0.0378894424776498,
      0.00249875938825991,
      -0.0357997826040117,
      -0.0307597043583884,
      0.0193805498274621,
      -0.0288018679524431,
      -0.00278351551942817,
      -0.0142598909772088,
      -0.0413625300035214,
      -0.0219596206807937,
      -0.0055888316718038,
      0.00902584149688472,
      0.0245277587884253,
      0.00691624926659918,
      0.0742720951063203,
      0.0489524619206316,
      0.0369959032723446,
      -0.0172987526134605,
      -0.0170702042087079,
      0.00438811303595041,
      0.00792166654584812,
      0.0179109178286906,
      -0.0216937847840858,
      -0.015579310205001,
      -0.00939042751498047,
      -0.0449605404492118,
      -0.049755283874087,
      0.0186317435836852,
      -0.00486316653019208,
      -0.0117031356241384,
      0.0265477080629919,
      0.0255071470196876,
      0.0241662536376362,
      0.0521194300628611,
      0.0138913710467063,
      -0.00253629378377056,
      0.0281216863351888,
      0.0491780111431564,
      0.0364733201727063,
      0.00873474661479881,
      -0.0275994107017681,
      -0.0343179332868643,
      -0.0253939788864003,
      0.0192035498336459,
      0.0228198730593258,
      0.0332937626786894,
      0.0101166117945628,
      -0.0218440234101822,
      -0.0602532362723366,
      -0.0368822421993567,
      0.00752009864141515,
      -0.0342879261551908,
      0.0117173704180911,
      0.0183210800541252,
      -0.011192870279377,
      -0.00521995298295925,
      0.00119584797041276,
      0.00888511008927527,
      0.00514311925451882,
      0.0181807536245823,
      0.0270417757747797,
      0.0213994140690173,
      0.00440654109414224,
      -0.0237779832455738,
      -0.000132020164767121,
      0.0130617747480472,
      0.0167309801887962,
      0.0225836678862539,
      -0.00557046229399105,
      -0.010010079610483,
      0.0519777757957158,
      0.010706388278875
    ],
    "hpcp_over_time": [
      0.782898596039892,
      0.651762635422188,
      0.594920616188122,
      0.478422718955424,
      0.61471528871882,
      0.574043992343751,
      0.599497291454184,
      0.597344616025699,
      0.382492558601479,
      0.581495949297979,
      0.746797349561349,
      0.842471168535314,
      0.820579487458185,
      0.468604855992503,
      0.273966146579685,
      0.677622420756631,
      0.568197596447116,
      0.424518590982158,
      0.753442724696745,
      0.553075479586861,
      0.278041412153917,
      0.735129441485907,
      0.490711076726743,
      0.525754879599686,
      0.71165177542264,
      0.714808680350123,
      0.626565873013967,
      0.523727515850459,
      0.465344223205767,
      0.575641824765623,
      0.534420126127865,
      0.314284917957487,
      0.479714972599057,
      0.667717234510076,
      0.857793581245946,
      0.878968805079692,
      0.676266446063066,
      0.175570581713397,
      0.553717806569674,
      0.64936549593648,
      0.521433181170301,
      0.616728463619281,
      0.608163178279178,
      0.613631465953575,
      0.555165295573156,
      0.622690135766702,
      0.67811572755181,
      0.600929622266767,
      0.46175335830579,
      0.302305215814,
      0.254776424994505,
      0.270692306359492,
      0.299041728944335,
      0.351134275150442,
      0.828716770891932,
      0.755448209470769,
      0.230741658998855,
      0.172084568653369,
      0.266103795868882,
      0.16594155013801,
      0.233070289947096,
      0.220417995381936,
      0.218730167564426,
      0.314613033446828,
      0.302000187737368,
      0.174388668653128,
      0.413713188954905,
      0.78424119416782,
      0.54888058442716,
      0.558497004005108,
      0.545606747318923,
      0.475081238878797,
      0.627067142956809,
      0.238280645056957,
      0.232283161682799,
      0.498698189357519,
      0.392326439271588,
      0.705726450043642,
      0.680689993925794,
      0.228745183934795,
      0.188516032012722,
      0.25659864103613,
      0.220845340768653,
      0.283609044492095,
      0.318201121637719,
      0.160089353016812,
      0.246647635051015,
      0.259691872535662,
      0.333084697115945,
      0.239528673332671,
      0.232599272637921,
      0.228309929521558,
      0.444909214586924,
      0.326736571290439,
      0.259811916936488,
      0.304037922736155,
      0.19015548014982,
      0.188259109504767,
      0.589957057453461,
      0.510005968017576,
      0.69732364047044,
      0.288528055565725,
      0.333811608421758,
      0.494994646518683,
      0.394909490088066,
      0.49655050196691,
      0.734494563767393,
      0.512672425322259,
      0.875017018951677,
      0.793850641758234,
      0.661126352231074,
      0.489579382096912,
      0.352072801179049,
      0.224599603533883,
      0.251025061800318,
      0.29477580203004,
      0.594230339799543,
      0.414997568445407,
      0.401540581677798,
      0.461392880980608,
      0.350441302561252,
      0.305963274097392,
      0.464117354973794,
      0.477568625086014,
      0.357414307298241,
      0.264146188207814,
      0.352785874712317,
      0.379259582846298,
      0.516927146071163,
      0.786378601065206,
      0.38131808493893,
      0.443367932969447,
      0.368286934468727,
      0.547625144524535,
      0.539250370542649,
      0.453602657898926,
      0.16480051314047,
      0.14848429076439,
      0.209915136396044,
      0.455013301577665,
      0.591117604337507,
      0.533794958157222,
      0.308991051643972,
      0.354736077354407,
      0.319102925411567,
      0.278538795888951,
      0.540809641610468,
      0.494092609615045,
      0.277944451982413,
      0.267671104082427,
      0.300277700807535,
      0.148816472913325,
      0.234392803694824,
      0.307075234065098,
      0.259667555235284,
      0.356267943659091,
      0.280655712061562,
      0.137003732845709,
      0.18095670587911,
      0.705201143760991,
      0.518375095869499,
      0.846115413324823,
      0.71759783506115,
      0.516488437898168,
      0.515083751598547,
      0.24602623409372,
      0.171795748731008,
      0.439369412244585,
      0.471515275830285,
      0.618024190954232,
      0.361085433725414,
      0.224536236401493,
      0.559785841134381,
      0.254848481589132,
      0.218797280641175,
      0.573741463111074,
      0.377869225138039,
      0.177341552716727,
      0.265765037372101,
      0.237907008316832,
      0.145588319101647,
      0.179791915432309,
      0.301786455201531,
      0.226517418353252,
      0.230670939737107,
      0.33555599122085,
      0.260809741100005,
      0.340741296079683,
      0.146979663925508,
      0.176959490451807,
      0.78401763313239,
      0.494116852725989,
      0.561863172253162,
      0.332390131244186,
      0.246081064574595,
      0.451917174627245,
      0.428131069714478,
      0.552910206669892,
      0.875312354044458,
      0.707841628909889,
      0.422940324732999,
      0.374961256022513,
      0.413832341264087,
      0.411407220311925,
      0.549378537454477,
      0.200973107504624,
      0.164162785118105,
      0.271444163236532,
      0.341445078965836,
      0.332467641084396,
      0.410193433872534,
      0.269250275758899,
      0.224471289210277,
      0.367928053366131,
      0.640976973998016,
      0.429157942227284,
      0.227507491988534,
      0.2331152476823,
      0.333229911498467,
      0.302954180150863,
      0.461569746627807,
      0.778999153495654,
      0.538063166309272,
      0.270415725662115,
      0.356672156121906,
      0.672687104895534,
      0.512199394565193,
      0.334232994394411,
      0.206729767466196,
      0.144576759600044,
      0.207312471527035,
      0.644188720405967,
      0.845803527993607,
      0.43787256463812,
      0.273353721546802,
      0.388941141801529,
      0.717429488984144,
      0.747674624063424,
      0.626127636924677,
      0.301880861899686,
      0.266343917449552,
      0.337690864245548,
      0.370640737294805,
      0.399130628882781,
      0.53200981775882,
      0.292473024216546,
      0.393483189272297,
      0.34786482063593,
      0.382766816261912,
      0.422459319149932,
      0.848599649373454,
      0.444477055302322,
      0.566751774630999,
      0.491740169722453,
      0.465369581370688,
      0.69093463740699,
      0.31555562000733,
      0.393792355786408,
      0.261770739347811,
      0.417992993567017,
      0.404458384342406,
      0.706687021987241,
      0.423033053992616,
      0.353270811009061,
      0.261349274688459,
      0.237016728176814,
      0.44273915836436,
      0.581644841441463,
      0.30175617966183,
      0.515521880170823,
      0.687403845409642,
      0.315955188458046,
      0.276252322651013,
      0.291756564033314,
      0.398955276048854,
      0.342053860052587,
      0.334015976815141,
      0.303620111213775,
      0.297194588029881,
      0.386959380572616,
      0.403560491676213,
      0.25797846999964,
      0.255029203926276,
      0.35151049127478,
      0.498454798924671,
      0.238764767793739,
      0.3021957890575,
      0.437108676603345,
      0.285583918800121,
      0.443855460306597,
      0.777883005014708,
      0.622890594557323,
      0.897205213556378,
      0.571750925294455,
      0.480914162856778,
      0.35227138320875,
      0.419490572366681,
      0.182722651768141,
      0.261090472870863,
      0.339751130761617,
      0.502360558504647,
      0.461319518037015,
      0.449904460283678,
      0.326803011427779,
      0.329601123812483,
      0.325781453296116,
      0.549640836715792,
      0.442742049337532,
      0.23340965860112,
      0.332855050710359,
      0.338180475048523,
      0.403514375649497,
      0.643818122724502,
      0.695673765243418,
      0.578833194626738,
      0.361553697051029,
      0.848874710215681,
      0.446917579370954,
      0.42063215174405,
      0.364979653630626,
      0.154262982982451,
      0.164410050630954,
      0.19031208239992,
      0.395996619010018,
      0.361963786180056,
      0.33989514975935,
      0.32515861192718,
      0.374437358371271,
      0.48645423207634,
      0.831571587188458,
      0.403537668390338,
      0.332948696210826,
      0.280946591574334,
      0.180624156738532,
      0.292295375990719,
      0.267519442014043,
      0.346874916217486,
      0.248863713480433,
      0.174580247887025,
      0.28771698574482,
      0.162602757895297,
      0.395861505617823,
      0.371439835245786,
      0.312914473827414,
      0.390214265533465,
      0.310745933229554,
      0.294141400472165,
      0.267678071683332,
      0.301427037546026,
      0.309223372205059,
      0.5489882402273,
      0.601547279324563,
      0.451874092930789,
      0.832659131458791,
      0.364133964363637,
      0.413259438172921,
      0.377270854955634,
      0.253468197843175,
      0.442544078322776,
      0.682439429485881,
      0.296357592342812,
      0.35661134166462,
      0.435449642399231,
      0.436293574577334,
      0.391088133156572,
      0.632551358290801,
      0.222539343812315,
      0.240343859536974,
      0.300399104135941,
      0.324779775656735,
      0.707976852268294,
      0.556165500804489,
      0.417809469150538,
      0.187070119638779,
      0.745612207066272,
      0.344065657726896,
      0.720207824394811,
      0.338173058340431,
      0.353987771031933,
      0.438222212680681,
      0.280113996876498,
      0.547045449656978,
      0.507023085600907,
      0.314361416117771,
      0.490715322588411,
      0.682829121661366,
      0.682993126104693,
      0.579459650896368,
      0.670195305646641,
      0.251354822047772,
      0.23272831891184,
      0.365826344071579,
      0.487148831694299,
      0.562845180601253,
      0.916025120641413,
      0.560354280677428,
      0.766487246771685,
      0.516056233881984,
      0.55587747074523,
      0.327158127886888,
      0.235335287466686,
      0.282068419618933,
      0.431739056605395,
      0.385191864395786,
      0.531923992004703,
      0.974305210699958,
      0.693093684073527,
      0.304971921991509,
      0.235423854410452,
      0.498379242052534,
      0.533529920143121,
      0.793508479706514,
      0.234970970443734,
      0.222759379870702,
      0.315075866056039,
      0.290672987384285,
      0.234079268530242,
      0.291403810192952,
      0.474964215408618,
      0.485213113796653,
      0.559611053994482,
      0.876761030814618,
      0.616690871931841,
      0.213209950455314,
      0.332750441301317,
      0.413139203358937,
      0.388765119631704,
      0.800765598465437,
      0.59150092070515,
      0.524735236878245,
      0.694736913221217,
      0.784939079986791,
      0.625232137420333,
      0.536268865834187,
      0.457612731963629,
      0.489161995685835,
      0.353198270480468,
      0.497814824588941,
      0.355269224411341,
      0.593778263190622,
      0.764262329386875,
      0.348936217174289,
      0.595031891734365,
      0.726851186274598,
      0.693356214135036,
      0.912580886180895,
      0.819321090223879,
      0.861766226453995,
      0.937326271952879,
      0.676685663680968,
      0.557210193525902,
      0.853163382818329,
      0.780858312027156,
      0.526832303274709,
      0.877193563980333,
      0.866323914711902,
      0.652905473746472,
      0.834775195987278,
      0.911391942727847,
      0.96785348089841,
      0.822231034461898,
      0.182269564900278,
      0.941128668085228,
      0.861305176439752,
      0.798923638974542,
      0.967960545897039,
      0.784699847306927,
      0.429547468447153,
      0.83683864335136,
      0.635103688045193,
      0.931731292298052,
      0.924339025158683,
      0.884507660992373,
      0.599196613596546,
      0.696821464056201,
      0.626610588184285,
      0.49418388978696,
      0.956690531911027,
      0.97901261520979,
      0.708901771010533,
      0.818249402461838,
      0.833959402223129,
      0.920441968208995,
      0.902667824792438,
      0.334914876176935,
      0.803132907875455,
      0.656366963695268,
      0.529436102220635,
      0.833422407917967,
      0.834127608046309,
      0.723256554095497,
      0.564216437499896,
      0.645339590267347,
      0.746402181006605,
      0.649776327865914,
      0.574038784465817,
      0.396986683609444,
      0.289410412846421,
      0.401862556383148,
      0.342290426521226,
      0.412011939006649,
      0.730128743238642,
      0.569874612475933,
      0.337718822347516,
      0.296773773234809,
      0.382285201363075,
      0.321291876998179,
      0.541529063959189,
      0.486914005702382,
      0.296867412505062,
      0.484660700940242,
      0.48038429956581,
      0.29546945395318,
      0.590868112307402,
      0.694792339855808,
      0.46630382722423,
      0.81388821617439,
      0.478895995090892,
      0.436267181729383,
      0.517122216366957,
      0.522936550685928,
      0.423817241195959,
      0.689352737478945,
      1,
      0.932147947321695,
      0.600078772911675,
      0.299602599163291,
      0.309006693702028,
      0.382652889125207,
      0.312182181292008,
      0.670301620353584,
      0.430999918126447,
      0.221367377448568,
      0.47428938656418,
      0.351983633693507,
      0.51773832507873,
      0.406167295194521,
      0.497539574702701,
      0.44685651026891,
      0.575150493683557,
      0.353382401676362,
      0.2354001781605,
      0.529458511080222,
      0.324313439041953,
      0.338910826770688,
      0.592373412114751,
      0.628154320536679,
      0.882571797622026,
      0.445905245701255,
      0.423601831734985,
      0.577696272483344,
      0.422051218531769,
      0.715270132228535,
      0.68344778939589,
      1,
      0.908955121274867,
      0.965287689908687,
      0.764036448840296,
      0.509531479025836,
      0.512599150867897,
      0.519767313096903,
      0.275915913857192,
      0.282938418421048,
      0.567628755828383,
      0.592338302683898,
      0.54026924849579,
      0.930951649694013,
      0.448415357878393,
      0.360459286071966,
      0.687383855042797,
      0.987426460165291,
      0.57309143471615,
      0.480051396914141,
      0.457392610253672,
      0.627442341908832,
      0.772808117648178,
      0.813440971051379,
      1,
      0.636941167277575,
      0.438911406675757,
      0.586145273651531,
      0.447609365494299,
      0.412135015975908,
      0.223285183870737,
      0.258475019392304,
      0.279504145727811,
      0.62782287353139,
      0.596838305676599,
      0.902584575032529,
      0.568690403666668,
      0.565564879866359,
      0.523081819343926,
      0.467873524092096,
      0.647052308412065,
      0.451833319904463,
      0.278681551429453,
      0.476278760460734,
      0.408039881998483,
      0.318981725281209,
      0.716523328514298,
      0.450255522241481,
      0.322358545099793,
      0.505714935285619,
      0.332659403955288,
      0.204378113528026,
      0.192189253115741,
      0.587784493513691,
      0.463783260071243,
      0.554841142670526,
      0.706215268725427,
      0.48283008312819,
      0.414438971349736,
      0.422623875280276,
      0.246519022754357,
      0.793517046192964,
      1,
      0.857853992996652,
      0.432171933606238,
      0.255475442409277,
      0.679809249131573,
      0.424868674602957,
      0.253346073298023,
      0.770385362267515,
      0.651143804845812,
      0.282335879250842,
      0.496961971085799,
      0.403035757192539,
      0.277472032698226,
      0.340845233943482,
      0.728125943614188,
      0.399157268799189,
      0.526415317706452,
      0.388574352109665,
      0.292357725239919,
      0.386304087889893,
      0.302499406223195,
      0.225862267913392,
      0.755753216981937,
      0.574505579766812,
      0.617121891131489,
      0.359484465530287,
      0.361312392521522,
      0.515329186702216,
      0.395111465669891,
      0.559734490199037,
      0.541526316877441,
      0.915966111343531,
      0.712687576345983,
      0.52719326869176,
      0.505823145986655,
      0.50359988574143,
      0.421608017628339,
      0.293983960575139,
      0.240633903376604,
      0.260016540472835,
      0.327707775907273,
      0.461510337445032,
      0.861988559506117,
      0.479646485833776,
      0.316060086471351,
      0.261352795165625,
      0.965878011478242,
      0.971867312879334,
      0.251710567309539,
      0.307006256300342,
      0.504288022466672,
      0.398437155957016,
      0.790006251622519,
      0.709260710543492,
      0.962083410347875,
      0.5640626673995,
      0.532699325829223,
      0.529269250568577,
      0.53305497752785,
      0.388935352688193,
      0.319664441441552,
      0.240512813250908,
      0.442190540112483,
      0.487382339829498,
      0.92141713731247,
      0.39179249092644,
      0.397531848717005,
      0.404080840925675,
      0.767909137081039,
      0.811139481467713,
      0.669359923879762,
      0.431704146959737,
      0.38757656042719,
      0.516709605487004,
      0.618252689847313,
      0.579786738103404,
      0.774910182997552,
      0.481054366923721,
      0.668487626456098,
      0.711142268792725,
      0.494570606834646,
      0.462089064040663,
      0.815263710437052,
      0.414237978239637,
      0.431939892499075,
      0.739032079601443,
      0.502933001192445,
      0.655604138153587,
      0.390460832056385,
      0.557948130694914,
      0.269441184388363,
      0.98074416371285,
      0.952729513181141,
      0.680648092915647,
      0.40868014059223,
      0.557185107909395,
      0.490222270983493,
      0.381089530323756,
      0.752125694992505,
      0.607772924529744,
      0.43182066083393,
      0.694524939445672,
      0.786155837078952,
      0.4264825509669,
      0.415388944217516,
      0.551507884849954,
      0.579113296739219,
      0.675203180291722,
      0.47707337997024,
      0.37494525177603,
      0.36281468941056,
      0.604743440604778,
      0.645488708487465,
      0.553339769037607,
      0.521203385699428,
      0.580252175144715,
      0.570703625396818,
      0.318164519247471,
      0.370233456434487,
      0.621326805776174,
      0.389913429670879,
      0.513166785438164,
      0.646754518455635,
      0.991717124853827,
      0.868076463896979,
      0.946737986817847,
      0.583468655689498,
      0.466435806904392,
      0.526328303963642,
      0.346342937159247,
      0.282174294001589,
      0.474965745689121,
      0.559315387548658,
      0.58675514055939,
      0.499359533387701,
      0.663044570108929,
      0.333226249530549,
      0.462997718314859,
      0.817082364256848,
      0.993394591249076,
      0.328111304364883,
      0.515256528450124,
      0.604958994601271,
      0.65391485726033,
      0.855942202085321,
      0.772946799999962,
      0.978589322613247,
      0.656455187068689,
      0.834828738502486,
      0.498376007746582,
      0.442285315198571,
      0.419872946664415,
      0.34760398788815,
      0.379916217021203,
      0.354707492346851,
      0.39857027062853,
      0.446029748195181,
      0.539357781587823,
      0.557068017657347,
      0.457351107601049,
      0.745439525827807,
      0.900129958481009,
      0.420248515483264,
      0.381731339191704,
      0.400448669915961,
      0.394636390562454,
      0.466700503793545,
      0.299045119281942,
      0.373547234393017,
      0.364277149505428,
      0.327718746945244,
      0.363754370775665,
      0.171607235346278,
      0.339128162327827,
      0.438602150555608,
      0.628671618420873,
      0.421213824785554,
      0.387896654058537,
      0.437010271009212,
      0.413313443680477,
      0.429749419551329,
      0.553881208058321,
      0.71556674284503,
      0.742560862209315,
      0.457208951176055,
      0.797271354759028,
      0.310706149138323,
      0.354982050191644,
      0.350269486391146,
      0.386926232033976,
      0.482996560040866,
      0.875967141222068,
      0.999346928335884,
      0.523200473767912,
      0.653666585964281,
      0.427761403885569,
      0.478420050086484,
      0.59801442452814,
      0.302408030427157,
      0.284217540066453,
      0.392585244872281,
      0.345415528612453,
      0.548927592878698,
      0.672075302823705,
      0.503122718382759,
      0.242468396264126,
      0.655483615872804,
      0.369880612949487,
      0.873416569945053,
      0.338877621610847,
      0.557518803478368,
      0.503077174476253,
      0.342524726793527,
      0.642624061608548,
      0.790657991631943,
      0.892909330954804,
      0.89141026234467,
      0.903977327150684,
      0.625421512770582,
      0.539052525868759,
      0.513351166328989,
      0.255936072518946,
      0.288358425785587,
      0.443359733268545,
      0.376742259417956,
      0.456386649427777,
      0.841769781373365,
      0.610073014838132,
      0.85832204876501,
      0.728442497293217,
      0.72424213714698,
      0.418366174383953,
      0.232122564218931,
      0.295676206644973,
      0.477101828586468,
      0.552191028272212,
      0.64231718910902,
      0.518355715844952,
      0.909467893617323,
      0.440253083112504,
      0.333316594212556,
      0.474097048175512,
      0.895099996867793,
      0.661219794093851,
      0.343531170483965,
      0.390927277505401,
      0.39727305417162,
      0.43637398133163,
      0.333732773435649,
      0.304487664068621,
      0.658259631280955,
      0.484374064402527,
      0.409930348119049,
      0.769287997197486,
      0.53340023204543,
      0.249140706004077,
      0.386615965754779,
      0.556628276204983,
      0.463200529363285,
      0.886119178670438,
      0.795489834380783,
      0.552548740386896,
      0.885196885647026,
      0.998915840691084,
      0.926995976226847,
      0.932909418915276,
      0.612925002083067,
      0.717241417523279,
      0.414655485912035,
      0.537954985560495,
      0.380649814887615,
      0.446927753116928,
      0.730801341298386,
      0.57169167763188,
      0.754664917814344,
      0.697031909782014,
      0.484113667435185,
      0.753336500371037,
      1,
      0.636294321262215,
      0.811656937706678,
      0.260767208286344,
      0.392145833959253,
      0.792198256718726,
      0.608920492517722,
      0.358831180758979,
      0.686926484687131,
      0.443458487539215,
      0.54565278464856,
      0.966136549242181,
      0.819857647701117,
      0.937221826321127,
      0.615967892071875,
      0.153296056710226,
      0.701639879393742,
      0.841713878729725,
      0.371791717733656,
      0.957640418608509,
      0.307558846774,
      0.249672460380659,
      0.732859977716014,
      0.626132411392731,
      0.695836762444564,
      0.87258094141395,
      0.488707009717645,
      0.442237843970783,
      0.622630657034182,
      0.225219652443142,
      0.345584531485326,
      0.686859298478374,
      0.375572726409615,
      0.468453319725989,
      0.860873186180363,
      0.771908716141875,
      0.881970783278404,
      0.664141339048848,
      0.184189300777818,
      0.585278229301209,
      0.782566201964506,
      0.459574263946713,
      0.852334804422006,
      0.896477248448286,
      0.765623119121709,
      0.64202722427142,
      0.759139929552836,
      0.728981046028367,
      0.670899294845579,
      0.626452381484665,
      0.377233555001314,
      0.282512983985584,
      0.272799272655636,
      0.362885500794204,
      0.383868690156621,
      0.431563986292772,
      0.550859483854215,
      0.285767574585064,
      0.186546304378867,
      0.529090213265117,
      0.272095203142713,
      0.347093430939406,
      0.395344538498848,
      0.244560581901205,
      0.420730114146371,
      0.402041781206676,
      0.28828704363417,
      0.588089156715423,
      0.644921234269501,
      0.271946472813721,
      0.59590776246955,
      0.519482819944578,
      0.253501377315008,
      0.375681372536523,
      0.326801645737263,
      0.245368739615237,
      0.393453188112173,
      0.432412165036075,
      0.648723304757987,
      0.602841788034824,
      0.351641316219459,
      0.345124718034636,
      0.349444331485447,
      0.281666348736766,
      0.465565450156963,
      0.35252601263509,
      0.139483468458524,
      0.388969163887606,
      0.395838770387085,
      0.432636580988822,
      0.316482923552999,
      0.372769581607945,
      0.393198511525437,
      0.521443113335117,
      0.356158221005323,
      0.261394359619611,
      0.380746073730148,
      0.259322845864615,
      0.193075506027643,
      0.339381155076536,
      0.380378188871595,
      0.424434182804597,
      0.426377201756998,
      0.314087588890105,
      0.45759162800292,
      0.296456730369879,
      0.516835723285392,
      0.511162206874663,
      0.349756393442708,
      0.481078416236519,
      0.549368919819694,
      0.467329366515561,
      0.561244789014476,
      0.575338779842624,
      0.262488345416733,
      0.271813821531272,
      0.292901490152646,
      0.478050975506514,
      0.430026374924487,
      0.606168022329131,
      0.522405337364539,
      0.282263807348455,
      0.337640330305621,
      0.492987388041055,
      0.477053432633014,
      0.358266508867379,
      0.338014898988964,
      0.489819504044547,
      0.541738969673979,
      0.568977403736095,
      0.580512370969661,
      0.2352578475499,
      0.384809325413087,
      0.38197847829402,
      0.565329751409455,
      0.329550449661361,
      0.44093752077199,
      0.182468478557523,
      0.197097325427042,
      0.230574107946501,
      0.558428892270961,
      0.4487780474033,
      0.418813785483052,
      0.435220207480395,
      0.523953618865536,
      0.403617105907801,
      0.320381276608309,
      0.427716851893869,
      0.483804760742309,
      0.267763854555625,
      0.283337542371978,
      0.478393472251355,
      0.261210829067155,
      0.227619043928938,
      0.35586966959082,
      0.26048678920897,
      0.424405539826067,
      0.430843077097746,
      0.241164385746416,
      0.143342640934379,
      0.491834610175325,
      0.271913361162038,
      0.475382582930356,
      0.58828711167978,
      0.231856003488964,
      0.285123989573102,
      0.238889119541626,
      0.157159111962841,
      0.44582561792186,
      0.405085604677289,
      0.482650933387657,
      0.365857937187246,
      0.300731485229273,
      0.707767122368645,
      0.3478528072243,
      0.215254644470301,
      0.415322343640686,
      0.463047465733494,
      0.222625656196804,
      0.416600317287863,
      0.41729542611953,
      0.220488125406311,
      0.388022885022303,
      0.444404050776673,
      0.287350199481214,
      0.318297589920436,
      0.300424485450562,
      0.200634506839754,
      0.340528896885061,
      0.234681736457595,
      0.249113555583373,
      0.490011883043795,
      0.480970370189708,
      0.589355929546569,
      0.341587114742764,
      0.266997645481964,
      0.472646909954876,
      0.453157635923231,
      0.657615695416848,
      0.511284305143908,
      0.2577602716804,
      0.536972205397269,
      0.481665694923119,
      0.491104543478939,
      0.439123597516969,
      0.575832835213603,
      0.255070098029289,
      0.217115719098133,
      0.29083530193688,
      0.330370596692952,
      0.315946658837099,
      0.375088671534668,
      0.43862931187958,
      0.369965049369603,
      0.292990921887932,
      0.662000722026829,
      0.456283269543478,
      0.293080546910802,
      0.277292252579936,
      0.447373703180116,
      0.4099094030184,
      0.685191349912603,
      0.680289566705171,
      0.401288563627315,
      0.258776395999463,
      0.356362294759174,
      0.392505224739317,
      0.434873904373074,
      0.492710349397744,
      0.278358933352209,
      0.155140000394375,
      0.345003231875119,
      0.428178882222566,
      0.396558903662828,
      0.394414522792231,
      0.364306138070233,
      0.33055249966768,
      0.535697274723193,
      0.445490954555654,
      0.464399351905395,
      0.391858715479202,
      0.357830177824864,
      0.473202926452315,
      0.53094358604414,
      0.506053882402525,
      0.609071915733094,
      0.405728758156858,
      0.471019077094615,
      0.470304120505648,
      0.387064319100753,
      0.49932701831458,
      0.633012957039818,
      0.464267668832588,
      0.409213324510511,
      0.532562867528116,
      0.485499186149377,
      0.509565756870866,
      0.323197408875952,
      0.503273960158796,
      0.303482628501761,
      0.376113940206522,
      0.404266023739091,
      0.336170067442173,
      0.398841905272281,
      0.381599904754005,
      0.325000094505289,
      0.3281322332337,
      0.49949630293712,
      0.55345558432418,
      0.278203978865954,
      0.525322759773395,
      0.884587697040976,
      0.449881679405109,
      0.392819476882238,
      0.482659503399164,
      0.323235118599564,
      0.483918398749038,
      0.341236359986987,
      0.403097496655653,
      0.3411477754795,
      0.552148289276524,
      0.406909195991817,
      0.384930157033505,
      0.439431326750733,
      0.421048258244285,
      0.521582035629092,
      0.341515049324776,
      0.336509349744517,
      0.470277119844477,
      0.378049465628956,
      0.590936364220254,
      0.467003221781285,
      0.454306940673322,
      0.481429407667945,
      0.414042918171175,
      0.323018080693587,
      0.401237507891778,
      0.638903655343389,
      0.363462868793515,
      0.223107849119581,
      0.383913701172778,
      0.395683409338525,
      0.476980699150178,
      0.498154252451683,
      0.481206447422223,
      0.397625789489083,
      0.364130288081005,
      0.544806487649035,
      0.442341386888794,
      0.24996388834993,
      0.436666065475734,
      0.360523683517636,
      0.566599876563295,
      0.746316596682418,
      0.56332042329811,
      0.488249864503323,
      0.461057297752944,
      0.734895522036747,
      0.470032413073696,
      0.536090236614173,
      0.429022291285781,
      0.133117467127494,
      0.18024477645017,
      0.243035335750755,
      0.459949017229374,
      0.446637909746799,
      0.437133063770427,
      0.407348231827743,
      0.491455832609813,
      0.515233784758245,
      0.611950990607473,
      0.487897215575827,
      0.325230326770155,
      0.230232468883271,
      0.32034597785863,
      0.337522162070355,
      0.258749206982866,
      0.38817557932355,
      0.284477629926908,
      0.256223585729628,
      0.295432415668809,
      0.194939309875698,
      0.22259473862844,
      0.328249559356426,
      0.3023933216214,
      0.313042970269824,
      0.338949445870071,
      0.371461219519381,
      0.330948751798565,
      0.385106786540164,
      0.376768355413669,
      0.646833464029215,
      0.541580591002095,
      0.387068433098186,
      0.510639771033341,
      0.440885926394723,
      0.388918891921896,
      0.47184597553771,
      0.333651734755197,
      0.484232136715512,
      0.64362065200626,
      0.364880805364383,
      0.574805992561496,
      0.507839851642115,
      0.407305545891627,
      0.43090877113,
      0.609152097865484,
      0.259013409809826,
      0.25217845742243,
      0.448854944530495,
      0.318609682225225,
      0.467063843612243,
      0.322500105871483,
      0.37679110044903,
      0.248855238379832,
      0.455625071945837,
      0.389529293681383,
      0.586468069436909,
      0.309737502730085,
      0.376134965910934,
      0.451292871924423,
      0.362004604261665,
      0.710571759573159,
      0.944112622466945,
      0.449856013073485,
      0.59717683042881,
      0.722393955409259,
      0.522508250395415,
      0.495515941285055,
      0.445828246044507,
      0.150899265314199,
      0.200542947770845,
      0.455257766889031,
      0.313319734391263,
      0.345047781121424,
      0.592897224890634,
      0.593696779626746,
      0.665657346412985,
      0.733723069380535,
      0.56745632697891,
      0.312209473601704,
      0.24044242724905,
      0.291298812085815,
      0.468565401301893,
      0.481434005369368,
      0.522989628150912,
      0.545132838585005,
      0.510579313801982,
      0.274893168640563,
      0.337814261664086,
      0.622125678313484,
      0.55080209840472,
      0.540786448782364,
      0.221276036242619,
      0.291727598917038,
      0.482679208381254,
      0.384293955766885,
      0.401405050048186,
      0.348377623513935,
      0.593061388603879,
      0.523427558862399,
      0.482662082316753,
      0.638518505993701,
      0.406054194339122,
      0.340602891337245,
      0.345943971795934,
      0.551460522069338,
      0.466257650792167,
      0.716708059028728,
      0.624117227509231,
      0.517462038045367,
      0.82227915068381,
      0.837692259693825,
      0.803894160089789,
      0.717461870767039,
      0.530949080134698,
      0.542120646530818,
      0.357769407639621,
      0.435288113099319,
      0.3158553427843,
      0.574904671807665,
      0.498507734739626,
      0.491579365466025,
      0.573277239461073,
      0.54156788900644,
      0.309091429995341,
      0.508264759946407,
      0.912057415176236,
      0.57665544837679,
      0.677851301198318,
      0.244656565216774,
      0.348088574183026,
      0.676398495346113,
      0.591891081785033,
      0.595259930071445,
      0.621661088322324,
      0.154486063444615,
      0.548774038055118,
      0.87573325992778,
      0.732345916471935,
      0.874433457119606,
      0.650150429547568,
      0.408658407118657,
      0.617347931074566,
      0.690246450023145,
      0.358253216301119,
      0.860241209621383,
      0.407386965724759,
      0.51310749325998,
      0.630576693820231,
      0.659696908821286,
      0.620784542982689,
      0.755378999786772,
      0.480139918965354,
      0.469985408931568,
      0.698069652836893,
      0.420268324862791,
      0.590002846058321,
      0.612208769272304,
      0.155322594725815,
      0.487394665617141,
      0.850852558193685,
      0.712248121387249,
      0.875357215938367,
      0.551714832975748,
      0.466587540777658,
      0.54394215698526,
      0.728370588253373,
      0.503822358675658,
      0.759540858429777,
      0.815564351488878,
      0.687480281547627,
      0.792933296308197,
      0.748266142251379,
      0.708064530889164,
      0.859510549212376,
      0.803171366389426,
      0.637543885079028,
      0.440794869066919,
      0.578800458835241,
      0.598485161597866,
      0.72469182484606,
      0.431048328888507,
      0.400108382558292,
      0.30956779268281,
      0.271710612672244,
      0.446698855014543,
      0.233607104749309,
      0.38278693921298,
      0.378440865210719,
      0.293654694656888,
      0.522555757096311,
      0.502654960989168,
      0.231828399006546,
      0.597760498511532,
      0.517678483484391,
      0.31696263501642,
      0.514484262121898,
      0.444714022597709,
      0.274936554766915,
      0.290469725228162,
      0.303492309971312,
      0.471635169991567,
      0.545913715544357,
      0.354494422337175,
      0.443484566452545,
      0.534525387592154,
      0.376551889302745,
      0.476038520022154,
      0.473542556505478,
      0.324815690179678,
      0.460578768248515,
      0.38088819017945,
      0.17281590440337,
      0.423288814424834,
      0.409754659816076,
      0.437220644479731,
      0.357479460589864,
      0.313869558305331,
      0.358032401528569,
      0.392312533944121,
      0.464361744771133,
      0.375714016509875,
      0.392003657017794,
      0.241893397692206,
      0.178808673216369,
      0.257913905851189,
      0.469445367547599,
      0.331167551865173,
      0.365680339829271,
      0.284654578203102,
      0.514045818243587,
      0.35656409042252,
      0.574970441619046,
      0.643875529628807,
      0.321462366554342,
      0.356313625189967,
      0.469558892492714,
      0.450867177753377,
      0.558865075801301,
      0.604179500423561,
      0.238551752758654,
      0.242831980074881,
      0.330200750576977,
      0.472363812122528,
      0.396360406951606,
      0.622095599313297,
      0.482308203943731,
      0.305471597723752,
      0.294204107906983,
      0.427632332438374,
      0.356296730860546,
      0.336664477206333,
      0.276610763714507,
      0.390504703235579,
      0.457856300235567,
      0.554696034613848,
      0.810772735270342,
      0.28697419535599,
      0.471973111771388,
      0.433750727685396,
      0.57389200340893,
      0.35186219922936,
      0.477037637068765,
      0.177647681798336,
      0.232079954183162,
      0.341552793149756,
      0.642893021227646,
      0.575151856794298,
      0.369012585030096,
      0.396957971689536,
      0.506027682106695,
      0.448408574399114,
      0.236890335330344,
      0.321173697465409,
      0.406020505764221,
      0.257481848467694,
      0.364673833678842,
      0.486171029071645,
      0.225735018491776,
      0.374348735498919,
      0.438276076722523,
      0.260569605823647,
      0.40048521589276,
      0.452600254827548,
      0.265419034453839,
      0.185430447232351,
      0.478775725660639,
      0.321846475720741,
      0.512141143662191,
      0.661651865151352,
      0.351078307510122,
      0.288345181176633,
      0.265393357097528,
      0.397555299798012,
      0.451998410785765,
      0.420486694416259,
      0.408334213322697,
      0.361810725208579,
      0.276415204562103,
      0.709049012722441,
      0.330138792051514,
      0.218066120099732,
      0.500136595652313,
      0.442425738264176,
      0.231984109742012,
      0.499688655882269,
      0.588714801054987,
      0.300186736016444,
      0.40839692906333,
      0.437260140558593,
      0.281832923882862,
      0.362208849952121,
      0.361203710408904,
      0.246577856251584,
      0.321196952012855,
      0.188161238489876,
      0.196272392231657,
      0.684409544039258,
      0.50906112768644,
      0.605124847053735,
      0.375786088729006,
      0.215039034543166,
      0.433416650132842,
      0.517432111278924,
      0.688290446546329,
      0.650400031345603,
      0.296215239255379,
      0.602144743691324,
      0.485583513058624,
      0.54067438369565,
      0.527028097678322,
      0.403138147737601,
      0.23957129451916,
      0.19638661314458,
      0.33331629138264,
      0.424691788646066,
      0.329181681587345,
      0.327326255910086,
      0.374782237610514,
      0.343319275587768,
      0.269678577589935,
      0.572547028519021,
      0.396576420815223,
      0.320411800498867,
      0.312047350285665,
      0.507806838008451,
      0.595677201983329,
      0.798180884171357,
      0.627560391495101,
      0.328659106980576,
      0.345048799837822,
      0.414498631373527,
      0.501135634029798,
      0.576801755550513,
      0.432428865257901,
      0.257600116510875,
      0.206097407078584,
      0.444586156516553,
      0.608180699975176,
      0.386312440114764,
      0.534512378281149,
      0.334098507451685,
      0.339319091615338,
      0.585725315689931,
      0.507799900996932,
      0.384374604496105,
      0.342337446678891,
      0.35467174738671,
      0.505865905184461,
      0.404258268215828,
      0.488151514295952,
      0.689946221738043,
      0.430130512484943,
      0.4238842350209,
      0.514001203559208,
      0.431464091725484,
      0.470234350882416,
      0.569208977339531,
      0.446017623946148,
      0.488967016969742,
      0.600013464966357,
      0.363574183083261,
      0.537819088309228,
      0.424795007835959,
      0.419993359501737,
      0.380969638706726,
      0.330264229922455,
      0.32821875981167,
      0.336875427151606,
      0.335791160749734,
      0.45863451646116,
      0.371551365046595,
      0.343976803476025,
      0.420385093435068,
      0.631558420504931,
      0.282760726252879,
      0.502332085777049,
      0.684641137058643,
      0.390928919320437,
      0.399417587951718,
      0.581799942256795,
      0.271534579591533,
      0.523103706280742,
      0.374271579422055,
      0.591698543282009,
      0.496064038377614,
      0.530209984454923,
      0.373623405091764,
      0.318298974858712,
      0.52468443238223,
      0.488550344559427,
      0.583411180091314,
      0.329777275320524,
      0.384840849272467,
      0.459358703489257,
      0.373005589527262,
      0.610842240249989,
      0.743094947004422,
      0.366138048774781,
      0.401585833281042,
      0.388614492269722,
      0.414232417287392,
      0.520192534472136,
      0.661794035203255,
      0.238186028639111,
      0.236478940910825,
      0.416888944851082,
      0.401168521931363,
      0.500704012799678,
      0.486114827540978,
      0.351690494338722,
      0.246476695597068,
      0.378019489946782,
      0.572187741763282,
      0.46888942440885,
      0.242305777738004,
      0.364148333643591,
      0.350383297515357,
      0.61430487184108,
      0.840214915150017,
      0.680959145012043,
      0.459597611561309,
      0.456704723002138,
      0.621312350763492,
      0.501047878992514,
      0.502987709175083,
      0.394405230649765,
      0.11914162987404,
      0.17844048509866,
      0.192246977874843,
      0.482078806241594,
      0.422734167251299,
      0.42191311854332,
      0.370241238953676,
      0.447056334888221,
      0.489834849571319,
      0.544242608843207,
      0.550653870140674,
      0.397981605485497,
      0.216028762316077,
      0.323474510910256,
      0.44546783116133,
      0.295467053339537,
      0.332937232841342,
      0.231259576285747,
      0.247629849268543,
      0.367875325014456,
      0.238142789520143,
      0.293122426248681,
      0.326766239473271,
      0.270256470842392,
      0.341540622665435,
      0.335575106196643,
      0.347545064008118,
      0.339163848141755,
      0.35780264269868,
      0.253461678865735,
      0.416485063813225,
      0.487314648236009,
      0.500979600939873,
      0.437581496685222,
      0.441886134044395,
      0.428501231436843,
      0.462125740151158,
      0.389194323998488,
      0.612774290475408,
      0.765051185637618,
      0.36276441044135,
      0.62342662810901,
      0.531007799995942,
      0.489011548565991,
      0.375801349680625,
      0.589082688562189,
      0.246474933975368,
      0.318308740767545,
      0.450567482785555,
      0.413065919061567,
      0.496918469065752,
      0.342926529711437,
      0.399758531693964,
      0.23802855923654,
      0.530187725429754,
      0.385724057909357,
      0.37948161078128,
      0.251362402660971,
      0.409072899733621,
      0.517836357416815,
      0.442137909353071,
      0.737816478179038,
      0.578717825323825,
      0.421356614077808,
      0.652963525853149,
      0.789604531256605,
      0.595672637088764,
      0.545185489192238,
      0.510035389197653,
      0.144652470187941,
      0.314613153640634,
      0.624446345845148,
      0.397090843358821,
      0.480477872125457,
      0.486804260810375,
      0.526843805249394,
      0.667918103662062,
      0.535607868780658,
      0.557032675561229,
      0.483325111651335,
      0.300892794928876,
      0.321500067811319,
      0.454182138817442,
      0.48093782609254,
      0.676669164527504,
      0.485372954551646,
      0.452818706295729,
      0.423390625826296,
      0.400098599301227,
      0.856051332840274,
      0.556904164786495,
      0.472680025607317,
      0.292807581066457,
      0.37868220131719,
      0.647934709533006,
      0.469149275454269,
      0.390624120300514,
      0.354301645879493,
      0.555262081691976,
      0.456585072148253,
      0.40702023489601,
      0.530931454766076,
      0.304063696233639,
      0.235415285309411,
      0.37784130178162,
      0.586442279227265,
      0.546422301930272,
      0.708062548092864,
      0.686978794059544,
      0.53343926475286,
      0.731564846048914,
      0.750673466182398,
      0.799090542338645,
      0.654617203395101,
      0.551347637664868,
      0.561350097569195,
      0.332976629851628,
      0.506110284770745,
      0.400085269994978,
      0.476968727339118,
      0.595436423664411,
      0.467946166383437,
      0.444493551465725,
      0.455306570199712,
      0.242847544407508,
      0.338389545693348,
      0.828004921221262,
      0.415244335543122,
      0.726274141186003,
      0.378544623988896,
      0.665577308936628,
      0.719763495646141,
      0.442557065254436,
      0.306586894168944,
      0.663015293359352,
      0.113378852394874,
      0.483188506535192,
      0.722336408614418,
      0.663313007520245,
      0.810841050660745,
      0.495540094114096,
      0.866546547127366,
      0.624121671263672,
      0.628669605903643,
      0.420760155375142,
      0.800040484044923,
      0.380286222358379,
      0.75016104164599,
      0.55643082147178,
      0.798211773993203,
      0.545605494879117,
      0.794604319005088,
      0.52542570286254,
      0.77186902726481,
      0.531772995789828,
      0.194009415289951,
      0.306373485864588,
      0.629694306210021,
      0.119959284703637,
      0.433804989154107,
      0.796278849934176,
      0.706360305509743,
      0.89136208672839,
      0.519232382979679,
      0.886714697764122,
      0.496243393580233,
      0.652697462802239,
      0.419110137159958,
      0.672719221789636,
      0.694137200783008,
      0.644326652233771,
      0.814244008738297,
      0.926096862715296,
      0.938994336292084,
      0.97345517300878,
      0.998499071543164,
      1,
      1,
      1,
      1,
      0.998867951676629,
      0.830499465246804,
      0.448392055009574,
      0.33752686152941,
      0.335802662690193,
      0.434384215179869,
      0.328582717159116,
      0.547918918440655,
      0.931597967364573,
      0.452572036303744,
      0.68066160139224,
      0.942457741790669,
      0.391756993708397,
      0.871478568283765,
      0.475065731844725,
      0.353079692697514,
      0.51633471061928,
      0.466232797322642,
      0.29091845636881,
      0.288949724639281,
      0.418477449991486,
      0.391539104131729,
      0.284588417333921,
      0.324378441765601,
      0.440674012704536,
      0.539573429573252,
      0.303622742045624,
      0.609230505234234,
      0.900803669011266,
      0.446193491284657,
      0.722046601524748,
      0.803641009208254,
      0.238623992439817,
      0.840335818386488,
      0.978884218843901,
      0.535753176656322,
      1,
      0.753638616682193,
      0.475941100025873,
      0.591329620862177,
      0.497590655106005,
      0.530564348342482,
      0.470667195037613,
      0.362158194267094,
      0.317509098824165,
      0.358996569322582,
      0.887719029183551,
      0.475725634017257,
      0.938456272096767,
      1,
      0.747588918414265,
      0.415726561792622,
      0.473211363128037,
      0.469164813439106,
      0.332193975620069,
      0.402465873056582,
      0.692940257679436,
      0.4531445906126,
      0.685103729638624,
      0.412133349323765,
      0.254032053175524,
      0.332022391842368,
      0.396106269764669,
      0.545871142506865,
      0.536419775326382,
      0.513944321090923,
      0.687026846928673,
      0.512091336832547,
      0.29017791945304,
      0.527160232110021,
      0.448290673756176,
      0.946501317600872,
      1,
      0.898172539054136,
      0.490299251006334,
      0.416931854238708,
      0.426899295406103,
      0.35973683950278,
      0.896366115834682,
      0.451628072459863,
      0.612762015375987,
      0.620122429000598,
      0.642419800726682,
      0.368399411116653,
      0.421832317990812,
      0.80852187260133,
      0.638280665927669,
      0.491303381104845,
      0.43248480736059,
      0.576547294800716,
      0.683909277747192,
      0.821385119415095,
      1,
      0.515511025790257,
      0.525194405806744,
      0.513835054616422,
      0.831974182494385,
      0.909622039513042,
      0.406399329666136,
      0.777823751367621,
      0.940080862219448,
      0.35678843573275,
      0.555764455144763,
      0.364864664165847,
      0.293465322627831,
      0.235970944368816,
      0.43086962106833,
      0.295415356487066,
      0.460668677685276,
      0.556207227777416,
      0.396888942328554,
      0.352426752707375,
      0.340334437040147,
      0.238584080046613,
      0.30373144647213,
      0.497665491906551,
      0.393367838280984,
      0.45062515067562,
      0.301034947942493,
      0.866312454236257,
      0.958590610692054,
      0.395312788453816,
      0.517382255290956,
      0.428888731292,
      0.313734951915652,
      0.969390043908676,
      0.94451341502539,
      0.397045841011633,
      0.980003607197559,
      0.538927606805996,
      0.333508608045347,
      0.434522486137279,
      0.461147720891901,
      0.364394828668734,
      0.485503519984503,
      0.277894249237042,
      0.324160716810617,
      0.744914813376624,
      0.874637115991449,
      0.769537746007985,
      0.981999346731794,
      1,
      0.682086391819163,
      0.511779039394802,
      0.723442218011637,
      0.621119609451809,
      0.287468634235683,
      0.784476984447673,
      0.349542087657963,
      0.480072678685547,
      0.514976128842457,
      0.620077593099434,
      0.317836282479082,
      0.334214728060591,
      0.611432345797339,
      0.4259362615145,
      0.443938124407918,
      0.419760147494342,
      0.376227185063991,
      0.370475831078754,
      0.242849205189935,
      0.570634834625523,
      0.500827016127596,
      1,
      1,
      0.562728835254235,
      0.268829672380355,
      0.468079766161425,
      0.390491654403887,
      0.387550135296655,
      0.869346264871453,
      0.940618414253452,
      0.605326003144164,
      0.617051443201436,
      0.506224392701942,
      0.330360511479778,
      0.254971436467841,
      0.436482928167143,
      0.424472027830864,
      0.548034632089979,
      0.785796974998345,
      0.508808294954327,
      0.437724260984114,
      0.84073020230543,
      0.846140496261469,
      0.836947936365294,
      0.536661677972601,
      0.681539861349626,
      0.71920270684535,
      0.654511894638035,
      0.691166067014101,
      0.842317918891795,
      0.498564891617303,
      0.582560675099924,
      0.987683918007991,
      0.773183424428588,
      0.868706866012515,
      0.457520012270231,
      0.379609409156094,
      0.390060401723725,
      0.502394684030871,
      0.443615893490455,
      0.778942193072584,
      0.690682726675318,
      0.61181084062256,
      0.350326463674771,
      0.302888181023946,
      0.346315361103176,
      0.332795285483098,
      0.350521953220773,
      0.68559452393081,
      0.762899750490289,
      0.425825142721687,
      0.617121445161399,
      0.699707019491366,
      0.438708001832612,
      0.584856354525892,
      0.866874947633719,
      0.467499400236455,
      0.484605857379466,
      0.842107345167289,
      0.403886372287062,
      0.690676417746864,
      0.432871718178897,
      0.459719105587255,
      0.509936353747741,
      0.624600420706218,
      0.741234593719617,
      0.589663382146006,
      0.719515808995049,
      0.481741671288246,
      0.590840123918309,
      1,
      1,
      0.530815241724159,
      0.381981206993967,
      0.656449561983298,
      0.492543997586052,
      0.413943733382264,
      0.511405068045547,
      0.613022941057399,
      0.413418331737819,
      0.578341966215174,
      0.610032512117913,
      0.269408672705984,
      0.361863622665898,
      0.481951507256951,
      0.54504181153922,
      0.624979636613226,
      0.494740488990904,
      0.521358834218568,
      0.443595789068251,
      0.466958236036213,
      0.506926684688621,
      0.449443207965567,
      0.99583520797255,
      1,
      0.60196893981828,
      0.664185493176385,
      0.584505820507074,
      0.386901172374077,
      0.585712090236742,
      0.650964161863201,
      0.8102544583697,
      0.687087273568587,
      0.414294915113017,
      0.345657993487544,
      0.403313941970196,
      0.536134164802821,
      0.282790332140508,
      0.52696792368623,
      0.495376132246229,
      0.448881836772515,
      0.439281049981779,
      0.583780868833234,
      0.464964188028788,
      0.569676450156545,
      0.458081510604354,
      0.472124179990719,
      0.393188659335602,
      0.687757584344363,
      0.605229547702752,
      0.4141199174566,
      0.462481284957087,
      0.326125076652615,
      0.371042355687004,
      0.638501682401608,
      1,
      0.629175076972738,
      0.497604201332713,
      0.35145564993692,
      0.537680502809554,
      0.474507360247863,
      0.447615027807214,
      0.419389398495356,
      0.433415507206652,
      0.31248945099006,
      0.39384535503097,
      0.695252841463572,
      0.575594550435059,
      0.491958187834799,
      0.982796754895625,
      1,
      0.649567027406041,
      0.227128623868727,
      0.407248378486197,
      0.535382589868178,
      0.401282351223188,
      0.963844665774245,
      0.532466023489823,
      0.484498014007686,
      0.421037770715538,
      0.605926172985442,
      0.315034860081599,
      0.336103966113965,
      0.746098230216066,
      0.670044125773811,
      0.542611358426805,
      0.45572000812246,
      0.564604694395993,
      0.343073046137899,
      0.488403821743533,
      0.336745147007363,
      0.473298821750156,
      0.963555476404909,
      1,
      0.616314004859199,
      0.478354571630015,
      0.614896860028062,
      0.41365690508716,
      0.445827459757895,
      0.73179194577383,
      0.840322176444115,
      0.641472636015913,
      0.604377188226629,
      0.866905826602729,
      0.351051948783008,
      0.505866671410644,
      0.715719651302456,
      0.558207326944237,
      0.531200280913696,
      0.715482275964848,
      0.53701058690341,
      0.653112877792752,
      0.386706043613161,
      0.490016982067322,
      0.810051523843518,
      1,
      1,
      0.604918617700185,
      0.556559120091898,
      0.700061538712254,
      0.439449396099952,
      0.516702005040074,
      0.773708264428278,
      0.558777882196279,
      0.966260187292321,
      0.577637682738475,
      0.6841520327759,
      0.50428825358676,
      0.679588203375098,
      0.859787080598395,
      0.64282146608838,
      0.53297803342145,
      0.979143250548322,
      0.759276029019636,
      0.559824068013832,
      0.416558002596487,
      0.457809892077609,
      0.44795429236377,
      0.994700928603314,
      1,
      0.592587140075005,
      0.595539610379214,
      0.714553359895252,
      0.44219295463985,
      0.607621699536226,
      0.895499938829981,
      0.835648783494553,
      0.889387965117944,
      0.680180035834485,
      0.512041995066243,
      0.745533081539694,
      0.75096442854392,
      0.773379651334972,
      0.409802742381305,
      0.514758269587743,
      0.704376421713768,
      0.529923956194175,
      0.481710425425118,
      0.438310717730222,
      0.309731314643211,
      0.248020762512898,
      0.747913156241587,
      0.403826728599993,
      0.616612839682938,
      0.204072174665026,
      0.313105865819653,
      0.649405462877148,
      0.627015240261841,
      0.406392475788536,
      0.545068227550018,
      0.115635598640586,
      0.454742909897273,
      0.739117791451952,
      0.661520813545077,
      0.800888953097876,
      0.373288105573372,
      0.464792494482499,
      0.679419689612623,
      0.683774876506587,
      0.413155051373882,
      0.840113807194266,
      0.239815167281404,
      0.426847352917915,
      0.645516474162512,
      0.680795789837056,
      0.522759566704206,
      0.708419758374747,
      0.292552779933895,
      0.481934022522281,
      0.516773790118571,
      0.255524671431994,
      0.366315874816964,
      0.512378397711995,
      0.161858144395918,
      0.448666298522697,
      0.859561662583002,
      0.652321392878927,
      0.835129364288453,
      0.550198802320914,
      0.200478559442894,
      0.533454529326552,
      0.700285320670821,
      0.404145860026833,
      0.785578715115379,
      0.794409360409879,
      0.701053945775236,
      0.679448863815222,
      0.725117869745975,
      0.950835206779285,
      0.873996183535507,
      0.736204239544955,
      0.546669417786582,
      0.499681977134959,
      0.536713578694323,
      0.650466039105544,
      0.787374057769238,
      0.583528074076317,
      0.405012999974236,
      0.247265523204,
      0.226658923830224,
      0.381048406267721,
      0.287879078772935,
      0.369931543261155,
      0.829933770504527,
      0.53069604700575,
      0.706498799190594,
      0.853539369033102,
      0.583754583173163,
      0.579732052327077,
      0.484827706172196,
      0.374757159924321,
      0.514429490845935,
      0.454990592595968,
      0.342829178059681,
      0.34983541239831,
      0.339173630330404,
      0.482632581077457,
      0.266632714977346,
      0.372946293898139,
      0.444350734739122,
      0.488968934217646,
      0.28227886703199,
      0.380462044063624,
      0.511864714645824,
      0.331710190581554,
      0.361362178793628,
      0.79186490768631,
      0.31441601482551,
      0.630862259908197,
      0.692429445856488,
      0.577403026966021,
      0.522143898418975,
      0.471471079493536,
      0.442114778965295,
      0.484487363141517,
      0.381499978189683,
      0.422770913471348,
      0.327855621839843,
      0.284952558608161,
      0.291629277810803,
      0.361366901137469,
      0.680643418525083,
      0.392512589854809,
      0.354764945960427,
      0.374543518332727,
      0.867137338496703,
      0.342938440062531,
      0.55252154185616,
      0.417003818786201,
      0.305550093256093,
      0.295231664405084,
      0.628720561814328,
      0.393693041771296,
      0.640677440373291,
      0.532870589706363,
      0.225390248761924,
      0.277003204669662,
      0.271346919222217,
      0.438140992384297,
      0.504662362458655,
      0.29290427414625,
      0.461503939451125,
      0.468080527205069,
      0.215774690291872,
      0.508239829718445,
      0.378126524831698,
      0.52538224629197,
      0.37477391801859,
      0.727503741206344,
      0.499476448006446,
      0.483501191596759,
      0.32567294942649,
      0.189105446186443,
      0.773415279908198,
      0.347078548252578,
      0.693065350787564,
      0.577720271021147,
      0.510204103610894,
      0.194985186842681,
      0.283918051797889,
      0.490659284729985,
      0.633752103909297,
      0.549811977280322,
      0.512226852593792,
      0.707954994662183,
      0.648658644126825,
      0.729007042603911,
      0.408278264397662,
      0.538819663547428,
      0.377691529867623,
      0.290313760128479,
      0.416392185495815,
      0.525489168945665,
      0.274107211372214,
      0.461877538860693,
      0.846735149331521,
      0.470015188999489,
      0.422101603406649,
      0.365143446455794,
      0.407483337718343,
      0.27025028628403,
      0.508214421994123,
      0.280410144632374,
      0.405238618738365,
      0.696234122641371,
      0.36153512009083,
      0.498879492289864,
      0.294835012563042,
      0.257490650533702,
      0.304742192883673,
      0.555373769072353,
      0.356824943435068,
      0.434913501703452,
      0.262060973222744,
      0.547528158460088,
      0.337637193598261,
      0.201841457402795,
      0.425281919272826,
      0.469585564578921,
      0.348814343150303,
      0.615167759825314,
      0.683207936738701,
      0.358130397613115,
      0.489475213086618,
      0.372569455548212,
      0.442149292208171,
      0.349255054266296,
      0.304871944137233,
      0.255721390679027,
      0.301800046078713,
      0.211785031286507,
      0.207422607813643,
      0.688196475517628,
      0.663133427857495,
      0.734740746027831,
      0.419586173401754,
      0.412334223278024,
      0.732005142097017,
      0.521068861810488,
      0.576824263226669,
      0.333906383884713,
      0.308382445957992,
      0.753282572240066,
      0.486978150996388,
      0.660762565870589,
      0.634961634172923,
      0.672394439907361,
      0.239491140044002,
      0.229677972437269,
      0.298474193256785,
      0.365249300046448,
      0.400261243189106,
      0.330346947112212,
      0.357864865764635,
      0.319718176225939,
      0.270882894059848,
      0.536541730291092,
      0.382796523450608,
      0.298103218280774,
      0.409404472503745,
      0.655180308921134,
      0.266459490142191,
      0.54160067112213,
      0.368053357267054,
      0.312664448009527,
      0.707602303899574,
      0.490715139843341,
      0.355421816818393,
      0.646999466934431,
      0.411989032709785,
      0.249517510627731,
      0.215153032456013,
      0.312351927191385,
      0.280191483108872,
      0.474236898003198,
      0.604303839049201,
      0.424584689677981,
      0.433912822936357,
      0.625597453903527,
      0.519321111094151,
      0.452323430821452,
      0.483035770749364,
      0.386781845726345,
      0.558328047624636,
      0.459614216191049,
      0.50942751598939,
      0.633758215618268,
      0.496787060330366,
      0.606115278216347,
      0.722418839327313,
      0.707572721395895,
      0.532878439032072,
      0.582218957089108,
      0.452005017067168,
      0.425691835385075,
      0.456808914872927,
      0.430707046009972,
      0.533675727233756,
      0.585619169952752,
      0.503311803771336,
      0.321151177965313,
      0.325061242284977,
      0.349249067570436,
      0.397610583945797,
      0.397742183142441,
      0.484630673096525,
      0.366907553930476,
      0.263585677953369,
      0.547504737332444,
      0.647198929086126,
      0.611947497248257,
      0.619293792013165,
      0.667020617082935,
      0.436029593502343,
      0.465227196355697,
      0.588877940110936,
      0.532101430042477,
      0.582997781684462,
      0.409412113431693,
      0.347518693393834,
      0.582525222932576,
      0.571887799362569,
      0.593145605439964,
      0.469683467811771,
      0.578504382079481,
      0.410149465760069,
      0.474524183689247,
      0.413164896047944,
      0.40551469306037,
      0.602518509082753,
      0.311200093190282,
      0.501897278402591,
      0.318785842909828,
      0.335234794749145,
      0.369265014920967,
      0.449460638502274,
      0.361121354014941,
      0.5910874006655,
      0.729239315590221,
      0.198624757198207,
      0.285407937912018,
      0.343764754838351,
      0.370820976173079,
      0.488541458424228,
      0.436810138695871,
      0.446857034345697,
      0.330012810654637,
      0.305298107293595,
      0.517935153737788,
      0.428154945120711,
      0.525211536126834,
      0.507836518805199,
      0.600814515291299,
      0.504678420573799,
      0.642292904023404,
      0.37705761035543,
      0.430323887318998,
      0.626988151381687,
      0.614634379442472,
      0.651560674066753,
      0.509022858139955,
      0.418151981469557,
      0.0988879914552552,
      0.306942563669485,
      0.187871351865475,
      0.405329425753401,
      0.322318033178646,
      0.373581511103958,
      0.475694483900555,
      0.616183444148527,
      0.458567568562427,
      0.482523070250676,
      0.348336329868108,
      0.453884969590087,
      0.382190280183871,
      0.369270323984716,
      0.470570895832963,
      0.334078937970433,
      0.394076637269257,
      0.349631416580427,
      0.400260059452704,
      0.523039258151077,
      0.583477686501135,
      0.561984085746509,
      0.569916715254892,
      0.322956509673087,
      0.376207128714809,
      0.368421808060351,
      0.349652091749342,
      0.297963186299888,
      0.505103162412051,
      0.375965433392954,
      0.386845065899526,
      0.655302478704043,
      0.584024794498192,
      0.357635575370674,
      0.535060547680751,
      0.447289596398871,
      0.533304273026651,
      0.263311429157181,
      0.447313055290446,
      0.446981954967487,
      0.284622248543505,
      0.764947892955767,
      0.514510318113998,
      0.577023314316805,
      0.453751234587849,
      0.612443689780876,
      0.220637560413268,
      0.296428310960562,
      0.522205735038513,
      0.552235628664858,
      0.462182324074883,
      0.470598059798282,
      0.446263463490812,
      0.370172589825597,
      0.558064617706325,
      0.350359667770118,
      0.382588249496895,
      0.476481724999011,
      0.432571776148665,
      0.531424362747183,
      0.308112938272378,
      0.5919058800892,
      0.464083903179612,
      0.357913374795676,
      0.625319117583657,
      0.657503723995506,
      0.608822744138158,
      0.543680659344866,
      0.661241313472644,
      0.366940391743566,
      0.530378419865486,
      0.547284837428015,
      0.610611307365079,
      0.574175059133696,
      0.554827013485301,
      0.518226082998683,
      0.631716981202126,
      0.390759775843504,
      0.459278393576216,
      0.487222394621923,
      0.370287444461293,
      0.450288033707932,
      0.747324992786738,
      0.456528460983269,
      0.640355207022333,
      0.516749597314185,
      0.445314351474472,
      0.539760998800937,
      0.48489510521915,
      0.547443920443186,
      0.309569131184426,
      0.429708832574399,
      0.286608903702777,
      0.347279386775669,
      0.530629782539612,
      0.493382512684949,
      0.525060426352191,
      0.694516562879765,
      0.605425343464276,
      0.458295958484758,
      0.419796861179885,
      0.447167783437441,
      0.468444325238862,
      0.64376318026597,
      0.451493790492846,
      0.758279933096655,
      0.454219572137389,
      0.688938179882089,
      0.515791170638201,
      0.497243781841378,
      0.789837033802105,
      0.783721043354447,
      0.815032502631201,
      0.678118534744643,
      0.520612622027905,
      0.505450746986044,
      0.462166824056663,
      0.639007717509688,
      0.441474551440665,
      0.530553912366765,
      0.669408904451107,
      0.706391429793755,
      0.508620187602712,
      0.55861058266331,
      0.280508087092396,
      0.263638100540051,
      0.6733739310986,
      0.438503429280588,
      0.698429653495473,
      0.250090868267843,
      0.267980079102385,
      0.678703641498707,
      0.600508724961608,
      0.471419850488701,
      0.545841058648964,
      0.140906069956602,
      0.45832600962858,
      0.742105665595948,
      0.732079275332076,
      0.767991145589069,
      0.383406278025477,
      0.13827649506916,
      0.68292857191839,
      0.761083794464889,
      0.227061149192216,
      0.807589566604185,
      0.208198312508282,
      0.175247696730164,
      0.674731789483596,
      0.697191479473812,
      0.526949498144525,
      0.705193490667636,
      0.281068775495684,
      0.389699423907537,
      0.554535915341883,
      0.265659502357552,
      0.515350359556654,
      0.547263016208669,
      0.126451191612244,
      0.44091858113505,
      0.920836333225731,
      0.716528427613565,
      0.822124148732725,
      0.565746408316344,
      0.12285986424696,
      0.593102739802462,
      0.773286190971753,
      0.464847377847264,
      0.936130643757485,
      0.984709730600963,
      0.935680025283257,
      0.7010209407623,
      0.835325512666962,
      0.821721533275029,
      0.782771110081651,
      0.611444724737965,
      0.492943298556326,
      0.421326622550799,
      0.525624170953584,
      0.48727779570455,
      0.51909277196527,
      0.571170602488807,
      0.441353307367915,
      0.267555923235935,
      0.471752663197262,
      0.60484437488621,
      0.440052942496563,
      0.236637597364154,
      0.599266340964458,
      0.976308529667108,
      0.744303856337925,
      0.554078722621665,
      0.994963327512056,
      0.807994241302611,
      0.595872257966332,
      0.400462351732603,
      0.557720557731026,
      0.49045094523088,
      0.582578941269226,
      0.654992004261845,
      1,
      0.644370676478245,
      0.413758073524328,
      0.470749175885325,
      0.55049512492239,
      0.753558365113172,
      0.32105523372639,
      0.387616661775295,
      0.281099736722899,
      0.244908981116466,
      0.22806845590341,
      0.751177045948036,
      1,
      0.589331676849354,
      0.605521249196541,
      0.993550413380271,
      0.361439643629639,
      0.953151202403591,
      1,
      0.957296645981891,
      0.513291659851901,
      0.309442135377348,
      0.402689915192111,
      0.332401066129394,
      0.731368097433193,
      0.944897121558965,
      0.652852354547013,
      0.523383179426396,
      0.326980665995862,
      0.364078943345208,
      0.929998483818413,
      0.417960599599742,
      0.599862428248424,
      0.488142005354062,
      0.314386059576762,
      0.384179366814234,
      0.363071021446755,
      0.430531170935501,
      0.85740020272248,
      0.795879410404893,
      0.272952453897606,
      0.347519568249705,
      0.310105603360779,
      0.491465087244922,
      0.408591874092157,
      0.549456811851373,
      0.856470844617053,
      0.533754045753249,
      0.375824871640875,
      0.716279146342937,
      0.431693577398759,
      0.365221620831245,
      0.325283937005861,
      0.761947207233609,
      0.444753242620776,
      0.587962861719806,
      0.633482261254125,
      0.200313433857848,
      0.514132059516017,
      0.386346805560839,
      0.922329512981958,
      0.635317366192125,
      0.820408266823108,
      0.233817867933954,
      0.302548158276046,
      0.253018893932538,
      0.666513675275746,
      0.610345916965066,
      0.584586069606547,
      1,
      0.728306799634909,
      0.796793704885049,
      0.299587494144926,
      0.836202910491381,
      0.404937930861461,
      0.297373864523668,
      0.296490655722617,
      0.312227100934082,
      0.215113649355081,
      0.250152099428851,
      0.676950825262543,
      1,
      0.656845266861808,
      1,
      0.82982190530856,
      0.344101223585822,
      0.608864289513836,
      0.43532512130156,
      0.627212984063112,
      0.610414236860484,
      0.597677660574846,
      0.781573765075231,
      1,
      0.529674758574316,
      0.413711828809211,
      0.592356824618672,
      0.338249268817704,
      0.552636181407709,
      0.340530996093401,
      0.580739759594834,
      0.356296571436944,
      0.280702924156399,
      0.39756853725443,
      0.919944223058283,
      1,
      0.50327515696183,
      0.594564987620735,
      1,
      0.519432293023041,
      0.971552095404479,
      1,
      0.75320250641736,
      0.455410270140033,
      0.575163927207867,
      0.450627559007497,
      0.308702798458548,
      0.24373145804673,
      0.475137944492429,
      0.737163552217942,
      0.670775340885708,
      0.251079603575567,
      0.320152750038457,
      0.995330257720075,
      0.5215142405964,
      0.686562317225939,
      0.381833653682886,
      0.394134251574274,
      0.799651429278861,
      0.644214742985872,
      0.907597744325773,
      0.878930691672801,
      0.822684032488701,
      0.260682349143898,
      0.307923374104568,
      0.276233435614817,
      0.342858514540262,
      0.526455867726306,
      0.71533165239026,
      0.974689935484429,
      0.463762516209652,
      0.342816360485647,
      0.605231435716683,
      0.364955972640731,
      0.206645261620993,
      0.316020938983927,
      0.949152390359201,
      0.534535412025713,
      0.535769705091398,
      0.431104277641599,
      0.283768027325101,
      0.742620300594389,
      0.597771444874569,
      0.539877393399667,
      0.890455126563636,
      0.608119304357565,
      0.217377088523399,
      0.196838171871987,
      0.499372902776835,
      0.590375946624007,
      0.373737967414228,
      0.506934550742248,
      0.98496062467039,
      0.590133316625897,
      0.732473452620945,
      0.605845217857283,
      0.520992194260907,
      0.549558891980872,
      0.384020820778492,
      0.469747492802781,
      0.643015241637398,
      0.453121494667169,
      0.692406065773244,
      1,
      0.990328129986358,
      0.448517327096746,
      0.72401106524318,
      0.738950025569618,
      0.686766066873978,
      0.603102027237735,
      0.600843245427644,
      0.679647492060887,
      0.515811561697978,
      0.753130485531199,
      0.808872953338153,
      0.96676443344885,
      0.408952693739306,
      0.339077269996163,
      0.40724425920971,
      0.516092184878573,
      0.497210157138742,
      0.468272655305525,
      0.429059432504163,
      0.294338612664425,
      0.684977245856637,
      0.676499880121149,
      0.995040177207061,
      0.80057286853202,
      0.719035308767529,
      0.606739290919715,
      0.926394654245012,
      0.624239425738403,
      1,
      1,
      0.829708429602147,
      0.502059323234172,
      0.554306701509576,
      0.556606714240582,
      0.675665008540199,
      0.988704868371827,
      0.995362989472037,
      0.741280807471957,
      0.841343897276921,
      0.329284995031908,
      0.48143734695807,
      0.969758168765082,
      0.550829776796123,
      0.699768985518518,
      0.390965264794345,
      0.342792822820894,
      0.359507811393279,
      0.378370432271885,
      0.479282631029262,
      0.804030998983581,
      0.775684313505812,
      0.23587834810704,
      0.306960806572276,
      0.340347652171869,
      0.413281473500784,
      0.571523826480459,
      0.867467105159728,
      0.991144545605186,
      0.530385442642027,
      0.620392485288871,
      0.741745082489806,
      0.512468546148857,
      0.371622300648978,
      0.492854692817592,
      0.874225848022791,
      0.770390536830756,
      0.624248848481954,
      0.437323372922523,
      0.302173546196476,
      0.726039237806222,
      0.651828447755577,
      0.990489612004165,
      0.844084968960656,
      0.839684099669466,
      0.114847564115839,
      0.19423934205741,
      0.284422262483394,
      0.47723377610028,
      0.299099132040622,
      0.792655528642055,
      1,
      1,
      0.879931932808876,
      0.60008051511092,
      0.442255237995598,
      0.433682667334193,
      0.415460746774855,
      0.341982362426134,
      0.587118779141371,
      0.338714270147035,
      0.570762933085489,
      1,
      1,
      0.93420077054683,
      0.286458084034486,
      0.502202811453042,
      0.703917392760298,
      0.415060560186912,
      0.3834384358903,
      0.414667566898064,
      0.451632140305645,
      0.427822007047951,
      0.792764738240749,
      0.99767861356287,
      0.899467588373813,
      0.744845014775491,
      0.89157194992828,
      0.5022988582119,
      0.471135078708896,
      0.500639985439857,
      0.928993057868718,
      0.424286284763376,
      0.707249254125343,
      0.702698355458555,
      0.364937204384262,
      0.541517905844484,
      0.526670973484644,
      0.962327746136476,
      1,
      0.815282959166564,
      0.238769463529323,
      0.272200162867422,
      0.592706263592533,
      0.451952593355803,
      0.479200583725339,
      0.879936665042201,
      0.989562081200791,
      0.667101148549693,
      0.854284181137651,
      0.497176650251278,
      0.54137632293653,
      0.490467570059339,
      0.479801977094568,
      0.91107872567123,
      0.426587824344211,
      0.737738921170841,
      0.376119665378861,
      0.428544110142913,
      0.769517212905449,
      0.874207234334514,
      0.939963452887978,
      0.952199561063744,
      0.552588624751931,
      0.352767671083527,
      0.302040979525756,
      0.706251156475155,
      0.57949715828521,
      0.533322902261994,
      0.431637897360556,
      0.744611605614645,
      0.797894591283607,
      0.531985959794204,
      0.646106796651656,
      0.686616860238206,
      0.325229573733924,
      0.383830376748711,
      0.982608758567778,
      0.870999751014951,
      0.646562957214001,
      0.565421052204278,
      0.872303138244874,
      0.950142128484749,
      0.938951909489301,
      0.556742973631188,
      0.454119393625941,
      0.558646900529339,
      0.274648005679715,
      0.34693762464746,
      0.533488772017795,
      0.520760927831313,
      0.560031361255478,
      0.70413261334777,
      0.998414207527169,
      0.671513192790771,
      0.539450549299516,
      0.627092435047356,
      0.570971511373932,
      0.426932594349227,
      0.368851751848744,
      0.990500749514526,
      0.466956753297543,
      0.859223009223054,
      0.75139316459514,
      0.693044160495881,
      0.949776230207478,
      0.80316312028894,
      0.876858837624744,
      0.928211296149265,
      0.930401900942109,
      0.805199351306101,
      0.441010322697595,
      0.55953377846011,
      0.461580924971567,
      0.512897911898311,
      0.699977092493315,
      1,
      0.88389428894195,
      0.7588392103372,
      0.348025755885381,
      0.234800079236116,
      0.601874706801487,
      0.29697949726363,
      0.482650676471329,
      0.199904616206417,
      0.224910371995261,
      0.497775737008769,
      0.371487857707227,
      0.338339937625635,
      0.435959893321959,
      0.145245930609208,
      0.388867559599139,
      0.685730278269181,
      0.627115957634443,
      0.680373747793951,
      0.295197810640255,
      0.120187483504152,
      0.536935816216374,
      0.559251050414312,
      0.171307057593298,
      0.684603839474874,
      0.212471310856505,
      0.187841930418106,
      0.542160319104064,
      0.449329542864237,
      0.440042642943252,
      0.546850585030088,
      0.295228652588572,
      0.32403463303397,
      0.459876669927595,
      0.19128336965028,
      0.356100874905282,
      0.418410714452275,
      0.121618478134006,
      0.404765029010767,
      0.747191568733026,
      0.603732634510966,
      0.756534322069923,
      0.472819095046673,
      0.17796317369107,
      0.44672148661587,
      0.704139467363718,
      0.474301129368879,
      0.818434022261592,
      0.680282879655662,
      0.777687780653739,
      0.846123282098364,
      0.702512200957584,
      0.738326475430231,
      0.625434633469021,
      0.457159271778766,
      0.402624793302021,
      0.329082962312281,
      0.421895909021761,
      0.518420076284899,
      0.573531792336217,
      0.706757262351695,
      0.433962829850535,
      0.38771740255122,
      0.383409769917522,
      0.58458605261605,
      0.278225204243916,
      0.285144812361867,
      0.315203105634062,
      0.263652894300602,
      0.343156080614587,
      0.416816931246604,
      0.358541604495484,
      0.60873621630408,
      0.45910325853139,
      0.379390227135863,
      0.525826375390784,
      0.335684110110249,
      0.362840170334229,
      0.346421659368838,
      0.353670302766836,
      0.697620789467767,
      0.324023107898533,
      0.394797903743284,
      0.409531921132565,
      0.737262067037545,
      0.46569357551452,
      0.589547336557947,
      0.248163217460648,
      0.237512332609983,
      0.250950591458474,
      0.455536119450258,
      0.383339502547049,
      0.416584981866436,
      0.4188125876115,
      0.501627047085445,
      0.270220108753041,
      0.497433407847245,
      0.645817060785951,
      0.833858860227724,
      0.480299202728965,
      0.533108561951729,
      0.426413950953723,
      0.237771994671012,
      0.338861215660672,
      0.625396505806885,
      0.748764921664463,
      0.453440277020237,
      0.182961671862929,
      0.320917034109128,
      0.89502112253817,
      0.663000203311231,
      0.523993543178912,
      0.461514064906114,
      0.288082843884328,
      0.250755867636334,
      0.253715440257343,
      0.421267673923553,
      0.593361386250162,
      0.438219864474358,
      0.192699418955524,
      0.298170920918827,
      0.342683172275392,
      0.480558539596425,
      0.597989793437782,
      0.591124323864635,
      0.701840495924038,
      0.692162871812935,
      0.276733404469874,
      0.435748037592845,
      0.339569183260065,
      0.312188845825372,
      0.285663758721979,
      0.671364610889276,
      0.834418721633833,
      0.466297303399183,
      0.415856449584012,
      0.191981371639063,
      0.577975184210957,
      0.515351478650029,
      0.608636100083552,
      0.430144478254482,
      0.377203789266173,
      0.193422342811189,
      0.253636318161094,
      0.155902991752917,
      0.86081568878966,
      0.589455881859735,
      0.299160112370844,
      0.530139734461912,
      0.99221649037535,
      0.704893416142951,
      0.263462260902544,
      0.653652434192162,
      0.614254727355602,
      0.220741384645336,
      0.288760135561037,
      0.192294850035279,
      0.192448507049675,
      0.264920554062532,
      0.34454199566429,
      0.472524186894649,
      0.617615353969208,
      0.496383083162626,
      0.56858650659349,
      0.417444030017122,
      0.481394598248256,
      0.298638638711766,
      0.530246439120606,
      0.474720406889591,
      0.417451248691019,
      0.334763522653109,
      0.315130433270451,
      0.489014496304007,
      0.348934511164049,
      0.523510648004477,
      0.229302447301246,
      0.401356056596501,
      0.288883310219638,
      0.444301523291471,
      0.353631578444239,
      0.181746016638561,
      0.41528753005066,
      0.38018388859215,
      0.374374808881621,
      0.388695274008525,
      0.367765473022346,
      0.374682752942625,
      0.327483475007442,
      0.373973810524518,
      0.397603554119712,
      0.555823381432026,
      0.409567606650675,
      0.462154193252057,
      0.346195302427568,
      0.186419123548952,
      0.24416653025057,
      0.541317411707186,
      0.525332990511,
      0.764575875293199,
      0.25623895254298,
      0.27904260310557,
      0.747837556663019,
      0.817067615622324,
      0.745444383768779,
      0.441041452113742,
      0.29122026923733,
      0.426679246090334,
      0.453406480203953,
      0.439708545009843,
      0.508883104798027,
      0.366847923983609,
      0.214096860121021,
      0.27231005131067,
      0.394338173174168,
      0.343403560263263,
      0.538775904094366,
      0.434658158172355,
      0.686964798646059,
      0.577386527996703,
      0.323721220911995,
      0.601616915071455,
      0.334214336280524,
      0.151715299197954,
      0.279718987861936,
      0.761329563424393,
      0.769986357928855,
      0.555806677777167,
      0.474848289476756,
      0.243795310599958,
      0.493658324191173,
      0.46959288279382,
      0.403798901429741,
      0.521769859871877,
      0.329437676159246,
      0.224538894161608,
      0.248166676431531,
      0.671712486348628,
      0.840115203405575,
      0.428641170976074,
      0.343976010092188,
      0.564791750400769,
      0.556120968116727,
      0.610551140712818,
      0.414910603003185,
      0.449530479559118,
      0.368786012582406,
      0.343564068160268,
      0.590457029782701,
      0.602250791646606,
      0.48794093935632,
      0.493269822047837,
      0.328949185733631,
      0.576454665923883,
      0.310680781563296,
      0.327542806076083,
      0.389480663621702,
      0.672829723097387,
      0.643848303391887,
      0.636888615848272,
      0.428355250422013,
      0.497760042955171,
      0.671716628590453,
      0.376892235640903,
      0.61656263931894,
      0.508848839528727,
      0.368207735596743,
      0.498080674011188,
      0.502614138525675,
      0.603352955811277,
      0.513341496102281,
      0.573608503689778,
      0.411789684064529,
      0.618787607715534,
      0.714850967922449,
      0.39422040658042,
      0.569474704457737,
      0.559777888323062,
      0.608139173822172,
      0.484801816647717,
      0.364187965663308,
      0.227328487479861,
      0.400190892002229,
      0.516176086303915,
      0.594193326548053,
      0.552207469945019,
      0.608615228519245,
      0.444791008860052,
      0.535412066943516,
      0.508369103194192,
      0.620263981607061,
      0.810749894135534,
      0.26105076987701,
      0.401986539129291,
      0.72424066540647,
      0.507081027525122,
      0.638043895466729,
      0.360832979940773,
      0.305554169783867,
      0.309720816864116,
      0.300446924198482,
      0.574704675049412,
      0.423668063380557,
      0.398316947313866,
      0.171541577271106,
      0.24631623141469,
      0.323146585349681,
      0.385514033694039,
      0.496847504468179,
      0.56603437094124,
      0.531281423327256,
      0.722969866196415,
      0.405035598643409,
      0.458538093048158,
      0.434303677774247,
      0.295244925525859,
      0.434882949427681,
      0.729928271187832,
      0.803772686035682,
      0.616508626234163,
      0.536975926579509,
      0.295391177085111,
      0.644248018068729,
      0.642913502305435,
      0.594871334996955,
      0.571415310200204,
      0.376504851285291,
      0.0870788522682371,
      0.255698071578797,
      0.465236053284795,
      0.566712410864282,
      0.425313254772063,
      0.66859103736402,
      0.389806455757079,
      0.51136329738681,
      0.48299376946764,
      0.527768576035229,
      0.385026545007171,
      0.381611350897836,
      0.344686320304947,
      0.268818745692331,
      0.941560332134099,
      0.628426998719901,
      0.756632722847501,
      0.416137597673799,
      0.442504626932893,
      0.477373744621356,
      0.263066462317493,
      0.460264780445431,
      0.3769848826554,
      0.419533367987042,
      0.379046371184238,
      0.476129066511862,
      0.635093677333401,
      0.586989388660042,
      0.617440835312095,
      0.667991039621194,
      0.877826037594051,
      0.504443501071738,
      0.777584088120293,
      0.470627088386339,
      0.406745897352581,
      0.460501787193593,
      0.783079458757534,
      0.653451396680841,
      0.593329665524134,
      0.496449623812994,
      0.288613653220206,
      0.571296464807694,
      0.805291054983047,
      0.502298690580894,
      0.518201900051916,
      0.554672917503425,
      0.238366671282311,
      0.380331095666694,
      0.673672585761912,
      0.5282448048611,
      0.475116797659318,
      0.508862229345655,
      0.809256702328362,
      0.631824923228417,
      0.521965441125609,
      0.569438201298581,
      0.447398606382306,
      0.322337236051078,
      0.459131087831028,
      0.848177919729329,
      0.528026633838367,
      0.687971784817041,
      0.370955933093592,
      0.515954223662349,
      0.615941991845186,
      0.781857722385581,
      0.723236748419261,
      0.664971842597747,
      0.57088163087237,
      0.282902445673193,
      0.293840519019097,
      0.639031606502976,
      0.573546726374253,
      0.641950061818142,
      0.365829996600151,
      0.750961641943667,
      0.699286905858936,
      0.88960928292113,
      0.988735413118822,
      0.696746703012716,
      0.251331894608807,
      0.416307833011027,
      0.610218231433942,
      0.730545538203989,
      0.784089484533478,
      0.650012885904389,
      0.40103620435897,
      0.399576808840579,
      0.406280590689723,
      0.51290254229271,
      0.373438381754385,
      0.419120238743039,
      0.279778264279548,
      0.409000895161611,
      0.653226900858818,
      0.553998093792493,
      0.626487797377045,
      0.547190261467749,
      0.796711391137191,
      0.577266033483954,
      0.590497277919566,
      0.578862824684003,
      0.841780423823035,
      0.313959138557352,
      0.337217446046442,
      0.823967332556981,
      0.764962301138674,
      0.727530851229619,
      0.458476908663758,
      0.729165750224089,
      0.75236219536179,
      0.591567786481971,
      0.626803123605722,
      0.876517251116841,
      0.738625200919892,
      0.520076102361663,
      0.397942851634887,
      0.626323102190521,
      0.796833994947649,
      0.48211611560836,
      0.503885620373508,
      0.64469301002493,
      0.571233245487823,
      0.599084268905484,
      0.5723975066807,
      0.235357436248941,
      0.537260183273204,
      0.249378212132178,
      0.576408376146445,
      0.232702041031941,
      0.260503791541911,
      0.587591625322633,
      0.505173793468086,
      0.273096956321741,
      0.527873034566434,
      0.253779435560596,
      0.622029439905568,
      0.874964704198193,
      0.678703750754685,
      0.676675448348171,
      0.405356386916032,
      0.180841526772608,
      0.598777104295686,
      0.656178439415336,
      0.352353193671527,
      0.737261962291835,
      0.234178736821089,
      0.204257398296113,
      0.654984642921165,
      0.515851132302216,
      0.571486197008134,
      0.71563104917918,
      0.334407612659475,
      0.320043392650109,
      0.529609087430625,
      0.19510370916825,
      0.251807583675718,
      0.557611220863836,
      0.297025685015766,
      0.616575283475144,
      0.948174291771296,
      0.838726358167342,
      0.943062581238913,
      0.594060826961451,
      0.219848627841404,
      0.500333484142296,
      0.969478071791715,
      0.619200118521317,
      0.814274132082464,
      0.772489702710279,
      0.738321815779524,
      0.751049435015462,
      0.80540907571096,
      0.772560307809287,
      0.632174858015103,
      0.37913168579942,
      0.371843451085026,
      0.339591415561825,
      0.324060980203582,
      0.401038824913275,
      0.459386695258541,
      0.761852456123391,
      0.375167721622999,
      0.634177737445186,
      0.695797109933061,
      0.87895685913617,
      0.532953395734987,
      0.502953017642758,
      0.32515215827367,
      0.240934394689197,
      0.300538234587815,
      0.418777097291011,
      0.327143329816235,
      0.586590332835647,
      0.479518635572599,
      0.314847364691279,
      0.580562103600123,
      0.385601071825115,
      0.447959228530085,
      0.363773136105043,
      0.338124100297851,
      0.947440025752934,
      0.748335607599318,
      0.4514040200762,
      0.396760286815979,
      0.579264875597698,
      0.64800314442883,
      0.586281878585722,
      0.433820158542181,
      0.386162734367998,
      0.469076985535679,
      0.515548533521838,
      0.229019750019758,
      0.267154001053376,
      0.373474288917441,
      0.413922728389478,
      0.220061325187905,
      0.261199622165809,
      0.300083492304948,
      0.456029731224405,
      1,
      1,
      0.885937289972411,
      0.294629876265444,
      0.301044726630929,
      0.455881624750624,
      0.38509447424706,
      0.329531909129218,
      0.266515472325375,
      0.268584397101306,
      0.510910372483992,
      0.889326904897604,
      0.89198187731401,
      0.394219707697213,
      0.346176547530152,
      0.369293728842076,
      0.351242106839628,
      0.607108424590154,
      0.625528795549326,
      0.611761964412366,
      0.295260893093016,
      0.407251455980277,
      0.315729455977238,
      0.978369276073541,
      0.993621063729688,
      0.864123294303786,
      0.490521583072989,
      0.906240872927542,
      0.362502239262435,
      0.383518702177484,
      0.314007604778569,
      0.323366038560701,
      0.304305945447896,
      0.566650323531868,
      0.811351229115509,
      0.935407645659427,
      0.480332304827614,
      0.277882500342064,
      0.620232949772282,
      0.940018559596248,
      0.732007695533977,
      0.647970674921338,
      0.537338613922018,
      0.335272257473756,
      0.398729408112127,
      0.280265636732202,
      0.847069334759695,
      0.701208990550782,
      0.370609840071691,
      0.411159410779513,
      0.633231116957246,
      0.38490192811481,
      0.221714507684349,
      0.515402152040756,
      0.753290549753806,
      0.329576236063228,
      0.467927956899698,
      0.339782945443313,
      0.27628570578192,
      0.580840730857997,
      0.417576568963952,
      0.297926773457759,
      0.717298328290044,
      0.412128490481578,
      0.636854972761541,
      0.56857320925303,
      0.692108008370689,
      0.366643472868602,
      0.505159125493508,
      0.618869655683672,
      0.565372433516961,
      0.398119482624714,
      0.280969348517156,
      0.988645199541745,
      0.662426943094436,
      0.452901865063065,
      0.339901805632888,
      0.610405724485636,
      0.413437246161008,
      0.657904945820684,
      0.498833539394997,
      0.336259125957895,
      0.756356482472567,
      0.318016329238834,
      0.215122915542634,
      0.33491307442992,
      0.264077562823736,
      0.20025413442386,
      0.24132598086332,
      0.43999296824238,
      0.338811384251722,
      0.914524015725926,
      1,
      0.999823866068731,
      0.821033185210029,
      0.302294303141285,
      0.336383535708447,
      0.620289360625654,
      0.449362340437934,
      0.579829967943077,
      0.254862858071634,
      0.262447125948938,
      0.492408173664795,
      0.963939486221918,
      0.968039913375334,
      0.648468538627237,
      0.428803211098489,
      0.526133103608795,
      0.897285969918687,
      0.567742191317589,
      0.517484047823758,
      0.672081940165312,
      0.31018718021367,
      0.406283823876095,
      0.56582679184183,
      1,
      0.965065166881514,
      0.327298292704956,
      0.502109082714576,
      0.776387098619955,
      0.344863058359981,
      0.571371629674957,
      0.388141634094575,
      0.190738409374895,
      0.355230556798066,
      0.600545467658897,
      0.974793492890772,
      0.845260479499383,
      0.464195753906829,
      0.391346756392184,
      0.710390856803999,
      0.553345238791412,
      0.521277880256087,
      0.563572965729806,
      0.469242133869799,
      0.245201235286499,
      0.323145613709963,
      0.487786446807788,
      0.839059760963345,
      0.519603946785864,
      0.748303748817731,
      0.518645176290484,
      1,
      0.544837055187993,
      0.300731609296249,
      0.505654311502376,
      0.439626465035594,
      0.552831902368971,
      0.927673099831772,
      0.901494877251903,
      0.94814520462319,
      0.777255312400548,
      0.315636794204544,
      0.431244139585504,
      0.291042915303454,
      0.356019640105576,
      0.400202138403564,
      0.574800630340127,
      0.607552287967496,
      0.732540186889921,
      0.596874763601781,
      0.514916462955995,
      0.662931898050114,
      0.346457342780833,
      0.586947908641183,
      1,
      0.455318351540094,
      0.408803089243059,
      0.482509857690258,
      0.567299374902808,
      0.652469007045689,
      0.827064018967191,
      0.895068838700656,
      0.84809970832093,
      0.956025050950671,
      0.305542787750121,
      0.53301347144494,
      0.888846616268715,
      0.999369652493244,
      0.542306097528998,
      0.41316229167569,
      0.354446213511674,
      0.331007298360108,
      0.568515445381492,
      0.997668128474377,
      1,
      0.976240880408928,
      0.740291971389464,
      0.579396117593378,
      0.558035326080424,
      0.699550038828554,
      0.738159175636546,
      0.267285547296539,
      0.387220571269312,
      0.464598099839309,
      0.97458639668041,
      0.88472556416777,
      0.402891103517958,
      0.332786849688844,
      0.385856687886828,
      0.454245353480187,
      0.697037542625234,
      0.379154060622845,
      0.578922068030903,
      0.286240811568826,
      0.454214294478413,
      0.547109668341559,
      1,
      1,
      0.770351354759285,
      0.461975232160143,
      0.81876791185368,
      0.410213662804281,
      0.563038743014733,
      0.453924139165482,
      0.25285533546926,
      0.443672266329075,
      0.546378584245537,
      0.913799427749044,
      0.739619049871317,
      0.361595938346678,
      0.228047924013092,
      0.81919771230888,
      0.899479521263393,
      0.72889968577862,
      0.458563553639848,
      0.421944840827898,
      0.207036452947789,
      0.650505281519234,
      0.61107897379807,
      1,
      1,
      0.728702974853442,
      0.302219221405132,
      0.475014487766036,
      0.514072719125616,
      0.492115436424958,
      0.309643092695443,
      0.402522807373126,
      0.432701709155285,
      0.480478411324022,
      0.762422848695066,
      0.995798260683406,
      0.989628855116145,
      0.315230544530128,
      0.219746425765155,
      0.363054694103465,
      0.234403260781148,
      0.502622149628145,
      0.374820337629415,
      0.487284206797112,
      0.471966756041963,
      0.628328856575547,
      1,
      0.997036943860028,
      0.731193336669633,
      0.410573537526802,
      0.531022030693542,
      0.508963233927953,
      0.686126265267525,
      0.576348502705321,
      0.449812480839469,
      0.70674505674295,
      0.623053574277061,
      0.920584908874287,
      0.839948272172106,
      0.623296088463981,
      0.257214447640643,
      0.620470568247679,
      0.926767038038836,
      0.518024524667201,
      0.269692454347992,
      0.676177757338037,
      0.351911899318881,
      0.586162157892141,
      0.559261748323912,
      1,
      0.725271654857475,
      0.437713624098062,
      0.736557647881626,
      0.400006238704789,
      0.590946536712719,
      0.670235973238074,
      0.527177596871384,
      0.223393160373647,
      0.400824364004113,
      0.727056229894478,
      0.994476238536351,
      0.879136171619359,
      0.322606090419868,
      0.538889265889751,
      0.844707135606809,
      0.936127717176941,
      0.826561630118624,
      0.436518399620229,
      0.565529745361221,
      0.350177023219113,
      0.520419722977666,
      0.691722348802442,
      0.916686177736528,
      0.924512066094578,
      0.435030256133332,
      0.856975837910018,
      0.744473938202431,
      0.764241900714563,
      0.661732149805201,
      0.482244321484132,
      0.257648072838462,
      0.375701979099866,
      0.439272020568816,
      0.84616736822301,
      0.808746931148271,
      0.569048661079391,
      0.489647098713439,
      0.353340918676364,
      0.244187532029185,
      0.483735754693314,
      0.245688314591642,
      0.532643720271189,
      0.439104465907428,
      0.449412490272659,
      0.760120591849691,
      0.951416302158505,
      0.920328760114528,
      0.376961626579646,
      0.56111368451933,
      0.845934515754506,
      0.375222783950559,
      0.59236586346086,
      0.700597164416053,
      0.323546147310588,
      0.326117608913942,
      0.705909204631768,
      0.91594198526032,
      0.699280143672188,
      0.48364229648115,
      0.988949991973103,
      0.848552314713326,
      0.683449838372595,
      0.555252825524061,
      0.589479810044604,
      0.781413117221365,
      0.56713174023581,
      0.389716602294308,
      0.714191386405982,
      1,
      0.918341563860006,
      0.544923318023122,
      0.521820016623689,
      0.378211805942937,
      0.759408952969081,
      0.721805920421585,
      0.314248237313091,
      0.476340777325619,
      0.241047619152055,
      0.633524794231483,
      0.158503263995838,
      0.239505607328432,
      0.491336797813409,
      0.383486826034163,
      0.272492604210271,
      0.366015691065354,
      0.151310877073164,
      0.415962592571062,
      0.651066930503882,
      0.524277390999078,
      0.583975317479442,
      0.302664346426608,
      0.416609120387389,
      0.573898526351986,
      0.54809927597745,
      0.161224143888116,
      0.612642009486707,
      0.141064105112263,
      0.609282807969165,
      0.526755954362252,
      0.401454656343235,
      0.412179913540336,
      0.577801800901379,
      0.225134045435887,
      0.295014684368223,
      0.424114895493596,
      0.140840696162348,
      0.246309628764873,
      0.374529294569529,
      0.172052533095727,
      0.365367878649699,
      0.64154145289004,
      0.508616548569806,
      0.632714543529984,
      0.400178355524493,
      0.296120555786138,
      0.433163056193188,
      0.529846892453701,
      0.35114188243478,
      0.651267682118369,
      0.755280808432158,
      0.619936032464929,
      0.50303958380652,
      0.601165404578828,
      0.62869551834557,
      0.446082365205226,
      0.263194014814901,
      0.226615967898225,
      0.237142712514171,
      0.209523644199234,
      0.239867249764673,
      0.30023969022728,
      0.684684130598412,
      0.604982706504757,
      1,
      0.71073907827654,
      0.765766117316539,
      0.989637680702355,
      0.814468205833984,
      0.260004129826992,
      0.212087360560933,
      0.287826832329449,
      0.320487957035676,
      0.23930643744617,
      0.673957765395275,
      0.536664595892264,
      0.273342342514922,
      0.67870551046648,
      0.319245388506514,
      0.284120172535307,
      0.333288879043988,
      0.293360534940237,
      0.252734749454134,
      0.299948067597504,
      0.329189512424253,
      0.264800623021936,
      0.613315777960253,
      0.933943029458777,
      0.624978186341276,
      0.797739431320227,
      1,
      0.579290312898208,
      0.403140203687847,
      0.207492570794805,
      0.405680155192244,
      0.340214717579169,
      0.374859385256275,
      0.239305786094773,
      0.330250137228693,
      0.311786898533538,
      0.367592087307257,
      0.311193478267957,
      0.362943364504683,
      0.645628727361172,
      1,
      0.99739337490976,
      0.5867108301505,
      0.249615737604593,
      0.312519352665804,
      0.281830204954544,
      0.26806787563519,
      0.39373207506465,
      0.347720671197571,
      0.42896695238844,
      0.414877319560741,
      0.241466445712572,
      0.269325586145234,
      0.322385900919981,
      0.553522024440135,
      0.428995715039515,
      0.684387841398225,
      1,
      1,
      1,
      0.485014067280054,
      0.453646704632925,
      0.300760988157007,
      0.389526667340362,
      0.678235515776234,
      0.933230317823075,
      0.397545899078108,
      0.277432460514407,
      0.307147903297559,
      0.251541570212855,
      0.43147333938116,
      0.343075683862713,
      0.420036513632269,
      0.46552621227546,
      0.181574104624529,
      0.401094135779767,
      0.403129339052278,
      0.463709764240282,
      0.461191707276215,
      0.518756731925553,
      1,
      1,
      0.783642209089054,
      0.410617494544273,
      0.484539501776102,
      0.314190765911698,
      0.323615651419505,
      0.40644344277351,
      0.26408271531072,
      0.136841185579802,
      0.233029571478321,
      0.83048604252176,
      1,
      0.801473805396751,
      0.785464504671823,
      1,
      0.65229182747178,
      0.324033091309447,
      0.272903489510156,
      0.872746451231589,
      0.453972803877682,
      0.304941223941858,
      0.960774828897465,
      0.748556449764668,
      0.373025607250204,
      0.625182174247777,
      0.689537589639045,
      0.467113151517999,
      0.359095244881523,
      0.325353548040577,
      0.255348980268915,
      0.478073243359796,
      0.335124539607143,
      0.358684765350083,
      0.850332400517775,
      1,
      0.603673563266984,
      0.662520310921124,
      1,
      0.561878714225558,
      0.39084197177205,
      0.23539930300221,
      0.435406974436086,
      0.268851131781118,
      0.179015410871809,
      0.198829838665631,
      0.351871336920658,
      0.281155914912251,
      0.521647526001344,
      0.363833979617583,
      0.325850842383848,
      0.663359946316263,
      1,
      1,
      0.669583146501568,
      0.287540145478241,
      0.306553158749219,
      0.281432639900183,
      0.237697287155236,
      0.339564767135998,
      0.53834389746724,
      0.676482897566925,
      0.442222891463187,
      0.252453410181376,
      0.304065204576315,
      0.406649797427574,
      0.363006440446246,
      0.389455276152183,
      0.691422917142848,
      1,
      1,
      0.868502250117952,
      0.269118086752722,
      0.358694442363597,
      0.240753547575856,
      0.365618576052204,
      0.716572963749687,
      0.703917051754627,
      0.456097470969907,
      0.309414434986587,
      0.213525237693369,
      0.243740026985663,
      0.346594543432483,
      0.268585370494941,
      0.3968897898258,
      0.431105827395502,
      0.272333478704827,
      0.414197911125445,
      0.244612384432955,
      0.356539398688714,
      0.395138221175235,
      0.747211886817689,
      1,
      1,
      0.823806076089743,
      0.284264953592145,
      0.403577868140929,
      0.431742756386737,
      0.358451986388335,
      0.580976069863221,
      0.414455579606759,
      0.223676215418942,
      0.388057941143994,
      0.973585841045576,
      0.811455019313128,
      0.323421814320974,
      0.747882009047591,
      0.448209061681931,
      0.464497255820068,
      0.437405899729822,
      0.497635927774862,
      0.355291379099579,
      0.247896834204817,
      0.253568482960696,
      0.423376946404987,
      0.37271969109768,
      0.635047152332797,
      0.347209497157896,
      0.404223929624309,
      0.641240371731161,
      0.362120133746472,
      0.548586162196765,
      0.279506414294786,
      0.198039830745045,
      0.237773669066267,
      0.384263843158521,
      0.996995158054799,
      0.838262232890423,
      0.265281017703049,
      0.733890934171233,
      0.533221818213901,
      0.544574413347848,
      0.316385195680837,
      0.586768395666879,
      0.744947584414655,
      0.600628612986525,
      0.450949262666668,
      0.588120988356133,
      0.384011061217137,
      0.370882238368161,
      0.378023277143677,
      0.362484519511815,
      0.35272310181032,
      0.687743892575518,
      0.693440400851865,
      0.667720989844225,
      0.624357105960077,
      0.48576710546519,
      0.573631777959156,
      0.250179236209939,
      0.257236242527836,
      0.358479657109207,
      0.380334042806426,
      0.398697469807606,
      0.375141508585639,
      0.307859324083444,
      0.351003992302322,
      0.321576566438481,
      0.536129464995955,
      0.355072262285353,
      0.754091405753331,
      1,
      1,
      0.955252226064149,
      0.371166994247056,
      0.413413160610706,
      0.334940377893827,
      0.420449319949218,
      0.768464012499869,
      0.726654641674597,
      0.341362776704369,
      0.295855989455411,
      0.219041274839215,
      0.388233963035012,
      0.545682779680375,
      0.381348288988552,
      0.44835425240782,
      0.454614774973209,
      0.241509281256043,
      0.509721562470949,
      0.581379463387557,
      0.535801799381081,
      0.456051002651295,
      0.705434354245564,
      1,
      1,
      0.97945620713391,
      0.455938988301564,
      0.375860168722175,
      0.395373685771498,
      0.341305341910807,
      0.384216324546958,
      0.281184738208946,
      0.338744976413505,
      0.356703519198228,
      0.910824417466584,
      1,
      0.963554660939003,
      0.597264688043567,
      0.370947491087972,
      0.400908822745247,
      0.210476707636559,
      0.245955705294009,
      0.311814599405064,
      0.151401946440979,
      0.346223543239096,
      0.536299226665003,
      1,
      1,
      0.926199076766917,
      0.403253982486325,
      0.380481138611038,
      0.268777741025421,
      0.288592720032929,
      0.386003693401543,
      0.255639844460541,
      0.304921631488222,
      0.498799871136159,
      0.45204962363574,
      0.380504306005062,
      0.478935886676929,
      0.28537235981317,
      0.415914876049136,
      0.493966692940523,
      0.22664570815859,
      0.389053684089171,
      0.462372280306474,
      0.490356356987271,
      0.30019601991123,
      0.719515810285054,
      1,
      1,
      0.917334923265033,
      0.378716933134753,
      0.446567959217178,
      0.289237855863269,
      0.611978888671546,
      0.911579253311645,
      0.512667794793274,
      0.962651173826814,
      0.333997404411044,
      0.292263990493616,
      0.405530998461127,
      0.669726886681362,
      0.369396193609307,
      0.444734229797688,
      0.315460400806695,
      0.224101464394763,
      0.426271833443352,
      0.636111033544803,
      0.527523713771932,
      0.343905821600203,
      0.639191749075902,
      0.999503933929509,
      0.991667254286349,
      0.887696128645123,
      0.373810877366125,
      0.372059343303692,
      0.332590809013519,
      0.695332419874564,
      0.620840681842564,
      0.466834657834936,
      0.330080549272265,
      0.311715471871226,
      0.210756310404391,
      0.267845034952531,
      0.361000654687211,
      0.374880023126635,
      0.517556268325755,
      0.52923849768535,
      0.286993800248397,
      0.199874823594597,
      0.224185629076437,
      0.448310084222968,
      0.204019254602088,
      0.716207134209001,
      1,
      1,
      0.705306965659107,
      0.391987490084531,
      0.428754724660883,
      0.287055274647173,
      0.572319438881972,
      0.816745240524042,
      0.846510643585706,
      0.435574086605842,
      0.331404433092933,
      0.293278438684001,
      0.292765881081842,
      0.446664338652284,
      0.406623643306781,
      0.6096390479283,
      0.298360312537271,
      0.527572763506364,
      0.574375624565492,
      0.572425597304218,
      0.625133830995996,
      0.632188125731292,
      0.619693061126413,
      0.724486578939252,
      0.888995635083734,
      0.887864895571865,
      0.501640253677139,
      0.712352865725386,
      0.46004625893807,
      0.422963082343788,
      0.325187333418664,
      0.648516522231347,
      0.727621058781597,
      0.39708607675864,
      0.420870102042583,
      0.295280799072027,
      0.466161407999895,
      0.284522534474638,
      0.370038161486322,
      0.532664555705134,
      0.64982164659366,
      0.517212664162158,
      0.327175329200933,
      0.143258328366246,
      0.348695384610738,
      0.56229810376194,
      0.45486230183165,
      0.518362993894748,
      0.291569120978145,
      0.223282522607944,
      0.466532599592278,
      0.510632596250111,
      0.109410176342632,
      0.552273994707288,
      0.201891184868096,
      0.318985419751387,
      0.439374672453865,
      0.345006025733066,
      0.458803403162946,
      0.496259046973218,
      0.228470557599692,
      0.52715778212785,
      0.500245823965955,
      0.400348778037517,
      0.47336327810673,
      0.329664219988212,
      0.215103749781925,
      0.371802255107907,
      0.571283393742944,
      0.414102964504356,
      0.55150623773691,
      0.374931521236901,
      0.177306128845541,
      0.39160691202196,
      0.453850745246304,
      0.632076067641315,
      0.5314433273728,
      0.617452483397762,
      0.526659060432662,
      0.440621390492749,
      0.401475589539718,
      0.480372471173473,
      0.379586551108169,
      0.221780850037909,
      0.255692340872731,
      0.206374367670011,
      0.182916643381617,
      0.244835566468477,
      0.255862177800952,
      0.439588004838968,
      0.336220274385867,
      0.450375411078155,
      0.337211351042597,
      0.362017530608999,
      0.303892251775806,
      0.341894594525055,
      0.145299006451268,
      0.178078352346662,
      0.226963644200658,
      0.249676132139211,
      0.177402731774539,
      0.332215104681092,
      0.637047182987683,
      0.388966014758891,
      0.482716869724922,
      0.462470637005118,
      0.421057076481233,
      0.418152982302549,
      0.215861112761276,
      0.20502330521119,
      0.36797648687523,
      0.243609334495149,
      0.221015093071053,
      0.42932054411622,
      0.463823401746606,
      0.475778126774551,
      0.326931717435324,
      0.442533637699633,
      0.290796683514611,
      0.305785337361656,
      0.152900813142482,
      0.17435498194793,
      0.236718669909831,
      0.274114277641302,
      0.173245412337947,
      0.216970174496664,
      0.226229001602687,
      0.326315875837424,
      0.239779610747801,
      0.188484725434206,
      0.229834577343925,
      0.214042450938464,
      0.336336690934586,
      0.402393656053116,
      0.245281265194109,
      0.320545086788017,
      0.262847561434828,
      0.211430189252095,
      0.373571552989421,
      0.324736358932391,
      0.460653188925941,
      0.411073726329538,
      0.159802872456193,
      0.228966976037248,
      0.319828249070797,
      0.611059154367495,
      0.528333075573159,
      0.540443690644311,
      0.213061893161546,
      0.242814441644679,
      0.322580233454896,
      0.410629179754445,
      0.239486786552744,
      0.258612450731654,
      0.29309023035845,
      0.340000068426312,
      0.391459642200892,
      0.399485374249245,
      0.263626420355625,
      0.267542575003156,
      0.22204957297077,
      0.523146623563345,
      0.324621954873533,
      0.410239387527604,
      0.461943552236658,
      0.177211753135934,
      0.411362037463406,
      0.324828330161594,
      0.461214224873636,
      0.379033385033088,
      0.344492818758473,
      0.194801574929018,
      0.340019858055801,
      0.221025809561142,
      0.304807330089504,
      0.383569757958078,
      0.244517884847083,
      0.252815788575414,
      0.371934142421685,
      0.227121285223847,
      0.104170233545769,
      0.186986697229764,
      0.485289183313667,
      0.406822560081457,
      0.381246320125202,
      0.283198912369419,
      0.255330922914044,
      0.280087582390149,
      0.238647429326143,
      0.181370468403759,
      0.386241917584389,
      0.315868226414942,
      0.183749833047287,
      0.394485933769306,
      0.642893078279669,
      0.379373369556415,
      0.666017464715269,
      0.654488733029532,
      0.606726403136676,
      0.496020793820608,
      0.207949990138108,
      0.189670002207423,
      0.366676745126835,
      0.319722079605954,
      0.315662423514774,
      0.43356691890294,
      0.358914106833966,
      0.368010870381729,
      0.43772839478348,
      0.402037102334872,
      0.407689822056276,
      0.263759282565856,
      0.190745489684926,
      0.191707626815131,
      0.169170128768006,
      0.17331940961062,
      0.156117831810154,
      0.250839188732967,
      0.17812994312535,
      0.234136073598803,
      0.266865522221324,
      0.239191108493143,
      0.228774741346593,
      0.206833307359064,
      0.261118664092215,
      0.517310189498261,
      0.280810408413769,
      0.310106072624723,
      0.290219168631208,
      0.1894134949087,
      0.274062996955112,
      0.298276478820274,
      0.440292701518503,
      0.52748817805835,
      0.181686570295287,
      0.353566448411193,
      0.279126165914271,
      0.459298776403364,
      0.446565765745756,
      0.370649143102153,
      0.254872448932799,
      0.3869325696532,
      0.311251397447067,
      0.268810132109816,
      0.186065748997456,
      0.168153993310138,
      0.249957385663871,
      0.424224538334791,
      0.473210147485715,
      0.385084958750744,
      0.302990164579004,
      0.181416802202996,
      0.218313110870377,
      0.293260614871712,
      0.273470933857299,
      0.434726137272577,
      0.367369761584935,
      0.178934892934159,
      0.251473943017537,
      0.162855816464211,
      0.396126309768809,
      0.374540918556645,
      0.454772664407423,
      0.244508815565117,
      0.236452616456881,
      0.174178378175417,
      0.421449381521963,
      0.364902934630617,
      0.281189625904931,
      0.284136670723999,
      0.357000140363303,
      0.433979749369915,
      0.222137178374051,
      0.394317430079689,
      0.501421587676391,
      0.310648904659617,
      0.208604740122852,
      0.351246691138792,
      0.309955773570624,
      0.446432167053506,
      0.280258276661167,
      0.357543769060104,
      0.261730463982478,
      0.27499874596495,
      0.282738592288325,
      0.46398972734019,
      0.409751778681746,
      0.512617954854111,
      0.639231823873188,
      0.530088343747556,
      0.624879778906855,
      0.305869116504076,
      0.313581802632894,
      0.216215056128787,
      0.231839289052338,
      0.211308738818777,
      0.454061259809212,
      0.397027423383864,
      0.359755712869386,
      0.216800594371944,
      0.226600212826545,
      0.33563608173975,
      0.35924852585702,
      0.216086184795011,
      0.372555023285698,
      0.564810449950821,
      0.350718135331822,
      0.294642636434994,
      0.408697207720827,
      0.295420823980923,
      0.243853245176056,
      0.300541949134641,
      0.333213911483132,
      0.299832347386007,
      0.390709862122802,
      0.284904792595586,
      0.26567207156255,
      0.338946422672577,
      0.295528143290653,
      0.347679898770005,
      0.211391572576724,
      0.220609654076333,
      0.353024038088695,
      0.271252614021773,
      0.342549672558377,
      0.338646755110429,
      0.251952234910464,
      0.312602937844754,
      0.309589530922751,
      0.454763982880198,
      0.381633730414728,
      0.436418867231383,
      0.167627661973357,
      0.253880953747133,
      0.314313085279086,
      0.325294982039079,
      0.301845903650824,
      0.279569107277135,
      0.245299389419072,
      0.30367524228014,
      0.494501744967926,
      0.483169754132196,
      0.302460685564778,
      0.163862322741023,
      0.364796826314552,
      0.387096193258211,
      0.407054336832212,
      0.52994498024888,
      0.401080045598168,
      0.218635414685406,
      0.443236717148204,
      0.567536118370082,
      0.459615545731682,
      0.505378145544073,
      0.4027664835468,
      0.24881382812707,
      0.327832702462408,
      0.392199210690244,
      0.296869251268518,
      0.317144127209417,
      0.294589854081576,
      0.249125640926107,
      0.253212636137833,
      0.256471960390959,
      0.398533248249702,
      0.525622215854634,
      0.375479318041214,
      0.383569166118879,
      0.330789139271919,
      0.422779774237858,
      0.247897170060335,
      0.238127948356177,
      0.132619267690218,
      0.177897011033621,
      0.25899822166094,
      0.139512598095231,
      0.253868185646472,
      0.373147772261888,
      0.47291346383827,
      0.441658552754699,
      0.38539726819164,
      0.24291701944021,
      0.225955213936817,
      0.208713461096482,
      0.150850860948564,
      0.308636776070202,
      0.323682812340981,
      0.213786580668809,
      0.315613912722036,
      0.285519890921566,
      0.378720472304441,
      0.575024060179503,
      0.206005665723723,
      0.371381853290353,
      0.517860121767254,
      0.185193271130939,
      0.330520135220761,
      0.291204183446752,
      0.328991384705684,
      0.27681337496775,
      0.349499388641629,
      0.235411942642378,
      0.241780054139829,
      0.258953094039823,
      0.273587243849113,
      0.530834102372115,
      0.284622410671407,
      0.307542639442647,
      0.505623886641068,
      0.620812043536049,
      0.492211207197878,
      0.225704216350439,
      0.216205934922908,
      0.311375944201417,
      0.40515595091787,
      0.26898884392135,
      0.389831856672455,
      0.218206306506964,
      0.208037685465387,
      0.484640210975755,
      0.615891517222759,
      0.558852411096693,
      0.382671271443467,
      0.391315481145116,
      0.367937451097742,
      0.398040206102181,
      0.348726042690415,
      0.265796562801797,
      0.28391148993362,
      0.260511680039701,
      0.435775920202211,
      0.342755518812,
      0.370049589085252,
      0.40358856634235,
      0.248856162162503,
      0.188841355740869,
      0.233185466671008,
      0.353264646303276,
      0.425990971603938,
      0.428726858640403,
      0.529508421863939,
      0.361863355577332,
      0.316569123890553,
      0.19395847994632,
      0.324274510736526,
      0.213361836382678,
      0.310250997047216,
      0.453992235081501,
      0.396126728817185,
      0.271300974450387,
      0.231045910109629,
      0.303576772207061,
      0.23162085316872,
      0.343877749024254,
      0.44561427900722,
      0.531528795508782,
      0.429840504635913,
      0.249189021925203,
      0.186723361628533,
      0.215601529656862,
      0.311999875083963,
      0.372433741238253,
      0.508841966133158,
      0.401083222835799,
      0.459517552167255,
      0.571954235295152,
      0.552306845977055,
      0.405737917415903,
      0.448664458556329,
      0.459611283854785,
      0.429888350156009,
      0.491724590295325,
      0.575992027411897,
      0.269264721184587,
      0.447252092258221,
      0.47241059989154,
      0.339353789098938,
      0.334728253703057,
      0.908406186617886,
      0.673286597097264,
      0.253742165700491,
      0.372181211744234,
      0.43602262201817,
      0.500705899681148,
      0.641280266134086,
      0.558576291951613,
      0.731618105734922,
      0.583207761039383,
      0.817456037970511,
      0.32031865174782,
      0.300479872321995,
      0.716531151541934,
      0.499312601157604,
      0.670979243360517,
      0.598424404612772,
      0.379402390772211,
      0.523227439369958,
      0.532815908690336,
      0.747613626163083,
      0.142064109755169,
      0.529265283758159,
      0.275870363779855,
      0.385373593618714,
      0.54272504307116,
      0.468472903236287,
      0.534765254614729,
      0.508880564048471,
      0.451670209531507,
      0.725406466171833,
      0.651003424709757,
      0.645054700414886,
      0.844125043884774,
      0.321477749219692,
      0.288540227345357,
      0.709117169649847,
      0.572362293499912,
      0.658938560340449,
      0.643636892038418,
      0.381365556489484,
      0.327026235720714,
      0.552796927705919,
      0.458268600869355,
      0.822208209779224,
      0.516197060171186,
      0.676800897314982,
      0.520311723767619,
      0.537592126533438,
      0.489772561634268,
      0.469620689245666,
      0.482827195190623,
      0.339937441988185,
      0.23865308284583,
      0.270501305827358,
      0.304844204285783,
      0.309871395249046,
      0.38144078628751,
      0.761437027189355,
      0.777522382858703,
      0.27578535521412,
      0.182773673853827,
      0.263642209876083,
      0.187088120324876,
      0.208339744341027,
      0.223161896447582,
      0.215230924012399,
      0.181551829818026,
      0.228861368203625,
      0.203353917806474,
      0.411512219028526,
      0.929370725077952,
      1,
      0.800585917062534,
      1,
      1,
      0.842300898697637,
      0.245446806922225,
      0.218942895850532,
      0.400769184524559,
      0.241711436075638,
      0.574435266006941,
      0.783736602232293,
      0.243898018172508,
      0.241934159489431,
      0.258899043859824,
      0.185039151148863,
      0.232825884553061,
      0.308439043404754,
      0.131235647317387,
      0.230867764302107,
      0.213530709542889,
      0.254283350050067,
      0.241786344639915,
      0.260493812763408,
      0.241106139519848,
      0.509194560801527,
      0.400679754817263,
      0.323523961646953,
      0.366166529754567,
      0.180392239421606,
      0.219645174570611,
      0.697125394004302,
      0.472397649289751,
      0.638476855332127,
      0.513985498409402,
      0.334564847914243,
      0.594243746131481,
      0.397900847652826,
      0.479022146203421,
      0.892977573290884,
      0.309862719661495,
      0.407328371607128,
      0.441152921926166,
      0.894851387039455,
      0.795389506368213,
      0.746225251813937,
      0.237543530160925,
      0.261922003777974,
      0.321662921953892,
      0.637309697502759,
      0.309216508925145,
      0.317522065614377,
      0.490295688945868,
      0.360560848379156,
      0.565156768562833,
      0.679305212661379,
      0.390563409091594,
      0.326128121811495,
      0.32714536836079,
      0.584209900296617,
      0.426636222746839,
      0.556045651989148,
      0.785362735249665,
      0.240416410824946,
      0.444093323893949,
      0.594556671270019,
      0.587177205190786,
      0.892645201389047,
      0.674787168630117,
      0.168277888374094,
      0.223251101496857,
      0.206123506749142,
      0.353811803536467,
      0.925459825434788,
      0.460988140173383,
      0.358294329298712,
      0.471333351195439,
      0.272273143001201,
      0.275639207990698,
      0.362202356761712,
      0.40961499274682,
      0.255984859573141,
      0.243170102599347,
      0.174271905720878,
      0.115827233250032,
      0.209297962335195,
      0.418424328367059,
      0.312030523314127,
      0.398357805231544,
      0.404328190577784,
      0.171785494982364,
      0.18781685191164,
      0.9375499437804,
      0.967244721917469,
      0.981580097432851,
      0.936878657579422,
      0.9870307202074,
      0.71413475805922,
      0.347549233081221,
      0.275976012759156,
      0.403361452252533,
      0.32748528273312,
      0.61455026592951,
      0.593552594135413,
      0.171045143614,
      0.508668947463563,
      0.332013852759141,
      0.281708570039125,
      0.30660100019214,
      0.251032723622512,
      0.143163450876404,
      0.270706156397221,
      0.200035798427024,
      0.186147361451473,
      0.232922254153462,
      0.233019817131583,
      0.267590825356595,
      0.218682235117143,
      0.352735315768001,
      0.240078078606462,
      0.335021946819003,
      0.201571477856967,
      0.166205456750556,
      0.790709433498923,
      0.375371144614225,
      0.518789875692623,
      0.626497704419411,
      0.288566227822958,
      0.542750040042196,
      0.327146300731317,
      0.458514204820723,
      0.624123966699513,
      0.258005670092894,
      0.293142569183002,
      0.25264767040877,
      0.597781239517432,
      0.810126986588309,
      0.724996608886652,
      0.182518027385296,
      0.164393790047389,
      0.263867268744151,
      0.347962692922941,
      0.327740864930727,
      0.234108765264085,
      0.35978088455409,
      0.30453812776391,
      0.858273027104847,
      0.463551589478686,
      0.292353225461251,
      0.238153545779412,
      0.391181338900859,
      0.470593585315685,
      0.289346918703707,
      0.393106133843599,
      0.855818261858339,
      0.350128611294054,
      0.284407784373945,
      0.344481355421344,
      0.986964988326412,
      0.750285567384376,
      0.744860727021517,
      0.290133503006724,
      0.19003195431285,
      0.419336124467827,
      0.736211633360243,
      0.616952740488021,
      0.33461186612807,
      0.232920408638893,
      0.355109225257832,
      0.550522475466624,
      0.419404578978293,
      0.518082599879746,
      0.319532780449538,
      0.266194300766057,
      0.330195599652725,
      0.41735522641139,
      0.44657256794769,
      0.510144035627761,
      0.285849911956198,
      0.294920393086511,
      0.401376582580647,
      0.247628891343734,
      0.28204744676776,
      0.727594780379451,
      0.8981187740203,
      0.973554869857276,
      0.879062566105448,
      0.948814170693525,
      0.868135059365334,
      0.251842742193805,
      0.310785273499932,
      0.205347769861101,
      0.222775832258133,
      0.244328735588547,
      0.831735938297671,
      0.370266972694529,
      0.25544198449053,
      0.209030040468455,
      0.199439953702928,
      0.350367930206774,
      0.431226735565034,
      0.218132417432288,
      0.38672761324118,
      0.60423984031083,
      0.257260037081971,
      0.213281357356556,
      0.310237812816244,
      0.290883667008361,
      0.260028203730538,
      0.363313533804411,
      0.35552366468051,
      0.332086124091105,
      0.444107302702478,
      0.368708310088169,
      0.222893265606966,
      0.457751474135436,
      0.417239883980806,
      0.630602156585455,
      0.278372536210316,
      0.355740680698645,
      0.451742185797689,
      0.257900131239409,
      0.473455486216871,
      0.815089125551577,
      0.394671238758766,
      0.507427916336021,
      0.583441728603188,
      0.948279461437952,
      0.833555440770712,
      0.749146111102345,
      0.165171926838034,
      0.254950278542806,
      0.30042690310237,
      0.564076017939441,
      0.380934728460238,
      0.355870405466569,
      0.362009415621407,
      0.297455334252706,
      0.79574752646928,
      0.6968011180313,
      0.408417008970158,
      0.324979931158895,
      0.433621933016365,
      0.408913224651024,
      0.47726729439936,
      0.650093254443963,
      0.843573090733581,
      0.407604307463968,
      0.41168994637431,
      0.738277069926969,
      0.337100433014118,
      0.800581256727444,
      0.379503033475609,
      0.12224151947984,
      0.209641147774457,
      0.431377982308865,
      0.471998808042174,
      0.456379457463501,
      0.352492749547376,
      0.291232575765881,
      0.28265264452071,
      0.428384845086141,
      0.740648852718961,
      1,
      0.523971752713912,
      0.28494970959867,
      0.208007508433037,
      0.466402065092265,
      0.327217479327221,
      0.343471078534005,
      0.183377984313153,
      0.286596991964359,
      0.342188179564678,
      0.213075817525425,
      0.292669144032122,
      0.255240917045204,
      0.300705730622799,
      0.446211424514967,
      0.319038757499908,
      0.428568549651588,
      0.322880558038117,
      0.288351614821181,
      0.293476192011228,
      0.464745854727421,
      0.372278857102792,
      0.380253971699288,
      0.644187221843823,
      0.484417069638698,
      0.414568807793745,
      0.410557362994544,
      0.243524012947978,
      0.3327802790864,
      0.607715610771013,
      0.285056473089045,
      0.366801200202096,
      0.319652706181791,
      0.553806434614399,
      0.470492154588747,
      0.646273654788334,
      0.209322173266316,
      0.192312338663389,
      0.25317689662447,
      0.37603681725893,
      0.963863835917039,
      0.350515359227927,
      0.316868194417703,
      0.209533190035166,
      0.836494917007056,
      0.373720560356466,
      0.320924134950845,
      0.293843969295238,
      0.374362667132689,
      0.441687636061396,
      0.321219114739733,
      0.519978062716986,
      0.315706732810699,
      0.215454042109161,
      0.475445206337361,
      0.702229418143458,
      0.702641695790304,
      0.569290323391983,
      0.555432156295023,
      0.311360918189462,
      0.222140608918085,
      0.411238152294849,
      0.487882594216487,
      0.373558815896633,
      0.44671771050007,
      0.537319918700493,
      0.591210979706719,
      0.412535796184797,
      0.310090495983813,
      0.320897746154487,
      0.231381850552644,
      0.267004296991121,
      0.404351842720522,
      0.33348094973367,
      0.583489868857555,
      0.621277672517821,
      0.367999011721576,
      0.197764808758149,
      0.192125821190277,
      0.413808709018484,
      0.380633297280515,
      0.771630907499371,
      0.227318811874161,
      0.231512336433969,
      0.275438258521853,
      0.277108589131612,
      0.302132055211646,
      0.283402267369838,
      0.363360274956236,
      0.393338471239013,
      0.702988061905082,
      0.657375003225187,
      0.572425487730811,
      0.259880484945478,
      0.329450066352607,
      0.389396966047065,
      0.40915302135184,
      0.620305336455928,
      0.474473377934291,
      0.47091899133912,
      0.497321798729045,
      0.492857267251512,
      0.456535631946284,
      0.411462984199352,
      0.478973510413389,
      0.370500066565912,
      0.313142787574733,
      0.474525709664154,
      0.30298268578577,
      0.452760801974122,
      0.560276418709459,
      0.341951732976742,
      0.387298046588423,
      0.854310326017252,
      0.907427972919378,
      0.312690344002325,
      0.330136661700123
    ],
    "chord_labels": [
      "Cm",
      "A",
      "C#m",
      "E",
      "Bm",
      "A#m",
      "B",
      "C#m",
      "C#",
      "G#m",
      "G#",
      "G#",
      "C#m",
      "C#m",
      "E",
      "C#",
      "Bm",
      "C#m",
      "C#",
      "C#m",
      "A",
      "C#",
      "C#m",
      "C#m",
      "C#m",
      "C#m",
      "Em",
      "B",
      "B",
      "B",
      "C#m",
      "C#",
      "G#m",
      "C#",
      "G#",
      "C#m",
      "C#",
      "A",
      "C#",
      "G#",
      "G#m",
      "D",
      "D",
      "D",
      "C",
      "C#m",
      "C#",
      "C#m",
      "C#m",
      "C#m",
      "C#m",
      "Em",
      "Em",
      "Em",
      "C",
      "Am",
      "A",
      "F#m",
      "D",
      "F#m",
      "A",
      "C#m",
      "F#m",
      "F#m",
      "C#m",
      "F#m",
      "A",
      "Bm",
      "Em",
      "F#m",
      "Bm",
      "B",
      "Bm",
      "F#m",
      "C#",
      "G#",
      "C#",
      "Bm",
      "Bm",
      "D",
      "A",
      "A",
      "A",
      "A",
      "C#m",
      "F#m",
      "A",
      "C#m",
      "F#m",
      "A",
      "F#m",
      "F#m",
      "Bm",
      "E",
      "E",
      "C#m",
      "A",
      "F#m",
      "F#m",
      "C",
      "F#",
      "E",
      "C#m",
      "Em",
      "C#m",
      "C#",
      "B",
      "C#m",
      "C#m",
      "C#m",
      "E",
      "Bm",
      "B",
      "F#m",
      "F#m",
      "Am",
      "E",
      "C#m",
      "C#m",
      "F#m",
      "C#m",
      "F#m",
      "Bm",
      "C#m",
      "C#m",
      "C#m",
      "Em",
      "C#",
      "C#",
      "B",
      "C#m",
      "C#m",
      "E",
      "B",
      "E",
      "B",
      "A",
      "A",
      "A",
      "C#m",
      "G#m",
      "F#m",
      "F#m",
      "Em",
      "C",
      "C#m",
      "F#m",
      "Am",
      "A",
      "A",
      "A",
      "A",
      "A",
      "C#m",
      "F#m",
      "F#m",
      "D",
      "D",
      "F#m",
      "G#m",
      "B",
      "B",
      "G#m",
      "E",
      "B",
      "F#m",
      "G#m",
      "C#",
      "C#",
      "A",
      "F#m",
      "D",
      "C#m",
      "A",
      "A",
      "C#m",
      "F#m",
      "F#m",
      "A",
      "A",
      "B",
      "C#m",
      "F#m",
      "F#m",
      "C#m",
      "C#m",
      "C#m",
      "C#m",
      "F#m",
      "A",
      "Am",
      "C#m",
      "C",
      "Em",
      "C#m",
      "Bm",
      "Fm",
      "C#m",
      "G#",
      "C#",
      "C#m",
      "C#",
      "B",
      "B",
      "Bm",
      "A",
      "A",
      "Am",
      "E",
      "C#m",
      "F#m",
      "F#m",
      "D",
      "Bm",
      "C#m",
      "C#m",
      "A",
      "E",
      "B",
      "G#",
      "C#",
      "G",
      "C#m",
      "C#m",
      "C#m",
      "E",
      "B",
      "D",
      "A",
      "A",
      "F#m",
      "G#m",
      "C#m",
      "C#m",
      "F#m",
      "C#m",
      "C",
      "C",
      "C#m",
      "F#m",
      "A",
      "C#m",
      "C#m",
      "C#m",
      "C#m",
      "F#m",
      "F#m",
      "A",
      "C#m",
      "C#m",
      "Cm",
      "G",
      "G#m",
      "B",
      "Bm",
      "Em",
      "F#m",
      "F#m",
      "G#",
      "C#",
      "C#",
      "B",
      "F#m",
      "A",
      "C#m",
      "C#m",
      "C#m",
      "C#m",
      "F#m",
      "F#m",
      "C#m",
      "C#m",
      "F#m",
      "A",
      "F#m",
      "F#m",
      "F#m",
      "G#m",
      "C#",
      "C#m",
      "C#m",
      "F#m",
      "F#m",
      "F#m",
      "B",
      "C#m",
      "Em",
      "F#m",
      "C#m",
      "C#m",
      "G#m",
      "C#m",
      "C#m",
      "C#m",
      "G#m",
      "B",
      "B",
      "A",
      "A",
      "A",
      "E",
      "C#m",
      "C#m",
      "F#m",
      "D",
      "F#m",
      "F#",
      "C#m",
      "Em",
      "C#m",
      "F#m",
      "C#m",
      "C#",
      "B",
      "A",
      "C#m",
      "C#m",
      "F#m",
      "Bm",
      "D",
      "A",
      "A",
      "F#m",
      "E",
      "E",
      "F#m",
      "F#m",
      "D",
      "F#m",
      "C#m",
      "B",
      "A",
      "F#m",
      "A",
      "Em",
      "E",
      "C#m",
      "F#m",
      "F#m",
      "B",
      "Em",
      "C",
      "F#m",
      "F#m",
      "A",
      "A",
      "C#m",
      "C#m",
      "C#",
      "F#m",
      "Bm",
      "C#m",
      "C",
      "C#m",
      "E",
      "E",
      "D#m",
      "C#",
      "G#",
      "F#",
      "C#m",
      "C#m",
      "C#m",
      "B",
      "Bm",
      "D",
      "A",
      "A",
      "A",
      "E",
      "E",
      "F#m",
      "F#m",
      "D",
      "B",
      "D",
      "C#m",
      "C",
      "A",
      "F#m",
      "C#m",
      "G#",
      "Dm",
      "C#m",
      "C#m",
      "C#m",
      "B",
      "B",
      "Am",
      "F",
      "A",
      "D",
      "Fm",
      "Fm",
      "C",
      "F#m",
      "F#m",
      "G",
      "Cm",
      "C",
      "C#m",
      "C",
      "Bm",
      "C#m",
      "C#m",
      "Cm",
      "F#",
      "F#",
      "D#m",
      "C",
      "C#m",
      "Am",
      "A",
      "A",
      "C#m",
      "C#m",
      "C#m",
      "C",
      "F#m",
      "D",
      "D",
      "G#",
      "C",
      "E",
      "C#m",
      "C#",
      "C#m",
      "F#m",
      "F#",
      "C#m",
      "C#m",
      "C#m",
      "A",
      "F#m",
      "F#m",
      "F#m",
      "A",
      "A",
      "C#",
      "Fm",
      "C#m",
      "F#m",
      "F#",
      "F#",
      "E",
      "F"
    ],
    "chord_timestamps": [
      0,
      0.5,
      1,
      1.5,
      2,
      2.5,
      3,
      3.5,
      4,
      4.5,
      5,
      5.5,
      6,
      6.5,
      7,
      7.5,
      8,
      8.5,
      9,
      9.5,
      10,
      10.5,
      11,
      11.5,
      12,
      12.5,
      13,
      13.5,
      14,
      14.5,
      15,
      15.5,
      16,
      16.5,
      17,
      17.5,
      18,
      18.5,
      19,
      19.5,
      20,
      20.5,
      21,
      21.5,
      22,
      22.5,
      23,
      23.5,
      24,
      24.5,
      25,
      25.5,
      26,
      26.5,
      27,
      27.5,
      28,
      28.5,
      29,
      29.5,
      30,
      30.5,
      31,
      31.5,
      32,
      32.5,
      33,
      33.5,
      34,
      34.5,
      35,
      35.5,
      36,
      36.5,
      37,
      37.5,
      38,
      38.5,
      39,
      39.5,
      40,
      40.5,
      41,
      41.5,
      42,
      42.5,
      43,
      43.5,
      44,
      44.5,
      45,
      45.5,
      46,
      46.5,
      47,
      47.5,
      48,
      48.5,
      49,
      49.5,
      50,
      50.5,
      51,
      51.5,
      52,
      52.5,
      53,
      53.5,
      54,
      54.5,
      55,
      55.5,
      56,
      56.5,
      57,
      57.5,
      58,
      58.5,
      59,
      59.5,
      60,
      60.5,
      61,
      61.5,
      62,
      62.5,
      63,
      63.5,
      64,
      64.5,
      65,
      65.5,
      66,
      66.5,
      67,
      67.5,
      68,
      68.5,
      69,
      69.5,
      70,
      70.5,
      71,
      71.5,
      72,
      72.5,
      73,
      73.5,
      74,
      74.5,
      75,
      75.5,
      76,
      76.5,
      77,
      77.5,
      78,
      78.5,
      79,
      79.5,
      80,
      80.5,
      81,
      81.5,
      82,
      82.5,
      83,
      83.5,
      84,
      84.5,
      85,
      85.5,
      86,
      86.5,
      87,
      87.5,
      88,
      88.5,
      89,
      89.5,
      90,
      90.5,
      91,
      91.5,
      92,
      92.5,
      93,
      93.5,
      94,
      94.5,
      95,
      95.5,
      96,
      96.5,
      97,
      97.5,
      98,
      98.5,
      99,
      99.5,
      100,
      100.5,
      101,
      101.5,
      102,
      102.5,
      103,
      103.5,
      104,
      104.5,
      105,
      105.5,
      106,
      106.5,
      107,
      107.5,
      108,
      108.5,
      109,
      109.5,
      110,
      110.5,
      111,
      111.5,
      112,
      112.5,
      113,
      113.5,
      114,
      114.5,
      115,
      115.5,
      116,
      116.5,
      117,
      117.5,
      118,
      118.5,
      119,
      119.5,
      120,
      120.5,
      121,
      121.5,
      122,
      122.5,
      123,
      123.5,
      124,
      124.5,
      125,
      125.5,
      126,
      126.5,
      127,
      127.5,
      128,
      128.5,
      129,
      129.5,
      130,
      130.5,
      131,
      131.5,
      132,
      132.5,
      133,
      133.5,
      134,
      134.5,
      135,
      135.5,
      136,
      136.5,
      137,
      137.5,
      138,
      138.5,
      139,
      139.5,
      140,
      140.5,
      141,
      141.5,
      142,
      142.5,
      143,
      143.5,
      144,
      144.5,
      145,
      145.5,
      146,
      146.5,
      147,
      147.5,
      148,
      148.5,
      149,
      149.5,
      150,
      150.5,
      151,
      151.5,
      152,
      152.5,
      153,
      153.5,
      154,
      154.5,
      155,
      155.5,
      156,
      156.5,
      157,
      157.5,
      158,
      158.5,
      159,
      159.5,
      160,
      160.5,
      161,
      161.5,
      162,
      162.5,
      163,
      163.5,
      164,
      164.5,
      165,
      165.5,
      166,
      166.5,
      167,
      167.5,
      168,
      168.5,
      169,
      169.5,
      170,
      170.5,
      171,
      171.5,
      172,
      172.5,
      173,
      173.5,
      174,
      174.5,
      175,
      175.5,
      176,
      176.5,
      177,
      177.5,
      178,
      178.5,
      179,
      179.5,
      180,
      180.5,
      181,
      181.5,
      182,
      182.5,
      183,
      183.5,
      184,
      184.5,
      185,
      185.5,
      186,
      186.5,
      187,
      187.5,
      188,
      188.5,
      189,
      189.5,
      190,
      190.5,
      191,
      191.5,
      192,
      192.5,
      193,
      193.5,
      194,
      194.5,
      195,
      195.5,
      196,
      196.5,
      197,
      197.5,
      198,
      198.5,
      199,
      199.5,
      200,
      200.5,
      201,
      201.5,
      202,
      202.5,
      203,
      203.5,
      204,
      204.5,
      205,
      205.5,
      206,
      206.5,
      207,
      207.5,
      208,
      208.5,
      209,
      209.5,
      210,
      210.5,
      211,
      211.5,
      212,
      212.5,
      213,
      213.5,
      214,
      214.5,
      215,
      215.5,
      216,
      216.5,
      217,
      217.5,
      218,
      218.5,
      219,
      219.5,
      220,
      220.5,
      221,
      221.5,
      222,
      222.5
    ],
    "key_change_timestamps": [
      19.969,
      23.963,
      27.957,
      31.951,
      35.944,
      39.938,
      47.926,
      63.901,
      67.895,
      75.883,
      87.864,
      91.858,
      95.852,
      99.846,
      119.815,
      123.809,
      127.803,
      135.79,
      143.778,
      147.772,
      151.766,
      167.741,
      171.735,
      179.722,
      199.692,
      203.685,
      207.679
    ],
    "key_change_from": [
      "C# minor",
      "E minor",
      "E major",
      "F# minor",
      "B major",
      "C# minor",
      "F# minor",
      "C# minor",
      "E major",
      "A major",
      "F# minor",
      "E major",
      "C# minor",
      "F# minor",
      "C# minor",
      "F# major",
      "C# minor",
      "F# minor",
      "C# minor",
      "F# minor",
      "C# minor",
      "F# minor",
      "C# minor",
      "F# minor",
      "C# minor",
      "E major",
      "C# minor"
    ],
    "key_change_to": [
      "E minor",
      "E major",
      "F# minor",
      "B major",
      "C# minor",
      "F# minor",
      "C# minor",
      "E major",
      "A major",
      "F# minor",
      "E major",
      "C# minor",
      "F# minor",
      "C# minor",
      "F# major",
      "C# minor",
      "F# minor",
      "C# minor",
      "F# minor",
      "C# minor",
      "F# minor",
      "C# minor",
      "F# minor",
      "C# minor",
      "E major",
      "C# minor",
      "F# minor"
    ],
    "mode_family": "major",
    "mode_detail": null,
    "essentia_harmonic_tension_curve": [
      0.49999570846557617,
      0.4998776316642761,
      0.49998903274536133,
      0.49999865889549255,
      0.49979063868522644,
      0.499959796667099,
      0.49999895691871643,
      0.4999781548976898,
      0.4999966323375702,
      0.49998077750205994,
      0.49961838126182556,
      0.4999278485774994,
      0.49978530406951904,
      0.49998724460601807,
      0.4999966621398926,
      0.4998774826526642,
      0.4999241530895233,
      0.4999987483024597,
      0.4998994767665863,
      0.49999281764030457,
      0.49999845027923584,
      0.49995550513267517,
      0.49992212653160095,
      0.49998268485069275,
      0.4999508559703827,
      0.4999990463256836,
      0.4999423623085022,
      0.49997788667678833,
      0.49999475479125977,
      0.49993202090263367,
      0.4999983310699463,
      0.49999427795410156,
      0.499703049659729,
      0.49988630414009094,
      0.49999523162841797,
      0.4999030530452728,
      0.49999377131462097,
      0.49998781085014343,
      0.49966108798980713,
      0.4999793767929077,
      0.49990716576576233,
      0.4998771548271179,
      0.4999561011791229,
      0.4999704957008362,
      0.4998389780521393,
      0.49985408782958984,
      0.4996870458126068,
      0.4998393654823303,
      0.49972277879714966,
      0.4999076724052429,
      0.4998343288898468,
      0.49993762373924255,
      0.49993690848350525,
      0.49997270107269287,
      0.49977871775627136,
      0.49990198016166687,
      0.4999231994152069,
      0.49987080693244934,
      0.49988287687301636,
      0.4998411238193512,
      0.4994337558746338,
      0.4999008774757385,
      0.4994024336338043,
      0.4993297755718231,
      0.499958872795105,
      0.49985405802726746,
      0.49990275502204895,
      0.4998597204685211,
      0.49979814887046814,
      0.4999563694000244,
      0.4998813271522522,
      0.4999164342880249,
      0.499825119972229,
      0.49994513392448425,
      0.4999886453151703,
      0.4999271035194397,
      0.49982720613479614,
      0.49976518750190735,
      0.49999430775642395,
      0.49973732233047485,
      0.4999013841152191,
      0.4999448359012604,
      0.4996877610683441,
      0.4997791051864624,
      0.49984803795814514,
      0.49984845519065857,
      0.4998222291469574,
      0.49981689453125,
      0.49994295835494995,
      0.49989446997642517,
      0.49990636110305786,
      0.4998787045478821,
      0.499995619058609,
      0.49981260299682617,
      0.4998967945575714,
      0.4999799132347107,
      0.49996712803840637,
      0.49997782707214355,
      0.4999382793903351,
      0.49982255697250366,
      0.49990764260292053,
      0.49967536330223083,
      0.4999992549419403,
      0.4998858869075775,
      0.499838650226593,
      0.49987882375717163,
      0.4998991787433624,
      0.4999167025089264,
      0.4998779594898224,
      0.4998381435871124,
      0.49996376037597656,
      0.49988335371017456,
      0.49996277689933777,
      0.4999828338623047,
      0.499941885471344,
      0.4999910593032837,
      0.4999980628490448,
      0.49984368681907654,
      0.49989429116249084,
      0.4999188184738159,
      0.499951034784317,
      0.4999063014984131,
      0.4999704658985138,
      0.49989286065101624,
      0.49994614720344543,
      0.4999474883079529,
      0.49993112683296204,
      0.4999925494194031,
      0.4999019503593445,
      0.4999222755432129,
      0.4998788833618164,
      0.49993905425071716,
      0.49998709559440613,
      0.499946266412735,
      0.4999845325946808,
      0.4999369978904724,
      0.49987536668777466,
      0.49988967180252075,
      0.4999432861804962,
      0.49962159991264343,
      0.4997718930244446,
      0.4999266564846039,
      0.49991950392723083,
      0.49988847970962524,
      0.49979928135871887,
      0.49995601177215576,
      0.49993282556533813,
      0.49989548325538635,
      0.4999864101409912,
      0.4998694956302643,
      0.49980485439300537,
      0.49987268447875977,
      0.49957993626594543,
      0.49970465898513794,
      0.49945685267448425,
      0.4991293251514435,
      0.49994927644729614,
      0.4993559420108795,
      0.49981600046157837,
      0.4999449551105499,
      0.49980005621910095,
      0.4998260736465454,
      0.499999463558197,
      0.49983927607536316,
      0.4998086094856262,
      0.49992573261260986,
      0.4997013509273529,
      0.499984472990036,
      0.4998457729816437,
      0.49975690245628357,
      0.499927282333374,
      0.4996919631958008,
      0.49954190850257874,
      0.4999297559261322,
      0.49983400106430054,
      0.49962443113327026,
      0.49986639618873596,
      0.4998340904712677,
      0.49982818961143494,
      0.4998663663864136,
      0.4999960660934448,
      0.4999583065509796,
      0.4999963343143463,
      0.4999125301837921,
      0.4999386668205261,
      0.4998648464679718,
      0.49996355175971985,
      0.49997344613075256,
      0.49978721141815186,
      0.4998053014278412,
      0.4998681843280792,
      0.4999617040157318,
      0.4998161792755127,
      0.49983009696006775,
      0.49995243549346924,
      0.4999139606952667,
      0.4998367726802826,
      0.4999223053455353,
      0.4999094605445862,
      0.4998997747898102,
      0.4999113380908966,
      0.4999731481075287,
      0.4999527335166931,
      0.49991655349731445,
      0.4999461770057678,
      0.49981778860092163,
      0.4998774230480194,
      0.49988389015197754,
      0.49993574619293213,
      0.49993428587913513,
      0.49993953108787537,
      0.49970024824142456,
      0.4999050498008728,
      0.49978509545326233,
      0.4999516010284424,
      0.4998894929885864,
      0.4999440312385559,
      0.4998508095741272,
      0.49998387694358826,
      0.49976593255996704,
      0.4998567998409271,
      0.49990513920783997,
      0.4999534487724304,
      0.49986910820007324,
      0.49994751811027527,
      0.49973276257514954,
      0.49989035725593567,
      0.4999099373817444,
      0.4997965693473816,
      0.49984148144721985,
      0.4999731779098511,
      0.4999402165412903,
      0.49991121888160706,
      0.4999080002307892,
      0.4999714493751526,
      0.4999440908432007,
      0.499955952167511,
      0.4999004602432251,
      0.4999151825904846,
      0.49994128942489624,
      0.49998489022254944,
      0.4998772442340851,
      0.4999486207962036,
      0.4998486638069153,
      0.4998105764389038,
      0.49981334805488586,
      0.4998736083507538,
      0.4999580979347229,
      0.4999329149723053,
      0.4998382329940796,
      0.49988019466400146,
      0.49962225556373596,
      0.49978435039520264,
      0.4999730885028839,
      0.4999403953552246,
      0.4998919367790222,
      0.49979501962661743,
      0.49988824129104614,
      0.4998798668384552,
      0.49996018409729004,
      0.49991756677627563,
      0.4998432695865631,
      0.49993896484375,
      0.49990588426589966,
      0.499941349029541,
      0.49991559982299805,
      0.4999393820762634,
      0.49996691942214966,
      0.4999326467514038,
      0.49990853667259216,
      0.49988046288490295,
      0.49992480874061584,
      0.49997350573539734,
      0.4999624192714691,
      0.49995750188827515,
      0.49995356798171997,
      0.49998074769973755,
      0.4999282956123352,
      0.49971404671669006,
      0.4999050199985504,
      0.4998253881931305,
      0.49995264410972595,
      0.49991533160209656,
      0.499896377325058,
      0.49985089898109436,
      0.49993640184402466,
      0.49977952241897583,
      0.49986347556114197,
      0.49991947412490845,
      0.49984729290008545,
      0.4998989403247833,
      0.49989229440689087,
      0.49994805455207825,
      0.49995824694633484,
      0.4999766945838928,
      0.4999224841594696,
      0.4998161792755127,
      0.4999106824398041,
      0.4999438226222992,
      0.49994781613349915,
      0.49996620416641235,
      0.4999312460422516,
      0.4998953640460968,
      0.4997231662273407,
      0.49988266825675964,
      0.499888151884079,
      0.4998995363712311,
      0.49988341331481934,
      0.4999305009841919,
      0.49988213181495667,
      0.4998762309551239,
      0.49984291195869446,
      0.49997684359550476,
      0.49995213747024536,
      0.49999484419822693,
      0.49985918402671814,
      0.4998849034309387,
      0.49980098009109497,
      0.49985867738723755,
      0.4998428225517273,
      0.49989381432533264,
      0.49990394711494446,
      0.4999062120914459,
      0.49987518787384033,
      0.4998421370983124,
      0.4999037981033325,
      0.49969592690467834,
      0.49994131922721863,
      0.49989011883735657,
      0.4998556673526764,
      0.4998179078102112,
      0.4998915493488312,
      0.49994832277297974,
      0.4999958872795105,
      0.4999329745769501,
      0.49987295269966125,
      0.49985483288764954,
      0.49995946884155273,
      0.49991241097450256,
      0.49998190999031067,
      0.4999266564846039,
      0.4998900592327118,
      0.4999355375766754,
      0.4999764561653137,
      0.4999549388885498,
      0.49990585446357727,
      0.4999406039714813,
      0.4998747706413269,
      0.4999640882015228,
      0.49994519352912903,
      0.4998343586921692,
      0.49994346499443054,
      0.4997722804546356,
      0.4999087154865265,
      0.49996060132980347,
      0.4998844265937805,
      0.49992796778678894,
      0.4999697804450989,
      0.49987730383872986,
      0.4997175633907318,
      0.4999130964279175,
      0.4998610317707062,
      0.49988117814064026,
      0.49984031915664673,
      0.49989861249923706,
      0.49992769956588745,
      0.499960720539093,
      0.49987903237342834,
      0.499839186668396,
      0.49995914101600647,
      0.49980151653289795,
      0.49998798966407776,
      0.4998475909233093,
      0.4999091327190399,
      0.49994197487831116,
      0.49992477893829346,
      0.4998991787433624,
      0.4999437630176544,
      0.4999525547027588,
      0.4998999834060669,
      0.49993547797203064,
      0.4998963177204132,
      0.4999958574771881,
      0.4999293088912964,
      0.4999304413795471,
      0.49992048740386963,
      0.49995848536491394,
      0.49991288781166077,
      0.4999788999557495,
      0.49999427795410156,
      0.49987855553627014,
      0.4998525381088257,
      0.4998607337474823,
      0.4998009204864502,
      0.4999620318412781,
      0.499857097864151,
      0.49977466464042664,
      0.4999582767486572,
      0.4999908208847046,
      0.4998711347579956,
      0.49997109174728394,
      0.49986034631729126,
      0.49995094537734985,
      0.4999895691871643,
      0.49998563528060913,
      0.49985766410827637,
      0.49990689754486084,
      0.4997992515563965,
      0.49989721179008484,
      0.4997261166572571,
      0.4998905658721924,
      0.49990639090538025,
      0.49981996417045593,
      0.49970579147338867,
      0.499891996383667,
      0.49988389015197754,
      0.49994608759880066,
      0.4999254047870636,
      0.49984151124954224,
      0.4999064803123474,
      0.499789834022522,
      0.49986153841018677,
      0.49988189339637756,
      0.499869704246521,
      0.4999026358127594,
      0.499895304441452,
      0.4999617636203766,
      0.4999200999736786,
      0.49985378980636597,
      0.49995577335357666,
      0.49986594915390015,
      0.49995777010917664,
      0.4999644458293915,
      0,
      0
    ]
  },
  "pitch": {
    "average_pitch_height": 0.0983092172286523,
    "pitch_range": 1,
    "melody_contour_type": "jagged",
    "interval_sharpness": 0.438896056635237,
    "repetition_score": 0.695085775656965,
    "analyzed_at": "2026-03-22T16:20:54.186441+00:00",
    "pitch_contour_hz": [
      106.471829495277,
      238.467138444636,
      274.523737337553,
      274.004596639477,
      176.157084751862,
      230.943768948425,
      252.950800884723,
      228.331555983456,
      267.958133834413,
      204.849153560007,
      89.3020819787737,
      48.3277649595789,
      178.035257785486,
      270.089742251468,
      332.455434776068,
      187.274833133916,
      199.362059430084,
      300.279006609718,
      54.8806424735416,
      286.437717147548,
      319.704312215184,
      258.632162518051,
      303.342920440702,
      249.453030947905,
      219.356899171695,
      296.596420090856,
      277.774122650138,
      224.659301361989,
      244.159905094486,
      253.349509561389,
      238.746610620546,
      224.99259740351,
      179.920428314938,
      80.6314587834728,
      35.5057491020843,
      78.3715446104073,
      152.64092513055,
      325.550762397166,
      178.183023439825,
      87.1469867658457,
      182.465755307618,
      110.086760063838,
      69.2525074656723,
      146.518263736748,
      128.232544118519,
      65.2391547504041,
      25.1001313398714,
      78.6454305655577,
      81.9968926624524,
      84.429129955102,
      85.9053431164035,
      78.2256442049253,
      88.1093126252977,
      88.1468930552651,
      60.792441354755,
      31.7539283696393,
      0,
      262.964123609754,
      325.79818006542,
      120.28076578113,
      28.7561762279867,
      91.8145496673919,
      76.3772541471637,
      196.04885916529,
      85.0966691600392,
      113.970016594718,
      131.759268575227,
      73.9509314722324,
      34.0834801113724,
      32.0179084272729,
      68.5147457099247,
      24.90829133254,
      62.3571127922464,
      49.8631654853117,
      0,
      22.7156310246874,
      51.2301149562209,
      54.1904792319121,
      45.0367284785845,
      96.9164844777352,
      358.198973498373,
      49.6746326861143,
      60.1926262302163,
      17.6863995603897,
      72.7910214919448,
      55.6598178072496,
      76.9312301103404,
      88.0939324499641,
      36.0202898253236,
      70.6564524861423,
      39.0381562634962,
      71.3981434480442,
      62.3357181742728,
      0,
      0,
      9.46626966443522,
      60.2144510001807,
      231.81154562312,
      160.140808926786,
      3.59680776915522,
      55.3473704375182,
      65.4548270426052,
      86.1630423354009,
      46.3527132174899,
      21.4156429161128,
      0,
      33.3985194757997,
      69.0582434644244,
      52.511711681934,
      75.0358822694142,
      57.7221053258991,
      44.7335679859469,
      78.9332478887646,
      67.9349581267113,
      37.9548705369303,
      40.4539893159326,
      0,
      10.593081270356,
      92.3065001411831,
      80.0440233774948,
      0,
      22.9753353494691,
      0,
      63.446157313954,
      64.7915410057818,
      83.1785357418651,
      72.1634555315552,
      36.5765975213523,
      0,
      30.9141745173697,
      67.6141361577377,
      52.4013775678642,
      66.3118826944138,
      86.9432552019526,
      38.795835879273,
      44.2577800679879,
      56.0021096606588,
      40.5440598677228,
      74.6791073024568,
      4.35211614073584,
      35.0173114125285,
      75.3323050003244,
      31.591635026196,
      0,
      55.8987902442535,
      52.102541246786,
      22.4764333513096,
      60.2770427432171,
      34.5157888230511,
      18.8234959262785,
      14.5722709188356,
      49.3894626479132,
      66.8350698869523,
      84.0803700021787,
      61.9267500897985,
      33.1202849524323,
      72.0106280704332,
      63.9065859349557,
      49.9432279947432,
      66.6035450483766,
      54.1770430509644,
      32.6982468309822,
      42.6854379082879,
      21.9046145677328,
      73.374056379398,
      23.5954014015423,
      0,
      38.0411601908068,
      56.1297032009371,
      68.642594359841,
      58.7270527334112,
      46.4285714285714,
      3.92234668517424,
      77.2367681327402,
      67.4813257698084,
      53.8575230887894,
      79.2514235617688,
      97.1275216583717,
      55.2155633842666,
      73.5401665040115,
      86.1320286019376,
      71.5561880124211,
      36.2879554326516,
      70.893296979808,
      0,
      0,
      0,
      53.6191860139093,
      65,
      46.5541890222227,
      57.6842117354273,
      76.6922032290662,
      81.4828880425696,
      78.8234924179859,
      70.7171340697791,
      0,
      0,
      0,
      62.9780665500462,
      69.5274891387182,
      76.0555639844576,
      79.8652153643427,
      82.6554347445654,
      44.930669613274,
      70.9130927956844,
      63.1787393195827,
      52.6190476190476,
      53.0529685185238,
      0,
      45.7032489889487,
      65.8823664938964,
      0,
      9.50275756854148,
      67.3820058770562,
      10.2241366934018,
      37.1068468852109,
      77.7357191842246,
      84.5980182886567,
      13.3851036635598,
      0,
      7.49043959992895,
      72.2096919349318,
      70.1859279214828,
      91.2377536999914,
      80.9969998521423,
      65.9041441386672,
      46.8673020452893,
      74.1051497503202,
      61.0509662216644,
      44.2535955079415,
      71.5314796087485,
      49.1669590220299,
      66.9011625257466,
      87.2409925320958,
      82.0853554701636,
      23.887453286974,
      73.2432098336046,
      27.5283788428218,
      75.0634206422836,
      28.9251303438246,
      0,
      0,
      0,
      44.6470453410349,
      33.6913645434634,
      91.7147866982881,
      140.491257462727,
      95.8519184024651,
      88.8795437764102,
      47.8825780030367,
      42.4093706644504,
      359.74853996316,
      238.630479064463,
      71.158863563886,
      35.8153244480393,
      12.654116767275,
      87.1350158106575,
      0,
      18.6253240375731,
      45.4381983628285,
      19.5310382902484,
      56.3895898541296,
      450.53394483368,
      199.193283948798,
      614.289166091928,
      202.071381047588,
      66.0753939352076,
      7.13550801450656,
      84.6872057591795,
      0,
      36.8876205890444,
      87.1549609908013,
      58.6252314076463,
      71.4645874804921,
      91.2675078862853,
      87.7290494755796,
      97.1304789695468,
      79.8361096877851,
      88.8084908491208,
      28.3857847417883,
      94.6906157145677,
      229.26631283827,
      142.015827216852,
      0,
      0,
      66.8618930814788,
      3.0952380952381,
      0,
      24.7619047619048,
      0,
      71.133835065438,
      65.6114701258765,
      59.2006143451244,
      75.1389720381924,
      54.7801295857663,
      64.2155268080158,
      77.8939794238906,
      68.8497211406792,
      28.2383065184993,
      75.9013023455997,
      73.6434984292298,
      0,
      39.8920747712275,
      70.6492199541709,
      9.28571428571429,
      41.3567808801378,
      12.4710211241095,
      32.7579403594928,
      58.9962182990207,
      33.971121560349,
      0,
      0,
      0,
      43.6057703909927,
      72.1673100916444,
      94.6466468288007,
      9.96974363458307,
      77.34451015423,
      73.9213322550842,
      87.4983345388507,
      66.9053974169488,
      41.84180402828,
      69.9423564864419,
      75.8047055645879,
      58.8939662851913,
      80.8160063278304,
      79.3039221042532,
      36.9518152370324,
      48.0518190193823,
      66.3482648455532,
      64.9691417576983,
      38.2662779023252,
      40.839688177038,
      70.4042524753426,
      82.6423561681399,
      46.7366357409579,
      66.16314448139,
      90.408455774492,
      21.8637486385648,
      9.41112684040478,
      77.4377540932164,
      312.693811824754,
      278.17826448621,
      35.2793241211719,
      0,
      37.1428571428571,
      74.932988779685,
      26.7812389615755,
      98.6287355840844,
      58.2107505473522,
      15.9354304014298,
      76.3745192668432,
      93.9166281195896,
      33.5114784027782,
      58.7662657080375,
      14.739120032217,
      0,
      157.684361330406,
      103.215940689315,
      72.7347939479251,
      70.560707504932,
      75.2150266484702,
      126.154302951217,
      38.9682177142089,
      58.1746352192972,
      33.0617953885915,
      47.218512125889,
      0,
      0,
      0,
      55.9631141563564,
      22.5878546396275,
      0,
      0,
      36.3384641046148,
      18.5714285714286,
      92.1513271215878,
      89.3209248934585,
      77.3680992401084,
      75.6874238714318,
      14.5713327536781,
      0,
      75.325438121963,
      76.6372557773667,
      23.1986729718524,
      0,
      72.3173212603754,
      70.5132488789481,
      30.7174085083911,
      0,
      6.61568131765288,
      45.0451262996063,
      0,
      0,
      16.4537736395811,
      0,
      0,
      0,
      27.8694341013307,
      91.815137741679,
      76.9222590805983,
      7.91299076669521,
      52.9460690666155,
      59.8976236568807,
      0,
      0,
      157.888088166472,
      189.545451366259,
      91.5714157331532,
      44.0468230352677,
      42.9551959474344,
      28.6639999436455,
      0,
      15.5299820718205,
      3.11316862711478,
      0,
      14.4248096395843,
      86.9475602686086,
      6.6437555380511,
      3.0952380952381,
      46.934907349037,
      32.771400908716,
      25.4570351406695,
      59.8002852153743,
      79.3295899136596,
      48.8452986150699,
      25.2286906120926,
      16.8574646220266,
      77.3825074957076,
      99.6843047890185,
      23.7006000914688,
      43.0130598978392,
      6.41263214594567,
      0,
      0,
      13.883095307613,
      65.2029495922206,
      99.9984801488676,
      78.0159848785397,
      22.1817883191056,
      81.6860840426582,
      72.7583737523291,
      40.2396822923929,
      0,
      0,
      0,
      0
    ],
    "pitch_contour_midi": [
      25.3251845130497,
      48.0320740544739,
      60.7254305301876,
      58.5639020921341,
      37.9760601694203,
      53.8690403211327,
      59.4016210065858,
      47.4511216736066,
      60.3682876730945,
      50.0456071214529,
      24.0251845133007,
      11.3223042280108,
      42.2562599026922,
      58.4019973302425,
      64.1444781487187,
      40.7328267026269,
      43.6038789500938,
      62.306382910891,
      11.7461137517505,
      61.5206686252908,
      63.4349543392955,
      51.1031263019463,
      55.8741785491312,
      55.0404688923716,
      44.7848313308677,
      62.106382910919,
      58.7639020921074,
      49.3316977307561,
      56.7781878066929,
      59.4111448161107,
      50.2126501115675,
      49.4174120164465,
      42.3753075217208,
      21.4588941705314,
      17.1823273728172,
      38.0686640031485,
      41.2745548763423,
      63.7825733868621,
      40.2233028931762,
      23.8394702276272,
      44.5273121502758,
      31.2478650655283,
      16.7644087230064,
      39.7895932365196,
      40.5745548758658,
      32.0269358314493,
      11.7358372960234,
      38.0734259079386,
      39.8682876795769,
      40.3968591078537,
      40.701621012455,
      36.9214212787957,
      41.1254305360572,
      41.1159067265464,
      31.9170356995066,
      17.2962367645168,
      0,
      44.7280647973202,
      54.6031263014747,
      32.9372122874667,
      14.5636560778765,
      41.8016210119321,
      34.222173925576,
      38.1808220744536,
      40.5159067268486,
      35.9463597721526,
      26.5537559415193,
      37.9873352997427,
      18.8101461553941,
      15.3588941726223,
      36.7444781576174,
      13.7112751259804,
      32.2694166516825,
      22.233955677288,
      0,
      12.2354609731716,
      27.7892169183856,
      28.4939788227193,
      17.2108988017846,
      16.107642189504,
      60.7690403201642,
      19.1867129542966,
      32.8214212811835,
      9.0790707629485,
      33.5126501164109,
      25.6427268397097,
      38.7159067278627,
      41.0778114884818,
      16.1446084579438,
      33.1697929736901,
      17.87280356295,
      32.14635977311,
      29.1848313354159,
      0,
      0,
      5.17506150555351,
      32.8404689002105,
      40.9855839785256,
      28.3585178459409,
      1.8329570097205,
      29.7507453565968,
      32.0793167837982,
      40.7301924410247,
      21.5768128204589,
      9.88383266726614,
      0,
      17.6914748595123,
      36.9397162526961,
      28.0987407277185,
      38.2873352995422,
      31.2837023665047,
      23.271298269603,
      39.0778114896059,
      36.6540019671666,
      20.7192936412518,
      22.2760601749587,
      0,
      4.30400925722801,
      41.8254305357688,
      37.2261831834364,
      0,
      12.2973657350387,
      0,
      33.6118974711692,
      30.8701692975472,
      40.0682876794951,
      35.5738022319439,
      17.3489940394257,
      0,
      16.1204226115392,
      36.5682876815104,
      24.9998696971771,
      27.51415541029,
      40.7540019648927,
      20.9192936411302,
      21.0958604397896,
      30.8408452239375,
      22.2998696987523,
      38.1159067282648,
      1.99009986678001,
      19.0434794885789,
      38.3254305376263,
      15.2541322679253,
      0,
      25.7236792206018,
      25.9994933740189,
      12.1735562113075,
      32.8547546144879,
      18.924431869603,
      10.3215515825546,
      7.36992327695759,
      26.3562599084344,
      27.623679219759,
      39.1400925740667,
      27.9994933729747,
      17.6438558119109,
      34.3741785552592,
      29.3943551448925,
      27.451121680516,
      36.2873353007546,
      28.4320740608866,
      17.5152843834351,
      22.8189173174793,
      12.0259371637854,
      37.8730495855172,
      10.2695469528068,
      0,
      19.8053842499954,
      28.9082645367804,
      35.8639020996592,
      31.4932261759199,
      25.6372122898319,
      1.90438558110921,
      38.7873352992534,
      36.4778114911259,
      28.4273121560851,
      38.1115211460588,
      42.8159067257241,
      27.7229265742797,
      35.9023736603162,
      38.4452308018572,
      34.4646547455879,
      16.1922275055413,
      30.8419741917315,
      0,
      0,
      0,
      27.3419741935615,
      35.8920972057647,
      25.6705456231428,
      30.2983644038886,
      35.450369030822,
      36.2837023637806,
      39.163525775213,
      34.2741785552212,
      0,
      0,
      0,
      33.4880879474422,
      37.0540019669111,
      36.4357069933583,
      33.5463597725117,
      38.673425907742,
      22.2526269737194,
      35.2928498511522,
      34.5019973386201,
      29.0555072618095,
      28.2130264419446,
      0,
      22.4907222116406,
      33.1217976035372,
      0,
      5.184585315071,
      36.5063829196475,
      5.36553769590797,
      19.5768128215662,
      37.9258068603729,
      40.4301924411693,
      7.09373280093059,
      0,
      3.7325806860696,
      37.6159067285184,
      37.2206686334706,
      41.7159067262481,
      38.4686640030112,
      36.1301924437005,
      22.695484116319,
      38.0397162520893,
      33.0499927096009,
      24.1661600417817,
      35.3642784225737,
      26.3038789560848,
      35.4019973380637,
      40.8111448220034,
      38.6877116219549,
      10.2552612385648,
      36.7924735277576,
      14.3541322684356,
      36.1404688983256,
      13.6211752580945,
      0,
      0,
      0,
      18.8632797529789,
      16.7394702302314,
      40.5781878114655,
      25.120798931852,
      32.2276884774485,
      41.2778114883616,
      22.9811984018352,
      20.6339556781617,
      60.8309450820627,
      38.9097698262116,
      12.603256608778,
      19.257765202719,
      6.90801851533626,
      40.8349543457812,
      0,
      10.2691706302089,
      24.4709219463443,
      10.5025039633893,
      30.9408452238719,
      45.1954841114356,
      32.4390939027939,
      60.5558835771359,
      32.558141521829,
      28.7709219440344,
      3.64210449565163,
      39.3115211453835,
      0,
      15.0068895431887,
      37.3503690299338,
      26.2379649346398,
      34.3884642694707,
      41.7063829167401,
      41.0016210123385,
      42.777811487663,
      34.7650310682273,
      38.8071355636535,
      12.3453611052585,
      18.3120277703841,
      40.8665363594922,
      25.192227503272,
      0,
      0,
      32.4031263074181,
      1.70914748598879,
      0,
      13.6731798879103,
      0,
      36.4115211469728,
      34.1404688994114,
      30.65074535606,
      38.3444781566317,
      29.6078882138312,
      31.7507453554433,
      38.915906727758,
      36.8730495860813,
      15.4823273738325,
      38.25400196634,
      35.9166593745957,
      0,
      18.0347083247764,
      32.0273121541083,
      5.12744245796638,
      22.4998696986271,
      6.8603994677487,
      17.558141526248,
      28.599117049954,
      16.8251845158865,
      0,
      0,
      0,
      23.0712982696861,
      37.6159067285126,
      42.2730495831695,
      4.20400925726879,
      34.4078882111992,
      36.8972354324853,
      40.8730495838791,
      36.3873353006755,
      22.6332030318679,
      34.9642784228242,
      37.3400925750679,
      30.5602691656493,
      39.5873352987934,
      35.9170356972743,
      17.4537559441177,
      24.0570125548439,
      35.2829497190812,
      34.9448544811981,
      20.8002460221508,
      22.3760601748928,
      36.1591401947912,
      38.8162830504448,
      21.514908058658,
      30.922550250019,
      41.5968591072403,
      9.96954695293874,
      4.10877116207198,
      36.759516516975,
      56.0694166443813,
      50.0701692923005,
      19.1196699647143,
      0,
      20.5097698318655,
      37.116283051406,
      13.0735562108237,
      43.0635257732409,
      26.1760601727575,
      8.66478504891313,
      37.4829497178417,
      42.1968591069839,
      17.7438558118459,
      28.5467360976033,
      7.40325661027411,
      0,
      25.8827036936708,
      18.0501230087389,
      37.7825733950615,
      37.2920972048671,
      36.2404688982376,
      42.2265595045036,
      17.8585178486719,
      26.1665363632395,
      17.6200462881219,
      25.8419741944589,
      0,
      0,
      0,
      29.8840786898568,
      12.2021276398603,
      0,
      0,
      19.3863366312101,
      10.2548849159328,
      32.6280647997095,
      39.9829497165701,
      36.6595165170781,
      36.2928498506176,
      6.24172817164488,
      0,
      37.3019973369639,
      38.4730495852344,
      11.3072658676984,
      0,
      33.1697929738648,
      31.9844550112802,
      16.0632797544351,
      0,
      3.52781878142967,
      22.2764364975173,
      0,
      0,
      8.79811838215926,
      0,
      0,
      0,
      12.2596468195802,
      41.8206686309621,
      36.6595165170246,
      3.82305687649654,
      24.0050079251163,
      27.5185409923061,
      0,
      0,
      28.2537559411914,
      42.3225502466911,
      41.787335297641,
      21.1291937730613,
      21.8954841167358,
      15.5870892785287,
      0,
      8.56002314422004,
      1.71390939074748,
      0,
      7.33182803888701,
      40.8682876790566,
      3.53258068618997,
      1.70914748598879,
      25.770545623076,
      17.5581415262502,
      13.854132268743,
      28.7657837165328,
      37.1357069929756,
      22.0672890106897,
      11.7596468198217,
      8.8981183820963,
      38.7730495849958,
      42.0067592393822,
      11.4025039628883,
      22.9093935078919,
      3.47543782908307,
      0,
      0,
      7.21278041990587,
      33.9595165186178,
      43.2540019636541,
      34.379316782724,
      12.0973657351671,
      39.7301924415957,
      33.536459640201,
      18.1108988009251,
      0,
      0,
      0,
      0
    ],
    "pitch_confidence_curve": [
      0.140098521658824,
      0.167260936435571,
      0.346355936926802,
      0.639977803306532,
      0.290361232287714,
      0.263480344932455,
      0.311600797216705,
      0.228160026808099,
      0.494672151025599,
      0.495740640285095,
      0.0903424408809789,
      0.0103205030402225,
      0.0649165026601353,
      0.493163001967916,
      0.318475578819224,
      0.251381173173961,
      0.251306497818325,
      0.420775926685399,
      0.0103640073480555,
      0.745030292306971,
      0.115314953000943,
      0.237721067684433,
      0.200642806914979,
      0.222156536575988,
      0.116295211598803,
      0.211298670690346,
      0.332266523060811,
      0.389594436507965,
      0.413734860497058,
      0.250867808845456,
      0.168764046821503,
      0.478099662609071,
      0.399428129450715,
      0.0295361532326538,
      0.0142988801045984,
      0.0759518136444311,
      0.24136544527988,
      0.244595450066803,
      0.351451057610307,
      0.153519520599447,
      0.234674108946151,
      0.16962002465864,
      0.116948027095827,
      0.0188703447451742,
      0.0105712388699936,
      0.0132778367581286,
      0.049899317379971,
      0.130703722329277,
      0.110752237253213,
      0.155502193648451,
      0.167269310782252,
      0.112977408475696,
      0.126461458826677,
      0.0736425952712696,
      0.0102300815335236,
      0.0161284548586201,
      0.0122667658813778,
      0.173122453491333,
      0.0522232613753255,
      0.024331457531592,
      0.105588699744164,
      0.0883189930196665,
      0.063135948064909,
      0.0903333729328931,
      0.0441694728224442,
      0.0597060081735069,
      0.160908235652154,
      0.0126245036359387,
      0.0374250379806978,
      0.0505452185059046,
      0.0181715283139007,
      0.0485655179442001,
      0.0486555946240158,
      0.0520849988961352,
      0.0100167081776811,
      0.0278465265102372,
      0.0737252201212681,
      0.0224155694846684,
      0.0388614684657267,
      0.130200581085176,
      0.21204340580832,
      0.0122728556457678,
      0.0100127873767254,
      0.0724109215718431,
      0.0386505533826653,
      0.0176386368034702,
      0.0683760187590835,
      0.0188075235069088,
      0.0106985539302223,
      0.0344334667185704,
      0.0135488513324737,
      0.0107300579198442,
      0.0187932109187041,
      0.0110672113482541,
      0.0108836325419984,
      0.0140200653898233,
      0.0100691851268591,
      0.0484841688240821,
      0.0492145170563737,
      0.014912705384424,
      0.0267957857998087,
      0.0295530008660168,
      0.0164480593894206,
      0.0100453052533122,
      0.0101898353819735,
      0.0106474919794555,
      0.0115854269382718,
      0.0631324133525832,
      0.0412652062513727,
      0.0530863870591299,
      0.0115772947131239,
      0.0185500718916469,
      0.0803658792405738,
      0.0100849812117815,
      0.0121621363099619,
      0.011283600075224,
      0.0100780500238934,
      0.0131630179401831,
      0.0110064258363185,
      0.0144599262948684,
      0.0217817495693121,
      0.0119665416006195,
      0.0395431109746467,
      0.0198076821435115,
      0.030213888962493,
      0.0165158652803228,
      0.0105264845265146,
      0.0103233924587848,
      0.0107604976603131,
      0.0107036917465539,
      0.0370220742020097,
      0.0154310606527211,
      0.112896594091136,
      0.0510694084665292,
      0.0180074998984884,
      0.0460320441914004,
      0.0102524917719298,
      0.0100839435076484,
      0.0122172191986858,
      0.0293732919130471,
      0.0112701446697465,
      0.0330544708560204,
      0.010105492815144,
      0.0102502590011067,
      0.0221878619716026,
      0.0209290473176492,
      0.0835802365541411,
      0.0101090860857993,
      0.0335346630701035,
      0.0379057466749145,
      0.011092704372689,
      0.0100448065916362,
      0.227948640485808,
      0.0344445716034872,
      0.0118397056408553,
      0.0352088870727031,
      0.0101409260229964,
      0.0100463089738708,
      0.0138268622710964,
      0.0300557047127024,
      0.0605738437673263,
      0.0246492173115086,
      0.0406599309275098,
      0.0360746214127274,
      0.0210685226417296,
      0.0103090579291159,
      0.0100003017132376,
      0.0431970776588651,
      0.0384990127926227,
      0.0785573828324679,
      0.0102253363521707,
      0.0100109466188089,
      0.0113490461980624,
      0.0828285031362296,
      0.0106855404762174,
      0.0594034758840732,
      0.0291915984175116,
      0.012419297471256,
      0.0429947505987328,
      0.0169415550342195,
      0.0101093437705999,
      0.0434053397977242,
      0.010159220120648,
      0.0103667540237774,
      0.010027480989838,
      0.0100810381191406,
      0.0104953139374612,
      0.0100400094025721,
      0.0100024998323089,
      0.0100378956928978,
      0.0105430810433275,
      0.0347472185183222,
      0.0261749540121724,
      0.0152981194489982,
      0.0102842227751596,
      0.0123250256235592,
      0.0100044403117054,
      0.0259676442955761,
      0.0354130432310388,
      0.103693078025155,
      0.0566621683336827,
      0.185835759853272,
      0.141222541640743,
      0.0182918148727348,
      0.0105811372771173,
      0.0100588277312545,
      0.0100525179964904,
      0.0100446650486163,
      0.0100009972437693,
      0.0100031816107284,
      0.0216338733154175,
      0.0103521349913691,
      0.0107738751963718,
      0.0103233112481799,
      0.0225852645349497,
      0.0365793435799346,
      0.068102257113349,
      0.0104016413904818,
      0.0100384539877719,
      0.0101107327743342,
      0.0208928615514923,
      0.0536098973794111,
      0.137574287280882,
      0.0389142341041331,
      0.0381980105268211,
      0.0362268121084278,
      0.0417641839005411,
      0.0118814904042312,
      0.0100004147361109,
      0.0100032525078835,
      0.0100006851770335,
      0.0100199878927218,
      0.0246825441993099,
      0.0109500881268917,
      0.0100589412184352,
      0.0100035440133663,
      0.029670561474492,
      0.0125292122125708,
      0.0126828659662543,
      0.010220872835806,
      0.0126849526075013,
      0.0200391298900807,
      0.0409544888625313,
      0.0573236387344744,
      0.0211774748300377,
      0.0103061748271744,
      0.11592927604877,
      0.0651255149619413,
      0.0249989961475529,
      0.100104882080903,
      0.0172023092905289,
      0.188175379368393,
      0.0554616009228367,
      0.0853171516335821,
      0.0121636575328291,
      0.0461894174902239,
      0.0102783184008095,
      0.0100167349742095,
      0.0100298661936888,
      0.0527921289062418,
      0.0262473863994092,
      0.0182809071025595,
      0.0268438562560115,
      0.0219931452374788,
      0.0502408086649695,
      0.0627521539911827,
      0.017072678613619,
      0.0438393731584419,
      0.0341015470332202,
      0.0174903434666502,
      0.0100015144982708,
      0.0503163280835704,
      0.0116941916355335,
      0.0377985777376507,
      0.127240353387043,
      0.0433323242949781,
      0.0907257088069377,
      0.086098062738146,
      0.0301924034527342,
      0.0254492511175453,
      0.0621228964516502,
      0.117853103274983,
      0.0847552513723373,
      0.0257121468427931,
      0.0126884093651927,
      0.0365837805823903,
      0.0138477636997496,
      0.0100000917198195,
      0.0114827261379647,
      0.0589490746764326,
      0.0400307510834888,
      0.0204326329754696,
      0.0266443741843266,
      0.0303275600110812,
      0.0218799736582507,
      0.0529225675931338,
      0.0123370738021399,
      0.0100130954795964,
      0.0136942951308522,
      0.0100022771099469,
      0.0103695947703863,
      0.010000641103655,
      0.0100864894282022,
      0.0104306449235411,
      0.0100854548197918,
      0.0143462231016319,
      0.0266476948466575,
      0.0133057123914056,
      0.0208331493416633,
      0.0113635745778111,
      0.010045538959919,
      0.0100000263803266,
      0.0110240373917833,
      0.0229681460219285,
      0.0734865666846186,
      0.0280592272941592,
      0.010109681214018,
      0.0307367286129307,
      0.0124054677402591,
      0.0212398748775654,
      0.010012367410118,
      0.0100008094093527,
      0.0100005254261702,
      0.0100661378430335,
      0.0100007926466704,
      0.0100118852749163,
      0.0101118815353917,
      0.0100006461352812,
      0.0105316939320583,
      0.011362923894178,
      0.0109290905266152,
      0.0116785401756212,
      0.0100011527021662,
      0.01147449188518,
      0.0100000972132361,
      0.0100020105956913,
      0.0100173508420947,
      0.0109848904514963,
      0.0121087356403777,
      0.0125885071993471,
      0.0360226435613502,
      0.330572205391795,
      0.253878147937443,
      0.0100103146068595,
      0.0103955546684919,
      0.010004798471792,
      0.0100009101168257,
      0.010001731138552,
      0.0100329271623914,
      0.0227732368389884,
      0.010034617825513,
      0.0188834518887425,
      0.0122027647864161,
      0.0321517634146072,
      0.0142713329150397,
      0.0976207757221812,
      0.0112709703096436,
      0.0454139325035029,
      0.0745014294620474,
      0.0327478616422943,
      0.0211722388743429,
      0.0141647932406246,
      0.0883883733471634,
      0.0618945085394212,
      0.0528534387895999,
      0.054541025025655,
      0.0100641036546493,
      0.0170255808522801,
      0.0215023204123807,
      0.0131423126007378,
      0.0120839300397026,
      0.0144200051230954,
      0.0434147813442992,
      0.0113069610889236,
      0.0101669672151002,
      0.0153522507527913,
      0.0377829448426371,
      0.0325259376942262,
      0.0102088327636719,
      0.010009396218765,
      0.01010713573131,
      0.0105494294399103,
      0.0328012836629375,
      0.0250514683085417,
      0.0102850680698994,
      0.0103821998969221,
      0.058799978082598,
      0.0155071515643219,
      0.0100423196274784,
      0.0114343057174604,
      0.0111576305807622,
      0.010000113293647,
      0.0180722853030928,
      0.0103381046784225,
      0.0315324375926974,
      0.012722765289814,
      0.02240528633485,
      0.0106080258882813,
      0.0105809053657922,
      0.0223744043549454,
      0.0213823425661592,
      0.0104951749375708,
      0.0102794352047371,
      0.0095266249518628,
      0.011500785796687,
      0.0182321659288651,
      0.118221225726501,
      0.148289544783639,
      0.0594339405007318,
      0.0500687440217836,
      0.123631890656979,
      0.0132105645995571,
      0.0102670323613549,
      0.0214464993275352,
      0.0118799474446808,
      0.0115040070503933,
      0.0355536197737224,
      0.0157361377145256,
      0.010010140533525,
      0.0100006307758788,
      0.01452829204186,
      0.0238069094751434,
      0.0188558633962797,
      0.0763215026113213,
      0.0100550453618906,
      0.00961214708083032,
      0.0100014700379727,
      0.0107112122327517,
      0.100149259316279,
      0.0226714154591286,
      0.0100306928092002,
      0.0100018563731352,
      0.0104076070128647,
      0.0462339812909304,
      0.0428106089886336,
      0.0115677426635246,
      0.0164587405017453,
      0.0357924080735802,
      0.020218539188653,
      0.0100525995384324,
      0.0313674052971517,
      0.0505099630977429,
      0.0389853890814847,
      0.00523809523809524,
      0,
      0,
      0
    ],
    "melody_contour": [
      59,
      61,
      60,
      60,
      61,
      59,
      59,
      61,
      61,
      0,
      0,
      0,
      0,
      64,
      64,
      0,
      61,
      62,
      61,
      63,
      60,
      66,
      63,
      0,
      0,
      59,
      61,
      59,
      59,
      61,
      61,
      0,
      0,
      0,
      0,
      0,
      64,
      61,
      56,
      54,
      55,
      0,
      55,
      55,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      59,
      64,
      67,
      68,
      68,
      67,
      64,
      0,
      64,
      65,
      0,
      0,
      64,
      63,
      0,
      61,
      59,
      0,
      66,
      66,
      66,
      67,
      0,
      66,
      66,
      68,
      68,
      42,
      46,
      61,
      42,
      42,
      0,
      0,
      0,
      64,
      63,
      42,
      65,
      64,
      62,
      64,
      65,
      66,
      66,
      66,
      60,
      60,
      61,
      61,
      59,
      59,
      61,
      61,
      0,
      56,
      0,
      0,
      61,
      64,
      64,
      60,
      61,
      61,
      61,
      62,
      66,
      66,
      71,
      61,
      61,
      59,
      61,
      59,
      0,
      61,
      59,
      59,
      0,
      61,
      64,
      64,
      64,
      67,
      66,
      62,
      0,
      64,
      61,
      49,
      0,
      76,
      76,
      76,
      75,
      73,
      73,
      71,
      0,
      0,
      0,
      44,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      44,
      44,
      69,
      0,
      0,
      0,
      69,
      0,
      45,
      0,
      42,
      0,
      0,
      40,
      0,
      0,
      42,
      0,
      69,
      0,
      0,
      0,
      0,
      74,
      73,
      74,
      74,
      0,
      73,
      71,
      68,
      69,
      0,
      0,
      43,
      44,
      57,
      43,
      45,
      0,
      0,
      0,
      44,
      44,
      0,
      0,
      0,
      79,
      79,
      0,
      0,
      0,
      0,
      73,
      73,
      71,
      0,
      0,
      0,
      0,
      0,
      0,
      44,
      44,
      44,
      44,
      44,
      44,
      45,
      49,
      49,
      66,
      68,
      68,
      68,
      64,
      64,
      66,
      64,
      64,
      66,
      67,
      66,
      67,
      68,
      66,
      65,
      67,
      68,
      66,
      64,
      61,
      56,
      48,
      67,
      68,
      68,
      68,
      66,
      0,
      66,
      65,
      44,
      44,
      42,
      0,
      42,
      42,
      43,
      44,
      44,
      64,
      64,
      66,
      67,
      67,
      68,
      68,
      64,
      68,
      67,
      64,
      61,
      61,
      59,
      0,
      0,
      59,
      62,
      64,
      61,
      59,
      61,
      62,
      61,
      62,
      66,
      66,
      61,
      61,
      61,
      61,
      63,
      59,
      61,
      0,
      56,
      59,
      0,
      42,
      45,
      0,
      61,
      56,
      56,
      61,
      0,
      0,
      53,
      0,
      64,
      64,
      45,
      0,
      0,
      54,
      44,
      0,
      64,
      66,
      0,
      68,
      66,
      61,
      64,
      0,
      59,
      44,
      61,
      65,
      63,
      0,
      52,
      69,
      68,
      68,
      71,
      68,
      66,
      66,
      65,
      66,
      68,
      66,
      65,
      68,
      68,
      67,
      64,
      64,
      66,
      68,
      67,
      65,
      67,
      49,
      66,
      61,
      59,
      63,
      65,
      64,
      61,
      59,
      59,
      63,
      64,
      71,
      71,
      68,
      71,
      71,
      66,
      49,
      50,
      68,
      73,
      0,
      0,
      68,
      0,
      0,
      64,
      67,
      66,
      66,
      66,
      69,
      66,
      64,
      64,
      64,
      64,
      65,
      67,
      0,
      0,
      0,
      67,
      68,
      67,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0
    ]
  },
  "timbre": {
    "spectral_centroid": 0.144179413348366,
    "spectral_brightness": 0.0947565808660553,
    "spectral_flux": 0.324876341114872,
    "harmonic_richness": 0.773429486116216,
    "noise_content": 0.226570513883784,
    "distortion_level": 0.370246827056254,
    "transient_sharpness": 0.770012090816248,
    "warmth_metallic_index": 0.724677707386644,
    "analog_digital_feel": 0.51083852910758,
    "mfcc_mean": [
      0,
      1,
      0.715834612126958,
      1,
      0.577707119917616,
      1,
      0.633727779512659,
      0.962960402901772,
      0.379045756629948,
      0.84161724984747,
      0.469711041373726,
      0.739852992069047,
      0.367815755451278
    ],
    "mfcc_std": [
      1,
      1,
      1,
      0.829080983996483,
      0.76786407614221,
      0.615533283686225,
      0.520694332371682,
      0.576777193668912,
      0.47060749853708,
      0.530962627105653,
      0.455130445399553,
      0.404542574450877,
      0.399220691802585
    ],
    "analyzed_at": "2026-03-22T16:20:54.727222+00:00",
    "spectral_flatness": 0.010342,
    "zero_crossing_rate_curve": [
      0.0609886532738095,
      0.0969354538690476,
      0.10346912202381,
      0.0789155505952381,
      0.0305757068452381,
      0.0816824776785714,
      0.0701032366071429,
      0.0337146577380952,
      0.0481073288690476,
      0.0333193824404762,
      0.0211821056547619,
      0.172293526785714,
      0.209635416666667,
      0.0340634300595238,
      0.0863792782738095,
      0.0492699032738095,
      0.0265764508928571,
      0.0491303943452381,
      0.0890299479166667,
      0.0402715773809524,
      0.0841238839285714,
      0.0563616071428571,
      0.107189360119048,
      0.0966099330357143,
      0.0949823288690476,
      0.108793712797619,
      0.129162016369048,
      0.0419224330357143,
      0.102376302083333,
      0.0653831845238095,
      0.0639183407738095,
      0.0606166294642857,
      0.0425967261904762,
      0.0207403273809524,
      0.141857328869048,
      0.108072916666667,
      0.121396019345238,
      0.127371651785714,
      0.0422944568452381,
      0.0350399925595238,
      0.100818452380952,
      0.0549432663690476,
      0.0924014136904762,
      0.104887462797619,
      0.114676339285714,
      0.0463402157738095,
      0.0509440104166667,
      0.0253673735119048,
      0.017973400297619,
      0.0227632068452381,
      0.0251813616071429,
      0.0381324404761905,
      0.0307849702380952,
      0.0381556919642857,
      0.088774181547619,
      0.0487816220238095,
      0.102260044642857,
      0.102934337797619,
      0.101957775297619,
      0.0610816592261905,
      0.0910295758928571,
      0.0362025669642857,
      0.0582217261904762,
      0.108514694940476,
      0.0275530133928571,
      0.0549897693452381,
      0.14692615327381,
      0.0392950148809524,
      0.0509207589285714,
      0.0512230282738095,
      0.0282040550595238,
      0.0631277901785714,
      0.0809151785714286,
      0.0749162946428571,
      0.0967029389880952,
      0.109607514880952,
      0.0492699032738095,
      0.0854027157738095,
      0.0863560267857143,
      0.0873325892857143,
      0.109072730654762,
      0.0344819568452381,
      0.0339704241071429,
      0.0579194568452381,
      0.0453404017857143,
      0.0494326636904762,
      0.0534319196428571,
      0.0238792782738095,
      0.0520833333333333,
      0.0343191964285714,
      0.0770089285714286,
      0.0675688244047619,
      0.0674060639880952,
      0.104468936011905,
      0.087007068452381,
      0.0634533110119048,
      0.077055431547619,
      0.0954008556547619,
      0.104678199404762,
      0.0998418898809524,
      0.0868675595238095,
      0.0624302455357143,
      0.0641973586309524,
      0.0827985491071429,
      0.0455729166666667,
      0.0679873511904762,
      0.0679175967261905,
      0.034272693452381,
      0.0499906994047619,
      0.0216006324404762,
      0.0455264136904762,
      0.068452380952381,
      0.0348307291666667,
      0.0500139508928571,
      0.0848214285714286,
      0.0478515625,
      0.0884021577380952,
      0.0730794270833333,
      0.0523158482142857,
      0.0745675223214286,
      0.0948660714285714,
      0.064057849702381,
      0.146949404761905,
      0.0775669642857143,
      0.0630580357142857,
      0.0623139880952381,
      0.0791248139880952,
      0.0481770833333333,
      0.0689871651785714,
      0.064546130952381,
      0.0416899181547619,
      0.0809384300595238,
      0.0493629092261905,
      0.0362955729166667,
      0.07568359375,
      0.0700567336309524,
      0.0675920758928571,
      0.0895182291666667,
      0.0642903645833333,
      0.132975260416667,
      0.0737769717261905,
      0.0814267113095238,
      0.0538504464285714,
      0.0791713169642857,
      0.0626395089285714,
      0.0432477678571429,
      0.0571754092261905,
      0.0621279761904762,
      0.0917503720238095,
      0.127557663690476,
      0.0540364583333333,
      0.0447591145833333,
      0.102306547619048,
      0.0463169642857143,
      0.0687779017857143,
      0.0858677455357143,
      0.0621977306547619,
      0.0667317708333333,
      0.0377836681547619,
      0.0217168898809524,
      0.0673828125,
      0.077729724702381,
      0.0352260044642857,
      0.0770321800595238,
      0.0483165922619048,
      0.0727074032738095,
      0.081938244047619,
      0.0473865327380952,
      0.0514322916666667,
      0.0603376116071429,
      0.0588960193452381,
      0.0585704985119048,
      0.0761021205357143,
      0.0177408854166667,
      0.0513857886904762,
      0.0584309895833333,
      0.0318545386904762,
      0.0757300967261905,
      0.0705217633928571,
      0.019135974702381,
      0.0483863467261905,
      0.0461309523809524,
      0.072265625,
      0.0774507068452381,
      0.0618954613095238,
      0.0953311011904762,
      0.1123046875,
      0.0757998511904762,
      0.0325753348214286,
      0.0803106398809524,
      0.0858677455357143,
      0.0748930431547619,
      0.0690801711309524,
      0.053129650297619,
      0.0710797991071429,
      0.0924944196428571,
      0.0540364583333333,
      0.0942615327380952,
      0.0548967633928571,
      0.0384579613095238,
      0.0487583705357143,
      0.033598400297619,
      0.0335286458333333,
      0.0724748883928571,
      0.0476190476190476,
      0.02294921875,
      0.0467587425595238,
      0.029203869047619,
      0.0660342261904762,
      0.0619652157738095,
      0.069428943452381,
      0.0845424107142857,
      0.128696986607143,
      0.101260230654762,
      0.116234188988095,
      0.0899832589285714,
      0.0494559151785714,
      0.096098400297619,
      0.0768229166666667,
      0.0951450892857143,
      0.0841006324404762,
      0.0497349330357143,
      0.0568731398809524,
      0.0460379464285714,
      0.0310407366071429,
      0.0406901041666667,
      0.0757068452380952,
      0.0432710193452381,
      0.0276460193452381,
      0.0628720238095238,
      0.0478050595238095,
      0.0464564732142857,
      0.0529668898809524,
      0.0304129464285714,
      0.0693359375,
      0.0500372023809524,
      0.0486653645833333,
      0.0486653645833333,
      0.0748465401785714,
      0.124209449404762,
      0.142392113095238,
      0.172526041666667,
      0.12544177827381,
      0.111630394345238,
      0.0950985863095238,
      0.1103515625,
      0.104724702380952,
      0.0668247767857143,
      0.0799618675595238,
      0.10546875,
      0.103329613095238,
      0.127790178571429,
      0.126627604166667,
      0.0853097098214286,
      0.0788922991071429,
      0.106329055059524,
      0.0995396205357143,
      0.111421130952381,
      0.120768229166667,
      0.066313244047619,
      0.0806361607142857,
      0.085844494047619,
      0.09326171875,
      0.0947033110119048,
      0.0960053943452381,
      0.106166294642857,
      0.0913318452380952,
      0.083100818452381,
      0.0596865699404762,
      0.0830310639880952,
      0.0496884300595238,
      0.0849609375,
      0.125,
      0.0602446056547619,
      0.0532924107142857,
      0.0751720610119048,
      0.0512927827380952,
      0.0973772321428571,
      0.0638020833333333,
      0.0643136160714286,
      0.073637462797619,
      0.0846121651785714,
      0.0805896577380952,
      0.0954008556547619,
      0.133905319940476,
      0.0681036086309524,
      0.113141741071429,
      0.107491629464286,
      0.0804501488095238,
      0.0790318080357143,
      0.055268787202381,
      0.0652436755952381,
      0.0611746651785714,
      0.0370396205357143,
      0.0500604538690476,
      0.0764276413690476,
      0.0428292410714286,
      0.052734375,
      0.0901925223214286,
      0.0623837425595238,
      0.069731212797619,
      0.0865420386904762,
      0.0618489583333333,
      0.0831473214285714,
      0.0862862723214286,
      0.0774739583333333,
      0.146740141369048,
      0.0879603794642857,
      0.0665922619047619,
      0.100190662202381,
      0.0980980282738095,
      0.080659412202381,
      0.0723353794642857,
      0.0611049107142857,
      0.0486188616071429,
      0.0499906994047619,
      0.0683826264880952,
      0.0584309895833333,
      0.0617559523809524,
      0.0649879092261905,
      0.0323660714285714,
      0.0669410342261905,
      0.0458286830357143,
      0.0385277157738095,
      0.0398530505952381,
      0.0436430431547619,
      0.075288318452381,
      0.0596865699404762,
      0.0802873883928571,
      0.07666015625,
      0.0622442336309524,
      0.0588960193452381,
      0.0348772321428571,
      0.0381091889880952,
      0.0497814360119048,
      0.0576171875,
      0.0797061011904762,
      0.0714750744047619,
      0.0913550967261905,
      0.0969122023809524,
      0.0319940476190476,
      0.0984235491071429,
      0.192057291666667,
      0.0507114955357143,
      0.090913318452381,
      0.0537806919642857,
      0.0762881324404762,
      0.0973307291666667,
      0.104213169642857,
      0.110863095238095,
      0.0996791294642857,
      0.0971447172619048,
      0.0895879836309524,
      0.070405505952381,
      0.0869838169642857,
      0.115164620535714,
      0.116443452380952,
      0.0872163318452381,
      0.110095796130952,
      0.061128162202381,
      0.0632207961309524,
      0.0942150297619048,
      0.0746605282738095,
      0.100330171130952,
      0.119001116071429,
      0.0837286086309524,
      0.0844494047619048,
      0.107328869047619,
      0.07470703125,
      0.0802408854166667,
      0.0690569196428571,
      0.0904482886904762,
      0.0845889136904762,
      0.0996326264880952,
      0.0807756696428571,
      0.0789853050595238,
      0.0514787946428571,
      0.0612909226190476,
      0.0831938244047619,
      0.0869140625,
      0.0741024925595238,
      0.0877278645833333,
      0.0618024553571429,
      0.0576636904761905,
      0.0815197172619048,
      0.0881928943452381,
      0.060453869047619,
      0.0919363839285714,
      0.0618257068452381,
      0.108956473214286,
      0.0810314360119048,
      0.080473400297619,
      0.126650855654762,
      0.10200427827381,
      0.0596400669642857,
      0.107584635416667,
      0.0934012276785714,
      0.07275390625,
      0.0928199404761905,
      0.075776599702381,
      0.0883091517857143,
      0.130254836309524,
      0.125209263392857,
      0.080659412202381,
      0.121117001488095,
      0.100283668154762,
      0.10444568452381,
      0.117652529761905,
      0.0797061011904762,
      0.0696847098214286,
      0.0934709821428571,
      0.0828915550595238,
      0.0859142485119048,
      0.0886811755952381,
      0.0828450520833333,
      0.0877743675595238,
      0.0857514880952381,
      0.0844959077380952,
      0.107445126488095,
      0.083984375,
      0.0980980282738095,
      0.101097470238095,
      0.0946103050595238,
      0.0512462797619048,
      0.0822172619047619,
      0.125860305059524,
      0.101981026785714,
      0.0794735863095238,
      0.0545479910714286,
      0.0639880952380952,
      0.093656994047619,
      0.0970982142857143,
      0.140904017857143,
      0.109607514880952,
      0.093168712797619,
      0.144926525297619,
      0.0424572172619048,
      0.0633370535714286,
      0.0595470610119048,
      0.0692661830357143,
      0.0660342261904762,
      0.04638671875,
      0.045805431547619,
      0,
      0,
      0,
      0
    ],
    "spectral_centroid_curve": [
      0.0503555736842331,
      0.0798770234155874,
      0.0935353770167414,
      0.0651914167178505,
      0.0260701008512643,
      0.0549862664079537,
      0.0553371967833594,
      0.0281824758903785,
      0.0468626195464034,
      0.0331312521066094,
      0.0123106207947967,
      0.149270983264036,
      0.158514055033467,
      0.0311419520865034,
      0.0820632037361891,
      0.0454133461256103,
      0.019818541305052,
      0.045318301796279,
      0.0390027257869115,
      0.0417629073035258,
      0.0798560111512054,
      0.0511602025516309,
      0.0889990656423015,
      0.0732407808829059,
      0.0819733591677831,
      0.0878672756749722,
      0.10010505187094,
      0.0305530280019132,
      0.0858556736999952,
      0.0572504559191473,
      0.0475614086993861,
      0.0587540147608597,
      0.0406883108899566,
      0.0126154335849738,
      0.118786780311571,
      0.0801356347990913,
      0.109942626236017,
      0.123910262636112,
      0.041995354834476,
      0.0212938118622719,
      0.0952129551892037,
      0.0422878745593293,
      0.0638047910379749,
      0.0800131732578207,
      0.0665057791272838,
      0.0200903429543195,
      0.0266246794442571,
      0.0125955118381519,
      0.0107463370253378,
      0.0126185502281754,
      0.014042627556745,
      0.0166949631587345,
      0.0167395290900692,
      0.0207414334465716,
      0.0533557026474909,
      0.0256811666010141,
      0.0811499585281474,
      0.0931378244151158,
      0.089217793319719,
      0.0461607055015058,
      0.0590194418923442,
      0.0267247703547406,
      0.03721802333858,
      0.0798338269810063,
      0.0090484151331963,
      0.0442799031060983,
      0.130826658355277,
      0.0269957012290697,
      0.0320609697473674,
      0.0399391044527512,
      0.0164330055062764,
      0.0407755388690025,
      0.0584367755361914,
      0.0558235852266387,
      0.0513407756419396,
      0.0827804336629699,
      0.0259203578461194,
      0.0470160508445321,
      0.0658121317514704,
      0.066234741146135,
      0.106654932675531,
      0.0239727139325579,
      0.0205121564173235,
      0.0445032156893109,
      0.0305671533947379,
      0.0352688601903978,
      0.0459162499273107,
      0.0130499133953777,
      0.0318898118482425,
      0.0174415908372742,
      0.0579889824583404,
      0.0380410748527294,
      0.0416083405318428,
      0.0714245323636308,
      0.0558133918532599,
      0.0400313778039077,
      0.0402080389161096,
      0.0801073939555795,
      0.0875230477251262,
      0.0716206671165879,
      0.0575116381357777,
      0.0375207297165731,
      0.0407824475158449,
      0.0531843082179167,
      0.0258372770784414,
      0.0452847487500097,
      0.0465119455669227,
      0.0179442778249432,
      0.0349843843290847,
      0.0121267316638719,
      0.0255221817267382,
      0.0461129625981795,
      0.0160360413248746,
      0.0269122474773159,
      0.0594783145023098,
      0.0337527711963311,
      0.0649717672118224,
      0.0542763741584882,
      0.0371701577335132,
      0.0526279148129251,
      0.0795136275315517,
      0.0467029605747256,
      0.116932231565822,
      0.0465409140425863,
      0.0442134510031865,
      0.0391498618747367,
      0.0643768134353672,
      0.0299671802893812,
      0.0462809583087861,
      0.0428069470240857,
      0.0283680021890148,
      0.0585568518641742,
      0.0311864668585136,
      0.0224876791533488,
      0.0567529609377008,
      0.0567834257856766,
      0.0471912773209263,
      0.0594424962470553,
      0.0417305396936563,
      0.106121593927641,
      0.05211521901686,
      0.0602465999087332,
      0.0315672453175301,
      0.0591702191581589,
      0.040378596424847,
      0.0214750649835,
      0.0299244280610701,
      0.0422055489848786,
      0.0778891757801279,
      0.110007213837467,
      0.0364214128241624,
      0.0304464366494274,
      0.10922709849127,
      0.0433285740444282,
      0.0453166155869072,
      0.0710630986459768,
      0.0485114359728202,
      0.0314061433924432,
      0.027087403429157,
      0.0112170880380462,
      0.0403821137212615,
      0.0424607867231552,
      0.0198840013321261,
      0.0585298834527273,
      0.0242974294367491,
      0.0704960041772468,
      0.0565220965276144,
      0.0381573854787946,
      0.0325683800380409,
      0.0449492645611936,
      0.0251160201240329,
      0.0339740481080213,
      0.0543516933650398,
      0.0107030622439168,
      0.0313241176031855,
      0.0384429093025504,
      0.0151359075609119,
      0.0471123305485313,
      0.0546106000521816,
      0.00895652656354169,
      0.0252348806150799,
      0.0268233826440617,
      0.057773573772018,
      0.0570816962199254,
      0.0444129190019173,
      0.0884371086066543,
      0.104632248664233,
      0.0622036769040919,
      0.0191610178371961,
      0.0501853097916844,
      0.0704880460225033,
      0.0556582085831673,
      0.0484291804087303,
      0.0315808537199539,
      0.0563092297119083,
      0.0647710775862327,
      0.0405222077197572,
      0.0762582105652309,
      0.0340631227116894,
      0.0248029393434313,
      0.0349291925670901,
      0.0189843201363515,
      0.0146277830781075,
      0.0485092274769822,
      0.0294197369743273,
      0.0139724950648217,
      0.028838202964249,
      0.0164591932799551,
      0.0558376685770865,
      0.040913589680349,
      0.0573787335331053,
      0.0768355930666436,
      0.120143098302727,
      0.0833508597936926,
      0.105750868498472,
      0.0719051688173305,
      0.0294248445083085,
      0.0788626768568176,
      0.0430267995879215,
      0.0758571537649984,
      0.076171889478615,
      0.033397938877223,
      0.0396782035871618,
      0.0307730602511931,
      0.016715336272616,
      0.0208021285237319,
      0.0536517781000838,
      0.0252787810061455,
      0.0211301172324413,
      0.0452836090567464,
      0.0349086379187628,
      0.0308984738920782,
      0.0345695122346693,
      0.016063406694398,
      0.0347082934866753,
      0.0289913852907055,
      0.0263483227531935,
      0.0298870961210504,
      0.0470608876574707,
      0.0854986789447269,
      0.113816190166901,
      0.145387316712375,
      0.111728276362593,
      0.0845540742445308,
      0.0777248896966012,
      0.0835219168577134,
      0.0762445300162797,
      0.0609011759288466,
      0.0523308447503318,
      0.0842032758617028,
      0.0690585394872558,
      0.115542843843998,
      0.110545499381978,
      0.0687215448467335,
      0.0492544309767912,
      0.0828518670669546,
      0.0615978996937033,
      0.0732623485920682,
      0.0800956904305929,
      0.0319977995618272,
      0.0451648254750664,
      0.0389252734651119,
      0.0614436456179931,
      0.0759806786230042,
      0.0817467501194177,
      0.0861744783605625,
      0.0611188758397712,
      0.0603937107993615,
      0.0334408481968519,
      0.0619339591968138,
      0.0225486713050421,
      0.0631205536990447,
      0.0979122664724014,
      0.0345020411322941,
      0.0313958003235738,
      0.0390868574392659,
      0.0324293261436969,
      0.0703833556381641,
      0.043534333108771,
      0.044988020050212,
      0.0615895823274872,
      0.0729495709661911,
      0.0618704826137976,
      0.0804648451248817,
      0.0942349350740058,
      0.0422465740370225,
      0.0879655302889148,
      0.0747983479524583,
      0.0510788899117709,
      0.0602620911508637,
      0.0332650086445736,
      0.0374968343576241,
      0.0426747338320606,
      0.0183155960127077,
      0.0259868334608625,
      0.0496996730479228,
      0.0249306742649613,
      0.0287828223211936,
      0.0699103347241678,
      0.0379349329166018,
      0.0481342804263798,
      0.0579463567449422,
      0.0416554627069865,
      0.0687955234361017,
      0.0624485826427625,
      0.0539763950637623,
      0.113459630551985,
      0.0537602749009927,
      0.0416336950439296,
      0.0637161110117758,
      0.0608447913312453,
      0.0471706647575161,
      0.0595128088586225,
      0.0363169790593282,
      0.0259384896616664,
      0.0289041039218474,
      0.0381728103026387,
      0.027081694781435,
      0.0354847729044657,
      0.0287993268167393,
      0.0201826138620645,
      0.0511829099367564,
      0.0297249137295249,
      0.0277514163166713,
      0.0227253561419138,
      0.0249882247205161,
      0.0550247502467379,
      0.0378616196014107,
      0.0582589369690686,
      0.0383470576265053,
      0.0310295294859055,
      0.0365175806597039,
      0.018768975995462,
      0.0209958930621147,
      0.0250813534560325,
      0.0236727870308621,
      0.0495233512777629,
      0.0313155451187986,
      0.067091933355161,
      0.0764834185567459,
      0.0197665299120771,
      0.0855875270293095,
      0.163538334767524,
      0.0244749377946288,
      0.0735128207202028,
      0.0280851909620537,
      0.0397262632093567,
      0.0561069047742623,
      0.0488114470651911,
      0.0795318335177991,
      0.0671762603955339,
      0.051986776795915,
      0.060066055424665,
      0.0487456879594258,
      0.0446610099844607,
      0.100890733761707,
      0.0878645428339033,
      0.0660075135605262,
      0.0963780721548769,
      0.035604093932782,
      0.0398823564700326,
      0.0622063941251077,
      0.0635927725401491,
      0.0747438448057405,
      0.0888229452578503,
      0.0637866353416157,
      0.0522955635346629,
      0.0822749543735609,
      0.0523718756937921,
      0.0573273348315501,
      0.0338206016822047,
      0.0677078382397529,
      0.0595522167353034,
      0.0630871271934965,
      0.0539880449781358,
      0.0505914136267428,
      0.0407858936300651,
      0.0418757886260262,
      0.0526380932712889,
      0.0514063344069679,
      0.0438441455455038,
      0.0604662048869579,
      0.0346914957165939,
      0.0326757905811474,
      0.0538908988876917,
      0.0492880657240021,
      0.0318334568648729,
      0.0604091398857287,
      0.03488325028656,
      0.0678592871298899,
      0.0564290072356174,
      0.0516269423524311,
      0.101396924797511,
      0.0679670461518662,
      0.0382948186883861,
      0.0762149669874412,
      0.0663163343802206,
      0.0457408132782545,
      0.0577959457830396,
      0.0532033223892812,
      0.053804400016524,
      0.0920693582344169,
      0.0880538947068026,
      0.0455835950050952,
      0.0919894769742843,
      0.0796099176317623,
      0.0839435907808184,
      0.0998553648259319,
      0.055512014919316,
      0.038713181970931,
      0.0659203213956628,
      0.063559675557457,
      0.0570545060901815,
      0.0599097079207684,
      0.059535822107015,
      0.0533373200693351,
      0.0676920842640597,
      0.0489045976696527,
      0.0654559650987259,
      0.047079478397542,
      0.0696833348607263,
      0.0753598835749934,
      0.056112601383814,
      0.0320332768658815,
      0.0637678179693302,
      0.0812857196330519,
      0.0664031598667348,
      0.0535943990866988,
      0.0310439278701248,
      0.0401748517874439,
      0.0468333921683483,
      0.0473254140184137,
      0.0914524781289181,
      0.093605888615945,
      0.0739056867618963,
      0.117685598538039,
      0.0206919887212584,
      0.0376030584974562,
      0.0283345351976398,
      0.0395431817970881,
      0.0336809485536875,
      0.0230177724708074,
      0.0187244698034885,
      0.00247124539956574,
      0.0001953125,
      0.0001953125,
      0.000282054871205026
    ],
    "spectral_bandwidth_curve": [
      0.0660226999859652,
      0.0662965468222558,
      0.0823416401077448,
      0.0498469485289558,
      0.0243373130219484,
      0.0745011566938535,
      0.0633397296266644,
      0.0294108366200496,
      0.0538589779662361,
      0.0316748443155215,
      0.0226562659136993,
      0.166368335444661,
      0.180338987113532,
      0.0334095356352797,
      0.0497198978054362,
      0.0389648627834758,
      0.0207356226035286,
      0.0693652590762266,
      0.0701587069198136,
      0.0303388596161246,
      0.0617880843491696,
      0.0381272406778221,
      0.0874811588082862,
      0.09870063313192,
      0.0961127024320924,
      0.0823108653207228,
      0.10834458090938,
      0.031426470451846,
      0.105684905847386,
      0.0536900897427573,
      0.0461537376135277,
      0.0619613678176906,
      0.0379992006876959,
      0.0230713167683554,
      0.140505754409341,
      0.108613715797375,
      0.0842006203190477,
      0.106944162772911,
      0.0402156864165548,
      0.0375849946651747,
      0.114504952514514,
      0.0364822481595051,
      0.0895141985032785,
      0.101126259753052,
      0.124795994044144,
      0.0559784119667481,
      0.0683706338989266,
      0.0361426097258841,
      0.0301349252920204,
      0.036413647508623,
      0.0394191779897603,
      0.0471850286186885,
      0.0453287250306621,
      0.0502301445473169,
      0.093801117272609,
      0.0570199264998276,
      0.0804389677416568,
      0.0818099523430845,
      0.0768421042769778,
      0.046910870084952,
      0.099323524669468,
      0.0368310932612571,
      0.0513197610527971,
      0.102232424776718,
      0.0218851656325593,
      0.0497075145853237,
      0.136778128501464,
      0.0418563576157083,
      0.0641411537389485,
      0.0595829258821365,
      0.0301062093612387,
      0.0652540286532598,
      0.0853281862601448,
      0.0730102832074076,
      0.101830801728886,
      0.101019757077368,
      0.0611171111220737,
      0.0876887981357492,
      0.0785318671972075,
      0.0618461460092298,
      0.0700091344476188,
      0.0340500564897043,
      0.0388213287496567,
      0.0545038445429515,
      0.0404311112575993,
      0.055194765956381,
      0.0706506383278893,
      0.0267838967424377,
      0.0602199594328624,
      0.0409978334655968,
      0.0840084043542929,
      0.0718362776051537,
      0.0774847203884745,
      0.111741901407282,
      0.0828413155332632,
      0.0693110582335713,
      0.091223224775162,
      0.0772433683352203,
      0.0900147490546122,
      0.0892609572394797,
      0.0806010802746364,
      0.0721589467142419,
      0.0702627051769019,
      0.0803894653723331,
      0.0457192901487138,
      0.0766173943322743,
      0.0608004598304356,
      0.0378369084888998,
      0.0547114844464538,
      0.0269624319525057,
      0.0489793305910627,
      0.0767734456320016,
      0.0389197185286156,
      0.0485480862127089,
      0.0775829797417665,
      0.0514477352318199,
      0.0875483394331833,
      0.076266288197029,
      0.0625599559223702,
      0.0718099421385077,
      0.0833129665298813,
      0.0590605013082057,
      0.115240705976632,
      0.083965159855047,
      0.0647880191468554,
      0.0692480538232143,
      0.0848952682974737,
      0.0496920012922845,
      0.0654447153196503,
      0.0618312869135643,
      0.0551747763707451,
      0.0819138042803363,
      0.0521365554348812,
      0.041820163225677,
      0.0888087295227151,
      0.0488799194309007,
      0.0846895521821094,
      0.0930793667488291,
      0.0716730594502334,
      0.0979599837841093,
      0.0926769752542916,
      0.0731475392903201,
      0.05856979996734,
      0.0629751011193084,
      0.0762628257788761,
      0.0498382337219758,
      0.0680971739041051,
      0.082807352026145,
      0.110748653574372,
      0.127275070045118,
      0.0629392787604242,
      0.056181370623674,
      0.102135283524707,
      0.0621134344339694,
      0.0817456080805201,
      0.0867210389561736,
      0.0835971879676088,
      0.070964397589684,
      0.0467264637203645,
      0.0339600209900418,
      0.0700767123469314,
      0.0842508433028148,
      0.045835478007801,
      0.0830565816107419,
      0.0519290969520418,
      0.0901594809401842,
      0.094645695977756,
      0.0573940575911155,
      0.069255225321174,
      0.0697766850185277,
      0.0662372478575488,
      0.0733929991557395,
      0.0711086172437208,
      0.0247939915254874,
      0.0634445235120059,
      0.0587793904200265,
      0.0378767342161955,
      0.0785692065674001,
      0.0790799782614523,
      0.0263088197225487,
      0.066175523887723,
      0.0601549848979705,
      0.0834524849181912,
      0.0990969046974444,
      0.0720166159157614,
      0.113103703440982,
      0.14066959376232,
      0.0869380680187837,
      0.0372892639787301,
      0.102541034868981,
      0.105360084578548,
      0.0902764649721113,
      0.0866834284520668,
      0.0736761421672893,
      0.0890491420798612,
      0.0876077685487907,
      0.073001434266146,
      0.0951626490029572,
      0.053385911516634,
      0.0475897426384502,
      0.0608218899501099,
      0.0413124028335323,
      0.0370746848237385,
      0.0778130983761156,
      0.0532755367544782,
      0.034456333730755,
      0.0643522644209005,
      0.0364222426146721,
      0.078326918508894,
      0.071993028083385,
      0.0919992725757895,
      0.0998937484912737,
      0.158712120714385,
      0.12912836966268,
      0.117508888371982,
      0.097816475263803,
      0.0612488887911264,
      0.127363945664329,
      0.0828915810007811,
      0.117529436535404,
      0.0881407886886511,
      0.0638004518164114,
      0.0781216249460262,
      0.0625486968354419,
      0.0337739399665778,
      0.0477455948464644,
      0.0916267884830928,
      0.0425372715116942,
      0.0395664616829372,
      0.0867543940169139,
      0.0577301256545663,
      0.0544510737817101,
      0.0617720736210404,
      0.0337933577388557,
      0.0737352741152941,
      0.060789445573257,
      0.0633940955931643,
      0.0477340686490764,
      0.0810903589699173,
      0.100949560101057,
      0.105920539255223,
      0.120998028665312,
      0.0951077063953848,
      0.0884036114603707,
      0.0764472394608776,
      0.115914047233739,
      0.105931568911912,
      0.0646067057312237,
      0.073038564924137,
      0.103513680988587,
      0.103689646337556,
      0.101765886521843,
      0.100506264018828,
      0.0923926831676692,
      0.0870515624129706,
      0.0837178679269147,
      0.103698628569771,
      0.108047185261781,
      0.114241692872336,
      0.0825493395464243,
      0.0896179624747938,
      0.0942617038929053,
      0.0804506220641083,
      0.0752799515705698,
      0.0809084125978685,
      0.0795372435531158,
      0.0804440259222516,
      0.0775318114119548,
      0.0713782530451838,
      0.0725705819228174,
      0.0555571617571331,
      0.0750658734147679,
      0.111172578973305,
      0.0731956360873021,
      0.0572260311170272,
      0.0762643276804904,
      0.0599185886888041,
      0.0828962732705342,
      0.076002658774884,
      0.0664857816554584,
      0.0690532967354597,
      0.0643809200670216,
      0.0731680659126093,
      0.0897307278623865,
      0.105587509257867,
      0.0784797322960169,
      0.105398976121303,
      0.106333279958655,
      0.0887392647001779,
      0.0733115630809137,
      0.0511834978024984,
      0.0642758556602407,
      0.0624295703276905,
      0.0459792411882117,
      0.0547337650315757,
      0.0752052793915225,
      0.0465744162392724,
      0.0522444806250347,
      0.0788473966436029,
      0.0580802344133647,
      0.0699179224554212,
      0.0896667459387954,
      0.0646745750999229,
      0.0743261244503075,
      0.072592977475489,
      0.0739361252479246,
      0.116007516889139,
      0.0932162670360704,
      0.0799639920185698,
      0.0971941061410849,
      0.0954623350005142,
      0.080178985041583,
      0.0688756093665885,
      0.0659112914259179,
      0.0571744503340697,
      0.055112566849007,
      0.0673413779110049,
      0.0634921974706203,
      0.083180458571383,
      0.0786633657730042,
      0.0365671380526842,
      0.0699757515217713,
      0.0435077871384547,
      0.0439032462562088,
      0.0412347975539163,
      0.0415013403356667,
      0.0817890375299094,
      0.0598430187722825,
      0.0696949315125748,
      0.0860743225842536,
      0.0662444483918009,
      0.0639605566001692,
      0.0426433877170305,
      0.0484222077142352,
      0.0557143151373478,
      0.060158514500745,
      0.0717550238610846,
      0.0820071497170506,
      0.0810261862326952,
      0.0794984281106334,
      0.0462619685000297,
      0.107822089627574,
      0.147048873292934,
      0.0636799933993997,
      0.0815824248887784,
      0.0591139602784361,
      0.0867736017654449,
      0.104149765807118,
      0.112667929076876,
      0.101847666403795,
      0.0961015555826746,
      0.104078487465075,
      0.0991398008596339,
      0.0697910942379323,
      0.0826282199296108,
      0.102243328681372,
      0.0991062345068893,
      0.0843153721296866,
      0.0902738479861728,
      0.0638739525390489,
      0.0715786091451543,
      0.0879747905129351,
      0.0737411873507025,
      0.0855419544816197,
      0.106718967060416,
      0.0702395745075016,
      0.0871670719795344,
      0.0994502605803585,
      0.0669236051584395,
      0.0750598096988011,
      0.079751541022842,
      0.0772117408400264,
      0.0802968254887366,
      0.09307722821123,
      0.0747384548508317,
      0.0803650662817129,
      0.0595463012087697,
      0.0641895648840438,
      0.0829435364739525,
      0.0898695070985027,
      0.0712502127567899,
      0.0844767650515482,
      0.0633878556544717,
      0.0678441207303299,
      0.0833706846138749,
      0.0893612657600591,
      0.0713268979531283,
      0.0881437365130903,
      0.0679283245679945,
      0.0942498438236605,
      0.0788628076156589,
      0.0804579908981377,
      0.108520655018822,
      0.0904381663905146,
      0.0643194237442713,
      0.0886263275289084,
      0.088312030605426,
      0.0711053931022711,
      0.100946760913813,
      0.0733730918298964,
      0.102260527761086,
      0.116393515990645,
      0.134825289465015,
      0.0918697157067465,
      0.10277561045001,
      0.0732121640509521,
      0.0773639019636523,
      0.0978211174511777,
      0.0874841621405047,
      0.0861082559591154,
      0.100500616826766,
      0.0798777409339718,
      0.0810433189524744,
      0.083632291940604,
      0.0843330761416286,
      0.0928075643737914,
      0.0808471517130593,
      0.0954792547455277,
      0.116460286843025,
      0.0978198325475605,
      0.0803885153314283,
      0.0896095495727626,
      0.0861097641540173,
      0.0508157604877165,
      0.0913999425525663,
      0.136396725148133,
      0.105142061165945,
      0.0825728463146828,
      0.0700119992322887,
      0.0733418150111488,
      0.0927993168489207,
      0.0890491179131119,
      0.1351550558285,
      0.111037827724644,
      0.0946861835581489,
      0.133399389691757,
      0.0594923809135306,
      0.0825115392713585,
      0.062211241650792,
      0.0896763229485155,
      0.0768929067792512,
      0.0603283805080628,
      0.0941322424609842,
      0.0281122803775242,
      0.000390625,
      0.000390625,
      0.00141809291115071
    ],
    "spectral_rolloff_curve": [
      0.111002604166667,
      0.141834077380952,
      0.152994791666667,
      0.110491071428571,
      0.035063244047619,
      0.0857979910714286,
      0.0627325148809524,
      0.0418061755952381,
      0.0584542410714286,
      0.0382719494047619,
      0.0160900297619048,
      0.33979724702381,
      0.338634672619048,
      0.0387834821428571,
      0.102260044642857,
      0.0688709077380952,
      0.0274832589285714,
      0.041108630952381,
      0.0582682291666667,
      0.0435267857142857,
      0.10063244047619,
      0.0751488095238095,
      0.144438244047619,
      0.147693452380952,
      0.159598214285714,
      0.149507068452381,
      0.177362351190476,
      0.0417596726190476,
      0.16303943452381,
      0.0735677083333333,
      0.0803571428571429,
      0.0948660714285714,
      0.0515252976190476,
      0.014741443452381,
      0.26753162202381,
      0.134114583333333,
      0.177966889880952,
      0.244233630952381,
      0.0602678571428571,
      0.022553943452381,
      0.151460193452381,
      0.0787295386904762,
      0.0958426339285714,
      0.125,
      0.0868675595238095,
      0.0241350446428571,
      0.0246000744047619,
      0.0100446428571429,
      0.0110212053571429,
      0.0114862351190476,
      0.0114862351190476,
      0.0125093005952381,
      0.0132998511904762,
      0.0192987351190476,
      0.0924014136904762,
      0.0317150297619048,
      0.144066220238095,
      0.119373139880952,
      0.139136904761905,
      0.088774181547619,
      0.0724981398809524,
      0.0459449404761905,
      0.0479910714285714,
      0.140811011904762,
      0.0089750744047619,
      0.0764043898809524,
      0.249813988095238,
      0.0395740327380952,
      0.0448753720238095,
      0.0560360863095238,
      0.024321056547619,
      0.0678013392857143,
      0.090727306547619,
      0.102678571428571,
      0.0659412202380952,
      0.158342633928571,
      0.0256696428571429,
      0.0779389880952381,
      0.105282738095238,
      0.117792038690476,
      0.14067150297619,
      0.0412946428571429,
      0.0234840029761905,
      0.0514322916666667,
      0.0623604910714286,
      0.0579427083333333,
      0.0750558035714286,
      0.0181826636904762,
      0.0511067708333333,
      0.0197172619047619,
      0.077241443452381,
      0.0524088541666667,
      0.0720331101190476,
      0.150669642857143,
      0.0876116071428571,
      0.0512927827380952,
      0.0485026041666667,
      0.131417410714286,
      0.134533110119048,
      0.105933779761905,
      0.109049479166667,
      0.0477120535714286,
      0.0774274553571429,
      0.0927269345238095,
      0.0463634672619048,
      0.0592447916666667,
      0.0730561755952381,
      0.0233909970238095,
      0.0635230654761905,
      0.0112537202380952,
      0.0324125744047619,
      0.0812406994047619,
      0.0172526041666667,
      0.0395740327380952,
      0.103190104166667,
      0.0595238095238095,
      0.127511160714286,
      0.0819847470238095,
      0.0637555803571429,
      0.0836588541666667,
      0.121977306547619,
      0.0837518601190476,
      0.210518973214286,
      0.0851934523809524,
      0.0621744791666667,
      0.0647321428571429,
      0.117327008928571,
      0.0474330357142857,
      0.0681733630952381,
      0.0706845238095238,
      0.0459449404761905,
      0.0944010416666667,
      0.0421316964285714,
      0.0260416666666667,
      0.102818080357143,
      0.0771484375,
      0.0833333333333333,
      0.119373139880952,
      0.0737537202380952,
      0.190150669642857,
      0.0822172619047619,
      0.099609375,
      0.0465494791666667,
      0.0877046130952381,
      0.0669177827380952,
      0.0224609375,
      0.0285063244047619,
      0.0827287946428571,
      0.154668898809524,
      0.221586681547619,
      0.0666387648809524,
      0.0646856398809524,
      0.201915922619048,
      0.0766369047619048,
      0.0694754464285714,
      0.120535714285714,
      0.0971447172619048,
      0.0398065476190476,
      0.0387834821428571,
      0.010649181547619,
      0.0497581845238095,
      0.0727306547619048,
      0.0228794642857143,
      0.0949590773809524,
      0.0286923363095238,
      0.137276785714286,
      0.105561755952381,
      0.0558035714285714,
      0.0475260416666667,
      0.0713355654761905,
      0.031343005952381,
      0.0468284970238095,
      0.0932849702380952,
      0.0104166666666667,
      0.0404575892857143,
      0.052734375,
      0.0147879464285714,
      0.0823567708333333,
      0.10356212797619,
      0.00925409226190476,
      0.0280877976190476,
      0.0242745535714286,
      0.114676339285714,
      0.106259300595238,
      0.0753813244047619,
      0.183128720238095,
      0.222842261904762,
      0.113653273809524,
      0.0344122023809524,
      0.0972377232142857,
      0.134951636904762,
      0.0913783482142857,
      0.0784505208333333,
      0.0496186755952381,
      0.115606398809524,
      0.11332775297619,
      0.0740792410714286,
      0.142671130952381,
      0.0554780505952381,
      0.0337146577380952,
      0.0569196428571429,
      0.0219959077380952,
      0.0161830357142857,
      0.0802641369047619,
      0.0476655505952381,
      0.0187406994047619,
      0.0355747767857143,
      0.0250186011904762,
      0.110537574404762,
      0.0659877232142857,
      0.123883928571429,
      0.1484375,
      0.28608630952381,
      0.200892857142857,
      0.190104166666667,
      0.126209077380952,
      0.0284598214285714,
      0.174293154761905,
      0.0732886904761905,
      0.15620349702381,
      0.146112351190476,
      0.0636160714285714,
      0.07421875,
      0.0442708333333333,
      0.0212518601190476,
      0.0202752976190476,
      0.096586681547619,
      0.0367838541666667,
      0.0443638392857143,
      0.0740327380952381,
      0.0665457589285714,
      0.0484095982142857,
      0.0611049107142857,
      0.0238560267857143,
      0.046968005952381,
      0.0435267857142857,
      0.0324590773809524,
      0.0435267857142857,
      0.104957217261905,
      0.175967261904762,
      0.211030505952381,
      0.290550595238095,
      0.174339657738095,
      0.144903273809524,
      0.14253162202381,
      0.20600818452381,
      0.129231770833333,
      0.0789155505952381,
      0.0922619047619048,
      0.130161830357143,
      0.136579241071429,
      0.186988467261905,
      0.177269345238095,
      0.127139136904762,
      0.0705450148809524,
      0.115931919642857,
      0.108723958333333,
      0.121512276785714,
      0.168387276785714,
      0.0322265625,
      0.0481305803571429,
      0.0460379464285714,
      0.100167410714286,
      0.119791666666667,
      0.107700892857143,
      0.11430431547619,
      0.0833798363095238,
      0.11430431547619,
      0.040922619047619,
      0.0903552827380952,
      0.0236235119047619,
      0.11909412202381,
      0.190941220238095,
      0.0523623511904762,
      0.0464564732142857,
      0.0725911458333333,
      0.0520368303571429,
      0.1201171875,
      0.0721261160714286,
      0.0639880952380952,
      0.0837053571428571,
      0.0884951636904762,
      0.0844029017857143,
      0.13383556547619,
      0.181222098214286,
      0.0779854910714286,
      0.157459077380952,
      0.15913318452381,
      0.087007068452381,
      0.0691034226190476,
      0.04296875,
      0.064360119047619,
      0.0676618303571429,
      0.015625,
      0.030366443452381,
      0.0788690476190476,
      0.0366908482142857,
      0.053617931547619,
      0.12690662202381,
      0.0775204613095238,
      0.0888671875,
      0.10444568452381,
      0.0652901785714286,
      0.1171875,
      0.108816964285714,
      0.0908203125,
      0.217633928571429,
      0.0805431547619048,
      0.0479910714285714,
      0.0934244791666667,
      0.103376116071429,
      0.0828218005952381,
      0.0874255952380952,
      0.0590587797619048,
      0.0383184523809524,
      0.0433872767857143,
      0.0549200148809524,
      0.0262276785714286,
      0.0479910714285714,
      0.0241815476190476,
      0.0357607886904762,
      0.0925409226190476,
      0.0467354910714286,
      0.0394810267857143,
      0.0332496279761905,
      0.0403180803571429,
      0.118257068452381,
      0.0644996279761905,
      0.108072916666667,
      0.0425967261904762,
      0.047758556547619,
      0.0592447916666667,
      0.0281808035714286,
      0.0367373511904762,
      0.0367838541666667,
      0.0308314732142857,
      0.0862165178571429,
      0.0328776041666667,
      0.0925874255952381,
      0.112165178571429,
      0.0202752976190476,
      0.120814732142857,
      0.280738467261905,
      0.0361793154761905,
      0.132719494047619,
      0.0547340029761905,
      0.055757068452381,
      0.0930989583333333,
      0.0548270089285714,
      0.115559895833333,
      0.10649181547619,
      0.0822172619047619,
      0.130998883928571,
      0.0768694196428571,
      0.0904017857142857,
      0.183500744047619,
      0.159877232142857,
      0.126441592261905,
      0.146716889880952,
      0.078218005952381,
      0.0622209821428571,
      0.1123046875,
      0.104817708333333,
      0.129231770833333,
      0.180245535714286,
      0.105701264880952,
      0.110723586309524,
      0.150855654761905,
      0.0721261160714286,
      0.0837053571428571,
      0.0419456845238095,
      0.113932291666667,
      0.0820777529761905,
      0.0773344494047619,
      0.098725818452381,
      0.0570126488095238,
      0.0579892113095238,
      0.0490141369047619,
      0.0936104910714286,
      0.0866815476190476,
      0.0716145833333333,
      0.0889136904761905,
      0.0572916666666667,
      0.050874255952381,
      0.0884021577380952,
      0.0716610863095238,
      0.0408761160714286,
      0.0930524553571429,
      0.0531529017857143,
      0.138346354166667,
      0.0933779761904762,
      0.0956566220238095,
      0.166713169642857,
      0.11421130952381,
      0.0599423363095238,
      0.140392485119048,
      0.0943080357142857,
      0.0757998511904762,
      0.1015625,
      0.100074404761905,
      0.0774274553571429,
      0.168852306547619,
      0.194103422619048,
      0.0698939732142857,
      0.163643973214286,
      0.133277529761905,
      0.130673363095238,
      0.182756696428571,
      0.093843005952381,
      0.0818452380952381,
      0.0910063244047619,
      0.102027529761905,
      0.0895647321428571,
      0.0796130952380952,
      0.0890066964285714,
      0.0855654761904762,
      0.0859840029761905,
      0.0909598214285714,
      0.1318359375,
      0.0724051339285714,
      0.114164806547619,
      0.131603422619048,
      0.0908668154761905,
      0.05078125,
      0.125,
      0.164899553571429,
      0.109793526785714,
      0.0885881696428571,
      0.0426432291666667,
      0.0671037946428571,
      0.0710100446428571,
      0.100213913690476,
      0.183686755952381,
      0.159830729166667,
      0.113746279761905,
      0.243350074404762,
      0.0193917410714286,
      0.0442708333333333,
      0.030180431547619,
      0.0519438244047619,
      0.041015625,
      0.021391369047619,
      0.00730096726190476,
      0.0009765625,
      0.0009765625,
      0.0009765625,
      0.001025390625
    ],
    "spectral_flatness_curve": [
      0.0200604648301415,
      0.00000171212465788922,
      0.00000726901289956751,
      9.47285275719911e-8,
      7.53155364884479e-9,
      0.0000218022341625877,
      9.66035238274704e-7,
      2.13606213437625e-8,
      0.00000191691211872755,
      1.02182313195502e-7,
      6.87705184244762e-9,
      0.00129189882193605,
      0.0019590281905553,
      4.54097873075602e-8,
      0.0000010117830329421,
      1.1864618685162e-7,
      3.64950170018506e-9,
      4.73378125704575e-7,
      0.0000492515809103481,
      3.43990887020521e-8,
      0.00000185908796468146,
      9.5662549934022e-8,
      0.00000343861081103594,
      0.0000215979102328456,
      0.0000259404302624361,
      0.000075307587851504,
      0.0000677774085573353,
      8.50349808470878e-9,
      0.000356326526951471,
      4.74413234374926e-7,
      1.1097034192758e-8,
      0.00000987546890124518,
      1.384734389422e-7,
      6.95748050140007e-9,
      0.000918219409886733,
      0.0000841085491065264,
      0.000098789478589372,
      0.00000397088941669134,
      4.43511499842317e-8,
      0.00000111538123516375,
      0.00195118004767397,
      1.05664753232702e-8,
      0.00000421094314560096,
      0.0000808293303615723,
      0.0000203631067797559,
      8.12402037220642e-7,
      0.00000472061195093454,
      1.16427414574367e-7,
      3.07779280244027e-8,
      6.25667559002946e-8,
      1.21993734433823e-7,
      3.39620025140243e-7,
      2.27737179059188e-7,
      4.05623411824402e-7,
      0.0000231418907763971,
      5.7255008370476e-7,
      6.3681565831858e-7,
      0.00000796814230770211,
      7.54861468611252e-7,
      1.59703351356405e-7,
      0.0000140676009006386,
      2.58640447979966e-7,
      0.00000322044626666746,
      0.000123047392579612,
      7.52295346958717e-8,
      0.0000345585016312436,
      0.0000841592163879815,
      4.30974404203247e-7,
      0.0000126010080685168,
      0.00000113907575822228,
      1.06801886241925e-7,
      0.0000295105644585134,
      0.0000544332971225302,
      7.9680799458637e-7,
      0.00000453388555982354,
      0.00000623438871216524,
      0.00000367283685699519,
      0.0000238358824415865,
      0.0000016476618042021,
      6.81864756033137e-8,
      0.0000032904309676864,
      2.12147607808653e-8,
      0.00000462210397843286,
      0.00000102424489164366,
      9.45779425946795e-8,
      0.0000346689399752986,
      0.0000667880181748578,
      4.005808008161e-8,
      0.0000244484498734805,
      0.00000118400425316568,
      0.00000110904727218606,
      0.00000195775924599011,
      0.00000554995536233513,
      0.0000147376793152731,
      0.0000037562764805787,
      0.00000130164655794327,
      4.96008142213912e-7,
      0.000001020464330809,
      0.00000274715037720877,
      0.00000241299336467949,
      0.00000414075010829371,
      4.35295278896331e-7,
      0.00000599661024413706,
      0.0000167892892535474,
      1.8504248841746e-7,
      0.0000237712725893455,
      0.00000661796785018401,
      6.13670651400639e-8,
      5.33322910236338e-7,
      2.29699204632139e-8,
      0.00000257854832458447,
      0.0000263929620013216,
      2.82964302943276e-7,
      9.83496068563052e-8,
      0.00000316102249902338,
      1.15122033491432e-7,
      0.0000111907229293114,
      0.00000218559210023371,
      0.00000180106527182232,
      7.09294254115086e-7,
      0.0000050101307232523,
      6.98982129386747e-8,
      0.0000241929285841007,
      0.00000230500304960762,
      0.00000110864748527125,
      0.0000122861112310765,
      0.0000181513561243481,
      2.90580123019029e-7,
      0.0000197665679540445,
      0.00000189385262401693,
      0.00000119586044151435,
      0.0000152992111740007,
      0.00000115313541008417,
      1.65844677270368e-7,
      0.0000614750239462668,
      2.21794785359273e-7,
      4.38613889599411e-7,
      0.0000060359388550471,
      3.93884049667816e-7,
      0.00000267467105696694,
      0.00000788320733160524,
      0.00000539403340330977,
      0.00000130666005043264,
      0.00000344592274006091,
      0.00000578859906666873,
      7.48725080256816e-7,
      0.00000290924945272156,
      1.6793793510587e-7,
      5.25081058997663e-7,
      0.0000593454803742384,
      4.26942265013929e-7,
      0.00000329438624382311,
      0.00000960144176216502,
      4.95447397585316e-7,
      0.0000112253081878325,
      0.00000876619001081791,
      1.51411181886034e-7,
      0.00000487027693057651,
      0.00000476222047656385,
      1.45531474912436e-7,
      0.000021082544630836,
      0.0000939398970849137,
      4.47819111577637e-7,
      0.0000514311918692838,
      9.51620760282638e-7,
      0.00000209302700331286,
      0.00000328772297782877,
      2.65258712418427e-7,
      0.00000657212594977391,
      0.00000855706271214098,
      0.00000143853423674887,
      0.0000155082339417374,
      0.00000698124405871006,
      1.90541583698896e-8,
      0.0000156270674345446,
      0.00000491790190189611,
      2.27665230616815e-7,
      0.0000243247386242333,
      0.000171619531563269,
      3.33799350350043e-8,
      0.00000543697848537532,
      0.0000107193345843895,
      0.0000033953671471127,
      0.00000337989116246417,
      0.0000021478561434645,
      0.0000158403005874563,
      0.00000508645340333832,
      0.00000154941696330102,
      4.87311800593715e-8,
      0.00000293495287024237,
      0.00000440590976558659,
      0.00000246458934941454,
      0.00000330795445012539,
      2.38135480118945e-7,
      0.0000250978946237257,
      0.00000656418024193146,
      9.13086690011738e-7,
      0.0000460830294953237,
      0.00000119760932204987,
      0.00000310602428137561,
      4.97581044613388e-7,
      3.15729211991508e-7,
      3.09209375793129e-7,
      0.0000725439947263596,
      7.20934041574841e-7,
      4.62603552935073e-8,
      0.00000641495159778246,
      7.5410866422172e-8,
      0.00000124537626061653,
      0.00000339406019192341,
      5.23876787234704e-7,
      0.00000671996484061256,
      0.00000367449411036887,
      0.00000379350402800611,
      0.0000818311873750396,
      0.0000350259114436439,
      6.64976717989642e-7,
      0.0000238159508665175,
      0.00000908891750377821,
      0.00000283656572909128,
      0.0000165068422899835,
      5.4709764822096e-7,
      7.34502728086842e-7,
      0.00000206624957509373,
      1.12205077277739e-7,
      0.0000027260067827003,
      0.0000353999417014708,
      2.1813468137472e-7,
      1.22323870425732e-7,
      0.00000330217318228604,
      2.94389609830519e-7,
      0.00000385666855690575,
      0.00000946600668733006,
      7.23128648474233e-8,
      0.00000732246884090683,
      5.70409986529949e-7,
      0.00000162856947453915,
      7.5179683328393e-7,
      7.54156363732345e-7,
      0.00000178751971613104,
      0.00000727300589288375,
      0.00000529055530600713,
      0.00000393875742040479,
      0.00000437835640134663,
      0.00000158883675056863,
      0.00000475566602931769,
      0.0000131131618864009,
      0.00000345035577537097,
      1.53016250092394e-7,
      0.00000767710603549549,
      0.0000064964920045061,
      8.59254393415897e-7,
      0.00000515277826220609,
      0.00000148593998983382,
      0.00000555314124718957,
      0.00000811173113325079,
      0.00000845207832401842,
      0.00000937325868275794,
      0.00000596431628925802,
      0.00000117495191149803,
      0.000011128053800842,
      0.00000413784580976854,
      0.00000191321136602484,
      0.00000211811525416726,
      3.39944919675815e-7,
      4.61015929391914e-7,
      0.00000464851087392892,
      0.00000156261409779135,
      2.29781687240431e-7,
      0.00000810033048357685,
      0.00000374894658151388,
      8.7828115225672e-7,
      0.00000647567495865824,
      0.00000685724369653825,
      3.16609942641038e-7,
      0.00000139611579945319,
      0.00000177284610659851,
      3.92103587090095e-7,
      0.0000016540567466427,
      0.00000114577953488755,
      9.24083135490924e-7,
      2.22564795970112e-7,
      0.0000036703525621233,
      0.00000232730445623907,
      0.0000109477490328144,
      7.23764472091198e-7,
      0.0000394587786043405,
      0.0000155023320233675,
      0.0000117739098186149,
      0.0000143387927900162,
      0.00000122480597818382,
      4.1880802907015e-7,
      0.00000106803682060145,
      1.7374779699616e-7,
      0.00000226183232672875,
      0.0000307900805239429,
      3.10379521625631e-7,
      1.64394878479176e-7,
      0.00000341848545504779,
      2.35021520166978e-7,
      0.00000368951027554868,
      0.00000554909467811131,
      0.00000258981724063644,
      0.00000347136801799306,
      0.0000037265835423695,
      0.00000262892586466491,
      0.0000454619558211381,
      0.00000837032016586096,
      0.00000284900964310917,
      0.0000163554513871457,
      0.0000132380971783655,
      0.000019501850816821,
      0.0000469291546670475,
      0.00000580082144227182,
      3.65320202327454e-7,
      0.00000302871596015262,
      0.00000155560336225765,
      0.0000017773863192989,
      0.00000698325298166414,
      0.00000350611029610015,
      3.16641244408375e-8,
      2.50901572748198e-7,
      1.36767927131763e-7,
      4.62743962533956e-8,
      1.26995538053591e-7,
      1.1520404195585e-7,
      0.00000123565779939714,
      2.42288698572282e-7,
      7.60291431627312e-7,
      9.3251886144284e-7,
      4.84046961183334e-7,
      7.63950787396044e-7,
      1.04028583407527e-7,
      6.22604121665663e-8,
      0.00000290427930457772,
      0.00000120188423313152,
      0.00000225150334207573,
      0.00000170960458734209,
      0.00000159673600378409,
      0.00000431495801552652,
      8.93542611423482e-7,
      0.0000080876914002173,
      0.000258756267901569,
      7.054437009028e-7,
      0.00000128227456393553,
      5.27442097013985e-7,
      0.00000346063022881793,
      0.00000957200499204058,
      0.00000757343638125927,
      0.0000119447594927271,
      0.00000828050202618257,
      0.0000208043791375698,
      0.00000706505223574023,
      9.90189153990008e-7,
      9.99695193002096e-7,
      0.00000645672304937151,
      0.00000782732933023621,
      0.00000208298528271449,
      0.0000168092109293919,
      0.00000100259768857423,
      0.00000313990149208594,
      0.0000471563071595117,
      5.53755945700969e-7,
      0.00000522568690102546,
      0.0000116900856610778,
      8.78304385921404e-7,
      5.4754112825799e-7,
      0.00000237472793668503,
      4.21560882645112e-7,
      0.00000194468643938793,
      0.0000104358418460276,
      0.00000159057597356828,
      0.00000186242293870125,
      0.0000036807713504435,
      0.00000408746334957248,
      0.0000048832294610378,
      2.86523577547042e-7,
      3.14105061423839e-7,
      0.0000355952687354824,
      0.0000167500867259817,
      0.00000422178404899813,
      0.0000248160044514586,
      0.00000178981489388774,
      0.0000028435231861968,
      0.0000520663487121767,
      0.0000212241371387162,
      0.0000119212835438897,
      0.0000168377731002143,
      0.00000210047105111066,
      6.77721960725356e-7,
      0.00000127835224855346,
      0.00000246519077740348,
      0.0000336103505365191,
      0.00000818885589205844,
      8.69570137784533e-7,
      0.00000836694450453364,
      0.00000495221020368708,
      9.25426305204641e-7,
      0.00000911863850901187,
      0.0000054942177237572,
      0.00000101029925991673,
      0.0000518090223927418,
      0.0000491652669666886,
      0.0000112214042685989,
      0.0000231621192175312,
      0.0000236709634419152,
      4.38299302405677e-7,
      9.44999151234899e-7,
      0.0000047395284441012,
      0.00000893937291917264,
      0.00000855219286403508,
      0.00000384823330475004,
      3.90822519059186e-7,
      0.00000134433058206523,
      0.00000399592637528814,
      0.0000234776693021375,
      0.00000189385241990472,
      0.00000370974382225609,
      0.0000168480897982082,
      0.0000247186270345011,
      0.00000261055051996554,
      0.00000281189730986834,
      0.0000045540486099751,
      2.04155677410631e-7,
      0.0001191859177174,
      0.0000261684677914261,
      0.00000904394362619747,
      0.00000467062460691548,
      0.00000118811128545565,
      0.00000367238501561118,
      0.0000161432353244692,
      0.0000138240533876776,
      0.000127135299809862,
      0.000027368466531745,
      0.00000144739614676984,
      0.0000467296251504002,
      8.40703411325841e-7,
      0.00000504589632375466,
      0.00000842840049683673,
      0.0000156466007906623,
      0.00000640626746747355,
      0.000906740835303383,
      0.0171990677982201,
      0.02182553488958,
      0.021728543053083,
      0.021728543053083,
      0.0304722188136472
    ],
    "spectral_contrast_curves": [
      31.0835340512871,
      36.0847162810209,
      28.5348634980737,
      24.9988649447186,
      37.6463693750882,
      37.4525018768742,
      29.5154509995327,
      35.0988710145492,
      27.1625338039996,
      27.1501992479469,
      38.9054847614919,
      34.452637670054,
      30.1191374536356,
      34.4784584488279,
      25.7836233939079,
      31.4055306333736,
      42.1140746854925,
      30.5477559319298,
      32.8345435508098,
      31.6399024079879,
      29.9572146109233,
      32.3808154465859,
      27.8670169148658,
      35.8293669226337,
      37.7158888603068,
      29.2547012325654,
      27.8871969348215,
      36.7457146200658,
      29.1224429990626,
      29.2027097078393,
      35.3061120824404,
      29.7181252992426,
      29.4427316452269,
      39.7817252939119,
      36.8955109496716,
      31.6970950596137,
      36.5621019151609,
      28.3545412839901,
      31.1323073257032,
      37.8803388885884,
      29.2743966906433,
      41.8442108920107,
      42.2605077131019,
      42.8568096221334,
      34.4118246464187,
      38.5687895513174,
      40.8938768720971,
      44.5497674114208,
      41.6442003785363,
      52.4544927677024,
      50.616040146447,
      42.8055534526111,
      45.3435522356439,
      46.4972491985963,
      41.4281555679216,
      39.2616324472704,
      41.5953739926045,
      40.6778720997114,
      41.8938936401866,
      43.0690578612105,
      38.6131381540106,
      44.1248488755765,
      40.5838434596253,
      37.4915432312447,
      43.4067388185179,
      39.0369678187565,
      37.4741704341503,
      39.2974316581093,
      42.2222675994021,
      35.6258378822447,
      40.5505353965632,
      38.9556532922851,
      44.6978430981659,
      43.4373207840294,
      38.9762470059879,
      41.0598120820119,
      43.4570517463996,
      46.1673286495175,
      39.6908597315573,
      42.8660655888347,
      38.3197851245575,
      41.8002219248309,
      45.2859106244415,
      38.0822521719051,
      41.1628373900888,
      41.9001294905441,
      37.4024357986056,
      45.2602234778834,
      40.5561359699825,
      40.5291302405866,
      37.8044861276062,
      43.9872744547241,
      45.2036614409862,
      42.0985171960772,
      44.9083691211906,
      40.1381707133123,
      45.7958402541002,
      41.887652059599,
      39.5846785407567,
      42.7053690111928,
      39.774618993144,
      39.881136417269,
      42.4850786092122,
      42.6636909202756,
      42.025789551314,
      39.030204367735,
      42.7407963553216,
      43.9741879768205,
      45.2016295894134,
      46.3948576177286,
      38.3054634642962,
      41.0054560625588,
      44.2689789682412,
      49.3883606018594,
      46.3006342178525,
      47.3344242896216,
      42.156875878918,
      41.6502065498779,
      44.0602355304577,
      41.8291720543177,
      39.7097613704819,
      39.5675479563265,
      38.7626054332314,
      42.3625970748317,
      41.1363012326425,
      43.7465594316286,
      41.9782996505978,
      41.7504291512796,
      38.8552528704718,
      40.037705014889,
      46.7755474180342,
      39.539033241455,
      45.3417839811687,
      42.4750453931839,
      42.1872702006098,
      43.4330852628074,
      48.053104682753,
      41.80607628347,
      55.6732009280173,
      37.8800508075919,
      47.3631347935336,
      43.6757947923749,
      44.2032125487089,
      41.6221962717991,
      44.6510569185007,
      38.5006696468027,
      44.4125014219844,
      37.6294094877015,
      37.8463084746089,
      35.0306562880645,
      43.7237315638293,
      43.2249807487858,
      37.1005249347955,
      38.2854678693745,
      39.6063017352157,
      39.4696776170177,
      39.7059329892194,
      43.1032092768263,
      44.0868288154404,
      41.1921105975963,
      39.9736544134511,
      37.9276902360531,
      40.5361760967298,
      46.822385628125,
      42.0883962928541,
      40.5267901127586,
      45.175080179666,
      42.5151094360584,
      44.2757047250738,
      44.6905236995508,
      42.7436068036629,
      42.7620735691794,
      37.7075591838123,
      47.7327316798554,
      46.1444561065252,
      40.7671982359695,
      40.9232033934281,
      43.7801824145893,
      46.403839526523,
      44.7619207437442,
      46.2364344913136,
      50.0727978084183,
      43.8364696179815,
      44.6726237724938,
      44.5625139004726,
      37.6309619860482,
      41.4456287700385,
      40.2831739287199,
      49.8996842328409,
      42.5694706205278,
      39.808736046465,
      45.2352870213611,
      42.7658389175863,
      42.4820994808722,
      40.4296038559256,
      38.7551240276175,
      41.1471459427148,
      38.5223602799297,
      46.0901096544346,
      44.9392695800579,
      44.1399460375564,
      44.8969597875826,
      47.5422112774501,
      40.3607107209907,
      44.4783552125869,
      48.2071951486608,
      46.4915853910452,
      45.0887553811769,
      42.092986834028,
      40.2430952103939,
      43.774457454474,
      38.4271150425233,
      39.9209584705196,
      47.6546834077395,
      43.7128828948785,
      38.3959960746052,
      44.0842461489476,
      40.1846390321911,
      47.7357087910582,
      38.7013431370482,
      44.5892100341706,
      45.6350898736406,
      45.0198771772489,
      45.5519271434586,
      48.866483328973,
      40.682443583892,
      42.2780487478048,
      45.3685954779994,
      46.2704082930553,
      48.3393403582226,
      45.4785059302383,
      42.7621385891688,
      46.6676333771186,
      44.2292520090215,
      41.1025803641364,
      48.5893714960113,
      47.2608254979219,
      44.3438335426957,
      40.7125008989265,
      39.5291883745245,
      47.55953226929,
      41.8993579016764,
      43.0957894542025,
      41.5996810413955,
      38.2788726000301,
      44.5965907693423,
      35.0295048445715,
      39.4736396299687,
      42.0010183092624,
      41.7539787151169,
      41.8615073030393,
      35.9315948611588,
      42.6735878717365,
      39.7813864473304,
      43.7805005094975,
      38.443819773178,
      45.0295349650123,
      42.2999101297919,
      42.5819926517604,
      44.0029544924059,
      41.5207779640873,
      38.6007425136112,
      41.4957057292549,
      45.8717225522314,
      42.4067150395362,
      42.8591681921676,
      41.6898818700245,
      41.184200494385,
      46.0545080870732,
      37.5331125701299,
      37.7714342563744,
      45.8724259670504,
      40.9873401176794,
      42.8440446292015,
      46.8478800780466,
      45.3483665775102,
      45.4062824793125,
      42.2577153092071,
      42.1140454370937,
      43.6081439485971,
      39.0859982970297,
      40.6256742686344,
      34.6098200037849,
      37.8780247880776,
      36.917786102633,
      43.1680961195528,
      40.7137798533197,
      38.7991031324578,
      43.2775920182049,
      37.1893213324312,
      49.166284342142,
      43.2253840577685,
      46.6697127143362,
      43.1035599857647,
      46.2059515317216,
      42.7769718671307,
      45.410634609243,
      49.4345965804718,
      43.0332227687552,
      46.9778719332879,
      41.1847570977295,
      39.597019572445,
      41.6729227878123,
      40.6749409197462,
      41.5087818016271,
      43.02123813334,
      41.5606738598613,
      40.1056226050403,
      41.3744160823242,
      42.9747163898582,
      46.1783782183718,
      38.336525881372,
      37.222640830053,
      43.4066650719071,
      46.4341709590017,
      47.8865588673793,
      44.0060924327887,
      41.3271161977278,
      38.0637770286577,
      41.9698365560529,
      47.91712960634,
      47.1321072421766,
      48.8478811563797,
      46.5320850794209,
      42.2001753329002,
      43.1858004389004,
      41.1951581899659,
      38.0510341452176,
      40.0842335730486,
      42.9972359065991,
      45.4162463797457,
      45.9066103529406,
      45.5315896474974,
      47.2821212697382,
      50.5314554953685,
      47.3850811384291,
      38.1627705903037,
      41.5954596350574,
      37.751871326428,
      43.3320822076931,
      48.8080291346574,
      26.1509853661305,
      33.6283877003082,
      43.7634117325308,
      44.3330539827778,
      45.116809467867,
      44.4392202040903,
      41.3929616727439,
      41.2881572081666,
      39.4684813582821,
      37.9943360533451,
      39.3701723185411,
      43.3789711803428,
      43.1344902761106,
      40.3453161770558,
      38.1826484256202,
      42.9272910327553,
      44.9244578976298,
      37.5392753650562,
      45.5331500614316,
      44.3612295393954,
      47.9405860416227,
      39.616608906188,
      44.4880432053087,
      48.3363585405253,
      41.153672168944,
      46.6919647893686,
      41.6882544098939,
      45.0908525815699,
      40.7537518853883,
      42.0617369671174,
      43.1785265942048,
      40.0376542461178,
      42.496397175456,
      41.9115606087766,
      48.0259702927757,
      42.6830629034618,
      47.9333572071385,
      37.4384321351105,
      41.7664819248821,
      44.2310314334175,
      39.2044483378591,
      42.1910724282244,
      45.7207144142307,
      42.972482211419,
      40.0590393444549,
      42.7228710831861,
      40.716156882459,
      43.1784231795809,
      46.0343383834875,
      42.9726998757464,
      45.4430957789195,
      38.3667131082192,
      43.1070359416915,
      42.1834904700937,
      41.2610257947233,
      40.8023352542653,
      39.8397558136396,
      37.7261621471833,
      45.3285964408389,
      41.020743146126,
      42.8709618718565,
      42.5591531492839,
      42.8289861193851,
      37.1604776953775,
      41.2673491465284,
      41.2873166432041,
      44.9447718821748,
      49.0977499256786,
      43.5124615920284,
      45.25356569216,
      42.0362170302234,
      49.3953167428305,
      44.4966903819474,
      38.1162587841314,
      44.8661156840906,
      40.4529882180662,
      47.0317322323223,
      37.7591891979481,
      43.9815340057065,
      42.3505548334389,
      43.6490369290331,
      44.5011817343923,
      45.376296665584,
      42.5928481664049,
      41.0201279676736,
      42.4578432705194,
      45.2564077608617,
      46.8831487439657,
      43.9577757111182,
      39.4128080615809,
      34.4827994867195,
      30.1411382648626,
      34.7555469746269,
      33.5697140248363,
      41.5541061816,
      45.6986586209396,
      45.746985664849,
      42.4246720554587,
      35.0515245832862,
      32.7152331953003,
      31.8698846161296,
      31.3873123708858,
      30.869148403097,
      30.878911969072,
      30.878911969072,
      30.604304723144,
      32.0024209979203,
      40.4344344276234,
      44.6059434362461,
      50.1264258590551,
      50.6259719440522,
      48.6807470618594,
      51.8825629838711,
      45.836780923548,
      56.4425239981474,
      50.390130221784,
      42.7815200619709,
      32.2404835545404,
      31.8238099387536,
      54.5305476548617,
      46.4818784770161,
      42.4546506584442,
      50.5390378591554,
      47.4236029717886,
      29.9789663974369,
      58.4773223489903,
      45.2089105369044,
      40.805010156599,
      45.9419171314885,
      45.5789682419074,
      38.3529635047775,
      46.1991377607071,
      39.1988816836251,
      48.6299202932854,
      48.8518370055001,
      49.9950064867985,
      46.3716550031527,
      54.6746939921302,
      49.9127474984532,
      46.0074105492671,
      26.9675971221016,
      31.8558632110911,
      41.4697031962026,
      50.5240447384578,
      45.330619561362,
      40.7980095640936,
      42.9988287157323,
      38.5255911852365,
      35.4843482466761,
      40.2471095716105,
      39.0705984686562,
      35.3488563491243,
      33.9016257373066,
      33.59194586894,
      33.6278561918901,
      33.6695413935742,
      35.5354358517671,
      32.9682919058125,
      34.0894302766664,
      33.452127207953,
      34.7985228651556,
      28.7776878911958,
      29.9837957334295,
      34.9952045021943,
      31.073654225403,
      32.2535232121601,
      37.8814590932226,
      31.9369698165196,
      32.5617487826581,
      33.3992134165652,
      29.8805416432607,
      32.5800265518064,
      38.0682152030944,
      40.8165113454937,
      37.7177333715343,
      40.1958387737725,
      38.3024014927052,
      35.0070059603745,
      30.684718208149,
      32.1564353051009,
      30.4313968959811,
      35.6863896393216,
      34.8486127381451,
      29.0143832314523,
      31.3618414065509,
      28.3883297724236,
      32.5943268462458,
      30.2014588716792,
      33.2033237022973,
      40.9619206732309,
      30.3921352799435,
      31.9669240596581,
      30.4242077843719,
      31.2497911385916,
      30.3357674725624,
      41.981740309337,
      34.624471724142,
      29.2007217315164,
      28.159474225583,
      27.760763822952,
      35.8457659457609,
      36.5853020943695,
      36.7857551006073,
      32.2619766249041,
      31.8512022882228,
      27.9792146487914,
      26.673793598593,
      27.9108651195137,
      31.4403723584545,
      29.4057646049277,
      38.1386692937241,
      37.8415038599686,
      30.7778077049285,
      35.4245455956446,
      36.6575478763998,
      39.4250535250797,
      37.3399830089976,
      29.9011750194031,
      30.6483005179579,
      39.8563161021539,
      28.5646001992908,
      33.6932417554969,
      37.8607377695561,
      33.5768532294013,
      30.2350236151316,
      41.2279148662085,
      28.7546597330948,
      26.9687330508682,
      27.7826650627491,
      32.9679420326903,
      31.6800375659314,
      29.4895590607302,
      32.553319100503,
      37.6011798402286,
      37.827000478716,
      33.0623568068511,
      40.5719702326296,
      32.1840789638996,
      38.6590041946359,
      33.6626612279727,
      34.359222084893,
      29.8439225609139,
      31.6250719583724,
      36.4436998018544,
      31.1309737708719,
      28.6170760245384,
      34.1459567282792,
      30.2374065545414,
      31.8613041638218,
      28.2226913263238,
      32.2941090755466,
      30.1655700246621,
      25.1955129555412,
      26.7298916736421,
      33.5234591788669,
      35.4561919064941,
      30.4240766970334,
      33.2172461497038,
      35.2228228919719,
      31.8959501141889,
      33.0260479216604,
      33.5259710096442,
      32.4116758721178,
      33.8100127416963,
      33.8353915862287,
      29.5918997064731,
      29.2223327153304,
      26.3085533647753,
      32.4940487624409,
      31.4859370894073,
      28.1988596061944,
      27.4498815059905,
      34.5865102143246,
      33.6248090718248,
      28.5281475258457,
      26.8063482357766,
      24.5495602957087,
      27.6079101233424,
      30.5097605511404,
      32.608725269207,
      28.4869375293601,
      34.2082648673229,
      28.3892202936926,
      33.1924608535133,
      31.8072762888766,
      27.9450449834544,
      29.2754735809091,
      25.1099532706259,
      31.3754594060909,
      33.2214431718021,
      32.2422591245553,
      30.4418742131767,
      30.8635018316719,
      31.6290611812616,
      31.5434089218512,
      30.622110796103,
      29.2347455077812,
      29.4898555587104,
      24.5307624607478,
      26.7183237860075,
      25.6947159294783,
      24.7026723042061,
      24.6481604666452,
      29.0803189454677,
      29.0024039063636,
      36.8446640494312,
      32.2921472531669,
      29.8843376608511,
      30.899963274826,
      27.3776611426549,
      26.8106713003109,
      33.8333695964001,
      31.0931846289727,
      26.9266222024285,
      31.5015399459578,
      30.3025481927506,
      28.2896386536691,
      31.6447237887711,
      29.7841548374111,
      30.8992218677696,
      31.232419447492,
      29.2854860232047,
      28.6356290693353,
      31.9618210287455,
      26.3729688344003,
      33.3034597195929,
      29.0063325717342,
      27.3384067958482,
      33.6175367383867,
      30.3644093321555,
      35.6456074171089,
      33.4892468665739,
      30.128762114885,
      29.320938430297,
      33.3233293350744,
      35.4225174056304,
      28.6868442971992,
      32.3855520891985,
      31.1958066806739,
      29.455147421955,
      25.8474367751549,
      28.9953143082692,
      28.8675294048119,
      27.6255479957252,
      25.2481842498099,
      25.8909168070597,
      33.4873021545796,
      32.9605096990891,
      31.2445452948238,
      30.8669168236021,
      32.3178724189952,
      31.1722650174583,
      27.9528153385722,
      31.659055232827,
      28.3597239498276,
      28.7288455411574,
      30.0923360074502,
      32.5941331903451,
      27.5894223816494,
      29.7359448861294,
      33.6331113826683,
      25.6794840466311,
      27.1522917957532,
      29.8976573222685,
      29.1288095894942,
      32.9550733359112,
      28.1041667837569,
      28.0251375369028,
      29.2534673858162,
      29.6034236305035,
      24.2362235961265,
      28.8037300274882,
      28.3852907938022,
      29.8538344123856,
      26.393499525296,
      30.0557907396197,
      28.3411357047579,
      26.4317040407612,
      31.4374870161558,
      26.0119183579773,
      30.4997095861352,
      32.078205135518,
      30.0633260681658,
      32.913807825825,
      32.3819608558527,
      30.7889545250206,
      34.1018747046873,
      33.5825938977968,
      30.0858969158491,
      26.6114979486287,
      28.0083447627264,
      23.2733965248871,
      28.1231859323648,
      26.1191778274285,
      28.0121925098652,
      35.6854322443216,
      31.3214029404385,
      35.8485786227575,
      35.8391283676531,
      36.7119294462075,
      35.3218139726861,
      27.6319222419977,
      29.3431374553199,
      36.329522858399,
      29.5002617798147,
      30.4306118240928,
      35.9956365684009,
      30.7361858003494,
      27.4030707412703,
      33.415985118424,
      27.1523587754607,
      27.8508828469355,
      28.1037064167805,
      30.1086132555122,
      26.6767108516824,
      31.0077880598311,
      30.4892133707947,
      31.0325914082542,
      34.8885048582766,
      34.75718597056,
      36.6116376523895,
      31.9719398033287,
      36.1642904881293,
      30.8350473781476,
      27.2561308575679,
      26.755788299483,
      34.4417812886633,
      39.5469639583162,
      36.5701719611001,
      40.1549594063451,
      37.0436173543599,
      36.7508046308463,
      37.7477634492053,
      32.9205048693499,
      35.5249600500995,
      34.5748500300294,
      38.6848206976117,
      34.8652466687047,
      35.8936800559307,
      35.0657838278687,
      32.5243932270594,
      33.434091445029,
      32.7039803541248,
      31.2444978958606,
      32.2034952233893,
      32.2429860971546,
      30.8869725279519,
      42.5901161242711,
      41.6067433795982,
      37.1718267183608,
      33.1287554700897,
      31.2981575965185,
      30.5259099750948,
      32.5988386382138,
      31.0691268808668,
      33.4052482099245,
      30.6555362914837,
      30.6816841140995,
      26.9865058827087,
      23.8756961425695,
      27.448580166894,
      30.5928014714756,
      26.5995735387514,
      27.0420240231037,
      29.2419397622273,
      28.2277431314333,
      28.538239912424,
      29.6977062236793,
      30.0877622269235,
      28.2790727783537,
      31.7432098439892,
      29.7996905920675,
      32.512908783518,
      31.3505785024983,
      29.8873386786725,
      38.1545019130252,
      29.97722918511,
      28.5773492279079,
      28.4923144982999,
      29.9293579907155,
      30.8841213288592,
      28.2200285288882,
      23.2546630519392,
      25.6040529021841,
      24.2572149830931,
      28.8229513462901,
      29.2183868565583,
      32.6648895402986,
      28.2829814695352,
      31.2066783882891,
      33.3647971022937,
      33.2213079410868,
      32.3546290540505,
      30.6068640337753,
      26.3826247239294,
      29.0852683787672,
      27.9782983655704,
      30.6682474247215,
      31.535760834933,
      27.9110740730058,
      24.869241931808,
      28.1337986640099,
      29.5791173417265,
      32.2274472246325,
      31.0661550890732,
      30.3101287139277,
      25.1676842161478,
      25.9780528047323,
      24.1133603793927,
      28.8715715815474,
      33.0220530667774,
      28.9874344999773,
      34.0709592776179,
      30.9040240056713,
      31.80763401688,
      25.4894820756122,
      28.4829833782781,
      26.3644813675073,
      34.4880789305135,
      33.4352044550846,
      31.6685404383399,
      27.6986361045323,
      26.1411630121644,
      27.0423355391753,
      27.4368534304448,
      28.0735566741797,
      29.9446983308973,
      25.6478546908355,
      28.5432772453418,
      26.9329137411228,
      29.4615614473195,
      31.2288210084243,
      31.6358966332558,
      31.3815240047705,
      30.6522253732883,
      30.7879250511303,
      28.7787684173009,
      28.9612244802993,
      31.5523191966151,
      28.1069345372448,
      30.2287676546199,
      30.1004469060779,
      31.4974671635771,
      32.5824616876381,
      36.1714973555754,
      28.6590403766939,
      30.7566958481911,
      30.4294876837896,
      25.9520468891242,
      26.1437059063209,
      26.1437059063209,
      26.1437059063209,
      26.1437059063209,
      36.8727391211535,
      47.4898511934342,
      50.1590100151633,
      49.5027708022754,
      44.6161179957112,
      48.4619922297869,
      51.5218481569921,
      45.4336545116416,
      47.7679795675461,
      40.7682904665869,
      40.371523156482,
      32.5822060042921,
      37.5320733446425,
      54.2287634082246,
      51.2563485552783,
      40.6174823209351,
      44.3422402241502,
      45.2214031632449,
      31.2685879194909,
      54.6550515434875,
      48.1568496072027,
      47.3428948907536,
      45.8255991399935,
      48.4703279975219,
      47.5201096953176,
      52.0199659327572,
      47.3005885129884,
      43.6853534330249,
      49.6978957221578,
      49.5233562702427,
      46.2295367725723,
      51.3133073419048,
      42.9330170799879,
      41.7154256112752,
      43.7694974553186,
      45.1180415491061,
      45.5187547264593,
      50.0004085931267,
      46.0909977426837,
      49.9103881771913,
      44.9822619971781,
      43.7356146261848,
      43.6305165092998,
      39.2885071414419,
      36.791819958359,
      43.4967568134226,
      38.0095546870428,
      37.9950972658462,
      34.7469025639987,
      36.4310774692247,
      41.7591623750378,
      38.335362792764,
      41.4109648434584,
      45.7593876791018,
      38.6125117225163,
      44.0277321230492,
      39.7768237563517,
      42.3921662488208,
      43.5188007940933,
      48.3360566866781,
      34.7101111928421,
      41.55841630365,
      43.6143845168428,
      44.0916299183924,
      34.7332109232797,
      39.7935883184793,
      41.3306645221316,
      41.5017253028718,
      33.2080549889611,
      44.0768393694349,
      37.6182844834394,
      42.0082026024167,
      47.7899040985252,
      42.9860582816527,
      33.5898293626562,
      36.3278497809914,
      35.7246922066237,
      41.1620443584811,
      39.2553150503733,
      36.4186698042085,
      46.7492090230044,
      36.0697685886752,
      40.218169240286,
      36.7814085722564,
      45.511789568386,
      36.1895372165217,
      35.293473191973,
      35.419936850805,
      34.8216663273704,
      44.0814037351893,
      53.4315039495794,
      38.177098223173,
      45.6085200269172,
      40.9792649925373,
      36.385459695226,
      38.8925781664506,
      42.7387389471699,
      52.5040631823047,
      47.395109576863,
      42.1978667201407,
      39.2792508645716,
      39.3083828297235,
      39.518306636511,
      42.1491428846762,
      41.1250927972072,
      36.0219432286535,
      39.5835154597706,
      40.3985126377909,
      38.6312077635127,
      39.3544371817845,
      47.9552294369484,
      36.9636517705585,
      38.5466007564438,
      39.3052044150655,
      35.9068981437731,
      41.351205189503,
      38.608827828935,
      40.8088072608041,
      33.9116275377277,
      42.5749751042621,
      33.0273870252449,
      40.1197479588606,
      39.5049728422334,
      36.5638162629693,
      44.2802093505901,
      45.1715118180066,
      40.5742384820632,
      39.7592425988322,
      34.7764222645507,
      39.4512214106298,
      42.0167964015778,
      39.9921186475571,
      42.0806494353777,
      42.7111369402236,
      35.3788797448684,
      37.6722299897303,
      39.666521350577,
      40.9266196521662,
      40.4082500758261,
      37.6191664266522,
      37.1844227769932,
      39.6441072422107,
      40.4570368279549,
      37.8870506474197,
      34.0756610393647,
      31.4853512973795,
      35.2510989446651,
      36.5321670332118,
      44.0607483121426,
      44.0348161488904,
      48.6349261372243,
      41.1085637450038,
      48.9476634911186,
      49.7642813883219,
      46.7765117947669,
      44.8314667972521,
      49.4009541085397,
      40.9047683055384,
      39.6883919948524,
      37.4125452249543,
      36.2310399151162,
      33.6532351727635,
      37.7845463014096,
      40.8104303329327,
      43.2584118218722,
      45.6091206401811,
      38.0486695041458,
      41.7410722900469,
      33.6740268104174,
      38.9562770345054,
      33.2424369489869,
      38.7979505838272,
      39.8193598928368,
      36.7564197055378,
      39.4072356702661,
      41.2953551497792,
      36.9355874559474,
      38.875746222843,
      39.7824728046936,
      32.0004247641472,
      38.3556885220908,
      43.3008773715471,
      40.9223224121966,
      44.6137696942998,
      44.5599586698039,
      40.2198803792289,
      42.1994038133948,
      41.3864576723522,
      45.6577105454493,
      41.2815074342174,
      38.7300661667763,
      37.7415611665257,
      36.2949889957678,
      44.0713068620285,
      40.0825892522792,
      42.314472922254,
      36.6603055385899,
      38.5422973393737,
      36.3770293053066,
      36.490904305313,
      33.0836388430652,
      37.5875323310737,
      37.6293437209446,
      37.2207380939162,
      40.3365298759656,
      40.5692505677672,
      39.3696526280949,
      44.5242898044067,
      42.1984590397402,
      45.3865994099935,
      38.5945410199901,
      42.3267369325,
      39.9623613648044,
      41.3392022141599,
      41.625351073258,
      35.8738036308633,
      37.9935150557779,
      38.738741580392,
      39.5959643492775,
      33.2664271637588,
      39.7155214668442,
      41.8698797661139,
      41.509766370679,
      39.424355131866,
      37.6331628193799,
      38.8692482464755,
      37.6577742495405,
      40.3168963245501,
      46.3342458439742,
      43.7802738284648,
      44.9167010049514,
      40.6868923789404,
      42.2387542063404,
      38.4203178966253,
      37.2139842363377,
      41.6375484110078,
      37.1538082735114,
      32.8650900663981,
      35.2377602890464,
      34.2708712914952,
      34.6007435370357,
      43.874012730691,
      41.2678710365827,
      40.4989268864065,
      44.0033765600896,
      42.7977642052578,
      40.7788193267108,
      36.2084014007318,
      43.8327335490393,
      44.8934672879722,
      45.546268768042,
      46.8266712488926,
      37.0391590896902,
      46.9277268385714,
      42.6823569308208,
      42.13617830267,
      36.2813530984546,
      38.6483490064016,
      32.4756664000445,
      35.2671663129145,
      31.7273427857692,
      34.0598305690144,
      41.5115307039111,
      40.4127031236074,
      46.4731053821707,
      40.954803400016,
      42.041979164153,
      40.2353434500157,
      41.1983396475854,
      47.4633594959807,
      34.7908559936098,
      38.1309061642572,
      37.8428021270238,
      40.5926476626571,
      41.2493155303897,
      38.7700541524019,
      41.6750003649195,
      41.7127689752511,
      37.6328474775772,
      41.8671178653371,
      45.5572750909962,
      53.0173505727909,
      43.2135005141665,
      36.667122008724,
      36.4577458711745,
      39.6743483644947,
      39.2744500875502,
      37.1925975622111,
      34.6197653083057,
      41.6464230107189,
      46.636117408249,
      42.3620371887479,
      41.8021092282193,
      40.5021565630551,
      43.4280684846446,
      38.4283504986756,
      36.315172348367,
      41.6570005140275,
      35.2628137013803,
      39.1009459025379,
      39.122229585616,
      37.186275174713,
      36.6924193218343,
      41.6487623305062,
      37.3912267884606,
      41.7458593663787,
      35.6483079251789,
      40.4086111006534,
      47.5192765645553,
      42.7268784189849,
      38.8624001144973,
      39.7955225482544,
      38.0351804662367,
      38.5610954225549,
      42.9784487794442,
      36.3789618219404,
      39.3057955473863,
      38.2774628802068,
      33.392086683604,
      37.2941085184075,
      41.5626332019245,
      46.5673061186472,
      46.270901939246,
      47.8556476576963,
      43.8339789995408,
      45.7264781625934,
      43.2255618426558,
      44.3694222545933,
      40.2748346452413,
      38.6695107488319,
      39.9999639602837,
      45.3671287078937,
      39.0153959972951,
      43.4086064690383,
      40.0893862956942,
      44.4287431432017,
      39.7776377081766,
      38.7955653840375,
      37.1324651945519,
      37.8852370871697,
      39.1924677084692,
      48.0085864589678,
      54.9241401539749,
      42.8952690217092,
      42.8124307266404,
      37.9058156246209,
      38.3160203698138,
      36.7155264954718,
      36.5614902723927,
      38.4759830557832,
      37.4047147436601,
      39.5653696855422,
      34.5368147502529,
      35.8925767832203,
      38.2106626979085,
      34.7782956262815,
      38.9961193767466,
      36.1016808934532,
      38.3222332916541,
      37.032862520208,
      40.5470976795208,
      37.4170926542844,
      43.1222618933839,
      45.2921574729976,
      41.0864042938184,
      37.9236304012706,
      38.9142116381969,
      36.7570980373493,
      44.3282109844652,
      42.1635450799329,
      37.5261499090985,
      41.5678029943263,
      42.0664407692901,
      40.2240077057843,
      38.9675788851099,
      41.7164943557943,
      34.7339283360386,
      39.7991201325649,
      39.9330010577491,
      33.0509435982719,
      36.110782834013,
      35.2886944067177,
      35.0688971430914,
      34.9166425467142,
      36.8095158860169,
      38.9972928370428,
      40.2272539948952,
      41.0424539039088,
      36.8853894507354,
      39.0532441455517,
      40.4384346684324,
      35.0439122403638,
      40.9867359293797,
      40.8550003517472,
      39.1900550676978,
      37.8742379884682,
      36.8959355283231,
      35.0202218046234,
      34.1596777499895,
      36.9846545730831,
      41.917162468959,
      33.2927330186928,
      35.4864811613778,
      37.0587325591427,
      38.792217075906,
      37.8250848869384,
      52.4764221945318,
      49.007932357698,
      41.2008960660952,
      34.7392986869357,
      38.8746459514968,
      41.9136476574826,
      49.0035688538443,
      49.3986071472406,
      46.280392674751,
      43.0768601108777,
      47.2759438748181,
      37.5484843659373,
      38.0059272123979,
      36.8869514241894,
      43.6803832080912,
      42.1018500124765,
      36.9876061227304,
      35.1086053792622,
      34.0597802137712,
      35.5388381454441,
      37.7184507866971,
      37.4809377973538,
      40.1349587633552,
      35.1761513246821,
      35.0651720381942,
      34.9133348644591,
      35.960051602385,
      42.9991345541752,
      43.5802884543982,
      37.035600462478,
      34.9916511922123,
      38.4158768570409,
      39.2780084959093,
      37.2497942449963,
      37.8823091365863,
      30.1428124652921,
      26.1437059063209,
      26.1437059063209,
      26.1437059063209,
      26.1437059063209,
      26.1437059063209,
      34.7286358353695,
      42.3526199757307,
      45.3570082137325,
      46.9072767016629,
      42.6439559474842,
      43.3857417928622,
      43.5134769554426,
      43.2972819434101,
      46.1154247632668,
      40.1258955097929,
      31.151399217509,
      29.212814611987,
      30.0664644506594,
      45.1811861716626,
      49.6094484647477,
      41.462470389699,
      42.3347743888842,
      40.6547577271624,
      29.932778932903,
      52.0817294931119,
      45.1693232175138,
      45.0916012813608,
      46.1299396799826,
      45.905650981716,
      44.2180217695471,
      46.9729201440578,
      45.6881092925822,
      47.043769718193,
      50.443206331371,
      43.3997420673324,
      47.2509281963212,
      51.9306835344614,
      42.0836493892604,
      43.0845178265316,
      47.9497754742605,
      35.1570965498452,
      43.5662859630684,
      50.6880359252378,
      42.3239508675388,
      33.4862954068978,
      38.2631499503833,
      45.0785811108366,
      53.9532622622353,
      37.0573858599069,
      36.4759247572844,
      41.0079379841507,
      37.4912477946701,
      35.0138578492534,
      32.7389584414749,
      34.5689280553175,
      36.5109707056559,
      38.9780294014963,
      39.2390553177409,
      41.5154812764595,
      39.5387751899735,
      37.8193618866482,
      48.5264880096626,
      45.7820371315875,
      52.6196160261453,
      50.6885500195219,
      40.3726645728917,
      42.2140334381119,
      47.8929940695946,
      38.9300340108973,
      27.2452308491536,
      32.4927168199153,
      44.9417022989611,
      46.0571117423009,
      34.1164857258167,
      47.3380838206959,
      47.8118132197784,
      42.6382844070969,
      42.7117443485555,
      44.516964449297,
      40.1628292449277,
      44.5020780633043,
      38.950456690879,
      39.7290945096126,
      48.7875456935085,
      47.7419336651791,
      49.4899875112912,
      42.8004815985882,
      37.3800779596606,
      39.010602161256,
      47.9138093445059,
      38.5023374561364,
      31.7050289343224,
      40.0287463423821,
      34.9461337880622,
      41.7270694149042,
      48.8450345184533,
      42.0051845591691,
      39.2721158077011,
      43.3684810308424,
      48.3800266682295,
      43.8151620583117,
      43.7125537862438,
      51.1206514410041,
      51.1349587966295,
      45.0078761916479,
      42.9349072159134,
      41.6550455099484,
      41.8309172565286,
      40.560963909085,
      41.100625888131,
      37.0661713840146,
      42.6445125478828,
      41.0479615512268,
      43.4780069105899,
      36.8700247054875,
      33.6425870475891,
      37.2991064358183,
      41.5449805920585,
      43.8663930869836,
      45.0363916067617,
      45.5645421497837,
      43.7146836255086,
      40.6211748640806,
      40.1313868431177,
      44.1276059798161,
      44.3865684044348,
      45.0432004336509,
      41.3693898693516,
      37.1205278550834,
      36.3236337557537,
      35.522789427949,
      40.4677747266395,
      38.6801003519709,
      38.8105492037479,
      41.4559941489753,
      39.252376878413,
      44.8926135319565,
      38.7542252864531,
      33.2182698285721,
      39.5657728408793,
      45.1051260855644,
      43.925331695497,
      47.9014173091824,
      43.0236263543913,
      46.2345322186813,
      38.7895843804122,
      42.2030156827715,
      38.7317195382057,
      50.5074364059757,
      38.9935672353782,
      37.4626075326108,
      39.6330279224925,
      45.6990173399847,
      53.2853000029101,
      47.3389656684626,
      55.4515098818724,
      43.9954899245413,
      51.5199065584932,
      43.9305777478119,
      47.8541826876274,
      51.0439096679375,
      52.7405368671646,
      49.5828123465067,
      41.1271759926041,
      36.4421499918273,
      37.6802905150857,
      32.0516644768545,
      40.5644350144201,
      40.4325194330925,
      39.1739996583661,
      47.2621114474997,
      47.4120093462067,
      48.9791303318468,
      37.6584861241454,
      46.039361406116,
      35.2936727871681,
      44.141018489616,
      42.0606920612564,
      41.151338866025,
      39.3872471530992,
      38.9479038767205,
      38.9362057677885,
      43.1119744974018,
      45.2850563106183,
      31.2101085423897,
      33.6685579459888,
      36.4701436523643,
      44.2167192152509,
      44.9838453152081,
      50.9040770251687,
      45.7055896410535,
      50.9320562526035,
      46.8531940989868,
      42.3320311536874,
      40.722892142867,
      47.9390959979006,
      44.5708596025813,
      42.46490925634,
      43.2553301607514,
      45.2794899021525,
      40.6309660778444,
      42.6248528274811,
      45.644962271346,
      39.6692457100118,
      36.7124154018973,
      41.3401269648298,
      37.7049342863304,
      38.7603732510515,
      33.077789332559,
      38.0081724981815,
      35.6602002418722,
      39.231794732231,
      40.8705450358173,
      45.3193488875027,
      42.7967600678054,
      47.6741567727101,
      42.0947644426953,
      49.1671738860531,
      45.6978364188266,
      41.4598174926637,
      45.0421927906419,
      44.1713851954485,
      42.3458955505755,
      34.9561293596162,
      48.5243665480784,
      43.6517080373919,
      43.1353871473577,
      45.5137983706331,
      41.3882502837543,
      41.112834367615,
      36.7604548020615,
      34.7816729436572,
      36.6976209204739,
      36.2840177029623,
      47.4822113459714,
      41.7873038322908,
      40.8272005246521,
      46.1013928563277,
      36.22642835272,
      40.7318885863188,
      43.3808486032445,
      33.3969478541272,
      36.4151604516752,
      39.250075367994,
      40.6387457561116,
      39.2896045801302,
      45.8966329747315,
      45.7708892151903,
      45.8931459310647,
      46.8917484540921,
      44.4349174339548,
      41.8044597688613,
      41.312870604971,
      43.5406124712278,
      43.6233808385878,
      42.7762602486996,
      54.137671814553,
      54.5445009595765,
      41.6068155205341,
      36.3736679927588,
      38.8326228935934,
      42.062157586815,
      39.0487250867711,
      39.2346903460298,
      37.8417632566234,
      33.2581871136696,
      38.0584556194451,
      44.819187929318,
      47.426741862099,
      54.9323570830926,
      56.1669152124283,
      40.5266101363087,
      44.2535874150063,
      45.4436088219394,
      46.1788606720192,
      33.5376246180319,
      43.6863609467283,
      50.7646844635103,
      38.1152498105372,
      40.6340958037149,
      38.2635970386971,
      43.174574918881,
      46.9741709977622,
      41.1106099141006,
      39.6442011182641,
      44.0073593383931,
      46.7206777607137,
      39.2782732293606,
      45.3853268394354,
      43.2139683293652,
      38.6072147863923,
      44.3441798461535,
      38.6105184863059,
      38.589829522893,
      40.7247876527309,
      41.6016652762023,
      41.114870134658,
      41.6936394451718,
      36.676182164303,
      32.3407883694199,
      36.6520930507119,
      39.5393318435132,
      40.865479078737,
      47.0113004181821,
      44.2906427624565,
      40.2745853257669,
      37.2771966422848,
      41.8165463716919,
      44.6634712324643,
      45.0022894794268,
      42.333761819191,
      37.769342560269,
      39.4233802069261,
      36.3754816473683,
      38.421416289329,
      41.2481633071187,
      42.2877415137722,
      37.6651836254924,
      37.0547783325133,
      42.0072866695787,
      39.6722857891078,
      36.5333572276445,
      34.1936913853888,
      32.2157569061347,
      34.773621921176,
      41.0944500660016,
      47.7735260002534,
      43.3151755405746,
      47.6323830432814,
      44.6715428937928,
      42.7618951535453,
      42.9515494494135,
      44.6555507217225,
      45.2972400650107,
      39.032052055864,
      46.3471701102965,
      48.1898510868044,
      40.9716275426781,
      44.4146498846004,
      40.6666682840918,
      43.3898411411295,
      45.8123508866018,
      39.7019261377013,
      50.1919780226444,
      42.6419050401326,
      37.0417748393471,
      47.6021342599863,
      42.2706187049037,
      36.2299134084593,
      50.5238463869137,
      42.2152275958991,
      40.0593866688283,
      38.2049335755456,
      42.676928959461,
      43.2297993171124,
      41.2153070953858,
      44.0376257377058,
      40.4409352075714,
      42.2714495389224,
      40.4970070748392,
      49.4932234270719,
      46.0612622996237,
      46.6275069989411,
      45.9633909975623,
      40.7015315481792,
      37.3399898330698,
      38.2013231353002,
      47.591410727392,
      49.6572015832111,
      44.2109170756357,
      41.6313840398928,
      44.2068721342441,
      51.4696117378766,
      43.5552445212322,
      43.1348879812752,
      38.3206198553267,
      44.3516290233346,
      42.407923272107,
      48.3099446753341,
      43.2531948682074,
      38.9697325406668,
      46.1195813853997,
      40.284174637372,
      38.4207667894525,
      36.619667675803,
      45.0843260158556,
      39.1015725411008,
      41.7403391920795,
      36.4903385529586,
      39.7050804791868,
      33.6057931025353,
      31.6929080444579,
      37.5985863395686,
      36.7317805828809,
      45.8376969025403,
      41.6326980652806,
      42.253990988928,
      45.2752891706032,
      40.1843479035877,
      42.131664967284,
      41.7089725408022,
      43.5177225496905,
      41.1983467606822,
      36.4570965301127,
      42.5301650288983,
      42.4140008361429,
      41.7618019886662,
      39.0360532214489,
      40.7674080590822,
      39.1575949771687,
      39.4148173253948,
      52.2251173866409,
      50.7967881163103,
      41.3913490791062,
      34.0270831600937,
      40.2359913115707,
      37.1499949350607,
      40.6271825307473,
      42.1243068605467,
      39.2098900029097,
      39.8940264069464,
      45.6630042528679,
      39.7501067740601,
      39.1569626412676,
      38.6358065109729,
      43.2904350346369,
      44.0310811699973,
      43.6665592884664,
      35.0250726127555,
      33.8420490350221,
      36.9536542676317,
      45.7438999284211,
      42.9139400797453,
      40.0506651450163,
      37.0947959401558,
      38.0773334647515,
      32.5110283696374,
      35.4536912560688,
      41.6893608330738,
      43.9017326766183,
      42.6709001166579,
      33.5138801350589,
      41.8176118505283,
      37.7543791552664,
      37.6244007978487,
      37.3533883376691,
      28.525129775362,
      26.1437059063209,
      26.1437059063209,
      26.1437059063209,
      26.1437059063209,
      26.1437059063209,
      32.3324256901648,
      48.6658846192931,
      56.4251903188996,
      46.6713328340099,
      38.4600644234871,
      37.0632556983889,
      40.1335818048452,
      37.1505086428285,
      38.0715446828082,
      38.003526878196,
      32.4981662372349,
      28.3783341164627,
      29.7891857607931,
      44.9399067659515,
      48.9574327909725,
      36.0634798655897,
      36.3924949443198,
      38.5631844468959,
      29.2068514862615,
      45.6982247908715,
      39.3337556579009,
      37.2243263050148,
      44.6198939410619,
      51.3658077195025,
      44.1797684677241,
      51.5714857263548,
      42.3637716653532,
      40.880072540248,
      37.4394604464471,
      39.301191101579,
      51.0585091981838,
      50.7661836313077,
      44.2066910681975,
      31.2123915748765,
      35.8948262847103,
      36.7725579084901,
      37.6285803263378,
      53.4666243752145,
      42.323379246826,
      37.7997677664825,
      43.5458048363115,
      45.0104089830617,
      36.5041357714972,
      39.4845353327168,
      33.8693914098236,
      29.3540579221048,
      26.6527842404358,
      27.9455964104903,
      28.449991281338,
      30.076463422178,
      30.5467057816664,
      31.9239013329246,
      32.4688505845837,
      35.4380805495316,
      36.1158711410727,
      38.1668848888663,
      52.0373979954377,
      46.12281140573,
      54.7037565501721,
      42.722622038069,
      31.4562781701859,
      38.0888049847423,
      39.3643731664463,
      38.4578421586753,
      25.9060283455647,
      30.6707816017488,
      42.331334264649,
      32.4384056376582,
      27.9774645108118,
      37.7800209445577,
      27.108530200709,
      31.4320814299921,
      33.6451467935219,
      45.5988739885281,
      41.6412219571944,
      45.1881951740403,
      32.8098402304945,
      37.2992128388631,
      43.6643049137712,
      54.9147661765294,
      50.6764698773236,
      42.5837258226882,
      37.8247490905026,
      35.1598517133529,
      34.9696937933919,
      32.5988560019923,
      32.3883617950786,
      33.9053537760038,
      28.4840024151181,
      38.9739754416957,
      47.1238547978454,
      30.5948887513129,
      36.106416751161,
      41.6500517905055,
      41.1788302419101,
      42.1837033345237,
      42.7690507155529,
      46.4321896861734,
      41.063061846848,
      42.0717757164313,
      36.0414815269697,
      40.0586263398166,
      38.9299922326365,
      41.1309446731419,
      37.2216688036662,
      37.0172451864041,
      41.0195436066462,
      36.9724636171698,
      41.7747153540778,
      43.3104423224547,
      37.8269625905044,
      41.0751440447262,
      43.3987258792245,
      44.0424739746925,
      42.8928201341415,
      43.62191593489,
      42.817153210817,
      42.0093992603481,
      42.0375805791784,
      46.2523974115095,
      43.3881217168595,
      42.7547552213832,
      45.6586398550642,
      39.5165835303192,
      45.7577371859019,
      42.2528616998994,
      45.0390413049472,
      39.9330295797409,
      39.4187698196275,
      38.1837108321509,
      37.3385187147706,
      39.9269822746267,
      44.7187058648597,
      37.7021258700306,
      40.0935490613068,
      42.6806084355299,
      45.0610757294225,
      46.8341965899814,
      44.1699707126466,
      42.4126059324686,
      37.9997183919723,
      44.4481289316846,
      37.501961611537,
      44.6837449767285,
      36.1437618635356,
      34.9494384783051,
      37.9421849445576,
      45.2639809017548,
      53.8912918449297,
      43.5937327829975,
      49.5524778755385,
      42.7381302639591,
      51.7536250665189,
      44.4896060037445,
      47.1432985572758,
      46.356030910049,
      52.2156808899551,
      47.3716306861177,
      37.0430198934215,
      26.983748594719,
      33.4786074889022,
      30.1895964839503,
      40.8838537809237,
      41.3292345565296,
      40.6070480065887,
      49.7871561640817,
      46.7881575969536,
      45.905593199541,
      36.3167955027494,
      43.7182944912724,
      33.2071006695659,
      44.6170505087912,
      41.3494633085349,
      39.8524415186953,
      37.9066134120078,
      38.2366808227314,
      36.9040728300115,
      42.8224957314413,
      41.5262833588937,
      26.7978829338308,
      33.6030183117234,
      37.4057364391346,
      45.2353830624184,
      45.8983122520434,
      47.0256611247247,
      47.0399979931409,
      51.3546149854102,
      48.3274439333754,
      39.9728684778456,
      37.3084146646449,
      43.2056865140706,
      42.8976981989746,
      39.9265302956203,
      44.5628884311333,
      45.4867813999438,
      41.6992578371266,
      41.4951294200485,
      43.8711452528659,
      44.6231968432855,
      37.4801660521601,
      42.087037864378,
      40.8618969480088,
      40.2418620787646,
      36.0915543515298,
      38.0071298261975,
      34.8952669126648,
      38.8785788192826,
      39.5924526368305,
      46.8288206101475,
      42.5305432646874,
      49.8672924610525,
      40.7919563753449,
      52.4672217557226,
      46.432621972805,
      43.8331228676612,
      44.9134702071376,
      42.0002443122546,
      47.4720954897524,
      36.7522572070687,
      48.8077306046134,
      45.2279931092835,
      46.942119422133,
      49.0778625023866,
      42.1565650418824,
      40.2341493553442,
      40.5120709460639,
      39.3875029319517,
      40.6327526020836,
      37.6014753768654,
      47.4148290846477,
      44.5007574496471,
      41.0216305314164,
      47.2946248962363,
      37.162062008221,
      40.960717061879,
      41.4199067535187,
      31.1194256962954,
      36.0414003796812,
      40.5772621285324,
      44.542902890003,
      45.7744410858516,
      52.5473864575294,
      46.9231532805818,
      47.7758167537857,
      42.0454664098922,
      48.5963897555106,
      44.4870869766225,
      37.3828328944111,
      45.1996496301648,
      44.8991385723977,
      45.9577428709522,
      54.9102715612013,
      49.2907075886737,
      45.8930072859346,
      37.2155922825194,
      39.0251800591563,
      42.2129776752468,
      36.6405028681092,
      43.4848904615496,
      35.4450419101408,
      28.8750595886917,
      31.0214344800647,
      43.3017597477511,
      44.5136612541328,
      51.1438574081279,
      52.4213436186745,
      41.5467675888882,
      44.2683862907318,
      40.5126452685954,
      39.4257019527973,
      28.8472266281545,
      43.0551698091592,
      48.6061785290828,
      38.3034213063528,
      37.9792923381531,
      39.8213195166995,
      37.2150810250942,
      49.007102150111,
      38.1298973083086,
      39.2775876301272,
      42.0110567691234,
      45.6847773471234,
      38.3272054035943,
      40.8985281335153,
      41.2985578637384,
      42.3928944592732,
      42.592969439044,
      39.35316504801,
      39.7698632676572,
      41.4935673350334,
      43.1778723119344,
      39.9617388802891,
      40.7334666257515,
      42.7522732636038,
      42.8073889733848,
      36.7941799162994,
      39.3590218232646,
      41.1750239956959,
      43.5399933572088,
      40.0471936937265,
      42.7391849392414,
      39.4929127605484,
      37.6002043874028,
      44.0465494462133,
      41.558593322699,
      38.7609258516355,
      39.1924330028517,
      36.8741974754209,
      41.1883269149408,
      40.4000579030708,
      39.6532093969,
      38.5683829845806,
      37.5440011690139,
      39.1827306791529,
      42.3519226069648,
      36.2105437278068,
      41.0826651623389,
      38.9037663306264,
      36.0595570074571,
      34.788087437981,
      43.0160988922774,
      49.5838406516661,
      45.8656876977534,
      36.0594803104731,
      37.6234977738861,
      34.3335449749463,
      41.2663911569676,
      44.6751817233483,
      42.8216535869321,
      41.0118150564524,
      39.3596602869395,
      39.264138917345,
      40.0398244691853,
      43.7648374081236,
      39.9097800715238,
      36.32365565315,
      38.3729198013715,
      35.2443678663864,
      43.6437650167076,
      39.0372538572658,
      36.2040308241701,
      41.3892279404946,
      40.9554021639668,
      35.6544586354609,
      44.897603847455,
      35.74710304032,
      36.4559469002933,
      39.4362843858514,
      38.9526113798992,
      43.4187400120107,
      37.0303346607836,
      38.1286199083642,
      38.2987700481541,
      38.4604711415616,
      40.8535881814675,
      45.5650780325809,
      45.6828319042789,
      44.6544954043813,
      42.4680142228176,
      40.0961697953825,
      38.0879956317347,
      40.1826795494472,
      47.4303166425582,
      45.0600276498182,
      44.7408838683273,
      41.7044113700457,
      44.8264331806087,
      48.9773583635741,
      42.5842708371785,
      41.0589052366196,
      32.2112053366217,
      40.6378156669938,
      43.9853450512716,
      39.6645626221127,
      35.4771483772543,
      38.5702199933707,
      42.9879832113201,
      40.4223941958532,
      41.5386064305926,
      38.102142503096,
      38.3993877250114,
      38.8415638423389,
      41.1600162711792,
      35.292825045683,
      37.3539726446506,
      38.161912395794,
      37.5120319071628,
      38.5643774779143,
      36.1700927703533,
      41.6755487498983,
      42.460673547781,
      38.8022602732503,
      42.6201448477752,
      43.1431704193068,
      38.9038051355613,
      47.6897374451806,
      42.9098117754415,
      36.7570757260725,
      35.2757537905768,
      39.5820245930367,
      45.9496037068146,
      46.1279708193509,
      40.8347458010767,
      43.3309473689273,
      38.7384320503615,
      38.6302696108282,
      45.909629121862,
      50.8101369669367,
      40.1782026455053,
      38.3378578010887,
      38.9155180941527,
      40.6360289644534,
      43.4304218485098,
      44.0131776149833,
      41.0517325513843,
      43.243778746153,
      41.253191113043,
      40.7106432224642,
      40.0689937565242,
      41.6576333676498,
      43.6754584263081,
      45.1620901318798,
      40.4457871599403,
      37.8524716201728,
      36.245359563455,
      41.1977616589585,
      41.7784517897412,
      39.1146549762335,
      42.1598975720662,
      41.2779838519472,
      37.8098043245707,
      37.0445492707553,
      37.8266278072188,
      42.3730903434519,
      43.5690536115388,
      43.3449762985056,
      32.5743912372964,
      41.007102173721,
      30.9649397559369,
      36.174922729574,
      34.8604715979084,
      26.7741176190281,
      26.1437059063209,
      26.1437059063209,
      26.1437059063209,
      26.1437059063209,
      26.1437059063209,
      37.1835329631156,
      40.7574170582207,
      42.1728529037763,
      42.9350735886785,
      43.2119264054156,
      36.1240085246101,
      40.6792828049806,
      41.401777311571,
      40.6771700106933,
      43.4736458013854,
      38.0499008543834,
      31.7021621604077,
      34.0815833792874,
      44.5875131902929,
      39.8059190518155,
      42.7996499694733,
      39.4152326751202,
      37.5628144904558,
      31.4292801830536,
      46.1212994532494,
      40.3258396645947,
      44.5667833218488,
      45.6925353119533,
      41.5045986325441,
      40.182038549655,
      41.4102298194832,
      34.9587083298751,
      44.7750338513252,
      36.7383130589375,
      40.5843024769323,
      47.4993802407944,
      41.3191646806281,
      45.4245177669548,
      36.5566455684059,
      31.0245993803675,
      34.4414484770763,
      41.6721109035408,
      57.7390828686168,
      47.0296684909324,
      38.6039624347142,
      34.0292157492652,
      38.7350933008226,
      37.9292210876657,
      34.9351232467678,
      32.3413133971393,
      29.7097318639696,
      29.4036792617949,
      28.7965215959284,
      28.3082916915796,
      27.7753770380735,
      28.1224936216237,
      27.9239694947406,
      27.4193885088677,
      30.7247765689915,
      34.0982776912028,
      36.9491370874703,
      40.7190312508628,
      39.5523593486603,
      43.00443422571,
      36.8433530596501,
      30.8974396892918,
      35.1972588832164,
      36.9863962561721,
      31.2245406357035,
      27.6403700442495,
      32.1957604871105,
      42.09227958629,
      35.58681828614,
      30.9036299796219,
      36.0412225575555,
      30.7751387614447,
      28.2759870778866,
      32.7604260710072,
      42.2763869731394,
      37.7464482660155,
      46.1551303520031,
      31.6432903988594,
      34.2514622544698,
      38.8018794809829,
      44.6108240726634,
      40.4887982703476,
      37.2472875014636,
      32.8375872992597,
      32.3706146705106,
      37.3388796740517,
      32.5278065882615,
      31.4493304077095,
      30.6082715567764,
      30.8280660275796,
      37.6004439378722,
      45.7892944080056,
      39.0778875065341,
      34.4558275901249,
      43.0808246025748,
      40.7122541774805,
      40.351613229834,
      42.7301402115312,
      43.4878706864499,
      43.2764188798278,
      36.5812695223309,
      36.7974706517354,
      38.2162451644867,
      37.0957553287244,
      38.7450924902287,
      37.2098553229217,
      32.4664084830706,
      36.38411731576,
      37.3137459059005,
      38.7877026062931,
      36.0686468764821,
      33.2226913539858,
      33.3107436551653,
      32.9001675399022,
      42.9224721746258,
      43.5792302161166,
      39.6788908035799,
      43.7485726089171,
      38.1720171413307,
      37.3298169003761,
      44.849167300065,
      41.7979159830264,
      43.5185282592067,
      45.9088989587894,
      36.5471829521576,
      40.0657766161726,
      36.7958317038313,
      43.1108259520803,
      39.5806284258483,
      32.5383616637713,
      38.8947310199783,
      41.7966695952329,
      41.9784293229691,
      38.8217728006931,
      34.6711377286459,
      36.3426176294826,
      44.4304153814648,
      41.83722198624,
      48.6802928556361,
      43.5498242104971,
      48.1340733613505,
      39.6141043807094,
      41.1975497358335,
      35.070266951809,
      35.4166610315598,
      30.7506587653587,
      28.9029652549389,
      30.7171152608047,
      43.1866751043533,
      48.0340509211825,
      38.6923187172669,
      40.8789248727584,
      36.6998437361254,
      45.9873273365437,
      39.3017007818515,
      41.2229613984008,
      35.6302160209043,
      47.8742141177662,
      40.2403879219385,
      30.2644953007854,
      30.6653626139369,
      29.3781177527454,
      30.0086934988379,
      35.9149613883114,
      33.0701360065653,
      30.5711567216358,
      44.6139111976329,
      39.0167222459497,
      38.7111975915114,
      31.8368049373783,
      39.873755542572,
      32.0413047235206,
      40.5029392008503,
      34.4694548223436,
      31.2224032294474,
      32.336891522477,
      31.6729199903694,
      31.0783627752195,
      35.305946811214,
      31.5867964767233,
      28.9859879944729,
      31.8815986575944,
      31.1601161147142,
      40.8499377994877,
      41.0482095091723,
      38.2887841647259,
      40.7538228059535,
      46.5059124647844,
      42.1124682488611,
      34.9553367860747,
      36.6769258058523,
      38.4258146668522,
      38.1335130533041,
      37.2390105116363,
      39.4848131943874,
      40.8468655779305,
      38.3232039100545,
      39.2211938285199,
      38.4997946446709,
      36.6311737257133,
      33.3928641581364,
      36.6525321986665,
      30.8677759096178,
      31.4560261492738,
      30.1383617709287,
      34.2094028206599,
      31.1991032375022,
      35.1449697763888,
      34.1591442078441,
      42.7062498701932,
      37.2909137208336,
      46.2447587822198,
      40.743873304654,
      53.0276642777805,
      45.3451866830695,
      41.7608103651757,
      40.9605345363579,
      39.7190906147694,
      44.7553703896932,
      34.1853606583888,
      47.5177841811209,
      40.7497891516463,
      40.5874717324116,
      43.3851753296586,
      38.7003214389052,
      31.858450439566,
      31.838566305043,
      31.7163697602663,
      31.6923687706825,
      33.4824428358738,
      43.0171311235761,
      38.3179002759099,
      35.2937921239305,
      41.1675310747134,
      31.046218475792,
      35.4921565776301,
      34.4005371110284,
      27.9166657973126,
      29.8951828546572,
      41.9672219381681,
      44.1393480023916,
      42.4244113367813,
      52.2843572358292,
      44.5995150785522,
      41.9270045291337,
      43.1038974305936,
      44.1420532843788,
      39.4459303785367,
      35.6334947391444,
      44.5827529836702,
      43.5637736400008,
      45.6605240984945,
      48.2375402517653,
      42.112474022576,
      42.8009724643693,
      39.5017921168044,
      39.7247264344482,
      39.5220975975424,
      37.9555164890577,
      41.3798081912195,
      34.457729697993,
      30.5237726736616,
      35.0209550625172,
      38.9606020938928,
      42.1696638007991,
      46.2137760245542,
      46.4686910662749,
      39.6208368526206,
      40.5345903175446,
      40.8192678889798,
      37.9536899415541,
      32.4978729743462,
      41.2131322344425,
      43.2766008366667,
      35.8348451358781,
      35.8727563814546,
      37.8588558085116,
      38.9331209399719,
      47.820479523565,
      36.9114067207351,
      36.919122122033,
      45.0404284829574,
      42.959358806294,
      35.6444552422921,
      40.8252832886153,
      41.3560257295492,
      38.5635106907591,
      39.6688227661878,
      40.6779652409595,
      36.502554782312,
      37.0120361604365,
      36.2719902787478,
      42.5812306002574,
      41.2268595125347,
      41.1646458769583,
      33.4938862064989,
      32.3490219610338,
      33.7718234737476,
      42.9300409111018,
      38.5872910046639,
      38.2217991714786,
      39.5985237819197,
      37.4685242914717,
      37.4232684934004,
      41.6769404850898,
      40.1338935982658,
      37.8446654714694,
      41.4603016617166,
      33.6076294385085,
      35.2307801888591,
      35.1495232211699,
      33.5128893038783,
      41.0688190436282,
      35.4698848546136,
      36.8579344458907,
      41.6036282098295,
      35.7988507924539,
      37.0573142870276,
      32.7148450677961,
      31.8839704479879,
      34.0932530600791,
      38.7811662424741,
      48.6173789558228,
      37.2865052175759,
      36.7243255133429,
      33.7713134038924,
      33.9641628311553,
      41.2273084325587,
      43.1069440925615,
      42.6330018746125,
      39.5185923785665,
      34.990430991815,
      33.4265609296883,
      37.2361305050622,
      38.3388443993192,
      33.6115886405726,
      34.2541608725168,
      37.8357526920811,
      31.0236275474138,
      37.9348525281238,
      36.9205558299043,
      33.1779344881479,
      45.0940503607682,
      43.9604768133614,
      36.2558426490282,
      41.2427504068468,
      33.3907311683465,
      34.129580438481,
      35.2207254740265,
      33.8436293897112,
      36.5346138427623,
      32.0404819480845,
      33.1172903335919,
      32.7821683170185,
      36.7415771582614,
      33.6431669965213,
      40.5021995700961,
      38.1433453054677,
      39.0192723284094,
      40.2654783440309,
      35.0720170093141,
      37.8072290510807,
      37.4335913465845,
      41.7415404632084,
      42.9993670084087,
      37.0829674732323,
      37.5666692338221,
      42.5191700837551,
      46.2441916885523,
      43.1478581266037,
      37.3032961507075,
      29.542088650301,
      41.3189414080222,
      42.0755622802243,
      40.5636447451685,
      37.3944874882985,
      34.7035413186188,
      38.8773592750854,
      38.6525185367903,
      34.9548166373427,
      35.7371481311008,
      39.8518885355042,
      34.3472084613688,
      37.7090451317592,
      34.2056072110388,
      38.6381112414494,
      36.7639526272946,
      34.0617605327943,
      33.5126999053866,
      32.9122811383482,
      43.6561401184561,
      40.8661618994741,
      34.6827256211193,
      34.3939750718073,
      35.8082356383485,
      36.3587285549005,
      36.7407576661322,
      35.1752385721109,
      34.8219473549317,
      33.815054125343,
      35.2243099747542,
      40.922971582444,
      40.8097516369784,
      41.0214950484283,
      39.2049909960575,
      37.8157637667877,
      37.5238597941153,
      43.264931290355,
      48.2311863164973,
      37.0764885251467,
      35.1235022297468,
      34.583432223298,
      37.549817983985,
      43.0453227289538,
      43.6172193216462,
      42.3749900510001,
      44.0273529298205,
      39.2241986858088,
      41.4846930460532,
      43.0700139044938,
      40.9913846445547,
      42.57490901901,
      40.9678832301527,
      37.2374104320198,
      37.6952286522954,
      34.0686090668335,
      42.2315712993637,
      39.6585496768456,
      36.5942532866502,
      36.7790117875214,
      33.7486258718691,
      31.6052076134614,
      32.5899167296493,
      35.7058064497232,
      37.7462113534439,
      43.4339166464918,
      40.9553759871238,
      31.6402832125045,
      39.6471421651736,
      30.8216853616148,
      33.9951972038219,
      32.4826288567365,
      26.2029318936743,
      26.1437059063209,
      26.1437059063209,
      26.1437059063209,
      26.1437059063209,
      26.1437059063209,
      32.3681040267654,
      45.1202108611484,
      44.3540985278961,
      41.0471503262001,
      42.1047128458832,
      50.9855014985551,
      48.8346900009867,
      42.3488057159422,
      46.8787717766862,
      39.1115090723682,
      42.4918125126178,
      42.8504263637876,
      42.7080858721468,
      44.9982445651255,
      48.591784767215,
      37.2617712896866,
      37.8972286445262,
      52.0764773288784,
      35.572014242859,
      43.8696821812222,
      49.9159424657908,
      44.262945624602,
      53.7913405926794,
      53.3347298385693,
      49.8892561755566,
      46.1754042472701,
      49.1321483542718,
      44.0031670835765,
      52.8585525192802,
      46.6957409730225,
      42.2472020763427,
      45.6403787249694,
      38.7877562768051,
      41.0906877897485,
      43.9387373538205,
      43.0103998912967,
      44.0677839011727,
      54.4691280265508,
      45.6836975296293,
      39.1777887221786,
      49.0795550872586,
      42.0319380986183,
      50.7079491223191,
      56.8291269240278,
      63.0596180843164,
      51.062262804459,
      51.7510935299883,
      51.9228121634308,
      54.8281641834384,
      57.2171016176142,
      58.2254835563787,
      59.4253443077743,
      59.3753883787613,
      60.2373138768921,
      64.5654852905464,
      59.5773438875092,
      63.4552946352691,
      64.4654606259515,
      64.5675385674277,
      56.140724162778,
      58.7023481473403,
      51.2874996417482,
      56.594608337522,
      55.8326485628725,
      47.0828468990802,
      48.1221609836404,
      55.3370929310572,
      52.4900312216723,
      48.0739966861115,
      50.5165643447406,
      48.5276837693783,
      48.5082077279788,
      57.1669047036462,
      57.5170489509253,
      64.5134698313099,
      63.5962121265655,
      57.3804482757045,
      59.9981299152506,
      60.3582189447528,
      52.0277246776257,
      56.9550033374018,
      50.3375931427234,
      50.9812367159034,
      50.7613596499241,
      51.3023606941719,
      51.1322892370546,
      48.9023147397768,
      50.750878785434,
      51.035123741852,
      53.7188227820636,
      59.1032489763119,
      59.1117399862996,
      59.2066096328724,
      62.8202789335938,
      60.2401015675943,
      59.4658726144188,
      64.9265527365555,
      61.7195430120935,
      64.953878017354,
      65.3645413771916,
      61.6539683538967,
      63.6954275336796,
      60.6726499153051,
      58.1836901874008,
      53.8730271489374,
      58.2081761371608,
      56.4641328966126,
      54.324597860745,
      55.3766721150825,
      53.1030384127524,
      54.8994669539969,
      56.4192256530864,
      53.0741226123791,
      55.6157804568572,
      57.3645951157924,
      54.82287553829,
      57.5878635670423,
      58.8079772243042,
      55.2351407355002,
      55.5098732831163,
      57.9784795974369,
      54.9847219307132,
      62.8351168471521,
      62.4296429097482,
      59.7139693874956,
      59.3446624975069,
      56.4063789918006,
      53.2721264436291,
      57.762529496987,
      55.927764047775,
      56.4639578786942,
      59.6607464213378,
      55.326159045317,
      54.9405272160435,
      57.4084890557218,
      51.9721441131422,
      60.2044354721142,
      61.2993746751424,
      58.8463182711818,
      61.3188083934144,
      61.0367306860854,
      58.1292389005258,
      56.3694903875991,
      57.5930048649857,
      61.6573343386622,
      59.0045379191025,
      61.9101867514628,
      62.9592448765397,
      68.5639780306113,
      59.9142107809924,
      56.1259986460456,
      55.7897919277487,
      62.0677890769185,
      58.599850618407,
      61.4213897033397,
      55.9597814174834,
      61.8835445875713,
      59.0419378809785,
      53.2233176683652,
      52.3908787621523,
      55.5592083890913,
      54.8762046919094,
      51.6068599513395,
      57.3782175460627,
      56.0060980308196,
      60.8282761654415,
      61.6032201290589,
      57.3156340529726,
      56.5513559814581,
      58.2969670637116,
      61.3775108431315,
      58.4381797336175,
      53.0693553305575,
      51.5769060228518,
      56.1338185352039,
      53.4906568164772,
      53.1306619973047,
      56.0144064886309,
      52.0725632382549,
      52.7520730468977,
      58.8644157489343,
      58.5109445765681,
      63.1092928188374,
      64.7838811224333,
      59.6516930817615,
      64.992389262113,
      70.2799980623553,
      60.8514683590921,
      54.8131423137359,
      66.7672746272673,
      66.2858684226945,
      65.0212307879874,
      66.3450624008783,
      63.9625340852276,
      62.7340877189758,
      61.8972907133709,
      59.4480594446563,
      59.4823197732839,
      55.2520693851493,
      54.8722407941218,
      56.7516798772998,
      53.3532760415344,
      54.3537609529921,
      58.6659857097459,
      57.7306118357578,
      56.2344380187465,
      60.0321478128935,
      55.1795135747613,
      59.506027793186,
      60.6645975208336,
      63.9261834406688,
      63.3854561814878,
      75.0264246795186,
      69.3288378642521,
      65.5988174693942,
      62.6049823282246,
      59.3715557486408,
      67.8762360798,
      60.0609449632364,
      66.6453399043243,
      60.8540248311334,
      59.1093056824158,
      60.8280722582115,
      58.7554255366852,
      53.2477119046752,
      53.8939620882757,
      61.0498607421865,
      56.78772692884,
      55.899872996573,
      65.1110802583458,
      60.3806445795817,
      57.2492039544664,
      58.0059739625827,
      56.6417296209041,
      61.0948260477966,
      60.8298920502614,
      62.1569539082566,
      58.9925544629666,
      59.3093692418399,
      63.9745987099669,
      64.8657934773569,
      65.2689257519659,
      63.8009632115825,
      60.622693492347,
      57.6564733640604,
      60.5137122927644,
      64.4112732375223,
      61.1425467748206,
      57.4917291764786,
      64.3528710366081,
      62.2148164459887,
      66.9260327246764,
      65.6634997355567,
      63.8790881071646,
      61.6419959152281,
      61.1247597447784,
      64.8879670978952,
      63.4680844412268,
      64.6346999635254,
      63.2015422059861,
      62.9636826601412,
      63.6018855675999,
      62.7348959238544,
      60.0385559780469,
      60.1986326065886,
      58.8977837699178,
      60.1635462181043,
      58.3583698527121,
      57.591467100297,
      58.8764548126659,
      54.0561999369348,
      59.9576974452412,
      63.3724885647385,
      62.5138126560284,
      59.865362020092,
      60.410476236412,
      60.2771877520053,
      59.0806104515164,
      62.0033638614182,
      61.5730890837678,
      62.7665861076599,
      58.858035368636,
      59.0759850830918,
      62.5965265156827,
      62.0748277876128,
      63.440780814332,
      62.2645846019542,
      62.42993941739,
      58.5300986177588,
      60.5970613487034,
      54.8536917116593,
      58.8790587785359,
      57.7504704005171,
      57.9526168146959,
      56.4694405655035,
      59.0629531060561,
      57.3700801781713,
      58.8349569984532,
      59.4391629109315,
      58.1543616158253,
      59.1398027676189,
      62.0531638390674,
      59.0051662809465,
      58.0046302895231,
      59.5061410873826,
      61.4852317115297,
      62.0044256120037,
      62.7789643046306,
      63.2684641322181,
      62.0544754916768,
      61.9026306050496,
      60.2368763267824,
      59.1392331483061,
      57.3831611305896,
      58.4469796093228,
      57.1341338885427,
      57.6315536572464,
      59.1434873405149,
      60.8570028770478,
      63.5997266215636,
      55.4971682677169,
      57.1615090178532,
      56.9869053559804,
      57.6094911892125,
      56.2544972370935,
      57.042004959923,
      59.5083173919189,
      55.6487505474649,
      58.4772532261869,
      62.5354158163258,
      60.4513592812619,
      60.6687773855614,
      58.7775142531277,
      59.9525010863383,
      60.2353864516832,
      62.1518785974056,
      61.9277572588156,
      66.0978732122477,
      65.3088303940932,
      61.8369467581005,
      59.2602465619991,
      58.371155337071,
      67.3296979659082,
      63.319451335238,
      59.5296663260315,
      62.5654826873539,
      64.9699369598271,
      65.7579344513894,
      66.6295073075711,
      66.6471863732395,
      66.4984046990051,
      67.939361362201,
      65.6917270313674,
      62.6255246686245,
      63.7910894709318,
      66.8806498267946,
      62.983176072397,
      61.3588382977296,
      62.2059559242224,
      59.8781063869014,
      59.5127250224806,
      60.1089861485633,
      59.7682950183462,
      62.2969496668215,
      63.51001100502,
      58.9314071572075,
      62.8791562960182,
      63.918094125545,
      60.4122875303474,
      61.0354523170158,
      62.9585819539146,
      62.3726533760555,
      63.0880848685274,
      64.4714100389319,
      61.304111491537,
      64.0398467646023,
      58.9066655768687,
      60.6996511014887,
      60.9435311013925,
      60.8673188424253,
      57.5700142637536,
      61.2520334681191,
      57.400050292315,
      61.0203036766136,
      58.9465830846159,
      59.1713127735224,
      59.477481599997,
      61.2310784574806,
      61.2044598706033,
      61.1739303804737,
      60.1955619502266,
      63.8525615923488,
      67.3207835199154,
      63.4091257434122,
      62.1559568273659,
      63.7175968532745,
      64.7089380668296,
      63.5767117902132,
      66.9118160520122,
      60.0784040621507,
      69.4650557033425,
      69.741750766682,
      69.5728226054798,
      64.9864053621825,
      61.5170119399394,
      60.3900696132768,
      59.2318816646603,
      62.724128361596,
      59.8984243776581,
      61.6159987566925,
      65.9902862159794,
      61.8855927884039,
      66.7373294726153,
      66.2867746036926,
      65.1834970987059,
      64.3298361016091,
      62.6034904573846,
      65.2154596932055,
      66.1329583447402,
      62.2207049026084,
      58.6772376247067,
      57.4352052726417,
      56.9672757095545,
      51.2775670623192,
      54.4342909848737,
      63.4012938806856,
      57.6458092386626,
      50.6243033913341,
      48.6821161715493,
      45.4666724337656,
      45.054508661659,
      40.2197073852472,
      45.5248755591594,
      48.8495149825545,
      46.9002818335108,
      45.4661734908439,
      35.5165123115101,
      37.2125542791197,
      28.3009274527477,
      27.9377462325039,
      26.4577735160863,
      26.1437059063209,
      26.1437059063209,
      26.1437059063209,
      26.1437059063209,
      26.1437059063209,
      26.1437059063209
    ],
    "harmonic_energy_curve": [
      0.0268605835735798,
      0.056178230792284,
      0.0589270256459713,
      0.0648104101419449,
      0.0854648947715759,
      0.0736095085740089,
      0.0747318789362907,
      0.0716479495167732,
      0.0818878412246704,
      0.0579864419996738,
      0.036677535623312,
      0.0113743972033262,
      0.00657479045912623,
      0.0899281352758408,
      0.103123798966408,
      0.0443379804491997,
      0.0685676261782646,
      0.0670219287276268,
      0.0193365123122931,
      0.0994754061102867,
      0.0694921314716339,
      0.0729961842298508,
      0.0650425255298615,
      0.0640648454427719,
      0.0370355248451233,
      0.0410822927951813,
      0.0446547232568264,
      0.0839202478528023,
      0.0741106420755386,
      0.0721886530518532,
      0.0722734108567238,
      0.0727445557713509,
      0.0525907687842846,
      0.0355869010090828,
      0.0168332364410162,
      0.012182935141027,
      0.0515706837177277,
      0.107539765536785,
      0.0645348727703094,
      0.0560713447630405,
      0.0438629984855652,
      0.0422459915280342,
      0.0483380481600761,
      0.057489026337862,
      0.0810912549495697,
      0.0574650205671787,
      0.0501884035766125,
      0.127042591571808,
      0.182022988796234,
      0.205196380615234,
      0.214054241776466,
      0.219266682863235,
      0.228575825691223,
      0.238300681114197,
      0.16475336253643,
      0.210809886455536,
      0.228220373392105,
      0.183867886662483,
      0.213864326477051,
      0.193582490086555,
      0.0992937311530113,
      0.178370505571365,
      0.15380597114563,
      0.075233519077301,
      0.186631172895432,
      0.152203127741814,
      0.0809221118688583,
      0.134394571185112,
      0.104545727372169,
      0.085639588534832,
      0.147933274507523,
      0.098594531416893,
      0.129713132977486,
      0.14218382537365,
      0.135717034339905,
      0.165988370776176,
      0.148293644189835,
      0.16839075088501,
      0.180162116885185,
      0.215661779046059,
      0.17114944756031,
      0.196052208542824,
      0.176525935530663,
      0.0891431719064713,
      0.141869321465492,
      0.138365045189857,
      0.103389374911785,
      0.189639016985893,
      0.10974333435297,
      0.213813811540604,
      0.165526583790779,
      0.146087184548378,
      0.118243202567101,
      0.11321921646595,
      0.153210923075676,
      0.159826055169106,
      0.189086571335793,
      0.263857811689377,
      0.242874398827553,
      0.216048151254654,
      0.206754252314568,
      0.215340822935104,
      0.183085322380066,
      0.158457726240158,
      0.166541308164597,
      0.105771623551846,
      0.161892920732498,
      0.194072335958481,
      0.187097370624542,
      0.229947954416275,
      0.142257556319237,
      0.107069708406925,
      0.158308997750282,
      0.211279079318047,
      0.200797989964485,
      0.190424755215645,
      0.127129197120667,
      0.142008438706398,
      0.104333199560642,
      0.152087137103081,
      0.158809959888458,
      0.206427067518234,
      0.120683260262012,
      0.17169962823391,
      0.201950252056122,
      0.181993454694748,
      0.127592012286186,
      0.153808429837227,
      0.103880122303963,
      0.15456485748291,
      0.198415070772171,
      0.142304599285126,
      0.158008560538292,
      0.154270634055138,
      0.0974451899528503,
      0.193268954753876,
      0.204595953226089,
      0.208335712552071,
      0.184440821409225,
      0.136171296238899,
      0.136459946632385,
      0.182364344596863,
      0.146180465817451,
      0.172621920704842,
      0.171283021569252,
      0.203761696815491,
      0.203027933835983,
      0.17820717394352,
      0.191286489367485,
      0.0877525955438614,
      0.174306944012642,
      0.197260648012161,
      0.13679364323616,
      0.181477755308151,
      0.148185506463051,
      0.0849404707551003,
      0.179886639118195,
      0.161751329898834,
      0.172156542539597,
      0.158327743411064,
      0.0964796543121338,
      0.0860429406166077,
      0.134934693574905,
      0.0974346026778221,
      0.14120788872242,
      0.138868123292923,
      0.153206139802933,
      0.183974176645279,
      0.109460100531578,
      0.189327642321587,
      0.159408122301102,
      0.169566780328751,
      0.0804661065340042,
      0.212747663259506,
      0.171954482793808,
      0.100599050521851,
      0.144125923514366,
      0.108192905783653,
      0.114432491362095,
      0.18426251411438,
      0.158624336123466,
      0.222957208752632,
      0.149557664990425,
      0.153787419199944,
      0.138109520077705,
      0.119782604277134,
      0.156360283493996,
      0.152232199907303,
      0.196932524442673,
      0.17030830681324,
      0.142338305711746,
      0.196128487586975,
      0.204500466585159,
      0.226285547018051,
      0.177767783403397,
      0.167252376675606,
      0.147601366043091,
      0.114400759339333,
      0.174906820058823,
      0.176326468586922,
      0.166433498263359,
      0.175459966063499,
      0.169665455818176,
      0.129761695861816,
      0.173707515001297,
      0.191142246127129,
      0.19139376282692,
      0.189324289560318,
      0.13690510392189,
      0.154199287295341,
      0.175333052873611,
      0.125844404101372,
      0.152790620923042,
      0.168016910552979,
      0.116798423230648,
      0.122808411717415,
      0.218556016683578,
      0.149227231740952,
      0.162468314170837,
      0.148527354001999,
      0.131532832980156,
      0.19050931930542,
      0.167761400341988,
      0.210100784897804,
      0.199478194117546,
      0.115472793579102,
      0.113787457346916,
      0.184334307909012,
      0.190271139144897,
      0.194688007235527,
      0.173595353960991,
      0.172577038407326,
      0.200002148747444,
      0.200125828385353,
      0.169958263635635,
      0.170493856072426,
      0.182227820158005,
      0.228111788630486,
      0.214975222945213,
      0.214237898588181,
      0.191856697201729,
      0.223154321312904,
      0.177635863423347,
      0.182388469576836,
      0.119816973805428,
      0.153542026877403,
      0.118809022009373,
      0.156783193349838,
      0.197479516267776,
      0.1958387196064,
      0.176020041108131,
      0.210401490330696,
      0.215229257941246,
      0.164239481091499,
      0.13626004755497,
      0.124998271465302,
      0.16890361905098,
      0.115570977330208,
      0.145503550767899,
      0.176622286438942,
      0.149570390582085,
      0.178957372903824,
      0.19258950650692,
      0.220646038651466,
      0.271313816308975,
      0.253551363945007,
      0.162950724363327,
      0.141367360949516,
      0.180114239454269,
      0.126492246985435,
      0.0877072364091873,
      0.192585378885269,
      0.187116265296936,
      0.191260978579521,
      0.189843252301216,
      0.162860944867134,
      0.200710892677307,
      0.181783378124237,
      0.181556791067123,
      0.157984524965286,
      0.179486781358719,
      0.267068058252335,
      0.16478168964386,
      0.187240481376648,
      0.147791638970375,
      0.22137039899826,
      0.17010985314846,
      0.147082328796387,
      0.134849935770035,
      0.135250464081764,
      0.19366554915905,
      0.180834144353867,
      0.193584829568863,
      0.209674581885338,
      0.134921818971634,
      0.128980323672295,
      0.189182639122009,
      0.199040502309799,
      0.211228147149086,
      0.177841067314148,
      0.136419415473938,
      0.133476063609123,
      0.123856768012047,
      0.154759302735329,
      0.186115503311157,
      0.177279740571976,
      0.126195654273033,
      0.153035998344421,
      0.209663212299347,
      0.161999762058258,
      0.158882722258568,
      0.143975526094437,
      0.1151167973876,
      0.168916538357735,
      0.208107352256775,
      0.184056788682938,
      0.110690705478191,
      0.154701441526413,
      0.142918825149536,
      0.216474711894989,
      0.206756457686424,
      0.153283089399338,
      0.148796230554581,
      0.125895142555237,
      0.137021034955978,
      0.130018308758736,
      0.15121366083622,
      0.146481439471245,
      0.136619031429291,
      0.141496434807777,
      0.167841568589211,
      0.168976217508316,
      0.211285680532455,
      0.235760480165482,
      0.190736368298531,
      0.1794523447752,
      0.157462045550346,
      0.171124681830406,
      0.21278902888298,
      0.169077306985855,
      0.202617034316063,
      0.0922744423151016,
      0.151960402727127,
      0.20075398683548,
      0.224173545837402,
      0.195726603269577,
      0.144606798887253,
      0.142380475997925,
      0.133654832839966,
      0.160702243447304,
      0.13923242688179,
      0.203857421875,
      0.203176289796829,
      0.251845419406891,
      0.224413797259331,
      0.211600512266159,
      0.194264456629753,
      0.185375720262527,
      0.163819834589958,
      0.178150802850723,
      0.188170343637466,
      0.156946420669556,
      0.159853428602219,
      0.196980729699135,
      0.19266602396965,
      0.162129253149033,
      0.211910247802734,
      0.234479948878288,
      0.233036607503891,
      0.202004611492157,
      0.154884368181229,
      0.206418961286545,
      0.182256028056145,
      0.235747560858727,
      0.15906597673893,
      0.20456075668335,
      0.26675420999527,
      0.216524481773376,
      0.140112087130547,
      0.146456673741341,
      0.166833460330963,
      0.104914642870426,
      0.192569002509117,
      0.194646179676056,
      0.116728961467743,
      0.0974752455949783,
      0.146711438894272,
      0.181234523653984,
      0.179755836725235,
      0.202988833189011,
      0.235327124595642,
      0.175908654928207,
      0.158235520124435,
      0.157664135098457,
      0.231797814369202,
      0.170738607645035,
      0.166008248925209,
      0.198495477437973,
      0.186271354556084,
      0.185035645961761,
      0.208673745393753,
      0.162653475999832,
      0.154414430260658,
      0.165356621146202,
      0.107031546533108,
      0.142993211746216,
      0.232009410858154,
      0.243147060275078,
      0.183698326349258,
      0.166754528880119,
      0.165963217616081,
      0.187375947833061,
      0.229301065206528,
      0.201646775007248,
      0.160100892186165,
      0.130578696727753,
      0.16485670208931,
      0.161890864372253,
      0.107382901012897,
      0.108608022332191,
      0.136388972401619,
      0.115164369344711,
      0.09895870834589,
      0.111742824316025,
      0.0608570463955402,
      0.0539494566619396,
      0.0490771643817425,
      0.033941775560379,
      0.04549740254879,
      0.0322635471820831,
      0.0150408130139112,
      0.00776713667437434,
      0.00892734248191118,
      0.014498277567327,
      0.0148897422477603,
      0.00879508443176746,
      0.00956336408853531,
      0.00690291682258248,
      0.00424300087615848,
      0.0021150903776288,
      0.00149597192648798,
      0.000497433298733085,
      0.0000681374440318905,
      0.0000447887105110567,
      0.0000447895363322459,
      0.0000447895363322459,
      0.0000436210902989842
    ],
    "percussive_energy_curve": [
      0.0216161366552114,
      0.0860631987452507,
      0.0361464805901051,
      0.0118287894874811,
      0.0844905972480774,
      0.0420821718871593,
      0.0164016038179398,
      0.065365806221962,
      0.0217492580413818,
      0.022417763248086,
      0.100675716996193,
      0.0153173776343465,
      0.0394456200301647,
      0.0405518114566803,
      0.032304871827364,
      0.0690374001860619,
      0.0575104206800461,
      0.025490652769804,
      0.0615802332758904,
      0.0117750652134418,
      0.0274871252477169,
      0.083064429461956,
      0.0668773278594017,
      0.0534290708601475,
      0.0763965770602226,
      0.0208491589874029,
      0.0135429799556732,
      0.0684453919529915,
      0.0195163767784834,
      0.0195629578083754,
      0.0627111792564392,
      0.0197416618466377,
      0.0132873766124249,
      0.104435883462429,
      0.0157601069658995,
      0.0377933904528618,
      0.0497699566185474,
      0.0461391173303127,
      0.0766036659479141,
      0.0581715293228626,
      0.0143141094595194,
      0.0731613785028458,
      0.0637036338448524,
      0.0737410485744476,
      0.0801555812358856,
      0.0592372119426727,
      0.06334188580513,
      0.0692015141248703,
      0.0801451802253723,
      0.0743022933602333,
      0.0949389636516571,
      0.0752612575888634,
      0.0763687044382095,
      0.0734475031495094,
      0.105162531137466,
      0.088470421731472,
      0.100074857473373,
      0.0974669679999352,
      0.0783719792962074,
      0.0849474892020226,
      0.0484209917485714,
      0.0749679133296013,
      0.0715307071805,
      0.0390336811542511,
      0.049943383783102,
      0.0801290422677994,
      0.0561351701617241,
      0.0945663973689079,
      0.0600671544671059,
      0.050037570297718,
      0.0721582025289536,
      0.0529340803623199,
      0.0716927051544189,
      0.0859975665807724,
      0.0693867728114128,
      0.0947866290807724,
      0.0875273123383522,
      0.0971433892846107,
      0.107511781156063,
      0.0855289623141289,
      0.0762041509151459,
      0.0538752749562263,
      0.0695746541023254,
      0.0409125164151192,
      0.0909420922398567,
      0.0589749291539192,
      0.0379047878086567,
      0.0535046383738518,
      0.0769783109426498,
      0.042271800339222,
      0.0595584698021412,
      0.0844338163733482,
      0.0732665434479713,
      0.0826028734445572,
      0.0806769654154778,
      0.0744679793715477,
      0.0873807817697525,
      0.0642631873488426,
      0.073081336915493,
      0.0913428291678429,
      0.102146133780479,
      0.0721490532159805,
      0.100255034863949,
      0.0654830113053322,
      0.0738408342003822,
      0.0826522037386894,
      0.0490263924002647,
      0.0696348547935486,
      0.0727032870054245,
      0.0523019842803478,
      0.0694227069616318,
      0.0808715224266052,
      0.0628599748015404,
      0.0505039766430855,
      0.0913537442684174,
      0.0735782980918884,
      0.0676509663462639,
      0.0850009769201279,
      0.080210767686367,
      0.064138688147068,
      0.0893638283014297,
      0.0856060236692429,
      0.109622970223427,
      0.101180113852024,
      0.0661353692412376,
      0.0807326436042786,
      0.0443082042038441,
      0.0715010762214661,
      0.0795289650559425,
      0.0790801867842674,
      0.0597258359193802,
      0.0928435623645782,
      0.0425960123538971,
      0.0925376936793327,
      0.0632976368069649,
      0.107870377600193,
      0.0587160512804985,
      0.08571957051754,
      0.106582574546337,
      0.120518922805786,
      0.0870233476161957,
      0.0790735855698586,
      0.0643863528966904,
      0.0778055116534233,
      0.104866482317448,
      0.0827246531844139,
      0.113518305122852,
      0.0627846643328667,
      0.0622298792004585,
      0.0429464131593704,
      0.0639713779091835,
      0.0669477581977844,
      0.0275972820818424,
      0.0631538480520248,
      0.0764391869306564,
      0.0310097131878138,
      0.0663305968046188,
      0.0530074909329414,
      0.0345343761146069,
      0.065778836607933,
      0.0473469942808151,
      0.0658435896039009,
      0.0624754317104816,
      0.0586711578071117,
      0.0714252218604088,
      0.0544812008738518,
      0.0576452799141407,
      0.0582480728626251,
      0.106710895895958,
      0.0758374109864235,
      0.0813438072800636,
      0.0877702385187149,
      0.0683032870292664,
      0.0549386739730835,
      0.0680980905890465,
      0.0495791547000408,
      0.079535685479641,
      0.0557533390820026,
      0.0431187450885773,
      0.0565900877118111,
      0.0517314113676548,
      0.0594810545444489,
      0.0583549439907074,
      0.0690524205565453,
      0.0690398365259171,
      0.0804539397358894,
      0.0577795580029488,
      0.0698273703455925,
      0.0498437583446503,
      0.0774006843566895,
      0.113545134663582,
      0.0882100760936737,
      0.107713520526886,
      0.0720564275979996,
      0.0758124589920044,
      0.0633314996957779,
      0.0688914358615875,
      0.0861108228564262,
      0.0416072346270084,
      0.0486444644629955,
      0.0804066807031631,
      0.0427095703780651,
      0.0502812936902046,
      0.080252431333065,
      0.0779871046543121,
      0.0535806939005852,
      0.0661057829856873,
      0.0745178982615471,
      0.0704805627465248,
      0.07981076836586,
      0.067828357219696,
      0.0791468992829323,
      0.0880120992660522,
      0.0766982510685921,
      0.109150990843773,
      0.0937054678797722,
      0.0557925775647163,
      0.0587124079465866,
      0.0730791911482811,
      0.0596624836325645,
      0.0823222696781158,
      0.043987188488245,
      0.0322564765810966,
      0.0753643959760666,
      0.051831092685461,
      0.0589251331984997,
      0.0830385833978653,
      0.071644201874733,
      0.0514563843607903,
      0.0517751835286617,
      0.0633640438318253,
      0.0589021444320679,
      0.0557758025825024,
      0.0531834065914154,
      0.0683762431144714,
      0.0795093923807144,
      0.0995860546827316,
      0.0950326696038246,
      0.0944656357169151,
      0.112844452261925,
      0.144188299775124,
      0.0807841941714287,
      0.110777653753757,
      0.0935185104608536,
      0.118990816175938,
      0.0892208367586136,
      0.0942626371979713,
      0.0997079908847809,
      0.0922068804502487,
      0.0968347042798996,
      0.0901574045419693,
      0.0724574699997902,
      0.0956949815154076,
      0.0903812721371651,
      0.0871701017022133,
      0.129047870635986,
      0.104442425072193,
      0.108575932681561,
      0.0865443348884583,
      0.0921129956841469,
      0.103268802165985,
      0.0898605585098267,
      0.116497106850147,
      0.123320229351521,
      0.0617953427135944,
      0.076276883482933,
      0.111938305199146,
      0.0879911929368973,
      0.0687935799360275,
      0.108444884419441,
      0.0645570904016495,
      0.080486498773098,
      0.111809380352497,
      0.114134483039379,
      0.0724194869399071,
      0.0826952457427979,
      0.0990720465779305,
      0.095971517264843,
      0.110433734953403,
      0.097388744354248,
      0.111519701778889,
      0.0623175911605358,
      0.0664252862334251,
      0.130303159356117,
      0.12242990732193,
      0.0800929218530655,
      0.102869965136051,
      0.107023850083351,
      0.0839729383587837,
      0.0978303328156471,
      0.0534729398787022,
      0.0680380314588547,
      0.0713866800069809,
      0.0536174774169922,
      0.056214801967144,
      0.0797848328948021,
      0.0743490383028984,
      0.051288265734911,
      0.0986584052443504,
      0.0857236906886101,
      0.0681851729750633,
      0.0996295064687729,
      0.0627861320972443,
      0.0844675898551941,
      0.0803792104125023,
      0.103394336998463,
      0.120076030492783,
      0.0937465056777,
      0.0710457265377045,
      0.115465313196182,
      0.067224346101284,
      0.0909979343414307,
      0.096326544880867,
      0.0662846267223358,
      0.0685040131211281,
      0.0844955593347549,
      0.0904546231031418,
      0.0802092626690865,
      0.0885811671614647,
      0.070402555167675,
      0.0418462716042995,
      0.0396412201225758,
      0.0423162393271923,
      0.0513908192515373,
      0.067490428686142,
      0.0481301657855511,
      0.0604863055050373,
      0.0620019771158695,
      0.100203469395638,
      0.0979531183838844,
      0.0634122416377068,
      0.0747397840023041,
      0.0791543200612068,
      0.049512442201376,
      0.0743930488824844,
      0.0703641772270203,
      0.0901938080787659,
      0.0996906086802483,
      0.0697700753808022,
      0.125046789646149,
      0.0556233823299408,
      0.063676193356514,
      0.104291215538979,
      0.0748433172702789,
      0.0918750837445259,
      0.102793671190739,
      0.084079809486866,
      0.114174321293831,
      0.0732353553175926,
      0.0975487232208252,
      0.13063757121563,
      0.109208188951015,
      0.112981751561165,
      0.0885359421372414,
      0.073340006172657,
      0.0895498618483543,
      0.0978983268141747,
      0.0826678052544594,
      0.117587462067604,
      0.0785378739237785,
      0.0922260209918022,
      0.111195176839828,
      0.0812905505299568,
      0.0948543474078178,
      0.0926844477653503,
      0.129054665565491,
      0.0660798400640488,
      0.0763094574213028,
      0.0802147164940834,
      0.0562491230666637,
      0.0753736346960068,
      0.0979967787861824,
      0.0710956528782845,
      0.0833033248782158,
      0.0806844383478165,
      0.0956755727529526,
      0.0850024372339249,
      0.0790054947137833,
      0.0929032117128372,
      0.0851378366351128,
      0.0644293203949928,
      0.113849967718124,
      0.0622852966189384,
      0.0767682418227196,
      0.101454392075539,
      0.0884023532271385,
      0.0891818180680275,
      0.11166537553072,
      0.115349180996418,
      0.0852275490760803,
      0.0736844167113304,
      0.121277391910553,
      0.128903806209564,
      0.11326290667057,
      0.0913948714733124,
      0.13757286965847,
      0.104674145579338,
      0.145607680082321,
      0.134857058525085,
      0.105834282934666,
      0.0859277471899986,
      0.0951142609119415,
      0.0739753395318985,
      0.0711629241704941,
      0.111370362341404,
      0.14077915251255,
      0.0833445265889168,
      0.0649141892790794,
      0.0851419121026993,
      0.110458239912987,
      0.0828816071152687,
      0.0948378592729568,
      0.037947453558445,
      0.0675248205661774,
      0.0894740000367165,
      0.0788955166935921,
      0.0637956708669662,
      0.0576582290232182,
      0.063193753361702,
      0.0444889143109322,
      0.0680472478270531,
      0.0745223164558411,
      0.0642827972769737,
      0.0247050579637289,
      0.0349222645163536,
      0.0387500710785389,
      0.022161865606904,
      0.0339121669530869,
      0.0161814838647842,
      0.0167923420667648,
      0.0203691683709621,
      0.0157937295734882,
      0.0100323231890798,
      0.0144571224227548,
      0.0114924591034651,
      0.00731955468654633,
      0.00514071946963668,
      0.00332915713079274,
      0.00281517533585429,
      0.00121113727800548,
      0.000728302053175867,
      0.000294591969577596,
      0.0000161551615747157,
      0.00000183947952336894,
      1.0265361888881e-21,
      1.0265361888881e-21,
      7.92667037785577e-7
    ],
    "harmonic_percussive_ratio_curve": [
      0.703915894031525,
      0.503862082958221,
      0.634268999099731,
      0.852960288524628,
      0.622654795646667,
      0.693793654441833,
      0.83278477191925,
      0.610763490200043,
      0.782469987869263,
      0.744285106658936,
      0.473459392786026,
      0.472642630338669,
      0.549452900886536,
      0.714945912361145,
      0.759040415287018,
      0.510577738285065,
      0.663212656974792,
      0.687334060668945,
      0.530446171760559,
      0.889789223670959,
      0.71865701675415,
      0.564034223556519,
      0.545418560504913,
      0.624386608600616,
      0.460786461830139,
      0.668476223945618,
      0.741619348526001,
      0.649046659469604,
      0.801146924495697,
      0.812654852867126,
      0.650182247161865,
      0.787132978439331,
      0.78182065486908,
      0.440353393554688,
      0.575804233551025,
      0.644557416439056,
      0.415046840906143,
      0.716137647628784,
      0.544234275817871,
      0.612750649452209,
      0.718400776386261,
      0.488538920879364,
      0.557077825069427,
      0.523763954639435,
      0.582061111927032,
      0.573814213275909,
      0.54265433549881,
      0.678480803966522,
      0.710629761219025,
      0.746605694293976,
      0.709200501441956,
      0.749958157539368,
      0.760344266891479,
      0.769401729106903,
      0.611982464790344,
      0.709750473499298,
      0.696807682514191,
      0.661425471305847,
      0.736877977848053,
      0.701331198215485,
      0.696772873401642,
      0.717926383018494,
      0.69631040096283,
      0.645419955253601,
      0.792961597442627,
      0.670374810695648,
      0.586790263652802,
      0.62973690032959,
      0.647921741008759,
      0.681461572647095,
      0.691755414009094,
      0.677069187164307,
      0.682706594467163,
      0.629315078258514,
      0.676886320114136,
      0.635322213172913,
      0.64591646194458,
      0.627804040908813,
      0.625005960464478,
      0.724929690361023,
      0.722194254398346,
      0.789176642894745,
      0.732548713684082,
      0.716719508171082,
      0.649877369403839,
      0.708282768726349,
      0.715535283088684,
      0.786307632923126,
      0.621899366378784,
      0.825032830238342,
      0.736567199230194,
      0.662179946899414,
      0.647668719291687,
      0.592395603656769,
      0.6828773021698,
      0.691330790519714,
      0.691111862659454,
      0.812967479228973,
      0.775512218475342,
      0.708589673042297,
      0.659726977348328,
      0.742495834827423,
      0.652296245098114,
      0.712935924530029,
      0.713683724403381,
      0.591551959514618,
      0.758566975593567,
      0.744232773780823,
      0.717326104640961,
      0.823171138763428,
      0.683315753936768,
      0.576838791370392,
      0.734036087989807,
      0.817545652389526,
      0.697436809539795,
      0.733850836753845,
      0.660674571990967,
      0.636968493461609,
      0.623089492321014,
      0.729395687580109,
      0.644399762153625,
      0.708469927310944,
      0.530038297176361,
      0.640646278858185,
      0.756981551647186,
      0.693513631820679,
      0.749442458152771,
      0.705226361751556,
      0.595933377742767,
      0.672616481781006,
      0.792361736297607,
      0.606693208217621,
      0.7803093791008,
      0.628762722015381,
      0.657519400119781,
      0.645488262176514,
      0.783703029155731,
      0.717253923416138,
      0.653805255889893,
      0.538695573806763,
      0.608953416347504,
      0.698903620243073,
      0.705933094024658,
      0.710351169109344,
      0.617843508720398,
      0.719288527965546,
      0.640239596366882,
      0.749530017375946,
      0.780643999576569,
      0.729263007640839,
      0.721523344516754,
      0.760243535041809,
      0.836633503437042,
      0.757475435733795,
      0.678109288215637,
      0.74340158700943,
      0.746482133865356,
      0.760082364082336,
      0.808211743831635,
      0.73035192489624,
      0.670040667057037,
      0.556787133216858,
      0.685066938400269,
      0.652065753936768,
      0.70462840795517,
      0.73823481798172,
      0.757153213024139,
      0.781259655952454,
      0.51023668050766,
      0.719450771808624,
      0.691723644733429,
      0.671943247318268,
      0.596588969230652,
      0.805881500244141,
      0.716473460197449,
      0.685039222240448,
      0.677887082099915,
      0.676987648010254,
      0.712006449699402,
      0.771162033081055,
      0.770283281803131,
      0.784909307956696,
      0.732854723930359,
      0.715366423130035,
      0.701002776622772,
      0.614363551139832,
      0.748265206813812,
      0.696185886859894,
      0.803739666938782,
      0.702196359634399,
      0.57383519411087,
      0.69794362783432,
      0.65515547990799,
      0.771065235137939,
      0.714663088321686,
      0.722786426544189,
      0.704933047294617,
      0.595282673835754,
      0.80574905872345,
      0.798239588737488,
      0.683642745018005,
      0.796658039093018,
      0.755160510540009,
      0.597885847091675,
      0.696660041809082,
      0.794339060783386,
      0.745458662509918,
      0.735745131969452,
      0.67216557264328,
      0.676156878471375,
      0.72242397069931,
      0.626110911369324,
      0.638674974441528,
      0.689536392688751,
      0.509830951690674,
      0.581463873386383,
      0.789425611495972,
      0.72152453660965,
      0.686599135398865,
      0.741739749908447,
      0.630639910697937,
      0.813927412033081,
      0.845278978347778,
      0.745341777801514,
      0.802446365356445,
      0.701348483562469,
      0.556637227535248,
      0.725701630115509,
      0.804654538631439,
      0.806203544139862,
      0.740240812301636,
      0.748169779777527,
      0.783249735832214,
      0.793605923652649,
      0.711289823055267,
      0.70905339717865,
      0.655901849269867,
      0.715449333190918,
      0.701935470104218,
      0.658230543136597,
      0.575403571128845,
      0.735109508037567,
      0.619925439357758,
      0.673234105110168,
      0.52267974615097,
      0.646269202232361,
      0.563792884349823,
      0.590022325515747,
      0.71062308549881,
      0.664628028869629,
      0.665482103824615,
      0.748089671134949,
      0.699309229850769,
      0.656242549419403,
      0.614020049571991,
      0.481351226568222,
      0.636991620063782,
      0.549760520458221,
      0.646632313728333,
      0.649703323841095,
      0.591281175613403,
      0.671849429607391,
      0.617146253585815,
      0.64466667175293,
      0.816009640693665,
      0.778758883476257,
      0.596118450164795,
      0.635708570480347,
      0.744042098522186,
      0.535429775714874,
      0.616560995578766,
      0.707511961460114,
      0.630753099918365,
      0.623385369777679,
      0.747536361217499,
      0.695079326629639,
      0.691034615039825,
      0.665065824985504,
      0.632457613945007,
      0.628800928592682,
      0.624925255775452,
      0.822379887104034,
      0.713258564472198,
      0.587271392345428,
      0.557110249996185,
      0.739504516124725,
      0.624997019767761,
      0.589788496494293,
      0.639758586883545,
      0.582968592643738,
      0.784341514110565,
      0.73487788438797,
      0.733773529529572,
      0.796976447105408,
      0.726373374462128,
      0.618375301361084,
      0.726159572601318,
      0.802394211292267,
      0.687865853309631,
      0.684731185436249,
      0.681052923202515,
      0.582882046699524,
      0.682072520256042,
      0.678372979164124,
      0.699473142623901,
      0.639068245887756,
      0.503669917583466,
      0.632326245307922,
      0.737233459949493,
      0.600717782974243,
      0.702805042266846,
      0.628330588340759,
      0.56182587146759,
      0.71734607219696,
      0.763434529304504,
      0.696863651275635,
      0.591518878936768,
      0.665699660778046,
      0.638254463672638,
      0.759625196456909,
      0.83142614364624,
      0.80187726020813,
      0.779184222221375,
      0.767143785953522,
      0.6969975233078,
      0.751904308795929,
      0.727380335330963,
      0.725972414016724,
      0.60874205827713,
      0.625804126262665,
      0.73434990644455,
      0.738754212856293,
      0.742960870265961,
      0.835736572742462,
      0.73076605796814,
      0.743759036064148,
      0.664886593818665,
      0.662018001079559,
      0.768047153949738,
      0.580329239368439,
      0.784604907035828,
      0.587533235549927,
      0.575041353702545,
      0.741078019142151,
      0.715654671192169,
      0.676036059856415,
      0.665818333625793,
      0.583945512771606,
      0.687331855297089,
      0.640889704227448,
      0.525853455066681,
      0.653616786003113,
      0.645143449306488,
      0.735602676868439,
      0.755471587181091,
      0.719332814216614,
      0.665147304534912,
      0.695820868015289,
      0.589553415775299,
      0.703988552093506,
      0.673155784606934,
      0.580882251262665,
      0.667330801486969,
      0.679665684700012,
      0.68421471118927,
      0.561210751533508,
      0.771726489067078,
      0.758430123329163,
      0.74374783039093,
      0.784398913383484,
      0.694657802581787,
      0.671318709850311,
      0.722853779792786,
      0.73973274230957,
      0.658654868602753,
      0.675635814666748,
      0.759484767913818,
      0.740045189857483,
      0.612248837947845,
      0.630037784576416,
      0.73697817325592,
      0.487345695495605,
      0.750886797904968,
      0.714579820632935,
      0.542527735233307,
      0.561267733573914,
      0.631573557853699,
      0.615307211875916,
      0.614191949367523,
      0.71034175157547,
      0.772737145423889,
      0.601136863231659,
      0.558604896068573,
      0.586514234542847,
      0.714945673942566,
      0.557699799537659,
      0.625022351741791,
      0.584793925285339,
      0.564874351024628,
      0.635365784168243,
      0.721118986606598,
      0.631744980812073,
      0.671460032463074,
      0.698524117469788,
      0.523868918418884,
      0.512367725372314,
      0.748363375663757,
      0.803050816059113,
      0.695776879787445,
      0.582223773002625,
      0.694028735160828,
      0.67224645614624,
      0.861453652381897,
      0.769982635974884,
      0.640251934528351,
      0.651143193244934,
      0.731202185153961,
      0.747955858707428,
      0.640138626098633,
      0.723752856254578,
      0.669315695762634,
      0.617416203022003,
      0.614528477191925,
      0.812048971652985,
      0.640347242355347,
      0.604202926158905,
      0.713461399078369,
      0.525780200958252,
      0.755931079387665,
      0.708096385002136,
      0.490472286939621,
      0.479936927556992,
      0.515886247158051,
      0.52012437582016,
      0.616620779037476,
      0.59966117143631,
      0.676807284355164,
      0.696428835391998,
      0.641252219676971,
      0.637859046459198,
      0.686606228351593,
      0.598884224891663,
      0.83472341299057,
      0.96174430847168,
      0.999997794628143,
      0.999997794628143,
      0.980791449546814
    ],
    "mfcc_curves": [
      -861.847182340767,
      -568.297965970067,
      -551.986897712948,
      -718.146695258918,
      -641.446070806662,
      -551.646268013212,
      -600.13092137304,
      -706.754711213924,
      -587.535631668898,
      -760.255990153889,
      -684.955155050078,
      -670.944563048264,
      -708.429568208254,
      -675.505101747679,
      -500.436612197828,
      -668.896117959444,
      -735.586735766314,
      -563.749603571761,
      -796.417572910767,
      -733.338269957948,
      -474.712566699565,
      -592.306331722401,
      -418.508649101466,
      -463.946591286996,
      -535.868273032479,
      -630.526740181924,
      -568.711529144233,
      -633.824573364728,
      -550.047625309851,
      -617.420095793622,
      -693.257068869584,
      -595.503974333652,
      -757.151895612846,
      -694.497005385039,
      -655.203530433283,
      -706.281907756948,
      -634.128256140643,
      -397.178149812818,
      -593.605975756519,
      -693.171577701,
      -581.467056568065,
      -685.491817813353,
      -542.517388323852,
      -303.149737760719,
      -144.077963477071,
      -476.840583300646,
      -473.150555119704,
      -447.289303922294,
      -370.049436583745,
      -304.587881268674,
      -248.952308066113,
      -208.8849191606,
      -181.113934922454,
      -178.578057379535,
      -61.8863201999234,
      -189.36209640212,
      -116.207157203003,
      -139.336407989231,
      -209.753787149674,
      -386.312688095558,
      -260.757850004073,
      -413.983340566064,
      -356.870491287653,
      -332.865873104708,
      -557.925137741215,
      -466.717889710959,
      -367.984538152221,
      -408.988027836648,
      -482.629388318408,
      -454.663663451688,
      -520.870336345745,
      -469.410892364807,
      -350.735772898916,
      -268.524694458617,
      -158.676466723002,
      -154.121201139511,
      -300.523971007389,
      -185.013050107818,
      -167.537726087091,
      -352.281537509142,
      -220.254152555358,
      -441.081386237604,
      -439.199633923141,
      -431.204962403881,
      -415.194849671716,
      -453.59784048618,
      -513.149342217636,
      -468.946737557227,
      -400.960088835804,
      -430.207214750764,
      -245.490660356326,
      -257.063519052818,
      -277.210208239777,
      -221.781623129742,
      -201.426184223807,
      -248.982659248261,
      -190.682572313678,
      -146.181156908533,
      -123.038404903067,
      -49.2144625194421,
      -88.5434223558938,
      -153.096058127833,
      -146.655759906614,
      -208.932135347222,
      -321.945563696606,
      -251.061187440879,
      -276.093580922533,
      -320.575346655426,
      -284.79543743642,
      -395.491967412233,
      -332.012236102915,
      -284.215211022945,
      -393.592970678545,
      -310.035630306718,
      -183.885213275396,
      -299.380992210715,
      -235.256767030831,
      -214.14753674178,
      -310.622163325094,
      -277.655743261305,
      -161.921615286348,
      -295.91770534274,
      -117.285414528589,
      -100.859970986729,
      -280.188506715604,
      -213.766826795153,
      -291.330362295056,
      -324.902305301897,
      -248.302581150772,
      -252.142987347883,
      -293.969631092856,
      -204.655408480778,
      -330.502893204543,
      -317.27448292089,
      -267.570939302564,
      -314.151531661425,
      -202.262488245363,
      -188.541121178656,
      -203.710923639657,
      -161.703914156911,
      -164.771846903082,
      -211.331320763218,
      -244.950091461056,
      -217.485794948132,
      -95.5596363604553,
      -180.24041821875,
      -122.548043148224,
      -286.447685832205,
      -213.020557625895,
      -260.883710683708,
      -346.484948170302,
      -347.421388541279,
      -326.677521384697,
      -380.423730375312,
      -310.764555960579,
      -366.269388359699,
      -346.935839826039,
      -355.850699360519,
      -425.964739247104,
      -471.746940054298,
      -414.192984463961,
      -404.786375065425,
      -424.276879031702,
      -301.008744508514,
      -350.801946973765,
      -298.102673015803,
      -181.22125596991,
      -326.866417096885,
      -289.065916053446,
      -256.472562604229,
      -207.886219251707,
      -323.124422213057,
      -356.035494983832,
      -469.285567603802,
      -324.741403068546,
      -395.427314815089,
      -380.435305231142,
      -351.457618491777,
      -471.374533822627,
      -450.72661836993,
      -235.761283640288,
      -231.458189713929,
      -262.624968611517,
      -182.816445334183,
      -271.882914435432,
      -196.974412450623,
      -152.132105847103,
      -209.417394980637,
      -371.284160009324,
      -125.037800843112,
      -132.160313525266,
      -99.9653112894737,
      -91.5101776082622,
      -195.362678466749,
      -154.768410417531,
      -146.303503919785,
      -269.172847521724,
      -212.398162110536,
      -342.213332140054,
      -324.821897098856,
      -270.357932913649,
      -366.286160939802,
      -429.738767594284,
      -198.644119092964,
      -208.676275400356,
      -334.783068507365,
      -235.270282042598,
      -331.177392487118,
      -270.275550216541,
      -194.421010656213,
      -243.419369394264,
      -221.165841708385,
      -176.852642016841,
      -151.229601239796,
      -124.227394158517,
      -202.471548901141,
      -271.063578337814,
      -188.127191806015,
      -161.832132839826,
      -250.355326055781,
      -240.840088663544,
      -322.797832295583,
      -348.377505981779,
      -270.419111164676,
      -374.422170340257,
      -423.04512452653,
      -211.728492679019,
      -261.882603545811,
      -347.261384405762,
      -222.623702561006,
      -287.87860657439,
      -254.219650831059,
      -261.217424538724,
      -319.100915954933,
      -190.923885717112,
      -213.370844971368,
      -111.643967248786,
      -209.123921949246,
      -139.299905664543,
      -59.586126006871,
      -24.9916406027469,
      -104.41426599902,
      -100.557735559441,
      -155.175666123178,
      -243.887357364822,
      -158.673348753574,
      -150.145419344529,
      -234.13765199797,
      -290.859544291478,
      -120.135322008552,
      -163.841016178792,
      -146.520298521326,
      -27.0067706341554,
      -138.123748562562,
      -183.397114150848,
      -128.451582530082,
      -82.2860377663175,
      -111.878364989264,
      -91.8804391050837,
      -123.085320243998,
      -79.5724270670806,
      -95.3549986100333,
      -102.997740250257,
      -144.262442099387,
      -202.400827879816,
      -159.63208837102,
      -167.88912882955,
      -214.938514936834,
      -219.102540086414,
      -232.04683914057,
      -405.558756357361,
      -258.774036673669,
      -94.1794488122442,
      -160.253253836796,
      -230.488382509176,
      -234.995447669352,
      -202.571901501061,
      -233.118282706135,
      -141.2473682979,
      -190.628057095719,
      -172.412286850859,
      -188.035009877935,
      -187.483818641559,
      -61.2119517569087,
      -60.0959282242156,
      -155.543780469449,
      -68.9349999041171,
      -92.6253556602553,
      -209.027530024282,
      -193.783426913095,
      -283.319101047549,
      -239.15655199701,
      -246.076455148295,
      -294.718427925385,
      -326.908802953626,
      -204.150602705032,
      -233.809709141444,
      -272.837506638248,
      -126.178259973523,
      -229.360624504814,
      -236.574436369784,
      -109.206303141893,
      -228.795886801082,
      -196.020672976067,
      -167.304812340862,
      -151.190165885136,
      -58.4340289433803,
      -79.007660998599,
      -147.009726920499,
      -82.5639048835723,
      -94.8703475648016,
      -204.64005751471,
      -193.790469374777,
      -244.114833129939,
      -268.293169017094,
      -250.607416660171,
      -237.72893846005,
      -232.580130745149,
      -163.8729129854,
      -97.1937894912354,
      -398.862771179092,
      -372.882006976859,
      -396.245707072072,
      -448.129825107535,
      -382.640522243832,
      -414.419379775053,
      -321.898980027914,
      -326.227860557324,
      -255.164829087615,
      -195.258028005412,
      -249.442995067304,
      -225.878356773509,
      -263.531007402703,
      -246.458117184542,
      -206.813000930877,
      -199.379044926599,
      -164.494248153207,
      -85.8617883737175,
      -88.4936282707469,
      -65.5316318562514,
      -287.810265643458,
      -366.023054433521,
      -157.73118469746,
      -181.714561513719,
      -120.83841362708,
      -152.808153821166,
      -142.716753840765,
      -44.4622222705,
      -80.7866480320654,
      -48.9336281350645,
      -9.55425875126491,
      -20.8655400055007,
      5.06385309274348,
      -99.1868383829273,
      -64.533679731873,
      -74.8987944236386,
      -44.6731009657888,
      -148.074793737486,
      -90.7662997059989,
      -218.014178028761,
      -152.013399095589,
      -122.202171491244,
      -226.661217110528,
      -172.128543854768,
      -72.3543472365608,
      -137.556366127551,
      -135.301356047457,
      -109.733492060894,
      -154.580233469977,
      -126.237385669297,
      -139.953129993232,
      -134.069744892343,
      -152.763531871983,
      -61.3208974570426,
      -123.410046047103,
      -62.2811381806411,
      -157.517813411954,
      -165.710492064556,
      -139.463722443382,
      -106.171116647886,
      -225.851936234632,
      -153.922599634169,
      -229.958388059819,
      -151.360484826122,
      -175.486753187808,
      -182.956167902512,
      -189.427548655724,
      -67.520768485748,
      -79.6448002355207,
      -121.697605053254,
      -154.329351906944,
      -51.2221150005697,
      18.4456941723636,
      -49.5193535221494,
      -112.09887649068,
      -58.0619936588377,
      -49.233385211029,
      -64.6624306351874,
      23.528787223902,
      -119.239040625182,
      -80.2848209429655,
      -76.6220150072603,
      -72.3565399810815,
      -145.731685635821,
      -100.153584245023,
      -138.054425142261,
      -163.325425849474,
      -174.868685477601,
      -134.350733371698,
      -136.660848567835,
      -75.3631987211488,
      -123.595840998093,
      -177.685214928363,
      -182.448934052814,
      -146.065519764573,
      -206.747025004647,
      -156.072848000475,
      -152.807727674286,
      -186.279316922609,
      -253.982274245753,
      -242.622542274723,
      -213.196809946938,
      -253.704731968814,
      -463.552493406346,
      -358.340228014751,
      -342.545556983558,
      -458.904391187915,
      -479.68997041174,
      -580.102694073221,
      -622.637444673994,
      -621.231659453682,
      -740.820675735069,
      -718.623715922372,
      -612.482081266924,
      -714.034035801829,
      -753.392535947851,
      -854.763187409957,
      -885.96013349927,
      -950.190090086404,
      -964.448742974122,
      -986.757063696063,
      -1003.06998383633,
      -1008.40588992446,
      -1008.52615243236,
      -1008.52584746981,
      -1008.52584746981,
      -1008.5344247594,
      112.993511656546,
      245.385655798786,
      220.833989098796,
      184.928394226509,
      229.277962746845,
      115.406291886795,
      157.751723859337,
      203.755736880265,
      157.233753224904,
      185.349124896709,
      204.47871827581,
      54.863972255679,
      118.680726706563,
      175.296493874869,
      255.744425092071,
      289.037864808972,
      198.508059922613,
      99.6465773290899,
      149.273645973771,
      156.206211596777,
      234.355907437073,
      287.446980911255,
      182.952172069056,
      164.585672437846,
      174.772659325048,
      182.348683915293,
      125.664083698828,
      218.991004740068,
      87.7759047590608,
      197.670681316074,
      213.562765648107,
      168.403579720556,
      207.980050841533,
      234.483761823633,
      76.7350049531535,
      124.481560351524,
      128.125380696294,
      252.211366223921,
      260.013229459407,
      189.250109317074,
      95.3908042814268,
      278.243044230952,
      130.060406990222,
      225.329235089039,
      192.174586934438,
      167.106663142623,
      158.535736172631,
      173.004972359251,
      192.917672753848,
      181.679803327267,
      212.42240849734,
      218.907586012141,
      207.312932222234,
      241.087075730729,
      226.772571042676,
      242.929113095686,
      266.824069025374,
      259.926944806227,
      261.449086297452,
      273.014184891228,
      151.320437058015,
      245.794442551804,
      197.750622570281,
      166.877075252937,
      160.753476634148,
      176.279673432907,
      167.589513782309,
      216.48098577752,
      183.597986619848,
      198.758930759031,
      184.318194439502,
      186.250003101624,
      141.011067773912,
      234.395917742259,
      171.827476950286,
      187.748375747444,
      170.521790923084,
      213.46410920962,
      248.753958614449,
      309.184520620042,
      276.215237842534,
      251.237773101229,
      197.024234922254,
      197.310329768182,
      241.477338274106,
      168.42643868678,
      144.620827507986,
      190.447595005447,
      197.715461708315,
      172.486222258875,
      209.088309009162,
      229.709320106571,
      172.17945180976,
      158.99410093374,
      219.903389947782,
      218.884535237241,
      161.875680093053,
      242.890718655983,
      245.318738165215,
      217.416199881504,
      291.81651463054,
      232.742139687883,
      237.485133644457,
      265.538216169529,
      262.23953047914,
      228.928160973804,
      288.147864949962,
      260.62612489154,
      268.585959420942,
      267.195630927785,
      243.938613801599,
      256.730141786242,
      231.683418196753,
      284.275565143667,
      346.271641528337,
      281.015649785531,
      282.172788991367,
      252.066690698049,
      252.145101427191,
      279.383898419458,
      298.181485982523,
      323.573381106335,
      252.405247771573,
      248.761802179938,
      227.10617040741,
      250.422951602498,
      273.677791486133,
      282.630247785812,
      250.795998065396,
      319.806137255418,
      287.440302768932,
      295.494648474066,
      273.025763620088,
      256.267630663762,
      247.220595250834,
      341.904926998702,
      243.874613669053,
      244.700523234387,
      269.44713356372,
      257.368801176457,
      241.801713125488,
      306.77454896997,
      235.604215563484,
      273.576011724604,
      239.000047247099,
      231.426514482374,
      227.289365167517,
      255.096424289392,
      189.405678113686,
      186.069396712335,
      245.880397243247,
      236.65446513987,
      197.571893522723,
      233.208145158415,
      224.923494366522,
      206.695244265973,
      214.117802459955,
      215.259998817013,
      192.914296502073,
      158.265730890577,
      179.093514181642,
      161.559225565128,
      248.552520663552,
      235.556017836573,
      211.909484434653,
      246.948715082749,
      210.919625585198,
      239.87209491301,
      254.629154611095,
      266.550893398224,
      184.811923451001,
      262.039177430959,
      257.784684910874,
      242.987269892326,
      243.265323007635,
      245.68960458599,
      260.727402483079,
      252.622783335027,
      186.420235691899,
      148.223773984077,
      159.799729052507,
      221.019851659021,
      205.143752548837,
      193.664246394861,
      213.351324899032,
      179.249801320489,
      160.444102463171,
      230.79901463877,
      225.381428261983,
      159.205521205312,
      199.24045939432,
      239.935512685673,
      268.655607651072,
      221.743543340194,
      247.554247016207,
      245.971990582708,
      271.551198799079,
      277.184007011303,
      268.053489383807,
      263.894740131276,
      277.829478492599,
      235.18632518008,
      190.692153333855,
      238.859850120895,
      271.408376236093,
      255.001790946955,
      258.346160698884,
      261.440348351579,
      267.034260550451,
      244.498339514214,
      244.715599133187,
      260.213994149737,
      191.13811614672,
      234.424232601926,
      229.240358911968,
      268.981024335253,
      255.751565909768,
      231.425366930727,
      229.648061576013,
      211.867296104755,
      271.793629153425,
      260.405423254814,
      237.126964040004,
      296.707945081576,
      243.077466698382,
      196.88450852034,
      183.758759438246,
      266.081095492995,
      254.761256911423,
      226.473465037627,
      259.878905533884,
      271.579119581897,
      237.208343496565,
      244.777423201424,
      252.01765390956,
      219.419630079832,
      227.309090401758,
      278.257676161475,
      317.610110868071,
      289.851466535427,
      309.854461628035,
      290.094118229424,
      307.894903182726,
      295.161879561558,
      273.825188616482,
      248.204475859096,
      188.433689052276,
      253.925711088578,
      279.080686188285,
      170.894714320365,
      205.594864326216,
      160.401112608838,
      210.212794022023,
      225.30398836993,
      234.107836575015,
      262.226022955907,
      234.216715217989,
      190.706772845229,
      212.646076333303,
      207.723369568509,
      238.901249869573,
      206.932864863277,
      228.797764282422,
      302.633014648384,
      297.040379325943,
      277.726460452281,
      293.326600229967,
      263.907371485977,
      238.828428659342,
      270.756644537802,
      199.733347540545,
      242.264029578401,
      254.626026913146,
      200.825426834165,
      211.425441222561,
      219.333266660168,
      246.314640342511,
      273.837624160342,
      248.224497314506,
      278.259819451695,
      270.803911517419,
      283.311692078509,
      273.380176757955,
      280.325205679951,
      289.085840400742,
      199.421891961245,
      274.564696374096,
      262.769472180617,
      243.76568011765,
      234.687573797608,
      279.91659770979,
      256.423683967015,
      276.645749958295,
      235.74781904256,
      223.883004849216,
      244.736438662938,
      267.277660499803,
      241.382298207815,
      345.25694973828,
      289.605663688107,
      268.122214969047,
      259.015741116267,
      234.625452625329,
      290.106014153708,
      297.567728739299,
      269.027304797265,
      281.278881608404,
      244.851256265383,
      203.899510825212,
      255.232302622498,
      261.106046011633,
      246.951467089359,
      266.967273760252,
      285.226324777974,
      238.955942588803,
      280.57336530002,
      248.509100252494,
      229.845412354322,
      228.38291233275,
      224.55491379591,
      216.89883742657,
      246.255258057319,
      205.827350007201,
      139.289788727876,
      169.833134815277,
      189.393066980824,
      169.943036976973,
      239.586482729473,
      237.136849567878,
      201.025698443658,
      177.48666365275,
      188.362822433172,
      222.766268033464,
      185.722567882896,
      190.553148628789,
      143.430370786545,
      186.73147234204,
      155.587243123223,
      210.39085649646,
      280.593211325137,
      217.700848853396,
      142.065706537365,
      150.09910351922,
      166.866719306678,
      309.937295193344,
      196.394666117907,
      159.106248771261,
      180.105767249468,
      142.957270978593,
      198.861378141236,
      209.795141357176,
      174.357531970867,
      231.963670009655,
      259.846420033317,
      214.641013397163,
      266.452304463158,
      269.989262193342,
      237.716155529051,
      276.377847335442,
      259.264864566171,
      276.744905604201,
      289.23551519703,
      235.441806777957,
      240.181015790251,
      249.730663284622,
      299.933339158978,
      243.801468093455,
      264.44017871637,
      283.89559544179,
      255.86768574466,
      203.194429378373,
      284.128901537236,
      222.742619531353,
      229.325692751439,
      254.935740402322,
      232.795425996127,
      289.492161840947,
      247.871602279887,
      264.322546020154,
      250.772276058871,
      245.172021834768,
      240.185754879818,
      282.944344659223,
      236.826018795323,
      277.340525345698,
      238.333141641742,
      232.739326786972,
      285.349132390797,
      263.320092418729,
      271.226937025411,
      287.270862515734,
      255.122053415918,
      218.899643682284,
      251.218804753729,
      241.539316678536,
      269.534692749975,
      235.316519526617,
      265.362209652381,
      244.523108687811,
      294.509757168002,
      202.977087592855,
      250.978626599591,
      223.5297023171,
      230.841116090364,
      295.895238049582,
      322.868735165703,
      297.583600945363,
      272.385284178365,
      246.664322194506,
      217.611649994318,
      212.429459453114,
      284.305228407333,
      288.857039438965,
      260.900558523563,
      258.520895648813,
      223.715500237797,
      248.263172884818,
      231.895507111545,
      243.318358068182,
      205.230489743555,
      250.534197067948,
      254.688658076199,
      262.94955770389,
      229.761389119613,
      242.075131424303,
      189.887837272871,
      226.410429792044,
      244.523018061434,
      210.148991294873,
      211.623170482808,
      180.99165869791,
      166.643602645908,
      142.114312514604,
      197.575747978976,
      191.62407385117,
      143.342699540413,
      121.932337132707,
      107.749841650162,
      66.0944973443598,
      52.267149298274,
      28.4541634604198,
      7.85783107894103,
      0.37874625846589,
      0.20873489455159,
      0.209166176220717,
      0.209166176220717,
      0.197036071199771,
      17.5310552484408,
      44.7070889264883,
      53.5379022337649,
      84.5671001328979,
      115.058291267877,
      50.5528306636295,
      67.1115050968327,
      121.072528974876,
      64.9971128354957,
      91.7633502136376,
      68.0319092551242,
      8.77297434806592,
      14.6711297499297,
      96.1038472575963,
      72.3495209382847,
      91.318117671599,
      112.864967436753,
      64.6292212277568,
      66.7625067215168,
      92.4049581105575,
      80.6770050673443,
      120.935175104014,
      96.9382072717001,
      81.2213538167911,
      56.6553991734952,
      72.7389761629667,
      35.3185143986196,
      93.5738186856594,
      59.3322185926869,
      94.2131284698119,
      130.739375697211,
      74.0925221109926,
      100.204970023639,
      79.7432755276238,
      23.6125443695902,
      31.4484831613601,
      21.8742052598424,
      40.1691222138401,
      98.4328875144512,
      82.1669548314311,
      56.3811837597613,
      111.221942980936,
      38.8678403582395,
      28.1592077225414,
      -37.9697244572531,
      -4.14558391916053,
      -19.3930598924978,
      -21.0908428024122,
      -15.8125027607539,
      -29.1025746860361,
      -34.985745639298,
      -47.4437394572498,
      -26.718304708707,
      -24.191670836805,
      -31.148579245224,
      22.0691324814674,
      23.5728922850334,
      17.5279831099043,
      44.0701828039607,
      82.4096818678029,
      -23.2571775585296,
      59.8555775731253,
      95.1563985327191,
      5.51004343111134,
      34.4347976188928,
      29.2975295906158,
      1.24692003564235,
      40.0677933590498,
      30.6616813550653,
      30.9381859900027,
      52.4023740402506,
      25.3314332158991,
      -8.89396524903281,
      53.5886411405836,
      43.365185540096,
      59.8989391189023,
      15.8187570546571,
      29.4836415813823,
      -3.39131581862509,
      60.1144682974882,
      10.1348274917343,
      105.14493757644,
      80.0193490571863,
      27.7200794588839,
      63.6491310221599,
      33.4220816918973,
      36.6757650084524,
      60.0893183342891,
      30.8815014765599,
      48.4365904729467,
      25.2421885402596,
      20.1561065892581,
      35.4747360114159,
      57.4797851064679,
      29.047683386053,
      17.6084229740557,
      42.9306622726702,
      10.5056030176025,
      8.31167963962819,
      -10.2477582819261,
      -12.0231454741613,
      -1.57633840842316,
      -2.82636039788244,
      20.9675468769175,
      23.3619678277444,
      35.4741608406392,
      20.3080875495866,
      58.1623346218022,
      35.6698937657761,
      51.2800184486244,
      30.6960035066732,
      1.1612737316271,
      42.6132495359288,
      47.5747908475861,
      -0.399416073493218,
      43.2405689007659,
      32.3734640150083,
      8.85899235802017,
      51.6495887591917,
      44.1445707540814,
      9.89392278478106,
      52.847408687854,
      38.5197034759598,
      -3.27477666598946,
      34.7276876807831,
      14.0633473022273,
      44.3585616374384,
      41.5227001570451,
      33.9505797137895,
      34.1764889652817,
      35.5319569172614,
      1.71907224718725,
      28.2621994335897,
      37.5161939644063,
      5.30190172922021,
      65.1935234023097,
      57.7725246083918,
      38.5346686495744,
      46.1777699227729,
      47.5675227757933,
      29.4203155517994,
      24.5413423213512,
      59.2360588568076,
      33.8207393137645,
      13.3403322728479,
      6.47610866708696,
      -36.8016647603117,
      -20.2082876119168,
      -33.3693726327754,
      -43.1138825108194,
      -7.61517420818477,
      26.598942294186,
      -8.86197730179423,
      13.0524444311823,
      -2.3257449562989,
      -2.49568007135791,
      -16.7637164279747,
      -8.14095972224255,
      20.4459187258131,
      10.2768387284696,
      -6.50621154740191,
      0.953040027446512,
      34.9362557747411,
      8.72775641931115,
      40.2829839256968,
      23.9141385114836,
      3.90800111946649,
      41.9443475438581,
      15.7994116851524,
      18.2628017782618,
      7.83001067935645,
      24.6380862772868,
      42.0641392990131,
      53.0851719323259,
      15.5963008770837,
      46.7088223167901,
      46.7594210888534,
      14.8811731348397,
      23.2020412753392,
      3.98823988279221,
      4.36285045128037,
      21.8534436562288,
      34.5075856315863,
      -4.7353409616234,
      17.3800454371447,
      20.915233138969,
      -10.9231357536793,
      18.8079395856517,
      55.3202559771136,
      -8.69645814178734,
      -7.47022911701345,
      -34.936681571304,
      -22.9023813750388,
      1.44624128916772,
      9.36165292711896,
      15.4618187932613,
      29.7382891934698,
      10.9049827124398,
      53.5205630402472,
      54.32356018173,
      17.1898134698931,
      45.9734656723384,
      38.095233745584,
      -8.08597260622473,
      49.6888773113456,
      56.6376937795162,
      18.6412541251573,
      57.5126491302088,
      32.0706704582391,
      13.8574544609461,
      22.3807641494343,
      24.0223600786862,
      16.222653115567,
      -7.92270568197593,
      13.7384909044514,
      -14.2354999891559,
      4.14563418164586,
      9.42673540714109,
      30.3569948219492,
      26.878286512422,
      10.0533465436405,
      40.5656883795748,
      39.3701954096993,
      21.3223675939306,
      63.5549813471492,
      39.4346797962383,
      -18.4891205519691,
      49.4841926922366,
      54.1540882305718,
      3.28826645906084,
      40.015952897068,
      45.2550536551983,
      39.3630161001114,
      55.4649712355175,
      12.9874960009628,
      28.181421872911,
      -15.6861536512546,
      12.5411579095535,
      10.8142296125114,
      1.80090398533421,
      -2.86106541921517,
      -7.11512233346788,
      -7.16187969862881,
      -25.8150997460887,
      7.95085788143485,
      8.40102594390991,
      -18.5270511469737,
      10.5417481760982,
      50.0337900115343,
      9.62260056508379,
      12.9212862219693,
      11.7867733570799,
      -16.0469330720965,
      30.9280383690155,
      9.93814321268497,
      25.7429855918901,
      21.214894503544,
      20.830838621568,
      18.1575502958954,
      -16.1124462171317,
      -24.2876038973638,
      -20.4341076107251,
      17.0856906860563,
      11.2960123530592,
      -14.8127802561752,
      -11.2284490071904,
      -0.930802543572796,
      25.95666780967,
      13.7937731991493,
      5.4517164952205,
      39.2011898496222,
      31.0646991499185,
      -27.0262567846153,
      2.72368078817777,
      -9.80638842717806,
      1.61680510599993,
      -1.36739272584491,
      18.577608426738,
      10.1633475732172,
      -0.298285715143516,
      41.1666744993873,
      6.45069008508482,
      4.98476535091396,
      -9.52251627847064,
      -13.5843449832707,
      -4.66909139202884,
      -7.59292655646868,
      5.43391498584816,
      17.5450718934874,
      35.6396519772939,
      39.1384719126226,
      44.1660295764116,
      47.0027802370342,
      36.0816287089457,
      32.8477937863497,
      -6.52352592276416,
      57.4687619688209,
      66.3995588612882,
      4.60755909168535,
      35.2866969818467,
      42.067389524454,
      9.82709233598324,
      49.9575240103303,
      21.6396813870951,
      16.9329783542903,
      13.674082292265,
      1.33961784925285,
      -12.2330236956271,
      -0.293370543272918,
      -28.6795796612878,
      -38.1630602031748,
      33.7791178200601,
      33.0623181489285,
      11.1160336180811,
      43.5762710403525,
      33.4923360563754,
      24.5718424294941,
      14.422177842811,
      -2.24906338614397,
      0.28746744628385,
      91.7926222852335,
      83.865678710496,
      83.7690564659351,
      55.6969354028284,
      85.8440231785314,
      68.0170637376213,
      80.6016141473378,
      79.6932235170035,
      32.7089835999371,
      33.8276766162003,
      30.0534434826173,
      41.2733757609609,
      44.596567565644,
      39.1561512319648,
      42.8213992116063,
      18.8601436396514,
      30.6334880166963,
      8.98917221668907,
      21.6959525799562,
      29.2258784934405,
      57.9192900579292,
      26.2405648633308,
      -14.3028604454657,
      10.4152279339061,
      14.226528467072,
      22.4011750868922,
      5.50832601644696,
      -2.43405392327187,
      1.56678197234057,
      -4.43298257404927,
      5.31779635613465,
      -14.305617142184,
      -19.669249520736,
      10.497261554108,
      -18.5851879471361,
      -36.5730423538217,
      -10.2145799696748,
      29.7254518330332,
      14.7514509261677,
      27.9036860789228,
      18.8451188338242,
      1.34309715762163,
      16.2591582447535,
      6.15046481472819,
      -18.7506892427778,
      19.8478196685522,
      32.8586191682018,
      2.14762482262944,
      19.6905578538849,
      13.4344956560921,
      6.09822601422912,
      37.5536603424649,
      36.3452710909765,
      -6.07328351039734,
      31.9591022071139,
      -5.22684866535628,
      15.7257490953084,
      9.90224347384708,
      -0.491821751303569,
      -1.84784231145495,
      20.7165794965235,
      20.5627744468412,
      18.2831404512254,
      16.9972960774539,
      13.5752209040694,
      10.3038559985863,
      -15.0514639634773,
      -10.688621616854,
      8.23013253069376,
      -18.4467432586395,
      12.1427675676607,
      7.23991505816767,
      -21.1992936976212,
      -11.4389911833337,
      16.6677512908629,
      0.704358839787565,
      -25.3877012251549,
      -0.661091223858373,
      -2.23203814402482,
      -5.58197791763068,
      -43.7020212678348,
      -25.7002901671114,
      -33.9878041862658,
      -22.0003209200405,
      -16.3138936324635,
      10.1046640279709,
      -3.38952185789172,
      -17.6614009856097,
      -19.8489858823458,
      -19.898729844848,
      -37.6477379336201,
      14.0958526118853,
      -3.50124115751019,
      -7.6877072630922,
      7.56768482522479,
      6.14253063925421,
      -28.3339188772485,
      12.8183804248727,
      -3.38614451597909,
      -2.65208288492145,
      14.5170962787628,
      -6.26636985890283,
      -13.6357032124517,
      -12.341083672691,
      0.965056827376048,
      -18.6665662719644,
      -3.3422119369403,
      -3.6911452130091,
      8.67851112735693,
      20.2062655878913,
      8.70088626629007,
      21.3284473072367,
      -11.1898314716179,
      2.07357655209267,
      42.8146816994631,
      21.6703223717742,
      41.1186723039596,
      43.0900269277551,
      44.4969346722924,
      36.0802458351914,
      23.7046051901679,
      7.68491492642901,
      0.378549057627802,
      0.208734159228126,
      0.209165439377951,
      0.209165439377951,
      0.197035377088484,
      -0.999819611528254,
      24.844191493078,
      17.8275284698752,
      2.91170969796454,
      32.4361878682327,
      81.818827008666,
      51.6584298678355,
      48.0905341603224,
      42.723264849958,
      24.4060254930998,
      52.1672772023687,
      59.0453990639747,
      27.3819143826655,
      36.3376387525354,
      14.6290980105497,
      14.3248011985075,
      50.932238002475,
      58.4164378458866,
      30.1322947667985,
      12.3883584061869,
      -0.193501992960356,
      17.1447081133166,
      -10.5394518641937,
      25.3665167223083,
      36.1534906853255,
      31.2788382293857,
      28.4917311858527,
      33.2876746762031,
      75.9696050745327,
      58.4304184188176,
      40.3322719122155,
      38.975507195376,
      35.8346220267358,
      47.7111918743773,
      66.2772746867463,
      58.4531038630496,
      48.448468465736,
      -59.7604076413696,
      33.8594876311112,
      64.5581257597567,
      84.0710554691963,
      86.3374705364645,
      70.3613297482926,
      83.8117222716346,
      92.515731942354,
      90.3457478113774,
      84.9468488512206,
      91.9763451179787,
      99.0385117546115,
      99.978965720423,
      101.426317389386,
      90.7203145647266,
      98.5309847151306,
      97.7366041489313,
      95.296877370733,
      63.3993637501375,
      53.2810944585654,
      50.6785479696995,
      18.8820074310615,
      60.5759265780118,
      83.6592655987708,
      80.1411945510073,
      72.2571256251629,
      68.9780896225206,
      98.7140841792038,
      74.7307338133633,
      45.7904987348534,
      88.399867167231,
      94.4989906254569,
      95.3306068892286,
      107.440219819129,
      94.6486520182223,
      110.44993669314,
      60.7391520304239,
      103.453901493758,
      27.1123101711772,
      109.363310852386,
      81.423836931572,
      60.7002921081242,
      36.4637771983529,
      34.1648177187295,
      79.7375156834387,
      136.707335974497,
      95.0908908569864,
      75.7873723865279,
      97.7385197834814,
      81.0151772850815,
      116.626059164257,
      87.8736108985886,
      89.6091660048902,
      28.2939931581971,
      63.4712934421856,
      88.3103374470872,
      98.2130614315869,
      55.3311198226381,
      89.073326318682,
      89.9938869064544,
      56.2422151242431,
      44.6386423046628,
      75.424263478366,
      84.0748710024152,
      80.1359038344385,
      62.9191829366566,
      52.183265444518,
      58.838699849886,
      90.7078104825415,
      86.8249830302599,
      83.1148538298985,
      88.4334402907432,
      87.9975727882405,
      84.1911806637667,
      76.7396475768312,
      79.2729649045233,
      73.1874045009887,
      39.833190639212,
      58.0669325850382,
      35.6027041306022,
      70.0625909640859,
      81.5429422823395,
      47.0116747612505,
      55.1373304213339,
      56.6483317338106,
      26.420617564469,
      64.7362522160305,
      91.4198746780646,
      86.0601892174186,
      66.694672730562,
      59.6329818191527,
      97.7876645737235,
      75.6245355299958,
      66.4322981388145,
      77.9980043453854,
      91.4489500240462,
      80.2194806512893,
      62.0493148063592,
      65.865234751916,
      75.6732467174952,
      30.1768692033886,
      45.0537688101447,
      12.5389370404801,
      52.65553000364,
      65.9636255164529,
      60.7370272783914,
      94.0139064925256,
      99.4403939118591,
      106.950082338883,
      97.7767792093028,
      71.3570583965173,
      53.7662010251141,
      58.7433731981452,
      67.4075230948928,
      77.6005003840295,
      78.4575032382325,
      91.4480805048185,
      77.3919578193249,
      82.8765543927912,
      71.6208813646182,
      81.6121728600777,
      97.797911837479,
      100.482190715164,
      109.832665282855,
      87.8409521988413,
      88.7977913209792,
      100.936109298772,
      113.948719136274,
      82.915553570933,
      93.0245870832945,
      92.8184586818578,
      83.2701563401996,
      83.187311194674,
      112.67929687977,
      71.0403521910179,
      103.469487119195,
      111.611758754936,
      89.0810401065436,
      109.393823238046,
      84.8637033851693,
      91.8770267341625,
      95.6456551966772,
      91.6803460696192,
      100.120532401798,
      101.58039000549,
      117.576281162763,
      91.0407627497214,
      108.557992759798,
      106.106658392237,
      90.4293492473194,
      92.5675703317531,
      130.600420026497,
      91.1000019176061,
      93.4686262978689,
      84.3377402820389,
      88.6106750759357,
      72.2671254534232,
      69.6278978920527,
      80.5451554029545,
      85.9056267295194,
      72.4450775196926,
      89.2869093498122,
      76.298663429429,
      75.8137234186091,
      89.6964255607132,
      91.7412357970257,
      80.7991495677894,
      89.31481429479,
      116.001500594093,
      94.1850316115476,
      107.440342149041,
      102.273454702263,
      105.442080244732,
      90.0852103946533,
      82.4157970289353,
      92.2798771476349,
      75.1128642436868,
      81.6661531847632,
      73.9151377790699,
      60.0093413167411,
      74.7004460881284,
      97.837452662726,
      78.9533129439559,
      69.6893600161091,
      93.4817853481152,
      90.5048073958508,
      76.1682788248222,
      108.263364228127,
      97.2401305091951,
      96.8724792424137,
      109.992564070384,
      109.56379345786,
      97.2055869542188,
      121.97595921406,
      109.756029014037,
      115.31343452839,
      136.70042497194,
      114.709804215375,
      123.162227031082,
      119.468210226422,
      120.502009596278,
      44.7884652979595,
      46.7481987071897,
      51.4736509036373,
      38.8035338373883,
      41.2020744929137,
      48.9933065705583,
      41.297548190763,
      18.2740600294449,
      66.3030334622507,
      90.9186849820992,
      46.1273964320585,
      61.2823245704791,
      40.5365542252227,
      58.6693770451743,
      45.7744765298817,
      62.9270931796872,
      81.7807459954834,
      60.9482710088703,
      60.4078041995238,
      72.8013898969619,
      55.5105451476472,
      65.8245062084825,
      96.7770990509943,
      85.4572346541128,
      56.7293099311185,
      63.0801841652559,
      44.2716111768191,
      37.1122902497006,
      58.5251708231364,
      49.4320866992495,
      19.0347431999637,
      62.4412859855702,
      96.3569847164749,
      64.5359597060917,
      31.717520606728,
      103.915238867501,
      75.1313287205193,
      70.8099703768889,
      92.9480863857479,
      45.7960458889932,
      74.9303275269869,
      99.5574164688615,
      88.9209039021638,
      58.6466204637791,
      78.5649891082345,
      76.4514922366649,
      55.5658767169065,
      54.9154016461973,
      35.6101859285249,
      49.0514444980937,
      74.2994666409956,
      82.0432606071845,
      78.5553932535054,
      88.3253995254288,
      81.3795682888041,
      96.0968341985009,
      89.0658890425958,
      88.6703463950036,
      98.4278729761593,
      111.748728565577,
      57.1540491432506,
      93.96614387963,
      98.5778914690722,
      94.3071977148397,
      111.52195905311,
      67.9286964608848,
      81.6946788405033,
      92.2086727170787,
      32.5455300238294,
      77.0608780362585,
      82.5629499261974,
      67.941719747917,
      80.9751482793755,
      91.1605362127978,
      92.1508059445066,
      79.2387463886652,
      97.4147628936909,
      82.5759200560567,
      81.3656159658423,
      98.1731028753439,
      87.4418150458407,
      75.2993801244167,
      159.822090740195,
      67.6376171557498,
      159.235260614938,
      190.54335829722,
      157.375003028912,
      151.675689846114,
      141.944509578914,
      73.2391661295079,
      86.0490628011442,
      64.5528456214647,
      87.936217998268,
      99.0378393516931,
      106.232409532752,
      99.3794536125463,
      121.150886482499,
      129.659708081385,
      108.254341127971,
      115.660311429163,
      86.2994283508682,
      64.0664662644174,
      122.149527384037,
      43.3573894663038,
      36.7661000538917,
      93.8439097273891,
      26.4066986893296,
      105.314345518433,
      110.893647945691,
      98.1201458058923,
      111.940915878339,
      85.5439498188663,
      84.5806673889857,
      92.0101437919023,
      86.3844126242106,
      78.4229510074393,
      72.98599438684,
      62.4567099020536,
      49.925693794982,
      64.3008685746446,
      47.2426597728471,
      78.613179586872,
      45.03648831396,
      53.5371521213655,
      72.0830111354625,
      52.2181033365875,
      58.5990297685666,
      64.1792125806856,
      76.8207448269246,
      66.024810957278,
      67.6220888111151,
      63.3988452556389,
      99.4722016433901,
      58.1658934129122,
      86.994351690873,
      71.6121601682603,
      83.4280525481849,
      79.4696383626164,
      69.9011005994554,
      78.2856429969444,
      80.1830553877738,
      54.8495882084948,
      77.8956233551299,
      95.0591525316909,
      82.4258632355304,
      89.5156856302768,
      71.9811575042237,
      70.0652763127486,
      78.5030443330816,
      57.7316387725763,
      82.8590592432301,
      52.8888625654259,
      68.2103345150337,
      95.2661153080327,
      57.6490172497558,
      87.5502110208637,
      86.7047360965016,
      81.8069389977423,
      87.4571161522492,
      74.8105428265493,
      59.0611161260606,
      78.1173357824502,
      64.3651195063515,
      60.5034323821443,
      62.2557297985431,
      52.7005694264863,
      36.0620955197678,
      79.7507174137976,
      37.79651711729,
      54.9468261609921,
      41.9758074535701,
      42.0696146389353,
      60.0411040468422,
      56.879208251433,
      44.0304393239593,
      70.7315004889132,
      77.1791713639682,
      95.6530236694752,
      74.4157956523521,
      75.1879730586182,
      59.5002090563139,
      82.8906161986514,
      60.63769801476,
      57.679358836256,
      67.873166949821,
      39.9997042152199,
      56.1654384453656,
      59.0622911062577,
      39.9336219161932,
      49.422546959635,
      47.5999314242698,
      52.3085796668069,
      51.0580003790411,
      30.8470654292191,
      18.5995608457185,
      27.4818578355388,
      32.8941043655615,
      30.0187989828602,
      48.1252703596724,
      38.5893537490915,
      38.8034321839261,
      28.7742151689106,
      20.7822096607097,
      7.46538656170943,
      0.378220562481081,
      0.208732933690939,
      0.209164211308596,
      0.209164211308596,
      0.19703422023815,
      -4.47053585077663,
      8.18645734194773,
      12.6771836732774,
      -34.2557094800557,
      21.2932918791933,
      24.6508119812978,
      -11.1538817760258,
      16.9130046823375,
      7.11384384528177,
      -6.7761147936756,
      1.78585954973776,
      27.4282696167146,
      7.29221575962233,
      3.98967474906976,
      -3.9407165215609,
      33.1308146664936,
      22.7816666439466,
      10.605225304053,
      19.9168462797223,
      13.039370742638,
      -3.57713820885394,
      41.6784899572394,
      -31.9526917473259,
      -29.7316212028777,
      -17.955267381152,
      -6.00902590241438,
      -10.4413268182763,
      14.4819353060029,
      1.79886354194401,
      -17.5506125615134,
      -2.92119451768304,
      4.6722947781647,
      -9.54665043015403,
      6.70487195809958,
      36.5656128574024,
      37.3383080201883,
      9.92802462256047,
      -59.9985845331097,
      -19.5669250984033,
      17.9290521785191,
      20.4548847089018,
      20.8554916160462,
      -13.2619981605177,
      17.2896757436234,
      21.7978766159058,
      50.1305036861748,
      36.1084796117866,
      34.9029627388082,
      41.8687617679657,
      36.3037139626991,
      31.9454103851341,
      30.285454060186,
      25.519337283822,
      25.6441578441223,
      13.0640567467794,
      6.51933108602197,
      -4.4558953745062,
      -9.70601728117462,
      23.5960757726655,
      42.5739634861018,
      34.7192102117471,
      47.5300082602698,
      18.5008615360145,
      25.5983932587054,
      64.8225453420178,
      36.1200233883515,
      10.8634067892342,
      52.2810912411498,
      51.7724497011,
      57.6091945731956,
      77.8493613439992,
      58.2432639634904,
      57.8431449014079,
      18.6065516398444,
      -5.97699780292048,
      -15.4071699342633,
      38.4681085985851,
      14.8947991589213,
      16.6082381384876,
      15.6571374212091,
      10.9648980315695,
      48.7445197943436,
      62.5812811687469,
      54.220600981176,
      58.5344031234458,
      56.6418540673628,
      37.6695885127247,
      66.2258378399637,
      35.4093285715708,
      40.4220210910653,
      11.7016517321636,
      23.2367569898053,
      -0.525651493817469,
      13.4502290879951,
      0.881381339873986,
      23.8062853030707,
      11.0408628449797,
      12.0401627006781,
      10.9194012173987,
      8.15674250884963,
      15.291411699945,
      10.8895096291853,
      7.01961072974261,
      -15.8963590379277,
      8.15523986116489,
      23.24897200833,
      1.86297587586848,
      14.5011528775259,
      17.3258115023424,
      34.4570201446955,
      26.918044958344,
      22.4628629012247,
      33.557548755401,
      5.09622855135979,
      -13.1249322989274,
      11.9538702716049,
      -38.4684232317883,
      4.08038459790736,
      22.5119391585826,
      -2.17245469746337,
      -1.31121366506955,
      35.3045084963693,
      -31.3505144736529,
      -18.125923571256,
      -8.77274115355508,
      10.4224267469783,
      2.81354415744654,
      5.44262705290443,
      23.9292667365512,
      -8.05430569803531,
      -8.44951400633049,
      -1.48803820217866,
      3.74036809664673,
      1.9411696864037,
      -1.82370958854943,
      20.6469265655953,
      -8.54982867695558,
      -35.4745272561385,
      -4.08859224729093,
      -16.3537334074389,
      -8.28116528119651,
      9.75579350025669,
      14.2476408463587,
      -1.69730838895323,
      3.63592309781827,
      28.9416750338277,
      22.6588427102707,
      24.8404341623032,
      24.3651739668169,
      12.9678500895367,
      31.7387722906432,
      41.6208189346744,
      20.1582852143863,
      57.6967853865809,
      40.5120160813709,
      32.6007476464189,
      44.8067056633986,
      47.4971244619006,
      62.3747089858972,
      77.8910183523882,
      79.8722076531884,
      52.9904031973986,
      53.8081832641725,
      45.1567316048841,
      64.8970054836419,
      34.2824105458445,
      30.2791448052923,
      49.5234497164439,
      35.6999193290593,
      22.3541813986175,
      48.7531987819741,
      35.5741795256852,
      42.3996394198298,
      76.5443816991036,
      48.4409258104619,
      58.864505348654,
      52.7398838538312,
      47.3480901571446,
      54.6672036507831,
      60.4691545896469,
      34.3693583352206,
      24.145470512917,
      51.7018504230364,
      34.429790855564,
      46.2121556839928,
      34.0743446670231,
      31.1036048939748,
      17.4204517317195,
      64.0098327575377,
      33.6574981861441,
      14.4228235601009,
      16.3926172132816,
      10.9938042254441,
      23.4153592328226,
      12.2271230022167,
      -8.56262392800779,
      17.2194590056894,
      14.446465177089,
      28.1078693146478,
      25.8197359789909,
      26.6239920130285,
      25.0094139358295,
      51.9624355057855,
      21.2075650431743,
      3.88338527805359,
      34.7266179020607,
      27.3879080880307,
      30.2111082116198,
      28.0125601951477,
      10.3156899435315,
      15.1398874685464,
      14.3963574195767,
      16.4095050498632,
      5.25374758374913,
      1.96794590785492,
      15.8930374066509,
      16.5728340434964,
      14.1439109958852,
      4.4117926669989,
      13.3666365413114,
      9.31114740063123,
      28.7281765312576,
      37.6855984585897,
      23.7710702010232,
      45.7769791853942,
      42.3915196545745,
      23.0568788376539,
      9.97271085256235,
      32.1552169441015,
      25.8300559036843,
      17.8628444059566,
      16.4184625734504,
      18.554568315304,
      33.9165196408018,
      -1.54806852556487,
      -10.1030726122406,
      22.4217782075404,
      29.3307030372141,
      -17.7567325053975,
      -25.8253518880022,
      -52.7862611283753,
      -69.1225476387696,
      -75.6467296993771,
      -24.0605514076829,
      -20.2509322435996,
      -72.6018574408003,
      -39.199395725127,
      -7.97189709657064,
      -5.9279904464792,
      -18.3280280012996,
      -20.520737086724,
      -41.2210871816877,
      -42.1372541764815,
      -54.4776051479253,
      -30.3719355347332,
      -16.9768362929179,
      -3.76929306022648,
      -21.0998254824624,
      -36.877118274758,
      2.87302636303883,
      8.66670956228771,
      12.2023928700337,
      -4.14087609938801,
      -4.29179455810887,
      14.1963233778891,
      -12.484493009427,
      -5.43220388189911,
      -5.14913251429194,
      -6.57139351467524,
      27.7576914865635,
      45.7495888793819,
      5.81830558310316,
      -22.5777471841745,
      -5.81961187342948,
      4.99932555279688,
      -1.26763581947464,
      -9.17220505079372,
      -21.1862721231131,
      -39.7660411829912,
      -14.9761133902377,
      -37.6300340842183,
      -0.900385830052014,
      4.73403421169786,
      1.11352733041694,
      -16.3836079057764,
      11.6992632670631,
      -35.1215323275034,
      -39.1030194901205,
      5.8675823354101,
      -8.50696618548059,
      10.4462357784219,
      -33.0331485278694,
      -14.8884243439442,
      -10.7117845489186,
      14.9816840946464,
      19.072278210721,
      -2.43295549421707,
      -14.8015409704332,
      -28.9615134042158,
      18.1108776328778,
      -22.7533809494338,
      -25.6799618350578,
      -4.93769739682683,
      -16.5714799809117,
      3.40117225095716,
      -1.63870704788954,
      -54.6227856201834,
      -23.6491497864033,
      0.9045510538563,
      -4.97997600633179,
      -2.70467128629844,
      -9.24084793455373,
      -10.920846300676,
      2.23851271293102,
      -19.0241989581527,
      17.0302763932981,
      -5.18788652092505,
      12.3935662645125,
      15.3593631168448,
      1.34414327442373,
      25.4118368841323,
      -30.9598838704205,
      10.9055590883634,
      1.19489994332145,
      1.96148436178742,
      8.54539432394358,
      -6.57038169581478,
      -17.8559806765153,
      2.22239179308413,
      -12.1927242137797,
      29.9037689546401,
      21.02259892899,
      12.895067404325,
      8.76742069720389,
      10.3987908685327,
      13.6873672559979,
      2.82642142131503,
      16.9602851642141,
      2.38273292115683,
      -21.1741645705318,
      -1.05552861204226,
      -65.4116794969214,
      -105.824677675538,
      36.876700985002,
      -42.8671459935593,
      35.2678941461891,
      6.20177322381248,
      -6.63553340572198,
      18.9501673514874,
      0.364133184290377,
      -2.68488734065599,
      1.82908413784041,
      -21.5831154879172,
      -20.0353835898801,
      7.412005787673,
      -12.5837040285105,
      -22.5948528760879,
      -10.9520451752118,
      -23.9579501296485,
      -3.54879624360502,
      -11.9850816082623,
      -31.3902524937315,
      -6.58967414746516,
      -11.0017845284935,
      -30.8495866762696,
      -7.68800285805556,
      -27.5569537826076,
      -15.1065975171491,
      -16.2127311399192,
      -38.2590695541132,
      -13.8343741539173,
      -31.8505962154585,
      -16.845012057085,
      -1.73101022654736,
      -5.14903638939507,
      -4.6434197829894,
      4.97550304123948,
      -2.24437177628581,
      14.7772997286682,
      -13.3886188618112,
      17.5169635287115,
      9.78021433480147,
      12.7649865178873,
      -8.71833066086757,
      -11.1365074900988,
      -6.10571486006407,
      5.33899117578942,
      -19.6481177519059,
      2.27412170715659,
      -12.7762322439596,
      -13.6807836765048,
      0.389674333249039,
      -10.6829793513214,
      -18.5979891996516,
      -4.99142487227268,
      -22.3309910536443,
      -10.2337739234533,
      -8.38969651504662,
      -16.3379423524605,
      -7.54228214998353,
      -6.97167448214145,
      -11.9794609895248,
      -6.2929857830021,
      -6.20095831166442,
      -25.0151024498457,
      -18.7520686450627,
      -26.3847733975361,
      -21.1570976525485,
      -16.4176792321932,
      -14.3705117432877,
      -6.43558172442545,
      -20.4342718352947,
      -33.405577326129,
      -26.7157016008951,
      -30.6222004218157,
      -8.45130776578148,
      -14.8478237090046,
      -27.743326070071,
      -17.7193374048212,
      18.1331869518107,
      -6.55069727402713,
      -5.60491510960036,
      4.31000148005088,
      20.765541630652,
      15.7318141781591,
      6.02126379158289,
      19.9591898166602,
      27.2828830913564,
      29.9674411948123,
      40.9452968440063,
      29.5752389951535,
      32.8720298868555,
      25.8451766573474,
      19.5120708273468,
      20.2599995005253,
      24.1074653669568,
      48.8815801090322,
      37.2087558192509,
      36.2070911991206,
      27.3185738902047,
      19.9285952417446,
      7.24135605490152,
      0.377761032254667,
      0.208731217942906,
      0.209162492015537,
      0.209162492015537,
      0.197032600651486,
      27.4750573372214,
      63.602642586748,
      57.2375954986625,
      48.1350771437934,
      78.940111822859,
      79.3847045538408,
      80.8385219973694,
      83.7801007158012,
      72.9791944857653,
      56.8369115401826,
      51.0048403417132,
      43.983507841081,
      39.3562506450886,
      95.437335352993,
      35.1885679018066,
      73.0136546456382,
      78.0456452288957,
      79.0362484651264,
      40.1782740770691,
      89.2472609213921,
      56.2156912697712,
      105.818928802451,
      105.036609864291,
      91.4783064391201,
      83.9363527934563,
      66.993586287331,
      51.2493082750595,
      90.5580586905403,
      78.6345335049534,
      44.7396435902863,
      69.9092789030135,
      56.8051956967627,
      43.6345723828006,
      46.2546625119985,
      45.4257816757117,
      39.0935402757989,
      54.5926309485173,
      93.2325822065741,
      93.9547890544374,
      62.0839271231163,
      70.444973821621,
      20.3952588559649,
      77.8959835655657,
      43.0666250321004,
      69.419790911172,
      55.8449779253421,
      47.4347693665287,
      52.0825777846704,
      58.1334057795086,
      67.2143498921929,
      56.6496446245426,
      57.9355905927463,
      63.6872081041513,
      58.2724148484245,
      78.1627206276071,
      95.1227005184523,
      72.1750520012863,
      78.2474626500424,
      112.388734237817,
      119.330478957282,
      92.5341120575345,
      103.072078484193,
      107.357768788512,
      68.7797706511266,
      78.9309069006002,
      76.6448541390394,
      98.4900814598234,
      100.409876757305,
      76.9952993108029,
      77.9591339335903,
      90.8196773920654,
      75.1365716369661,
      73.640789709725,
      111.624739694253,
      99.5802770745628,
      133.728060469299,
      84.1439249422061,
      64.1411359632092,
      81.6615732135294,
      87.1462973919551,
      64.5155464579953,
      79.7431666124722,
      70.2096493610042,
      81.6301739057323,
      105.741867205358,
      85.4486055545634,
      77.3651175047181,
      74.5379207494624,
      88.6832507228265,
      99.9332104015375,
      128.795631339737,
      115.730645927977,
      98.7916694662718,
      128.018212305676,
      119.934473116643,
      92.0661177051886,
      127.37044941909,
      101.858389082713,
      110.128025888412,
      84.4900208457528,
      61.576112251745,
      79.4920859167197,
      94.0087848602222,
      51.2132998930619,
      88.7801694939036,
      54.6732001469953,
      44.5561594819098,
      65.0871764015508,
      55.6079055740448,
      52.9031974807847,
      45.6030506145538,
      45.6206997061245,
      56.3382670391616,
      73.3575866140054,
      81.3673032511892,
      90.3904217820813,
      102.296475488824,
      82.1206067984487,
      71.0841456334068,
      114.019210374944,
      103.809159481546,
      108.893946997329,
      104.429950348126,
      75.3749301801595,
      78.7416947638449,
      84.8346002380452,
      42.8267590468004,
      92.3320906772944,
      60.1892411839488,
      71.23815468139,
      88.4387443298991,
      71.3912051616296,
      60.0326210739163,
      50.7128074631466,
      51.6980010451476,
      59.361930450882,
      86.609762214436,
      121.047781948735,
      107.359178447168,
      108.103173711006,
      97.3631542844688,
      69.5674788028969,
      90.5267528006544,
      81.2121966281543,
      70.8716939376473,
      70.3112835980598,
      56.5000850329815,
      47.6900913417395,
      69.0091025328905,
      46.9169431387889,
      51.1609485126717,
      53.2242470880849,
      47.7372588270227,
      43.8300313116589,
      56.5695306621841,
      37.9306585567295,
      50.1309779012886,
      54.5747097878215,
      47.1877770642732,
      71.0008809955212,
      60.1355398434221,
      55.8027115550645,
      47.996508046981,
      37.3909994199456,
      55.6982394018266,
      61.5403697802639,
      68.4808687310883,
      53.1868140571355,
      44.2581169778126,
      40.5433586969123,
      64.5053186497922,
      48.4735910032,
      37.405874117184,
      42.6776695629512,
      50.0899820911941,
      41.5515797690108,
      43.3364367309522,
      40.3959593835245,
      45.9102085954669,
      73.652409636903,
      101.034732854937,
      84.1050049395514,
      72.0323452743949,
      73.5038540349212,
      70.4035812152841,
      84.3444412821355,
      84.571685146066,
      75.1844047117344,
      71.8016287927596,
      85.8644913222144,
      80.1127446536651,
      68.3674760292094,
      41.3964095367582,
      63.8432189331713,
      69.7081120268893,
      59.504688064923,
      57.3858711121544,
      42.697973149203,
      41.0426260303432,
      37.7966492750914,
      46.2496052824233,
      47.9395438313882,
      61.443827065919,
      53.9745454466981,
      63.8697263275894,
      45.5593710007196,
      53.2089972275354,
      57.2794971614681,
      60.3185401100201,
      68.3742312705427,
      68.0130251268919,
      50.1879329200911,
      68.9198369812225,
      60.2135088693271,
      51.5066991218537,
      44.9561831786019,
      54.7705939982523,
      73.3618602357598,
      76.4490346376555,
      66.814815005202,
      44.3274046563671,
      54.2451771293999,
      51.7500708761888,
      39.1783108439356,
      46.9882663013052,
      58.089317547795,
      65.6818435040633,
      63.7279786782405,
      48.2270164884005,
      66.5237518190226,
      61.5662723875489,
      62.004913699906,
      74.0978411805423,
      75.8191858131733,
      76.6299326721285,
      83.148115139442,
      71.8532164794805,
      49.1391152125084,
      75.1514168876692,
      75.189371644943,
      57.9178187557201,
      92.5819590576682,
      105.365753021816,
      76.0518594335568,
      101.237649791202,
      102.221427843859,
      78.4495497704457,
      57.31390223756,
      79.7601293123597,
      96.7190734177228,
      92.8236938199036,
      89.5164664583496,
      81.0069419679956,
      97.2099539126965,
      88.9213715713944,
      85.0840280886071,
      86.995308794536,
      104.874882219229,
      74.7459948064546,
      87.0816071926329,
      67.0835093254077,
      81.9026490350804,
      99.0352285170847,
      76.223757825813,
      110.270687594547,
      121.938372439187,
      81.599802176644,
      79.7520856496963,
      99.4776649946375,
      89.1622066608568,
      74.4465205907313,
      77.458128917387,
      103.263731628248,
      82.1774512872325,
      85.7126480667608,
      93.6959807792727,
      78.3299414838599,
      93.8570670940423,
      80.4776826108506,
      61.8119010567556,
      78.3446148452303,
      87.4540315192695,
      72.6962479271364,
      82.2494031781601,
      69.9519303713168,
      79.2389383755937,
      90.4080192665516,
      87.6920807619369,
      96.81245068349,
      68.3351325970595,
      53.849647453775,
      75.6498066412151,
      62.6517935878043,
      53.8149673546767,
      38.4879702479124,
      47.2859215499026,
      53.8677573373739,
      91.3020840616082,
      81.5675299005749,
      100.901189558331,
      84.532793770354,
      83.4076434413947,
      88.5813808048593,
      94.9045331435483,
      91.6483076026831,
      93.1087558281836,
      88.6412418223775,
      77.695566114045,
      79.034718711043,
      72.6914005210617,
      72.2310998507782,
      91.4274747614589,
      62.0204998233841,
      55.2636606181314,
      76.3294723291616,
      61.177447118545,
      68.3835216510772,
      56.0699648123306,
      55.4217829295344,
      77.7533106041292,
      86.3085533890439,
      117.338012387707,
      102.884332620443,
      96.9435773666199,
      94.7006414204306,
      107.1317452268,
      88.1660199313668,
      119.95559535937,
      105.082960024027,
      94.9670139084681,
      93.220965954034,
      77.7740904305042,
      80.8831970987652,
      99.0847294836573,
      96.7654632655036,
      94.6310675443301,
      86.132579346297,
      88.5334841074522,
      71.8745336800714,
      71.0455106688511,
      96.0480350574474,
      133.732394895696,
      86.3947263164051,
      102.816451402786,
      74.3086034459679,
      111.005943209984,
      113.881919743371,
      105.783594062363,
      104.163631203276,
      90.3927979770319,
      81.7365837918702,
      107.700497487007,
      73.6347267228512,
      74.1112754282571,
      80.1477706323398,
      69.5110918776997,
      77.1576129107525,
      76.1435467627129,
      76.0809878552055,
      66.2051716891832,
      64.8388865490778,
      59.568947730694,
      74.0714887932675,
      83.4787335870586,
      61.2508314968396,
      72.2261171347752,
      82.1782310725076,
      71.9568111099837,
      81.1152070961678,
      105.191596640814,
      90.639612594848,
      97.8775656986171,
      119.860424335885,
      112.536716723992,
      106.663096556837,
      83.1356864176171,
      69.6815349819699,
      75.6804175380416,
      73.999252338481,
      82.3647865278667,
      79.7216231260417,
      61.7698593882258,
      58.3097555427461,
      72.4165455358659,
      63.1176127891892,
      73.4757138774842,
      53.0749962407581,
      51.4288357174654,
      74.5404128135671,
      73.2772942176178,
      75.6547569548925,
      75.9959664841843,
      67.4005196430366,
      75.0985514573484,
      87.0209485276043,
      64.875069725158,
      69.9726357899983,
      78.3591243260576,
      50.8682800470053,
      46.0415083532023,
      65.0779750928732,
      55.5019005670118,
      74.6467218516758,
      62.0981921044825,
      58.3397023531143,
      53.0646079614427,
      56.78054933234,
      60.1349355932311,
      61.0272471539251,
      77.8164975174386,
      53.9754096932642,
      52.5770362816746,
      38.8641667614796,
      42.8949773631298,
      54.4325614704632,
      69.4218684409989,
      58.9500744200719,
      60.4086891257919,
      72.3086287914265,
      78.149226153046,
      77.785051575424,
      75.233880948986,
      58.4104226177068,
      59.7881188793386,
      56.2717817587299,
      62.4123892324646,
      54.5665314641907,
      51.981410087603,
      42.2517043470323,
      37.8080019283724,
      37.5018065576523,
      38.3567843294119,
      42.2287404789792,
      30.3212647385729,
      38.7094325249152,
      43.8169076544851,
      43.950593742682,
      34.4477123415978,
      32.6184484226444,
      27.3103025592843,
      19.434217794589,
      7.01938537000639,
      0.377170829576792,
      0.208729011988058,
      0.209160281502813,
      0.209160281502813,
      0.197030518332296,
      19.4726754232892,
      22.909733674385,
      -13.7779548518498,
      6.47237554263021,
      36.857507111334,
      15.5457367249898,
      3.12465828129756,
      43.3219290046195,
      7.06204247945173,
      41.0099856898351,
      45.1689659913011,
      12.2863133765851,
      14.290826547362,
      26.8398021583195,
      -42.9266989862346,
      26.7473184641175,
      39.0051758183063,
      6.08582974655088,
      30.9639252432084,
      7.32062533202186,
      -30.9028119238856,
      -3.61578879642801,
      -16.4827809113535,
      1.97816082540567,
      12.7050405893429,
      -7.36699544296295,
      -9.35041139699129,
      36.0205263583303,
      2.81580671075898,
      -11.8361584057161,
      36.1915965160154,
      4.85858362115976,
      36.6964979749336,
      50.2994581597423,
      9.9815577497826,
      18.6167748672806,
      21.1393176371076,
      -10.8268597180423,
      16.1703079944028,
      45.3220782169303,
      15.3943166188579,
      43.2614528125728,
      39.2186212768441,
      -8.10616864540213,
      -3.61632244621381,
      30.6874106769672,
      27.612693175738,
      31.3061767513115,
      30.1631313399961,
      17.6208486523382,
      14.4154075426351,
      17.1535067226977,
      10.4605090864923,
      6.133603049688,
      5.51572668852462,
      9.32749158522424,
      -15.4288887516628,
      -40.3593373912105,
      -83.4492427610258,
      -52.4001414395077,
      15.2030968274033,
      6.47026748890874,
      -0.291538979343696,
      1.25303946880651,
      49.5724955407026,
      44.3246313804676,
      20.3672677918101,
      27.901170731671,
      44.3187975054166,
      19.5950147583678,
      41.1029746940947,
      33.334377531187,
      11.5383842122502,
      -7.08206065718349,
      -14.1714424561432,
      -5.15839881537455,
      16.267239906653,
      -13.1439230749153,
      -20.6071978284829,
      -17.8219338796005,
      -26.9788327889721,
      14.070080123315,
      37.8482690772872,
      20.6517961721985,
      14.1077414321909,
      35.9565446118358,
      20.4736632758284,
      24.1366762199885,
      32.2914037186775,
      27.7351751918714,
      24.1787374484585,
      32.3291168621708,
      20.6493547920785,
      1.49045089729258,
      21.6306357772573,
      39.9266434700398,
      -0.472960295521686,
      -2.510656387899,
      0.527623486955906,
      -13.2148847352976,
      -2.80362063549828,
      25.86466280205,
      16.3619655767837,
      3.55053470208936,
      37.1412820236204,
      15.0633127038705,
      21.6932917005323,
      13.1463688754366,
      18.3178602965297,
      27.6739172744435,
      13.8340651402467,
      19.0921291788294,
      22.1208496982946,
      32.7629953473419,
      25.1535081879441,
      19.5955058257616,
      31.3454871898473,
      24.8806146855618,
      16.0061395166514,
      29.7216984608509,
      12.7597599421934,
      9.05274413233698,
      -6.30478174234257,
      1.6157861073785,
      22.2817774482545,
      15.0274657835592,
      13.4744921197121,
      28.4017132864293,
      12.1786443949663,
      26.0618469939057,
      26.1693736021239,
      33.0546279736758,
      30.6179009939234,
      18.5549305622266,
      16.7874970366077,
      12.966962453959,
      -6.34992295711628,
      25.6686178416036,
      5.59681579483892,
      8.25254327671176,
      -0.582791330217458,
      2.55325811858583,
      15.0514130218949,
      1.92617485494913,
      -7.31203848080974,
      9.0281656355507,
      -1.1290946674112,
      30.0106522346716,
      24.676332033488,
      7.03347680552993,
      31.1668316564083,
      16.3642162114471,
      7.52108977489707,
      19.2415310961487,
      21.708809798047,
      3.92505963382417,
      25.5637786010413,
      18.046034077205,
      7.56338333093635,
      34.6013661122354,
      25.8137543432794,
      20.1485099893664,
      21.3528790044973,
      -3.07588042896826,
      10.9150149636236,
      10.7986467269447,
      3.33205743314452,
      12.7260089879765,
      17.035249710237,
      6.00455903214082,
      4.66763108659819,
      18.3295084131031,
      -1.69958863164614,
      19.8201887759536,
      16.733611714689,
      -2.36647073723798,
      12.1059667035182,
      8.64707535636607,
      14.96511937549,
      36.7007547528866,
      16.1017949184923,
      16.3696368354607,
      20.9186855325895,
      17.3881680814409,
      22.5779692971056,
      24.3131764228474,
      17.8087985665382,
      16.1227814227655,
      28.0970091447886,
      14.1796892452285,
      23.9267776255223,
      6.17898982378114,
      1.32275935692306,
      14.4927675747828,
      5.51267906741871,
      -4.39723663614449,
      15.1325083193558,
      1.1283529073308,
      6.02041797377109,
      8.39751065005174,
      10.7966843587682,
      10.3763355625109,
      29.6869115497869,
      0.17711971275077,
      11.7317012937275,
      24.018986771483,
      22.1311477230338,
      20.6334567273009,
      25.8659540368722,
      24.2041736652669,
      23.1528355128103,
      13.2469589131537,
      20.6818583265553,
      9.82819493765518,
      -5.20786964754208,
      12.3619494268379,
      14.7184380633053,
      11.3222278162377,
      0.773116003537964,
      16.5363030379449,
      10.5672760631579,
      11.1544263131747,
      12.0562425078888,
      17.4728084377646,
      11.1604685779383,
      25.1387523645636,
      7.16563140401348,
      19.5428830451475,
      23.6889106876641,
      17.3416637551752,
      20.5857274620709,
      20.6568013360699,
      19.1737648775329,
      21.9662203764207,
      21.6708506245465,
      13.4677552765397,
      2.83494747863424,
      5.0823936416859,
      10.9159588746274,
      6.22618134701711,
      -15.0356813891399,
      0.924347459790632,
      -16.8314297819655,
      22.0248414593895,
      36.825858254531,
      38.5893832590107,
      23.7110032931945,
      23.2744439161717,
      20.2001706688197,
      5.90699494639965,
      15.3046339876472,
      -1.73432976527343,
      -27.3783855535366,
      -12.2896354219331,
      27.666426636216,
      -11.1792802459013,
      -8.7037813200944,
      13.2155197037796,
      16.6385413065539,
      24.5148866423081,
      15.508733041903,
      8.84367781154541,
      0.0818641428730127,
      -4.01117674547183,
      -14.3786336206063,
      -5.96046703477325,
      24.5157988914955,
      26.3828025901785,
      38.5997212383636,
      32.1298418647899,
      42.1704822221883,
      0.110063733596844,
      -25.7289280336471,
      31.6603177528543,
      37.2475086984502,
      28.5274007214617,
      46.8376111873324,
      42.9563825170025,
      37.7672619453736,
      62.0944338116296,
      27.044100673358,
      15.2752421579188,
      16.8677126005709,
      1.71333983167278,
      26.8393621815859,
      11.8148243928082,
      -9.42225436172447,
      3.1435547810391,
      21.3875035095445,
      6.98313679735491,
      14.4115657090314,
      26.8871711508115,
      23.5763117560491,
      38.2601468076189,
      14.9378637891865,
      5.00355013191815,
      10.2068002535,
      29.3435332767584,
      -8.34157303965343,
      29.0151610738452,
      35.3151759671915,
      19.0726262750427,
      24.0963239285374,
      37.8156854390437,
      18.389062591041,
      10.2515761474536,
      0.900347830497109,
      9.50889495674698,
      12.4409866567683,
      6.02440799278371,
      4.8106066353297,
      20.3722013901428,
      10.7026016817759,
      26.7730050066943,
      23.5144985568125,
      28.7719602359376,
      30.6029956852604,
      11.3269439450464,
      -2.23414649193834,
      8.83289328778158,
      21.2625459417752,
      46.3328484892855,
      16.0836997912019,
      38.9059709663383,
      25.4637635475624,
      31.310955049447,
      15.7957098801165,
      37.245729350083,
      35.6158597454147,
      20.6327327846328,
      2.32496144021662,
      -3.9069125928066,
      27.3298368487533,
      33.8754256950797,
      19.0797692414085,
      28.0649061050267,
      10.7586844771264,
      18.5013459385759,
      9.2923664893596,
      -5.10836805477065,
      23.1247484666613,
      45.8616197752021,
      -3.26291599774549,
      36.0467452661636,
      18.7242097471227,
      30.0872665225094,
      38.4913490866204,
      15.7170546357233,
      14.0028397733221,
      12.335718992082,
      -6.20211404902984,
      7.89585884118885,
      -19.7600071562921,
      -12.6802952237656,
      0.741148103517957,
      2.12224504816823,
      -11.2714933613162,
      4.25753015111591,
      -6.22353060734743,
      4.82564148446748,
      2.92158224005519,
      4.00151500441511,
      9.29367398714936,
      -5.89875158271499,
      -33.0324106279986,
      -5.01210711031933,
      -17.2627790816198,
      -15.1307201416616,
      10.9905756440801,
      1.07618365991805,
      -2.88067777453815,
      7.28735832747803,
      2.9472653222097,
      -14.0360979527659,
      13.902011255489,
      -9.94883475864284,
      -6.74456160184401,
      8.60679873814594,
      10.9807935686234,
      -0.677039186344614,
      18.5280682633647,
      3.50897259323031,
      18.6943040554246,
      14.6450627021885,
      19.9126219272244,
      18.5255678397016,
      14.1513744636758,
      -10.274923971646,
      -2.70953356753508,
      4.32557339848685,
      -4.83464283657323,
      -7.10113396520139,
      -34.6158580819465,
      -0.242087686242658,
      2.88233340552683,
      -23.8976351027398,
      -1.65335138790474,
      -10.8337331173361,
      -35.2472841663955,
      0.921927664723552,
      11.8486595303593,
      -5.20655747418939,
      0.176706346507611,
      15.5165155378099,
      1.65118503038604,
      -1.18673613996644,
      5.66069135700821,
      10.4041184381588,
      1.1807526971438,
      0.896489168766033,
      -13.8255312182424,
      15.7682791985028,
      22.3196369711132,
      25.1110121883755,
      11.8278433062683,
      26.339151923393,
      26.3031695314934,
      9.60425998078865,
      28.3011809547909,
      24.580310638111,
      15.4813850399191,
      5.32074140141483,
      14.4361141312275,
      45.5689830640408,
      22.2963908598925,
      14.6587696193527,
      34.8918922869146,
      41.8183188777749,
      36.3481827033267,
      30.7577803777398,
      31.9698091508639,
      44.1341224108347,
      41.910491163441,
      15.777152950416,
      32.5016420709019,
      30.9118640388051,
      45.1485034451537,
      33.2060336009413,
      32.0523998450396,
      25.7059847523509,
      18.136800409783,
      6.79222904085057,
      0.376450420182994,
      0.208726315831574,
      0.209157579775612,
      0.209157579775612,
      0.19702797328547,
      -15.0682080286802,
      12.8078576843189,
      -30.6191916045041,
      6.93211746095109,
      38.5559261258166,
      21.7729563083729,
      -15.991154516838,
      49.3061561513119,
      18.3162726697041,
      30.9490502696037,
      53.1240186890153,
      36.0996443886733,
      34.9013584967249,
      -1.39234721937411,
      -17.340407126051,
      -10.8365182099321,
      38.3040998258646,
      44.1849353102585,
      50.1138862235963,
      15.497446429081,
      -18.4624698201325,
      -2.8231138059563,
      36.5631114761222,
      52.750779937389,
      26.7101831749263,
      -12.8706897544882,
      30.2321722600835,
      29.0840158628303,
      43.8803963554051,
      -3.94228670574819,
      50.0202615373616,
      14.0700590804799,
      16.6891458405728,
      46.8312059298008,
      32.887693455213,
      25.09205892848,
      33.9842775340558,
      20.854630529993,
      -2.05388243438705,
      60.0175924626193,
      28.8157821754297,
      -10.0599392217525,
      28.1337140723789,
      2.46425683050138,
      50.2181506153268,
      61.6033540591654,
      66.3532678307935,
      65.757411334731,
      72.4874550980695,
      73.3951578506861,
      72.5878164919291,
      74.0867162290389,
      69.8657148697709,
      59.8148014936706,
      63.9668665443118,
      64.9321321680925,
      50.1406609854271,
      38.9817142010316,
      47.4432712239515,
      31.5660637021499,
      69.5574038364582,
      38.0608758885409,
      59.7719296531409,
      53.7757320522738,
      79.3946670380704,
      69.8712376440974,
      59.9662386713468,
      50.4381050652412,
      61.2633606307701,
      33.8858373872265,
      62.7094982415948,
      60.821018637361,
      64.7221943186242,
      66.9660752195824,
      82.9930353580587,
      48.6209339786973,
      73.4433298489888,
      58.3670190449209,
      35.691272263097,
      5.47729617612679,
      16.867063087173,
      65.9377270673672,
      63.3681838426624,
      41.4131703716914,
      47.5199497455923,
      65.1015366181883,
      56.9516764831452,
      59.5665281585563,
      58.8348740180512,
      51.4224669572567,
      43.2997628446185,
      60.9767322405682,
      68.6833352878955,
      49.6376613195899,
      55.0937441095528,
      50.338245380923,
      50.4086924918881,
      31.9713631129463,
      40.1137990659895,
      48.5993607205709,
      36.6407109358472,
      46.1845535638155,
      41.5648162671798,
      54.6696501859118,
      52.8845057846786,
      68.7289498275906,
      15.5856279305735,
      78.0800103118542,
      63.3300947689782,
      59.9629428553313,
      64.969626453674,
      59.3284944733845,
      69.7505276901209,
      27.0878265505888,
      21.4877973912368,
      23.8704379237468,
      17.7335512682012,
      51.6372801874774,
      57.3163303843673,
      30.178623600387,
      21.6797870233672,
      16.908680623778,
      50.9634303384971,
      59.2964285925796,
      48.5216435518198,
      35.022400786482,
      54.0929941074048,
      47.2991603990249,
      38.9640278055857,
      5.82367769277588,
      39.5029185915032,
      35.4336345663326,
      39.5070599266574,
      57.7321894312432,
      53.7750681492014,
      25.3327156866568,
      28.06196778044,
      56.6973228226103,
      29.6218722996847,
      69.0405886192464,
      51.0830114288376,
      4.73710033102981,
      56.9677921613701,
      20.7014656253603,
      43.329287848887,
      61.5203031285706,
      62.6092433728606,
      59.962367729561,
      67.0939056787606,
      61.6993509542879,
      49.3485157401058,
      46.2126340403765,
      44.9969742573888,
      57.4461086626809,
      53.1123865512483,
      45.24698030483,
      66.8236321747923,
      56.0505821421182,
      45.4650001711312,
      69.6999502098364,
      60.9919663516721,
      63.8991733540514,
      43.5648520851408,
      42.116163132274,
      44.3606645169477,
      47.366997915278,
      48.2456213057365,
      49.3863619734029,
      54.394154533323,
      43.4605018306925,
      62.2494920739851,
      47.556148326382,
      34.1114395121173,
      46.2105208549205,
      50.3469244680778,
      28.1995596216687,
      45.5540652253164,
      44.1906976633615,
      41.4905058957001,
      81.791563915572,
      64.0705271504596,
      35.7370204714833,
      52.0565713427871,
      58.3157976570677,
      55.8218077121623,
      52.6955078604488,
      60.6405885369187,
      38.8998170971757,
      54.0839731786305,
      60.4312959433255,
      55.3313567045453,
      59.1913620327299,
      54.4564696879018,
      55.9574960075378,
      57.6616425392057,
      37.0456472539747,
      43.8239215993022,
      45.2959061370979,
      37.5464360579114,
      49.5866730473511,
      51.3711403434019,
      41.1352470781562,
      65.9673588965605,
      51.3170086126002,
      41.6708059318986,
      43.1000042662905,
      50.6449888975288,
      48.7669849871599,
      44.5751755424898,
      56.377089640022,
      45.6233692868066,
      51.0178191402307,
      45.0287541546559,
      47.0936690186061,
      48.394578576078,
      47.2920336260845,
      49.708827586444,
      61.2426751547764,
      48.2673225919433,
      45.6207263624513,
      48.2851737017631,
      39.3096540342477,
      38.7974778901638,
      52.9091000882605,
      45.7642164256198,
      59.998458316932,
      64.5946300267119,
      42.9965329245738,
      48.6576772706142,
      46.0203756204411,
      41.8612854833527,
      45.4172089301856,
      57.1005665645679,
      53.9481712772457,
      50.5787792476084,
      65.8017188642338,
      68.4747849321824,
      49.5745728822611,
      49.1937111268317,
      46.3023005903692,
      17.7886163889895,
      22.1680990018383,
      -16.7427373938953,
      13.515408880877,
      57.7219272595343,
      61.9958364417396,
      78.1198130230599,
      20.3295990647405,
      58.4729046786471,
      45.9905460146666,
      62.5637394497499,
      19.4261760083406,
      34.0015331020997,
      51.1269930837214,
      51.8075326914074,
      31.8950084011608,
      34.0054353900989,
      59.4498144590487,
      67.4746800257415,
      62.6467705433638,
      66.3528455282656,
      76.5302895153606,
      47.0719985125856,
      25.5324436582918,
      15.9952548539152,
      11.9555340533838,
      20.7527911924396,
      44.0340928677546,
      60.21508978175,
      61.2482915557821,
      75.534766798416,
      57.5034124631706,
      32.5280419524574,
      46.2772389971511,
      74.3544590155699,
      81.0613992776711,
      67.4602731973893,
      43.2481229562291,
      61.9983163250724,
      43.4935071324816,
      19.0372718796565,
      18.9948071583246,
      41.5070712507233,
      35.8708240238465,
      59.990180404472,
      68.9225870304711,
      38.8709632301578,
      47.0386794795639,
      45.3677694631794,
      49.0881884027553,
      48.1361648166269,
      66.1059427271652,
      63.6498861409085,
      61.0398410054222,
      59.6839679728016,
      49.926383645692,
      55.8619333788014,
      45.245142764694,
      5.74276347501461,
      21.2660597193077,
      28.3275971583056,
      40.4697430121912,
      49.0721914551966,
      36.7072562844257,
      13.658298937591,
      49.7212951895249,
      47.6000561426858,
      72.2490433638717,
      61.8541073609984,
      41.4431096728476,
      51.2423983144628,
      84.578532783799,
      39.171589703753,
      28.5452943813575,
      66.1044166819235,
      51.4785283276979,
      51.4812310585463,
      60.6407212037753,
      60.4441895276889,
      50.516246602068,
      35.6980842881686,
      42.4114021420113,
      23.1836038958513,
      64.3571931015609,
      59.7850624523487,
      56.4226511301864,
      64.985197141735,
      53.3187162857726,
      57.5582208638436,
      65.6720437735725,
      50.4735762919358,
      59.2887381791078,
      54.5035036396425,
      63.3360348526478,
      61.9530369530864,
      74.3422700166059,
      59.2170493371156,
      72.1915649847703,
      58.4531887592439,
      36.9641619104582,
      65.7536758399497,
      13.9470709191317,
      16.7090174507709,
      69.8160134157709,
      15.4994264722869,
      58.7669077913969,
      61.2527587218449,
      57.6897471304724,
      67.1087421683015,
      47.7720997446016,
      51.0611985742769,
      66.8460045538454,
      52.8614481562872,
      49.0549953606524,
      54.8395235221429,
      44.3270064615323,
      37.2738926003462,
      57.5890194878302,
      34.1262919086953,
      59.2141818799383,
      47.2793420863734,
      42.385185434372,
      59.3012038610535,
      54.6326743058851,
      54.4427735669301,
      34.0120469208521,
      41.9803658333101,
      33.5697398134379,
      45.4204869593528,
      54.0694622550646,
      80.2771694454694,
      55.4996651819996,
      46.1468359310888,
      50.8166846663343,
      54.9833049579283,
      59.9696483892527,
      46.7701826049651,
      71.3876494589238,
      51.7950113398281,
      62.7286132806921,
      65.7894912548336,
      74.757276720277,
      46.4928547697332,
      67.2431733698131,
      52.32397208944,
      71.4672216191194,
      68.1496373393631,
      48.4045564609549,
      55.6748891758233,
      48.3785443998975,
      48.5358692635847,
      59.284996624093,
      74.3421078046401,
      52.8775395533037,
      64.3533550829804,
      48.3585167959683,
      52.2968267317647,
      59.6707248984084,
      85.5182182023659,
      49.7349092939898,
      66.9600053616891,
      54.5774045602753,
      48.5943864723346,
      50.2985752174672,
      41.875955469162,
      11.1148712925571,
      16.6998875375824,
      45.9009368456136,
      59.555451530027,
      72.3031866449405,
      46.5915627180969,
      53.401246862913,
      56.3518943226975,
      55.4750277519705,
      53.4550089210788,
      52.1102224140551,
      53.4609231456869,
      44.0656633853564,
      58.5147320633465,
      69.080606182253,
      40.8828055191317,
      47.3211496502079,
      45.2755175956964,
      66.1023670551555,
      38.8807359112984,
      51.0038942099367,
      54.4010123781261,
      43.6943499320006,
      43.4266047787222,
      41.1702180826488,
      51.5768855776365,
      49.3059721927123,
      41.684394381569,
      25.3741232019444,
      14.457845682183,
      23.2194597256482,
      35.5491751906045,
      24.1920434655147,
      29.3517395672233,
      20.8538846108222,
      16.0488971735827,
      6.5633137594777,
      0.375600372541101,
      0.208723129479787,
      0.209154386840282,
      0.209154386840282,
      0.197024965516985,
      -8.69571456708123,
      -12.5281732581593,
      -49.9202915522781,
      -6.43653772682442,
      -8.1029860344362,
      -11.6492485623286,
      -22.5373473545237,
      6.5197759913644,
      -24.666374429602,
      -3.29359044639266,
      34.5028241907754,
      -0.908687725159775,
      6.86613691494977,
      -14.7600622651153,
      -34.6409624036636,
      -28.5323270600495,
      17.7316861884544,
      -18.0929531262821,
      25.69908688536,
      -20.6965195130241,
      -43.8762332976397,
      -32.5480635509261,
      -40.3654281241551,
      -13.7830857796214,
      6.60323254565565,
      -16.4458686292015,
      -17.0728546555778,
      -19.815075034485,
      -19.5181924568964,
      -7.80183867392532,
      -1.32136644203435,
      -29.0544376750582,
      -12.3221371992269,
      33.4811754398927,
      -5.53601361020329,
      -5.39464561525509,
      -1.34340119200014,
      -63.4161447220403,
      -21.0191499573761,
      32.6865565590228,
      -32.7291736898134,
      -32.9243687346249,
      -29.6758253505566,
      -47.7947468591657,
      -21.2227737261945,
      15.8240128296189,
      22.3492385206361,
      26.9575060371606,
      21.7007425385471,
      13.059037716502,
      9.95634111755231,
      12.9823927654524,
      2.95457822475645,
      -3.12858358336329,
      -24.2669880631263,
      -18.2509985368532,
      -40.1543940309508,
      -44.0983129642335,
      -21.3984200160723,
      10.6307521756352,
      -17.2725113321997,
      -10.0365417822829,
      -8.51252358407495,
      -6.1310003488424,
      37.5705681543285,
      18.5740302958614,
      -17.5041869042311,
      3.45370552374535,
      18.1969566917228,
      3.43603173916171,
      24.4878695949148,
      14.0355755537401,
      8.46930001840098,
      13.1468474034096,
      2.78851780319821,
      -13.9305071586556,
      8.30254428702596,
      -12.4244773636267,
      -17.5222701141103,
      -6.905580577493,
      -25.2286991001691,
      -13.4815803801722,
      -4.55419787976777,
      -9.20321980444148,
      1.29290792514958,
      14.7585524350234,
      10.2465701034801,
      23.3202179734269,
      11.555304869049,
      -6.2030165813168,
      -9.10774061352456,
      -3.61318279952476,
      7.59546220831881,
      -3.4871643314405,
      -25.6684368411896,
      -29.7660752341048,
      -28.6840730347789,
      -29.5297637956695,
      -25.8958813898822,
      -20.3696535360979,
      -28.1601098041311,
      -25.4719923419343,
      -33.5135032590719,
      -13.6169935837414,
      -14.280906365414,
      -24.3455682763997,
      -29.7125443583055,
      -18.2951345486934,
      -8.33078475157282,
      -5.99524389153413,
      7.3962750931511,
      -0.51843823324655,
      2.48106051080546,
      -23.6289172088745,
      -38.277641320819,
      -33.7950971888885,
      -21.9965677240108,
      -21.1040095784869,
      -15.316507845464,
      -39.1342327396527,
      -35.219736903403,
      -26.8618146498681,
      -43.0185373719692,
      -21.777746809936,
      -15.1229503027262,
      -21.8091956214069,
      -17.6302092141798,
      -17.3533526352068,
      -30.1183040870898,
      -38.9896333628141,
      -27.3960483826607,
      -27.2440743895492,
      -12.6790062471709,
      -0.663981369176186,
      -3.65096707573516,
      -41.8225801304048,
      -27.1181951033119,
      -26.0948664880905,
      -30.3353995087901,
      -25.065637905724,
      -15.4097323240171,
      -27.4184649235616,
      -13.472277187861,
      -10.930592167692,
      -26.4623292952477,
      -6.97105164511347,
      -0.251486125054338,
      1.05727808521129,
      -7.8614299760825,
      -8.02976851258124,
      -5.24136679289506,
      -9.797136168315,
      -17.3686205267211,
      -0.863570323326847,
      -6.87141405696429,
      -15.2652250201821,
      0.954456081441282,
      3.31654602990817,
      -16.9015095838683,
      7.56656014400747,
      -5.33282289579644,
      1.83324673583879,
      -4.73010346052089,
      -16.1477879748611,
      -15.4634656343518,
      -18.0425914217102,
      -15.7238816754826,
      -15.6479241570626,
      -10.4941325343775,
      -14.5712543644164,
      -16.0025263663336,
      -10.4013851924585,
      -14.3583044596844,
      -2.91724988643327,
      -7.62003007238605,
      -27.4885348889834,
      -14.8505440631063,
      -14.0883959783457,
      -7.29133247225376,
      18.9850763879356,
      -10.3303514945889,
      -8.80266601232337,
      -18.5058012638612,
      -19.4682361411792,
      -12.7112088922337,
      -22.2920981625142,
      -8.04804776125617,
      -20.3869021807254,
      -10.4788562029751,
      -15.7090178837397,
      -8.27381849500469,
      -11.8781182427322,
      -18.3979242327784,
      -17.5681420639606,
      -14.897366348603,
      -13.0929436273485,
      -8.5565225463288,
      -14.4179182517354,
      -15.6626580354517,
      -16.0514782360012,
      -15.9248261031993,
      -11.7803059466247,
      3.35294178372964,
      -8.8382831566265,
      -15.5176656778243,
      -12.9888169026564,
      -18.1203289863032,
      -7.00558177791932,
      -7.73835589896743,
      -8.30935810689835,
      -8.54879012133522,
      -16.3739970675447,
      -15.1892200514961,
      -15.7552990025086,
      -27.4783727700666,
      -16.7689875168254,
      -7.54163613671967,
      -13.7208109097655,
      -18.3111483218219,
      -18.8023980027961,
      -15.6421955775931,
      -13.0826532684468,
      -22.6120842167468,
      -12.2763435358644,
      -10.0496680119945,
      -3.67101711762422,
      0.297075573382991,
      -11.600112902091,
      -10.9042757121079,
      -18.0072734969341,
      -0.964683956096921,
      -4.80998965952841,
      -2.09902097340924,
      -2.21329229948882,
      5.06893804990618,
      1.40712023465667,
      -6.24123242720201,
      -20.886098801865,
      -35.277701467957,
      -35.9852386035664,
      -41.8254388653627,
      -36.881839895603,
      -17.1453264819757,
      -19.7772665055131,
      -16.0893084965736,
      -11.3580590432379,
      4.51922281533387,
      -19.453046014535,
      -13.7646927604307,
      -21.2251429897098,
      -22.7078505883377,
      -3.47402877724015,
      1.10397417303996,
      -19.0292516513903,
      -19.9630403028495,
      -33.6492828049897,
      -23.277998090359,
      -12.0110131596369,
      -25.442547840359,
      -2.14022368473305,
      -14.3031977888357,
      -9.23049630556696,
      -26.5805907843227,
      -20.2431247107001,
      -5.17423034250755,
      -24.029741476315,
      -25.3550522104903,
      -11.8672618660434,
      -18.4786333980104,
      -21.9553619198046,
      -1.5837283478053,
      -23.8656156684844,
      -28.1243310956603,
      -16.5459726488994,
      -15.6189851131369,
      0.252532492996973,
      -25.0363063911486,
      -27.6476788144451,
      -7.75341281563163,
      -27.8290757116218,
      -25.9860225288845,
      -12.8896768164925,
      -12.7555399723973,
      -21.0417192108103,
      -29.8580890967366,
      -19.5003851767435,
      -22.5679441860633,
      -23.1696026385103,
      -24.4299538742182,
      -25.6975677619198,
      -10.3091177481095,
      -9.5484935452208,
      -8.92513406361548,
      -6.82653674605018,
      -6.28058677980736,
      -9.33434813920731,
      -6.70892903491671,
      -15.9133908212768,
      -7.39838140044364,
      -30.3540969381332,
      -11.5539219840144,
      -16.8618977763503,
      -11.6545668358403,
      -24.814623816151,
      -27.2537382613774,
      -16.7459623261544,
      -29.4912620073427,
      -7.01233907960841,
      -18.6248837614746,
      -32.4348839552685,
      -12.793364301896,
      -6.13696610928985,
      -29.4826065891314,
      -37.6407262103909,
      -15.1752591623027,
      -25.7103045784371,
      -22.4312903745532,
      -9.62671786029639,
      -14.1871546064548,
      -15.0526132666269,
      6.0453760769932,
      -3.40071901419114,
      4.16766011937675,
      34.3379296857195,
      16.6901798263543,
      21.1648463560076,
      10.5559456944489,
      5.35982104536,
      -10.8361356556823,
      -2.74654595723867,
      -15.9013358085056,
      -4.6006777425934,
      0.787478812578582,
      5.93379709579919,
      1.9062688976058,
      8.11586970424639,
      -6.33234971699126,
      -2.60557568362833,
      -22.4251767857117,
      -38.4713169316503,
      -1.64448203674796,
      -24.4280222124205,
      -48.733722746349,
      -16.0324913269477,
      -29.3411553855271,
      -24.9878835028706,
      -6.15818359561838,
      -25.6808843631355,
      -17.6056602935806,
      -32.6574376157039,
      -29.6684147333395,
      -17.0173684805712,
      -17.4446547845306,
      -4.53203686563296,
      -17.5236553255013,
      -4.26412560331973,
      -31.043898033253,
      -15.9594335340444,
      -23.5807694756969,
      -22.7607304659302,
      -29.4147606942553,
      -21.4440889133015,
      -25.3680827296456,
      -33.7829910089138,
      -16.6309729033055,
      -22.1999547967609,
      -15.5361365748012,
      -0.59409019398511,
      -7.43515813286726,
      4.75907014860459,
      5.06673312704482,
      -30.0587018621784,
      -19.4603288013946,
      -14.6364311707033,
      -36.166724870843,
      -14.9580852785921,
      -12.9720331666222,
      -17.7317952295814,
      -16.5080021554773,
      -7.47686551017733,
      -10.0390070331128,
      -31.9263972019318,
      -29.5270542403221,
      -14.4568293333359,
      -10.5910457461447,
      -12.7888374698128,
      -5.90481655863655,
      -10.9241091429644,
      -18.7825589124083,
      -17.4807132948194,
      -18.2746131037088,
      -28.2901152325498,
      -17.1755052885583,
      -9.42048019146201,
      -0.746136808379554,
      -0.857708216483407,
      -13.5420029189308,
      -8.1072781899464,
      -31.7510939387586,
      -6.92550862332011,
      -13.3381234571745,
      -21.2591125496065,
      -21.9993716158837,
      -20.9536928331171,
      -32.4000701163308,
      -37.3051376494143,
      -39.3546226241476,
      -23.7220655389779,
      -23.3972821648994,
      -7.63655718731992,
      -18.480705917484,
      -7.77222194033338,
      4.50330966697771,
      9.34705576133129,
      5.52816996982674,
      1.32409239883366,
      2.49259160874968,
      -9.62078747472593,
      2.47214299992919,
      -2.9910084332145,
      -29.1121115151103,
      -17.4202958257648,
      -12.5590489549075,
      8.37191694310024,
      -13.3921461132681,
      -2.32212966512306,
      -5.96902670583898,
      -0.916661982576614,
      3.86799303439009,
      10.1966191995127,
      14.0031997999702,
      23.07120252764,
      13.6324045640848,
      -2.02015923212323,
      -2.51998508566232,
      0.0892332621827469,
      21.4511447785979,
      13.7931532921983,
      24.2467714280877,
      15.7888109799161,
      14.4379927278949,
      6.34222162137275,
      0.374621357393513,
      0.20871945294018,
      0.209150702704321,
      0.209150702704321,
      0.197021495033904,
      11.8565975659397,
      29.7108455856036,
      9.01530286306082,
      21.0908263085645,
      10.0220602338906,
      39.3398635251749,
      13.7094018601478,
      -11.4444624084329,
      -9.62418916111561,
      -12.7404875376197,
      29.9924516069398,
      31.9234164883331,
      11.864587603071,
      16.5889171943293,
      -4.88397165883736,
      -24.08798546571,
      21.644029828443,
      36.8574042474271,
      35.1128903165697,
      2.13355664810917,
      8.2312435496791,
      7.41393042970008,
      13.5986675821928,
      35.1224488555245,
      35.6648602533261,
      0.0284204708359204,
      22.5323765619665,
      -0.0102358369784688,
      8.3427369525581,
      -6.31606148224146,
      -0.243008982817203,
      1.46965125786297,
      -26.9237707249879,
      26.0095265658339,
      36.5967241927199,
      19.1124808419889,
      15.7342878438099,
      -25.5030850410353,
      11.4574344752196,
      36.7950898256901,
      31.8924996582199,
      -12.1604574312085,
      14.9670129345961,
      17.5433750443791,
      44.7288264304549,
      43.6573105364963,
      46.7700520571431,
      55.440080885053,
      55.6251370709034,
      59.6484422975394,
      55.2834962917072,
      62.041559666685,
      63.0853331993086,
      54.6754977468408,
      46.0042599172753,
      34.1843802779124,
      33.0510678788176,
      31.7807275516799,
      60.2017082883662,
      17.5847779279482,
      28.4352932657052,
      25.0940766681225,
      57.2927663643568,
      48.6973225936526,
      50.9286423635124,
      46.1903737752756,
      15.197265485386,
      3.50940691389861,
      37.9506706118944,
      32.2256308885487,
      43.5341848413516,
      38.0201250153962,
      41.8256555412922,
      63.7675813433394,
      61.052655047982,
      73.7052638007746,
      44.0433529879581,
      39.5132637928266,
      41.0339085413373,
      31.0275793636145,
      26.8686901584625,
      19.4295908971316,
      21.8309072029742,
      25.250247933196,
      26.597022051168,
      46.7758439011755,
      50.0829531004068,
      44.833752229095,
      57.0899793589704,
      50.7302175907878,
      62.4934696470599,
      22.2298838452278,
      60.7092349541266,
      40.3404119575477,
      16.5688904495146,
      30.9270260288334,
      29.7527646905169,
      32.7656291807654,
      38.4854253532787,
      37.7493913016146,
      40.3748960771178,
      49.4316666484233,
      34.6791418524242,
      49.2971812673913,
      28.0754645194502,
      32.8530702481508,
      37.8648111204744,
      16.7537468374088,
      9.48263800696488,
      14.3278568419496,
      42.9854570594047,
      39.3331805769719,
      33.7922785380029,
      23.3367127842431,
      -10.6931840891378,
      9.42539331823865,
      46.1636462099239,
      49.2466932403034,
      39.7377999717342,
      6.88696602667438,
      -2.22596346730578,
      10.9210070833594,
      35.9605214700384,
      61.1200179951752,
      44.1502440705971,
      38.35876056799,
      38.4336083494979,
      10.9229232274146,
      25.8646051427466,
      33.4785398179214,
      15.7678211719117,
      16.4388197654847,
      17.8973054515084,
      48.0054654642028,
      35.4968667906008,
      13.4789952878643,
      24.3628974923438,
      -0.165728419402708,
      21.1656606301818,
      43.153606726834,
      60.3050294493583,
      49.9921330749521,
      62.1056908049329,
      27.6778249690065,
      43.5812329919385,
      48.9592131854612,
      56.9261576332052,
      44.7070241290519,
      50.9978981434025,
      45.3961271040784,
      54.8013623501518,
      45.8453859306159,
      43.8449895498433,
      46.4532728446398,
      57.9969029074131,
      40.1425389764656,
      51.6102510320688,
      53.3079847692103,
      45.7712974292215,
      54.5764924192276,
      49.7659837426922,
      55.5599239816563,
      42.0270083110926,
      45.9236039692517,
      43.2319089719158,
      41.4791391227678,
      48.2855370675297,
      44.3574747745171,
      40.9552682013706,
      45.9916714628893,
      50.3213898100691,
      40.7687231534494,
      33.1628384841037,
      43.9090085453106,
      49.5573182879851,
      32.1292390677692,
      43.5079340356711,
      39.8988996904312,
      36.544739677831,
      53.4472034226173,
      60.4749632245302,
      58.9458980530848,
      49.2650341321536,
      56.4133800137398,
      49.1850712766883,
      48.8261428571417,
      63.4229127698833,
      44.6565379008828,
      37.5486193239342,
      61.4106953743841,
      54.4024206722106,
      48.9028587657446,
      51.1668405714519,
      52.8673009958278,
      44.4329415164119,
      41.2275723914196,
      37.3184240337041,
      32.9368774383673,
      29.3618672706281,
      37.5907824211733,
      36.3805361945915,
      29.5390872422473,
      34.0659359962951,
      41.8050616785236,
      43.3185624144849,
      35.343602396489,
      45.7730722864333,
      34.5909575658174,
      33.4105108588848,
      46.9215947804529,
      44.6506866001601,
      49.9832930440793,
      54.5293966708416,
      45.0180328388011,
      44.0892200724687,
      38.03768908042,
      42.8865714011941,
      38.9479157930492,
      45.6763831527161,
      46.2756630838797,
      36.7380405845012,
      36.7047047916011,
      36.8461971043081,
      37.9030596956121,
      34.934277671649,
      41.2955774166422,
      49.9716940458789,
      34.5514410623701,
      33.2939777662908,
      46.3644366429897,
      36.0678143281394,
      31.915091250447,
      35.3167768263947,
      27.1971316287334,
      31.4449572428662,
      25.9787767222125,
      45.4068135477552,
      33.7406503509076,
      18.5941798957066,
      26.4801926613722,
      10.5178922741184,
      10.8046371991237,
      9.92465009659998,
      37.8835019011792,
      5.45525313052781,
      69.4298896085978,
      79.1085753296692,
      39.6504369886495,
      5.40827914312216,
      54.8237965785519,
      59.0848994499739,
      85.1032312970247,
      79.404025019858,
      84.3628932364265,
      57.8250853775191,
      33.3396494002877,
      49.7498102223374,
      39.0973390418187,
      50.1174712462928,
      53.759633775434,
      45.3106286406868,
      46.1832357471799,
      31.4435445832901,
      15.7218260862441,
      18.980911185879,
      11.9426506813822,
      29.5875824173982,
      25.9445325107487,
      51.1941132530507,
      23.761081444069,
      40.1811753398399,
      41.0478890620982,
      52.1236980614366,
      58.7647245759912,
      27.3543679799733,
      44.8466065132276,
      28.5408032542448,
      31.3102708460417,
      49.7490175501791,
      24.3365597489435,
      33.8357009405642,
      20.6585915447879,
      27.7618616776347,
      33.916018125031,
      29.4025036167445,
      57.1301733562918,
      29.1301924849055,
      30.0309536558241,
      14.640586769258,
      20.6308648929707,
      18.1038921945154,
      1.75905899593925,
      3.58723979676035,
      24.0498994685208,
      43.5083077801999,
      37.6983731734855,
      37.5279869016778,
      1.05975141789006,
      20.8085630329852,
      13.8602068825055,
      22.0554044055872,
      29.0715520492776,
      24.1761776932155,
      17.937271566053,
      19.5112923042331,
      23.3756078459831,
      37.5237954143865,
      39.635769501663,
      48.0268443470564,
      33.9581183202692,
      30.5649999232659,
      3.78638985868818,
      19.6408717999519,
      26.2857842750839,
      -0.383012055854064,
      16.7492865279597,
      38.8827322144749,
      44.0416657858397,
      49.3456301721531,
      48.4588269754244,
      28.6060150954222,
      -5.01325702259072,
      25.4350227428429,
      15.71277881342,
      26.4974442002392,
      19.7333132733889,
      14.8106973380272,
      10.8399650336126,
      25.9631277820885,
      61.6589409566012,
      38.9842328013254,
      40.3815940139807,
      37.55239054995,
      39.4206734813152,
      46.8817751204745,
      47.2249282599443,
      38.0717603621836,
      52.6075595302027,
      35.1600820783106,
      19.8423753625061,
      32.3525627932073,
      22.5644541916641,
      57.4263229778158,
      50.7029388232865,
      33.4562498192598,
      34.9442947434681,
      48.2008823814535,
      49.9727357949517,
      51.307047659714,
      33.031878210659,
      37.968958134775,
      40.2802969900555,
      39.4497026452288,
      40.6155555595326,
      56.5266123508909,
      47.6338279732292,
      39.4912072277326,
      59.8013181864843,
      41.0640619829861,
      40.0810776541554,
      44.6531994005954,
      48.5911019025581,
      24.6681308134428,
      29.7811718432808,
      37.1507941732609,
      37.7313064627137,
      50.011202703078,
      51.113564175198,
      52.4725872006854,
      58.5302399886044,
      39.341538561639,
      -0.597900306692222,
      25.5851752717007,
      43.0344480067755,
      14.4674593406259,
      56.1446419954197,
      45.9820675750065,
      36.6294130866609,
      39.0646576270971,
      53.5350448982158,
      31.8741781432279,
      24.0517392311739,
      25.4345482647545,
      34.2564919343174,
      28.8382747477093,
      34.9528478560822,
      46.7454721740956,
      47.030748825567,
      49.564295544416,
      31.4798374437086,
      21.8397605152377,
      31.0881584697833,
      24.4726265055829,
      35.625733553301,
      35.2125815318512,
      24.8275212124624,
      22.6166969266762,
      17.1033903440728,
      39.5392267298345,
      41.9189260991538,
      51.6115337184761,
      44.7143082462649,
      42.0891750081915,
      49.2782171965713,
      32.4825684275269,
      12.0941510877025,
      26.6732938311247,
      29.9081266879172,
      39.146934808531,
      61.0137197465865,
      44.156645695351,
      56.9955017896562,
      54.5763017728796,
      55.9159230579694,
      44.2839204516959,
      46.8758040420226,
      36.9537641018389,
      51.5710102024888,
      44.8892771091034,
      35.8596448433351,
      19.4529750880429,
      27.4516862058048,
      29.7512958561925,
      30.4712736167318,
      32.548717074997,
      40.4135888674725,
      8.49024603026446,
      12.7919065633568,
      22.9997363489603,
      18.3956559276635,
      25.5320957341808,
      25.0682664292778,
      29.7236268347127,
      20.580805353075,
      20.7130066753607,
      13.516956815685,
      19.4741666716215,
      15.7531401655477,
      18.4863726709351,
      14.3579383833377,
      13.8914736091274,
      6.12526324051468,
      0.373514147217144,
      0.208715286221387,
      0.209146527376381,
      0.209146527376381,
      0.197017561844379,
      16.1370659947569,
      21.3022037360728,
      16.5988283223811,
      22.6338822797884,
      -0.60090421772383,
      10.1572394240486,
      15.3421597852218,
      -7.21142445615053,
      -34.0922522649591,
      4.48082987773356,
      36.2721099293363,
      4.21460424234325,
      -2.08881626380948,
      34.2545463997806,
      -1.12622687489023,
      -12.4158527237187,
      23.4061319450026,
      -3.84686112896622,
      16.281911479975,
      18.7273418092157,
      -29.2586693638345,
      -23.5057137483621,
      -17.2163953798878,
      -0.0353051789941207,
      20.2789723171867,
      18.9838314936997,
      -5.79317681585614,
      4.53277923974973,
      -10.821574185743,
      -7.52788919434522,
      -4.35889842149138,
      -22.0403037277852,
      11.2250537502762,
      28.2893816966378,
      1.59721420904599,
      -4.35081966230121,
      20.1761894661277,
      -10.7507689307372,
      11.1379968157063,
      37.5471812727416,
      3.77987555099178,
      -5.39607983386458,
      0.341308063294274,
      -31.6918638277462,
      -18.8378509665433,
      3.79204037768855,
      1.17032477976837,
      5.05155059950241,
      -2.8525789676589,
      -0.746472938834773,
      -4.05588281119449,
      -5.23243427687707,
      -8.74554171644183,
      -3.37461201097046,
      -12.0315846200401,
      7.65072246439237,
      -23.7789715241803,
      -7.04633346844363,
      -30.2650652317332,
      -5.68040922573411,
      -12.7395014266641,
      8.65043546797807,
      -2.9147112973165,
      -16.8422899449543,
      9.99606310730663,
      18.3762271152965,
      -4.11674498523434,
      -34.3356769990094,
      -3.32483880310316,
      -10.2007757416979,
      -7.31385523980132,
      4.88270154519363,
      -6.5519407402072,
      -18.4211035370766,
      9.6864049182671,
      2.08941152701696,
      -5.90799076802905,
      -12.5580860469453,
      -14.2517189085459,
      -24.262065281074,
      -33.7721685847951,
      -32.3596515850397,
      -11.8966118678678,
      -17.0553323466641,
      -21.246312181232,
      14.1631236169506,
      17.8425910163246,
      -2.00527851475726,
      2.59966095704589,
      23.0168004149308,
      -0.983775840094407,
      -4.99814631693562,
      21.480026429214,
      -5.97115981716372,
      -13.8309577521889,
      -2.42154506425316,
      7.8752940176754,
      -6.76308280207349,
      -20.8078239152462,
      -27.3759868912845,
      -18.2630155135378,
      6.74750621410417,
      -0.145992232219838,
      3.000003420242,
      8.56796299340921,
      -7.64504716025522,
      9.1467638750355,
      -13.480707930615,
      -21.3608706984074,
      -1.44743157087717,
      22.451660801761,
      5.48081203796102,
      10.087448175754,
      14.3484813831038,
      0.904410963162194,
      1.00949458205633,
      16.786238687073,
      9.25391674641023,
      6.23066719642568,
      15.0889590578926,
      -16.2927009766933,
      13.6751168269553,
      4.26075119325498,
      3.80014210797944,
      24.8335595213672,
      12.4609197220686,
      -0.472449463391562,
      6.3846888296122,
      -5.21259192117482,
      30.1997711197283,
      7.97917750435147,
      -3.12730016180782,
      9.9808429034969,
      24.1810436794125,
      1.51705366858152,
      2.13343918248896,
      6.14826169804537,
      2.17118978775772,
      3.85170258273256,
      -24.6051349582401,
      5.56068172228774,
      1.46601073825619,
      -7.83479150089617,
      -4.99009357782422,
      -19.9777771585923,
      -15.8939688792047,
      -6.64026396934749,
      6.03551938685606,
      -8.10896801496491,
      -5.58731126806399,
      27.389612994,
      9.18508082633524,
      -1.9592180697415,
      11.0888308082269,
      15.0612813653853,
      10.538937432374,
      13.3248916290684,
      19.0616546111287,
      -0.0317629170330153,
      10.2040856847625,
      19.0391880231725,
      5.43285111257926,
      13.0595004320279,
      -2.43335365072005,
      0.193576445881968,
      7.18836529914079,
      -7.30830033784078,
      1.63861012320386,
      -5.39492237850972,
      5.21906012635331,
      -12.7337563104006,
      7.55376321523718,
      -4.86873244071304,
      12.7688695201135,
      8.84005805364574,
      1.3707538803608,
      12.2915894591019,
      12.1892199905722,
      9.70639395041273,
      14.3762149764925,
      11.1466363066667,
      -11.0251750902318,
      -2.48340707339443,
      -6.02201016518986,
      -2.3434503110375,
      -0.679560505085549,
      -8.03698381719061,
      -3.62131363151327,
      -4.1343923883399,
      -11.2321874164773,
      -8.74161640297838,
      -7.31875597042582,
      -4.71622606405959,
      -2.09458440883945,
      -7.94086955687867,
      -3.77977406884619,
      -4.9014001371726,
      -4.99106891001056,
      -0.10321263585355,
      -2.89174682640956,
      6.91034739665738,
      -6.95978496084365,
      10.499491425304,
      1.75559565109089,
      -7.90749666343232,
      -1.50234151823953,
      -0.666251166245993,
      0.451362915884339,
      -2.51343665546329,
      -3.59022860457329,
      -0.00931416192112594,
      -0.0562243118173521,
      2.86479046992581,
      1.14991115412378,
      -10.1439010630274,
      -3.05981810552712,
      1.02395125862018,
      -3.99968777752754,
      -7.6679880452222,
      4.37376403076233,
      1.53341522533214,
      -1.28992643256095,
      3.7954349085665,
      5.82270371481242,
      -5.66693735933573,
      7.49873520605282,
      0.152604469276077,
      -6.42652638589937,
      7.33361825261755,
      -2.46626592470137,
      -1.6124382731423,
      1.58736196901704,
      -1.02513795201103,
      2.29844147541239,
      0.180236182731409,
      7.52556194218065,
      -14.9950964776247,
      -11.5484558057951,
      4.47718073333419,
      -7.29761318935255,
      -7.08864729137432,
      8.49439102597719,
      11.7387187749392,
      5.09775401222825,
      -5.00992090107685,
      35.2146701759354,
      -2.25334725585379,
      -12.9570812157067,
      -14.7989842447569,
      -4.83739437992061,
      -6.60299272438005,
      -26.0029463461181,
      -46.190064154261,
      -1.58037145862693,
      31.3391785411604,
      2.31398371441419,
      -7.92330516573515,
      -4.59465761751884,
      -4.13540085245296,
      -6.99581866807595,
      -17.9932939456274,
      -11.1991677864821,
      -20.0497015472534,
      -37.9425002078657,
      -6.98959060631639,
      -5.49710145372517,
      -12.7533602499633,
      -4.53697573734684,
      22.1969701825421,
      -5.5891510832208,
      0.372166781097801,
      22.3421380479916,
      20.0654212918074,
      5.60957958362664,
      -11.3243765255383,
      11.7455276626656,
      6.26479644102528,
      -6.2450397307904,
      10.1088096112854,
      -14.4718088851511,
      -11.9527994523008,
      -2.07448357152855,
      -13.1563267953329,
      -14.6167710340813,
      -23.7650250442788,
      -0.158319142672625,
      7.57848255429003,
      4.17211317865196,
      -13.8520905552763,
      -12.9968663194432,
      2.70673422712743,
      -16.4281313246066,
      -26.4255203786044,
      -7.75462315128706,
      11.664733269205,
      -0.597205580653981,
      -4.39994517033881,
      -7.85968145942874,
      2.84104861573533,
      -13.696071104935,
      4.17744830169394,
      0.126043335162781,
      3.6123284999824,
      -2.26202933990213,
      -26.1580206318147,
      -11.2098098441305,
      2.0267503461113,
      -3.39164102441508,
      -3.88899412395312,
      -3.48033418386976,
      -11.3700078841303,
      -25.2666460438186,
      -0.233199151422119,
      -0.468750196041403,
      -17.4844513479461,
      -10.0937509543556,
      -3.29973620229133,
      3.77154823513951,
      2.6741831443429,
      -16.908066727657,
      7.76786383220971,
      -8.98634462125203,
      -3.65444741805872,
      16.2774572825998,
      -5.32303092326582,
      -4.49089700900677,
      -8.07112931728484,
      -21.0589010272714,
      -28.28269587571,
      -2.26808951065271,
      -22.7411501519816,
      -23.3575999855401,
      -13.7732280272768,
      -20.0179434250779,
      -12.2958280422389,
      -6.21413342580897,
      -19.773991553351,
      -21.2881870458934,
      -26.4670526064151,
      -14.2217478966416,
      -11.2156397511357,
      8.23005694725448,
      -4.85500052546191,
      -7.10919278959003,
      1.55832039721433,
      -32.6687117518206,
      -4.57934396968104,
      -13.8489428530108,
      -16.9705793460468,
      -19.7506971314676,
      -38.8773909816618,
      -28.4723404557153,
      -16.4815585054094,
      -18.9566139022731,
      -23.8017725626597,
      -15.6330246699599,
      -11.8447117685905,
      -9.30684165682833,
      -20.1836569660857,
      4.47035163774394,
      7.68830883490173,
      5.6452722513961,
      -9.27112550800211,
      3.8277722762085,
      -1.73968593824364,
      5.1223759574268,
      7.99369160334187,
      -14.8557398779564,
      -13.9411756447293,
      10.875012625676,
      5.75333548152237,
      -28.7536302417778,
      -7.28388475114529,
      -26.5176581518357,
      -41.8268117822377,
      -24.422099481623,
      -3.11975648665072,
      -10.0089645770372,
      -9.39309874838222,
      -3.22484336566949,
      -22.6618476106092,
      -16.9713017912253,
      1.02779744351422,
      -19.766444804921,
      -16.9473217881053,
      -16.0487742500581,
      -3.2442368304906,
      -6.86936048396339,
      -20.5950922305451,
      -22.5086288383418,
      -29.7205169760409,
      -38.9607448651397,
      -19.8181736386211,
      -23.8352001887208,
      -22.3009667934921,
      -21.9330578329545,
      -31.1924773080828,
      -33.1748571464605,
      -15.6659815073003,
      -12.7170718913294,
      -9.2052683151712,
      -9.23418284707487,
      -2.3714352057355,
      6.09761047703568,
      5.97840481786345,
      -29.6699898614574,
      0.998835564154192,
      -0.66052326190604,
      -12.7092646962999,
      6.98226250566077,
      -10.6894121811761,
      0.00837665118698386,
      4.0958719247849,
      7.26777248802034,
      -3.7074796191466,
      -11.7436047437605,
      -12.5238689703069,
      0.147395185798322,
      0.824754396283378,
      -12.3431479918286,
      -4.39075597194117,
      -3.62237217134963,
      2.72757457980763,
      7.51087839539404,
      -5.08826233073339,
      -1.48256347052535,
      -13.6534755616939,
      -5.18317665110818,
      6.53556836906317,
      6.39643368389427,
      11.4295783215153,
      10.0049436584583,
      12.845714560633,
      7.1054518908041,
      15.9182729617025,
      9.92067583058786,
      10.556090583387,
      12.9075111665461,
      11.2439283330764,
      13.5586925827751,
      13.2295680274714,
      5.89559033730967,
      0.372279615601471,
      0.208710629333193,
      0.209141860866268,
      0.209141860866268,
      0.197013165957647,
      12.7257451864815,
      27.8288630962577,
      41.2871887333163,
      6.72929133690971,
      6.85478047322835,
      23.8202415782114,
      17.2007700156668,
      4.56995668537517,
      4.71965635510095,
      20.9776188551455,
      46.2388241122989,
      29.7694001274214,
      5.87359924695233,
      22.9710267644095,
      -3.97590377367433,
      -12.2209704740305,
      18.0740471207659,
      14.554887930887,
      12.5754029295093,
      8.43312839965961,
      -7.16421753861102,
      -33.9700874347834,
      11.9985177398997,
      13.56534375443,
      14.2030001965204,
      13.8332995200565,
      11.2275299935758,
      8.513960960548,
      25.9054668314773,
      12.0152730259777,
      18.8668473217548,
      4.18735148152815,
      34.6529318378182,
      35.5687080502194,
      17.5804022653803,
      8.70001158267563,
      45.0803321349441,
      15.783826800661,
      -1.04423336624572,
      40.5954575505283,
      24.9959574329661,
      20.2537595251644,
      32.6294248870804,
      7.87025580819704,
      32.4164207633628,
      29.4454305680067,
      29.2615893564311,
      30.7071534176199,
      33.7475076210916,
      34.7073731456483,
      32.8470653584314,
      37.60375415745,
      35.1769977326961,
      36.5272912871111,
      37.1926984775586,
      29.8568671851613,
      8.72897640123575,
      -5.3713582838794,
      -6.90568225154135,
      -10.3625971600153,
      24.5176990358089,
      10.3064543456729,
      14.7628729982652,
      31.4208698123772,
      34.6260598436011,
      47.9311816883971,
      27.5027509877199,
      8.5556777234479,
      25.9798402370264,
      13.1734473409405,
      13.6456342798081,
      28.2316800078756,
      34.0770901782405,
      8.70117728838905,
      16.5172127713166,
      26.1378514993268,
      23.8363540332928,
      22.3483341665849,
      14.1808849754855,
      -0.232815304811278,
      -11.9628196404943,
      14.6193417748474,
      34.8537148819939,
      13.2492040282741,
      -3.56994433926715,
      37.5788945538086,
      34.5630307989823,
      24.0557648743043,
      21.9761754966246,
      41.1229076430861,
      44.4656615365903,
      33.8220950849515,
      48.1892013212635,
      16.3892518558031,
      34.3385461390572,
      47.3682464173667,
      31.1919370841527,
      11.1836259349441,
      6.33214148689323,
      18.2743354572064,
      31.010338389154,
      36.7280030481172,
      56.1972025834983,
      37.3554476329851,
      30.6348915342635,
      36.4443221410142,
      26.4690922089374,
      22.3505965803534,
      20.7597805376633,
      27.8052322813669,
      57.2132992421611,
      27.4087464828362,
      20.2794540630339,
      35.1861336271702,
      30.7028165930373,
      14.4163448103432,
      35.6639566248773,
      33.0877741475116,
      19.2514866405118,
      36.5480421502583,
      15.9641645203801,
      -3.83642100306321,
      44.4750245763252,
      22.0536803699444,
      28.4831372684752,
      43.6999818542623,
      13.6522744494794,
      15.789751970221,
      26.2435266016495,
      24.7765000554224,
      13.8071720803761,
      22.1481239671775,
      24.1216494690063,
      45.3509576119833,
      25.1519218452132,
      26.6205437179268,
      24.0361876427391,
      43.7178941564036,
      19.2899071325332,
      -6.87729114025125,
      16.850023710534,
      22.6978666461443,
      19.0955720572055,
      28.7287512344383,
      33.7223665720617,
      30.4527319944335,
      39.4259298225009,
      30.3708471275205,
      37.9604043887849,
      28.1085828175281,
      35.179409458847,
      32.9706848781939,
      24.2686688520747,
      30.6655072548909,
      31.1327360492173,
      21.9409254816953,
      35.7470523912669,
      37.0909883494652,
      25.409560646314,
      27.5527371433484,
      21.0634838175674,
      27.104135166178,
      21.2107666997303,
      26.7779620718299,
      22.4216550183617,
      25.0619577513825,
      36.800993653928,
      28.7693247317921,
      19.7921120916459,
      24.1812381105759,
      36.7606068351719,
      31.570992132315,
      17.1059181507072,
      17.2396678909163,
      31.7654606234879,
      9.06031615836087,
      24.1975575095951,
      25.9460032685214,
      20.3310047344891,
      31.810417233631,
      33.1308257939429,
      36.1172949268564,
      28.0284213428304,
      37.8186919779268,
      24.8880833437648,
      36.7201695294078,
      40.9545092016139,
      35.4900752003833,
      20.0484944282045,
      40.2126659446176,
      39.9807073076176,
      29.388819665503,
      37.8433005751126,
      35.4947321203849,
      28.4704981442902,
      27.5851134480878,
      21.7238106055033,
      30.9384335779946,
      20.2916668822273,
      20.8089861611687,
      23.591895595014,
      18.0904514699354,
      27.7242352007873,
      32.7230276904523,
      23.0965147442483,
      16.784659961159,
      20.8885476793986,
      23.8510044444307,
      23.2028173395225,
      36.5545591667552,
      32.9413189243559,
      34.012100986991,
      37.35855956468,
      28.7464500891648,
      29.5674070236365,
      23.8201898006004,
      34.9679608163087,
      23.988812183645,
      26.9411544181258,
      30.0612497710479,
      23.0340388846499,
      20.5001647501879,
      27.418165252705,
      29.2303137195383,
      22.4541879421814,
      24.8321925351667,
      31.9606346623291,
      27.2212579017526,
      19.6918561028541,
      24.2732363243166,
      21.2516311607205,
      32.8934450986344,
      17.6817481956281,
      17.446044773075,
      30.6327462753751,
      17.1235700718997,
      31.3887414430754,
      22.1736127761017,
      37.5539296893909,
      30.8495686076452,
      26.0274280989079,
      32.6077730581479,
      9.94467963885633,
      29.6355324651094,
      4.66409670678184,
      18.2984720704791,
      25.3278971643076,
      14.1016116339258,
      10.8785599125269,
      28.7083428301249,
      20.4590900384631,
      35.2137714962889,
      33.3242778420311,
      17.0978916948694,
      12.749196169948,
      25.0930072214993,
      27.2259199226506,
      40.7027803188126,
      42.1469368839341,
      47.0901139652266,
      36.7942217868747,
      34.1450344695004,
      21.770568476628,
      -10.76604766994,
      -42.6872136418111,
      -34.5095069734623,
      14.7667343745891,
      14.6706859873947,
      32.2906045100377,
      -5.25369676598578,
      18.7614311993388,
      33.8306618803652,
      19.8014441732048,
      49.2465566553897,
      26.4158629389962,
      25.7027752507323,
      39.4746587861339,
      29.3642287706391,
      31.468031402858,
      30.1746656080784,
      13.0341516356464,
      21.6052198928193,
      18.3170750521986,
      15.7694668288641,
      25.3232664678366,
      36.8935038803425,
      21.3488386520627,
      42.8884181210234,
      17.4231268076916,
      29.736601595706,
      27.1175013048012,
      14.4301143372302,
      21.2246011762124,
      36.7992843443712,
      37.6956343221118,
      34.8027582538925,
      20.618418115129,
      30.1638884038759,
      23.6559661966518,
      15.6170574242301,
      37.8888372529158,
      39.1683525505693,
      30.4929635681043,
      38.1854140641552,
      10.3370989073255,
      5.2391842670735,
      35.5401818714934,
      27.5468674909682,
      38.5087529776042,
      49.8772081106863,
      29.3354922072088,
      4.55609367645217,
      30.3907441277158,
      30.4642273349814,
      21.5740390484405,
      19.5099751701037,
      36.0165099079919,
      32.0468796493646,
      31.6196375078843,
      36.405178087173,
      31.3930849709411,
      17.2451163362837,
      -1.14596729107675,
      14.6232278577365,
      10.8759783346288,
      -0.750069134896384,
      12.3928522400084,
      3.64053884410611,
      2.99225640190336,
      33.3455564092791,
      21.9593911187624,
      19.3003625461246,
      31.7302840202415,
      34.9916571416619,
      33.7178685555627,
      44.7346115392173,
      34.7017718213555,
      45.9737040611512,
      35.1000674415791,
      35.2792665253502,
      19.156283348124,
      14.8927559051157,
      19.5726892089805,
      44.5288983292885,
      47.7753599799,
      15.6326010608523,
      55.4646327653156,
      44.521097063071,
      36.1859423728681,
      45.022602091187,
      20.2882117327982,
      25.5621469939041,
      31.0704463166105,
      19.5898774632625,
      32.754535245502,
      26.6251752681208,
      33.8565342698136,
      29.6225346439359,
      13.1171897362656,
      19.1813890429014,
      26.3451473222336,
      13.1178844063687,
      14.8622909513524,
      19.8755739496412,
      29.519954007422,
      18.749231515105,
      20.8992386457456,
      17.9381866260097,
      1.54387531534933,
      -2.07701484188228,
      20.1289713978768,
      -0.248973227046652,
      4.19780472090684,
      -4.31295696832771,
      -2.00206801952935,
      29.1168811175531,
      20.664723120332,
      27.1950945758896,
      39.5912024661465,
      29.3736182944444,
      14.0262310592781,
      27.4913763143342,
      32.7042184377932,
      25.794430324013,
      27.847308471556,
      46.5137581328757,
      48.4554035564116,
      39.8680724775649,
      19.3822312328805,
      21.161507414547,
      13.0595164925744,
      11.2972359876366,
      39.4723006227007,
      24.3307658421975,
      28.8570121697834,
      36.2640248382083,
      28.5410028829912,
      30.4475030108805,
      27.9019804645864,
      21.8386883731232,
      36.1933302558641,
      26.4118487130337,
      35.6620431169773,
      40.4519523945493,
      28.657309022387,
      14.8818960389966,
      24.9547519218334,
      34.9108519627338,
      32.8243616878553,
      31.4219520638057,
      39.1628295429051,
      21.8605632246243,
      19.5209134592297,
      28.0456179612193,
      29.1776847344927,
      30.1340698545278,
      34.9754765363867,
      34.0547333921636,
      33.5899994776032,
      22.8234337442743,
      25.0719066254786,
      30.7839793214503,
      29.4331210428585,
      26.255318285394,
      27.2531082784321,
      21.5661849665058,
      9.83090436077398,
      12.1067747733649,
      13.8727774720401,
      13.5180057978493,
      24.3928379360496,
      15.7684472401164,
      11.6605303980574,
      15.266733102871,
      8.96483848688727,
      10.8724317633279,
      4.22768177250353,
      7.5177070987576,
      8.84224071774996,
      10.8308239396927,
      11.8380795771782,
      5.64609938722088,
      0.37091873654519,
      0.208705482286537,
      0.20913670318494,
      0.20913670318494,
      0.19700830738403,
      10.1531241758824,
      9.88695653925405,
      -2.14678953716271,
      -10.7575962555784,
      1.27751403698221,
      -19.3175561678125,
      -21.1019412355466,
      3.94128633140102,
      -4.68040395004585,
      13.2639839937485,
      27.0247261236509,
      7.1874765099093,
      2.27907399846159,
      -12.3253494877446,
      -29.5831510018878,
      -13.0872017012644,
      3.72060892871781,
      -13.1535935959778,
      7.46514058898129,
      -8.45707510089509,
      -38.303259472358,
      -26.353427842452,
      -22.6689906852464,
      -17.1758233767078,
      -3.32653423539727,
      -8.95126404855661,
      -19.3839299147884,
      -1.63395448034807,
      -30.2565376709809,
      -4.0678857889721,
      8.4287714297808,
      -15.2892807695224,
      6.01894218869331,
      13.9569910742343,
      0.0527077092475877,
      -2.77953010482279,
      13.9076740908741,
      6.93739346315451,
      8.92845601871269,
      33.0587733840591,
      0.895610817985985,
      21.367324905243,
      13.2356760084066,
      -25.6797043699802,
      -15.8444256477001,
      6.81287702736397,
      4.42720297034768,
      10.1996075410344,
      6.17557840378312,
      8.10887449671566,
      4.07058030890947,
      -0.164337534581656,
      -1.63342262603434,
      -2.60261794108607,
      -13.9815637721393,
      -12.0007952120628,
      -14.5718261217194,
      -13.9534236471945,
      14.8758755796403,
      11.7951483382541,
      -13.3252417712572,
      -10.2912863479203,
      -11.3568661592785,
      0.94396368052781,
      14.2638672701742,
      13.7929215885765,
      6.80812556464597,
      7.28718627095394,
      4.60155293352194,
      -19.2159671780212,
      -8.69551356199615,
      1.23454626810763,
      -2.06856773219536,
      -18.1697501291806,
      -15.4753915078146,
      -34.984739799286,
      -12.4514311952218,
      -19.1038455504214,
      -10.4536863980707,
      1.46523696311405,
      -26.1245477870424,
      9.61465804592353,
      -3.88078621228606,
      -4.65853900366312,
      -9.01266776029703,
      5.13193848373192,
      8.62739746094952,
      2.2239481009063,
      3.18092443199673,
      -0.216768723458173,
      -16.6553150503929,
      -2.27388026361793,
      -1.55500802393386,
      -29.2691058487206,
      -8.83062995379872,
      -15.9952246344548,
      -32.4914227087942,
      -38.7103204029042,
      -22.2818320999467,
      -37.8348559433754,
      -18.1128717154479,
      -13.4170097388917,
      -1.6378775197542,
      -4.17973255230618,
      -0.758475428865329,
      -13.9674578216593,
      -2.64061421520202,
      4.68129183713666,
      -1.54062786314521,
      10.9750765926894,
      2.57602295851015,
      0.453026646452605,
      -2.44151291882056,
      -20.7981875376279,
      -16.7288756566421,
      -38.1152553046384,
      -31.3894183433115,
      -17.4782605606492,
      -17.8935974163005,
      -31.9285586895879,
      -20.0864929200177,
      -33.425767189707,
      -27.5913396028089,
      -28.0897466430661,
      -7.86595008058066,
      -4.03533346247074,
      -16.5645759108874,
      -5.99676718530028,
      -26.7383220429593,
      -20.1772558075081,
      -13.6429400956512,
      -11.8648388892713,
      -9.58170635550994,
      10.9739244714383,
      -8.13229708257383,
      -0.508914159246403,
      -23.0178724289927,
      -0.688008015627307,
      -36.1820943976463,
      -22.5616431897368,
      -32.8294351354094,
      -26.3264451749393,
      -22.3780289315969,
      -10.2805389492467,
      -17.9497018457525,
      -9.91850789198208,
      -4.49567825338705,
      1.64736365076203,
      -12.6259806008767,
      -12.3762006683497,
      -6.04707663632567,
      -7.22451410023617,
      -17.4332572945266,
      -10.0990124824505,
      -8.57597050192798,
      -5.27547100105217,
      -4.207386546615,
      -0.360514369475758,
      -0.0426432212993424,
      -7.99944153133504,
      -20.6809754729607,
      -7.45931314895726,
      -8.22218206172877,
      -8.4868123871755,
      -15.4165955909747,
      -6.40610945800282,
      -20.4430279711072,
      -19.8952257952492,
      -19.2120586225103,
      -16.101746762248,
      -17.7007842753736,
      -14.23671475468,
      -9.80858421237574,
      -7.78779069609164,
      -2.72357669486494,
      -18.1170213291219,
      -9.08067430137312,
      -8.36151741231185,
      -7.33175082639798,
      4.86736230452658,
      -8.89399773255315,
      -3.64473514796031,
      -22.4229933709286,
      -14.6429208478561,
      -14.4160559112439,
      -30.3565640101871,
      -28.5648886791884,
      -25.5953902715168,
      -27.7451828899487,
      -27.0561267754759,
      -26.5888806286688,
      -19.2736157313941,
      -17.025333079766,
      -13.8845407042751,
      -16.4364507539994,
      -14.4940912074297,
      -12.7856931654032,
      -21.2195610972279,
      -14.3228444794996,
      -16.7244315401467,
      -7.49504758794111,
      -8.50878855443598,
      -9.47139731593504,
      -8.60682791299681,
      -15.0637216356507,
      -17.0001141288646,
      -15.3497398787809,
      -16.9616951525074,
      -24.2502163970859,
      -15.9737051951597,
      -16.0351455074146,
      -22.5117585535928,
      -24.7884507545036,
      -27.2452927656359,
      -31.4513433403554,
      -20.8786368963727,
      3.08269895010951,
      -19.238706001787,
      -18.1888857051304,
      -19.474099270229,
      -17.5941598890993,
      -14.8964781653345,
      -15.4863073309875,
      -13.9990973671705,
      -11.3635131560129,
      -4.72617641357784,
      -6.8642024470109,
      -15.2869682603309,
      -20.7902816710747,
      -20.4457184776965,
      -12.4589337670594,
      -20.8507235513827,
      -28.068626345257,
      -16.2372150658098,
      -26.1560049186731,
      -25.4474664514946,
      -11.8248980324624,
      -6.70520133750425,
      -1.04426037495249,
      -10.9773776506549,
      -27.4322017638929,
      -24.6327807332029,
      -47.7864029919561,
      -27.6858189715267,
      -8.73181115671057,
      -54.2604882314174,
      -24.9295339887657,
      -28.0006903876328,
      -8.53924440734253,
      -22.4426171332794,
      -16.774474657133,
      -35.6843904850368,
      -19.0322085401365,
      -23.5554938609689,
      -22.4197295986686,
      -30.7479369093836,
      -20.5810372598005,
      -32.2054379414732,
      -28.1103165536852,
      -34.6130313347091,
      -18.6743278044649,
      -18.0166609653421,
      -38.1425519636624,
      -29.0902175799512,
      -25.8008179007443,
      -28.5500913939838,
      -27.5243517123587,
      -32.9442189284856,
      -31.1943148238231,
      -29.2223100896744,
      -9.75899424618263,
      3.75505277605749,
      -0.529519780998125,
      -18.6665980961339,
      -2.39538174113355,
      -12.3800055665884,
      7.97658959204305,
      -20.0192840544067,
      -26.2319817738802,
      -14.3854407961016,
      -35.729864910656,
      -57.1031020759675,
      -34.1942923181076,
      -34.466796882436,
      -19.012936190494,
      -11.6457926791527,
      -23.0251439782367,
      -19.5787523510763,
      -15.4978629041832,
      -19.4441766367345,
      -11.2775327658296,
      -10.874069025858,
      -5.0241972969839,
      15.0422431820817,
      5.60321869776914,
      -14.8224072617932,
      -10.7570269288459,
      -5.45556901775183,
      -28.9810511824559,
      -37.7679353816742,
      -29.4230958354411,
      -28.1666417457489,
      -25.9978316326053,
      -29.4213602198981,
      -29.5378211374755,
      -24.0774390011578,
      -32.7336583222393,
      -25.3921302308809,
      -15.9869581301811,
      -2.84761672323122,
      -12.8110808137555,
      -1.57599323981254,
      -22.4268819948783,
      -3.25772033521061,
      -7.77069011073105,
      -17.5607258292123,
      -7.46420140413805,
      -7.69381466221209,
      -8.89059545664535,
      -27.8425074158311,
      0.304907209450057,
      -3.74899689425629,
      -23.7292811956262,
      -12.9614113389509,
      -11.7081067381355,
      -11.2310656540141,
      -18.2757316061398,
      -4.5485852928976,
      -14.8579696123636,
      -41.079238766304,
      -23.7860957956737,
      -25.4911867552082,
      -14.4584659269625,
      -22.8513725965346,
      -16.7205451074209,
      -20.2121150433842,
      -16.8204566041136,
      -25.2897955534403,
      -30.4312315385347,
      -25.057792761446,
      -14.3156069559581,
      -38.8822957355171,
      -35.0099487421223,
      -22.2444180801861,
      -33.902747800137,
      -32.4097279441471,
      -32.1468329662347,
      -27.8477985970079,
      -35.2239532518355,
      -36.950499392325,
      -37.1610579921266,
      -41.4938324173285,
      -8.47314710897103,
      -8.86598688637382,
      -19.0375636403359,
      -22.3021923271126,
      -18.7520800593581,
      -22.8298917494159,
      -38.8749534415155,
      -5.39744094745613,
      -25.7913290029409,
      1.94613738015322,
      -3.77315068159819,
      -6.33433696841804,
      -10.8084677652314,
      -25.0773721118957,
      -31.1833169715139,
      -27.4273885047992,
      -28.8021266268237,
      -32.4455624742362,
      -14.6565836920054,
      -15.2635573670252,
      -37.5329088215797,
      -28.1074151535098,
      -25.7343499026835,
      -21.2599274931045,
      -18.7643441055782,
      0.53388968222354,
      -2.5036779284261,
      -19.634509859375,
      -16.6466422322762,
      -8.99528516451878,
      -12.4267149155314,
      -15.6484088194416,
      -12.3796932045519,
      4.69856448923466,
      8.10507097916081,
      -14.5426449156295,
      -13.1807197639841,
      -19.6411767200063,
      -0.360085945836573,
      -18.4209678189514,
      -21.7143755174422,
      -14.3809968928352,
      -22.633998053778,
      -16.0343562006013,
      -19.483640414798,
      -19.8368245616945,
      -13.7527535228611,
      -21.7046198528677,
      -7.85394173097961,
      -14.3882389664345,
      -10.4964705044056,
      -4.25100733168491,
      -21.2102266262561,
      -27.5923394147955,
      -31.7962633544397,
      -9.73541161960438,
      -6.77387397959833,
      -4.68913581127243,
      -14.9045796792314,
      -25.8080578951914,
      -21.2421757130209,
      -19.1319334444734,
      -16.7886032518105,
      -16.1720603647082,
      -19.1607505755105,
      -14.5599173166351,
      -18.4516661906224,
      -11.9789891158234,
      -13.091179063739,
      -6.19411003290674,
      -8.12352311068917,
      19.9887421054949,
      -1.76335303143496,
      0.483528331490351,
      0.695574241765709,
      -2.2472678758354,
      3.57627159416562,
      -1.37767395779144,
      10.8182922881581,
      12.6207861238102,
      9.69591147811599,
      -3.08731276636132,
      -3.40134945897786,
      0.382873610300495,
      2.6555543563555,
      3.91820808441889,
      10.3843759411262,
      9.54211945107984,
      10.695680012379,
      5.39250301450299,
      0.369432583672072,
      0.208699845093505,
      0.209131054344511,
      0.209131054344511,
      0.19700298613494
    ],
    "mfcc_delta_curves": [
      15.9573060228361,
      1.4331683328855,
      4.88612885295379,
      -8.00466262513117,
      9.42919400257379,
      3.00921790740707,
      -8.9962598242762,
      -1.75084345151215,
      4.40291534458312,
      -1.66370971971522,
      -11.6666894427525,
      10.5600180591094,
      4.40704789273376,
      -5.9447033630219,
      -0.279249515780193,
      -1.6256349826368,
      -1.66807443179617,
      -3.48331834436847,
      3.64136232563491,
      16.099673145246,
      -13.0314616908603,
      -0.802440606416073,
      13.8568941166265,
      -3.49565625865177,
      -6.92635296050622,
      16.611897990129,
      -14.136302234339,
      -4.42022419816662,
      12.6599369363052,
      -10.2671304546007,
      -4.65817119875829,
      5.170376229962,
      -3.60757836457058,
      -7.56555397815632,
      8.85433789255292,
      -0.406707305854764,
      1.62357141182377,
      1.10300525807732,
      -7.23381413186458,
      6.27858688577704,
      -2.31589242724458,
      1.46849481102797,
      9.84509198315371,
      14.8229232902912,
      -10.2576436015156,
      -3.61766204956347,
      -2.06814230797906,
      0.194056332219061,
      3.68286121248299,
      4.35826885743644,
      3.86381889057206,
      1.68984120151659,
      0.617187660114581,
      1.67744277048603,
      5.11944331982969,
      -2.85831136171629,
      -2.84493367269213,
      -0.156305172968422,
      -5.80889853697496,
      -2.19063931424436,
      -11.1730049136897,
      5.12731979604263,
      17.5760052888971,
      -23.5868166326759,
      4.7777496118442,
      11.1178306799689,
      -8.50264088881233,
      -6.3302617161792,
      2.33455771804354,
      6.73030053997386,
      -21.8171647438905,
      15.7092002607799,
      18.2569576588698,
      -8.6066346289254,
      1.36526555478272,
      -2.32366547926734,
      3.93804893625303,
      0.86254406718078,
      -6.67858838439993,
      7.64263544019045,
      -6.16563036642992,
      -10.7139900502582,
      20.6417089566461,
      -18.2409596449527,
      3.86008537604694,
      5.37425933721197,
      -14.5126364007916,
      7.4608208916416,
      -3.07661992904402,
      14.1942365275885,
      -11.4002895187833,
      1.46751842121336,
      14.2530515197733,
      -5.53260117200435,
      -3.77446986257122,
      6.10694199306136,
      -4.07403564699281,
      3.22020121488485,
      6.73670036186121,
      -2.97168925234776,
      -2.03981578740911,
      1.20501797016368,
      7.76157754031267,
      -16.1745563229191,
      -4.18499577296053,
      13.8244233309517,
      -11.1262809396121,
      3.53379735404363,
      1.38965032157381,
      -10.6535207891431,
      6.9401746960733,
      -2.9628503236631,
      3.17405609953189,
      0.172665244494096,
      -0.103583358255574,
      -2.99741234077592,
      3.26274371847436,
      5.4848758749465,
      -6.60125201241432,
      6.28504010627727,
      -1.25972623323761,
      -5.24553582918795,
      13.4049314191936,
      -8.32757328903646,
      -0.563496922147178,
      9.36638176309574,
      -12.1051002443069,
      -3.89341504097467,
      12.2525402202795,
      -9.68528384342545,
      5.25444622794548,
      -0.176190155606148,
      -6.75739283578934,
      2.97852318589163,
      -3.48442874154229,
      2.00723276367024,
      -0.531114590865344,
      2.81330315466791,
      5.10752339349462,
      5.10204280088589,
      -8.52257660383462,
      3.45713194813258,
      -8.16922956235215,
      7.79259250935261,
      0.565708453643461,
      1.35824878168564,
      -0.167870853458839,
      -5.34022792843457,
      7.21897441498412,
      -14.1204380512994,
      -2.3040928479817,
      18.1245413566846,
      -19.0813999977342,
      8.67285518663544,
      1.82631211584585,
      -4.77445682023748,
      -0.181362915998889,
      -1.69500544659271,
      1.16930490414161,
      -14.9599274833932,
      9.55197159384908,
      0.8564058748104,
      -4.20765057553378,
      9.9582621648671,
      6.09865795261672,
      -4.01906795592541,
      -3.1859188846583,
      2.2326435168992,
      6.17567568251072,
      -3.02628864031021,
      -5.3861189860926,
      13.1442624936015,
      -18.6606328754718,
      4.38423411729673,
      7.70621625107199,
      -10.4360261521669,
      7.40914688434812,
      -5.66628384911507,
      -3.48543987963431,
      4.53544808146151,
      8.87367570700207,
      4.05989586715695,
      -7.65463642110796,
      -0.709678700565177,
      2.83788751593332,
      4.22334128027938,
      -4.56963140322582,
      1.03281044979471,
      -4.49211109347977,
      -0.749710319499918,
      10.4010137027837,
      -3.36300918689634,
      -5.56934050471236,
      7.27884434513983,
      6.81322611729863,
      -9.97672774628412,
      -1.50463024045258,
      -0.793346172932226,
      -3.92419778223789,
      3.92441744702962,
      -9.59791868043543,
      5.80624867120905,
      -5.92684402098453,
      14.8220459734548,
      -8.16266178603069,
      -0.784455389575897,
      1.47676789914822,
      -2.94737785572865,
      8.83352198708435,
      -5.40523619080105,
      0.305356916162239,
      10.740150632326,
      -7.93262743807392,
      -0.653031317768536,
      -0.924611329974438,
      -2.59842777882305,
      3.86894641786753,
      3.09763606177852,
      3.14333484716171,
      -11.2541055435176,
      -1.13286930792539,
      5.07759888329937,
      -6.7767481527204,
      -0.744089262488964,
      -0.518391214465639,
      -2.2402321228581,
      11.9232782709231,
      -9.03402167404977,
      11.1420686422717,
      -5.94867819870138,
      0.602015420634268,
      9.55056670229179,
      -12.8958078141787,
      5.10026030624918,
      7.8094624790512,
      -2.0735578146212,
      -3.43105223724549,
      4.88506636881,
      -5.94474057963344,
      6.21313815749594,
      1.04125959106022,
      -2.11160350721694,
      -4.233932682313,
      -8.42627167183608,
      9.15653414833159,
      0.951076612418302,
      -0.77775632045239,
      -8.3902017987736,
      4.68910712050469,
      3.33803422747604,
      0.661790034513562,
      5.11114092901125,
      1.38137003324075,
      -7.80849041955207,
      7.45034865968601,
      -7.49106320816402,
      3.66563080995095,
      10.1766928027961,
      -15.5832511202438,
      10.9991995695312,
      -8.36690875212176,
      -3.26281310085344,
      4.69083834224613,
      2.32060760489769,
      -5.00817153279088,
      2.40527306239926,
      -0.379085137608932,
      -0.473767099571634,
      -5.19888364908185,
      -8.86245398357574,
      6.03945991238953,
      5.1444690538907,
      0.497187254823909,
      4.44778649641966,
      -10.7844099157662,
      6.77875630525954,
      0.437283781460485,
      2.60731083544305,
      -5.19616335846374,
      2.06307992498357,
      8.17848776422549,
      -8.53061630407992,
      1.33783188863376,
      3.83153473317494,
      -8.36124998983188,
      8.14935201332291,
      2.78688894649945,
      -3.66515856981271,
      -0.766177519343585,
      -4.93813250281228,
      -0.694001419216177,
      1.14489211307352,
      -2.75074762315005,
      1.54402713986202,
      -5.12021166894266,
      8.23049820431214,
      -2.50293155744181,
      1.68257268172295,
      2.73971441900264,
      -4.34701216150536,
      3.33188976361707,
      0.140390664937256,
      -3.66257404382187,
      13.9982321787704,
      -15.2806459044145,
      9.55401847462048,
      5.74445357214079,
      -1.29108763179355,
      -2.26909999800006,
      0.163197220885266,
      -6.15933257612064,
      -0.837121745620935,
      2.35810582794572,
      -4.66612832576345,
      -2.98913077461955,
      1.00482847142866,
      1.06515704765953,
      -5.58715241937351,
      13.8900166907171,
      -14.0730116346921,
      -1.17627018321482,
      2.39189260005178,
      -4.82738865667236,
      0.682911255009426,
      2.63680733658407,
      -1.04910812260563,
      8.56996524428169,
      -6.44034340950649,
      4.58179908975834,
      9.57370110089677,
      -14.9991899260285,
      6.37902914326271,
      2.39667623092522,
      -5.67828680942258,
      9.40961032012441,
      -8.22582981173741,
      8.84071663136019,
      0.711183884547268,
      -1.28509826546457,
      6.11599296629551,
      -23.5273739916698,
      6.20697498008118,
      18.4252927533993,
      -11.0410837034573,
      4.43281511560046,
      -2.31270511823897,
      -0.484634502825946,
      7.4832218287588,
      -4.73586885141328,
      6.87624546741889,
      -1.48894641405689,
      1.00753423546107,
      -6.93157315321958,
      1.90361202573776,
      -1.24267741418289,
      7.17330750865946,
      -3.8347996445459,
      -6.10153731231842,
      -1.83482793980672,
      -0.502885972314609,
      2.05883018846726,
      -5.34079874795393,
      4.42913574097394,
      -3.77690403551977,
      9.04733519785023,
      -5.57376186534959,
      0.872146130514069,
      4.68025574050761,
      -3.50545126094889,
      1.37725186421723,
      0.0467547691963163,
      -0.279805223586097,
      4.14231849079863,
      -1.75371965450846,
      -2.31527424836474,
      1.56397800050368,
      -8.31824367357969,
      8.60098911804392,
      2.764463502436,
      -5.09630958587728,
      0.372514875278224,
      -3.09473242667989,
      0.557634226901481,
      -2.15757084358119,
      -2.78216978782379,
      3.84090608552107,
      0.718086745904644,
      9.71464868322297,
      -5.9509957565855,
      1.32419781333946,
      -2.74539167890274,
      4.06656043299772,
      -0.875903679819584,
      -1.54086281493692,
      -2.24129079035728,
      5.32942082871677,
      0.980615199959882,
      1.76771606695984,
      -0.605618765626856,
      -7.55345711901544,
      3.18641402492941,
      3.93027566689745,
      -3.26905443931191,
      0.0585054474375071,
      -5.32777095302736,
      3.03172581890099,
      -6.06659920679949,
      3.00744133579804,
      1.42420436189645,
      1.51116989676432,
      4.16613926902777,
      -3.43325585364682,
      -5.91575526307939,
      6.91588879988611,
      -4.33889247759555,
      -3.0775324443126,
      5.17713844554932,
      -2.57487615589557,
      1.7583819369666,
      -9.02775893872169,
      2.56128129242796,
      2.395854926883,
      -11.7000421845268,
      2.66256126575735,
      6.32305960298294,
      -2.35743153674403,
      -5.78697964516851,
      -5.03902292451969,
      0.0102313128611066,
      -4.66808007368915,
      -4.6607110080907,
      3.83859668685039,
      1.2566819547463,
      0.0692867893990951,
      -2.83751618156666,
      -4.68550370042606,
      -1.70841290671801,
      -3.86415529117304,
      -1.24114255847341,
      -0.672276452781476,
      -1.07739243729266,
      -0.536133909404681,
      -0.0731609321521864,
      0.00000737662732228007,
      1.15798125702366e-14,
      1.04970807824117e-14,
      -0.00283939419916169,
      13.7291847145313,
      -7.87898221643065,
      0.656215504778783,
      -0.880174353935782,
      3.24639483658638,
      4.46594113131946,
      -5.44904326434157,
      1.07766958321087,
      4.53861501470786,
      -1.55844298834657,
      -5.72816861669302,
      -2.69904805591744,
      8.50601714310141,
      -1.76806666777164,
      3.79409504324018,
      -3.01347132128523,
      -8.39983277856762,
      2.86917833154158,
      -0.583457098703139,
      5.98182173711526,
      -0.394385856027549,
      2.27105145480086,
      -0.104509084256314,
      -12.2302309718377,
      2.62504848676838,
      0.64475498293539,
      1.88626765136679,
      -1.24688260661633,
      9.62346935096624,
      -8.16762524071991,
      2.41280856429231,
      5.29240300465192,
      -1.29049940745637,
      -4.94755324806883,
      -2.66743021453932,
      7.66617798064752,
      1.87410284453348,
      -2.4680612728324,
      -0.0552106126182816,
      -9.66992492292686,
      6.37247090575995,
      -2.51557693488194,
      4.42205247653987,
      -3.84069712627483,
      2.78454739039455,
      -3.71122225821463,
      2.38804290524761,
      1.57359331151696,
      -0.446933904777574,
      0.015743274291114,
      0.807352569698174,
      0.356473205437873,
      0.492952571505034,
      1.49818209159145,
      -5.2980520044949,
      6.38058170219388,
      0.823116346891329,
      -2.33769172399805,
      0.10065276459227,
      -0.418020635582533,
      -3.77349416379877,
      3.86879246857303,
      -2.5209190752003,
      -0.646786269571912,
      -0.781280827496662,
      4.04151330029685,
      1.851540280803,
      -5.32527583529484,
      1.87004701113425,
      -0.771068861535513,
      -1.52241859379313,
      -0.305730190997656,
      4.05168430028705,
      -2.33916427191427,
      0.257618005521022,
      -1.73301770889714,
      -4.15065527187725,
      11.0426050855173,
      -2.58385473812854,
      1.65984980410156,
      1.43272542128249,
      -3.44697002843022,
      -1.83815548957856,
      3.83497250733891,
      -5.09864861988956,
      -1.26104041968094,
      0.648838654626611,
      -0.468672290996858,
      3.78697396169431,
      -2.59838321473055,
      6.01046082908657,
      -6.42591847589126,
      1.58088865757777,
      -3.24733882321534,
      1.89618247751101,
      1.05377818795336,
      4.18991441500572,
      -2.73283537036719,
      -3.04495563329233,
      3.82201380442751,
      3.90639770595726,
      -9.13221936574129,
      5.08374504540825,
      0.121157889209973,
      -1.97069264183955,
      3.06040656447036,
      0.813483490935356,
      -1.98996557792599,
      2.34399403113815,
      -1.48057045361644,
      -0.644800469071906,
      0.5902348334907,
      -0.546135627330615,
      5.45116519120242,
      -4.59892761189363,
      0.0618728562561951,
      2.27331923676889,
      -4.02093891543679,
      0.274453790201816,
      5.08169124187833,
      -2.6448386542595,
      0.177956560676617,
      -2.48484427485765,
      -1.70195339197372,
      -3.96001384094115,
      5.08094408882466,
      0.955207147617652,
      0.162009623851311,
      2.35265925551881,
      0.643996201742438,
      -3.90779997152966,
      3.94231402718797,
      -2.34937970458101,
      -0.491871498337685,
      3.05616103823857,
      0.559428023515557,
      -2.38775838008777,
      -2.90456908645212,
      2.46802603727618,
      -3.08290697533598,
      2.83737571061818,
      -0.895753390797888,
      1.45232867823647,
      -0.351316606526269,
      -2.16952956791088,
      0.443349179385589,
      -0.611056492641127,
      0.57181876048974,
      -1.74465287805769,
      2.27704878005074,
      -0.3283560035228,
      -2.07348027654335,
      2.27298261448645,
      -0.0018866998731898,
      -2.66051936817991,
      3.85553193847608,
      -3.78319729283906,
      2.52800360741865,
      -3.41623273392303,
      -1.6540894883881,
      0.301458118193557,
      0.332077753017751,
      4.08212876694212,
      -2.09930396893349,
      1.41153831563666,
      2.00201076551528,
      -2.91799453126092,
      2.23501818161586,
      -0.355003208112347,
      2.89228821616469,
      -6.60767906510591,
      1.63670772222616,
      3.1699452197229,
      -0.915871140393274,
      -2.98618984900755,
      5.98483660711219,
      -1.89652665676972,
      -2.9395746833275,
      0.15453667653905,
      -3.46823830879083,
      -0.720790808879776,
      2.3750855771608,
      5.53520335590625,
      -6.34163915101963,
      0.532939394668013,
      1.61736539123816,
      -0.565819315210379,
      0.218407225008274,
      1.92603527037724,
      -0.104207205714095,
      -1.95224886497175,
      3.25086588149747,
      2.70244167348269,
      -5.0587259974125,
      1.17737661524856,
      1.65026445275841,
      0.607236659446633,
      -2.15683338054733,
      0.954688879207674,
      0.103790930767741,
      2.02016734296015,
      -3.57151816061158,
      1.23133859991838,
      0.225843034231996,
      0.658352286792711,
      1.8742405056778,
      -4.82797997387657,
      2.70880258897428,
      0.902269709575386,
      -1.44506790483523,
      0.73246680457032,
      -2.74697493346375,
      -0.972954204700855,
      6.98494760650472,
      -6.55759104397321,
      3.77846396646254,
      -1.74613672686615,
      -1.09401475842124,
      1.55120994321484,
      0.724918370958711,
      -0.0353770341214079,
      -0.328560466515591,
      1.66206884706739,
      0.645170817150432,
      -4.46429062160087,
      0.558133015794515,
      -0.551471278785525,
      0.590650189050893,
      1.82146976308361,
      -2.24963086613126,
      3.04488653897168,
      -1.044741636426,
      -1.43308048815067,
      3.32094883224061,
      -4.59258739145075,
      0.702111261508768,
      1.10803209922271,
      5.1285052438362,
      -4.86216264992928,
      1.75222572731979,
      0.453922355968583,
      0.34783282297558,
      -0.369853919581858,
      -2.0107657988121,
      1.85660417533807,
      -3.24715723045614,
      -1.06968701174824,
      4.45587823841923,
      -4.40328662803825,
      2.51690887933787,
      -6.44561345069857,
      3.47295470418857,
      0.733588567558005,
      1.65913257896438,
      0.0370792084755716,
      3.54527918873239,
      -9.55879040236041,
      4.19179947767539,
      1.08758009194842,
      -1.20950047639475,
      5.89998792581774,
      -4.75696825884406,
      2.10574592000862,
      3.06280788542438,
      -2.23919479919721,
      -0.726463541077915,
      -0.622217558305735,
      1.09968606720849,
      -1.66737967150779,
      -0.405830760454086,
      -3.26916449562175,
      6.62941350450167,
      -6.65438016087081,
      1.05500380877682,
      0.82357986552344,
      1.18907130199683,
      5.88113934964994,
      -5.72493046999032,
      1.43597154798753,
      2.18738824715056,
      -2.28504642676354,
      1.60077355934471,
      0.157605703617761,
      0.317736106372044,
      2.55552692284089,
      -6.1984078873908,
      0.395494319208739,
      -0.379119787826029,
      -3.65424862425926,
      8.85722307267592,
      -3.36504669804825,
      -1.24108864988848,
      3.00849567752462,
      -3.72728559124767,
      3.16532041808481,
      -3.22367873166381,
      0.776542888197647,
      5.99269208296105,
      -1.71555384039583,
      -3.82043041570227,
      -1.50239948497899,
      1.96023539209088,
      -1.08692174943141,
      4.11588359478376,
      -0.635260482020546,
      -0.994130181373659,
      -1.94948111953225,
      -1.9068668429684,
      -3.88880791363902,
      5.13624788033126,
      1.7776569549543,
      -4.30865303766124,
      9.94436173161186,
      -5.86116184576951,
      1.304335590783,
      -0.198739488498982,
      -3.0837710001272,
      3.66063636694352,
      -5.33384891511043,
      4.55347618085081,
      0.660593474042246,
      -4.36760315470086,
      -3.48453581200846,
      1.14414558951529,
      3.28310504204796,
      -9.2796081065543,
      11.6186711974181,
      -0.595142482435731,
      -1.07536448926935,
      -4.31757687770402,
      3.99815561610001,
      -2.8487964159977,
      1.23737238267947,
      0.249993771903676,
      -1.19736242213951,
      -4.58002830614097,
      5.80082495531479,
      -4.34618726962713,
      5.44781154522123,
      0.659060482773066,
      0.751124857981112,
      -14.5393853614103,
      10.49449932311,
      4.65489526223508,
      -0.733923343158904,
      -5.22740754535313,
      0.0315346241326273,
      -0.130731297084916,
      -0.661150933952518,
      5.62325807940046,
      -4.79729949554494,
      2.8986153452069,
      3.35539358372378,
      -2.38582182448772,
      1.68180366660715,
      -1.15206170375874,
      1.43012986538423,
      -1.73492629919762,
      3.4838965664085,
      -2.65605525987095,
      1.98329674614405,
      -0.32071617091925,
      -3.91518764037242,
      5.18339013882014,
      -3.62431766446197,
      0.391794705535579,
      2.7027261970332,
      -1.53054255152201,
      -0.52366498485228,
      0.93494417964878,
      0.084446378000644,
      -1.90046258637467,
      -0.996955766816662,
      0.0166939166845634,
      2.33456387436703,
      -1.53446200750982,
      5.84521109078527,
      -7.31641667862318,
      0.985702549220096,
      1.24595310306291,
      -3.76249278938794,
      6.77177657143391,
      -3.85530656607611,
      1.86221574827006,
      1.92621833780662,
      -4.84576368265742,
      3.94081205838416,
      -2.30980144962069,
      -1.41452949043774,
      5.5169611969081,
      -3.10755223786935,
      -1.79305630234685,
      -0.992699007898742,
      1.89141154751051,
      1.18909676883458,
      -0.949444211926151,
      -0.194421663635692,
      -1.30901870891325,
      -0.608507139909883,
      4.85422490505345,
      -4.56741899564061,
      0.0793290377623713,
      2.28838844373513,
      0.329191069002374,
      0.249822996303604,
      1.22629374465512,
      -1.14852643114754,
      -3.60171338798983,
      0.577529934130051,
      -1.49416190137601,
      0.895211797254651,
      2.87948487569147,
      2.12244500646046,
      -2.40807499094283,
      0.163672036621641,
      0.547642391065682,
      -1.95216904675223,
      0.562896114670298,
      -1.27472788048647,
      0.532723192999706,
      1.33051874245585,
      0.316918494853738,
      1.80342251241797,
      -4.15979588288753,
      -0.296889873477217,
      0.0603703750015895,
      0.88555864467051,
      -0.0817553478982443,
      0.010910112859044,
      -0.886731880725401,
      -1.63394566178723,
      -1.59439411556898,
      3.7165486004167,
      -2.04380305044317,
      -1.22864464982385,
      0.988603097111697,
      -2.16483112092742,
      -1.79214876695077,
      -1.58503933157147,
      -0.4847081428359,
      -1.22139267797315,
      -0.727979111017382,
      -0.10336305454532,
      0.0000104321141464749,
      1.61196384683351e-15,
      -2.17707285762228e-18,
      -0.0040155050701502,
      4.2120975852874,
      -3.14065878854223,
      -0.845050029227042,
      4.98659421540811,
      -1.87044095117682,
      -1.5204041376168,
      2.62504135193985,
      0.322287842196803,
      -1.04141745162992,
      0.774345153474858,
      -1.53869146085232,
      -2.65563890415093,
      2.08493300148578,
      1.36622211201815,
      2.20005894387263,
      -1.77416036694601,
      0.59844433597522,
      -0.272864624193135,
      1.63435908095373,
      -4.79091940481463,
      4.53513701491442,
      0.766859897896251,
      -1.90437702241239,
      -1.98664893090832,
      -3.56846710136833,
      -0.778798999661776,
      3.81765748641717,
      1.77183565124209,
      -1.49242055374063,
      1.85209653546303,
      0.887684043526256,
      -1.26435455031066,
      1.03025559566232,
      -1.68675666055046,
      -2.04960641906394,
      1.56460555121852,
      0.412280303879585,
      2.37263101416257,
      0.341930233377203,
      -6.60197153243931,
      6.12259502321424,
      -4.64531257526379,
      1.70402249002375,
      -3.16449667894391,
      -1.23512759577285,
      0.663531865792355,
      -0.486442634087704,
      1.89087602677432,
      -1.03510513788265,
      -1.37877844751121,
      -0.205619802583243,
      -0.473327285114341,
      1.85998364631973,
      -0.532750228902533,
      0.177442268664505,
      2.77092554087604,
      1.22366221052263,
      -1.82066534874445,
      1.56009741872641,
      -0.505690851087439,
      0.320473425670813,
      0.874500783729964,
      -4.52916977160083,
      2.41106172749233,
      0.238847069141899,
      -3.06513184873198,
      4.03025633656784,
      1.23378080149653,
      -2.92117362239051,
      1.41605214477932,
      3.35920664543795,
      -4.20408778104774,
      -0.31652257992824,
      4.77935256621063,
      -3.12537800140262,
      -0.039638970993505,
      -0.970251721508971,
      -0.558930907907781,
      0.226332382862519,
      0.946348493451058,
      2.10706148743689,
      0.538083623645898,
      -6.65536702493948,
      5.67755835009946,
      -1.31363204253151,
      -3.78510118044358,
      4.73531921594677,
      -0.542191786655565,
      -1.7080446255325,
      0.0699424403274203,
      1.47223094103132,
      -0.811209440993076,
      0.194195864388179,
      1.27470895362165,
      -1.81351883951775,
      0.477328675401652,
      1.13151232964977,
      -2.36478654777057,
      -0.797064860703645,
      0.345329030791955,
      -0.686388510323943,
      -3.12935096130347,
      2.40545099334128,
      1.91541975921645,
      1.61891181212847,
      -2.09691016845343,
      -0.039399194088597,
      2.48033852735483,
      -1.47829106121516,
      1.88598979760947,
      -1.31399651410421,
      -1.39712471604636,
      2.16162933032184,
      -0.123569532289194,
      -0.469068400360926,
      0.828305573250131,
      -0.448142931937114,
      -0.735144069974788,
      1.91889988932448,
      -3.05009804821566,
      1.32178834306721,
      1.43593413545876,
      -2.61347246255932,
      3.65958251635707,
      -8.27614382453587,
      2.97686422371196,
      2.3394556455734,
      1.72842338836964,
      -2.55245790236948,
      1.8506503902644,
      -1.96369698349865,
      -0.230611409842056,
      1.78698625293377,
      -0.805477636052662,
      1.2985396312811,
      0.919627599906573,
      0.089591917337764,
      0.626061157584507,
      -1.53596849348307,
      -0.836608049315327,
      0.660202647704326,
      -0.011980886834684,
      1.28255959359836,
      -0.369449467069205,
      0.00417453852541527,
      -4.53792394309829,
      -0.936404403475988,
      -0.568786839792325,
      0.735223301697482,
      1.54368034215021,
      1.05098763788277,
      -3.16656673733078,
      4.64294550847243,
      -2.06324072770749,
      -2.21705056178679,
      2.07379994418918,
      0.131537440774225,
      0.0301964661472074,
      0.84907442705259,
      0.663646487490345,
      -2.49492859538257,
      2.02487953234636,
      -0.209454260794451,
      1.23241363263872,
      -0.469498731632716,
      0.780061760008171,
      0.088262603814882,
      -0.357629361979284,
      -2.27161975082122,
      1.96290389670255,
      -0.610223306308947,
      -3.14350806301774,
      5.16849802610662,
      -1.40607834021942,
      -3.67691479686424,
      3.53491453560916,
      0.678583667131772,
      -3.09883578112452,
      2.63773804722257,
      0.0987358567596657,
      -4.73675508237523,
      4.68791960774448,
      -1.31166200803803,
      -0.159582175707801,
      1.8889494501274,
      -2.06414495097224,
      -0.22920388872525,
      1.51619890695319,
      -0.0168479697646492,
      0.617336017196639,
      -3.034641192054,
      0.351398354404387,
      1.74812768236305,
      -0.836034428508804,
      -0.73248327139667,
      2.02870076644506,
      1.20705831009001,
      -3.00862083443912,
      2.32396456126542,
      -0.595554212964901,
      1.6121289332317,
      -1.12759708983303,
      0.0691340123797771,
      -1.88088025077797,
      3.55775852752805,
      -1.94742866402686,
      0.591069751295237,
      0.826428839628483,
      -2.70537755545564,
      1.82627537890404,
      -1.81387142350174,
      -1.89455145239422,
      2.11951263236301,
      1.83672043953271,
      -2.21661824365239,
      0.23161854448065,
      0.507451455151144,
      -0.294855955144648,
      -0.0765739377218958,
      3.03263611263687,
      -2.4302137041463,
      0.0457836662891245,
      1.50609905678137,
      1.33907687685644,
      -1.14915909799347,
      -2.01586865134805,
      -0.781671845788467,
      3.34853181613847,
      -4.22973487690004,
      2.90238859007537,
      -0.373957128927817,
      -2.81296932435576,
      2.98251136353095,
      -1.03080443198544,
      -2.64700652573148,
      0.5645763360296,
      1.58053333059597,
      -0.927827124808992,
      1.39336829771204,
      -1.16579322550703,
      -0.0347320145205089,
      -0.0810934877319422,
      0.214564278878799,
      0.332280633809688,
      1.78490196169889,
      -1.17648291735902,
      -0.4845517096571,
      3.57843738237297,
      -2.74309878085773,
      -0.667180806823651,
      1.24403601247341,
      -2.2256622017275,
      1.62788596098573,
      -0.88104656706934,
      -1.68011930007234,
      4.15017552834352,
      -1.09211372484247,
      -3.42568594794993,
      3.05227343332632,
      -3.00087717089726,
      1.96434986033662,
      2.61396202788845,
      -1.56499232918362,
      -3.14232640554088,
      1.66197836839024,
      0.81858274678604,
      -1.25886845817729,
      1.4785981896596,
      0.481940083231229,
      0.710443415170453,
      -0.712019885149553,
      -0.507044523954912,
      0.888139660652602,
      -3.69987547613705,
      1.59309089182346,
      1.77659315691229,
      -1.55935338235648,
      0.666848496480681,
      0.0812993250200307,
      2.13020368111558,
      -4.13204255254396,
      1.68842632712142,
      1.27217352464529,
      -1.55187755496857,
      2.99870121341192,
      -4.34389123518037,
      1.17829706630533,
      1.48098741523955,
      -1.46251320479778,
      2.13131218844018,
      -0.336955645272169,
      0.936496478571878,
      -0.617833579142067,
      0.363656258647257,
      0.261053235645806,
      -3.40270573477507,
      3.77134532320413,
      -0.986618981489734,
      -0.895821980546677,
      1.11399972042599,
      0.0573361736483576,
      -0.381490576520733,
      0.222801940211368,
      -4.41998148058544,
      4.81880567468081,
      -2.57643743358102,
      -1.72495786830731,
      1.09475882035119,
      -2.63546044839117,
      1.11578561226684,
      1.84467804901915,
      0.272256686733761,
      0.547558030647052,
      0.975969473143321,
      1.70040510061403,
      -1.76987202706616,
      1.16910288334277,
      0.136909737819258,
      -3.72963761000509,
      5.22400073861245,
      0.306885378904748,
      -0.767874998738264,
      -0.518250760918383,
      -0.0366411574892097,
      0.305462758970306,
      -1.8141681843567,
      2.87781080555403,
      -1.06262537504269,
      -2.19817112305315,
      -2.80072078981974,
      5.28150903047141,
      -2.14092825952519,
      -0.381078491243226,
      1.39274825312748,
      -1.52609247288502,
      -0.572256772523648,
      1.37254879022055,
      -2.71034592156168,
      2.01272196795341,
      -1.71015107047995,
      5.52895737729353,
      -2.46165874073087,
      -3.44861880674199,
      1.80891081333673,
      0.376218663082745,
      -0.657947462015114,
      0.282155135143433,
      -1.95813240860293,
      1.49387135652358,
      -0.93748238702964,
      0.317150450267716,
      -1.47852921060588,
      1.79251722760881,
      0.175947565772606,
      -1.53889819455002,
      -1.09341328440251,
      3.76010099310908,
      -0.42688492895404,
      0.0116488834418273,
      -0.353443926005214,
      0.0551030262504284,
      0.892126943342189,
      -1.42469124866176,
      0.985560705498039,
      -2.4975865640347,
      3.54706252268618,
      -0.127816852741257,
      -2.17926306680777,
      0.917831956953428,
      0.0231210326775515,
      0.480689036413648,
      -0.147567419960458,
      -1.68138686656756,
      0.478262332604686,
      0.996631834139377,
      -0.980178247902414,
      1.77684215003893,
      -2.96339890466072,
      -0.0205584955676035,
      2.0794393816317,
      -1.01449090852454,
      0.41328133922895,
      0.289420511099049,
      1.27694803248214,
      1.64446116361387,
      -2.07462238081259,
      -1.9933039357599,
      -0.880153175622212,
      0.83451343383186,
      0.530725401851537,
      2.07807534176697,
      -2.29894350473425,
      0.82360021196577,
      -1.11996580445308,
      3.29890130032607,
      -3.93382632561907,
      -0.166763537600436,
      1.43177511541613,
      -2.55373039565731,
      3.09356913855074,
      -2.15134003092995,
      -1.50914930048473,
      2.80019938666285,
      -1.00253260695556,
      -0.758404262111663,
      2.59534807405454,
      -1.04080257303198,
      0.839430910903855,
      -1.08151186910114,
      -2.00933214398373,
      2.52182592317124,
      0.451277626919135,
      -0.414357300341733,
      -0.22928704788965,
      0.964660736961513,
      -0.342712201516353,
      0.719351736017169,
      -0.203494209661992,
      -0.947579424553682,
      1.22667281182067,
      -0.155611715469727,
      -1.3757805710047,
      3.57389323587457,
      -3.78527611092352,
      -0.100663515166599,
      -0.0132905415301155,
      0.424913036101142,
      0.314872176955261,
      0.033477782347408,
      1.55574254124174,
      0.507840196900627,
      -1.54420791644951,
      0.0459568989610462,
      0.226576353149474,
      0.583046399553963,
      1.98535486778143,
      -0.87599883491845,
      0.208918000041603,
      -1.06070564042798,
      -0.0958562512368122,
      -0.758745264542989,
      -0.65876116211104,
      -0.103056991904421,
      0.0000104320773966133,
      1.61143517687205e-15,
      -2.17706518831161e-18,
      -0.00401549092447944,
      2.689037401311,
      -2.63323681169557,
      1.85888255920538,
      -0.430946572035327,
      1.46203897541389,
      -1.33389974963744,
      -0.899905261095285,
      -0.310994341406408,
      1.24231515779006,
      0.291589640144707,
      0.250376683857215,
      0.880799387889285,
      -1.04934063780637,
      -3.51373511393661,
      2.34706640951785,
      2.18974888182825,
      1.61457808540196,
      -4.10766343756263,
      3.34752288081179,
      -5.14967204592845,
      1.75428447597629,
      1.15835219800041,
      -0.866580014113956,
      4.03637000931303,
      -3.58774389152007,
      1.08570416702045,
      0.803651172367254,
      -0.459970601627991,
      -1.35780143247402,
      0.743122584061479,
      -0.649901880489656,
      0.0244230557843191,
      0.0233604817717855,
      1.39937051467626,
      0.758648134174892,
      -1.73644592724656,
      -2.94884737654835,
      -0.170953725147292,
      5.31372448404535,
      -1.55160563153236,
      2.28282933166158,
      -1.53150423485734,
      0.274205712426393,
      1.0826474264582,
      0.243295377162575,
      -0.457479007429264,
      0.0290173244392502,
      -0.395714020374188,
      0.98873776976581,
      -0.645981992567063,
      0.505562314214231,
      -0.884103794769739,
      0.7789203471288,
      -0.278251284696275,
      0.254337385635021,
      -1.58266379640402,
      -0.966139642287231,
      -2.07800173564231,
      1.91860485430029,
      1.11043247829651,
      1.31226937066299,
      0.335041255884458,
      -0.7287633115012,
      1.04736261128348,
      -1.29616834508793,
      -3.27110315521007,
      0.918452283986788,
      3.66402016364676,
      -0.0464130820407602,
      -0.354234962755698,
      0.618225941823155,
      -1.00707235687673,
      -1.8212247107028,
      0.950388314661071,
      0.711816374829767,
      1.82792864839785,
      0.580902400442796,
      -5.54496763945136,
      1.09585429242678,
      1.99415250680749,
      -6.30259864383928,
      8.0419488031679,
      -1.83719100226515,
      -0.17042229147091,
      -0.243038177826679,
      0.104498182941642,
      1.30294887519577,
      -0.588397331008031,
      -0.195994540473952,
      -1.68795040114047,
      -0.816616032251365,
      2.70999072749025,
      -0.88911275831963,
      0.719368356201888,
      0.558836685216201,
      -0.622960624425706,
      -2.65589209133533,
      0.558176040835717,
      1.4829693785466,
      0.169269127723565,
      0.511247922110085,
      -1.52689695186359,
      0.949739806888776,
      -0.497947493758601,
      -0.390755459792534,
      1.94269959744661,
      -0.914239751725499,
      -0.0681307774519914,
      1.09710653654761,
      -1.21718140541651,
      -0.679633634223598,
      0.909168444255735,
      -0.0458648754754045,
      -2.19487286485269,
      0.886475602497904,
      0.781632972300289,
      -0.702607377980621,
      -0.0399920513486662,
      1.52749529364568,
      -3.20437396996108,
      2.60739624073032,
      -0.681261092493458,
      0.0259005398349927,
      1.33371186447601,
      0.610441602484271,
      -0.0634167277599506,
      -1.6100589500384,
      0.467449388141274,
      0.354540949486891,
      -0.597943139605622,
      -0.492421996812376,
      1.23170526662844,
      -0.223643729682224,
      -0.983900990033944,
      -0.32551003112512,
      0.244943943942181,
      -0.786176460613576,
      -1.54272897210671,
      2.75898129966877,
      -3.99465351093412,
      4.12404864924357,
      -1.67067187098988,
      2.39688266331577,
      0.351774551102962,
      -0.112469682210385,
      0.0185997482905622,
      -0.184317121494078,
      -1.80154461998925,
      0.747716783894292,
      -0.99113084280174,
      1.23656956457851,
      0.631169269736638,
      1.78490666949334,
      -3.02042863356227,
      1.00283416542745,
      -0.382487360621689,
      0.690657632138189,
      -0.109958435223954,
      0.528143600031569,
      0.707431994611701,
      -0.49665337451015,
      0.118005064035876,
      -0.0360117120566666,
      0.942627192517421,
      -1.58539493649426,
      0.628629668893199,
      -0.0536748825772375,
      -0.697724595547128,
      -0.402354697247124,
      0.554949111829099,
      0.790987646143582,
      -1.00339531693754,
      1.96529881244362,
      -1.8643792277916,
      0.645754332240125,
      -1.36027842350957,
      0.296354015731206,
      0.487455614281727,
      0.284456841374471,
      -0.506569784108755,
      1.92343012055267,
      -0.557947444417344,
      -1.81982690967926,
      2.3186870730558,
      0.360351773236876,
      -2.74135137070965,
      0.702949417697627,
      1.90211484752752,
      -0.173077083994436,
      -0.234939336168666,
      -1.47268417848823,
      -0.0769143453616787,
      -0.115116914770844,
      -1.07175211338154,
      0.341864936719284,
      2.49090459425517,
      -1.51583112008013,
      -0.489507398984893,
      1.72738086863499,
      -3.16763877728702,
      1.25221778284259,
      1.12555337103663,
      -1.53546369150063,
      0.135566011126063,
      3.14644348972807,
      -2.36508104832359,
      1.28650923258698,
      0.467944455675921,
      -0.808803856480986,
      -0.271424100760149,
      -0.685064925886884,
      0.216982301014342,
      -0.0562713504433673,
      -0.920550983346104,
      0.298779829110572,
      0.475004755492546,
      -1.14610621841392,
      1.06297011155032,
      -0.0467553828414757,
      0.065698227851254,
      -0.419925964499339,
      0.799249100785819,
      -0.967884336962522,
      0.240039384558472,
      1.86220778115786,
      -1.58068898584429,
      0.44253262813395,
      2.91888768880726,
      -3.33981576616537,
      1.41897744031702,
      0.521741234161223,
      -1.09475076990507,
      1.28546041217591,
      -1.71881115052663,
      0.809847037355347,
      0.610035543668479,
      0.244954718767486,
      -2.53393747547435,
      0.438176483669124,
      -1.96693371746122,
      0.593744793863813,
      -0.571628772740252,
      0.169973509046007,
      1.16558188859664,
      -0.457981626388598,
      -1.157121787181,
      2.01369737839495,
      0.0734842969369959,
      -2.72526089986522,
      0.257327265549825,
      3.07450305767327,
      -1.9373785489751,
      -0.0951234445672232,
      0.194608351931659,
      2.99826147496286,
      -5.80179147931195,
      5.24609723064532,
      -2.16802217744344,
      1.60138538472357,
      -1.63647601586084,
      1.15104409099128,
      -1.26616943249532,
      0.0657616317698555,
      -0.304079315765799,
      0.611959493513559,
      -0.581602704537304,
      -0.883699345690231,
      -0.584398315228054,
      0.0721578256142812,
      3.46054584739674,
      0.807352325264818,
      -4.75042707698719,
      3.74333081688339,
      0.221430573902709,
      -1.05490575875009,
      1.08464564760259,
      -3.26150519622278,
      2.19236264441677,
      0.335423507370864,
      -0.234953926400427,
      1.24920945503765,
      -2.5951066788714,
      1.77129063934199,
      -1.33951824654461,
      -0.874336051530483,
      0.0290214439852021,
      1.21540756686269,
      1.06339494291656,
      1.46935322330447,
      -2.90654415971018,
      2.18495582787982,
      -0.858676125820631,
      0.485001948512317,
      0.472501959125635,
      -1.98444276260866,
      2.24753491957553,
      0.616555605898651,
      -2.462689185583,
      -0.459589194070977,
      2.56144695327431,
      0.247807373451354,
      -0.763699127128089,
      0.379586473328056,
      -3.28771670711467,
      2.06695150449036,
      -2.45228241763729,
      2.07018751035725,
      0.935688630090089,
      -0.423781212696879,
      -0.358349776178619,
      1.16265785495224,
      0.755935387378883,
      -3.44234009926385,
      2.0105976945003,
      -1.12812269927428,
      0.849790758239548,
      1.28305310641876,
      -1.44312989132997,
      -0.400214991323246,
      2.10098050060112,
      -1.69825857961366,
      2.47449628795415,
      4.24842994563382,
      -2.61609932773644,
      -1.35081031400142,
      3.94206480566257,
      -9.57230798614528,
      2.64848465763234,
      0.590370602660754,
      0.166457585713257,
      -1.91099180111725,
      3.05710378905915,
      -2.07013111922075,
      2.23693647416034,
      -0.556900985393442,
      1.14475171504225,
      -1.54609850669136,
      0.598592933595214,
      -2.45859642680004,
      1.15036984281643,
      -2.50562230827776,
      2.39854232123663,
      0.824946520492268,
      -2.94841066977284,
      1.4211862048379,
      2.60386661834325,
      0.267056206047969,
      -0.606645003820506,
      0.185904828875902,
      -2.83395951724302,
      2.03758542649766,
      -1.43639879880868,
      0.74615134849261,
      0.00287332772756365,
      -1.29561183616496,
      -0.496036679416147,
      1.0804704851936,
      -1.51752391874556,
      0.873484596620585,
      0.296830705462382,
      -1.07341421670242,
      1.5826298008292,
      -0.960211845981627,
      -0.157234582813565,
      -0.101656669400533,
      1.66431231792986,
      -0.659402426232365,
      -1.68613193403327,
      1.60755120470492,
      0.661525657195692,
      -0.966755978605027,
      0.279240761376129,
      -0.212257808488119,
      1.05925168962387,
      -0.456682901229724,
      -1.13020736329022,
      0.473855393726183,
      1.04803524866208,
      -0.791781116354073,
      0.73910135343365,
      1.32380126513529,
      -1.84835985774158,
      0.864849422509368,
      -1.25215779884975,
      -1.07085496695493,
      1.55462823300348,
      -0.871520427626566,
      0.1854279773237,
      1.42932455297108,
      -2.92557610249684,
      1.06607174982468,
      2.63032953035728,
      -0.764449647567136,
      0.00928315257763799,
      -1.35569244087344,
      1.78400305352555,
      -1.13281791392086,
      -1.69335549439073,
      2.30634706504894,
      -1.62584860598333,
      -0.178550010022225,
      0.608042565507991,
      0.487890981758427,
      -3.13321571141601,
      1.9212882771159,
      1.32001048994944,
      -2.30603421423133,
      -0.259857669262033,
      0.125660935878556,
      1.04592005921072,
      0.823812009809843,
      -0.633647568606422,
      -0.167196857406057,
      1.50473874761786,
      0.358395024338428,
      -1.00998752105771,
      0.344666035339599,
      -1.16773501449024,
      1.04076219610422,
      0.298232030842135,
      -1.87020081578845,
      0.973093241968075,
      -0.32647542027964,
      -0.152501295490356,
      -1.26411799780076,
      3.30472694063302,
      -3.33646257164742,
      2.24937727200872,
      -1.6536781117102,
      -0.278700945890748,
      0.571916887611215,
      0.123197599127717,
      -1.18091352977621,
      0.380197221939709,
      0.567407163598204,
      0.791271556075758,
      -0.541865635324037,
      -0.0228209676065043,
      -0.531999773737366,
      -0.250992822629212,
      -0.594577815371757,
      -0.592557508793061,
      -0.102547956616705,
      0.0000104320161469422,
      1.61152330259267e-15,
      -2.17705240614717e-18,
      -0.0040154673483984,
      2.34368412465492,
      -3.32281955603694,
      1.06979924141278,
      -0.693292015887634,
      1.08237465662954,
      -2.34241914446288,
      -1.03113939274626,
      3.34039568617164,
      -2.06775361527897,
      1.22567066807463,
      1.81527550961192,
      -0.0503282223825484,
      -2.68441970621952,
      2.05543321487438,
      0.884422623711501,
      2.32101625883775,
      -3.28304400493157,
      -0.662262597991301,
      2.93195498937435,
      -4.13090874929402,
      2.03470268161483,
      2.75514932958712,
      -4.28177706666243,
      -0.0575873491138643,
      0.544710594335198,
      -0.0222548553871954,
      0.468217473755034,
      0.325517575157238,
      -3.29175724272676,
      1.34937521366695,
      0.997007530383438,
      -1.13090501423862,
      1.1655724384659,
      2.46087961260195,
      0.156036861419722,
      -1.09899676536868,
      -3.12505783773939,
      1.78072916982987,
      2.26532711487981,
      -1.18654206433792,
      0.407060568355606,
      -0.766885234826082,
      0.357124959814612,
      0.141551230581894,
      0.960683587144225,
      -0.142455482061229,
      -0.0565771089263341,
      0.126190495088574,
      0.52301683905901,
      -1.08320916088988,
      0.0587267159070808,
      -0.206568866776318,
      0.21945002268347,
      -0.833867117941463,
      -0.0608888302718743,
      -1.13225390207679,
      -0.179033909131722,
      0.811739822113231,
      1.88446732674982,
      0.0291804133143177,
      0.742228298846621,
      0.0470292326839404,
      -2.31077670776223,
      2.91157371302267,
      -1.1421895470006,
      -4.34353451930739,
      2.97986472632477,
      1.73291655268299,
      0.0396986279963721,
      -0.0939450733814021,
      1.87107649742274,
      -1.46709924554777,
      -3.6427854325201,
      0.348284895270103,
      1.2358197862037,
      1.82292715240798,
      -0.785182106427919,
      -1.94697764770913,
      2.03731894786052,
      -0.728154357220422,
      -0.875006030380018,
      3.00446066461667,
      -2.80876970987768,
      2.98528068182437,
      -1.35984053883133,
      -2.34785692345046,
      4.11840581553675,
      -1.87378785110261,
      -0.39995178031177,
      -1.24364931260295,
      -0.649641288871973,
      2.92588327969932,
      -2.05705983888232,
      -0.947380983586237,
      2.57092957611902,
      -1.28633551615323,
      -1.9754325390264,
      1.00032546039412,
      0.0437113019904799,
      1.00053999523605,
      -0.791581591762349,
      0.734538118186758,
      -1.35896545453166,
      0.600762936469497,
      1.12328052719146,
      -1.13904676114697,
      0.820627742946003,
      -0.266313172657763,
      -1.9915461528687,
      3.35591311612131,
      -1.49737817856317,
      0.629619909167574,
      -1.27491264374817,
      -0.957763357105695,
      0.379996708617567,
      2.23694040077761,
      -2.25748446905458,
      -0.117226124304739,
      1.89859645173662,
      -2.68729530059186,
      2.98102123848549,
      -0.331631869348343,
      -0.926216672180034,
      -1.66966888219039,
      3.79304722853393,
      -2.13764344742526,
      -1.78966699074273,
      2.96421483602102,
      -2.42303090911047,
      0.244083283937494,
      0.749977842747952,
      -1.21136050366698,
      2.05067554730627,
      -1.12736909733627,
      0.754713868996524,
      0.677422412729374,
      -1.73838065795389,
      -0.646150543461096,
      1.5954845371716,
      -2.81387447015116,
      3.60674716339736,
      -0.726192900997052,
      0.533515106969279,
      -0.571040584754056,
      0.139118811049835,
      0.180958075819563,
      -0.360991026141789,
      0.478865869135275,
      0.0618002241952031,
      -0.430176711171453,
      1.88668836931702,
      -1.50352007692831,
      1.99232028538076,
      -1.59950489423978,
      -0.413555560428111,
      1.4032239422819,
      0.0303503461786929,
      -0.883866780240827,
      1.55077781022048,
      2.37894997423893,
      -2.17655648054588,
      -0.00531958595895221,
      1.14287552194169,
      -0.935286103837213,
      -1.85807899761251,
      -0.0522825003649397,
      0.897860043340613,
      -0.384940201349518,
      -0.737427109169655,
      -0.328480380786975,
      2.05785702036912,
      -2.3424194721292,
      2.76513983877074,
      -0.142380343322549,
      -2.1019853821063,
      1.63158109600463,
      -1.18107992531822,
      -0.0630263307458748,
      1.76439416564334,
      -2.05932680957141,
      1.03267158687921,
      -0.811872688251713,
      -0.276520053673587,
      1.7252885179198,
      -0.215211694044169,
      -2.36461512474874,
      1.3984342084559,
      0.81445980080263,
      0.450378407832074,
      -2.58989037548441,
      1.07727903303708,
      0.0662951149174466,
      -0.451293741055054,
      -1.0447351707685,
      -1.62690534797108,
      2.51758476007484,
      -0.447923684837824,
      0.344192026933846,
      0.964674328389302,
      -1.91973125664428,
      2.22169452649803,
      -0.55769355339215,
      0.445257475881268,
      -1.80919074902402,
      0.881353627899005,
      0.760986594436731,
      -0.370778900214306,
      0.414280675959348,
      -1.08663628192872,
      -0.392811877275608,
      1.00499888946504,
      -0.465524889123973,
      -0.732815697878775,
      -0.212394145540254,
      0.500049779274387,
      0.930476427816801,
      -1.10494928573354,
      -0.744540571776741,
      0.517648651013627,
      -0.0454505758498171,
      1.41021509480004,
      0.112958292356208,
      -0.600306463085233,
      0.470492478741998,
      1.25048838770978,
      -0.145125113181764,
      -1.50243915324155,
      0.442770193678908,
      -0.373208446365831,
      -0.158892455437272,
      0.563147652162519,
      -0.837067317560177,
      0.935969099207303,
      -0.649612442755925,
      -1.17034546616168,
      1.10572025468697,
      1.19685801436555,
      -2.69617647129922,
      2.70565315394816,
      -3.82061798402211,
      -1.19697875156948,
      -0.135205361982705,
      0.637269459482967,
      4.09315223416172,
      -2.78386048402856,
      -3.24934097860727,
      1.41243670327454,
      2.64668382874375,
      0.27512059255342,
      -0.933908104254008,
      -0.75150644781333,
      0.156423562897853,
      -1.601409156746,
      1.42571417629401,
      1.22664550362542,
      0.227662285264946,
      1.13807358298892,
      -1.83488499937965,
      0.501729092197339,
      0.225920785070124,
      0.440765859624423,
      0.442904773289043,
      -0.425045194559566,
      0.377718056939573,
      -0.400300548035861,
      -0.502524652227934,
      -0.728944926549661,
      -0.0766809023777954,
      2.14305962914416,
      2.30161092113331,
      -0.816971984732765,
      -3.82499788857462,
      2.30858440091623,
      -0.197218748078159,
      0.564813274063943,
      -0.935499883802452,
      -1.96452848233861,
      -0.810219231623803,
      3.25694715546704,
      -4.37449296080951,
      3.51663706416068,
      -0.627872695286858,
      1.70821260347508,
      -1.44697309250086,
      0.108294179674982,
      -0.00966850679927369,
      -1.02134031964223,
      1.1707840445263,
      -0.639221201676024,
      0.174933474357453,
      -0.0105400907892323,
      -1.22942422558543,
      0.438389378462681,
      2.39559634109747,
      -0.159560419289129,
      -0.639314539366833,
      -1.37949682072122,
      -0.0109563329139869,
      1.56256686843944,
      0.477667185257449,
      -1.4516484213354,
      0.159303715465824,
      1.73186216438185,
      -3.25490786958945,
      3.23083664572292,
      -4.68940252700108,
      2.80157114128895,
      0.656364151920088,
      0.549045160430665,
      -1.48337100273023,
      0.797665111623323,
      0.846637881591674,
      -2.54286736722744,
      0.883840417594457,
      -0.959236763455419,
      1.94594396961179,
      1.14325935834149,
      0.0524814585207437,
      -1.45465448492239,
      0.400202122022417,
      -2.18002997614431,
      3.19660672557852,
      -0.536328176428136,
      -1.02902074972621,
      1.1710713345419,
      1.25773720971901,
      -5.29944872191387,
      2.08478881103777,
      1.18972552629145,
      1.33738214464776,
      -1.28043563843099,
      1.42088140374026,
      -2.01220089604733,
      1.13373142585082,
      -0.633712404349173,
      2.13240081816732,
      -2.43591872018204,
      2.13496808552217,
      -2.02641030492742,
      0.549372867967086,
      -3.24733469639095,
      1.56951997414563,
      2.31382187434831,
      -1.91808167614537,
      1.00420493053108,
      2.13343772701381,
      -2.08885686041202,
      0.598270708551532,
      0.0709483825142325,
      -2.25472040428119,
      1.77803139860555,
      -1.40916561860511,
      1.72132429012271,
      0.237254492602157,
      -0.432164132429048,
      -2.05038580613006,
      -0.674277712575942,
      2.67436853350061,
      -0.674087859544785,
      0.45451643018665,
      -2.52943287437894,
      1.89203430954477,
      0.53279163316875,
      -0.906577035189966,
      -1.52276749881918,
      2.0139228036354,
      -1.31103259213968,
      0.132985103915242,
      -0.206081459828961,
      0.581412893381383,
      0.0395951333501218,
      -0.000372473292498444,
      0.356324360460885,
      0.898023686158252,
      -0.342864317394116,
      0.385063791413311,
      0.800116529163598,
      -0.197081034822746,
      -1.53848864113391,
      1.3720119504041,
      0.577622648009598,
      -0.864265186767376,
      -0.623875517313983,
      -0.901639724351976,
      0.639738255111239,
      0.722776725681624,
      -0.102505102502911,
      -0.715454625644692,
      0.608976534926646,
      -0.431777333472497,
      -0.401211042701261,
      0.869813387280603,
      -0.922577781065845,
      0.553594044976361,
      -0.943928970726431,
      1.34305983720359,
      -0.0643369690292831,
      -0.810315612351098,
      0.741734947959174,
      0.464784006668316,
      -0.661800683646215,
      -0.4014553343234,
      0.745964264589604,
      -2.40705108537578,
      2.22709538894535,
      -0.742049739917457,
      -0.555164771699128,
      -1.04631195642525,
      1.69195608746529,
      0.189056874450163,
      -0.637016113159072,
      0.319127918214496,
      -0.286010289000293,
      -0.150245635405543,
      0.0567292579710007,
      -0.302535687114431,
      0.678377686672934,
      -1.97016539443733,
      3.27175521144866,
      0.276040192864559,
      -1.73087668009255,
      1.44871219110881,
      0.348414459863351,
      0.238885310645483,
      -1.43823545421042,
      1.82196614523441,
      -1.08804598271042,
      1.80998783389224,
      -0.65834854742166,
      -0.464432885181465,
      0.754632099427989,
      0.182426423607408,
      -1.25408641149984,
      0.0870515052754475,
      0.20190108346828,
      1.49477973250177,
      -0.587995571839704,
      0.00150814343977718,
      -0.337287913206906,
      -0.332819762354522,
      -0.528455756955703,
      -0.551568050795835,
      -0.10183754716555,
      0.0000104319303976024,
      1.61196388517997e-15,
      -2.17703451115898e-18,
      -0.00401543434196247,
      3.73753876655144,
      -1.70845798589345,
      -0.796356064250543,
      3.50451911914963,
      -0.662590227907905,
      -1.56071671997894,
      1.36786570737137,
      0.556497733793737,
      -2.53099688057799,
      1.01205008299071,
      -1.37105156932758,
      0.0306763300330927,
      0.820527000276293,
      2.09538420206313,
      -2.65182635813599,
      1.71004386668481,
      0.852878094015256,
      -2.58356666742433,
      3.21004345930508,
      -2.74755817667169,
      3.70711049310489,
      -1.23978439345492,
      0.311975171764847,
      -0.878867037281005,
      -0.73760506802735,
      -1.00326919417791,
      1.16267272742744,
      0.236281766958048,
      -2.71051093131933,
      2.56629533794383,
      0.195519547821663,
      -2.51222026447357,
      0.746784397070759,
      -0.314018483062408,
      0.196136354373873,
      -0.362161775711774,
      0.646645043462042,
      2.73072035285707,
      -3.32730623446584,
      4.10942496129807,
      -3.4823235831108,
      0.741664825048103,
      -0.595196748990474,
      1.03164136083494,
      -0.984744183215064,
      0.149757044189004,
      -0.463777951958596,
      0.478778435153262,
      0.453668602364549,
      -0.462851745885111,
      -0.161330421209061,
      0.71428727681655,
      -0.247546066334301,
      -0.0315708262037568,
      1.74034000895999,
      -0.645832200881888,
      -0.252589190278999,
      0.619433819966253,
      0.798882481482033,
      0.623808694239285,
      -1.35286115192248,
      0.501873234468502,
      -1.86701768480411,
      0.613145827726858,
      -0.407234734272076,
      0.209796417413459,
      1.22691987064686,
      -0.430506141138369,
      -2.40339788378537,
      2.03602182345667,
      0.734413318087273,
      -1.12711355888523,
      1.26518311537915,
      0.921172735594459,
      -1.01750040603901,
      -0.0663470788246903,
      -0.384134405841069,
      0.0710589804806576,
      -0.654404226795156,
      -0.44795165826375,
      1.15107715145749,
      -1.88199757742391,
      0.97075116611642,
      2.03047407012439,
      -1.26122837229024,
      -1.40587339767057,
      1.42844239955182,
      1.17562337850011,
      -3.53197648648792,
      2.31401432098768,
      3.55462993017801,
      -3.46799317450331,
      0.732308796100941,
      0.769002503046595,
      -0.969539352449104,
      0.644827861674552,
      0.784027617691483,
      -0.0962292189416889,
      -1.22191676005995,
      -1.6158438134109,
      -0.866601797002723,
      2.16989988479361,
      -2.03973600953074,
      0.829470858184268,
      0.264834666902801,
      -2.00533962871798,
      -0.198998114537277,
      1.02529736879604,
      -0.601912485018579,
      0.930765380483682,
      -0.347443710498418,
      -0.959057936830761,
      2.1432864167014,
      0.774750623813672,
      1.70320718975836,
      -2.48836821747848,
      1.27358284198632,
      -1.73949546583985,
      1.91244423220201,
      -0.224665063387635,
      0.396580806173677,
      -1.7074063815565,
      1.24249125399811,
      -1.24570594516473,
      0.697143382162929,
      -1.85651475937757,
      1.6108817949808,
      -0.679001247253967,
      -0.752737030488314,
      1.27965421804378,
      -0.39273100962619,
      -0.757471136836307,
      0.438457336595212,
      -0.221003409273796,
      -0.189871779972201,
      -0.414229243399548,
      2.16323047718807,
      3.61918217246233,
      -3.62427199185509,
      2.5640710093676,
      -3.03761242007259,
      0.756928768534523,
      -0.831226238720391,
      0.257193817471923,
      -1.07588743390553,
      -0.536934846972319,
      -0.158613353714136,
      -0.142827730404229,
      0.88081088179613,
      -1.1097016703382,
      0.222827959904158,
      0.404530330317816,
      -0.837410531581389,
      0.404019417371584,
      -0.313051828375666,
      -0.530418380306108,
      1.47880639412341,
      -0.978184076525524,
      0.781336478496294,
      1.37634755368437,
      -1.28729183302372,
      0.729951563014547,
      -2.36550349147033,
      1.16899383461392,
      0.816325903854006,
      0.220409358756692,
      -0.135274058195469,
      -1.25855730921681,
      0.697573804704012,
      -0.541985319097026,
      1.42702491519022,
      -0.859136957073026,
      -1.44112276599958,
      0.888850796002731,
      -0.304418721741242,
      -0.497372990750154,
      1.22009849091827,
      -1.45990349258713,
      0.933628696052658,
      3.45327079375271,
      -0.731635816802064,
      -0.441431235411603,
      -1.82819511785709,
      1.12133660878631,
      0.947850736377033,
      -1.143182777638,
      0.708391610516154,
      -0.0547435399602547,
      -0.607271759593518,
      0.196887866359515,
      0.308384303839818,
      -1.3892050341027,
      -0.951835022411195,
      1.98413614441519,
      -1.03195282957346,
      0.0453636683198604,
      -0.947437517457156,
      0.136138329680849,
      0.0177101529979443,
      0.271640611351682,
      -0.308476923456554,
      0.698070688745404,
      -0.0764483336379762,
      0.361071229822178,
      0.0953513970022712,
      -1.25866007603118,
      1.13521147299326,
      0.538417418058603,
      -0.535244757345901,
      0.677691584743389,
      -0.93597901028378,
      0.644244746751153,
      0.69964572658497,
      -2.47439426003729,
      0.870364950836905,
      -0.352162041536981,
      1.55618068507907,
      0.48534801783802,
      -0.508870513545263,
      -1.90390539231197,
      0.682841793936482,
      0.986467253233287,
      -1.45133306825415,
      -0.114148818719972,
      1.70239776501782,
      -1.44779528885835,
      1.30274303724128,
      0.0306933865814538,
      -0.268149199424608,
      -0.324666396233755,
      0.328481825118582,
      -0.0894640621530158,
      1.10113577185132,
      -0.658431249558313,
      0.565852231420654,
      -0.107065505085017,
      -0.766746637108918,
      -0.68764563731023,
      1.48037151416294,
      -0.354218130533117,
      0.049235197082098,
      1.21890758760898,
      -0.386115756767658,
      -0.910639109454734,
      1.3665946654464,
      0.0228035823317837,
      -1.59173030033701,
      -2.25427941732315,
      4.4131051963468,
      -1.26435293589431,
      0.25198263162451,
      -0.0843161212445125,
      0.109510058421646,
      0.108643636042984,
      -0.891544757793445,
      0.145380527569197,
      1.71825839094154,
      -2.29639926107634,
      1.32584199731077,
      -0.225742631774842,
      -1.20906638980894,
      3.17869731127878,
      -2.66957732476502,
      0.732594593803132,
      0.606071113662076,
      -1.47439315750798,
      1.85598054753131,
      -1.21630912469874,
      0.299225060714969,
      -0.572538510778823,
      -0.556673215369302,
      0.889209237663964,
      0.726586021663567,
      -1.37215684969763,
      0.36065309972244,
      0.524345863622107,
      -1.68035165252299,
      1.2332945985278,
      0.42608582748931,
      -1.5435419494546,
      0.704555252384167,
      0.935080351197716,
      -1.05012895283261,
      0.635831521306896,
      -0.796524732144348,
      0.823128291469245,
      -0.936176786439507,
      1.28709181452389,
      0.379200875704576,
      -3.2553846586036,
      1.0952767068557,
      0.96788620281573,
      -1.97952052484318,
      0.846146816919005,
      -0.369343089120049,
      0.281799607337357,
      1.3206982130175,
      -0.369701689874529,
      1.3038381321231,
      1.14646851279716,
      -0.874277036419245,
      -1.37986435286681,
      1.1651851223265,
      -1.24233988573042,
      2.20852987362485,
      -1.11220815772463,
      -1.12680980855815,
      0.166365644942034,
      0.615593729631688,
      -0.945439207786021,
      0.0202392010015022,
      -0.271625396347553,
      -0.930107608997779,
      0.875545787857079,
      0.168134576234105,
      -0.601559408670533,
      -0.0796482592303478,
      -0.373870939982248,
      1.60657233430468,
      0.387208993708474,
      0.751451787605624,
      -0.374148257478457,
      0.110141135961147,
      -0.107574422420364,
      0.333240727052941,
      -0.636570071922312,
      1.267848162041,
      -0.346162600636227,
      0.173671193400629,
      -1.18085101564656,
      -0.249598593055055,
      0.24444705993618,
      1.44258726473883,
      -1.38614723112646,
      0.623567147334888,
      1.38201403624557,
      -2.3649736714759,
      0.905571442417566,
      -0.860080024493229,
      -0.168831398039121,
      2.02584231769464,
      -0.118255513192565,
      -1.93212929750093,
      0.799528869231582,
      -0.273988140166478,
      2.32471048824438,
      -0.835265646187732,
      -1.02156072780256,
      0.344884523510056,
      -1.47308257889496,
      1.36174119324888,
      -0.148735004020584,
      -0.928946042759753,
      -0.416432073148706,
      -0.0945201940278225,
      -0.303012394470693,
      0.114623817891361,
      0.311629637837048,
      -0.11350455877777,
      -0.191742583411236,
      0.492841635550625,
      -0.890276396914248,
      1.14061093745044,
      -0.275404492954175,
      -1.2163280472729,
      1.65441701613789,
      -0.392043207196172,
      0.516473108292484,
      0.521129802750282,
      -0.121819731705236,
      -0.152220103248874,
      1.58463511009856,
      -0.119035601769564,
      -1.03499810717037,
      0.280177318826529,
      -2.44525578282107,
      0.010025188675463,
      1.74947766819724,
      -1.45999300558186,
      1.58934107617379,
      -1.51971886400983,
      -0.453062978951354,
      0.828755259481456,
      -0.358927729887651,
      0.47338216733486,
      0.0791259541230147,
      -1.65565984345264,
      1.22688562772823,
      0.62823604723608,
      0.127438044271837,
      0.645878199265915,
      -0.707275297495521,
      0.19226335708674,
      -0.21394196857071,
      0.0874840750300629,
      -0.992920339778884,
      0.870900914316,
      -1.03784619604221,
      0.15510643473418,
      -0.0857053633318854,
      0.298847621625006,
      -0.760837807115314,
      1.01832758506488,
      -0.664801723241489,
      -0.531348622123825,
      0.34989865062168,
      0.349978821222724,
      0.258099860951694,
      0.94591658922793,
      -1.15981392307165,
      -0.0555092166683093,
      -0.773438020916869,
      0.0550025932785097,
      0.209014953811991,
      0.197104867645352,
      0.685470018504832,
      -0.341677658204252,
      0.904462253792911,
      0.535899082982212,
      -0.152191799689927,
      -0.244310477162683,
      -0.749822770684529,
      -0.39980347226756,
      0.121091009517601,
      -0.0444526527305636,
      0.200084550409482,
      -0.636681473667438,
      -1.06702799809039,
      0.560648566031897,
      -0.129334641041743,
      0.241700722170714,
      0.3119199343687,
      -0.523331558964967,
      -0.0838586579888277,
      0.752392772568691,
      -0.155869332469741,
      -0.248126001479739,
      -0.294582250215376,
      -0.324452097740945,
      -0.359257664209345,
      -0.417082826609116,
      -0.52594077216657,
      -0.100927991089813,
      0.0000104318201488189,
      1.61592899041855e-15,
      -2.17701150338908e-18,
      -0.00401539190524917,
      1.56151733419507,
      -0.864900938776247,
      -1.34043044879299,
      1.14740005329849,
      1.55607478201093,
      -3.21068271450626,
      3.11210952347634,
      -2.26526039590478,
      1.2420871716594,
      1.22433317253603,
      -0.306787235331736,
      -1.71720481514892,
      2.14571177959413,
      -1.83161261679242,
      -2.26044928009971,
      3.82998384084989,
      -1.03110025017206,
      -0.392622481974778,
      0.327099415871174,
      -2.91812364072855,
      2.78304447678351,
      -0.153439470869601,
      -1.49554377092543,
      0.621375533609832,
      1.53109119573598,
      -2.25268698060873,
      1.08001721449553,
      0.836038365459228,
      -2.81778039569525,
      3.01088156679282,
      -0.227009876315329,
      -0.0606012480268993,
      1.28962793659089,
      -0.0764143609585742,
      -2.1930906025558,
      2.36298472689466,
      -1.34515903534293,
      -1.34142844909009,
      2.54646338149344,
      0.159385334429145,
      -0.716452920547122,
      0.509855536466539,
      -1.31003869807085,
      -1.34051933247355,
      1.3147915072337,
      0.339900062659785,
      0.543211636533682,
      0.207032147417285,
      -0.517255026822681,
      -0.596635279927761,
      -0.0340954160549554,
      -0.315930670449725,
      0.151098239719394,
      0.149956498753138,
      -1.06042471849535,
      -0.37717663056113,
      -0.875675712721647,
      -1.91916300965962,
      -0.689977569630732,
      4.31801891273445,
      1.43594032740309,
      -2.6529815467781,
      0.891718996964732,
      2.19056662210216,
      -0.0796867440918421,
      -0.955913991486017,
      0.125039118861053,
      1.26723838046825,
      -1.70406642245924,
      0.706537338189773,
      2.08453068002938,
      -2.42488919617978,
      -1.23432218448575,
      -0.978567475409627,
      0.675822560846186,
      0.821463575093113,
      -0.821149958661712,
      0.346480735349037,
      -0.483945809190485,
      -0.0848318105056246,
      -0.0921484379328539,
      2.17333082329884,
      -1.00543898682459,
      -0.0445728178631204,
      1.24517099063986,
      -2.03465519413324,
      2.46416779380619,
      0.0280749962820454,
      -0.581287538194879,
      -0.701189032912361,
      3.88345792543494,
      -3.285039375501,
      -0.405028314810303,
      -1.42076843901104,
      1.70277453145117,
      -0.602416919087265,
      0.0486519258162109,
      -0.908078034575677,
      0.511453775226615,
      -1.02055394529392,
      2.06296296606058,
      -0.265273224238812,
      -2.0244360641952,
      2.21754624842965,
      0.303839213431205,
      -2.11259896519414,
      2.0182283296618,
      -0.588615471212293,
      0.125274321194665,
      0.755324257404837,
      -0.956479615931466,
      0.705331925538347,
      -0.0175891914157951,
      0.228312143349259,
      0.192254390902831,
      -0.591824957297625,
      0.668095906851247,
      -1.22904718180554,
      0.0524199604714727,
      0.548126769392033,
      -0.0613083216683526,
      -0.235865217940889,
      -1.24471754889651,
      -0.341376138466269,
      2.13703432926511,
      -1.8547817177186,
      1.40836346580447,
      -0.0894575097963151,
      -0.87838495542548,
      1.61351283736863,
      -1.40343192543474,
      1.76506722600768,
      -0.818004973880116,
      -0.144752011871614,
      0.893470041038387,
      -1.91803058732077,
      1.51052628080733,
      -1.12389859035059,
      -0.175518315636805,
      -2.49150874243201,
      2.93053254887861,
      -0.793452523195567,
      0.690174664216191,
      -1.03648582209107,
      -0.200201359918987,
      0.917500311842076,
      0.13149256138893,
      1.10599446564823,
      -0.762740119705251,
      0.291432921828174,
      0.986960709697439,
      -2.13975936054242,
      0.896543111561743,
      -0.166414322843795,
      -0.569585154124132,
      0.217693645485448,
      0.697774346208908,
      -0.595900300263743,
      0.62220809511613,
      1.55565987936022,
      -1.42841468420549,
      0.703490639547466,
      -1.08713295852983,
      -1.0260051628343,
      0.231662400636037,
      0.0512838232349884,
      0.0665014725740584,
      0.453720650595927,
      0.230489669253269,
      -0.343442581834605,
      0.247721012896434,
      -0.987847607538099,
      0.446418331430909,
      0.62411759649058,
      -1.02123491992447,
      1.01946292198062,
      -0.151799684239095,
      -0.625545668447685,
      1.37153977832359,
      0.525170440972814,
      -1.46051466821512,
      -0.113149260281808,
      1.54404817796561,
      -1.35694072342463,
      0.286309119752469,
      0.677335642318632,
      -0.84221394265013,
      -0.417194964074887,
      1.09919319353977,
      0.046286205436848,
      -0.911394759825938,
      -0.251754448125388,
      0.601968509457114,
      -0.793373272562394,
      -1.3222073171768,
      1.29483250741554,
      -0.342014146364348,
      0.451781041815309,
      0.857568514288662,
      -1.12541318937517,
      0.870203906216891,
      0.408332284294554,
      0.796385027560759,
      -2.44668488757421,
      1.71687422335771,
      0.559870280309687,
      -1.43628027330498,
      0.944926837339716,
      -0.227868418379729,
      0.273756898146504,
      -0.0472864615294557,
      -0.666068805890538,
      1.17057174118069,
      -2.22152190857438,
      1.95762474324729,
      -1.6340480091668,
      1.04187540415818,
      -0.845961568825382,
      0.585511728068478,
      -0.773684661514906,
      1.30368648613591,
      -0.216297934231698,
      -0.0583300662516805,
      -0.453293226716019,
      0.797593638115834,
      0.568888089302814,
      -1.16217288738027,
      0.912964538322889,
      -0.562354246975331,
      -1.03277585899428,
      1.33085620577474,
      -1.02535386834176,
      0.93857860680439,
      0.137970954832792,
      -0.442955556298817,
      -0.61323090696955,
      -0.114419662756015,
      -0.489904227000286,
      0.685026356861099,
      0.156268059650407,
      -0.365320187203742,
      -0.26602105181089,
      0.319654710037906,
      1.66162412264629,
      -0.930161824443109,
      1.52511680070584,
      -1.9413813046585,
      -0.0489463135466136,
      0.945449114153913,
      0.162349049484654,
      -1.27408112941541,
      -0.982175071206151,
      -1.32549270693174,
      2.99511775398228,
      0.149935878631176,
      -1.79623697330273,
      0.78726499360611,
      0.547922154852123,
      1.17465103167534,
      -0.987543140863929,
      1.07836159195997,
      -1.26179359937653,
      -0.244852235857054,
      -1.18533055279642,
      0.491830881352341,
      0.0355799773216103,
      1.4659366545093,
      1.05411541548773,
      -0.691933946413168,
      1.50778597586017,
      -2.30512713183951,
      -0.967987662563877,
      -0.198004570140908,
      1.53275564198214,
      1.11067793378771,
      0.596094444462384,
      -0.885728284895384,
      -0.886796434380902,
      3.65663936411473,
      -2.39627887032965,
      -2.24068313900889,
      1.52624704812904,
      -1.81542566856879,
      1.66325682717064,
      0.936751275183133,
      -1.85247126184765,
      -1.55348588889634,
      1.20240168228718,
      0.644837181308498,
      -0.228675380267563,
      0.987732400484501,
      0.175057640813212,
      1.20650162706487,
      -2.27742497818655,
      0.711308756925629,
      -1.57069332253366,
      1.74863362322385,
      -0.280946468722017,
      -1.01718869433223,
      1.02821910452547,
      -0.0772633469936491,
      -0.938384693506036,
      1.91107478103693,
      -1.5997085439223,
      0.553024797173537,
      -0.704488371055978,
      0.0664628677500067,
      -1.13202726411379,
      1.12263320463752,
      -0.710881284770329,
      0.959330614454264,
      0.0585809509041637,
      -0.0691371988825485,
      0.674654972638556,
      0.90516473163473,
      -0.780254809379432,
      -0.896589219156125,
      0.287324582003322,
      -1.19681999818196,
      1.9645898697185,
      0.346621064717712,
      -1.3701872629874,
      0.594898301538167,
      0.602745576033532,
      -1.04410508294282,
      0.430898363211935,
      -0.136772071300025,
      0.969689431060573,
      -0.134761643403194,
      -1.33125364102827,
      -2.29828612533098,
      2.8625136259212,
      0.513398861453567,
      0.231986385427206,
      -1.51108896306351,
      1.93010002393735,
      -2.19066034137357,
      0.933279209012443,
      -0.409055670238589,
      -1.13198336488621,
      2.84885803733692,
      -2.60726176979906,
      0.283626783184042,
      1.8170711979393,
      -1.60793012783099,
      1.01781606345484,
      0.249617001016166,
      -1.25394156574473,
      0.986089483786142,
      -1.97537890928779,
      0.917052353659376,
      -1.91456588313557,
      1.20762449091522,
      0.269182968173246,
      0.916987690562428,
      -1.9669292890159,
      0.19887948581711,
      0.837598796696357,
      0.639541886309293,
      -0.00194447635157393,
      0.126027766868638,
      0.721468228116481,
      -0.636184868832363,
      -1.11318779121885,
      -0.726113843650519,
      1.11152991365675,
      -0.829388677291583,
      0.698691349632622,
      1.05529860520739,
      -1.89146841499486,
      0.624328221387922,
      0.64552284820662,
      -0.635123157529569,
      0.999784327940167,
      -0.0156328717473324,
      -1.45497508383143,
      1.4235845468128,
      -0.0291436135714922,
      -1.36597353725229,
      1.18232902996287,
      -0.8793609520571,
      0.816213085001603,
      0.253108381816137,
      1.13542829584703,
      -0.966465575248079,
      0.398622862167049,
      -0.409264015803937,
      -2.11032831834774,
      2.16706231547787,
      -3.18674768767738,
      2.85360410580419,
      -0.579938238480273,
      0.0891392494491048,
      0.815652959267116,
      -1.742839141509,
      0.502400675489984,
      0.879414982645427,
      -2.87580521721532,
      1.85864644646164,
      1.38152930715248,
      -0.520969873684289,
      -0.282584700634475,
      0.0592078869029439,
      -0.0287321178550552,
      0.216506896097215,
      -0.480592956547329,
      0.513303655961688,
      -0.179809119983989,
      -0.309062526915191,
      0.0522355977099102,
      -0.776415860904163,
      1.6606996587704,
      1.00232785923046,
      -1.41835956913349,
      0.0222252773118332,
      1.71527315689997,
      -1.20303346927898,
      0.566752877666295,
      -0.77626861732589,
      1.11805722609594,
      -0.876385950448329,
      -0.106231755856813,
      0.941299791368425,
      -0.338208853139649,
      -0.982409709772101,
      0.414270980914302,
      1.19261090234684,
      -0.363694642752807,
      0.0346798061875919,
      -0.0721940822926359,
      0.671989268081988,
      -0.091827639185937,
      -0.316319968378968,
      -0.571566798556785,
      0.705940242084213,
      -0.203161671854922,
      0.422774391797738,
      -0.493662183226504,
      -0.380021301665206,
      -0.293256679941641,
      -0.359641473152175,
      -0.497493961347728,
      -0.0998221347312901,
      0.0000104316854007845,
      1.61196393630824e-15,
      -2.17698338289148e-18,
      -0.00401534003835812,
      -2.64295872253131,
      4.12497453570803,
      -1.03545433028534,
      0.812398910025167,
      0.975121044406696,
      -5.32360183783312,
      5.76165180310274,
      -1.14365180161881,
      -1.56803736061707,
      2.57694575446971,
      -0.344336994358943,
      -1.13951791303282,
      1.4222880509175,
      -2.92249557291282,
      -2.33063255950409,
      3.53106544231756,
      1.56509299235146,
      -0.122005714451018,
      -0.537876448186387,
      -0.966951185376655,
      -0.659201248329288,
      -0.511673520650739,
      2.84585229311018,
      -0.978978397839879,
      0.515403064905458,
      -0.147888201650208,
      -0.0385494385272754,
      1.60404408257077,
      -4.62286066163532,
      4.33123437437066,
      -2.12520383102728,
      -0.787565701074451,
      1.82815602315464,
      0.297339164945771,
      -1.28773738833537,
      1.70540274867529,
      -2.7085376037815,
      -0.504807942299861,
      2.62964830339959,
      0.957424171073815,
      -2.92986749964162,
      0.899804552315374,
      -2.20440283812673,
      3.36555115418287,
      0.545659755158139,
      0.509108867654959,
      0.28801774961997,
      -0.126866606536008,
      0.0295345199220543,
      0.0271314854912151,
      0.0476797661208111,
      -0.0681697392476377,
      -0.359327834895745,
      -0.218780748042172,
      0.939724731084162,
      -1.22970111596457,
      -0.0958804603357514,
      -0.857551343885264,
      1.22765296414284,
      -0.460783623111388,
      -0.267732366774752,
      -0.687390502609098,
      2.48000652559693,
      -0.705218840265235,
      0.670531836604277,
      -0.940081952599115,
      -0.476726974133405,
      0.270230244812532,
      -0.727207675425064,
      1.20188626313047,
      -0.249847010661779,
      0.0133766955545245,
      -0.284006033598368,
      -0.648610478968272,
      1.18793380000709,
      -1.1566630767057,
      2.88810751922596,
      -3.14436224776454,
      -1.33328520869165,
      0.820612662710212,
      0.838852985738909,
      0.71779092220223,
      -0.226944806083241,
      -2.18074223666484,
      3.40851022811458,
      -0.665164328243767,
      0.375465458763875,
      -1.01785419405879,
      0.3958030359269,
      -0.123349694244136,
      -2.24102376045028,
      3.08240253283943,
      -1.25445721708792,
      1.66236864922471,
      -1.62209766674531,
      -0.623780085056775,
      -0.105606182780211,
      -0.716217038347373,
      1.90192946907612,
      -1.25371504174728,
      -0.627691359646416,
      3.0859436702544,
      -1.42575587523834,
      0.726926829064947,
      -0.162979382243188,
      -1.89702739521537,
      2.24425256258653,
      0.215203268863253,
      -1.13780303849862,
      0.98542876469731,
      -0.959334832757686,
      -0.125261005437458,
      0.880326193162608,
      -3.77974107158956,
      0.819059448100029,
      2.01948622862314,
      -1.53274638307083,
      1.51748526259619,
      0.0617224381497493,
      -1.62071673828135,
      -0.315124079013795,
      0.625976933321702,
      1.93446221211528,
      -0.885609853211863,
      1.82014740854488,
      -1.37844431133445,
      0.814927119770076,
      -0.982939431920067,
      -2.81960957321066,
      2.13507735344956,
      0.42651952323541,
      -0.921986169476304,
      2.04266088938455,
      -0.991132343997691,
      -0.283139281946144,
      0.14320793038,
      -0.169746607784378,
      -1.33712002431707,
      2.00043066793518,
      -0.730140879411441,
      -0.13551077376525,
      0.01574441731282,
      0.617571413186376,
      -1.83427399011047,
      1.58667631150699,
      0.863486429349225,
      -0.375956947717041,
      0.229496541159534,
      0.620152863625331,
      -1.71819217032254,
      1.00936134397742,
      0.281275523812325,
      -0.921545346201776,
      0.532262310587717,
      -0.329433316975857,
      0.0698386565430556,
      0.64010153384894,
      -1.30136748178413,
      2.12988365600369,
      -1.14800844547194,
      -0.396746800244756,
      1.1421418404469,
      -2.33639809101359,
      0.822672026535654,
      0.0303193887895895,
      0.322394772074691,
      -0.487532161566248,
      0.544040866617021,
      0.576252646335887,
      -0.54469346581548,
      -0.0684037892426426,
      0.3486976224314,
      -1.37645409824831,
      0.887342976375967,
      0.293293450779831,
      -0.979122560050206,
      0.909622402597052,
      -0.8056185177575,
      1.81494647989653,
      -0.770859938410049,
      0.0626237270128086,
      -0.071818117538666,
      -0.201222184232379,
      -0.0738387384887596,
      0.516313031796085,
      -0.943313936610611,
      0.224037634776103,
      -0.229197134600384,
      0.845294313176163,
      -1.38792871577781,
      0.793140860395242,
      0.308631649663788,
      -0.37390058477508,
      0.271026084951449,
      -0.433804340860981,
      -0.57377132072313,
      -0.0453273292101348,
      0.705773971684039,
      0.527983422163209,
      -0.753387610366079,
      -0.276198099101823,
      1.54728993936391,
      -0.15387113295188,
      -0.827043976846664,
      0.256213975284385,
      -0.00608895243330601,
      -0.00438647522741591,
      -0.306060191937343,
      0.319946488150607,
      -0.764782269780689,
      0.305183878204233,
      0.827449231043754,
      -0.952869641972913,
      -0.581432167293598,
      1.13849585750881,
      -0.916204745581069,
      1.13455627123542,
      0.187330652817169,
      -1.18337559558854,
      0.303319869606085,
      -0.477021564802184,
      1.15127563875353,
      -0.555261396356714,
      -0.785819329352826,
      1.47966470735106,
      0.530466048153162,
      -0.65993909138711,
      -0.105703807075997,
      -0.330144070809419,
      -0.72690921479026,
      0.653139896783255,
      0.531230875096417,
      0.0116903972511011,
      -0.833433753365627,
      1.36266571497715,
      0.471994245194804,
      -0.791642562165895,
      -1.01860196995394,
      0.511775111347724,
      -0.820385828538631,
      0.235092354388084,
      -1.35699334716919,
      -1.23036992893337,
      3.29031067836715,
      0.0698018946205198,
      2.14014014530696,
      -5.18656975804548,
      2.99616574371552,
      -1.17711273538819,
      2.02191488593879,
      -0.69853399018577,
      -1.44325043149147,
      1.4199182356123,
      -0.137000985423317,
      0.269940244888678,
      -2.59399144056972,
      1.61917745956187,
      2.14370273846895,
      -1.28647729738286,
      0.71136806300685,
      -0.498230795155501,
      -0.751094030571062,
      -0.154863601655999,
      -1.54004053139347,
      0.362717101140772,
      -0.343504694560857,
      -0.560658440643464,
      3.67796310912434,
      -0.849329707711631,
      0.827620975778946,
      0.00962215540150816,
      -0.774409423361831,
      -1.184971855361,
      2.04055969078003,
      0.704032854124247,
      -1.14943793003862,
      -0.834400490050161,
      1.14641494230792,
      -0.354871250201822,
      -2.28000824250682,
      1.53519748538278,
      -2.09070567181995,
      1.35065044005736,
      0.759402322327792,
      0.883915559619027,
      -0.584472483111414,
      -0.273308976866232,
      -0.108233463236905,
      -0.0457143986885996,
      -1.48968098413196,
      2.6183815323264,
      0.204757690030821,
      -1.18355417624834,
      0.718772273761233,
      -0.658038604414759,
      -0.381463723785143,
      1.13699426171566,
      -2.59090098794571,
      -0.854921355100277,
      1.87734110833841,
      0.321708536886286,
      0.0508837728457707,
      0.258329631716149,
      -0.745267883814714,
      -0.387112569951752,
      0.31317841957287,
      1.18611420633736,
      0.792028218710751,
      -0.682547883110903,
      -0.377562818731066,
      0.277947359934135,
      0.613093084196696,
      -5.68271501475098,
      5.40191620680523,
      0.451588063013705,
      -2.10521579665305,
      1.34179065951326,
      -0.265724257526447,
      0.460787878131599,
      -1.25017066764852,
      -0.444734771769682,
      -0.000896201012868496,
      1.41964249239481,
      0.778582521473595,
      -1.68133588893495,
      1.66403444632783,
      0.416626111257383,
      -1.9749346560679,
      0.328398536635306,
      1.35085145895985,
      -1.86192019322278,
      1.86743405050234,
      -0.419646331836733,
      0.0301039638362265,
      -0.0534962956987263,
      0.856166749726283,
      -1.4577914144574,
      0.89148879679071,
      -1.48031403625449,
      1.02072136781345,
      -1.49445905766986,
      -0.0577693306178984,
      2.44320284005731,
      -2.27861342007916,
      0.36162727445997,
      0.348755112619958,
      0.300034389174058,
      0.720828323439551,
      -0.233956484046861,
      -1.30494823143055,
      0.74907806576197,
      -0.186270320491618,
      0.11014271740593,
      -0.627800157475056,
      0.902627252927095,
      -0.553959441524767,
      -0.128006506735195,
      0.203256083665229,
      -0.929204699688288,
      1.72913344218503,
      -1.0612759341974,
      -0.747072745028876,
      2.13161270134501,
      -1.92387593953643,
      2.04205919838502,
      -1.02879164381222,
      -0.999623783420579,
      0.593137870402128,
      0.887439831232145,
      -0.667321642580315,
      0.198868902251858,
      -0.832677397342209,
      0.835917960287371,
      0.548984443469076,
      -1.11994535368641,
      1.11176255641275,
      -0.640442580065268,
      1.83301078929888,
      -1.24555803633505,
      -0.492934015523588,
      1.17110846477055,
      -1.57000561083976,
      1.02379638035226,
      -0.80445809460682,
      0.444893704167405,
      0.813700430169772,
      -0.740938351382162,
      -0.856950175342635,
      1.12292514170057,
      -1.64290211510078,
      1.33378832147455,
      0.410272186414594,
      0.201613370849132,
      0.109436582379616,
      -1.28709055364595,
      0.209618160663642,
      0.830649102041474,
      0.735713417929489,
      -0.976328993653644,
      -1.26564429875925,
      1.84536722600418,
      -0.846622768839864,
      -1.22390997393188,
      0.139192115834976,
      0.174621736005251,
      -1.27637905854973,
      0.052672225773957,
      3.24369546282124,
      -1.2654099037601,
      0.217648124696924,
      -0.196711722041342,
      0.365563921879943,
      -0.525213351945396,
      0.0949357611896282,
      -0.215643472403826,
      -0.289829526893888,
      0.198259474701956,
      0.129199545435754,
      0.408980224842195,
      0.441625348048451,
      -0.411315834697584,
      -0.743620585481752,
      0.313359708435803,
      0.725410608314602,
      -0.825809660162745,
      0.208343362467631,
      -0.628627392256548,
      0.358774235784181,
      -0.65291893945413,
      0.401867841153638,
      0.287394881662078,
      0.758090291962472,
      -1.29675339334149,
      -0.640303547980316,
      -0.310871600840412,
      0.541554849958017,
      0.351840026923539,
      -0.262770238064579,
      -0.417542628004423,
      -0.103462592959409,
      -0.277320273470197,
      -0.464194948220927,
      -0.0985234301738926,
      0.000010431526153881,
      1.61143529191062e-15,
      -2.17695014973223e-18,
      -0.00401527874141118,
      -2.59750350419809,
      1.71001171690848,
      -0.0699842672523557,
      0.834917317064765,
      0.980291308856521,
      -1.93285420118508,
      2.01214108878868,
      0.0662382063096284,
      -1.41497129823969,
      1.44743111728663,
      0.790375287463553,
      -2.87052184530027,
      2.57623764622933,
      -2.55588159354419,
      -0.957331343603476,
      1.61592013048819,
      0.44708419774507,
      0.934600866760954,
      -1.67335517906682,
      -1.76404849805469,
      0.164363029460726,
      1.01406057090275,
      0.121963009229854,
      0.135053029817742,
      0.480479146944484,
      -1.31753945688413,
      1.44708228501795,
      -0.177396751475147,
      -0.0339941050507267,
      0.871630318264933,
      -0.508557428471649,
      -0.266948898599924,
      1.0655424483855,
      1.25012982901326,
      -3.02354366272049,
      2.66864490614658,
      -2.99596439928487,
      -0.839161423328996,
      3.71186975258202,
      -1.52672093247943,
      -2.56130622329503,
      1.64602441890954,
      -1.94538426052303,
      1.0894012559776,
      2.18617643528063,
      0.938330937880891,
      0.207528210734079,
      -0.161004576584311,
      -0.355261978134673,
      -0.618235160036759,
      -0.00282885829743978,
      0.422698390004968,
      -0.921104922177506,
      -0.24535226844855,
      -0.539434384758377,
      -0.916712688754464,
      -0.295700251800629,
      0.139642038476166,
      1.89256823528722,
      0.439067818675165,
      -0.141757029380879,
      -0.565305055282822,
      0.170533207798497,
      1.69685417760586,
      0.203815780559848,
      -3.14652530112449,
      0.947380549266258,
      1.55839493368279,
      -0.24053138303262,
      -0.240226264774238,
      1.49205924398312,
      -1.29124045102747,
      -0.680921402954361,
      0.862616463060922,
      -1.36843347222607,
      0.427591086808202,
      -0.149579224381641,
      -1.83533350895862,
      1.76343665402786,
      -0.343838827539799,
      -1.71797047068702,
      3.39010030994225,
      -2.13211376005653,
      0.774673674253111,
      1.17307447823369,
      -1.51557667300636,
      2.99413746469256,
      -1.98976214152747,
      0.859007179111733,
      -1.0808948443258,
      -0.574178710141439,
      1.49191437236974,
      -2.2593105930577,
      2.11241510604232,
      -2.15720814184419,
      -0.895470969495907,
      2.23572062847432,
      -1.50072539073266,
      0.204704961515952,
      0.308920969154633,
      -0.736640783852907,
      1.71102177106818,
      -1.51545878432625,
      1.40653054296916,
      -0.45174097103923,
      -1.4560712364181,
      2.31821920183113,
      -1.37036536419262,
      0.577364809553577,
      0.248309986220777,
      0.0228933248252691,
      0.0917998240316204,
      0.0274641956359485,
      -0.339086448997368,
      -0.735122578492531,
      0.918278819089101,
      -0.554090859702257,
      -0.40772286908571,
      -0.242835203077721,
      -1.04443374249864,
      0.850210058274923,
      -0.711358763410343,
      0.880468813610976,
      -0.426042217494673,
      2.34050142199939,
      -1.53470905313121,
      0.717348757726553,
      0.260067091829052,
      -2.76762910102214,
      2.06736056031784,
      -0.893487159220101,
      0.252982900604816,
      1.52732357771346,
      -0.189411904505531,
      -0.102017313404899,
      -1.31497462329494,
      0.893420964152992,
      -0.713431543416604,
      -0.586413097093515,
      1.40396730464367,
      -0.671315594764252,
      0.790469497081748,
      -0.725586781891458,
      -0.737431226157092,
      0.494602393380971,
      1.21700538970653,
      -0.254306083873069,
      0.254417561611754,
      0.140941351145773,
      0.0316290989452905,
      0.609862171695407,
      -1.3930478478006,
      0.711320701160965,
      -0.168263322786933,
      -0.31349109827402,
      -0.440219700373092,
      1.01915766957029,
      -0.552675963776197,
      0.486628768965284,
      0.549047743315149,
      -0.377892391279085,
      0.269323556640948,
      -1.48089436271355,
      0.336763401948974,
      -0.462261598631296,
      0.577515983323649,
      -0.205470448213999,
      -0.217116072558693,
      0.606356680260014,
      0.238804263941798,
      -0.532837107263217,
      0.0146754681408088,
      0.298418034220367,
      0.270196778576369,
      -0.322495962052857,
      -0.332958924508585,
      -0.0557895277796374,
      0.112935741217437,
      1.27850108222496,
      -0.623203022198209,
      0.34275910311155,
      -0.977323234157271,
      -0.148483177837702,
      0.195603781749563,
      -0.175018817248753,
      -0.228093868864145,
      0.483709498042787,
      -0.333192753794976,
      1.02408439849724,
      0.0965465012378271,
      -1.52667040906641,
      0.729821863135639,
      0.40745483916513,
      -0.979645152717485,
      -0.0724106984420287,
      0.472636276836948,
      -0.238369278916316,
      0.12726258347124,
      0.810441817365593,
      -1.88332508270787,
      1.0051808069182,
      0.865659196074158,
      0.626310893841187,
      -1.2365234185984,
      0.907554110757007,
      -1.08680561202774,
      -0.100640693973957,
      1.21711518665604,
      -0.315341322282864,
      -0.0567736901428923,
      -0.475578864382037,
      0.500738088562105,
      -0.295547902976715,
      -1.15561817598427,
      0.247816795643448,
      0.662859040915034,
      0.05126725489452,
      0.361754561345446,
      -1.3724973178843,
      0.739046150836457,
      -0.249229958711621,
      0.384112588775099,
      0.086708911362413,
      -0.00696013740635961,
      0.682184272808843,
      -0.0633171336483019,
      -0.274802128175773,
      0.260481585044364,
      -1.26770110111162,
      0.697996614983134,
      0.37933672099113,
      0.105490322299593,
      0.315376270999619,
      -0.768468248212952,
      0.282327982419007,
      0.454108889812117,
      -0.653088264086031,
      -1.15496183393502,
      0.928715199528135,
      -1.14851138540156,
      0.299726806201142,
      0.163067727791216,
      -0.318921050087598,
      1.08202774716467,
      -0.284970488220791,
      1.66321125798102,
      -0.986931062212325,
      0.43700544016166,
      -2.29754693640175,
      1.25237905595342,
      0.386806334791619,
      0.664211447244147,
      -0.777645185261936,
      -0.364846893855494,
      0.331544345128636,
      -0.535898925122206,
      -0.365421818878968,
      1.10906649510989,
      -0.447139979361401,
      0.758756632566041,
      -0.579641881449731,
      0.0702986046722915,
      -0.350640308855286,
      0.517254805770161,
      -0.345767386666962,
      -2.10864788481955,
      2.43551127125483,
      -0.138616978323599,
      -0.105058704554326,
      0.427680128286615,
      -0.00396920646715743,
      -2.27633058872277,
      2.14424506992324,
      0.329155512574765,
      -0.310905227266641,
      -0.688067903185797,
      -0.490593799874333,
      1.82058292743518,
      -2.46250644070387,
      0.622940755189944,
      1.063521778553,
      0.366747094659471,
      -1.02047071959447,
      -0.166644841509559,
      0.509132387100044,
      -0.114243177292424,
      0.437342327363655,
      -1.03063731202326,
      0.346921988935764,
      -0.317385916491135,
      1.92446384241296,
      -1.1612583133362,
      0.442986949664438,
      -0.285969892333632,
      0.476590009670912,
      0.774728686995828,
      -0.755073777487184,
      -0.903921228331363,
      -0.0890965167122867,
      0.306565198703887,
      0.394809876440937,
      0.360044452589718,
      -1.19992817916104,
      -1.06560239782364,
      1.88058384023723,
      -1.11358424377503,
      -0.218427397696079,
      0.75133357813721,
      -0.110168891741666,
      0.22372414020683,
      0.922286481361096,
      -1.49366571596445,
      -1.73125281906073,
      2.47896495988013,
      0.149111641169975,
      -0.974723215651873,
      0.50945153171901,
      0.658354525484676,
      -0.00872807503969442,
      0.621208172085215,
      0.103974301682773,
      -0.30079733840182,
      0.697596885983213,
      0.990794312882622,
      -0.859568617393111,
      -0.0987341527589471,
      -0.762337546265763,
      0.971651661660526,
      -1.73323208166273,
      0.454195980127524,
      -0.007368204671783,
      0.701387075965975,
      -1.13685387092548,
      1.7564432923603,
      -0.966028655926148,
      0.126084230208345,
      -0.617592950979743,
      -0.0549911895601182,
      -1.53338271325335,
      1.17192828765395,
      0.986510150640113,
      -2.8543826406151,
      2.40662252588038,
      -1.57649236994683,
      0.616868030120419,
      0.141403017418248,
      0.716777930710681,
      -0.140875542172092,
      -0.415563402155462,
      -1.23559823367377,
      0.548625988005232,
      1.15279259281018,
      -1.03679827200674,
      0.246521127459859,
      1.05593302515822,
      -1.21404268595349,
      0.714081528174078,
      -0.893205532815984,
      0.55255038954299,
      0.929529499152015,
      -1.06088673896685,
      0.532599496233984,
      -0.248716713100358,
      -0.122578129374808,
      1.29002895451001,
      -1.2591830058524,
      0.910378497162009,
      0.103807712672479,
      0.110924290994156,
      0.335848091121355,
      -0.535455135962089,
      -0.666249296295472,
      -0.120949947402857,
      -0.392865428186295,
      -0.0516423552728578,
      -0.126692871239354,
      0.147280404936235,
      0.840500043936023,
      -0.300621681214227,
      -0.0820074110802408,
      -0.249026104730311,
      -0.873167339760021,
      1.64500024173812,
      -0.281286485341987,
      0.232687830604278,
      -0.450851427593203,
      0.559661538672444,
      -1.05960427964287,
      0.565545016441997,
      0.414001213492178,
      -2.12673761268457,
      2.34948287963681,
      -0.509140103133608,
      0.753638705162255,
      -0.14881865576089,
      0.080615722999805,
      -0.642425534689493,
      0.384112882640812,
      -0.739666512186636,
      -0.402586009487961,
      1.01677771397364,
      -0.498184806091884,
      -1.24573591376771,
      0.0930587273599188,
      0.538136958821511,
      -0.397498285743496,
      0.0624379564291121,
      1.40249129336804,
      -0.352892471867919,
      0.15448483964909,
      -0.00630321206976415,
      0.544147603221105,
      0.278284102239903,
      0.145406986787728,
      -0.349860826760806,
      0.242603183589105,
      -0.978996539124307,
      1.18018060645653,
      -1.30406783525642,
      0.889698340391573,
      -1.01148175568872,
      0.0150986411206793,
      -0.0182388719593864,
      1.68373554363154,
      -1.8557175871191,
      0.849934163446697,
      -0.962028613098579,
      1.81681249576816,
      -0.817254512279388,
      0.413881362078857,
      0.870038729968486,
      -0.216214069929833,
      -0.558606552838273,
      -0.612101325561198,
      0.161999648024545,
      0.532834162180088,
      0.552512165280077,
      0.0686805383829956,
      -0.363646877954324,
      0.0489929005535078,
      -0.129553801058747,
      -0.436542428402172,
      -0.0970359194637788,
      0.0000104313424084615,
      1.61143533025637e-15,
      -2.17691180398939e-18,
      -0.00401520801455228,
      -0.629442025603026,
      2.49226055399754,
      -0.944508065771883,
      1.41800834126891,
      -0.537818499956113,
      -2.07039197566823,
      0.746133730805506,
      -0.493577587557494,
      -0.758898499986621,
      0.742238108252859,
      1.68385953795082,
      -1.04235588766208,
      1.4307049804707,
      -2.76111971742894,
      0.375519506496414,
      1.30699236449099,
      -0.308596158504332,
      1.83348135594951,
      -0.132351476999096,
      -2.26784946124729,
      -2.7456608670378,
      3.83812064062635,
      -1.1688276612274,
      2.2687772086866,
      -1.7246208489227,
      1.25697561602692,
      -0.498435773756043,
      -0.310363671861149,
      -2.11664045148172,
      2.06817361003691,
      -0.893941043250152,
      -1.52719513203174,
      1.4219175849069,
      1.3729808217364,
      -0.196849464167157,
      -0.0386210774052576,
      -3.19279876961454,
      2.2497108245021,
      0.985615823375856,
      1.37916079272384,
      -2.49675609088331,
      -0.0760406241522952,
      0.736231538574519,
      1.54987919447341,
      -0.0601532234819275,
      0.682568238360551,
      -0.0915577606440184,
      -0.411846202825801,
      0.484660431830827,
      -0.293492944101099,
      0.122808553342995,
      0.222146587179981,
      0.365053362008197,
      -0.376324759001351,
      -0.331085660049219,
      -1.38076081371402,
      -0.961823370499014,
      2.73536250698932,
      -0.733379092879756,
      -0.962259192700544,
      0.162538083038406,
      0.411663073627475,
      1.48344067090897,
      -1.19184205077135,
      0.312423243905606,
      -2.69571127308338,
      -1.35666644213381,
      3.62531908002083,
      -0.568857653758839,
      0.617641199835665,
      -0.14987332156224,
      -0.79577764558179,
      2.82113864882307,
      -0.734716907927146,
      -0.984808281083542,
      1.06957179044083,
      -1.38039876407617,
      -1.25739402972286,
      1.41106989111893,
      -0.200728266935048,
      -1.80109320374636,
      1.36873816479305,
      -0.292416066331396,
      0.68010782356,
      0.579498339213056,
      0.0916810375293094,
      -0.437984639099043,
      0.856382819936947,
      -1.16790448581922,
      2.03512196406657,
      -4.71488992911836,
      3.90885771138388,
      -1.07782040199554,
      -0.300115123115858,
      0.276392395668271,
      -0.0182375474585664,
      -0.917524887477137,
      0.614868775270052,
      -0.589688421379013,
      0.522273949884793,
      0.378086443644244,
      1.00530620019954,
      -0.285392751291277,
      -0.00307854166944375,
      -0.888294401367517,
      0.33653070859128,
      -0.88077896441609,
      0.419955072668584,
      -2.06921629140191,
      1.50108018039341,
      0.767637429817744,
      0.342452765241601,
      -0.983820516473292,
      -0.733297335345762,
      -1.30036724366972,
      2.82278728791975,
      -1.72792502604413,
      3.43815045213028,
      -1.85618857940174,
      -1.51255346257179,
      0.299048185785158,
      1.20606140783333,
      0.407806956661183,
      0.81922148852501,
      -0.579387862419204,
      -0.106590284463235,
      -0.297086181385154,
      -1.01620498603415,
      0.458008143738477,
      -0.810378435352822,
      0.569660096515464,
      -0.344644415673725,
      0.0569323523664611,
      1.10243216834348,
      -0.413587227343936,
      -0.827531091077175,
      -0.305512302047004,
      0.512827062251019,
      0.373264383038955,
      4.70493884014616,
      -3.93327694714063,
      1.55720620742947,
      -2.31740479554783,
      0.281227948865035,
      0.512620918040194,
      0.48356461361764,
      0.0901104266816944,
      -0.919699129156623,
      1.20620049357061,
      -1.18815490730454,
      0.996176174788422,
      -0.286570347742981,
      -0.596452739284755,
      0.259773972291153,
      0.225546804779133,
      -0.509890760228899,
      0.768715968962598,
      -0.841294247588691,
      0.70967757473754,
      -0.0579624934374138,
      -0.333715993336432,
      0.301927962072956,
      -0.192894181840629,
      -0.198745085725882,
      0.369977950603826,
      -0.496894319966994,
      -0.158113278040123,
      0.414532458633614,
      0.270556249569816,
      -0.0623702906618116,
      -0.933663238866046,
      1.21305856527428,
      -1.17014725792069,
      0.431344475878397,
      0.354216085822694,
      -0.672626415153126,
      0.39033399969785,
      -0.118434355669382,
      -0.0344918012010018,
      0.75115262792353,
      0.00917042098519673,
      0.0631130292704784,
      -0.614234200116457,
      0.222026919539381,
      0.308632974954799,
      0.132104728192609,
      0.178273406946987,
      -0.452014608972475,
      -0.0870956091822607,
      -0.788461765575906,
      0.791709348514362,
      -0.219822386906115,
      0.00777562759513909,
      -0.150130949243998,
      0.344140929235381,
      -0.679584440413541,
      -0.217924520973552,
      0.228787639414099,
      -0.201462625407521,
      -0.243006845986919,
      0.12212623208713,
      0.557338370799989,
      -0.50771685507825,
      0.727527586748773,
      -0.869484374273878,
      0.650033086192789,
      -0.139323903529002,
      -0.666175628292407,
      0.75652476064383,
      0.244675969863794,
      0.457480105574346,
      0.122023126597462,
      -0.0145265307600185,
      -1.22115110912639,
      1.03371464406534,
      -1.07681187183434,
      0.441545323254388,
      -0.210416184569323,
      0.591961118468188,
      -1.33850392188721,
      1.1488248844695,
      -0.421691917833343,
      -0.440232135586373,
      0.270908399081075,
      0.245827866763729,
      0.483522465635418,
      -0.020094121311088,
      -1.2233557045423,
      0.948623717182664,
      0.0337206789534002,
      -0.166782775533424,
      0.0655012461229096,
      -0.431569833106952,
      0.500510674576696,
      0.165656549544516,
      0.0880924373663641,
      0.110587061221392,
      -2.44975202428072,
      2.42542652043437,
      -1.04652373247195,
      -0.415986033746135,
      -0.237013960048427,
      -0.603016062711777,
      1.57645076517964,
      -0.600554209111025,
      2.55324291365115,
      0.475583086119639,
      -1.90145594708784,
      -0.460015957165623,
      -1.22027759912261,
      4.0872381515737,
      0.019609505131178,
      -1.03379811259414,
      0.00866642043509101,
      -1.26175406374031,
      1.19954141591969,
      -0.754270320432383,
      0.318919042148903,
      0.119930210930404,
      -0.155996755455265,
      -2.27959449257947,
      0.552174364918275,
      0.678124077186884,
      -0.780343979918967,
      -0.514594492996435,
      -0.246189788727582,
      0.422496684045325,
      1.01271580975669,
      -0.547476033434136,
      0.345983102529589,
      0.56427680745672,
      0.148526341465687,
      -0.496018870337058,
      0.926752064837623,
      -0.698316500791627,
      -0.48174474071681,
      -1.21326268051526,
      2.03898865494177,
      -0.844570400171116,
      -1.41955957989126,
      1.72752693693433,
      -1.63215327998103,
      1.27944307764437,
      -0.799807279202851,
      -0.397466579302273,
      2.19354308319124,
      -0.706442731147199,
      0.447037568816732,
      -1.50151994680614,
      -0.158541720552959,
      0.186436932589709,
      -1.57231378645305,
      1.6936321193856,
      0.761271407641818,
      -0.290081863905573,
      0.158185473577075,
      -1.27624409567739,
      -0.57621655974452,
      1.08788622887889,
      0.253335592725037,
      0.597028033711881,
      -0.0792653773024731,
      -0.448083929723346,
      -0.0670168292947884,
      0.204638252058492,
      0.0185445510379057,
      -0.314593810562906,
      1.63406230748554,
      0.525230649120218,
      -1.66989826284517,
      -0.759723100779229,
      0.802033156677891,
      0.212279485508161,
      -0.836172314765649,
      -1.73019226294593,
      2.73397467261963,
      0.275819378649676,
      -0.892030812840919,
      1.43226668149375,
      -1.07065826080613,
      -1.74622405403374,
      1.79550326327806,
      -1.86419046045882,
      0.877527246753262,
      0.55744697374691,
      0.208621245118938,
      -2.64693488569907,
      3.42773451446271,
      -1.80899637901078,
      2.96414747834439,
      -2.37424852219085,
      0.844176802376761,
      -0.506773477692266,
      0.345153226164586,
      1.22255118625568,
      -0.768775905618796,
      0.138709442684595,
      0.817871819399856,
      -1.93028742974235,
      1.25448207627049,
      0.486734483129053,
      -2.34944040233399,
      2.8770350554993,
      -2.29493292777919,
      0.624821780312917,
      0.399758283859953,
      -0.801047526854903,
      1.55727185854035,
      -1.1225790138634,
      0.546886319505534,
      -0.128551707331982,
      0.43827052678894,
      -1.56344885942415,
      1.31972057393066,
      0.297984570155969,
      0.0505624336574185,
      -0.100277656559254,
      -0.496959057307475,
      -1.69040352792639,
      1.95789937998903,
      0.17504308450032,
      -1.76504142142029,
      0.969689239054389,
      -1.20186440878888,
      2.25569930108499,
      -0.380554969436641,
      -0.484611162621988,
      1.37981157211017,
      -0.190106494404889,
      -1.12553865714015,
      -0.454294827782146,
      -0.168348693536746,
      0.658423005742393,
      -0.265803047969032,
      -1.19829243172013,
      2.78453088536103,
      -2.37882373467704,
      1.18096010145955,
      0.0209788598933857,
      0.135492356551325,
      -1.25900908946123,
      -0.494421175337164,
      0.906474530741298,
      -0.339169489197863,
      0.215578362491468,
      0.369720475083998,
      0.218805753706586,
      0.521815004760151,
      -0.031728265366597,
      -0.90886637721941,
      -0.18705307106959,
      0.353928091199552,
      -1.38591888045069,
      1.49521420625681,
      -0.41545954967421,
      0.184775907501256,
      0.478032949933329,
      -0.163057310231415,
      -0.0492961901987897,
      -0.49344705176903,
      1.8404394729949,
      -0.819166879553035,
      -1.10299332915904,
      0.412472379054772,
      -0.686057142788013,
      0.466859398105677,
      -0.720153969876033,
      2.10536564306196,
      0.0509510151959793,
      -0.183421074101999,
      -0.099347807933453,
      0.753310662252115,
      -1.44113046333732,
      0.437809528723204,
      0.0444692322186348,
      -0.507707028891615,
      0.425404369311317,
      0.502884145123011,
      -1.4552995967736,
      0.0465617346971565,
      -1.21054526030414,
      1.58420385444378,
      -2.10463100070171,
      2.2200773305135,
      0.468372575531164,
      -0.777238810577351,
      -1.95196372177984,
      1.56885836177369,
      -0.4866443268178,
      0.0822614852746541,
      0.118521040434828,
      0.95501336427976,
      -0.583823343549317,
      -0.420699983700317,
      0.375955341784675,
      -0.98084316262239,
      0.694690467800399,
      -0.191959195928325,
      -0.21016182190118,
      0.0615796436381991,
      -0.0480697969415329,
      -0.417993274569941,
      -0.0953642162178023,
      0.0000104311341649552,
      1.61178782546845e-15,
      -2.176868345753e-18,
      -0.00401512785794753,
      0.66640339622642,
      0.20812562269851,
      -1.32713913461256,
      2.22778213839353,
      -1.37372238096347,
      -0.399364347234921,
      0.215530290675974,
      -2.66152780343901,
      1.42486670790028,
      1.3247093596953,
      1.17813415901413,
      -2.31849934983492,
      2.9715892078963,
      -1.32325972894142,
      -0.884676010538268,
      0.367901826314279,
      1.30848436453127,
      -1.38176506247914,
      0.535084395590137,
      -1.34386976954364,
      -1.24694857353502,
      1.35519250178599,
      -0.125878634149169,
      0.0973056658137267,
      1.06740610079065,
      -1.59269185120251,
      1.53069592172865,
      -0.0157428984020931,
      -2.2562198428621,
      1.29563452954012,
      -0.68470813755709,
      0.91287100860382,
      0.57330722351419,
      0.399107436451777,
      -1.18789660553644,
      0.770991586547525,
      0.0831753868149736,
      0.249714764241501,
      0.275340023250412,
      1.50121264363764,
      -2.39721934127165,
      0.158167637399156,
      -1.31464473299205,
      -0.20842185398125,
      1.24878921837412,
      0.0276490472015445,
      0.819485562553272,
      -1.166508457517,
      0.706510468281471,
      -0.450384267994988,
      0.101957960709097,
      -0.0454420187162557,
      -0.50792920331625,
      0.567727808447808,
      -0.216258948246449,
      -0.474243345818167,
      -0.710125902945376,
      0.254783542832654,
      -0.766824065501014,
      2.34863662726846,
      -0.0531849930258159,
      -0.0460635447470882,
      -1.13139530354154,
      1.52832054142414,
      -0.641702661888607,
      -0.22538114385551,
      -1.36906056449985,
      1.53168730201859,
      -0.517249376501837,
      -0.595283660910224,
      2.30627844668875,
      -1.73407440857325,
      0.392225973511259,
      -0.146805479981664,
      0.247426770936516,
      0.0490282283890185,
      -0.326163248585985,
      0.541341174210035,
      -1.60140380251677,
      -0.456765087355357,
      -1.28373543382483,
      2.70875795699034,
      -1.27560682614187,
      2.68892994295834,
      -1.97492263079452,
      1.47382649960592,
      -0.478020977113401,
      0.244939445861403,
      0.00596319833475857,
      0.526677876310317,
      -0.0694652476722928,
      -0.102104556226031,
      -1.82074630506812,
      0.713364746229085,
      0.337384224832431,
      -0.0180005560220092,
      1.47497504277578,
      -1.67199422305214,
      -1.36545516596213,
      1.12942956544784,
      1.03403138351163,
      -0.663621897907852,
      -0.625927148150073,
      2.14824424130792,
      -1.0779103446464,
      -1.10021761892631,
      0.944942178994914,
      -0.849028398734248,
      -0.416786998032051,
      1.5753499748921,
      0.0889904352684057,
      -0.207361777543116,
      0.842083148551641,
      0.190909765815088,
      -2.35480463331909,
      1.58753674961251,
      0.0172649539403917,
      -0.170086985714754,
      0.438772363526038,
      0.317603766598419,
      -1.76602256494781,
      1.48584821598727,
      -1.7014904644493,
      1.22573734682496,
      0.539433812283844,
      -2.08400131459152,
      2.7693074328959,
      -1.78831035872764,
      0.171697850751252,
      1.01674626973788,
      -0.66748136205273,
      0.221564302847656,
      -0.337522955318436,
      0.454948948166482,
      0.0858017047788566,
      -1.57408392592474,
      1.36909718207396,
      0.766350131332303,
      -1.76498164763003,
      1.23817835858509,
      -1.03161273194677,
      -0.290654225157728,
      1.24386888680673,
      -1.60561975056645,
      -0.615405333984042,
      1.18411456496978,
      0.0761423444470503,
      0.446421314589926,
      -0.766778899743588,
      1.20548784423084,
      0.753053177658759,
      -2.12534373139299,
      1.73659523727372,
      -1.13665239650633,
      -0.118892358678303,
      1.27214873458349,
      -0.38666255604266,
      0.127156310623077,
      -1.3343667843596,
      2.40787138034371,
      -2.06569223625973,
      0.544360445433786,
      1.24165728619046,
      -2.2855758202734,
      0.63288060086791,
      0.512576501948044,
      -0.516144568295837,
      0.268428993308897,
      -0.362310858010381,
      0.674349135502911,
      -0.646557516351985,
      -0.467003205331484,
      1.36435802318284,
      -1.12753408055454,
      0.00489038710991034,
      1.20277212816726,
      -0.48544749022568,
      -0.383621440058368,
      0.18175976651167,
      0.714699352466429,
      -1.09424890732576,
      -1.00141894567241,
      1.46353451176916,
      -0.774406823406819,
      0.104639965117113,
      0.688729685530814,
      -0.360156318121156,
      -0.552544325657749,
      0.504458687431292,
      0.160349534411631,
      -0.751614029543984,
      0.873207351456633,
      0.225268339701524,
      -0.950753689734581,
      0.573680655986556,
      -0.642383866476309,
      0.439368078281972,
      -0.0678313880304123,
      -0.0635815500792309,
      0.401207944363718,
      0.727781377399792,
      -0.929848701511972,
      0.516254950343212,
      -0.71729500057542,
      0.521774508836059,
      0.0998851976561023,
      -0.623562093308972,
      0.514970472461639,
      0.0528492201576156,
      -0.084815217060742,
      -0.153036439281431,
      -0.145299700036966,
      0.483838448655426,
      -0.26079560916367,
      0.283240519407598,
      -0.541774491761645,
      0.270396744820405,
      0.238133471724335,
      -0.606141223424794,
      -0.0693320221923674,
      0.932732054737644,
      -0.523352979846213,
      -0.0628010313458836,
      0.276840364830222,
      0.0729559313325759,
      0.489217819228391,
      -0.830269524567571,
      0.344501290680004,
      0.0718200142266989,
      -0.833448176391111,
      0.630146721093009,
      -0.94304262370409,
      0.838237301515119,
      -0.0287575591455254,
      -0.288525789408692,
      -0.108710743771185,
      0.0179368561766702,
      -0.785111986624662,
      0.822028700580892,
      0.63807707894068,
      -0.162349487240813,
      0.594252927774055,
      -0.855775250065004,
      0.391160516448675,
      0.0949071197752112,
      0.539833197517611,
      -1.54988430600407,
      0.927840289654348,
      -0.0564260224086448,
      -1.87288989907464,
      1.47528716979803,
      -1.67845423032877,
      0.201542733200351,
      3.60909059148799,
      -2.35895180077901,
      1.83775304349513,
      -1.93047370662497,
      -0.549377840589878,
      2.11718029481676,
      -2.16586809271972,
      -0.121824978599009,
      1.93706557747386,
      -2.70997176274663,
      0.978246131164669,
      0.627621510830937,
      -1.25057083129912,
      2.05779440777566,
      -0.212961060228479,
      0.25420381058394,
      -0.600845570501522,
      0.423608768787103,
      1.46326075036801,
      -2.72513091386295,
      0.508580491222505,
      0.548161449558777,
      -0.348472129033751,
      -0.616958410531664,
      1.31073312137588,
      -0.458985842300804,
      -1.1790448750395,
      0.388417089080581,
      0.774750348675228,
      -1.05823938630089,
      0.595681126885621,
      -0.655300974304104,
      2.03973252831324,
      -1.15370856627554,
      0.251732362419221,
      -0.259833554335652,
      -0.129469087400606,
      0.127009571563409,
      -1.91366502031658,
      1.30403542454778,
      0.601040001642144,
      0.288361084286515,
      -0.500731446207126,
      0.939315501519343,
      -0.179127192302651,
      -1.5011750622131,
      2.17144735463788,
      -1.54551978418427,
      0.864867476610352,
      -0.784584659606722,
      0.338463316518635,
      -0.51990842389903,
      0.819166495722654,
      -1.62368568818477,
      0.561271193791084,
      0.67674437577627,
      -0.850360528741418,
      0.920788950467884,
      -0.550228973538322,
      0.841341444373177,
      -0.215501453620662,
      -1.4510209688247,
      1.65490468743549,
      0.03749071859517,
      0.436345977773991,
      -0.780249148101031,
      0.710697410113267,
      0.0999729075596272,
      -1.19991429647047,
      0.941551357694169,
      -0.24125025749624,
      -0.271198672349958,
      0.152133157646492,
      -1.3750853787498,
      0.512759477342795,
      -0.649220343612511,
      0.595483596075943,
      0.440982828759534,
      -0.639192916552175,
      0.36023778453654,
      0.230802241563792,
      0.200138943546634,
      0.5554809730893,
      -1.24697855211284,
      0.166211784348054,
      0.299597131493951,
      -0.438360512443296,
      1.7599409534527,
      -2.98159885603691,
      1.16916466472584,
      1.29687170045933,
      -1.53500851985074,
      1.18283222112803,
      -0.62872168968962,
      -0.614881294257646,
      -0.178135704678232,
      0.969284785519376,
      -1.83665472478136,
      1.80803399497157,
      -0.0478920253997399,
      -1.19231554613812,
      0.858757052975134,
      0.39726734956823,
      -0.128012474276273,
      0.276592603399423,
      -0.00706861976870769,
      0.548936413968012,
      0.893021345167837,
      -0.985815985476778,
      -0.305265555844345,
      1.85835870436081,
      -1.70579382411902,
      1.26904950109149,
      -0.395606512503842,
      -1.60645691621075,
      1.42836482013358,
      -0.172761866730717,
      -0.10313264964077,
      -0.531110397380429,
      -0.187677645959444,
      -1.18094523117903,
      -0.0822201588143548,
      0.339693975497801,
      1.35211997525679,
      -0.984491519630977,
      0.199357098032581,
      -0.0121862156359631,
      -0.70135390262615,
      1.70186373596253,
      -0.737580005211157,
      -0.199282984271485,
      0.202971796632664,
      -0.0601656506433102,
      0.138792344524122,
      -0.907826417156316,
      0.734536072750802,
      -0.73841172064459,
      -0.0798560409047904,
      0.384306576233373,
      -0.336444023559174,
      1.30002516654762,
      -0.409895066270442,
      -0.846678289934523,
      -0.223088436591832,
      1.24187028177554,
      -1.14009038753452,
      0.811537803652859,
      0.204528338716301,
      -0.0893973669084751,
      0.42069885355255,
      1.27816027102041,
      -2.02636177066513,
      0.715485935990683,
      0.0906584638651887,
      0.226098664342737,
      0.257532967142209,
      -0.907699222245086,
      -0.632448197757791,
      0.926911736696602,
      0.66080103477631,
      -0.0926559950749997,
      -0.778019068254544,
      0.572692428860106,
      -0.32848454633894,
      0.8971955636682,
      -0.943831432006838,
      -0.504832528217999,
      0.844513112297277,
      0.537874865450828,
      -0.0548505725924305,
      -0.249201546192908,
      -0.526654023087625,
      -0.137267147992915,
      -0.645175891290008,
      1.21791119235589,
      -0.00936358876329676,
      0.565599755385274,
      -0.22314542083683,
      -0.0190682862800965,
      0.107138798657757,
      -0.117638058129241,
      0.266635770304579,
      -0.910940631117398,
      0.702181566235263,
      -0.0141363679758051,
      -0.141508495250485,
      0.0780359481597929,
      -0.0145422579711239,
      -0.399590630078991,
      -0.0935134847448172,
      0.0000104309014238763,
      1.61575295626988e-15,
      -2.17681977512514e-18,
      -0.00401503827178521,
      1.08754755981455,
      1.70682283513012,
      -2.14193951181266,
      -0.893051647837631,
      1.61287772357581,
      -0.805312561067273,
      1.51559847846047,
      -3.2476095402512,
      1.45177789607137,
      0.819612374712173,
      0.466671717891311,
      -0.768231478898642,
      0.581870533810365,
      -1.48406993249586,
      -0.551473595296031,
      0.734996358033948,
      1.2364311662544,
      -1.00191862807305,
      0.409560118418033,
      -1.08299946795538,
      -0.968371802226041,
      -0.412219475034953,
      2.19400160329811,
      0.845615660057037,
      0.488122015106925,
      -0.68345175940161,
      -0.505375450518195,
      0.590607178496778,
      -1.02197332177198,
      1.94427559374431,
      -2.13558644869401,
      0.866354264019297,
      0.359294603237657,
      -0.244200464718883,
      -0.653312189942655,
      0.809699782075245,
      0.435549986180449,
      -1.5246759770362,
      0.935540763940224,
      1.90812759320756,
      -2.2530944543965,
      0.867068698740958,
      -0.717686589274346,
      0.897053188455929,
      -0.330035314882905,
      0.495983163367755,
      -0.0187761467645769,
      -0.613396295144174,
      0.35772503542235,
      0.17348362901886,
      0.11136923543181,
      -0.162627989118478,
      -0.154550250102454,
      0.249397939920912,
      0.256396579210301,
      -1.51506595541333,
      -0.584560335069973,
      -1.03789438037062,
      1.22351816438484,
      0.807319875106499,
      0.161965302804567,
      -2.15394841079169,
      2.90262458997686,
      -0.186823574820268,
      0.166236618592929,
      0.0232365481343328,
      -2.18800843403189,
      1.4881300864314,
      -0.52149544716872,
      0.394914021934183,
      -0.629669333167752,
      1.30541215361885,
      -0.452874420027192,
      0.617321657240435,
      -0.796729588061797,
      0.21075752801368,
      0.928070079633836,
      -1.10980451929898,
      -1.61662496712531,
      1.63364258718125,
      -1.57733342742461,
      1.4005036104359,
      0.402686490635221,
      -1.89512349369257,
      1.678612726476,
      0.228726880175759,
      0.306066743854947,
      -0.455700674620151,
      -0.211222270597425,
      1.82189325263514,
      -0.763535456215515,
      -0.246999945833771,
      0.593934078544014,
      -0.329074973523271,
      -0.638114349005419,
      0.974202060144274,
      -1.66614178962344,
      -1.40494328477125,
      2.51583205699868,
      -1.16088394611251,
      1.29257111097315,
      0.44921366545597,
      -0.483850115347506,
      0.470799659148198,
      -1.0503585450095,
      -0.252022024078597,
      0.350686996268207,
      -0.434112165522372,
      0.240341766779859,
      -0.00746534571419956,
      0.11344003008606,
      -0.401417438171876,
      0.133257611360985,
      0.467275118021153,
      0.00275795005271009,
      -0.679827301684244,
      0.614943602335921,
      -0.170821028461117,
      -0.487026881640408,
      0.87343280345304,
      -1.06434125772648,
      0.210729986600135,
      0.802535071670352,
      -0.60265170606005,
      1.21367160357539,
      -1.0656225445671,
      -0.0626423128262091,
      -0.542951452427742,
      0.344790964819152,
      0.520667674993531,
      -0.487178297772673,
      -0.0787681590762302,
      0.101536592867236,
      0.739501477447382,
      -0.765522615357679,
      0.218335939901393,
      0.262816576598134,
      -0.197890571390195,
      -0.701792338662924,
      -0.253767446995951,
      -0.126139449358698,
      0.88862389533118,
      -0.0479429417488656,
      0.0163069640527808,
      0.0626573220723375,
      0.871863241945139,
      -0.0622327750789777,
      -0.91754235773563,
      0.964899192040091,
      -0.703641077269061,
      0.482066067997084,
      0.0778899339132223,
      -0.759376263728705,
      0.31037802723369,
      0.13497909644565,
      -0.275826588570273,
      0.638366838986221,
      -0.660321617095291,
      0.266105718553035,
      -0.299485958544917,
      -0.377698875556212,
      0.943535807612265,
      -1.08567856759476,
      0.716119308384207,
      0.12434018812386,
      -0.261825866135045,
      0.305743290831069,
      -0.329688448118299,
      0.319783106948087,
      -0.0245227943029543,
      0.0471479043686936,
      0.461811833444016,
      -1.16862451317288,
      0.228181187881806,
      0.54005295199968,
      -1.2150224053547,
      0.833640635789976,
      -0.350961503597344,
      0.397269890357683,
      0.0867924996569493,
      0.824152417941651,
      -0.00711326093492411,
      -1.24438927074706,
      0.35852768796399,
      0.507779482398695,
      0.0359760196974336,
      -0.26529783453336,
      0.108316837320348,
      -0.0508457811033069,
      -0.268723932553103,
      0.404446061849643,
      -0.24748317039796,
      -0.377122215207568,
      0.692984942393073,
      -0.684921167383964,
      -0.270338475685742,
      0.339074918541787,
      0.0686734576320103,
      -0.245779824336953,
      -0.382299230951578,
      0.0359809552892469,
      0.776860490437425,
      -0.574698601448083,
      0.864329318545128,
      -0.660759090042967,
      -0.402229746369549,
      0.204667748220358,
      0.153619823703284,
      0.893912700665323,
      -0.0723786088042476,
      -0.92716662612343,
      1.34206889858286,
      -0.249590107045854,
      -1.34677238443971,
      0.264473727131941,
      -0.34965533985208,
      0.814840790374087,
      -0.977579765546374,
      1.03175167917263,
      -0.809982672507269,
      0.394477267494917,
      0.572183737417192,
      -0.775590280698264,
      0.126715284966834,
      0.690045003145857,
      -0.488305368736993,
      0.644749146236989,
      -0.836384381195932,
      0.31473259449064,
      -0.216669651173107,
      0.20674559807741,
      0.190514707274377,
      -0.344506799869502,
      -0.336421501829941,
      0.923270589664106,
      -0.590914992447396,
      0.310674896788174,
      -0.11569451633403,
      0.666618532252101,
      -0.791695825892502,
      0.536096635876843,
      -0.723567058588686,
      0.242773220638423,
      -0.628155362139287,
      0.458326533817,
      -0.668039388803138,
      0.0451747423205295,
      0.462410482118716,
      -1.16471601012887,
      1.42557590263152,
      1.3440052800582,
      -0.74484900244239,
      -0.499499369620256,
      -0.78211804932809,
      0.47670148786525,
      0.0792206997769188,
      0.302276089614134,
      1.46025749021078,
      -0.660087194342233,
      -0.0160177236302771,
      -1.33256296926669,
      0.71115461262424,
      -0.632429318503825,
      -2.68346132360371,
      0.300697125773386,
      1.56471248268625,
      -0.318282362343643,
      2.33604343595694,
      -1.46999696542317,
      -0.336263388916553,
      0.761940258960155,
      -0.293999825262435,
      0.861021919568497,
      0.332088069199821,
      -1.21646595731671,
      0.6114712445153,
      0.431005308289478,
      -0.0655913400186363,
      -0.654936449440836,
      0.574421664849888,
      0.0743660698055255,
      -0.253401511611237,
      -1.65561412727377,
      1.28244921584379,
      -1.41759539941388,
      2.42388895396534,
      -1.25212367901117,
      0.813666491140623,
      -0.718567076964011,
      0.881533168058539,
      -1.26111424609836,
      -0.337283913523424,
      1.37695373337872,
      -0.115436737316802,
      -0.532374655794483,
      0.577968633934232,
      -0.0318093276216308,
      0.333194961118882,
      -1.5009289067482,
      0.40533660351484,
      1.26209129527955,
      -0.544588966838012,
      0.329648610535628,
      0.720263405137374,
      -3.95160117160874,
      3.14034626041096,
      0.269832146481233,
      -0.198866713292942,
      0.423995446025751,
      -0.886593554756941,
      0.397302057127819,
      -1.06441068942324,
      0.996367309614869,
      -0.466115860495397,
      -0.56734735000601,
      0.573658761545865,
      0.427691601227021,
      -1.05935545464341,
      1.24323543478509,
      -1.07580502533872,
      0.440526307042979,
      -0.479964944220001,
      -0.895281653993905,
      0.568717840235009,
      -0.0859888977164094,
      0.283744521337994,
      -0.683566947125777,
      -0.570802277559361,
      1.44487903154985,
      1.32622042950419,
      -2.15149660303217,
      1.31366462336975,
      -0.00335896510894692,
      0.776082051887686,
      -0.00142298642503541,
      -0.383847968371455,
      0.173002287410739,
      0.57923254063859,
      -0.488498242531147,
      -0.0719357526899715,
      -1.9263321132054,
      1.67209002876729,
      0.613248430363011,
      0.741563491716644,
      -2.17546825560892,
      0.970591720402181,
      0.680633795634538,
      -0.44667834044411,
      -0.0642011964535581,
      0.110651591602802,
      -1.16662995047343,
      0.837389635712151,
      -0.846018906701765,
      0.322147688444993,
      0.355517066738552,
      0.0609151586442319,
      0.307164449282,
      -0.922386813592523,
      -0.245393242328809,
      0.762992444359801,
      -1.61907673475057,
      1.65382271658945,
      -0.373140199168682,
      -0.995558438461648,
      1.06950159748107,
      -0.118688030337939,
      -0.160943973365194,
      -0.377840388163446,
      -0.811940985730341,
      0.461531563580734,
      0.394003300902102,
      -0.896300219185584,
      0.81348623886705,
      0.105456709164382,
      -0.042946914936281,
      0.617306454165182,
      -0.647738853827804,
      0.554495929610425,
      -0.104757589243266,
      0.383569731417684,
      -0.277823587744298,
      0.962671012585221,
      -0.51357974761423,
      -0.293046107037046,
      0.157301598467817,
      1.29695258294804,
      -1.59376805122414,
      -0.250773092856861,
      0.600897225589953,
      -1.40641380284347,
      0.750779426887543,
      0.67680085651878,
      0.616606674365614,
      -1.04899344760067,
      1.01140355494089,
      -0.526868990202373,
      -0.455250163493851,
      1.1344493881357,
      -0.856583882980007,
      -0.64249634399207,
      0.908659758336356,
      0.275848960527017,
      0.00721395793027359,
      0.537807304257008,
      -1.96749031452832,
      1.46875628493002,
      -0.844953125985613,
      0.45260599916449,
      -0.263190160721309,
      0.264998193045068,
      -0.100879070355123,
      -0.052855701053747,
      -0.499098000581885,
      0.978667321628829,
      -0.813058790685739,
      0.431817252127922,
      0.406631434043195,
      -1.1930328554944,
      1.08759920511254,
      -0.85978329672964,
      0.501167857758062,
      -0.164706266819778,
      -0.250933821545115,
      0.386468218680634,
      -0.378263284651735,
      -0.0659772464778463,
      -0.896268912164295,
      0.775145432551016,
      -0.328560266754336,
      0.49409125693398,
      -0.336925662386819,
      0.564604691538424,
      -1.11215685284002,
      0.764933580933915,
      -0.0997329921746134,
      -1.10271283657263,
      0.712717600612743,
      0.14406480620592,
      -0.176985187905262,
      0.0654758343634272,
      0.0667222978346507,
      -0.374165673687087,
      -0.0914894168203944,
      0.0000104306441857036,
      1.61169981478352e-15,
      -2.17676609221985e-18,
      -0.00401493925627563,
      0.523253627876225,
      0.63442567093951,
      -2.09982367277242,
      -0.496988639787373,
      1.38075630045821,
      -1.45561092214662,
      1.81115957086621,
      -0.165051886929395,
      -0.401904249089882,
      0.263957112348152,
      1.74322896372782,
      -2.42659884636848,
      1.73720424156501,
      -3.01667596374689,
      0.495734724799876,
      0.513599778757966,
      1.64223789551232,
      -1.64008362154365,
      0.573324842753966,
      -0.935873457946996,
      0.657803230771838,
      -1.52744461282256,
      2.49755363652392,
      -1.75913028928913,
      2.24097424039391,
      -2.17927431025585,
      0.241866187582455,
      1.08010117015257,
      -0.612897230319752,
      0.857563695491132,
      0.246785849588569,
      -1.35053468202457,
      1.17816253642341,
      0.894819467485137,
      -1.61788870467361,
      1.62339214845256,
      0.256581909827107,
      -1.61817778207073,
      1.2792686910486,
      0.28690320204817,
      -1.29682499404769,
      0.524847962303796,
      -1.23946211943954,
      -0.824358126461326,
      1.82242686524904,
      -0.15284267501159,
      0.42012024676552,
      -0.266202342672228,
      -0.128496965994975,
      0.187829091333822,
      -0.201058103014738,
      -0.47961166287198,
      0.214902538476568,
      -0.318051134948908,
      -0.868889358873879,
      1.11293271868206,
      -0.883671662385069,
      0.267737875337972,
      1.67114330753675,
      -0.981270965794335,
      0.22334515010761,
      -0.56869815995863,
      -0.549306762333299,
      2.02327204362258,
      -1.03475695274402,
      0.0467815857664507,
      1.09837027452085,
      -1.30032838282385,
      0.0801351876948521,
      -1.04594838410514,
      1.33691299450711,
      0.35633164366713,
      -2.48137042614798,
      1.26019209425257,
      0.17890698072656,
      -1.20162403095764,
      1.53098402698767,
      -0.352422733951392,
      -0.320946095410995,
      -0.544369798098309,
      1.19834989779526,
      0.260561519804189,
      -0.535965910345308,
      -0.401572684813877,
      0.933137433309438,
      0.202820576524443,
      0.40354089131746,
      -0.568989043606476,
      0.470970429499894,
      -1.85309066769874,
      0.990297216129604,
      -0.540116158376331,
      -0.38052258730518,
      0.843766115264635,
      -0.244520545888056,
      -1.12835147728413,
      0.361700451160796,
      0.126463218831244,
      -0.980021813053625,
      0.601246708816325,
      0.970089859405911,
      0.070756605783405,
      -0.380047236772251,
      1.0480507402667,
      -0.309667414864816,
      -0.84483704431915,
      1.89275258418508,
      -1.1628615940828,
      0.570386319645703,
      -0.228797078332153,
      -0.514525586251896,
      0.851436095984813,
      -0.648792688789311,
      -1.89556807890679,
      1.37886086597316,
      0.0155519943310938,
      -0.287857824091878,
      -0.84750535277784,
      1.20702289833958,
      -1.10807565076183,
      -0.177878339162048,
      0.668821982592247,
      0.282976808094469,
      -0.0695967974208873,
      0.849786535345419,
      -0.965416481754598,
      1.03213537866286,
      -0.40939928906376,
      -0.920902657923054,
      0.782094609577013,
      -0.272608990965158,
      -0.405242332428605,
      1.02825933725234,
      0.0596769205643732,
      0.0451857326171126,
      0.0597727196914938,
      0.0481078758950095,
      -1.16166014142711,
      0.39655477120856,
      -1.13718655808246,
      -0.144491966307479,
      0.682876629843799,
      1.13464979989572,
      -0.589765927734821,
      -0.323936497934262,
      1.0337336545947,
      0.0806388141397637,
      0.095122542230028,
      -0.931089474704272,
      0.50265686131993,
      0.605804424650539,
      -0.824113991201562,
      0.461143932997716,
      0.198951016804681,
      -0.434523797989156,
      0.177477282329064,
      0.270996392838041,
      0.30373236867701,
      -0.846753518230947,
      0.0329574619957941,
      0.162413303735792,
      0.240073736896626,
      -0.47690698367111,
      -0.155931878295649,
      -0.0444755529115539,
      0.607596331235502,
      -0.732641880284217,
      -0.684397782003387,
      0.927183424363645,
      0.465958942915776,
      -0.737523740402897,
      -0.079461426533596,
      0.230213479657186,
      0.878940818117983,
      -0.667953009828873,
      0.0790324433968203,
      -0.133473413574058,
      0.468376791190447,
      0.160222667664531,
      -0.313956842230504,
      0.764111573005396,
      -1.37864526409776,
      0.026411717753682,
      0.467156530403275,
      -0.639803995065798,
      -0.2490701446455,
      -0.185614222850876,
      0.160637986887675,
      0.289522252891605,
      -0.0084442664031622,
      -0.210954084795384,
      0.579046926510737,
      0.491131743053401,
      -0.98521146747209,
      0.405690647924874,
      0.489327232756415,
      -1.1843029315082,
      0.358658977350707,
      0.927736705778818,
      -1.29530864758492,
      1.22135120115295,
      -0.118643911704175,
      0.09329675848936,
      0.0136184118404614,
      -0.719683701851431,
      0.625390195817002,
      -0.574765925176757,
      -0.138196605494654,
      0.318608000202531,
      0.205191290150136,
      -0.108090736953959,
      0.332140114912221,
      -1.0654380078652,
      0.524811584553756,
      -0.999534056400636,
      1.56467156696884,
      -0.190950187884878,
      -0.34790156354626,
      -0.343734888103505,
      0.562390098388831,
      -0.162367375204255,
      0.0528827288224892,
      0.412710483474349,
      -0.394368074523577,
      0.325881322999175,
      0.466962734329278,
      -0.600907856809901,
      0.232997527946039,
      -0.812152695690166,
      0.338702863034705,
      0.223585503192407,
      -0.854827455077986,
      0.891971874301471,
      -0.385165125533961,
      -0.728642634098132,
      1.23588450095626,
      0.107014007734143,
      0.0196515082776676,
      -0.518901703099346,
      0.240192048067744,
      -0.274279982580988,
      -0.478444480063358,
      -0.93930259385345,
      1.4419364520167,
      0.0922100919004117,
      -2.05761631518325,
      1.12393005399263,
      0.743096952145043,
      -0.604481604906249,
      1.13729921072201,
      -0.533875577724925,
      -0.058735895239659,
      -0.0136370074828553,
      -0.412781565438197,
      0.574009670652514,
      0.705142892283702,
      -2.04278353570753,
      0.705856860612526,
      0.0519627584598957,
      -0.404208760374261,
      1.38592959187018,
      -1.0267200079502,
      -0.133669166863143,
      0.00281736531383302,
      0.458249155612665,
      -0.549848934898577,
      -0.24187040931667,
      0.619612957818486,
      -0.104429422892769,
      0.487389265666608,
      0.278032728094283,
      1.52213390281318,
      -1.34552361965033,
      -0.0335157067241026,
      0.371063160978934,
      -0.0367409174770152,
      0.499588888367574,
      -1.26704164660171,
      0.462687263395253,
      -0.663946546059622,
      -0.948701504335877,
      -1.32498849304044,
      2.64808459965476,
      0.304992417366303,
      0.444215208371165,
      -1.11626787574016,
      -0.0849042827043772,
      0.04434943676892,
      -0.780790483204429,
      1.2946044631862,
      0.848831120396196,
      -0.0750912469409998,
      0.912578139856755,
      -0.505032686368767,
      -0.557066829339335,
      -0.418061103722009,
      1.29078793205066,
      -1.79550750711121,
      -0.887280787773734,
      0.212646980979007,
      0.505937473370056,
      -0.143277277479579,
      0.240474343046605,
      -0.295340812367033,
      -0.369124257879598,
      0.4725272109968,
      0.0407854850859251,
      0.67074040462809,
      -0.603965716097774,
      0.0811015919673126,
      0.745955458381066,
      0.302254161536318,
      -2.27920563119437,
      2.62221429816711,
      -0.407670666724272,
      -0.643852482869024,
      0.0148601967115976,
      0.565287277225605,
      -0.158464957362682,
      -0.0213625844634536,
      0.371317527581714,
      -1.06284706111965,
      -0.170088136631244,
      0.856783755934159,
      -0.838540387470293,
      0.136652509208291,
      1.58118529961589,
      -1.03063195014779,
      -1.11191764195965,
      0.303668550783201,
      0.942568258688075,
      -0.527758888437806,
      -0.0125116401771574,
      0.179625238856217,
      -0.00741544936985476,
      -0.910797357721157,
      0.86028080997096,
      -0.862390772407617,
      -0.54289348984043,
      1.23759533825716,
      -0.027923175698792,
      -0.683939412167171,
      0.275283338810439,
      0.132313098480007,
      -0.01631237180804,
      -0.945430608838174,
      0.722966314197835,
      0.144231868949171,
      -0.0324863664176214,
      -0.137125744327214,
      -1.09415914219152,
      1.94765980465662,
      0.61083717961007,
      -1.13136080536819,
      0.410697975099036,
      -0.524233451105486,
      0.217162939396422,
      -0.962579863499724,
      -0.283237669951795,
      2.23180790816039,
      -0.788564195808043,
      1.27055194521452,
      -1.60309524733555,
      0.890691677391156,
      -0.170881692253509,
      0.387121504672969,
      -1.75805708835611,
      0.307836022353262,
      0.0772564957987057,
      0.562595734111058,
      -0.170502047469492,
      -1.09021549420846,
      0.868305875200485,
      0.359029558402931,
      -0.515957634954909,
      0.125381380847046,
      1.31583717431762,
      -0.491441585611142,
      -0.951322310058064,
      0.41998690671101,
      0.309863367589419,
      0.476046609726423,
      -0.154599003199079,
      -0.440967081080118,
      0.863763952156217,
      0.411041490533684,
      -1.03078144354361,
      -0.706825074222955,
      0.875938541263269,
      0.223327816806253,
      -0.177315904458558,
      -0.42573342427695,
      0.0283835046539886,
      0.154243245226197,
      -0.330211531594872,
      0.541948674659849,
      -0.377636711099764,
      0.199981249726056,
      -0.225923409422281,
      -0.553648091941012,
      1.14760288097522,
      -0.204701280117458,
      -0.18653946891269,
      -0.332718509864864,
      0.0907563045686933,
      -0.598005844039564,
      0.412221165091517,
      0.0842659259636113,
      0.427854262821914,
      0.0424033235575477,
      -1.13084465044617,
      0.652423987398654,
      0.116756449525766,
      0.445238737642871,
      -0.392262758806111,
      -0.551105791749865,
      0.39828490486009,
      0.41884705867235,
      -0.843987165181537,
      1.22857318818003,
      0.491707421780192,
      -0.90213632299657,
      0.777421410700743,
      0.199541917318703,
      -1.26981661206295,
      0.736076047249425,
      -0.338483550880078,
      0.649605690222041,
      -0.263328109170722,
      0.315104866513126,
      0.34942430365167,
      0.170617374010309,
      -0.448639170312893,
      -0.237506159992785,
      -0.18337160615875,
      0.11338983802392,
      0.085991179237218,
      0.435082485521008,
      -0.141478365931278,
      -0.084955747164869,
      0.132876386648799,
      -0.347290097218287,
      -0.0892982062702478,
      0.0000104303624511083,
      1.61125930888627e-15,
      -2.17670729716323e-18,
      -0.00401483081165141
    ],
    "mfcc_delta2_curves": [
      -0.340058527912235,
      -0.931249506818144,
      -3.72787543286175,
      3.70324789754598,
      0.504122141457029,
      -0.517657465807627,
      0.996573935483103,
      1.26348172911905,
      -2.42816261553488,
      3.46917133579122,
      -4.27239145608742,
      -0.446069950431491,
      3.90884774470775,
      -0.132067193330301,
      -1.73258702920933,
      -2.69421518490291,
      3.62091692770306,
      -2.30005205676959,
      2.46806597309031,
      3.23090259263701,
      -4.9182441105425,
      -0.683601687032291,
      2.17109366027696,
      0.712568994209899,
      -2.83214575615952,
      -0.317705694761308,
      2.50834824978813,
      2.07127242636534,
      -5.07327340637642,
      1.62013484168563,
      3.13493967916231,
      -3.56238410305169,
      3.86156779528021,
      -4.82509331769358,
      -0.735812220465563,
      1.94955305019866,
      3.94031469656418,
      -3.6965629636736,
      -0.82121637375734,
      -1.8815762729107,
      2.9662682175623,
      4.0874365780848,
      2.2751673305223,
      -6.97803876468884,
      -1.6711373880799,
      4.80485661202155,
      0.860915672726594,
      0.140701412820777,
      -3.85381922811069,
      -1.35919299296936,
      0.264957254544668,
      1.68339087878008,
      1.13096987667599,
      1.10588300399542,
      -2.80345010076561,
      0.303077916430291,
      0.404847331596033,
      0.440527262675874,
      -1.08495972567473,
      6.61894816157055,
      -7.20727233943335,
      1.74218497946772,
      -1.06113903413942,
      0.21713955418396,
      4.14443776771273,
      -5.75208967840513,
      4.76494843404671,
      -7.56483757769746,
      2.48018586239955,
      1.33773467563899,
      -0.565849518515218,
      5.05743941698762,
      -3.97467184396131,
      0.706954712022443,
      -0.0253142564799814,
      -1.88233731323324,
      7.76233411302324,
      -7.03474022215426,
      -0.720560052744043,
      7.351884885146,
      -6.00980031699132,
      3.33102688115809,
      -5.95319766149185,
      4.18768962331587,
      -0.166905193521675,
      -2.92616910489609,
      6.89452385454506,
      -7.13385258543413,
      -1.00490197780521,
      6.66419069708795,
      -2.38260438943039,
      -0.526751848164692,
      -2.21544090889626,
      -1.12837830503099,
      5.09580451443914,
      -3.29108542337538,
      2.44600723542801,
      -2.13826195499109,
      0.230853048037049,
      -0.661370753254926,
      -0.948089011546592,
      1.93464115117291,
      0.360716359643515,
      0.844890532934309,
      2.42203979623805,
      -6.72615685889709,
      2.4459085409377,
      1.40735580233309,
      -2.48965044545759,
      3.34940793693672,
      -4.51357292198889,
      0.499360974791293,
      5.29926141373262,
      -1.26771700821528,
      -0.830483322678654,
      -2.49673723166005,
      -0.589864768985477,
      2.65914271792952,
      -0.0183301921194343,
      0.896594241675724,
      -2.89691126963645,
      3.94987275971282,
      0.168721357906952,
      -1.46342755923096,
      0.262010228552809,
      -3.2951299339879,
      3.06658305366081,
      2.71295531825077,
      -4.9295018183966,
      0.144180063011447,
      1.59428121615117,
      -2.62882084463838,
      3.51813245755279,
      -3.51705385946401,
      0.335920303212974,
      3.08415719173476,
      -1.37911142583739,
      -0.295530182315725,
      1.12612600176292,
      -0.281307437991546,
      1.92195958313146,
      -2.20144549412938,
      -0.72205310130508,
      1.47039556353023,
      -1.81768216816396,
      2.63816024435081,
      -5.03849753603717,
      3.12750288028416,
      3.68427992382802,
      -2.41904286898651,
      -0.100229402034619,
      -2.45175725500369,
      2.86562912891686,
      1.75140481133811,
      -5.90680074713975,
      4.22085725623238,
      -4.997957973442,
      3.17256024439277,
      2.41598760443873,
      -2.52533940403354,
      1.69546202003395,
      -4.93539284303819,
      3.47713932673846,
      1.58867012055197,
      -1.27011693520861,
      3.57674173134919,
      -7.87302886757907,
      3.84569014108201,
      6.08274726816013,
      -1.75013454944304,
      -3.29056128891357,
      -2.7390165707575,
      2.99016237727648,
      3.55510207789927,
      -7.18323668086236,
      2.90202102801297,
      -3.59392939814566,
      1.98029772001599,
      5.40642166599003,
      -4.40653821597061,
      0.460937548611192,
      -0.865886239358202,
      1.87077544929674,
      1.32708593320024,
      -3.25506472566471,
      0.0630285657543708,
      0.462846795880656,
      -0.729638663865057,
      6.71337656977704,
      -8.27179214733577,
      1.91865843292018,
      1.3847942867111,
      -2.19386713364067,
      1.91344039192947,
      -2.74574916848235,
      0.807491599640191,
      3.66407819581708,
      -4.03535558026295,
      2.65897538523853,
      -2.86741577694422,
      1.09634117543734,
      0.2815233489708,
      1.94396631204042,
      -1.80969099863786,
      -1.12080705479681,
      2.15664406031084,
      0.279170753344415,
      0.80307191820834,
      2.79773906719612,
      -5.34514484741651,
      0.26722848799743,
      2.69809630801611,
      0.35324249352596,
      -0.540865213364367,
      -2.81870914487577,
      -0.488437953673836,
      3.35203363400128,
      -2.38013978890718,
      2.08012188816992,
      -3.88115850102723,
      0.960499233684336,
      1.67356039508219,
      1.72101005832353,
      0.213849211554152,
      -4.50340369203735,
      1.35332826466915,
      1.76675374744038,
      -0.826516238416573,
      2.47875623174348,
      -4.26257314586771,
      2.95889182749592,
      1.30723579053288,
      -1.74034321816826,
      1.78234500455791,
      -5.02485877781846,
      1.43546976539804,
      0.909187598454329,
      -0.383089393361286,
      2.31977966718166,
      -1.92606151323181,
      -0.444527989263482,
      2.26349969268249,
      -2.09613897873005,
      -0.577334594805364,
      2.00322829099891,
      -0.564345657886164,
      1.23641661433417,
      -3.3112630558916,
      4.72477500041119,
      -1.85821369119531,
      0.158511545682166,
      1.08839412855477,
      -3.74256891582281,
      0.961792452004816,
      2.4581767637909,
      -1.31749544370764,
      -1.23266832017796,
      -0.298013442739346,
      -1.45712910109805,
      4.00367485997669,
      -1.19274848120171,
      -0.135997742756174,
      -0.598426877248193,
      -1.10269147872734,
      1.25092956565682,
      -0.710069556891867,
      1.29179512786243,
      0.81441682744326,
      -2.24510370065124,
      -1.08161329423771,
      1.806396078192,
      1.52005185247463,
      -0.938879996512195,
      -3.0676611308272,
      1.43382382144335,
      2.42747896449588,
      -1.30705734468521,
      2.99865962083377,
      -4.40859667448401,
      1.83966215958264,
      0.774127064506045,
      -1.46029412313657,
      3.11793048021018,
      -2.23336570443898,
      -2.10922403236749,
      3.85993553067452,
      -3.65334820941617,
      0.574789625465299,
      -2.09839063182256,
      2.43522440770755,
      2.51415296902357,
      -4.0332868755931,
      1.04492730914371,
      1.36816825835228,
      -0.173762581445793,
      0.0786990841584777,
      -2.19639660045335,
      2.34186514233221,
      0.321516248450709,
      -0.507390327058324,
      1.65419805803566,
      -4.25047461088656,
      1.01235280340545,
      2.21557223288608,
      -0.23710304250622,
      0.642934145004741,
      -3.49202574282196,
      2.45169170613618,
      0.761740219087392,
      -1.87506897845592,
      -0.647227319266052,
      -0.805030663172275,
      2.43050691516014,
      1.28848211200273,
      -2.36489292965388,
      0.242382910093993,
      -0.673880898316102,
      0.540110108210885,
      3.12180657809984,
      -4.44779300139403,
      3.61920691104696,
      -0.215058008587804,
      -1.49434499804015,
      2.89646847166133,
      -3.64963065443294,
      4.27671344782421,
      -2.1347662200638,
      -1.1449611407626,
      0.311626737753575,
      -1.3576965449928,
      0.722274247799178,
      1.69238877656967,
      -2.19002582022714,
      0.669049174178695,
      0.0729427771543662,
      -0.55516437158894,
      3.0878579760903,
      -3.84833066793689,
      1.15101935112536,
      2.00331998902595,
      -0.451165391500277,
      -1.11934539402758,
      -1.50137951563147,
      2.37529194809563,
      0.0258668748170511,
      -2.66988749827581,
      2.02560661606539,
      -1.7209576577678,
      0.61824519674978,
      2.28527171788115,
      -2.02837778077415,
      1.46225573049456,
      -2.42788595300885,
      1.23864378611028,
      1.20058730290637,
      -1.92555217900911,
      0.860294740347606,
      -0.503228191327992,
      -0.372849211359654,
      2.90911993431248,
      -2.83021201037254,
      -1.1190374759761,
      1.20451541273573,
      0.34106191941036,
      0.335557287425655,
      -0.697818500860688,
      -0.781415207942733,
      1.88404740333191,
      -0.631046162432694,
      1.5808198983855,
      -2.56414122543296,
      1.29522595223495,
      1.93453269669875,
      -2.93988353595405,
      2.52010149148928,
      -3.08808290168258,
      2.10652140857936,
      -0.0512655960900226,
      -2.35455490044281,
      -0.121687629245279,
      3.07322944346592,
      -2.79839130111999,
      2.29883936492484,
      -1.18790010048443,
      0.0835714249597427,
      0.39085376819072,
      -0.784659330071776,
      -0.0406480130104492,
      1.022099953765,
      0.0417760234200912,
      2.3732843483279,
      -0.528306973286252,
      -0.933068601279366,
      -1.38964490470956,
      -1.47077829511952,
      2.36810299868028,
      0.910538669538672,
      0.0288081245445224,
      -3.04517331356762,
      2.3500392852302,
      0.108125973929012,
      -1.88323685739135,
      0.427733085632166,
      0.222681630466342,
      -0.474012659528187,
      1.14853117185285,
      -1.69011186939217,
      1.63111028591078,
      0.188104081732606,
      -1.37612425197952,
      0.920104627414682,
      -1.05918854001928,
      0.89356717338618,
      3.29658036837405,
      -1.86387436249945,
      0.422443660170654,
      -3.02262350701197,
      1.31909155217251,
      3.27718046215264,
      -2.98836545216424,
      0.473350649358997,
      -2.43354253023277,
      1.43279551517418,
      2.39101120513716,
      -3.22832114878559,
      -0.906159121598909,
      1.580111361185,
      -0.524482162254642,
      2.55282577459077,
      -1.41075349317703,
      -0.679429390190165,
      -0.270597285082484,
      0.436931053532697,
      0.669104415423188,
      -0.843274684825008,
      -0.176576381160916,
      0.378485774446811,
      0.114829809417515,
      0.308173235498846,
      -0.372136144076438,
      0.267085643183533,
      0.0452079389593676,
      0.0184476580603787,
      0.00000336870490968977,
      -1.43461961886801e-13,
      -1.4210854715202e-13,
      -0.00240215535919518,
      -0.145744303862823,
      1.31836480004031,
      -0.240314799312491,
      -0.632079119372544,
      -0.587640967833359,
      1.62183749076724,
      1.41253380999219,
      -3.19817479663231,
      1.06577483825981,
      1.18349683394086,
      -2.94277764363354,
      0.87662109450893,
      -0.763785727659609,
      2.21096736194358,
      -0.733288209956073,
      -1.84754263417695,
      -0.516504231926573,
      1.83553206786173,
      -0.633999288040193,
      -0.652903494092135,
      0.0127540620418603,
      0.683250655642321,
      1.44954890694303,
      -0.643068074712765,
      0.286656525466349,
      -1.27546085849826,
      0.754962370574494,
      -0.837878521149218,
      2.35673921984033,
      1.31531821509597,
      -2.73259170229735,
      0.260121880013118,
      1.77343408061814,
      -3.25794352377707,
      1.22584750894699,
      -1.18135038977235,
      2.23963536151746,
      -0.310082794029816,
      -1.2380676062079,
      0.390785076033064,
      2.44479514519345,
      -4.65037581971968,
      0.359522781494495,
      2.21957780504062,
      -0.291333760311102,
      -0.449522143776126,
      0.0899975272770078,
      0.997676186260635,
      0.0580631512663797,
      0.36079438383317,
      -1.37478392762697,
      -0.658082433001087,
      0.561435852059251,
      0.432429200503585,
      1.26771124685647,
      -0.909350334358136,
      -0.700753269661636,
      1.08966120304358,
      -0.779023960713139,
      -0.60368819634267,
      1.98491047076501,
      -1.36080643352933,
      -0.0635349323354626,
      0.366720498438524,
      -0.40954155673722,
      0.233531644808331,
      -1.26096914214441,
      1.33554553499379,
      0.0676956561541794,
      -0.621973518273968,
      0.294985530407984,
      -1.19877372654575,
      1.2023802631756,
      -2.56808230573626,
      2.52559773134212,
      0.18977002498571,
      -0.0276599088271911,
      1.17271821452173,
      -1.00951989865971,
      -1.18940111442427,
      1.44068627512362,
      -0.86942104032536,
      0.344817285413761,
      1.07462946562584,
      -2.5344003341993,
      1.60672854838522,
      -0.297705349193839,
      0.351351354380602,
      -1.08997198560051,
      0.898661308308533,
      1.90053495409589,
      -1.95858222129174,
      0.310203277990816,
      2.17035329059889,
      -2.91652306682259,
      0.862289876444231,
      0.702808111661182,
      -0.196533051702316,
      -0.917680483073134,
      0.566132142129724,
      0.397639027617266,
      -0.886302913678239,
      -0.357492379866329,
      -0.642327168149352,
      -0.875329706376664,
      3.01260487092472,
      -1.16002890421971,
      0.204519974326181,
      0.841026033544152,
      -0.65256209577825,
      0.464950532633622,
      -0.711465639180875,
      0.239990914511785,
      0.678614360606756,
      -1.81396291685354,
      1.18746612784366,
      -0.862158493093308,
      0.509648190335769,
      0.0263419038940496,
      -0.49911350817659,
      2.0725280278218,
      -2.12807106049033,
      0.255370831548492,
      -1.38844328931259,
      0.68185472833695,
      0.674757794274188,
      -0.615753420874106,
      -0.18331804088042,
      2.20394439865368,
      -1.06936844060817,
      0.976736794704998,
      -0.213109783547416,
      -0.653011197017511,
      -0.193693238533227,
      0.0863769206067138,
      -0.357149980821138,
      1.38629071320705,
      -0.791459013253461,
      -0.164212468037581,
      -0.904229034151941,
      0.225233730185037,
      0.026531337578081,
      0.909758508767158,
      -1.29725930089157,
      1.01975166839156,
      -0.0477341009565751,
      0.507324729863761,
      -0.577604820761205,
      -0.690758994929643,
      0.669856819223599,
      0.506244587321959,
      -0.791948061768055,
      0.57716568378934,
      -1.05324502504562,
      1.34807127081293,
      -0.168098235399848,
      -0.0079678784217568,
      0.181015808166932,
      -1.40755307103874,
      0.571486235296717,
      -0.728070102603995,
      1.40908492171111,
      -1.29131375652078,
      0.254454616163123,
      1.11758445778773,
      -0.781323952323954,
      1.12962430124207,
      -0.195028056402054,
      -1.39956395788841,
      0.164834902371542,
      1.65832515678823,
      -1.5625738432566,
      0.435877474078805,
      -0.742403336240239,
      1.48913580473906,
      -1.1224172106522,
      1.14333646297954,
      -0.700251448175738,
      -1.11132375801266,
      1.11062003053125,
      0.0253384372494753,
      -0.335553211021994,
      0.447406369613492,
      -0.30801805389604,
      0.318960368915886,
      -0.50158546438962,
      0.478657617743108,
      0.0138030398083864,
      -0.455924787728051,
      1.56246265455472,
      -0.883028251619534,
      -0.339900920935859,
      0.65024481464935,
      -0.216415877651499,
      -0.368513824451599,
      0.170252392190401,
      -0.877853277436431,
      1.32508312188808,
      -0.98603349372298,
      1.36944107999872,
      -0.300997171115693,
      -1.55504355663194,
      0.945982955014935,
      0.292251222380237,
      -0.885727036116677,
      0.295606676209446,
      -0.227898223647462,
      0.0388082361935769,
      -0.361883176711167,
      0.939873879351157,
      0.749594884387606,
      -2.2559368139812,
      0.661329550247475,
      -0.396052860055097,
      1.94894684505074,
      -0.331048236358088,
      -1.31612705596137,
      0.59317886175063,
      -0.615840266723223,
      2.04272016678638,
      -0.998075582804714,
      -0.991125850888767,
      1.33308759548429,
      -2.35010023110041,
      1.80414175316368,
      -0.97182365942441,
      1.55658114681277,
      -0.938002096433884,
      -0.0963213980846787,
      0.669209125249407,
      -0.236439912424382,
      -0.979586852455966,
      0.721918210022313,
      -0.326976020046269,
      0.292806598146484,
      -0.730927217365315,
      1.26632789286531,
      -0.0591725783554644,
      -0.164368385458527,
      -0.469308560995413,
      0.510730804296484,
      -0.0383642551015922,
      0.976516107315158,
      -0.830150944009866,
      -0.265958790681569,
      -0.0588070783016515,
      0.418692538159702,
      -0.228337471465011,
      -0.737900319422717,
      0.796606815737587,
      -0.401758099690053,
      0.634530502846081,
      -1.06527456828537,
      1.15017669443147,
      -1.0120497519196,
      0.642684586894661,
      -0.398591543500117,
      0.918365346486696,
      -0.284233595003051,
      -0.653315577010663,
      -0.126729115397105,
      0.105501775627234,
      0.339485909235703,
      0.447412575923224,
      -0.443381114440164,
      1.07287683313518,
      -1.70945111507721,
      0.361967166405246,
      1.91079031831533,
      -2.02456371657485,
      0.822109359223995,
      -0.364186824132114,
      -0.665525853750457,
      0.765756256895799,
      0.568832917154237,
      -1.15601711999623,
      1.06428428632742,
      -0.0658744104683907,
      -0.190333797686178,
      -0.415897373648243,
      -0.67266618432619,
      0.479189119519474,
      0.0349985130722896,
      0.587464091430994,
      -1.38701562676429,
      2.0653162207508,
      -0.556076837265448,
      -0.670243780175658,
      1.51657615256577,
      -0.92422361166189,
      -0.85408921335798,
      0.508716264240137,
      -0.330536999190428,
      0.265935776737571,
      -0.106421780548502,
      0.860841593051629,
      -0.891785361171295,
      0.466541881520816,
      -1.00910652850304,
      0.486393170068227,
      -0.170626238430437,
      0.180627319186179,
      0.26313386867279,
      -1.00193308351776,
      1.34645662124349,
      -0.130664800609997,
      -0.171804884665751,
      -0.0079567642921482,
      -1.20545917891448,
      0.983688328513542,
      -0.0957034506294489,
      0.993041796154101,
      -0.865741539649579,
      -0.09633350611476,
      0.865111106804167,
      -0.398705431523123,
      -0.335661151127795,
      -0.182796891662215,
      0.13279502569568,
      -0.245311091866449,
      0.53219229776716,
      -0.613516718203793,
      -0.485292631863916,
      1.75260238561213,
      -0.896330155222449,
      -3.02677786902416,
      2.95135816721276,
      0.224012491754396,
      0.0658443807288939,
      -1.0289598514112,
      1.1236109044011,
      0.352654046486743,
      -1.06897498162622,
      0.258042694566975,
      -0.0820304275849163,
      -0.0131883234097313,
      -0.252083443108133,
      0.388227811977356,
      0.229151379950684,
      -1.19548637331097,
      1.11235862061982,
      -1.43615634775333,
      -0.0203427724804185,
      2.66539397030272,
      -2.25003407904342,
      0.303983299241594,
      0.420813709313761,
      -0.295837579685912,
      0.530164001976622,
      -0.390864419686034,
      0.332476443988459,
      0.112131889398027,
      -0.0212968258056548,
      -0.330460228108146,
      1.47074557195323,
      -0.653221690331811,
      -0.772525921568603,
      0.540577208034159,
      -0.0735495783796988,
      -0.435006677303335,
      1.10337931011657,
      -1.02667233410965,
      -0.279672937550247,
      0.445446742458587,
      0.870629579612187,
      -1.11946031942106,
      0.166739150303298,
      0.128188614458614,
      -0.280834629802565,
      -0.244615414422791,
      1.38694610087609,
      -1.00668026909667,
      0.119685044591726,
      0.35157638202522,
      -0.324645066049886,
      0.652027336953904,
      -0.810611379275839,
      0.172830352723768,
      0.393862854028535,
      0.389872305154126,
      -0.610445932301356,
      -0.0473434928207014,
      -1.03065971935095,
      1.19568486090316,
      -0.420877983688727,
      0.487154595552433,
      1.17676504128724,
      -0.678811069973965,
      -0.793097339140994,
      0.0435772016951707,
      -0.528019868205787,
      0.338276225184572,
      0.497941639905355,
      -0.411170762780829,
      0.360013490883211,
      -1.27407497911889,
      0.748096291379921,
      0.10015951024197,
      -0.00654787933177752,
      -1.00234729402612,
      1.49744394731276,
      -0.439312783329692,
      -0.569184875581213,
      1.4090991506011,
      -0.184629893182912,
      -1.34082398680399,
      1.27417560525444,
      -1.44856381225249,
      0.345724497891758,
      -0.0642319668288157,
      1.50735806429191,
      -0.984944205982957,
      -0.183227036108302,
      0.0599879440916069,
      0.0129193586984118,
      -0.0493860659568497,
      -0.167536509570316,
      0.189835834948429,
      -0.543298152121574,
      1.40379430425785,
      -0.921026718140581,
      0.214062025049245,
      -0.349832753860522,
      0.440288949993046,
      -0.0427267642163885,
      0.283950034889108,
      -0.496801193678731,
      0.157638560194539,
      -0.136818674416616,
      0.286363367209857,
      0.380691998432426,
      -0.959877996774786,
      0.643797593274959,
      0.720772351833876,
      -1.2310452239716,
      -0.0317043614551067,
      0.0509108389285452,
      0.127010021615151,
      0.223070004349932,
      -0.48710950156893,
      0.246383213840197,
      0.0551590353741104,
      0.0260463735036977,
      0.00000476406279148417,
      -1.43792054982516e-15,
      2.94902990916057e-17,
      -0.00339715669863497,
      0.203833074382514,
      1.517649667641,
      -0.781216193400402,
      -0.606227421471758,
      -0.821584107010769,
      0.968358933631133,
      0.144736643605515,
      -0.970094215082921,
      0.31786102657849,
      -0.271651481301805,
      0.419681903031362,
      -0.244509235095163,
      -0.0120701775650443,
      0.199337777585869,
      0.0932001145272092,
      0.311254681867276,
      -1.60444889444415,
      0.567865377667683,
      0.769946440162152,
      -0.759363023331446,
      0.960769352483046,
      -0.228518950862119,
      -0.0824924022496503,
      0.342799043382966,
      0.145365859144526,
      -0.932032151174098,
      0.331158388314498,
      -0.276569128115119,
      1.15376462353409,
      0.175319064898269,
      -1.18943103505699,
      0.556798531304101,
      -0.640396234433437,
      0.591574425833382,
      0.000409521261429436,
      -0.627519622975133,
      -0.16569207866469,
      0.513151781122865,
      0.729630705726708,
      0.127836821675046,
      -0.523619786875032,
      -2.37960345717252,
      1.08348145343479,
      0.699809070401763,
      0.659462126782801,
      -1.27346465509569,
      -0.0427414603195491,
      0.935069200981847,
      0.41076808337734,
      0.497182763316967,
      -0.746448940112902,
      -0.302107274249303,
      -0.382387697038922,
      0.210803791586048,
      0.801790239836469,
      -1.07833699223316,
      0.177570734822743,
      0.490894684067804,
      0.0108838723038021,
      -1.68576424823896,
      1.86836755204753,
      0.115314799233677,
      -0.781713978225033,
      0.634226437889325,
      -0.745469101420671,
      0.799615261886289,
      -0.585723367060448,
      0.97139519537445,
      0.177983805322644,
      -0.647533366778065,
      0.0567147203651388,
      -0.826362350470011,
      0.280087089544947,
      0.194534078483225,
      0.364115269028798,
      -0.0219024837216201,
      -0.9815520450723,
      0.525350301656127,
      0.280579807685315,
      -1.75188439521151,
      2.32209273392615,
      -1.23439136833749,
      0.732476599879567,
      -0.0203264187881167,
      -0.582549420750061,
      0.740249028885318,
      -0.814966904586861,
      0.923135392296016,
      -0.00923523766723403,
      -1.16902175586952,
      0.750787258776292,
      -0.198041446441607,
      0.251774939528874,
      0.982987597435997,
      -1.65707640749747,
      0.719059024301957,
      -1.08867096413056,
      0.945931511028274,
      0.271419410363847,
      0.0856052851075634,
      0.307001996250507,
      -0.424689077452971,
      -0.542009991620486,
      -0.254602880910217,
      0.655354554141904,
      0.592756909591361,
      -0.526602808437292,
      -0.399627042569468,
      0.725599312389249,
      -0.0764783876977681,
      0.0857152479739407,
      -0.0774205425999626,
      -0.868549725884217,
      -0.170678423215713,
      0.748842950827359,
      0.160381935936815,
      0.0775964555016479,
      -0.503004267575892,
      -0.278920998468634,
      0.0509577394235778,
      0.529258118046993,
      -0.0725180256140475,
      -1.50184943240557,
      1.62666415155484,
      -0.688616714258447,
      0.740113512546616,
      -0.597604439283777,
      -0.211362011370536,
      1.10148395181703,
      0.0888835447731277,
      -0.553190986138447,
      0.690531719390782,
      -0.116805463883841,
      -0.28290677651171,
      -0.0183636586923415,
      -0.501378565619986,
      -0.0434721409458371,
      0.417153871476059,
      -0.458038645572689,
      0.215016318982406,
      -0.406544246892099,
      0.388783078111736,
      0.0215216775419755,
      -0.0416501720015122,
      0.319252143041847,
      -0.19248994273022,
      0.395040021740706,
      -0.694631095889063,
      -0.637587008944804,
      0.541458000447136,
      1.13500722373615,
      -0.868269814524482,
      -0.269089321887406,
      0.251023356112642,
      0.555991879007091,
      -0.470729740362341,
      0.541029809836382,
      -0.126189160737206,
      -0.969800273225643,
      0.0264687854431999,
      0.366570670018549,
      0.554356736609249,
      -0.749137499340794,
      0.264255584875467,
      -0.15574699756686,
      -0.0387556070937898,
      1.65986325306083,
      -1.34308149042454,
      -1.36460375267149,
      0.0583897572480212,
      1.22116448435999,
      -0.0505294148281785,
      -0.450547032699711,
      -0.367310208048324,
      1.55091120698509,
      -0.37068917666409,
      0.329476736287088,
      -0.431342110359234,
      -0.900299926276144,
      1.23340032329212,
      -0.645250628047813,
      0.474300357345645,
      -0.703168896623667,
      -0.408958016698595,
      0.890960152923926,
      0.100976870132892,
      0.080668889760629,
      -0.220255965210267,
      -0.803864058579913,
      1.55167085564012,
      -0.631251432933706,
      -0.200714291209308,
      0.372740525652845,
      0.165435194885132,
      -0.258278523687694,
      -0.612751160318147,
      0.273768816263947,
      1.04066497502131,
      -0.428543436392168,
      -0.242963931747765,
      0.290178712556186,
      -0.566995843555841,
      -0.864751125803081,
      1.89297261508772,
      -0.799905903569124,
      -0.66228356138848,
      -0.121051563260219,
      -0.634031566816798,
      0.0315158418446376,
      1.45646082115304,
      0.128162869226389,
      -0.864269295525163,
      -0.311184584192528,
      1.07430602047564,
      -0.341864874148088,
      0.813735604059702,
      -0.914702749494043,
      -0.0986110190626846,
      -0.0324852754923717,
      0.720000696951745,
      -0.342998979705179,
      -0.0473053957895597,
      -0.949382312503841,
      0.642239845689845,
      0.866410826415065,
      -1.17204149838227,
      1.20675373515078,
      -0.988608049351899,
      -0.37283483630251,
      0.913669337213249,
      -0.739226429524261,
      0.133236891338282,
      -0.0257500290280375,
      0.257491188938521,
      0.74781290639918,
      -0.664008976902203,
      0.416947824539896,
      -0.112233304977853,
      -0.175024243510225,
      -0.0786131193633028,
      0.0788515612087069,
      -0.0500077279972988,
      0.0462451414136467,
      0.314039400346716,
      -0.427159901093169,
      -0.365929049014298,
      0.227924088502649,
      0.615391072268819,
      -1.09883605269849,
      0.615262431029832,
      -0.313771832978498,
      0.0146823382810671,
      0.385837387213433,
      -0.0272314934495615,
      -0.0839984590993087,
      -0.156934913567958,
      0.43621795122765,
      0.100182664017115,
      -0.0841458921933864,
      -0.274769102260428,
      -0.521413339681051,
      0.369852980275181,
      0.0899649149395563,
      -0.0284303302715982,
      0.176727570436295,
      0.702366102493481,
      -0.852740427320093,
      -0.102605914267131,
      0.878013330851858,
      -0.285079931206607,
      -0.107424027501701,
      -1.02547486270651,
      0.680217269084745,
      0.466360649190686,
      -0.376211161615697,
      -0.486107261835235,
      0.476469657633548,
      -0.68553159576608,
      0.693177078351463,
      0.091850459472236,
      -0.521624930899085,
      0.122775311618291,
      -0.0978819395693224,
      0.22893257993919,
      1.19607537031029,
      -0.602667299532415,
      -0.0376725959728818,
      -0.621386815867709,
      0.586255726696869,
      -0.00487435916420029,
      -0.166659618445068,
      0.438096409381963,
      -1.07816084769651,
      0.381915249848402,
      -0.408051119798855,
      1.73961467826343,
      -1.08428917783892,
      -0.678999424165377,
      0.116271148345506,
      -0.165393123868254,
      0.100794008722228,
      0.84997542795261,
      -0.359695834988659,
      -0.146810654192826,
      0.157490170785722,
      -0.314458901205911,
      0.200325398424985,
      -0.523557024983589,
      -0.563606177319706,
      0.986781933623391,
      0.990303262015171,
      -0.0243114788341756,
      -1.21745283832779,
      0.568587045091443,
      0.530092021876121,
      -0.463709619563184,
      0.167354156925057,
      -0.27643680584858,
      0.485347231317167,
      -0.0473336217637846,
      -1.41218682796591,
      0.449832715553523,
      0.0845087687655543,
      0.250408946174463,
      0.0446628401819675,
      -0.397655037976366,
      -0.362248016859668,
      0.969089252892685,
      0.164196100701081,
      -0.3623153169455,
      0.160657055682038,
      -0.376776792663519,
      0.517494737546916,
      -0.409536622599904,
      -0.090747376070633,
      0.341380839082365,
      -0.775807790823706,
      1.04904224808454,
      -0.404936325573186,
      -0.887519579053687,
      0.622637599896545,
      0.221769718456697,
      -0.02000647975635,
      0.0862512501782004,
      -0.293719532920468,
      0.52373533619811,
      -0.097369709989608,
      0.0309775792988437,
      -0.130226626787976,
      -0.0739706744997749,
      0.32689365309819,
      -0.336412451656278,
      0.539875263669658,
      -0.858753438599484,
      0.830706598130822,
      -0.336501935448136,
      0.0698752608141786,
      -0.291828104560887,
      -0.050552213408123,
      0.434834816444876,
      -0.10444781575633,
      -0.130117131258873,
      0.00614679048992183,
      -0.530281350689535,
      1.37032624145901,
      -0.674710584896987,
      -0.0305759466895595,
      -0.475635390027902,
      -0.518610025053503,
      0.556607737759606,
      0.182895483246605,
      -0.225576942657681,
      -0.613163258780003,
      1.11371492048311,
      -0.297575127633201,
      0.111685871605397,
      0.0676745046743491,
      -0.0671632988190327,
      0.44588511310163,
      -0.652492031838032,
      -0.126351182916211,
      0.491070167235221,
      0.348061389760959,
      -0.434424910188563,
      -0.0257833167774334,
      -0.151959772613169,
      0.925846322293876,
      -0.105481973765603,
      -1.20354451178668,
      0.582517426481279,
      -0.632256643793137,
      -0.220747221595836,
      0.172983325077991,
      0.066518960366915,
      0.37658073349068,
      -0.469219025453761,
      0.300843924323767,
      -0.135882091462512,
      0.475236859195434,
      -0.0452424074840862,
      0.595624365570988,
      -0.538824255747362,
      -0.12959119148471,
      -0.0404409154527626,
      0.400653935588034,
      -0.0420220017895343,
      -0.0355414347389522,
      0.298339301056273,
      -0.492429764461995,
      -0.286260481093007,
      0.986984433227069,
      -0.861790028925693,
      0.0620801904151372,
      -0.516083069907656,
      -0.245907095908633,
      0.153428196304477,
      0.680744671959415,
      -0.199540337917894,
      -0.406156577303292,
      0.46135492735627,
      0.124821488516879,
      0.0812598712824031,
      0.30328732754586,
      0.359958510974353,
      -0.487143938513487,
      0.069764034959935,
      -0.383777600063066,
      0.590169039115328,
      -0.3267962814313,
      0.16357880770714,
      0.133718227872079,
      -0.952484304281395,
      0.694398197874618,
      0.57341335763912,
      -0.973391071875446,
      0.281803782913189,
      -0.0751988299410735,
      0.133479009484605,
      -0.015045133443366,
      -0.341417359277308,
      0.0787756321575098,
      0.0365381002436429,
      0.0259188795468074,
      0.00000476404600882293,
      -1.43065123240202e-15,
      3.64291929955129e-17,
      -0.00339714473125867,
      0.394850066696363,
      -0.783945694983703,
      0.0406505392651239,
      0.857736339645456,
      0.00947951603673271,
      -0.719957516916489,
      -0.0203716899727844,
      0.0580641792139532,
      -0.177304961133724,
      1.23181718573477,
      -0.966650688112168,
      -0.201850291703505,
      0.78818460312102,
      -0.490829230417216,
      0.260537896090668,
      -0.15063802762287,
      1.29355011909241,
      -1.13974868200044,
      -0.189873314419046,
      1.25974463542344,
      -0.504470806860892,
      0.0238608189680407,
      -0.54982116509543,
      -0.337696018575568,
      -0.0731780939669574,
      0.327301424439065,
      0.218562230922006,
      -0.354333487733174,
      -0.385415495897717,
      -1.10129099396473,
      0.966785067799042,
      0.567912679265025,
      0.126565757636538,
      -0.338589400014071,
      -0.156098856063202,
      0.401912265970711,
      -1.02574351764717,
      2.02879935597418,
      -1.130565150825,
      0.150940465261237,
      0.0922591870640466,
      -0.189498735883584,
      0.451480936292815,
      -0.699577963045985,
      -0.0692805732261085,
      0.139155312591537,
      0.0387760102484778,
      0.0184367260234966,
      0.0593066697143188,
      -0.212027314068856,
      -0.0256692366134993,
      0.355787202146976,
      0.0841712413545343,
      -0.141482327679681,
      -0.635215620239206,
      0.301011911171911,
      0.421419284744975,
      -0.775016602048081,
      0.953178234832318,
      -0.18673514660411,
      -0.252722587105287,
      -0.453860304726736,
      0.784236138388312,
      0.200224819142294,
      -0.329263575499232,
      -0.337281491772564,
      0.385304792974078,
      -0.272641055114682,
      0.247685160661735,
      -0.0264201793515237,
      -0.0283883472134336,
      -0.125214981649218,
      -0.330635725945617,
      1.87413627005831,
      -1.89101342006773,
      0.458610342887001,
      -0.556453187128396,
      -0.0366085528294978,
      0.250187730866746,
      0.515046677294039,
      0.133084141879447,
      -1.06267569395205,
      0.436779705614758,
      -0.55186710453633,
      1.43998197741519,
      -0.716618277526862,
      -0.298740651538654,
      0.0451601517387348,
      0.472965670265651,
      -0.412468379246469,
      -0.278709797724877,
      0.565203525747655,
      0.169323083797206,
      -1.39615772863032,
      1.67693166127129,
      -0.592957221192153,
      -0.324252213535549,
      0.242533310592627,
      0.164817316851204,
      0.646083410018109,
      -0.752533995388494,
      0.222768820583526,
      -0.00950872797764151,
      0.661405028851849,
      -0.518901719132939,
      -0.787896323489445,
      0.549782919476394,
      0.296434473377768,
      -0.377435064061615,
      -0.105572936313015,
      -0.0357158025199196,
      0.0557918678871954,
      0.422000751165567,
      -0.589749745942616,
      0.420716928872979,
      -0.453973657481348,
      1.16629825292801,
      -0.083671269500054,
      -0.637757197940678,
      0.303488348824829,
      -0.992251844662022,
      0.298795527305801,
      1.30891980425446,
      -0.108430596114929,
      -0.871771900975972,
      -0.116305581660831,
      0.532701568059052,
      0.076055141965281,
      -1.03219078508214,
      0.404062340157859,
      -0.227414304888833,
      0.384196612936041,
      -0.165939505929776,
      -0.0678401745468313,
      0.30334367067799,
      0.0650140755512597,
      -0.29017440225733,
      0.326131688649668,
      -0.777643908967425,
      1.48679355138338,
      -0.267804521163303,
      -1.01971514041275,
      0.667368384196938,
      0.12291572303841,
      -0.169629333751131,
      -0.191245963631731,
      -0.244444261494635,
      -0.108825597276805,
      0.765641569497263,
      0.13281146789006,
      -0.973084231665347,
      0.638112139374931,
      0.0724567206568613,
      -0.181360658422491,
      -0.21406350425071,
      -0.496253888372271,
      0.569823634829664,
      -0.183197318390456,
      0.240882460202848,
      0.151288243428416,
      -0.608541821548039,
      0.501551536293329,
      0.414995092537981,
      -0.0189923124717564,
      -0.419643854334899,
      -0.291862416496132,
      0.488222957097523,
      -0.635420351030312,
      0.256026765075238,
      0.532324690333001,
      -1.39374722076251,
      1.12151645261188,
      -0.0154954635146792,
      -0.384109247794799,
      0.550721763820695,
      -0.802017158685118,
      0.839943755166097,
      -0.419049152291705,
      -0.0716978207236338,
      0.0768950369676331,
      -0.411459937766947,
      1.02205671422549,
      -0.557146030193394,
      -0.253896435686689,
      0.263140362225696,
      0.25568862856762,
      -0.347481019867449,
      0.393812561030944,
      -1.06952666505135,
      1.15972272741103,
      -0.362523848424038,
      -0.154709790533912,
      0.0923925122600761,
      0.174516336288737,
      -0.473016209835757,
      0.779429555003468,
      -0.164441069271563,
      -0.222649143349353,
      -0.3269547675033,
      -0.121530136544102,
      -0.0233771759567972,
      0.627453775031096,
      -0.138486095502641,
      -0.297729320023098,
      0.794395512496647,
      -0.721748877653788,
      0.0335318398159959,
      0.210836130888052,
      -0.295522319981803,
      0.327932608563231,
      -0.522587427030206,
      0.450800930611427,
      -0.387625910688205,
      0.655649679527774,
      -0.736679308605302,
      -0.00202229526872039,
      0.669757243885564,
      0.129582669503072,
      -0.919762963992864,
      -0.0125296533160722,
      0.263697137044244,
      0.532054199312362,
      -0.567288842690707,
      0.640053419404992,
      -0.256256484985797,
      0.320182243806385,
      -0.557589188246973,
      0.0824706618064781,
      -0.165660407312256,
      0.454819010773862,
      -0.482346079969288,
      0.522215456310496,
      0.103724812866624,
      -0.695953228261561,
      0.637010282761281,
      -0.0361380035599164,
      -0.180183454239951,
      -0.172248543425489,
      0.0631515541761098,
      -0.0583038762931469,
      -0.195460290096759,
      0.162033479198277,
      -0.190664326318953,
      0.0911166194434316,
      0.28415026366682,
      0.195055378989671,
      -0.0493810238041013,
      -0.367074886596552,
      0.126478690591842,
      -0.265575573357853,
      0.425359262309021,
      -0.21855617995946,
      0.0599502586425954,
      -0.223704677823345,
      0.528277919151204,
      -0.0922300880417362,
      0.0572727229585909,
      -0.913563637500761,
      1.34548581179829,
      0.204609053158286,
      -0.813745060745877,
      -0.188609269790854,
      0.0757209284183258,
      -0.505793502026956,
      0.0131232481420299,
      0.571783131866432,
      -0.215949171519665,
      0.557243821032694,
      -1.02883423070014,
      0.413548678408674,
      0.444490369230472,
      -0.277031340762685,
      0.791624009150095,
      -1.06557165033096,
      0.0312164597564969,
      0.71318610554912,
      -1.06423782938018,
      0.664152779686223,
      0.169573639695852,
      -0.275034033853758,
      0.10808606882961,
      0.15968094855834,
      -0.257902298986452,
      -0.501544727451959,
      0.825211369699493,
      -0.588716987200581,
      0.286535323098178,
      0.156388625095944,
      -0.772667521648487,
      0.866091134207188,
      -0.0866656544555033,
      -0.520854054685257,
      0.467822847437926,
      -0.00510758151257241,
      0.237627915743554,
      -0.900366623761668,
      0.939190839038393,
      -0.471310195214928,
      0.170055712521647,
      0.348586066017216,
      -0.477957336537703,
      0.591990057998439,
      -0.588054640502495,
      0.504643263963574,
      -0.461361265145514,
      -0.872906430488962,
      0.696741533366164,
      0.4802291124442,
      0.559550379963772,
      -0.738362720023376,
      -0.226744746013227,
      -0.119743877671384,
      0.346550990102838,
      -0.0614593456545328,
      -0.374397462924937,
      -0.0376608055703857,
      0.787180648315318,
      0.186702103002515,
      -0.772938079922785,
      0.755058411707259,
      -1.66384372111505,
      1.04620081966173,
      0.620696987539899,
      -1.45150226294859,
      0.878311718073108,
      0.531116275815425,
      -0.602041364151385,
      -0.202088934570501,
      0.431298194847674,
      -0.0666879575790436,
      -0.146131070637504,
      -0.0314829392361439,
      0.189190375056969,
      -0.133150803750333,
      -0.151971145198622,
      0.348784821684323,
      -0.0988110231782772,
      0.0421004262063871,
      -0.248071362897448,
      0.585392960147407,
      -1.19226356238872,
      1.25834778929633,
      -0.182264220741485,
      -0.697103556484977,
      1.31030295795975,
      -0.491511752237179,
      -0.201571405866872,
      -0.019972304754706,
      -0.266052794855984,
      0.48224032468298,
      -0.285792847312516,
      -0.459344599058506,
      -0.0663875509128387,
      0.361422850662175,
      -0.194622805427199,
      -0.0838421565224288,
      0.182837935231833,
      0.0170298555988165,
      0.250619777942493,
      -0.45115285202674,
      -0.222816745309801,
      0.581151753481004,
      -0.0454079013330916,
      0.522353296013273,
      -0.845104744362302,
      0.200352271485514,
      0.698879090020149,
      -0.627396371354602,
      0.0685594276508611,
      -0.00416134008230816,
      -0.188748252974384,
      0.429491939715345,
      0.171242432384644,
      -0.706738251689261,
      -0.225144887653734,
      0.21723456376083,
      0.211639385881581,
      0.4524436293683,
      -0.803935284897346,
      0.455538612614349,
      0.148744274421062,
      -0.173004967092183,
      0.13324689691264,
      -0.494475223149303,
      0.0393142758582655,
      0.784250571842629,
      -0.733078310532835,
      0.00917121981831349,
      -0.00916600071036263,
      0.699043509254989,
      -0.285659078131884,
      -0.190132732060011,
      0.529188643429795,
      -0.458456517046471,
      0.448118671817916,
      -0.30733739985498,
      0.388526895367345,
      -0.650404911607415,
      -0.28714770298506,
      0.386956745742501,
      -0.0823851677153087,
      0.0511831143988728,
      -0.120168241515923,
      -0.254733333818661,
      0.270863561970181,
      -0.205518839378292,
      0.265445014417546,
      -0.265857733115214,
      -0.244587787590102,
      0.833402544035226,
      -0.458156800346886,
      0.211487232933787,
      0.0754983803844208,
      0.343998380339584,
      -0.498782195397601,
      -0.468122124190034,
      0.487061220009937,
      -0.108010721409548,
      0.313520996776671,
      -0.403237296245611,
      0.0763437443269191,
      0.043726855861412,
      -0.29085324537093,
      0.818307663835003,
      -0.401024008759434,
      -0.523744651339411,
      0.510718062632071,
      0.092826932819837,
      0.374818654876062,
      -0.58541076467956,
      -0.308519745609105,
      0.480942402910757,
      0.104110122654878,
      0.0783862870377639,
      -0.488958002945054,
      0.41873676218024,
      -0.112441004726711,
      0.0927964841657754,
      -0.0934379834961882,
      -0.135361724129604,
      0.0738222757399362,
      0.0226208816331159,
      0.0257069560116185,
      0.00000476401803776344,
      -1.43065123240202e-15,
      3.64291929955129e-17,
      -0.00339712478566273,
      0.476735860966074,
      -0.196006805549974,
      -0.147325043896655,
      0.678361402568612,
      -0.437742598744575,
      -1.02295581926088,
      0.980691097167973,
      -0.307795271540139,
      0.322462260668748,
      0.425817378164919,
      -0.623992940578613,
      -0.0969714207395358,
      -0.483561781489437,
      0.402015328858805,
      0.253315033676458,
      -0.0520389847760517,
      0.20085575917376,
      0.0370000171705821,
      -0.351647377198524,
      0.242236866079766,
      0.031774054054607,
      -0.249528893519187,
      -0.209121295965589,
      -0.436571744879238,
      0.515965339591007,
      0.256705552668977,
      0.0489392007132137,
      -0.896440018827578,
      0.0921579999465769,
      -0.291780318210803,
      0.36898000182395,
      0.350288040341649,
      0.467219959537396,
      -0.264320112619125,
      0.018062670944285,
      0.171135545744806,
      -1.15552081572541,
      1.19854437219701,
      -0.311145579794016,
      0.578325189454394,
      -0.214834370737558,
      -0.939645952706123,
      0.375793803248685,
      0.386487870345293,
      0.0396782814299406,
      -0.499277405720385,
      -0.129322046770064,
      0.251883780013417,
      0.353765130414177,
      -0.0779004295410047,
      -0.243035096287322,
      -0.0134215145274326,
      0.291016404021799,
      -0.208896468107679,
      0.0320464998919042,
      0.118243534621516,
      0.127897924486886,
      -0.261292697573193,
      0.209083557031507,
      -0.475127474414581,
      0.138863805195,
      -0.183473424689762,
      0.347342714262846,
      0.412867939683977,
      -0.811924717853255,
      0.45495423015302,
      -0.166531974598194,
      0.574849622321494,
      -0.202498439012294,
      0.263185450823478,
      -0.255288818920452,
      -0.468650043782361,
      -0.274175444007504,
      0.482900317347655,
      0.0189264109831622,
      0.234442000182312,
      -0.888699840197177,
      0.39729774878858,
      0.133160366170484,
      -0.00390852059720162,
      0.127938053960798,
      -0.504337463261646,
      0.537320143782273,
      0.0883792678049603,
      0.261178316043465,
      -0.465105508233976,
      -0.65483928745145,
      0.699629845781255,
      0.512027949288538,
      -0.928242627045957,
      -0.151463068112768,
      0.639605995866891,
      0.0540610907926287,
      -0.84106982421768,
      0.701830902965506,
      0.508267778533605,
      -0.12874585734411,
      -0.547767658911058,
      -0.00332785294051288,
      0.683968034998455,
      -0.22505395967627,
      -0.422019419468541,
      -0.0894879931270768,
      0.525841658297707,
      -0.780661601082462,
      0.315945896661135,
      0.380394659748307,
      -0.25660348390982,
      0.495080000103889,
      -0.667656719159227,
      0.313921897249086,
      0.164603969433534,
      -0.7664107029798,
      0.547067589340551,
      0.0934909223572991,
      -0.0923498876395317,
      1.03427587771608,
      -0.307014753715664,
      -0.473218556450248,
      -0.309756498545292,
      0.0154343611243212,
      -0.979175633772503,
      1.35017689031003,
      -0.294137783667112,
      0.0948145582090054,
      0.028372640247114,
      -0.274591469102591,
      -0.00126193449148802,
      -0.769188152071266,
      0.32789162510855,
      0.731318546458661,
      -0.200081424419722,
      -0.193566797724877,
      -0.0000589696576305783,
      0.471571529295915,
      -0.0732719516254293,
      0.0237236277494229,
      0.155023592849375,
      -0.768585750914995,
      0.128090059380366,
      0.142203056353666,
      0.0164896855784939,
      0.0251923162788919,
      0.120981314141093,
      0.150655254918683,
      -0.205189126219705,
      0.120054498638779,
      -0.230832368559376,
      -0.178366033194164,
      0.655874540394153,
      -0.841819798896485,
      0.473094237534987,
      0.674551298562596,
      -0.938657260703519,
      0.285964659889495,
      -0.33631442107971,
      0.896810578457978,
      -0.585839338064503,
      -0.106786484019093,
      0.960174285178152,
      -0.912409775033856,
      0.178076782132534,
      0.557478767173935,
      -0.370179798402092,
      -0.246232553222472,
      -0.520879733287385,
      0.829237961302067,
      -0.492412926905344,
      -0.456485825598582,
      0.621029376757631,
      -0.731933092238116,
      0.83158942531325,
      0.323458187398288,
      -1.11232358572313,
      1.06586235890645,
      -0.680689279688344,
      0.518049703272659,
      -0.0206029204594371,
      -0.825255760225662,
      0.473855349752701,
      0.164597004581047,
      0.459173574172763,
      -0.498096368908905,
      -0.1538101286865,
      0.0676538959428645,
      0.203356385359861,
      -0.0215641785206974,
      0.220286029790442,
      -1.13408222548074,
      0.352274089670853,
      0.408659871624763,
      0.146341815748767,
      0.448534262052934,
      -0.865124681096717,
      0.350933857876164,
      0.252129769097635,
      -0.292312477109709,
      0.419537276011844,
      -0.859464911747891,
      0.378137505476872,
      -0.17887860391085,
      0.890876413495176,
      -0.283209323968305,
      -0.406221350510939,
      0.011821198600715,
      0.123145397376553,
      -0.0441709169271017,
      0.418654011050851,
      -0.728137850041751,
      0.064195516156735,
      -0.051968125769437,
      0.308229999142482,
      -0.180862902952008,
      0.0670124381788493,
      -0.00554131238736023,
      -0.226347202088387,
      0.147141316914217,
      0.661447693074418,
      -0.631289191549769,
      -0.278476674538433,
      0.487090438348803,
      0.0997844573193982,
      0.0427597194439738,
      -0.350440348962683,
      0.0989317346113301,
      0.858206512275372,
      -1.08291764588741,
      0.64005137613199,
      -0.621969031072659,
      0.162213859213358,
      0.287934513785509,
      -0.139445391667378,
      0.116924988332935,
      -1.05288555333109,
      0.499378333607013,
      0.821539994340788,
      -0.67900145416101,
      0.29217594027661,
      -0.338141821513328,
      0.0811268788741083,
      0.0561799474520862,
      0.064429911668087,
      -0.191073421553838,
      0.168334254784893,
      -0.468956585188165,
      1.16892868053366,
      -0.632952033143839,
      -0.282791305968896,
      -0.172215965687292,
      0.548824138924146,
      0.133941030244985,
      -0.283806198146677,
      -0.121176603399243,
      0.0108004123638166,
      0.909466310538159,
      -0.235365989041245,
      -0.465534249335053,
      -0.685461197152306,
      1.42833776960805,
      -0.391725668124721,
      -0.353089789134868,
      -0.20969999705218,
      0.1113106304281,
      0.152594682023475,
      -0.488862815826356,
      0.178540935150303,
      0.0988563406087578,
      0.338213873536434,
      -0.775734119519176,
      0.442279430725269,
      0.457964457019612,
      -0.288011139565283,
      0.141810871509151,
      -0.229227783240495,
      0.38982545406951,
      -0.343289750523851,
      -0.255507712521357,
      0.578669533502603,
      -0.742580221240462,
      0.0449233817052807,
      0.797728623876761,
      -0.405034145510814,
      0.275444804930777,
      -0.715374790701675,
      0.454560760777465,
      -0.968144028288032,
      1.1996153852303,
      0.101256929929824,
      -0.182473692814613,
      0.31246039441273,
      -1.11430224723967,
      0.436733069827445,
      -0.0743021270003423,
      0.391909920127103,
      0.340442983598227,
      -0.899990494179083,
      0.518334344979405,
      -0.194245192743184,
      0.481956438594998,
      -0.332806138185431,
      0.221067668684007,
      -0.393159673137856,
      0.103113418823854,
      0.498322286916102,
      -0.626539306915762,
      -0.757056757215102,
      0.623727267402161,
      -0.00554756271500844,
      1.28548473996695,
      -0.754084866239608,
      -0.336013195817917,
      -0.0521698708452695,
      0.415142910900095,
      -0.248110416539372,
      -0.16314366280089,
      -0.434578851533551,
      0.656717181676023,
      0.708661037820041,
      -1.02389248568087,
      0.295638636618557,
      -0.524150598450961,
      0.316424693396814,
      -0.209246342855363,
      0.238959712372414,
      -0.180302306435787,
      0.373825785211328,
      0.0395621310135281,
      -0.534203974538453,
      0.496613326701497,
      0.0554430538732255,
      -0.385402765829159,
      0.109714763914993,
      0.106836187892447,
      -0.206465844444147,
      0.279853159420495,
      -0.00504258116179777,
      0.233969243865267,
      -0.10108982462184,
      -0.267364049016394,
      0.278211127550833,
      -0.956522151058314,
      0.504188685263563,
      0.817970970168601,
      -1.31264837576437,
      1.61868007373796,
      -0.700744445949654,
      0.0699578328189698,
      -0.0178556359151671,
      -0.274812044191677,
      0.299146231356158,
      -0.197666950687668,
      -0.375879491794553,
      -0.0299167226030161,
      0.920788488409732,
      -1.03065766101571,
      0.39199674885228,
      -0.470774978945111,
      0.519883362943795,
      0.699924067246173,
      -1.02283003566352,
      -0.208141315281755,
      0.437761166695539,
      0.374936858524887,
      0.182682014342335,
      -0.229414109591308,
      -0.719213195347074,
      0.452332153655272,
      0.400838409640446,
      0.0300207504685885,
      -0.449340195247689,
      0.0922391296395403,
      0.0107009532185847,
      0.447733562621987,
      -0.481548830504107,
      0.142154448771391,
      0.0213925723551366,
      -0.318747109104493,
      0.681743833275587,
      -0.691749005378346,
      0.493417108098935,
      -0.453236713679268,
      0.546933264058317,
      -0.261317300321996,
      -0.545182770669193,
      0.292858065761503,
      0.487255194552922,
      -0.393660674388651,
      0.261810042259754,
      -0.706467154221898,
      -0.138840734638581,
      0.809240284757719,
      -0.219887332982136,
      -0.116995120034767,
      0.0794429556710425,
      0.144443868542788,
      0.278644496059359,
      -0.397354366055253,
      -0.247751651543289,
      0.141231519162692,
      0.0106343843279735,
      -0.157989306525913,
      0.352314471342516,
      0.0842560347590146,
      -0.639728134763702,
      0.643642217465399,
      -0.260522125602987,
      -0.0607178814288772,
      -0.318331666479541,
      -0.0246979314813612,
      0.904840204505843,
      -0.548733256930966,
      0.0876850473100958,
      0.0156252279289342,
      0.470282117459239,
      0.0487484328381261,
      -0.665093873755945,
      0.357281039660588,
      -0.151981424977908,
      -0.0541481220957276,
      0.0236896803813364,
      -0.103567283111536,
      0.000467912363223009,
      0.0235980839403284,
      -0.120644539874465,
      0.239050411662158,
      0.190448074188836,
      -0.269141081399495,
      0.151982454939254,
      0.0602339346671494,
      -0.385977364115579,
      -0.122990986303346,
      0.643854870030338,
      0.037028839274095,
      -0.28945046781325,
      -0.210556590900603,
      0.402945309723027,
      -0.281998813345828,
      0.125458734610684,
      -0.111593391889424,
      -0.0915475464459638,
      0.0756929154013057,
      0.0196521504154048,
      0.0254114491842625,
      0.00000476397887837169,
      -1.43792054982516e-15,
      2.94902990916057e-17,
      -0.003397096861894,
      0.041462463531297,
      -0.119928210926595,
      -0.432120818801479,
      0.055343606155999,
      0.578946609243383,
      0.0208474311783054,
      -0.467194379162319,
      0.984395721437589,
      -1.09351372856294,
      0.190378356761167,
      0.312256040276808,
      -0.0777271323984921,
      0.635472504374513,
      -1.07130012734069,
      0.520852947133713,
      0.209987935523077,
      -0.716336242013146,
      -0.0901394983772807,
      0.889760518342831,
      -0.573956610321331,
      0.224861910201992,
      -0.534510646496855,
      0.538410550488802,
      0.122601696275311,
      -0.578347835373692,
      0.366314422033733,
      -0.0805928431751238,
      0.361587205966641,
      -0.458486536753074,
      -0.0513976433147508,
      0.906151973038074,
      -0.822648530277184,
      0.0950324983524669,
      0.235415204305614,
      -0.160299345632736,
      0.0753552579617068,
      0.273029738475788,
      -0.324167370152721,
      -0.0304926785607092,
      -0.37739056362007,
      -0.254134534514853,
      1.34983533630882,
      -0.699120756151782,
      0.0145729685826175,
      -0.00806293249417982,
      -0.16890918462325,
      0.148806851621207,
      0.123240376142058,
      0.0567073819710608,
      -0.193941984226668,
      0.00708522451020453,
      -0.13214199776834,
      0.0139631444190297,
      0.256458685570476,
      -0.12316936575899,
      -0.134970026229608,
      0.128201780228483,
      0.459629014737307,
      -1.0439054603133,
      -0.620069664570251,
      1.15239400135645,
      0.528640346802192,
      -0.979272596951917,
      0.43289996066789,
      0.214896693822616,
      0.417261253830873,
      -0.44028686314389,
      0.149318234462366,
      -0.392988545274034,
      0.779713689557685,
      -0.727853190567714,
      0.319324806709777,
      0.256579108397939,
      -0.625065103689893,
      0.288685316008881,
      -0.115315712751008,
      -0.238202896979975,
      0.398117586700583,
      -0.369497549979931,
      -0.107202311354969,
      0.278900908073168,
      0.132159246150505,
      0.0820923405665809,
      0.502758795606936,
      -0.418382655434589,
      -0.335283419807295,
      -0.0605581947569295,
      0.806503207616981,
      -0.684521811480132,
      0.107789399658688,
      -0.141122980031445,
      -0.0784967631757491,
      0.166372626467088,
      0.496519524069303,
      -0.698816645257823,
      0.139091609777175,
      -0.156171481917562,
      0.270171069957239,
      0.147817042797876,
      -0.700553361397205,
      0.298529192507818,
      0.192872712886959,
      -0.46400383626852,
      0.608754165180845,
      0.194672820420126,
      -0.333335813391443,
      0.0297380484136706,
      -0.440350321970906,
      0.201686696721994,
      0.391956699854143,
      -0.358308338204717,
      0.155044784188199,
      0.183758608185391,
      0.00806022784813027,
      -0.276077571141433,
      0.300980237763109,
      -0.890264980212945,
      0.163107986788631,
      0.163889974026631,
      -0.178965055228069,
      0.722393878226268,
      -0.204969637127084,
      -0.826929963685654,
      0.80927080007146,
      0.0954701525762769,
      -0.606792347629546,
      0.826294698301963,
      -0.447200522999791,
      0.634598683514919,
      -0.0812699071195461,
      -0.398778070193042,
      0.152525108823419,
      -0.0467301531274265,
      -0.000119410752458852,
      0.0361542250541944,
      -0.09921960781165,
      -0.496047268107464,
      0.164344696536017,
      0.48343942898993,
      -0.191986103001569,
      -0.421513246226633,
      0.660375123498756,
      0.0506885050396705,
      -0.183522671199266,
      -0.0596203384828495,
      -0.00216607200494203,
      -0.234136678522076,
      0.166770343116914,
      -0.111319709302005,
      -0.016523674615455,
      0.231046434331674,
      -0.235373880527132,
      -0.0546221254645573,
      0.726148375848472,
      -0.652345304054856,
      0.0753180123275382,
      0.181052220047551,
      -0.504013813179485,
      0.641933773973121,
      -0.397174520546825,
      0.490776373415298,
      -0.188880799269501,
      -0.365019560376349,
      0.567598017020635,
      -0.774238349030189,
      0.596298790716584,
      -0.295709251509788,
      -0.115978827610646,
      0.449515142512239,
      -0.128810269310382,
      -0.215633557425213,
      -0.188284192934579,
      0.0815893105641975,
      0.467117806179949,
      -0.368849076677381,
      0.476178683418154,
      -0.310524911947551,
      -0.191761230443314,
      0.382239169200192,
      0.017719469996653,
      0.0646703516404467,
      -0.427058129632302,
      -0.204087603974958,
      0.267299721170599,
      0.0876855667923471,
      -0.109642263952298,
      0.128105965967136,
      -0.146945249142911,
      0.247622961521228,
      -0.233272534841731,
      -0.0454175701642158,
      -0.270433681687565,
      0.17776111740874,
      0.220773246176793,
      0.0135711926837754,
      -0.360449736382611,
      0.30609473489428,
      -0.0160920388235379,
      0.127502355441939,
      -0.130387480613414,
      -0.0599476927454117,
      0.104519295124708,
      -0.394978419310635,
      0.382797715080313,
      0.250861896318589,
      -0.0134049367961618,
      -0.145934022153819,
      -0.45484871730414,
      0.457782772401616,
      -0.157573698958655,
      -0.277318640594654,
      0.447687327139888,
      -0.149819682370814,
      0.105855973589854,
      -0.0215435885522952,
      -0.16541207181246,
      0.266012752817846,
      -0.0208062305851958,
      0.209463628931671,
      -0.262959927657149,
      -0.0714752099303106,
      0.023250080968907,
      0.0449076911398242,
      0.111894725224989,
      -0.119322232500462,
      -0.236755569515136,
      0.180878061309284,
      0.00808718959792613,
      0.331084952237725,
      -0.399213728847705,
      0.0136866266141284,
      -0.0217811548180495,
      -0.0290103006310306,
      0.437045893226859,
      -0.313958568245373,
      0.0812774797755693,
      -0.28728427154097,
      0.237510461051931,
      -0.210535602431575,
      0.240848799135294,
      0.0111236360370244,
      0.153022488813922,
      -0.187960576483655,
      -0.0348620004236665,
      0.124944410815414,
      -0.372035046743981,
      0.172062744519049,
      0.250222927174627,
      0.0459019813867915,
      -0.331763960279044,
      -0.149734281111184,
      0.32548999525263,
      0.530407497611504,
      -0.884360270727973,
      0.066098670820254,
      -0.120173084058713,
      0.363018111206035,
      -0.298400516675119,
      0.476071147677311,
      -0.513421631261303,
      0.440807097216566,
      -0.103471028386913,
      -0.160599442462949,
      0.49128569416052,
      -0.106900291774366,
      -0.93076559726984,
      0.803274011967032,
      0.0200650183095722,
      -0.498062503445997,
      0.302343023286937,
      -0.019792094798328,
      -0.0223316244490075,
      -0.344682208077264,
      0.470511992039655,
      0.138000684922183,
      0.0903165562859809,
      -0.207694348821611,
      -0.295850693581847,
      -0.021033621328968,
      0.412412610717332,
      -0.409403400952307,
      -0.127560543898071,
      0.750984409442916,
      -0.397674474015018,
      0.396080452083435,
      0.0454184702923873,
      -0.108709489823431,
      -0.0768094545956071,
      -0.334627876218334,
      0.296461674767018,
      -0.0513097052188392,
      0.163036900273798,
      -0.594132210250977,
      -0.105939242460448,
      0.214873368455647,
      0.229992354784646,
      0.200105356297849,
      -0.714983181338004,
      0.35462735383263,
      -0.425905865108238,
      0.279205194492257,
      0.565552465125978,
      -0.415594799389227,
      -0.0354331928321152,
      -0.127974557091764,
      0.530347716841931,
      -0.271488838062982,
      -0.240401586610632,
      -0.124190971031083,
      0.531440775904177,
      0.0037979995089267,
      -0.339020393257823,
      0.169226287722588,
      0.14636166899405,
      0.152250915893986,
      -0.302276062106013,
      0.0159281039892694,
      -0.3923779173649,
      0.444338442544321,
      0.153156005280265,
      0.114112681231405,
      0.016414047396811,
      -0.322935406684715,
      -0.191660382095745,
      0.508288453678953,
      -0.313039496175852,
      0.251240534503024,
      -0.147105316486655,
      -0.463163120969162,
      0.573949838700244,
      -0.380099373272709,
      -0.167943549542954,
      0.45498624401647,
      -0.129247323324773,
      -0.220779309921016,
      0.460472516102961,
      -0.218797083039378,
      -0.0715432026387459,
      0.0981524485188369,
      -0.0526222655421242,
      0.620515930266153,
      -1.06305293466058,
      0.651006727380872,
      -0.805417903190649,
      0.584450780155211,
      0.289798331010892,
      -0.389042002148317,
      0.0491377347887521,
      0.0503663954270309,
      -0.388868830139282,
      0.462517038573023,
      -0.251021206060715,
      0.562266499550695,
      -0.148847990591555,
      -0.602455023478199,
      0.647783002996777,
      -0.408766330196047,
      -0.0215331558655589,
      -0.0176729335386826,
      0.531164600403885,
      -0.119532407906475,
      0.0710405922666938,
      -0.33648513025868,
      -0.259532661283564,
      0.417077500779441,
      0.267847230904316,
      -0.848513360133527,
      0.19951645318633,
      0.170734765366484,
      0.147446496708085,
      -0.00454947231543743,
      -0.151868204463562,
      -0.556891980621159,
      0.900094492553484,
      -0.548679587399772,
      0.121099434029121,
      0.0608951585934788,
      -0.209272398182722,
      0.399267032461506,
      -0.349458823398342,
      0.0197608453058425,
      0.138088981445504,
      0.429808120757536,
      0.138241858950682,
      -0.242420166843114,
      -0.515379085794335,
      -0.0967353376136134,
      0.59682369299959,
      -0.0429106318077957,
      -0.00424661574827923,
      -0.192983994944456,
      -0.215217349866585,
      -0.0719494848938865,
      0.465103965946743,
      -0.339678876298637,
      0.0564810204559266,
      -0.0953646243700196,
      -0.33132212010264,
      0.545284251207589,
      0.299450809015356,
      -0.326341850198185,
      0.167669101191852,
      -0.280442185479601,
      0.111118318217562,
      -0.0545531717337604,
      0.342455552903605,
      -0.167000650194486,
      0.152767270178032,
      0.353772579142192,
      -0.631147183342119,
      0.365620395442013,
      -0.428224020842094,
      -0.0213271318501139,
      -0.0232070593245717,
      0.242570112988988,
      0.236636503656775,
      -0.257681499064141,
      -0.235464893181741,
      0.0347996556743921,
      0.192760877996446,
      0.0823132424864554,
      -0.167615624240414,
      0.305812183427184,
      -0.279815701773386,
      0.174265365212325,
      -0.357660362380675,
      0.322180133412478,
      -0.250585906153261,
      0.390506963980089,
      0.0530687245936151,
      -0.282703637055974,
      0.0541323260519375,
      -0.142103830529455,
      0.168914030519633,
      0.0383620507535084,
      -0.0710698774095988,
      -0.170205895403976,
      0.23494924307606,
      -0.0616636841633166,
      -0.185629443160717,
      0.0290976230649817,
      0.0216287924886003,
      0.0250335372855863,
      0.00000476392853074598,
      -1.44295950849347e-15,
      2.77555756156289e-17,
      -0.00339706096001807,
      -0.311379288471057,
      -0.571689126853492,
      0.944823486792422,
      -0.0352097246076819,
      -0.0238107576985121,
      -0.0230767217514442,
      0.453153481301355,
      -0.820599386754928,
      0.640992735333552,
      -0.134400441519646,
      -0.142497762308448,
      0.292829247330732,
      -0.182044058953997,
      -0.32071150684432,
      0.869501615216008,
      -0.507071505400488,
      0.0038148879050462,
      0.089707221053581,
      -0.550623127919949,
      0.422123487850155,
      -0.0688615637167373,
      0.5228486889072,
      -0.380969853127474,
      -0.427493590406841,
      0.189215536760516,
      0.144045244069527,
      -0.335055071007583,
      -0.105960822081513,
      0.342546001486128,
      0.810931373218673,
      -0.947457942094449,
      0.460955121220156,
      0.1244551575964,
      -0.446256405725893,
      0.252457976572712,
      -0.3506064542861,
      -0.237902605907526,
      0.607370563547025,
      -0.486892775890067,
      0.121097270588613,
      0.413594180861288,
      -0.0180605262397592,
      -1.24049031541727,
      0.997524501414153,
      0.100299408170791,
      -0.434062758939865,
      0.109284896855501,
      0.24250187789518,
      0.115480488252843,
      0.0453539441145163,
      0.00360436917217308,
      -0.361942956590845,
      0.0159058172010919,
      0.128401708951817,
      0.0850792650864848,
      0.0875742793086922,
      0.13707127322704,
      -0.791399740389573,
      0.747550575548481,
      0.179313060511896,
      -0.32486780904208,
      -0.693853797026944,
      0.302113479526602,
      0.448897591741416,
      -0.529624726815204,
      0.466054400538851,
      -0.477139048559663,
      0.850191204496337,
      -0.516016091393324,
      0.0469908870202787,
      0.211012153722505,
      -0.590863922033829,
      0.383386744765941,
      0.163216262674376,
      0.0385115966467905,
      -0.0774508100112048,
      -0.767719769192772,
      0.396839369263784,
      0.292749948863812,
      -0.321803685506752,
      0.730731297475103,
      -0.515235425927063,
      0.212775935932358,
      -0.726954783412172,
      0.631566503951975,
      -0.00121214581020324,
      -0.779453206474586,
      1.08846232026973,
      -0.521040483595918,
      -0.0827078835895923,
      0.138933992533199,
      -0.0900569125060241,
      0.35353032004465,
      0.0610513702720788,
      -0.188721863717099,
      -0.0249747258463296,
      0.293660301808252,
      -0.260467433585281,
      -0.0998544521450523,
      0.177913695400218,
      0.306908937435489,
      -0.377329192654237,
      -0.423895327646558,
      0.169999576371423,
      -0.411067908492489,
      0.845283587792815,
      -0.266477980803351,
      -0.0015163953043683,
      0.467567446515828,
      -0.628485669386522,
      0.499049450783284,
      -0.0301659646068261,
      -0.148113394492039,
      0.233393130958415,
      -0.547419491258398,
      0.480206348612578,
      -0.310757556357197,
      -0.30603592325987,
      0.28723826243002,
      -0.234682779334012,
      0.391925677970985,
      -0.502522296359395,
      0.322458930758228,
      -0.181051111169359,
      0.258383216927669,
      0.0722890451336373,
      -0.49014341719083,
      0.11830763260001,
      0.566141626941339,
      -0.234940988103925,
      0.198777699906631,
      0.134876760638806,
      -0.560061969912427,
      0.272917509955904,
      0.0358918442092522,
      -0.0662203649490233,
      0.266586469832497,
      -0.604827471861044,
      0.204154072801513,
      -0.24181586390829,
      -0.0202639413125036,
      0.248251751065692,
      -0.107666946650867,
      0.108041561738444,
      0.258425463534895,
      -0.31335995708777,
      0.592337508936644,
      -0.549311920438015,
      -0.180446847736937,
      0.307901882670729,
      -0.273389312848504,
      0.204630698262713,
      -0.128775227031582,
      0.137359476626586,
      0.157178364246261,
      -0.0968501118368632,
      0.398744700581686,
      -0.670325964825604,
      0.101741529376356,
      0.198308740919983,
      -0.179425916710353,
      0.402411590937825,
      -0.480054691444547,
      0.306477080427727,
      -0.114574907411478,
      -0.0899003464737686,
      0.307672812283116,
      -0.158817215012935,
      -0.327293602711476,
      0.170607958452173,
      0.156730071930429,
      -0.0741926689677491,
      0.174858675340846,
      -0.156873447529443,
      -0.00211288222241324,
      -0.145602421588101,
      0.369869312969553,
      -0.222086481441357,
      -0.261254603038999,
      0.389835791935388,
      -0.181408025356264,
      -0.0299010293239656,
      -0.0741349936593119,
      -0.0794281885949789,
      0.270627329661733,
      -0.171793540014874,
      0.257200234448334,
      -0.104246318978299,
      -0.387113830078003,
      0.919566679981314,
      -0.647184726079463,
      0.368514929618913,
      -0.104921738247213,
      -0.126117786192415,
      -0.0101706796919009,
      0.00384202879317309,
      -0.386052420533539,
      0.631349053088403,
      -0.282498657408906,
      0.509472114697696,
      -0.491242313651261,
      -0.1592094800616,
      0.118006515590116,
      0.180548254265946,
      0.0694621122141891,
      -0.313747665309914,
      -0.0183639199130026,
      -0.0843347355613614,
      -0.0236313179568443,
      0.3127607945039,
      -0.297590230503019,
      0.0741894550325167,
      0.123552947193208,
      -0.231768128042116,
      0.429460844235251,
      -0.161734944439503,
      -0.102039177827263,
      0.277549710281478,
      -0.177517050564062,
      0.471584140376261,
      -0.330514279503051,
      -0.201548301228342,
      0.459948782222696,
      -0.769351523205833,
      0.510323163979192,
      -0.216869106702841,
      0.237403587161662,
      -0.114522875747936,
      -0.281752311331483,
      0.468737136761373,
      -0.203046791162618,
      -0.309967152423371,
      0.246050125801881,
      -0.38209806541452,
      0.516018179017269,
      -0.103934950313307,
      -0.115461289236571,
      0.22840537978615,
      -0.405592561361492,
      0.236162379621971,
      0.116677711249002,
      -0.0447336240830256,
      0.361350385284835,
      -0.222558045189937,
      -0.207984290241629,
      -0.0968721446557413,
      -0.153484295202069,
      0.465144741242206,
      -0.487527863578971,
      0.430589682288883,
      -0.267779247382855,
      0.15534207921447,
      0.00928044465881277,
      0.0870490803299224,
      -0.440734448972125,
      0.550837387573924,
      -0.200868056932795,
      0.340782882814013,
      -0.0551638095362766,
      -0.508992811421236,
      0.184778628440587,
      -0.317435447162771,
      0.491712059319007,
      -0.0682046851730184,
      -0.0340634726755541,
      0.010562800778022,
      -0.150234767625862,
      -0.193101387619609,
      0.383664325866241,
      -0.105735405376684,
      -0.0708911127163124,
      -0.188698423484629,
      0.755336825003554,
      -0.213476643134438,
      -0.261374893290814,
      0.491402669031956,
      -0.589996690038782,
      -0.0590008085998383,
      0.653718410162453,
      -0.350240239052517,
      -0.498201809068266,
      0.414329892881495,
      -0.0711367872705993,
      0.265694886239319,
      -0.828030909168154,
      0.194527462422263,
      0.615269533772142,
      0.0255090204322535,
      -0.108613967236902,
      -0.205325871917825,
      0.108541956061834,
      -0.20681576962547,
      0.542660786201263,
      -0.530876422132745,
      0.293992831341361,
      -0.132886527805485,
      0.232863140299603,
      -0.612326966850267,
      0.847501858374108,
      -0.304406863368334,
      -0.65071990228642,
      0.735712242728582,
      -0.246678355130014,
      -0.395096844270124,
      0.0198185852436024,
      0.365631716035627,
      0.263410048930766,
      -0.216166827416405,
      -0.0769320108313782,
      0.26813383030265,
      0.0854974834822529,
      -0.0507117575388686,
      0.00578010087739322,
      -0.212201236921966,
      -0.112165550091611,
      0.446767431223322,
      -0.486125880805754,
      -0.246096285932298,
      0.442013047823012,
      -0.0660421380209043,
      0.293319087455247,
      -0.632778261332676,
      0.190043398226051,
      -0.0124326659018709,
      0.152882917891254,
      -0.219626089885638,
      0.490919234987369,
      -0.475371210524546,
      0.0105692498938258,
      0.118331741173814,
      -0.126015628827054,
      0.152759502957584,
      0.0772836428330271,
      0.00767199285089087,
      0.0883028279204155,
      -0.211465498669168,
      0.11467596900592,
      -0.0114595184157613,
      -0.0417144150748134,
      0.0457334371834903,
      -0.201976179567482,
      -0.395824640396526,
      0.703633713798654,
      -0.429893377108155,
      0.3107108402939,
      0.19442604392314,
      -0.693100935191029,
      0.479489501834427,
      0.0124735163975599,
      -0.644061562762961,
      0.565033654147626,
      -0.383836403863649,
      0.119013106222879,
      0.423091308591497,
      -0.396898450465767,
      0.434993044944343,
      0.095485463399163,
      -0.137579410175003,
      0.0533732188455573,
      -0.298626555398023,
      0.249861582568548,
      -0.0928410964866488,
      -0.00302450046236016,
      0.0470790225535843,
      0.187003778735831,
      -0.460306268934138,
      0.426833855382962,
      -0.0765659783737108,
      -0.0736104756292588,
      -0.229891074511183,
      0.242121868700464,
      -0.0535491444544242,
      -0.135929537690678,
      0.19145921809949,
      -0.465729605007247,
      0.477065865205463,
      -0.426302157415601,
      0.206001201069673,
      0.203197423033748,
      0.148574672263684,
      -0.513561057561698,
      0.733540695383778,
      -0.563586845830081,
      0.435099777509794,
      -0.311435992066253,
      -0.101636874204163,
      0.163287112725747,
      0.226480902548722,
      -0.391972935155116,
      -0.439705333878985,
      0.147124931277523,
      -0.103189836574525,
      0.80499902805059,
      -0.286489448021956,
      -0.127385108689578,
      0.23744489996554,
      -0.344474034415131,
      0.332440153602289,
      -0.160446633304249,
      -0.115344541879325,
      -0.282489462049706,
      0.524244048476505,
      -0.0270217469704602,
      -0.103511042323661,
      -0.131778840859546,
      0.229679826924919,
      0.103386555643098,
      -0.477601668244471,
      0.0444603444718124,
      0.400836161632081,
      0.233785998494484,
      -0.38199510144401,
      -0.197352234037348,
      -0.295728428802063,
      0.563300471710257,
      -0.286218905210718,
      0.322086429971879,
      -0.119966400620183,
      -0.39931285887911,
      0.463721031091014,
      -0.200322527760348,
      0.549275021211233,
      -0.506079294057743,
      -0.343508259322207,
      0.550973173821551,
      -0.0363398020340959,
      -0.0267046016072272,
      -0.102605055280739,
      -0.145877753207363,
      0.242615103058184,
      0.13916507726929,
      0.0333956269153263,
      -0.138145112461535,
      0.281230567150393,
      -0.547663146807228,
      0.263591007921228,
      -0.181941477432478,
      0.274180095454103,
      -0.0899695551220757,
      -0.193853932226454,
      0.0416912161276359,
      0.0201575755037959,
      0.0245747239538758,
      0.00000476386699498884,
      -1.43618582634918e-15,
      3.12250225675825e-17,
      -0.0033970170801192,
      -0.0632714580203283,
      -0.636578547938996,
      0.289094443762316,
      0.18531200234718,
      -0.252874253845334,
      -0.291688132805598,
      0.613214019479926,
      -0.332980979476935,
      0.431142866209622,
      -0.0450658392525665,
      -0.0789966477986643,
      0.154019174519686,
      -0.3784700380866,
      0.325932131476999,
      0.08488231237008,
      0.0011083935947679,
      0.236667940712633,
      -0.517782469481393,
      -0.153303779595951,
      0.396663848696234,
      0.214148639973145,
      0.0432383618050443,
      -0.586888092812742,
      -0.0915670334431341,
      0.0881856068160809,
      0.171635326168342,
      0.00448332204464787,
      0.348104119878764,
      -0.644531146409086,
      0.451261125286088,
      -0.334439243200996,
      0.285353291954278,
      0.272123989655932,
      -0.333350366557912,
      0.0122924028657575,
      0.149277175869895,
      -0.0357621828914083,
      -0.283797437725912,
      0.119404996791615,
      -0.178227256115505,
      -0.219776106969851,
      0.964964012348182,
      0.212756759826432,
      -0.890194256698825,
      0.163669646382845,
      0.333845881645521,
      -0.0738558654846294,
      0.0876911947836987,
      -0.268890007431434,
      -0.128380979364816,
      0.0426785127249379,
      0.134574336675448,
      0.155230502528565,
      -0.0405974962323837,
      -0.232631119061611,
      0.180071666177578,
      0.121778233479314,
      -0.284198773199609,
      0.116153072554754,
      0.946384534592889,
      -1.40149871975162,
      0.0437090452468042,
      -0.0112465011220429,
      0.5671386598463,
      -0.204567787714945,
      0.0465500056914595,
      0.218142379123027,
      -0.448516617331636,
      -0.0310472920304579,
      0.165202542360793,
      0.144922096000703,
      0.0923412866356171,
      -0.111469634673204,
      0.0574426443801709,
      -0.572169416948086,
      0.674317436290401,
      -0.194128835150502,
      -0.0671350915755941,
      -0.122813596428154,
      0.66671716447095,
      0.163358440170679,
      -0.178518412034625,
      -0.659590135026573,
      -0.169468410638648,
      0.370158017598697,
      -0.306229513738215,
      0.514730162689101,
      -0.623988931127636,
      0.127104451584809,
      0.263482329122996,
      -0.242355555089302,
      0.316070295949753,
      -0.488620740472301,
      0.0428518136784971,
      0.409169353929066,
      -0.0596594064211402,
      -0.392933305263202,
      0.265660095287806,
      0.0760178839723162,
      0.247129492476023,
      -0.153958488107275,
      -0.0052370159059625,
      -0.0547110635943265,
      0.409242048049611,
      0.0671746954336552,
      -1.08849125412225,
      0.645290909562195,
      -0.198788658874749,
      0.388994950669221,
      0.0790784807633284,
      -0.252238068657391,
      0.027036706203825,
      -0.429543945102738,
      0.626399996843744,
      0.057082555452424,
      -0.887667010949719,
      1.1212818949661,
      -0.408883844741218,
      -0.132191823743064,
      0.42661470282906,
      -1.06945647601637,
      0.569710452092252,
      0.129593582330206,
      0.165432280663491,
      -0.00267391889288952,
      -0.318077913828936,
      0.235632607942168,
      0.305890749489684,
      -0.920912753433071,
      0.307222386680548,
      -0.198497813089888,
      0.216263134124075,
      0.1356332542813,
      -0.073406635217396,
      -0.0235517802188322,
      0.270993409602281,
      0.0889710914655214,
      -0.387941184127475,
      0.14075048583724,
      0.19005003300165,
      -0.132805128188557,
      -0.0178965387987471,
      -0.735942741174853,
      0.704449269696603,
      -0.00764025953718975,
      0.0338110348035789,
      -0.0171303065372425,
      -0.122180774364577,
      0.269648911109938,
      0.0734314565549107,
      -0.106906457035908,
      -0.386170788025415,
      0.405390210889866,
      0.0765899050579875,
      -0.431372858542768,
      0.391758371395535,
      -0.270239672028992,
      -0.229541187994508,
      0.51414896615485,
      0.0620425028140567,
      -0.242640122826299,
      -0.372783572898682,
      0.489948204432344,
      0.00118922685158812,
      -0.168386569398682,
      0.0813090349294154,
      -0.394418303020371,
      0.269689606064609,
      0.215370326040902,
      0.181246926248499,
      -0.101969124527074,
      -0.402790195313417,
      0.404146762831852,
      0.344448867272039,
      -0.855670766440901,
      0.554101936779089,
      -0.531884687496462,
      0.140459935556584,
      0.477779110642948,
      -0.607285012201652,
      0.180977739762285,
      0.0732939587395404,
      0.0289450607663238,
      0.151016009769666,
      -0.226976240559307,
      -0.0733945416806614,
      0.0196145671181732,
      0.171714666797776,
      0.218655797830367,
      -0.375578600420468,
      -0.12604510934452,
      0.293553435360862,
      -0.218873935510025,
      0.279106604163594,
      -0.425573438508773,
      0.191082846229534,
      0.178997376327191,
      -0.158074642335142,
      0.340033261092981,
      -0.439617105208828,
      -0.172402997498348,
      0.367248369808031,
      0.18595699115374,
      0.0739631497337343,
      -0.447847180171388,
      -0.16470340801562,
      0.413720323553259,
      0.104212382663122,
      0.300970044547839,
      -0.562057401938981,
      -0.0380787539323115,
      0.274293328413767,
      0.0654989704694144,
      0.122412448585199,
      -0.355963218387723,
      -0.335819286745808,
      0.432986531033616,
      0.134712063461068,
      -0.0736019815579434,
      0.0523134810143856,
      -0.178985926291182,
      0.0250025271560589,
      0.408193579172205,
      -0.466437556760902,
      -0.182538554356722,
      0.263580109509166,
      0.0112544664388933,
      0.0626535766281099,
      -0.0956652373123022,
      -0.0576745869954114,
      0.101909724593387,
      0.267782427434685,
      -0.355160755519519,
      -0.16740580845161,
      -0.153530182350843,
      0.262119946415976,
      0.119106497998295,
      0.173296556419021,
      0.178720991493158,
      -0.509311216359453,
      0.314363439996024,
      -0.224744368437309,
      -0.0148727211838502,
      0.0814577469747634,
      -0.533736697034508,
      0.850249621034291,
      -0.592203717320701,
      0.0229859350790995,
      -0.593317030285143,
      1.11013517980534,
      -0.607971468803526,
      0.337720343152007,
      -0.07750751851081,
      -0.0398107354804401,
      0.245154854637031,
      -0.0699433390271117,
      0.0508245260893602,
      -0.0429653639993512,
      -0.604179054041469,
      0.535016723266799,
      0.196148089137485,
      -0.406980307802811,
      0.253463193728814,
      -0.134808590654669,
      -0.0550007648823047,
      -0.343441734535464,
      0.332158305016989,
      0.183665242015592,
      -0.0609505864271249,
      0.0479002553798244,
      -0.312338740487701,
      0.178706065720502,
      0.415640657748861,
      -0.505015060557245,
      0.0781425251752077,
      -0.10727196933789,
      0.0857483124116151,
      0.28489558272587,
      -0.346312098344838,
      -0.165314314267108,
      0.672302905884792,
      -0.231592453019315,
      -0.0160173886199846,
      0.15895966011567,
      -0.191682309467714,
      -0.28552365705808,
      0.252464409629518,
      -0.374225218649248,
      -0.143007376732976,
      0.430812012098747,
      0.40326165279373,
      -0.103040047709855,
      -0.316628242755976,
      -0.0424183563602211,
      0.249171487106219,
      0.127183309350569,
      -0.65771306827585,
      0.304035092278866,
      0.683105639574013,
      -0.394619838297583,
      0.300818638210711,
      -0.791819380207425,
      0.279365100771804,
      -0.0781125225181402,
      0.325477552706155,
      -0.416726132382521,
      -0.145703948480424,
      -0.0302565854372607,
      0.434470555773784,
      -0.0327981431866308,
      -0.0679763895237056,
      -0.128651494106684,
      0.321870153260307,
      0.0257305237848418,
      0.0252612454175189,
      -0.517666694053017,
      -0.0424317292513996,
      0.252691303882429,
      0.356750070205652,
      -0.352275207076403,
      0.344679686879309,
      -0.184263172366506,
      -0.0493396390901179,
      0.199525894801404,
      -0.309082730912152,
      0.513710270630818,
      -0.417108972725285,
      -0.0456110692853845,
      0.0976401829958559,
      -0.327647108215269,
      0.209318593240663,
      0.317010521663147,
      -0.313595739866922,
      0.183874725177894,
      -0.00666264846566147,
      -0.227330368599218,
      0.402816980957198,
      -0.413526585149118,
      0.123639543544465,
      0.296846763547533,
      -0.86621182650757,
      0.887596241323535,
      -0.158182141842693,
      -0.253322849642683,
      0.848018533810598,
      -0.675316034270824,
      0.243723932205087,
      -0.423640158956449,
      0.112419265343237,
      0.214820254711442,
      -0.250665164968127,
      -0.118814142837695,
      0.141324223961894,
      -0.0160038850264419,
      -0.158269335483205,
      -0.0581740089559958,
      0.403295402670715,
      -0.440801825827438,
      0.716490624941805,
      -0.26186722913004,
      -0.408242436782135,
      -0.121070324286662,
      0.538987616837052,
      -0.0529185779866265,
      -0.141701132479083,
      -0.162035088009827,
      0.125046667870879,
      0.308148314936575,
      -0.197387465813787,
      0.0814986118098129,
      -0.657143178745046,
      0.456982826189927,
      0.250061479068138,
      -0.218382728761971,
      0.214814377979148,
      -0.211379610165435,
      0.250885258762214,
      -0.267641975638993,
      0.145475658095111,
      -0.126186150807897,
      0.180750835771333,
      -0.151369192318291,
      0.186009557191771,
      -0.43691595035276,
      0.130703041148076,
      0.0232855902157223,
      0.10069009533264,
      -0.103414084021152,
      0.00131101420145352,
      0.012610521605019,
      0.0959708911816075,
      0.0573981299413496,
      -0.24800751795178,
      0.262911693715386,
      -0.347136205630528,
      0.37529358399821,
      0.0166498011544074,
      -0.0706832868016496,
      -0.120723883715407,
      -0.0973034230076347,
      0.0169344947156615,
      0.196728102061706,
      0.163778832218877,
      -0.283973361089417,
      -0.12097704863126,
      0.462578538729023,
      -0.227124324009258,
      0.282967774293049,
      -0.157475187195055,
      -0.231529423498942,
      0.259360225060029,
      -0.166289981427744,
      -0.185232053601381,
      0.346947145423026,
      0.167949058763304,
      -0.371270730567367,
      -0.117729640257044,
      0.451934905954978,
      0.0461017057191871,
      -0.644809732087028,
      0.376561142390357,
      -0.0803119392943093,
      0.272107866031283,
      -0.416222599830866,
      0.41796912619463,
      -0.453245700663559,
      -0.0123089378299552,
      0.126758942731566,
      0.139923978929948,
      0.0692440387196419,
      -0.151761731570615,
      0.0243307275219127,
      0.0914078004041556,
      0.0658797108304341,
      -0.376393204028348,
      -0.0564368076568682,
      0.182945177315072,
      0.246681029673323,
      -0.207480909553718,
      -0.0863404552743534,
      0.0641708033581665,
      0.0141620063476649,
      0.0240368299540393,
      0.00000476379427126067,
      -1.43412067935397e-15,
      3.29597460435593e-17,
      -0.0033969652223005,
      0.0434743765669928,
      -0.0846989787605282,
      0.226980541446457,
      -0.429715275755945,
      0.369153518603222,
      0.373388641317578,
      -0.432654401761353,
      -0.286002030566211,
      0.315055420683432,
      0.126920993154051,
      -0.238219154124365,
      0.393813691500692,
      -0.660086798431776,
      0.208344719329592,
      -0.222217761235916,
      0.563420596388003,
      -0.22455072201406,
      0.109016283156176,
      -0.589778196988764,
      0.273889692867859,
      0.263357655651995,
      0.316033170770472,
      -0.202492935410142,
      -0.359153343960687,
      0.138358824950234,
      0.131645589428978,
      -0.504940400396251,
      0.17300305550354,
      0.772647708024179,
      -0.645982889010226,
      -0.400834466270219,
      0.615132319421525,
      0.255812707010659,
      -0.477379801298745,
      0.387756378401457,
      -0.131507420281884,
      -0.281439563145712,
      0.247465060643019,
      -0.023394408974125,
      -0.0296880645040677,
      -0.676055829690063,
      0.190004220277057,
      0.633144493807639,
      -0.254284215498474,
      0.0892066685950016,
      -0.0888000496960684,
      0.0134336980831331,
      -0.0434356039973236,
      0.276218616722569,
      -0.219098221964084,
      0.0961031503705349,
      -0.217309847829949,
      0.0954083543547181,
      -0.162510091485677,
      0.290457700006111,
      -0.119847637053824,
      0.32315952232032,
      -0.237441884435907,
      -0.191084566155443,
      -0.244924085609097,
      0.68038935172575,
      -0.390638701208171,
      0.0530794947019309,
      0.315935850070504,
      -0.543896353176841,
      0.322431421677,
      -0.056971864950941,
      0.0515836561420355,
      0.0340616123042631,
      -0.158060277060402,
      0.184732818024061,
      -0.385248733862421,
      0.503785332867742,
      -0.433686282784641,
      -0.012348619324709,
      0.277305507520959,
      -0.644507677978024,
      0.579915083571607,
      -0.0137872210953438,
      -0.37019943820075,
      0.375390148353254,
      0.218536302737514,
      -0.38927341751902,
      -0.0488043895149061,
      0.074044536356952,
      0.153584265339317,
      -0.206563736730593,
      0.0201525334518543,
      0.241969095429188,
      -0.267257187453258,
      0.288019476246576,
      -0.105797543074112,
      -0.086656070482032,
      -0.0334494499097708,
      -0.202967710296555,
      0.288080159934887,
      -0.379138451320387,
      0.511926724722187,
      0.0169474050313292,
      -0.41057856999675,
      0.188605848280499,
      0.176421352278356,
      -0.0481004630019784,
      0.0494270808287604,
      -0.299372656361436,
      0.222151243319699,
      0.00760098363081095,
      0.143265791994626,
      0.00330319907929978,
      -0.176280422228996,
      0.156679683959189,
      0.0647091064849308,
      -0.5777288492607,
      0.0789241229562864,
      0.237306869559496,
      0.00342303224435566,
      0.221704270707957,
      0.103239827827028,
      -0.250225429380329,
      0.44053887835223,
      -0.324163755747142,
      -0.385935938986823,
      0.299868368584645,
      0.096973358398482,
      -0.0402669132010303,
      -0.239166558350016,
      0.0426013601220561,
      -0.0505921691830692,
      0.246389397302927,
      0.0563758997835671,
      -0.434266672734217,
      0.570615666929059,
      -0.293024348074527,
      0.200720082781955,
      -0.0362603946163215,
      -0.254094968082659,
      0.191894093795261,
      0.108259180142454,
      -0.403108800475695,
      0.256705711405848,
      0.045494875056194,
      0.150929326911652,
      -0.384262817577246,
      -0.471513933266934,
      0.773269441563949,
      -0.126193629308498,
      0.221795852678809,
      -0.252937230356515,
      0.0115613861800582,
      0.118628399326631,
      -0.114468523780344,
      -0.252474776626162,
      0.111682014481977,
      0.0755449713260078,
      0.196558385350741,
      -0.0784486365081217,
      0.031785422024029,
      -0.491300581956318,
      0.338242483807405,
      -0.0352367428005723,
      0.272452273340404,
      0.126670775171256,
      -0.454343477367864,
      -0.138874281582733,
      0.239114436393261,
      0.223537152003658,
      0.0414922966042451,
      -0.182092184937755,
      -0.200100670339831,
      -0.122561928233463,
      0.676332910006354,
      -0.489559508398259,
      -0.0730112097699246,
      0.185978535764073,
      -0.193631901616609,
      0.500126181220085,
      0.0181538837336269,
      -0.391783192893771,
      -0.0626648263530191,
      -0.0794816387964928,
      0.238936246058129,
      -0.177888698360842,
      0.0298314176768807,
      0.0915363220571545,
      0.0521821347510759,
      0.0612426109560472,
      -0.269407533420955,
      0.287086918177305,
      -0.162458162728287,
      0.66249813942696,
      -0.811534138801542,
      0.0464056056903548,
      0.176488619136645,
      0.0235175762126861,
      -0.1229033251744,
      0.370667570895624,
      -0.549032494604289,
      0.275883733291233,
      0.254794706447232,
      0.138804631570013,
      -0.413910927147779,
      -0.115629931737492,
      0.0487156639868698,
      0.135351880790695,
      0.27935681411862,
      -0.511712069218454,
      0.119262152985767,
      -0.153953627384806,
      0.315657430468529,
      0.0365527735399263,
      -0.37376997366492,
      -0.156915998932792,
      0.123125026269462,
      0.428452636506733,
      0.087820213369948,
      -0.307103449192721,
      -0.303568690613079,
      0.617920196647626,
      -0.234136029451505,
      0.400887298286622,
      -0.313054580755675,
      -0.323361365328786,
      0.294686018703731,
      -0.331341546649631,
      0.213584894362197,
      -0.0809351470650089,
      -0.293634331528362,
      0.474974433918419,
      0.0794279784775289,
      0.138703870899441,
      -0.579056824724788,
      0.17917166753962,
      -0.00350754725599712,
      0.116018608222379,
      -0.0535232301720448,
      -0.116279090537064,
      -0.0395725546786155,
      0.519339668052626,
      -0.167062823260114,
      -0.106494773714071,
      0.0685431515298115,
      -0.0423691381290145,
      0.0125439747129252,
      0.0437801575427258,
      -0.145859224370587,
      0.00677974347158236,
      -0.0201185475190494,
      0.108844847420529,
      -0.438559500444358,
      0.10837551592532,
      0.263675881537099,
      0.11629970301508,
      -0.0943964664772226,
      -0.328171519134769,
      0.229610045112067,
      0.663917824400346,
      -0.269836397190431,
      -0.326133966663733,
      0.529566209000188,
      -0.908644288232618,
      0.592303197996259,
      -0.192770532684043,
      0.128628599812375,
      0.176801269756052,
      -0.207830728210691,
      -0.0772525179930249,
      0.110504715179562,
      -0.251734911164395,
      0.230596595216304,
      0.0282716919432772,
      -0.310650736336069,
      0.041022264446233,
      -0.121618038155197,
      0.121479646136568,
      0.291393458090534,
      -0.990144841131098,
      0.484041353290608,
      0.581660381852239,
      -0.344125415979618,
      0.176993605808548,
      -0.334220582345823,
      0.239157943597144,
      -0.144397061981495,
      0.0206705539766706,
      0.301623564454664,
      -0.499878493269846,
      0.486209445952147,
      0.21323476406557,
      -0.377953757218957,
      -0.00426786777687016,
      0.0509845646516212,
      0.132663454707977,
      -0.32830564244687,
      -0.039434163860895,
      0.194975810344403,
      -0.26245595105135,
      0.292999444252344,
      0.0452513792947627,
      -0.565674677770512,
      0.717321179414363,
      -0.089245909940793,
      0.0383413678101393,
      0.0567703808159993,
      -0.114328612353793,
      -0.136305385828299,
      0.061047746884985,
      -0.0510950909742005,
      -0.239195026055085,
      -0.182028572315904,
      0.588949304419643,
      -0.134139212970333,
      -0.133926869117668,
      0.115434091276484,
      -0.0824282953569454,
      0.183482975007435,
      -0.198447523104575,
      -0.025901544500232,
      -0.124691349106163,
      0.0618562545192696,
      0.364343149658089,
      -0.296416345627234,
      0.134939049899507,
      0.297775821606316,
      -0.661007431740883,
      0.480367596050536,
      -0.688222140655048,
      0.400152972655252,
      -0.143251061254638,
      0.493301941162172,
      -0.419298212575889,
      0.210904018468825,
      -0.100357515568144,
      0.052210692744669,
      0.115417564509514,
      -0.232590734372638,
      0.21936437865831,
      -0.0252091101227852,
      -0.102948035361885,
      0.0442095792907962,
      0.116744974897528,
      -0.317463920800368,
      0.434992721545503,
      -0.117670683877265,
      0.0512235220493107,
      -0.510494172328302,
      0.530965232639004,
      -0.0909407352193916,
      0.125688958432177,
      -0.138432555036847,
      0.0963420184597093,
      -0.3720448420656,
      0.225197326668475,
      0.0449857871078993,
      -0.269080964068539,
      0.27221221901147,
      -0.2224927080856,
      0.263309623436097,
      -0.0857389291296542,
      -0.205917530617134,
      0.110366843513927,
      0.10928199346818,
      0.0648913579848067,
      -0.31148523569746,
      0.366952891397094,
      -0.0274300575107716,
      -0.0531613518785325,
      0.0855629225397246,
      -0.377485929209564,
      0.365571909270262,
      -0.16144707296506,
      -0.19382278525285,
      0.107182571023209,
      0.11096723533343,
      -0.0977089589919154,
      -0.0251713956047325,
      0.186194654886854,
      -0.363060722688965,
      0.185849770233802,
      0.200664090082506,
      0.300458789256747,
      -0.62397294506397,
      0.287947274672505,
      -0.0861497799821586,
      0.277062106295053,
      -0.137012655399794,
      -0.285761678883135,
      0.362109993303241,
      -0.150958103353797,
      0.0974632650574061,
      0.157588985929694,
      -0.563811583134589,
      0.197245915654307,
      0.490420986996786,
      -0.328888387612155,
      -0.0330087685676355,
      -0.156731911392338,
      0.0118309069040209,
      -0.306965286118215,
      0.326445023021606,
      -0.161647335123056,
      -0.102033309052951,
      0.452284997974327,
      -0.00765946856197704,
      -0.320556689021865,
      0.0988430655807712,
      -0.049455493792851,
      0.388687170818707,
      -0.0666604706207448,
      -0.070840436425931,
      -0.105944410644358,
      0.346603696985267,
      -0.163294749545859,
      -0.153003895308664,
      -0.0695188029421979,
      0.0629963475220643,
      -0.101188810199502,
      0.233345940941179,
      0.122237213568025,
      -0.387206648166788,
      0.112968249513163,
      0.0398125295967583,
      -0.15347009946641,
      -0.0483294750243565,
      -0.284603036623471,
      0.660307916937156,
      -0.130368967915984,
      -0.0535371471478037,
      -0.15109413985577,
      0.227916918058229,
      0.0295830496413187,
      -0.150559810225464,
      0.177169497227043,
      0.0421416129914862,
      -0.123006435987797,
      -0.202501056689947,
      0.0916535452184981,
      -0.0185493907321709,
      0.249141227939239,
      -0.300266502216243,
      0.0552466627773483,
      0.0270354453187802,
      0.00849422679988689,
      0.0234219831784558,
      0.00000476371035972381,
      -1.43412067935397e-15,
      3.29597460435593e-17,
      -0.00339690538668374,
      -0.184354777019425,
      0.721125822368903,
      -0.884263004308767,
      0.0879387243978357,
      0.35092966763872,
      -0.46807106691145,
      -0.134893724809587,
      0.170460089293405,
      0.628034266494193,
      -0.106312595521801,
      -0.243511988846846,
      0.00882628605553301,
      0.461210282922236,
      -0.597641121086846,
      -0.22373252661393,
      0.565555813080956,
      0.0178759131009109,
      -0.740812179315959,
      0.534170683914436,
      0.665446365801432,
      -0.452953812836479,
      -0.483091575693583,
      -0.00183513499374496,
      0.17358631618069,
      -0.0461911220784242,
      0.157313969305924,
      -0.279956446701623,
      0.158965571327342,
      -0.354619216291144,
      -0.0753999098766876,
      0.345709766577836,
      -0.127533384522706,
      0.655759626394825,
      -0.376297802967799,
      -0.104120061115962,
      0.407917802732212,
      -0.729272358077762,
      0.141698177637453,
      0.430808203545699,
      -0.162604332520534,
      -0.420098158257186,
      0.495394450240307,
      0.428935050217248,
      -0.627393078860848,
      -0.172300174309572,
      0.526589034934046,
      0.198968118755087,
      -0.253097306193411,
      -0.2610595111182,
      -0.256907739611209,
      0.672494121986802,
      -0.305282891843924,
      -0.0217036170590391,
      0.188971643916074,
      0.00110715837387852,
      0.0574694397046003,
      0.0927641873637443,
      -0.0908391779202681,
      -0.280644275872338,
      0.799657905194428,
      -0.884246487787682,
      0.130305352664719,
      -0.170109657184546,
      0.259366010976061,
      0.0801221780127822,
      -0.339781789806811,
      0.605295805128256,
      -0.8198791949986,
      0.0210763160182289,
      0.637264505249401,
      -0.30693336337603,
      0.172776735116501,
      0.229646449159963,
      -0.152866760447179,
      -0.120463015606441,
      -0.409550621775818,
      0.787305316926883,
      -0.689951523862422,
      -0.0316043439594924,
      0.781211771525405,
      -0.530065651600811,
      0.201643768923909,
      -0.618576169086717,
      0.548398101460209,
      0.389932029405249,
      -0.512461008495577,
      0.0322041231415195,
      0.305497212503086,
      -0.311481431502916,
      0.138976598078976,
      -0.555756585144321,
      0.460263924981012,
      -0.224562035052153,
      -0.0978175035738554,
      0.39433891607125,
      -0.271793274638877,
      0.433779254670227,
      -0.375201447580232,
      -0.171947139376373,
      0.465593410235796,
      -0.407511462106048,
      0.10598542704072,
      0.156045021780158,
      0.0582101716002821,
      -0.137885782128693,
      -0.127316842209977,
      -0.12122422734868,
      -0.0622353866070899,
      0.330536374903764,
      -0.146341997261529,
      -0.144550670614733,
      0.187285422806673,
      0.330903815104681,
      -0.469219778026607,
      0.604984064344844,
      -0.443717169724935,
      0.0392537056173859,
      -0.521540067036207,
      0.379662742315542,
      0.245148031626006,
      -0.0170443525917062,
      0.097531036300844,
      -0.0332744588814574,
      -0.387535635142654,
      0.145401148868539,
      -0.121583584014692,
      0.245401947933072,
      0.158724753022187,
      -0.216686038151342,
      -0.0471547039114961,
      0.0428320862910912,
      -0.024890765901159,
      0.104848536045819,
      -0.229382942388984,
      0.127951642946364,
      0.165357926641482,
      0.0296858142350437,
      -0.144599767863495,
      -0.153173060917476,
      0.0689798636757544,
      0.0694015356133213,
      0.256332982965789,
      -0.364860428493667,
      0.335452818854122,
      -0.250689341509041,
      0.160856228008744,
      -0.344267727235706,
      0.192881012309761,
      0.385534989611944,
      -0.126261815486914,
      -0.440447802671598,
      0.219662548595886,
      0.289315634490172,
      0.229990540313394,
      -0.718156520490844,
      0.237642745195517,
      0.0495470678084798,
      -0.21035447662477,
      0.498794507314275,
      -0.150627407031189,
      0.0838303503855329,
      -0.458443044152168,
      0.383645565875657,
      -0.0357492466060149,
      -0.177553633458433,
      0.166609559535112,
      -0.228144533451463,
      0.0249333302922965,
      0.512385788087341,
      -0.317606298609716,
      -0.196800793145745,
      -0.0539152244027166,
      0.325489615178291,
      0.049439658837012,
      -0.57361846241519,
      0.277132397761867,
      -0.232558629366709,
      0.153599839784373,
      0.272459522218913,
      -0.169861305889378,
      0.0780938324217377,
      0.0125902686259324,
      0.000119246984166506,
      0.0810360939230783,
      -0.241323878044517,
      0.0516245862592658,
      -0.0120277339457121,
      -0.0102696038542534,
      0.366668743172158,
      -0.712007962113323,
      0.108117400999753,
      0.403133956474868,
      -0.107092685902176,
      -0.146351026677057,
      0.0256834900099717,
      -0.0435690447572503,
      0.175812998748573,
      -0.0240395152931695,
      0.0630302945271526,
      -0.289946771967545,
      0.160859251415874,
      0.172930611685166,
      0.121829679803379,
      -0.0571836358299116,
      -0.248996527597516,
      0.26074593195564,
      -0.147660270958473,
      -0.051387137354667,
      0.276071291058758,
      -0.381907351493109,
      0.0232365829360039,
      0.175555375899038,
      0.0401543699255989,
      0.132086908248585,
      -0.283135148131002,
      -0.108158676033959,
      0.12502278275619,
      0.000605493128116012,
      0.221861075897769,
      -0.433664670950661,
      0.110668259815414,
      0.256862307209553,
      0.0456691597357874,
      -0.0236700056164824,
      -0.29815777235423,
      0.321059901638343,
      -0.0584340127815544,
      -0.0248385990208132,
      0.0715474266335469,
      -0.244737313301864,
      0.153532075047348,
      0.323013220858022,
      -0.341555999477641,
      0.205191375964667,
      -0.70469712101465,
      0.407944021794618,
      0.116121228128869,
      -0.223712281041761,
      0.207483252497194,
      -0.0630743483152526,
      0.177380297587716,
      0.0409617273409739,
      -0.430938268170433,
      0.145979317865839,
      0.355517050064162,
      -0.373888877006303,
      -0.564453764978731,
      0.626066798376152,
      0.998071993819486,
      -1.26398624455954,
      0.183171575299031,
      0.0832682209462121,
      0.286973899267286,
      -0.228492533658363,
      0.13819472657307,
      0.152372081496502,
      -0.302021233342017,
      -0.265075353054399,
      -0.207448440180664,
      0.637397727475521,
      0.213532675219189,
      -0.228243995447197,
      -0.0904930837261,
      -0.134163319957583,
      0.0498187754807534,
      0.177613831090282,
      -0.356281745042989,
      0.320869878209467,
      -0.28608418848301,
      0.218712940993459,
      -0.135635982211996,
      0.300623835874829,
      -0.0204219486332965,
      -0.442113368261483,
      0.0633958421432179,
      0.308101326248658,
      -0.447251626983015,
      0.38929000195925,
      -0.282557819674,
      -0.0511799503848832,
      0.517735140143963,
      -0.301664339930058,
      0.256070128778009,
      -0.401897556350929,
      0.320998287426687,
      -0.40295568930908,
      0.165373164628729,
      0.104398860367767,
      -0.299840532038835,
      0.440674994809056,
      -0.423843447922796,
      -0.17284487368345,
      0.44598319916589,
      0.0506718319834196,
      0.122715633074665,
      0.0273968210547199,
      -0.254905180637655,
      -0.00504672908621204,
      -0.0471092092921431,
      0.261091084501838,
      0.0340081966934403,
      -0.521696666321987,
      0.317679892052256,
      0.477162412769189,
      -0.645231152421357,
      0.413586758390923,
      -0.424453537368912,
      0.158221074386545,
      -0.041289688336232,
      0.101860490418394,
      0.176567136345693,
      -0.513364826012044,
      0.560664422293567,
      -0.28031051853705,
      -0.333227810925574,
      0.450850368024615,
      -0.26630982285211,
      0.21089658822995,
      0.204682651538928,
      -0.404979590716127,
      -0.0857892130392265,
      0.395900461684498,
      -0.241856881303144,
      0.227843571076466,
      -0.385317941574108,
      0.42828850849563,
      -0.286327709174013,
      0.256013675251056,
      0.485963037353203,
      -0.715267774064611,
      0.145912692142663,
      0.103124146208588,
      -0.103575409442358,
      -0.0192185211113538,
      0.0553111911610758,
      -0.249945784551329,
      0.434229079276419,
      -0.417060018616102,
      0.166822018998712,
      0.31461473348711,
      -0.0451271300583,
      0.0472652102421481,
      -0.290577500990755,
      -0.346051679970168,
      0.184640642311734,
      0.111247189656835,
      0.415683346764041,
      -0.529273161538477,
      -0.0996827672852468,
      0.741587496137875,
      -0.653311345379802,
      0.302211028226118,
      -0.578016055011327,
      0.676622257679122,
      -0.236187385647033,
      0.0256444123556471,
      0.0808927878477351,
      -0.192449612397548,
      0.276377376712166,
      -0.182508637567009,
      -0.0635817574994764,
      -0.325825919153099,
      0.383902926045426,
      0.0352244149931661,
      0.309945333375015,
      -0.35690447699156,
      -0.274366907409035,
      0.163045367519138,
      0.0445175388654597,
      0.281992283741072,
      -0.822510255221045,
      0.600576307505276,
      0.310699892241789,
      -0.473360300943672,
      0.663652529845328,
      -0.504513052403334,
      -0.056042658221338,
      -0.0724071400057828,
      -0.0403230574636939,
      -0.0508796501247443,
      -0.0496581669671104,
      0.327296890770542,
      0.124114211218464,
      -0.387025667107909,
      0.213975871108142,
      -0.121208643555073,
      0.0589523507296586,
      0.0417716063720301,
      -0.084992097200465,
      -0.195746099657071,
      0.557935062409405,
      -0.0181490050165445,
      0.475819047286833,
      -0.884666907714957,
      -0.307218929147015,
      0.685733489287084,
      -0.059470134954193,
      0.270457663670369,
      -0.58860340748481,
      0.0920513311361676,
      0.359722979951122,
      -0.50644790225777,
      0.333735634386581,
      -0.429677713441325,
      -0.0134727654951925,
      0.43833127082898,
      -0.192249318103967,
      0.541156458669408,
      -0.142232271768488,
      -0.525607165882381,
      0.570334312722362,
      -0.507958624194659,
      0.19576773753185,
      0.101101668320344,
      0.0687044468766554,
      -0.0670521680049649,
      -0.187092478009738,
      0.0487329881942623,
      0.299496598339956,
      -0.370492914780382,
      -0.0588792445514077,
      -0.082923734724404,
      0.109243178430534,
      0.0616402627076772,
      -0.147239422265824,
      0.0231194559228153,
      0.178382203140094,
      -0.106566551795247,
      0.242813522912224,
      -0.120633819083645,
      -0.161597505788345,
      0.0928910180820754,
      0.00994224483828869,
      0.285272360408674,
      -0.338804894829628,
      0.0717803499043422,
      -0.066617228915637,
      0.221070669750218,
      -0.204894268365285,
      0.0281010288066823,
      -0.00695723460755016,
      0.00621897173074136,
      0.0227326070178597,
      0.00000476361526057849,
      -1.43759012630592e-15,
      2.94902990916057e-17,
      -0.00339683757340945,
      -0.207582047686099,
      0.536121612865448,
      -0.195644205520406,
      -0.45958505827405,
      0.85839003145829,
      -0.473562607545457,
      -0.283993440633462,
      -0.403257693204666,
      0.893284850515198,
      -0.218892285198472,
      -0.0288049304972302,
      0.117880473109878,
      0.796317154663827,
      -0.925146377016153,
      -0.465834149371251,
      0.677683761271972,
      -0.256545929526072,
      0.0963794581567797,
      -0.17859944733293,
      -0.401481766053325,
      0.806355138614582,
      -0.242250005922982,
      0.242091725443971,
      -0.261279778261481,
      0.04906208802532,
      -0.159124719940499,
      -0.235276106591239,
      0.291006380752985,
      0.0738304966608123,
      -0.458386496765258,
      -0.142695704938083,
      0.875508375153367,
      -0.530175159597739,
      0.341303641182559,
      0.113420413109492,
      0.0767119401898587,
      -0.644334057681539,
      0.293364061203523,
      0.187893721172719,
      -0.0653695405831028,
      0.0818088777267933,
      -0.397150553753196,
      -0.586705151224336,
      0.74612157082121,
      0.168680634201845,
      -0.321325144985527,
      0.114626900585099,
      -0.184410923404699,
      0.400541954126673,
      -0.21150700414915,
      0.302002704504391,
      -0.376951873024891,
      0.120807567796556,
      -0.109560651403181,
      0.354340612778762,
      -0.0938051520416254,
      0.063153786763995,
      -0.0850059082914807,
      0.018647113784732,
      -0.392077314146645,
      0.468864192763699,
      -0.159399553260387,
      -0.227636380453807,
      0.354863058370846,
      -0.196871154082125,
      0.388362340926296,
      -0.490517602177466,
      0.339560176868325,
      -0.162630259399888,
      0.299697314310905,
      -0.272008741545569,
      -0.470383045204052,
      0.605654163834574,
      -0.054728589008901,
      -0.44256101992644,
      0.241455663242626,
      -0.107315091654361,
      0.564846333120756,
      -0.397410828997497,
      -0.103558067094623,
      0.171383405088215,
      -0.544629760305893,
      0.371252947108031,
      0.393067132273512,
      0.0795868852315535,
      -0.123579331982405,
      -0.87724934819528,
      0.829830663117396,
      0.0979629195002803,
      -0.116962706673243,
      -0.038379660076173,
      -0.0895279827757008,
      -0.113096980840791,
      0.591881141137358,
      -0.487500227275569,
      0.0877673654498363,
      -0.0546793993226002,
      0.14687480590587,
      -0.0746079748568462,
      0.014681819220171,
      0.0461810809990195,
      -0.362062378869617,
      0.237831581141788,
      -0.0258265977495847,
      -0.343972943266651,
      0.471353825161845,
      -0.425709810677572,
      0.058415585346902,
      0.496117944792868,
      -0.429221991043038,
      0.161964536984949,
      0.144762718238528,
      0.195980705220656,
      0.0565651012495665,
      -0.29398924557279,
      -0.00164666175140822,
      -0.0203922302791252,
      -0.38109429921103,
      0.271649663865701,
      -0.352345317448476,
      0.697645709108927,
      -0.373305066588515,
      -0.129972026189348,
      -0.0807118199555598,
      -0.151516621593016,
      0.276196730247376,
      0.219405483326543,
      -0.428940982570172,
      0.895607692548884,
      -0.70293767324757,
      -0.045194501361552,
      0.657640489723626,
      -0.740574252519453,
      0.313938899447607,
      0.246971127458728,
      -0.0830258723658463,
      -0.18305983606267,
      -0.159786433764512,
      0.0651159164315923,
      0.0946674476709605,
      -0.298505991134375,
      0.117612896325533,
      0.430523939441949,
      -0.251762608952022,
      -0.238492748335868,
      0.199264127182476,
      0.112839895894251,
      -0.312911151905048,
      -0.00136478362991339,
      0.244937619429154,
      -0.671969504472365,
      0.620736794043037,
      0.0556462342905466,
      -0.17933617798786,
      0.20045745394842,
      -0.57742673263003,
      1.13681198018755,
      -0.686837539561521,
      0.193803231383721,
      0.152094753373678,
      -0.893216999845831,
      1.06938286713945,
      -0.357575348511663,
      0.116015562538172,
      -0.180223781077665,
      -0.552192265062541,
      0.794126277702613,
      -0.171512972010258,
      -0.402807530278461,
      -0.165002321965147,
      0.204054947055144,
      0.211487671123314,
      0.204373832249561,
      -0.482641047898269,
      0.363157500449109,
      -0.241238828191324,
      0.686790912420626,
      -0.30422685330617,
      -0.639615280907365,
      0.378864909202836,
      0.0166273191400081,
      0.338814093636103,
      -0.309785135680733,
      0.00320256227378082,
      0.268598077332623,
      -0.264985396702278,
      0.188430917818029,
      -0.089180271198877,
      -0.365777956422327,
      0.236793443843524,
      0.0994025976224654,
      0.0124471645892111,
      0.223587350478872,
      -0.129912900395205,
      0.026093389617002,
      -0.286150724306543,
      0.00511421240699896,
      0.404182504916507,
      -0.675707756023486,
      0.699558155524173,
      -0.328642473966403,
      0.32054580898776,
      -0.166758722978945,
      -0.131181797511964,
      -0.0729757765823823,
      0.280381746972956,
      -0.019798091712901,
      -0.189390544482539,
      -0.137499347090886,
      0.140490913191643,
      0.132360489085317,
      -0.166747181759931,
      -0.00432421639425411,
      -0.267022441249436,
      0.258055499300096,
      -0.0413037239517317,
      0.0723982836258116,
      -0.0703502866470273,
      0.0271245941983189,
      0.292932194536792,
      -0.115234617197774,
      -0.0264012867175412,
      0.143244583647101,
      -0.647888752006577,
      0.555467879505805,
      0.215183939480748,
      -0.293017796485264,
      -0.00834490263666006,
      -0.326741643584069,
      0.246825723113794,
      0.00989884458660372,
      0.0568217828220921,
      -0.0669729687455448,
      -0.329104141060093,
      0.552690027318704,
      -0.34082512474649,
      0.236439349142359,
      0.029776644881951,
      -0.454908674816335,
      0.223885469057927,
      0.153129280139107,
      0.136582040501049,
      -0.0209719500832831,
      -0.0869057265446543,
      0.498315193935946,
      -0.646206647603736,
      0.307446487435628,
      -0.190639328172239,
      0.342810015988897,
      -0.750909936054438,
      0.196597780990923,
      0.144063724338442,
      -0.0228051170106434,
      0.162606645138703,
      -0.939364273465187,
      0.175200381894885,
      0.410995574159663,
      0.0460338466379605,
      0.0402688813808126,
      0.0647153016123537,
      0.12959599103591,
      0.236074445275202,
      -0.068363846588248,
      0.424749748571263,
      -0.617567554763038,
      -0.131159700242565,
      0.103243471555388,
      0.173905751646018,
      -0.130322708025308,
      0.400116659472358,
      -0.468243469839773,
      0.339203374981929,
      0.0613482750407744,
      -0.265111547667803,
      0.120210769664595,
      -0.0655219257810209,
      -0.0908052587402499,
      -0.137799712541598,
      -0.133616263199504,
      -0.0590549307922922,
      0.216108318338634,
      0.0905205562661423,
      -0.124437693669311,
      -0.267907522966487,
      0.451021369455206,
      0.267462179544965,
      -0.246309574131992,
      -0.371757260031065,
      0.654707607581747,
      0.0698658767564919,
      -0.89248440749172,
      0.451680418964444,
      0.0154187599215643,
      0.0373670540870573,
      0.0220734880686592,
      0.0152637306369793,
      -0.163710533665594,
      0.0383404765271017,
      -0.222530255346318,
      -0.0367703130408716,
      0.0237403340434313,
      0.425578152355144,
      -0.290418480023126,
      -0.0176259874545305,
      0.331456718237258,
      -0.0381189864168903,
      -0.0541185732247669,
      -0.225560961194189,
      -0.386292093924217,
      0.448813801844949,
      -0.124922685108949,
      0.506031757818447,
      -0.295088577011943,
      -0.269600407035951,
      0.339859594968216,
      -0.116074851291577,
      0.37024721260509,
      -0.141577897225322,
      -0.3618544907614,
      0.26675804028898,
      -0.352880031698892,
      0.266728802643151,
      0.0865467292099573,
      -0.535567415408379,
      0.350574726023011,
      -0.261285684841532,
      0.239759370623565,
      0.14974628956268,
      0.103255928307396,
      -0.324576455185844,
      0.182426928215736,
      0.0268988519406008,
      -0.100401625633966,
      -0.0337327616971797,
      0.128344327876696,
      -0.0635818671557194,
      -0.0251496468134848,
      0.025918647691744,
      0.0247660788491428,
      -0.145240093912281,
      0.386226817914578,
      -0.103699116444003,
      -0.149734002979135,
      -0.104894035849722,
      -0.351667685648823,
      0.441041506487447,
      -0.0467152051001117,
      0.0789115449083465,
      -0.208552363354399,
      -0.0523000225996336,
      0.203140380352205,
      0.129772259194303,
      -0.00816877703606266,
      0.050504767392979,
      -0.0757629031849782,
      0.123629397778203,
      -0.182510850088603,
      -0.010338406411762,
      0.000246675736931363,
      -0.173498831710472,
      0.196810783002706,
      0.161846762399334,
      0.0672363731462359,
      -0.0430233619873122,
      -0.0252577125188397,
      0.1625744332045,
      -0.360406340601592,
      -0.0289093787580941,
      0.160023100840803,
      -0.271404960901566,
      0.082482332035375,
      -0.0785367560703334,
      0.058562253157079,
      -0.0730581225958655,
      0.0656869329701899,
      0.174827663201059,
      -0.217311586005916,
      -0.199529163673541,
      0.492435528633416,
      -0.0925011892574744,
      -0.0284758996271459,
      0.270489927144101,
      -0.554460820166547,
      0.0411255033409949,
      0.115353246706451,
      0.214651157127054,
      0.0678866508595859,
      -0.0394431642331176,
      0.0544362658512285,
      -0.0380432652879354,
      -0.154718451785937,
      -0.0749135905622002,
      0.0255121647398053,
      0.23412958390169,
      -0.0942100648121353,
      -0.177183779680687,
      0.0545752837800435,
      -0.0176353988122353,
      0.108507935733919,
      -0.0949810708421004,
      0.0721835797236345,
      0.0127679044062641,
      -0.228652360927644,
      0.513704431990263,
      -0.520149314486979,
      0.348822524882354,
      -0.201725384962084,
      -0.0725277597601663,
      0.490149302154024,
      -0.53276933944848,
      0.559764789813389,
      -0.343309951518108,
      -0.127834625458423,
      -0.24720611024245,
      -0.0290838627985814,
      0.374032268645996,
      0.165429540488959,
      -0.0664748034619233,
      -0.18709113014153,
      0.146879650090511,
      -0.295630700993385,
      0.404929428041738,
      -0.254586221055295,
      -0.0920057247442817,
      0.190862697898275,
      -0.134639473807895,
      0.125661008129684,
      -0.0934649547900041,
      -0.0968702560597161,
      0.0614029851679203,
      0.0494418634992735,
      0.0883771801060672,
      -0.0718272929779863,
      0.335135411265647,
      -0.23014277572636,
      -0.237418396480144,
      0.0843227565220631,
      0.196871310988092,
      -0.0575610596532493,
      -0.0905076143368457,
      -0.0211953125786978,
      0.00571141442201104,
      0.0219714071930428,
      0.00000476350897405393,
      -1.44122478501749e-15,
      2.94902990916057e-17,
      -0.00339676178263689,
      -0.100507492673649,
      0.577645518087953,
      -0.759046276092901,
      0.199450941598852,
      0.260681387326883,
      -0.339321953221013,
      -0.319241580567902,
      0.247187090435344,
      0.221176628135,
      -0.0513785991456667,
      0.073622822485731,
      -0.117646381735986,
      0.621649133554746,
      -0.538015491629627,
      -0.160918692617061,
      0.0853248513798977,
      0.062622773323607,
      -0.105997418976563,
      0.118578304905758,
      0.292733106101914,
      0.241252211053487,
      -0.20121812162838,
      -0.359415206366675,
      0.023058515763216,
      0.119809599192085,
      -0.0632733019512358,
      -0.196073348292193,
      0.459862256643631,
      -0.523020736221874,
      0.204808038621168,
      -0.176247140240896,
      0.696546114118863,
      -0.697638692183145,
      0.166602267170212,
      -0.0227145506267448,
      0.29376392035224,
      -0.684671081465287,
      0.261828779579582,
      0.250704678675333,
      -0.360809428163497,
      0.00907366078479202,
      0.427624892712886,
      -0.263558208633182,
      0.0933902492090474,
      -0.176617677242924,
      0.26500223165936,
      0.0410143783795283,
      -0.0794747483778728,
      -0.0231194969734058,
      -0.191050947059699,
      0.0927054059109764,
      0.170077297975096,
      0.0606179928708214,
      -0.127986152230277,
      0.0419766305393256,
      -0.166671064134399,
      0.404332510948136,
      -0.6593682769883,
      0.284710553052327,
      0.692646564705872,
      -0.68130337636169,
      -0.0992361626718727,
      0.030399699120871,
      0.151722294281722,
      0.093936036838491,
      -0.228176117527625,
      0.360326899353047,
      -0.328613173157256,
      -0.0829227083844566,
      0.167765355413655,
      -0.0502761929446877,
      0.0709983564201495,
      -0.376765634992267,
      0.568685229311892,
      -0.0250377496578197,
      -0.179512877035104,
      0.370566150254022,
      -0.475084261435434,
      -0.0461148926588097,
      0.206496973595625,
      0.214208037741433,
      -0.134655726964147,
      -0.482652447270876,
      -0.0396080777160121,
      0.903212721387303,
      -0.657511537139519,
      0.126979030369696,
      -0.289999468147436,
      0.324185905681252,
      0.317603740252561,
      -0.501448487654768,
      0.442239704867198,
      -0.32667454387582,
      0.0386570409811452,
      0.325837282328511,
      -0.334181829746287,
      -0.167845254814955,
      -0.111562693576387,
      0.383698134273821,
      0.149283143393976,
      -0.587826339340544,
      0.365661142441474,
      -0.145652877322659,
      0.0245743490696427,
      0.394464365647906,
      -0.409982362914332,
      0.0847923198477749,
      0.0362917651152658,
      -0.133837543846107,
      0.0574662355497059,
      -0.209856563128027,
      0.147250051554273,
      0.531493164823129,
      -0.307705876656399,
      0.17689540467311,
      -0.163786483140596,
      0.103010854421383,
      -0.177666206441319,
      0.127801428208766,
      -0.0533323347685528,
      -0.326511577851711,
      0.53000989648466,
      -0.379421610658299,
      0.533931303293422,
      -0.248736113290599,
      -0.485721211547941,
      0.298611087647754,
      0.392290215459605,
      -0.496818813903917,
      -0.150281719319681,
      0.374300151069113,
      -0.18433585935302,
      0.178721778600162,
      -0.22005333151102,
      0.0190318583558058,
      0.244009770605321,
      -0.143789312165542,
      -0.217141579390182,
      -0.0837695498053217,
      0.391613783002403,
      0.195617282781925,
      -0.218071977546651,
      0.0244946416236587,
      0.0855676627180353,
      -0.336881080586907,
      0.294041789820491,
      -0.319388577751683,
      0.125212539043073,
      0.0713078160590009,
      0.0841120297823367,
      -0.31215988428033,
      -0.0563171303615744,
      0.297395742180879,
      0.220408479384694,
      -0.274834189902801,
      0.0698699854211395,
      -0.127009338209718,
      -0.0684211394482555,
      0.418921916216812,
      -0.490349707777568,
      0.220021645379311,
      -0.120182767176615,
      0.0363430903906363,
      0.0737298253744246,
      -0.0229440582067425,
      0.259265298109132,
      -0.284288603375919,
      -0.213354963448935,
      0.448220692336469,
      -0.158184244062819,
      -0.10510970600728,
      -0.288665356469641,
      0.32747254168745,
      0.279262337697907,
      -0.639576404534535,
      0.617825713834721,
      -0.369264277533298,
      0.0892360408437357,
      0.320964818044744,
      -0.22417652349169,
      -0.0249678163905141,
      -0.0616841031122656,
      0.09968746664398,
      -0.202855623888173,
      0.0539394042596,
      0.177660089249743,
      -0.0181420319096481,
      -0.226061700073218,
      0.444840162829436,
      -0.476340837597799,
      0.0899534865474341,
      0.322897755064184,
      -0.314995357310215,
      0.000125650795468779,
      -0.0803338760997909,
      0.138481866105077,
      0.163913825714469,
      -0.151133315812499,
      0.0851871603170118,
      -0.12871658392207,
      -0.104305086872641,
      0.324302217957262,
      0.0150467319269096,
      -0.118381499265043,
      -0.105029200044719,
      0.0626970831166235,
      0.0958570413921257,
      -0.0833604356206154,
      0.336213551970683,
      -0.465181533101253,
      -0.0194269297206892,
      -0.0989143047810981,
      0.108238175823652,
      0.485018430934619,
      -0.444800830006444,
      0.0193433617849762,
      0.117775991571495,
      -0.116905405122075,
      0.250939417837284,
      -0.479929601282731,
      0.210839079437614,
      0.202925735481735,
      -0.0616688672956053,
      0.126963785732196,
      -0.366937609993985,
      0.326657946448496,
      -0.0118203178366986,
      -0.0453926635820442,
      0.00432279663819857,
      -0.212451162630838,
      0.218010849665022,
      -0.276180188142145,
      0.161116651714857,
      0.161122041387488,
      -0.293758148385882,
      0.206083858959838,
      -0.165513019347655,
      0.240596411790394,
      -0.102179157111579,
      -0.16026249215511,
      -0.126251701232929,
      0.222973510842316,
      0.00120039815621574,
      -0.0712414188864367,
      0.801663727509243,
      -0.437067351390994,
      -0.149603585244492,
      -0.243330072749543,
      0.108812234750327,
      -0.216508072868113,
      0.393299900207557,
      -0.0170288865706236,
      -0.301713612120861,
      -0.127661980182849,
      0.247431791085302,
      -0.210674373175138,
      0.216946835614502,
      0.00963251891851843,
      0.0507860110649059,
      0.117071017400826,
      -0.275269557805894,
      0.0110182370253995,
      0.121593259206243,
      -0.2862659938194,
      0.130357801655521,
      0.307478965550942,
      -0.138864463261798,
      -0.0925235096671619,
      -0.143911984664537,
      0.307801418888931,
      0.0210279435376086,
      -0.347771691444421,
      0.485287698337713,
      -0.394768467976946,
      0.0773369031344865,
      0.174273865252847,
      -0.120632105153373,
      0.131058580519934,
      -0.295707562439732,
      0.0665786366777305,
      0.0704906448655349,
      0.00695717016019185,
      -0.0118887036167641,
      0.116656698248792,
      -0.194697162611528,
      0.0534275331387457,
      0.117881161323064,
      -0.152453775311941,
      0.166174924372909,
      0.0742285602149716,
      -0.258593670955303,
      -0.305311573661504,
      0.481613279837418,
      0.268392504140936,
      -0.362863337266199,
      -0.126411844342708,
      0.18590380608496,
      -0.00841417489645771,
      0.0997344610147327,
      -0.225909596951292,
      -0.00817779405154998,
      0.0652957603032232,
      0.0105283634967898,
      -0.0191944947212404,
      -0.162053972467916,
      0.419907167870504,
      -0.110900598790316,
      -0.139160316344449,
      0.142075979042241,
      -0.0507568028953489,
      -0.312507902916614,
      0.320914263080786,
      0.0240063598029642,
      -0.0878748135534677,
      -0.34736056798423,
      0.514600786201763,
      -0.172723741387868,
      -0.0109029057437788,
      0.213100325694089,
      -0.365352305249653,
      0.207929602058219,
      -0.0734412465673427,
      0.044456840786104,
      0.00369068142286768,
      -0.285567075550183,
      0.694051975647662,
      -0.177938858609985,
      -0.415755955618467,
      0.325157390619047,
      -0.285053173968342,
      -0.0510823317177019,
      0.462872121663411,
      -0.244518004107092,
      -0.00319234315509036,
      0.0544340720950902,
      -0.309781779161685,
      0.576682864251708,
      -0.309397701379205,
      -0.0730996961791327,
      0.267970964518498,
      -0.0401072050053727,
      0.109778467852671,
      -0.327002381322368,
      0.0995164733433609,
      -0.0518525060451296,
      0.0424759141510318,
      -0.454914629743844,
      0.308094475557906,
      0.193975416261373,
      -0.134408702296054,
      -0.171049388592659,
      0.133108514479144,
      -0.130436063527005,
      0.33804653201015,
      -0.160406172477139,
      -0.00738507553827671,
      0.0972649720200442,
      -0.222309107234247,
      -0.000314604147863049,
      0.237953611895147,
      -0.35256779647135,
      0.296786583250792,
      0.178412684759051,
      0.0116241788901663,
      -0.22910875089418,
      -0.0127522428420043,
      0.0756779180026211,
      0.0318232783104363,
      0.0105218806610193,
      0.156552120370094,
      -0.341476960351637,
      0.0792015549560552,
      0.191326702103141,
      -0.291228234752088,
      0.261807801357404,
      -0.202324197035951,
      0.0855116715313764,
      -0.064049350021698,
      0.0198009494818292,
      -0.203075741495426,
      0.226640177841316,
      0.125279524789011,
      -0.349263586635089,
      0.132700586405562,
      0.257976738857849,
      -0.0820913922035712,
      -0.239878594965958,
      0.0144514334272141,
      0.00216757262049594,
      -0.169783391843006,
      0.295033979909153,
      0.158236585555455,
      -0.270653969969215,
      -0.00868350049715478,
      0.242696034748542,
      0.0647743903633843,
      -0.0810785320145597,
      -0.289077450642655,
      0.189561169081045,
      0.231216914078324,
      -0.369054448334763,
      0.219172529642744,
      -0.099765814554243,
      -0.0151044307756029,
      -0.176760788618999,
      0.50777618454646,
      -0.294705160334215,
      -0.138467948538728,
      0.0298671209352702,
      0.123867104704112,
      0.0422387797533198,
      -0.0986423379219658,
      0.069382076421827,
      0.245534511588066,
      -0.17406050114938,
      0.0554490021438214,
      -0.118674276138639,
      -0.000720350447607738,
      -0.0806308518529784,
      0.132068784239661,
      -0.0120067556104249,
      -0.245209560365927,
      0.023165446421718,
      0.144382362400601,
      -0.151324050107314,
      0.0639936986297933,
      0.0280302363698339,
      -0.0311375507440854,
      0.304904680205573,
      -0.184612766329304,
      -0.091704146106695,
      0.151181622256794,
      0.0900350947922361,
      -0.16049347112455,
      0.0326080262595929,
      -0.232398099859914,
      0.134094981417416,
      0.201128114469479,
      -0.0717005828355816,
      -0.0458620433011202,
      -0.0551880247052383,
      0.00466115860145852,
      0.021141357149663,
      0.00000476339150038268,
      -1.43585540282995e-15,
      3.12250225675825e-17,
      -0.00339667801454403,
      -0.236702283532643,
      0.122368179808844,
      0.272769642464495,
      -0.0625100264602147,
      -0.194997272733605,
      0.0856889158997028,
      0.318175483429749,
      -0.433210878260515,
      0.501011901812306,
      -0.240806243659459,
      -0.207690033208843,
      0.350054713648495,
      -0.28110973015538,
      0.00564695317500279,
      0.0436612775330815,
      0.0464215661974809,
      -0.317227307896372,
      0.416465694530207,
      -0.565593914089325,
      0.143855547393774,
      0.348141710154083,
      0.0706247912385374,
      -0.336520598041437,
      -0.116075220479438,
      0.170550403677483,
      0.158915369034915,
      -0.194602149534532,
      0.0478020841470897,
      0.589865071602653,
      -0.276908079118392,
      -0.376432413188042,
      0.4177946116125,
      -0.191607468448035,
      -0.178548247130049,
      0.241235540607692,
      0.0236692470488597,
      -0.217384199413518,
      0.248887755653762,
      -0.267345047923818,
      0.00796703009072549,
      0.216830065459663,
      -0.132002004560477,
      -0.675276405121754,
      0.80860451415832,
      -0.118616606413795,
      -0.0393367263741899,
      -0.0878262180105331,
      -0.0737759525286533,
      0.19119269984181,
      -0.0040093650481219,
      -0.0952412381773935,
      0.0956836328480172,
      -0.125412424746386,
      0.00745602351537286,
      0.253136699506642,
      -0.149378018728049,
      -0.00923066189563471,
      0.381981629156906,
      -0.45193501857238,
      -0.487529574049064,
      0.689965942279266,
      -0.237111517562311,
      0.155440987182683,
      0.0286734275877343,
      -0.198289329729431,
      0.304999389015915,
      -0.522397026019479,
      0.634043148033226,
      -0.406117746301987,
      0.246868682870712,
      -0.0572437904884366,
      -0.174805041402238,
      -0.0133436398402561,
      0.0826177721768944,
      -0.0532446288393926,
      0.217112338202289,
      -0.450754800169768,
      0.703418050759837,
      -0.35246902922566,
      -0.306055870722415,
      0.568124126273552,
      -0.448129567195768,
      0.339216012585642,
      -0.357672753229792,
      -0.0776837724389807,
      0.330471165112404,
      -0.467071403201285,
      0.584620996002723,
      -0.0889808691045879,
      -0.413858204682068,
      0.407878162660338,
      0.0217364879731191,
      -0.167020712827397,
      0.197588029238029,
      -0.36976581297517,
      0.307881808062232,
      -0.378031630668629,
      0.485979863256506,
      -0.459497537796235,
      0.544198539196085,
      -0.284195610121392,
      0.118414401139879,
      -0.123645239803428,
      -0.0418624459534713,
      -0.136209770382017,
      0.296712639728801,
      -0.0920917845276202,
      -0.0885341565537213,
      0.130150310923033,
      -0.174417614115113,
      0.360134153228941,
      -0.0866631003987309,
      -0.476442411527986,
      0.285315503381242,
      -0.0607364370951849,
      0.157737170720925,
      0.0226613814860404,
      0.0849576211369812,
      -0.265169626104518,
      0.315912275427927,
      -0.316773224921291,
      -0.207777014507101,
      0.363691851602351,
      -0.227520328563291,
      0.217371674477765,
      -0.141492802989293,
      -0.115210596079482,
      0.0598338654931512,
      0.251973262580807,
      -0.00821048089258322,
      -0.439523106702017,
      0.181853970847681,
      -0.212341515783511,
      0.556786782301183,
      -0.119171199300299,
      -0.44610996150227,
      0.534002413337227,
      -0.298554224638052,
      0.205444233293687,
      -0.0842917742378059,
      0.0616441258662515,
      0.0234239914142143,
      0.0657212946896061,
      -0.242680664738234,
      0.292260863754462,
      -0.206542061960328,
      0.240752276842614,
      -0.203679562762383,
      -0.13190936615061,
      0.252245751351441,
      -0.0862325749224621,
      -0.352018227041672,
      0.130658778235276,
      -0.045760577026811,
      0.407038240587242,
      -0.302190203842702,
      0.11654339955972,
      -0.0635486104979056,
      -0.0653482098613768,
      -0.0951960004011211,
      0.322960936365861,
      0.123759087566614,
      -0.268145499620061,
      -0.195279442603512,
      0.319740186407037,
      -0.311794105784092,
      0.440714012764411,
      -0.255161249868111,
      -0.142020592793598,
      0.136169670479259,
      0.351978087469038,
      -0.183040182313993,
      -0.179414500049508,
      0.0252560198437234,
      -0.0116613817720699,
      0.18913319073025,
      -0.0292402384503987,
      -0.110973823518614,
      -0.183207540263253,
      -0.0292874730340244,
      0.352631084311548,
      -0.156993670323106,
      -0.0457281062759174,
      -0.0137860321791547,
      0.0398392201001649,
      0.0277569151397926,
      -0.0866243081431017,
      0.0603215793047385,
      0.145713371895018,
      0.229465906633754,
      -0.407848871364195,
      -0.201244770806518,
      0.283545116588806,
      0.0000445562821788357,
      -0.173772475486813,
      0.271371326944605,
      -0.317000999720634,
      0.0148519385708587,
      0.376652900402315,
      0.135469989372615,
      -0.393736580505518,
      -0.101212968206148,
      0.203322409887333,
      -0.0728963221267431,
      0.252388529687102,
      -0.308257987234896,
      -0.00499561928153069,
      -0.103772566838404,
      0.0925561302257208,
      0.216313339596519,
      0.0208420765437083,
      -0.149127670641202,
      -0.15496340649749,
      0.168785518963973,
      0.188632360234812,
      0.0318795179072746,
      -0.483967117121036,
      0.436299421720813,
      -0.324917940446749,
      0.450590389535389,
      -0.171527873647527,
      -0.245171142610993,
      0.0730931551505721,
      -0.209885470475176,
      0.476294915847965,
      -0.24689191871861,
      -0.289762442173467,
      0.350836889041,
      0.209387951763761,
      0.0382721298787866,
      -0.350279041435345,
      -0.0586093718866185,
      0.199538400144079,
      0.0742886836969805,
      -0.244631828280199,
      0.0968781583145091,
      0.100485660220338,
      -0.0229059387716798,
      -0.0923811883341692,
      0.043666501554325,
      0.259627934316935,
      -0.671721475571676,
      0.685922803370637,
      -0.368116259619161,
      -0.0761684707442722,
      0.394096909914733,
      -0.644261702277512,
      0.685339817917633,
      -0.73038038214334,
      0.252689098809304,
      -0.0407279007235267,
      0.395029711351978,
      0.0882895662784408,
      -0.181722063835964,
      -0.409744741754223,
      0.193348723862927,
      0.130708960154475,
      0.00813956297011068,
      -0.138834045213161,
      0.413448184100061,
      -0.217753003411245,
      0.163334896596409,
      -0.128223826415989,
      0.00782955455168515,
      0.0155997023518622,
      -0.18694382118724,
      -0.0925185663549712,
      0.137264612289352,
      0.304523211490714,
      -0.0605991665496794,
      -0.18638340767543,
      -0.0598242721194911,
      -0.253786770997407,
      0.307733054237743,
      -0.0970893090185435,
      0.359345316818459,
      -0.207959868584287,
      0.00436257055018418,
      0.2270647058816,
      -0.405463912559949,
      0.363076210721153,
      -0.166095053766865,
      -0.331900286892477,
      0.544373289541781,
      -0.0378426776011837,
      -0.432448672653337,
      0.428420760397381,
      -0.130744222067059,
      -0.486085430059475,
      0.145103780063464,
      -0.114797401353295,
      0.484145847827196,
      0.215853940406139,
      -0.299651151440302,
      -0.20934663603709,
      -0.0104513816041743,
      0.343366636073641,
      -0.146027211267119,
      -0.192831501253451,
      0.266157121733756,
      0.0732379971084742,
      -0.301583159327091,
      0.127823792010583,
      -0.326113241364652,
      0.178185377522419,
      -0.373039138317688,
      0.683278334706375,
      -0.0116180042968545,
      -0.0396935753010261,
      -0.154331578392721,
      -0.229961555455369,
      0.409122039137767,
      0.105866823221298,
      -0.703344624518123,
      0.385620467868255,
      0.149386611659208,
      -0.0493560121555669,
      -0.125460854833452,
      -0.452777513042721,
      0.643157143988599,
      -0.285128310930412,
      0.0254974519823332,
      0.135860192961847,
      0.0663578427873169,
      -0.09502707823983,
      -0.359493044283748,
      0.555650993900893,
      -0.0175675086239568,
      -0.188565477230391,
      -0.128273722701672,
      0.194563122871736,
      0.285056576575465,
      -0.378911422359712,
      0.127781918324127,
      -0.180949650003053,
      -0.0259158310539989,
      0.0839393696803078,
      -0.0942864847659419,
      0.103098575692803,
      0.0716738070958982,
      -0.170115466530425,
      0.229557219911751,
      -0.0231840422001396,
      -0.218760271822758,
      0.321478108531944,
      -0.124428885225237,
      0.0700099122843075,
      -0.570252121316043,
      0.50805076458204,
      0.154349932841948,
      -0.308704613866922,
      0.252975373716506,
      0.0383278514625901,
      -0.264836888259203,
      -0.0255747502556109,
      0.229754189286796,
      -0.0709519248928856,
      -0.130196758590105,
      0.356725018484665,
      -0.404603193260103,
      0.601921968565039,
      -0.449882618764317,
      -0.0453567984697771,
      0.0154997132355131,
      -0.196971804193548,
      0.535006936586959,
      -0.22289452275013,
      -0.228392418489659,
      -0.0308357889494263,
      0.202994832605829,
      0.139420270034219,
      -0.289735055699198,
      0.0248119399173995,
      0.206751190774098,
      -0.209467649772548,
      0.163985685659352,
      0.193241582548281,
      -0.259545091818423,
      0.0294066298790186,
      0.0385605209708009,
      -0.11577536126005,
      -0.0341642903121259,
      -0.0715442746763563,
      0.250470890501628,
      -0.0581635507704388,
      0.000036092780093829,
      -0.0537262660655661,
      -0.103891834418255,
      0.209544388045561,
      0.388719677463037,
      -0.828815598976768,
      0.42904561645846,
      -0.276012578194066,
      0.13961692188722,
      0.1024759670991,
      -0.162948360750686,
      -0.113997861709428,
      0.0524208230344731,
      0.336127092266357,
      -0.302319427358508,
      0.0354995549216539,
      0.240763493630856,
      -0.0723225221316401,
      -0.126596772811115,
      0.0520888442341232,
      0.128739828457804,
      0.250116168283052,
      -0.513062729763446,
      -0.0422629040173625,
      0.274554109966667,
      -0.194214223735594,
      0.147569768115735,
      -0.0597796000857505,
      -0.0117625370332985,
      0.405558035224776,
      -0.576510850156061,
      0.233676784014071,
      -0.175320746675529,
      -0.0123434575161037,
      -0.00291811137104245,
      0.143850253277922,
      0.230753089150752,
      -0.149196120617296,
      -0.387580603873073,
      0.558691026594705,
      -0.206598587822426,
      -0.150368962634878,
      0.0864104736472839,
      0.0145716672321156,
      0.253833898536194,
      -0.174738731358062,
      0.00578728355262574,
      -0.0988066525307468,
      0.029805295913199,
      0.0531471593854301,
      -0.286096455348686,
      0.171355847078153,
      0.197773018114212,
      -0.121725249900727,
      0.0298891305429532,
      -0.0798384570118169,
      0.00364818127286232,
      0.020245682128968,
      0.00000476326283985543,
      -1.43725970278669e-15,
      2.94902990916057e-17,
      -0.00339658626932763
    ],
    "spectral_entropy_curve": [
      0.302791266425929,
      0.410830956171845,
      0.419022454986751,
      0.350738865587301,
      0.304571684908845,
      0.368268714166809,
      0.382464787645796,
      0.352284784998352,
      0.320858298044856,
      0.291051177704281,
      0.30651878675394,
      0.53300375444109,
      0.599243832091854,
      0.293237809622071,
      0.417062199444194,
      0.394052582380967,
      0.289670290955396,
      0.292513753221832,
      0.434808705168652,
      0.260894604999894,
      0.471015609738662,
      0.406836955721465,
      0.466778765830857,
      0.42239173619008,
      0.432383239697203,
      0.443587709550511,
      0.440334257009644,
      0.290892007014029,
      0.361205827924056,
      0.405036062371197,
      0.360168227108101,
      0.371724136281086,
      0.30963993281291,
      0.321257492220142,
      0.496930240128866,
      0.427294472746213,
      0.379306599332426,
      0.497098257937806,
      0.366981612859826,
      0.324270608196689,
      0.427415158577448,
      0.407156266214963,
      0.405353731800149,
      0.545405600114232,
      0.51609456005049,
      0.376346080582103,
      0.37132267500127,
      0.26912797348097,
      0.268368855745969,
      0.266871693451982,
      0.285502625734002,
      0.296847488269724,
      0.301418230029917,
      0.335294187497104,
      0.476078581854046,
      0.374296449000096,
      0.469178088390427,
      0.460768158129037,
      0.473033113990804,
      0.39006860435896,
      0.425050839971835,
      0.333168829424672,
      0.384122583839903,
      0.49465714172171,
      0.26666067471242,
      0.365447084013271,
      0.489638755033693,
      0.352812173535965,
      0.353971402615503,
      0.405136611515194,
      0.321164431369254,
      0.382110680287684,
      0.38376636168646,
      0.466298472167864,
      0.489854573335545,
      0.484095631960307,
      0.350645506342515,
      0.43788542496557,
      0.433078891981043,
      0.385861067655525,
      0.462454053977086,
      0.344152305833052,
      0.342814492833923,
      0.380450828319523,
      0.36999304502711,
      0.358298215697673,
      0.363883869016514,
      0.30216719205131,
      0.373991211712983,
      0.303020096667935,
      0.453413912380183,
      0.410659825935593,
      0.427673879609244,
      0.501326473867155,
      0.479650262278023,
      0.430070498294779,
      0.387490779888867,
      0.434709729211667,
      0.473700922014719,
      0.454822846820667,
      0.474197380508988,
      0.37592996830249,
      0.418649872226297,
      0.461634268908158,
      0.38490091239294,
      0.465848015302029,
      0.445994170805966,
      0.327537987150502,
      0.385084911483006,
      0.270356710531534,
      0.400323683895483,
      0.452220264006534,
      0.320220751360333,
      0.369611844621764,
      0.448117189654671,
      0.367049941905683,
      0.506885309665461,
      0.461611222403423,
      0.459138867134535,
      0.464044031031711,
      0.52143842177216,
      0.423309106365705,
      0.563311560607256,
      0.431309312508641,
      0.374866869389749,
      0.418387181112722,
      0.506025116083134,
      0.403583425936301,
      0.479632571866867,
      0.47025650492341,
      0.361181917115361,
      0.499352367755709,
      0.394747088886648,
      0.358577111567077,
      0.469314890335823,
      0.402794728386061,
      0.405675025114117,
      0.451229256575092,
      0.392926830775225,
      0.486359222364767,
      0.470401943661477,
      0.456550092627234,
      0.43936232983715,
      0.461129605193278,
      0.439543639897822,
      0.348175926595115,
      0.358743688340134,
      0.399509425853359,
      0.418073993297609,
      0.520369890154606,
      0.389080787084937,
      0.339261626409251,
      0.475750743569327,
      0.364711249564125,
      0.409591327869821,
      0.474619929301081,
      0.401263312786879,
      0.374828413687842,
      0.316055589341054,
      0.283978758777393,
      0.394896904563607,
      0.386224162564198,
      0.365493346593042,
      0.479541321016302,
      0.3638503156031,
      0.494958244191779,
      0.493630767808422,
      0.392281928178534,
      0.397552631691396,
      0.393343069679481,
      0.379338820325189,
      0.385917040759664,
      0.501718685698106,
      0.278466546337879,
      0.374963635324173,
      0.439820708795216,
      0.341247153974095,
      0.450622935151949,
      0.416932322220906,
      0.279056203243808,
      0.379578260055282,
      0.336197888594959,
      0.474105063603799,
      0.465457697441737,
      0.48022055944151,
      0.533323491368503,
      0.518526339362289,
      0.500389277369757,
      0.361469124453633,
      0.42400337481348,
      0.465339447391563,
      0.421223623016292,
      0.426683651991024,
      0.351464098903272,
      0.458606229274816,
      0.480887558456635,
      0.43418229991194,
      0.528519868379031,
      0.373563359028165,
      0.341755128662769,
      0.407080474059614,
      0.304262814597505,
      0.297957952288497,
      0.443506249997935,
      0.425829305395996,
      0.317293979282728,
      0.381596435452664,
      0.34717324817567,
      0.501922894825011,
      0.470356348383425,
      0.431762647387198,
      0.530101359793874,
      0.514148937495491,
      0.480072614196936,
      0.530641810358799,
      0.483787638411219,
      0.328734868783573,
      0.504017249059195,
      0.454643261182972,
      0.464352473825397,
      0.483495511984537,
      0.36598895493749,
      0.390866332694663,
      0.368829594574993,
      0.323535539886612,
      0.348522458587913,
      0.443932337885731,
      0.391675670761337,
      0.351971383814612,
      0.418909927120095,
      0.432978552419702,
      0.449745211944863,
      0.424880578090253,
      0.354217142683628,
      0.453057074837206,
      0.426187283412111,
      0.386719933589268,
      0.36340606163586,
      0.430322152335899,
      0.493396790939862,
      0.565125570730455,
      0.543300978056989,
      0.540547761401616,
      0.480363680853551,
      0.47141515825564,
      0.49191536540785,
      0.450813736870521,
      0.401980242301137,
      0.402813346745787,
      0.421714528204639,
      0.45669450262056,
      0.434281274046497,
      0.491540614204503,
      0.44440584608045,
      0.432336099059213,
      0.50980762364815,
      0.478308008239559,
      0.518964297297777,
      0.513177476084171,
      0.371347867690687,
      0.454556219695964,
      0.397691002687104,
      0.437763134254008,
      0.465180334634191,
      0.42001263650951,
      0.44107665887744,
      0.467815201708731,
      0.476072224414175,
      0.340973223713642,
      0.476563497612721,
      0.425309232952692,
      0.412840998688586,
      0.517594582953052,
      0.388158781361274,
      0.331031599285139,
      0.390303922687752,
      0.370323449575875,
      0.434779125479586,
      0.419269845757744,
      0.433451756734614,
      0.448372714839919,
      0.393889301890739,
      0.483055546445339,
      0.497655756671158,
      0.554680773512803,
      0.337177688938643,
      0.527390157658468,
      0.531561228354683,
      0.454224008627507,
      0.425291026469091,
      0.37398003628029,
      0.400214425423327,
      0.411925282127976,
      0.299446530156726,
      0.377595137398963,
      0.43954691232769,
      0.400333712622024,
      0.39175120978344,
      0.50092950781296,
      0.446476937862606,
      0.497963507789066,
      0.533175005092592,
      0.503545687670072,
      0.516160074105078,
      0.497733458705991,
      0.453817472136173,
      0.58682202326803,
      0.471946228756606,
      0.370272328165145,
      0.480006327434335,
      0.512843656935021,
      0.48932238911162,
      0.499756602089774,
      0.418690056662918,
      0.336351948794924,
      0.383497342820259,
      0.466208300567094,
      0.381742134554953,
      0.401444245880686,
      0.36711207779482,
      0.362199109039338,
      0.486131085243726,
      0.425385491665445,
      0.413681069867225,
      0.411512561597568,
      0.427384163878463,
      0.451680012147995,
      0.463764685985573,
      0.463498176190714,
      0.431372787338265,
      0.365771983235508,
      0.410830454779993,
      0.363782848749177,
      0.35897853232251,
      0.422393229845882,
      0.401098722228379,
      0.475074694522301,
      0.425111006263635,
      0.453498175024302,
      0.532185446344577,
      0.335290864847823,
      0.408851452845192,
      0.492165868601316,
      0.3926091645859,
      0.516557083866212,
      0.410204081625275,
      0.471809597376942,
      0.517181904066294,
      0.489153572581675,
      0.523752529106409,
      0.521538237239355,
      0.435389754431676,
      0.468870993499778,
      0.41273284376683,
      0.38750257870709,
      0.489015253664528,
      0.522290027610964,
      0.445037597823798,
      0.505285944628187,
      0.381761847289761,
      0.406648186079643,
      0.487739782989497,
      0.376554404272614,
      0.422727052686585,
      0.48339011568447,
      0.465787774145631,
      0.426793861854104,
      0.482630463279075,
      0.415051209407323,
      0.472631497612523,
      0.425111587922273,
      0.46173698471038,
      0.448232991202239,
      0.444287614522622,
      0.513330084763628,
      0.426075750306479,
      0.350679623769487,
      0.35332702661513,
      0.48670948053613,
      0.485860142632003,
      0.434858386842405,
      0.500411221655733,
      0.385648646386662,
      0.384133491056954,
      0.510546814430098,
      0.511928740840335,
      0.405781668219094,
      0.472655234182942,
      0.438965764892626,
      0.441824606223612,
      0.423390347556458,
      0.50001142206842,
      0.525701046800401,
      0.503499269422046,
      0.395905659471278,
      0.500523075741542,
      0.455441241406945,
      0.424622362552756,
      0.492051129858429,
      0.454460905259842,
      0.385952162891235,
      0.525510782999556,
      0.499905149003886,
      0.427192242252299,
      0.553160358598583,
      0.524666908841531,
      0.445045192631579,
      0.430707043351561,
      0.416034912320413,
      0.375346611855875,
      0.405554935161806,
      0.455003354534378,
      0.430808567648854,
      0.433905273725668,
      0.463843865031166,
      0.443634512626638,
      0.441777565470251,
      0.43303784826026,
      0.519165220454777,
      0.457060530947461,
      0.449333152957331,
      0.460659266933138,
      0.47373899444676,
      0.29879169312905,
      0.470939085780451,
      0.484945675455907,
      0.493310111749744,
      0.472058093615213,
      0.360648656592256,
      0.434871442427204,
      0.495286241742136,
      0.489886505036767,
      0.543443794621109,
      0.494050197825605,
      0.445318465836985,
      0.549914442336926,
      0.348868886905239,
      0.407136509782756,
      0.387952927170101,
      0.468656076378322,
      0.409354270900345,
      0.37585739691655,
      0.227400634921698,
      0.0807595890842031,
      0.0721826474803595,
      0.0721826474803595,
      0.0794871414630185
    ],
    "spectral_skewness_curve": [
      0.877965767243158,
      0.822795393450567,
      0.903519757946025,
      0.895913779621747,
      0.979521933847609,
      0.984037452843162,
      0.993683477932393,
      1,
      1,
      1,
      1,
      0.812534978933649,
      0.817339033411414,
      1,
      0.990847961605702,
      0.970079546153857,
      0.984686309985324,
      1,
      0.989266784991145,
      1,
      0.996826398289882,
      0.938555812796152,
      0.942990650043423,
      0.964467827955464,
      0.935803092037507,
      0.938860406674516,
      0.948047275590546,
      0.986285154795805,
      0.944048995716519,
      0.986313273813943,
      0.909507112920411,
      0.987548657406319,
      1,
      1,
      0.871491105621514,
      0.957946829455111,
      0.867139804256626,
      0.769279835381493,
      0.99920806222155,
      0.999203929562469,
      0.924851052636276,
      0.936866672783174,
      0.972624506753829,
      0.972914114939563,
      0.990444472277528,
      1,
      0.995551545710508,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.976915197144393,
      0.997297008075448,
      0.912925846426391,
      0.993217482339228,
      0.998915394676921,
      0.987317361907272,
      0.994126221385325,
      0.997518870513289,
      0.995176525484651,
      0.967339733017113,
      1,
      0.942769466435438,
      0.791935631860055,
      0.998778626759792,
      0.984264286361336,
      1,
      1,
      0.977438634844455,
      0.952815796267617,
      0.977687010836344,
      1,
      0.893158752026235,
      0.999617796296142,
      0.988576838935404,
      0.932766113571186,
      0.862712973216297,
      0.937264579179309,
      0.991531570810861,
      0.998105705022827,
      1,
      1,
      0.982202091699377,
      0.98117382136849,
      0.999564328768343,
      0.981516250055358,
      1,
      0.999530195532401,
      0.959460949777462,
      0.988403824051532,
      0.955742991965846,
      0.977330994235305,
      1,
      0.999683890921721,
      0.974482415737124,
      0.990658691866056,
      0.997955347033488,
      0.97352158985158,
      0.990234249485429,
      1,
      0.969455542880869,
      0.995137293715247,
      0.994001467487223,
      0.996225218971791,
      1,
      0.999453594775164,
      1,
      1,
      0.975165603931807,
      1,
      1,
      0.931502908376003,
      0.979833970146764,
      0.928440758847022,
      0.957297918177465,
      1,
      0.971156639592902,
      0.912013966278281,
      0.958908058287652,
      0.801200421634662,
      0.99464330301331,
      0.991086521034165,
      0.989921913460331,
      0.955547053927334,
      0.992064819599097,
      0.996264549362981,
      0.999857590175903,
      1,
      0.98143395211081,
      0.999735643227753,
      1,
      0.961279916877915,
      0.892812478605706,
      0.921282647146564,
      0.918001516705498,
      0.957503899819189,
      0.824044643451347,
      0.982939394165644,
      0.914254541302574,
      1,
      0.965484133617189,
      0.999974445569046,
      1,
      1,
      0.960012727160039,
      0.899727527479185,
      0.860240450812802,
      0.971140688075309,
      0.977528126302626,
      0.884860098392453,
      0.952848518370474,
      0.979396927347953,
      0.942533470768166,
      0.94005926732989,
      0.998642118663369,
      0.990888720428659,
      1,
      0.993178865476594,
      0.965800525428288,
      0.993480218567187,
      0.970097217274418,
      1,
      0.895177986766113,
      0.974050207378602,
      0.962203702707596,
      0.992372359328014,
      0.948148635837945,
      1,
      0.991757270019856,
      0.958986503324964,
      1,
      0.989105461814555,
      1,
      1,
      0.984485196618247,
      0.945668656841577,
      1,
      1,
      0.997537329413532,
      0.935590160120295,
      0.953391050002101,
      0.987847001526086,
      0.889874291908802,
      0.867845295325174,
      0.954095696577457,
      1,
      0.957776986427532,
      0.945951473597323,
      0.959665914784839,
      0.975330270011888,
      1,
      0.955337831821312,
      0.944055240096474,
      0.976209942785744,
      0.926998350109872,
      0.974587859256414,
      1,
      0.98813830955322,
      1,
      1,
      0.974619169383652,
      0.999007277110747,
      1,
      1,
      1,
      0.948946900482067,
      0.981211023071223,
      0.935940837165821,
      0.923114325419913,
      0.834160788071065,
      0.905798841456215,
      0.895981937879026,
      0.93158195506136,
      0.997625807527319,
      0.918446975446941,
      0.983488134142261,
      0.896630548210033,
      0.901239298485905,
      0.976449664308681,
      0.994383840820841,
      0.995196947555597,
      1,
      1,
      0.962492519719074,
      1,
      0.997049545797632,
      0.98589626214562,
      0.990027146876445,
      1,
      0.999855449041777,
      1,
      1,
      1,
      1,
      0.971458298987762,
      0.936086858514359,
      0.806754286899565,
      0.758837845109456,
      0.671748937047567,
      0.872633998336094,
      0.866746188140625,
      0.886498406074738,
      0.820024862074894,
      0.973004216929802,
      0.988370082101425,
      0.931033923798001,
      0.87531824108996,
      0.920353081355703,
      0.925847283122411,
      0.902960750102791,
      0.982540403117952,
      0.985469895421572,
      0.938029088741017,
      0.982263318802403,
      0.911499734432568,
      0.874153418115735,
      1,
      0.994263389219286,
      0.993306942564666,
      0.997627589408073,
      0.963874574043974,
      0.980190130247282,
      0.985009137397647,
      0.994989988886558,
      0.97096958044386,
      1,
      0.982120651828579,
      1,
      0.893036968719301,
      0.825098080756294,
      0.985171070879358,
      0.969688039698848,
      0.985722162767024,
      0.98296898911159,
      0.879809241149309,
      0.985271863610319,
      1,
      0.995027477640819,
      0.990413491571396,
      0.990261771260469,
      0.947197005242158,
      0.858018866780224,
      0.974756665913158,
      0.885561300642664,
      0.891586894621337,
      0.957612086823873,
      1,
      0.996065310272832,
      0.984828718725301,
      0.999290482506734,
      1,
      1,
      0.983219820856896,
      1,
      1,
      0.903719171328784,
      0.997546070025614,
      0.969436523033894,
      0.95018585362539,
      1,
      0.923193498147076,
      0.946146380306916,
      0.960435605040636,
      0.790312508862551,
      0.97664861096712,
      0.999455926129102,
      0.953389815902666,
      0.982807045309497,
      0.970626352830703,
      0.984323806904928,
      0.99372666356151,
      0.99775634708185,
      0.999519606446099,
      0.993755554208805,
      1,
      0.994353178783385,
      1,
      1,
      0.964707806047388,
      1,
      1,
      1,
      1,
      0.959423711996921,
      0.990237651174451,
      0.940857497239898,
      1,
      0.999805440648262,
      0.991499290645985,
      1,
      1,
      1,
      1,
      0.997568285325318,
      1,
      1,
      0.961672711514902,
      1,
      0.975115757664467,
      0.876687893915845,
      1,
      0.889507047629737,
      1,
      1,
      0.978401246020298,
      1,
      0.957983578637417,
      1,
      0.987627565757482,
      0.974708280193084,
      0.958731800902625,
      0.980168989827605,
      0.895601713517202,
      0.876758056064202,
      0.942154369619549,
      0.936954282551997,
      0.991394254844145,
      1,
      0.947540674083294,
      0.977573868743181,
      0.89652158944927,
      0.867696594863411,
      0.939016651797759,
      0.959917550213844,
      0.909397164852014,
      0.996986590800117,
      0.986512787810814,
      0.999747102773239,
      0.952469435793275,
      0.984624834305039,
      0.998952060137759,
      1,
      1,
      0.999718627429381,
      0.944220356950148,
      0.975296795715985,
      0.963512182215866,
      0.97990847099082,
      0.977768268275597,
      0.976665016177673,
      0.993629183839233,
      0.97785684210605,
      0.99580713407366,
      0.995537960616393,
      0.984916204883328,
      0.997859903214711,
      0.875368349980577,
      0.906222105227046,
      0.997102905285102,
      0.914434689472348,
      0.931387027063873,
      0.979114892399786,
      0.913448053878022,
      0.994453645726611,
      0.99520308559599,
      0.983372943999209,
      0.961664332206189,
      0.994583666441715,
      0.882416208518843,
      0.89492574323544,
      0.977234380648189,
      0.879691708619073,
      0.944067371989321,
      0.860286081986399,
      0.805805373867988,
      0.943452407698889,
      0.987225363193397,
      0.992660172958382,
      0.979969070915871,
      0.986773790175432,
      0.988869583591965,
      0.99423406060675,
      0.980875853384354,
      0.982703886852056,
      0.984223330748872,
      0.960665490562664,
      0.992104542686087,
      0.920567088484227,
      0.8971036778921,
      0.959859568640323,
      0.941082742727475,
      0.937667888631333,
      0.913152668961173,
      0.973620501891359,
      0.96379650445382,
      0.996729376805528,
      0.988785602428846,
      0.988241337916425,
      0.963167893814518,
      0.909657538184694,
      0.961462242397,
      0.994275951748754,
      0.85110100089739,
      1,
      1,
      0.999090953197001,
      1,
      1,
      1,
      1,
      0.95238095509696,
      0.750000014259261,
      0.750000014259261,
      0.775000012833335
    ],
    "spectral_kurtosis_curve": [
      0.615534923946279,
      0.779822840082254,
      0.852793685432865,
      0.951664055981707,
      1,
      0.940329399185708,
      0.961732478481411,
      1,
      1,
      1,
      1,
      0.541188055406882,
      0.538498877350418,
      1,
      1,
      1,
      1,
      1,
      0.977693484057647,
      1,
      1,
      1,
      0.933956443408782,
      0.894721330562943,
      0.849210947740654,
      0.886947807556699,
      0.839154197947491,
      0.996438617542157,
      0.835306282547279,
      0.976912721337571,
      0.84475837085166,
      0.968960631014341,
      1,
      1,
      0.670097515220167,
      0.867481385442267,
      0.763856506690638,
      0.481975622121675,
      1,
      0.990529682927685,
      0.824324231290857,
      0.985871217744312,
      0.918117924709485,
      0.914676809445548,
      0.952066751540856,
      1,
      0.979506417256561,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.937539407187177,
      1,
      0.996054851326731,
      1,
      1,
      1,
      0.96306846727685,
      1,
      0.986499254427738,
      0.894967293710524,
      1,
      0.861169158204107,
      0.563061237539132,
      1,
      0.932912691960763,
      0.992212465813602,
      1,
      0.920462810187666,
      0.893610800714485,
      0.989589168230403,
      0.99393436932283,
      0.790750910168047,
      0.985906634017959,
      0.950171023155384,
      0.924466583458802,
      0.828494419728568,
      0.976187538083263,
      1,
      0.995166872328609,
      1,
      1,
      0.938030736059407,
      0.929370343912269,
      1,
      0.929477952117973,
      1,
      1,
      0.936743283058514,
      0.962579834613353,
      0.878068272042461,
      0.958877631725692,
      1,
      1,
      1,
      1,
      1,
      0.993043935667502,
      1,
      1,
      0.948688663940443,
      1,
      0.968416460703074,
      1,
      1,
      1,
      1,
      1,
      0.926224767332381,
      1,
      1,
      0.836836133867919,
      0.996792977829386,
      0.822526211735736,
      0.910260116439496,
      1,
      0.921568191537964,
      0.845534132012881,
      0.98190572354638,
      0.573980286768045,
      1,
      0.98502624002258,
      0.984756085483404,
      0.917369561953693,
      0.997895339845919,
      0.983427795306924,
      1,
      1,
      0.959608713096548,
      1,
      1,
      0.907416851086453,
      0.968846315587328,
      0.91356729854217,
      0.799685143832336,
      0.892557061887515,
      0.625534751303004,
      0.956364669902189,
      0.867812562202988,
      1,
      1,
      0.995628681166582,
      1,
      1,
      0.885567439144025,
      0.754934189508171,
      0.645841962796784,
      0.958152687933698,
      0.945386352798873,
      0.710875719582606,
      0.888805731456052,
      0.943347392995191,
      0.940162426738627,
      0.850445618201902,
      0.989141080531008,
      0.98608028317497,
      1,
      0.96841034770804,
      0.907256878558196,
      0.988770873358429,
      0.946090400525704,
      1,
      0.745954357678525,
      0.955478571526111,
      0.911565379305505,
      0.964869407922902,
      0.88946360417624,
      1,
      0.97384173524409,
      0.933741098868113,
      1,
      0.953025790955404,
      1,
      1,
      0.9380075552693,
      0.884031207059152,
      1,
      0.996618106301713,
      0.978103410794197,
      0.826389584336285,
      0.87774207678588,
      0.977940491538529,
      0.718772103744588,
      0.645589652536112,
      0.926658163744751,
      1,
      0.883530348608415,
      0.873875491091734,
      0.899016673090476,
      0.938413759742218,
      1,
      0.917066315638201,
      0.87343826787464,
      0.952351791268681,
      0.825944329647744,
      0.973162571689464,
      1,
      0.988503353820906,
      1,
      1,
      0.92409989977752,
      1,
      1,
      1,
      1,
      0.886842843212829,
      0.964944340388388,
      0.856668678083833,
      0.817049137600214,
      0.557535192815807,
      0.718825633838583,
      0.763028131063744,
      0.84157447244834,
      1,
      0.746207759958616,
      0.947108390363157,
      0.724252771663344,
      0.761505783553422,
      0.943681401833668,
      0.98648508581905,
      0.982744565746745,
      1,
      1,
      0.889078200583699,
      1,
      0.993751653502606,
      0.963879838231552,
      0.992961551566094,
      1,
      0.997726421482311,
      1,
      1,
      1,
      1,
      0.94709747504209,
      0.824854310208758,
      0.551918365940965,
      0.567688368831675,
      0.293066845868774,
      0.809751357431268,
      0.720331548291312,
      0.741976859200605,
      0.547983122847483,
      0.926224574899821,
      0.972573952242083,
      0.834618473475276,
      0.734910532927742,
      0.805364558493997,
      0.940507100299183,
      0.909436970619376,
      0.975816482467842,
      0.950561907022459,
      0.941929997296242,
      0.958169478435362,
      0.802127525688471,
      0.742318128950141,
      1,
      0.968221894047901,
      0.964408158421025,
      1,
      0.984612930497559,
      0.968492238235008,
      0.990936679632264,
      1,
      0.930524467470688,
      1,
      0.997058445908204,
      1,
      0.791694463014901,
      0.606723596922188,
      0.975738475345696,
      0.9340412650507,
      0.969201435463886,
      0.994870408219789,
      0.727728105444676,
      0.967968971496797,
      1,
      0.990583003131088,
      1,
      0.97883802091915,
      0.85663516093707,
      0.676160902129613,
      0.964349016180403,
      0.753826381118747,
      0.749053953562294,
      0.902983587231845,
      0.999279859275104,
      1,
      0.958493607169616,
      1,
      1,
      1,
      0.965254225355598,
      1,
      1,
      0.907197709921368,
      1,
      0.921434755095589,
      0.882435639843328,
      1,
      0.81784932526529,
      0.927991500299658,
      0.938733095963501,
      0.552787605909694,
      0.930820002793804,
      1,
      0.918179556060642,
      0.941704387402808,
      0.923214416172535,
      0.966320741201457,
      0.996175833061033,
      0.992318329602171,
      1,
      0.985123982463042,
      1,
      0.966098893088762,
      1,
      1,
      0.929409229574385,
      1,
      1,
      1,
      1,
      0.907281445120123,
      0.982113505047425,
      0.878812775152434,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.977221037727678,
      1,
      0.929978605758791,
      0.772004880737992,
      1,
      0.879125437072166,
      1,
      1,
      0.958217407280496,
      1,
      0.969374631372024,
      1,
      0.963142863797454,
      0.999096166967426,
      0.972204408657889,
      0.991900680204788,
      0.790551501391777,
      0.793459768342052,
      0.862283859040259,
      0.868646155579573,
      0.999070608309974,
      1,
      0.898156933733626,
      0.985994149720474,
      0.857479744058333,
      0.759695705888087,
      0.956268884408681,
      0.915836225839219,
      0.843497222480754,
      0.9960965377497,
      0.97342598454696,
      0.994043626485692,
      0.905622247300604,
      0.957412996449467,
      0.996829101925765,
      1,
      1,
      1,
      0.931064234955167,
      0.941170139571889,
      0.918502682121828,
      0.977293318298428,
      0.9406775705944,
      0.980092971540514,
      0.986179902382192,
      0.949335428993655,
      0.975017422406917,
      0.98449176880065,
      0.949202411991501,
      1,
      0.72188343474345,
      0.835420827696013,
      1,
      0.874050777186587,
      0.905706382900638,
      0.997422900586172,
      0.945000970026751,
      1,
      1,
      0.99802203146969,
      0.957982058218739,
      0.995159340355093,
      0.770069979899232,
      0.719244212885329,
      0.949288720431304,
      0.739226532447924,
      0.946899769207824,
      0.829101363955066,
      0.57162585050221,
      0.860734487222608,
      0.980462446311293,
      0.973146673177537,
      0.96486068429786,
      0.987525272120905,
      0.991911334987928,
      0.998209832356077,
      0.945947188773008,
      0.961121614766369,
      0.965554615643244,
      0.887586548713798,
      0.969822923815499,
      0.873022215669436,
      0.807189604891547,
      0.912700979806833,
      0.884826339841271,
      0.839052796351406,
      0.753404811110539,
      0.950308844748011,
      0.904194153647396,
      0.991265861425916,
      0.977751033252361,
      0.957952122899698,
      0.873484663167782,
      0.744625943731918,
      0.897596457748797,
      0.993638309760809,
      0.619184445537389,
      1,
      1,
      0.990602416574585,
      1,
      1,
      1,
      1,
      0.845238099035297,
      0.187500019807694,
      0.187500019807694,
      0.268750017826924
    ],
    "mel_spectrogram_compressed": [
      0,
      0.471532563510524,
      0.716566286951877,
      0.385200730047452,
      0.255730112369367,
      0.868146626482795,
      0.797474002541773,
      0.36311154045581,
      0.279166246385404,
      0.575066625355999,
      0.364421603321274,
      0.221153685334106,
      0.765106384163912,
      0.682701454179932,
      0.367438102084627,
      0.589538861558527,
      0.480104269149809,
      0.291151061213353,
      0.197001326692748,
      0.632008905611038,
      0.535867156277152,
      0.29168648169962,
      0.785988690736593,
      0.389203818100491,
      0.263511607568459,
      0.350536614371982,
      0.449392508511025,
      0.78632782716058,
      0.40392086469652,
      0.652798535185352,
      0.364216195330709,
      0.294041002887708,
      0.803321978778016,
      0.384372724667037,
      0.289323023675245,
      0.2855323164301,
      0.509260012718927,
      0.276147075631627,
      0.170748341180883,
      0.69503389410959,
      0.627338440765863,
      0.345148573508612,
      0.853849935657493,
      0.451242546446467,
      0.248765233206525,
      0.255841011979868,
      0.52289083059474,
      0.416739595327922,
      0.345765788471557,
      0.695388934587015,
      0.629601481924794,
      0.459903897402623,
      0.80802208164861,
      0.789653238934676,
      0.448391602614732,
      0.627812191298917,
      0.567031968199414,
      0.830217021810655,
      0.771734935739606,
      0.656527984519513,
      0.587766363316264,
      0.84333865780941,
      0.766912568266802,
      0.656627982151472,
      0.516480153542001,
      0.727235548743183,
      0.818392285947597,
      0.647032485722646,
      0.502552782934007,
      0.689698824660104,
      0.768157309805031,
      0.681828342537624,
      0.83136557044951,
      0.783134347821467,
      0.350167933575459,
      0.765111484381561,
      0.82287350032784,
      0.451188131921007,
      0.718339991031426,
      0.577829531933363,
      0.574294781908254,
      0.575238656625404,
      0.705675679653491,
      0.628127589293569,
      0.428343505294119,
      0.89573935288873,
      0.658181941312468,
      0.729809000462912,
      0.639786984959942,
      0.574269259523731,
      0.718331508089307,
      0.770070414938277,
      0.740122487236764,
      0.765124394952963,
      0.261045127797257,
      0.780357261381758,
      0.800225985261814,
      0.457977055776059,
      0.744292313543349,
      0.590526819540238,
      0.730225249489974,
      0.550565401265877,
      0.721895800370787,
      0.778367309371153,
      0.751625875494311,
      0.854846882836191,
      0.672859286800439,
      0.754949751247699,
      0.641785929233495,
      0.693100098509899,
      0.757722170938384,
      0.676171830750887,
      0.770922665884459,
      0.867729984002139,
      0.720446283055971,
      0.667702656055068,
      0.687113320247572,
      0.587644280525403,
      0.8529636863868,
      0.767118482021386,
      0.766497386036946,
      0.806010021754126,
      0.803408978799691,
      0.712764777571056,
      0.576609750277626,
      0.565814968717162,
      0.882263321017753,
      0.519902656082686,
      0.555705729599953,
      0.666193898461042,
      0.793389608408666,
      0.864557691437113,
      0.790361278532258,
      0.753549357233807,
      0.750532598838932,
      0.714636321077991,
      0.619214182493777,
      0.760292165646741,
      0.5442356956173,
      0.673813187834743,
      0.777118296849654,
      0.696488491711028,
      0.790209146272467,
      0.536704562867232,
      0.518110745404559,
      0.585401922682903,
      0.75102639859893,
      0.584571111563053,
      0.763390557105229,
      0.72807578864168,
      0.61160397584017,
      0.731644027244656,
      0.824733197623226,
      0.531166794090391,
      0.694251026991358,
      0.526719588560526,
      0.515794405769015,
      0.526115638773727,
      0.687080188021795,
      0.762346485730808,
      0.858263651707256,
      0.747079500907046,
      0.825622879395048,
      0.863836506419766,
      0.576344460939417,
      0.489591837281155,
      0.669285051562003,
      0.75856160661191,
      0.834528204666066,
      0.764263726998741,
      0.744180709465362,
      0.712114214187707,
      0.778375799331535,
      0.828537933212775,
      0.592457187751661,
      0.465261929154083,
      0.751175905470926,
      0.7597531420217,
      0.377016084798512,
      0.811457480927909,
      0.818483686321945,
      0.441520500101742,
      0.724110659653812,
      0.825284145227924,
      0.822296326578831,
      0.757809816177757,
      0.679962967891887,
      0.635517515647322,
      0.623593598812044,
      0.788756786280043,
      0.715644115129474,
      0.718644756854498,
      0.467185160004946,
      0.706936383861943,
      0.779118988961731,
      0.681118954519794,
      0.658625830049816,
      0.782559033104894,
      0.830905816120079,
      0.827207629942004,
      0.783183721328906,
      0.862819233283695,
      0.501734435578799,
      0.677442615379196,
      0.558724815837917,
      0.519008793445475,
      0.747094054288806,
      0.751363384600029,
      0.378961615504772,
      0.828359532118858,
      0.810449862187056,
      0.765147816919188,
      0.770222550156456,
      0.734147071415498,
      0.777790198983012,
      0.691719539734069,
      0.741064025484749,
      0.821663838799961,
      0.715329118651094,
      0.894569421923619,
      0.741427399910033,
      0.747932003386994,
      0.82407136117905,
      0.486249469101291,
      0.688845534832872,
      0.520962186936994,
      0.771803483733913,
      0.775770750370618,
      0.785152710227797,
      0.850465797986527,
      0.664433900497723,
      0.533310565270398,
      0.757643362296142,
      0.606568648299569,
      0.690163120420791,
      0.471453067896281,
      0.713227934601074,
      0.801897442395643,
      0.641111993017391,
      0.85916526244825,
      0.756004432630685,
      0.750643698963815,
      0.78215570879558,
      0.715711273836503,
      0.784144510262068,
      0.776858039645281,
      0.761808229359217,
      0.784881282948273,
      0.604531461556075,
      0.735864096616319,
      0.785356940911689,
      0.789925376490239,
      0.419301063237489,
      0.771144500434761,
      0.757706500397204,
      0.799161968763582,
      0.770338737940804,
      0.816208490825772,
      0.461904886168881,
      0.84142154212339,
      0.527275169754486,
      0.498051527175876,
      0.692737290407275,
      0.597987399124256,
      0.675764486678858,
      0.775735238483479,
      0.786248670908139,
      0.874787785740309,
      0.744396771100207,
      0.813032129290526,
      0.802608292505009,
      0.596224812515919,
      0.821965477451614,
      0.745117074406363,
      0.685625431049168,
      0.788552900545753,
      0.562592489617186,
      0.643729866304926,
      0.58389790043792,
      0.81724409838877,
      0.796324495828283,
      0.544262148305502,
      0.596260375663186,
      0.598470262573486,
      0.737897265273075,
      0.827334316825806,
      0.793639621320113,
      0.729031909799977,
      0.372890880383482,
      0.499567090204466,
      0.841709760208331,
      0.534522672019486,
      0.662345569939926,
      0.635473572575542,
      0.753122036140005,
      0.675741064770064,
      0.780856280736138,
      0.597187185076337,
      0.646137471676341,
      0.789628915526424,
      0.720945917514675,
      0.832415130297775,
      0.713731347822337,
      0.532827514791037,
      0.654993502727615,
      0.602904418704864,
      0.800887927167793,
      0.80791924967194,
      0.567493089139683,
      0.600495830744699,
      0.592517323647397,
      0.691532767294818,
      0.788657658923874,
      0.751385394661601,
      0.822824017641959,
      0.454423716904318,
      0.737695822334536,
      0.494135883411392,
      0.549901552154561,
      0.790392480499621,
      0.468365255925342,
      0.537667034461395,
      0.850780066293424,
      0.737771039264373,
      0.660534005825075,
      0.596230499312762,
      0.529416874260352,
      0.846146599340206,
      0.731032035972339,
      0.704980729076893,
      0.616882504309818,
      0.576283637758953,
      0.612475384163691,
      0.795414313986967,
      0.805892264695697,
      0.878469119816069,
      0.78384055601237,
      0.702536246253329,
      0.720795344874797,
      0.573378154376433,
      0.64609095766009,
      0.74165217230779,
      0.759787900929727,
      0.870006188260617,
      0.572370861713126,
      0.575309593669527,
      0.743550925171721,
      0.740321635432344,
      0.67696114666164,
      0.788612117521598,
      0.759832703611413,
      0.834263354170184,
      0.647668952831006,
      0.764946285012601,
      0.68345726291199,
      0.756546370347848,
      0.853198820759989,
      0.519698512717487,
      0.775500884932715,
      0.769362694253843,
      0.812152125283059,
      0.856888051292115,
      0.603109958638918,
      0.730279263549837,
      0.669725614980219,
      0.546720488961968,
      0.760270099198985,
      0.630122076852134,
      0.712204123623338,
      0.836551494577467,
      0.785851665595919,
      0.850568354326841,
      0.787552554287874,
      0.590359616492633,
      0.712081189901223,
      0.647945606874968,
      0.717933982219976,
      0.633460557828317,
      0.66548060296324,
      0.855845841786098,
      0.804388087637229,
      0.761049658802741,
      0.736572216186409,
      0.717149136960005,
      0.848878996931651,
      0.773531319450665,
      0.744125069191702,
      0.742309629156653,
      0.752063096912503,
      0.754917524506619,
      0.821821663792684,
      0.783239607552667,
      0.776035023054807,
      0.707250221517228,
      0.744135073838505,
      0.827904074295342,
      0.788599106797394,
      0.733892486412143,
      0.481087110654144,
      0.465880610914575,
      0.721517267384591,
      0.819086663168439,
      0.753433136555541,
      0.758968461657299,
      0.720400280340965,
      0.752572076277797,
      0.817592958641949,
      0.771596071941894,
      0.734588544460447,
      0.635813605911712,
      0.71380833602404,
      0.589587572597774,
      0.587830629866338,
      0.808849145343258,
      0.766886899321361,
      0.754744531858265,
      0.766215449217191,
      0.7747429309194,
      0.826175859245072,
      0.480067431306891,
      0.610815603652949,
      0.511954486140916,
      0.60531276365979,
      0.47145228666296,
      0.673486783994923,
      0.721337709857994,
      0.898728973060659,
      0.799169466797803,
      0.741547764339878,
      0.744713269688607,
      0.78290208241835,
      0.706552621928314,
      0.754823234019045,
      0.73391936997946,
      0.720352389137675,
      0.778526175302437,
      0.696000121313168,
      0.664747294041708,
      0.745708216241017,
      0.62212617998447,
      0.757187406144165,
      0.775313062340614,
      0.676233270657615,
      0.765007220488309,
      0.756882432658298,
      0.788365547836005,
      0.731507818652103,
      0.8201721285819,
      0.437737566311478,
      0.766107202080509,
      0.616450054607222,
      0.578273579224738,
      0.688010709324424,
      0.769837606047079,
      0.775605865258787,
      0.816562887069364,
      0.732579309217037,
      0.797938336856745,
      0.701945616021867,
      0.716407544461669,
      0.693330653627024,
      0.783649256907147,
      0.624860158796877,
      0.792802727994186,
      0.707376740961653,
      0.823132949416303,
      0.509923850444458,
      0.826959930716778,
      0.820664910859443,
      0.529392197775751,
      0.721497985880442,
      0.813144843692845,
      0.754240197374835,
      0.789917861094319,
      0.739220577869608,
      0.731143424904983,
      0.405860388425208,
      0.425569925633153,
      0.696951636252593,
      0.579978326804296,
      0.69792489419761,
      0.723916649824359,
      0.770975845011618,
      0.703013332664599,
      0.678448015989404,
      0.711148951055946,
      0.668064023917705,
      0.760801869525192,
      0.704654425843353,
      0.74319694718049,
      0.674342587730877,
      0.773910327707937,
      0.728561821399708,
      0.682039705320201,
      0.685490809581449,
      0.706370282828952,
      0.734152759724442,
      0.667001828541703,
      0.523704748427977,
      0.526311629716212,
      0,
      0.336015601052884,
      0.666209979413673,
      0.380835300173888,
      0.306265538751502,
      0.917666562410664,
      0.732957071401463,
      0.385807602355794,
      0.338481876125958,
      0.504109228204201,
      0.318211035406086,
      0.202545699007622,
      0.722341389993456,
      0.650518334002932,
      0.407405558036727,
      0.731502877025574,
      0.396535913975036,
      0.269798692344986,
      0.438073726458843,
      0.56232319687646,
      0.507159675809746,
      0.35339687478947,
      0.71850032270769,
      0.42478460314345,
      0.293307376757633,
      0.424864783075335,
      0.509175736659901,
      0.720484111663777,
      0.421254590370304,
      0.566546419752106,
      0.377659527019293,
      0.307176538301448,
      0.763293938895818,
      0.406213882312278,
      0.269710530165914,
      0.239767018665191,
      0.515528976046843,
      0.383911616530109,
      0.227701445829629,
      0.65810408366327,
      0.571538987189823,
      0.377155979487536,
      0.867899159212115,
      0.449998660198025,
      0.243364331499057,
      0.240702440947812,
      0.534503362087867,
      0.4702501595989,
      0.331674729679055,
      0.654425999547175,
      0.543542194952321,
      0.550776746868147,
      0.904771717563423,
      0.72805441017388,
      0.60411598558607,
      0.651961467284249,
      0.774997853631264,
      0.844370481212549,
      0.799987795206688,
      0.834072419707785,
      0.77360304832474,
      0.912053875370124,
      0.766545363097476,
      0.766955519928279,
      0.6736470891799,
      0.839561797287735,
      0.803539645968356,
      0.61542607760133,
      0.629886716025519,
      0.748917115912893,
      0.925408023035272,
      0.737634044650945,
      0.858178422774811,
      0.84208539406352,
      0.403041741708034,
      0.895937253301115,
      0.83620672523981,
      0.494778119877953,
      0.806587681359139,
      0.640719234506319,
      0.747174675197416,
      0.613093035717174,
      0.87430759566909,
      0.878390504190421,
      0.55563764234373,
      0.923601208174513,
      0.717318826589522,
      0.841947779419191,
      0.75442692565742,
      0.842037150600378,
      0.786425968295762,
      0.906977396447351,
      0.874538647131806,
      0.914994756359613,
      0.466016216095075,
      0.934243082520603,
      0.886267094544723,
      0.532118963113011,
      0.87186761921896,
      0.632360003554205,
      0.798617033204985,
      0.620363782653154,
      0.757620823076421,
      0.83052246461378,
      0.716132053392071,
      0.938429806606665,
      0.734951003131027,
      0.826831695334084,
      0.707759383660753,
      0.802164651030102,
      0.811995474950506,
      0.792669804046042,
      0.900211968709805,
      0.951803802912104,
      0.885847569498565,
      0.681856596742427,
      0.840510326064176,
      0.866048736349852,
      0.884606756628831,
      0.811871455880426,
      0.796597500684978,
      0.852557145392056,
      0.868673237656237,
      0.878836734351409,
      0.767145202761889,
      0.866925066248076,
      0.926548765685618,
      0.863458532687297,
      0.808355725255993,
      0.731432696126236,
      0.792272230933116,
      0.949533608404903,
      0.893006363567924,
      0.890186371351306,
      0.921146132131618,
      0.882078479986406,
      0.739976419433832,
      0.879051040391811,
      0.659833315108092,
      0.68491456458735,
      0.716425145459447,
      0.757806091094935,
      0.906911081526976,
      0.600858105519333,
      0.827169494089659,
      0.648646200997117,
      0.799163646338218,
      0.6204217238075,
      0.816078683649958,
      0.82766199076709,
      0.652349296395823,
      0.693107454185691,
      0.873109830281663,
      0.697834907997965,
      0.73399019955123,
      0.671992373135204,
      0.638450989075344,
      0.704830639226968,
      0.902633987019076,
      0.907688991919337,
      0.958209484590796,
      0.918178884607741,
      0.882318708262433,
      0.923385612804,
      0.87470498860378,
      0.834628559034231,
      0.728749192536286,
      0.790565364505189,
      0.866822500815771,
      0.814667682644625,
      0.790401531035575,
      0.774940652510405,
      0.820909277457186,
      0.895317333620543,
      0.709244876967591,
      0.582627181298368,
      0.903739869431249,
      0.923811123759829,
      0.508160806167749,
      0.832863567545977,
      0.836402456168364,
      0.497257568614337,
      0.883607785778671,
      0.926123702647582,
      0.890962057000245,
      0.930337096062444,
      0.764660339140332,
      0.875698824288387,
      0.735118091972703,
      0.773734640345139,
      0.910308156835006,
      0.837833960168936,
      0.622376940784821,
      0.762406409721682,
      0.889403312699097,
      0.795620912270849,
      0.883743632191593,
      0.748167760269046,
      0.941889925804353,
      0.908559996439556,
      0.91322343204902,
      0.941484205905234,
      0.775190434020897,
      0.862784785047173,
      0.704935737325116,
      0.70084931487278,
      0.767613194310079,
      0.80873144074967,
      0.498729435279982,
      0.832280584653575,
      0.85060734781985,
      0.822238394774172,
      0.818770147464031,
      0.787923258722462,
      0.810070275372481,
      0.754536925586312,
      0.826930659407739,
      0.788264701716265,
      0.827124226613258,
      0.937985507538483,
      0.908909363361042,
      0.913804306408445,
      0.838958495481209,
      0.738302174189182,
      0.814168490912054,
      0.774609625686523,
      0.804332518920799,
      0.809791975452583,
      0.7939605325125,
      0.932960280220543,
      0.765906320720799,
      0.59766932147795,
      0.951544545015078,
      0.816719174348936,
      0.810848529545334,
      0.627609558508483,
      0.790260601383791,
      0.842445228678072,
      0.80133030319928,
      0.899183750432022,
      0.918586521252744,
      0.923824654000395,
      0.909598141802831,
      0.836838646277542,
      0.872673384914465,
      0.743984175218428,
      0.83234349844172,
      0.761713482388227,
      0.688686659620213,
      0.890259894761096,
      0.745468492483356,
      0.921831882910224,
      0.658797607839914,
      0.811357129000539,
      0.801387533278737,
      0.853894659113615,
      0.85648030055919,
      0.815349564889416,
      0.708419343925487,
      0.877917784419065,
      0.73212065633017,
      0.685982640585476,
      0.855898120860511,
      0.647675281321218,
      0.713400980687821,
      0.908502227717288,
      0.919609575102383,
      0.922933722103023,
      0.912886353554579,
      0.918334394483798,
      0.804507409607048,
      0.904407206694137,
      0.878567602042872,
      0.769682710762444,
      0.775002342018936,
      0.905876428348235,
      0.780075682352871,
      0.813006518260141,
      0.807292337930878,
      0.90684783394087,
      0.890703396802669,
      0.743626867023341,
      0.735246144541397,
      0.52630714601955,
      0.709422630792015,
      0.804412796061659,
      0.758390329815038,
      0.875224321585921,
      0.41638053061236,
      0.745348198350517,
      0.910403857685989,
      0.762552717568531,
      0.858370292372899,
      0.828929884463118,
      0.700936095324767,
      0.859455604665099,
      0.786888575479883,
      0.87049024519376,
      0.784302141156845,
      0.81285639937089,
      0.779978362731799,
      0.904320684239664,
      0.82470211090925,
      0.893533516422124,
      0.711000509015448,
      0.658468259483198,
      0.903360927323084,
      0.874450279846571,
      0.754905365149091,
      0.79481724225633,
      0.500359905696985,
      0.631959669979541,
      0.73397765445571,
      0.736579175317057,
      0.922887529846882,
      0.531011035777841,
      0.708641026370298,
      0.624923188811865,
      0.624795177551431,
      0.916462395571224,
      0.579463712900131,
      0.600500522986413,
      0.861521290421966,
      0.71117041033685,
      0.628951274074286,
      0.550642785181965,
      0.691382555432633,
      0.852052129086492,
      0.680735536737297,
      0.669648438986058,
      0.552603570332923,
      0.600311192594524,
      0.807605955259196,
      0.816276172365361,
      0.801322953306516,
      0.910093326734936,
      0.858396335367004,
      0.810403431382825,
      0.781133354411397,
      0.867045048091521,
      0.874677079876194,
      0.95393867708831,
      0.753704100963833,
      0.924026214717841,
      0.902410198986221,
      0.699558231934065,
      0.861301266726998,
      0.905444243961406,
      0.736303426799868,
      0.898713458012743,
      0.852940314302299,
      0.83170376485553,
      0.76575528431469,
      0.86900887232483,
      0.743007709121266,
      0.857499956345638,
      0.873689020379035,
      0.800650066583924,
      0.893254682621666,
      0.745571710112606,
      0.829216110552859,
      0.896607989853209,
      0.800596962459287,
      0.861943439415403,
      0.766557823551479,
      0.547402715049635,
      0.893456861160359,
      0.841278854651298,
      0.683267397306841,
      0.854312485108913,
      0.749000944933236,
      0.878833001811656,
      0.821585411365236,
      0.790507752815206,
      0.894797343453325,
      0.817556303244259,
      0.87554906934102,
      0.740518789842367,
      0.76084947016867,
      0.907943285736556,
      0.802340875402063,
      0.800637506957691,
      0.791229886003484,
      0.767181426882715,
      0.943063391663346,
      0.903809246013151,
      0.879955490793244,
      0.894912469105811,
      0.917319326844459,
      0.911034966065071,
      0.921130879860755,
      0.850593443644925,
      0.870319954367244,
      0.780349367732815,
      0.807708318650035,
      0.86023025944466,
      0.809269607669513,
      0.800158367520191,
      0.515318550700868,
      0.328199891724397,
      0.832966269103255,
      0.854295090558642,
      0.874526728831079,
      0.920528986121448,
      0.815777565543208,
      0.891928505929715,
      0.871403700516924,
      0.808829478557956,
      0.764976138760831,
      0.671814839874297,
      0.852422261139529,
      0.646852717653444,
      0.704181579239822,
      0.856512492077568,
      0.809523362562077,
      0.777699297184186,
      0.813379049146747,
      0.835222145265076,
      0.935372953353898,
      0.747642595931802,
      0.881698865000614,
      0.775774863605241,
      0.609200246297855,
      0.579563232188098,
      0.669900406290958,
      0.747915274163809,
      0.932416861243391,
      0.890715565448984,
      0.883301369283381,
      0.905837447286695,
      0.870070854284391,
      0.796746019634526,
      0.934102922722083,
      0.886933735757399,
      0.755614554448444,
      0.800235705847573,
      0.876976386122118,
      0.934551384155368,
      0.918050326868409,
      0.714308989164799,
      0.734737635635627,
      0.831381874010458,
      0.714613942343088,
      0.832344941498456,
      0.861534176596756,
      0.765890980406502,
      0.719145460668481,
      0.920258974349216,
      0.535035644741557,
      0.911866052167609,
      0.696367594646592,
      0.575561037349659,
      0.822518845905969,
      0.863837793003973,
      0.920792575798219,
      0.860812849238905,
      0.898964275034026,
      0.908774942366823,
      0.810817966391752,
      0.823227885128955,
      0.870730147412817,
      0.74705733378158,
      0.717966281402952,
      0.741876477270198,
      0.671902494877675,
      0.823014921758768,
      0.671375040150633,
      0.896294795977622,
      0.829653736905542,
      0.658461570921117,
      0.775031870942255,
      0.851495178789238,
      0.745503217581289,
      0.876215514524171,
      0.899054284550536,
      0.860260197753158,
      0.638226639921871,
      0.645798640410375,
      0.881276413197531,
      0.874314704301042,
      0.82293035842828,
      0.889914289513603,
      0.710109546668872,
      0.838230675126968,
      0.717051080406271,
      0.82719993434011,
      0.801460980108606,
      0.797771100422646,
      0.719021701434322,
      0.817520503592174,
      0.851849508454447,
      0.902848119152314,
      0.73858513060862,
      0.746614150561222,
      0.729604632423199,
      0.711245884596856,
      0.815254272167009,
      0.745140528283785,
      0.627109616780799,
      0.617238420986825,
      0,
      0.239057527410972,
      0.631178926150636,
      0.307157436793944,
      0.3104394372954,
      0.871879816443842,
      0.626460624140375,
      0.286691325263452,
      0.405492997986938,
      0.454346955668072,
      0.391702386942487,
      0.244866782046235,
      0.617416343475087,
      0.63757632132561,
      0.335708061053147,
      0.797634562130194,
      0.398720773385788,
      0.320345526846943,
      0.562863901859971,
      0.501007086144508,
      0.415138429160874,
      0.254530826103213,
      0.650423605099776,
      0.340631287611879,
      0.267542271788759,
      0.462327782993885,
      0.497500751758783,
      0.678160456605672,
      0.320363812996341,
      0.559241398721346,
      0.29541435457744,
      0.354351275048669,
      0.767798471518039,
      0.321498758707506,
      0.216423897018069,
      0.260127979089787,
      0.43739890984475,
      0.406835263045474,
      0.184154285636227,
      0.679561499382031,
      0.471955546746683,
      0.279069150076826,
      0.783629411061312,
      0.333863794457155,
      0.287327368985905,
      0.239601021177055,
      0.555878994225244,
      0.436609806975979,
      0.176350977227755,
      0.684124544487366,
      0.496332710691833,
      0.612938589066557,
      0.881372984420285,
      0.732039073060724,
      0.606763195902994,
      0.823235431141363,
      0.894115982842515,
      0.917300466981467,
      0.938859646910505,
      0.957134761343484,
      0.94759817004159,
      0.913660254022195,
      0.927891774281597,
      0.882422922004719,
      0.693546738800389,
      0.887365762990522,
      0.761065780241891,
      0.625161041053476,
      0.672829156884522,
      0.654661872385345,
      0.846853230948364,
      0.660530991247444,
      0.848161892629641,
      0.860457311135668,
      0.568165534753303,
      0.915442751535908,
      0.933899871861802,
      0.545274558245135,
      0.818224427264789,
      0.675807530635626,
      0.779984104693306,
      0.605580818283251,
      0.84449166097761,
      0.857968218400608,
      0.570439709173958,
      0.902081401608878,
      0.693137168885951,
      0.761374106185529,
      0.67888042613986,
      0.880370167945266,
      0.791121707097734,
      0.897515867282193,
      0.794761810821601,
      0.834597053452972,
      0.434384272214169,
      0.954001107805923,
      0.823474555653835,
      0.549158688602852,
      0.986676288137033,
      0.627627408437167,
      0.739350564884094,
      0.561928298148412,
      0.76055987668817,
      0.794231748502033,
      0.640309956435775,
      0.93221785607459,
      0.77451592640286,
      0.843407226768937,
      0.7854141327122,
      0.718833523340673,
      0.826499919833899,
      0.704446243432445,
      0.823930341299201,
      0.907603652987979,
      0.80791142534623,
      0.676963551543263,
      0.943031122503583,
      0.893764953517043,
      0.856244399066334,
      0.941676141449302,
      0.842885239270294,
      0.948369154309842,
      0.819805079636417,
      0.903701570090645,
      0.866730191410348,
      0.875692985844315,
      0.891067522055356,
      0.890041658829796,
      0.852634001831801,
      0.790329712388591,
      0.751381336048066,
      0.881373384442149,
      0.817154566445566,
      0.821526153384326,
      0.841841917441289,
      0.807127503014344,
      0.720796227839953,
      0.801162182102156,
      0.712796880477611,
      0.782370595798062,
      0.737754719742538,
      0.833185320951913,
      0.907145906424678,
      0.68917434345283,
      0.867523422978976,
      0.699184091367555,
      0.923764268177654,
      0.630934321400157,
      0.768337110717715,
      0.724023498012751,
      0.670144308034551,
      0.673588965911455,
      0.855039991411164,
      0.745443164606015,
      0.826703050332291,
      0.746123717866152,
      0.915815031922661,
      0.734705467623693,
      0.881765103239847,
      0.834463853921481,
      0.89157918300962,
      0.839504090916207,
      0.887279715514577,
      0.836891430937319,
      0.854529405693149,
      0.866141803549856,
      0.742879161924931,
      0.741027594860232,
      0.874568363986937,
      0.961284639344962,
      0.857088659409454,
      0.690682937129938,
      0.738904434903825,
      0.913976708351495,
      0.662673282734658,
      0.53424578253499,
      0.942696048742595,
      0.846734235573209,
      0.50838568794023,
      0.912419407941654,
      0.877644213222097,
      0.470420690601824,
      0.801914537948761,
      0.938985215627143,
      0.836637553429959,
      0.852480777264534,
      0.79518514888101,
      0.849432881604678,
      0.736535265299674,
      0.712393065517804,
      0.876910753095467,
      0.823928781802332,
      0.629394778571226,
      0.744375431036439,
      0.818809678704819,
      0.707406879821206,
      0.923681742517738,
      0.668970881053288,
      0.946617323958415,
      0.836350099330206,
      0.832360790925733,
      0.922767299411876,
      0.953456284163994,
      0.912073970804726,
      0.815027869499178,
      0.679216136935712,
      0.805803471066045,
      0.795704709297816,
      0.504430104133432,
      0.829148008078583,
      0.880448403133347,
      0.828019175296866,
      0.942829985810712,
      0.666800776153106,
      0.925478675838596,
      0.756805223958781,
      0.71844642741768,
      0.755280359000057,
      0.71659249509469,
      0.836102988780086,
      0.83003876437747,
      0.835586505162421,
      0.892758728509746,
      0.77475154670234,
      0.915190534251081,
      0.938809496577629,
      0.923311295204578,
      0.866025139302801,
      0.761022483915916,
      0.944990050737075,
      0.719341780275672,
      0.625585476725253,
      0.940794341166948,
      0.845988233747988,
      0.952294192215255,
      0.847531624622718,
      0.85562152434944,
      0.796954744164254,
      0.929892823432868,
      0.835376761494757,
      0.836946111859115,
      0.846664397815501,
      0.920339640576665,
      0.745311403247025,
      0.886553871155991,
      0.748836297096714,
      0.78398858414826,
      0.803792556269008,
      0.707642522381434,
      0.850206436772803,
      0.672071357695068,
      0.909758419301457,
      0.706146369884297,
      0.926070646455662,
      0.782406562021233,
      0.884544509181285,
      0.786491940309396,
      0.798520876773626,
      0.847574505592884,
      0.88772869332718,
      0.76947070539122,
      0.818630970830767,
      0.979922247339081,
      0.622895251333133,
      0.717299239324455,
      0.896941077455345,
      0.839892352725974,
      0.84261849108352,
      0.832986804371116,
      0.929928497815351,
      0.807691530951665,
      0.929281794468868,
      0.846513668756284,
      0.871345326982337,
      0.817229356070126,
      0.838269934410712,
      0.788812534852407,
      0.970420571338714,
      0.786495185287586,
      0.948919994144169,
      0.835642810745315,
      0.912766361693202,
      0.828170650482785,
      0.574432191933956,
      0.695472694061315,
      0.762670482121389,
      0.890273394965776,
      0.902925919815421,
      0.62858772725043,
      0.934562039179849,
      0.883217178668226,
      0.945668847163773,
      0.860307288860531,
      0.811402281193327,
      0.580074945675478,
      0.885887197625909,
      0.758269316991872,
      0.837941362703252,
      0.795441631259483,
      0.910180729855162,
      0.689506825204011,
      0.871624051532156,
      0.726616777142983,
      0.932877133839827,
      0.666741037825248,
      0.658027149561645,
      0.885082753381895,
      0.787326646770752,
      0.917575851560681,
      0.883016206385036,
      0.557121633239913,
      0.677851484340146,
      0.775393134333344,
      0.919717201032148,
      0.920952023762869,
      0.624878843768383,
      0.775250871911834,
      0.682690525795319,
      0.898992253089812,
      0.936615034615032,
      0.838025850185195,
      0.807412620174702,
      0.862135689733422,
      0.854829776911984,
      0.822214607071459,
      0.722747499559595,
      0.772090929157321,
      0.90329180433768,
      0.723776410046703,
      0.636115107614588,
      0.517003044931431,
      0.593680109620498,
      0.855996287075678,
      0.949765655955437,
      0.869038126138316,
      0.89348894664835,
      0.814118026781,
      0.72586107121102,
      0.709600821573683,
      0.861145548611218,
      0.916748659056197,
      0.959419361521286,
      0.915772925908309,
      0.889942202714207,
      0.876268375548627,
      0.76063007807101,
      0.937355918981375,
      0.82481712636666,
      0.708253662716168,
      0.813086374580365,
      0.795169802453628,
      0.767662817307038,
      0.701146070068205,
      0.878841827227335,
      0.741060950214694,
      0.779984982614652,
      0.881866218492499,
      0.770781216809271,
      0.864745038138013,
      0.756895468888682,
      0.948736156601473,
      0.887066109845297,
      0.768708873469055,
      0.916044075666762,
      0.712300367598586,
      0.49199781990639,
      0.878050451089178,
      0.871586114940696,
      0.860564326346496,
      0.842528410867919,
      0.768005131626395,
      0.875259727738513,
      0.785442612122271,
      0.879603019357818,
      0.832708157852084,
      0.742491480550349,
      0.789743555177837,
      0.635920859820837,
      0.682549802619252,
      0.889179400845532,
      0.795078408464484,
      0.794639296517638,
      0.749461656205828,
      0.773971890961472,
      0.929996419042296,
      0.879188142541105,
      0.859298808830363,
      0.811924036606232,
      0.837323590965058,
      0.864872862154406,
      0.874586164156026,
      0.818562082292465,
      0.785928135338258,
      0.736774629236815,
      0.716033645083532,
      0.896328606663547,
      0.876235489360723,
      0.949150377853921,
      0.390058157882291,
      0.32790787166626,
      0.895266858192372,
      0.799989231192509,
      0.800521231958293,
      0.842862448554376,
      0.728455398891465,
      0.875099230321734,
      0.846452718346894,
      0.778229569098152,
      0.705267490813269,
      0.752492991266824,
      0.847232521065406,
      0.854730606161882,
      0.872286682861965,
      0.828987555814865,
      0.926060288963042,
      0.793232257268042,
      0.927154733776632,
      0.805479503896054,
      0.938211395537032,
      0.866504395705902,
      0.929082245657258,
      0.819063266054392,
      0.738554978505862,
      0.679200758444175,
      0.912680226540501,
      0.729932476546378,
      0.871066087332863,
      0.811107534072804,
      0.832765112604661,
      0.825359877607628,
      0.886093312265292,
      0.749708807467822,
      0.91210550469398,
      0.909130971664076,
      0.772554889843619,
      0.700977564359107,
      0.804698745710153,
      0.930871141180685,
      0.837480526603615,
      0.685788323283409,
      0.669824171175361,
      0.899312606833648,
      0.697554924577542,
      0.85002818374417,
      0.79514355077658,
      0.736254861663812,
      0.778128087129959,
      0.959992435496478,
      0.819795795845555,
      0.957908189151186,
      0.733563706158664,
      0.693173786507949,
      0.93161200896974,
      0.855294114802947,
      0.838622550277225,
      0.942148740381437,
      0.835995340331646,
      0.907458167916801,
      0.718735110543665,
      0.724361959309453,
      0.87426065484534,
      0.818061446402845,
      0.803678719962084,
      0.715905767708842,
      0.813003333611603,
      0.730992842511538,
      0.796315786435661,
      0.955860465754018,
      0.889848823857168,
      0.59701205469722,
      0.868247028523592,
      0.73862036508879,
      0.709133557139756,
      0.873184185844623,
      0.924642338226653,
      0.896367945949472,
      0.90765554818223,
      0.70346393440853,
      0.948020470105555,
      0.918904245958015,
      0.819909184918969,
      0.812687119128208,
      0.637810674158294,
      0.754254017561444,
      0.614443295723981,
      0.767624828437356,
      0.720787942431199,
      0.879099338348871,
      0.712660324493212,
      0.822227648729919,
      0.789183012221642,
      0.899983511664358,
      0.750471271239656,
      0.789769674767976,
      0.883253922658154,
      0.796521960484224,
      0.85713390359836,
      0.710714320158542,
      0.543201850600483,
      0.675887091043423,
      0,
      0.229116003204558,
      0.643115247671881,
      0.303947133383996,
      0.312074766354399,
      0.798302769981844,
      0.605720860061003,
      0.268265346945697,
      0.477446147156397,
      0.466420266646376,
      0.475083873740787,
      0.245714174419163,
      0.605939478034623,
      0.538428724446175,
      0.292173068609692,
      0.795868705458471,
      0.36863252974759,
      0.316150612402707,
      0.618003389399079,
      0.459792409025939,
      0.385331502663872,
      0.263868585403652,
      0.665690306403215,
      0.308301029877932,
      0.234252692192676,
      0.483297046735435,
      0.541252692803269,
      0.686027055632431,
      0.328931271513012,
      0.543657413327419,
      0.26205842992051,
      0.382741284189492,
      0.727617301818917,
      0.275312809277936,
      0.303388415295276,
      0.345295590706626,
      0.397320732165208,
      0.451381825971697,
      0.266518298182088,
      0.608648348128847,
      0.417390834057481,
      0.283650106979155,
      0.741072414615599,
      0.279150091095265,
      0.31282487065808,
      0.279342122195509,
      0.559537748674283,
      0.53359113403681,
      0.266764508034497,
      0.616982362859326,
      0.503563327031714,
      0.621931148282313,
      0.82617860288084,
      0.701102447595335,
      0.697025815988273,
      0.770537645132087,
      0.821966179522963,
      0.823484865511958,
      0.874949101157647,
      0.889629788195429,
      0.889811361039373,
      0.833769056407735,
      0.872108064089081,
      0.82259546527097,
      0.626798969834459,
      0.854637354966106,
      0.845332183492571,
      0.621388066825645,
      0.739805146750413,
      0.687575902274519,
      0.753322095620349,
      0.626258510421683,
      0.860245153955559,
      0.868367587178367,
      0.583345929007133,
      0.891437170004068,
      0.944837655709773,
      0.554637809248016,
      0.842430915896976,
      0.539011086942124,
      0.724796720564128,
      0.663726934975974,
      0.674914164603003,
      0.589695301132871,
      0.588403716618767,
      0.908023733255014,
      0.719454953028858,
      0.821085623013368,
      0.7423103341865,
      0.608353272242041,
      0.73753787632994,
      0.690334255403422,
      0.796945848503486,
      0.779785577619813,
      0.395577395053178,
      0.915302086948222,
      0.914253799792748,
      0.629738885211234,
      0.917466248043432,
      0.641655320274772,
      0.752093388718012,
      0.56241432167915,
      0.73695506279533,
      0.82103988282142,
      0.593116976310498,
      0.8527899608474,
      0.807620732036553,
      0.87378620482427,
      0.821139259256103,
      0.80107975168748,
      0.870129481221036,
      0.778612656296511,
      0.82208833961197,
      0.796986224046557,
      0.751727504586389,
      0.68928049270199,
      0.865915405251077,
      0.745687303055544,
      0.790158126403675,
      0.887029622944324,
      0.778930970300019,
      0.946155821797343,
      0.899497134015771,
      0.822580901208854,
      0.776750290030966,
      0.715166167798397,
      0.78349518812674,
      0.608862359485191,
      0.687808458733986,
      0.688898056623793,
      0.603938477203508,
      0.776650179129725,
      0.868856651058107,
      0.775424184572363,
      0.762937543129833,
      0.585108408846776,
      0.809523230763951,
      0.873633002138344,
      0.823863978408612,
      0.823025467169216,
      0.782489101775056,
      0.862679568872308,
      0.750118873540299,
      0.708496546671197,
      0.631657727804514,
      0.553428805196803,
      0.869444529391003,
      0.71821478853182,
      0.778798213785502,
      0.70018952447948,
      0.771868508472632,
      0.612287849613356,
      0.801135997669488,
      0.504252498925918,
      0.765859544117329,
      0.790334261895922,
      0.92369097620204,
      0.728314364160344,
      0.78915479752396,
      0.781623737217393,
      0.808189984150649,
      0.777864723021496,
      0.872988242865314,
      0.861857556627322,
      0.63205091094551,
      0.635857476573523,
      0.774977310808282,
      0.829392472345971,
      0.800834828408636,
      0.91439307639898,
      0.826096657765101,
      0.728148633523071,
      0.754321103331926,
      0.874626982541796,
      0.679925727998462,
      0.550685441141991,
      0.866054157697457,
      0.739660283654401,
      0.566116005839415,
      0.890521335886441,
      0.894036976135257,
      0.494616661905062,
      0.742099724208169,
      0.893851890539785,
      0.900367912821177,
      0.833556325118839,
      0.597733791369172,
      0.674554927939191,
      0.703776273269909,
      0.705098480004363,
      0.623765437499583,
      0.877569276331055,
      0.611865622590037,
      0.76672982624342,
      0.894504474126602,
      0.76392837555512,
      0.676403356469758,
      0.665071600152786,
      0.86148671452742,
      0.919642579252041,
      0.795004568301428,
      0.822317361018053,
      0.895926546435745,
      0.861551831453973,
      0.76088239452335,
      0.646080872351131,
      0.833813060944503,
      0.816241281738138,
      0.436524395811534,
      0.839379773746313,
      0.903838946034632,
      0.846655388430638,
      0.889284704067801,
      0.691198186760745,
      0.940930083550835,
      0.783878609599607,
      0.691343522069158,
      0.735609919595229,
      0.728187826459305,
      0.861090752978803,
      0.678980516642392,
      0.827911459580128,
      0.828852238636569,
      0.58796760735106,
      0.941213848809394,
      0.876496303933643,
      0.871687802472668,
      0.812696324667943,
      0.648520822094158,
      0.87548782937919,
      0.807494915392754,
      0.621565420048132,
      0.783646108453911,
      0.534294876987664,
      0.894809855688385,
      0.958384353283326,
      0.804785178315347,
      0.748695692632258,
      0.936697898099369,
      0.772709524088607,
      0.667014583745374,
      0.838894880889113,
      0.841116590378728,
      0.747931749737032,
      0.912167654856722,
      0.697819325531687,
      0.815185434610506,
      0.829802633914615,
      0.781740595622811,
      0.792358780215629,
      0.657192381288163,
      0.858731573872657,
      0.480747817978454,
      0.871378172309553,
      0.787573588241224,
      0.89787403826956,
      0.815935710028923,
      0.812457225446867,
      0.765744860470852,
      0.801654225812998,
      0.588316036803251,
      0.775968770677182,
      0.914117831032456,
      0.580721079285139,
      0.745119981083827,
      0.827995818397233,
      0.834696534166712,
      0.789445216323257,
      0.744963484815063,
      0.859981597728235,
      0.817290631154246,
      0.778186291124761,
      0.926871809249803,
      0.816594702708829,
      0.806160453614888,
      0.918839798722538,
      0.737146004626785,
      0.912192847747031,
      0.768508740203176,
      0.906699271131902,
      0.779653837174409,
      0.861907787766249,
      0.825590636105092,
      0.779723015923571,
      0.623354666827469,
      0.742334776409592,
      0.898979063494581,
      0.841926213629458,
      0.646360416721673,
      0.892467389184179,
      0.836242824140031,
      0.894324303875052,
      0.790354415219516,
      0.64794957466859,
      0.617651859104507,
      0.840543393646201,
      0.632845167246879,
      0.723292272299797,
      0.844076131923123,
      0.858855217881181,
      0.715878946155212,
      0.941508105863675,
      0.792564142945243,
      0.666642033979175,
      0.726209673756964,
      0.754855525299062,
      0.92117936229658,
      0.693251932924926,
      0.856637536013227,
      0.904526019255727,
      0.756307251735425,
      0.744339114130001,
      0.824489990988665,
      0.91929088308007,
      0.855428330291668,
      0.703696028926605,
      0.787322509983317,
      0.824262902147908,
      0.914234073068074,
      0.867944673563075,
      0.854498330378356,
      0.812038651648457,
      0.838627652243401,
      0.951376811509756,
      0.920617945398325,
      0.822145214495167,
      0.822453240126277,
      0.916732827772262,
      0.881342724019184,
      0.723972723650815,
      0.636770202153886,
      0.620647166699256,
      0.875425737681919,
      0.897146176535229,
      0.816970581866337,
      0.856415172636882,
      0.856540190588914,
      0.780627456247737,
      0.740946422623694,
      0.69001958417146,
      0.685339508806235,
      0.788067000370651,
      0.873104798330919,
      0.830830918283347,
      0.685370052451366,
      0.741568779715671,
      0.863162468183808,
      0.727508248767151,
      0.722473747592041,
      0.724673218094699,
      0.820693038776591,
      0.708294845450206,
      0.799059340811444,
      0.885655281753165,
      0.749324085428366,
      0.835523207647877,
      0.818940846163028,
      0.583654802188555,
      0.683441310383849,
      0.719979891327323,
      0.897245785996552,
      0.848193171736179,
      0.653514831525569,
      0.878900396254773,
      0.78515899464739,
      0.535386507952902,
      0.803803967531451,
      0.579093581717589,
      0.862332071249912,
      0.842131511607584,
      0.804485673694696,
      0.891812218018682,
      0.70564460340299,
      0.867700813877202,
      0.814685879490618,
      0.823847512520406,
      0.68976254821317,
      0.667285518188107,
      0.739665862552425,
      0.799643367213498,
      0.817436502481637,
      0.809158606539591,
      0.771398126359085,
      0.794358238260987,
      0.846255289356814,
      0.770710720197861,
      0.699787939865327,
      0.745294444238311,
      0.764629386082571,
      0.845786958281262,
      0.889880209356159,
      0.910439656791079,
      0.822635154479489,
      0.786185703730024,
      0.747512852406964,
      0.859684419051764,
      0.902623032021026,
      0.900678337799754,
      0.462496062432294,
      0.273445577948411,
      0.883525656564179,
      0.897392814963602,
      0.870811937050278,
      0.799899459127031,
      0.796369277067882,
      0.828140475629325,
      0.918464124907488,
      0.803424517363469,
      0.744199633204276,
      0.82069257063339,
      0.836163586596831,
      0.952463072010408,
      0.847783070031678,
      0.893915094123809,
      0.875885840522583,
      0.791305148813035,
      0.938834943422411,
      0.905596568539136,
      0.894288128968722,
      0.782784569022245,
      0.809642331819685,
      0.588818689525004,
      0.699760418633389,
      0.644283025770849,
      0.9283296157501,
      0.658641361358865,
      0.858157312433037,
      0.908218860082422,
      0.77117103876237,
      0.771956508406766,
      0.822994039827116,
      0.723966395688467,
      0.849649354089853,
      0.632239451462394,
      0.792788234373971,
      0.741899572404172,
      0.754659279301021,
      0.789533417755869,
      0.821314551055371,
      0.689658672430147,
      0.779018770390354,
      0.864094160252816,
      0.701925123700541,
      0.874089699801056,
      0.851617710978713,
      0.768387208266067,
      0.78959782303856,
      0.792870071365828,
      0.918744153582044,
      0.89754171429934,
      0.785760907106454,
      0.697906712138213,
      0.915673206115002,
      0.671301236020566,
      0.823814688839358,
      0.902045706985284,
      0.776132067416613,
      0.882934036741039,
      0.71485093100806,
      0.760261704479095,
      0.743271638720669,
      0.843121212438827,
      0.832097113371285,
      0.796376149636448,
      0.903977603905972,
      0.785315481989314,
      0.774696159134825,
      0.904801419029061,
      0.839141544177635,
      0.564882121683588,
      0.835332641795117,
      0.767230926254426,
      0.720280493141903,
      0.794700609009177,
      0.640867957339558,
      0.841749590021351,
      0.925530047417621,
      0.72710035620859,
      0.822604959690302,
      0.663382132245971,
      0.686469380167107,
      0.756287754919343,
      0.67754128790299,
      0.786376821442577,
      0.644113721669495,
      0.860571137287248,
      0.72234851272557,
      0.824136518256948,
      0.682466157653772,
      0.873450015820072,
      0.844431355771388,
      0.820308874533452,
      0.616058599726318,
      0.826712565910591,
      0.826298464802122,
      0.748898703910072,
      0.838924927840541,
      0.770102306216347,
      0.617312460511569,
      0.697610480900919,
      0,
      0.177717136426662,
      0.544154569802839,
      0.358645109000309,
      0.287024727858065,
      0.728225044227352,
      0.56764146168455,
      0.316288175129016,
      0.444054819791785,
      0.393336017420785,
      0.536455325763196,
      0.27918128055254,
      0.606209940637168,
      0.494700687864146,
      0.347116503038073,
      0.774867881374236,
      0.335231059891936,
      0.345632880943939,
      0.619964552306569,
      0.431008064517746,
      0.395641616596332,
      0.320237340713211,
      0.575371166233892,
      0.302176888051248,
      0.345412187725696,
      0.493815450396502,
      0.552551020497642,
      0.562833955209216,
      0.369286449024973,
      0.464373693466975,
      0.319296853986339,
      0.403189675931554,
      0.586520185563438,
      0.343048655871244,
      0.34063784375927,
      0.332799883211025,
      0.420631295004204,
      0.443918876072867,
      0.315488340122812,
      0.479185774413602,
      0.413714969486069,
      0.347076294130268,
      0.648613050103539,
      0.35606427640907,
      0.263158808977208,
      0.337006035506358,
      0.566185509063879,
      0.565744632398746,
      0.342678678314936,
      0.472198370603706,
      0.46790608365781,
      0.587421030762169,
      0.833383839194711,
      0.605249491796399,
      0.742714316884884,
      0.484382810703087,
      0.706100987028779,
      0.649975827589226,
      0.610135315360817,
      0.708897267785976,
      0.60845234342453,
      0.753460786718971,
      0.650603230527752,
      0.763653349187828,
      0.610025196225129,
      0.856529784939793,
      0.782274912988418,
      0.588728550863499,
      0.747138784874764,
      0.676282029607047,
      0.699122955092522,
      0.591823717883641,
      0.644506992533705,
      0.63907551016272,
      0.405416671283109,
      0.778820309564548,
      0.741331113220361,
      0.567412585027873,
      0.74360297484249,
      0.5178332168304,
      0.720481022703285,
      0.584614317895866,
      0.665109120060786,
      0.650403851275634,
      0.632224563843055,
      0.779777435564841,
      0.589006409892723,
      0.726665992498266,
      0.638731951456641,
      0.713628779861651,
      0.731035938919041,
      0.741407565496915,
      0.758408817181175,
      0.769765375327219,
      0.44404918856475,
      0.814613338871707,
      0.864548870255179,
      0.5757052494118,
      0.649639727653565,
      0.643783865664778,
      0.72697623777774,
      0.508840106786575,
      0.697178867851738,
      0.654189882392618,
      0.587405926531098,
      0.804776802448108,
      0.670623667857405,
      0.694995446302945,
      0.63837837340454,
      0.714942560060992,
      0.796936172193905,
      0.685527680364623,
      0.79079264934042,
      0.757202791523826,
      0.712631518454734,
      0.763589883935472,
      0.624059094854052,
      0.920533443401065,
      0.759997687279863,
      0.681161216125584,
      0.738091871242134,
      0.754871911186817,
      0.793179616099556,
      0.723163338110933,
      0.583610237385767,
      0.720339155312711,
      0.78946063264244,
      0.647099424134596,
      0.698712366738501,
      0.630385521152182,
      0.633281820622669,
      0.80502888301617,
      0.816555255499609,
      0.717785056032022,
      0.748386236090062,
      0.532504623769846,
      0.726168017170804,
      0.788435503900505,
      0.72698201242055,
      0.705191096148752,
      0.636530822667448,
      0.731917771794498,
      0.732104660148534,
      0.69141810558143,
      0.667841549228456,
      0.658066772718391,
      0.714157123040317,
      0.673953218852048,
      0.657412101904657,
      0.612903650202403,
      0.674550749207499,
      0.551563244470927,
      0.758047675656533,
      0.653523803866419,
      0.696082507252306,
      0.79354103065788,
      0.677764815771524,
      0.730253346281913,
      0.718779390992279,
      0.746121425050818,
      0.723994201985927,
      0.741534706569762,
      0.80079321287466,
      0.755359753829793,
      0.725924789237327,
      0.669269195531362,
      0.695115484645701,
      0.7367982175816,
      0.741081355433244,
      0.653408544186059,
      0.852506942258393,
      0.981482198705202,
      0.786898414548294,
      0.860109224034306,
      0.668885477416099,
      0.652123316206421,
      0.689723635018651,
      0.716839890099189,
      0.551810696480959,
      0.661628883450771,
      0.664876092080963,
      0.508040687315649,
      0.667664802692765,
      0.848934736696637,
      0.784098319425317,
      0.813687384484168,
      0.580145625033581,
      0.73507519806487,
      0.640888881086429,
      0.642189334959947,
      0.667159739026319,
      0.786274297039274,
      0.556990640405537,
      0.64270827614252,
      0.793770115406313,
      0.688543909661244,
      0.685739887779944,
      0.688889421674839,
      0.858769369521063,
      0.859417520265527,
      0.780784352980095,
      0.803934903233954,
      0.570791682455041,
      0.792655575805999,
      0.663374164801353,
      0.600102538721732,
      0.661768700404469,
      0.608108974884091,
      0.522725006011513,
      0.666756399107804,
      0.717435954735049,
      0.640539748627473,
      0.571435224470657,
      0.766908633307605,
      0.756748927912774,
      0.745273229094432,
      0.657951850922728,
      0.648073401344524,
      0.641261949752382,
      0.814718598790821,
      0.640443570031671,
      0.796177577919166,
      0.617546832817083,
      0.634934522981576,
      0.906875627942875,
      0.676405196382544,
      0.664398193352629,
      0.737243063340769,
      0.62418725937121,
      0.836275361902275,
      0.699255333657502,
      0.582615650988585,
      0.771842303638671,
      0.623744228972816,
      0.726265074645038,
      0.860597196885595,
      0.733413001653799,
      0.687260758208413,
      0.746549199092897,
      0.747170640579992,
      0.626626153411699,
      0.81734693747785,
      0.600538049023866,
      0.668042043825065,
      0.772607003107335,
      0.596932013117717,
      0.654716589387958,
      0.658407666921415,
      0.706060562829868,
      0.683646334463199,
      0.707352053321179,
      0.867913546405537,
      0.664734445694049,
      0.620243020236087,
      0.680933292821522,
      0.677176696850338,
      0.70144761816815,
      0.689373073819007,
      0.581932692843253,
      0.773751393161104,
      0.758374077100952,
      0.714973386588754,
      0.739036978690244,
      0.632679825544605,
      0.745735157556279,
      0.75491263475068,
      0.799052019528251,
      0.705475239600452,
      0.71340624731822,
      0.789466980196765,
      0.67796334269683,
      0.792200760893333,
      0.829590673315324,
      0.643896172377662,
      0.717852920030025,
      0.859638347203981,
      0.74565693901963,
      0.84621780630268,
      0.935281734564249,
      0.85387634740589,
      0.693373299838286,
      0.57508020685487,
      0.691912672992382,
      0.74340293655563,
      0.603674518811974,
      0.687220666558167,
      0.701250744246671,
      0.772607619843461,
      0.648779647976361,
      0.683103463604707,
      0.802526347464104,
      0.633399007094838,
      0.712643506417608,
      0.686333453536396,
      0.680421195416717,
      0.657644247142356,
      0.599340736185329,
      0.708850178444607,
      0.754477737492542,
      0.704891294538913,
      0.69534638209601,
      0.81959885577594,
      0.702309063655612,
      0.703000055587856,
      0.702592566098498,
      0.832914454250715,
      0.834963353411564,
      0.661874675194899,
      0.530453452971751,
      0.7756666543995,
      0.717114347292971,
      0.761777042616364,
      0.716219052906294,
      0.639515927281489,
      0.72606959520044,
      0.723830127071054,
      0.700986864321307,
      0.77816706964143,
      0.673942609712578,
      0.858949858061214,
      0.642440354216746,
      0.655962306380888,
      0.718055664659591,
      0.841214915563574,
      0.809630174648728,
      0.719778685760752,
      0.774625261034523,
      0.798486289780962,
      0.824673168460416,
      0.700401976594787,
      0.659369781638572,
      0.652607874331175,
      0.808934619366758,
      0.659189872885757,
      0.618112223360706,
      0.830597813917544,
      0.687912411489282,
      0.697258833367607,
      0.663103183401194,
      0.672969444091545,
      0.60582117231923,
      0.766085734149478,
      0.615553471036322,
      0.782467118903535,
      0.734483163985706,
      0.701748595970372,
      0.651842414750568,
      0.695466941755474,
      0.686683355192755,
      0.674526511402211,
      0.738568591738478,
      0.657275080205462,
      0.712708769815805,
      0.841358504134192,
      0.655832530147861,
      0.719825753492575,
      0.82719747506638,
      0.62587504836072,
      0.730599598860892,
      0.680653712476738,
      0.708036456398052,
      0.747205883355232,
      0.638605719025551,
      0.824692106112476,
      0.680806032018716,
      0.48095556312611,
      0.745515725496784,
      0.658961806923481,
      0.762263292944757,
      0.8253838769527,
      0.731869294656754,
      0.698895790883713,
      0.574325698746521,
      0.738392492129053,
      0.750662490352379,
      0.769824984201264,
      0.656806976670856,
      0.5685893681983,
      0.65919604791164,
      0.74279498048775,
      0.632794447743465,
      0.643144379881227,
      0.602688736936728,
      0.636881813367732,
      0.778136593999358,
      0.718663052710475,
      0.724409145575704,
      0.721075449869605,
      0.736193363980388,
      0.805791103667077,
      0.758111081084046,
      0.802430813964967,
      0.71028357871415,
      0.673971900258079,
      0.729245769130014,
      0.728137122499161,
      0.687527199518011,
      0.71059815507719,
      0.541629002021045,
      0.309029891701207,
      0.852029533427655,
      0.846308203530109,
      0.829497488083796,
      0.781433915763133,
      0.701343733031275,
      0.865001214366144,
      0.822847449186454,
      0.682051026516516,
      0.703766408316033,
      0.695634279740522,
      0.809466579464606,
      0.842914521264423,
      0.881945418009298,
      0.792865153904009,
      0.765254105772474,
      0.774978803231268,
      0.749557873223525,
      0.806482904033349,
      0.797502223187104,
      0.6044484349545,
      0.695471405765373,
      0.68170810123354,
      0.580662502649795,
      0.708932760972638,
      0.687514284989134,
      0.691937284340141,
      0.751266670001871,
      0.859574712254038,
      0.754413754060391,
      0.740527101750863,
      0.596727056939963,
      0.682749046628593,
      0.766148079410903,
      0.663626363535672,
      0.658797249594611,
      0.641750518120015,
      0.722521327798922,
      0.756072615084095,
      0.809053793664798,
      0.96168344187936,
      0.872420305072877,
      0.725413742807453,
      0.642387382797042,
      0.670597570585063,
      0.758722994433631,
      0.659040291075338,
      0.676339744721217,
      0.746757518495212,
      0.813552007062981,
      0.794287659606272,
      0.773289258361404,
      0.649978951883322,
      0.731552306893936,
      0.72025575846245,
      0.796169477376346,
      0.609672879390681,
      0.712467772856374,
      0.821641813336511,
      0.640795371830976,
      0.735726596644933,
      0.963912263340186,
      0.798003910957364,
      0.938551479176978,
      0.782666212801843,
      0.834901438188679,
      0.797461526026943,
      0.690517835517494,
      0.817677926831143,
      0.643167070449143,
      0.550029370746607,
      0.709495515345268,
      0.709663226966772,
      0.779982842311301,
      0.733420446838862,
      0.699090194242929,
      0.741048070363555,
      0.723551735104418,
      0.735408224517646,
      0.686358453385809,
      0.652198126972877,
      0.678113558715529,
      0.737923348143857,
      0.636379622997169,
      0.77231648301906,
      0.573476390929484,
      0.77125083838735,
      0.667801179829792,
      0.566958069349041,
      0.705144819876692,
      0.74132306516731,
      0.801310407425805,
      0.765945998877995,
      0.631814572158168,
      0.799910680269134,
      0.613502027584226,
      0.599991767146603,
      0.757527056813181,
      0.630870364121549,
      0.547304315290774,
      0.585580031067852,
      0,
      0.18836601086833,
      0.465347027422925,
      0.327993613392857,
      0.226497780321068,
      0.697131313017696,
      0.579414659070416,
      0.345314375317697,
      0.464376683820958,
      0.345524435537673,
      0.520567136161711,
      0.252835852850096,
      0.462851676908457,
      0.402737856252996,
      0.280465431532681,
      0.750995233660811,
      0.285641949751613,
      0.371204239827546,
      0.604815905384788,
      0.370300297092329,
      0.361219880535406,
      0.297725062099091,
      0.559071327741578,
      0.322069825413169,
      0.26321398995913,
      0.458944323091423,
      0.54963888591772,
      0.563971541654383,
      0.365897859619051,
      0.374793888012614,
      0.287698413770635,
      0.423882750450321,
      0.591791755197852,
      0.328069110216571,
      0.264484348929165,
      0.306427822079355,
      0.364476295322691,
      0.44831181868952,
      0.134938619017068,
      0.363020743335442,
      0.369065274844908,
      0.396531135742987,
      0.703635803932277,
      0.351793625679216,
      0.255474961351474,
      0.324978156908551,
      0.547775299589568,
      0.550987406764142,
      0.601579824111821,
      0.34271805278045,
      0.392390633081714,
      0.543744623734842,
      0.859974832017385,
      0.576464441593923,
      0.790566544064571,
      0.577406902546937,
      0.732123911864655,
      0.702944929346717,
      0.686265619088617,
      0.751980887635917,
      0.731314017625635,
      0.821376135818355,
      0.736586847528285,
      0.831110304786066,
      0.726496348699426,
      0.842430314009152,
      0.711137195362599,
      0.489315768572901,
      0.728029683471103,
      0.522459246938882,
      0.656480044578775,
      0.553931633728508,
      0.622165062336373,
      0.576393872545914,
      0.463459340028397,
      0.76523661142651,
      0.613618096631986,
      0.579137553367833,
      0.681992383801217,
      0.523094858195632,
      0.804616943523189,
      0.542943902227419,
      0.747517448067907,
      0.507384990531703,
      0.575336668200451,
      0.780050146697648,
      0.647277397862926,
      0.666984382513224,
      0.583728290366463,
      0.674858833300781,
      0.786784941557678,
      0.643053844193131,
      0.624022182761996,
      0.600170340794623,
      0.504919919590269,
      0.817510648640099,
      0.621667933519434,
      0.637123514876045,
      0.656323784410549,
      0.575315815954806,
      0.829292453432797,
      0.5207953340839,
      0.720303239270547,
      0.599290588206724,
      0.584549714290105,
      0.802441305895353,
      0.693031464085923,
      0.713320952811216,
      0.680171373915126,
      0.663204354217222,
      0.836238924171905,
      0.592245803410643,
      0.605879257439441,
      0.755591873361721,
      0.658530368970319,
      0.797772398504502,
      0.691203107975407,
      0.83745263119872,
      0.72110795845186,
      0.67503751658245,
      0.759790317175586,
      0.665900636998383,
      0.619712553690205,
      0.68412719925112,
      0.580832306979571,
      0.61525371283891,
      0.797361478047841,
      0.622472979852307,
      0.716707484568603,
      0.594066434515752,
      0.630765873227462,
      0.807898927715213,
      0.552268600586412,
      0.691099618448145,
      0.568836063087727,
      0.520206329922826,
      0.676338245371237,
      0.649765784038842,
      0.662796747608139,
      0.69895748153967,
      0.654268048876912,
      0.650673974859378,
      0.688244027599356,
      0.671207446901321,
      0.70907512586231,
      0.624196896287228,
      0.698630092470039,
      0.65022602597272,
      0.625229790403878,
      0.644927249779972,
      0.511770506697332,
      0.575892572609175,
      0.759612587177929,
      0.645623619515226,
      0.595283056744321,
      0.697287054042978,
      0.568468919728812,
      0.799986711269913,
      0.583001261162309,
      0.61505645484743,
      0.704156057254022,
      0.564921193441027,
      0.708451048981268,
      0.580894853913868,
      0.581268682212673,
      0.640151986815186,
      0.68808149231206,
      0.709465031321185,
      0.66398540677539,
      0.655101159265758,
      0.849418493893129,
      0.94667614265175,
      0.693955196138421,
      0.844890001723571,
      0.592874182196603,
      0.713885001420069,
      0.62075316661726,
      0.444176055440107,
      0.490744213191476,
      0.667393118515377,
      0.602417898742911,
      0.682379648529739,
      0.667257977154139,
      0.775321536864086,
      0.667701841678935,
      0.654170361370255,
      0.621133943381341,
      0.537806021715422,
      0.601302381482424,
      0.638046320228008,
      0.513035995564857,
      0.668362309781768,
      0.512366301009275,
      0.612905582760947,
      0.624827887802507,
      0.654614591596312,
      0.659297883849496,
      0.64864881004714,
      0.852802773271208,
      0.643560197396892,
      0.582025209938426,
      0.809494867718373,
      0.543551072681172,
      0.655886898689847,
      0.670430474590525,
      0.5687409107069,
      0.600689527721679,
      0.548846872996308,
      0.585982949743172,
      0.594254972517987,
      0.628966723877575,
      0.659156016809761,
      0.719961757545878,
      0.747408249684535,
      0.698895373319097,
      0.725879720074826,
      0.722667676386535,
      0.637899593994053,
      0.671336273867619,
      0.74487703189141,
      0.682955256791014,
      0.721695994859469,
      0.68037221199432,
      0.599913698447435,
      0.905390937443751,
      0.610501680217953,
      0.650085771405551,
      0.62329680817389,
      0.603920810443093,
      0.851074598014499,
      0.58442251824983,
      0.550907719642799,
      0.720276936999063,
      0.59005774256181,
      0.765743524305271,
      0.501968228022678,
      0.722632760615748,
      0.578327888852547,
      0.725670073228146,
      0.743695727726523,
      0.424123492512666,
      0.62075944742351,
      0.584503839590678,
      0.630616583011049,
      0.678718308980494,
      0.533125530601044,
      0.660482431568306,
      0.588578803635634,
      0.641412648622638,
      0.653186847492034,
      0.652825584367502,
      0.841918987793846,
      0.703583062070051,
      0.680341826689755,
      0.77485283197373,
      0.61249787210243,
      0.684294356658792,
      0.653938935261934,
      0.58591886175001,
      0.758110162786693,
      0.730503708204034,
      0.672452258807224,
      0.680084664625865,
      0.533847133877783,
      0.819345748986115,
      0.572090256153501,
      0.623155978870856,
      0.71136720032152,
      0.618612818217405,
      0.769307810089328,
      0.647021116906669,
      0.764081611119383,
      0.719406106568318,
      0.612842977216253,
      0.787736782630469,
      0.586323771223728,
      0.832274825917015,
      0.704547716105115,
      0.846580486680238,
      0.855007008312708,
      0.695351570784005,
      0.716497649455084,
      0.722953665887148,
      0.661710538982395,
      0.674379671240459,
      0.732123749501817,
      0.676355745676713,
      0.718164564224355,
      0.616661072464374,
      0.735099418941176,
      0.777851749139035,
      0.595603646903177,
      0.715797685169072,
      0.53900946603091,
      0.581613694629068,
      0.654560732982373,
      0.625750061447137,
      0.653507352478747,
      0.672430037139726,
      0.609518245023763,
      0.677528284592217,
      0.658561639093365,
      0.605606936798822,
      0.680337756639456,
      0.757758159579142,
      0.803392665379134,
      0.743183043016032,
      0.671701062742647,
      0.62661056666752,
      0.625626661207363,
      0.371491409827992,
      0.825649534028225,
      0.530984050311865,
      0.608186290200769,
      0.707539166375325,
      0.56532305509612,
      0.600996328780363,
      0.558234529890538,
      0.58391073570679,
      0.853624042367113,
      0.567286157031331,
      0.585598558113866,
      0.705647120026932,
      0.572217578893373,
      0.505559086897716,
      0.500884286329676,
      0.727280013718941,
      0.681707619595363,
      0.514934215540504,
      0.511323624208668,
      0.615647683123668,
      0.689609194750425,
      0.766172411159,
      0.686959435978739,
      0.6355292313501,
      0.792660148718976,
      0.624651111423373,
      0.658666849752386,
      0.709047729929938,
      0.553802532845332,
      0.675468640804388,
      0.678969236831768,
      0.552495191970591,
      0.754640391332429,
      0.567191529889624,
      0.719011541467353,
      0.539288023324666,
      0.54135326160185,
      0.766291009811372,
      0.568205780112677,
      0.691007550508623,
      0.706747843675552,
      0.610111713565969,
      0.793906041107044,
      0.659280566709306,
      0.500119969926783,
      0.762004421311047,
      0.491500927789733,
      0.841152675126603,
      0.685907614982333,
      0.633479066252758,
      0.718206039895133,
      0.557027746701937,
      0.696715943771741,
      0.4232712806427,
      0.380763935536875,
      0.710148847012021,
      0.64570281687061,
      0.723653779052321,
      0.770362340304186,
      0.645742583530254,
      0.683492168377057,
      0.582708768621082,
      0.734310828731437,
      0.665250821835024,
      0.620877481674728,
      0.507906850155881,
      0.467053128660543,
      0.554002507908356,
      0.691305905334091,
      0.615975395570982,
      0.575699366646022,
      0.555040063015839,
      0.592571477835366,
      0.766640892506405,
      0.634364378886182,
      0.601856089652452,
      0.555897086545065,
      0.548816696701611,
      0.75700177852251,
      0.599227043448707,
      0.593499703370284,
      0.448124645157528,
      0.625175275068972,
      0.771308327493034,
      0.757762824910979,
      0.678965937076408,
      0.705405339622766,
      0.539491939371493,
      0.333958880086656,
      0.871935419047526,
      0.693245027962616,
      0.60920667957608,
      0.566281872413462,
      0.505036039128046,
      0.875783317657835,
      0.590781674672987,
      0.649913820014887,
      0.680748373130706,
      0.683020664696843,
      0.811299701950736,
      0.528830323897697,
      0.854535051845928,
      0.653634820801457,
      0.601488646086773,
      0.793007380619261,
      0.575515017845882,
      0.636895993665567,
      0.751371742664477,
      0.534445213977905,
      0.667278183133985,
      0.668057352161083,
      0.636543865058051,
      0.749218914818586,
      0.611449420674245,
      0.572292371290953,
      0.76349119782742,
      0.648906991084948,
      0.739410848020105,
      0.626020074952411,
      0.53662656788468,
      0.663854276858277,
      0.678892230855202,
      0.6754720370138,
      0.652135867161563,
      0.59990515572823,
      0.829214604224593,
      0.654285084758428,
      0.622109088500062,
      0.957958112990966,
      0.709704728404576,
      0.77435167312891,
      0.685296500415115,
      0.557413610360542,
      0.580453144980371,
      0.679948722031516,
      0.618009195755529,
      0.749862933890499,
      0.61529945301751,
      0.773511970359608,
      0.7736555922269,
      0.650525341455387,
      0.668965407367254,
      0.660956955693846,
      0.611025034750758,
      0.701402076784405,
      0.590554133374775,
      0.794253620686693,
      0.600609972032835,
      0.755586128475394,
      0.940837327461257,
      0.683014892282454,
      0.932679951406115,
      0.656236483824923,
      0.809271388948447,
      0.639303462577314,
      0.581263201481914,
      0.799961186664289,
      0.653344016890258,
      0.528460716183152,
      0.727837003019983,
      0.650783182594018,
      0.854210238316788,
      0.642013440432411,
      0.674412150860677,
      0.673644809442344,
      0.662236256923718,
      0.706722402986408,
      0.698110715562499,
      0.661097335847211,
      0.570659671777101,
      0.583851382607053,
      0.623167848370188,
      0.818429256735019,
      0.478066291564791,
      0.503110542689469,
      0.710068116630616,
      0.577162884457384,
      0.777135180847605,
      0.583781154532246,
      0.580240015634522,
      0.731096659780298,
      0.608719498767649,
      0.798328042069094,
      0.612276747889931,
      0.518364909445315,
      0.728973895178251,
      0.52747095668261,
      0.471636133605134,
      0.613460854129126,
      0,
      0.205947007351942,
      0.339811321083383,
      0.257346457127327,
      0.287157309169247,
      0.644486547056286,
      0.504088024337668,
      0.268461603603428,
      0.347845289198686,
      0.264757074215086,
      0.526975176720064,
      0.285750849254415,
      0.66082918255054,
      0.270415151023199,
      0.277345425963983,
      0.699005975080234,
      0.236954364172906,
      0.385073449662577,
      0.478616635810731,
      0.270762477228326,
      0.302164847580894,
      0.374703979849095,
      0.520387900955059,
      0.27278547250691,
      0.30007608564473,
      0.412081757539793,
      0.512280434640836,
      0.505191045898542,
      0.295475219685489,
      0.300426632441988,
      0.264940601845418,
      0.391438279279287,
      0.538665660786713,
      0.286012481061211,
      0.273375938808693,
      0.257104982205792,
      0.256740462074495,
      0.449375717264064,
      0.125835016626061,
      0.542030138121143,
      0.285867365904251,
      0.377225253202247,
      0.608452240652459,
      0.256710717333354,
      0.331161231276383,
      0.277985227061209,
      0.714762517012385,
      0.592522717440612,
      0.720080470414302,
      0.213901512661717,
      0.31597875681062,
      0.705013466796777,
      0.887779372573464,
      0.594349459978688,
      0.839630691386239,
      0.557591014528744,
      0.757193223020825,
      0.7696994934737,
      0.668256953584293,
      0.886321319833163,
      0.712202752319488,
      0.91074523779893,
      0.738650386746789,
      0.938676978517595,
      0.729189895734825,
      0.780206225301071,
      0.619916472895299,
      0.567117746727215,
      0.652552304629221,
      0.566638608652162,
      0.706660671636593,
      0.589463853301066,
      0.60788427027734,
      0.73451467969106,
      0.610481022684985,
      0.655160956323964,
      0.617030585266926,
      0.590853503332356,
      0.564717782980169,
      0.605884365852207,
      0.899973501834244,
      0.553078213426745,
      0.750329405066112,
      0.632878638544784,
      0.702596684554938,
      0.739386020358225,
      0.696643203066809,
      0.734782520808287,
      0.6664916817356,
      0.491528300275152,
      0.877614301665611,
      0.588476301224287,
      0.568126255934116,
      0.572725456574092,
      0.670556151247731,
      0.678399179214739,
      0.620486128084193,
      0.645133917940175,
      0.652118461874833,
      0.536086786815852,
      0.905089757173874,
      0.528423257923342,
      0.755923386590392,
      0.708461091561938,
      0.555258025316231,
      0.730714330178009,
      0.710988597481655,
      0.718041912721364,
      0.67377971596862,
      0.647032317982822,
      0.905693990549557,
      0.566890849616648,
      0.54575419589716,
      0.639252081313845,
      0.629466892793975,
      0.888622868532501,
      0.728426004699142,
      0.747528795860738,
      0.638407711190094,
      0.679879925555575,
      0.750668107164711,
      0.651536069611103,
      0.533792463367922,
      0.687366783939835,
      0.516191887739223,
      0.663197829897692,
      0.645870931363412,
      0.541462062789055,
      0.680862725052807,
      0.660351291604704,
      0.647890789270872,
      0.696574530034824,
      0.49174087861985,
      0.668221692098189,
      0.56618257839117,
      0.501374500001826,
      0.651130423249594,
      0.698937529642863,
      0.732917294088919,
      0.690913468360535,
      0.648617240750207,
      0.645621297125562,
      0.676583124800832,
      0.654315799705102,
      0.828465293540956,
      0.425505194522788,
      0.675949497299294,
      0.642894751164182,
      0.645805718425589,
      0.658969964587664,
      0.578069802656101,
      0.643047812884707,
      0.656442834529072,
      0.609222916121288,
      0.608903388496296,
      0.658568848359928,
      0.690793916373956,
      0.849769592285324,
      0.600500788267583,
      0.656347883830672,
      0.679451265289043,
      0.656842572591237,
      0.71304012182889,
      0.610967737559362,
      0.682655870393545,
      0.658460552266053,
      0.72105130889057,
      0.73205488078424,
      0.63839348938647,
      0.676295239110543,
      0.944340308993424,
      0.654700018092452,
      0.669811684088933,
      0.751438127974188,
      0.696169807944417,
      0.747228268961146,
      0.644901098458748,
      0.461941948119705,
      0.510788283266515,
      0.658443818462883,
      0.714984644445496,
      0.673077569412808,
      0.652837822599278,
      0.718238591799527,
      0.685720478775899,
      0.661306612598245,
      0.695034416028746,
      0.649934758537204,
      0.609829827261635,
      0.624436241528051,
      0.592458838887676,
      0.624646134952986,
      0.682937359245692,
      0.710574394017168,
      0.639001471146015,
      0.702538896952729,
      0.491200259479572,
      0.574228565695258,
      0.732671347064414,
      0.641113604594065,
      0.56070260340062,
      0.678464518062001,
      0.487119228433481,
      0.683356414063034,
      0.715818693055016,
      0.600353126857243,
      0.68282765691252,
      0.668488778082094,
      0.670486179474868,
      0.569329552713388,
      0.719450966562407,
      0.756542746704191,
      0.705716082355252,
      0.728767917753328,
      0.77276804822391,
      0.738513493847455,
      0.745175750690721,
      0.632620065099458,
      0.681954371703759,
      0.693712683425674,
      0.661074251650761,
      0.701718144613759,
      0.635550102362076,
      0.556137741909845,
      0.786620543492254,
      0.611436057253418,
      0.652202225126068,
      0.580438861132031,
      0.538274991107526,
      0.747999931020365,
      0.621293898215996,
      0.535790411783073,
      0.726899383375549,
      0.654499514738854,
      0.867069460948138,
      0.523457735536876,
      0.722653497176554,
      0.646367558470179,
      0.699493572109429,
      0.670228218140784,
      0.634701351145125,
      0.649958689186286,
      0.631126076241592,
      0.662643118197974,
      0.787265672078652,
      0.726737609571195,
      0.65846282225328,
      0.674054351976898,
      0.631874490212861,
      0.795385853953811,
      0.59872063948497,
      0.725497143851894,
      0.68418356209362,
      0.65768005816671,
      0.816270162266119,
      0.645927827470254,
      0.713574622547247,
      0.608232761931481,
      0.579933179312629,
      0.713830340721658,
      0.615524963608549,
      0.590518397368232,
      0.644995758863559,
      0.61381440868011,
      0.864977979868424,
      0.634219645487331,
      0.626998193395335,
      0.612045941906526,
      0.578058438732675,
      0.702603226158445,
      0.658419744920086,
      0.623134885085953,
      0.64613584296355,
      0.660719455195884,
      0.841857784623462,
      0.577214155730425,
      0.889416563613995,
      0.601859792037575,
      0.686559066210033,
      0.759477392570406,
      0.665006585882651,
      0.709642772427018,
      0.719711203662479,
      0.65743451239588,
      0.696540452113761,
      0.682881078894605,
      0.704786451340988,
      0.700071713688935,
      0.574925420602427,
      0.729598170819006,
      0.61407489127941,
      0.577250776433068,
      0.728400973282624,
      0.517003580880505,
      0.556273988749093,
      0.622219212438635,
      0.518712737187828,
      0.625158693387661,
      0.650051215625767,
      0.586051796880869,
      0.756550059759325,
      0.687922906460905,
      0.498753156580397,
      0.59789921315591,
      0.763762338860112,
      0.909088265781218,
      0.702752984774289,
      0.626643680003729,
      0.632781451324406,
      0.602861680240108,
      0.418916127616894,
      0.879305806910468,
      0.467218218306384,
      0.697486865408738,
      0.682976723456231,
      0.66101217521146,
      0.568983787167545,
      0.635349723420459,
      0.69412612806049,
      0.77737295627081,
      0.629101689390806,
      0.588679160091815,
      0.659136678935168,
      0.580699351847519,
      0.554322039835901,
      0.661369216430486,
      0.688931649192722,
      0.625058721465753,
      0.554963030582099,
      0.537862225079578,
      0.585660718387893,
      0.680475647077465,
      0.849819395337979,
      0.641869514700283,
      0.601897231193595,
      0.591184749761412,
      0.673705377255468,
      0.620676615004179,
      0.71782267792938,
      0.63852209362472,
      0.73307362441647,
      0.578952138567669,
      0.5949251495177,
      0.640645699814136,
      0.684155885117854,
      0.74911916929076,
      0.52901190107014,
      0.515451085799837,
      0.829011661485442,
      0.539960969771431,
      0.703700359987754,
      0.627148157740532,
      0.627221787654451,
      0.706773325803791,
      0.721802663997799,
      0.612781780467604,
      0.654824835898285,
      0.613180631138715,
      0.897921920636021,
      0.704635562820693,
      0.624174515867175,
      0.66938419913331,
      0.535968869995432,
      0.645986741600857,
      0.444953755684555,
      0.449587928249374,
      0.673244362424115,
      0.550790054993544,
      0.758779937765858,
      0.576924987756477,
      0.6286056278405,
      0.639328386431632,
      0.601726035204943,
      0.666187272210777,
      0.615764688921237,
      0.56110367939964,
      0.482438939430188,
      0.672033724090326,
      0.615645538938445,
      0.664745185968522,
      0.660865869350152,
      0.656931712090934,
      0.621053081608815,
      0.478723568799087,
      0.691309189692684,
      0.719859168352561,
      0.609551427796745,
      0.559076296983904,
      0.535095465327796,
      0.824504453763877,
      0.748790472211521,
      0.669029695127877,
      0.55146826518661,
      0.561099076335495,
      0.77999336762057,
      0.874855508749187,
      0.684372014335938,
      0.70367277786055,
      0.534105382314397,
      0.373606260175492,
      0.873812714054622,
      0.668684892361594,
      0.610848395693911,
      0.558122798188986,
      0.615734488668235,
      0.921187677101705,
      0.676439088821399,
      0.728263941604294,
      0.588668113638366,
      0.648470734600727,
      0.917936713732906,
      0.673821749287434,
      0.820967864856032,
      0.629655331025088,
      0.579367009260686,
      0.862182132997868,
      0.659726950150774,
      0.645007058183144,
      0.671842226830082,
      0.659333097378092,
      0.630580835656326,
      0.623842582410281,
      0.658468770509935,
      0.803584635118193,
      0.679181118447399,
      0.640980052742714,
      0.679700573365928,
      0.622483469409412,
      0.669860142376023,
      0.6014106109439,
      0.536897241190478,
      0.638944114687024,
      0.716698587760394,
      0.662068677764949,
      0.69780641909853,
      0.611608972268057,
      0.880774989319849,
      0.643298763640438,
      0.638819519364378,
      0.680676413974267,
      0.583003290913967,
      0.733810824107554,
      0.820084591519885,
      0.670268838639139,
      0.661629183668573,
      0.634414711205619,
      0.571621866924632,
      0.636690441419061,
      0.581579357040219,
      0.714059005672074,
      0.559528778130132,
      0.697135822130489,
      0.855038289019924,
      0.619243822572176,
      0.584601368490362,
      0.673666580892679,
      0.593355233326892,
      0.67739036195582,
      0.654474189824975,
      0.77280235972861,
      0.70717169948262,
      0.632846898632912,
      0.897189772853997,
      0.587208673060598,
      0.841183276400852,
      0.591008966928122,
      0.630948028901824,
      0.721029757993876,
      0.648722021557484,
      0.658262451900003,
      0.752561656560337,
      0.576599041100007,
      0.934314660978296,
      0.600794534119137,
      0.515628013634977,
      0.621562090133748,
      0.636963118631953,
      0.618533452693393,
      0.83030963768967,
      0.646008615836229,
      0.628828421199224,
      0.563158755701149,
      0.566522527891055,
      0.875922386726923,
      0.458916812926105,
      0.568730375874395,
      0.719922799492669,
      0.631401560157621,
      0.823459306119081,
      0.650980679152344,
      0.572757492270496,
      0.588919684834985,
      0.528081657666796,
      0.889395053752398,
      0.571086102342421,
      0.496524564163832,
      0.586768953886151,
      0.556978052137101,
      0.406508671729172,
      0.743679584302623,
      0,
      0.349211610155857,
      0.311528274574194,
      0.256329942677008,
      0.3970923231909,
      0.562495227750732,
      0.531005650319051,
      0.41159441495138,
      0.408306374330655,
      0.205399430809085,
      0.512676882616622,
      0.435419668818627,
      0.751844919066586,
      0.372129025280056,
      0.300958938050384,
      0.635890231264521,
      0.232181968959966,
      0.661782780187621,
      0.435907259490691,
      0.406612725106928,
      0.321795822861572,
      0.494477739906955,
      0.575913046834308,
      0.236114654225443,
      0.600732927213457,
      0.571339958585326,
      0.496181174764119,
      0.38204349495552,
      0.342760059607551,
      0.24716689513227,
      0.326944970653933,
      0.452965166662898,
      0.393595362800009,
      0.384643435427119,
      0.387788747122427,
      0.273399251689652,
      0.309151572977878,
      0.476180530996095,
      0.423205700238365,
      0.70117692827632,
      0.26236671437897,
      0.338884321366278,
      0.474582327309211,
      0.285136709753809,
      0.602583607211638,
      0.352028493923586,
      0.818569247372099,
      0.645247870758852,
      0.616869210008135,
      0.266785381678144,
      0.444860782175301,
      0.70885316163849,
      0.908728886572569,
      0.568852757384447,
      0.808418108883331,
      0.513031687839509,
      0.735235108396434,
      0.69777261393627,
      0.598754950982389,
      0.853287759852709,
      0.569406974524518,
      0.895449295338212,
      0.671394548769494,
      0.926049057998782,
      0.699437082032714,
      0.694901488982058,
      0.696113809883442,
      0.684451025976494,
      0.703437259002288,
      0.672076418021116,
      0.718119059589751,
      0.676651285953379,
      0.650160451563036,
      0.68053316930714,
      0.617434914736066,
      0.61604665528224,
      0.581067753821015,
      0.586918920129746,
      0.637014045223875,
      0.614899899525604,
      0.857837835848534,
      0.519317486090369,
      0.694182307261778,
      0.572127122603606,
      0.62016162897286,
      0.71314123557979,
      0.660568124077891,
      0.743052073246039,
      0.701953004402661,
      0.559191430045063,
      0.836006324428606,
      0.487177755290882,
      0.569382146640252,
      0.609876627015271,
      0.607930005024328,
      0.660241411735717,
      0.697732675534507,
      0.705567400518245,
      0.658514296705761,
      0.641723299567905,
      0.871501166933733,
      0.652175490649804,
      0.750038409281533,
      0.659007217201407,
      0.66752461333597,
      0.670433513926736,
      0.680925867499283,
      0.71430932311239,
      0.698270933258764,
      0.694255235304233,
      0.869838755849145,
      0.63000102762888,
      0.56682211840872,
      0.608455972987848,
      0.597574354449724,
      0.882105978987926,
      0.746682988864396,
      0.72884838272254,
      0.567188370265595,
      0.574437510431733,
      0.749939976264607,
      0.662816470514407,
      0.567860188493115,
      0.669829401577426,
      0.584564089771648,
      0.616577703452365,
      0.672480289054258,
      0.538499082007075,
      0.70470886608475,
      0.753172033493374,
      0.720839388600853,
      0.716242742314157,
      0.5445052388412,
      0.615185429390804,
      0.572143612803762,
      0.502662752304007,
      0.641682877297043,
      0.721381861148914,
      0.685191605198758,
      0.664650123294372,
      0.634279256134843,
      0.674190386986962,
      0.661961177222483,
      0.612714035688043,
      0.775329711758201,
      0.438766619865267,
      0.619117772729268,
      0.639215845538917,
      0.687820439989341,
      0.666532000724504,
      0.699434476435916,
      0.61476123152026,
      0.691798941807544,
      0.725507121457022,
      0.727120347033793,
      0.765623756374096,
      0.707480726411448,
      0.842892767460458,
      0.638552101572527,
      0.714586956768464,
      0.715259762377039,
      0.776987812972131,
      0.747929305222123,
      0.571003702964919,
      0.680641408843974,
      0.592490519450679,
      0.68516821756125,
      0.750231670365837,
      0.634759215915077,
      0.697809524272842,
      0.935430129125022,
      0.601412678324414,
      0.690105827791089,
      0.659375754327268,
      0.733487184976117,
      0.721388846402269,
      0.68216104282712,
      0.551715889574648,
      0.52535969722672,
      0.708739964616891,
      0.74591064184177,
      0.705164705715604,
      0.670665377197743,
      0.689568471184969,
      0.721233348345948,
      0.65094331413413,
      0.631123530268606,
      0.577956190083465,
      0.576102888865287,
      0.635563732775201,
      0.522805718832868,
      0.603902326462648,
      0.612529844899205,
      0.665844328515248,
      0.672496540370152,
      0.654822475968762,
      0.541896574986245,
      0.453150027905781,
      0.705569673326295,
      0.59584281941293,
      0.587142394489201,
      0.666131009232285,
      0.539238022718686,
      0.705647516780018,
      0.732014677440768,
      0.73458290621475,
      0.65364761114626,
      0.615195501694955,
      0.664609309188548,
      0.641437933354479,
      0.664217981110084,
      0.733807893290818,
      0.577704491585666,
      0.75397269871385,
      0.74758313907871,
      0.806531189277557,
      0.713385343286255,
      0.532056851854611,
      0.668170189370827,
      0.686462379153646,
      0.566807315115046,
      0.634451216630699,
      0.559269400973367,
      0.573006522770746,
      0.691734422785564,
      0.603061601441985,
      0.656422797900371,
      0.628864980228434,
      0.473670907059202,
      0.719338937170939,
      0.700462530763605,
      0.581658039345232,
      0.764017107561566,
      0.786386841553768,
      0.835167492037261,
      0.682509444584248,
      0.688222910461185,
      0.711383411159991,
      0.697389642801999,
      0.667455650786674,
      0.759379176056318,
      0.76942981560849,
      0.732547165886838,
      0.672880578552711,
      0.794323467734083,
      0.679513715575565,
      0.63297179917038,
      0.63653196832312,
      0.663063984617694,
      0.758217042143684,
      0.528267607789777,
      0.730955964381887,
      0.525950604229927,
      0.547801030378079,
      0.783010690689724,
      0.662476468673631,
      0.632477538776028,
      0.549920205679073,
      0.567426478625376,
      0.723634025080725,
      0.745955819310462,
      0.707245721407279,
      0.764171351719581,
      0.736219519819981,
      0.842589381991084,
      0.686873263432065,
      0.628326294435681,
      0.600787410813485,
      0.529695376105411,
      0.652815474152047,
      0.685361794589495,
      0.574842099115602,
      0.748041427344949,
      0.73806316038542,
      0.832311666248045,
      0.655453693484071,
      0.871471108978782,
      0.661954298955731,
      0.679036653635475,
      0.720156437657856,
      0.695095283912009,
      0.690978996905443,
      0.751900343357064,
      0.709714542625759,
      0.701244210448829,
      0.688143107355116,
      0.66934636747602,
      0.72583516383192,
      0.68198188711936,
      0.664917960611729,
      0.654724454214079,
      0.515185397628382,
      0.723909590750116,
      0.460942360950095,
      0.526167060734098,
      0.635054601041241,
      0.613316166906679,
      0.667784174426439,
      0.61109600656314,
      0.629735182475471,
      0.695723818541387,
      0.726035532852719,
      0.61208907074827,
      0.73045653381279,
      0.793509989449344,
      0.904318035149021,
      0.579602130742812,
      0.547613500343891,
      0.590441408393299,
      0.712951797087706,
      0.548873892305269,
      0.864437806161535,
      0.585800374221431,
      0.636658112986526,
      0.673318007592388,
      0.686445635171553,
      0.663324355919968,
      0.612833065470603,
      0.639001212077971,
      0.772759562070656,
      0.666154955111425,
      0.737495312105355,
      0.717979453345498,
      0.630173371061844,
      0.68338295446399,
      0.704480675991856,
      0.685860843336724,
      0.64545511280476,
      0.661476562691754,
      0.671958675417311,
      0.659864083243604,
      0.690243263006732,
      0.841288838987978,
      0.575263424015365,
      0.505899676213645,
      0.659416558314301,
      0.673441101692932,
      0.688305610005957,
      0.729620122994196,
      0.594614068908042,
      0.699594060317993,
      0.638577555383816,
      0.683940300065039,
      0.71588715296767,
      0.64455426411661,
      0.692214166708079,
      0.481326246997522,
      0.522924723740298,
      0.813657111446577,
      0.616102879870382,
      0.651013169361612,
      0.695666312855823,
      0.744869812796238,
      0.730994851421212,
      0.670579398581934,
      0.636978150112446,
      0.616460600707515,
      0.538103689610858,
      0.86158844453823,
      0.742691696061221,
      0.665845647328948,
      0.55058342834301,
      0.700984321955567,
      0.751821978312355,
      0.630390942289124,
      0.477610511708613,
      0.635983053410992,
      0.552549111629936,
      0.763281715125589,
      0.626765529505932,
      0.753815439511002,
      0.594062260079055,
      0.552679134813343,
      0.662025892773342,
      0.597905694465918,
      0.584562441345365,
      0.529990372689442,
      0.839877951667076,
      0.724985817761174,
      0.677914498245655,
      0.628905732299913,
      0.5917438351309,
      0.555467043373581,
      0.478477131627858,
      0.652762502608344,
      0.729343169282061,
      0.533086227189395,
      0.542511227313151,
      0.546681446952842,
      0.796702188946479,
      0.73099032438792,
      0.757718559736478,
      0.679710297054489,
      0.675418000740066,
      0.751043066426269,
      0.851417569059218,
      0.622259833971194,
      0.581809081123493,
      0.522101833097352,
      0.258612585294409,
      0.81284326155415,
      0.567387236776111,
      0.590882310422428,
      0.594427496485394,
      0.746893155307955,
      0.882732945946013,
      0.720691774783201,
      0.715834379482311,
      0.595000834786053,
      0.659546635500669,
      0.923100291299728,
      0.666745428186712,
      0.751021797697352,
      0.59012356760432,
      0.498846236971198,
      0.853427336855052,
      0.630358269967754,
      0.660262661643925,
      0.684600293022693,
      0.682832762943602,
      0.630655778812017,
      0.718807555671072,
      0.734974453012745,
      0.77994974624065,
      0.609607378769573,
      0.593901633836791,
      0.655314461983029,
      0.543009147196269,
      0.625002137987737,
      0.519317771713715,
      0.587380282826423,
      0.571673795430815,
      0.731699700924472,
      0.653365852992056,
      0.656307041313619,
      0.680056374192172,
      0.855728770742852,
      0.585490510795297,
      0.632565934641707,
      0.649258727476221,
      0.578303768766592,
      0.59161242035766,
      0.849390220435562,
      0.707393620973103,
      0.666261789232401,
      0.670837228265882,
      0.56685064659603,
      0.618316419346749,
      0.601142350345187,
      0.656872974056176,
      0.490716418901769,
      0.657031734944737,
      0.851273103574038,
      0.559111753580057,
      0.532138645891303,
      0.606677113644111,
      0.498228598201741,
      0.678334735211241,
      0.683852547382351,
      0.760032815777546,
      0.702501568062094,
      0.630185628925812,
      0.884763181680245,
      0.47117292013567,
      0.806825904039303,
      0.479324915643313,
      0.667060524731753,
      0.660953067557259,
      0.505126920401689,
      0.673381480374265,
      0.734186988185868,
      0.639509594045669,
      0.925339529541256,
      0.50415026634544,
      0.593975311582236,
      0.605337769355169,
      0.562177328716338,
      0.540461616180748,
      0.839851594215189,
      0.671782027082011,
      0.604499058896494,
      0.466544958576808,
      0.518208182014117,
      0.846852216856955,
      0.51193333683986,
      0.650000899948103,
      0.712299671773678,
      0.67926218600865,
      0.808291051669673,
      0.602848523020981,
      0.488662404274037,
      0.596677255413109,
      0.462900795705352,
      0.886770232595218,
      0.487762213631715,
      0.420477152822309,
      0.591523559719522,
      0.535836606893956,
      0.496706244669737,
      0.753675595183929,
      0,
      0.739135175826263,
      0.467287803295712,
      0.458065507491324,
      0.451009608859822,
      0.572509749681565,
      0.7962847494398,
      0.698182420311201,
      0.592220747645208,
      0.318310449037788,
      0.527610923711267,
      0.757533265214524,
      0.603189918210003,
      0.319810764795947,
      0.519752057780348,
      0.548969196609343,
      0.399748600726298,
      0.673097607439135,
      0.634087748902336,
      0.817452309001733,
      0.597948049781091,
      0.387182189728567,
      0.662761354636498,
      0.547692325201262,
      0.613894114601698,
      0.591832072792778,
      0.503735119181911,
      0.309788255012881,
      0.427266796488129,
      0.323756944196963,
      0.530903662262624,
      0.543015753718964,
      0.394530127434775,
      0.650064934626427,
      0.626201170977428,
      0.45952634267062,
      0.438420805202779,
      0.678009534059536,
      0.816767946351965,
      0.621039458547402,
      0.196881649794234,
      0.342061983788302,
      0.438131753748573,
      0.497320221693372,
      0.60446789868143,
      0.747136733522771,
      0.725437706318565,
      0.728464165753595,
      0.442995550319071,
      0.242546222250741,
      0.736389214415955,
      0.64391870277751,
      0.765344146237919,
      0.479046973113408,
      0.66397143412969,
      0.445470066104187,
      0.662558870357749,
      0.484937297011919,
      0.574684570313781,
      0.633637400245048,
      0.504388553051272,
      0.697979558520571,
      0.548164049038316,
      0.732997127070452,
      0.689410357887307,
      0.749654352387356,
      0.619188380276082,
      0.614933029639352,
      0.58809472907929,
      0.545722655848466,
      0.705132199699441,
      0.585994221981652,
      0.650053933548109,
      0.620652358860422,
      0.611849357053256,
      0.628136028395297,
      0.587405410228501,
      0.561818609384621,
      0.604686735670701,
      0.797931452111916,
      0.754677201609219,
      0.484630805758263,
      0.664777980668546,
      0.588554728064444,
      0.677552241455189,
      0.664830484942776,
      0.620641282992341,
      0.652734145842865,
      0.639455531072647,
      0.54004377094087,
      0.741592466102058,
      0.491586836653498,
      0.60898796611001,
      0.618882758311815,
      0.659395775625532,
      0.65959294898653,
      0.610435681901594,
      0.620484837835613,
      0.627699263915258,
      0.659985543715669,
      0.799316269194507,
      0.656998129420065,
      0.741450209878851,
      0.537388465902991,
      0.672795214338045,
      0.633973127681158,
      0.642884956319439,
      0.697148498948865,
      0.685451812775673,
      0.690522766279869,
      0.794291245072279,
      0.760923832743923,
      0.609263646123866,
      0.585162336502653,
      0.606014187411279,
      0.763647742332426,
      0.573985441937818,
      0.662893029473544,
      0.581265721352803,
      0.598637733528519,
      0.722603536227081,
      0.760092871905949,
      0.506009457704905,
      0.686582693304277,
      0.710929825344832,
      0.599005047652646,
      0.65703339523318,
      0.670545567187455,
      0.818053089774696,
      0.703773520568391,
      0.691128413301882,
      0.667268521932139,
      0.64449868015234,
      0.579366570295494,
      0.577869906561324,
      0.520770799398005,
      0.694989842607785,
      0.650275414660627,
      0.630340058172353,
      0.638678519375141,
      0.60477413407862,
      0.724096942316101,
      0.661786191464072,
      0.640873802085707,
      0.596052874470799,
      0.474946592120227,
      0.613985771535026,
      0.602405999067183,
      0.833190120296155,
      0.62496506315819,
      0.620044704429782,
      0.700035367211566,
      0.710887539053886,
      0.651338090958993,
      0.770934352398799,
      0.814112823938068,
      0.708537747585288,
      0.771709476395893,
      0.698986206587784,
      0.636918282864972,
      0.582093860186148,
      0.66742486705663,
      0.678621038936456,
      0.613018146777915,
      0.591372990076974,
      0.600072591237715,
      0.635200858885823,
      0.705941648819438,
      0.654771377254005,
      0.660796682173582,
      0.759848133610047,
      0.611620922901334,
      0.65461649362431,
      0.634835640715096,
      0.64615981418096,
      0.596874794282846,
      0.640842629424638,
      0.559183880079843,
      0.517630747937974,
      0.66109857311853,
      0.651547288896448,
      0.634329555634277,
      0.56534645266677,
      0.56132289922631,
      0.620783865576682,
      0.629216168337458,
      0.487163295090097,
      0.495844695033442,
      0.596431340974047,
      0.615101099236822,
      0.485713297030308,
      0.622356287598118,
      0.654084128834413,
      0.631171926815192,
      0.658976039885149,
      0.652643505195092,
      0.683885356666519,
      0.561615218318643,
      0.687992541079566,
      0.594603989396616,
      0.600641599536262,
      0.692717360719584,
      0.653844806255927,
      0.732525990958028,
      0.719607270807438,
      0.624448494611464,
      0.631641430383514,
      0.464481819230672,
      0.664623262005459,
      0.631285164756347,
      0.618660947578883,
      0.679802925340366,
      0.629708032425739,
      0.660556647702867,
      0.668333641906769,
      0.675833613683411,
      0.743012152729763,
      0.562909020598053,
      0.729688210110955,
      0.735068731922548,
      0.560545544573085,
      0.646158284079815,
      0.594903220233736,
      0.558055298836067,
      0.692283865796954,
      0.551470755388316,
      0.589177801483732,
      0.626345223785326,
      0.446831773473858,
      0.674953574987211,
      0.636968245489967,
      0.618440936340189,
      0.62617552886255,
      0.686613927205553,
      0.751415216371449,
      0.660620833419539,
      0.676060515181695,
      0.648068739482986,
      0.693272423157549,
      0.680573909638316,
      0.692868473082618,
      0.719160696289684,
      0.701341653327736,
      0.72179061502165,
      0.725556273567254,
      0.669880898101346,
      0.565421337011858,
      0.500425658438426,
      0.629977929768668,
      0.637156256358581,
      0.457345705590755,
      0.718004496151966,
      0.495267380544486,
      0.662018916264723,
      0.715286725503247,
      0.603896841449963,
      0.62258438185408,
      0.584515467693778,
      0.589471211528251,
      0.671192228877913,
      0.651631399846601,
      0.606960751701673,
      0.703351338854996,
      0.660320249337339,
      0.764514446665057,
      0.658659540623126,
      0.646473548378973,
      0.645967974519995,
      0.535462866897691,
      0.712228613438722,
      0.681337042086257,
      0.567801013368262,
      0.666436485121439,
      0.684157103034126,
      0.780985338772649,
      0.674659116630389,
      0.799093344964701,
      0.65942073348222,
      0.621486042824963,
      0.678225251895222,
      0.598499037193192,
      0.612106336359019,
      0.651090920164709,
      0.639647514857697,
      0.663307075021198,
      0.716399107954046,
      0.686499878546695,
      0.741136153685334,
      0.724515294238303,
      0.643906297049033,
      0.612034179018991,
      0.543114600958367,
      0.653857768213367,
      0.526424034701278,
      0.589304755250248,
      0.636314298426302,
      0.62906596980277,
      0.669590300735146,
      0.619716040612854,
      0.640288487454262,
      0.509733668877958,
      0.583785151697059,
      0.625040607676115,
      0.646435092393377,
      0.652056632635885,
      0.810365104022495,
      0.630531087577289,
      0.541507946567532,
      0.577202637737367,
      0.671605966289841,
      0.602888260292942,
      0.800417109142316,
      0.73528824916889,
      0.632352872273759,
      0.697451002635805,
      0.730803630692837,
      0.641632101960302,
      0.611002227662581,
      0.538792789784468,
      0.736026078568103,
      0.68903508867397,
      0.798937591503161,
      0.795579878388561,
      0.678031156475058,
      0.632979405102551,
      0.637256101932231,
      0.684188803878742,
      0.673210550498312,
      0.630631270732365,
      0.672106136902437,
      0.75227615454171,
      0.724074277669421,
      0.748252735650585,
      0.585017520834622,
      0.620802896726104,
      0.643251744382371,
      0.657120124787443,
      0.633926025392555,
      0.594086975863343,
      0.709904926697672,
      0.575762266671683,
      0.565669587274414,
      0.632000514092194,
      0.702188314404281,
      0.673436940115396,
      0.729425198867774,
      0.644493892048808,
      0.550389443770245,
      0.751187623745273,
      0.522325714832625,
      0.702866853022011,
      0.667366888545751,
      0.67661197339829,
      0.744842522086057,
      0.621994651472619,
      0.578520106138938,
      0.689064560438251,
      0.592835663174518,
      0.794549140488984,
      0.694982113845117,
      0.56826282051994,
      0.604161390473791,
      0.737048837426478,
      0.696486631059611,
      0.827612583776341,
      0.680591735209572,
      0.747180365650614,
      0.461388707326326,
      0.717323155807161,
      0.658052465394295,
      0.71868301219523,
      0.566971936489342,
      0.516164596344735,
      0.713354429883181,
      0.619263547605833,
      0.591885304758396,
      0.701814995510686,
      0.778364150953313,
      0.669997696070958,
      0.641966798588488,
      0.566107976070095,
      0.519717387185184,
      0.499151561769365,
      0.589747166158832,
      0.648869542228504,
      0.565390409468033,
      0.515214762769639,
      0.552799483461275,
      0.558371738629436,
      0.713027672969046,
      0.610348867735611,
      0.647863145229281,
      0.672571936150775,
      0.658111630398571,
      0.659581008572111,
      0.580553197763217,
      0.632120148309956,
      0.562045628224173,
      0.67667617693137,
      0.323926115165217,
      0.742498569417953,
      0.581557137690003,
      0.558622271896778,
      0.723182610028048,
      0.853340863645673,
      0.754154775012161,
      0.582994519730994,
      0.60498879900745,
      0.58521324642811,
      0.537527324436846,
      0.815330338745653,
      0.605928429491334,
      0.710948596940523,
      0.634818838867819,
      0.599372055882042,
      0.744689679979248,
      0.688836019378557,
      0.608610083689525,
      0.711632150869825,
      0.563266574866556,
      0.682257943744911,
      0.652792774423312,
      0.639448528667865,
      0.647181318968384,
      0.460033477872383,
      0.578916326315606,
      0.6243265833931,
      0.590688091136325,
      0.562491671772497,
      0.446468369238029,
      0.52051735157761,
      0.704754049472912,
      0.623698014124074,
      0.642136972771838,
      0.624143348019211,
      0.640445387022028,
      0.787455565060729,
      0.606548753383037,
      0.508286927728041,
      0.620902441960275,
      0.569610289426152,
      0.652767286552599,
      0.658303733950072,
      0.681549742062034,
      0.527872152906099,
      0.510479768021954,
      0.557240771837784,
      0.614807989877817,
      0.681851475068223,
      0.674917537247775,
      0.735369095943952,
      0.549402718107946,
      0.651758493794626,
      0.527085953376864,
      0.5867375863163,
      0.624935060905144,
      0.475223970300372,
      0.740886248218157,
      0.618752330065835,
      0.691785027347354,
      0.681684523716612,
      0.64327682581121,
      0.751346662055993,
      0.661582974500219,
      0.702323380740228,
      0.488208557850864,
      0.656799860552172,
      0.674819082494824,
      0.429663552785343,
      0.609439829741796,
      0.650415090046022,
      0.548462035103168,
      0.78417601504815,
      0.552412779766602,
      0.491393196270061,
      0.657641838779114,
      0.364849733444858,
      0.563405582267401,
      0.681507233130166,
      0.51223990999387,
      0.485524879036929,
      0.438100446087214,
      0.512420754513972,
      0.771033422965901,
      0.580519420922632,
      0.613427608132768,
      0.604346910289659,
      0.586849317969827,
      0.745105223270237,
      0.506765195680019,
      0.574274088806731,
      0.627865096523418,
      0.540656070997312,
      0.760771721847595,
      0.505182381130266,
      0.59652017174635,
      0.589709654751645,
      0.52323480423046,
      0.403370411364086,
      0.584825891938051,
      0,
      0.748875517440047,
      0.622813540732271,
      0.761751127579483,
      0.458844755752164,
      0.536403947851155,
      0.7913547360292,
      0.744064780682576,
      0.849448487935578,
      0.531111900543305,
      0.722515044356918,
      0.784498033923626,
      0.455793010673545,
      0.261159575170971,
      0.564123253633486,
      0.481753174817715,
      0.782699474072249,
      0.432085447091152,
      0.820526238551993,
      0.850038101041508,
      0.780594624647862,
      0.299769972029654,
      0.719822624284985,
      0.623870741192926,
      0.350101147849024,
      0.496096301925884,
      0.550962628191065,
      0.594679056375807,
      0.456010807056597,
      0.451365409682898,
      0.657727780021894,
      0.581113908613434,
      0.479487732261557,
      0.823369021750292,
      0.71813183707973,
      0.851313515007489,
      0.488696904628168,
      0.736610266053587,
      0.837344835643755,
      0.323960889722015,
      0.0309352948263281,
      0.37227888922527,
      0.432743382396812,
      0.869496976923066,
      0.409808086153097,
      0.753776993005322,
      0.42782425401766,
      0.692056252690553,
      0.377293223133833,
      0.39484066886221,
      0.728630677208361,
      0.564967355004874,
      0.717117361104353,
      0.490201669593136,
      0.465295937941915,
      0.481289614731752,
      0.584935306341608,
      0.544452604996806,
      0.581700022550763,
      0.642452909911088,
      0.541342635584817,
      0.667667982805481,
      0.567545783738965,
      0.681525200193314,
      0.743468144406078,
      0.736926663455583,
      0.589577388056395,
      0.585358908434005,
      0.607357294594741,
      0.584845030355427,
      0.70810223632581,
      0.854983404521398,
      0.634176263147345,
      0.579933709241083,
      0.631499574860987,
      0.675969422101641,
      0.584554384576344,
      0.556339345184339,
      0.579570943822637,
      0.75541722266504,
      0.776678177191287,
      0.769669444205451,
      0.64746484918827,
      0.615832315527088,
      0.689071605108817,
      0.645053981008254,
      0.68481557575277,
      0.65473579378179,
      0.645816773997284,
      0.547011579277206,
      0.696331646358811,
      0.547972678791222,
      0.545479948693856,
      0.605041887739488,
      0.665967306301468,
      0.607825228592534,
      0.645996026581474,
      0.673125653916282,
      0.684735207352453,
      0.671298518235516,
      0.716026954634087,
      0.627061914814295,
      0.603482172920565,
      0.570997732116922,
      0.683146405805933,
      0.663234123947395,
      0.726857666680795,
      0.656844926414257,
      0.71655481262719,
      0.70142506110055,
      0.749702800528223,
      0.741793521578371,
      0.608623058840277,
      0.639709465568926,
      0.641892176455409,
      0.71998331567336,
      0.584973271092109,
      0.63385673525152,
      0.709981836283888,
      0.578454372362733,
      0.768713787161225,
      0.714102676262604,
      0.58610779596476,
      0.818802488971575,
      0.67381879742651,
      0.82801911160176,
      0.706841225419463,
      0.689711533772653,
      0.835339611017034,
      0.682309088320488,
      0.698376610582714,
      0.633676844875149,
      0.836644121698354,
      0.793761498008136,
      0.69466414218391,
      0.492643343595713,
      0.818148563493029,
      0.772835708265734,
      0.683227426904045,
      0.789427616023689,
      0.629346916461298,
      0.810165240674022,
      0.645972345948756,
      0.672647687292495,
      0.72434183113793,
      0.725720987556025,
      0.651268229920856,
      0.688186297457804,
      0.797152125562898,
      0.760907467193489,
      0.806750257247644,
      0.699350208074756,
      0.82105569704911,
      0.795981826477155,
      0.696432445897397,
      0.818059488833205,
      0.644343645060177,
      0.72177727562354,
      0.776905204972076,
      0.650649918752609,
      0.674470356796718,
      0.627973265863724,
      0.742490190659877,
      0.648340846370515,
      0.650900512302969,
      0.661716357636019,
      0.78402954934135,
      0.691971721666741,
      0.707247488020026,
      0.737970647203839,
      0.742279701257577,
      0.664046311935991,
      0.655579578371855,
      0.631116256362558,
      0.610201654600567,
      0.634929377755661,
      0.647970981681907,
      0.594623946497328,
      0.48324501891701,
      0.506045284180331,
      0.590227443393302,
      0.602904428033572,
      0.559142322263374,
      0.547728720649499,
      0.571060099050638,
      0.526758330604016,
      0.552576986595154,
      0.50135915893019,
      0.534741709439411,
      0.506035627068126,
      0.467643266793506,
      0.618215063905364,
      0.671667915670956,
      0.664100205559837,
      0.658784597194632,
      0.677092012961732,
      0.697192467872656,
      0.625554337922316,
      0.602429796146711,
      0.611321383143263,
      0.518348255552441,
      0.684616076347691,
      0.639544800230163,
      0.73452597958743,
      0.712244784731266,
      0.720673348063314,
      0.640110133846398,
      0.500723275078347,
      0.646854630319971,
      0.657217628517538,
      0.580410111477866,
      0.675492633614134,
      0.661072423223047,
      0.633438886434116,
      0.676675510152655,
      0.631879295448064,
      0.748351948781434,
      0.677083738062565,
      0.763611483075246,
      0.739224525682337,
      0.671700389311993,
      0.707771925765257,
      0.666634246938629,
      0.652581691366624,
      0.641721549075493,
      0.545657712950086,
      0.579994553908839,
      0.636671725471109,
      0.421567983483423,
      0.633559603853873,
      0.693188773123773,
      0.622439254576903,
      0.662494106205267,
      0.688652084238179,
      0.727625646838773,
      0.479202621193626,
      0.678581040766277,
      0.636152450956481,
      0.710308153299592,
      0.665972841362016,
      0.693599680575215,
      0.623929718351136,
      0.704576275093003,
      0.774125782590417,
      0.725213867612854,
      0.761798137334587,
      0.736675161667089,
      0.557344841689612,
      0.635713460756083,
      0.664883132921177,
      0.518858799518469,
      0.631577647996526,
      0.621122190589208,
      0.681575163445952,
      0.686698074757056,
      0.555243950479797,
      0.620027357331091,
      0.624406534922265,
      0.603370776747052,
      0.668264821875665,
      0.666309729367938,
      0.623227929863215,
      0.62237021304163,
      0.62302447196719,
      0.733757496964743,
      0.67438060118779,
      0.700959295598331,
      0.673050002311916,
      0.708426333701996,
      0.68496668016443,
      0.750814915809816,
      0.558748433855734,
      0.693192268673189,
      0.709764739749428,
      0.742740505233854,
      0.707320036108765,
      0.766301730850293,
      0.68509508125816,
      0.592259540256658,
      0.686247597257836,
      0.603913931481728,
      0.608409723118377,
      0.590956798702076,
      0.583063965890579,
      0.641406771343891,
      0.76219423468004,
      0.709219800543441,
      0.69505528110734,
      0.630870648766806,
      0.708263168922607,
      0.594730487092411,
      0.583946639222971,
      0.593289669887029,
      0.5518817726652,
      0.610993691892243,
      0.687052722221886,
      0.668291433032708,
      0.697677376413586,
      0.640015516545499,
      0.652789718644972,
      0.630495416507682,
      0.607065462930867,
      0.638081291546817,
      0.584691956432463,
      0.798386175152662,
      0.764272601335851,
      0.619053016064746,
      0.54117749109534,
      0.578061841133417,
      0.534691782028734,
      0.617353234876376,
      0.775938283973925,
      0.775948582927695,
      0.660313970259352,
      0.650068233368641,
      0.730180247843252,
      0.586186637821803,
      0.604660343940833,
      0.619590479152701,
      0.685062055669842,
      0.733963291968501,
      0.775835949160655,
      0.786770316583642,
      0.61881487204823,
      0.591729147775062,
      0.596892448373895,
      0.699743582062982,
      0.705536663745273,
      0.61414071821773,
      0.696006715090167,
      0.744962874296789,
      0.712104285056499,
      0.742262432470598,
      0.587264123957969,
      0.648150339910244,
      0.646004014278924,
      0.655869675712,
      0.629245706323089,
      0.591822727367823,
      0.767991370477691,
      0.476754009829744,
      0.667480938672574,
      0.553487025107519,
      0.653811755339807,
      0.680126592100987,
      0.705988362898036,
      0.671257112895469,
      0.75138091051276,
      0.663327613273987,
      0.709203409633099,
      0.74206427144958,
      0.815015703404804,
      0.738465321352155,
      0.821368754930555,
      0.767727990042468,
      0.589969991499473,
      0.655557444464852,
      0.612966617925913,
      0.709743997395266,
      0.711014546816259,
      0.527996773014372,
      0.643341311540127,
      0.667639137176977,
      0.651026437694128,
      0.810051185737111,
      0.730780398683314,
      0.783942194871713,
      0.511623115967527,
      0.78194175027136,
      0.67485635817588,
      0.636320002844737,
      0.59997916314513,
      0.543373856890737,
      0.720971336747486,
      0.79705649964538,
      0.672790588954509,
      0.750432669354583,
      0.744046835831897,
      0.687428994518319,
      0.677843146475779,
      0.7182548724122,
      0.830571760802913,
      0.587615490899607,
      0.660306528076209,
      0.652789299632257,
      0.524606156627315,
      0.526460488544094,
      0.717341425991928,
      0.6688702803908,
      0.699215672926773,
      0.716620498907612,
      0.696482952026337,
      0.813795192201529,
      0.696784782345101,
      0.727532997284388,
      0.655191231241235,
      0.65488444652139,
      0.662854729077678,
      0.865716189414127,
      0.371914482009215,
      0.790680088384592,
      0.793621371456697,
      0.669501552411039,
      0.785762827535144,
      0.873485186756254,
      0.818658684387252,
      0.734037100526934,
      0.719763730424036,
      0.595445636357558,
      0.643232006602359,
      0.783669553489056,
      0.632107828701602,
      0.718794922859729,
      0.657246440786519,
      0.624553378741063,
      0.67844166061232,
      0.667144331504065,
      0.628910645051845,
      0.70643179912524,
      0.461620142491586,
      0.686545704304422,
      0.66910631380327,
      0.596003062496621,
      0.608256056032457,
      0.453980308949156,
      0.581434294996322,
      0.644687432780691,
      0.669790895418091,
      0.6142822797711,
      0.664194104298617,
      0.611654322140117,
      0.696118294778901,
      0.670822272625494,
      0.691417566558274,
      0.721240577418112,
      0.667935437137726,
      0.733960248745291,
      0.645480959859229,
      0.575000409504704,
      0.645730645178043,
      0.616846243844703,
      0.651340564229078,
      0.692861315196178,
      0.842957957944998,
      0.547880409016172,
      0.634596787229933,
      0.607611633588754,
      0.781725698266345,
      0.740146012881691,
      0.67825267237033,
      0.796996258026749,
      0.467762575143957,
      0.708247198404408,
      0.686798325958306,
      0.720043468623471,
      0.623865737014997,
      0.586504337298017,
      0.724371852412921,
      0.711639961749531,
      0.694129861328606,
      0.721013543581014,
      0.657095516707638,
      0.668765316209739,
      0.708043992701083,
      0.729506464505949,
      0.638831008385386,
      0.645842738659902,
      0.655329154148655,
      0.508912577662588,
      0.536184630344495,
      0.695370071980322,
      0.586764614855422,
      0.763637511534878,
      0.628462438071373,
      0.408315180530934,
      0.643536367357675,
      0.535212260464959,
      0.552559886792569,
      0.666236958992017,
      0.555569162704245,
      0.521986264090047,
      0.655482319626818,
      0.641994980333237,
      0.714404282110799,
      0.629524354207314,
      0.668049735780107,
      0.603657184968898,
      0.654868653884985,
      0.690628211844501,
      0.583757985393917,
      0.580961186516778,
      0.638356074476008,
      0.528557640005875,
      0.692468096419336,
      0.479191588541412,
      0.618931981217324,
      0.606147981596295,
      0.583832337478691,
      0.399390497578706,
      0.559859881787753,
      0,
      0.463993312106501,
      0.673507726892382,
      0.757353246626723,
      0.41738601400214,
      0.58874684827634,
      0.546855440464044,
      0.593425404309949,
      0.864843365796075,
      0.582555376065537,
      0.814448562550137,
      0.596196314565133,
      0.314628483208019,
      0.252947645532395,
      0.371106984548971,
      0.452069382537524,
      0.843152822320965,
      0.531053312022696,
      0.80459392097249,
      0.598040313133901,
      0.765218946137517,
      0.37373899940174,
      0.756785940024986,
      0.649105349748933,
      0.450098852765898,
      0.510284486605878,
      0.577333073293444,
      0.645064661649715,
      0.461744005317762,
      0.495812453673296,
      0.658346358089914,
      0.550027453778752,
      0.549974653454855,
      0.784553664936517,
      0.610892809175512,
      0.891036512240753,
      0.487351302005213,
      0.706723355950213,
      0.608874585604554,
      0.197950311076278,
      0.108568632847532,
      0.30103862033433,
      0.343110337689997,
      0.907448476319219,
      0.542639182146386,
      0.511160232884408,
      0.369250927958591,
      0.56143392574765,
      0.302944741529493,
      0.474270339729893,
      0.447201563801498,
      0.499235221677177,
      0.739288372867275,
      0.358459530874969,
      0.459190150147578,
      0.346411176110226,
      0.502369571611667,
      0.563589658173027,
      0.461316911744707,
      0.635892387073297,
      0.42761972441997,
      0.655580038946701,
      0.497369462118531,
      0.687677553848981,
      0.745236466790645,
      0.643690194467246,
      0.645647296134654,
      0.632659735156742,
      0.650179996379269,
      0.628788903977384,
      0.745772549047196,
      0.90549259001505,
      0.672190088827431,
      0.624098853887536,
      0.678512195906079,
      0.691135985147054,
      0.615174147098672,
      0.591561555288292,
      0.62045445550209,
      0.528427048396235,
      0.817604312523709,
      0.802123692822488,
      0.699079994992601,
      0.552865809633336,
      0.414414210194434,
      0.648481481075106,
      0.736612027051958,
      0.691702218365758,
      0.703981294296615,
      0.596184848117437,
      0.737373668223304,
      0.431285450767618,
      0.473454150756279,
      0.630782217494613,
      0.485393565739734,
      0.56344875569033,
      0.691390612697745,
      0.718234663320716,
      0.683865453388824,
      0.715466208091311,
      0.718377618717758,
      0.676728872352112,
      0.575534993914179,
      0.618361088030819,
      0.731052109264626,
      0.642553887708665,
      0.820842667414095,
      0.685082172154635,
      0.860595555555034,
      0.653946173293598,
      0.747658398184917,
      0.611537087709011,
      0.639683407337794,
      0.691250059565059,
      0.690693221655643,
      0.672207641274125,
      0.641544311218632,
      0.66051648113532,
      0.721353528776794,
      0.520710866447782,
      0.81445611784175,
      0.554162355800079,
      0.556421453720573,
      0.857627310304188,
      0.58846646052436,
      0.890853538576686,
      0.753727051631127,
      0.543826837878086,
      0.590316161331144,
      0.505717864694741,
      0.487943021504082,
      0.586448220530562,
      0.867511887574207,
      0.774639511285487,
      0.775762444936065,
      0.540019243952143,
      0.731181344238386,
      0.781720125433557,
      0.578502260515189,
      0.786076121233309,
      0.691336748119108,
      0.772771197736721,
      0.690521781819728,
      0.585212521412739,
      0.802457282930486,
      0.792490508376918,
      0.580746310222401,
      0.742833234138191,
      0.692763735845762,
      0.799155762810065,
      0.830411393269153,
      0.678888266913467,
      0.839601640033864,
      0.825025409010365,
      0.585782718299001,
      0.608900067969449,
      0.535031990767391,
      0.73162453937523,
      0.694704499233037,
      0.703224889064029,
      0.71955035180073,
      0.675513291124537,
      0.818890414662641,
      0.656655920927354,
      0.751712150827841,
      0.745453900977807,
      0.774787128144961,
      0.714267975722809,
      0.706748565269326,
      0.645843358000455,
      0.716136651246279,
      0.612580254283792,
      0.551132642147047,
      0.654840148748338,
      0.661243772679561,
      0.680758401394219,
      0.656817760267389,
      0.64392666883179,
      0.499831989943214,
      0.444875381964486,
      0.638349082332703,
      0.641659847555267,
      0.604313070351243,
      0.573820672726514,
      0.570112032410759,
      0.573333411800414,
      0.542335519349321,
      0.49830307420143,
      0.529139352419318,
      0.453370655497774,
      0.3999594372316,
      0.449990591291112,
      0.633699889411751,
      0.711574338986139,
      0.654734461939959,
      0.68130242512467,
      0.586983346469743,
      0.61052876133602,
      0.616649727615441,
      0.585147430945693,
      0.570715555567514,
      0.556700825238907,
      0.448776626454165,
      0.676124321433303,
      0.615582372670468,
      0.767984678196159,
      0.526762650999878,
      0.566631773794993,
      0.699060993452273,
      0.679416050047351,
      0.621125465329068,
      0.717527577083118,
      0.660645471213291,
      0.64306138562526,
      0.706881941690157,
      0.70790739224816,
      0.565144866163924,
      0.585046290236397,
      0.566612598258501,
      0.590553492323623,
      0.795406627277825,
      0.77125366323848,
      0.656443126858133,
      0.703991131650467,
      0.628856540626268,
      0.589904813282839,
      0.535488393921518,
      0.606894705883098,
      0.459237589349162,
      0.592318837963796,
      0.546650659479344,
      0.499288012882177,
      0.707076978593326,
      0.713931484812266,
      0.763895140748511,
      0.512264394137566,
      0.542366011401801,
      0.431743743434421,
      0.699205803584428,
      0.649570116160031,
      0.715865007111624,
      0.557112941149793,
      0.765316577015345,
      0.625755475793589,
      0.671120422734636,
      0.691884376187243,
      0.705521414801798,
      0.739659342770453,
      0.704239293229957,
      0.710973354461174,
      0.606427205935493,
      0.55120197990983,
      0.628399410144956,
      0.498094800701183,
      0.723688072413764,
      0.57421572818838,
      0.62081125951461,
      0.621127178337203,
      0.511561911986281,
      0.617662789543463,
      0.718172562746027,
      0.669039747739321,
      0.602816237962778,
      0.48558237386902,
      0.760740182238629,
      0.586831811669416,
      0.70519282848638,
      0.755261607882601,
      0.766596788682305,
      0.648365488553387,
      0.703711756029998,
      0.603256787216691,
      0.589975891833714,
      0.774471506402365,
      0.786113578949013,
      0.594365063923089,
      0.785483791561924,
      0.610037700291618,
      0.585784848056154,
      0.708895562279334,
      0.640634575383907,
      0.625526409510707,
      0.605367734890149,
      0.635307737689824,
      0.651397336129551,
      0.711602403044142,
      0.707569708541815,
      0.692398579532913,
      0.671341767644877,
      0.749872697833553,
      0.555053054616637,
      0.549872108244074,
      0.496033711940894,
      0.433241713779426,
      0.509909271811556,
      0.708718246032673,
      0.716325763534584,
      0.645211086095444,
      0.683185163141627,
      0.684980913300899,
      0.677098990811984,
      0.670297940339879,
      0.557110808365667,
      0.436891537235949,
      0.824664236742722,
      0.746001701049736,
      0.601443410779679,
      0.603021082145391,
      0.521590763597539,
      0.522486462166942,
      0.469140980275597,
      0.781188898997479,
      0.660392054009965,
      0.726259726585858,
      0.582405025763648,
      0.632805650088603,
      0.546365309602232,
      0.594210600347364,
      0.668847011707396,
      0.678984828594589,
      0.80199031053499,
      0.805365232401766,
      0.788004217236053,
      0.59259974886166,
      0.720366742394444,
      0.683415432220902,
      0.635472960777075,
      0.752221184949369,
      0.668775616580891,
      0.762715727775522,
      0.625161228367854,
      0.631647989448636,
      0.689396719567271,
      0.506310982859494,
      0.525170337494118,
      0.614665018957444,
      0.612172295075225,
      0.663209260241636,
      0.670652059870808,
      0.730235217257078,
      0.505520337193705,
      0.785027301280694,
      0.434044323092499,
      0.546738182963891,
      0.522739948386587,
      0.598207942082184,
      0.523589604686274,
      0.857697617751683,
      0.637289104457539,
      0.773383208473786,
      0.747641706969634,
      0.820169152462859,
      0.622288008361858,
      0.881051841705301,
      0.84658651586934,
      0.651083519323131,
      0.553284724965469,
      0.65761569149336,
      0.71791100527943,
      0.652222556940464,
      0.487503638067921,
      0.55180260079356,
      0.624521251669251,
      0.614139818859214,
      0.6771813536158,
      0.638207237299929,
      0.763417156655708,
      0.543247736790657,
      0.825128987449067,
      0.666410535827172,
      0.544373755072803,
      0.565357362430498,
      0.458204764271321,
      0.683390148810194,
      0.836774318857094,
      0.724284184137883,
      0.771992756794975,
      0.592521294158674,
      0.48124198204659,
      0.581888692316193,
      0.673870633002439,
      0.875334753477534,
      0.687807171958462,
      0.614793892430631,
      0.629698777910012,
      0.622396895245984,
      0.622987586579474,
      0.72588826611617,
      0.710379719887412,
      0.773487091164675,
      0.613204494949379,
      0.607198036153583,
      0.722784368248955,
      0.725256153650677,
      0.746264036132659,
      0.735448150265086,
      0.672055132479606,
      0.710429583596345,
      0.811099538497134,
      0.415288431601651,
      0.740059106900857,
      0.855251803280487,
      0.725603020499086,
      0.73522279579592,
      0.606594801790137,
      0.721013230345081,
      0.638250607164972,
      0.746401998278225,
      0.723181072541471,
      0.773653214255827,
      0.749592075507135,
      0.669244747215761,
      0.605182137786878,
      0.651885462218885,
      0.512417462787094,
      0.644218277097426,
      0.596971640436343,
      0.620750526727933,
      0.634851048122996,
      0.543806616444964,
      0.612429943770927,
      0.67785079569582,
      0.55864453465835,
      0.645186498242063,
      0.545760232226595,
      0.462328342145472,
      0.631630213586614,
      0.654204060975818,
      0.684285809448049,
      0.697225142649855,
      0.675704294072104,
      0.562346799898975,
      0.600783564742395,
      0.49834808445313,
      0.724154978507167,
      0.655972829480232,
      0.695242886248449,
      0.675584090090333,
      0.581517535723897,
      0.678581717743945,
      0.661436777379691,
      0.650299282064036,
      0.709805589153629,
      0.790156132279299,
      0.676518029754886,
      0.679356835074424,
      0.652778528696471,
      0.824097026087583,
      0.766146920775456,
      0.602986346115488,
      0.645444118171521,
      0.484743720399959,
      0.640632325779618,
      0.706710789635144,
      0.696932106049991,
      0.648094349210784,
      0.610394155541952,
      0.654686508446656,
      0.600136800529069,
      0.548389409543682,
      0.627794574377211,
      0.678457477996651,
      0.664472967888284,
      0.613125289118077,
      0.680968592894668,
      0.690484436001951,
      0.679476839830049,
      0.634257669856675,
      0.505035058481311,
      0.575729670044714,
      0.698098686559325,
      0.536637830780827,
      0.753800994050391,
      0.566650932952086,
      0.406403269369247,
      0.532006651178777,
      0.55313995544714,
      0.51936598757018,
      0.748148572632474,
      0.532280718539846,
      0.595627437660753,
      0.714449914487967,
      0.680981143185502,
      0.656272621903481,
      0.666599151469294,
      0.532352157464695,
      0.571089539655906,
      0.545740954365231,
      0.719126951438194,
      0.675095692430502,
      0.449046979774298,
      0.637786504422471,
      0.441640751677557,
      0.693971363319991,
      0.415210884805587,
      0.482679452628675,
      0.510789879805064,
      0.690730320055997,
      0.348740479357788,
      0.582809340949485,
      0,
      0.238767535713793,
      0.641031067217641,
      0.390765904369936,
      0.558661704007005,
      0.741950704293186,
      0.293466973825062,
      0.674443775700569,
      0.645152260982374,
      0.501891926257313,
      0.770968145080342,
      0.478690990762453,
      0.299208947005264,
      0.119828911272132,
      0.254279796923944,
      0.407276169343922,
      0.818733551650207,
      0.722434462395739,
      0.562563615406542,
      0.422567716279924,
      0.585265573815217,
      0.400067810849572,
      0.60098518174169,
      0.574953398594303,
      0.676627292794575,
      0.361723196360404,
      0.765628695915865,
      0.776559464717652,
      0.438849267621369,
      0.398253451257856,
      0.580042095603038,
      0.494970901225269,
      0.765638179152647,
      0.527427527528971,
      0.66527543884293,
      0.663547626151504,
      0.494115923573451,
      0.503083111617568,
      0.432454941663316,
      0.207700762021928,
      0.104411929103278,
      0.29362887163655,
      0.351843759415953,
      0.691839666018523,
      0.761222844296441,
      0.387937285592634,
      0.488182624073617,
      0.569005853109161,
      0.417938758048331,
      0.348477281023329,
      0.359098016336617,
      0.421846647748136,
      0.778714560415374,
      0.419670057942555,
      0.567067654264565,
      0.506340051965033,
      0.50786795884225,
      0.584392432662548,
      0.479477280211705,
      0.645568421284163,
      0.641364431257447,
      0.605671337253528,
      0.633022009135453,
      0.706374964568448,
      0.717508548600502,
      0.714557171978065,
      0.647218467284827,
      0.66689551018885,
      0.674552233832875,
      0.470208519981453,
      0.713273005415234,
      0.72675686928129,
      0.636799894128918,
      0.61281555999054,
      0.629234847249193,
      0.618249968973844,
      0.529502964494132,
      0.756063256758106,
      0.773357934116343,
      0.481737447694887,
      0.687268485701126,
      0.574508062564402,
      0.718481889140418,
      0.70731596157633,
      0.423565465377042,
      0.713598581534713,
      0.673607625001085,
      0.812477113345588,
      0.830858552926167,
      0.789339540261923,
      0.679825456436546,
      0.47866688818933,
      0.602940398749177,
      0.575180520445223,
      0.660539791596183,
      0.64365673442191,
      0.665675782515683,
      0.719627934447305,
      0.591599283689263,
      0.715305615998953,
      0.690763292248609,
      0.532289304246617,
      0.418952501160361,
      0.625210818210074,
      0.526951230233245,
      0.714630807689209,
      0.718043741902899,
      0.585665472100914,
      0.798661633904599,
      0.756941451998575,
      0.731016088823482,
      0.757432087652759,
      0.76501961750267,
      0.667743163551423,
      0.570216185278571,
      0.677723085924392,
      0.613111432591379,
      0.653487396752961,
      0.667911597506312,
      0.679081931468659,
      0.647602810518816,
      0.515746626254008,
      0.743746414947268,
      0.706116025196643,
      0.687266720913777,
      0.738961939048287,
      0.697043812885538,
      0.607464625788719,
      0.586697480720638,
      0.645429735035152,
      0.58951295684095,
      0.629795576150781,
      0.689626226164988,
      0.651805572461913,
      0.694401521801384,
      0.697021680562885,
      0.674149197487042,
      0.719168336162798,
      0.695652174255205,
      0.628380754279945,
      0.645035585256386,
      0.66198403736352,
      0.615199510258322,
      0.616021018694168,
      0.718862748580454,
      0.629252136136272,
      0.540275673681918,
      0.702578967528114,
      0.655408410912003,
      0.73972771847401,
      0.648149914462503,
      0.795219720650887,
      0.647245192552473,
      0.659416565805721,
      0.665284735190449,
      0.598285644159871,
      0.59021869740189,
      0.727287929999964,
      0.582502845120127,
      0.632897178262268,
      0.767083213707498,
      0.73936109219322,
      0.734516823456719,
      0.676567999413189,
      0.820912799147083,
      0.680584342433886,
      0.721506957303986,
      0.718564181687291,
      0.6093010377741,
      0.624041423807398,
      0.61681808960865,
      0.540987676122598,
      0.573123869324836,
      0.611777827830083,
      0.613998743388012,
      0.688064680871253,
      0.649122717284658,
      0.503789407629197,
      0.655349833219061,
      0.524169856026438,
      0.456039472539225,
      0.457564192937393,
      0.526948419205098,
      0.495174337455078,
      0.554588274135916,
      0.63944188079838,
      0.63160230012141,
      0.609839714915583,
      0.580683571569299,
      0.512533863034495,
      0.672711395844157,
      0.672244158302904,
      0.504014752111836,
      0.656644669818551,
      0.739309495266301,
      0.800498758668453,
      0.638674704852144,
      0.547188340721341,
      0.5622279547338,
      0.484995471190479,
      0.544742120505443,
      0.626957692536938,
      0.507544963045451,
      0.660336063628417,
      0.674912788995585,
      0.65562398630799,
      0.632219222941194,
      0.719596239438819,
      0.643074714774311,
      0.551965520062285,
      0.569368264709356,
      0.558784673499889,
      0.622493999980507,
      0.738780511072538,
      0.664793464408697,
      0.677875663007214,
      0.711768657110855,
      0.652334180582885,
      0.687107142499858,
      0.62184851716986,
      0.75321302217463,
      0.640741375146791,
      0.635155418448436,
      0.769075347323181,
      0.655632126026116,
      0.654658519473649,
      0.566726307414199,
      0.65134034727874,
      0.438204426535927,
      0.682548713881612,
      0.61642416588832,
      0.484616699702068,
      0.707100544203005,
      0.526789441804883,
      0.671424114046751,
      0.464168862193619,
      0.670255391962079,
      0.619112988417828,
      0.598021655152708,
      0.687946977335103,
      0.689324420046479,
      0.678659538797583,
      0.669558650130563,
      0.70668127950924,
      0.744554968808771,
      0.68995649758219,
      0.590700103148572,
      0.732727001568187,
      0.623977064069707,
      0.627759157250818,
      0.756315267706698,
      0.569706974595453,
      0.662155664839326,
      0.644036466349883,
      0.649384739838114,
      0.677508985571365,
      0.746484419584891,
      0.744490575485423,
      0.616869614852426,
      0.715385470495688,
      0.578237521114212,
      0.697387187788548,
      0.710787405667208,
      0.684039053900454,
      0.688547165495734,
      0.675026336585639,
      0.719528775977265,
      0.692557363411646,
      0.72659252045571,
      0.705981794208422,
      0.810404571614398,
      0.686929695940544,
      0.630896529229797,
      0.676280972235945,
      0.653939684101749,
      0.644052953825234,
      0.793414805776435,
      0.588187860625775,
      0.658752224998581,
      0.726777005332703,
      0.560693984409501,
      0.600273980432801,
      0.504497036688739,
      0.601043032000281,
      0.6460465940566,
      0.727706972172501,
      0.712748987596639,
      0.650079598846707,
      0.619574254642824,
      0.593356290311969,
      0.53030358654147,
      0.615512769484744,
      0.542778068945472,
      0.556940115111297,
      0.626100964255777,
      0.616182868398488,
      0.647354149174675,
      0.672416486369907,
      0.634410458285104,
      0.630925326249118,
      0.665235904834435,
      0.774461119775003,
      0.675242853233056,
      0.622793076759104,
      0.680944498318365,
      0.72344649225094,
      0.613588386426919,
      0.593002414661469,
      0.519518747716196,
      0.5998324084529,
      0.428370353918591,
      0.677851707902975,
      0.74347975087376,
      0.697693931786015,
      0.589026211766507,
      0.624350325198782,
      0.582859887073046,
      0.495072907365625,
      0.56072617698825,
      0.70232567143057,
      0.772835168642679,
      0.606886057000594,
      0.613331158840005,
      0.714157975851077,
      0.838340356851529,
      0.807322806480812,
      0.740315454418109,
      0.687838556430699,
      0.579764658344943,
      0.757892949900446,
      0.789021571114587,
      0.72687176846503,
      0.700476460053817,
      0.559247710272331,
      0.542134344479039,
      0.671559662191265,
      0.680858162169517,
      0.713423716827605,
      0.729903248431146,
      0.758995440678134,
      0.769373890727657,
      0.705949841931053,
      0.488969729351156,
      0.588853807468017,
      0.630317662667777,
      0.672671496508195,
      0.641333089217537,
      0.79064368108316,
      0.701273571252489,
      0.684098598032056,
      0.758577893790453,
      0.719831647310173,
      0.736753391383828,
      0.809272681202879,
      0.761472226636848,
      0.721492812194177,
      0.611803822692674,
      0.776351405066028,
      0.730492223386161,
      0.640803150113196,
      0.587497853320582,
      0.661863145388435,
      0.618711284099989,
      0.669078371508605,
      0.608984203314763,
      0.619652215965689,
      0.693336166212613,
      0.72061693164207,
      0.657641840413002,
      0.547065215834142,
      0.531845757645353,
      0.603275629899718,
      0.563862709066748,
      0.619272422118909,
      0.722004538906707,
      0.740377834458044,
      0.709154073386911,
      0.683632729924552,
      0.708842487498129,
      0.697119099143561,
      0.628310711493112,
      0.743971225808618,
      0.657491249441264,
      0.609186916276254,
      0.694247538147378,
      0.748724793556181,
      0.789260745433121,
      0.713641115234065,
      0.723303967073027,
      0.781203148553867,
      0.690698357471643,
      0.745907020784591,
      0.640638122301868,
      0.697282426062246,
      0.734579895007163,
      0.702219755112829,
      0.646537853438674,
      0.670930686676671,
      0.661056080672866,
      0.364600896190221,
      0.709769716785267,
      0.699077730343471,
      0.641964799604479,
      0.689478398859774,
      0.723832513263669,
      0.706119564401019,
      0.680635001243792,
      0.659176560012204,
      0.681667708483425,
      0.717303030669348,
      0.772201169905145,
      0.677486618470037,
      0.637072288931038,
      0.613459865921237,
      0.596310887534489,
      0.686319748887655,
      0.652462978440928,
      0.736041892997663,
      0.683731105080013,
      0.700186514158699,
      0.628026458013231,
      0.632239782681257,
      0.714187682493488,
      0.595914417881781,
      0.611872247886973,
      0.574585455506722,
      0.621492158494237,
      0.694136823607609,
      0.729096261476708,
      0.618106943706314,
      0.691540290076514,
      0.77629354265442,
      0.735514483814799,
      0.705777131970237,
      0.673959662843437,
      0.65973410934594,
      0.687320359937893,
      0.691271930460345,
      0.655276503111265,
      0.606406571434584,
      0.539049209402896,
      0.611568366997052,
      0.742509696731742,
      0.675184569362119,
      0.811201751015096,
      0.606124086902653,
      0.56722964645858,
      0.6745041689304,
      0.644950884786075,
      0.719589528819873,
      0.537563618974202,
      0.458049712272311,
      0.710640916981144,
      0.698777990626171,
      0.594253108076664,
      0.577403850288962,
      0.573974854656499,
      0.660298200529244,
      0.726686182423743,
      0.722775790585742,
      0.641312829616466,
      0.566870841114412,
      0.615736722709587,
      0.596324860079093,
      0.633840900288392,
      0.645966372901244,
      0.575744067172424,
      0.565577252141657,
      0.481996726594163,
      0.712314878395413,
      0.730115010931557,
      0.626839580505835,
      0.669734662931498,
      0.569291954918384,
      0.598348174366993,
      0.587830011669582,
      0.524816024794891,
      0.595674769234337,
      0.6628352532867,
      0.521065030656946,
      0.625663243913576,
      0.565470518882544,
      0.661872527342843,
      0.69061936401872,
      0.681312807998431,
      0.5723747281476,
      0.557416346787981,
      0.581405038832419,
      0.691499898193065,
      0.674727440610549,
      0.57300336595418,
      0.611395573437192,
      0.464333292405434,
      0.724045157576843,
      0.618082355444569,
      0.52118283880845,
      0.517920991464762,
      0.622457791883526,
      0.442991323619636,
      0.518668582034656,
      0,
      0.236243987738379,
      0.633119546073233,
      0.30178824439693,
      0.583783749349295,
      0.779153098934812,
      0.326790766559269,
      0.559502215562016,
      0.382064673842132,
      0.550141172713192,
      0.498709765713974,
      0.403837916600038,
      0.335127440817419,
      0.0793937200382287,
      0.273602653228671,
      0.367884341266842,
      0.730422638955267,
      0.669710098641299,
      0.250469009699978,
      0.418234659081917,
      0.400826737201076,
      0.476278584698029,
      0.446081145112987,
      0.527731034602918,
      0.695819105288015,
      0.318557972633032,
      0.82059506990366,
      0.750718524116683,
      0.418968414877736,
      0.471134733089957,
      0.424529899121148,
      0.515023143771684,
      0.721964922579188,
      0.289578933442907,
      0.588933518862962,
      0.380941449857246,
      0.451173517153721,
      0.387707176789237,
      0.299809983864711,
      0.215251174646686,
      0.0837374678419626,
      0.332305333528233,
      0.400441416386835,
      0.444711220833686,
      0.835123937827147,
      0.416309271816836,
      0.443543493231518,
      0.515023216459481,
      0.568228542722155,
      0.269889269602334,
      0.282501017326786,
      0.347269801016868,
      0.727261018638021,
      0.508563498133268,
      0.570220226698823,
      0.590251112571115,
      0.56869836313181,
      0.653962601044873,
      0.590562165354596,
      0.621907033242561,
      0.727619484057102,
      0.700334819018898,
      0.698786643415589,
      0.742790428227707,
      0.741507680464135,
      0.789563102677416,
      0.671673790406485,
      0.73690424625433,
      0.729989081534951,
      0.543791809223778,
      0.635196260389337,
      0.67344658379521,
      0.672326491367277,
      0.747354645880745,
      0.700733088980528,
      0.604836078376322,
      0.547936068312461,
      0.803777875913497,
      0.780957014456717,
      0.433079902015089,
      0.675911562697568,
      0.379436206279202,
      0.632001071895898,
      0.685206569537489,
      0.426547809671177,
      0.761546324874671,
      0.722590466091439,
      0.746692423618102,
      0.733070817748381,
      0.739803852431905,
      0.657205590305874,
      0.48666182168388,
      0.685744747320003,
      0.671218294461417,
      0.712157184071594,
      0.685486526984291,
      0.734552188969514,
      0.729848760962516,
      0.651852742027454,
      0.77298356212196,
      0.642391169282984,
      0.576090701080881,
      0.496891993868441,
      0.677610104671453,
      0.353843727186337,
      0.722778355662481,
      0.714840242702327,
      0.621203399377582,
      0.691096701320305,
      0.701206857236028,
      0.768060255804617,
      0.767372193886904,
      0.806141793471186,
      0.796160201690006,
      0.608202847714375,
      0.715315443039493,
      0.595041515997674,
      0.668324902368789,
      0.685477248845742,
      0.740543680175438,
      0.609496036381113,
      0.521619436007361,
      0.80840689112734,
      0.602516561243946,
      0.585551075483105,
      0.555302719040808,
      0.653384577426539,
      0.654803726840562,
      0.656886325888832,
      0.664187327592834,
      0.61831141992875,
      0.62340193336641,
      0.629706569064649,
      0.686483434192479,
      0.663661017751927,
      0.66783710072774,
      0.714311464732511,
      0.743076150171797,
      0.726028071810863,
      0.700488853531199,
      0.65085912116163,
      0.674166311880111,
      0.656212028466855,
      0.62290163235648,
      0.663540840280195,
      0.536942233272673,
      0.569846723346126,
      0.68228956420369,
      0.72400955562938,
      0.680060660129708,
      0.493628659750603,
      0.69670988147548,
      0.632234613971589,
      0.703221409425997,
      0.73730451215104,
      0.649293097441378,
      0.628327056070013,
      0.740805658602896,
      0.665398594146585,
      0.729516785599214,
      0.840119224392453,
      0.808051731203182,
      0.579225607421454,
      0.651409970286658,
      0.741542114344079,
      0.571669404598769,
      0.779679391126393,
      0.716884863049711,
      0.597514201141302,
      0.664982980955055,
      0.642926295669487,
      0.552353848889362,
      0.485946826222332,
      0.659457108778221,
      0.645639195045134,
      0.757469945675737,
      0.69457201284154,
      0.56408950651683,
      0.702050265892448,
      0.615016235125138,
      0.506472930189312,
      0.493672350735042,
      0.54893631678925,
      0.455578646660071,
      0.600704546993758,
      0.708078485085009,
      0.581795045398432,
      0.501470830044955,
      0.558707157324466,
      0.531467230261689,
      0.715519588713698,
      0.681149512271914,
      0.462259578663069,
      0.695568662991475,
      0.636694018631257,
      0.695457919543586,
      0.694255847858786,
      0.616256120623987,
      0.647443566332988,
      0.455599367126939,
      0.615888200085148,
      0.665483640719404,
      0.520005229274331,
      0.722539697322938,
      0.708013467522202,
      0.688796920798913,
      0.697894541378428,
      0.762722923100338,
      0.635342675743731,
      0.57586171831439,
      0.624208645555009,
      0.539189026796614,
      0.632189424508277,
      0.790210464379385,
      0.725103535097037,
      0.761531463529965,
      0.787152264839263,
      0.739494117724687,
      0.783821037128393,
      0.727116228938288,
      0.713316881429651,
      0.648490653256149,
      0.730681075649282,
      0.71182659158541,
      0.705855277353416,
      0.679384336816648,
      0.667343672901526,
      0.717295795718301,
      0.577216288482617,
      0.623763105730758,
      0.687756212463439,
      0.506981098396435,
      0.674836945589752,
      0.549158009509028,
      0.672206680277673,
      0.535728382274585,
      0.730537638251393,
      0.68395265009899,
      0.653097558617093,
      0.774458445488772,
      0.76404832503135,
      0.77851742211065,
      0.718990940538085,
      0.696325109238444,
      0.792535086621836,
      0.740991530895379,
      0.720548168482848,
      0.657746055869799,
      0.618981381440534,
      0.691505927487409,
      0.673992850977213,
      0.563866202915948,
      0.693687882039696,
      0.698027277002255,
      0.562985061950178,
      0.71688071826197,
      0.655190653094718,
      0.643342217308588,
      0.521352303862489,
      0.663396922211069,
      0.59047615549589,
      0.749934541255634,
      0.777313697173298,
      0.741699056620271,
      0.692259613888079,
      0.735965771895106,
      0.653524273673833,
      0.774724716796851,
      0.8175090147809,
      0.784789157586693,
      0.750427220260836,
      0.786837259759824,
      0.756602310338524,
      0.702756364649629,
      0.707201215980955,
      0.7525525775262,
      0.731343118898709,
      0.670614650748436,
      0.687173999962499,
      0.773517486395308,
      0.605935639318435,
      0.656614486385852,
      0.536363630419007,
      0.657020785277588,
      0.744170899756762,
      0.676563050229631,
      0.751593805527575,
      0.738877616681355,
      0.669551871606966,
      0.650172380635495,
      0.605701833317599,
      0.658039632894013,
      0.651431599947606,
      0.549673705410527,
      0.525214500307398,
      0.664035680919641,
      0.698429515851167,
      0.671509881379133,
      0.675231188642798,
      0.649014853539132,
      0.740820145515502,
      0.757648520190095,
      0.784172546635705,
      0.725712778289963,
      0.700194367955903,
      0.712882229478283,
      0.725414668669955,
      0.675056792560352,
      0.565605295389175,
      0.63387932839417,
      0.504581513051528,
      0.691050384926497,
      0.72176191508546,
      0.740506208504587,
      0.646481146790415,
      0.66070284994032,
      0.628147497524965,
      0.543591021302496,
      0.601673089689739,
      0.722000048514728,
      0.68384271586276,
      0.532449286896381,
      0.570070143030324,
      0.731547405964472,
      0.772654817192623,
      0.790295075639858,
      0.663254220162816,
      0.758060789930835,
      0.714209514986049,
      0.839326538346669,
      0.770500085384221,
      0.690977147262625,
      0.699308224059507,
      0.632919638886553,
      0.595673886365343,
      0.716730026789294,
      0.725810015511696,
      0.756169926904036,
      0.762107292936972,
      0.701458194553154,
      0.813397833758651,
      0.660676679745769,
      0.522100032419865,
      0.557862436420521,
      0.663449832092886,
      0.67809048765319,
      0.702139487907477,
      0.74811470775002,
      0.758101280538655,
      0.742120549083228,
      0.730481770210486,
      0.735118386560364,
      0.817513752691889,
      0.788477751666111,
      0.777354492897936,
      0.743528383442399,
      0.689630264048241,
      0.744605582269562,
      0.750452810405637,
      0.701518660489819,
      0.652193690096012,
      0.770669891025566,
      0.68888781374824,
      0.731743680698497,
      0.524952295131726,
      0.622614139446818,
      0.664898670861075,
      0.824190778760512,
      0.632396811985595,
      0.605550505646719,
      0.525544701713886,
      0.652528394524795,
      0.545947894621455,
      0.695250105576798,
      0.770765284945542,
      0.820177359239076,
      0.759527376955775,
      0.75536865726905,
      0.792007261297787,
      0.764732417301814,
      0.740229462235075,
      0.694982367851056,
      0.762283216185759,
      0.740747445765947,
      0.631995072604797,
      0.796024291603961,
      0.760469835444528,
      0.784333284225873,
      0.805934963687914,
      0.749092351134341,
      0.687676896464674,
      0.809999111531763,
      0.719296885406949,
      0.774665377422806,
      0.746123133565355,
      0.752697304157508,
      0.718577213193188,
      0.72271637065658,
      0.61684287266832,
      0.466586663861973,
      0.694030975181912,
      0.674868457930013,
      0.732171922477421,
      0.762258596791128,
      0.767935813325866,
      0.806614270665737,
      0.776962467394681,
      0.76346234901596,
      0.710963670122411,
      0.599472037402718,
      0.783594816216526,
      0.652254976865779,
      0.67594780384517,
      0.596229577091141,
      0.691504934728347,
      0.759181017183603,
      0.70382851378905,
      0.669074998960349,
      0.588691261243632,
      0.696105534012229,
      0.574492291009791,
      0.733103064366357,
      0.705480488867651,
      0.61433775994201,
      0.604989334808441,
      0.555726192471642,
      0.734350459863536,
      0.723705800215193,
      0.803941653014043,
      0.655142164005092,
      0.725504840621672,
      0.858961991615412,
      0.76253193422865,
      0.758558599249637,
      0.725585945624819,
      0.719136178936362,
      0.694443568909513,
      0.767911646910315,
      0.618717381122379,
      0.608877913826558,
      0.618388552196706,
      0.694925193657877,
      0.740843036880229,
      0.743200728073802,
      0.796004688314306,
      0.678749409934648,
      0.550129504801554,
      0.607632330385118,
      0.640270511688675,
      0.719816601479754,
      0.561879350781567,
      0.498581239816163,
      0.683676334071315,
      0.624636701301062,
      0.57136745374714,
      0.633556642274932,
      0.625658935553259,
      0.708059212454751,
      0.766791904779134,
      0.75733928011632,
      0.662350213492342,
      0.63661046236825,
      0.644255469880127,
      0.68666250951084,
      0.694338126343787,
      0.591411464746966,
      0.630922149416567,
      0.534944621385173,
      0.57572395648386,
      0.735201280164254,
      0.707220994249808,
      0.527111124086709,
      0.709702859133135,
      0.528751479552477,
      0.692815595229239,
      0.665197639570637,
      0.689097060124034,
      0.539949429870398,
      0.576374866758799,
      0.621561327194357,
      0.674047626568328,
      0.644747265232447,
      0.705209626479515,
      0.717239907749994,
      0.712747989412964,
      0.647072648970957,
      0.642635283215419,
      0.651870008934104,
      0.715502648057421,
      0.666292360427725,
      0.712514797901892,
      0.563260362912813,
      0.432555478118889,
      0.751017757299893,
      0.602203948929575,
      0.608346743223291,
      0.508544187517539,
      0.495792322766139,
      0.596460217026293,
      0.485887761851561,
      0,
      0.195837494390826,
      0.600981029095713,
      0.285299193802649,
      0.221570874720069,
      0.609691730394153,
      0.354002492264918,
      0.235002305026054,
      0.252250834861029,
      0.46803845523841,
      0.485015485456253,
      0.304005508319037,
      0.333589222138162,
      0.0260055797589315,
      0.213303775385758,
      0.377084748012713,
      0.400209810818138,
      0.43852026951406,
      0.245444655674913,
      0.259295669588479,
      0.324769129831142,
      0.390744734969084,
      0.418298744467322,
      0.460909847955715,
      0.54801207508167,
      0.306184488711876,
      0.666849633791783,
      0.426473662905321,
      0.415728373384648,
      0.387636270449092,
      0.213148792671899,
      0.502701806912279,
      0.405085692131514,
      0.210877923826721,
      0.272560428630667,
      0.149246560299108,
      0.339934551775682,
      0.321839517681522,
      0.204586867834641,
      0.171969711900548,
      0.0868653824165148,
      0.323817120452579,
      0.361935807834358,
      0.371230826215803,
      0.691856120104728,
      0.216879596164112,
      0.440803599029267,
      0.469341452538198,
      0.664887523264677,
      0.287554909547218,
      0.289961321493049,
      0.618403142680106,
      0.676365438819336,
      0.425621713344589,
      0.481410516771535,
      0.428839580962384,
      0.526627714525695,
      0.484934522237096,
      0.469743074311618,
      0.477266335246658,
      0.576858460214572,
      0.611057776239526,
      0.522716221290528,
      0.627922903858341,
      0.638229275702135,
      0.680559486905361,
      0.477333913608724,
      0.721305456221269,
      0.502590896888835,
      0.714525917462051,
      0.558766285413402,
      0.439924015514938,
      0.519716498295617,
      0.666061878908779,
      0.735458639711403,
      0.534939486584245,
      0.447269515906672,
      0.547051122395298,
      0.497668534191219,
      0.426510712226986,
      0.664664558569389,
      0.351060016956796,
      0.483250527075518,
      0.525676254300026,
      0.62112191275386,
      0.72700077272374,
      0.723764427430829,
      0.822713977922281,
      0.619715930123938,
      0.569350126848865,
      0.699974456509032,
      0.683349539275312,
      0.627050179746793,
      0.57727023740825,
      0.560839920364058,
      0.470030764297416,
      0.552152930001695,
      0.505580815432123,
      0.615733963441634,
      0.539087658382265,
      0.602003613242145,
      0.405471802584122,
      0.566868003364163,
      0.603305220734435,
      0.308342475773282,
      0.561323087243719,
      0.587972118534562,
      0.61965614187846,
      0.616083999689535,
      0.756882181285914,
      0.693961007174715,
      0.543829193742772,
      0.602300385067382,
      0.784173861233766,
      0.737777859126956,
      0.743455925367045,
      0.712421954691552,
      0.687101731516123,
      0.608481893287023,
      0.536611498763309,
      0.684473466302755,
      0.55169097669519,
      0.645102862870216,
      0.578333514040101,
      0.55805357054368,
      0.471268408819575,
      0.552718717699253,
      0.464466518160548,
      0.53159160971311,
      0.465174592342379,
      0.488906880483584,
      0.594348324133319,
      0.53363960325426,
      0.630426184174226,
      0.515505489051242,
      0.523546051467656,
      0.645394683182441,
      0.600941972372584,
      0.765099533002789,
      0.596651674880597,
      0.555098769104167,
      0.594158488718203,
      0.532948689211937,
      0.746835794297538,
      0.700421066711711,
      0.53334500646571,
      0.484096567113271,
      0.569732285639253,
      0.570974582420867,
      0.517522555417442,
      0.430734802057536,
      0.538855964262308,
      0.60230585862371,
      0.544842205941004,
      0.583848178699336,
      0.517864547439637,
      0.568173838429343,
      0.640538041240653,
      0.563968219005744,
      0.711915551752215,
      0.700071505396462,
      0.63913746797299,
      0.522599918315543,
      0.690621015357483,
      0.569436238210252,
      0.522896575465431,
      0.559261671633592,
      0.619837617076563,
      0.5525468574926,
      0.412556063030892,
      0.725159879924638,
      0.477256542725604,
      0.507984731873654,
      0.516019278500691,
      0.577461946586573,
      0.579793915362881,
      0.519492102254027,
      0.464390628350631,
      0.477994429726318,
      0.545332025482878,
      0.425605741672063,
      0.400241240789063,
      0.391440455714471,
      0.491018047029021,
      0.580339422984199,
      0.55813035702735,
      0.509175723390278,
      0.585414499659642,
      0.544871471866272,
      0.43259179658591,
      0.528303941119936,
      0.638182348506612,
      0.610407633160243,
      0.529992847286517,
      0.54334138794679,
      0.571049393452765,
      0.526772945007382,
      0.47699023332564,
      0.718018506317413,
      0.521503190205322,
      0.447088502491437,
      0.531037422870269,
      0.392477035263555,
      0.624572007011277,
      0.574558977423831,
      0.494760015404908,
      0.709773621313408,
      0.580321200339645,
      0.525691523666142,
      0.399103529320203,
      0.447822526036617,
      0.465124055066561,
      0.543904376698917,
      0.599752489696764,
      0.599684293548032,
      0.612738206419634,
      0.66408230008835,
      0.625660315043208,
      0.673056561491509,
      0.651429287397554,
      0.750575514249085,
      0.698723295900491,
      0.653363022282952,
      0.536851833845042,
      0.658468057448657,
      0.619218582971512,
      0.557809366099396,
      0.609622693851143,
      0.567222815612969,
      0.574098158912301,
      0.547194229171448,
      0.512876269278314,
      0.472930347824851,
      0.571353860865811,
      0.657122670723802,
      0.387259647814862,
      0.599794836258606,
      0.512147915896997,
      0.585429496515792,
      0.644816362647472,
      0.588593386706012,
      0.772939395995078,
      0.760217224541184,
      0.65244531163804,
      0.665943946679923,
      0.627655261071844,
      0.753092594362747,
      0.740567557347308,
      0.714753494202819,
      0.724460182785318,
      0.509057785126572,
      0.528125520831727,
      0.647893826508956,
      0.495182269676025,
      0.607121906819739,
      0.637701533985956,
      0.589640432752346,
      0.519379926685945,
      0.629541158113573,
      0.600040275747379,
      0.472704153565676,
      0.516456232245864,
      0.59761588061645,
      0.530166924694908,
      0.677301126303595,
      0.609189057873188,
      0.440805842816355,
      0.664775531515391,
      0.664565984931104,
      0.68503636809805,
      0.770881894130671,
      0.706716094247595,
      0.709726736318528,
      0.712887478012393,
      0.693065027004011,
      0.656218070389178,
      0.784008425943899,
      0.712897430101756,
      0.565448936228331,
      0.750176170298681,
      0.529237005818444,
      0.698500060402159,
      0.528154598438692,
      0.657240835020086,
      0.616996469209689,
      0.568629143871,
      0.613653821644387,
      0.736141256043188,
      0.710594234146585,
      0.542261864171749,
      0.708626301271358,
      0.706801979623092,
      0.67899315685284,
      0.780144836274973,
      0.508626399425375,
      0.529614645451889,
      0.489566578094357,
      0.499995459721461,
      0.706309987640508,
      0.550379705415032,
      0.77987712992546,
      0.55382634137916,
      0.707325812332297,
      0.687524675173853,
      0.68396596858292,
      0.731762081085364,
      0.690284015600497,
      0.508600409605793,
      0.666021639431203,
      0.533618573959329,
      0.368984354887711,
      0.686970162685529,
      0.491263088977159,
      0.668082083875348,
      0.626217620211239,
      0.500608769120643,
      0.377595917952877,
      0.592447885575877,
      0.640097462141811,
      0.662534045852516,
      0.646685402315873,
      0.631240429318371,
      0.673268495976308,
      0.624349476446216,
      0.792831435103604,
      0.716006395110081,
      0.646367481024088,
      0.651827838086789,
      0.682424707826963,
      0.726155407408295,
      0.765447757455228,
      0.801081916793961,
      0.787370254319672,
      0.553441401077599,
      0.511653457192743,
      0.612455467364196,
      0.69505805062109,
      0.754379441983485,
      0.677099023887174,
      0.579244873613984,
      0.628152169261568,
      0.603766665491011,
      0.350636542093273,
      0.549602721567037,
      0.472854913905684,
      0.582197636540159,
      0.619939376355538,
      0.623134539012991,
      0.708592540490051,
      0.603444982186924,
      0.613609815501811,
      0.622338092797492,
      0.70544353667369,
      0.676232500004217,
      0.746093796096148,
      0.734154332846134,
      0.711580792481991,
      0.600261612010655,
      0.695802304362229,
      0.621644953891499,
      0.482875353656865,
      0.732452723993738,
      0.536561601568254,
      0.611299124704344,
      0.609685043110061,
      0.631695640888709,
      0.514566957247888,
      0.690704780992737,
      0.551281138490542,
      0.440701167209358,
      0.633411301648324,
      0.625222630717097,
      0.701002090971733,
      0.628188212518647,
      0.594761307946235,
      0.669296794878169,
      0.563725947950079,
      0.559553513453065,
      0.61676455039532,
      0.603896281351079,
      0.660813471718949,
      0.80471411369526,
      0.765870855997685,
      0.690803037815866,
      0.624634936897921,
      0.589898120343019,
      0.494957940072789,
      0.636502185351265,
      0.678366721694209,
      0.630878180231086,
      0.621631401756829,
      0.656148074161275,
      0.660551341698651,
      0.630654296935833,
      0.773459393279987,
      0.747158878943094,
      0.680105029716615,
      0.685719511134087,
      0.537765370758419,
      0.466351428237675,
      0.681646156835538,
      0.512870306533483,
      0.670420977894748,
      0.582189048698458,
      0.58979401403712,
      0.717923756829868,
      0.67314974968565,
      0.699467958514262,
      0.769136534525456,
      0.777734966681698,
      0.721728419745945,
      0.595978434538413,
      0.642451863176292,
      0.609801997250715,
      0.567063202496043,
      0.738677496343668,
      0.61973285715433,
      0.577942684526592,
      0.621089564606477,
      0.590904569058037,
      0.545012980480235,
      0.720686092116013,
      0.528033380877483,
      0.556161051784492,
      0.619837193904981,
      0.613917922640817,
      0.724064354540602,
      0.495373777481204,
      0.678311935382408,
      0.502943559739948,
      0.625897241626496,
      0.737162074192775,
      0.548203616544246,
      0.689994656438847,
      0.744640627279529,
      0.767313099454084,
      0.735290311698382,
      0.732031287240887,
      0.673614116367893,
      0.555773078430941,
      0.698020006046707,
      0.674074101346298,
      0.626958792526463,
      0.630057723662127,
      0.550020983509295,
      0.821559146803803,
      0.583111456693183,
      0.574313830622925,
      0.556248957024151,
      0.554178196416834,
      0.567878379866092,
      0.508679945148716,
      0.547289120884054,
      0.577172345754918,
      0.599553544896238,
      0.585602541645016,
      0.53772652834661,
      0.535293362502833,
      0.584133721479562,
      0.536122429342705,
      0.523743687326038,
      0.671396953815717,
      0.670328727599549,
      0.581951640871883,
      0.71607428141573,
      0.583102934924585,
      0.795371097137983,
      0.522430743786972,
      0.471182646672101,
      0.638351798467256,
      0.658678438986502,
      0.452870503875922,
      0.682010261126642,
      0.458920948007454,
      0.660042129104762,
      0.726704163215389,
      0.724654694205388,
      0.594641102886261,
      0.579568009128092,
      0.637533046189936,
      0.622376375450367,
      0.594100840662076,
      0.45725460032979,
      0.684170950295029,
      0.604332378681575,
      0.563318037453631,
      0.580109909143378,
      0.608067332166254,
      0.743176339283725,
      0.696170167888608,
      0.6398682761073,
      0.564153727002773,
      0.612031361491137,
      0.689840154302874,
      0.448266619207249,
      0.590518223774861,
      0.477431573201676,
      0.383418790476927,
      0.596430203780823,
      0.563076752794491,
      0,
      0.201510663269285,
      0.48242903312673,
      0.282565010459744,
      0.178493861280007,
      0.434227844470806,
      0.338805702726417,
      0.263881356978242,
      0.139593290041489,
      0.396256995480611,
      0.466071179613966,
      0.25577408696281,
      0.576614118820683,
      0.0285831496823734,
      0.193451271434803,
      0.41388424152855,
      0.219625405608393,
      0.336188242291015,
      0.260043057531004,
      0.257555212246067,
      0.271596767286205,
      0.20738758833387,
      0.38516399180774,
      0.400488491219199,
      0.311364840907159,
      0.335206863595581,
      0.540492514188512,
      0.278872526760158,
      0.370557342804525,
      0.298665123210378,
      0.279117256041268,
      0.467553507932037,
      0.292573590915659,
      0.157907329208782,
      0.275470947873306,
      0.156208673965309,
      0.282464930331728,
      0.436417815231824,
      0.155417549858945,
      0.422905999347799,
      0.112411233358326,
      0.492233855362293,
      0.356385536593931,
      0.198540445558254,
      0.500925822883038,
      0.186812404953325,
      0.577712858275489,
      0.543495659364167,
      0.570470180197525,
      0.285358452734283,
      0.329862166275786,
      0.68492624903501,
      0.699902669903665,
      0.468971978948992,
      0.470523650181187,
      0.422790407225839,
      0.553676943464329,
      0.447653519237783,
      0.466657727108456,
      0.484480774167562,
      0.491021717629603,
      0.555203237902416,
      0.554575669321725,
      0.619571826374033,
      0.539387104444892,
      0.617156232200081,
      0.663879390863331,
      0.705581367772,
      0.644677799455851,
      0.698684077501048,
      0.626045147064091,
      0.40631545756866,
      0.498878386182145,
      0.47705177603649,
      0.653874397773914,
      0.490388377687684,
      0.455808699630582,
      0.441198495861772,
      0.490894906561974,
      0.372429310848787,
      0.619292080480357,
      0.315002334797662,
      0.465241768994803,
      0.387016255979973,
      0.589998685710127,
      0.629983750099629,
      0.752301864766503,
      0.764158114078693,
      0.654167836154836,
      0.522803877592419,
      0.687154740667427,
      0.720245525839239,
      0.734116512972955,
      0.63443189078665,
      0.633630006056212,
      0.622155470323828,
      0.5389939360757,
      0.533991327425143,
      0.606583739146729,
      0.412288760162377,
      0.657362531121687,
      0.308463186888716,
      0.513228976485196,
      0.57716844401799,
      0.306418406768673,
      0.469627414876283,
      0.587286889944675,
      0.6410912415789,
      0.634620617276199,
      0.743092833321389,
      0.702744892120009,
      0.555199486118166,
      0.574289927236636,
      0.69851695589353,
      0.712578402929752,
      0.757602407592172,
      0.721275802668887,
      0.740878643363744,
      0.616517900065841,
      0.469598190675818,
      0.685761863490309,
      0.571566868667906,
      0.438873831208992,
      0.523096695440119,
      0.561545702383624,
      0.513904779557929,
      0.447652159671767,
      0.538615331874918,
      0.533618693033771,
      0.670473438235471,
      0.471981009242942,
      0.579869046385055,
      0.61992546917401,
      0.687676496015586,
      0.49750451945669,
      0.426657347592471,
      0.622505823844177,
      0.548637616181945,
      0.714964395083826,
      0.543782313988627,
      0.498761674837859,
      0.599849876845984,
      0.697780225594191,
      0.721585122448296,
      0.665681870034101,
      0.419784387148728,
      0.520803458149345,
      0.558559794130034,
      0.452416931097591,
      0.485494780771455,
      0.592257161017105,
      0.509129087016462,
      0.548775262445176,
      0.432667484390007,
      0.493415811607322,
      0.528670083967167,
      0.612139477024025,
      0.671393540607161,
      0.55698117255535,
      0.488789222367413,
      0.499762283950701,
      0.536071700591118,
      0.568205289236862,
      0.787567805590256,
      0.533229294659218,
      0.496037894073269,
      0.489724478116486,
      0.620467908798818,
      0.548652891206125,
      0.517310320010502,
      0.703996138583038,
      0.54189028537206,
      0.472530770068499,
      0.542605494097935,
      0.580026236519792,
      0.520014360882331,
      0.518956354864936,
      0.477199898917587,
      0.535582723382677,
      0.519102452459911,
      0.41277704962987,
      0.391166348314677,
      0.554630885654742,
      0.388516390788128,
      0.589548212111985,
      0.469612804396045,
      0.377391553564353,
      0.547177067233386,
      0.581064525737688,
      0.414641875670261,
      0.473242168876397,
      0.628436645244342,
      0.586056640355318,
      0.588272243537838,
      0.549981314519697,
      0.622697558089702,
      0.601445353552884,
      0.4266931785466,
      0.690593371528947,
      0.504138291124047,
      0.471084035392517,
      0.641913848229127,
      0.489235191769721,
      0.587726846968633,
      0.547406368220628,
      0.515819878934699,
      0.638634552510012,
      0.509913408877948,
      0.4595847040415,
      0.409693408854774,
      0.437513859792691,
      0.565956280369115,
      0.597018439426786,
      0.551143854669138,
      0.602874370246982,
      0.598241506828213,
      0.674551397139798,
      0.583976669779803,
      0.654632822179568,
      0.635725369555123,
      0.724222926657859,
      0.73707921540612,
      0.647982889549108,
      0.569533403859401,
      0.637232822357267,
      0.746545190273038,
      0.467374570279384,
      0.585584510053291,
      0.5974582391297,
      0.624995212285592,
      0.537749165845429,
      0.597889053114602,
      0.55026220705909,
      0.51069510117668,
      0.627102607624814,
      0.378416405539428,
      0.550162248483025,
      0.495690503805707,
      0.5858875944684,
      0.749893090742209,
      0.404133710646325,
      0.707456439638547,
      0.708174126940824,
      0.648528323636376,
      0.669482404892701,
      0.666987858036297,
      0.628010433508575,
      0.739733490917208,
      0.728118590210663,
      0.654383771128771,
      0.698855011934816,
      0.481359069324993,
      0.450375456729909,
      0.574952083130445,
      0.702103398385812,
      0.643574249432881,
      0.506730807922217,
      0.654400462837241,
      0.60067126071743,
      0.560762932321279,
      0.461250568547032,
      0.59118793585398,
      0.50565044612727,
      0.441892928098266,
      0.694920825605737,
      0.658883305239616,
      0.606133607292407,
      0.593065796557841,
      0.591560236001872,
      0.593461368449784,
      0.713083753501155,
      0.61335188204972,
      0.612022397968079,
      0.747711158726777,
      0.693707545346818,
      0.697076807745917,
      0.789727300603941,
      0.664946201641604,
      0.600515517925875,
      0.714154718160996,
      0.658374426149574,
      0.748958112597785,
      0.655756060982486,
      0.735061914333005,
      0.532903835858167,
      0.515692041531925,
      0.566364734063297,
      0.627246815513785,
      0.678855337380873,
      0.460676571338587,
      0.661943969769756,
      0.677362792355779,
      0.674051146316782,
      0.77597213331427,
      0.678429311276313,
      0.550436960867105,
      0.380450506863647,
      0.493440699688658,
      0.733102653264387,
      0.603919746393429,
      0.769549641593387,
      0.598994879349438,
      0.692817438867999,
      0.56005436909506,
      0.611194905402107,
      0.675978134309602,
      0.617921651430964,
      0.632647948838011,
      0.718838748808125,
      0.622962065706518,
      0.633346659072775,
      0.728446321176742,
      0.481606680977126,
      0.576573527981305,
      0.657011855896444,
      0.431792916789501,
      0.476749463516246,
      0.741250954590273,
      0.641268546756212,
      0.628276699068229,
      0.610743399466846,
      0.613224775291015,
      0.6710362346147,
      0.590970516577208,
      0.77817316918584,
      0.595649741751518,
      0.600203533506327,
      0.647084218900615,
      0.616772819437854,
      0.700803006516228,
      0.751110219639708,
      0.790861660162223,
      0.784174242412489,
      0.649519982467351,
      0.623817685484076,
      0.644254816941129,
      0.72869574322448,
      0.63184670189663,
      0.629752855737188,
      0.488417806784433,
      0.513099372390607,
      0.510355940854227,
      0.468382008723764,
      0.616413489909034,
      0.575902731253458,
      0.660798801064309,
      0.676486041913083,
      0.653872538781248,
      0.680424353082447,
      0.595338146430897,
      0.613697545561735,
      0.597239145950291,
      0.675267041443666,
      0.631119825131822,
      0.693360223593269,
      0.707244163140135,
      0.690558187761533,
      0.682110888714204,
      0.721093745393502,
      0.612096265656993,
      0.510341993075698,
      0.596396036925565,
      0.538000044900473,
      0.629630857437895,
      0.586016577266658,
      0.646803742779038,
      0.463812992459154,
      0.435163820201103,
      0.603448435990884,
      0.606675890563926,
      0.612356205627308,
      0.617078257032559,
      0.683696321835058,
      0.734174394647207,
      0.61024323407061,
      0.538033599778468,
      0.464028816502038,
      0.626338414046803,
      0.623612230830873,
      0.612926412891278,
      0.650649047562102,
      0.748383169191606,
      0.727530421569451,
      0.694071666160365,
      0.773027067494848,
      0.585623117579802,
      0.41256138010912,
      0.566678418468921,
      0.608987901104176,
      0.578941464168869,
      0.72217248813555,
      0.76692946569845,
      0.634849974397466,
      0.640578378200271,
      0.748307459210352,
      0.699108366082828,
      0.697965380557362,
      0.700409518523902,
      0.651504519573887,
      0.576909134596675,
      0.726325851509165,
      0.568469576427413,
      0.55460055181123,
      0.584894129138676,
      0.665998507800397,
      0.649706551542367,
      0.638192550256234,
      0.655269724809251,
      0.691671050042096,
      0.75747879621265,
      0.669212145615747,
      0.701151582185705,
      0.607170450749434,
      0.599668040795954,
      0.628324984807454,
      0.726740722101563,
      0.727998339884673,
      0.52078683498856,
      0.615615234534559,
      0.571480853904816,
      0.581932101763181,
      0.755295742311993,
      0.545941704593484,
      0.703723861875553,
      0.588761195026838,
      0.739101980855216,
      0.751265935690425,
      0.655454468303459,
      0.717172321897511,
      0.599976868053878,
      0.696151117653932,
      0.656362936428435,
      0.61967599753945,
      0.679045502796898,
      0.720579245239073,
      0.781262062725372,
      0.76722012145763,
      0.609428289202481,
      0.750683913898135,
      0.695742991047838,
      0.665173553012115,
      0.558267051153784,
      0.617299734148098,
      0.646535488753232,
      0.480605643911256,
      0.756387186339461,
      0.568853264469485,
      0.529822046203869,
      0.560684054016688,
      0.490171486030958,
      0.520063598291895,
      0.548902103639967,
      0.587973240829777,
      0.63730797634467,
      0.641854095862272,
      0.584149465429754,
      0.624357391376389,
      0.612405913783201,
      0.650394115938049,
      0.59253593725109,
      0.635511356981898,
      0.617199625155225,
      0.684758418919212,
      0.731543110853211,
      0.756130616101203,
      0.649955511316898,
      0.862189586306968,
      0.589387858150323,
      0.668254121814115,
      0.637537434276774,
      0.612353136497123,
      0.505114058475078,
      0.639684085864758,
      0.631569672371959,
      0.706865314861318,
      0.691665783135318,
      0.603236516543268,
      0.638063550628698,
      0.697309453406042,
      0.659559757464958,
      0.602337938890587,
      0.613158438501996,
      0.367396842862722,
      0.721736482794592,
      0.757348820761475,
      0.644927848533017,
      0.71093942934457,
      0.661178922568249,
      0.731414722708946,
      0.635403423617926,
      0.689390774920589,
      0.737044356980403,
      0.684950450476147,
      0.675606528966406,
      0.616210222102161,
      0.539428914811202,
      0.418500508242712,
      0.551559141375195,
      0.417456027391597,
      0.505928096220209,
      0,
      0.304973167521473,
      0.383793852414274,
      0.291658418553251,
      0.17432888682425,
      0.417477850196759,
      0.256918507764405,
      0.288276414780705,
      0.186362419784905,
      0.30254998730528,
      0.458650866293068,
      0.315030083258617,
      0.652800022264394,
      0.142803213293674,
      0.199384668972493,
      0.415177121210583,
      0.18858131245105,
      0.537511404086603,
      0.288476531902725,
      0.184106328404772,
      0.239821223692593,
      0.353236498805731,
      0.361613231872092,
      0.341146897992243,
      0.448530455549999,
      0.402395252161678,
      0.534040667190225,
      0.295032243976367,
      0.371901084079353,
      0.258540963358651,
      0.263022895716811,
      0.419957984540087,
      0.280612896521431,
      0.242099794019863,
      0.259758882650859,
      0.17009722473402,
      0.238577647861489,
      0.46967748154406,
      0.209504882179052,
      0.586889119799782,
      0.10649135796541,
      0.589235569496462,
      0.348645699232858,
      0.230891995304046,
      0.545296533240909,
      0.268795390287476,
      0.654258050227776,
      0.5261486805807,
      0.484340445786526,
      0.418209286778732,
      0.381840831119016,
      0.56045060562045,
      0.707587214195982,
      0.602165874671719,
      0.574956117387728,
      0.590039312120392,
      0.550745852111891,
      0.518607228935229,
      0.497502695019085,
      0.568367744281532,
      0.579390192731838,
      0.625711445144875,
      0.668872225295194,
      0.658425876145285,
      0.596876827565225,
      0.592577266621573,
      0.742835420762731,
      0.62972700843615,
      0.726466839010928,
      0.5712297063589,
      0.602776605140269,
      0.520325474839163,
      0.542226736683874,
      0.53254358798846,
      0.548000895013845,
      0.520101774065324,
      0.544541051332282,
      0.499031793515712,
      0.529772165239927,
      0.355228173950024,
      0.587713116920188,
      0.308218391686663,
      0.400100125189217,
      0.484370394397389,
      0.354090553777043,
      0.593698018762082,
      0.570012890170712,
      0.710717898438026,
      0.775295433624802,
      0.614408380819323,
      0.589366061787938,
      0.528423755063801,
      0.6506162035578,
      0.619448779400435,
      0.713716652816309,
      0.641058670369594,
      0.624700556715622,
      0.548590548485118,
      0.619899651873131,
      0.387206394252852,
      0.644655076674562,
      0.346409979017254,
      0.53572024740754,
      0.548378241024223,
      0.304556012270356,
      0.558062731225529,
      0.539067842558493,
      0.517002831996887,
      0.476695043218587,
      0.710127267373373,
      0.741915534815991,
      0.698522819440185,
      0.522641714567208,
      0.599293839493162,
      0.507410167282328,
      0.687808008776023,
      0.559210564251621,
      0.692343324635324,
      0.626354301980789,
      0.57021295640774,
      0.709005213836027,
      0.561451344747364,
      0.502568594782477,
      0.568154426370873,
      0.530260880465993,
      0.498182139495228,
      0.528672378058418,
      0.651451348811975,
      0.57114266110218,
      0.782982388501883,
      0.559511856907204,
      0.679107587285836,
      0.492287510503569,
      0.521645176895708,
      0.453456324479913,
      0.408548675403072,
      0.628083064901208,
      0.584376492306803,
      0.561586174582386,
      0.530390425431878,
      0.381315583376006,
      0.66326956796429,
      0.739721105243507,
      0.620380940415199,
      0.602214234409784,
      0.478413675901877,
      0.607482686405197,
      0.598988342938172,
      0.468797093818122,
      0.581851910277382,
      0.728280483413834,
      0.461078122791614,
      0.568360311740274,
      0.496383227881233,
      0.574662527427557,
      0.506025415140262,
      0.675217060482491,
      0.727512582985011,
      0.66263281680555,
      0.565482250399142,
      0.556235290781255,
      0.477097851193716,
      0.566068079102694,
      0.809685564779095,
      0.62238273966579,
      0.541604024966235,
      0.60732004954295,
      0.624807264242432,
      0.605894303274491,
      0.587459540109671,
      0.691472698615088,
      0.563929676936046,
      0.508340776089033,
      0.615466837992994,
      0.629936753817574,
      0.639149188169597,
      0.590608930036101,
      0.573150364013552,
      0.675939565793651,
      0.614097185979756,
      0.518386860637016,
      0.405007334060476,
      0.667626974073815,
      0.419003955288438,
      0.70158227184905,
      0.434013975308088,
      0.535277530983382,
      0.467395253456902,
      0.556295579571678,
      0.430678798339896,
      0.505757287392279,
      0.738138191612323,
      0.730070084545444,
      0.547669557483915,
      0.679095804665559,
      0.74369700218378,
      0.66586772113938,
      0.545575582951399,
      0.724623384361341,
      0.492049713024507,
      0.70550341984948,
      0.678406309941024,
      0.609677096990868,
      0.644776990428041,
      0.566845670403475,
      0.64541100884535,
      0.572039521114835,
      0.482177650405967,
      0.430783308056564,
      0.4040859103396,
      0.569800374122326,
      0.711509357616755,
      0.679143878052909,
      0.689065771144293,
      0.610658599022071,
      0.740566479844082,
      0.78451026088442,
      0.733736094075635,
      0.788481352605136,
      0.767420824442907,
      0.631010724822446,
      0.545274711902458,
      0.762193882057332,
      0.588001952172787,
      0.604047887265828,
      0.655334282191955,
      0.494256316505792,
      0.64494810082298,
      0.691460797687959,
      0.686972862392754,
      0.646483306424182,
      0.710311425788175,
      0.614029783457978,
      0.536354235066919,
      0.593507017673266,
      0.527178857424246,
      0.53517563287895,
      0.457068885642076,
      0.647588587881603,
      0.77143719941762,
      0.538050805760028,
      0.584311568205232,
      0.60243344073763,
      0.782905190759317,
      0.760200653949173,
      0.79501945819029,
      0.713762737533476,
      0.741945010074303,
      0.665317907424197,
      0.765311334809982,
      0.727742761386303,
      0.501810745909294,
      0.684973093367584,
      0.694095236215494,
      0.715487718905295,
      0.716034973393908,
      0.50392662822486,
      0.679699828216154,
      0.516780451868443,
      0.653678012189817,
      0.563861260443323,
      0.703503081460867,
      0.56107640251602,
      0.507065394111889,
      0.695445133511978,
      0.652678963090069,
      0.751477840828412,
      0.617437903310169,
      0.720081534058851,
      0.719855240152179,
      0.713001025803614,
      0.78745563035821,
      0.782853098993613,
      0.635889725450365,
      0.6337508569434,
      0.783719732230765,
      0.735543965142708,
      0.642867679950759,
      0.545817755810332,
      0.688709839124685,
      0.715564807956687,
      0.551585807961208,
      0.750260953378593,
      0.567176949264334,
      0.566081471727649,
      0.552707635950143,
      0.455508633430995,
      0.494534186499904,
      0.452673950738364,
      0.474944679463298,
      0.545975099689903,
      0.695555480082069,
      0.722541717030224,
      0.680571455353077,
      0.722648883696162,
      0.58698514574069,
      0.407359276791794,
      0.583622011227844,
      0.667881440407453,
      0.611746933639491,
      0.687706872415862,
      0.725801073739813,
      0.549301732611648,
      0.686002276827386,
      0.584589042188326,
      0.704112180623755,
      0.624338561690645,
      0.716475681136461,
      0.645805682063126,
      0.72635538395139,
      0.694627959687731,
      0.71726046302177,
      0.504295821805675,
      0.58907900964847,
      0.588496515344284,
      0.509866150231548,
      0.528200985362848,
      0.70500353143396,
      0.673020105099361,
      0.602974364039082,
      0.518914956631755,
      0.553941304189936,
      0.604853188177523,
      0.679931068626346,
      0.636655432753842,
      0.706383422750429,
      0.569039568718869,
      0.757875815913957,
      0.559850191537357,
      0.531891622386455,
      0.517071581892647,
      0.720633548797281,
      0.767033303056487,
      0.753611610445721,
      0.703105393427965,
      0.643879947055058,
      0.742667993478794,
      0.613343205369504,
      0.631092058487577,
      0.454048593616084,
      0.472846465454105,
      0.561598346628318,
      0.666637406469124,
      0.741238120000901,
      0.677379003580876,
      0.716037096941967,
      0.754026215495865,
      0.736116211454126,
      0.727806088885761,
      0.739065525300549,
      0.760971154808315,
      0.718359450708022,
      0.768708839478057,
      0.686825843414489,
      0.660091039901545,
      0.588887559960707,
      0.731609044105155,
      0.782359059108599,
      0.68925792233086,
      0.665570327387076,
      0.629013938685012,
      0.619055497538572,
      0.556609491561291,
      0.724359741381285,
      0.569074549501017,
      0.472899055365042,
      0.456945158078709,
      0.495862030050404,
      0.636604626551718,
      0.713161909486718,
      0.793409605278379,
      0.626566896959688,
      0.522297427917702,
      0.747048565637591,
      0.735775231930629,
      0.716656508246504,
      0.655932687953509,
      0.737653038707505,
      0.798321017953351,
      0.74218212282334,
      0.767722397980654,
      0.630311620705653,
      0.724010593873301,
      0.788008767702348,
      0.842997146666373,
      0.716426923393797,
      0.419452461104191,
      0.774741866087353,
      0.655471153749804,
      0.696137092829063,
      0.756846132235835,
      0.830450068005449,
      0.784932018145063,
      0.787856935711871,
      0.716317910825625,
      0.661711647349509,
      0.707061053082327,
      0.650072398572866,
      0.60606578383891,
      0.609999056794348,
      0.762803235531284,
      0.646062941040949,
      0.62865284440464,
      0.681687443297895,
      0.750811946822726,
      0.744050429133456,
      0.775727958657199,
      0.760129896696406,
      0.628317163588954,
      0.691774032806604,
      0.754862890655717,
      0.701866103272251,
      0.579182934927663,
      0.708523811623246,
      0.754301632607653,
      0.713508353265972,
      0.677488795023139,
      0.5534657289378,
      0.694377116227824,
      0.520957372559718,
      0.574154255667408,
      0.752361163993183,
      0.651446851246584,
      0.67581362411373,
      0.696632979404055,
      0.66195933161749,
      0.751175011157527,
      0.801972355923585,
      0.738020538657345,
      0.734342037199549,
      0.675572960479947,
      0.793646980132717,
      0.755132277422916,
      0.767023448342969,
      0.720449321410838,
      0.616914584386239,
      0.722189086732312,
      0.730200981751033,
      0.673595178666071,
      0.684448044119756,
      0.643812784613121,
      0.570794966704852,
      0.754091276883809,
      0.607801434957328,
      0.561505765454808,
      0.70914259075588,
      0.563644801541715,
      0.672161546490464,
      0.641868032324269,
      0.527787639468619,
      0.605814282597298,
      0.535274547859268,
      0.59321495563084,
      0.693445505530284,
      0.715839882251081,
      0.640459847318301,
      0.713163290949884,
      0.723373474034864,
      0.806736993844386,
      0.698214992008448,
      0.756989012606052,
      0.56906951311179,
      0.656898898187612,
      0.769493952139923,
      0.654771646035706,
      0.646579605942466,
      0.742252709052892,
      0.639737012957421,
      0.679795701987768,
      0.68240007377621,
      0.677158964337611,
      0.615891135526118,
      0.712539981881507,
      0.667583854722431,
      0.596243864391668,
      0.466433008523037,
      0.513896776105101,
      0.632947669827647,
      0.730346011829955,
      0.660531738102304,
      0.697377748601539,
      0.628300746635765,
      0.583528661814002,
      0.72320806181418,
      0.730323252859844,
      0.772727914998537,
      0.775640823450159,
      0.760243643683018,
      0.712783270760049,
      0.578471318889814,
      0.707547861977588,
      0.739260954510824,
      0.525488026734709,
      0.653864687645083,
      0.544093993213505,
      0.491796968721741,
      0.440785712572798,
      0.62946606161121,
      0.417736799369187,
      0.497935703995994,
      0,
      0.45791767215427,
      0.291971380237578,
      0.352387183933791,
      0.254870354808934,
      0.383499335530202,
      0.393553538393316,
      0.340477556788464,
      0.210245837351764,
      0.266565503611037,
      0.438804226860191,
      0.271199764137412,
      0.531590887639084,
      0.137730368006866,
      0.215982539347267,
      0.421746943825626,
      0.1647791321345,
      0.664602863838613,
      0.31431427531722,
      0.219296961676209,
      0.246704232730526,
      0.308906738445807,
      0.417844731951119,
      0.327511253076383,
      0.614539371290575,
      0.528960815451548,
      0.507326632616983,
      0.326527676793631,
      0.375822976751458,
      0.103869538646124,
      0.249934444747543,
      0.398436012645131,
      0.277832861897725,
      0.243049263943555,
      0.24899878133198,
      0.137193052349509,
      0.21256429039697,
      0.473698070481811,
      0.24193745625381,
      0.540171224044796,
      0.116627019758686,
      0.478404287907882,
      0.3748861850063,
      0.264320433134816,
      0.633365516938223,
      0.441357968194003,
      0.584393471913941,
      0.51667793811056,
      0.404632164403208,
      0.564002800358942,
      0.527728478154338,
      0.645549344196291,
      0.734432464616785,
      0.543498919679867,
      0.53395332225113,
      0.542111422044314,
      0.505010038970914,
      0.450306951253865,
      0.442189098625783,
      0.498721782439173,
      0.467931413738771,
      0.556384244243517,
      0.597669901637007,
      0.615526475417715,
      0.693409475345435,
      0.586803676940383,
      0.617520364831714,
      0.577170971005244,
      0.624120847240007,
      0.566862045399974,
      0.65563524128763,
      0.570271678589236,
      0.482791578794257,
      0.51367523992271,
      0.4764113972654,
      0.55866730875605,
      0.488548167709444,
      0.43495878008523,
      0.509853421841692,
      0.419126108772473,
      0.617401214467594,
      0.377863599505736,
      0.449530163794773,
      0.57554275831119,
      0.396617022755524,
      0.627536558016329,
      0.604429952762847,
      0.633432940078892,
      0.709311944857955,
      0.512857720506779,
      0.628306453467022,
      0.467733524964443,
      0.508472675544069,
      0.670085296454132,
      0.580790435766982,
      0.59540567898634,
      0.651306420543713,
      0.490798909097087,
      0.534541752833208,
      0.465382221916767,
      0.640989915306933,
      0.311863554135731,
      0.631701719524121,
      0.543725240690335,
      0.31314475145144,
      0.590043005380694,
      0.60485560285004,
      0.570006988439172,
      0.570255004003723,
      0.641089910785729,
      0.68744359258721,
      0.636535014906559,
      0.607945064548587,
      0.633438115318291,
      0.62900516289409,
      0.704917465021575,
      0.595326488741754,
      0.610274188925452,
      0.742009812150261,
      0.53425296255935,
      0.655241244448875,
      0.611532335742997,
      0.442853027298926,
      0.525256439593777,
      0.50019827515377,
      0.488847796546955,
      0.473054288585522,
      0.580088690555777,
      0.49225991997835,
      0.775504921298135,
      0.615182995786627,
      0.617370746524885,
      0.585405605631192,
      0.556319419739575,
      0.541420777639442,
      0.438145129690375,
      0.5826421239752,
      0.512672695848793,
      0.543759855072809,
      0.569289658493702,
      0.385853547357612,
      0.692052667380378,
      0.545208264791777,
      0.674157151638268,
      0.611824025609654,
      0.418464493458502,
      0.528939150096823,
      0.492485161679576,
      0.562142716346612,
      0.516699027032052,
      0.675470591403387,
      0.491353614358101,
      0.564402536250221,
      0.436066973873968,
      0.605257565862601,
      0.464696974958768,
      0.716941745397188,
      0.699574523408386,
      0.624822768061768,
      0.601061783449122,
      0.516815377362047,
      0.571634611544113,
      0.642172091126721,
      0.745884296795136,
      0.619709673581869,
      0.496476133711122,
      0.582310294953456,
      0.632523867617787,
      0.566951433452679,
      0.546930445457495,
      0.65560595260328,
      0.536700662019317,
      0.479489526752027,
      0.554165418123667,
      0.555911622080323,
      0.579922688141728,
      0.491102968172482,
      0.568060975906874,
      0.732309233301386,
      0.654764605413723,
      0.515500034185782,
      0.448599752133975,
      0.625097790205669,
      0.439725829182491,
      0.645032743088439,
      0.525792079514121,
      0.563160240383251,
      0.541646683875707,
      0.563347145185902,
      0.493042148805354,
      0.602902541407924,
      0.662884333062372,
      0.692151551528248,
      0.532547034218167,
      0.628286157591378,
      0.666940636952231,
      0.648405885508286,
      0.52787023564773,
      0.622085996905286,
      0.511365294650878,
      0.760287368893251,
      0.574371250261994,
      0.551599740181917,
      0.575232260651846,
      0.511878259314957,
      0.57384752675072,
      0.574221386835066,
      0.44471120473288,
      0.454053651069319,
      0.473710584706526,
      0.554809340559426,
      0.745729432536671,
      0.636521288091978,
      0.769649415930835,
      0.729511092167124,
      0.778071004153748,
      0.775740201450852,
      0.670282558963813,
      0.715020765318845,
      0.738581699446325,
      0.840795376881612,
      0.75061185201129,
      0.710569666473128,
      0.636837180970132,
      0.548379259453374,
      0.543979790022505,
      0.508194691601774,
      0.64972701437075,
      0.613616261680761,
      0.621902580306783,
      0.763357160964809,
      0.632771476799808,
      0.587505259930307,
      0.438760638271651,
      0.609454520610325,
      0.614763757796351,
      0.522460945962805,
      0.524733421867973,
      0.56098418185266,
      0.644845483466426,
      0.707766749138413,
      0.757250152287304,
      0.755622336018392,
      0.717554592412143,
      0.681111801298244,
      0.715949398824295,
      0.728362142912748,
      0.728344069658015,
      0.716609909983206,
      0.726283350519501,
      0.699441844846556,
      0.498294897274058,
      0.767223391640761,
      0.611358158891443,
      0.723011323405058,
      0.713193269767972,
      0.478840993322002,
      0.557052527382528,
      0.478867318381516,
      0.587238399025879,
      0.483273227354215,
      0.608326221214902,
      0.643729911497653,
      0.478424084410444,
      0.70793049850942,
      0.652485328145503,
      0.725350915645084,
      0.735227341509961,
      0.729233375029635,
      0.748868950772189,
      0.671640839234933,
      0.745091604670542,
      0.741226823332149,
      0.688258204069818,
      0.787599505225713,
      0.680255427103857,
      0.721444652606067,
      0.555536776475786,
      0.612306305123599,
      0.664507189985342,
      0.557610445144737,
      0.448191889907062,
      0.643518234491852,
      0.610773669826074,
      0.59565132198207,
      0.537423828831676,
      0.578446907160969,
      0.574172516790723,
      0.510602456184177,
      0.452043702226555,
      0.482319442361001,
      0.664479970724487,
      0.615427918669082,
      0.663646305115604,
      0.640126970238124,
      0.616335301981688,
      0.446597955217545,
      0.59887324562873,
      0.593188515105454,
      0.545519542243859,
      0.780636515746926,
      0.705419419375982,
      0.525576385844957,
      0.60728201653153,
      0.576305734473933,
      0.698549531643906,
      0.574932939351884,
      0.611086758429602,
      0.586253719443382,
      0.641726489485825,
      0.702833868984039,
      0.734778615464025,
      0.50863433483239,
      0.532430996245861,
      0.632884331173198,
      0.600151474733512,
      0.534318567139903,
      0.586208867885223,
      0.64206572019388,
      0.581836793165144,
      0.698762852818345,
      0.638303815093263,
      0.59759998672707,
      0.609690139716515,
      0.553188712626514,
      0.634959349196394,
      0.510331832479384,
      0.734889948045152,
      0.639789176265622,
      0.613379326535026,
      0.598549094398878,
      0.636612465383613,
      0.740295494058838,
      0.712126012407572,
      0.602279230408682,
      0.578103462359768,
      0.712437871916609,
      0.561102937373795,
      0.55169264952791,
      0.539897996929637,
      0.483033210750025,
      0.476231304951342,
      0.667763632443698,
      0.779890318244999,
      0.61597818914546,
      0.710512853561912,
      0.669613807520321,
      0.736933108421835,
      0.722587111897048,
      0.776794866729747,
      0.714833206925625,
      0.643777244106838,
      0.665348465158101,
      0.581634757917521,
      0.780788854865262,
      0.69238492462705,
      0.63803967968719,
      0.704604126960724,
      0.707319051033756,
      0.619011008327576,
      0.585896625053051,
      0.561302945798844,
      0.528161447423405,
      0.705990403916495,
      0.576584729928661,
      0.477445264390453,
      0.528370890353091,
      0.372010302343752,
      0.668849055787805,
      0.626798174440843,
      0.804783583293936,
      0.63532373950139,
      0.651439743835039,
      0.625150940443811,
      0.714483847656083,
      0.816103110901003,
      0.759360582968848,
      0.635883398522902,
      0.748375848377164,
      0.662858893744021,
      0.729209445920583,
      0.75943320845266,
      0.836262533815254,
      0.712647964404738,
      0.768765115116974,
      0.66193283892265,
      0.480703803885205,
      0.788416622322822,
      0.718769718721991,
      0.800981830610302,
      0.667203164601985,
      0.718610751722448,
      0.727169940202296,
      0.720680267858228,
      0.859964725723087,
      0.777838582630779,
      0.694469189552243,
      0.628146426077004,
      0.518120236051318,
      0.568927862343831,
      0.757133478077557,
      0.719035109006394,
      0.703228730479736,
      0.771483663312348,
      0.681890669945352,
      0.640747813106043,
      0.721430645652853,
      0.67794803176929,
      0.71856586288296,
      0.763749970847957,
      0.753072854363646,
      0.566684187131336,
      0.64644518836332,
      0.808205361314779,
      0.679133640031784,
      0.746634242817092,
      0.740218101271788,
      0.544829558023891,
      0.632045992502349,
      0.476924592132163,
      0.538198971287624,
      0.733558385607387,
      0.564669240531445,
      0.611690354158863,
      0.721062373384713,
      0.573801975451089,
      0.699876978259172,
      0.782521928062799,
      0.792467278709902,
      0.755526507439183,
      0.744184341316074,
      0.73528641376831,
      0.702908426760677,
      0.675073508495965,
      0.741338811158169,
      0.760358983701976,
      0.73692699525107,
      0.753375887363933,
      0.70300642216709,
      0.67623599096873,
      0.733237141623279,
      0.626342316592213,
      0.720721142525706,
      0.709959623337773,
      0.528590282646088,
      0.636322926986011,
      0.526936738343466,
      0.628905431568035,
      0.586876576889296,
      0.56294205448499,
      0.603729399309666,
      0.460944633889278,
      0.54371518777384,
      0.623323202815886,
      0.716664601317868,
      0.754260946290319,
      0.765421507203582,
      0.675813009122115,
      0.750462749826557,
      0.66144929472208,
      0.699827889397023,
      0.698194633783198,
      0.724591779537399,
      0.645593074584271,
      0.660582990404785,
      0.628559528685064,
      0.671363350290259,
      0.575544477680757,
      0.596027987268691,
      0.609921990888508,
      0.648401626737834,
      0.568052614165118,
      0.691555402786526,
      0.637249434275381,
      0.469758415326022,
      0.490214541040898,
      0.460364845615601,
      0.586534742209255,
      0.668243693522894,
      0.546291573971755,
      0.674698931997878,
      0.749928506307869,
      0.714202007844179,
      0.742356782465589,
      0.662587373753865,
      0.689133998477143,
      0.677022186590897,
      0.68604683852501,
      0.729102534610005,
      0.701828820448815,
      0.568167520930037,
      0.498731152328737,
      0.463496712441677,
      0.661760171001608,
      0.463956557043595,
      0.483063288185408,
      0.490716279547558,
      0.536345115736685,
      0.413578509879944,
      0.53343027214626,
      0,
      0.684132485861448,
      0.31916703133354,
      0.469311303458673,
      0.286664108962978,
      0.335902283914041,
      0.665781026403125,
      0.488869687184202,
      0.321556805686119,
      0.26255255489271,
      0.428946255980222,
      0.45821000665239,
      0.310079055199316,
      0.0913132652489724,
      0.342682419146273,
      0.446380302349857,
      0.146890647133686,
      0.568440366550567,
      0.296136283376202,
      0.370284299587714,
      0.244450350964953,
      0.107395525569611,
      0.394346313150009,
      0.331374757966372,
      0.541935702344474,
      0.490117202698725,
      0.523808938255695,
      0.327187765593004,
      0.427024908323634,
      0.191249590121995,
      0.269794987353476,
      0.428035965740691,
      0.270560868094334,
      0.333318933946498,
      0.478667751244617,
      0.294427285390139,
      0.227009840954797,
      0.485123715406088,
      0.425450383623816,
      0.432864703103818,
      0.392687471954461,
      0.309723620903843,
      0.299655799738613,
      0.26043274721977,
      0.511319898640887,
      0.733652119461253,
      0.359804565757468,
      0.599238955368444,
      0.365769286597168,
      0.486794196215362,
      0.649517987923827,
      0.575753125585641,
      0.775024661395978,
      0.315630404758597,
      0.396351082842321,
      0.329859907626202,
      0.474191826340966,
      0.490932356917776,
      0.516801563357055,
      0.605693671989285,
      0.565405819960922,
      0.59739762476336,
      0.663832535755661,
      0.661247577001118,
      0.681954265595109,
      0.656819161168222,
      0.462037154205671,
      0.474179053206259,
      0.463599644014667,
      0.450351403233173,
      0.653611503965234,
      0.490430183577733,
      0.543388401115534,
      0.576479546936243,
      0.502355397527967,
      0.591359155220619,
      0.507224247531955,
      0.404918953239993,
      0.596826002756294,
      0.611059039226681,
      0.653492281670321,
      0.330727863371101,
      0.42712645217024,
      0.451979770507855,
      0.365037788759715,
      0.602193145346582,
      0.606468692344205,
      0.620769000083749,
      0.602567865688236,
      0.393353229425709,
      0.724389339040043,
      0.434503894033022,
      0.436107708838654,
      0.660293933435163,
      0.449452925894386,
      0.520867711461154,
      0.66854689799366,
      0.410472387253426,
      0.573940302038898,
      0.42352383011414,
      0.708783885796288,
      0.304638675227106,
      0.53347792798502,
      0.634515783723697,
      0.246678368299511,
      0.546993248480041,
      0.569679716024221,
      0.630447643085964,
      0.583623508147324,
      0.650306052636701,
      0.729528028793911,
      0.760050618937575,
      0.598231019508633,
      0.618940220248213,
      0.639234758173598,
      0.721450563566028,
      0.62555091089738,
      0.634184755619119,
      0.69199027610838,
      0.57216778904567,
      0.710754717237016,
      0.697002147557531,
      0.497564148984733,
      0.451205489955274,
      0.668334024869295,
      0.557112377036817,
      0.518990176246827,
      0.624956871441173,
      0.484998693994329,
      0.60818136690759,
      0.506460672640746,
      0.536300519929962,
      0.548066005124233,
      0.625090477792294,
      0.54839546155971,
      0.423840702320268,
      0.636284182733929,
      0.64891428733766,
      0.621229078697653,
      0.613269411247135,
      0.557358051788794,
      0.673164308810319,
      0.575411083752808,
      0.541882200678528,
      0.534161585285371,
      0.496778425533317,
      0.526652516541368,
      0.542578561791625,
      0.687047816353177,
      0.588117919201878,
      0.556134647717719,
      0.581016575920231,
      0.541957881962022,
      0.555385629343963,
      0.709702341527474,
      0.628135981328337,
      0.699742677422334,
      0.728501255680993,
      0.642819990284619,
      0.5936017444624,
      0.439437903450883,
      0.493015589292681,
      0.634392828712154,
      0.646893751313464,
      0.561215258620205,
      0.515132161311897,
      0.618028511969218,
      0.692454451513413,
      0.563408189652404,
      0.686171493959799,
      0.649998653699214,
      0.563606980166363,
      0.546924050040747,
      0.541429054244063,
      0.501672672598508,
      0.411405965769626,
      0.449618238150658,
      0.496205833185824,
      0.619993113775339,
      0.609390487260918,
      0.619335079508305,
      0.559418969059344,
      0.568093925416807,
      0.560364931334951,
      0.616307763438549,
      0.461017562958721,
      0.425019292378263,
      0.509806739925781,
      0.563462309821378,
      0.505778293075186,
      0.523665558929229,
      0.564473189071133,
      0.472939957316716,
      0.650698640107057,
      0.658827670283335,
      0.563013534923363,
      0.58553238211887,
      0.46539023447728,
      0.682746050215531,
      0.495353847340608,
      0.59587144181309,
      0.548854834647078,
      0.621281847401026,
      0.534710523214642,
      0.588557243131224,
      0.399375481242869,
      0.547424900923065,
      0.408724873991865,
      0.429546967139165,
      0.426469667536421,
      0.570135225318597,
      0.731908274522533,
      0.692968107405681,
      0.695666567001579,
      0.66817644049011,
      0.704824209252508,
      0.675436955819945,
      0.535657741828047,
      0.606088338008891,
      0.619992059520272,
      0.797164072303623,
      0.712753809487626,
      0.614593716555928,
      0.648806437226428,
      0.600336673958653,
      0.679326078058644,
      0.650378514779331,
      0.677950116526925,
      0.704311140010589,
      0.599623629074295,
      0.716775021098928,
      0.506498393759195,
      0.587723961577441,
      0.667402870983772,
      0.682519411816988,
      0.525049480342936,
      0.497869865422221,
      0.432512976211179,
      0.663388210701402,
      0.620748331470178,
      0.647134984352097,
      0.690989656366785,
      0.690129334918722,
      0.613565954065169,
      0.648845097070379,
      0.524500660082138,
      0.67874190721477,
      0.710448918748415,
      0.696823328918455,
      0.632682198201758,
      0.65530409717744,
      0.547475463739837,
      0.696428337167058,
      0.559910764926724,
      0.733527418771093,
      0.67413853530435,
      0.620539570340812,
      0.563721414301085,
      0.524780779861852,
      0.623895559806673,
      0.544968527359791,
      0.493993718065807,
      0.582939392375778,
      0.384721065656086,
      0.752876620756552,
      0.574599499202251,
      0.682215670517571,
      0.696549854745112,
      0.672327551137225,
      0.668579761907131,
      0.502237451699621,
      0.562912715832822,
      0.618226029343439,
      0.680133361067672,
      0.757981733421134,
      0.500145740962723,
      0.689961229101448,
      0.463022139141308,
      0.593186587070317,
      0.707691938961692,
      0.555811237598514,
      0.527248369793542,
      0.535653354281719,
      0.567633142449299,
      0.624938718983354,
      0.431079623698172,
      0.674101117729594,
      0.561661723961006,
      0.550876979506071,
      0.506851426408822,
      0.544885885673588,
      0.644831472933085,
      0.644396060562918,
      0.634276927767804,
      0.464195014252157,
      0.582324398290112,
      0.339001677906229,
      0.631140157652309,
      0.554828006133732,
      0.530349434914343,
      0.698551606913445,
      0.640801433679228,
      0.639016797730945,
      0.562855367919808,
      0.537565203487193,
      0.681521770568971,
      0.742941940563769,
      0.454344689674563,
      0.49263204886606,
      0.539779044565279,
      0.558621249804745,
      0.75619984830884,
      0.577600069304557,
      0.567836348209628,
      0.57624807432416,
      0.626733445077104,
      0.494025627060486,
      0.626506383997978,
      0.610386242610858,
      0.559498097352091,
      0.710933096476568,
      0.653736379997057,
      0.778321659932696,
      0.566642035122972,
      0.52193047200039,
      0.435841579105354,
      0.528232377892847,
      0.577699699683023,
      0.537315604521927,
      0.532552692852363,
      0.652198302400551,
      0.569675410451361,
      0.667950411817122,
      0.588099357952127,
      0.540676880576221,
      0.554673744119266,
      0.677450078208001,
      0.551633550611657,
      0.599494041740368,
      0.704325336686918,
      0.613145958464504,
      0.653203274584071,
      0.607891852745719,
      0.740835220647275,
      0.548819679759301,
      0.703901918188373,
      0.653164351099749,
      0.59586663868228,
      0.722553965415012,
      0.671033462306865,
      0.679522522530431,
      0.596754937435688,
      0.642795820900848,
      0.541700672681473,
      0.69709134209989,
      0.632720726391641,
      0.605228542525702,
      0.629653509492431,
      0.747443916515253,
      0.761487219803342,
      0.666816455110308,
      0.653181832585264,
      0.584545002554034,
      0.608928210568513,
      0.710179320488931,
      0.60499186436663,
      0.565211111413899,
      0.582001006601979,
      0.706658526475086,
      0.59722096781869,
      0.624476372492325,
      0.620461963163148,
      0.61693628402465,
      0.604181811259903,
      0.549661074018302,
      0.726233876811923,
      0.680171959918642,
      0.634975037058482,
      0.638482449654288,
      0.66870190259654,
      0.615897077952494,
      0.680026401745487,
      0.764660801785585,
      0.564758249750815,
      0.644290631908531,
      0.540413770332675,
      0.447563967120174,
      0.584958329894791,
      0.607220825826238,
      0.703223764830543,
      0.69541576738928,
      0.646123678647608,
      0.660199059880359,
      0.627551481510614,
      0.782318419560126,
      0.682639860010792,
      0.635730676536384,
      0.70274838557656,
      0.550322171427974,
      0.390613543904896,
      0.784179383078945,
      0.619241497475842,
      0.614708121992516,
      0.661672831619031,
      0.68077087815899,
      0.657036911214441,
      0.65360019311036,
      0.606303265011969,
      0.637897342707816,
      0.629238068872692,
      0.66486190634553,
      0.66873580223473,
      0.686774836486208,
      0.738574129722023,
      0.659917606081081,
      0.769618507574307,
      0.827144203033697,
      0.632821672688268,
      0.607093575901774,
      0.419945924901242,
      0.540191768548819,
      0.698381821733433,
      0.500265441894378,
      0.46746098596238,
      0.666133020576898,
      0.565350688665519,
      0.668282891657636,
      0.649716595237547,
      0.703423651943253,
      0.663319613691356,
      0.624763825621178,
      0.664912784567912,
      0.564923948057392,
      0.469776802382261,
      0.675888819090748,
      0.677231661715516,
      0.713491065016477,
      0.677719279070908,
      0.758836326088233,
      0.636990899385258,
      0.636404500357171,
      0.675777783506646,
      0.623479070414254,
      0.624183948800526,
      0.574430222233492,
      0.627674636290185,
      0.521352120265412,
      0.521691188348201,
      0.462051510366738,
      0.603786916095537,
      0.524168677121274,
      0.57053495749561,
      0.70272917234519,
      0.655612254185749,
      0.787973385859075,
      0.71927692292566,
      0.70626391479389,
      0.665401269374085,
      0.624364063841133,
      0.662070371811507,
      0.606303351788901,
      0.664910672287435,
      0.663485227200874,
      0.632251197721713,
      0.753475358422473,
      0.712163413297294,
      0.638348648749176,
      0.5534002269844,
      0.6009671849394,
      0.631207149207412,
      0.63900789521411,
      0.623300042564357,
      0.696224198167702,
      0.616664474212025,
      0.538726813848747,
      0.489426581084744,
      0.493919163483494,
      0.513851847733171,
      0.534913740197082,
      0.625067179843565,
      0.543861622020225,
      0.679759885124015,
      0.623978252803874,
      0.753713325191892,
      0.610164894014484,
      0.529865418280379,
      0.543509900541844,
      0.579546988637328,
      0.746874647950438,
      0.640911934180684,
      0.454590866534753,
      0.605960705151199,
      0.488599710871648,
      0.628699239729529,
      0.513984032054819,
      0.566774004638362,
      0.540430803686702,
      0.409279497857121,
      0.50501385163879,
      0.595343822861883,
      0,
      0.782337756936703,
      0.308445064136518,
      0.534792861611097,
      0.302285968271278,
      0.352240826484491,
      0.712686875393564,
      0.686531223804713,
      0.375671484559125,
      0.295224145750865,
      0.394089839520892,
      0.61955724861232,
      0.292724360806485,
      0.0477106375633163,
      0.509884980098111,
      0.450405398569718,
      0.274673947551763,
      0.365895432537507,
      0.477703052151671,
      0.542794243833994,
      0.311734862609911,
      0.0975195883736487,
      0.423504753653266,
      0.359959808336191,
      0.231457571201731,
      0.405292263726895,
      0.617815741115279,
      0.395926057171316,
      0.419477657247392,
      0.21032938384587,
      0.449464265859132,
      0.465534703034249,
      0.265133631529132,
      0.540911887135925,
      0.633010685269529,
      0.366579126727012,
      0.220356273951186,
      0.590421322974655,
      0.546438323587743,
      0.56021612768887,
      0.502983995915537,
      0.352172868934339,
      0.343211049226196,
      0.288104830635668,
      0.297178247203163,
      0.822398353295708,
      0.526763196036656,
      0.604059735982414,
      0.525668742196499,
      0.246666190687039,
      0.728136919497681,
      0.447980627344654,
      0.772812453659606,
      0.487160681719038,
      0.485989404791565,
      0.501762535950186,
      0.498345967017582,
      0.63891970105459,
      0.650208358613995,
      0.750109253041517,
      0.706057397366847,
      0.736073408689361,
      0.803559628480765,
      0.760969055645079,
      0.807996637430819,
      0.78479155201333,
      0.463236254435433,
      0.444421886671972,
      0.394665316204374,
      0.304617550173912,
      0.633220102331029,
      0.361230964431417,
      0.489110816541998,
      0.468769372071584,
      0.435780126537841,
      0.514690220820289,
      0.453902050960252,
      0.330759279767679,
      0.571810249307592,
      0.613125543467681,
      0.658289472859948,
      0.32717675492373,
      0.546244025800582,
      0.424262271706641,
      0.486764261822663,
      0.656096459757074,
      0.670273571268933,
      0.66924637317985,
      0.550369819448041,
      0.424952426459713,
      0.823670113511018,
      0.48607796853582,
      0.451945545915303,
      0.676914616294364,
      0.519339010973213,
      0.489726864450045,
      0.603509038134772,
      0.350592533516226,
      0.512556617104415,
      0.333682180934374,
      0.717514414605457,
      0.347036334478773,
      0.376948428283871,
      0.559561141891963,
      0.399939485699995,
      0.604360867521332,
      0.612062951539559,
      0.741015370286263,
      0.710745307325296,
      0.740124826285814,
      0.689345150827027,
      0.858905174518355,
      0.718959694891097,
      0.691194308727937,
      0.750025826203785,
      0.745553820453369,
      0.718036491440127,
      0.665307343493081,
      0.783439162097218,
      0.559218701290226,
      0.690188708724097,
      0.700666059049195,
      0.487892763094233,
      0.542607458974013,
      0.692259305263223,
      0.493144166964046,
      0.640633593480875,
      0.728556442841054,
      0.609551317165745,
      0.55238541142857,
      0.601326510254919,
      0.532127166629129,
      0.626788587887464,
      0.747673647307935,
      0.608782886828226,
      0.36234342588901,
      0.68444221256332,
      0.634706217976373,
      0.569414171841848,
      0.704411388564925,
      0.659843573696152,
      0.734176336623311,
      0.74770418906459,
      0.639107344347246,
      0.629729445016107,
      0.552442527138011,
      0.56541568732596,
      0.562742684103404,
      0.684431252090489,
      0.572908790659404,
      0.496496507304089,
      0.585250316360485,
      0.645309045962532,
      0.621195324509781,
      0.685280846410968,
      0.751524801679097,
      0.584688040015353,
      0.74515674735524,
      0.765138833321087,
      0.660306566316599,
      0.448770510274672,
      0.503862579772154,
      0.583207332686035,
      0.546669820509397,
      0.579281800284664,
      0.646981723658327,
      0.734355365141363,
      0.696035323218696,
      0.69616780647036,
      0.782871973523529,
      0.618267460026958,
      0.587442661769062,
      0.473601235649657,
      0.577141204125075,
      0.539359015361919,
      0.428147462318392,
      0.5247655792466,
      0.537695627422733,
      0.400089561113856,
      0.711018565231972,
      0.745645373315989,
      0.701708132841156,
      0.715885247869274,
      0.678359418102476,
      0.594013981800135,
      0.53243500416738,
      0.537647625288606,
      0.623464861461764,
      0.560087148390191,
      0.643728810432347,
      0.633441720963923,
      0.699607469323507,
      0.498429063046109,
      0.784467730447603,
      0.710569377796624,
      0.566775181150442,
      0.627029751708183,
      0.551395004247814,
      0.760734163601389,
      0.602145510265276,
      0.564568966636772,
      0.578802370283047,
      0.580265578763455,
      0.504202144715391,
      0.718852020939625,
      0.399472379789447,
      0.503153077296896,
      0.361045408378823,
      0.362273026950715,
      0.354308385023371,
      0.515859321933331,
      0.820519757737692,
      0.778171173013366,
      0.614891047194938,
      0.64707689684752,
      0.531858285106596,
      0.655086094559888,
      0.537690234428184,
      0.620081405078562,
      0.664621643000555,
      0.714020421679104,
      0.700155088067943,
      0.562255255408391,
      0.686603400068447,
      0.744324154055188,
      0.825050094787234,
      0.782077177238437,
      0.625525939499988,
      0.821084022139309,
      0.56163716401236,
      0.661543722365851,
      0.49745347760245,
      0.468677933154674,
      0.723505014302201,
      0.690233947975539,
      0.475383452812461,
      0.569927415583421,
      0.415798515490847,
      0.786761457644783,
      0.739744163097669,
      0.503431339513081,
      0.586090137652528,
      0.530574799203974,
      0.678560884779179,
      0.716169267386155,
      0.656464372361656,
      0.584570935864264,
      0.800542662860574,
      0.778409970372074,
      0.764524985085182,
      0.670546924013053,
      0.5959502473766,
      0.689869652322817,
      0.466707649809979,
      0.8112160892232,
      0.788117033056064,
      0.570051052835229,
      0.533875904360063,
      0.668403029914497,
      0.764742027393139,
      0.591846329861434,
      0.509613440616112,
      0.439825537842119,
      0.478784207831827,
      0.787990449152601,
      0.569759502580201,
      0.827095207202588,
      0.78154355053225,
      0.777947045959791,
      0.813476395453748,
      0.574613603155344,
      0.63118808367345,
      0.550823896893193,
      0.503278695357703,
      0.729189975996129,
      0.602008920625095,
      0.744431796864803,
      0.538161574232134,
      0.699223332626402,
      0.723343740768843,
      0.645861040218801,
      0.623976688980374,
      0.661324196291293,
      0.470123308407255,
      0.587446778000419,
      0.594200145667962,
      0.580007192314149,
      0.55478118337237,
      0.390586339922263,
      0.643277156341095,
      0.585111879887686,
      0.780223122257239,
      0.772990080219358,
      0.748163377897385,
      0.484075954709271,
      0.628439757830759,
      0.420861489659006,
      0.724957160339234,
      0.64562407565213,
      0.645207285984629,
      0.556282303347279,
      0.593060303446266,
      0.601148034483302,
      0.638143559861685,
      0.559413419082268,
      0.67075733641415,
      0.774767892448485,
      0.507602157074971,
      0.47912828211436,
      0.498894416243354,
      0.606985824299374,
      0.72237862206027,
      0.702252592999057,
      0.548811639965883,
      0.437733735414656,
      0.651343235603623,
      0.422114739269909,
      0.489798761605221,
      0.506564675924549,
      0.547700079509801,
      0.503747344497019,
      0.577000055993124,
      0.796119994727761,
      0.591400265051807,
      0.554354542491648,
      0.543315039554213,
      0.677141615966134,
      0.69179392406984,
      0.599041456856036,
      0.525468593706846,
      0.741325794929667,
      0.671857754932167,
      0.718868844845031,
      0.642209113855543,
      0.644736683667289,
      0.560794759201223,
      0.691301439938293,
      0.504451122166051,
      0.763636828953105,
      0.837854356283944,
      0.750463273494912,
      0.765061897510103,
      0.739147180137014,
      0.7172405207812,
      0.601782407284069,
      0.75934181743464,
      0.732589648433545,
      0.614684078684405,
      0.721445844787081,
      0.526518557968471,
      0.639375336322313,
      0.58036227217999,
      0.678654192949293,
      0.548387738461751,
      0.657292193364388,
      0.725271462323917,
      0.722267268567303,
      0.700691269843524,
      0.756720693323977,
      0.842924101262492,
      0.802291386876341,
      0.77833840211326,
      0.59171918353079,
      0.559798813260856,
      0.729186856270783,
      0.752125201678035,
      0.555005798412414,
      0.630394480675244,
      0.675563861750945,
      0.65035227729896,
      0.705596916389079,
      0.561676237273965,
      0.621337514501284,
      0.678416425703851,
      0.519889104854059,
      0.44115255273041,
      0.733919099292859,
      0.765041699886392,
      0.764203745296194,
      0.704015069905273,
      0.612080879215168,
      0.670122537376426,
      0.511229403601541,
      0.538435773544136,
      0.724338914178171,
      0.549101531618016,
      0.596695272189159,
      0.422502739034195,
      0.584529848715541,
      0.595431842216424,
      0.770883402304185,
      0.75358218167508,
      0.771743810981445,
      0.723939338662267,
      0.554513702617423,
      0.683403765106505,
      0.686539644411878,
      0.782337954914463,
      0.699947934539089,
      0.317867043351045,
      0.756859304936225,
      0.551621209996057,
      0.566647231821777,
      0.70955549185425,
      0.744057878021801,
      0.781393983167688,
      0.708855458964328,
      0.617350885463549,
      0.630089752225303,
      0.592481533933591,
      0.605239458296615,
      0.719632338148442,
      0.682501643000629,
      0.684537680689402,
      0.659578684918,
      0.713186786923817,
      0.795248317508036,
      0.620126289906407,
      0.560122243063404,
      0.512412314948584,
      0.525198349346078,
      0.653081922042966,
      0.514939175523356,
      0.533791256790299,
      0.572697823740735,
      0.607132588865754,
      0.699649033461706,
      0.641662121874701,
      0.713125698623398,
      0.569715513962517,
      0.550077537695669,
      0.703692452427384,
      0.573775762778738,
      0.502815670140214,
      0.674937527124245,
      0.477779418154999,
      0.740043411553713,
      0.80824712183245,
      0.769202345300775,
      0.645173539009698,
      0.59998154503682,
      0.617178125213224,
      0.728605297058061,
      0.690875702264825,
      0.539369406272906,
      0.585848678932935,
      0.605588316550543,
      0.611649939047971,
      0.520441284881059,
      0.701600356977805,
      0.73190338295761,
      0.642405334954367,
      0.786756774218291,
      0.779530714719335,
      0.789952426497976,
      0.649503170533595,
      0.575886985640467,
      0.79564718999322,
      0.677352892870194,
      0.61023587759956,
      0.652764226133019,
      0.557212619560885,
      0.605658989293533,
      0.775769899469093,
      0.634914474884225,
      0.604970432117137,
      0.733531142957689,
      0.628933333721264,
      0.710219825776871,
      0.723450352980167,
      0.621304597512471,
      0.51327206323415,
      0.712419719703396,
      0.745675973685169,
      0.563185176996576,
      0.479347044860411,
      0.434754153148683,
      0.486159263226943,
      0.622600120864704,
      0.697347551315296,
      0.572401778874174,
      0.60767715421954,
      0.412105859888177,
      0.724338612409518,
      0.684746901980196,
      0.57701963978179,
      0.520373124827877,
      0.527949906233469,
      0.727742724741388,
      0.544208697183984,
      0.435437475975244,
      0.659956703795268,
      0.582540826066401,
      0.653343505236925,
      0.431289435647322,
      0.663292010348881,
      0.584915864095444,
      0.462946636887235,
      0.415492385434581,
      0.671471629466049,
      0,
      0.679456380592649,
      0.30285543433914,
      0.699944549353075,
      0.31153690091687,
      0.374609680281147,
      0.594265132364159,
      0.705433244543188,
      0.472880876151554,
      0.30166193628315,
      0.554635658783741,
      0.58632219307196,
      0.29092191828016,
      0.0382270203719909,
      0.496615288406698,
      0.465215234904704,
      0.282505457625317,
      0.307506091546646,
      0.562892725374118,
      0.521863385103261,
      0.454623495249465,
      0.0923110798733947,
      0.45136880493275,
      0.445094345005249,
      0.28853359034947,
      0.455291321119547,
      0.511513893138857,
      0.477940804956563,
      0.366475314146395,
      0.177771911355283,
      0.549620326246585,
      0.426936616699617,
      0.394625996754916,
      0.629255186781202,
      0.710452799924527,
      0.391329361376465,
      0.19243936958237,
      0.596977942767166,
      0.503007713996051,
      0.511981163405226,
      0.448956259040114,
      0.311701824779728,
      0.348285605257956,
      0.396701499170022,
      0.310384194681685,
      0.711316424716778,
      0.492006386324788,
      0.528962514914411,
      0.60099981385653,
      0.24421821487454,
      0.609583911282897,
      0.418772204028902,
      0.673965299946634,
      0.457563602832859,
      0.477453223458164,
      0.469782881146606,
      0.467196623336928,
      0.582112291537325,
      0.587586768914827,
      0.679662921157066,
      0.632639363325619,
      0.696052515492967,
      0.728080929751926,
      0.684670875305952,
      0.735372353074559,
      0.717884268824364,
      0.473592400331975,
      0.411125043158752,
      0.427531467805537,
      0.340602603411205,
      0.563652082895201,
      0.449963346945871,
      0.444299144259567,
      0.465569425048024,
      0.375622179312575,
      0.472074390916929,
      0.500989932258346,
      0.356797137897464,
      0.450455536578556,
      0.408953241719456,
      0.585171512203842,
      0.588340722727822,
      0.497564209991808,
      0.407044022450951,
      0.473130418002969,
      0.627001820675568,
      0.596702965391366,
      0.619324132865704,
      0.517128784067727,
      0.459445475219892,
      0.749765282061398,
      0.508395721648789,
      0.494068792400071,
      0.684533762510763,
      0.447313590861564,
      0.535609292100793,
      0.548893478012663,
      0.380516202197898,
      0.523683450717441,
      0.345557381657411,
      0.611726478144894,
      0.328120251334701,
      0.413705109968663,
      0.544402244119788,
      0.357546075198729,
      0.530745872080444,
      0.55635259152428,
      0.68057018607729,
      0.654274707810253,
      0.682709186689241,
      0.637325756290664,
      0.776988146314971,
      0.653644834945753,
      0.624788505206139,
      0.674147404850137,
      0.70586450016829,
      0.652492602249736,
      0.593961266527117,
      0.701892509665172,
      0.44822897253427,
      0.714021270237177,
      0.600960413992093,
      0.506959922063703,
      0.609753632377428,
      0.639841685591807,
      0.57898121051747,
      0.629487621591837,
      0.664884518589913,
      0.557592037930006,
      0.472660759334891,
      0.528632305539679,
      0.481582845100541,
      0.631418046008338,
      0.761296589772531,
      0.573125814179916,
      0.365805144602703,
      0.751557516822761,
      0.647183785254196,
      0.607825876030535,
      0.713512029345282,
      0.58717531897169,
      0.672827745090045,
      0.699608290012005,
      0.586591864453145,
      0.602474092700571,
      0.604209743960645,
      0.567562073835737,
      0.569710263227836,
      0.676277504318391,
      0.598571121836724,
      0.597234313044348,
      0.532648620172713,
      0.732564493779033,
      0.683121700224629,
      0.572174240573917,
      0.667473719230733,
      0.504029186781711,
      0.636575300806611,
      0.76465094860185,
      0.579100020837232,
      0.411228242051714,
      0.497639212304396,
      0.612326883863918,
      0.653561030625761,
      0.538961539466006,
      0.602554196574978,
      0.699846144549492,
      0.659798984117235,
      0.70262677284522,
      0.723122340779451,
      0.591038507360658,
      0.564620250059907,
      0.443629092802602,
      0.534502523049201,
      0.508082986097662,
      0.39495475890957,
      0.477085047179612,
      0.521869532761241,
      0.488037534018648,
      0.664958307240563,
      0.665144626138387,
      0.668121034405916,
      0.667992654501144,
      0.59999710016437,
      0.545829700529642,
      0.509684764714329,
      0.50726822473907,
      0.542587104937633,
      0.534432281815522,
      0.576277678532915,
      0.561767270203043,
      0.629906728304021,
      0.467753810610778,
      0.710729513862121,
      0.629067737046005,
      0.55180601597278,
      0.494804660815946,
      0.518251129683982,
      0.714093201005248,
      0.598695667618938,
      0.556466042136844,
      0.535170616488896,
      0.483160611376059,
      0.513755863269641,
      0.653981752467222,
      0.499668117100593,
      0.397069116184127,
      0.416776251732697,
      0.34474654264201,
      0.4935532549627,
      0.545483072051979,
      0.746930436832962,
      0.699099085221446,
      0.58526568097395,
      0.568259761591844,
      0.584256405724799,
      0.633789320729136,
      0.565081328529593,
      0.598550286587841,
      0.682076649470541,
      0.649767309325324,
      0.638654130620273,
      0.630311023063688,
      0.581751883431631,
      0.69613595856997,
      0.755830143966287,
      0.713127581223621,
      0.659162397900678,
      0.736713681946701,
      0.608672971987566,
      0.583742778814508,
      0.458024118161159,
      0.533801645193631,
      0.583803679763354,
      0.530050788744999,
      0.442579206784272,
      0.528790827017859,
      0.349412274186292,
      0.710934932415448,
      0.750458126910317,
      0.495494603635868,
      0.577421721669187,
      0.504439968241144,
      0.652821400457252,
      0.637451372584253,
      0.616310306519037,
      0.496002937732442,
      0.724222628345397,
      0.703412164036659,
      0.704501101432874,
      0.610484786509051,
      0.565621385691534,
      0.62387970698746,
      0.472684449083913,
      0.788220560032482,
      0.712544150468495,
      0.543854139660602,
      0.550311376419588,
      0.616248859896173,
      0.708354006255067,
      0.462373652552332,
      0.515654327670903,
      0.462449200562815,
      0.408190308141375,
      0.802988534376818,
      0.470003153581251,
      0.758049431424984,
      0.704444291302445,
      0.70238190840235,
      0.757688726715168,
      0.607964912011318,
      0.532882360684243,
      0.598778491963435,
      0.513341343591753,
      0.600366586306439,
      0.586847382517865,
      0.72380494126158,
      0.570318721981736,
      0.640559456124882,
      0.660173673203355,
      0.563409720435784,
      0.568092919503458,
      0.612875257812902,
      0.49666472191682,
      0.689984949677871,
      0.596556069942606,
      0.524861777018386,
      0.54765984126318,
      0.356650841303655,
      0.595797696350339,
      0.557855898156229,
      0.707070482507068,
      0.700040439032751,
      0.673382580271937,
      0.433225413335747,
      0.632535183011385,
      0.480118311635448,
      0.648838159365851,
      0.6193935093419,
      0.581645720050826,
      0.536768977458671,
      0.581377969815948,
      0.642487983263416,
      0.578783454073215,
      0.615138571668417,
      0.633691048079825,
      0.650796167230143,
      0.621233017068749,
      0.632572830701667,
      0.635769032191682,
      0.597597064255667,
      0.688514549705784,
      0.649873503365227,
      0.449233945017524,
      0.451389568784748,
      0.61279800209288,
      0.448956304732106,
      0.447097658140168,
      0.432592107971254,
      0.574436260112009,
      0.533728799964283,
      0.560235214906321,
      0.666772781820288,
      0.608964324482873,
      0.593458034486316,
      0.55972676100672,
      0.660692155161916,
      0.620843205144222,
      0.540663500609579,
      0.469417562519353,
      0.651776906323592,
      0.593853122020545,
      0.708470069932075,
      0.595393417143205,
      0.592809013930022,
      0.598603353979008,
      0.585825510888243,
      0.550982582706249,
      0.729036655108207,
      0.762254532641316,
      0.674400210938207,
      0.690640543110887,
      0.663407051372367,
      0.615406515001303,
      0.552154650505774,
      0.735741498228815,
      0.65463327364317,
      0.544282805147358,
      0.59538634021182,
      0.522693107718169,
      0.575338552829645,
      0.675018170402562,
      0.716954722756043,
      0.579350324135646,
      0.624486910993353,
      0.658827371257303,
      0.657932394258862,
      0.616143656110915,
      0.713718638995372,
      0.779113183375075,
      0.729626243425209,
      0.70052262816408,
      0.621108702292333,
      0.461224794444504,
      0.666310881566816,
      0.709918312720182,
      0.567034598770737,
      0.488790719254612,
      0.596801513669736,
      0.61353929529974,
      0.640241099027748,
      0.454312484046054,
      0.567167826776988,
      0.590014297602005,
      0.70116219429386,
      0.498512179865569,
      0.744872528968722,
      0.687229109925955,
      0.6875179229451,
      0.654339809340567,
      0.522676325560538,
      0.629642228415135,
      0.508853513162113,
      0.560868432946253,
      0.667123503572564,
      0.516675727866294,
      0.562407108383254,
      0.53131156803873,
      0.596249609654787,
      0.561376589206764,
      0.698385069125079,
      0.685227773343454,
      0.717744876515627,
      0.652644746230948,
      0.582557152275318,
      0.599869856437204,
      0.644086453986095,
      0.675422405952558,
      0.794092552828253,
      0.267105752449521,
      0.651114383949873,
      0.555701884920342,
      0.550762317345611,
      0.711190668935754,
      0.650314942426556,
      0.715453087037903,
      0.634868794561388,
      0.596849321764821,
      0.621864825000006,
      0.565108039990981,
      0.648965222702814,
      0.627055284853527,
      0.691716488788279,
      0.664877526854594,
      0.6063488168349,
      0.627338478651919,
      0.669680801054971,
      0.520029908659038,
      0.502509029922092,
      0.632088669913363,
      0.569037314382758,
      0.627195370403018,
      0.457935797966511,
      0.486660428546212,
      0.468924824080675,
      0.564947419717486,
      0.653053394854201,
      0.646126035013613,
      0.655973403387464,
      0.518243066483851,
      0.686963512917724,
      0.645544183779426,
      0.63089635007193,
      0.528888069742781,
      0.634838593687598,
      0.454574391475035,
      0.691967800360466,
      0.737389183298907,
      0.669995075457969,
      0.56421047657881,
      0.557964269011435,
      0.740419563679074,
      0.696818605265709,
      0.685359736037427,
      0.524749784748293,
      0.554228572530877,
      0.546578277210819,
      0.597254812370335,
      0.614368316774615,
      0.708165263836979,
      0.75030465370205,
      0.627706371937543,
      0.693434857502391,
      0.708159565973874,
      0.626048575460367,
      0.660513481473166,
      0.508466241655631,
      0.726119425504686,
      0.694645396248532,
      0.580630815301828,
      0.736036551857703,
      0.602015834730395,
      0.621898663928771,
      0.729618453197861,
      0.59482840209599,
      0.489593536798096,
      0.70503184056826,
      0.630580876905591,
      0.654965389549883,
      0.691019685846798,
      0.704143671030147,
      0.579504948973771,
      0.659604357461015,
      0.69429771772926,
      0.423738236715039,
      0.465001854812157,
      0.394410760381803,
      0.496522898252399,
      0.592211129290302,
      0.660294317068764,
      0.545656686765575,
      0.570407605368066,
      0.422512699720758,
      0.623631604604925,
      0.616206446401854,
      0.524531341397555,
      0.460537763519816,
      0.435975056506505,
      0.656170467052426,
      0.5095553897055,
      0.475504164930353,
      0.563276664557979,
      0.515944735670722,
      0.594379235503726,
      0.427342675740544,
      0.604321838348577,
      0.539634027345989,
      0.442326024095226,
      0.395025021928183,
      0.590670704596141,
      0,
      0.405802502587543,
      0.401062195452217,
      0.791931072870396,
      0.293191040544054,
      0.425539750285731,
      0.380553495630247,
      0.51487723424182,
      0.612658810942541,
      0.304638123095368,
      0.593424349613144,
      0.388808929059463,
      0.205098168016175,
      0,
      0.3067051471871,
      0.460981555208191,
      0.445583227642011,
      0.288950105471758,
      0.501580168939306,
      0.299643932819621,
      0.403666589057157,
      0.209803542185915,
      0.414428665317125,
      0.413984713915635,
      0.272779878680976,
      0.408900162488424,
      0.421953117295649,
      0.693071361272567,
      0.631318199921705,
      0.151863605333061,
      0.609248330906888,
      0.42141060600557,
      0.404049267993199,
      0.590053568188515,
      0.622809664726364,
      0.615983419677549,
      0.506244781315037,
      0.67444890116164,
      0.478900493158455,
      0.301969126547564,
      0.178890015411561,
      0.154177983886956,
      0.389352674825244,
      0.59651447260228,
      0.468138589908757,
      0.427739487316116,
      0.435568121913686,
      0.581705530480696,
      0.69972088359889,
      0.197842211176376,
      0.376332292361426,
      0.550127285412926,
      0.638931079495357,
      0.386424002666449,
      0.456442359698707,
      0.265541240730159,
      0.474668205252482,
      0.298883681977166,
      0.414166828026003,
      0.525839511355671,
      0.430637803578577,
      0.608884620960093,
      0.506417149423892,
      0.62867011615297,
      0.568931298404307,
      0.500572079718193,
      0.611073632547613,
      0.548574426247565,
      0.497220594343815,
      0.523388373457981,
      0.588443212428857,
      0.601559776944744,
      0.529816517010077,
      0.644064119392083,
      0.590686794303076,
      0.56369489588129,
      0.446756776191049,
      0.426255247388823,
      0.484408356894133,
      0.420509462158088,
      0.614453202614302,
      0.778311281352248,
      0.488080099248833,
      0.28725281759348,
      0.73526733596304,
      0.635609749898426,
      0.609593741325106,
      0.729652348764241,
      0.708822373265515,
      0.59495390235538,
      0.555677274558059,
      0.492625245059832,
      0.567164347223589,
      0.714179191650341,
      0.651543929602053,
      0.613372439610625,
      0.604742973558422,
      0.525710795648436,
      0.616343787414007,
      0.424658050988284,
      0.651420604422925,
      0.315361585444199,
      0.687093664360972,
      0.508894222038978,
      0.37285086877864,
      0.479679325047813,
      0.721409199947413,
      0.570143416281146,
      0.541248067096907,
      0.556395140860728,
      0.597670308859694,
      0.577489733995295,
      0.641599062333798,
      0.639481642767186,
      0.632706889210819,
      0.690004379812502,
      0.504912224038088,
      0.576802525250715,
      0.775043533523192,
      0.482709457445549,
      0.803608916565276,
      0.463754664295734,
      0.449451979307318,
      0.661408780855523,
      0.578925402598806,
      0.682443853348835,
      0.736317508243335,
      0.471282967728266,
      0.396135632831988,
      0.430126545827341,
      0.376954115109114,
      0.41350732629464,
      0.696518806961356,
      0.757470274364698,
      0.666542443415412,
      0.44603349235513,
      0.708665200721247,
      0.791211904529778,
      0.538033471847907,
      0.792221070180492,
      0.40238963554602,
      0.630924375178303,
      0.463396993886571,
      0.629512059189286,
      0.763314310797814,
      0.720038827851717,
      0.756883715234087,
      0.717569097110639,
      0.57891569557435,
      0.585254578588277,
      0.71805137194122,
      0.623026899392629,
      0.736023146330996,
      0.828754960370358,
      0.562167094418356,
      0.507451893072647,
      0.463105359486096,
      0.631541605596492,
      0.776851567504301,
      0.473790593927126,
      0.527089360825181,
      0.542692259240964,
      0.690845870595281,
      0.687060234327427,
      0.670682704635488,
      0.627798116165067,
      0.654981341052135,
      0.545693549247894,
      0.63448093568689,
      0.539262929661257,
      0.624135766050101,
      0.681111224743754,
      0.423879822782539,
      0.526329310237979,
      0.565894277733376,
      0.504052774077241,
      0.529690380231015,
      0.755543894588843,
      0.730235922850153,
      0.591269223634255,
      0.36703806537385,
      0.560104916339551,
      0.440253145855761,
      0.552397803335938,
      0.524154456626388,
      0.357846972967228,
      0.515426037772317,
      0.441123347848882,
      0.439827344903974,
      0.376707050213034,
      0.411920531635966,
      0.730788381705291,
      0.69465429940992,
      0.651313266813138,
      0.633649606036666,
      0.640723078510016,
      0.446895517583491,
      0.605894995699155,
      0.616251858900526,
      0.588310299378809,
      0.335700184655835,
      0.47556384750212,
      0.373017568893312,
      0.672007591670368,
      0.561441020874209,
      0.632783777064432,
      0.464473807307256,
      0.438424439268452,
      0.448512190403035,
      0.544534358898564,
      0.539312138379735,
      0.586426745157173,
      0.584305105440417,
      0.737478016957083,
      0.610246902080285,
      0.594314961072489,
      0.718522280025541,
      0.676288105522517,
      0.640600489090565,
      0.639859255643323,
      0.651788821622542,
      0.617365675939686,
      0.718139229686517,
      0.663274955894848,
      0.660722320031096,
      0.487440400370722,
      0.726112325133457,
      0.745114413979855,
      0.471800469467769,
      0.592588056767544,
      0.471957366392382,
      0.425932734784465,
      0.489057719893719,
      0.589864339648734,
      0.610130060364486,
      0.397457651224316,
      0.524891047826779,
      0.453643765401799,
      0.508693128654354,
      0.609354751069223,
      0.582362584140846,
      0.516099581459282,
      0.454192900206699,
      0.695902777940829,
      0.676956659412019,
      0.777969122187836,
      0.667562018813596,
      0.416597220271585,
      0.474490798829957,
      0.588290686862576,
      0.805099309731685,
      0.541705915887123,
      0.673245324868332,
      0.509809434739457,
      0.666917779008962,
      0.574442835583748,
      0.525216088773786,
      0.609761010391422,
      0.707105747674168,
      0.634314615106966,
      0.448561980353709,
      0.725061568339782,
      0.487938168983539,
      0.313012615222367,
      0.731666289274153,
      0.476968275035637,
      0.486808355197069,
      0.485804512110664,
      0.482951498249583,
      0.692484628083764,
      0.711007960474723,
      0.621705284854552,
      0.566565998163345,
      0.671696329058728,
      0.610132927984663,
      0.657151516752536,
      0.75572527228732,
      0.536385070032765,
      0.511094533467638,
      0.629027309003758,
      0.58408783486602,
      0.608786370713278,
      0.637915476960746,
      0.637624142881257,
      0.726420274941919,
      0.477093424298153,
      0.585544103970886,
      0.612403577231118,
      0.573133418669565,
      0.525483482798359,
      0.708473968899463,
      0.436563558200982,
      0.491727480919974,
      0.528333418603787,
      0.633235711563778,
      0.588737953658443,
      0.648672683994396,
      0.581870449712648,
      0.611743584903439,
      0.53862178239023,
      0.668994536092024,
      0.580349057763151,
      0.510696502540624,
      0.634509014436758,
      0.812672055224369,
      0.598541180475981,
      0.494304841983638,
      0.830736367923556,
      0.78185160590759,
      0.764836790676331,
      0.771992384676113,
      0.818055029314411,
      0.63643079195311,
      0.508516088935141,
      0.514505142815937,
      0.62510170029951,
      0.462159551564995,
      0.604208864769827,
      0.656445278821729,
      0.702385027168953,
      0.69880493775216,
      0.68857579431728,
      0.662548553555521,
      0.577685440381942,
      0.570035037434656,
      0.698471917847603,
      0.627420399130794,
      0.601287086411311,
      0.679119374274822,
      0.492991129685979,
      0.453582518047713,
      0.585867795644996,
      0.652436032568055,
      0.531709414622651,
      0.593821775613661,
      0.771535577288886,
      0.630840879335187,
      0.555829743909126,
      0.620564422381542,
      0.555557306347189,
      0.521070935644003,
      0.661400621879352,
      0.528546322699239,
      0.467244045804404,
      0.482165639859396,
      0.574257224795824,
      0.567539524451218,
      0.517290566016571,
      0.629853123037012,
      0.692112586791373,
      0.53891410638844,
      0.733308274955901,
      0.63703402393612,
      0.598191586203421,
      0.790366332840752,
      0.519600065305385,
      0.600449065878634,
      0.645805834935212,
      0.654756726678122,
      0.807683623427092,
      0.539740816562334,
      0.534399650413864,
      0.664209266747956,
      0.551670077806562,
      0.676561201461273,
      0.651216577229477,
      0.60281575476713,
      0.399734920839045,
      0.557712878343259,
      0.604112079126204,
      0.406645349702178,
      0.616705419874158,
      0.426869588584014,
      0.62592835638541,
      0.75361214272124,
      0.749167703783745,
      0.78953823817133,
      0.443540647539386,
      0.408177861218854,
      0.490198376646928,
      0.539041609884919,
      0.497809969572937,
      0.490309849112004,
      0.528413372563348,
      0.5641073668765,
      0.498972938809044,
      0.346408736317513,
      0.773822043650507,
      0.75492031747909,
      0.694844673117634,
      0.664323306498196,
      0.516449635649822,
      0.563993661288932,
      0.529402996859304,
      0.699992017679367,
      0.662430399940141,
      0.488930862153287,
      0.61508052973119,
      0.742016583895003,
      0.198422619916019,
      0.658637873357151,
      0.759236468599374,
      0.690110869671801,
      0.721954100953818,
      0.47529542448727,
      0.61361564855484,
      0.474056622334229,
      0.696944165254954,
      0.669117265991713,
      0.666312168937647,
      0.618080955073026,
      0.527035842070811,
      0.582914135173655,
      0.627149028955515,
      0.62320035422317,
      0.656340226121261,
      0.460165742059112,
      0.612978971993689,
      0.502723560167937,
      0.629000830106563,
      0.612909108168737,
      0.69231226563762,
      0.574652980816985,
      0.497233374720062,
      0.435450109208727,
      0.493268266865825,
      0.631247384385473,
      0.62904851897543,
      0.586357842329622,
      0.52742094956603,
      0.602273147092578,
      0.655851708363371,
      0.530036713539384,
      0.626067376508946,
      0.537912029280251,
      0.523652260538571,
      0.732612734155556,
      0.537188482275311,
      0.643308116865108,
      0.6649975566595,
      0.623953667856194,
      0.728216475618071,
      0.692086056912892,
      0.718064710267768,
      0.548418381288394,
      0.545011965964651,
      0.701875851117488,
      0.760135870359646,
      0.810944503395195,
      0.622403712747662,
      0.572285844180063,
      0.578442452319128,
      0.638318415128012,
      0.635821692527733,
      0.548326047076911,
      0.654850230332881,
      0.487699117840542,
      0.664302599205411,
      0.638820328933414,
      0.622730805620683,
      0.80721171541893,
      0.624810986646347,
      0.601193718343755,
      0.664669004801244,
      0.570663170767668,
      0.574909267021653,
      0.700471282643537,
      0.548698255747046,
      0.463258325851968,
      0.470873049074406,
      0.705906429778702,
      0.515101799485766,
      0.57765242841599,
      0.503401933436237,
      0.436841430776241,
      0.49236301494661,
      0.609136857582125,
      0.513674514261178,
      0.568103760242771,
      0.543685280321324,
      0.662233109020316,
      0.505496450825472,
      0.590149827946124,
      0.700037505423664,
      0.735440168195055,
      0.530690294221846,
      0.421322614288101,
      0.454835287654248,
      0.668073026979142,
      0.536276633600783,
      0.510518594172786,
      0.433686870633799,
      0.423230864409456,
      0.621493475696289,
      0.462698159931043,
      0.567587290580908,
      0.434506007939269,
      0.449156060595832,
      0.336699851761303,
      0.445457503456505,
      0,
      0.33178414682966,
      0.404901382672291,
      0.665706309367036,
      0.217447845662841,
      0.388924612228477,
      0.163543661677854,
      0.368143668471061,
      0.568676840947213,
      0.392374849871441,
      0.5372421771858,
      0.385689236211386,
      0.310312138860903,
      0.0551954636991623,
      0.234329156523213,
      0.444316707551138,
      0.507002498460574,
      0.302110455076642,
      0.403290566948344,
      0.24737001906729,
      0.372082883343599,
      0.245840661537988,
      0.302072255343328,
      0.359166915130882,
      0.206674405738527,
      0.367814551990148,
      0.379688728210828,
      0.674649765403175,
      0.625892207070151,
      0.173251035598188,
      0.603974119111402,
      0.395758368151862,
      0.376342391984645,
      0.437426212503999,
      0.366723556421492,
      0.601153009847028,
      0.552222198967303,
      0.656308815839834,
      0.549359112336211,
      0.335551770149625,
      0.184737810373319,
      0.211591864779403,
      0.416729727723075,
      0.59406118364942,
      0.516196783735862,
      0.438081729261905,
      0.482654922470426,
      0.623623577151112,
      0.610835352514942,
      0.258031368220861,
      0.367476989667346,
      0.726382082972003,
      0.698048201559351,
      0.453425931566384,
      0.452270948162011,
      0.294442075791735,
      0.480006849097744,
      0.429089549546389,
      0.338841566429791,
      0.521050732939778,
      0.500649487314391,
      0.626721765712307,
      0.468190866380332,
      0.674989034844157,
      0.565022594824657,
      0.506104482612545,
      0.563827149064659,
      0.499791459647745,
      0.49675295938114,
      0.545824416815161,
      0.587367273292502,
      0.592901591658491,
      0.526947442963513,
      0.638117948672319,
      0.5885816035928,
      0.5448446350794,
      0.411401826638654,
      0.409670797509707,
      0.495902474481924,
      0.431802827604112,
      0.590468446358962,
      0.744099489603626,
      0.644371915784222,
      0.350364137504511,
      0.735405673707435,
      0.62692734031543,
      0.597853120024703,
      0.726910266230616,
      0.707553369750215,
      0.625723048577657,
      0.659855242004776,
      0.514423371806576,
      0.588443162987229,
      0.756074751453174,
      0.658976435243302,
      0.610839377765485,
      0.607977711487875,
      0.545888493362893,
      0.602279850797648,
      0.44109176979982,
      0.647713763532045,
      0.289457915719862,
      0.695176372540082,
      0.55446554916933,
      0.331627999300648,
      0.523623176343978,
      0.807382798886926,
      0.567776482279621,
      0.659781871221338,
      0.435903145151517,
      0.644177914944665,
      0.524392146796144,
      0.619707528865343,
      0.596577676012306,
      0.633111973376888,
      0.663118296484858,
      0.484117646088487,
      0.589767529029828,
      0.846767070944259,
      0.503768536272695,
      0.810074001434071,
      0.471352873220706,
      0.429028494731551,
      0.663474221595972,
      0.513291665573458,
      0.703033197138776,
      0.746893270577466,
      0.500658055538172,
      0.415466312940409,
      0.447058779164852,
      0.44382871129007,
      0.439879645849762,
      0.635200901828078,
      0.616845922434165,
      0.736501539247629,
      0.602025861085828,
      0.615676900559734,
      0.75757060064959,
      0.491499611964884,
      0.714343625696777,
      0.402937730730319,
      0.582746269951365,
      0.478684272344195,
      0.630765546193403,
      0.776497535247432,
      0.709843323790245,
      0.7663023034084,
      0.755502249863555,
      0.528859748971508,
      0.644262705082141,
      0.682127294196965,
      0.623833504419342,
      0.6609772362992,
      0.829818986218392,
      0.586373725919441,
      0.46532593685752,
      0.458888219982175,
      0.644874335122784,
      0.657779583517036,
      0.478469223864544,
      0.497416777124576,
      0.563054017649731,
      0.71642219157715,
      0.687419260757935,
      0.67599422040669,
      0.765965421898641,
      0.554616169046923,
      0.5833779625704,
      0.620926273970265,
      0.608690768026936,
      0.663333651502335,
      0.717540727280277,
      0.467669323902885,
      0.546239271142592,
      0.532314111007698,
      0.49978739081816,
      0.509536205273663,
      0.758188396555133,
      0.726229845284467,
      0.575719866430426,
      0.391396695336384,
      0.474818269074999,
      0.437725474534177,
      0.486601335222253,
      0.525158354602216,
      0.382407310836446,
      0.499972350287914,
      0.503540431041994,
      0.50603345886698,
      0.380560503478145,
      0.465063990702618,
      0.733260168294149,
      0.688495582647576,
      0.648324798267782,
      0.640699956928979,
      0.63599771860738,
      0.449570500986853,
      0.583172885210762,
      0.622244728006743,
      0.554389504295871,
      0.345445803581029,
      0.473977827970063,
      0.438439532938119,
      0.668923180120214,
      0.540276442840871,
      0.619891311501966,
      0.465385138660683,
      0.46439644794224,
      0.435987046316302,
      0.459196870851644,
      0.561783046714114,
      0.595340576819745,
      0.615264337070116,
      0.765030352389308,
      0.664016631047538,
      0.591671362879988,
      0.711097764852499,
      0.677588519688301,
      0.643346232711008,
      0.625225541807326,
      0.616822605701826,
      0.568143366327302,
      0.71265457107847,
      0.738632912248883,
      0.684003695763585,
      0.70320901641487,
      0.659479642202209,
      0.738535746891266,
      0.40381558448483,
      0.607819905542671,
      0.475437443345393,
      0.38049457535113,
      0.46513075750086,
      0.559920245447726,
      0.611844318871771,
      0.357477971855204,
      0.440122307817699,
      0.488321443676598,
      0.483082410577087,
      0.497914151253115,
      0.539622425517504,
      0.511323529770143,
      0.464757351569225,
      0.69043053943814,
      0.670418605768743,
      0.770609461120105,
      0.68090078192305,
      0.44945223487002,
      0.461154143742697,
      0.524858595454938,
      0.807954407022105,
      0.57882804768154,
      0.616723007717848,
      0.421773286432436,
      0.649722976755585,
      0.717871255823445,
      0.529914020150817,
      0.595205009214281,
      0.694369895181608,
      0.632891485324976,
      0.472856439032088,
      0.720036480950305,
      0.492828207185478,
      0.310001222543118,
      0.677984566710088,
      0.697592226183533,
      0.456638004892532,
      0.47442367325739,
      0.499011939928646,
      0.638659696882107,
      0.697611750942761,
      0.613304902502374,
      0.576412012962142,
      0.677471596558264,
      0.677413602956867,
      0.687913917520576,
      0.768342785127432,
      0.493874493153495,
      0.65060492266385,
      0.624237581376607,
      0.594529967520482,
      0.540548270017662,
      0.579741703085076,
      0.586697315304225,
      0.651736218492584,
      0.577499697243999,
      0.568514176797494,
      0.587675272612455,
      0.570224286621638,
      0.530931024181502,
      0.699374047867503,
      0.478441409416889,
      0.477459703017264,
      0.525204668205442,
      0.637128192934088,
      0.545627959384228,
      0.659548619689728,
      0.584646105622182,
      0.662606324242286,
      0.521004623444141,
      0.682528073225045,
      0.607397898940275,
      0.504431478063019,
      0.627788365699664,
      0.834919855935338,
      0.598628433632808,
      0.584178501340596,
      0.812727493048868,
      0.716976070210198,
      0.712365690753614,
      0.742851911663092,
      0.805799232849022,
      0.740800606794108,
      0.502588663605936,
      0.535339973781722,
      0.631360644692969,
      0.468489204292871,
      0.600356730112163,
      0.655468158868156,
      0.697601747455669,
      0.699988308730428,
      0.686868346090817,
      0.654987822431188,
      0.569858700834563,
      0.538602455666463,
      0.688139038107717,
      0.61118301637802,
      0.580283101429789,
      0.671247454110509,
      0.478627149530902,
      0.384935868515554,
      0.5766869198351,
      0.637800467841911,
      0.585147681149534,
      0.570927234949293,
      0.782364814457502,
      0.620467871761223,
      0.632599900121669,
      0.554495703588707,
      0.568263363372239,
      0.547480446374432,
      0.749318020761939,
      0.543490587759166,
      0.480671748855378,
      0.450731411289601,
      0.590977106110557,
      0.599234737748794,
      0.758944721806959,
      0.672743197481617,
      0.746262911102699,
      0.652498178838495,
      0.714182548930907,
      0.575131665136239,
      0.588528237977997,
      0.83746205966159,
      0.546479378509788,
      0.601174481805271,
      0.652272874948573,
      0.710952073922785,
      0.802959285122287,
      0.579594600090399,
      0.594289087009553,
      0.683566919675704,
      0.555009827261413,
      0.69691134195478,
      0.565447861701969,
      0.624551769844968,
      0.451521333180043,
      0.601152232934414,
      0.541038288932358,
      0.348878453695562,
      0.633765171534967,
      0.489907162936041,
      0.612449242261344,
      0.746001814276147,
      0.743492302064485,
      0.747166514935946,
      0.432622352347122,
      0.422505078138327,
      0.534594000301956,
      0.563130597689813,
      0.549876488034412,
      0.465535750828698,
      0.569139374596571,
      0.480513449945675,
      0.536484666376203,
      0.332311445371091,
      0.763936064401105,
      0.750287729301098,
      0.695802318219267,
      0.69218744188153,
      0.501392036985022,
      0.33226545576382,
      0.731004519739507,
      0.682315339038881,
      0.668871544129866,
      0.502483774266734,
      0.601648926904005,
      0.647208020601354,
      0.207285538147493,
      0.67237857292018,
      0.760606776646103,
      0.674601829174323,
      0.725509280189329,
      0.5139351169469,
      0.617269794144403,
      0.612930084616638,
      0.728938260203235,
      0.675784559400568,
      0.758557943482517,
      0.648495702867327,
      0.553654868280657,
      0.598681715886712,
      0.643016312084868,
      0.61279193067936,
      0.656423509541943,
      0.670038688216421,
      0.636803592525274,
      0.484532364702958,
      0.631263174278426,
      0.537789675613176,
      0.713131111733829,
      0.630297387403419,
      0.46017163397967,
      0.45471327737197,
      0.484809531017951,
      0.7243691991432,
      0.648222569553134,
      0.596631120639455,
      0.521698207490922,
      0.490768460313147,
      0.617031832007799,
      0.528806443575615,
      0.627540562833314,
      0.515004461705921,
      0.488651034131904,
      0.733496968745667,
      0.559480057669772,
      0.642516648113105,
      0.669755122411483,
      0.639913086022735,
      0.636395254766,
      0.679063365561193,
      0.584308503240562,
      0.570580255806628,
      0.517600532355178,
      0.700624775548337,
      0.743889785678508,
      0.78146184835849,
      0.552280366575944,
      0.587668120356574,
      0.558189215706188,
      0.597857016138676,
      0.665676663402058,
      0.513371616963925,
      0.620791896590857,
      0.442222602748714,
      0.659361392805797,
      0.67858458459899,
      0.620849018535348,
      0.74822485399772,
      0.649946370167681,
      0.581057835232344,
      0.672752654919883,
      0.566254961667139,
      0.702293526004741,
      0.702892061298091,
      0.578646035233148,
      0.413484156427105,
      0.439779573102994,
      0.667961587429635,
      0.541781174568819,
      0.662868863797329,
      0.541635653950634,
      0.444490418487027,
      0.522490466565793,
      0.613541058755404,
      0.560348951608838,
      0.521736054083204,
      0.516699356558472,
      0.692716739206583,
      0.548806827728634,
      0.564706118063782,
      0.729833547031475,
      0.854776410826188,
      0.545132242267349,
      0.482259049550525,
      0.438201611264946,
      0.668968893009071,
      0.567140800771551,
      0.491654190175057,
      0.439363148339047,
      0.387354865666616,
      0.622983498300539,
      0.417833099308505,
      0.519450780346663,
      0.48058079659712,
      0.554713036448067,
      0.368524279222503,
      0.456227376804499,
      0,
      0.266009125820724,
      0.361106525740253,
      0.41875040256448,
      0.165006791472727,
      0.434957563652485,
      0.16845919473308,
      0.529739580295253,
      0.311342981091401,
      0.337248756751069,
      0.478506004537187,
      0.289993878842379,
      0.519863985912198,
      0.0244015636168971,
      0.201842121913188,
      0.435056447370472,
      0.522228574124324,
      0.500492292292415,
      0.231149948846204,
      0.139797135739371,
      0.29309181963702,
      0.302473870658592,
      0.263187020187549,
      0.421937499254771,
      0.384862211885277,
      0.323518590942907,
      0.372494265078485,
      0.414996948632778,
      0.328446239313131,
      0.178314135513758,
      0.553015073495611,
      0.336978174340405,
      0.424984916923088,
      0.367553362825002,
      0.401226794738634,
      0.34907697733978,
      0.382664284006493,
      0.341607812399051,
      0.400703711978988,
      0.303647654457869,
      0.0997765529849447,
      0.214412461669451,
      0.315317560914201,
      0.360263517410814,
      0.394450919048153,
      0.340489427300512,
      0.434989026770501,
      0.550747346367925,
      0.434494132476509,
      0.316221888335954,
      0.346833738628513,
      0.661753062475992,
      0.652414352910932,
      0.356095604752711,
      0.416180056787982,
      0.269151034495775,
      0.494970003772197,
      0.482787419318475,
      0.379561880879011,
      0.535751834418007,
      0.453472886981731,
      0.587212141543977,
      0.465432246441635,
      0.658136107536884,
      0.509343211044509,
      0.518985317094252,
      0.482384195425324,
      0.478622763851284,
      0.498101554389869,
      0.422213015243047,
      0.442955268874792,
      0.436906441015879,
      0.519285863939353,
      0.45043298067621,
      0.487878963080937,
      0.465987689427367,
      0.350955126722917,
      0.356736843601888,
      0.472368990179278,
      0.28912571393093,
      0.540560561694078,
      0.462061466434383,
      0.725349367647645,
      0.334556775491064,
      0.463730866981816,
      0.55435811264884,
      0.440513412396146,
      0.615679427368744,
      0.513574013479696,
      0.473430308399632,
      0.651009779588263,
      0.390197317834577,
      0.511851705446081,
      0.752928923240827,
      0.437120507581446,
      0.501002385350289,
      0.555839887214581,
      0.532836295497734,
      0.513823559230282,
      0.380228728660793,
      0.589270933616787,
      0.187009068993244,
      0.470470043749031,
      0.499853714196322,
      0.309664784929785,
      0.52212887540632,
      0.684877441441475,
      0.474961955554652,
      0.6361745936592,
      0.520725916781913,
      0.60900047989825,
      0.446974970726998,
      0.610622208282431,
      0.43237358883366,
      0.437139240637244,
      0.577577690644336,
      0.568122457900286,
      0.518676699933833,
      0.774019203508007,
      0.396682503933347,
      0.663072701480525,
      0.474166418715382,
      0.415633359946201,
      0.545061754545145,
      0.530129600710829,
      0.537606608369749,
      0.652858496540911,
      0.571300540010102,
      0.524487610139992,
      0.572265499191075,
      0.526755178875703,
      0.487581879418337,
      0.544254379166172,
      0.482473660084435,
      0.633445274470845,
      0.769468923084554,
      0.559619690400913,
      0.568429756993371,
      0.449308428867653,
      0.54634263926547,
      0.401962482225072,
      0.577761254518181,
      0.459106087471511,
      0.492413487332752,
      0.65111551465923,
      0.571786301907317,
      0.539239706173242,
      0.784005078894171,
      0.47364354295939,
      0.663300383162607,
      0.541205329487716,
      0.568758168129307,
      0.577617749773288,
      0.749207961213806,
      0.558995232547109,
      0.381511774737761,
      0.486611262611075,
      0.621788749376581,
      0.520663855741873,
      0.529981740850108,
      0.494688443551996,
      0.573015413995155,
      0.670410886319275,
      0.579003125566131,
      0.59248096111163,
      0.679052421192105,
      0.488631766838739,
      0.564963132563731,
      0.625038370752979,
      0.61678241626403,
      0.676545531417465,
      0.540226811256153,
      0.438953437926269,
      0.499102720078141,
      0.443629330431672,
      0.379016893236041,
      0.546995545030455,
      0.518903435523429,
      0.469204724512547,
      0.470637621865692,
      0.345143315972646,
      0.36408360959113,
      0.467945187028553,
      0.411405789277291,
      0.531487457225105,
      0.366558500279121,
      0.466173720981794,
      0.545275923872964,
      0.5302676115504,
      0.358834493228896,
      0.471869956377525,
      0.517238564195854,
      0.398695082344039,
      0.474255772725132,
      0.600806627408211,
      0.51068491408769,
      0.582579819794147,
      0.431705601087957,
      0.58581692317337,
      0.429995585521775,
      0.272266266859763,
      0.439372234587756,
      0.431299258337413,
      0.562050247537138,
      0.501292560825854,
      0.599100030831321,
      0.36838483619423,
      0.325159308090126,
      0.341808965173434,
      0.267256130318666,
      0.466076405940275,
      0.538551475981958,
      0.502296133338643,
      0.675352732583996,
      0.610748804322112,
      0.498151306309269,
      0.486629578074782,
      0.498153548620861,
      0.453414603213565,
      0.593064539917667,
      0.496201838427589,
      0.41074825303,
      0.628230883051115,
      0.725759528979831,
      0.594129444879927,
      0.75994699384678,
      0.49084807636814,
      0.623437192859724,
      0.438974833254192,
      0.591176480793757,
      0.579102755947081,
      0.373472211234197,
      0.603183081821413,
      0.57194039501259,
      0.526996077359851,
      0.368797528794425,
      0.554310628778565,
      0.45410554373451,
      0.498763851576501,
      0.536061056471109,
      0.474628388674063,
      0.519278885864019,
      0.472465668925377,
      0.513422302456123,
      0.545706045846971,
      0.488336887375783,
      0.503658007081406,
      0.415780308466165,
      0.409484863809935,
      0.4997964479747,
      0.625655321479833,
      0.551421980013643,
      0.477293174232044,
      0.372094023123826,
      0.646781230835993,
      0.696347206542711,
      0.532323006618311,
      0.441685689698765,
      0.566836773945336,
      0.549777834362795,
      0.550851983716568,
      0.595213146825518,
      0.541200609935704,
      0.502431769564492,
      0.636693774196733,
      0.687710998636674,
      0.491219815709896,
      0.468737334277358,
      0.452384212412987,
      0.609651216063765,
      0.531508627566798,
      0.551989404711042,
      0.529891505585612,
      0.577894431356108,
      0.658533135743558,
      0.594010842933288,
      0.651883875676938,
      0.552333761704038,
      0.634318115433706,
      0.57558415291517,
      0.537537811501119,
      0.522304334093378,
      0.485405486027704,
      0.426592094554798,
      0.489550420308395,
      0.61830042859606,
      0.466537022616314,
      0.511350473246199,
      0.389688514047762,
      0.513930652660478,
      0.486231779498876,
      0.5283666913539,
      0.45699740993429,
      0.513044468551022,
      0.42778331504259,
      0.523647929477829,
      0.705706668561559,
      0.450327496419843,
      0.579896834523505,
      0.512984957504569,
      0.512005397909248,
      0.712514175691581,
      0.461108098562419,
      0.583161721562525,
      0.738810889498925,
      0.650118293276971,
      0.664997097323771,
      0.56344969237511,
      0.46034653073627,
      0.550691825243693,
      0.447574129524978,
      0.609581862080739,
      0.766333759837959,
      0.454135684352046,
      0.4833489807197,
      0.450097516553844,
      0.335132369147309,
      0.436712551726559,
      0.442760989473968,
      0.720345752424564,
      0.666792183195732,
      0.476254228391759,
      0.528750011267336,
      0.513001006875672,
      0.468285180012263,
      0.532700024804336,
      0.536125306667468,
      0.425310304764662,
      0.472394398062196,
      0.479227892687835,
      0.614102211116874,
      0.509371254043949,
      0.617528203557686,
      0.570887998151313,
      0.541954120859544,
      0.643172138460385,
      0.493224647493061,
      0.562217829343984,
      0.55451578256031,
      0.555892116652685,
      0.497299230000726,
      0.713280808682204,
      0.550920142826219,
      0.589212379309492,
      0.500647702866678,
      0.551080560075801,
      0.546036856207757,
      0.732440219233181,
      0.646038436439823,
      0.637177855227637,
      0.747947451073959,
      0.601609006674657,
      0.525369576800597,
      0.552214524014883,
      0.702196600934734,
      0.501024848259299,
      0.551614078845669,
      0.498305966439238,
      0.743217284690983,
      0.570373995981867,
      0.549783808141739,
      0.701566801035038,
      0.5172606378109,
      0.523382552238798,
      0.620496553732401,
      0.525581617246694,
      0.530206594040097,
      0.527056560845283,
      0.570023297665015,
      0.542614198064949,
      0.499792566188061,
      0.554314510032852,
      0.440752843524893,
      0.512725642955761,
      0.63177381122024,
      0.514715286323412,
      0.534542077786764,
      0.492128875377737,
      0.443789227258266,
      0.530572460287606,
      0.41627419096297,
      0.456797838480358,
      0.425108786494403,
      0.4594775298767,
      0.534735426967079,
      0.489624389838702,
      0.3534634619476,
      0.482802580032503,
      0.465739914418278,
      0.54494576821841,
      0.648271365521375,
      0.548826750696564,
      0.408604600493147,
      0.667932076094318,
      0.581292022497616,
      0.480719965833509,
      0.47828422099938,
      0.582360677433689,
      0.548727234835282,
      0.203777262312202,
      0.656292309111776,
      0.545044402077325,
      0.455240657422775,
      0.496859893134444,
      0.516725938613578,
      0.530563903923306,
      0.58852179953965,
      0.630052716327222,
      0.500960042910527,
      0.771625427547474,
      0.687792414847338,
      0.534593197219565,
      0.561476611939153,
      0.565078776808754,
      0.647047875519835,
      0.621508759316044,
      0.772707129631031,
      0.534866869339451,
      0.540454882420367,
      0.530236707447435,
      0.504233258002339,
      0.677907162801961,
      0.622957946943597,
      0.366685845534802,
      0.399759067910837,
      0.511898623433723,
      0.700075809990404,
      0.474550267083914,
      0.491433547930829,
      0.487633725291508,
      0.428030564475408,
      0.620919099405025,
      0.595140624531806,
      0.476560552505972,
      0.424537142383486,
      0.435603099801416,
      0.661808563523795,
      0.668058777738,
      0.490548391298171,
      0.518549214916054,
      0.646455156774968,
      0.643198013531109,
      0.661594139060828,
      0.517618140765486,
      0.499736309550822,
      0.529549444772245,
      0.550941502430485,
      0.587846790756605,
      0.534647211942414,
      0.508099119184439,
      0.51740259405863,
      0.50554125218157,
      0.687835219739611,
      0.67773672744389,
      0.486013374398843,
      0.484729131863163,
      0.556256687520661,
      0.572786280714307,
      0.539155127784156,
      0.496208146449869,
      0.545533224032424,
      0.619508247590724,
      0.593648899022491,
      0.479223291149553,
      0.6027357759328,
      0.755632198580748,
      0.454569635427412,
      0.567530303855876,
      0.402781537371957,
      0.402642171770735,
      0.677685391133943,
      0.458925942833277,
      0.673752552087022,
      0.619646110778705,
      0.35945942603138,
      0.498321050500948,
      0.377915609769901,
      0.448962937718849,
      0.606779491193471,
      0.647251520749066,
      0.526087810118188,
      0.479560603370926,
      0.464142597550767,
      0.803806931754158,
      0.852629354292457,
      0.444938332142176,
      0.512349573791728,
      0.385148966854263,
      0.61141115110532,
      0.589363475346153,
      0.356800552704907,
      0.448707097913082,
      0.402640567526584,
      0.542357561977553,
      0.388486726182865,
      0.537930241078888,
      0.500505644942124,
      0.528335254566449,
      0.457214879394857,
      0.521354700965586,
      0,
      0.242959946569123,
      0.376680504453562,
      0.403827325911743,
      0.305156026588451,
      0.553620917016523,
      0.194444025273427,
      0.63896941436514,
      0.357555346981217,
      0.307255178475279,
      0.318334585093289,
      0.338648622084522,
      0.572743502035642,
      0.0604200885374384,
      0.0730658655092762,
      0.432546576952173,
      0.671206384064672,
      0.720371791027059,
      0.0997913849283456,
      0.189353506925183,
      0.098122997133857,
      0.444307098983628,
      0.168087511682602,
      0.49633086688357,
      0.646607421523991,
      0.39396461484561,
      0.500316456985495,
      0.624119054790843,
      0.279889740775104,
      0.231988406165063,
      0.475979595504002,
      0.263693376950349,
      0.716248042390196,
      0.558727336955191,
      0.460511553414657,
      0.562426058165484,
      0.322295684801557,
      0.300611549919471,
      0.234488304491014,
      0.389011334804451,
      0.0966893813151177,
      0.264426301115944,
      0.339423480141893,
      0.177845758841902,
      0.444692753838191,
      0.262400864536214,
      0.483063542200839,
      0.476375582363437,
      0.297453686715995,
      0.281820612050577,
      0.298541447376872,
      0.451138665833551,
      0.618611864032868,
      0.308291383881569,
      0.348237329222581,
      0.250305947778208,
      0.511512862209572,
      0.454901331454737,
      0.392118794118346,
      0.43002904713259,
      0.349954771310834,
      0.526063842910515,
      0.403267836990488,
      0.55520443706004,
      0.490130817970798,
      0.517121160396493,
      0.624276541665572,
      0.599545625235276,
      0.5802280568891,
      0.51198784131295,
      0.471783861774855,
      0.444066754388237,
      0.483707766239414,
      0.405856107854776,
      0.547871503244945,
      0.516530017889244,
      0.35450015736992,
      0.419263573988446,
      0.594503857969708,
      0.330098355151804,
      0.508920861769308,
      0.243059279545146,
      0.717389526712428,
      0.481895694814826,
      0.45547237371796,
      0.610268348848725,
      0.411790259866765,
      0.731016475416354,
      0.607104864869974,
      0.535783123754016,
      0.608835607016774,
      0.383539746674887,
      0.469483268493122,
      0.627045094332416,
      0.442246238884414,
      0.50125170011736,
      0.689509340453095,
      0.684250706582177,
      0.608271886625209,
      0.38726564911121,
      0.535571012404042,
      0.219809258154071,
      0.402314276393388,
      0.497568877062128,
      0.237295980625809,
      0.593926568270149,
      0.352552761661364,
      0.440262014190033,
      0.396474687479975,
      0.653265385293638,
      0.617884332457023,
      0.543059967114501,
      0.640605990918557,
      0.429979241822197,
      0.435823267335351,
      0.588575935992823,
      0.508840564015428,
      0.546675933009027,
      0.593661765089534,
      0.375199324636892,
      0.53564700681994,
      0.460830659425574,
      0.515365195078602,
      0.578202661837532,
      0.618940913857149,
      0.464927615899388,
      0.598602211092374,
      0.70700312647014,
      0.657635732187553,
      0.698924541550599,
      0.654789131273966,
      0.604333901993245,
      0.547602802572336,
      0.508755275083414,
      0.429764995307559,
      0.874840006128088,
      0.5827429422313,
      0.540747433616798,
      0.497614422626567,
      0.468499155650045,
      0.452425270842151,
      0.534337765265464,
      0.394852791544152,
      0.531638648793188,
      0.666010027181014,
      0.475395547830055,
      0.470448962751526,
      0.723165577200987,
      0.544467688032363,
      0.622414946207438,
      0.633142452533774,
      0.685282667839652,
      0.632035544065516,
      0.627124066527839,
      0.63664164379887,
      0.492509220547889,
      0.555390326857206,
      0.588432291626174,
      0.60183928293376,
      0.642678087489504,
      0.609910921057538,
      0.648622271850134,
      0.622889059108615,
      0.5844959469636,
      0.629088286320203,
      0.547869716811214,
      0.471926432168871,
      0.634961713465931,
      0.589222040090904,
      0.693932634936898,
      0.607514417584106,
      0.389871788001337,
      0.414511675327004,
      0.502193615999923,
      0.443176168368578,
      0.328598957613846,
      0.794845137098363,
      0.491933250699455,
      0.449649432679971,
      0.543969458228577,
      0.464180274822137,
      0.452721113778397,
      0.414374397008897,
      0.462057354995699,
      0.477408977787062,
      0.405605571109268,
      0.530088407332433,
      0.629148157253863,
      0.454144267046387,
      0.360430817763644,
      0.541588767805525,
      0.582235829069194,
      0.393834224228736,
      0.469712025542336,
      0.719241987370187,
      0.635959320659831,
      0.715050389325751,
      0.358992142777564,
      0.535563180652869,
      0.425255657563553,
      0.315572043185001,
      0.592409650440337,
      0.393355273517825,
      0.60489786534535,
      0.462525767193331,
      0.718216023574215,
      0.416112678622225,
      0.462721240842104,
      0.494501936000664,
      0.325697291276423,
      0.499574696164258,
      0.540565810047394,
      0.444441257183421,
      0.668575460260672,
      0.563344641875776,
      0.617570536843466,
      0.498108421218889,
      0.404613644897081,
      0.456720706982191,
      0.576669994576013,
      0.418219115121788,
      0.36132543146422,
      0.640135935561679,
      0.521406028418092,
      0.621789270045587,
      0.511617802392566,
      0.505568799521812,
      0.625178650306612,
      0.399875996605119,
      0.664364007906576,
      0.653959163620707,
      0.408347695857453,
      0.690135561548063,
      0.715767476618556,
      0.5997693295834,
      0.378905592121759,
      0.661944261765686,
      0.578493848331154,
      0.47369247844598,
      0.620931784483767,
      0.593153151038399,
      0.591644650934971,
      0.475350822911551,
      0.617463652775427,
      0.604668822580271,
      0.494115938700856,
      0.453444615223203,
      0.395612399607905,
      0.458055306700892,
      0.594304607312321,
      0.577086963199678,
      0.509239365039211,
      0.454164040461877,
      0.375411468857387,
      0.731305831602112,
      0.639081002777839,
      0.653739436171987,
      0.416495812381863,
      0.688327383300081,
      0.69660832508133,
      0.683809878072685,
      0.72678941658442,
      0.66570777256033,
      0.640371890888557,
      0.67033130479423,
      0.515631352621533,
      0.483092747647155,
      0.472651457494468,
      0.453760115986074,
      0.680630397324038,
      0.666905285691778,
      0.686548228750778,
      0.66020870863601,
      0.703751415953457,
      0.642463654176634,
      0.723887740758066,
      0.702597763841018,
      0.681812600911148,
      0.519854002150703,
      0.695981170063315,
      0.665034528407685,
      0.61174663234176,
      0.585615798011665,
      0.536254605483471,
      0.534336771505585,
      0.775605640723779,
      0.478769274339076,
      0.526186958610092,
      0.346342835593816,
      0.395180948569536,
      0.460760608345323,
      0.392365493145298,
      0.43544843968759,
      0.575470025893176,
      0.472398776821855,
      0.528666407823405,
      0.715756035162817,
      0.484493110673251,
      0.543075496564284,
      0.56130648202495,
      0.517295558121487,
      0.720092757057316,
      0.513439274274664,
      0.680316784924223,
      0.680507066188375,
      0.634103059320503,
      0.595159459202737,
      0.51623502405203,
      0.452471072302885,
      0.475858702421289,
      0.435647389427423,
      0.543426164266116,
      0.681707097580431,
      0.468335921134495,
      0.418683264120208,
      0.484099325180983,
      0.352350171050091,
      0.387359936208567,
      0.43517674818607,
      0.769434167403226,
      0.712103035433078,
      0.440964887595394,
      0.470520155290053,
      0.65058582218939,
      0.584515622579339,
      0.661325985506236,
      0.523078366287517,
      0.414963589839518,
      0.471826689817229,
      0.488700362226094,
      0.700833740890427,
      0.565721378800947,
      0.613369919269629,
      0.529607201360197,
      0.451825799913981,
      0.539254707325633,
      0.539530972805189,
      0.508327864610993,
      0.698528662426408,
      0.573219764380444,
      0.540584478625388,
      0.544514819137015,
      0.676464694271406,
      0.628414708737177,
      0.553952922280948,
      0.566233694397309,
      0.495481821909784,
      0.548347835819415,
      0.67441058283532,
      0.684636627283543,
      0.737731527167941,
      0.654484085993478,
      0.558694054255906,
      0.502672268946382,
      0.500354047803967,
      0.493625977074873,
      0.558025609059902,
      0.575676062660989,
      0.637559155196002,
      0.610886089231968,
      0.275449758094412,
      0.781109368066107,
      0.478900001124764,
      0.558210546041709,
      0.729286504275825,
      0.583663645135014,
      0.498882133523093,
      0.522553536183077,
      0.529051969500841,
      0.690134035948046,
      0.631094249891766,
      0.626240266448116,
      0.388837794974742,
      0.524751556746935,
      0.488472252250612,
      0.422914267840028,
      0.46766205627076,
      0.615228270802327,
      0.577204227235705,
      0.507353055725792,
      0.39365610860902,
      0.469361420286321,
      0.465042630905512,
      0.380378832278801,
      0.578438686319573,
      0.548104700982974,
      0.678197015861593,
      0.422316321101236,
      0.432183771642602,
      0.571800691882488,
      0.56520483285368,
      0.619029431685383,
      0.549523615126768,
      0.540792139321118,
      0.569966876861068,
      0.470225152036483,
      0.519157295476912,
      0.516958689325155,
      0.447174771702524,
      0.182720379787573,
      0.61452142237437,
      0.493678286532314,
      0.485550558899807,
      0.426217890264072,
      0.656924063208678,
      0.613299419123071,
      0.600426648421845,
      0.49076920657695,
      0.5129160407069,
      0.535638973721163,
      0.613445318126796,
      0.547587573129875,
      0.507789332298006,
      0.492051381987117,
      0.491042123652522,
      0.64244018106673,
      0.684575786164857,
      0.559203623400532,
      0.609399595734736,
      0.65552937616385,
      0.5570577284742,
      0.630488042652078,
      0.769428524474902,
      0.460787058574681,
      0.446406461662349,
      0.523995585189427,
      0.728786028314999,
      0.444178535170326,
      0.50844122758191,
      0.485943391124874,
      0.547345809532836,
      0.700115056067808,
      0.646604362271734,
      0.575124443713266,
      0.430341837886525,
      0.386340545239137,
      0.589726017612113,
      0.745167232501847,
      0.622365334974326,
      0.592614754055682,
      0.560052222717302,
      0.581695712258531,
      0.679434169212125,
      0.637824464884995,
      0.605139782398226,
      0.598238427030627,
      0.594270638103184,
      0.637385019387755,
      0.510563792572374,
      0.520279428384682,
      0.593612275465335,
      0.496822695769951,
      0.823144273260225,
      0.731706393918744,
      0.456116522180926,
      0.463362595362746,
      0.551583140330232,
      0.568711784667991,
      0.609306748891666,
      0.498377899407827,
      0.533547832944116,
      0.511983239248386,
      0.517286248013388,
      0.312239150508905,
      0.549850196263425,
      0.728842263944932,
      0.435903151246808,
      0.645956978092691,
      0.401427020784211,
      0.529792755598484,
      0.715919112363556,
      0.495658738401533,
      0.622790144454066,
      0.720687653357545,
      0.441473869668003,
      0.463268215167769,
      0.331645232367722,
      0.458934644596513,
      0.723377017811884,
      0.734021552542409,
      0.554286783086761,
      0.556227011436074,
      0.721394917512028,
      0.75230833768838,
      0.765351979142314,
      0.590082733944745,
      0.403380717879519,
      0.383891779795773,
      0.504655313128887,
      0.511332478182531,
      0.36660316457098,
      0.522975477961096,
      0.427993753198182,
      0.564309965904058,
      0.451317615987411,
      0.381747018140296,
      0.422953746381244,
      0.537361420812507,
      0.47397858240911,
      0.640984723957378,
      0,
      0.246124962462518,
      0.493392871639771,
      0.401409237223418,
      0.516340399372596,
      0.720462722083918,
      0.270900214630034,
      0.540339180797305,
      0.307925638399585,
      0.4125382182209,
      0.335007529433049,
      0.377712973365507,
      0.420632081035606,
      0.0882523511781889,
      0.199630384148938,
      0.420934965442647,
      0.696256975518306,
      0.724037470336043,
      0.205334324179461,
      0.337892198710462,
      0.141812449604729,
      0.387921574874342,
      0.233578288457486,
      0.52344275864536,
      0.736699554905898,
      0.470206050197112,
      0.750693545774108,
      0.668233914649514,
      0.223232546054044,
      0.469410499985405,
      0.474173491490152,
      0.489189012099397,
      0.745464261982424,
      0.549294936106051,
      0.42778035149524,
      0.54009094993683,
      0.364475116294253,
      0.322534659203817,
      0.178485843858545,
      0.355041125654493,
      0.0689076914550194,
      0.50602095842091,
      0.366656086758242,
      0.153435323213325,
      0.722922968449518,
      0.319371798428014,
      0.406653117177887,
      0.381779197380312,
      0.268556775813731,
      0.212984735215583,
      0.360500242671514,
      0.611976848731365,
      0.707688788682583,
      0.611538699875209,
      0.597474685700273,
      0.541342031699162,
      0.52572616598327,
      0.536019671353759,
      0.591716163688571,
      0.487310492637194,
      0.558944341893478,
      0.573227931588155,
      0.543352083918301,
      0.60554460038987,
      0.549193840080369,
      0.558344770429837,
      0.603832644632208,
      0.613015964861014,
      0.638843249817454,
      0.574825217229896,
      0.621821102653896,
      0.446346509208193,
      0.518837248298332,
      0.567521528344386,
      0.615161480625885,
      0.500504304821528,
      0.312153105193432,
      0.719549223822909,
      0.726185224196506,
      0.263872810962382,
      0.566226147001323,
      0.413649177446704,
      0.652380097318288,
      0.474377571514421,
      0.349307430309075,
      0.710342561171283,
      0.586957013629376,
      0.657504432050109,
      0.585529976703648,
      0.611580786945981,
      0.665679818185343,
      0.378601180174746,
      0.568995031574171,
      0.577388780324627,
      0.48554576980694,
      0.558759137891375,
      0.651923513391343,
      0.681166369624971,
      0.780708942049922,
      0.638058072629918,
      0.655075911728028,
      0.188740311604003,
      0.707346507721288,
      0.553328234277668,
      0.644836279388313,
      0.73939215759748,
      0.566375270412727,
      0.663660289336443,
      0.502272082964481,
      0.608029602368156,
      0.719564387997132,
      0.641117014424208,
      0.739844230523462,
      0.623532200848405,
      0.540860973810166,
      0.576642281864234,
      0.60025285528416,
      0.540712220879054,
      0.656213852641462,
      0.542388712320111,
      0.529550750476749,
      0.651237247056386,
      0.723798859515214,
      0.539632634405006,
      0.554990125906351,
      0.446165183480803,
      0.590671291608631,
      0.646943680137173,
      0.586017063241306,
      0.621061666644096,
      0.579773377700908,
      0.534954297560767,
      0.674000722295363,
      0.651731244673014,
      0.672321278306338,
      0.836858668651146,
      0.657180096033808,
      0.566360214367118,
      0.591249129091277,
      0.740626806361859,
      0.699918752823649,
      0.706912857210679,
      0.597320084074396,
      0.48538824461115,
      0.598826385451328,
      0.784609052292489,
      0.753847777748037,
      0.676311759132645,
      0.737225626310556,
      0.702859378066037,
      0.554188965174607,
      0.608142469693665,
      0.631490706905043,
      0.6512637710713,
      0.670765203798257,
      0.598761884429353,
      0.522051418214237,
      0.667258107486092,
      0.692027268651578,
      0.701990649079198,
      0.704858386483953,
      0.783802134812022,
      0.671514283830251,
      0.523320071499803,
      0.574548469560206,
      0.500079776457476,
      0.613365234777374,
      0.764933253681281,
      0.644225339168253,
      0.628152815238196,
      0.56062208270848,
      0.332431507840516,
      0.590010166154298,
      0.732593814694504,
      0.763092651376157,
      0.668682045281092,
      0.772152205020652,
      0.401035642834501,
      0.759646637005472,
      0.522127960776249,
      0.503384583473102,
      0.419625763279074,
      0.40925930759076,
      0.451799684021107,
      0.462227702081077,
      0.554858840608074,
      0.414472442838635,
      0.507062058041538,
      0.450354339612721,
      0.543728727137766,
      0.636127449596151,
      0.654979765527294,
      0.471867526953769,
      0.481307011879513,
      0.639370761043371,
      0.560342309743216,
      0.69238435085733,
      0.445334257212595,
      0.559099016378784,
      0.621812132678615,
      0.377668230357894,
      0.702405067354063,
      0.542359301165634,
      0.510852245484217,
      0.49252178159445,
      0.654997324206287,
      0.366955195998343,
      0.578577410855665,
      0.614515398273166,
      0.306362709578141,
      0.404689371336266,
      0.619464165287017,
      0.474512074564024,
      0.6395209641823,
      0.525509927671608,
      0.551491679430465,
      0.591387558625449,
      0.479408598602,
      0.472107621184546,
      0.543194032512623,
      0.648548097791266,
      0.625671867878999,
      0.55468250597852,
      0.490754574271044,
      0.573250299005186,
      0.440590423911563,
      0.51706192367673,
      0.592158737569627,
      0.415726755332776,
      0.595286899777737,
      0.704699423722905,
      0.41077470623722,
      0.605059506705629,
      0.648535850551033,
      0.700111762937771,
      0.548538656494219,
      0.603061429258571,
      0.505148671741048,
      0.539132525183021,
      0.61367593344335,
      0.608233129708003,
      0.573396715946315,
      0.509209735602482,
      0.55492832869696,
      0.584622300313674,
      0.486186935405702,
      0.538832637467745,
      0.37508534119256,
      0.648905074468933,
      0.574528413101924,
      0.762730715619558,
      0.607399279994257,
      0.571011369240559,
      0.540633009716461,
      0.7466470212137,
      0.741792088580425,
      0.590280519804019,
      0.454060394559891,
      0.609132573464948,
      0.655157942357253,
      0.627014903000383,
      0.709580748931003,
      0.626405905656314,
      0.574899361403581,
      0.698697825031523,
      0.583616441247688,
      0.63476101892952,
      0.509013583659417,
      0.448859057304908,
      0.616164530599474,
      0.594165945559006,
      0.732545570383778,
      0.632563530057256,
      0.689498086576076,
      0.613445980246835,
      0.649622424938552,
      0.69828956702893,
      0.611134764021308,
      0.665648583822828,
      0.67023529702074,
      0.62345923393202,
      0.665994493754665,
      0.579010330513508,
      0.633754520626702,
      0.746882268681515,
      0.852254768863634,
      0.707069962268201,
      0.552789919575197,
      0.494895813554229,
      0.525364378979936,
      0.752991448537039,
      0.52040014306672,
      0.513427437962068,
      0.447540639546377,
      0.444098706649643,
      0.63196300199868,
      0.731421511663195,
      0.465483802148746,
      0.597676285615247,
      0.562395390468324,
      0.556543864726928,
      0.6841274280823,
      0.618753739894019,
      0.662631631381498,
      0.636023501484812,
      0.594980401078642,
      0.591556771712175,
      0.691961029973928,
      0.710199382809099,
      0.695526097392069,
      0.670553028523155,
      0.685731191552266,
      0.566916925523209,
      0.686936648934298,
      0.447541820881235,
      0.501397122935935,
      0.496330811603336,
      0.489280795153255,
      0.685878823969866,
      0.737112167194116,
      0.656658042786824,
      0.522408109398143,
      0.584140899583219,
      0.66957720825365,
      0.521645596801584,
      0.727442821674226,
      0.45388645456881,
      0.676189969050895,
      0.695266396447361,
      0.629728754942129,
      0.639995096727917,
      0.567357092620221,
      0.626642827041362,
      0.517129805698993,
      0.425238696338844,
      0.625512384188658,
      0.727764022700449,
      0.528582616345748,
      0.779991858551795,
      0.547308956137185,
      0.714509511614896,
      0.582325374384849,
      0.722001652768462,
      0.597174224186093,
      0.672064143379286,
      0.60850878443938,
      0.684466954310827,
      0.634710576937458,
      0.691486757031325,
      0.675845099584335,
      0.722252380279725,
      0.657118224583419,
      0.711636923641742,
      0.582908529794993,
      0.578214971119758,
      0.672386357962869,
      0.654052351503403,
      0.743587149593108,
      0.720033532687123,
      0.577625729453962,
      0.509906085090057,
      0.809313017988546,
      0.645218767721388,
      0.630376650758804,
      0.643681440619637,
      0.509484448405236,
      0.475192926318828,
      0.615942529669551,
      0.61054046216408,
      0.68400814427029,
      0.682487584318608,
      0.617321913716878,
      0.528368215516034,
      0.626942996195724,
      0.664829542995987,
      0.694636804054146,
      0.524309017254104,
      0.6024901057925,
      0.525051407873262,
      0.517191458443024,
      0.35194564643252,
      0.530409106879528,
      0.64959297106059,
      0.418135336413788,
      0.536396833651241,
      0.636018276436649,
      0.739231696191945,
      0.621975312839492,
      0.586961183413356,
      0.674708696719016,
      0.545148259572013,
      0.612515848770577,
      0.529585469101455,
      0.536442336658242,
      0.612364148165213,
      0.604410887719609,
      0.579521017463658,
      0.625474013778135,
      0.437626538468776,
      0.213638931202804,
      0.596130511048707,
      0.614118031276236,
      0.714273584938796,
      0.693683952790044,
      0.706721694577347,
      0.627390228061874,
      0.599842433114651,
      0.45266003261587,
      0.648519490052924,
      0.435350312758055,
      0.618128540565763,
      0.632398736032462,
      0.522619888444224,
      0.605414972908855,
      0.571184387103208,
      0.615748075262967,
      0.620796516471356,
      0.616615112064664,
      0.582627590763897,
      0.611858523246427,
      0.519268387514528,
      0.691567140197607,
      0.750927446766074,
      0.533193794769686,
      0.432399057397798,
      0.509374529817934,
      0.728394054476036,
      0.664860113471953,
      0.61101242554549,
      0.608502911250413,
      0.63186187917324,
      0.805379970199373,
      0.653661295842384,
      0.704932149442327,
      0.494350873809082,
      0.658709560558752,
      0.676252948502959,
      0.659124122276397,
      0.601357999506146,
      0.584788777138252,
      0.473944226403049,
      0.592225320019128,
      0.679850817067289,
      0.644779696783423,
      0.733596638530154,
      0.487652739208497,
      0.559627655898454,
      0.613209239472688,
      0.565750327612602,
      0.555089237115559,
      0.514051628714022,
      0.449924802048001,
      0.8601686358893,
      0.679637675791761,
      0.613904135625234,
      0.56738831076733,
      0.459676290289891,
      0.590020828355651,
      0.617109223411544,
      0.609218596197272,
      0.489962057015512,
      0.640879850644886,
      0.620525980340854,
      0.5929790276444,
      0.529201930520939,
      0.658123264892066,
      0.756773871774724,
      0.638114164202632,
      0.51662752776066,
      0.604235573220675,
      0.694089635702899,
      0.584868234933572,
      0.657503714652082,
      0.67523506643728,
      0.665835572852592,
      0.636307887887443,
      0.548168330344881,
      0.460465696582262,
      0.690032717578178,
      0.676921512625946,
      0.87683515527244,
      0.758800324675372,
      0.890829054109502,
      0.735058696385774,
      0.707783012808286,
      0.606121606409745,
      0.55223533652315,
      0.594742708266276,
      0.671945541572837,
      0.668225205141842,
      0.566830451918193,
      0.500669556903329,
      0.375594967817022,
      0.631968537176173,
      0.485663488927907,
      0.42910717768318,
      0.57634217810799,
      0.562695904363848,
      0.507424398000439,
      0.582788742359453,
      0,
      0.414028945829167,
      0.494560704568279,
      0.399940309242792,
      0.45439408624964,
      0.776297224715368,
      0.264896169379861,
      0.376666980838635,
      0.156995037001052,
      0.406614671478106,
      0.339502928742506,
      0.38513360251555,
      0.199565174577416,
      0.0395480222180491,
      0.256147029552701,
      0.400258512353375,
      0.588345944279059,
      0.631457162155513,
      0.271992560841314,
      0.328448585159195,
      0.126591875590514,
      0.347481933358199,
      0.257430343488775,
      0.498228524967951,
      0.71260448600869,
      0.505671041745762,
      0.74136501091902,
      0.501467418823045,
      0.15957420506544,
      0.574635792903638,
      0.556618164909746,
      0.535383356627824,
      0.562517300814061,
      0.342121065811206,
      0.410543623912818,
      0.232001074624378,
      0.315786147772524,
      0.350643014195572,
      0.187537007674587,
      0.17366119858688,
      0,
      0.54459093853749,
      0.403801950140933,
      0.224351014660113,
      0.719441455823901,
      0.330903916273079,
      0.272541009012849,
      0.333143878698395,
      0.411862389738011,
      0.220008617396057,
      0.4115121229555,
      0.642305361405463,
      0.711588972132392,
      0.610800801875228,
      0.611972605447086,
      0.556518677720948,
      0.519120909872813,
      0.545096548092232,
      0.609452150804292,
      0.488346338869524,
      0.58440837337463,
      0.585776562830149,
      0.57969716998843,
      0.596816794639575,
      0.569131762691951,
      0.512936503020456,
      0.58251892796154,
      0.635775336897769,
      0.645295012676254,
      0.584920445431106,
      0.664514782755613,
      0.502087704480422,
      0.524398701935445,
      0.731740526913624,
      0.681207158388789,
      0.475806652766171,
      0.287069909124723,
      0.7115679864794,
      0.626870388767037,
      0.236161232300937,
      0.503041940319195,
      0.431013541513808,
      0.476525116408485,
      0.384464310270111,
      0.318284473607019,
      0.772052619670395,
      0.594760419175081,
      0.645218313664606,
      0.591552849846841,
      0.609406021882447,
      0.623066087960745,
      0.502358601751038,
      0.601702106780452,
      0.547163261768204,
      0.481137053310375,
      0.560969465237827,
      0.61244995864542,
      0.624376764024618,
      0.829803520586433,
      0.638223986171266,
      0.608988116274977,
      0.234957346122239,
      0.739017650785572,
      0.546157413429512,
      0.657766672639094,
      0.701476150875066,
      0.527944941565029,
      0.681144864700128,
      0.525925160108236,
      0.565801954847831,
      0.733127906716875,
      0.649342947139185,
      0.7883590751111,
      0.664257119049524,
      0.565805786816401,
      0.562553702879433,
      0.637573506119578,
      0.55114050657928,
      0.657882533854526,
      0.549086556377273,
      0.484183375497163,
      0.690074538586843,
      0.749130644799393,
      0.559623956586306,
      0.470101006769551,
      0.439322502403046,
      0.562665708576273,
      0.560261889162624,
      0.456058496498408,
      0.393049777315906,
      0.487019598485807,
      0.419579099892496,
      0.675843317863153,
      0.656719581251571,
      0.670945569179214,
      0.684858113415049,
      0.662565915342005,
      0.485035564876321,
      0.567485938205685,
      0.743980640167246,
      0.700591766436432,
      0.712595871254684,
      0.601827545502177,
      0.600292983808235,
      0.453423911512503,
      0.792914041279595,
      0.758249051788521,
      0.664342572960188,
      0.78847438974907,
      0.749604015026987,
      0.459775316304559,
      0.403229856135476,
      0.688433049040234,
      0.718697895537321,
      0.732484454060688,
      0.650554561172751,
      0.531201026669629,
      0.653005202513789,
      0.710441447580715,
      0.77303145516689,
      0.744837063914298,
      0.794525299470756,
      0.695104180387439,
      0.495053696757396,
      0.442655885860287,
      0.527999071178816,
      0.673503187890982,
      0.689747869842991,
      0.680166152068494,
      0.545303839618576,
      0.492271285242387,
      0.339510079780399,
      0.642368355628326,
      0.736110290753072,
      0.774494501381346,
      0.688464850352434,
      0.43912392175099,
      0.409735130327703,
      0.768748123698756,
      0.514862850041151,
      0.500565488126326,
      0.419407399199232,
      0.396293410320704,
      0.469832874793029,
      0.469171548275044,
      0.566098713804011,
      0.40970370119939,
      0.416169692126178,
      0.391815612880726,
      0.559266697522706,
      0.614502773061271,
      0.547639187697487,
      0.391410732666265,
      0.472637604375869,
      0.51527494766007,
      0.446102746522317,
      0.67460909667481,
      0.490855269533039,
      0.535669569676396,
      0.642506471639696,
      0.453744294193071,
      0.727018126785956,
      0.55656500258438,
      0.496547356921221,
      0.475195172911946,
      0.515294952392513,
      0.353574069687974,
      0.532237179493028,
      0.587657989013378,
      0.309882953394344,
      0.396018401534043,
      0.597011623571497,
      0.490272799265311,
      0.647431343816242,
      0.517377697659051,
      0.508521650001822,
      0.605910982892323,
      0.545935781256149,
      0.46925190601222,
      0.534143650087904,
      0.660728715153697,
      0.639444354473894,
      0.547205727546428,
      0.539005722882895,
      0.568304769450924,
      0.498888843914834,
      0.536374416690564,
      0.602090035571969,
      0.415730229631794,
      0.533916994098851,
      0.721466544667045,
      0.417576666749255,
      0.498860808774721,
      0.54810674775206,
      0.652026037888304,
      0.57833052707891,
      0.548856567959583,
      0.340870212174407,
      0.538597469087111,
      0.554536379144471,
      0.651511238337523,
      0.586293801842341,
      0.516866305447561,
      0.498756261248416,
      0.572148349050975,
      0.46510089336112,
      0.494028198202629,
      0.33745992526749,
      0.674301183186385,
      0.5724698123685,
      0.788128932130095,
      0.62941418986193,
      0.615173484696314,
      0.605072729279845,
      0.661063545750038,
      0.762780962042098,
      0.504947789679171,
      0.391878071016372,
      0.307602180124625,
      0.564901061969228,
      0.586052946987986,
      0.693910123439346,
      0.600892554944885,
      0.465520640101189,
      0.697566509906191,
      0.595869749164983,
      0.645026791401975,
      0.529113595823602,
      0.520906377246975,
      0.580578475858038,
      0.443343433521295,
      0.735654035486165,
      0.614998616910574,
      0.689863600917159,
      0.608827682509857,
      0.459156473525936,
      0.69340362002914,
      0.522308751103751,
      0.715570567228587,
      0.561982001930344,
      0.624772904926102,
      0.662854757755696,
      0.605282099315248,
      0.633915452326964,
      0.821703001972435,
      0.799501404541478,
      0.650495585714119,
      0.677194414652725,
      0.476567866094353,
      0.560108054692349,
      0.758946989603361,
      0.551805108067907,
      0.508518600699189,
      0.430661770610904,
      0.543134411169158,
      0.641414925907778,
      0.680944212544436,
      0.508162612527901,
      0.618352017743978,
      0.561119131248643,
      0.567747371678716,
      0.639633354858806,
      0.695136630550532,
      0.698517786959285,
      0.661204314677565,
      0.570081146327901,
      0.757714263750387,
      0.700449280549451,
      0.72123037890186,
      0.724941440057324,
      0.724365411029732,
      0.668038977026143,
      0.540379050333063,
      0.749741239537076,
      0.465021053964792,
      0.543148548347976,
      0.446679080620391,
      0.514030567677162,
      0.710180402101582,
      0.718376446554772,
      0.592482637717463,
      0.533964996554744,
      0.594200854558777,
      0.761804564686785,
      0.441511032361566,
      0.821895521790652,
      0.403150619875356,
      0.700440192012746,
      0.70766024236018,
      0.651416236185921,
      0.623834373510377,
      0.583890478817479,
      0.636824013348079,
      0.54522754617629,
      0.431489992411535,
      0.67305341421166,
      0.724313641261142,
      0.571445188241628,
      0.773192737223865,
      0.580854248315802,
      0.670354417820059,
      0.673325270589342,
      0.642596680353046,
      0.552068135470477,
      0.673311775578953,
      0.613811234261837,
      0.707654064786379,
      0.687678151437082,
      0.704703688821215,
      0.657461184486319,
      0.675827982380635,
      0.629135865391318,
      0.804033820065624,
      0.657353635326452,
      0.564329326732987,
      0.705245457455139,
      0.672730639329033,
      0.761640390621382,
      0.710752903255667,
      0.567961164616228,
      0.529171683771241,
      0.801339636202457,
      0.679471041391287,
      0.64194725045028,
      0.499118332346551,
      0.510040230191711,
      0.426311988145028,
      0.703908506654531,
      0.661094654853079,
      0.694710240456309,
      0.540902313611651,
      0.603074444532224,
      0.564709706778449,
      0.676039217600802,
      0.692856928913,
      0.723198625233838,
      0.615669547108358,
      0.607533558412373,
      0.505745241562265,
      0.54265966578406,
      0.468687575875709,
      0.493692924503664,
      0.780732428138618,
      0.543554800061619,
      0.651905869711595,
      0.648704021847825,
      0.584745920916562,
      0.688852298378983,
      0.671788063772142,
      0.659243243399514,
      0.656876239858374,
      0.637341436613997,
      0.583451957682386,
      0.578668361193974,
      0.632369683530301,
      0.636152248822605,
      0.610820678342834,
      0.689640763263622,
      0.450085378544066,
      0.249089572582028,
      0.568194032031212,
      0.648791476883541,
      0.744064532864258,
      0.707813016230234,
      0.706029171563179,
      0.587995916834298,
      0.584794333625402,
      0.498379905540413,
      0.742694633814336,
      0.42057710775119,
      0.64159188676817,
      0.618442648331013,
      0.504783449345236,
      0.610997438671624,
      0.598497561197086,
      0.600939065630634,
      0.666699156357728,
      0.619409030762232,
      0.502372944930288,
      0.613787453207335,
      0.411565159925826,
      0.688568014574247,
      0.637415293453331,
      0.550430028068788,
      0.42203081782165,
      0.502622018694391,
      0.804193503669061,
      0.630328416868543,
      0.64027472944385,
      0.585736014570123,
      0.643888404735848,
      0.895714803598992,
      0.645942428139285,
      0.702468883914908,
      0.494917069979073,
      0.65958904551847,
      0.683911962533704,
      0.70014505439073,
      0.557327713590239,
      0.549118686528881,
      0.530057794792366,
      0.630932329350642,
      0.677841951300199,
      0.686747360009837,
      0.689578181109429,
      0.398133289404811,
      0.549496408905209,
      0.671438724521736,
      0.600213465370485,
      0.591244078091024,
      0.557247680879429,
      0.403108333081339,
      0.76280501349621,
      0.596216597733856,
      0.634255002436535,
      0.606358662942936,
      0.462050497991964,
      0.606131850042836,
      0.630015043793976,
      0.611489091115225,
      0.503896742435674,
      0.68135688196817,
      0.624352947758861,
      0.610092738981359,
      0.573760661456224,
      0.71161127564393,
      0.767623287363098,
      0.675427102874833,
      0.57071107420912,
      0.647779566632178,
      0.708347552716285,
      0.621695213587123,
      0.655267340117847,
      0.663835474489165,
      0.721915521560804,
      0.683692816004912,
      0.632185624167856,
      0.491706180140072,
      0.687410499555767,
      0.757305826127022,
      0.853657002092496,
      0.896833075253771,
      0.84700848187764,
      0.713214116495009,
      0.723228624966877,
      0.615571706907652,
      0.650853296668975,
      0.607868140946603,
      0.693867980475823,
      0.701112263647208,
      0.600412388926316,
      0.340088942555743,
      0.365427304366457,
      0.626393985882269,
      0.447597464520371,
      0.457084799398106,
      0.639926771410051,
      0.55819082695552,
      0.567015345375692,
      0.40870371302294,
      0,
      0.633226292583246,
      0.43266999089059,
      0.406678230861421,
      0.26001294268704,
      0.667040467438681,
      0.35748429241723,
      0.536220115355852,
      0.34623858312333,
      0.25215860935204,
      0.317514952659118,
      0.380196563902606,
      0.225480806531166,
      0.0660149571415222,
      0.265981460909386,
      0.390744345822997,
      0.322827234025655,
      0.488403593992979,
      0.306173589699337,
      0.226021906729787,
      0.112934162361087,
      0.416633982357468,
      0.184819530109059,
      0.437001051741715,
      0.590394477711157,
      0.498557967633614,
      0.606774734284533,
      0.335530323420747,
      0.13444900139046,
      0.486273127406924,
      0.427560410794822,
      0.444540454335763,
      0.371482987888824,
      0.20653384993061,
      0.560822251362567,
      0.297591563498074,
      0.0909994901301441,
      0.475740512175339,
      0.231137501119402,
      0.155821140058433,
      0,
      0.321561528813352,
      0.316166529119107,
      0.132891393362332,
      0.540241327662929,
      0.332868054456605,
      0.266208599974332,
      0.300445486082851,
      0.671559994952519,
      0.219283733458577,
      0.626193766456819,
      0.491963153540141,
      0.607209722169731,
      0.27441910172245,
      0.336602741635483,
      0.264581232568215,
      0.488661539894961,
      0.347718103418284,
      0.367844346743616,
      0.442338329444375,
      0.426175969851644,
      0.540512100580592,
      0.4267715335356,
      0.500059071254924,
      0.429367042936771,
      0.458180755927852,
      0.411114819445179,
      0.451229080286281,
      0.467032814212525,
      0.678676069501282,
      0.568209079748235,
      0.374767702467623,
      0.473366615371569,
      0.710047642172962,
      0.736685210027229,
      0.472305982893038,
      0.318863522374451,
      0.452725852652053,
      0.316827495755673,
      0.614914817661199,
      0.361966505886572,
      0.292968199109053,
      0.307619030808544,
      0.264925995780544,
      0.312849114285519,
      0.781730478109046,
      0.460566988031411,
      0.620668897775321,
      0.51883033609523,
      0.356118342732819,
      0.586511221137065,
      0.579960593300792,
      0.504289633761276,
      0.531070798685017,
      0.383940384942239,
      0.426401446048647,
      0.432653848435071,
      0.478434842538175,
      0.692317453511565,
      0.464305430244929,
      0.443171758212739,
      0.293043338106765,
      0.508015355467334,
      0.338763143193761,
      0.338544397745009,
      0.536407432462022,
      0.400921319785194,
      0.420595815384994,
      0.336271193726707,
      0.513957729566937,
      0.631491895247581,
      0.656875675222935,
      0.664021616483809,
      0.616250160640093,
      0.563022975118986,
      0.596346001337909,
      0.588151258420909,
      0.575025950174825,
      0.478819914857094,
      0.387083450047831,
      0.504168329984492,
      0.71006664002108,
      0.620447314564242,
      0.517509641214356,
      0.686540623411377,
      0.412682334515559,
      0.472550671185005,
      0.435752150983961,
      0.450913417738318,
      0.384776154236663,
      0.35039694870032,
      0.420579402865212,
      0.415045527297247,
      0.448988206261031,
      0.450468902578055,
      0.517261491279432,
      0.476787484782425,
      0.398138797685619,
      0.464752799148439,
      0.436903457036792,
      0.476891068247188,
      0.498304776317248,
      0.482390976308504,
      0.553931517227999,
      0.448086973828514,
      0.425032498507931,
      0.40383716255225,
      0.506739576536442,
      0.598605007704945,
      0.549464358309199,
      0.404349945220078,
      0.423375807302574,
      0.583800042842254,
      0.646972764128261,
      0.746082708250669,
      0.504539459504904,
      0.529417106325947,
      0.614925288884302,
      0.711874174904448,
      0.821582251570855,
      0.626218304563462,
      0.544726759171576,
      0.561363047876535,
      0.481319512424885,
      0.409629550924573,
      0.525065073451465,
      0.539499942723018,
      0.569004993277546,
      0.68701048416206,
      0.444465270896255,
      0.488205790204543,
      0.423788550519762,
      0.491288358318071,
      0.48934652775881,
      0.416297046113865,
      0.424734528496115,
      0.385040698121986,
      0.370330399078539,
      0.422634467290809,
      0.460485939562219,
      0.295656128795114,
      0.288951866264386,
      0.282678196588267,
      0.482133598015749,
      0.382024332308144,
      0.405217994846409,
      0.386297022193621,
      0.344048981491113,
      0.442391962843518,
      0.392957911324423,
      0.363217049227957,
      0.417020644851347,
      0.321467310386031,
      0.376317968552152,
      0.477580360195628,
      0.361889112376952,
      0.570929451480202,
      0.475756943410335,
      0.529515859672754,
      0.399795959280569,
      0.326132437722109,
      0.552469411492312,
      0.587539166125655,
      0.479767144319377,
      0.36054881717449,
      0.39935664628106,
      0.532594228106676,
      0.353494819367597,
      0.31645856683022,
      0.374867267564519,
      0.424679625712467,
      0.387619039454104,
      0.488686948700854,
      0.529600486299116,
      0.500123009172183,
      0.440319109707968,
      0.43639249727028,
      0.489208191511818,
      0.527504424983842,
      0.526560645375339,
      0.380819365625834,
      0.372413038284898,
      0.44336279565392,
      0.512091825114736,
      0.478530438770417,
      0.49380838929907,
      0.380010842519756,
      0.452543664034704,
      0.401750556179889,
      0.511068159421892,
      0.494433608236849,
      0.321622966808695,
      0.434233413842219,
      0.626380751148167,
      0.636403333367133,
      0.37435180514642,
      0.402273047931802,
      0.305773038784191,
      0.478521573347171,
      0.506103418545718,
      0.510728326442875,
      0.497987379726811,
      0.488197504926721,
      0.366751616746881,
      0.504753877196175,
      0.35677061584845,
      0.511395274639875,
      0.402325387132544,
      0.448032302331358,
      0.517267892416387,
      0.568482511109788,
      0.523405019826928,
      0.491187120831876,
      0.458450160281018,
      0.625129908732848,
      0.535505670976228,
      0.399590851017332,
      0.382574426421309,
      0.361252341302998,
      0.468420611797461,
      0.475476695233433,
      0.431269133531652,
      0.389989287098201,
      0.323642429942471,
      0.615717841057535,
      0.377631300025807,
      0.323975402210182,
      0.501420797202433,
      0.43990732197213,
      0.522468510214056,
      0.469445658404556,
      0.589734546988868,
      0.517695420245157,
      0.469001931397749,
      0.555239041720078,
      0.456633856001832,
      0.479610690211099,
      0.439116615338682,
      0.593721555289997,
      0.624719003603286,
      0.453678644884748,
      0.497785452247771,
      0.475838308129841,
      0.41444507391519,
      0.727915922407449,
      0.620293363017213,
      0.394881058319894,
      0.679556115228345,
      0.526381381186053,
      0.479070240184343,
      0.542378051196571,
      0.424269974873891,
      0.443955865664705,
      0.590232255946439,
      0.498375983341893,
      0.584895187037313,
      0.514974326146204,
      0.497504266884499,
      0.600322122629666,
      0.494557588327335,
      0.514854467988487,
      0.51058424982403,
      0.57389710776556,
      0.735861558427693,
      0.559097942776236,
      0.526392835391244,
      0.82355982379435,
      0.446729528894431,
      0.498462241994493,
      0.524846794855205,
      0.553588291562985,
      0.511605109017289,
      0.539178022105879,
      0.707967564710418,
      0.485200037678657,
      0.461392618164905,
      0.373670665660127,
      0.470209983230997,
      0.449821541610866,
      0.614378209455729,
      0.428614702416261,
      0.445659376385619,
      0.656785007710558,
      0.672981462067141,
      0.385019554618043,
      0.762395652654956,
      0.390694835102035,
      0.631047056473785,
      0.712588377134377,
      0.671075107295547,
      0.630823655031785,
      0.491284673983652,
      0.553959861736719,
      0.36746783287386,
      0.460325508001763,
      0.598502185647082,
      0.590045357802535,
      0.520822989872142,
      0.640669868354064,
      0.485712541488003,
      0.525888072042447,
      0.618039993475692,
      0.4569811343868,
      0.491501110263641,
      0.403659079611778,
      0.449313403581883,
      0.529083437580533,
      0.513871385268191,
      0.757125436904973,
      0.416325512981679,
      0.510031386423914,
      0.49181205739754,
      0.696137540586659,
      0.574860924624743,
      0.405126144419087,
      0.60972650144968,
      0.680927631744259,
      0.557937341681473,
      0.641765308002657,
      0.586387400695206,
      0.349651449039216,
      0.684993042639967,
      0.489036138463953,
      0.623812473018394,
      0.426237528604645,
      0.624252756863292,
      0.398595044712493,
      0.584870455633208,
      0.585466417510601,
      0.603574505880393,
      0.436907769290274,
      0.517619783430453,
      0.404309115473892,
      0.57473144558421,
      0.489204631163436,
      0.543448791129995,
      0.543307849693681,
      0.468170787330505,
      0.35049964462798,
      0.623758790555121,
      0.459874577947682,
      0.476268782374744,
      0.703307779037683,
      0.476492334373576,
      0.595348623095317,
      0.433108687954129,
      0.393175875545056,
      0.753240653749189,
      0.573390959760035,
      0.530475533395291,
      0.611870097938268,
      0.469477868038238,
      0.445725202756651,
      0.511372776209516,
      0.486336648958656,
      0.536935239711188,
      0.514063224807742,
      0.553931403685447,
      0.279370630472374,
      0.234045832083182,
      0.618402996692071,
      0.470835464888614,
      0.649002264614386,
      0.427644503115477,
      0.457783080611961,
      0.53982019951864,
      0.515701267291729,
      0.497342969585092,
      0.640124931631046,
      0.493806985795516,
      0.566321924438988,
      0.46960460111993,
      0.52126076520374,
      0.425913388937678,
      0.47211889080811,
      0.5989534221528,
      0.50895220577559,
      0.424997948674287,
      0.602515979381037,
      0.67689432120659,
      0.449824027127733,
      0.564140507968741,
      0.602706638405736,
      0.45114536017788,
      0.409890457629329,
      0.373553783246788,
      0.758604997516503,
      0.498983556860921,
      0.498736991928476,
      0.440950721873712,
      0.459533212613522,
      0.867671283693346,
      0.549725381089367,
      0.591591489185027,
      0.439812573768037,
      0.421685288236802,
      0.618576441644816,
      0.688744838252129,
      0.59002932862976,
      0.512515297353151,
      0.566441758988756,
      0.568525081442639,
      0.613731775984001,
      0.520662368837554,
      0.425805304268319,
      0.488823820927036,
      0.504833988427148,
      0.649253110603362,
      0.427816342714511,
      0.568385400893798,
      0.51506807443915,
      0.366451286803731,
      0.55987378823402,
      0.545899234556414,
      0.541284378761297,
      0.478865932917646,
      0.495859450596079,
      0.600399542014701,
      0.516042022284078,
      0.538162553880977,
      0.451500190362383,
      0.485665024119867,
      0.511134332418343,
      0.45375416735892,
      0.550343608004038,
      0.71028097474596,
      0.44077318561827,
      0.611215209913072,
      0.45556839049596,
      0.495731403802591,
      0.677107515072744,
      0.423254514455389,
      0.586476355163527,
      0.641803516185797,
      0.570464726540683,
      0.562836992207739,
      0.557538392495767,
      0.510025745811414,
      0.514568284495736,
      0.881071617042071,
      0.56979340756023,
      0.84977114393245,
      0.687879973658787,
      0.575278149120101,
      0.554834574938178,
      0.505839970847557,
      0.556594553102989,
      0.475309407389242,
      0.565627342219546,
      0.550388714222782,
      0.348766773029514,
      0.340429703532608,
      0.400321588594953,
      0.574701547109401,
      0.20870542155041,
      0.358761143469662,
      0.527651410996719,
      0.420460944949475,
      0.585392393679917,
      0.395089993812502,
      0,
      0.84497411527166,
      0.310363542887719,
      0.42311350334664,
      0.290684007712462,
      0.374073077550255,
      0.502689419375514,
      0.709964080173094,
      0.327999197869385,
      0.215962518130948,
      0.311425571817047,
      0.545452934189362,
      0.214976454753468,
      0.0988709539009954,
      0.406995900882359,
      0.373766675228615,
      0.148175135266997,
      0.334852814748419,
      0.358317810277646,
      0.3497025327799,
      0.13488050555289,
      0.337687192811295,
      0.262912235034909,
      0.354597873692137,
      0.499599333875612,
      0.520438537258326,
      0.497829601554148,
      0.318972499123559,
      0.239730317523355,
      0.241076707548895,
      0.254995620688271,
      0.497287924196352,
      0.342500870534288,
      0.260256400604176,
      0.673847054965172,
      0.40808315680249,
      0.0929531650944138,
      0.626183505279773,
      0.472443359746955,
      0.146639542244575,
      0.00112490952190962,
      0.218146287135781,
      0.27947723724227,
      0.122287385705283,
      0.4096313085664,
      0.643173514361821,
      0.250611063935467,
      0.43608898872119,
      0.758081600091968,
      0.186957780474197,
      0.829390160670709,
      0.443875918047149,
      0.620419188458374,
      0.222343368915882,
      0.423520975547646,
      0.234606872701395,
      0.474808628765203,
      0.443757682228333,
      0.406192644299179,
      0.409972292408077,
      0.441979125380448,
      0.494361521724171,
      0.392509691771833,
      0.577582402603316,
      0.455902701999326,
      0.511894872021922,
      0.437354944978338,
      0.834799562041188,
      0.390125727676626,
      0.852065744652489,
      0.472845422085884,
      0.254984107397512,
      0.538243429956119,
      0.492539224529752,
      0.767968924366541,
      0.482232661913975,
      0.328461880851421,
      0.370033719110734,
      0.391493055791848,
      0.692457068437183,
      0.455168583566533,
      0.308107327065408,
      0.422705277141968,
      0.261998561910443,
      0.519974785834997,
      0.766645509151127,
      0.6977123904764,
      0.672140877686595,
      0.578480212592769,
      0.328458212251225,
      0.680141032929108,
      0.683430117073615,
      0.581152265048281,
      0.560766944336173,
      0.476475050892103,
      0.437021270435162,
      0.501899088159349,
      0.436288442249967,
      0.678644533692573,
      0.519167248280814,
      0.481215646644416,
      0.376321348621597,
      0.400014275552923,
      0.357320130624119,
      0.275056017984036,
      0.40122503853985,
      0.388154985067202,
      0.457297471293009,
      0.391270544721155,
      0.668922183547595,
      0.503181269990714,
      0.750493010074857,
      0.519593359005364,
      0.452899750664299,
      0.880837623359865,
      0.799456539137363,
      0.754250070482856,
      0.781156105356409,
      0.394830292865117,
      0.437412969941962,
      0.526477654606378,
      0.726461787258615,
      0.376169409491674,
      0.473086110070433,
      0.757372079378438,
      0.528686461814888,
      0.346278426996304,
      0.671003845342965,
      0.504199279971252,
      0.304567435797172,
      0.334884000609131,
      0.52078792753158,
      0.450111967157282,
      0.498244701942239,
      0.441477830333827,
      0.414713450070799,
      0.507432410227499,
      0.496799076539588,
      0.711919703925546,
      0.49574831616699,
      0.460977657090518,
      0.623709939717963,
      0.62524395228789,
      0.784703139876143,
      0.628007088559429,
      0.40626240036177,
      0.435044822836027,
      0.505215541513166,
      0.64832982479034,
      0.391874817524387,
      0.539991067384452,
      0.596755787681467,
      0.483147585531589,
      0.367638598906707,
      0.727643090457014,
      0.645442902384839,
      0.4904745491282,
      0.557712460344749,
      0.7975556744538,
      0.7602494500522,
      0.494456409892052,
      0.349700022069951,
      0.572109914562379,
      0.534999123017809,
      0.500581156915172,
      0.444055683454206,
      0.470297300212203,
      0.500128867850135,
      0.697533841451334,
      0.648404020558739,
      0.565599314927476,
      0.415773922575653,
      0.426852712333306,
      0.474953048919332,
      0.310937735890935,
      0.370502723220041,
      0.337837006907035,
      0.387803355383864,
      0.335162119231992,
      0.378423277843061,
      0.272090423032362,
      0.214000359449624,
      0.304438224318854,
      0.47035221539698,
      0.442759168729068,
      0.442618706776357,
      0.402553739069693,
      0.433162552068889,
      0.491137448702268,
      0.448860414753459,
      0.422937529441533,
      0.65660344157677,
      0.599872633928516,
      0.501122915879694,
      0.551389802234982,
      0.575495213427041,
      0.542342076381683,
      0.445331466256156,
      0.606869165708736,
      0.436803547114227,
      0.312505801643473,
      0.625657155219402,
      0.542756597495827,
      0.482707045577682,
      0.503681202086286,
      0.448275409012406,
      0.615963075141913,
      0.477221240990462,
      0.414612542833702,
      0.337206553994997,
      0.403469874018771,
      0.359759158327951,
      0.619034381811708,
      0.420180184727095,
      0.519255536308733,
      0.410783566133101,
      0.605896361311364,
      0.649341326515948,
      0.701836911475427,
      0.546910834231337,
      0.477219842306377,
      0.458903376692425,
      0.46276849397887,
      0.502481936617439,
      0.465294490522769,
      0.487152339718776,
      0.383183510875627,
      0.526880880502061,
      0.423465379912837,
      0.626286063884318,
      0.622988038885144,
      0.446819987789585,
      0.462478913762554,
      0.519329909999373,
      0.681337946591031,
      0.396557032978885,
      0.382375325055248,
      0.275836538398202,
      0.646764210770091,
      0.514500658384024,
      0.484062584131726,
      0.735793541049417,
      0.703416639797366,
      0.564460318787276,
      0.570320558766902,
      0.508220479734578,
      0.659902977549505,
      0.440672245672195,
      0.497588194868379,
      0.536702752848365,
      0.395602422763648,
      0.570096461387688,
      0.415921873105391,
      0.592955316114445,
      0.569222257179052,
      0.665253266957819,
      0.414087571856212,
      0.453231754672043,
      0.588115022468869,
      0.642568671502608,
      0.405696648726042,
      0.341385539885804,
      0.407942319812127,
      0.322499414907257,
      0.559299951328121,
      0.546257995935262,
      0.413992501442869,
      0.44409296037862,
      0.347171460463048,
      0.623156794216824,
      0.59969893359397,
      0.552623585278395,
      0.500255919359874,
      0.47541077109582,
      0.493206863299621,
      0.590065131507691,
      0.64503544836369,
      0.580608586187458,
      0.567967233443045,
      0.602040058635034,
      0.460932141994414,
      0.574810813106162,
      0.38847104037339,
      0.519726914667203,
      0.379970524193882,
      0.379897183470217,
      0.459240620971103,
      0.572077453352558,
      0.877496407233825,
      0.433986167352349,
      0.781660338032743,
      0.455924109486543,
      0.52122700686738,
      0.845115917908792,
      0.42275190609545,
      0.659925691224234,
      0.415525422659923,
      0.50168491378751,
      0.772681936669113,
      0.63266495371518,
      0.599318038116699,
      0.562268747040185,
      0.444336305221863,
      0.658323134838914,
      0.528479968302309,
      0.535083760023975,
      0.778398491773666,
      0.4474493514905,
      0.673504157305607,
      0.479730359587117,
      0.590462924549237,
      0.471182673446782,
      0.683109584363174,
      0.596912150956362,
      0.772156126421702,
      0.479521666456517,
      0.399909861676168,
      0.520703298529376,
      0.492655649073062,
      0.500217192098369,
      0.44556365192228,
      0.481908111657081,
      0.760485534997717,
      0.584716720275351,
      0.52051610611756,
      0.627016158659484,
      0.594672564888278,
      0.683644414095722,
      0.926552437664744,
      0.88805698659306,
      0.655263773251394,
      0.559837888346111,
      0.555615881793069,
      0.530787806616582,
      0.525297484946099,
      0.513762816909127,
      0.723131914229452,
      0.546821848198335,
      0.631985161383796,
      0.577390951585302,
      0.421258683130719,
      0.509467190924824,
      0.478418436009794,
      0.484262402920615,
      0.588703904789021,
      0.588190466299503,
      0.714026559927221,
      0.500696171563819,
      0.714185825805303,
      0.452155240810314,
      0.490481813323092,
      0.520373823491003,
      0.658885872434807,
      0.52462049741566,
      0.562941710353414,
      0.597691884333629,
      0.80078740476484,
      0.454040564840188,
      0.63420821485149,
      0.613137057767201,
      0.553928370320397,
      0.514034179293374,
      0.373769976721809,
      0.624653545240068,
      0.391217923738649,
      0.730496596168914,
      0.530904720406804,
      0.398907890962701,
      0.526839661713791,
      0.635217432248171,
      0.421450527482463,
      0.569845792708164,
      0.610693845358457,
      0.672576285301021,
      0.459746470371806,
      0.425301683655767,
      0.536457921132186,
      0.389447019802611,
      0.346526259874173,
      0.651190271714713,
      0.38706254308449,
      0.457629433309186,
      0.5197198054609,
      0.35260578295225,
      0.479673336558358,
      0.425985408909002,
      0.369338170775369,
      0.654516646336241,
      0.613804756084714,
      0.48145368517702,
      0.527290243773331,
      0.392403783953575,
      0.404798826089182,
      0.598993820485725,
      0.568975549264276,
      0.572441064392436,
      0.664723732102753,
      0.57957072652048,
      0.436547848630378,
      0.265767977144925,
      0.696572431786906,
      0.409909848931787,
      0.604846386557801,
      0.615776640471985,
      0.532064814778777,
      0.557425917476595,
      0.720091555764327,
      0.647146984196438,
      0.596394237039614,
      0.470456758889186,
      0.677250168217716,
      0.569713254340385,
      0.539080184862153,
      0.540016284621931,
      0.508135002116927,
      0.576679931862329,
      0.581906556615039,
      0.478942822293411,
      0.674504587430027,
      0.697160743034317,
      0.58598481160363,
      0.533603145824097,
      0.518271260518543,
      0.49931430514546,
      0.419840635858613,
      0.586166527581144,
      0.674362930086511,
      0.487702882443254,
      0.53769781204585,
      0.551589771748685,
      0.695889511681398,
      0.728120087244965,
      0.532485743328918,
      0.604447966435968,
      0.459503174624975,
      0.650089760154489,
      0.645659964409339,
      0.569679323514459,
      0.586752608799115,
      0.478033274560436,
      0.776603559048583,
      0.46799813354894,
      0.584531128933902,
      0.539147683045358,
      0.401610003572762,
      0.706701508200322,
      0.604450706775107,
      0.536425745844817,
      0.484586872258209,
      0.665449091461805,
      0.499126371569816,
      0.275169437073132,
      0.504032820282937,
      0.651183306198591,
      0.569171242971814,
      0.489361516696472,
      0.523576171222765,
      0.595754499433485,
      0.540618559191001,
      0.578498922607997,
      0.520350700411089,
      0.649849288061436,
      0.546626385624992,
      0.583584079507025,
      0.61718176107219,
      0.66154190533639,
      0.442905576550881,
      0.662717508005105,
      0.363151069680741,
      0.410054881471107,
      0.630976031289399,
      0.416467066413967,
      0.550732582577575,
      0.658297541522596,
      0.70008975927223,
      0.860688695922555,
      0.65808865269512,
      0.573799752133032,
      0.535283651173274,
      0.868231565837814,
      0.604876661277506,
      0.580569144328747,
      0.407813271246119,
      0.534784755349501,
      0.554328054996609,
      0.507479132171501,
      0.507336221228288,
      0.637258773158694,
      0.625709188453848,
      0.525460247315099,
      0.474514278361164,
      0.387669983586181,
      0.459260807469645,
      0.534972967131052,
      0.419005946152785,
      0.468826138997968,
      0.373412328685823,
      0.558560158573312,
      0.570777438412736,
      0.369103234903367,
      0,
      0.857732559294383,
      0.166229424125508,
      0.449518399981309,
      0.236193175308387,
      0.337496670685171,
      0.495376351012474,
      0.810832146835978,
      0.24757566317013,
      0.13456930880929,
      0.329534563072767,
      0.63279633663284,
      0.192853421363088,
      0.0406705376524705,
      0.463301214233852,
      0.313059032826816,
      0.0706892943029939,
      0.360186251909828,
      0.40848081212534,
      0.399583659711315,
      0.184634335684188,
      0.165366731603568,
      0.326107535696041,
      0.21865939984374,
      0.257503748999253,
      0.502463536060749,
      0.45985366652653,
      0.310356024476926,
      0.287854255170222,
      0.153536115275654,
      0.411299533759523,
      0.480386537065088,
      0.357795203623593,
      0.376217365536768,
      0.75586023899642,
      0.324682135024965,
      0.046818467470665,
      0.664669094301479,
      0.51573294964905,
      0.106424544774091,
      0.00677604505506834,
      0.234229442475373,
      0.352885635261592,
      0.149313099123627,
      0.311253098726484,
      0.666433907840538,
      0.279076078477048,
      0.561371380102474,
      0.632668289198758,
      0.148498215044712,
      0.847718062171849,
      0.728008252662433,
      0.599462050943773,
      0.362158498630729,
      0.492467482388839,
      0.366378584297945,
      0.44125521473793,
      0.513312765237479,
      0.482659967146918,
      0.460438060712003,
      0.456835987029277,
      0.547480352677025,
      0.482082555079148,
      0.632255281629883,
      0.480441418211874,
      0.469793938002221,
      0.492032699478704,
      0.904148839533766,
      0.568346421308351,
      0.892224086427245,
      0.541867340906971,
      0.41947664370037,
      0.536839273171854,
      0.436278729971144,
      0.743154080098579,
      0.441645201033133,
      0.313301300313826,
      0.335763798180867,
      0.39150427111716,
      0.559446893020761,
      0.585417566635955,
      0.291102589539682,
      0.467626454943846,
      0.284008882174133,
      0.566070135767384,
      0.761698034962479,
      0.891271462000649,
      0.616013372935278,
      0.614480617358839,
      0.39427576239809,
      0.697252185284076,
      0.801359899721265,
      0.743773130658177,
      0.517446548963514,
      0.503736337810453,
      0.354470340258476,
      0.357482797560064,
      0.352272621634798,
      0.656412462261905,
      0.511682957938305,
      0.608030580165455,
      0.327339154795395,
      0.393009731554221,
      0.389930670670833,
      0.181951425087157,
      0.369620617442167,
      0.336614752239341,
      0.409148654858486,
      0.341167381302823,
      0.728874054332474,
      0.629872623567091,
      0.711050168481262,
      0.595114623488911,
      0.488145804548642,
      0.92758471806726,
      0.877887409745156,
      0.919068723182625,
      0.866401486050865,
      0.505294201861041,
      0.467881840505787,
      0.579648567212179,
      0.608927906434436,
      0.362307189645757,
      0.431453574671855,
      0.656752342827013,
      0.517079961575369,
      0.412387198363998,
      0.742692871807435,
      0.547778725695884,
      0.295069676213675,
      0.347064919170965,
      0.54549297360404,
      0.462360950422349,
      0.483961876045596,
      0.421934191960654,
      0.395711136949485,
      0.649211854004215,
      0.499387662684636,
      0.723351433072962,
      0.51294037316932,
      0.416691223088795,
      0.660485983632803,
      0.738277395782329,
      0.835821203137013,
      0.648282222685675,
      0.42909555696114,
      0.433989841896934,
      0.489308011923574,
      0.533453455873837,
      0.356374495047761,
      0.498724220224705,
      0.628123938133741,
      0.509079728907617,
      0.44422625255877,
      0.58804884034639,
      0.670689805553338,
      0.457642314783172,
      0.635821425959447,
      0.83278523070639,
      0.501339718243029,
      0.456571497537475,
      0.462093866224615,
      0.617771212052604,
      0.546636998647797,
      0.460054783554316,
      0.502308916279582,
      0.479329516750567,
      0.516657528458976,
      0.732221264808571,
      0.684592488112624,
      0.607764893976086,
      0.402852477333219,
      0.393403442707532,
      0.433543670758315,
      0.463485678870844,
      0.3764982943158,
      0.267205279799391,
      0.273309703811448,
      0.380912787914337,
      0.338710620082603,
      0.259733222114583,
      0.298405266457827,
      0.271527425846944,
      0.396347142754889,
      0.462286467096102,
      0.350927326059485,
      0.395018412367481,
      0.464485415447392,
      0.512810207284241,
      0.354951056361085,
      0.472215968400436,
      0.70999060758383,
      0.635648051074392,
      0.53361504290063,
      0.60034150136725,
      0.600126967390322,
      0.565677034961347,
      0.535763490940904,
      0.612509181491892,
      0.530978809611705,
      0.294329106891233,
      0.640215267551788,
      0.523809237843937,
      0.516082535178906,
      0.511741602827012,
      0.44842296055202,
      0.545948770880638,
      0.526975096868427,
      0.408891178814581,
      0.357707035036943,
      0.470604614921724,
      0.494179528083199,
      0.627836515662844,
      0.470755504831806,
      0.451724844157975,
      0.324091751648923,
      0.634532269829835,
      0.781220529483423,
      0.780340679223737,
      0.527742861061868,
      0.564297042341542,
      0.5463870917388,
      0.485801365590483,
      0.465655568353882,
      0.467237563822551,
      0.51589185673873,
      0.3275908317639,
      0.558769139074066,
      0.445939013359964,
      0.545081650580133,
      0.648642866284075,
      0.45020175924358,
      0.418993024960772,
      0.54380009554112,
      0.637824310652382,
      0.370549539966095,
      0.410588670141271,
      0.301059256386476,
      0.700516281538354,
      0.634301484966707,
      0.550614230586984,
      0.714419266193298,
      0.709508868790571,
      0.587678112358563,
      0.624340375155029,
      0.495847099083986,
      0.73250170661405,
      0.527624817248017,
      0.513738745606992,
      0.599535211021947,
      0.416881704422421,
      0.577818959941533,
      0.314475948470272,
      0.626581116490094,
      0.636382362349073,
      0.715208239998287,
      0.381269827074763,
      0.46422116895786,
      0.642435687169805,
      0.684000549227187,
      0.457480454252516,
      0.413642842123742,
      0.453850665486573,
      0.347349361909517,
      0.660015596887869,
      0.661747292339421,
      0.43990331923153,
      0.486024053188099,
      0.387691598609941,
      0.664099555160264,
      0.603759777541185,
      0.572582172330544,
      0.532814757044604,
      0.541909737765299,
      0.612442839338803,
      0.586909848920823,
      0.702779335353099,
      0.625266806221584,
      0.577744157043919,
      0.53326584435831,
      0.511082040335888,
      0.802015048061484,
      0.349012285987124,
      0.735747235198411,
      0.461557327944011,
      0.39675122398023,
      0.518920783609892,
      0.461890274354517,
      0.920109691235752,
      0.412333801012333,
      0.800794773068486,
      0.459667460259264,
      0.591457008104213,
      0.914016896585853,
      0.491168646115584,
      0.670740292799773,
      0.402523429797066,
      0.482634056461909,
      0.837489535890888,
      0.76429743385658,
      0.692668761419611,
      0.600520406699886,
      0.457028656056584,
      0.659193565992036,
      0.585604666692397,
      0.557213255169372,
      0.646266169701508,
      0.48368488661567,
      0.871210226107812,
      0.506333440335053,
      0.621894273498663,
      0.59199325499697,
      0.719302035210287,
      0.458174276593362,
      0.89870379194501,
      0.508909745481025,
      0.4113132329545,
      0.721333629475065,
      0.527216087390043,
      0.50198584497967,
      0.486773765073639,
      0.479417342292636,
      0.68156502150911,
      0.610884364244387,
      0.518315076315792,
      0.611481864351512,
      0.623665710418918,
      0.622983056828029,
      0.91004063734001,
      0.944138536045753,
      0.60178240729264,
      0.67571282568321,
      0.580730865512364,
      0.599004959888252,
      0.621332796577628,
      0.553195457308821,
      0.697710614496349,
      0.484950146155255,
      0.664745842007605,
      0.643994760560767,
      0.386641851428248,
      0.541044853976814,
      0.520258879048091,
      0.478792895558702,
      0.631994441693516,
      0.584044841592557,
      0.731402880244992,
      0.499312921989875,
      0.56645901550246,
      0.394524503715074,
      0.464430883636828,
      0.477528899450925,
      0.669326448443373,
      0.512767541410993,
      0.576964343423053,
      0.634845734205501,
      0.842394694732183,
      0.503203652984166,
      0.676372997690893,
      0.640396373073505,
      0.584116192982837,
      0.536786324107131,
      0.433651168633878,
      0.571415418445566,
      0.377404853699723,
      0.770279118306054,
      0.63182179335233,
      0.430928569062458,
      0.596614399598358,
      0.614871661040871,
      0.421825688206324,
      0.605931112260322,
      0.676039559600303,
      0.690902627648306,
      0.481367937300143,
      0.330991370579057,
      0.548103395790849,
      0.453780524602256,
      0.356698320363512,
      0.572807719796856,
      0.381780556367443,
      0.53618144370519,
      0.561254194245921,
      0.398327232905192,
      0.483708115109499,
      0.44124919924944,
      0.385016054118305,
      0.451281389380709,
      0.68683105847791,
      0.468036806655834,
      0.5564079429663,
      0.441383713418056,
      0.463117672152628,
      0.746444825451661,
      0.625960587421391,
      0.539054640679541,
      0.762599383231433,
      0.622516383735014,
      0.47349815122857,
      0.303164186645665,
      0.679481893840503,
      0.449399711169608,
      0.493679816159329,
      0.731912157849514,
      0.539187578185278,
      0.607388744019049,
      0.736691273084048,
      0.673204989270217,
      0.63714817616019,
      0.503571929015665,
      0.732484903752421,
      0.600723826086698,
      0.528255640335666,
      0.549019051006363,
      0.417820930217653,
      0.520385330177259,
      0.624311267722888,
      0.486509332048361,
      0.745832945139274,
      0.679911895659449,
      0.6070158612264,
      0.523833449510617,
      0.482415522380147,
      0.724612032252206,
      0.514072171382919,
      0.780094931663362,
      0.626849744463782,
      0.539624272743405,
      0.520788805277375,
      0.617777666668108,
      0.902549519748995,
      0.586642013152245,
      0.52207938383825,
      0.650873159834513,
      0.622660146427703,
      0.912061554738706,
      0.711747608365576,
      0.582734186671773,
      0.612236099723557,
      0.603770648818087,
      0.784707124777113,
      0.467858563777259,
      0.627309489822762,
      0.669838624626914,
      0.446420701514949,
      0.662089646348385,
      0.642992089243646,
      0.527489658805986,
      0.541054948419506,
      0.760779321587256,
      0.612213860857925,
      0.327386061433941,
      0.544782335461007,
      0.700190053272225,
      0.597235371899633,
      0.583376033465607,
      0.501091749853274,
      0.636948169028621,
      0.56356365993144,
      0.627692892479035,
      0.517894410720899,
      0.677452223954886,
      0.577554065182167,
      0.583898700825948,
      0.619814995661409,
      0.627635989496968,
      0.52905573219399,
      0.692825275796104,
      0.500844748867842,
      0.478211786309019,
      0.620591493098457,
      0.424301062750667,
      0.633467693644326,
      0.698585426469728,
      0.837369778073018,
      0.889904405560024,
      0.687058805201157,
      0.628144684502124,
      0.598179483989386,
      0.720976996795442,
      0.61498904685847,
      0.512272747196959,
      0.426791417307816,
      0.632360643680414,
      0.638140030008353,
      0.551699057566285,
      0.724590302195892,
      0.766276853171653,
      0.620122300752421,
      0.629623002378948,
      0.527880294852135,
      0.404113195616599,
      0.759778620946998,
      0.51220143185525,
      0.477034054489921,
      0.546511467383686,
      0.427734695743164,
      0.527142836194761,
      0.40363828855971,
      0.418225000657664,
      0,
      0.687586788789229,
      0.112814291163017,
      0.477510894992044,
      0.200310699063921,
      0.275955423946455,
      0.388122684333131,
      0.779226017180602,
      0.283880153519098,
      0.102231735741234,
      0.548981553389732,
      0.546460605154972,
      0.274550983543145,
      0.0699932044802991,
      0.352644718347718,
      0.213551826673882,
      0.07939427759041,
      0.336858383114092,
      0.363586967996285,
      0.293750526032025,
      0.189169702456699,
      0.188623276319826,
      0.280926864514977,
      0.196572420573273,
      0.293832469338836,
      0.481610596836564,
      0.361509063904271,
      0.261329859989381,
      0.170562963495807,
      0.0987681261512336,
      0.434425189643652,
      0.446697239376223,
      0.355917608905884,
      0.477800872392191,
      0.781860907245331,
      0.267045293704412,
      0.0820243143205052,
      0.626128021618548,
      0.348108942654763,
      0.121873853501198,
      0.0430595467083263,
      0.143559333079051,
      0.247653008462311,
      0.291159816303379,
      0.259096529569319,
      0.454485994756328,
      0.277582806977765,
      0.610135611350388,
      0.475009068660143,
      0.142595162518458,
      0.694627688015225,
      0.73790946051926,
      0.617735472201229,
      0.307363265586407,
      0.475703262243884,
      0.324676226716781,
      0.425268974258555,
      0.397611950761432,
      0.45514142172298,
      0.502507773470728,
      0.314259974280693,
      0.549854917712118,
      0.425962450817013,
      0.647414880539933,
      0.461123774395948,
      0.363286997067348,
      0.566612152012021,
      0.756249845244931,
      0.657466925766149,
      0.754998618509886,
      0.559079376370987,
      0.487079065172773,
      0.440374190405765,
      0.348233076236673,
      0.588157366610828,
      0.410479477310378,
      0.265283101567608,
      0.356517154393919,
      0.43262943461735,
      0.315463905704536,
      0.582409749185872,
      0.384638527019896,
      0.411826190785749,
      0.175200432556438,
      0.384177704514778,
      0.679478556531715,
      0.864347540702162,
      0.484304690584971,
      0.494358141244957,
      0.368924216362655,
      0.608637154928938,
      0.750952969996046,
      0.922537045633194,
      0.528752941828061,
      0.511674055412017,
      0.56005560057452,
      0.369745538842243,
      0.332861512501459,
      0.561241998156402,
      0.427678363003443,
      0.612897299927905,
      0.327221304462101,
      0.329634922706718,
      0.361925987873503,
      0.193514761765827,
      0.432793191770968,
      0.261669282778605,
      0.419398231929083,
      0.349675118562244,
      0.615881800191263,
      0.655909442241653,
      0.583941437500733,
      0.6539978162769,
      0.556911935784208,
      0.77554072776556,
      0.806187764915933,
      0.871106834681202,
      0.78191005418342,
      0.537110152708714,
      0.373391655994992,
      0.591354589677176,
      0.480436388374912,
      0.408721497039189,
      0.544888467820725,
      0.56154539816378,
      0.582729346688123,
      0.403049435597212,
      0.624813363061554,
      0.421704926853641,
      0.323977492243683,
      0.271035641769435,
      0.4271658173676,
      0.5831642336095,
      0.458616500006655,
      0.487154621403897,
      0.386656411970346,
      0.688881957061829,
      0.548388720370172,
      0.521879631741413,
      0.503301681836946,
      0.402155787751934,
      0.612798463483823,
      0.737096487808652,
      0.657348341453338,
      0.55507558517955,
      0.39512299305629,
      0.335877341297335,
      0.423865178869177,
      0.404176246558222,
      0.387541960367856,
      0.314288989775537,
      0.528618416228573,
      0.625105329547067,
      0.523353468338475,
      0.461658278930085,
      0.489650111494265,
      0.349668191381737,
      0.678320131623711,
      0.808519423523421,
      0.531891789104238,
      0.546257368172566,
      0.532516785236513,
      0.571325426872295,
      0.533971915367721,
      0.476117140698327,
      0.46422659785684,
      0.463558441678157,
      0.50633080493805,
      0.720635995826392,
      0.626813321637933,
      0.572428865598106,
      0.443902977371671,
      0.373045444358285,
      0.466044535285216,
      0.466839831212386,
      0.409031896491297,
      0.254053759269224,
      0.287774067138896,
      0.387548306110011,
      0.316487528450695,
      0.261837926096281,
      0.385296467167365,
      0.322808976884346,
      0.358613736123631,
      0.443796415994918,
      0.34853004828539,
      0.384681807156933,
      0.30799195799386,
      0.500455838955142,
      0.261202236531212,
      0.356349206358538,
      0.538993857501262,
      0.416840114179094,
      0.331659421044767,
      0.479768857661182,
      0.385627545031427,
      0.575294942451211,
      0.467638005042954,
      0.56078372742622,
      0.506320645154672,
      0.367982777661686,
      0.575355380108713,
      0.342881685479819,
      0.467221068985792,
      0.496036952751457,
      0.39666898315761,
      0.537651534299737,
      0.534803482192821,
      0.324277227364924,
      0.423572468322106,
      0.432731652275669,
      0.524608347572932,
      0.496871434955204,
      0.421711710511273,
      0.423185283025493,
      0.388959101429672,
      0.436778802421546,
      0.734358487727383,
      0.696821240044143,
      0.544441188027953,
      0.599790733270656,
      0.507037236903995,
      0.424965775232278,
      0.485550891546237,
      0.520583235160326,
      0.595104888901888,
      0.360239020375394,
      0.482206970155108,
      0.390894295022462,
      0.42310960445892,
      0.532942855342618,
      0.343145851693821,
      0.508347923274055,
      0.519429361889293,
      0.589133901554699,
      0.267834459351881,
      0.404266410917117,
      0.255163037300751,
      0.660308237323912,
      0.664175079611523,
      0.583856221391954,
      0.536831655428503,
      0.541609198063479,
      0.4616421964008,
      0.51806554154323,
      0.401034748054244,
      0.621209938760633,
      0.595494338845655,
      0.430861125721532,
      0.557113210381403,
      0.40870479854116,
      0.671496117893517,
      0.37222772758277,
      0.422761468204996,
      0.617156811548899,
      0.556319994479083,
      0.468198411299158,
      0.478416944466978,
      0.462239020258124,
      0.552689456489538,
      0.392384356698751,
      0.429147127299185,
      0.423985219705752,
      0.257599075876283,
      0.685975687138711,
      0.6420634820549,
      0.394299167859336,
      0.569118400722046,
      0.507953635421363,
      0.578336229824426,
      0.477834231238088,
      0.513980042330618,
      0.443323570309267,
      0.489781063768574,
      0.641442956813146,
      0.418832102642401,
      0.626236289013384,
      0.586593170106263,
      0.614508466876766,
      0.510064810735604,
      0.449214256868556,
      0.795683082662013,
      0.405191013990979,
      0.777133042785226,
      0.488206333876811,
      0.38202541573509,
      0.424688232066789,
      0.423208872751297,
      0.735308087608934,
      0.449969200527108,
      0.587836230430545,
      0.431372552630607,
      0.557909257259739,
      0.823936411168408,
      0.717404798919292,
      0.582476022851246,
      0.361453052143992,
      0.42940156704644,
      0.804857858814056,
      0.808290258713942,
      0.686671067104658,
      0.542038374939348,
      0.397990642662706,
      0.524223732045456,
      0.551030536450198,
      0.61448570276018,
      0.556105577148211,
      0.577102210175364,
      0.861156059182629,
      0.632151542959362,
      0.523680151709917,
      0.646824811666033,
      0.556414306367204,
      0.342416595972162,
      0.822912948917946,
      0.50360586489099,
      0.317893787290817,
      0.839796587804727,
      0.544795014939873,
      0.400783928640173,
      0.409684970691409,
      0.413752403258533,
      0.41589067036833,
      0.52839242835529,
      0.503472747867763,
      0.428065357610051,
      0.413858365111253,
      0.667321078382681,
      0.676797583727185,
      0.834242849731432,
      0.514808387191599,
      0.796111087639342,
      0.669885370230385,
      0.5981583585558,
      0.713014797941688,
      0.518588080882901,
      0.549253154286762,
      0.437990975114956,
      0.590929484906784,
      0.515686335020802,
      0.432701629773375,
      0.554874860773291,
      0.430153403955611,
      0.399775262949833,
      0.463317082127922,
      0.47569292549046,
      0.56343853460016,
      0.530065715643346,
      0.587243179605691,
      0.456853462063224,
      0.488188339804416,
      0.457190306755955,
      0.505072580191949,
      0.490018819192919,
      0.395362421641163,
      0.521482062939645,
      0.751982620602616,
      0.456511324190619,
      0.732244267122699,
      0.578375489947862,
      0.390096516243589,
      0.463955512850828,
      0.433145623734117,
      0.537514875448313,
      0.404917835667002,
      0.756051471238188,
      0.549791296606603,
      0.400510016390847,
      0.637337790796012,
      0.511034025219698,
      0.386474639930728,
      0.555368221858503,
      0.530496488923809,
      0.587792525650316,
      0.560743906807839,
      0.360860195506449,
      0.496292625212157,
      0.40851680468042,
      0.33706806222489,
      0.463019254894263,
      0.40828505605448,
      0.492327172297619,
      0.446889183370637,
      0.390114865436805,
      0.465783795660409,
      0.321523752982631,
      0.286668822846505,
      0.520867331628813,
      0.624045056316353,
      0.564746193467031,
      0.548985626533723,
      0.485237728198948,
      0.436278050690003,
      0.677692966936907,
      0.548695933214543,
      0.550212974843419,
      0.656526152757931,
      0.573895458120334,
      0.538162008923639,
      0.295065160845514,
      0.694524125284152,
      0.444590370082763,
      0.494112279784862,
      0.67023801044836,
      0.449081567193266,
      0.603205466264466,
      0.546382267605947,
      0.526564512660683,
      0.544804778581366,
      0.448148380007281,
      0.687779854457853,
      0.472156375583976,
      0.525347656319501,
      0.427106666619352,
      0.445003273528624,
      0.586568469219616,
      0.538161235140095,
      0.515164202456553,
      0.795566023447069,
      0.554564848572042,
      0.559805307707651,
      0.435907108782449,
      0.424924949080353,
      0.885554590839129,
      0.467489476851955,
      0.826886558236856,
      0.546722393412813,
      0.569289679091129,
      0.669256508593801,
      0.715066495030054,
      0.923775545320483,
      0.596488130659294,
      0.52432344838178,
      0.48688703182827,
      0.689902000164402,
      0.920797916699695,
      0.761213131000453,
      0.493769693586906,
      0.489477969068218,
      0.786502956505697,
      0.571081362035004,
      0.509949568622743,
      0.590916047134781,
      0.615151348662963,
      0.469349478426532,
      0.423497771150896,
      0.464780161345874,
      0.504902983428761,
      0.465434025367327,
      0.696471150136802,
      0.568609923024615,
      0.307265452123472,
      0.52172830300751,
      0.55573105436719,
      0.540728432983756,
      0.645314894933234,
      0.566903494302683,
      0.549821051580376,
      0.443903928249119,
      0.694993446231568,
      0.445590063272912,
      0.474213901289563,
      0.566349968719874,
      0.521987711332786,
      0.521449515091045,
      0.663849686850481,
      0.614402137526869,
      0.637860562805799,
      0.749229269402564,
      0.468901371279287,
      0.621411132926895,
      0.456560996050542,
      0.620779602613131,
      0.733097093044699,
      0.862111173176671,
      0.6769570047389,
      0.536774078529486,
      0.626663124735898,
      0.594422273241511,
      0.539019438386908,
      0.561519634897132,
      0.495017855529689,
      0.472928495568261,
      0.661639606927294,
      0.561167953724011,
      0.418583741014431,
      0.886183982898449,
      0.68923200810591,
      0.597490616274537,
      0.558863781598838,
      0.474999579780149,
      0.625563326923876,
      0.794179314443312,
      0.558730257496403,
      0.379783627352668,
      0.483657511871494,
      0.441026573876987,
      0.46056483590506,
      0.289068259992092,
      0.414520211182412,
      0,
      0.353936713589985,
      0.312804842636805,
      0.67793612090199,
      0.195924876306379,
      0.304451786585344,
      0.243506857682449,
      0.563815764159373,
      0.424144155622791,
      0.0970498605066517,
      0.618949421539788,
      0.305115609166606,
      0.365636358685711,
      0.0299048730615772,
      0.298754634010372,
      0.233093683220936,
      0.146196503480572,
      0.327879750107672,
      0.356173902376,
      0.163325828701054,
      0.18716935237395,
      0.177888803344915,
      0.301304265351997,
      0.256908264580789,
      0.32794865643765,
      0.476811149896249,
      0.426494037332122,
      0.52188434698129,
      0.217913977811655,
      0.0763247737251985,
      0.418725923907295,
      0.353124747872099,
      0.341524382132549,
      0.538627928820767,
      0.695972908447693,
      0.421935766669075,
      0.0798508156382347,
      0.575782103722104,
      0.200578916045987,
      0.316219494915635,
      0.200040931096404,
      0.133358029225145,
      0.111675495124559,
      0.458840274826436,
      0.266890057676687,
      0.286703201974551,
      0.23689056378937,
      0.519536983633597,
      0.338011852058382,
      0.104032945120176,
      0.450612179069973,
      0.515827772163471,
      0.647539674835265,
      0.260259027123187,
      0.384642197606974,
      0.305304717750718,
      0.414494737362852,
      0.44012810338789,
      0.433581323479544,
      0.537703605243223,
      0.48681598260333,
      0.590251838081178,
      0.641786587863602,
      0.598204646709724,
      0.585859474881116,
      0.497847554634991,
      0.84301032017701,
      0.578232422500386,
      0.831848272458396,
      0.486049559485346,
      0.550844592257681,
      0.354174013437821,
      0.457698570203521,
      0.265105570701051,
      0.358379726824558,
      0.430835385878137,
      0.230331656121557,
      0.343510779688549,
      0.431317601810605,
      0.294943214615882,
      0.553470536697254,
      0.654599996875911,
      0.409461405899018,
      0.211718308179469,
      0.329170073034205,
      0.591933353963494,
      0.694945751574361,
      0.341935289373478,
      0.569943602600905,
      0.286828465142246,
      0.612487615237818,
      0.447205029115401,
      0.868613733797683,
      0.580990780599856,
      0.810552896285778,
      0.661982556009797,
      0.384052245327225,
      0.417600334737993,
      0.499837805391145,
      0.284316860522685,
      0.586835618900947,
      0.256068296538196,
      0.31891507190764,
      0.233892558119601,
      0.424008874588331,
      0.442323612019507,
      0.267743217975829,
      0.481188225307125,
      0.35072278762232,
      0.464872361245395,
      0.660879875762168,
      0.447393433302999,
      0.515598586921613,
      0.406990885061937,
      0.578044141148161,
      0.63555161186625,
      0.578121869543198,
      0.615875242473215,
      0.542403723939792,
      0.348810560994742,
      0.659312743571083,
      0.457065401046536,
      0.41724532431433,
      0.573958988108324,
      0.401576640180823,
      0.614144172916581,
      0.620656776816188,
      0.544757641511866,
      0.473564117594218,
      0.457670422767846,
      0.392014756292781,
      0.510483291598489,
      0.551005958103843,
      0.510097370201405,
      0.454739289024141,
      0.375427119915789,
      0.63833045314364,
      0.693599634713321,
      0.458522782563313,
      0.635895473035937,
      0.443623653702958,
      0.598782641730753,
      0.806432636077555,
      0.535695959453906,
      0.580371580494008,
      0.604552210053682,
      0.38335699189892,
      0.44485197735521,
      0.41919966041777,
      0.465868726571496,
      0.564743440197379,
      0.494386365423173,
      0.677256250633818,
      0.727353779875225,
      0.589546765916178,
      0.448424692757568,
      0.417363363702619,
      0.665023308831455,
      0.809840359643592,
      0.461944770567054,
      0.4500865834373,
      0.389878995651229,
      0.446424581934538,
      0.542049523701037,
      0.673076635080483,
      0.45816094318907,
      0.482061223526909,
      0.505419459466929,
      0.625367723182341,
      0.539938570116928,
      0.566948626067537,
      0.36950323026262,
      0.408564002157501,
      0.442413968620991,
      0.424855935892059,
      0.367159736654224,
      0.268620611290253,
      0.287840891022359,
      0.311516979386183,
      0.400278933252918,
      0.246971561580282,
      0.372283460478748,
      0.343822722253018,
      0.329807083923081,
      0.553758823745346,
      0.326125373679986,
      0.525185194853446,
      0.416605699411169,
      0.415875908486734,
      0.287305643509751,
      0.28520760628985,
      0.411974712014851,
      0.311982790048755,
      0.376000191178631,
      0.417445427107911,
      0.24406328589962,
      0.633577672826937,
      0.366794402086365,
      0.60373475638128,
      0.427249552978664,
      0.302961891740635,
      0.682499060722217,
      0.34604832398999,
      0.472638555809354,
      0.369025996119286,
      0.523655259098614,
      0.541283709306007,
      0.514063528197007,
      0.394021417866137,
      0.511740042712546,
      0.439117016559613,
      0.442988990235429,
      0.613735064289224,
      0.452851528293358,
      0.452374204946909,
      0.458397057999973,
      0.411898169391004,
      0.643541021382318,
      0.51277827932548,
      0.52824539425937,
      0.465238882889395,
      0.422783057783661,
      0.425700179653561,
      0.513810472315025,
      0.478668768870383,
      0.562546043005317,
      0.411717958229025,
      0.382602667757654,
      0.406924132342985,
      0.493673939990467,
      0.478089214861385,
      0.575962718961997,
      0.487303765285268,
      0.467370437192435,
      0.587716659693802,
      0.35514339985907,
      0.469591261643973,
      0.316057651031056,
      0.444461083929104,
      0.560545731520843,
      0.46467248891488,
      0.491948276688978,
      0.487611145653695,
      0.499044811646881,
      0.559636723483067,
      0.445040068361688,
      0.437162192793953,
      0.633487398177824,
      0.523525415265245,
      0.527668375889943,
      0.480594212986324,
      0.687257001308144,
      0.451795328142421,
      0.352566754332807,
      0.605013870926103,
      0.505147358923811,
      0.423333022004282,
      0.613970785664099,
      0.300224165247996,
      0.483758608436721,
      0.406744399583549,
      0.534794013102132,
      0.475113210053925,
      0.434733692528885,
      0.647875008421078,
      0.461605608924895,
      0.497490760896427,
      0.594077207377303,
      0.535911070998064,
      0.52786999506706,
      0.535132999540181,
      0.481222109220932,
      0.437092644608121,
      0.427860434200964,
      0.613445039376158,
      0.489157917660407,
      0.5826768017811,
      0.578124565772059,
      0.568588994344095,
      0.609924242990829,
      0.735881461126893,
      0.650185527891118,
      0.710735848888219,
      0.698327624662071,
      0.607250721920707,
      0.308210251062591,
      0.440618475178185,
      0.479270137401719,
      0.398219391021978,
      0.441083326948863,
      0.431418442161306,
      0.530063424163887,
      0.711588244394011,
      0.5453071127838,
      0.871280806942315,
      0.592439893081208,
      0.494013995763505,
      0.508307313208651,
      0.751763862468024,
      0.780772378506102,
      0.583651571825194,
      0.554725018799124,
      0.369131843763094,
      0.38212710136375,
      0.590144709256465,
      0.6188017594272,
      0.492421662466491,
      0.851405132772104,
      0.720515365836901,
      0.85260991560426,
      0.548978050305891,
      0.627710486660067,
      0.650326742649804,
      0.375128279404364,
      0.513805796727676,
      0.525649642790127,
      0.327051542774094,
      0.863725811719492,
      0.71811229778875,
      0.458375908230111,
      0.334031028893215,
      0.414238897098548,
      0.398981496749872,
      0.442441150033925,
      0.451094759118292,
      0.408308691707251,
      0.427867794276662,
      0.579055975110017,
      0.509506045089066,
      0.564502507229675,
      0.48832029578436,
      0.887901526996275,
      0.781658832747939,
      0.516767389318512,
      0.822428391968691,
      0.492091841533598,
      0.592824200550033,
      0.393283566214903,
      0.530835858431731,
      0.440771900721796,
      0.567674714338188,
      0.605669410637971,
      0.547945053539151,
      0.446979563333012,
      0.44552512922725,
      0.425495386894555,
      0.597578583564189,
      0.390499603897788,
      0.634287852906201,
      0.572990463075203,
      0.507612151738117,
      0.585248295859613,
      0.508238723300906,
      0.606806197247536,
      0.465821174389623,
      0.557059912341272,
      0.655866873572852,
      0.537137990640646,
      0.703158484163054,
      0.518921687072295,
      0.463543214304692,
      0.545121514924157,
      0.522859338770208,
      0.575259392103014,
      0.527485587670235,
      0.747871404761101,
      0.479549290193044,
      0.550303363734674,
      0.613709282198422,
      0.510507158191412,
      0.391993964237973,
      0.488437292039181,
      0.3975134899056,
      0.66235305076749,
      0.643098752394849,
      0.309361896105355,
      0.451309874287719,
      0.369121131707479,
      0.384078631498872,
      0.430675920001544,
      0.434571650732874,
      0.42056573866855,
      0.301755422594244,
      0.450872467749752,
      0.547004630316979,
      0.540259447025615,
      0.357887088571895,
      0.477061762796808,
      0.425307964793124,
      0.487399507679761,
      0.49719918963227,
      0.414822363607583,
      0.431082023910848,
      0.417120140087945,
      0.543551845632739,
      0.546346788253305,
      0.525215235086338,
      0.565852539459986,
      0.551833506209002,
      0.309826537615241,
      0.655331332742579,
      0.381506990876125,
      0.449033063128299,
      0.505624958764207,
      0.426103414323232,
      0.595990814026653,
      0.50129019079672,
      0.551834087667807,
      0.525150765653225,
      0.470047491699282,
      0.613497403892749,
      0.491444988556439,
      0.596895017947457,
      0.51315340789162,
      0.5272597266402,
      0.771524556218885,
      0.521106115471099,
      0.489607198422562,
      0.796008464160112,
      0.456115471800637,
      0.630592291066705,
      0.625807696517459,
      0.615653176570885,
      0.838789735025974,
      0.507811278435348,
      0.749300990513405,
      0.545206706665404,
      0.527827859745337,
      0.891345137318328,
      0.770943133224567,
      0.818428405678592,
      0.58235800230583,
      0.518056598059019,
      0.398698585200305,
      0.909868622275589,
      0.715729235528733,
      0.797952492663746,
      0.469979809239233,
      0.511684848320407,
      0.73933059411213,
      0.525620711193183,
      0.508587682398572,
      0.579756869783577,
      0.648359725685228,
      0.483730557047291,
      0.529297673581563,
      0.38974618545328,
      0.599004704504478,
      0.692002832043485,
      0.603020391221414,
      0.308414208502855,
      0.380022731775284,
      0.498071280166199,
      0.462744541688741,
      0.489631895468412,
      0.553489517943897,
      0.617463023331046,
      0.570921009672796,
      0.466813046665754,
      0.761596326973224,
      0.407324587056368,
      0.402544428545137,
      0.703529448178496,
      0.811610368777222,
      0.440708863781947,
      0.629515308714912,
      0.624204116448274,
      0.508809107255745,
      0.896633455638487,
      0.484019184605919,
      0.600514392972564,
      0.363814060130794,
      0.592957443947662,
      0.769207848943339,
      0.814005814016292,
      0.541399314757539,
      0.334597171611968,
      0.532165388682316,
      0.619333737725565,
      0.577899929546343,
      0.603209456822414,
      0.467634468385416,
      0.338173606213715,
      0.622664418846567,
      0.46543577902927,
      0.441960407231968,
      0.872916555382601,
      0.670600630622899,
      0.579658225158897,
      0.491941823775886,
      0.427798165984056,
      0.724639521006678,
      0.610298881867235,
      0.592775290448612,
      0.280213247676745,
      0.373804033321819,
      0.395143596082355,
      0.51736598066853,
      0.254579361519133,
      0.439976664341968,
      0,
      0.212579870834123,
      0.38771224476936,
      0.660862965164023,
      0.229747463367821,
      0.341465691953247,
      0.211067546891827,
      0.305590851872125,
      0.471281486237172,
      0.195537096867185,
      0.55583367180746,
      0.289928988325464,
      0.38976095614026,
      0,
      0.265793022120477,
      0.2622847857441,
      0.3765048503812,
      0.325420555913471,
      0.322493219443479,
      0.144711779591485,
      0.254520518358854,
      0.35827987977851,
      0.327988323414858,
      0.312824139252464,
      0.325897161251755,
      0.430984500370226,
      0.54536737832119,
      0.65647315268774,
      0.347941087269934,
      0.180004857336383,
      0.426177057280147,
      0.363035156441765,
      0.355459105542115,
      0.507880934145108,
      0.460630664972297,
      0.54570274745445,
      0.10091321876506,
      0.703209042275019,
      0.303976798116682,
      0.558641492291213,
      0.56087818982153,
      0.336612707874023,
      0.19811843629498,
      0.486655802135181,
      0.288399687239596,
      0.353882860417589,
      0.253378848472759,
      0.448006667129069,
      0.411480248292392,
      0.136954864637521,
      0.305277560149622,
      0.431771555692084,
      0.599799995455924,
      0.395621876905212,
      0.448509503727998,
      0.432414102066492,
      0.441400291524616,
      0.496794304514984,
      0.511054568867619,
      0.627054277119737,
      0.598224491625974,
      0.612735670469715,
      0.72576159539105,
      0.645067516432879,
      0.676585788310512,
      0.587616858133812,
      0.888106657040537,
      0.59449594948435,
      0.896405406172657,
      0.522916003639836,
      0.511621881765893,
      0.421490617965249,
      0.410385611412208,
      0.163559169699296,
      0.405156660121578,
      0.428086199510976,
      0.245314820477519,
      0.288950454312887,
      0.338597319378032,
      0.291462145671356,
      0.473202705796255,
      0.735705840937875,
      0.476708273916099,
      0.229039292035469,
      0.255974983901606,
      0.564537303658938,
      0.491274908364512,
      0.443567893701334,
      0.749287884891195,
      0.365990264571415,
      0.565896280763758,
      0.369648486485577,
      0.608120010187836,
      0.64313725769668,
      0.865772031175932,
      0.664972726266555,
      0.50091227715874,
      0.537728035652628,
      0.509433364053649,
      0.35409494178166,
      0.486438866601423,
      0.22277652788405,
      0.381381412587914,
      0.320744123436934,
      0.604776250692617,
      0.434180455794407,
      0.545071292304068,
      0.564517635110327,
      0.435966756367133,
      0.563857074293965,
      0.556372365044359,
      0.523464613443296,
      0.611755432081018,
      0.504999789433681,
      0.674587918497736,
      0.685922056290066,
      0.484976550601588,
      0.652303140725179,
      0.659790069605698,
      0.405560471363851,
      0.679885384902123,
      0.3950845909281,
      0.33175696189389,
      0.609614739473305,
      0.486892083220386,
      0.590247817063903,
      0.648908868929828,
      0.65092628366634,
      0.480526330994438,
      0.438293170930139,
      0.332945760732085,
      0.685450484717186,
      0.542551022551115,
      0.56990158172434,
      0.64738094817176,
      0.41559505567376,
      0.595995160919229,
      0.738805018796853,
      0.46980048977019,
      0.704080936881327,
      0.490313154780513,
      0.641399807965086,
      0.777265756002923,
      0.447400357064957,
      0.663937357516207,
      0.769978643812347,
      0.403332667044691,
      0.510266662858813,
      0.362182858000302,
      0.497523856325606,
      0.632431703527319,
      0.436497882276145,
      0.611001529049255,
      0.75558848509922,
      0.659046403759319,
      0.415659858984639,
      0.442676401972966,
      0.56023992418461,
      0.750866790739323,
      0.553795941235974,
      0.469521328110267,
      0.383673145796299,
      0.622393263834054,
      0.591692384033931,
      0.771285687311732,
      0.724119575374628,
      0.632869659865051,
      0.548393062906586,
      0.621991537086286,
      0.621087965311177,
      0.498952305905028,
      0.40197439617794,
      0.413045269819082,
      0.519979510228482,
      0.396377121793515,
      0.317172164322181,
      0.303251223423985,
      0.295497148126367,
      0.279065865740841,
      0.414360018971359,
      0.360115857877042,
      0.368750116680264,
      0.583282457749817,
      0.366196140213559,
      0.730774486760008,
      0.309714706360153,
      0.501566597467088,
      0.359987102885295,
      0.383370548173489,
      0.287246663085893,
      0.305039491010726,
      0.381434406528357,
      0.371201516623139,
      0.552249393526231,
      0.458533395431549,
      0.292130730749255,
      0.661457285765535,
      0.402500336163971,
      0.672978063532201,
      0.53564966333567,
      0.372074486568286,
      0.660526926693881,
      0.321797561161517,
      0.573530758873313,
      0.42530307705829,
      0.5616881805429,
      0.482052713015234,
      0.477284129639596,
      0.385524473860978,
      0.474389646194559,
      0.367141412267429,
      0.464688773271066,
      0.646956737864551,
      0.627184363562596,
      0.435738417670264,
      0.747461537412248,
      0.526274721943635,
      0.580788128259732,
      0.534639784102195,
      0.562012579005492,
      0.560070471291127,
      0.46516174932563,
      0.567597355538314,
      0.492886678063228,
      0.548431133088114,
      0.366494476805711,
      0.433247017418275,
      0.414470723390505,
      0.48824819232858,
      0.584915250455797,
      0.525830151572433,
      0.795498392103082,
      0.578697289186877,
      0.458116520004543,
      0.527891606707144,
      0.37576755762427,
      0.523575080162109,
      0.424939720292624,
      0.525579699403174,
      0.561089323545119,
      0.553253210192905,
      0.379093188007602,
      0.496822391681736,
      0.600674158882188,
      0.637698646322913,
      0.568567975262481,
      0.522146723760561,
      0.498986269196625,
      0.624491809082534,
      0.54882625171282,
      0.508821366854574,
      0.507143474161897,
      0.479043026466713,
      0.375152641570743,
      0.631942914801413,
      0.590902086419143,
      0.341401765961762,
      0.576040766527525,
      0.291289272871583,
      0.50968698288156,
      0.501180220404319,
      0.621530820797496,
      0.619865703666598,
      0.574040491893328,
      0.603024482851283,
      0.461983779069472,
      0.559378043042642,
      0.598253496653586,
      0.706703490585142,
      0.622535726018493,
      0.651229299419317,
      0.621482863213455,
      0.506412368526355,
      0.608953752118826,
      0.510712259911869,
      0.677729435772736,
      0.61812608350621,
      0.543399625414193,
      0.645336353732756,
      0.703371465481658,
      0.803997796094736,
      0.697884084164265,
      0.768972325073572,
      0.755471995344582,
      0.618714525205309,
      0.402742517703696,
      0.607072548038128,
      0.451916308427542,
      0.351225646073999,
      0.597362674751571,
      0.449637954200663,
      0.580191511174257,
      0.782686912896223,
      0.377899223827524,
      0.835121305291948,
      0.657838373273838,
      0.686684090996502,
      0.510837824933313,
      0.736078492787992,
      0.66096203298121,
      0.645717959266206,
      0.606133422965651,
      0.575908386212669,
      0.468293473307921,
      0.61045459649182,
      0.527248050497767,
      0.450307345404095,
      0.942116851842099,
      0.605577373359795,
      0.936765458915714,
      0.693997782642798,
      0.573732730753317,
      0.618241988299335,
      0.412988409720844,
      0.421770760748183,
      0.535166502997177,
      0.318558175065188,
      0.748770944379951,
      0.810084355843792,
      0.509751307059752,
      0.522111324065418,
      0.489366212912636,
      0.411968631880991,
      0.467108303638133,
      0.543320627920759,
      0.356865370175027,
      0.488099691019082,
      0.720417355051937,
      0.610910864768942,
      0.63773380287578,
      0.5191298534988,
      0.889204280178893,
      0.804251011964355,
      0.672347066239908,
      0.912563378648015,
      0.470488436618813,
      0.679182638620174,
      0.506032167242084,
      0.568933367795944,
      0.46827321692011,
      0.6386668957977,
      0.653759351454068,
      0.624642801809044,
      0.421135879135645,
      0.395478006634217,
      0.609398649112988,
      0.684251676388191,
      0.440041313290137,
      0.65265016553067,
      0.720181389287635,
      0.504731333197259,
      0.672278004670058,
      0.607844839930223,
      0.680627281051294,
      0.578700966113797,
      0.639417675147611,
      0.697831941047556,
      0.503508664958039,
      0.636100275183516,
      0.64390302913862,
      0.529069382966145,
      0.62801183177905,
      0.559194008632956,
      0.657909264839498,
      0.680627144941356,
      0.705483524684989,
      0.514810108018284,
      0.579062521956627,
      0.609398323551261,
      0.536861919477589,
      0.416730158132099,
      0.411858744546733,
      0.393036215389024,
      0.683382535692841,
      0.644704214874802,
      0.369786124575016,
      0.630341437070943,
      0.612161568938449,
      0.593244784395459,
      0.547084532800413,
      0.583938065610033,
      0.431676429701729,
      0.351926757942875,
      0.544246128158702,
      0.659945653774637,
      0.676604174833188,
      0.337237926911856,
      0.486374280804724,
      0.425373326250619,
      0.477393565094791,
      0.570090881008106,
      0.554225853795493,
      0.567623658622384,
      0.677898154881142,
      0.556169652819115,
      0.517940360558962,
      0.576251014427311,
      0.636391926327647,
      0.484083536589683,
      0.37431005699652,
      0.588310143827723,
      0.407414692148788,
      0.447603429538084,
      0.388060223127813,
      0.586913910724531,
      0.605519519161505,
      0.585841420329581,
      0.696526581827249,
      0.637650563300099,
      0.62307235205649,
      0.704897893806491,
      0.54302562608704,
      0.672698652123088,
      0.647024295937812,
      0.509432686606825,
      0.90076764040088,
      0.651577386326375,
      0.485044693816631,
      0.78353459072053,
      0.466057386073984,
      0.619976277407221,
      0.671413699377599,
      0.618792570787483,
      0.618052505286485,
      0.666434231957767,
      0.592745362925031,
      0.682946696367123,
      0.616944963287441,
      0.917342882619699,
      0.85495017536228,
      0.672504931608032,
      0.515184887995674,
      0.636188811028245,
      0.490579127759033,
      0.904526940540427,
      0.462251480412209,
      0.747497974468915,
      0.507617318337394,
      0.502543849856457,
      0.6457316972976,
      0.630840333138626,
      0.539824689493678,
      0.667431264866908,
      0.592711108035533,
      0.399718045755319,
      0.631546319424968,
      0.352783728992395,
      0.655223133944778,
      0.776615452752014,
      0.61830110554283,
      0.423740038723198,
      0.391294528856561,
      0.552643693513654,
      0.676499901719998,
      0.518310202722558,
      0.557817245283512,
      0.792941838288705,
      0.603128046677277,
      0.518783877548085,
      0.809622687288501,
      0.472351074460659,
      0.530155623499402,
      0.733804263444665,
      0.868034439721184,
      0.527597016670793,
      0.56618905107854,
      0.745328606625298,
      0.522034214098625,
      0.86220890888524,
      0.536261132281365,
      0.651796679680626,
      0.362852948891242,
      0.665342445412821,
      0.808930109336463,
      0.710294982841786,
      0.49509283284757,
      0.446908476960991,
      0.475339944136654,
      0.6056119548013,
      0.494810570240193,
      0.746811606383122,
      0.502484002258,
      0.33789821095353,
      0.587880726589025,
      0.546470450380432,
      0.502683665205038,
      0.749335681436942,
      0.744771937714585,
      0.562179481547543,
      0.431313260019522,
      0.337997432219563,
      0.605782736510303,
      0.474305986761928,
      0.612999061753147,
      0.378033893035768,
      0.381160696538827,
      0.415204878405916,
      0.541692689685037,
      0.252630823087766,
      0.497744223561541,
      0,
      0.176680079151715,
      0.313676079186405,
      0.36013251492475,
      0.142271210697107,
      0.336844782453547,
      0.16870116305083,
      0.356378923623448,
      0.34606861019724,
      0.309734186227697,
      0.411203863142862,
      0.355374339674531,
      0.227298823866616,
      0,
      0.205292373807465,
      0.319203269314534,
      0.505112767273124,
      0.450092668002012,
      0.265958432740065,
      0.158308846907653,
      0.236340533731753,
      0.319115820290521,
      0.205365986358581,
      0.260761919858597,
      0.41401138867826,
      0.389976332741659,
      0.496705757193035,
      0.574403543670617,
      0.425742256115259,
      0.188808454263362,
      0.453779570381733,
      0.305753591335991,
      0.418943990322103,
      0.340268006131812,
      0.338600456151256,
      0.454165256238406,
      0.101833327345118,
      0.621905546704886,
      0.382471894298659,
      0.591477137784537,
      0.570488673265168,
      0.332857417385611,
      0.265896826521115,
      0.33997725084736,
      0.533991284958685,
      0.333841599466945,
      0.287344782496811,
      0.424827161589703,
      0.353209055723383,
      0.554460186975586,
      0.490922853827958,
      0.481275552719005,
      0.670467049454751,
      0.325022988946937,
      0.386933471753244,
      0.360401010698584,
      0.443986862521879,
      0.393184017851612,
      0.393176477906547,
      0.511153025098039,
      0.494323619939209,
      0.589061133297873,
      0.596614871978926,
      0.555773100678337,
      0.611252625625266,
      0.485090257337671,
      0.714792779249512,
      0.550932721722722,
      0.754934181096488,
      0.476387111009174,
      0.508359612754927,
      0.481621101236448,
      0.404568277629452,
      0.243605742352596,
      0.355606714664974,
      0.471502158248418,
      0.246526914668122,
      0.301892106805442,
      0.36911042036736,
      0.299455229404144,
      0.498451061558514,
      0.616070658825974,
      0.587916313507142,
      0.126602172832328,
      0.216461891567877,
      0.544142033966114,
      0.44273893104253,
      0.399922971904904,
      0.710795409738888,
      0.320094557348025,
      0.581036989641866,
      0.418593598699858,
      0.470241923717366,
      0.803195179809833,
      0.703785871446015,
      0.675559711358209,
      0.510299732786667,
      0.468153394116883,
      0.514785457154269,
      0.37320040382381,
      0.515000927359201,
      0.197848680607863,
      0.488180786869706,
      0.357808145881919,
      0.555404135426784,
      0.411055487663187,
      0.651789333407316,
      0.488171996475788,
      0.505518804818984,
      0.460165441567573,
      0.580435877972563,
      0.390721522638842,
      0.559326501840482,
      0.506834673375142,
      0.595236460880347,
      0.61283340746019,
      0.507898124021636,
      0.569485160689675,
      0.653124248766743,
      0.357523034767054,
      0.625606065764134,
      0.41559335554709,
      0.340371485297388,
      0.645449751136107,
      0.468941399721767,
      0.560059319802932,
      0.451268902557393,
      0.560856404867762,
      0.408463412968062,
      0.406105458630167,
      0.230309401043775,
      0.651806462413158,
      0.434698290885432,
      0.482180719877885,
      0.710317531800129,
      0.411398939733768,
      0.499499789253533,
      0.603510167526079,
      0.425468994835157,
      0.60877215738879,
      0.448567546039835,
      0.555879630928911,
      0.561659227463036,
      0.48983673864746,
      0.594490791941871,
      0.727834869386676,
      0.316918532052319,
      0.572572002273214,
      0.283284073723526,
      0.577553986383111,
      0.667506704308044,
      0.438706930917097,
      0.55322485783319,
      0.592384568633228,
      0.549486063800468,
      0.382807721427303,
      0.47114489525685,
      0.535869546527567,
      0.684822101847352,
      0.499472488379237,
      0.409135782796162,
      0.355953172638228,
      0.664332979901267,
      0.55404669800031,
      0.687285019353292,
      0.877861364718,
      0.564206771006061,
      0.517363194222659,
      0.660360844108385,
      0.512236258974612,
      0.547397243405354,
      0.380748359025144,
      0.382029815793586,
      0.477811709576832,
      0.404601079119165,
      0.292558829443277,
      0.287688974727538,
      0.271299769260999,
      0.269489843502796,
      0.40948244882859,
      0.327456921066052,
      0.376684017496503,
      0.607397323797744,
      0.337773546430805,
      0.697179784455094,
      0.253231888675867,
      0.421792129611319,
      0.238959140958498,
      0.432935714357957,
      0.291197531159585,
      0.343318145170525,
      0.417726043061887,
      0.351361210661277,
      0.497231183283397,
      0.456283480816326,
      0.26771516355985,
      0.629762207344111,
      0.414090295174708,
      0.672824440430227,
      0.480153800355492,
      0.664535196196511,
      0.539618378952112,
      0.308988673865747,
      0.497588257559795,
      0.466943310561299,
      0.498994496282913,
      0.573976861397381,
      0.429769504351136,
      0.312209835834782,
      0.404815276760906,
      0.412910662988755,
      0.458553913664345,
      0.600275493775402,
      0.576454929236813,
      0.446830724638113,
      0.7343577880783,
      0.571361266807913,
      0.567715652292745,
      0.451618207969091,
      0.490500511637249,
      0.52201882243741,
      0.491007605396319,
      0.518915622549158,
      0.474764961669705,
      0.514560247414474,
      0.59520355226127,
      0.372919736836358,
      0.486797793453943,
      0.408899279286824,
      0.587673528858729,
      0.642203124594252,
      0.755163732166264,
      0.523074164482525,
      0.406724972607035,
      0.505505989094392,
      0.452656825982695,
      0.506730838680115,
      0.349460843392976,
      0.4738037986435,
      0.505695272570267,
      0.514690976628699,
      0.442944467413775,
      0.4876983126467,
      0.504597332299219,
      0.596636333312882,
      0.527846138704745,
      0.534646667603198,
      0.381496267447443,
      0.708755554674363,
      0.581013582535165,
      0.520891273587414,
      0.461477408012348,
      0.474312663294055,
      0.349674251922493,
      0.592032915818953,
      0.678810021068011,
      0.36136850170191,
      0.411179998785383,
      0.276211716046631,
      0.463474095904995,
      0.432443913996298,
      0.593862769818155,
      0.565840078345748,
      0.505398029586046,
      0.553036530870604,
      0.608214670507492,
      0.541870793483585,
      0.529787159008548,
      0.667926213021032,
      0.553820449103072,
      0.589118486531523,
      0.586150717728033,
      0.526018409543666,
      0.592029632225912,
      0.54259736893506,
      0.665893516827464,
      0.584881321434697,
      0.508374857645365,
      0.570610481414365,
      0.616627150825074,
      0.702209591520737,
      0.589625002706538,
      0.627661544618633,
      0.637788800509203,
      0.523488954410661,
      0.42945785586077,
      0.563950321072949,
      0.525008697612011,
      0.414791569947521,
      0.54772704835632,
      0.458436292702223,
      0.463153393256351,
      0.654266598469898,
      0.411808955567118,
      0.72484027643591,
      0.794403992682294,
      0.638370976382666,
      0.453845268623594,
      0.780086367577077,
      0.496136136204468,
      0.57807995448002,
      0.624452839558797,
      0.590408503920598,
      0.412632215420079,
      0.622856108518266,
      0.52779676006768,
      0.490609612181335,
      0.822455815903551,
      0.542338941038712,
      0.826891175405493,
      0.911502844541086,
      0.596436720202266,
      0.525292688161297,
      0.448192830153633,
      0.397918571026074,
      0.428084044922981,
      0.31950947913831,
      0.542535497340535,
      0.798155351828038,
      0.504900470416636,
      0.50471698440077,
      0.495882544041325,
      0.494481434454121,
      0.482163962896249,
      0.545071728435424,
      0.352165662878685,
      0.457496084592454,
      0.737064866962091,
      0.544739534966173,
      0.574872558498472,
      0.550183923279472,
      0.716475822799443,
      0.726844986699059,
      0.703561499378997,
      0.854493627737454,
      0.407731921896415,
      0.573286153585316,
      0.504124506192962,
      0.571226893156012,
      0.458367830759497,
      0.517940458902623,
      0.695457609836387,
      0.548323412285873,
      0.475725707947487,
      0.353197792413123,
      0.580669690968071,
      0.626424627863274,
      0.660342123743095,
      0.568359837101083,
      0.71159226382285,
      0.529220830657476,
      0.619587655453679,
      0.512363640566011,
      0.617077306336095,
      0.599454171919704,
      0.553063396430937,
      0.57842121097665,
      0.496901073089176,
      0.589638466432286,
      0.590556586420279,
      0.443591294305325,
      0.52626354919015,
      0.448295458265377,
      0.667085588295328,
      0.607879784987318,
      0.617924455776695,
      0.496445132127524,
      0.444990473255313,
      0.569938218095668,
      0.452192442255664,
      0.576219243251291,
      0.443216742339084,
      0.369996758127477,
      0.648497035782797,
      0.630863177559052,
      0.418501980297728,
      0.661331079794508,
      0.641275412684233,
      0.56392573973564,
      0.495819389551495,
      0.54001163040244,
      0.482181690550305,
      0.305895353844161,
      0.466764658063658,
      0.711652361722147,
      0.598109537736981,
      0.447749918157135,
      0.555266724797698,
      0.466983740137022,
      0.473319335471448,
      0.631086913368148,
      0.537557929530443,
      0.557158132984644,
      0.86818457745633,
      0.531243820632243,
      0.535837293599342,
      0.594182715855117,
      0.596978422361908,
      0.477209545425626,
      0.523771113954692,
      0.636408231991167,
      0.523781936345732,
      0.441774666909512,
      0.483556207455065,
      0.543494585195357,
      0.566935696653599,
      0.561240364719456,
      0.628187389610632,
      0.606122570652721,
      0.742988209561049,
      0.775780640334841,
      0.485545919360957,
      0.612737694983759,
      0.676052343382494,
      0.493537314562543,
      0.819910425791805,
      0.709275755889778,
      0.485404499357126,
      0.665263510871841,
      0.399466351138393,
      0.508179062517564,
      0.520495368862057,
      0.493028306554507,
      0.472411252549361,
      0.700404899236807,
      0.448261639355372,
      0.6523937821973,
      0.567544693708683,
      0.7693529371629,
      0.852682078876357,
      0.561505006403995,
      0.386156726792974,
      0.560455752233875,
      0.431585934668194,
      0.632416756739227,
      0.415080348447831,
      0.688586927319915,
      0.494091099006118,
      0.486090757664593,
      0.548466875520886,
      0.587744043029496,
      0.528430338458659,
      0.643463804845113,
      0.537692376607148,
      0.379277542672652,
      0.587533223173763,
      0.371327624592762,
      0.546461489634902,
      0.66516487776464,
      0.513223030712262,
      0.522843873263513,
      0.374407115774649,
      0.504835884629387,
      0.70244281922156,
      0.53711732709923,
      0.69323758663259,
      0.742565212390798,
      0.631307325786095,
      0.474311608132512,
      0.732441006283856,
      0.468995343781573,
      0.496451743836842,
      0.550548341375654,
      0.727244633573858,
      0.562957170816252,
      0.504226961504848,
      0.668003144324518,
      0.499589641713593,
      0.639547576770547,
      0.416553929173195,
      0.684268944080357,
      0.355326171640546,
      0.693673651436414,
      0.835882595654715,
      0.565199131569757,
      0.420951173561111,
      0.384954961286577,
      0.313887263342275,
      0.487088369720872,
      0.322747241551427,
      0.683696417136568,
      0.467645590758163,
      0.461285790625659,
      0.644116113280274,
      0.603542529481819,
      0.401200480719849,
      0.557599452958143,
      0.60806425189395,
      0.579633942535191,
      0.433317695056058,
      0.371956360830842,
      0.427774763541292,
      0.425925075198897,
      0.536770939820909,
      0.416347258894013,
      0.288495207364517,
      0.380593966080874,
      0.395545447768174,
      0.270102364829711,
      0.440387635005837,
      0,
      0.188003100952033,
      0.152659210901951,
      0.30718089032337,
      0.150490203922472,
      0.293549943251397,
      0.134690799682478,
      0.374808427912823,
      0.0914468186979581,
      0.354337570163379,
      0.441236526746621,
      0.322962911884193,
      0.111487054275874,
      0,
      0.188670467350886,
      0.36566074933408,
      0.491252761179296,
      0.602698544027614,
      0.284337320899045,
      0.125391642309213,
      0.169273568366544,
      0.0941793387054892,
      0.189334006358224,
      0.171717979447474,
      0.593457370385158,
      0.481150549834649,
      0.583037498134656,
      0.577189158787833,
      0.550246248354756,
      0.149279238551232,
      0.414221298231095,
      0.302759001564976,
      0.392735506586089,
      0.175008813509511,
      0.330411290584242,
      0.145165196781227,
      0.148750325128559,
      0.251379617299851,
      0.201828911458714,
      0.340068123874054,
      0.298495278731634,
      0.193853285033157,
      0.223343471766617,
      0.220437373005549,
      0.619723823777547,
      0.193303244601148,
      0.274612806016269,
      0.40907729282412,
      0.565966982955977,
      0.689878362642222,
      0.627399304682922,
      0.649123047829319,
      0.613977475548783,
      0.287443510031494,
      0.369192495847978,
      0.222872340733728,
      0.442216781925257,
      0.333776015957442,
      0.317588056521697,
      0.411835561114296,
      0.300912099285892,
      0.543309724797528,
      0.33395199486909,
      0.594020256109823,
      0.715910412060302,
      0.41426663365867,
      0.601269935195469,
      0.611785763679286,
      0.500748943364151,
      0.34494226344447,
      0.523380224446455,
      0.57943960307336,
      0.484769389946256,
      0.301424143910058,
      0.361044498660591,
      0.503577325078202,
      0.231051300298735,
      0.34712721999963,
      0.330955745666094,
      0.293234007301281,
      0.499187902014699,
      0.354748664648423,
      0.62659907391807,
      0.104894936373169,
      0.225911744386008,
      0.533683336165107,
      0.541454889549304,
      0.378946300255624,
      0.43237190223901,
      0.33236572762545,
      0.533624738127914,
      0.503405510353325,
      0.469814608174765,
      0.839383546219246,
      0.39088835402031,
      0.598980458024475,
      0.509532743646525,
      0.376600175350472,
      0.507172577156226,
      0.412387672171873,
      0.523837931583998,
      0.273239061371601,
      0.590383878134649,
      0.374938012865259,
      0.589533265959972,
      0.437167722668456,
      0.514227977737265,
      0.586622581258596,
      0.561234604940139,
      0.375932859742247,
      0.497173144636401,
      0.212960648713061,
      0.613567731966939,
      0.608933308435559,
      0.507786093534692,
      0.552146206564273,
      0.444930433138799,
      0.530841388227303,
      0.664176895042898,
      0.392157221505572,
      0.552813918270146,
      0.456058731323205,
      0.317695295941035,
      0.536754895123573,
      0.418695531582723,
      0.465068210430417,
      0.42144041416213,
      0.453642139288286,
      0.294116686456741,
      0.331612885634615,
      0.202701879297469,
      0.444966918509512,
      0.484458288444717,
      0.425109669486654,
      0.610562807304156,
      0.440051958170441,
      0.452718778811579,
      0.481875861847632,
      0.348022657034161,
      0.57725073812563,
      0.432342286428175,
      0.640308724047896,
      0.562613061920731,
      0.487214404499097,
      0.539687775475426,
      0.411566495443744,
      0.306771331389411,
      0.607799139720431,
      0.247048528683109,
      0.602757727712743,
      0.528105872214193,
      0.400316927245447,
      0.457365499938592,
      0.459124127752145,
      0.513887245244264,
      0.27371441680852,
      0.442910224459339,
      0.561223092821351,
      0.494443355239288,
      0.485344653553273,
      0.413574871399805,
      0.313553770193554,
      0.478225244156022,
      0.441449786705596,
      0.534987399915247,
      0.773064649820269,
      0.52911806247067,
      0.535258370835227,
      0.710283948060502,
      0.456392613878988,
      0.532066411685313,
      0.385206774044923,
      0.370564152491455,
      0.515028326958757,
      0.494747981392043,
      0.373902606128304,
      0.315802932516238,
      0.309686035952608,
      0.39660431142126,
      0.421576353339593,
      0.343298422571497,
      0.421438515200437,
      0.539991843627471,
      0.453064972177747,
      0.50828333694239,
      0.302866498869974,
      0.299375211772321,
      0.222369011361888,
      0.331880973754733,
      0.378343951219539,
      0.393198819423747,
      0.46659129603444,
      0.226618956598453,
      0.377332415692009,
      0.449910953284064,
      0.251561313691136,
      0.646767689444833,
      0.279914112935251,
      0.627578493821436,
      0.497624504678592,
      0.669071881121271,
      0.610009612566639,
      0.410584029871024,
      0.428361826505613,
      0.446941606585048,
      0.513130744575235,
      0.600460453327595,
      0.370810523666745,
      0.359883423848276,
      0.268044563691681,
      0.3159431228352,
      0.456577697108558,
      0.463364574479183,
      0.518802184420167,
      0.482764767260747,
      0.46018852194989,
      0.744177238608547,
      0.405709199138298,
      0.378737277938197,
      0.526414124589065,
      0.643382152988899,
      0.607836930033455,
      0.421309077345044,
      0.471200983688304,
      0.501794661173534,
      0.713819181392376,
      0.320821909024186,
      0.535668349068291,
      0.432863688217629,
      0.604673323811104,
      0.783487155776397,
      0.406047948826834,
      0.406802740702838,
      0.467670146134491,
      0.534228183778562,
      0.625915727015858,
      0.360251669993447,
      0.279791035468928,
      0.473829395719859,
      0.488749408271938,
      0.60560901823248,
      0.567322840543276,
      0.551251696316722,
      0.373507211212118,
      0.441791679233317,
      0.365555177461984,
      0.420423825359908,
      0.513318069088822,
      0.765908594404165,
      0.519337113087612,
      0.617365845689051,
      0.575790000140776,
      0.549054306988069,
      0.306806325222594,
      0.585481285598938,
      0.641232809100935,
      0.313750193808315,
      0.449313414498795,
      0.30816344869102,
      0.388611687009859,
      0.454296058314829,
      0.513667190831535,
      0.609664050304737,
      0.236699930718383,
      0.542184056028622,
      0.58862417657007,
      0.574511793308622,
      0.597998030638678,
      0.560907072459886,
      0.528785492429821,
      0.383804710355186,
      0.455383391638851,
      0.391377294114372,
      0.611846795352919,
      0.582172287099958,
      0.575501397789438,
      0.551598749109357,
      0.359421992255693,
      0.591577772864384,
      0.445960902163577,
      0.415826228976974,
      0.501873656540232,
      0.434715097107947,
      0.489550843576443,
      0.446937945142289,
      0.437741175378437,
      0.579105465618861,
      0.68879622120012,
      0.434130312897552,
      0.44716888534682,
      0.461234643836707,
      0.347509524128356,
      0.392131695839935,
      0.401489512824354,
      0.476552144149925,
      0.811205222486751,
      0.491859426032018,
      0.428481000895325,
      0.777128892324615,
      0.490292734136002,
      0.641815100680932,
      0.620182534106004,
      0.47540333024393,
      0.420120074989063,
      0.565462410998183,
      0.549524888312319,
      0.549791179409536,
      0.451381847047007,
      0.567828447776095,
      0.540970238314143,
      0.944121399046503,
      0.588880353231222,
      0.619220393778397,
      0.495632623977529,
      0.603220906180566,
      0.495857756107826,
      0.360686743221098,
      0.327551111156995,
      0.739815061090561,
      0.580923930485,
      0.600279999480441,
      0.56530405938231,
      0.584897345339285,
      0.408243619755491,
      0.447926506085449,
      0.344475931591359,
      0.365212594038026,
      0.612888130708188,
      0.521233671729765,
      0.61238925764174,
      0.638367965215264,
      0.591058117065052,
      0.592366502735096,
      0.535956128173675,
      0.529677969264874,
      0.39715178999967,
      0.479500802615306,
      0.524989977507094,
      0.486830226221924,
      0.486597629814266,
      0.347062436182333,
      0.668180064102413,
      0.44716829292207,
      0.515880910207256,
      0.424161252565066,
      0.334985090189229,
      0.481671991147509,
      0.672706825922018,
      0.59650089985098,
      0.632106897544229,
      0.561627265386846,
      0.430944098525087,
      0.424107690411025,
      0.475007285951216,
      0.553920919925602,
      0.565666711599339,
      0.551621132697911,
      0.512565961006782,
      0.604345804165778,
      0.566169594341767,
      0.353276900210028,
      0.470482548113974,
      0.393025337865918,
      0.511273621856901,
      0.399486640121848,
      0.524755413722436,
      0.456967322830483,
      0.494571380049784,
      0.58495758610864,
      0.509282927081286,
      0.520915790374358,
      0.44129593314884,
      0.354325022642406,
      0.540798419311929,
      0.59092193866395,
      0.535728889720137,
      0.54716708015127,
      0.401594904183509,
      0.307131383713334,
      0.511080981854872,
      0.427785217514179,
      0.581037842818472,
      0.525343068185989,
      0.379847689827745,
      0.527742374626647,
      0.420629213755626,
      0.477499243277516,
      0.50599477046183,
      0.522552121663475,
      0.511285364912035,
      0.474824771564032,
      0.398129260939647,
      0.333202006516053,
      0.814582713290167,
      0.565489162349166,
      0.502520967537741,
      0.459163545794266,
      0.441966280728196,
      0.372747278911592,
      0.483579608145659,
      0.66697730320532,
      0.582921749800179,
      0.523734807699431,
      0.584180721755415,
      0.386473375028696,
      0.55798292558069,
      0.476604736122688,
      0.447016449611945,
      0.563568936381026,
      0.787012046186084,
      0.653556378197288,
      0.512805436062243,
      0.458141291718857,
      0.748076310929842,
      0.39381894124,
      0.568898736469134,
      0.707653723332735,
      0.484738909334991,
      0.530615554240634,
      0.350464286165685,
      0.443596085256945,
      0.405879141995935,
      0.491089618424656,
      0.311988559770716,
      0.695878231162525,
      0.432264747063102,
      0.583005044873254,
      0.453719560773008,
      0.623170804031177,
      0.604050400390843,
      0.519084622265058,
      0.355926945725185,
      0.413024738522559,
      0.379621828624097,
      0.52359474334828,
      0.469984661998104,
      0.651107956744773,
      0.497559511037565,
      0.49559926994784,
      0.496457478215679,
      0.632218422004638,
      0.577049628813036,
      0.474316022945767,
      0.623669426182976,
      0.474102854236339,
      0.400976497730684,
      0.337399864600399,
      0.399265077739956,
      0.352703420619584,
      0.435077429057176,
      0.41310346022729,
      0.346488249273888,
      0.490391641110141,
      0.632339113744571,
      0.529702649837793,
      0.749573380432639,
      0.540731118691824,
      0.596952351378831,
      0.447741957312531,
      0.643181413190961,
      0.447203991658646,
      0.592498541291604,
      0.551389949368466,
      0.527729835312524,
      0.571049348240507,
      0.407675978743513,
      0.658163651996554,
      0.488787604977693,
      0.430536958089352,
      0.347303388267731,
      0.590659565602501,
      0.390170033552402,
      0.626355936416364,
      0.845219915962092,
      0.494320454151313,
      0.502120829856244,
      0.24999293308057,
      0.306539483251104,
      0.472992501252252,
      0.358940592268127,
      0.544650903885386,
      0.537975451203427,
      0.560420974870934,
      0.608193182582721,
      0.60463655907552,
      0.303432652702875,
      0.407291751850114,
      0.388968371866526,
      0.60596373811335,
      0.477225661750552,
      0.437700596330062,
      0.382047427992608,
      0.450340501473795,
      0.54766582857679,
      0.257545110184806,
      0.245504172693967,
      0.345801322600228,
      0.362113678453428,
      0.300810787838168,
      0.430965253904074,
      0,
      0.24977859346245,
      0.18313655926717,
      0.368347672722926,
      0.188152897619425,
      0.32494445016418,
      0.156682938248703,
      0.550993359367999,
      0.171099281078968,
      0.359081032040215,
      0.345106922247962,
      0.284855672579511,
      0.163015564344724,
      0.0115663561134704,
      0.261627700134158,
      0.400990411168792,
      0.521975869849798,
      0.580781505176637,
      0.259938587422872,
      0.21888778054418,
      0.0578080826482239,
      0.0980980877237684,
      0.176411389522347,
      0.330109155997714,
      0.574618476068109,
      0.528391852894182,
      0.504990229060801,
      0.499036743607757,
      0.473318747341691,
      0.114036118106608,
      0.361008462123758,
      0.314713727857204,
      0.471417392570623,
      0.20781373557615,
      0.413618230078659,
      0.151515797247619,
      0.186395263991077,
      0.331833679264793,
      0.0735937430989193,
      0.203795974475422,
      0.227075707384572,
      0.0986455394095431,
      0.255075728446193,
      0.146639579917029,
      0.503941267994997,
      0.190766329352101,
      0.292864715490767,
      0.42353219211951,
      0.669112628984451,
      0.612771538208206,
      0.552948122826708,
      0.625341083340657,
      0.563442447299469,
      0.296873037643543,
      0.419287636139302,
      0.217267129680786,
      0.440906068274616,
      0.285049367158682,
      0.310144889309802,
      0.370334163893155,
      0.362280602089921,
      0.56899040639011,
      0.370957224342876,
      0.558690398611413,
      0.638277145680543,
      0.456357288573932,
      0.524183523811688,
      0.526674631599796,
      0.42332539295643,
      0.296645376456739,
      0.5176642870465,
      0.502569597083198,
      0.422362798967296,
      0.26156116319964,
      0.420940389837924,
      0.497289950598096,
      0.279776783615506,
      0.436277114675502,
      0.37688099748018,
      0.261953408054594,
      0.522045570795157,
      0.283276768764439,
      0.641221986231033,
      0.295368453154799,
      0.367560714351677,
      0.510987991856736,
      0.467126065881408,
      0.579545752805604,
      0.529375528664312,
      0.385027982697197,
      0.563904229131382,
      0.534785462243242,
      0.408752937158863,
      0.764294693948356,
      0.393024972061423,
      0.470209073972426,
      0.488924829045954,
      0.47207115349875,
      0.451615525326276,
      0.328892685291479,
      0.587772391706497,
      0.282490374954665,
      0.496825840352701,
      0.310993605887622,
      0.502819988806566,
      0.457877914627807,
      0.333184402865779,
      0.510310807261878,
      0.45291491996292,
      0.42420293768038,
      0.489173041557136,
      0.316421971367182,
      0.524324347751189,
      0.525276632350573,
      0.440993526862281,
      0.453234530549086,
      0.542879959102892,
      0.518183538622009,
      0.549506010556614,
      0.352169390343787,
      0.540616437209106,
      0.541304418336453,
      0.342181966109963,
      0.492428943160961,
      0.558800897227907,
      0.406608773882198,
      0.457815957724698,
      0.478658302282799,
      0.290793052203968,
      0.306024308417229,
      0.296491822031082,
      0.478948187878815,
      0.413676996979462,
      0.402372997579968,
      0.565998685662053,
      0.625642151535457,
      0.544416306812257,
      0.50544228858075,
      0.364009666382359,
      0.492908599378056,
      0.46577907166175,
      0.588594992622806,
      0.501137161746072,
      0.454195353392556,
      0.46509665547614,
      0.408318335806923,
      0.372617789550112,
      0.62313012035939,
      0.32696610542694,
      0.642674340467543,
      0.49183399063904,
      0.561528316173942,
      0.35139427127144,
      0.417988427312773,
      0.669209525637052,
      0.304028257781338,
      0.46500516175651,
      0.660858651073443,
      0.539182092336281,
      0.457956106616424,
      0.389864426117663,
      0.336028575087835,
      0.44863201239155,
      0.436666952581494,
      0.548084024391102,
      0.544873034144117,
      0.448111126134666,
      0.479644144134627,
      0.724554983027512,
      0.449494761628391,
      0.49187569039495,
      0.405134351421042,
      0.359689352310383,
      0.48170466649787,
      0.436574826212918,
      0.292316198378943,
      0.265845124669917,
      0.323211502678362,
      0.361547266745568,
      0.445455029646824,
      0.333577435456661,
      0.490714473120404,
      0.565746448343474,
      0.503781652529457,
      0.540516364215241,
      0.329292906938815,
      0.273717492094846,
      0.226522213080659,
      0.33926659661197,
      0.318255003734424,
      0.307370839426239,
      0.472378131672658,
      0.255785993422455,
      0.414935709445696,
      0.594078601823705,
      0.517569132131744,
      0.549713373013903,
      0.343101281938927,
      0.57863389283994,
      0.446066840525878,
      0.378499734700345,
      0.527893324687971,
      0.512113762836439,
      0.437219063153122,
      0.516165553333738,
      0.560468829204264,
      0.453110304357586,
      0.357712498913212,
      0.373418160738373,
      0.267317601298349,
      0.345464435440734,
      0.462841107477222,
      0.45897885053359,
      0.437621123625539,
      0.506115634263183,
      0.433792768824898,
      0.721267102586907,
      0.417637549459771,
      0.381652341129178,
      0.49919976834065,
      0.585341225779417,
      0.553946566614499,
      0.388423063941579,
      0.46562883838518,
      0.540783121962138,
      0.632477072338327,
      0.342867138114044,
      0.489781296439889,
      0.525226672339011,
      0.571955901008885,
      0.730668123235629,
      0.401127199965101,
      0.432908949391093,
      0.552895039931112,
      0.577090456613943,
      0.577951198377186,
      0.37266562628266,
      0.312572235303671,
      0.480409063646563,
      0.47674744275117,
      0.569973565287579,
      0.500354794492893,
      0.525845900900975,
      0.448733957404988,
      0.525957188968531,
      0.375460414165355,
      0.409712761137668,
      0.538428163514916,
      0.646968051904174,
      0.528977163102516,
      0.528915891262626,
      0.517572823757501,
      0.461954583337742,
      0.290473797298782,
      0.5552687583647,
      0.512506137842878,
      0.375487557946239,
      0.388279562754753,
      0.53139639032082,
      0.43323903516467,
      0.472148549595066,
      0.450551148180028,
      0.587900339918759,
      0.289959505396214,
      0.588752673400579,
      0.475397082559055,
      0.508814667411274,
      0.553834738827591,
      0.516677007665534,
      0.61659818204127,
      0.53237686455139,
      0.45352191952446,
      0.393940857527175,
      0.573611309884305,
      0.602409043714792,
      0.470289668450589,
      0.517993235534677,
      0.411632535380353,
      0.57926097684749,
      0.54671943000955,
      0.488769824474144,
      0.566616134527969,
      0.367264829864904,
      0.448089672521244,
      0.474495948664543,
      0.512661534496698,
      0.515175156719621,
      0.68047960391813,
      0.459340788712252,
      0.400486699732599,
      0.460497736266738,
      0.365368392352022,
      0.358392379703648,
      0.35334460131491,
      0.32622134333741,
      0.699349343729738,
      0.557339823360043,
      0.413991657005507,
      0.759693228239535,
      0.450131266849365,
      0.683148068363439,
      0.587449932232308,
      0.442771594619585,
      0.513069863689236,
      0.533416332170679,
      0.508548393989501,
      0.507109721667392,
      0.381849492913487,
      0.490490713982215,
      0.474101517187055,
      0.755035202638432,
      0.611726656287689,
      0.636443358511614,
      0.539769255689664,
      0.599233874997179,
      0.553561303788503,
      0.391494470609273,
      0.420120204276773,
      0.608760774260131,
      0.551545765572965,
      0.703262453926548,
      0.516990030387873,
      0.507434169512136,
      0.495969146160859,
      0.445787510383172,
      0.534747254806365,
      0.444638828756171,
      0.503811107932804,
      0.500947361633836,
      0.523419768449301,
      0.578953051216046,
      0.567003907872467,
      0.608651429053278,
      0.312150177479652,
      0.473635564329766,
      0.452249134137196,
      0.411883204961817,
      0.496495584716479,
      0.590486386479667,
      0.525106189999665,
      0.449038365142434,
      0.583214355533789,
      0.335216603625526,
      0.540054629557841,
      0.393709137162014,
      0.421544825614309,
      0.338494622597494,
      0.486384251822524,
      0.648681833665421,
      0.522098496560185,
      0.674900347325685,
      0.339845856377835,
      0.430653408634487,
      0.50186715846631,
      0.453198098807929,
      0.594522503902499,
      0.670743725916224,
      0.442009228536997,
      0.656794445515483,
      0.458036593369792,
      0.376261163229973,
      0.569846668695269,
      0.453313421796384,
      0.43823861155691,
      0.381225495520688,
      0.556136458681338,
      0.442106017625201,
      0.495699637692618,
      0.597198174936863,
      0.53372582720706,
      0.380880537028803,
      0.435696599157209,
      0.311682036820265,
      0.518766022975611,
      0.486306579820851,
      0.459966251849886,
      0.482327433758113,
      0.323520012672844,
      0.341064909558179,
      0.490070149510475,
      0.370739657486764,
      0.516327316230065,
      0.536381126585832,
      0.32963309190465,
      0.456201514054454,
      0.488726199049928,
      0.472805542558689,
      0.372685522406381,
      0.383027561567371,
      0.468157369510183,
      0.503735230082219,
      0.410029036829006,
      0.268466315954251,
      0.505998555518537,
      0.538566994786242,
      0.579360554272847,
      0.44202915630079,
      0.44186896972352,
      0.337591018064367,
      0.240352085100061,
      0.662034930340574,
      0.458602031945792,
      0.513776716270114,
      0.527369308599178,
      0.361538663202833,
      0.601916223772071,
      0.508984745181526,
      0.424462530626953,
      0.499931959529513,
      0.64734071020267,
      0.495349134566654,
      0.507756961801401,
      0.445439120329358,
      0.675508761467535,
      0.478989560417136,
      0.570253241688118,
      0.758119008305671,
      0.443640595744852,
      0.506297168824639,
      0.418350948379368,
      0.406471492613178,
      0.366267362377853,
      0.515731658042568,
      0.347989984295379,
      0.630323868003133,
      0.474029357579233,
      0.538655609936374,
      0.356258990112019,
      0.54021189200084,
      0.47696746033792,
      0.394058057183815,
      0.497818285101734,
      0.517146732234366,
      0.397202257465173,
      0.46220979877597,
      0.43920421102492,
      0.648998069878365,
      0.464671349216824,
      0.47247030145658,
      0.491520382037134,
      0.577928616599718,
      0.540740992059819,
      0.46909971688515,
      0.524260528311793,
      0.486942319342917,
      0.426848348189192,
      0.452739694675468,
      0.453448795118407,
      0.42043600677245,
      0.482203214306458,
      0.403835417699169,
      0.32010457925943,
      0.468162776936671,
      0.622079101465807,
      0.503344753265718,
      0.786547324745618,
      0.464788431532134,
      0.586361254147815,
      0.449276075400034,
      0.609172366635194,
      0.499573809739951,
      0.544884306289292,
      0.53974802421982,
      0.455770613617638,
      0.50189306992112,
      0.467507100142891,
      0.58234841710516,
      0.454853189953435,
      0.430902448764082,
      0.338276231642268,
      0.649240063948283,
      0.33780420698758,
      0.599009016669068,
      0.826411238532702,
      0.466183959278529,
      0.500262778776717,
      0.281853832723495,
      0.294472601440219,
      0.518491220050802,
      0.485844467447331,
      0.456010256445154,
      0.479121084994269,
      0.463459479964279,
      0.638057625452714,
      0.594913017329354,
      0.332107901327026,
      0.442968989218634,
      0.341632582954749,
      0.594945753462876,
      0.483344684538332,
      0.382258426960765,
      0.379405030373643,
      0.396750028065217,
      0.524006811113794,
      0.251944154174917,
      0.382739353535022,
      0.350864652811486,
      0.367980259016951,
      0.327698744610133,
      0.42131769096697,
      0,
      0.360189771308075,
      0.226736927513631,
      0.320355379236365,
      0.172779463154426,
      0.448689186534056,
      0.279962376777651,
      0.668046577077089,
      0.345125215126292,
      0.345206886727347,
      0.258873330384487,
      0.25881539884043,
      0.173900148932384,
      0.00610103299835868,
      0.272203899979956,
      0.413560586820786,
      0.585807210366159,
      0.789379493298905,
      0.198080290304612,
      0.193270447568131,
      0.0639820264282928,
      0.0801370097030805,
      0.26223332887676,
      0.390780663325267,
      0.53547873393957,
      0.439618342419724,
      0.360418902538463,
      0.620868147329258,
      0.229875586241764,
      0.157517450119906,
      0.323595925014699,
      0.334973751715501,
      0.681025174825986,
      0.272798191419888,
      0.590842078590653,
      0.280764165714899,
      0.141117700952556,
      0.404720172895945,
      0.0773771020386838,
      0.209686162457488,
      0.133823426408728,
      0.14497007883132,
      0.191508331430455,
      0.0512513477159316,
      0.381357860375032,
      0.239316479601104,
      0.306254783996873,
      0.485338631618441,
      0.578411182324859,
      0.194989869348598,
      0.440889283842812,
      0.539070246369903,
      0.515178999846191,
      0.242263708399324,
      0.368384460026611,
      0.219707570984408,
      0.457638436313635,
      0.333374326796972,
      0.287183523284287,
      0.377923701295844,
      0.33522525547847,
      0.513822656187031,
      0.338983711780133,
      0.484752817182838,
      0.443349063555706,
      0.519674380130904,
      0.452598930799909,
      0.474085665447534,
      0.411475841542397,
      0.333322683510706,
      0.503798410752634,
      0.28497183214165,
      0.34629255879813,
      0.393989623054778,
      0.446401508398702,
      0.431220457203145,
      0.297249181067016,
      0.376306707264618,
      0.62005278903717,
      0.556241549530234,
      0.496290040075447,
      0.247547420102782,
      0.669343073303933,
      0.439005449348053,
      0.43751491831152,
      0.419590845502713,
      0.458132776111858,
      0.722566703742798,
      0.671485830477224,
      0.647419344302885,
      0.541782314505841,
      0.537042078665114,
      0.345426601462332,
      0.724739633966861,
      0.446805069501167,
      0.431997116912993,
      0.459625249617735,
      0.551296035529056,
      0.492998830529177,
      0.340581031670307,
      0.503744508796986,
      0.234476096268397,
      0.455214154514201,
      0.391948858613595,
      0.216037078230321,
      0.508898729951313,
      0.314128960430823,
      0.38596788742389,
      0.238524412607484,
      0.527508808045848,
      0.477309828303209,
      0.47581938193762,
      0.450623535409882,
      0.350418871373349,
      0.357412487465272,
      0.489792084700175,
      0.568376400821819,
      0.468674928418654,
      0.413398389618097,
      0.295400145558119,
      0.480856695273445,
      0.599110974632246,
      0.477452591153821,
      0.501966456870205,
      0.781198886799996,
      0.40008048522137,
      0.459675961793138,
      0.476743205802578,
      0.25995509300011,
      0.391634633257661,
      0.357605642907327,
      0.49155697949666,
      0.366799249610706,
      0.455284384143991,
      0.500567939260546,
      0.80888584976432,
      0.514395483155869,
      0.481168203639836,
      0.351252048429529,
      0.373064271846754,
      0.515180395285383,
      0.509789220718544,
      0.397860391632057,
      0.465492619378887,
      0.427748580289874,
      0.41330315407508,
      0.328960498591802,
      0.557958243533503,
      0.430890589571885,
      0.605608812661569,
      0.461876752198186,
      0.710513530235627,
      0.454426243706693,
      0.425375016548579,
      0.747478511806096,
      0.365146453554125,
      0.451976720536703,
      0.594248355462143,
      0.536743042419988,
      0.443840016412593,
      0.437815477221192,
      0.376447684063388,
      0.465635774641096,
      0.499515958048094,
      0.521956756420879,
      0.473192885567997,
      0.36356989263365,
      0.651264689013013,
      0.712054952344146,
      0.52018055802586,
      0.451641266366138,
      0.390167190837728,
      0.349523854761963,
      0.39444447347363,
      0.424358955262354,
      0.260555864675751,
      0.299852780017673,
      0.353303897900178,
      0.328513963681029,
      0.472612238593674,
      0.358162824858124,
      0.521027066144464,
      0.468991363768156,
      0.456815627881555,
      0.506578274482098,
      0.340788421083356,
      0.345883671587318,
      0.331072019154705,
      0.396889489408219,
      0.254845147540383,
      0.423192954886037,
      0.585637507182408,
      0.31664526806348,
      0.43133106759183,
      0.708180301632005,
      0.668990037922024,
      0.512046926769397,
      0.316721536585638,
      0.503118680758922,
      0.410089722514814,
      0.375137391945567,
      0.42048068697056,
      0.629974681566397,
      0.443723967952438,
      0.438777543147043,
      0.543338483914026,
      0.347590693560022,
      0.43802553585946,
      0.406242087353917,
      0.199102184528302,
      0.440744375937416,
      0.53265909164159,
      0.406483637888688,
      0.423868504295026,
      0.442338506799927,
      0.307716211168162,
      0.513672064429567,
      0.385850675774116,
      0.373168456326127,
      0.458949515550272,
      0.366948818061839,
      0.357910068793154,
      0.351773642902665,
      0.490502081862634,
      0.571205408564815,
      0.467728792899178,
      0.395134674245139,
      0.512451801697195,
      0.546267077073598,
      0.559754678245197,
      0.482685188223325,
      0.378399851151474,
      0.494776751792271,
      0.435847720694491,
      0.554232967429976,
      0.394845123608,
      0.298408411126475,
      0.250621204152239,
      0.496817429197535,
      0.379129849030687,
      0.441829631687426,
      0.381137333497463,
      0.386727871516159,
      0.505880185473768,
      0.545117608675869,
      0.352291763483219,
      0.41163308234447,
      0.374143157182786,
      0.472388631418986,
      0.518486296866927,
      0.455675343555846,
      0.438125749226277,
      0.390889927059265,
      0.298818123014897,
      0.507792467208632,
      0.475875342897071,
      0.522568836565252,
      0.432773398011035,
      0.689072193864086,
      0.592641591284167,
      0.469799162813051,
      0.436300937333267,
      0.368798377969361,
      0.281475678504897,
      0.572364625378846,
      0.351422993020136,
      0.505466721507969,
      0.502197995770168,
      0.366962429705209,
      0.626467851618248,
      0.676631195535676,
      0.388856934281738,
      0.429061228504153,
      0.493499756718379,
      0.561722864422571,
      0.518620795702685,
      0.581801752035857,
      0.489568085704872,
      0.610040011664845,
      0.52795390623267,
      0.464601469996307,
      0.520349630250456,
      0.390558232796265,
      0.398152017804046,
      0.479419186661446,
      0.60623886632284,
      0.587967066934482,
      0.525911256234671,
      0.380712203560361,
      0.455408017632465,
      0.499769752037898,
      0.407438985977821,
      0.436090997390329,
      0.379007962782884,
      0.372968123920477,
      0.67808218525921,
      0.595654783118941,
      0.454268451057429,
      0.716153325238339,
      0.515368023514572,
      0.501914819987088,
      0.641235148329835,
      0.314334999260475,
      0.385444693776769,
      0.451038789645239,
      0.414502915533893,
      0.372818282203944,
      0.37838268506399,
      0.405948741526545,
      0.508326756672647,
      0.501637167763132,
      0.544207016205453,
      0.571163859129283,
      0.609075913558091,
      0.431949206966337,
      0.436841438659815,
      0.426887433297377,
      0.356611477910162,
      0.532792889767658,
      0.671658399552577,
      0.724453029165583,
      0.452676279027293,
      0.583800061093543,
      0.603784084656654,
      0.594810395570149,
      0.679653068296932,
      0.563539391613893,
      0.408602427134357,
      0.436423424810098,
      0.338708732573281,
      0.66123763008059,
      0.617172572266439,
      0.637357635366034,
      0.394635711576647,
      0.410266266378054,
      0.430089485736791,
      0.347531137737939,
      0.488493417140147,
      0.670383853347936,
      0.62545000827399,
      0.451117541042805,
      0.488770210000398,
      0.340751523315525,
      0.523809408172514,
      0.445688404330909,
      0.46187038262116,
      0.33146456316585,
      0.334424667256666,
      0.588603099378966,
      0.404771482107918,
      0.716036343440528,
      0.505794342658911,
      0.446160642862927,
      0.515457469606379,
      0.385591519874443,
      0.589052807287686,
      0.657980784812371,
      0.525428860195168,
      0.630901038084084,
      0.362037177841927,
      0.357433613627208,
      0.572680536836903,
      0.452426062041072,
      0.508787417751255,
      0.417241647052676,
      0.713616071678923,
      0.389363472260595,
      0.436571423724359,
      0.567861528193867,
      0.521732569599706,
      0.4024957976661,
      0.465776372615833,
      0.314573868540073,
      0.498533371093956,
      0.388690981437396,
      0.359256596299468,
      0.503936917754573,
      0.364136101776505,
      0.38602495034528,
      0.56708317133349,
      0.310559139848639,
      0.390767527043085,
      0.330126757052744,
      0.318973570997189,
      0.468439537389571,
      0.624972044039903,
      0.706333719776667,
      0.41245683273112,
      0.338749268860191,
      0.445418060381584,
      0.592517885066851,
      0.428329495022214,
      0.332551402021506,
      0.367708491676361,
      0.488660202932021,
      0.562319780247448,
      0.504502201558877,
      0.499044497381533,
      0.31727725901159,
      0.216346493832007,
      0.666949731318716,
      0.316610246858972,
      0.534094335223183,
      0.407323647456982,
      0.436123665605109,
      0.647570309106469,
      0.509059512136492,
      0.473016039949249,
      0.508352554511705,
      0.443442300458298,
      0.553854968932099,
      0.582090878693193,
      0.581620776626516,
      0.679114804787483,
      0.533541174206489,
      0.635162585667966,
      0.805207779931049,
      0.556703157960965,
      0.561857334438873,
      0.503254297850665,
      0.347199561378774,
      0.440614795757025,
      0.614208620674242,
      0.431767220805949,
      0.562221112485043,
      0.472058355284825,
      0.519901290985417,
      0.320523728194871,
      0.446845697909799,
      0.474911569680027,
      0.431691650592424,
      0.556187307382903,
      0.591219161529971,
      0.6429595350647,
      0.448811448310799,
      0.373567685620433,
      0.618046414803529,
      0.438468029908829,
      0.539214193713221,
      0.504711189196153,
      0.53480193150554,
      0.569462705499365,
      0.464131391182767,
      0.323723292924927,
      0.624849962186611,
      0.441380061162099,
      0.440956617487239,
      0.47506556734729,
      0.446214805904453,
      0.540686176980288,
      0.396921078146904,
      0.318422260655899,
      0.60011040299977,
      0.489114641882253,
      0.676986510939895,
      0.818277546966945,
      0.407777731155361,
      0.625124411811822,
      0.510192315722186,
      0.514323936443904,
      0.430623398995687,
      0.349808262837684,
      0.510207308592836,
      0.429560732137716,
      0.473752693532298,
      0.519767148505395,
      0.436983328566238,
      0.46644596724663,
      0.396436238095137,
      0.464836985963556,
      0.69177625256075,
      0.410164160155281,
      0.575895926793304,
      0.737570253612939,
      0.33867002760082,
      0.477303259890997,
      0.376048147361002,
      0.35593374594844,
      0.410391778245009,
      0.454931718829311,
      0.494843838789386,
      0.354335738390199,
      0.447374686274795,
      0.573455587330475,
      0.523362447608937,
      0.360066542455769,
      0.418045049695399,
      0.371183116677389,
      0.545358420222434,
      0.499832024406526,
      0.343398387872547,
      0.396339832291264,
      0.377262165929405,
      0.499081750966223,
      0.284287493121159,
      0.398758840583796,
      0.387605350593977,
      0.501299939092142,
      0.306663069144647,
      0.324743158617813,
      0,
      0.485314193279828,
      0.282247581515227,
      0.323705464054815,
      0.44858459679475,
      0.582771036026034,
      0.49868968861088,
      0.606365401430275,
      0.332456764314675,
      0.256297437810702,
      0.360785098444343,
      0.217934192555177,
      0.150807307051501,
      0,
      0.312593930309558,
      0.409373248607312,
      0.602849006247876,
      0.838710709916977,
      0.292146146122719,
      0.335937524892415,
      0.0895142312394185,
      0.113486718213644,
      0.321890618251559,
      0.381436371750175,
      0.667377481273779,
      0.395599515434467,
      0.641411851199213,
      0.76998392932085,
      0.271474643985036,
      0.289506029880957,
      0.299972656524308,
      0.472863691087369,
      0.793734222121088,
      0.342235707248555,
      0.593595384239988,
      0.263874630699373,
      0.113029236632306,
      0.546958127308551,
      0.210304684917571,
      0.161840377218361,
      0.0297379097746642,
      0.121252353414388,
      0.174412774698689,
      0.0489953054487664,
      0.574792943239532,
      0.44619489915474,
      0.308149901290083,
      0.537058519872418,
      0.433989519559673,
      0.11667589940249,
      0.678302720420587,
      0.625439847392928,
      0.560235665249033,
      0.313515997320215,
      0.345542642342455,
      0.137546607513921,
      0.45939323655393,
      0.385042398600686,
      0.30896239438108,
      0.380485872690987,
      0.341784492098975,
      0.540344563469027,
      0.340543009501102,
      0.532217247447398,
      0.418950032507755,
      0.500752939591889,
      0.477073397972155,
      0.436883377356104,
      0.430086604645955,
      0.275477705448441,
      0.495678727089335,
      0.268160167501451,
      0.383457475274874,
      0.447806558011311,
      0.497837554560831,
      0.431551334085768,
      0.295606438993353,
      0.679683044395265,
      0.804143045328747,
      0.663413112831406,
      0.49618265490134,
      0.28766497171589,
      0.662153143338425,
      0.427143242928617,
      0.320692060742008,
      0.419792011510398,
      0.455433987472016,
      0.644133517285261,
      0.599413272081279,
      0.696439205548028,
      0.57581262899739,
      0.560646786972322,
      0.379317771169413,
      0.710857517488809,
      0.394466503193539,
      0.467746631167691,
      0.454629685214916,
      0.659364578749728,
      0.590590262816975,
      0.529095923880439,
      0.486600774831076,
      0.228489835786077,
      0.383884368027548,
      0.414222031562675,
      0.175081361033545,
      0.523880534426137,
      0.393075035184359,
      0.46358907544856,
      0.26597011695283,
      0.495194027318986,
      0.700462366074887,
      0.647881487731456,
      0.496930045351985,
      0.393348655927255,
      0.40590363787792,
      0.521157380397276,
      0.543167396536314,
      0.487573056404889,
      0.552514328511779,
      0.325057105497338,
      0.568302927669259,
      0.605982967158364,
      0.681931148428187,
      0.521424976127981,
      0.864011060396332,
      0.396112454323479,
      0.567480490457354,
      0.562503560453975,
      0.3885290541509,
      0.304106903108792,
      0.365825944815603,
      0.560565077290268,
      0.490946459799351,
      0.488010211913871,
      0.500077615488572,
      0.854929322845999,
      0.583996096570451,
      0.606300488324034,
      0.385348967087821,
      0.513460345292874,
      0.759483897522689,
      0.597744325578411,
      0.477534380522123,
      0.429154092587263,
      0.444521503090661,
      0.414909150472761,
      0.349041918249099,
      0.483961005346538,
      0.537522918003848,
      0.563699552526525,
      0.422268251379511,
      0.639673184960671,
      0.53035693189082,
      0.439633813034705,
      0.781873078029768,
      0.481333708545425,
      0.333728858175743,
      0.630681390841729,
      0.642897189091719,
      0.523687620810301,
      0.62915354460334,
      0.566459570916944,
      0.600283492858509,
      0.465475202988601,
      0.519737282732023,
      0.527460334948195,
      0.428600689771173,
      0.869555785790041,
      0.647662061714826,
      0.514209601804778,
      0.489056405107352,
      0.347606099793878,
      0.360186899374771,
      0.419536928073667,
      0.35684653340326,
      0.416521945730167,
      0.277054557068133,
      0.365272033329768,
      0.337273419392142,
      0.572076395148794,
      0.500440916783128,
      0.589904787366153,
      0.538671343436826,
      0.555960077343887,
      0.477000323028208,
      0.454918029082229,
      0.251573926611556,
      0.282722059540258,
      0.458570113824273,
      0.366718974667962,
      0.656573962072012,
      0.673357754165659,
      0.348229043377863,
      0.58953276220886,
      0.675863155155496,
      0.606349173090133,
      0.432498154945955,
      0.38988358146856,
      0.580262787640201,
      0.433939467482465,
      0.392562478270375,
      0.539927165102673,
      0.56540393377834,
      0.476469351981117,
      0.484982965634666,
      0.526098830421725,
      0.362347622128449,
      0.543273567121968,
      0.610626587496183,
      0.316792130533793,
      0.430063199953124,
      0.496148490784337,
      0.50487732803143,
      0.477767261357912,
      0.608343848287571,
      0.336163675159719,
      0.432877922038866,
      0.351298152961065,
      0.375085335849151,
      0.665817321533304,
      0.456749705926693,
      0.370554741112449,
      0.383369285264318,
      0.518926803119518,
      0.540532415384061,
      0.643059875832993,
      0.33964713989848,
      0.532346474250314,
      0.671050202606195,
      0.538370967594076,
      0.538910720386402,
      0.389192278160119,
      0.594552874617438,
      0.419197167333835,
      0.595370815543751,
      0.453400050183888,
      0.32430177196935,
      0.398308912296004,
      0.480049577391331,
      0.479406265291824,
      0.400144274137504,
      0.429383692671291,
      0.383045260582913,
      0.749004226794523,
      0.539738698921381,
      0.380061751279458,
      0.343401259701216,
      0.289081972781729,
      0.354341975813598,
      0.597033940875409,
      0.547534721334925,
      0.457791918987253,
      0.505811199768754,
      0.357214037374782,
      0.623083534542662,
      0.535461665634059,
      0.482579709194471,
      0.401166715519535,
      0.621942701383737,
      0.597900470405841,
      0.510409713204657,
      0.472615489100805,
      0.428469329683585,
      0.294579564346147,
      0.602637503458324,
      0.432175037258651,
      0.499337756630579,
      0.488078008416929,
      0.373763468671545,
      0.622596512325549,
      0.601232645359158,
      0.466066080202188,
      0.38831232550755,
      0.542942495035098,
      0.567477959276642,
      0.531912995544505,
      0.619277125384991,
      0.456225865666324,
      0.794292671918566,
      0.591646702397102,
      0.440861806516627,
      0.496277793612426,
      0.457206758622303,
      0.455497434604911,
      0.585312293526715,
      0.640149115833788,
      0.681182966672173,
      0.499986039257682,
      0.226505442958663,
      0.404673133276877,
      0.507238626932694,
      0.352727967634683,
      0.477959259407683,
      0.333343169677398,
      0.318619178656493,
      0.598642031734085,
      0.610464048010608,
      0.441418615827581,
      0.600107396392379,
      0.531132481540749,
      0.439916063669407,
      0.689687693805838,
      0.43760196530804,
      0.468940374220113,
      0.426945522275937,
      0.531851481120646,
      0.436068346452702,
      0.456287922699631,
      0.482097133833439,
      0.535654289038442,
      0.459905007338852,
      0.474099815818506,
      0.550886188113426,
      0.626668270358669,
      0.46450886899956,
      0.351463606760594,
      0.371245773157054,
      0.359658254266621,
      0.45719501477117,
      0.702975106321483,
      0.701626007158466,
      0.472190225926955,
      0.650472630441551,
      0.580294024318657,
      0.552181342587791,
      0.610822265642144,
      0.522066229369521,
      0.438825461386899,
      0.435565090698098,
      0.336404761596545,
      0.696740713583844,
      0.517102142139876,
      0.604895118935473,
      0.390707193837342,
      0.407118182892108,
      0.496561526420115,
      0.461096063482604,
      0.536432967056556,
      0.755770368868779,
      0.621402021360231,
      0.574694011172979,
      0.4339089586493,
      0.444503462009598,
      0.486623018316734,
      0.442844799576772,
      0.525570651724977,
      0.445297160813456,
      0.388326447630085,
      0.569052536616132,
      0.468357359165618,
      0.694989327631503,
      0.518833233187258,
      0.441981515428132,
      0.520902474235695,
      0.467649503898801,
      0.655203699186776,
      0.626039843035242,
      0.566861663240205,
      0.620358190203598,
      0.467326150145179,
      0.353174995692141,
      0.518360684720474,
      0.499545369907767,
      0.581475823666659,
      0.491797177464959,
      0.801375589771345,
      0.440162979626861,
      0.529880509501332,
      0.568684645320946,
      0.573499492558374,
      0.459717848451237,
      0.480834269759187,
      0.386356799804315,
      0.49145822954945,
      0.427363381083492,
      0.497636801143173,
      0.570106099362068,
      0.414385093935835,
      0.385352394363277,
      0.574077861082681,
      0.404160176911702,
      0.427400831746249,
      0.378580139934451,
      0.356088537569618,
      0.479452687526297,
      0.556831660768712,
      0.88642869191496,
      0.514688089035576,
      0.50609058560366,
      0.45895814728879,
      0.582936306531797,
      0.542810207397307,
      0.341559706376442,
      0.391916151690492,
      0.452764837757101,
      0.717271040125438,
      0.541212130330543,
      0.527588398875601,
      0.350428036871682,
      0.162856048799813,
      0.687789802178842,
      0.313281215096766,
      0.628517376705814,
      0.407558965881614,
      0.407387347293004,
      0.669607128094506,
      0.550344763767576,
      0.450727819924688,
      0.530224558224608,
      0.488318288038327,
      0.605129861672181,
      0.72910480440033,
      0.694231343183475,
      0.742072960400128,
      0.453699761507086,
      0.667476882240395,
      0.794230584164498,
      0.48749865542247,
      0.533145439119177,
      0.480372230455443,
      0.394680963318587,
      0.573621887122677,
      0.766662289024889,
      0.482648646684317,
      0.458187343469287,
      0.403354254702949,
      0.562832829920375,
      0.5124936121854,
      0.518064399509049,
      0.470023677431429,
      0.398730007453472,
      0.51424730451772,
      0.536752180591135,
      0.827467100152115,
      0.455064531078904,
      0.470811589014772,
      0.629705329177792,
      0.537407270206952,
      0.565051036468643,
      0.481247930928644,
      0.54697369920844,
      0.543639624040006,
      0.57269144363437,
      0.425460126294066,
      0.824912803209765,
      0.421911883990228,
      0.506701692418606,
      0.491887646506091,
      0.484838123259389,
      0.610498446482138,
      0.367935319417118,
      0.329260020681482,
      0.701991008972248,
      0.51642689186451,
      0.772759261030147,
      0.856825228790474,
      0.404769252465294,
      0.730429493490513,
      0.644726445605185,
      0.437578760804885,
      0.433888311777557,
      0.448186935118374,
      0.50442587259242,
      0.460860369122693,
      0.546857062696372,
      0.388840676981046,
      0.449841300449055,
      0.458232009692679,
      0.358558212996684,
      0.560337836578709,
      0.680607679507634,
      0.34042677418501,
      0.629758423139482,
      0.632293773288566,
      0.418072705950192,
      0.459789584930448,
      0.415454863184272,
      0.342529736582912,
      0.442125882170166,
      0.440237600532535,
      0.564618204041912,
      0.346346129142839,
      0.626475563966735,
      0.571490236970803,
      0.499560774527094,
      0.470563613728544,
      0.414604762414073,
      0.414487263731901,
      0.523945373580971,
      0.49051259890195,
      0.407746733117047,
      0.509302085994009,
      0.503397961810844,
      0.481669370058227,
      0.328682366798093,
      0.327884810279724,
      0.420987167870246,
      0.457092027060329,
      0.401336504266682,
      0.404371137755145,
      0,
      0.646640688899727,
      0.410823330374392,
      0.376985846589299,
      0.539141529281351,
      0.710838097678157,
      0.529758997948578,
      0.671175290990097,
      0.198156053347622,
      0.282507921490179,
      0.38035368464211,
      0.47029339401513,
      0.215832029815856,
      0.0399360834354024,
      0.375907513546642,
      0.388953259794556,
      0.521739212222953,
      0.725311992267285,
      0.376501008623918,
      0.400729453588027,
      0.159778864288538,
      0.0627955337484107,
      0.356471619695057,
      0.334573544889646,
      0.671287508888915,
      0.391644401674556,
      0.76224121687246,
      0.736963042958904,
      0.258657242042867,
      0.523087553309459,
      0.397992708530104,
      0.560445871128681,
      0.719211971811435,
      0.478940573164283,
      0.628984006145455,
      0.38476407528828,
      0.355618544002549,
      0.631554818241567,
      0.403075722553941,
      0.146962681353412,
      0.00313636647437095,
      0.213870718327036,
      0.323541359969258,
      0.0452465147712139,
      0.713343105745656,
      0.615691491697243,
      0.275691663111697,
      0.478239847739213,
      0.353904461304499,
      0.18912270366271,
      0.750345950858515,
      0.515557566421524,
      0.660956585907774,
      0.56259820777749,
      0.485683916562978,
      0.39501086915085,
      0.458417453463817,
      0.454984323778563,
      0.535913281638219,
      0.485721252066713,
      0.575164659634757,
      0.552995830289843,
      0.477540650972109,
      0.568192791226621,
      0.467540934545965,
      0.533608044521949,
      0.691145368831118,
      0.588295418892012,
      0.468421006606186,
      0.415918872767473,
      0.513076537295488,
      0.332583195157939,
      0.48001357234208,
      0.480099004523667,
      0.521184041691974,
      0.459062380143933,
      0.252521751096911,
      0.836120730401239,
      0.833432866853904,
      0.577341537277296,
      0.50863478436507,
      0.265995914336491,
      0.580674377329183,
      0.407394578962569,
      0.514766355403596,
      0.543253727970966,
      0.466486606928183,
      0.546609831178523,
      0.488315203278707,
      0.5964392942775,
      0.705750128050529,
      0.55661273445597,
      0.47215106297255,
      0.679007644365995,
      0.484929034627871,
      0.400412566405371,
      0.349968907380892,
      0.718851605308683,
      0.763481381611229,
      0.734036448794336,
      0.502801868567066,
      0.217463579406308,
      0.418660675846994,
      0.339182404668595,
      0.191187006048858,
      0.521207558239593,
      0.490992957221945,
      0.488838073397901,
      0.449998042353478,
      0.565857875427394,
      0.787813540607035,
      0.677811885509613,
      0.715922757972999,
      0.528167705679917,
      0.377931075856123,
      0.529807114949531,
      0.613669047846791,
      0.497420042090367,
      0.685214124537261,
      0.565750189221919,
      0.634686425122206,
      0.705065827665798,
      0.814980768527685,
      0.538040485427781,
      0.788029825699021,
      0.38059770740507,
      0.637772873071342,
      0.773822107085673,
      0.558776963676777,
      0.392092642437418,
      0.443228685454704,
      0.639098359214476,
      0.678246974030235,
      0.6949418787204,
      0.68102619675244,
      0.77709595712959,
      0.654489808131285,
      0.6043237434224,
      0.477758885125586,
      0.7213554764738,
      0.918663690046611,
      0.638235816610449,
      0.603532741708786,
      0.602180883516434,
      0.591112785036049,
      0.454179234616304,
      0.366285044623175,
      0.763894324005168,
      0.641051901449453,
      0.643891296581282,
      0.458000272204697,
      0.593384208967022,
      0.58716933022718,
      0.672586010239367,
      0.695180825132365,
      0.655903188320402,
      0.334766949745743,
      0.707213802993546,
      0.710747441664924,
      0.698457487129605,
      0.727890529492239,
      0.75484092409864,
      0.630403129090486,
      0.57561197832101,
      0.488218015626048,
      0.683970073120865,
      0.65227651286627,
      0.884672803239653,
      0.673130563811467,
      0.546949681742238,
      0.478704826493949,
      0.46629902012536,
      0.375905287323552,
      0.509679176748073,
      0.389135788134997,
      0.690175194836457,
      0.2810752976335,
      0.299830204863946,
      0.510972600961403,
      0.766575295940294,
      0.725215913078759,
      0.698018723209065,
      0.748823442565923,
      0.729270640760143,
      0.340844034710227,
      0.57651000346965,
      0.206081043565452,
      0.381082459583857,
      0.439868811040871,
      0.433219990075107,
      0.75957000897192,
      0.672911784447129,
      0.515210826373299,
      0.81008101726475,
      0.788515637707797,
      0.56308743400234,
      0.628055720948485,
      0.434735507450322,
      0.592381868957602,
      0.531083999057741,
      0.333880308606252,
      0.733218670379943,
      0.549377806448103,
      0.478889362292101,
      0.694237497224283,
      0.446833567756434,
      0.410121103135558,
      0.604408332236111,
      0.655758867444979,
      0.31752289044488,
      0.36989829702385,
      0.442704769644047,
      0.588600468487348,
      0.622186471531163,
      0.720848838333188,
      0.509292034178376,
      0.587698651655145,
      0.467723169442371,
      0.420065364611481,
      0.761558295001071,
      0.542149249812971,
      0.469647917912605,
      0.550245593521509,
      0.518174633108908,
      0.677999528217416,
      0.7853254024988,
      0.405195441719657,
      0.484848462606202,
      0.755500304880764,
      0.596807579937948,
      0.640971877344728,
      0.468790415344419,
      0.627704715143599,
      0.412445582534701,
      0.683184290770847,
      0.554904324392238,
      0.504427284917351,
      0.485212793950397,
      0.584377248614005,
      0.587683676687254,
      0.540361625200946,
      0.392956255866066,
      0.440422310580365,
      0.815566976539443,
      0.526256051607706,
      0.584945105376915,
      0.412614885022262,
      0.370723294110389,
      0.406932592859356,
      0.818362937382324,
      0.600222171009664,
      0.480948631162623,
      0.589260423615341,
      0.562327776716196,
      0.694815054564656,
      0.692838497294426,
      0.412225881999856,
      0.482497076251972,
      0.566124415483772,
      0.771965525776573,
      0.685197643070265,
      0.605109711729373,
      0.571026497064892,
      0.513963186186193,
      0.688093164233482,
      0.550375494507348,
      0.498653039554385,
      0.504605004031256,
      0.382406537687463,
      0.738728481486519,
      0.622827404448221,
      0.731923555368836,
      0.578111255021422,
      0.742742878187037,
      0.536590147332402,
      0.493786010858191,
      0.586921936887706,
      0.552013976196343,
      0.836598187840156,
      0.584944099837049,
      0.651812196158746,
      0.661080337212312,
      0.684221505189948,
      0.667720939939551,
      0.755092266161963,
      0.631688952985632,
      0.776091276099037,
      0.548781670861564,
      0.361327770519821,
      0.456548384702609,
      0.497586906121142,
      0.474643847186107,
      0.477511005312501,
      0.343701534171523,
      0.361534642732017,
      0.678680527791168,
      0.640289985248369,
      0.579303104868483,
      0.613101913623213,
      0.50966637209759,
      0.565067894373446,
      0.68841735344222,
      0.584823402390841,
      0.629640718487735,
      0.563735450406968,
      0.510952720891576,
      0.547517910866204,
      0.51662338859264,
      0.538350338509119,
      0.558093804346252,
      0.57218793402634,
      0.543246340622799,
      0.574015868255517,
      0.65002781417303,
      0.444221508858365,
      0.378441024627289,
      0.355609129626756,
      0.392897136647117,
      0.406411027767997,
      0.640598430244569,
      0.640016179035369,
      0.448594236488727,
      0.609811366941044,
      0.798123590898156,
      0.670923986894153,
      0.71924914206442,
      0.673531642305144,
      0.618359759809394,
      0.537484266378982,
      0.45035384442618,
      0.636345829783509,
      0.591212808329734,
      0.682432147739099,
      0.458434848555504,
      0.479005283878063,
      0.675410842544625,
      0.595517156975788,
      0.584887138216469,
      0.844683770594688,
      0.678485371063695,
      0.730274153980527,
      0.56800690099646,
      0.582865018537879,
      0.637506085127131,
      0.647165860585857,
      0.619867530211515,
      0.663719572265431,
      0.631857034471704,
      0.699392233010114,
      0.600997578886421,
      0.688027766417315,
      0.644970926925016,
      0.675449222953944,
      0.515791070070233,
      0.681743489162297,
      0.738422661438902,
      0.64129989428916,
      0.774379873990047,
      0.598110611712358,
      0.625877768758815,
      0.467383487683061,
      0.583464241917379,
      0.697500846570699,
      0.641367089749379,
      0.605823587326639,
      0.844158094751855,
      0.527153529963437,
      0.601682567109954,
      0.542167729089129,
      0.578867192996089,
      0.583347760767481,
      0.58889539814895,
      0.469506373239884,
      0.595055586751743,
      0.556737499084395,
      0.758853618886748,
      0.707688640135287,
      0.618333155315875,
      0.593043803329737,
      0.59655664035064,
      0.482675122355057,
      0.412612791407883,
      0.582284673692625,
      0.437254166383981,
      0.617090054898096,
      0.632551684385721,
      0.845244640020116,
      0.58968427875058,
      0.7455464017035,
      0.55761108860449,
      0.646045436238547,
      0.719855461074512,
      0.565846743647836,
      0.511927160013128,
      0.587051330770357,
      0.850981644964704,
      0.70896830099722,
      0.596408507956451,
      0.380113281839153,
      0.197664873170288,
      0.671475288050344,
      0.484108191924207,
      0.785958691530519,
      0.634290416155622,
      0.538078091280605,
      0.658233340495037,
      0.683868671993767,
      0.621329202996844,
      0.681828122541194,
      0.523816048088749,
      0.557166059415187,
      0.808387395120573,
      0.808521203353827,
      0.665486701658495,
      0.52674667685521,
      0.639900145776938,
      0.756812870115508,
      0.638668509265976,
      0.47252511798643,
      0.625273454597805,
      0.506150371548309,
      0.722970922842413,
      0.741244872743178,
      0.532610819772453,
      0.384628012502009,
      0.540574002510207,
      0.652729684231563,
      0.654607959902719,
      0.620790779136017,
      0.630993970173127,
      0.644318347403561,
      0.59833937812699,
      0.586865045003723,
      0.838944638104309,
      0.668343719935538,
      0.698496160414472,
      0.610734791115105,
      0.662315973895141,
      0.62668082491165,
      0.474808619812351,
      0.682779140510417,
      0.561448392152995,
      0.728771721184002,
      0.590280811133571,
      0.883839963646749,
      0.481554739233195,
      0.620669150492255,
      0.516916761349239,
      0.644720348137789,
      0.656530336348191,
      0.464456040812304,
      0.405346069634818,
      0.654151575037339,
      0.587625698745809,
      0.763350504817595,
      0.855880499890513,
      0.549939482753547,
      0.883041039411561,
      0.844532358167413,
      0.537137473934897,
      0.529979380981765,
      0.486351995125893,
      0.510520369431341,
      0.697862197748197,
      0.595608102678217,
      0.408889363966575,
      0.630863783014768,
      0.440210544261805,
      0.380223655249178,
      0.63645694754118,
      0.631410045172842,
      0.415551579163612,
      0.681276273149478,
      0.712286337265475,
      0.577051308684145,
      0.574015407706657,
      0.514757155318679,
      0.327592178198201,
      0.595121902083232,
      0.495326740856281,
      0.684311635916179,
      0.526066308475504,
      0.633962758909899,
      0.611673604877586,
      0.647677877864969,
      0.630751173938473,
      0.46400386335789,
      0.540173309294492,
      0.597882975164975,
      0.573054178953016,
      0.600861332340461,
      0.674257799619173,
      0.66624785664711,
      0.531074712936639,
      0.306301588096075,
      0.527186714530072,
      0.439635508835339,
      0.464759417712662,
      0.552558957841185,
      0.611648697476703,
      0,
      0.573209117126929,
      0.391023019987127,
      0.300163864596069,
      0.370375132318481,
      0.736167433597083,
      0.466368765163047,
      0.691099785201271,
      0.163240457343232,
      0.271634691121708,
      0.31146235135034,
      0.486147093660989,
      0.265806907569488,
      0.0888991249441372,
      0.342152400265099,
      0.364112254863193,
      0.302816214655218,
      0.572945010170601,
      0.365808577815056,
      0.442546993059801,
      0.119305412220806,
      0.143381807373087,
      0.344546476343719,
      0.240401260069751,
      0.619711986469672,
      0.361529755872426,
      0.660516990304839,
      0.427082289265341,
      0.229016125963955,
      0.55791917427847,
      0.482806071221124,
      0.568123647548457,
      0.476311176094488,
      0.541922662049264,
      0.65441566068845,
      0.397260194524238,
      0.379967048801071,
      0.608617461422124,
      0.399358209980271,
      0.197167118316758,
      0,
      0.230207443801795,
      0.299820169975282,
      0.0731346156946201,
      0.64231478387157,
      0.530614192318712,
      0.258236378049052,
      0.47680733413682,
      0.288389445037318,
      0.187825423857742,
      0.638269241833551,
      0.342565403460269,
      0.653818693255361,
      0.525432422186067,
      0.461722087702724,
      0.386843937733269,
      0.475713396155915,
      0.430305782147052,
      0.498493334884419,
      0.46285273239868,
      0.55375088009707,
      0.554211813915399,
      0.450492807526796,
      0.54330443251875,
      0.452840720418001,
      0.521722567559963,
      0.649728986815023,
      0.59304381457678,
      0.424171316849024,
      0.437916387100468,
      0.535843548210763,
      0.280785233455713,
      0.52071859937741,
      0.595036965039211,
      0.54237636035526,
      0.41770225187689,
      0.221467178478212,
      0.74479518102925,
      0.654038657539435,
      0.467542701879116,
      0.506480724806889,
      0.273305481178195,
      0.409211197271944,
      0.404623329420967,
      0.452898671211718,
      0.599151133175192,
      0.439030020769853,
      0.512479423572811,
      0.434108030353093,
      0.477945486453104,
      0.683786035733723,
      0.49421282151548,
      0.475010480467975,
      0.610949799964291,
      0.480475145834358,
      0.35020720136244,
      0.339126315260245,
      0.652107900848818,
      0.785415312621287,
      0.697711206840346,
      0.495845588965435,
      0.218748134652194,
      0.295646039550865,
      0.260553118105842,
      0.233533888483996,
      0.430078019405333,
      0.381457390206073,
      0.435438042130988,
      0.417590616450676,
      0.563829566396634,
      0.748192628296537,
      0.570046353166554,
      0.762333188619417,
      0.544080086826956,
      0.377233236106175,
      0.461323478308639,
      0.596102192920564,
      0.473653411918687,
      0.623502236691063,
      0.511871488759926,
      0.577390029820792,
      0.659498964934491,
      0.807771909178708,
      0.510876658610952,
      0.675387431596762,
      0.334784547541628,
      0.594418918379391,
      0.762435153074019,
      0.525056560506404,
      0.399686026914037,
      0.437987458473538,
      0.606916385282802,
      0.609219644479763,
      0.644841177887653,
      0.623585200332264,
      0.547328902476983,
      0.652633211484897,
      0.520223690103563,
      0.432108248989696,
      0.649129101995029,
      0.876776741602613,
      0.653038262172059,
      0.543095365600335,
      0.606646592944671,
      0.563331162571631,
      0.387522247070543,
      0.385657198753348,
      0.757250251391221,
      0.62968929138256,
      0.610137161366533,
      0.551896167154284,
      0.620093291244339,
      0.553718879377983,
      0.648525678265033,
      0.59264852511024,
      0.587497647008542,
      0.369663000486711,
      0.673783117926246,
      0.672853963198905,
      0.719133300937854,
      0.656838094637513,
      0.730790389236399,
      0.627406672782347,
      0.568047154670935,
      0.421307317813395,
      0.660207839249009,
      0.648135984105639,
      0.738453604564732,
      0.721744872603827,
      0.617997669918318,
      0.523467535231159,
      0.525577112441192,
      0.416235491547764,
      0.483640790977739,
      0.389296893955798,
      0.675100200321185,
      0.250023369069882,
      0.402922045948471,
      0.461958314918624,
      0.71519256337969,
      0.661870079087747,
      0.674144584926531,
      0.733996199487104,
      0.623291805153605,
      0.407897464204615,
      0.455853807903307,
      0.203516305218487,
      0.299265707899251,
      0.383542962280691,
      0.397160572927414,
      0.604693280833022,
      0.52635961765124,
      0.460564542909009,
      0.761401917843317,
      0.678395165977381,
      0.522957565009326,
      0.581194976660094,
      0.381717909128825,
      0.531512461381556,
      0.548647611597666,
      0.3009084813668,
      0.688190724918542,
      0.516120485988349,
      0.558065317915061,
      0.65904474156115,
      0.3821269589631,
      0.344436732094094,
      0.488912768917568,
      0.473193523243528,
      0.271718385787254,
      0.329546160099276,
      0.388898709511715,
      0.456020643968023,
      0.56376214962635,
      0.571931066514072,
      0.535299025485439,
      0.564724568427884,
      0.508005592823809,
      0.490214865159959,
      0.665391430865268,
      0.510330245835113,
      0.440674219765755,
      0.617477441676142,
      0.416903997428102,
      0.633709941595383,
      0.678060418532764,
      0.478723408357732,
      0.524128311092927,
      0.623449714949192,
      0.525757570558085,
      0.639311370528948,
      0.508992275080218,
      0.551509347038838,
      0.45344656102203,
      0.678119058349306,
      0.528330843506173,
      0.499241533611946,
      0.42037118660293,
      0.674303539647612,
      0.667633592553649,
      0.486158241066904,
      0.469005455454983,
      0.48517961726246,
      0.609742565915198,
      0.52614822303394,
      0.626094494164645,
      0.421864378255215,
      0.386096561643993,
      0.434361629594811,
      0.768095513092629,
      0.554328958577454,
      0.459187748672273,
      0.591167586976275,
      0.526589761749611,
      0.694133778786868,
      0.630963918871487,
      0.406760243002576,
      0.534380354261928,
      0.50451086929252,
      0.745758747399171,
      0.669786796281978,
      0.575819433824105,
      0.494985993787328,
      0.485377774292618,
      0.709768991357478,
      0.554047263081967,
      0.427521560543277,
      0.533499372917396,
      0.464474495564341,
      0.704097616149091,
      0.583422131177105,
      0.695222825591407,
      0.588559308200542,
      0.704259814775336,
      0.521897524596366,
      0.577210198380477,
      0.579041940404876,
      0.513271812439394,
      0.803264774685895,
      0.507147214169862,
      0.669695399397134,
      0.608830174540189,
      0.684988019736551,
      0.646173737189351,
      0.815562772138674,
      0.684235238195804,
      0.681420527416337,
      0.542276181508715,
      0.364726174086956,
      0.414086259934157,
      0.523714482952479,
      0.419350912260778,
      0.458429930324677,
      0.284261429579588,
      0.327752364925956,
      0.637553935559426,
      0.597396050699957,
      0.531706808790633,
      0.66057726354803,
      0.468601782265512,
      0.542650586793982,
      0.642812997241673,
      0.573212223581768,
      0.593509094418961,
      0.546013390836224,
      0.47734857676205,
      0.69477058730307,
      0.459183092748597,
      0.48103840938004,
      0.548783101357933,
      0.541730688677845,
      0.575792195017864,
      0.577843285881088,
      0.645360654147771,
      0.419544673228704,
      0.347337039436823,
      0.240385848502284,
      0.435894982143404,
      0.382700372058095,
      0.549248893258865,
      0.495482042195741,
      0.445458191557855,
      0.54224129308215,
      0.886238060326851,
      0.590291535296385,
      0.729249358105148,
      0.633224416210811,
      0.583845514525953,
      0.55444967238095,
      0.488914538540964,
      0.522410173085205,
      0.565160638204417,
      0.571078505992877,
      0.516955781243536,
      0.519082978905,
      0.621637515593303,
      0.573854587231792,
      0.530886953515339,
      0.844422940888363,
      0.651557621566663,
      0.706742639804568,
      0.5253888530802,
      0.513404145215579,
      0.624152838518373,
      0.634377874874486,
      0.590243798884107,
      0.623468871462954,
      0.620549955215484,
      0.729067505217172,
      0.557347870143474,
      0.638402175452411,
      0.556381614152857,
      0.742310060429852,
      0.547113137902319,
      0.617498381887558,
      0.795916989673379,
      0.639629217300727,
      0.733489947548631,
      0.547104799448199,
      0.581812309941601,
      0.455606306022877,
      0.614014462973558,
      0.618334509376318,
      0.6356782945693,
      0.576742267921433,
      0.803065179991959,
      0.552644350683756,
      0.649357309120784,
      0.588781653210639,
      0.567064994113567,
      0.555641381205749,
      0.575314357317549,
      0.458428652556133,
      0.58112185219227,
      0.526542200895894,
      0.749353638036523,
      0.711495970314664,
      0.631843407419957,
      0.617777681418072,
      0.67311683876958,
      0.503162852573752,
      0.472801310935653,
      0.693642642923014,
      0.580901259824945,
      0.635179040498791,
      0.609884408204451,
      0.72831985371083,
      0.64533323905166,
      0.768850100830479,
      0.575555115430766,
      0.658655989954807,
      0.672762087605893,
      0.618410080700472,
      0.573058491441358,
      0.528891567864624,
      0.872737285147718,
      0.684122188711673,
      0.629197569265385,
      0.409238708298686,
      0.280263733315818,
      0.606430962127369,
      0.489863257994005,
      0.849982581369556,
      0.679174853659949,
      0.571115183038325,
      0.647588813178737,
      0.630765726652076,
      0.563575058530757,
      0.861790028666055,
      0.510891416730653,
      0.555720025935912,
      0.775704829982369,
      0.839849557874115,
      0.546606078729951,
      0.525702969775061,
      0.582673286558716,
      0.631448561048563,
      0.586367883838405,
      0.490963649830855,
      0.654601702075774,
      0.460871760838227,
      0.692040841006866,
      0.651749498147736,
      0.470622140234161,
      0.358389592682775,
      0.465342539435764,
      0.623031216937029,
      0.538579599701858,
      0.604250558257435,
      0.585430361817073,
      0.618052714133786,
      0.651082247260368,
      0.541732488113496,
      0.771991848635209,
      0.611733151155027,
      0.636815438342456,
      0.581001548500878,
      0.830730611929539,
      0.622391256103126,
      0.481519253313494,
      0.605734817276659,
      0.565220262496329,
      0.696557988588016,
      0.588875830997404,
      0.658121921188312,
      0.526290311127315,
      0.67290898786158,
      0.513046689329978,
      0.576953832815285,
      0.69041154170361,
      0.515307710902685,
      0.409339667225332,
      0.571165502396132,
      0.54204569683604,
      0.651360389006025,
      0.79066248080494,
      0.518492251010193,
      0.827611029216975,
      0.846724724670438,
      0.48413509108988,
      0.61124838369268,
      0.480975472580489,
      0.512109810527697,
      0.653099066643043,
      0.589179693609304,
      0.490176789150151,
      0.722418519107171,
      0.492663447063391,
      0.376371440168799,
      0.57562108000969,
      0.606241654183126,
      0.41763003455981,
      0.629917139900219,
      0.743145825932165,
      0.603532714396743,
      0.562781504260672,
      0.442827184898295,
      0.375751298724013,
      0.585223616542304,
      0.546005376912368,
      0.589492513824084,
      0.632452902364509,
      0.520975886484857,
      0.602206097969004,
      0.651885027132354,
      0.640951973038461,
      0.501798707126392,
      0.477107937356759,
      0.59850866474797,
      0.631625630085014,
      0.600669097542862,
      0.577620329653917,
      0.572761350892834,
      0.564671126798956,
      0.276672585495668,
      0.560948221087894,
      0.392783485834925,
      0.384666458593275,
      0.634438301502634,
      0.581888975341989,
      0,
      0.281755087399436,
      0.305195454950643,
      0.349302581852296,
      0.145704016040829,
      0.628105408294534,
      0.378421680499967,
      0.635803015645821,
      0.238723334820208,
      0.218466839241916,
      0.463645625251906,
      0.347910420674415,
      0.299474266271862,
      0.000115580395775294,
      0.342177568501257,
      0.382035470623871,
      0.20634914404216,
      0.513937126430979,
      0.3839839776844,
      0.28750495703181,
      0.160026387101694,
      0.235284212556483,
      0.378358436185343,
      0.141674462576055,
      0.529668658268274,
      0.377759567741066,
      0.349342950429651,
      0.381377833127293,
      0.160575671023974,
      0.339882399030173,
      0.362846518941415,
      0.349150231535798,
      0.444497248546731,
      0.531839531044896,
      0.657024941764963,
      0.149874380060987,
      0.246922470290138,
      0.542100046335048,
      0.164953380318265,
      0.29009298970415,
      0.0227621795826401,
      0.14749802493218,
      0.225450242146884,
      0.121911068712243,
      0.467073697367768,
      0.167964567782925,
      0.260020202922777,
      0.397871814044631,
      0.391483739561262,
      0.170062841402642,
      0.415331760381783,
      0.356820018855302,
      0.581816461771076,
      0.153964513825078,
      0.352862895238583,
      0.225542016083019,
      0.435142895171536,
      0.218471256327704,
      0.327253330952493,
      0.387635569089746,
      0.368325149439263,
      0.508952887456931,
      0.3491257311299,
      0.502968433271463,
      0.484398579342236,
      0.493409285875205,
      0.436400315078401,
      0.371401593704806,
      0.453087615359525,
      0.501624837118528,
      0.514619466226886,
      0.235459393926009,
      0.43707452431477,
      0.640377844000663,
      0.604257417128236,
      0.429773402931499,
      0.23616173341756,
      0.466929146163288,
      0.464816969242367,
      0.381554907736729,
      0.472168094223155,
      0.28873889032362,
      0.372532090245073,
      0.333059375033223,
      0.111318786070212,
      0.664868830459047,
      0.41708357361859,
      0.407076274643666,
      0.310032766166344,
      0.402187214522656,
      0.565791321976015,
      0.511718030887017,
      0.401177997779102,
      0.530681108787918,
      0.405232964493477,
      0.413992140951837,
      0.513356188917839,
      0.44433547090687,
      0.6123704923756,
      0.386654010955854,
      0.482255992693658,
      0.203452867695402,
      0.232081974495362,
      0.237289602927058,
      0.183988381211706,
      0.425094300290093,
      0.291797518919633,
      0.32481308021263,
      0.305311331246056,
      0.538153661726831,
      0.667254007385684,
      0.485393542580854,
      0.649473903916228,
      0.553243811867107,
      0.371187797708031,
      0.57075859232002,
      0.501690878696127,
      0.44156586794935,
      0.582925665507553,
      0.226505226466439,
      0.540929976168321,
      0.520436743811472,
      0.676181213771096,
      0.489107303915065,
      0.512058262751927,
      0.507786236705117,
      0.509680757371596,
      0.610397610748554,
      0.403501730610246,
      0.380089166179274,
      0.375325773975106,
      0.510454194998509,
      0.561825825540714,
      0.478177835128787,
      0.600724907246018,
      0.48002743692204,
      0.64362050035156,
      0.408363554194769,
      0.400420570501574,
      0.50928125165829,
      0.653955292505613,
      0.628914498166249,
      0.423997289299127,
      0.430689426779006,
      0.515911017376942,
      0.307533485154922,
      0.386480157759241,
      0.571695060798093,
      0.410557996146167,
      0.458103275453743,
      0.648447196854183,
      0.541598507884146,
      0.616890698140757,
      0.483729180015243,
      0.399953694381349,
      0.354570353303611,
      0.375664007434803,
      0.540632172342416,
      0.693243786962768,
      0.788609835486876,
      0.488440651723083,
      0.448583961027784,
      0.651005564580053,
      0.442305441412172,
      0.42100111157298,
      0.458192805481509,
      0.398832500107214,
      0.570382208750085,
      0.676523037144405,
      0.649801351867095,
      0.442516156273866,
      0.455198896982934,
      0.437957006305406,
      0.433002483381848,
      0.443968716830652,
      0.417889445037137,
      0.242589020845531,
      0.470993875649754,
      0.30061689436061,
      0.534595622804683,
      0.438097444144015,
      0.428950230382396,
      0.50204580963246,
      0.389686829698198,
      0.425159980413041,
      0.33198846855716,
      0.251092377091523,
      0.175291455682423,
      0.443179919506794,
      0.24019075178944,
      0.286164020449879,
      0.44857744280154,
      0.299943954876698,
      0.46071448983311,
      0.431566018357011,
      0.306421334110306,
      0.50538944816533,
      0.361735725078153,
      0.423741450047453,
      0.447711554393797,
      0.195750983996515,
      0.48654851581687,
      0.261825513546229,
      0.632463226772545,
      0.3878426582199,
      0.530165390672745,
      0.474621328177508,
      0.376878523390949,
      0.335211199114652,
      0.327141899456724,
      0.337363075945079,
      0.313078250469877,
      0.398714476129458,
      0.575781929847831,
      0.442739162164246,
      0.401937290461102,
      0.46190196889566,
      0.492839901272269,
      0.435899988535754,
      0.521991165587473,
      0.333114760996754,
      0.319697676481866,
      0.594119155452791,
      0.400567466268505,
      0.585002655086273,
      0.489960700997765,
      0.459926784763388,
      0.447163311982319,
      0.498490626366039,
      0.497923839226999,
      0.448086917574895,
      0.475005739194688,
      0.478621449845683,
      0.508729606894846,
      0.655335842643613,
      0.447355522595219,
      0.491719864829336,
      0.391474345600441,
      0.643277897249344,
      0.624700081330221,
      0.376508771739822,
      0.385739647262569,
      0.418527792596865,
      0.481558590027397,
      0.467708664336549,
      0.541947000425142,
      0.500561409188201,
      0.393577668608543,
      0.422467958917063,
      0.508273314648422,
      0.489581389172887,
      0.417331445281696,
      0.576261813591081,
      0.340759092183678,
      0.612631559345007,
      0.454990544002852,
      0.416267953095407,
      0.471052279286132,
      0.472324565388675,
      0.546405447690369,
      0.48360114273037,
      0.57763011417466,
      0.435633499326547,
      0.427419917756568,
      0.638691086945791,
      0.43839876921653,
      0.397258890893042,
      0.553244995820157,
      0.400707760700468,
      0.568547906110161,
      0.538475190607125,
      0.559219918994454,
      0.560002374700763,
      0.455722790224997,
      0.517539621236257,
      0.528503994338038,
      0.619104666137792,
      0.607198849064411,
      0.654182537371688,
      0.571754464885969,
      0.516868223603049,
      0.459276554254535,
      0.480737979896834,
      0.459574692928524,
      0.716078687551139,
      0.580137808681759,
      0.515324330519141,
      0.496217377732015,
      0.287928986129211,
      0.382634487571295,
      0.557312383242526,
      0.376786700227393,
      0.429100035792249,
      0.411427492043513,
      0.358286760730195,
      0.584382822472502,
      0.324134329802052,
      0.398844338243172,
      0.642849223260804,
      0.427365412062465,
      0.442263724537984,
      0.503550060495531,
      0.511868933608094,
      0.527649355668896,
      0.43417278880556,
      0.491770684999983,
      0.74462216394854,
      0.391350049775243,
      0.306896374944253,
      0.387798543190227,
      0.427351807599412,
      0.58740399735053,
      0.479563559659726,
      0.579106664534137,
      0.430773943804434,
      0.450447920710307,
      0.248171819875106,
      0.387797298895343,
      0.336516494540603,
      0.486721674939405,
      0.425389549521335,
      0.442409300354762,
      0.482201505564927,
      0.804873666140999,
      0.411845273721681,
      0.636470514148088,
      0.50037843852315,
      0.502480240975993,
      0.455875098799071,
      0.391494033574321,
      0.422378958639162,
      0.478925092820605,
      0.537907721447621,
      0.398633044951926,
      0.446435516198677,
      0.38108379023781,
      0.347688188842498,
      0.577411769508435,
      0.691795789643534,
      0.458177943000753,
      0.663975957851742,
      0.512831955529112,
      0.382341416151742,
      0.50034039904722,
      0.436129820947583,
      0.49139238862775,
      0.442403973679075,
      0.353915038587767,
      0.861429270129836,
      0.468825556887549,
      0.434672144940388,
      0.438790914489918,
      0.691988034945918,
      0.499602291460435,
      0.332248276125458,
      0.803834688047883,
      0.598727426848696,
      0.491852752894561,
      0.626932080888948,
      0.458427011677646,
      0.396299414109321,
      0.556577336612206,
      0.451188457525163,
      0.529865972170962,
      0.492156277144797,
      0.758950824651415,
      0.475657158312307,
      0.516601982914091,
      0.578223764351068,
      0.556636180945879,
      0.490556638278399,
      0.517191087884761,
      0.399382858606212,
      0.560741927257169,
      0.469925794092061,
      0.554894382685668,
      0.528692782871016,
      0.450679649101657,
      0.441016681657622,
      0.574028043027278,
      0.470547233773936,
      0.428073106730593,
      0.625714559614561,
      0.524019770410309,
      0.527840409314819,
      0.418909864843364,
      0.502577946026731,
      0.748591364575822,
      0.593830843101386,
      0.537808632744043,
      0.554891410542162,
      0.503228333150684,
      0.584235735376986,
      0.443914791471749,
      0.43029515771461,
      0.833177328141446,
      0.586188075751512,
      0.476253889157677,
      0.343664644828296,
      0.2616114333633,
      0.571291234926944,
      0.332539141631661,
      0.86372679968775,
      0.564316965516297,
      0.488872549727991,
      0.615663497264848,
      0.533367832444544,
      0.548872065602188,
      0.879106337140685,
      0.541059615690009,
      0.588180170127952,
      0.733338455072276,
      0.713137878110067,
      0.372987219183647,
      0.475761837401055,
      0.577134284709957,
      0.521032626032532,
      0.451675906942469,
      0.509766654057306,
      0.558489686061849,
      0.527484504019,
      0.514601256016234,
      0.521353291048289,
      0.374238631705236,
      0.354158002858706,
      0.451733018993512,
      0.588158328400002,
      0.413622459707331,
      0.484751942357733,
      0.388906788040969,
      0.542711463348799,
      0.653162036260569,
      0.396254980500735,
      0.676778630697231,
      0.463562421975153,
      0.406350869738047,
      0.573079763663287,
      0.841811703357279,
      0.520524729758617,
      0.509098476403096,
      0.439542542068462,
      0.581793217903569,
      0.528341376612085,
      0.453427052704047,
      0.461067934875464,
      0.631625652231732,
      0.624964293627491,
      0.483554871754781,
      0.456745142790747,
      0.591693859598225,
      0.437119196124049,
      0.438731079454587,
      0.507036639120471,
      0.424468756227046,
      0.446641207509809,
      0.647675030140308,
      0.415854410293783,
      0.604582319860961,
      0.806648202652696,
      0.466519972090197,
      0.649874749680737,
      0.49640073032311,
      0.525498629228775,
      0.462600715580227,
      0.541430683883406,
      0.5496670107663,
      0.61654331732609,
      0.563864368227634,
      0.380228362622585,
      0.504519983421125,
      0.60093524961432,
      0.430159898777839,
      0.499162802390093,
      0.621545633315498,
      0.415845273888264,
      0.495027938339514,
      0.399278653959045,
      0.392024155123143,
      0.493429152714859,
      0.672012219642318,
      0.439065230276804,
      0.571908309162223,
      0.393373942440322,
      0.545888588483895,
      0.466538571421833,
      0.449599163510311,
      0.446861814517479,
      0.395841613061365,
      0.576934723734137,
      0.468210258564824,
      0.424443375238692,
      0.389265708031904,
      0.379519926776628,
      0.542969260409837,
      0.232997853948039,
      0.419414327551127,
      0.363783091766681,
      0.314264632533771,
      0.66473391329942,
      0.441767288239706,
      0,
      0.229290882650684,
      0.194117047042135,
      0.653355997536195,
      0.167630707269306,
      0.340375524001599,
      0.262700871646008,
      0.420917406074505,
      0.348802562616362,
      0.139760029300225,
      0.55682631130741,
      0.26141661934954,
      0.153520189483583,
      0.0151648967589067,
      0.295887653596939,
      0.406292701243717,
      0.213440760372669,
      0.424729642641025,
      0.458491568867393,
      0.0814961502984954,
      0.150005840802604,
      0.16179772059631,
      0.38894454112233,
      0.205282805358233,
      0.444617661308378,
      0.436597064980384,
      0.338139995124651,
      0.371798466327684,
      0.184970417556977,
      0.253401107455399,
      0.311501342114741,
      0.32971804302619,
      0.461900237554357,
      0.501571239597237,
      0.600197879203767,
      0.233375084601021,
      0.200617856925672,
      0.459943952952658,
      0.0957067189595604,
      0.298103156578329,
      0.00943950116566256,
      0.134860413261309,
      0.226920371420914,
      0.28358150973193,
      0.458345617108411,
      0.250024229834507,
      0.281052800575736,
      0.340095020898802,
      0.618611083264454,
      0.261615411981028,
      0.224635235143256,
      0.435981877289926,
      0.622699903057195,
      0.15226829571316,
      0.292263140414042,
      0.263143595751047,
      0.43579165507112,
      0.305798552995896,
      0.360930447803902,
      0.356521558527813,
      0.378571889910507,
      0.537826980244975,
      0.359039484099619,
      0.470858450691383,
      0.412095206275714,
      0.521892705792928,
      0.444995140866144,
      0.399547066324914,
      0.378471682728397,
      0.627813728795077,
      0.553139246435312,
      0.342422372498003,
      0.437584574676081,
      0.475800496190823,
      0.65355622507757,
      0.450034461798119,
      0.217302955308448,
      0.345963400952177,
      0.496741905047408,
      0.391454991042789,
      0.448376691161008,
      0.53377122187304,
      0.304666489122458,
      0.187913306473446,
      0.0838050905909027,
      0.682950734581324,
      0.45159664563463,
      0.460718873346151,
      0.363471770468162,
      0.310499804686499,
      0.560057650431261,
      0.499534107979771,
      0.42584470824405,
      0.598155403145789,
      0.40932494475391,
      0.430658423136187,
      0.450048230687357,
      0.343320823241814,
      0.579528000025832,
      0.347936293143059,
      0.505503334177602,
      0.172238807282736,
      0.320481633100716,
      0.269147948756137,
      0.339835826194309,
      0.425893707518623,
      0.323069488572785,
      0.365130253610382,
      0.295489285751633,
      0.592673045592026,
      0.521036444227113,
      0.333895224235407,
      0.466841281624577,
      0.384299231350903,
      0.497205143764551,
      0.612322447088982,
      0.534866664815409,
      0.564146604454101,
      0.607467384695527,
      0.277237387090285,
      0.456593930991397,
      0.490554506390253,
      0.437558594493449,
      0.498878763670449,
      0.422777635792837,
      0.572660197470128,
      0.535219773939938,
      0.511175792846169,
      0.375925782714672,
      0.386467851380391,
      0.317905353877479,
      0.431133998052944,
      0.570622268384147,
      0.585044259529853,
      0.550072920401462,
      0.420061157547859,
      0.624193362021284,
      0.662415275926725,
      0.45490541732644,
      0.639237444191574,
      0.520111258355446,
      0.607716815846699,
      0.476356207585814,
      0.381136427008021,
      0.487694912267586,
      0.327421520074375,
      0.354017131769792,
      0.473314706578294,
      0.342135410453276,
      0.497896467476455,
      0.553089060205863,
      0.436205183827369,
      0.663506204559776,
      0.646138684643612,
      0.409351556892119,
      0.341346596388991,
      0.374327178307915,
      0.577337668752233,
      0.694982330249873,
      0.764853350223578,
      0.441888976082931,
      0.314440749097594,
      0.704789250520652,
      0.396600569155285,
      0.31641632551693,
      0.463511697178848,
      0.377317115875901,
      0.461699443976775,
      0.528479164830438,
      0.561107096602697,
      0.493755496089866,
      0.413116999753727,
      0.449226429295949,
      0.48228806094919,
      0.431064024354369,
      0.345400293228231,
      0.284776041215684,
      0.619231823306032,
      0.488096306133499,
      0.556874603981447,
      0.350487441219271,
      0.328033586462857,
      0.500581241244906,
      0.422041221283552,
      0.356883043323656,
      0.342708830230784,
      0.481092401964159,
      0.242574498017129,
      0.403945736704266,
      0.230973245140992,
      0.372808999170358,
      0.561969652061108,
      0.323111768862427,
      0.507768288908108,
      0.420976818738419,
      0.300399253782287,
      0.427127562993934,
      0.270736473598423,
      0.581535690220929,
      0.304256613467763,
      0.272835861859029,
      0.49904472513015,
      0.343261155051332,
      0.546423459902944,
      0.339274723134274,
      0.463199816770077,
      0.644289338268509,
      0.35844815334598,
      0.33906206116692,
      0.495001735090435,
      0.301793289312062,
      0.325210997983245,
      0.424050896640223,
      0.686227749875198,
      0.42409293300259,
      0.256555832995787,
      0.289599714405026,
      0.40354326532495,
      0.348159275423409,
      0.484554108038849,
      0.40946681753788,
      0.378128698883379,
      0.577849804952358,
      0.407622637993433,
      0.596625584407241,
      0.452932606663294,
      0.636814014832811,
      0.558873279223719,
      0.412879196438146,
      0.491315038761084,
      0.422162170696889,
      0.38611097708609,
      0.446118624696984,
      0.463149679026026,
      0.678630098200915,
      0.409043006141889,
      0.33983051383343,
      0.346818677862775,
      0.465163589360127,
      0.50519740375172,
      0.440654195844156,
      0.542805538292679,
      0.51066723473852,
      0.40820603502603,
      0.486537631380068,
      0.554295627753628,
      0.509784330147243,
      0.381523348476008,
      0.465100742587229,
      0.529609656711254,
      0.512460792668472,
      0.467514050234995,
      0.637929545585233,
      0.351460084297248,
      0.593158760679678,
      0.520531225251849,
      0.405946701103345,
      0.557813659670302,
      0.565094994298478,
      0.505553135810368,
      0.436338296226019,
      0.483652182633315,
      0.496773466733188,
      0.352556892081483,
      0.581580372478813,
      0.412066614355237,
      0.424383477125919,
      0.496554172449554,
      0.406326452185868,
      0.56252526810928,
      0.523146471268646,
      0.485418556737983,
      0.421931771458813,
      0.482739006442709,
      0.516940100996736,
      0.444642627507237,
      0.566150700443961,
      0.604367905591134,
      0.56645959804477,
      0.598347562108809,
      0.49168511729275,
      0.437669848177265,
      0.497632972176279,
      0.406589191054497,
      0.488595955014638,
      0.332853080639769,
      0.445883528642251,
      0.517844437287678,
      0.394576513338519,
      0.406940102436955,
      0.568721993348766,
      0.378244536141034,
      0.410848522754491,
      0.492237094250347,
      0.329423211311325,
      0.577592104833819,
      0.352183303782408,
      0.455445904177207,
      0.64879737873864,
      0.495995787521369,
      0.445272565817193,
      0.508355273835991,
      0.394472156807644,
      0.483362210864927,
      0.476424572251101,
      0.491618294923791,
      0.720325554081551,
      0.358728539225437,
      0.426466945617313,
      0.516327907255668,
      0.364444260131022,
      0.658024408405796,
      0.363385605526974,
      0.494541312275207,
      0.391260341789942,
      0.498048403956394,
      0.30026538072696,
      0.32488529320861,
      0.351595659922922,
      0.46269851516802,
      0.392073758492886,
      0.400691913722044,
      0.527236513026851,
      0.502241486017508,
      0.455601931767331,
      0.491543258793159,
      0.396647048186619,
      0.469370085616247,
      0.605645798803963,
      0.580687191464373,
      0.431286374305235,
      0.430145457682926,
      0.50901091754776,
      0.545193498935538,
      0.540505430746269,
      0.445602409056219,
      0.392819904596373,
      0.521793902837092,
      0.586081194385895,
      0.415340059997105,
      0.58718857639777,
      0.463179784389468,
      0.494118495792133,
      0.512176454768808,
      0.328946546691664,
      0.414147511055288,
      0.409383078469316,
      0.365912079368995,
      0.887361891715311,
      0.512311849243893,
      0.446642272525462,
      0.540633623263152,
      0.568101435596575,
      0.453775003754086,
      0.386209483571378,
      0.716352036357632,
      0.750040797709578,
      0.441334359270494,
      0.638722077336435,
      0.484870161452823,
      0.496527269780717,
      0.508436630638001,
      0.517843116021713,
      0.514017183320961,
      0.454068662335061,
      0.723530541176474,
      0.462656333517218,
      0.339094445486714,
      0.582156019387409,
      0.481269224389249,
      0.48816032983703,
      0.536019277023859,
      0.390938295496478,
      0.553274401898798,
      0.464247380936232,
      0.450629973265004,
      0.470202785136533,
      0.35083187313283,
      0.337964561242465,
      0.348288463081613,
      0.416247861967206,
      0.447459059001191,
      0.386036971564258,
      0.319092864576505,
      0.476171437408361,
      0.315823988889546,
      0.381913513601576,
      0.70734252470219,
      0.223200229354499,
      0.48339077677936,
      0.492489829653148,
      0.443289828867771,
      0.533555088147315,
      0.412042259448285,
      0.503249837225713,
      0.659371623347175,
      0.577276380158087,
      0.488526650845209,
      0.408613146730915,
      0.191817081117661,
      0.638894265302236,
      0.337035238485325,
      0.836135215462667,
      0.453753738648686,
      0.387751573700906,
      0.589710103824657,
      0.49684690985587,
      0.48861644113118,
      0.709941364500616,
      0.537501674461119,
      0.538866899508339,
      0.629432311629777,
      0.437838247998171,
      0.328461249792896,
      0.50889773862322,
      0.529839126780688,
      0.353212601471201,
      0.454809163710878,
      0.485628451383714,
      0.450405049124276,
      0.580816408797531,
      0.461551634858554,
      0.401803544586916,
      0.339214961918567,
      0.378776955800287,
      0.440522086186825,
      0.496349122737308,
      0.363318258576167,
      0.498376433840575,
      0.399798759808529,
      0.461840082708109,
      0.551988636655711,
      0.410868659502578,
      0.572645334963075,
      0.472908914120313,
      0.474132300437972,
      0.566064832847276,
      0.635127459240703,
      0.543887143805265,
      0.528828251254401,
      0.582807153151862,
      0.551166395465254,
      0.570056346546214,
      0.580913634741146,
      0.38543314204316,
      0.534377224521069,
      0.482439197165793,
      0.524712083806696,
      0.421276836759891,
      0.499281134348854,
      0.372616379414217,
      0.418302766813435,
      0.473315742913224,
      0.368031543218528,
      0.461477963866321,
      0.548513211655265,
      0.414338321352626,
      0.563517488441669,
      0.765788058958092,
      0.427491633036068,
      0.724368438967283,
      0.506904662794833,
      0.500180711439792,
      0.450002539902327,
      0.621067720404152,
      0.617686628357634,
      0.484325168190433,
      0.516029488076,
      0.352927705037743,
      0.466814957005773,
      0.577381877425566,
      0.339337103798649,
      0.503079979774738,
      0.605014815166203,
      0.423988005779672,
      0.487444175733796,
      0.459693375912275,
      0.479769772092298,
      0.506215225551976,
      0.66651763565984,
      0.52174896187307,
      0.440715787667583,
      0.37765430514119,
      0.585813168896763,
      0.346667894229756,
      0.310917368640858,
      0.378887647073304,
      0.387804859041717,
      0.53285567697519,
      0.43112347116348,
      0.355502870748333,
      0.384595535017201,
      0.336104404635081,
      0.539370379978754,
      0.307233126089111,
      0.354339899776227,
      0.404482975207916,
      0.278370854108008,
      0.639746674284899,
      0.415738419042728,
      0,
      0.223430316106637,
      0.243433262839461,
      0.677000474360151,
      0.115041831150644,
      0.281302532371647,
      0.205116673825373,
      0.276106518378081,
      0.424629022478117,
      0.253308734003555,
      0.543964464258049,
      0.224835422822691,
      0.0922971452748912,
      0.00849181246285391,
      0.203987213286024,
      0.433580004205211,
      0.286106840216346,
      0.451062591784647,
      0.479742542157617,
      0.0651143199534115,
      0.173577104168853,
      0.0871275185007521,
      0.354322083657447,
      0.224422934673408,
      0.518653902927224,
      0.495838997771437,
      0.543975975753027,
      0.66268119254654,
      0.47961048341263,
      0.208537919048623,
      0.345307699518775,
      0.337257855011707,
      0.451133643354044,
      0.41755096775235,
      0.381020881285119,
      0.461141712232838,
      0.51633411452105,
      0.674947133592947,
      0.366928316623125,
      0.20288812849075,
      0,
      0.148553949189242,
      0.246727321748965,
      0.47771811397407,
      0.588511970990433,
      0.345857106958042,
      0.28844076681356,
      0.438615451335821,
      0.648133224788116,
      0.593095826737551,
      0.523838369214684,
      0.61374981133054,
      0.59946249287624,
      0.224286559531236,
      0.282483797017175,
      0.22618997689528,
      0.472063458381504,
      0.335736676461131,
      0.381887687574428,
      0.385181437737602,
      0.350343655460251,
      0.431788623799067,
      0.377104650172479,
      0.481107550716127,
      0.478727838649374,
      0.586876628488053,
      0.636919350946518,
      0.722097748748126,
      0.431616224276283,
      0.732839601569326,
      0.54050161461834,
      0.536664185496407,
      0.530877935393601,
      0.290354761675746,
      0.707782098054419,
      0.471895195934033,
      0.20605856332633,
      0.355883716117422,
      0.480248877270571,
      0.394027922387404,
      0.455236109737489,
      0.705598420287951,
      0.384639352728927,
      0.1842673630142,
      0.510372743457827,
      0.659335887739137,
      0.58323357226434,
      0.549893940387156,
      0.482253231620364,
      0.409454530959813,
      0.68489408753846,
      0.631038810390236,
      0.408586277888701,
      0.613889313021847,
      0.412218786604513,
      0.513566926515297,
      0.48913179526772,
      0.434016848129668,
      0.518127487601402,
      0.437782425929736,
      0.499134055172784,
      0.201702725838798,
      0.480718982994691,
      0.321203077530765,
      0.533547907191841,
      0.478230393666741,
      0.514029610723079,
      0.549055706384832,
      0.498574817659396,
      0.659586924047934,
      0.520630933673223,
      0.315603537293444,
      0.653519057585464,
      0.569548714656338,
      0.737744752630405,
      0.729177683387933,
      0.513434478743262,
      0.71088282739412,
      0.703155152374502,
      0.475373758605607,
      0.693861289951956,
      0.547267850830673,
      0.351850357295793,
      0.486713518910577,
      0.440191349969045,
      0.582371588296416,
      0.549162827476122,
      0.381375569812784,
      0.326831843342454,
      0.318206496801491,
      0.318002087427593,
      0.391405530270158,
      0.561349348407825,
      0.565305048832167,
      0.620691719096689,
      0.56537618487437,
      0.59567121910333,
      0.721928246570886,
      0.670465348895812,
      0.670518640258936,
      0.527015812288898,
      0.678318249455141,
      0.564640823381051,
      0.724646898661207,
      0.616300188387959,
      0.569578284128726,
      0.433257432623915,
      0.436733055991589,
      0.332761996066509,
      0.51339355564805,
      0.655606813959085,
      0.382925232613166,
      0.531557645777967,
      0.6909100768362,
      0.448414665424371,
      0.305249637740824,
      0.325987936515681,
      0.618157131043582,
      0.707819549584656,
      0.545689349590614,
      0.472452011718715,
      0.437011955914206,
      0.684677869039889,
      0.496989795325493,
      0.485628969241614,
      0.518245437980403,
      0.528714815122369,
      0.538627217399517,
      0.608867662311863,
      0.508074056939202,
      0.605823734736996,
      0.610943067712854,
      0.463733692678388,
      0.543349143415816,
      0.4654126682004,
      0.395623086620312,
      0.306399073046349,
      0.783222054100784,
      0.777471775186304,
      0.476292716282526,
      0.33456206998875,
      0.25570618099743,
      0.479675157817916,
      0.467129316224201,
      0.353019457242544,
      0.449414873140854,
      0.4950937740286,
      0.3607645572538,
      0.412124055476999,
      0.396307814375973,
      0.397057500250034,
      0.568764131384538,
      0.478477800604828,
      0.544923672128564,
      0.449996941749292,
      0.366326292057325,
      0.445620575110961,
      0.414059596325942,
      0.702171321613909,
      0.512753749352859,
      0.307617164245665,
      0.490113190171428,
      0.380062238580797,
      0.519994645516024,
      0.400065127160219,
      0.598525793450207,
      0.651442190949917,
      0.427593207499683,
      0.456697584914405,
      0.4481936527926,
      0.344865702158027,
      0.369212923363158,
      0.418141577686275,
      0.753203902801668,
      0.460252290175487,
      0.274851294195278,
      0.487059663088955,
      0.459465146093622,
      0.361357463848067,
      0.528354745567714,
      0.613396173097888,
      0.444326234511257,
      0.772762439341922,
      0.427835752639323,
      0.683000934048493,
      0.491596871570289,
      0.80475267523425,
      0.726231524413764,
      0.488065744304428,
      0.46151375280837,
      0.459106851721442,
      0.395447380510563,
      0.514889187045985,
      0.514026760111426,
      0.676937913201498,
      0.577142449543885,
      0.318594468556641,
      0.340623674755647,
      0.552209877857292,
      0.613687244556546,
      0.596256918150508,
      0.745700420444614,
      0.723707290512457,
      0.490076020277027,
      0.436853634682532,
      0.746174702328889,
      0.458693027128608,
      0.569156173127254,
      0.607725747515992,
      0.512835003363893,
      0.731918558746336,
      0.579045939505355,
      0.720114109490944,
      0.383542559154942,
      0.565629025842285,
      0.532810978388234,
      0.394860294338758,
      0.620878658197923,
      0.716569482675371,
      0.456535603914068,
      0.467298474626856,
      0.620295326208752,
      0.629287073533204,
      0.350148657102359,
      0.572715927531621,
      0.425463150901753,
      0.506969691308305,
      0.514106077804076,
      0.563720129325462,
      0.620977614113019,
      0.666524863541805,
      0.500963515460409,
      0.459430121381774,
      0.665385963139585,
      0.517325266710858,
      0.605710979634666,
      0.491745183533287,
      0.562674205061218,
      0.498618638242151,
      0.626504759929597,
      0.582739882269175,
      0.518863094784667,
      0.629862264210069,
      0.628091367209127,
      0.581240480860693,
      0.34409550648446,
      0.578157962989021,
      0.55070636481317,
      0.619692914027882,
      0.537843523832278,
      0.81302286459735,
      0.535192386729588,
      0.540025014663647,
      0.634308539160713,
      0.455990745774148,
      0.594084654496357,
      0.627917685721293,
      0.455890965803777,
      0.749767145398967,
      0.592306428083485,
      0.516623572723598,
      0.481165437605722,
      0.498922828296795,
      0.429163021824559,
      0.555014594368279,
      0.45983508471012,
      0.641145841720033,
      0.563626045697448,
      0.579196806343119,
      0.648164122882594,
      0.587519727515152,
      0.651415107701626,
      0.476078094276413,
      0.377976553311894,
      0.576188261794137,
      0.502887230075896,
      0.38756625840425,
      0.433605180211069,
      0.505780110616041,
      0.530156356609805,
      0.60025030433145,
      0.58096441317712,
      0.620348786564903,
      0.450411420478548,
      0.514161669844941,
      0.487561775581568,
      0.546806948283833,
      0.63196124987882,
      0.738843502976473,
      0.706962801117527,
      0.610988931456687,
      0.531798834068548,
      0.469221506682356,
      0.54194423787291,
      0.515885673585292,
      0.535588501615906,
      0.425596474248205,
      0.563114024784745,
      0.652153028840847,
      0.497529903372563,
      0.576949497445932,
      0.516775071634169,
      0.456790274590385,
      0.559721369119297,
      0.348898154135091,
      0.418987347810281,
      0.545087764240464,
      0.550266704751204,
      0.769570410688108,
      0.758835309687162,
      0.466683140745942,
      0.652224663120185,
      0.518336395685975,
      0.615201977355038,
      0.54237418547364,
      0.619522795081761,
      0.841379328108286,
      0.528452705292704,
      0.652462080981313,
      0.61768416558137,
      0.470286360619417,
      0.497485827719078,
      0.62193171525955,
      0.512455621625833,
      0.600329006474837,
      0.661087911503822,
      0.569158243872886,
      0.398337312030749,
      0.564611966863374,
      0.474576172667986,
      0.414311777174593,
      0.556496600557674,
      0.522260869311534,
      0.545434008087642,
      0.517428283621246,
      0.449983964277974,
      0.55822831985364,
      0.323887515787123,
      0.352995858988452,
      0.405819508968493,
      0.334510483640722,
      0.547480160840794,
      0.5438816270643,
      0.334648509016305,
      0.543150604569323,
      0.394677855146821,
      0.382535936440102,
      0.516423709262157,
      0.570450642705853,
      0.48822303670604,
      0.475632271234913,
      0.403700845024987,
      0.370104094190201,
      0.390293875901261,
      0.634098931580007,
      0.593170814016498,
      0.6712934619371,
      0.594282035061039,
      0.411957664428499,
      0.235543858570772,
      0.618755850831878,
      0.551285240678768,
      0.705933140052676,
      0.484017109971281,
      0.314708324528678,
      0.509117830931611,
      0.424808849333675,
      0.562231360851024,
      0.588227402289304,
      0.611901952163549,
      0.577908758761139,
      0.530371397872516,
      0.547435822677023,
      0.563002334088737,
      0.567751790298669,
      0.504235684179921,
      0.415802011974215,
      0.420799034790032,
      0.518451413961772,
      0.456295648480156,
      0.621074386447377,
      0.441771026135918,
      0.404676315922878,
      0.327699810707664,
      0.361323569272187,
      0.482437705677147,
      0.481477632253738,
      0.511076936461146,
      0.481964985894114,
      0.416560750405661,
      0.478695261443143,
      0.412325122179051,
      0.406723020507262,
      0.571252859341083,
      0.573733063970765,
      0.54246790747685,
      0.629515735103902,
      0.576850365961617,
      0.57324321167114,
      0.523620242266808,
      0.822231979418109,
      0.601879523406053,
      0.577831897497931,
      0.543966401676963,
      0.393003726555023,
      0.663240170765274,
      0.487917711123409,
      0.557796568930738,
      0.632402406253579,
      0.552415635450231,
      0.357907281729421,
      0.37071769508961,
      0.501528235535404,
      0.63228337004329,
      0.436396276252754,
      0.645807221434729,
      0.536060754423068,
      0.526532144396742,
      0.701691450238715,
      0.412570982394852,
      0.807532502992475,
      0.634366436803839,
      0.535743415478126,
      0.540949992696382,
      0.63276241350961,
      0.685000962680679,
      0.644721489849764,
      0.478277291280873,
      0.396578152676249,
      0.408893297830795,
      0.516357229121761,
      0.359826566989927,
      0.506374252747153,
      0.587400924365006,
      0.501378541941116,
      0.737668457228868,
      0.540832391812959,
      0.521862762873903,
      0.531976727049726,
      0.605544717402423,
      0.549018504035114,
      0.412722333913273,
      0.490305247879892,
      0.59228236011494,
      0.422176967265223,
      0.363317960516064,
      0.373063108336382,
      0.498257077539892,
      0.586213167827849,
      0.569735957071063,
      0.45424682156385,
      0.407356020188665,
      0.387047037823159,
      0.509428504291585,
      0.344079052523004,
      0.460582568856709,
      0.365444873940239,
      0.309047739508282,
      0.58212728115709,
      0.402102710990584,
      0,
      0.285466680118243,
      0.235671749221071,
      0.422587391410935,
      0.158123505475775,
      0.316728421975377,
      0.279024926963559,
      0.278849814149346,
      0.320395897736049,
      0.30345087015168,
      0.398172362588496,
      0.311589914506819,
      0.0632917115877226,
      0,
      0.240989260105674,
      0.457761669997932,
      0.470605428798118,
      0.39177534964294,
      0.45997094143435,
      0.139719025205613,
      0.147750422067379,
      0.0575144410455082,
      0.289353033349563,
      0.179331529085798,
      0.526333192208826,
      0.49420488553394,
      0.572385741692323,
      0.662090989654687,
      0.509855158987307,
      0.183922478319513,
      0.388818059324606,
      0.274839390025728,
      0.383688566237472,
      0.261724023593104,
      0.325890659398867,
      0.431574544088475,
      0.543876784529229,
      0.678879250975794,
      0.388359035735989,
      0.233422438101115,
      0,
      0.126586760124846,
      0.252845896155754,
      0.486492869394484,
      0.507591272309076,
      0.2993294973394,
      0.299750204158107,
      0.512296572445435,
      0.524522791305539,
      0.623823923447474,
      0.553553870418023,
      0.666856423119055,
      0.531679981151207,
      0.236977275089685,
      0.27910610305825,
      0.225592594819984,
      0.466298033071493,
      0.338924931574389,
      0.352282690283682,
      0.35434727710045,
      0.428106917216432,
      0.419018734661051,
      0.515659041770398,
      0.423970893534701,
      0.519422116490819,
      0.66714845212018,
      0.635776528109675,
      0.817340052904492,
      0.478149355589487,
      0.799433643448659,
      0.544751579935269,
      0.592637992214693,
      0.525352439323436,
      0.298966198152753,
      0.70009476972746,
      0.503063137640835,
      0.237819304116562,
      0.269536934112344,
      0.454448905593674,
      0.351684639828069,
      0.439435673955238,
      0.664600339709354,
      0.494089651848772,
      0.186310875111516,
      0.542095213610266,
      0.661218571217793,
      0.871315107310095,
      0.56599393883685,
      0.510485196948166,
      0.425271196857236,
      0.750557752953342,
      0.848230012936795,
      0.558285884938518,
      0.667640080531237,
      0.441747597723778,
      0.560863411762815,
      0.553448852939294,
      0.450594153300931,
      0.515211742787403,
      0.443197379206084,
      0.461691838991621,
      0.198625012758993,
      0.426123871943792,
      0.317489476392399,
      0.552792578442375,
      0.49367346093981,
      0.77073592218078,
      0.508159877809924,
      0.478713274763007,
      0.690613868625199,
      0.532751834455627,
      0.294780924364075,
      0.626355073555793,
      0.538351926616826,
      0.791560048266816,
      0.803647309139322,
      0.744973372007808,
      0.80719675429001,
      0.774209768287831,
      0.507154940989861,
      0.776796073153493,
      0.558276697831201,
      0.367562200225041,
      0.487951135664769,
      0.454547237150876,
      0.731989118809119,
      0.546459896950321,
      0.380082255889888,
      0.423553954981716,
      0.384728054231219,
      0.327574436905545,
      0.428091334287719,
      0.593671296989971,
      0.576548448480706,
      0.809078322892857,
      0.593351111746566,
      0.578876517733372,
      0.62452597505751,
      0.67024980825255,
      0.598521896351844,
      0.503380191644655,
      0.68248595765847,
      0.636984015309079,
      0.778721399561198,
      0.604794001960348,
      0.692339180943822,
      0.49359516256271,
      0.432647073319376,
      0.280566392470615,
      0.542314158966872,
      0.598894002372017,
      0.382063363730002,
      0.55753609919669,
      0.59748211848986,
      0.569545528967207,
      0.304658623293204,
      0.34527337875924,
      0.613527113454426,
      0.600630893085201,
      0.497639696794416,
      0.49875152079947,
      0.446750129844871,
      0.606153783133284,
      0.528143883080393,
      0.502233471301246,
      0.757829668326601,
      0.555879808112732,
      0.543936520570322,
      0.671762235929835,
      0.521759828414928,
      0.672579954340518,
      0.717559911533104,
      0.496402736707406,
      0.54720217091274,
      0.431584470213213,
      0.354417097383851,
      0.303596422027477,
      0.803219899403716,
      0.77415865165848,
      0.402870993530753,
      0.296032881235597,
      0.275793195765268,
      0.332280171440752,
      0.46921758221704,
      0.433854123145573,
      0.379027647442571,
      0.414333499878415,
      0.400660671836144,
      0.43553766825135,
      0.357931876555671,
      0.397469058664477,
      0.550042854173736,
      0.510771013076356,
      0.552757301000039,
      0.435154652829029,
      0.383148613002962,
      0.495292897445649,
      0.434688432730607,
      0.733855982751687,
      0.504478089718222,
      0.279226435595007,
      0.493331220296959,
      0.432512558192048,
      0.560198109792881,
      0.422243000110508,
      0.561397481460035,
      0.533694187201429,
      0.484467686551562,
      0.404434194198193,
      0.368747453044409,
      0.455509016630018,
      0.483253172080381,
      0.451063779866211,
      0.70593673737905,
      0.507994059874248,
      0.4962209224138,
      0.52340223695569,
      0.474711940138296,
      0.405664934312407,
      0.57373353825515,
      0.57259119977692,
      0.600516324466982,
      0.798016233151277,
      0.630276196077474,
      0.742537494584986,
      0.491665698194794,
      0.729918224347563,
      0.746047453994737,
      0.523400024284146,
      0.520754315892944,
      0.442902159735289,
      0.352337538296152,
      0.55536802992512,
      0.545663790000628,
      0.584252604772833,
      0.573068080344383,
      0.309576408529491,
      0.351704789638937,
      0.580625822128593,
      0.643804684903769,
      0.619720113836908,
      0.701082201407373,
      0.707088779974892,
      0.52069054872157,
      0.433648296390237,
      0.767885089977684,
      0.50356918939176,
      0.604553628262985,
      0.664570720889103,
      0.447543301530915,
      0.737317530068204,
      0.554490701054834,
      0.635046755889522,
      0.334431842377101,
      0.576371070699569,
      0.535976146854525,
      0.380750191695283,
      0.613338259391974,
      0.742963622564871,
      0.529614778547939,
      0.406186632895102,
      0.641776357837415,
      0.654511867948474,
      0.358336459428091,
      0.516771101525299,
      0.451979409534324,
      0.463715120576867,
      0.591065033654882,
      0.574844786732848,
      0.613029329201161,
      0.676510791958619,
      0.498050919313634,
      0.497180743888365,
      0.679616524740789,
      0.611580891302212,
      0.688560253639858,
      0.487165920514277,
      0.487446081512159,
      0.599277389619462,
      0.637029846869885,
      0.6285001635604,
      0.802289019638397,
      0.577530858344981,
      0.790108795818766,
      0.520926588076032,
      0.328750127387788,
      0.606999191891293,
      0.527858038865948,
      0.659108129328623,
      0.55112435562293,
      0.836269516554346,
      0.543177314931985,
      0.570711371179101,
      0.646689674946008,
      0.469333652696798,
      0.607406549454663,
      0.644489349400975,
      0.460081086406528,
      0.785737722643628,
      0.680064436365798,
      0.559134136443861,
      0.490892886263905,
      0.54911141545356,
      0.436434426120747,
      0.576139903676876,
      0.465724441715221,
      0.498028163490716,
      0.549403842988838,
      0.707096451377608,
      0.606262573492347,
      0.570626427448111,
      0.587822615898653,
      0.567004241609935,
      0.315992886398472,
      0.753037336455291,
      0.44573456195263,
      0.378237658840068,
      0.584102112947268,
      0.565675020555588,
      0.569527062081113,
      0.647374918115776,
      0.637048872798445,
      0.648814735738466,
      0.483082315835167,
      0.551456202712448,
      0.519234805102067,
      0.572353392136342,
      0.607370257603836,
      0.678021488621748,
      0.759425852374456,
      0.637332423439732,
      0.636367541630249,
      0.607373580754883,
      0.381074970008758,
      0.466600984859072,
      0.527250362539652,
      0.507908055879156,
      0.622674198511375,
      0.688937109127922,
      0.515213272846809,
      0.489453018531088,
      0.563492604790404,
      0.459867653978721,
      0.578603065382276,
      0.374796723332736,
      0.414765228808841,
      0.547976848966885,
      0.584568727121993,
      0.656334519730943,
      0.866099341999266,
      0.527999847311854,
      0.628873499698345,
      0.556036349648078,
      0.657123946353389,
      0.6737866978002,
      0.658126504210085,
      0.853865442626939,
      0.556847948601217,
      0.684945388540744,
      0.626020542287256,
      0.451890450671649,
      0.50685697403149,
      0.604237123416035,
      0.500046366684641,
      0.640050053302677,
      0.586139211741288,
      0.658397214857671,
      0.512501712752792,
      0.571271596564709,
      0.47912873348509,
      0.394962199580271,
      0.570713179248922,
      0.636230871896491,
      0.640424636039564,
      0.548346359666133,
      0.462074847285519,
      0.562269323421441,
      0.391072657966715,
      0.38714876880197,
      0.381089897521916,
      0.39356091647139,
      0.588953484326842,
      0.613732203568761,
      0.40547473474485,
      0.515281189466847,
      0.42371241568665,
      0.406430754367317,
      0.391566048473166,
      0.589182024855695,
      0.496037428354134,
      0.540448784464651,
      0.439121044413961,
      0.376420337371306,
      0.709467643124838,
      0.673952381853198,
      0.574703747975878,
      0.856806355310201,
      0.6358665222994,
      0.380671738639257,
      0.287629632235439,
      0.604491019369492,
      0.577746026438802,
      0.537064936289084,
      0.545789521809638,
      0.36870082536186,
      0.54899955276164,
      0.455786569287632,
      0.608748883768811,
      0.563630601579173,
      0.71094661993768,
      0.559342185038102,
      0.469127811554418,
      0.54968230992518,
      0.5983106685214,
      0.480422148293799,
      0.527237307566539,
      0.436705743476551,
      0.428289826561358,
      0.553300475382684,
      0.51967015105094,
      0.563082503496369,
      0.56041823857235,
      0.57111578184989,
      0.495820765079265,
      0.342416274400601,
      0.715661248434725,
      0.501492802368441,
      0.557497909570485,
      0.547740871207103,
      0.409649779179927,
      0.593987774124157,
      0.501159205543513,
      0.454955683978187,
      0.615012177627104,
      0.588546789330807,
      0.742851338188374,
      0.635530861921301,
      0.626609072710952,
      0.611851302200316,
      0.56263850164683,
      0.800780949084377,
      0.544232805888264,
      0.641989009695394,
      0.453488209781627,
      0.356208707475971,
      0.606623197686464,
      0.513419892217843,
      0.523669252400287,
      0.624361600154401,
      0.589322010037619,
      0.341890159181094,
      0.29956676656904,
      0.468976510973217,
      0.665862464461587,
      0.426083325172584,
      0.609898174480813,
      0.53442520319097,
      0.571510076574838,
      0.621460768474291,
      0.442571201254143,
      0.778736495063723,
      0.671617795942592,
      0.536295614304678,
      0.601155335410473,
      0.559065041664524,
      0.748634444864691,
      0.668753490219694,
      0.491554506620206,
      0.388764013058384,
      0.398599946909239,
      0.498384441397131,
      0.384951951516856,
      0.514224616912926,
      0.612934613963658,
      0.705127985106985,
      0.763164914692314,
      0.591941329658794,
      0.570668120113929,
      0.503668505811662,
      0.483811404799606,
      0.594553005553698,
      0.399177942500392,
      0.493200413298763,
      0.599841388396347,
      0.518109117765229,
      0.45884897554166,
      0.395456532465635,
      0.686748593253019,
      0.5422944668624,
      0.547318012297841,
      0.479872029580093,
      0.45887101576223,
      0.642364572172947,
      0.486679424462434,
      0.400470073418486,
      0.404302834117813,
      0.324391963533396,
      0.444298602351919,
      0.408001170805423,
      0.436594743832134,
      0,
      0.323297057521332,
      0.247752134128457,
      0.376851795509186,
      0.106745363141889,
      0.377135562587958,
      0.286075937585121,
      0.285744696934016,
      0.0204500695432614,
      0.187193751166335,
      0.467860928283282,
      0.282225998307172,
      0.151337460134562,
      0,
      0.249298981703496,
      0.46614867580965,
      0.550385739995224,
      0.366109731023428,
      0.337340968091765,
      0.164292402902601,
      0.115858003081631,
      0.0644555958545855,
      0.153792211109129,
      0.141941672612541,
      0.309971415619564,
      0.427681657273571,
      0.38567298325581,
      0.39757423976087,
      0.233578624670153,
      0.0882460960401991,
      0.391871460180944,
      0.327337752585554,
      0.431612910109661,
      0.081622862565069,
      0.333266713808416,
      0.154993889952116,
      0.260325824590508,
      0.406696702744811,
      0.257544381663503,
      0.182761472714946,
      0,
      0.163453273342865,
      0.219921577612073,
      0.310089800475974,
      0.220860244905603,
      0.282753351098512,
      0.307400704694226,
      0.519075948040993,
      0.422318702942338,
      0.359115692404817,
      0.347221748574545,
      0.720961461688084,
      0.478930113009608,
      0.336148606367365,
      0.378452160129441,
      0.396311864203013,
      0.514316728592687,
      0.496174805287695,
      0.526432031650641,
      0.48510299822785,
      0.61530580849422,
      0.523534082594573,
      0.672570979369432,
      0.518000131298267,
      0.514134496784044,
      0.610160433950147,
      0.484854992398414,
      0.635550959906257,
      0.521934850956629,
      0.691858714944885,
      0.458923084217971,
      0.440210745209925,
      0.344270108645407,
      0.172491502802572,
      0.539684691579411,
      0.518687230298612,
      0.227687700673857,
      0.3357182790517,
      0.451061984865384,
      0.391466572243443,
      0.444436357549359,
      0.363386976145472,
      0.536928231046778,
      0.101774199279326,
      0.277871523621914,
      0.585932647587754,
      0.846414514477617,
      0.374092412615438,
      0.296923881900151,
      0.243382011387336,
      0.6166263781815,
      0.853596960286736,
      0.729482418095498,
      0.714945209674358,
      0.499134869797643,
      0.497971008065621,
      0.420032095719632,
      0.344881640838252,
      0.48923556944834,
      0.38098349260431,
      0.482328787934309,
      0.176864296785873,
      0.294590404075048,
      0.219774880732792,
      0.318424313244498,
      0.42330089502999,
      0.739278331823458,
      0.488891529463809,
      0.51473980017022,
      0.568581110352736,
      0.502004582178923,
      0.412471424489064,
      0.475452048462915,
      0.459865106744244,
      0.658176763576196,
      0.764751465353617,
      0.721374753351884,
      0.726100735054979,
      0.749982570453946,
      0.282637893621075,
      0.703514945395974,
      0.444674781559089,
      0.344870342273349,
      0.502048454295559,
      0.507161095332718,
      0.657086367650389,
      0.596440301450226,
      0.547025647564964,
      0.478310337332423,
      0.2682192617202,
      0.247188349501705,
      0.464996430024935,
      0.497984838270642,
      0.588250946767463,
      0.75603184651348,
      0.443221894248204,
      0.517355409841901,
      0.43548070856404,
      0.425652645965806,
      0.447406684447429,
      0.414389423379558,
      0.652325057789622,
      0.634796882864867,
      0.556333373639822,
      0.523252776923875,
      0.560116431168795,
      0.340630505289802,
      0.49419987603749,
      0.337970163016247,
      0.556673064977355,
      0.455079567808425,
      0.386005577879942,
      0.527454371973607,
      0.648487435683231,
      0.666454581596997,
      0.297253183770016,
      0.251080253660066,
      0.568769864467519,
      0.578229992517397,
      0.523865248052154,
      0.42665191425125,
      0.367535843945757,
      0.49255925015964,
      0.49535088641487,
      0.480141188522102,
      0.783425530485348,
      0.429808804429081,
      0.487734444041355,
      0.615895612449179,
      0.619138274438483,
      0.515834263554893,
      0.58406347159232,
      0.488106443219745,
      0.411908687526965,
      0.351704338067137,
      0.241276294824306,
      0.297721708244621,
      0.527463781828395,
      0.447355819664784,
      0.348533118198306,
      0.288998820284304,
      0.291437911414227,
      0.400862170045749,
      0.506758578929561,
      0.460080817325726,
      0.225466985082006,
      0.222017056917763,
      0.24968844602238,
      0.398897538924694,
      0.36374600534201,
      0.321402830667991,
      0.456823718911281,
      0.302143956558658,
      0.451557548227593,
      0.364631424110808,
      0.251363813921029,
      0.45712933752078,
      0.329314606369091,
      0.604739788308089,
      0.323319897909353,
      0.233682406598331,
      0.576361942130885,
      0.622101105422535,
      0.594515507008902,
      0.374951453963682,
      0.42775031419068,
      0.431970440379592,
      0.535699771665488,
      0.303026355304512,
      0.303269036923836,
      0.428710418618777,
      0.46784302169632,
      0.436142729989538,
      0.57882797975272,
      0.432538776871548,
      0.428059095876709,
      0.463374011278017,
      0.367319074109522,
      0.286304620102586,
      0.503068665852565,
      0.450897925582452,
      0.59074739910235,
      0.680272106956434,
      0.81436759777022,
      0.659846383959761,
      0.627569597355423,
      0.442980984787109,
      0.602427295560521,
      0.408944387405166,
      0.540528304474188,
      0.420539072461704,
      0.386406479842341,
      0.45378940531389,
      0.379880587491285,
      0.533325942037669,
      0.363200775054803,
      0.29063568087826,
      0.367120174756578,
      0.496268102922154,
      0.515859659502283,
      0.506701577353439,
      0.405609416368069,
      0.491824804798528,
      0.457376872377889,
      0.429291230637391,
      0.485221347231837,
      0.472005010412412,
      0.459392741650351,
      0.590927900470352,
      0.439702960002347,
      0.502164028798127,
      0.475022257858577,
      0.485579274150581,
      0.34749139618248,
      0.581430008615069,
      0.600616204488027,
      0.405694093597307,
      0.510931639589416,
      0.507292951653899,
      0.468330626518496,
      0.291263517145255,
      0.435366722496503,
      0.39941840038137,
      0.208722109749928,
      0.463209024296281,
      0.588775880329252,
      0.388195822042531,
      0.50235477877353,
      0.382498586389084,
      0.555042226935696,
      0.449694663686012,
      0.46287779290747,
      0.430932502324824,
      0.58076393788128,
      0.539585090203218,
      0.521682591081082,
      0.539267722342709,
      0.412145979351629,
      0.730615576719553,
      0.637643148716616,
      0.622671860944954,
      0.833605425144112,
      0.658039320256348,
      0.857694496883081,
      0.431725354057069,
      0.358059967903727,
      0.428350938522301,
      0.543392986400808,
      0.414773767930607,
      0.426716198671873,
      0.672296923676587,
      0.351801358060767,
      0.461870578071736,
      0.579495721957241,
      0.34286612000543,
      0.601426844750122,
      0.484473677061481,
      0.496297936232841,
      0.777490396193962,
      0.683582381455054,
      0.616127099819684,
      0.469644046262937,
      0.470890940687606,
      0.382189219611399,
      0.507007269436311,
      0.51724477270378,
      0.442540610557659,
      0.413125224804633,
      0.731685192721042,
      0.506774044746655,
      0.340319715123937,
      0.503420917342356,
      0.573303332996737,
      0.412548238364164,
      0.687541770779324,
      0.354330178058806,
      0.322438652366166,
      0.734093464511092,
      0.47951559190029,
      0.519194609558059,
      0.630113548409505,
      0.464975988823116,
      0.491203217693269,
      0.40243736230727,
      0.491639861800158,
      0.312211952251555,
      0.469876553098919,
      0.559511366446932,
      0.576222702238248,
      0.678121141850304,
      0.53668874550489,
      0.599060845599833,
      0.566036383633117,
      0.486736823850177,
      0.415164198311858,
      0.470151580262244,
      0.574286136101516,
      0.556914388593924,
      0.62309073934743,
      0.336977990669859,
      0.582215840103284,
      0.59800661182823,
      0.5915333601406,
      0.524717013609803,
      0.368329130454911,
      0.368542353423964,
      0.441026161639909,
      0.670713471433324,
      0.5782052359434,
      0.82191627212325,
      0.499249527932587,
      0.518513412410217,
      0.488038313441118,
      0.561596137524996,
      0.627599351144756,
      0.628379270930306,
      0.762827800535457,
      0.438596460328254,
      0.649564778963574,
      0.453498794354566,
      0.466087360378499,
      0.625586962533059,
      0.457419549339509,
      0.503918178188442,
      0.577554115662787,
      0.461168470913754,
      0.50763289335879,
      0.562734451940475,
      0.553994960398192,
      0.495021253103885,
      0.371559094760121,
      0.523262609168397,
      0.469496386308386,
      0.648452229534968,
      0.56065299795984,
      0.367950581999195,
      0.475556886741562,
      0.36323366774022,
      0.329120174374227,
      0.387171741327305,
      0.328637250137596,
      0.535281710028799,
      0.434351272758194,
      0.390366134937344,
      0.49659556541206,
      0.367331890629049,
      0.427981469687616,
      0.318274431647431,
      0.364943161377886,
      0.512556221064167,
      0.45843402241283,
      0.342103753054513,
      0.364389887735843,
      0.781750128857498,
      0.524120906282026,
      0.530975356503016,
      0.764440141952117,
      0.603640207400307,
      0.360958506695815,
      0.346758013260773,
      0.572874044567197,
      0.419203698667358,
      0.427102263242926,
      0.467260855808463,
      0.417468706228288,
      0.554771506236628,
      0.472217675312386,
      0.571301302953731,
      0.527336933077665,
      0.791444839624895,
      0.543209991376019,
      0.507567978747859,
      0.469115094777392,
      0.450959642391324,
      0.44882660120233,
      0.512931840541956,
      0.492444877258312,
      0.275303266661039,
      0.492455598989366,
      0.477620304773167,
      0.506483189792709,
      0.62118159467926,
      0.571382139111741,
      0.73311719378811,
      0.371035330871748,
      0.811360117220639,
      0.430309765973479,
      0.492838186023732,
      0.475915479650001,
      0.424538560023217,
      0.66354851197986,
      0.520956027288186,
      0.442348161794863,
      0.456001888892036,
      0.534080629043482,
      0.7968894700473,
      0.691009650231019,
      0.574789839562725,
      0.596865668913703,
      0.753005496712022,
      0.506601660475797,
      0.507342775734547,
      0.579243025105618,
      0.408032865057938,
      0.353616853933025,
      0.403982893957777,
      0.362021051740202,
      0.480357423297659,
      0.617280705153078,
      0.613421814786541,
      0.430284264090998,
      0.350048799456215,
      0.497864002120203,
      0.568595834978252,
      0.391580689407331,
      0.500555814896701,
      0.536182139467763,
      0.595653702160528,
      0.547517153928861,
      0.469591111171343,
      0.535587220295441,
      0.591577944164294,
      0.50325833596085,
      0.634956134782388,
      0.570408517598464,
      0.728275316068304,
      0.688377824642967,
      0.541250048955165,
      0.419576003443174,
      0.513023414238548,
      0.527043533341823,
      0.379820049740433,
      0.465198321246842,
      0.636173784100221,
      0.743784508235267,
      0.51433547516385,
      0.461177590535314,
      0.506170473716387,
      0.52490257988027,
      0.420361498566859,
      0.497544898198498,
      0.457760735274573,
      0.391734253939933,
      0.59758667992601,
      0.534198175460888,
      0.418514643308551,
      0.656095422573468,
      0.611165038199546,
      0.512486121562877,
      0.458447021794739,
      0.395146828645389,
      0.459862342469248,
      0.733851149331742,
      0.480768677996494,
      0.316469181052592,
      0.324667745875016,
      0.406712829704199,
      0.473748265898699,
      0.29519901330274,
      0.403423632297935,
      0,
      0.511187860131949,
      0.163412034613242,
      0.401474228910718,
      0.124487529145652,
      0.438403007562336,
      0.455243066961243,
      0.461651054694948,
      0.0615468300461963,
      0.152175676757787,
      0.494584917553407,
      0.245462989339872,
      0.280982603693994,
      0.0165991481653459,
      0.285852053815759,
      0.462679309650608,
      0.578690158277172,
      0.334913754886315,
      0.275690260450878,
      0.13786013802132,
      0.063306616197399,
      0.0387124820495436,
      0.202841940967371,
      0.0839364781602829,
      0.260866869020251,
      0.462535033613955,
      0.266207692018047,
      0.35191860809756,
      0.257031913922222,
      0.11965453305386,
      0.357214170588612,
      0.291198256215457,
      0.470787030815975,
      0.127476770235008,
      0.444339583705995,
      0.146404935817902,
      0.137444218363916,
      0.348464793817759,
      0.0701633685740668,
      0.141424173699806,
      0,
      0.158388466051893,
      0.239090303899028,
      0.221460707678684,
      0.213051182807542,
      0.351718306925845,
      0.295612160507875,
      0.461468827477142,
      0.374655627069949,
      0.233791646590317,
      0.578682289451253,
      0.565459554034566,
      0.511950649199667,
      0.342036316172475,
      0.36218306168837,
      0.365203076363882,
      0.485693447008188,
      0.425660427774474,
      0.442052336177665,
      0.454459761101575,
      0.542198924432524,
      0.522701986015605,
      0.576441108896431,
      0.499163955427972,
      0.421003667717414,
      0.595417676585892,
      0.538507623998328,
      0.456486697660017,
      0.60471331650828,
      0.475874494421526,
      0.432192746676553,
      0.404534869096793,
      0.380315892728241,
      0.247726600680687,
      0.373758650356858,
      0.531733968126119,
      0.262265640369972,
      0.273870655772787,
      0.465467593115575,
      0.442426123644129,
      0.520269987456699,
      0.276762025546057,
      0.490112218279864,
      0.0580978534784857,
      0.256271282320863,
      0.483511993502194,
      0.528061985170793,
      0.382532090464393,
      0.35159993314757,
      0.262406056685603,
      0.558634794083971,
      0.616291334694981,
      0.745215699899821,
      0.684171177657553,
      0.505384639968362,
      0.552133821797921,
      0.385090558325241,
      0.383573213179078,
      0.45225153254492,
      0.343933077384037,
      0.449219772273444,
      0.099096321172273,
      0.250299803799154,
      0.196053767639812,
      0.267864545036259,
      0.416660417308701,
      0.440170770064179,
      0.406852157431822,
      0.420409689379944,
      0.39187200294671,
      0.471376276898551,
      0.562891045444276,
      0.45930024468884,
      0.475301869373362,
      0.497287504338498,
      0.576460941875948,
      0.46304109168432,
      0.503975569013932,
      0.590790318607412,
      0.298425050949738,
      0.547151522701786,
      0.536916053473851,
      0.408472599054187,
      0.528692987256022,
      0.680945215242935,
      0.440172174753289,
      0.460772222464916,
      0.526852378600341,
      0.393027871720688,
      0.20887533133771,
      0.236667793160937,
      0.498191425985528,
      0.453339492531826,
      0.491829182255857,
      0.545703636078806,
      0.369782903752758,
      0.431082248374039,
      0.369774070139223,
      0.366191415071044,
      0.432340060136689,
      0.431954339925946,
      0.581428625156857,
      0.698307295890245,
      0.48378991873526,
      0.490362490815888,
      0.349834351000057,
      0.349179876622453,
      0.531651044822797,
      0.411369801720086,
      0.535576193572757,
      0.361531484874146,
      0.452239098207927,
      0.525124479978367,
      0.540660223428175,
      0.615356632719453,
      0.281382966161001,
      0.28683806840926,
      0.542195217362224,
      0.662110026240998,
      0.433808465213714,
      0.413667945856521,
      0.372810996270997,
      0.536388371792597,
      0.503957698649649,
      0.473438534732574,
      0.546188181561475,
      0.373269407352678,
      0.419206069271424,
      0.607990718716571,
      0.549293233889753,
      0.456101256255475,
      0.378430450260483,
      0.490922404033636,
      0.496888815370131,
      0.460569374459736,
      0.208633258956672,
      0.30843169999968,
      0.428791773492608,
      0.320805383442051,
      0.347573605567261,
      0.25381654127115,
      0.355037271681214,
      0.361448605623741,
      0.503867028219397,
      0.448182057534733,
      0.280717660237654,
      0.246158216837069,
      0.192733650444504,
      0.362376271078365,
      0.323769412095646,
      0.361550376762848,
      0.505302784666841,
      0.297713922793276,
      0.285950600018647,
      0.395821263837111,
      0.294102308762832,
      0.503211492121262,
      0.300980569552513,
      0.596992027522762,
      0.365105732881818,
      0.259332704205168,
      0.612957272751156,
      0.607831607827884,
      0.578751961699397,
      0.38534709930219,
      0.487217894759684,
      0.465506422765617,
      0.564692881039494,
      0.304360565181155,
      0.303245127174445,
      0.301884164714596,
      0.378879145697732,
      0.613222359738859,
      0.538436213677009,
      0.39703930663275,
      0.377743440503485,
      0.416493036298055,
      0.364654685686866,
      0.244286809905012,
      0.536423864886881,
      0.516264447888015,
      0.424107648001562,
      0.576526507415818,
      0.777609551508944,
      0.51477831196728,
      0.709720400863541,
      0.509828661911226,
      0.575243950534991,
      0.407248229217519,
      0.489343417299912,
      0.422750167534141,
      0.327455809116517,
      0.458154369300141,
      0.34528720490434,
      0.497511507328134,
      0.345934738538583,
      0.28482925711631,
      0.328494009136882,
      0.460350811807989,
      0.625947518427929,
      0.379476606312298,
      0.355976010254424,
      0.430075877902847,
      0.406057664586327,
      0.421798310213483,
      0.39908747430354,
      0.396805452980193,
      0.426693441175727,
      0.542396757913964,
      0.405409352365281,
      0.595722573882505,
      0.520755142688734,
      0.380552087050959,
      0.351866350468743,
      0.480446407964655,
      0.535497295559209,
      0.391071303425905,
      0.548535873529456,
      0.32226168159642,
      0.397586557855699,
      0.408708236333777,
      0.461356038537954,
      0.384504385263194,
      0.251217381167645,
      0.513879545979482,
      0.519452283682319,
      0.399033562277228,
      0.471482790433543,
      0.343802488890549,
      0.525596396646808,
      0.474244384937428,
      0.481477298975292,
      0.428940831584024,
      0.419365629721941,
      0.476274362632516,
      0.384743632425958,
      0.57580533143127,
      0.430187907086147,
      0.620879019230436,
      0.582682498981006,
      0.547243647162658,
      0.635596356760867,
      0.564142891975922,
      0.779799732224697,
      0.346042504721527,
      0.396230661042725,
      0.350002495260748,
      0.545769323866146,
      0.227619986202016,
      0.41037005828123,
      0.501081460336382,
      0.464952835501467,
      0.533447485928196,
      0.383690054645443,
      0.653024014690424,
      0.597860875558674,
      0.453707424236069,
      0.459077474120018,
      0.730412198505644,
      0.623987759618362,
      0.597555759030447,
      0.5427104479536,
      0.388806897554815,
      0.37418856268755,
      0.469254236001305,
      0.544356228493136,
      0.521745182239865,
      0.407676235305017,
      0.586124272182011,
      0.523670740387234,
      0.35025739282995,
      0.45959521078363,
      0.607725329535703,
      0.447041505791273,
      0.477482533439366,
      0.251160398108289,
      0.408087258543468,
      0.777415255847692,
      0.540510727499198,
      0.508782506388027,
      0.645051610843165,
      0.424119455972428,
      0.624228847612316,
      0.348846689761181,
      0.43548898220379,
      0.284504949738266,
      0.473441611254955,
      0.539864934016234,
      0.503526126764385,
      0.442928678760347,
      0.567424773866715,
      0.687624359544136,
      0.675367337926432,
      0.50104891616772,
      0.50091459298741,
      0.439577023126192,
      0.635813343556251,
      0.508347569669025,
      0.528717613453578,
      0.34578241872753,
      0.501279268487517,
      0.510619007340426,
      0.488478984026524,
      0.471200928984296,
      0.374381467185162,
      0.393728145556686,
      0.361479611283032,
      0.592193280220713,
      0.518206797569001,
      0.643793777361874,
      0.434519460978098,
      0.410201787887788,
      0.419778561565341,
      0.587306899352655,
      0.35951353902571,
      0.527828324370644,
      0.636427046361103,
      0.459241947753578,
      0.649226850219869,
      0.447634715068176,
      0.392161664748684,
      0.594115018273482,
      0.385264229781933,
      0.564060854222651,
      0.423790452371602,
      0.544807400617585,
      0.442536106864822,
      0.418592491135835,
      0.494370642517439,
      0.449027555671365,
      0.37832184193607,
      0.437233849488405,
      0.388331312354649,
      0.598421791569008,
      0.471903867609636,
      0.332680389557307,
      0.421631949654643,
      0.318247422602598,
      0.329557301363788,
      0.46101030964936,
      0.328123296566063,
      0.50450478069559,
      0.39721946889235,
      0.249990666291569,
      0.500478538202418,
      0.339611722324555,
      0.393739937249414,
      0.337882951859475,
      0.364577109174648,
      0.533465382576882,
      0.457708297034711,
      0.296271670878969,
      0.284767199472782,
      0.620687627391378,
      0.461120152069512,
      0.495942183894357,
      0.527128398938486,
      0.554929890749379,
      0.467100085890525,
      0.412929555850841,
      0.549357452317782,
      0.331019854890881,
      0.427685311753224,
      0.52553733245752,
      0.306124377408119,
      0.531321908313116,
      0.410957785885945,
      0.495580442254269,
      0.446168912089409,
      0.819162215816899,
      0.546962301684172,
      0.562772346920514,
      0.457973062949445,
      0.450289549221065,
      0.439145895846918,
      0.537499273978,
      0.533586783528704,
      0.356650944130399,
      0.498000885583498,
      0.367225666758685,
      0.493553421760068,
      0.479578927771175,
      0.370526013208992,
      0.749850351301065,
      0.400846021521959,
      0.778364014683744,
      0.436308754396363,
      0.535037468285146,
      0.612750931308195,
      0.458774834693195,
      0.592188249074502,
      0.51546654966115,
      0.484883115580108,
      0.406029299515239,
      0.564874447826063,
      0.630940218005942,
      0.648517178324149,
      0.493406926994718,
      0.558709687670089,
      0.777940183046591,
      0.521427390722732,
      0.48898967573194,
      0.490721915670367,
      0.379016901792151,
      0.421378236150367,
      0.363140739664781,
      0.375191608462127,
      0.421183890025515,
      0.454436031230043,
      0.548931564111238,
      0.380856183088494,
      0.389763840057883,
      0.473773562959802,
      0.544873783831911,
      0.433548351720516,
      0.499826142803531,
      0.523111558409701,
      0.57107858675491,
      0.501520417288775,
      0.582073360321986,
      0.484128016863738,
      0.48469752177313,
      0.598710118308024,
      0.574857838268181,
      0.546636303135374,
      0.723148606117136,
      0.618590065103845,
      0.484836228590558,
      0.683526955321135,
      0.482649156652536,
      0.492507358840325,
      0.352338366643042,
      0.48502936907425,
      0.706079527252616,
      0.705525108698539,
      0.486483531977388,
      0.271051667562942,
      0.492671653300096,
      0.523981343358052,
      0.441348564128217,
      0.335171507378478,
      0.411441048221348,
      0.367282834945184,
      0.597336953645484,
      0.64335646962693,
      0.337502831823356,
      0.691344856139481,
      0.3984666070421,
      0.442649235857666,
      0.45188462538948,
      0.421853705570417,
      0.72469284594286,
      0.597368514498637,
      0.476183100034734,
      0.371228080157818,
      0.368803988810375,
      0.415657917506062,
      0.374128961123922,
      0.31011055739944,
      0.396567656714581,
      0,
      0.754725765438967,
      0.148201311962809,
      0.41536472647947,
      0.149079086620105,
      0.489854576612096,
      0.501333698897691,
      0.637803136108329,
      0.141092372169378,
      0.130135081460464,
      0.346506800386115,
      0.269238598937109,
      0.297155958189956,
      0.0323766591570769,
      0.415261971371743,
      0.453696402546292,
      0.602664509096093,
      0.368564554666937,
      0.372323136612431,
      0.285848317842592,
      0.0664623317136285,
      0.0926800347403862,
      0.186375530576744,
      0.259519718730346,
      0.291375883671715,
      0.466861942823845,
      0.300691146244842,
      0.388547788109599,
      0.231360381614562,
      0.115517390751734,
      0.347850604044079,
      0.266366339241131,
      0.560467022023673,
      0.259413576988508,
      0.525120199355205,
      0.21310717185157,
      0.103150092243175,
      0.482051351933613,
      0.282876644204148,
      0.119129572790749,
      0,
      0.323678751937548,
      0.245362033096878,
      0.177673511762583,
      0.271820946219872,
      0.488030969403053,
      0.289359573836126,
      0.467987990819677,
      0.45197565899422,
      0.205615351093818,
      0.778450358303865,
      0.407996784768522,
      0.567307644224118,
      0.243711612161373,
      0.299253900210993,
      0.168484537936466,
      0.454912808993885,
      0.353407477686215,
      0.277588374785287,
      0.357665884047441,
      0.300873979638108,
      0.458501310874247,
      0.40157122725243,
      0.501313575970179,
      0.392832814670584,
      0.587445384287249,
      0.809054317272716,
      0.508937833862615,
      0.800582686890607,
      0.469939613467482,
      0.419016947076422,
      0.295989998065178,
      0.347839234192582,
      0.257395793811735,
      0.380520647212963,
      0.512800596256402,
      0.253022058527806,
      0.28387340212622,
      0.44641042342855,
      0.463450805991764,
      0.488128144847536,
      0.324768507867114,
      0.458239433760325,
      0.182607131897594,
      0.549794681531086,
      0.501356489760689,
      0.490518990949658,
      0.543783255404406,
      0.578057216993749,
      0.341143841815183,
      0.600101474006816,
      0.453841996898096,
      0.584570090203698,
      0.624641516932802,
      0.798997056150894,
      0.657804097986065,
      0.41411551606347,
      0.442005106323459,
      0.482424749931659,
      0.337178706371924,
      0.446940486519053,
      0.0716786497721588,
      0.265258480641823,
      0.284619493381371,
      0.219851839884003,
      0.422191082275404,
      0.32920344456226,
      0.393313583933258,
      0.232721924642674,
      0.559016905613828,
      0.520901013664517,
      0.713001968164614,
      0.531090601927033,
      0.55553174529478,
      0.474839680113554,
      0.51890483746083,
      0.4555970623054,
      0.635254889446093,
      0.523383265045251,
      0.38080468792455,
      0.513784294273284,
      0.600190704500562,
      0.380021978179089,
      0.531028013368957,
      0.691561002562992,
      0.416042554308237,
      0.479791316302603,
      0.684582077928083,
      0.48996988019784,
      0.42324448971048,
      0.374934099794374,
      0.536718608325273,
      0.439611732873183,
      0.511520026581662,
      0.553363868085831,
      0.528143165085129,
      0.518458855725898,
      0.527777053118094,
      0.419655069812908,
      0.421597917847554,
      0.418801342717482,
      0.568402075128422,
      0.816078391348547,
      0.520800077200297,
      0.513459364716706,
      0.393575496230149,
      0.325836570561655,
      0.519486536960376,
      0.504585969944334,
      0.526332532178618,
      0.500315172527702,
      0.592574507800059,
      0.518625292431221,
      0.512787301493786,
      0.560902891315927,
      0.509227547332528,
      0.396351022973784,
      0.530454157874047,
      0.70689686854326,
      0.433891003407075,
      0.419253650074724,
      0.325188640889613,
      0.563872460854723,
      0.563091935237165,
      0.680294509627635,
      0.424155301124555,
      0.304492382852661,
      0.395650839567223,
      0.607551370888292,
      0.697180593918755,
      0.423752579491577,
      0.377813980215777,
      0.494533398728992,
      0.468331796849545,
      0.466336088704837,
      0.288621627198133,
      0.381102755753494,
      0.4107237894947,
      0.378428633534421,
      0.341060987318181,
      0.202485335499189,
      0.348076237115441,
      0.273373717608231,
      0.476101899619373,
      0.606403346054709,
      0.236966252842682,
      0.287047551845923,
      0.268015953994317,
      0.360149029260973,
      0.338185797338966,
      0.334854127141138,
      0.485239954229234,
      0.546339141903046,
      0.352335112742696,
      0.483990502913205,
      0.522753281791479,
      0.631161268526496,
      0.279413155320648,
      0.653834683280562,
      0.434599823803103,
      0.333692477094201,
      0.71647557046922,
      0.516541318913426,
      0.561866771209815,
      0.650088234968683,
      0.527381675867108,
      0.473873086838762,
      0.407893122484514,
      0.234005137422991,
      0.310654396644578,
      0.355691416478628,
      0.396126367128599,
      0.647367866716948,
      0.46852338308179,
      0.328527918572597,
      0.520109553817692,
      0.559082047727156,
      0.49850887310634,
      0.414788856839991,
      0.539966160433161,
      0.591975221063627,
      0.506124528066283,
      0.567366461598351,
      0.472458239128815,
      0.47651940910119,
      0.555938895361964,
      0.415654924812137,
      0.543284429331765,
      0.498960472184649,
      0.526545470962495,
      0.505790211756447,
      0.611099296222087,
      0.506300980918127,
      0.3361705066251,
      0.532860520509666,
      0.468583326624776,
      0.412889464177938,
      0.346718304511761,
      0.545274920632126,
      0.642452140340855,
      0.492739968282262,
      0.391421673299848,
      0.444037155039468,
      0.505036634507786,
      0.543469817632045,
      0.467758756457034,
      0.358027338028499,
      0.411466222105699,
      0.512302855124935,
      0.500826378362773,
      0.626754350646102,
      0.516412360998875,
      0.343496219884615,
      0.557363359484797,
      0.48712027496143,
      0.509367208412255,
      0.707196682014789,
      0.56622909297253,
      0.532920068123738,
      0.531675344190035,
      0.528520986064621,
      0.580532026256067,
      0.428654930699962,
      0.415055783486456,
      0.511930176199959,
      0.568259025364578,
      0.513750002475824,
      0.545615254236052,
      0.602432099391165,
      0.559265676134658,
      0.552545794494862,
      0.522248751949361,
      0.515409840999517,
      0.514546548937987,
      0.452785939178549,
      0.445921172233349,
      0.559384502110169,
      0.482629609400234,
      0.509956962751051,
      0.583722645636329,
      0.802598992731127,
      0.48416039567297,
      0.785339090301288,
      0.544943591914123,
      0.332934173789919,
      0.494404233921609,
      0.445426914336251,
      0.526630929415122,
      0.199435790944397,
      0.404013092966406,
      0.520316844009053,
      0.526045626252762,
      0.737752223842783,
      0.379765348417465,
      0.758460284808241,
      0.631963384620078,
      0.459156945642395,
      0.455701872157855,
      0.702512693598702,
      0.621509623711511,
      0.534447513619273,
      0.508565799579851,
      0.34711383507646,
      0.434260044398393,
      0.51937792914782,
      0.520210930204887,
      0.51032313051697,
      0.704993057122318,
      0.491011608080023,
      0.71480963043907,
      0.559405311811044,
      0.439333726196204,
      0.574779721338955,
      0.423074940347834,
      0.463635668962659,
      0.218561078657985,
      0.423850172305476,
      0.737424154216954,
      0.748623766625449,
      0.526088120393353,
      0.740658596673223,
      0.399088135434744,
      0.661475743280444,
      0.519583181210936,
      0.563159868830676,
      0.462358480047148,
      0.606240523270047,
      0.53496125398496,
      0.533820573959409,
      0.465998738498702,
      0.590497327422173,
      0.810466350523532,
      0.663055377402601,
      0.547861695407326,
      0.647077191769745,
      0.492552356380698,
      0.682934459587508,
      0.444400484920202,
      0.54856865634427,
      0.542998012121175,
      0.469337311949206,
      0.516361524407762,
      0.348812644574853,
      0.557978027615029,
      0.484685753301017,
      0.680360464615965,
      0.464022314889279,
      0.43568694274933,
      0.540686049157038,
      0.482481061918375,
      0.516223607026497,
      0.510640667905869,
      0.626969603386321,
      0.713986004048759,
      0.277649970378897,
      0.511138397720997,
      0.585938892628803,
      0.44405614684025,
      0.589967432086289,
      0.472939914757805,
      0.468617008388289,
      0.581524045306368,
      0.370918647347198,
      0.609469252450558,
      0.46139219756462,
      0.679836439948683,
      0.522857819619823,
      0.373357498923286,
      0.453542681840532,
      0.505371474869739,
      0.41597943039973,
      0.463410339485302,
      0.398583860780254,
      0.676807594021618,
      0.36563900855852,
      0.2614087962117,
      0.439595632055257,
      0.451192216623413,
      0.3762991002766,
      0.444081471597584,
      0.507027183101504,
      0.469772122849873,
      0.421708755586288,
      0.456391433063209,
      0.583368574178395,
      0.59154776639391,
      0.398636551886546,
      0.397524322528008,
      0.29618045819617,
      0.520115578434146,
      0.509593699553827,
      0.348025993348378,
      0.350321275114574,
      0.385722415877853,
      0.392610596529516,
      0.467497494084026,
      0.525515410684499,
      0.472662084170753,
      0.447947720484974,
      0.37146389494583,
      0.580014703667936,
      0.348630460119501,
      0.443506809407182,
      0.632850765436738,
      0.457237204919979,
      0.523740858633788,
      0.565937684646869,
      0.573611359918018,
      0.502204626475183,
      0.64915479965658,
      0.615108563156078,
      0.574390365802365,
      0.565767008238536,
      0.5282953911435,
      0.466419378019709,
      0.703686809756493,
      0.526201608613294,
      0.417623326084668,
      0.541371997290714,
      0.35745589148004,
      0.565606232174581,
      0.502722914278647,
      0.527808886603127,
      0.602117602265764,
      0.472366491897434,
      0.668440433577925,
      0.580296825337782,
      0.590098883183176,
      0.73435951994932,
      0.604453755171743,
      0.449103374121137,
      0.52545914437411,
      0.500635707124798,
      0.467287575961433,
      0.773528475591746,
      0.408839447575983,
      0.668349535870624,
      0.581865721098527,
      0.51721406284641,
      0.573418379615793,
      0.461262576751866,
      0.543323503640269,
      0.521523812099213,
      0.47263848652155,
      0.440547697187641,
      0.515048159932328,
      0.449210131020878,
      0.446730995318773,
      0.483771680679554,
      0.538205434978046,
      0.416455528275587,
      0.366020825020043,
      0.474107787692421,
      0.5538093027544,
      0.438260778620557,
      0.517341628253524,
      0.792576000401474,
      0.531133121571363,
      0.51604997300678,
      0.72953213908386,
      0.530789293025392,
      0.413596583802195,
      0.790146465294902,
      0.721582753855846,
      0.535061007326207,
      0.725897316728446,
      0.389537337647518,
      0.471366087205882,
      0.731912437268674,
      0.452730107684034,
      0.555283783528436,
      0.368122704396498,
      0.560901914351381,
      0.732505747871087,
      0.615685894025253,
      0.496373125681806,
      0.369964032953083,
      0.499953665074235,
      0.581673272731065,
      0.53901703271177,
      0.395438990814258,
      0.442752858503114,
      0.422918011985904,
      0.55773575381079,
      0.584673599058681,
      0.447519073140196,
      0.587132586478846,
      0.419367444249324,
      0.475563416523782,
      0.440843630518014,
      0.479621224849725,
      0.755258788458025,
      0.390880382885395,
      0.474184258531276,
      0.317259546085231,
      0.411601589670074,
      0.420856585931732,
      0.462364408746583,
      0.29761309078641,
      0.412697472770592,
      0,
      0.734915360941117,
      0.167293991903806,
      0.422163777681648,
      0.183100083133537,
      0.581495444233055,
      0.361197800677022,
      0.701092906715946,
      0.157577022762597,
      0.125765811631522,
      0.325339365624793,
      0.393755549488964,
      0.24917955709101,
      0.0131947614971546,
      0.395355719088786,
      0.44682498457529,
      0.637686253469371,
      0.607799359288403,
      0.454770629545317,
      0.406989026800118,
      0.0942475204815474,
      0.173899223912379,
      0.179014806162171,
      0.338944698891142,
      0.371828420854247,
      0.47081499097706,
      0.405628670563847,
      0.528959533272111,
      0.138850775608737,
      0.147365805422352,
      0.289733834366704,
      0.261885113761294,
      0.775370539761441,
      0.281219866851817,
      0.604209793146841,
      0.200615265160752,
      0.109678593990142,
      0.489792348020476,
      0.370828414070293,
      0.195379672628576,
      0,
      0.362014813961577,
      0.275416272693611,
      0.131669551638418,
      0.325339168490165,
      0.485967110729429,
      0.296495611549604,
      0.389345262128558,
      0.706961604881949,
      0.186170045014998,
      0.745999484870324,
      0.453580611656355,
      0.560067123237368,
      0.377805758406471,
      0.3269735981952,
      0.25242302851287,
      0.444882602129718,
      0.338662162846558,
      0.290526959513747,
      0.387217909349537,
      0.27945126941212,
      0.521056931278641,
      0.416617198824386,
      0.474267594175239,
      0.475638581493807,
      0.56457130258416,
      0.799283936665035,
      0.457513097270419,
      0.810113168872611,
      0.455346566990616,
      0.386938682794293,
      0.310645056048283,
      0.327681557634114,
      0.343663255733808,
      0.409556028704044,
      0.503688004154122,
      0.25996461312705,
      0.315173469111596,
      0.69746471867095,
      0.375538861977604,
      0.417525895444498,
      0.34179369846021,
      0.384585593877324,
      0.201449733338913,
      0.584056907763063,
      0.485288471819025,
      0.42256710783548,
      0.62752305475558,
      0.677601424350279,
      0.434577203965337,
      0.578263804447758,
      0.486874625166294,
      0.393184802206634,
      0.642812019863449,
      0.81539776541667,
      0.677637510708095,
      0.534123460909651,
      0.540384915002738,
      0.524769713187833,
      0.331896132185357,
      0.44109393063217,
      0.152899119648027,
      0.287743243807352,
      0.233490012361465,
      0.169434237372561,
      0.399805737483585,
      0.34764558779351,
      0.368807708595909,
      0.158859744758811,
      0.596466221978274,
      0.542679287299492,
      0.701851928883412,
      0.55415169373376,
      0.422887502873878,
      0.387349942352251,
      0.519856567976162,
      0.468487565443773,
      0.647687189645991,
      0.595662928598831,
      0.503101038393801,
      0.547399508003916,
      0.623572904839797,
      0.42357730694267,
      0.480475754215823,
      0.608110679074636,
      0.461602377085903,
      0.623900705907344,
      0.751822782575102,
      0.541329762747696,
      0.460072878598951,
      0.433832066999163,
      0.689589188186054,
      0.395666317544988,
      0.478031067785098,
      0.600620063906486,
      0.713354591004805,
      0.568344953226258,
      0.561918793889358,
      0.472617297495963,
      0.453780440623037,
      0.514726834333358,
      0.695054874734467,
      0.737994175739513,
      0.592145799107656,
      0.506764558231137,
      0.430892004778998,
      0.318987439783724,
      0.608555310806089,
      0.537791368572851,
      0.485968138438679,
      0.582098316963385,
      0.657700769114959,
      0.517942230532761,
      0.577215059890023,
      0.480878078662591,
      0.530162099551407,
      0.408217659059535,
      0.593744332913198,
      0.73894894779445,
      0.389431207983217,
      0.520814017455545,
      0.464954802148893,
      0.572715104024727,
      0.636393669553925,
      0.738410648548868,
      0.390082447318788,
      0.335691321382119,
      0.517677374557455,
      0.672738906425723,
      0.73234574571614,
      0.489563270393465,
      0.386844248500612,
      0.485506879107933,
      0.445529717259305,
      0.408585429072722,
      0.350111689209291,
      0.796374615559213,
      0.373998260426548,
      0.415192284213305,
      0.343253502214344,
      0.242953353998694,
      0.297708628912613,
      0.441723548344528,
      0.503715579725931,
      0.746368638258438,
      0.261923943431577,
      0.332417037937691,
      0.293818389930862,
      0.272298084651426,
      0.316624030061966,
      0.319624608206502,
      0.570149245519638,
      0.590728712572172,
      0.360843629808766,
      0.534127904780041,
      0.589884853844629,
      0.710254486173788,
      0.440178229066213,
      0.699382192322255,
      0.471915565288765,
      0.348105256740098,
      0.663772261486833,
      0.554794348624804,
      0.527511250614351,
      0.700358071262892,
      0.554778231526599,
      0.483943120242153,
      0.379568395838673,
      0.429721997454993,
      0.325437890316282,
      0.322464946900121,
      0.453579516982189,
      0.60133628461945,
      0.423726992510545,
      0.365592073222223,
      0.760241781408407,
      0.589343512818506,
      0.528485138499628,
      0.517583272635721,
      0.522315794937049,
      0.43386707953462,
      0.362719018690638,
      0.513707941968018,
      0.595001944197526,
      0.452328856008527,
      0.392662983488935,
      0.403830383228221,
      0.455409220612447,
      0.608942876593491,
      0.536664248402741,
      0.571260634917137,
      0.80079945113312,
      0.562331987540874,
      0.41928122624834,
      0.626492594630907,
      0.575942111649097,
      0.443500985762324,
      0.388999245141077,
      0.644669879234405,
      0.673336429188296,
      0.516840234780167,
      0.414203847692166,
      0.386987590985193,
      0.568462881322438,
      0.635193796266849,
      0.563526355524846,
      0.33823052295479,
      0.4593919808816,
      0.483129251069606,
      0.575364473304679,
      0.601869142915689,
      0.51698839554486,
      0.479740137949838,
      0.607223001192375,
      0.591440774809769,
      0.547342299577496,
      0.804622168341285,
      0.502185105173595,
      0.620470786110567,
      0.604637983937206,
      0.591610402172535,
      0.688986486416283,
      0.4993718414416,
      0.427726730437637,
      0.579485768845024,
      0.638404090198193,
      0.506824776357018,
      0.556366948224312,
      0.710979775573769,
      0.620911805915025,
      0.653587138112822,
      0.582276696521444,
      0.55914923359577,
      0.506536156024481,
      0.3949195289122,
      0.545357491966308,
      0.670442317266552,
      0.544630504283601,
      0.566096973328842,
      0.586297730743721,
      0.790631176651145,
      0.471803894274737,
      0.820666673320484,
      0.519232065465528,
      0.337694419288044,
      0.63192522185481,
      0.426856323408088,
      0.51629392976577,
      0.24105705780842,
      0.379367912398151,
      0.518369147839697,
      0.515413115716544,
      0.775963773211043,
      0.286279123872597,
      0.671976835183166,
      0.58685392803724,
      0.500104972520461,
      0.492498077142395,
      0.675454322001957,
      0.520313756589855,
      0.468208465017352,
      0.617225051308109,
      0.39110155675144,
      0.50667260863445,
      0.546107937340441,
      0.453666021278883,
      0.450357646058932,
      0.755283981527814,
      0.436972818935894,
      0.749151923018163,
      0.601629473584244,
      0.40599681326359,
      0.578394261281977,
      0.297194071622286,
      0.424331550657867,
      0.252099827793394,
      0.332517692707223,
      0.570349132789526,
      0.753988912230852,
      0.612417260664621,
      0.778955779688041,
      0.40208721216744,
      0.573094221937574,
      0.581353058890296,
      0.61550102111055,
      0.554871178228671,
      0.671622526910342,
      0.651378108010057,
      0.442422341755457,
      0.375683724481342,
      0.540271291696589,
      0.754181005755811,
      0.597646267000552,
      0.628520404383716,
      0.709437695429779,
      0.546837071984999,
      0.702523042781991,
      0.499602232547226,
      0.631247484862765,
      0.598550915157682,
      0.507682259937887,
      0.534277237257817,
      0.44133606323959,
      0.650554441596855,
      0.552559558371128,
      0.730164811040495,
      0.482494733121968,
      0.450446720176259,
      0.577710817027885,
      0.536113939295199,
      0.663105443534101,
      0.68005063641142,
      0.679538224415949,
      0.692111936958687,
      0.340438437535584,
      0.556343892670239,
      0.669682044184107,
      0.515476056833845,
      0.614496190880453,
      0.576355745202772,
      0.568747656458007,
      0.624128289211236,
      0.44793496491668,
      0.651842393342421,
      0.549986778352687,
      0.720391932690249,
      0.609898862867745,
      0.354539680725846,
      0.543070631225935,
      0.61288579878684,
      0.506933710597191,
      0.491717213229574,
      0.393306370279476,
      0.626775151707052,
      0.43634042413293,
      0.349620978566127,
      0.399789734565874,
      0.523076822593679,
      0.487416633484028,
      0.527613213717527,
      0.642920967617251,
      0.46949252106655,
      0.464902645900707,
      0.490379306240511,
      0.541662791373687,
      0.677661485638414,
      0.592680020853869,
      0.392236714876186,
      0.363886799408908,
      0.535220198620616,
      0.507653429593281,
      0.461753254762025,
      0.507618082986429,
      0.498135449678973,
      0.358729910139991,
      0.517364411545424,
      0.51910735743902,
      0.462349402398587,
      0.312315446269981,
      0.437575018370284,
      0.578209509321132,
      0.373270722749658,
      0.501424740998745,
      0.754823560756861,
      0.532357581526286,
      0.560373013468629,
      0.603382443430914,
      0.594439110733622,
      0.579343429021824,
      0.460463599566522,
      0.70669611619592,
      0.535922124150237,
      0.675834621832528,
      0.564805149966882,
      0.5079000051694,
      0.781628429774725,
      0.608011534758682,
      0.482198874414388,
      0.664118450486956,
      0.446117356702099,
      0.595213216620543,
      0.637546274034845,
      0.633516481665043,
      0.432277936727329,
      0.645943377132765,
      0.462564022742388,
      0.703956234307887,
      0.668355414331281,
      0.682090291277178,
      0.765805807721197,
      0.490657803560096,
      0.615401088396485,
      0.593780706349952,
      0.683148526457235,
      0.716570803256713,
      0.483790371940483,
      0.638826455221606,
      0.621724286836663,
      0.512721762893137,
      0.445792142451932,
      0.504467637452797,
      0.581893855452245,
      0.611782764173937,
      0.52447222102129,
      0.514068926642135,
      0.585218166670191,
      0.485785742925452,
      0.444864057721566,
      0.572358863181974,
      0.562626602742135,
      0.477208566284296,
      0.463221119037452,
      0.641474811231929,
      0.672537343777179,
      0.438117243406038,
      0.572535020829317,
      0.905539521491321,
      0.624303716327371,
      0.665901001267315,
      0.751985478615093,
      0.655688793855114,
      0.389733562929832,
      0.766951693276462,
      0.714088471204992,
      0.483659113933753,
      0.698005624531907,
      0.416766575009506,
      0.513073434626671,
      0.611630310432582,
      0.435237649907412,
      0.645610762446804,
      0.389355957573902,
      0.582249323352151,
      0.769691122900448,
      0.499924231019786,
      0.517757756084208,
      0.436550503587391,
      0.51080739023154,
      0.553793684274591,
      0.566995338252955,
      0.49152600370744,
      0.418766227306183,
      0.408637900130451,
      0.557278643516701,
      0.539546960411302,
      0.556975572421391,
      0.521410428981384,
      0.490138908555988,
      0.439534319153071,
      0.46469755220303,
      0.383879541677418,
      0.527474110835632,
      0.3724043260963,
      0.493353877525936,
      0.340587419424689,
      0.477048245325305,
      0.438023348901041,
      0.481711039633115,
      0.384576805090699,
      0.513244022304442,
      0,
      0.447398953111098,
      0.281098727157201,
      0.441237432468275,
      0.447429036479496,
      0.656972157738376,
      0.221209539591893,
      0.663221072427949,
      0.128265189907671,
      0.144994547451353,
      0.381746979608376,
      0.326334352577992,
      0.0848976846975004,
      0.0086548059403569,
      0.355927157585614,
      0.439580455125142,
      0.63096297180284,
      0.624641377534099,
      0.464078930667225,
      0.353029329473636,
      0.0841800183214731,
      0.0964525161450125,
      0.158429660188433,
      0.339845559460725,
      0.485075391587356,
      0.459222202624651,
      0.567572923341745,
      0.678209669744233,
      0.230184081433259,
      0.133388544579232,
      0.254193269597157,
      0.343839926139735,
      0.825515238683054,
      0.276696891191749,
      0.624741163653907,
      0.160990551999512,
      0.218514122398963,
      0.473067794282855,
      0.233908894895852,
      0.211494803541599,
      0,
      0.194954488506381,
      0.231131145907008,
      0.105605356023057,
      0.570602430052332,
      0.260234705946236,
      0.293721713177842,
      0.457835025765526,
      0.716676598984328,
      0.167084230259101,
      0.517767480805207,
      0.458973447815845,
      0.606906479819673,
      0.375070267304291,
      0.345942590272783,
      0.285026831375432,
      0.427138028140279,
      0.328229755054641,
      0.269775104312955,
      0.400885224925948,
      0.305302335090162,
      0.490145337575223,
      0.467453066270013,
      0.487891590971924,
      0.48191985335118,
      0.595441618707501,
      0.505381552439948,
      0.435097261670003,
      0.507486397423239,
      0.350977007246959,
      0.339407909331244,
      0.254560548619564,
      0.364054753839535,
      0.399758430961399,
      0.470215852418647,
      0.491920205559154,
      0.233395059141637,
      0.693286514070492,
      0.860564562390682,
      0.283878113481184,
      0.426757275327718,
      0.359829979959167,
      0.309700615796237,
      0.143739683199008,
      0.39617088829434,
      0.50159370929863,
      0.437831657848279,
      0.490876917574836,
      0.602793727873261,
      0.428721889776956,
      0.560065784288177,
      0.481949878464024,
      0.338088350934282,
      0.752477415144123,
      0.488819186494176,
      0.690648390324094,
      0.455964516668391,
      0.67326191385382,
      0.585976692536987,
      0.331901268821262,
      0.412839547235375,
      0.150855667135741,
      0.374011980148102,
      0.201101974813232,
      0.209533411060227,
      0.51897167391237,
      0.358331571035933,
      0.406224404570371,
      0.200717609152394,
      0.395613536839458,
      0.733732155788705,
      0.566898283360659,
      0.651196603276652,
      0.348770974980303,
      0.413415997913921,
      0.472165569856704,
      0.477141624643405,
      0.470521521110736,
      0.561027505071352,
      0.413344617593744,
      0.542035963584295,
      0.556103025843049,
      0.583464456836401,
      0.49210969334606,
      0.481591168496859,
      0.432384246110399,
      0.594405588007262,
      0.610137821942913,
      0.433072844085213,
      0.337279157018219,
      0.371937593703693,
      0.648940258849764,
      0.511220117576636,
      0.456931055119811,
      0.632098093484904,
      0.753628246710175,
      0.596041418943129,
      0.538335048968333,
      0.40468329668596,
      0.531870480136465,
      0.7806934096068,
      0.709747528550952,
      0.489251982299344,
      0.492781351516039,
      0.414113982380781,
      0.447241424213409,
      0.343943023939223,
      0.565577283282798,
      0.506078654705988,
      0.494651357541777,
      0.460627160296631,
      0.498243092406985,
      0.558027700137935,
      0.538498802510987,
      0.47834571966752,
      0.431207158702041,
      0.314659120658021,
      0.596709650641423,
      0.696431763847772,
      0.495732166404527,
      0.705528859597677,
      0.616572113800003,
      0.550845710348926,
      0.542801942606185,
      0.609545292756216,
      0.441274600255315,
      0.394279425888433,
      0.720939064874035,
      0.648021656846458,
      0.636883471202085,
      0.439785113459001,
      0.333688591147084,
      0.465541603442477,
      0.636458890496459,
      0.553485351390608,
      0.473200135627341,
      0.773648147980029,
      0.330617943818258,
      0.332710156020276,
      0.292578708741138,
      0.246640761761825,
      0.353873558379547,
      0.437517172100517,
      0.488916548417922,
      0.680879584361133,
      0.428622354115849,
      0.191467710741088,
      0.191501225788135,
      0.263665200175422,
      0.225278674600014,
      0.626585238241014,
      0.689374384718801,
      0.479674298064711,
      0.314678391430756,
      0.451083121643843,
      0.45709623989959,
      0.586998938812654,
      0.382519538528547,
      0.627547047039904,
      0.467261151776973,
      0.706852509293658,
      0.439530672045876,
      0.37491627901857,
      0.541637439861058,
      0.484717866131924,
      0.50872788114243,
      0.460303981946686,
      0.530645359571438,
      0.623850687105992,
      0.259403742731601,
      0.318506172357354,
      0.366435538559886,
      0.440868960396901,
      0.474357704908532,
      0.410916352573151,
      0.711675775121567,
      0.511034867094848,
      0.362516636214081,
      0.434967606621697,
      0.49536313097781,
      0.261182476436122,
      0.277296957259183,
      0.444763762433093,
      0.569860739002551,
      0.382518260163901,
      0.362190995869331,
      0.399592948257387,
      0.494140112194265,
      0.488835583735056,
      0.5725389133358,
      0.525206125709592,
      0.726465907157272,
      0.597552159229004,
      0.475440007801409,
      0.579270078943522,
      0.512657530539945,
      0.359142611068221,
      0.340797138673043,
      0.668588329611272,
      0.700460542512371,
      0.465880644451192,
      0.375170826763963,
      0.401398206223755,
      0.477576573668637,
      0.616715014603812,
      0.479527644805681,
      0.316536778876145,
      0.364108434985738,
      0.45494416141213,
      0.515427859928243,
      0.593019336207438,
      0.488693561873447,
      0.523956744883755,
      0.435383050473337,
      0.581053228666085,
      0.526939482338654,
      0.661574127851,
      0.412231751723512,
      0.475153135486506,
      0.4700975999055,
      0.519365327243184,
      0.637612119176747,
      0.535429194597869,
      0.347828675581831,
      0.55557966230262,
      0.50708660400263,
      0.456745478045926,
      0.468930636386849,
      0.618420133539212,
      0.582357041164468,
      0.565272668594152,
      0.519850552133445,
      0.487685096545898,
      0.571278327123866,
      0.4541388904177,
      0.461063566589268,
      0.656122538466732,
      0.484473505193078,
      0.657715002342933,
      0.572470858820548,
      0.528641617497027,
      0.525578951071664,
      0.597211449105704,
      0.492997310520481,
      0.530365867414237,
      0.646562151119135,
      0.604570438906739,
      0.516737705170672,
      0.231969959665058,
      0.3921256554904,
      0.488873658564739,
      0.412156984089943,
      0.598376807995299,
      0.317338103660261,
      0.496533863139156,
      0.589381138247147,
      0.523424574707757,
      0.458844868116066,
      0.622176884296514,
      0.45015490141429,
      0.405985325590109,
      0.56619352693339,
      0.367108189282363,
      0.383016281085253,
      0.392134676311823,
      0.425551943916386,
      0.431442887026411,
      0.55720044140975,
      0.511796994044408,
      0.562051071011292,
      0.704255144643828,
      0.489995188039503,
      0.463474290749973,
      0.437237898134864,
      0.45795501358791,
      0.39191392595517,
      0.312805491984338,
      0.365994898804901,
      0.682959740238234,
      0.65328082581852,
      0.737715129652257,
      0.406294615419854,
      0.427464312863596,
      0.475472136629433,
      0.463519671800565,
      0.448173786202988,
      0.521548038786328,
      0.616459606229228,
      0.451365621909825,
      0.384524330421846,
      0.524177212015075,
      0.48630976928221,
      0.538022128674842,
      0.644199621864403,
      0.622310395401258,
      0.500198690738948,
      0.586607323421507,
      0.499910637126317,
      0.773453402775767,
      0.503288391267853,
      0.572406437711409,
      0.489007991963381,
      0.493066384867095,
      0.596207173047538,
      0.51888149047083,
      0.591081614287522,
      0.468122038388148,
      0.458024966867392,
      0.562261791027044,
      0.521398141592011,
      0.629320953251854,
      0.621398334610307,
      0.534484584520471,
      0.493527048059098,
      0.497887316032862,
      0.607498099571901,
      0.729846175727976,
      0.55892659748084,
      0.590203821699255,
      0.479465390782697,
      0.463195411969337,
      0.599840669047559,
      0.516332025406236,
      0.640332977852553,
      0.498419613190302,
      0.70025103744885,
      0.503567558489953,
      0.468826332159816,
      0.526056995015656,
      0.528191208770171,
      0.516717714634045,
      0.465616236106124,
      0.3579303891005,
      0.557275477532487,
      0.571972757194276,
      0.465981908708153,
      0.416325678555719,
      0.385270552576553,
      0.439001362306234,
      0.429864809969263,
      0.543372706445203,
      0.464234916216194,
      0.35498434559715,
      0.321259451317226,
      0.468000371607846,
      0.568209157885793,
      0.713814214394688,
      0.470494350696851,
      0.553563045506396,
      0.571921696340934,
      0.490022753230785,
      0.369746709610484,
      0.431429791926247,
      0.437247896607326,
      0.419621782557995,
      0.658465858638055,
      0.492726928594983,
      0.428704460089061,
      0.316607855596336,
      0.62705801913813,
      0.569135636475198,
      0.510070101755053,
      0.620783394391626,
      0.674751363600708,
      0.406047419430279,
      0.462003510353122,
      0.444167480037269,
      0.497630585140693,
      0.53729227620272,
      0.523625089763189,
      0.692290966636384,
      0.509251156217358,
      0.579930317832142,
      0.688429233002507,
      0.432972795650868,
      0.657998373186594,
      0.585886915428203,
      0.473179094244381,
      0.617279180780029,
      0.440442019721601,
      0.538362813471425,
      0.594305568919384,
      0.65713737564542,
      0.430398853270862,
      0.72455280516459,
      0.374947345552564,
      0.626620668341881,
      0.644196817383888,
      0.600129973467305,
      0.802231693044145,
      0.50086732189164,
      0.580417486173397,
      0.574952527706601,
      0.831598387787912,
      0.476667166007251,
      0.473631460552299,
      0.618371836031737,
      0.596832507635523,
      0.463469968868566,
      0.448980023352538,
      0.485321104421087,
      0.552351066030788,
      0.60355630589059,
      0.486926523943048,
      0.720926151381541,
      0.489807190770152,
      0.417151425520539,
      0.430005043929772,
      0.54192216163826,
      0.535259962757021,
      0.477562412393437,
      0.454409283503087,
      0.656579773365035,
      0.621107788017047,
      0.49458955565244,
      0.694299051750005,
      0.800499266465658,
      0.651939386181092,
      0.595447133124794,
      0.656392950208028,
      0.556620465573501,
      0.412080677250758,
      0.574753028987829,
      0.536396186221702,
      0.442799911660448,
      0.637268344003386,
      0.417192044036316,
      0.44367727875815,
      0.484263784572052,
      0.481183598586017,
      0.643276745918264,
      0.446285509937494,
      0.630304727992038,
      0.713435431721679,
      0.407056943856443,
      0.549845780516455,
      0.392470776604839,
      0.450189981296423,
      0.532546064004776,
      0.485070779659229,
      0.542638674910199,
      0.461148479420946,
      0.594674304011587,
      0.531654697433668,
      0.46944229042111,
      0.46621948069244,
      0.434578302784288,
      0.415757858008231,
      0.454538205098353,
      0.513257150965939,
      0.32404901680262,
      0.405617359213449,
      0.359045791662053,
      0.474216899063041,
      0.352622753629271,
      0.431175821493635,
      0.401649242762589,
      0.416919548049945,
      0.385685356296452,
      0.435349920116701,
      0,
      0.252848303969637,
      0.338562250018446,
      0.596734245440342,
      0.489260873816543,
      0.702882039693643,
      0.209551397113373,
      0.504618055594865,
      0.134615180031627,
      0.251460262808607,
      0.474365085698543,
      0.166588536272283,
      0.132604395296261,
      0.0682779601409247,
      0.328558162911312,
      0.406554847741694,
      0.483184136996338,
      0.55592191815349,
      0.460646044142262,
      0.231716839142093,
      0.110598793561168,
      0.129937827368506,
      0.249697291925603,
      0.253439163741247,
      0.533576130920219,
      0.425341894225031,
      0.641020401817522,
      0.670604435497769,
      0.465940696665758,
      0.192084417841138,
      0.315385174016908,
      0.406638571284841,
      0.639884565738475,
      0.269065115183986,
      0.626303651339228,
      0.0113266634650956,
      0.4337420821134,
      0.450899638319298,
      0.285490330552065,
      0.154838206116935,
      0.0252776786224566,
      0.154471674683326,
      0.317758957025416,
      0.230702613168864,
      0.699622277454299,
      0.205168918934304,
      0.259038218541313,
      0.520231096432619,
      0.542936501870499,
      0.308199866271264,
      0.345439253517991,
      0.616941846937315,
      0.692491662673326,
      0.565083064656721,
      0.4557691522794,
      0.367505249067801,
      0.388050513424157,
      0.386561107791411,
      0.49341457849731,
      0.502547259456491,
      0.544861053340039,
      0.553532994701414,
      0.649136058773494,
      0.617700575705632,
      0.699834884069461,
      0.672533776891859,
      0.631913229657214,
      0.55315573192797,
      0.453764487270285,
      0.381176468710988,
      0.423404893731468,
      0.25372116889213,
      0.451478675021679,
      0.379583501318083,
      0.459255021397051,
      0.478674245120399,
      0.229182884449125,
      0.81273993204621,
      0.811287119410115,
      0.235872069075124,
      0.422176249146614,
      0.400871231553371,
      0.310183904994023,
      0.14826505195446,
      0.37430463198418,
      0.545960183413196,
      0.49933461582177,
      0.358318395649369,
      0.351854686518114,
      0.524592397993298,
      0.566079525749883,
      0.433805760292129,
      0.417448681909045,
      0.774136884054241,
      0.515557210433095,
      0.592118508856093,
      0.484760133504243,
      0.768049178262797,
      0.7984503769677,
      0.513827089509966,
      0.427979608745294,
      0.230434249836882,
      0.543322904298128,
      0.214027126015616,
      0.245687698328631,
      0.506852486046641,
      0.313202186805752,
      0.430704645482465,
      0.319769428002713,
      0.456631649392212,
      0.814537200221655,
      0.5593798480466,
      0.716940265151799,
      0.419952611570362,
      0.588780327108207,
      0.474940148824738,
      0.604856431245437,
      0.476891208827686,
      0.66220012826325,
      0.541644659121876,
      0.544508822916638,
      0.589674188413233,
      0.722987869806521,
      0.456577329585832,
      0.420901626286507,
      0.487000815638852,
      0.566583947273967,
      0.531637130302444,
      0.392281766205817,
      0.333982786196466,
      0.402895584163981,
      0.481154845599635,
      0.642332373001379,
      0.62219519272789,
      0.675888523788074,
      0.702935909320135,
      0.654365823754263,
      0.597015112959165,
      0.456592407403335,
      0.653125846239959,
      0.841915328660791,
      0.68677679891149,
      0.454358920806725,
      0.462494433432849,
      0.43425174452444,
      0.525037894889105,
      0.359947895048734,
      0.703857706639413,
      0.616820496384302,
      0.610360907768761,
      0.425251114393762,
      0.40583907553482,
      0.702093385028458,
      0.668786816415145,
      0.551381322224515,
      0.405579711859671,
      0.325849594829823,
      0.586811814295056,
      0.634489225956491,
      0.661288431697647,
      0.79237092748201,
      0.726081841283282,
      0.450209902823042,
      0.419759886539042,
      0.508217011764074,
      0.460844046390643,
      0.588484636749575,
      0.7134584035602,
      0.590778794994201,
      0.603328857365386,
      0.437552996525309,
      0.332641273542941,
      0.591375399509525,
      0.795033105028102,
      0.803043238950035,
      0.688273602235657,
      0.401120442583018,
      0.285017638038804,
      0.451589579489614,
      0.412214028685492,
      0.206026754269048,
      0.376838897375851,
      0.335690474474014,
      0.406192056429072,
      0.455145934824282,
      0.527150474485926,
      0.303026342715814,
      0.232279438115065,
      0.300984395396943,
      0.240201473745607,
      0.698948969595189,
      0.628653441437002,
      0.36942735628011,
      0.49483866848812,
      0.432071376276232,
      0.284443421266115,
      0.640243637500695,
      0.458562340475755,
      0.566876518902932,
      0.400506069967923,
      0.719954904928685,
      0.592110383365134,
      0.525882190189542,
      0.508816527493804,
      0.378666750529891,
      0.391343367386317,
      0.407143935381497,
      0.563810989044833,
      0.6426668107211,
      0.340795514271682,
      0.398767701150012,
      0.419885259520317,
      0.54447688816903,
      0.539123944741236,
      0.588137952157784,
      0.637948592861974,
      0.663600539511108,
      0.454440927091567,
      0.380794867879585,
      0.519900770261313,
      0.400466069348694,
      0.430190558636508,
      0.379828184522623,
      0.471128657340374,
      0.329988701222594,
      0.377040465247686,
      0.472636445842957,
      0.493518956602245,
      0.40959280562271,
      0.572634122758765,
      0.730887262063179,
      0.465300811539578,
      0.542774349965167,
      0.486284294363285,
      0.557591418816265,
      0.52726960212613,
      0.500572042480651,
      0.392505495112857,
      0.521279905986857,
      0.540401867398867,
      0.663550306113988,
      0.623428878284265,
      0.635256078617654,
      0.489446619308764,
      0.52592503927085,
      0.410635713988386,
      0.515235630372218,
      0.394944328710121,
      0.444155438618438,
      0.444962748375896,
      0.618240061114765,
      0.472894035310502,
      0.656238952352771,
      0.618392469280118,
      0.678074837806886,
      0.607053724547047,
      0.402978694213501,
      0.350588508411703,
      0.376505199468436,
      0.474534432590051,
      0.588517247141066,
      0.57209803604878,
      0.586146268587751,
      0.471895095917882,
      0.4626015379157,
      0.497286362053456,
      0.52713696725254,
      0.525107356305926,
      0.556040061587141,
      0.56899620993649,
      0.409925941776345,
      0.733057902795012,
      0.534770376387235,
      0.726024539807073,
      0.489749035675696,
      0.469467072935379,
      0.631479328363714,
      0.532761513709119,
      0.635896309879048,
      0.589545928892896,
      0.624977106788108,
      0.663801069002845,
      0.629026222401602,
      0.649683344602857,
      0.697206768753041,
      0.626131457508594,
      0.687299429519023,
      0.461029829151668,
      0.345267587772044,
      0.376923958617554,
      0.462776124442967,
      0.376431008143837,
      0.460292803295587,
      0.319425059747855,
      0.410604969736491,
      0.593377086735631,
      0.570848521030405,
      0.500142601924942,
      0.593779418705526,
      0.484418176954766,
      0.551656076461261,
      0.603739488617582,
      0.444793628273919,
      0.432322817934884,
      0.483046402308157,
      0.416079058292447,
      0.507313205088296,
      0.684447667684631,
      0.713604446447257,
      0.746045353636489,
      0.753931573215452,
      0.574487408203308,
      0.477301315834697,
      0.547074379570415,
      0.500746390474202,
      0.399102565773958,
      0.310820825541644,
      0.362503369237113,
      0.639842327690058,
      0.564748423244206,
      0.594901042448039,
      0.398365665887355,
      0.425214746997854,
      0.629931340126981,
      0.378002629314669,
      0.542178952743033,
      0.444084070634835,
      0.563329621844561,
      0.557412966715089,
      0.531775074669452,
      0.531813656618659,
      0.437184512171906,
      0.498044781294523,
      0.510818074886269,
      0.411844617153993,
      0.667562298658995,
      0.629459769894559,
      0.493058061349073,
      0.845229840576294,
      0.445205429206049,
      0.676007075886681,
      0.567524622465654,
      0.521487531781705,
      0.488587018322295,
      0.621975198955844,
      0.611446770063737,
      0.570891567047916,
      0.592361466877261,
      0.629393530740995,
      0.629875908162225,
      0.666705398200985,
      0.684013192828498,
      0.576142423588468,
      0.548868146309544,
      0.665899699901292,
      0.692937326249112,
      0.679592727029919,
      0.723217154088882,
      0.502157165069506,
      0.526725179782327,
      0.486884506883275,
      0.56992661872719,
      0.678553753092737,
      0.599504860413065,
      0.37403641754515,
      0.67165378301796,
      0.368592203596924,
      0.566355116292877,
      0.498723246021019,
      0.399028809791161,
      0.476496621656566,
      0.52951850928737,
      0.437745803596628,
      0.620288900661611,
      0.659879692917533,
      0.688456000387607,
      0.570170671582034,
      0.519621526663962,
      0.460785282620172,
      0.407698206007967,
      0.414180896913468,
      0.513472727947162,
      0.596941747487698,
      0.322317818519362,
      0.400217829875462,
      0.62086645280245,
      0.608075971748961,
      0.486159687617917,
      0.689019140263338,
      0.57574142552264,
      0.41964592214172,
      0.452226322347418,
      0.413674790358658,
      0.468948223355327,
      0.558246316008176,
      0.738245409037997,
      0.555101271497108,
      0.62301514144407,
      0.378979858887091,
      0.611481237867261,
      0.540517252929376,
      0.557955722111725,
      0.695559533828633,
      0.578169875751776,
      0.399125120272029,
      0.484850957724254,
      0.441451866876954,
      0.46260943472898,
      0.643499714796759,
      0.558809151282548,
      0.564930194764034,
      0.615760190021964,
      0.484948019475973,
      0.815629178553487,
      0.495835756056837,
      0.517667678876327,
      0.688701376631328,
      0.60614356231054,
      0.476219858202777,
      0.63408344264248,
      0.509684332850459,
      0.601147721250214,
      0.61388536701615,
      0.456740157705047,
      0.745649476868993,
      0.318356178361969,
      0.606310966844876,
      0.668387408393551,
      0.697346377652197,
      0.637047069657442,
      0.661275810253108,
      0.621793789172012,
      0.665018129120746,
      0.830486989109758,
      0.65018830947683,
      0.647160643654938,
      0.625541029929859,
      0.663324747293103,
      0.421745132673197,
      0.437134720592435,
      0.637252437738495,
      0.577402412307621,
      0.67826569477401,
      0.628118670170337,
      0.73702334113992,
      0.372197061498367,
      0.482656680128545,
      0.564578647564285,
      0.623861510288984,
      0.539517364302694,
      0.421070287240756,
      0.372263152543017,
      0.560326867429081,
      0.492961043302587,
      0.633963140363264,
      0.739992508975572,
      0.614151816731483,
      0.632070282854528,
      0.557096680309399,
      0.637400315218122,
      0.547781471598516,
      0.564649536821883,
      0.587700601211327,
      0.564452279817607,
      0.465386570317777,
      0.605620273612868,
      0.523719288792022,
      0.616953008217819,
      0.611905972149684,
      0.655998968357422,
      0.72751083503057,
      0.593679753484758,
      0.578247400025852,
      0.742138157146409,
      0.613792162772886,
      0.592317488927142,
      0.443907338670629,
      0.406984145424968,
      0.633701246054804,
      0.658943214624952,
      0.636364576738808,
      0.682406265294227,
      0.674927875869729,
      0.679614932314856,
      0.622790208929324,
      0.654187852098246,
      0.601044319448557,
      0.6112643252622,
      0.666618723114526,
      0.674136207761259,
      0.439370377745773,
      0.398814830052944,
      0.395832879855432,
      0.466411853619155,
      0.387430983402716,
      0.421705809358163,
      0.535092405470275,
      0.561335886781612,
      0.452596725006863,
      0.342897056238985,
      0,
      0.276193536174307,
      0.348347603587559,
      0.708711853579535,
      0.222665346681911,
      0.687566557392468,
      0.222861538356954,
      0.339897339109937,
      0.224475245204826,
      0.158499949676653,
      0.490803934161221,
      0.235253732678317,
      0.141529237556145,
      0.0306765843781312,
      0.177925303463111,
      0.347495376395537,
      0.258230852274403,
      0.458338781093768,
      0.413830522313435,
      0.0848297389686385,
      0.184191402060889,
      0.0397510618152476,
      0.226330150465941,
      0.273077294696251,
      0.511905500326885,
      0.406491524181138,
      0.454915920250457,
      0.54840640557657,
      0.374855469119254,
      0.173776397183987,
      0.363658974554766,
      0.276191740359564,
      0.385421721354816,
      0.247201944831686,
      0.452871831085067,
      0.243909578606022,
      0.340715868046712,
      0.541533812173277,
      0.200343853853895,
      0.0885748434897996,
      0.0804329302687613,
      0.147945524474711,
      0.346350582321168,
      0.537793705004812,
      0.579388675334312,
      0.336711514881393,
      0.223428295722375,
      0.476567023721749,
      0.409469681060242,
      0.217835876504197,
      0.248544726920806,
      0.635819285447662,
      0.628166202827532,
      0.482109614833007,
      0.378436444615261,
      0.288292862082115,
      0.362929540002565,
      0.298033931599417,
      0.407778945591375,
      0.480449215417416,
      0.48971660374235,
      0.508621759391811,
      0.535393250776714,
      0.506897840217381,
      0.608590518721754,
      0.657794275417773,
      0.536857445200951,
      0.515822845136075,
      0.339393531344993,
      0.393228244842224,
      0.465252169167707,
      0.423541988957428,
      0.442810360177558,
      0.450610102056426,
      0.383656572707947,
      0.446293665576962,
      0.242138687021011,
      0.670503131228902,
      0.48950699126452,
      0.265246825215761,
      0.411731561720152,
      0.589544885095217,
      0.252009712149528,
      0.14104720949528,
      0.183398641990637,
      0.458697179650703,
      0.458453340713617,
      0.332577790737305,
      0.338632735188428,
      0.523682277603478,
      0.537204487698182,
      0.436128005445852,
      0.374510698385662,
      0.73898771233329,
      0.424152677022431,
      0.413030047080649,
      0.442238538394556,
      0.66849098899138,
      0.78632356897483,
      0.449823855304016,
      0.406971667529679,
      0.221798983235693,
      0.466203434026722,
      0.216508656088175,
      0.375394809704623,
      0.377694116059376,
      0.296292115551403,
      0.355776325050268,
      0.259679123005872,
      0.429160712337302,
      0.779915787005995,
      0.443488276727303,
      0.653924968478528,
      0.548337350233037,
      0.497749346867001,
      0.484947445398279,
      0.556782507435325,
      0.489562901183227,
      0.596591891751675,
      0.458145626618246,
      0.5543030980866,
      0.520219588662778,
      0.728170196025234,
      0.45773843411102,
      0.357126756499937,
      0.528908573524401,
      0.561896055247944,
      0.499511642214387,
      0.321778578270374,
      0.290053605272099,
      0.360499931089458,
      0.400257549963926,
      0.523588861439498,
      0.666918135283452,
      0.60192168712338,
      0.574819031730112,
      0.555357926803269,
      0.729315689656002,
      0.362860180301179,
      0.641286230157391,
      0.648343316719698,
      0.554831628683748,
      0.452293429001118,
      0.454377095286093,
      0.555577651352941,
      0.514890376801175,
      0.370701997835941,
      0.656342666774804,
      0.567076123410812,
      0.58291325583156,
      0.43798559802458,
      0.380566170309561,
      0.651192899954524,
      0.731811875595052,
      0.517083760023969,
      0.363736040872332,
      0.374678600515054,
      0.515024999831439,
      0.626102920962571,
      0.652556648686774,
      0.694766471703789,
      0.6459484396384,
      0.49532128776467,
      0.447390699013454,
      0.441614914066293,
      0.478019301534115,
      0.602902753280004,
      0.601696313197194,
      0.582864398424841,
      0.49522679103607,
      0.442085972249461,
      0.373144879284057,
      0.569202327461961,
      0.659997037283662,
      0.717881473327944,
      0.618629788262258,
      0.289535374691321,
      0.291646227172873,
      0.363931485469104,
      0.423013376940642,
      0.143494890016865,
      0.367177864681615,
      0.469807104596333,
      0.338142237914077,
      0.435473803407482,
      0.33525801250552,
      0.416643250922211,
      0.271529800998115,
      0.357251587891605,
      0.26835707434614,
      0.482116597949477,
      0.401548938143929,
      0.240442336672559,
      0.414240278822744,
      0.451496862323522,
      0.277011407671575,
      0.572057973335105,
      0.49438196830281,
      0.53171284417012,
      0.383915862686557,
      0.379931552573522,
      0.532331209936092,
      0.469501378618977,
      0.441165859906601,
      0.372848614614684,
      0.482631945969697,
      0.361004339157092,
      0.38156992691967,
      0.440137110376048,
      0.377473196041243,
      0.390102894276446,
      0.363181905748827,
      0.466240354188722,
      0.524238272733659,
      0.577134030450729,
      0.635499108019063,
      0.652880054907581,
      0.445223984581751,
      0.45575656778029,
      0.464821747299586,
      0.398611925679946,
      0.438800816899381,
      0.405441525580812,
      0.394762359403512,
      0.403560625547893,
      0.35084629439567,
      0.474881928828703,
      0.512921041663909,
      0.433004155418121,
      0.52413196684972,
      0.671618261000991,
      0.41609121134976,
      0.434498730237997,
      0.430764066947859,
      0.534091593033648,
      0.48570046070676,
      0.426265295599359,
      0.309566594813628,
      0.446284713511599,
      0.480597194928611,
      0.603729288245999,
      0.58553355433604,
      0.651109816005258,
      0.440718154359974,
      0.434759156286604,
      0.454080660997399,
      0.481740272325937,
      0.417104105907226,
      0.430510709278386,
      0.466503460806611,
      0.580365891962372,
      0.447229517720068,
      0.553779708487323,
      0.61186200630399,
      0.611670153106031,
      0.487453246933786,
      0.365301589435598,
      0.290974420158109,
      0.268600952060018,
      0.461344035165701,
      0.523741356652304,
      0.493603961253106,
      0.533792384052644,
      0.384072698840891,
      0.488152105041184,
      0.414905995129731,
      0.490089938929461,
      0.515739616949805,
      0.535684378041798,
      0.502900769847286,
      0.433143744021688,
      0.65851907825011,
      0.4946974909574,
      0.642952540796318,
      0.487365261049677,
      0.48657315796271,
      0.553435051884345,
      0.565180134777072,
      0.620160083644728,
      0.578854692840551,
      0.607503450752775,
      0.617960965310648,
      0.629075818041436,
      0.618877602654725,
      0.725169862235807,
      0.53291216226618,
      0.523660191988617,
      0.441642520066667,
      0.32289096032718,
      0.379467223606628,
      0.466759827123287,
      0.319743876818715,
      0.421290831989634,
      0.249030077255029,
      0.379041428869632,
      0.498364378828771,
      0.456804783414875,
      0.41497769197647,
      0.512860160059853,
      0.514507691062258,
      0.464567318224471,
      0.542367041866779,
      0.50536219640739,
      0.41992534078482,
      0.448877315662506,
      0.463084325264317,
      0.671244853112686,
      0.605113291790638,
      0.64240548560244,
      0.694301793280717,
      0.69336312578351,
      0.527407143610005,
      0.491596692013548,
      0.523005779243107,
      0.369439684701251,
      0.376719826690466,
      0.314019528558794,
      0.336549817429272,
      0.478346939116855,
      0.471273336561253,
      0.479306904611705,
      0.393753628440342,
      0.361139665212126,
      0.705038150056003,
      0.34588683784144,
      0.611976773380489,
      0.44166103335434,
      0.494024582109074,
      0.494076276966289,
      0.489826357386158,
      0.528215861019053,
      0.415384263877926,
      0.478220512669851,
      0.403206145998053,
      0.369369172139283,
      0.602093477209051,
      0.587243255396628,
      0.517970526196424,
      0.768399801611732,
      0.33991266029022,
      0.580754972237556,
      0.512292396718442,
      0.398783613967057,
      0.403868516352276,
      0.517625820091332,
      0.45120407783361,
      0.468147419271748,
      0.553034885215915,
      0.622038891606322,
      0.591306910974789,
      0.59038989103763,
      0.631861743489722,
      0.649644283444465,
      0.577422262022459,
      0.552562641485534,
      0.703765810023617,
      0.572055189780774,
      0.637673856295604,
      0.535730841776294,
      0.491805308219266,
      0.41006254522507,
      0.557489749388407,
      0.592345535416094,
      0.522978417402519,
      0.510509102244726,
      0.624432321277168,
      0.388069308575556,
      0.59545889245981,
      0.462063088618812,
      0.403178612677492,
      0.419761915395047,
      0.519300812500139,
      0.390193680055741,
      0.604721972901649,
      0.499025346577824,
      0.66074919729988,
      0.488201781952264,
      0.45513067233544,
      0.440744153824637,
      0.394450173039301,
      0.410486852953568,
      0.461035995909604,
      0.665288990779382,
      0.443738049578488,
      0.373492694252144,
      0.476573765334996,
      0.433715827446875,
      0.51612283921758,
      0.642247323294345,
      0.459621015976023,
      0.369800054059773,
      0.397273277989505,
      0.404876958253891,
      0.447443437092335,
      0.527038758046763,
      0.699739792074316,
      0.497480514010034,
      0.615077411515655,
      0.382842957088226,
      0.415858721187343,
      0.541585676272746,
      0.456560360087943,
      0.693231284912928,
      0.454000784557017,
      0.387668146280197,
      0.501595650429845,
      0.503925074891705,
      0.516895442228448,
      0.777373406356169,
      0.45971608370272,
      0.438329373067939,
      0.504836249358679,
      0.489999036703496,
      0.744787762652899,
      0.44956012783545,
      0.503810181483627,
      0.694959523402041,
      0.517249470890983,
      0.430839237085451,
      0.63428538490323,
      0.578393011400962,
      0.47256310149173,
      0.460463550818835,
      0.411166428015219,
      0.701072041875623,
      0.369704685044312,
      0.55546091110348,
      0.438661453247332,
      0.63341946698474,
      0.48789604623635,
      0.581624749636952,
      0.566088005973566,
      0.542209522749414,
      0.739331879332838,
      0.555685170072776,
      0.549684002852703,
      0.537595461419707,
      0.808357277265407,
      0.411345162931686,
      0.405440140087659,
      0.565666865871315,
      0.521947408198705,
      0.641475295581172,
      0.613490472238244,
      0.550922178269872,
      0.415830397830288,
      0.513152291685555,
      0.64636386865404,
      0.627266335070836,
      0.448720212660531,
      0.287282023984063,
      0.331511664819945,
      0.499589232737246,
      0.508892074671378,
      0.533662255804225,
      0.717953545552932,
      0.52860998325535,
      0.523214484474653,
      0.564181667935881,
      0.50188832811094,
      0.521662481214579,
      0.615161375868756,
      0.483798188370123,
      0.456260730409699,
      0.453353682615469,
      0.618312472447044,
      0.417333099473029,
      0.606778934440034,
      0.599731917670777,
      0.637807638420983,
      0.699875227306455,
      0.582678160342923,
      0.573811046454124,
      0.73642645861406,
      0.627895768701036,
      0.519409658091375,
      0.332813034584896,
      0.337365020069985,
      0.629838355839132,
      0.687324181325529,
      0.47789794298441,
      0.657639891136394,
      0.591178667336162,
      0.630337828844301,
      0.59508487624701,
      0.663553576718433,
      0.637950943265525,
      0.588801752596312,
      0.586383555578468,
      0.576707270910026,
      0.413889991831367,
      0.34774873217079,
      0.39474459450688,
      0.403600290129185,
      0.33189247619598,
      0.356688663261168,
      0.50476819713922,
      0.47502537299073,
      0.403531070161194,
      0.35478459414711,
      0,
      0.30266199453789,
      0.284275528468385,
      0.563232534688776,
      0.178836058588626,
      0.502379233201057,
      0.16242062349399,
      0.349699779366136,
      0.170806574926802,
      0.14849253545636,
      0.390563211921119,
      0.272467009351621,
      0.221979736353922,
      0.0542651755086501,
      0.147363478423938,
      0.330902908299627,
      0.305513682059401,
      0.382738782215198,
      0.328642489199361,
      0.0126538112172646,
      0.2071115305061,
      0.180155579226198,
      0.263559507917275,
      0.312230927719491,
      0.394253759886397,
      0.33955304839304,
      0.320348803506049,
      0.570633188237428,
      0.205598222009038,
      0.0632709994515666,
      0.416056444400553,
      0.186151746133637,
      0.405485980736914,
      0.170068854101617,
      0.372843180602242,
      0.319988246920228,
      0.0438144786361625,
      0.642234453743097,
      0.206100903031609,
      0.0792214519239326,
      0,
      0.112664393348892,
      0.205794991991678,
      0.625485398711924,
      0.319084850233005,
      0.429182556865499,
      0.208551698612095,
      0.407300357514988,
      0.363932016165422,
      0.185414416707281,
      0.334694106789213,
      0.387692214195886,
      0.526390878284035,
      0.223950575512222,
      0.252390556688356,
      0.149128396822314,
      0.242892059685731,
      0.305739797081724,
      0.254791269801053,
      0.366513762319034,
      0.236445833145316,
      0.48437149910126,
      0.342712096930399,
      0.445917597021324,
      0.410061315688786,
      0.495303700245936,
      0.365224523248612,
      0.406897521897348,
      0.333628170540606,
      0.548676600445126,
      0.457033273668035,
      0.502947626957855,
      0.338855912176524,
      0.448291366646834,
      0.45498368768686,
      0.432759529432201,
      0.189372692097173,
      0.361999021391548,
      0.488122734617659,
      0.249334976719058,
      0.402066204284334,
      0.625368683169151,
      0.23824993311526,
      0.113591693120926,
      0.162575589633667,
      0.468516949230765,
      0.465777417077634,
      0.445276638797398,
      0.288425973511056,
      0.326228698175047,
      0.491022934064819,
      0.465286581150659,
      0.380968476137704,
      0.691331640796841,
      0.354380624563386,
      0.386739854055285,
      0.377840228451583,
      0.341972774435818,
      0.578601334346082,
      0.308316444860432,
      0.425169842178712,
      0.131478582099491,
      0.227539992708243,
      0.174372913998091,
      0.504588167238934,
      0.417361939502771,
      0.509158444204764,
      0.341350858268989,
      0.278687396910018,
      0.276657966383998,
      0.659197643905277,
      0.298454746060154,
      0.528345028330777,
      0.55302435099138,
      0.462023662895689,
      0.52390747802507,
      0.446629496006766,
      0.452977602753338,
      0.616018020416863,
      0.278604680347302,
      0.664113461643712,
      0.502850248664792,
      0.599894334391386,
      0.490188941892918,
      0.584700198256125,
      0.522382970023501,
      0.517469559101924,
      0.358842309451629,
      0.288979640865608,
      0.288023214432265,
      0.278267048833035,
      0.442249047528139,
      0.444397591575717,
      0.536339586780088,
      0.696514016748333,
      0.261557678055481,
      0.412058252894313,
      0.690696905737979,
      0.312312129879964,
      0.608234304577887,
      0.43155776933956,
      0.48585140500066,
      0.385606122936714,
      0.42672352877724,
      0.575784578955544,
      0.748739437824307,
      0.322322403371468,
      0.482475054173522,
      0.349042022574146,
      0.49432702947404,
      0.426781276493519,
      0.343681426491277,
      0.5551528959853,
      0.622868780843802,
      0.546639634203391,
      0.290716495400067,
      0.314325610959797,
      0.526899076871353,
      0.517780292990673,
      0.770753443634029,
      0.429605298551556,
      0.371731993149429,
      0.530777847246797,
      0.374113295476202,
      0.331344851636695,
      0.687541802696966,
      0.496961020455721,
      0.482678539674152,
      0.598080739739038,
      0.459245159232464,
      0.440862489750675,
      0.312182042886634,
      0.404902153554852,
      0.495090502467619,
      0.390021524750355,
      0.337249902899892,
      0.262728883772358,
      0.27314065444608,
      0.306880380455533,
      0.459292880606498,
      0.19133449238819,
      0.461515624165297,
      0.558625774100156,
      0.332394406801519,
      0.416134484826085,
      0.250426720092485,
      0.33563882315651,
      0.214056999043154,
      0.402154253165358,
      0.211623090714185,
      0.393692651040847,
      0.461671913446063,
      0.252592505677105,
      0.455568778764273,
      0.50936387002171,
      0.278511918043077,
      0.39675805089968,
      0.320962954431101,
      0.537058798617301,
      0.344067521956874,
      0.31577812266558,
      0.442031183007191,
      0.592240700311276,
      0.522303243015206,
      0.381098723491771,
      0.510872564006468,
      0.430490151892635,
      0.358928476936686,
      0.338461355109532,
      0.388064158239873,
      0.337038624401257,
      0.355711669978167,
      0.449611882950519,
      0.491040430116931,
      0.413919474268454,
      0.364228769821615,
      0.448801273109478,
      0.388639054888156,
      0.479793305925675,
      0.461496430729539,
      0.476143979196129,
      0.391121324589093,
      0.387203209665716,
      0.364617716114295,
      0.422524508269696,
      0.438243302455914,
      0.288523019860752,
      0.454278130763205,
      0.450990991421237,
      0.493190945590318,
      0.484592993373262,
      0.33593437853275,
      0.455487433702137,
      0.436481607813381,
      0.553089008911211,
      0.353117271527713,
      0.354885329595769,
      0.260481776984513,
      0.511042606597454,
      0.431291418462814,
      0.394487905772811,
      0.360685946383275,
      0.401408519332463,
      0.403976316470944,
      0.444855742438203,
      0.26984527388319,
      0.417107514178128,
      0.315379243312295,
      0.322058461494616,
      0.43427886280611,
      0.361707556406268,
      0.456579072659686,
      0.363300465251674,
      0.357690757389015,
      0.528062664650866,
      0.478074801823304,
      0.311082433078034,
      0.299840942538639,
      0.312023991263701,
      0.419607361053075,
      0.445981058994071,
      0.478687263016963,
      0.505929833483677,
      0.263421708926653,
      0.507318837743311,
      0.378761311148704,
      0.377701917156878,
      0.471453886321076,
      0.493632615768656,
      0.547627676096067,
      0.447742217063801,
      0.449579908002302,
      0.381891825869604,
      0.493163448885622,
      0.449474094349129,
      0.66724006994119,
      0.500548159459093,
      0.472692794453066,
      0.476057889893353,
      0.606933188268507,
      0.587029902038211,
      0.614125419170128,
      0.619167534725137,
      0.619593291585496,
      0.581062251474327,
      0.399194208870999,
      0.469875174078219,
      0.515483516940043,
      0.331810599611461,
      0.430794000831386,
      0.449649843148875,
      0.320981022918707,
      0.372213074100074,
      0.314700181249695,
      0.341702310804872,
      0.501589963758772,
      0.421592142036758,
      0.377606360648457,
      0.463160207433111,
      0.517861775683047,
      0.427973336206274,
      0.385895432649644,
      0.398181593531756,
      0.451952851803408,
      0.4965150745597,
      0.486701103686833,
      0.732896704259152,
      0.596317232101393,
      0.54819622788166,
      0.512133246440876,
      0.539155171724738,
      0.577110325918477,
      0.461621799704291,
      0.445144359939831,
      0.425177888058104,
      0.318086638153029,
      0.353014004064165,
      0.298343024250845,
      0.450890709546439,
      0.526007217603593,
      0.392136361603008,
      0.351101002870282,
      0.519216224983694,
      0.595951458577072,
      0.393742959064885,
      0.524897151618024,
      0.515927509508036,
      0.458216614479539,
      0.441542143671982,
      0.505876357269864,
      0.560231612428886,
      0.461485152056089,
      0.488886251220755,
      0.397823608373645,
      0.390230525730607,
      0.429368434949371,
      0.36751125393629,
      0.416245983969508,
      0.496658332990702,
      0.286213240642802,
      0.515705027792377,
      0.446235085522682,
      0.271919760847347,
      0.408042314427685,
      0.352839813446332,
      0.405349819141828,
      0.375147067141423,
      0.424286181953027,
      0.688602285556547,
      0.67188665207495,
      0.495631501596103,
      0.700524757314028,
      0.530119906001463,
      0.42106542308363,
      0.667890543736997,
      0.699300390841171,
      0.564864484197771,
      0.464079349366971,
      0.531833808886105,
      0.479860285658995,
      0.428406579863927,
      0.529867670030577,
      0.413476281060538,
      0.465993637461325,
      0.61516000125092,
      0.581318439664418,
      0.36114882270467,
      0.353951401376714,
      0.370654510933959,
      0.407013174335826,
      0.357790697272479,
      0.472854363341069,
      0.372599659204354,
      0.53578756458487,
      0.527479644443019,
      0.496764790615666,
      0.512675364093063,
      0.137963742597776,
      0.227677947888614,
      0.453992960137097,
      0.33199605189014,
      0.416855960269596,
      0.534047361570991,
      0.35790936820208,
      0.374906337495295,
      0.341232249133657,
      0.33874795376179,
      0.638361082006249,
      0.450410001284467,
      0.367915486805557,
      0.457582744646483,
      0.288392318919139,
      0.240085333894725,
      0.527925717730906,
      0.479953687477058,
      0.573908134898321,
      0.483101754723718,
      0.387740643086451,
      0.326940036494019,
      0.200002115743553,
      0.550744272149488,
      0.638091117423034,
      0.682898558297133,
      0.364826022643026,
      0.258774171333729,
      0.484088184671929,
      0.434515154497563,
      0.415412041519168,
      0.698162499767617,
      0.430913681245322,
      0.426627585213744,
      0.441409160358035,
      0.47552748919371,
      0.56419013225296,
      0.361116712247157,
      0.54793382744099,
      0.723250856499325,
      0.347520287324291,
      0.479404243676647,
      0.481336040083073,
      0.544954236035863,
      0.413090857355901,
      0.365534714471767,
      0.324138575040799,
      0.573077684666192,
      0.378079604585063,
      0.481700172107448,
      0.325931212423955,
      0.417363916194328,
      0.409221376781202,
      0.423037463588813,
      0.508644402707087,
      0.357234220893199,
      0.66247331456106,
      0.41664089241165,
      0.347737742920585,
      0.52458208286983,
      0.769345675537887,
      0.457030332893425,
      0.485639752337885,
      0.488265799966427,
      0.465012635922782,
      0.577775849073966,
      0.436103709539693,
      0.378186477610852,
      0.420258344307609,
      0.450847444520473,
      0.575127751814098,
      0.596747509526363,
      0.321991718796406,
      0.275188152380158,
      0.324938949088748,
      0.433105581262278,
      0.504691314523831,
      0.473477232656491,
      0.664889585699132,
      0.400818531255383,
      0.49672608809802,
      0.373971974318282,
      0.452398740981681,
      0.459303693982009,
      0.505332825119959,
      0.433483427492845,
      0.387168392724447,
      0.520042159672069,
      0.617887986621599,
      0.424902982919098,
      0.45983784856238,
      0.339620862474052,
      0.388536570276648,
      0.555737528918642,
      0.371699971145991,
      0.566351835342868,
      0.692501159391992,
      0.52940520378109,
      0.471169535830703,
      0.296193860813031,
      0.349259180498851,
      0.459873878971105,
      0.64979129420633,
      0.539321306746653,
      0.520391673165372,
      0.325161151848298,
      0.490162410221958,
      0.410377264188285,
      0.377489482669157,
      0.537542115338531,
      0.368520796004786,
      0.422009120475349,
      0.421029622036832,
      0.291049288000534,
      0.368590817402029,
      0.329250953269366,
      0.502399429452873,
      0.256522651062561,
      0.26254084126789,
      0.306470650354144,
      0.31695571319737,
      0.368714151364415,
      0.383194460712622,
      0,
      0.452492742997813,
      0.209531038931518,
      0.411516130374536,
      0.172623385434024,
      0.322680463276839,
      0.275322647403203,
      0.439429443760062,
      0.13514888686403,
      0.0804017304647371,
      0.373339582506013,
      0.291058415301754,
      0.326400912519004,
      0.093681847116114,
      0.239391056622146,
      0.333954529735798,
      0.396719882909098,
      0.392291072382356,
      0.266128193355528,
      0.0229909591042594,
      0.168248105470903,
      0.158036378214169,
      0.229221634418952,
      0.203795373928789,
      0.32184091652739,
      0.303595475339837,
      0.306300558214647,
      0.407659623010159,
      0.209045110938668,
      0.102092716875235,
      0.444321911067594,
      0.28102096488171,
      0.361340878288364,
      0.0306974603809087,
      0.453275984186999,
      0.182774826701467,
      0.025001537409341,
      0.509365626378875,
      0.253019522233566,
      0.135062058145523,
      0,
      0.0975007518680934,
      0.176106462983191,
      0.454345050416387,
      0.229383179387394,
      0.466733188864519,
      0.211935890225287,
      0.443565206846232,
      0.532853316243212,
      0.288391226640554,
      0.532535461313237,
      0.357547721117043,
      0.509505054207963,
      0.175914982790296,
      0.290446539888077,
      0.166462548548674,
      0.214864634651275,
      0.360541623405042,
      0.266794851137562,
      0.419421114472553,
      0.255513065609673,
      0.461225308754004,
      0.356917409099603,
      0.501575100932536,
      0.419691817408739,
      0.508263576364387,
      0.435264388061263,
      0.378789883413832,
      0.44888336196649,
      0.694981466235792,
      0.345560892334982,
      0.341811758130791,
      0.411036306856012,
      0.304055195566445,
      0.569433612441183,
      0.408318800556465,
      0.236457291138931,
      0.37274431489612,
      0.461286552725888,
      0.356863877335447,
      0.347838997878997,
      0.432080168523878,
      0.242658518823261,
      0.0821795713913388,
      0.192077517745482,
      0.544570155078431,
      0.434797338362966,
      0.510165122892628,
      0.326576898874768,
      0.244393757243878,
      0.502722581903988,
      0.529105580878511,
      0.320396688433455,
      0.645435366265623,
      0.494317598055504,
      0.35521456003332,
      0.339832009395622,
      0.311311162796702,
      0.532529533356584,
      0.262434516019857,
      0.413476893374932,
      0.137541366532201,
      0.303794207820737,
      0.136821502483184,
      0.378142396000841,
      0.400226355089482,
      0.564458089539115,
      0.322192350361281,
      0.473998971424632,
      0.348965337553356,
      0.456704394288617,
      0.477910511828054,
      0.4671028819325,
      0.471059690484531,
      0.529687152831373,
      0.67025473835848,
      0.524430342903969,
      0.620668320303789,
      0.660897131608995,
      0.277978546246841,
      0.611390257443356,
      0.514139794394354,
      0.340082785026744,
      0.4274349621498,
      0.755905228549154,
      0.505082102753128,
      0.41630521982479,
      0.427843151490711,
      0.354331445170242,
      0.322142361161553,
      0.280335985638661,
      0.428770279954402,
      0.336247824780563,
      0.408247266125808,
      0.754360536989773,
      0.341696252733704,
      0.342214649166459,
      0.53119590440708,
      0.399240929929596,
      0.43804542994112,
      0.391178928326372,
      0.384800623126239,
      0.400490405096309,
      0.457404219062438,
      0.431998279653413,
      0.703715725064394,
      0.309533828393976,
      0.486751767105818,
      0.394768666064241,
      0.48696791918688,
      0.504179091709086,
      0.40747636788684,
      0.479656624494545,
      0.476661410764271,
      0.582132806326205,
      0.340555628696785,
      0.32169212898575,
      0.54382023687193,
      0.497338509052018,
      0.73929407655348,
      0.409477548281536,
      0.384142165569036,
      0.440816956448098,
      0.350880280241867,
      0.308374416468075,
      0.830364903917662,
      0.354687170372759,
      0.460700880943225,
      0.67960307594367,
      0.428296789376608,
      0.4455071609186,
      0.321543124457472,
      0.380667561122467,
      0.439855000639775,
      0.377896341445562,
      0.301179998853732,
      0.274208949574666,
      0.30835462384107,
      0.299685975015455,
      0.468417865540957,
      0.310581586200458,
      0.568954678303038,
      0.497769117455705,
      0.466766661648922,
      0.364914395609676,
      0.297192072268158,
      0.253869819273424,
      0.11530769767948,
      0.443586989854108,
      0.221647514874127,
      0.285607254673421,
      0.452915070143098,
      0.261851364808171,
      0.497425944467706,
      0.50569800920385,
      0.391855653105146,
      0.397846696717742,
      0.246603917397042,
      0.503461516647108,
      0.348870327033227,
      0.271017974024147,
      0.40225492932427,
      0.561749896213229,
      0.570939616915943,
      0.369608555241121,
      0.482397529891765,
      0.623806713660658,
      0.380028906953985,
      0.26789963150733,
      0.331867024453577,
      0.281571378143306,
      0.396120607179872,
      0.488316930041868,
      0.370381626575138,
      0.460441848276399,
      0.245708077433362,
      0.418903900643749,
      0.435013312218566,
      0.643618169804546,
      0.628641806703305,
      0.45471191983176,
      0.324522848332308,
      0.361622030759434,
      0.396460554205051,
      0.49979826227356,
      0.520743101073572,
      0.358577997014925,
      0.429624287327376,
      0.600857662004187,
      0.526219630330512,
      0.4667515929547,
      0.322115335718857,
      0.386352479359106,
      0.450384906837144,
      0.630580378052594,
      0.388487953673736,
      0.456913675247802,
      0.283164152085141,
      0.456689711196131,
      0.387932219959331,
      0.358620642615949,
      0.524413384322177,
      0.523493023016786,
      0.588532628838147,
      0.410894425772514,
      0.332052342859186,
      0.418297200181004,
      0.400817683576381,
      0.332365881403025,
      0.431083331320416,
      0.381906668866047,
      0.569535750378399,
      0.345656787643122,
      0.358921786952164,
      0.497478210636941,
      0.573300220197163,
      0.313291897787228,
      0.360258363219325,
      0.304382277317936,
      0.377915463017774,
      0.457952235579454,
      0.441597715767547,
      0.40075807095449,
      0.308931890795444,
      0.452413510477232,
      0.559665296510681,
      0.315008003980112,
      0.511285542491514,
      0.38272528797944,
      0.498104167802592,
      0.456353967925875,
      0.409942744710879,
      0.345185738969903,
      0.514181950317161,
      0.416386237477291,
      0.603813958751431,
      0.502068576944251,
      0.345370231871611,
      0.521295451045784,
      0.553347910639816,
      0.518280439670058,
      0.422982737563267,
      0.468992782836047,
      0.478047042482146,
      0.368572304367966,
      0.458842180045716,
      0.387122446363307,
      0.410689933802583,
      0.384596550241288,
      0.375954050928758,
      0.527822103387898,
      0.341000129226099,
      0.375487152569339,
      0.484152669403534,
      0.407414296457866,
      0.534540944966519,
      0.398026671058141,
      0.419925238518411,
      0.671886252617895,
      0.502368255447864,
      0.332790548428029,
      0.43598022138662,
      0.277349236867988,
      0.436963352246162,
      0.543597132938765,
      0.520993088108055,
      0.761311608486933,
      0.496812187091454,
      0.488230690620825,
      0.446506114313774,
      0.400183590504285,
      0.526395626770474,
      0.576000834309674,
      0.367228222622656,
      0.455958783401742,
      0.300769212776896,
      0.298418342342797,
      0.35824554716879,
      0.427414130726401,
      0.492159035915392,
      0.377949456675716,
      0.373632124586463,
      0.659360787572213,
      0.415405938421748,
      0.456292402672257,
      0.365558461316493,
      0.530321981148873,
      0.475506078433179,
      0.61211803025133,
      0.703165272781142,
      0.593085704127418,
      0.450710979154807,
      0.507545620889273,
      0.362300427668408,
      0.332906733821555,
      0.451027897482936,
      0.444280163739121,
      0.435955990183557,
      0.52087255164194,
      0.303313043523416,
      0.438222111114097,
      0.416978277392713,
      0.328323251549069,
      0.511701711584201,
      0.369029090817359,
      0.456529620348883,
      0.387598594437927,
      0.392356495246197,
      0.720631325683195,
      0.70175706930711,
      0.387605011313877,
      0.640586445120044,
      0.34379179612419,
      0.452577449507376,
      0.749211148924196,
      0.613509713899359,
      0.644325020432174,
      0.446122497222128,
      0.626712964847368,
      0.445501366349577,
      0.407988718006289,
      0.460494590534108,
      0.338746644851368,
      0.489758511427371,
      0.491531868631063,
      0.636752478132215,
      0.40412705636945,
      0.361658807325548,
      0.403218966067722,
      0.38534674518193,
      0.346710648411152,
      0.489756210066241,
      0.370184865062131,
      0.500542623745825,
      0.5999080603463,
      0.422770989848102,
      0.492487167988807,
      0.164570234355153,
      0.259957283916318,
      0.478010306479795,
      0.269078844262715,
      0.367955293231318,
      0.310552691896307,
      0.285445171085836,
      0.300021380594988,
      0.323245453712234,
      0.401889200130238,
      0.590360276150199,
      0.400179109016321,
      0.365844419145771,
      0.567616346754521,
      0.355963088618816,
      0.178798607320504,
      0.797002237001083,
      0.397309754536861,
      0.522672485608154,
      0.565749204917357,
      0.507775645819702,
      0.227469903144377,
      0.182549420430156,
      0.579893994144781,
      0.570727514920213,
      0.675613377576311,
      0.407541712446783,
      0.283469768869651,
      0.48747264023419,
      0.380177922042502,
      0.376512925583738,
      0.513936392192986,
      0.595476745394974,
      0.456525748251587,
      0.523491228098141,
      0.525143913885827,
      0.664774322954533,
      0.349320797465684,
      0.554239899789765,
      0.761390169395789,
      0.36499164872095,
      0.466009970744537,
      0.517341590065667,
      0.409629010947259,
      0.394292744806689,
      0.461655569318835,
      0.286236219456497,
      0.430982990454978,
      0.382553998054953,
      0.449466830459525,
      0.35101655449439,
      0.429564521595773,
      0.412777060143884,
      0.394151361625593,
      0.412822853166524,
      0.433352862410668,
      0.547634298401091,
      0.43901849361814,
      0.348520797862555,
      0.509964867217549,
      0.486029556544909,
      0.510881148126365,
      0.501409193227368,
      0.588963609450006,
      0.473790305472866,
      0.538463093843822,
      0.37414771388116,
      0.33921493544158,
      0.502389219725351,
      0.391313529273917,
      0.3866821518994,
      0.393288757896911,
      0.473069294338078,
      0.351378357593054,
      0.310782351344423,
      0.487345485704811,
      0.534046659837233,
      0.605145094046947,
      0.604076937350246,
      0.349599752414535,
      0.55575591689773,
      0.423451694907951,
      0.437700279696722,
      0.570190142720199,
      0.466959841752044,
      0.432187301599823,
      0.458123290716284,
      0.53661871192974,
      0.656210310412314,
      0.426780308519907,
      0.457205307662484,
      0.332938137862145,
      0.450741252931388,
      0.519680989327717,
      0.351282718676341,
      0.564411957261185,
      0.763053692337241,
      0.496481372662313,
      0.516703365167987,
      0.361189616559216,
      0.387060298255417,
      0.479943612757916,
      0.673185626361911,
      0.561108140357396,
      0.40857050618382,
      0.426310059696285,
      0.480543543118838,
      0.48839541716586,
      0.284640527295723,
      0.379214608674781,
      0.278815108168161,
      0.43611150543761,
      0.341830855721177,
      0.282977382368858,
      0.460394031050208,
      0.349897949860346,
      0.520273499737875,
      0.327741676822328,
      0.306712256574155,
      0.307299757827588,
      0.415146185937634,
      0.367963154785718,
      0.372839180871925,
      0,
      0.707863690961201,
      0.208988213586178,
      0.373322362923799,
      0.183952362315222,
      0.329193508923107,
      0.310679391437734,
      0.608563358207426,
      0.167659141183882,
      0.0297170730652837,
      0.393267589012082,
      0.392714380649369,
      0.291782428459829,
      0.103352399639045,
      0.368959427863059,
      0.333585647488931,
      0.444942260237418,
      0.36459123371616,
      0.296365782258884,
      0.185289439006021,
      0.0674485657790858,
      0.127760530530515,
      0.209573258812632,
      0.141239986612612,
      0.211974578554801,
      0.29698310988301,
      0.325625844061577,
      0.315089088481197,
      0.149315716294119,
      0.116929752513384,
      0.410565862829096,
      0.25249564786794,
      0.307983566054894,
      0.032423816310583,
      0.5618990408629,
      0.1557531968797,
      0.0286168325083687,
      0.518641004352859,
      0.329789998387882,
      0.212715252578591,
      0.0434488729538654,
      0.10564610475996,
      0.28551483058122,
      0.232624552072576,
      0.243042614339593,
      0.592453965233711,
      0.228174974720201,
      0.435472118510307,
      0.531259925582786,
      0.578454810110406,
      0.702003376475398,
      0.42138729668426,
      0.506380997328065,
      0.246822680298902,
      0.297911628825514,
      0.30857310860486,
      0.317276422376058,
      0.378589800564334,
      0.426479478048231,
      0.437775366571475,
      0.494237757494804,
      0.378216687788277,
      0.380059817002313,
      0.487858760493148,
      0.39347872384073,
      0.511515248425943,
      0.400424846868468,
      0.850001689479512,
      0.442511098311363,
      0.824028215299433,
      0.319104539676733,
      0.231677769768946,
      0.51032903198641,
      0.165057891877847,
      0.642580115568668,
      0.419233715456052,
      0.250956967290875,
      0.353209558693453,
      0.369887872637845,
      0.316854541639086,
      0.392892571880896,
      0.202015677782523,
      0.26869936453835,
      0.0301990080633577,
      0.27636196321636,
      0.576966604070006,
      0.607690680297395,
      0.504734842647315,
      0.333889013928137,
      0.231912236132927,
      0.638567635341405,
      0.704003586557689,
      0.37686752504578,
      0.583000250823521,
      0.485790734953341,
      0.381750371733516,
      0.306402043443561,
      0.335514941013291,
      0.443601585791437,
      0.283369707505352,
      0.45831902935404,
      0.151819415197689,
      0.350653822969092,
      0.173691248449299,
      0.149681820405944,
      0.415907325776896,
      0.319316688833787,
      0.298675228010481,
      0.439722869822915,
      0.441627431289367,
      0.495929301419623,
      0.60939797520482,
      0.363105447665591,
      0.406023687380003,
      0.846667204589364,
      0.805941978598209,
      0.664515843381002,
      0.783886792352495,
      0.63355619127079,
      0.310369320853465,
      0.502857269287667,
      0.495051180337687,
      0.348267229017154,
      0.450755042349564,
      0.713925928475517,
      0.41320668345097,
      0.509284672818416,
      0.708332785989836,
      0.467423337438614,
      0.319199457340175,
      0.288401157885279,
      0.416679173829168,
      0.319179023450224,
      0.49593382150637,
      0.593155778304951,
      0.294002667817607,
      0.336675810359354,
      0.468475816621502,
      0.643865709524031,
      0.329493578919151,
      0.410925538642421,
      0.486953065922612,
      0.492434889334009,
      0.736565627592769,
      0.468512995427958,
      0.453397283892719,
      0.375660159109948,
      0.47272782000848,
      0.408990748475327,
      0.448500407718736,
      0.533708302492432,
      0.34566402771345,
      0.490416283692023,
      0.590773121037055,
      0.598530633167985,
      0.459058922000846,
      0.347993236408702,
      0.54380255646471,
      0.517067817963498,
      0.460181419755626,
      0.410691775683115,
      0.374463212797246,
      0.503927951076742,
      0.38113670524256,
      0.268920469957604,
      0.680151405878598,
      0.275108129777589,
      0.463876806355011,
      0.637576602137802,
      0.541220601399434,
      0.595485607785755,
      0.380211309924483,
      0.376280679417579,
      0.465204645612197,
      0.428344046430818,
      0.301774912631463,
      0.304680928142098,
      0.333756335227372,
      0.366696109898357,
      0.713311974222355,
      0.720211146631566,
      0.642414221413973,
      0.68465617245314,
      0.734309785041191,
      0.386315794307625,
      0.340200865522981,
      0.211464080007508,
      0.188088276392573,
      0.407687705517775,
      0.27288539832252,
      0.248553273372264,
      0.533178892281999,
      0.292248386925249,
      0.726487123382,
      0.740968696955266,
      0.441723763297515,
      0.345038060694114,
      0.273868940447506,
      0.542286986911541,
      0.355903840044855,
      0.266785638827222,
      0.434708866867196,
      0.285087069597969,
      0.572887165510394,
      0.610976937639706,
      0.483725062112203,
      0.610505642214919,
      0.325577987627088,
      0.297479175897404,
      0.306871879975622,
      0.32850713783688,
      0.527170005518993,
      0.65484599889997,
      0.329687764781312,
      0.71097125235284,
      0.324476351023901,
      0.396390048120683,
      0.597144573421347,
      0.73813708309204,
      0.718704722821853,
      0.395095919261613,
      0.289646465294872,
      0.341674995135309,
      0.453527767262101,
      0.549903505527872,
      0.745969629142658,
      0.531576528957957,
      0.335420932978144,
      0.770849969810784,
      0.508509983102171,
      0.495884688319703,
      0.346427041787589,
      0.397836069152977,
      0.444473013396916,
      0.641948430004536,
      0.313140853102579,
      0.413260129869208,
      0.310327684489367,
      0.496852295657221,
      0.425231399205142,
      0.363113672172204,
      0.660723006229573,
      0.674193580940707,
      0.719477488498711,
      0.405490047982508,
      0.4703197473459,
      0.725334709127119,
      0.505223894081428,
      0.441209932360625,
      0.443461042405574,
      0.450735719139646,
      0.625626303854768,
      0.340347874108852,
      0.279053377560676,
      0.516227391679963,
      0.601050067056966,
      0.328182413335891,
      0.365320035613258,
      0.404548337682997,
      0.682356803983189,
      0.457751076673947,
      0.399956864546278,
      0.412422270799734,
      0.321021439328283,
      0.450961451309131,
      0.567982076715516,
      0.486442388026157,
      0.498876602432331,
      0.37950685607107,
      0.670720230202276,
      0.655253723937772,
      0.40840590246928,
      0.359384686762002,
      0.325374082769583,
      0.46739783637044,
      0.453179206978625,
      0.570552672028238,
      0.318187423778758,
      0.543983336861169,
      0.555260017595615,
      0.5582565903529,
      0.601101521260764,
      0.560954707948592,
      0.560408969152384,
      0.34017592531387,
      0.485257549867111,
      0.378517576039542,
      0.435832447883476,
      0.651134958416161,
      0.302434011654852,
      0.778306571004066,
      0.419491205161725,
      0.485136069948569,
      0.629781172969953,
      0.286205511083645,
      0.531955182277645,
      0.382429092849624,
      0.370224682817418,
      0.829860942132217,
      0.574409071460178,
      0.394548705393919,
      0.467956993648684,
      0.432228532884483,
      0.415877218586197,
      0.511258333246414,
      0.481616962829564,
      0.702500334168202,
      0.401300757664015,
      0.573237178793411,
      0.414380318985268,
      0.417303985216747,
      0.436597390028642,
      0.711982256909656,
      0.236556967362833,
      0.706523253457764,
      0.323953878740587,
      0.276757593042507,
      0.364366850154869,
      0.360362998452475,
      0.427577783940447,
      0.425937095431921,
      0.33208238075912,
      0.62740024558986,
      0.436306768058121,
      0.493403724989892,
      0.422932852205928,
      0.497782411895903,
      0.52031590064552,
      0.745534343227145,
      0.752472310407199,
      0.602384987632093,
      0.526501073643481,
      0.60218670910387,
      0.335126146950887,
      0.37399578942975,
      0.477153406540651,
      0.589278920931369,
      0.390292093147386,
      0.664746200942896,
      0.612210251949907,
      0.583632235810692,
      0.514856041764655,
      0.469485403538241,
      0.472803474772765,
      0.40503652768402,
      0.531780672504564,
      0.512545907065006,
      0.40859076419231,
      0.536076668540582,
      0.581932258675002,
      0.365834135215048,
      0.43487232984851,
      0.409635022000971,
      0.468631781230404,
      0.585074264618092,
      0.621213869619686,
      0.697712769118114,
      0.591902216940232,
      0.658304665295641,
      0.427235005294849,
      0.468663485909755,
      0.440877417120348,
      0.326463898068698,
      0.483145927757516,
      0.460457665824771,
      0.705159056256206,
      0.438632607099245,
      0.521406567849763,
      0.509731665825853,
      0.419860697396901,
      0.482904961645781,
      0.48818526101135,
      0.577116870407046,
      0.604702068813473,
      0.527820131253958,
      0.367209361478782,
      0.510966464845587,
      0.3944745261967,
      0.326609227866375,
      0.513573828861388,
      0.222092764085315,
      0.366313764123769,
      0.374315404712551,
      0.265376427255254,
      0.451557934153595,
      0.38250384407357,
      0.563181039231429,
      0.269186051404275,
      0.493340697196147,
      0.31797826278084,
      0.62840087955936,
      0.5856205310095,
      0.268619082711364,
      0.740892614482415,
      0.369808724168595,
      0.619588376013356,
      0.737928713637869,
      0.56843184890161,
      0.218865301942706,
      0.23450696847057,
      0.569470300354436,
      0.371335302278796,
      0.497325991105961,
      0.595904469624262,
      0.354830718855375,
      0.503101452025645,
      0.482770073085309,
      0.565306558116736,
      0.500903585685103,
      0.682379153134514,
      0.485400691718967,
      0.638666214752924,
      0.64863833928918,
      0.619934043719395,
      0.401387582586826,
      0.469643287902479,
      0.719922457721785,
      0.423415471632785,
      0.468324638056244,
      0.548496686905868,
      0.274336374893606,
      0.580269242969036,
      0.590544821424873,
      0.389284943838065,
      0.366453527491206,
      0.596284153209871,
      0.421906847423781,
      0.528804835431138,
      0.499588835723959,
      0.341666714219773,
      0.362682269824816,
      0.394857186615531,
      0.382200637216599,
      0.596761004040801,
      0.389597069359922,
      0.493223703185241,
      0.545202774899477,
      0.544052395572635,
      0.495078742892975,
      0.489174888240381,
      0.880147170639068,
      0.479485644738909,
      0.519306940181135,
      0.394923174202557,
      0.289932484066505,
      0.529109678699666,
      0.482313963836618,
      0.38650026701776,
      0.551409734532064,
      0.54839665741817,
      0.375229666412309,
      0.31680803312371,
      0.558262665685145,
      0.566407507283682,
      0.553945598486072,
      0.68355202867755,
      0.363854334689906,
      0.649025221066357,
      0.601476780778427,
      0.461985461047596,
      0.528368185146374,
      0.598417074678994,
      0.453922275851386,
      0.633029267989408,
      0.443935614110688,
      0.600058233726772,
      0.470374040111168,
      0.468974058909931,
      0.430669887096316,
      0.456038568007109,
      0.500947267839514,
      0.355083783337623,
      0.587108966545944,
      0.7597592541691,
      0.700072006831461,
      0.839782758639704,
      0.460796166529535,
      0.462111387219272,
      0.519201879540878,
      0.597170998193094,
      0.591821424903224,
      0.370409248022435,
      0.348375252640764,
      0.566361727971753,
      0.502747712681,
      0.28534014253116,
      0.297976808714084,
      0.481281504794935,
      0.467167006352072,
      0.500298839338573,
      0.328693473460644,
      0.611877969442891,
      0.562099196962662,
      0.536294324292081,
      0.408539512359494,
      0.488756696163786,
      0.353178131854283,
      0.462894230997073,
      0.337563340007497,
      0.514567798672093,
      0,
      0.668190269106962,
      0.169894006418277,
      0.302203028728104,
      0.136924018753148,
      0.292563242186516,
      0.2271527686359,
      0.671117434831486,
      0.15977794660287,
      0.0401640174013551,
      0.299516486918326,
      0.460671295809919,
      0.168229504383189,
      0.0746604726708435,
      0.31313187982344,
      0.318904872041611,
      0.448052958054623,
      0.380655725896364,
      0.300420140096683,
      0.277202976201676,
      0.0352833287054764,
      0.0317985032248832,
      0.164680558020839,
      0.219843769394708,
      0.261007086656681,
      0.314808161524143,
      0.336100000985753,
      0.354815690864995,
      0.152231877640929,
      0.132472994432791,
      0.370690217452048,
      0.241311696334492,
      0.33400804338853,
      0.0713205014476728,
      0.6317006508532,
      0.123564993450355,
      0.0194233822284023,
      0.530141524156195,
      0.344562872943973,
      0.188628125868873,
      0.146801557282622,
      0.116531079479377,
      0.278676680356378,
      0.12550731438084,
      0.436856065035176,
      0.538514938482746,
      0.28101850968585,
      0.519593980563621,
      0.399643869833267,
      0.572371465376639,
      0.634550078778763,
      0.48391125589297,
      0.457335426028667,
      0.272892862057103,
      0.349594112992569,
      0.360971715741195,
      0.380264989805415,
      0.372998594135705,
      0.452870877302977,
      0.441652317226136,
      0.528987605576398,
      0.388433282577161,
      0.384972317455621,
      0.456873034085838,
      0.32293871871842,
      0.530639572603289,
      0.408182625910234,
      0.892872565657211,
      0.492041746116563,
      0.873564211867885,
      0.356717440963451,
      0.275287543885597,
      0.45601658787161,
      0.189841537351645,
      0.617458435481679,
      0.394725393084104,
      0.222385563559121,
      0.334830472554537,
      0.38764325053217,
      0.241612599562024,
      0.381333885980499,
      0.223438412077538,
      0.219209716915596,
      0.0483125034766918,
      0.264412598850064,
      0.582369256813822,
      0.864261242125865,
      0.47721854339879,
      0.348544277860957,
      0.258172580768243,
      0.656199229139215,
      0.83883660074276,
      0.603721405053464,
      0.551113180313188,
      0.393252373308524,
      0.349816377312438,
      0.269405954821856,
      0.344216952493834,
      0.407862779811156,
      0.255930706283073,
      0.436226014583493,
      0.0946799177839825,
      0.341417059581207,
      0.107646930392915,
      0.243341626924145,
      0.472703946857698,
      0.327210482253605,
      0.3253848018849,
      0.271995329835278,
      0.471744960157304,
      0.490212716257505,
      0.666113648351104,
      0.27064656778067,
      0.357875299145073,
      0.859359844843558,
      0.852676975017503,
      0.858543729308007,
      0.854633903410047,
      0.572563363825472,
      0.408128176069782,
      0.474032948046659,
      0.42654418967715,
      0.341364638158981,
      0.433143089218529,
      0.595097460565623,
      0.422621763525593,
      0.489175308178277,
      0.732060267234561,
      0.45262284650029,
      0.287799489898701,
      0.197399235807324,
      0.459160989871002,
      0.246797625584128,
      0.534725243934269,
      0.401192258174554,
      0.254423611670873,
      0.500426353710293,
      0.421914250241339,
      0.604643059342994,
      0.325633772800326,
      0.404882495288367,
      0.506616711034048,
      0.500068070288621,
      0.744241864889622,
      0.445014914658005,
      0.43058510060178,
      0.385830194480414,
      0.449787046344391,
      0.387957075703252,
      0.406810669685529,
      0.296355197863329,
      0.388803297582517,
      0.492874941504777,
      0.586421490871428,
      0.548320553014315,
      0.443504873460613,
      0.365011026311013,
      0.587852305883023,
      0.544754019051411,
      0.411526497479,
      0.436025056231294,
      0.359265733520808,
      0.503207587539791,
      0.397554085816363,
      0.336117603108236,
      0.525122461731182,
      0.291403703365744,
      0.448793090224034,
      0.716421960306231,
      0.636306412390542,
      0.628608282005688,
      0.455782954429278,
      0.393745769342847,
      0.421174079199192,
      0.415497471886622,
      0.197731175257534,
      0.257215073055649,
      0.31201352690292,
      0.308082681619796,
      0.720549913242776,
      0.70681449294705,
      0.574662108424945,
      0.722933992558683,
      0.700674423364385,
      0.332710359162776,
      0.224156356486575,
      0.120987420166071,
      0.180919935994841,
      0.409035596862951,
      0.259721181790003,
      0.278333573872165,
      0.53326732952654,
      0.28850618123009,
      0.723245588085243,
      0.687646304399761,
      0.365826089596249,
      0.249103612959537,
      0.359932920754717,
      0.57846204667651,
      0.383283397401272,
      0.239389985206078,
      0.466506815200965,
      0.275179658728652,
      0.498185354344539,
      0.640064150247703,
      0.40381127370511,
      0.447803771245192,
      0.364867054676737,
      0.277041267512047,
      0.292835610831089,
      0.275389550601123,
      0.519638595543032,
      0.610108237417161,
      0.397141299399768,
      0.657849353743819,
      0.284816226803245,
      0.367158122802876,
      0.77310028437907,
      0.719045831072616,
      0.61607633643847,
      0.410074055680112,
      0.376294766394392,
      0.369637624499152,
      0.396809758766172,
      0.589723277739558,
      0.695896714747938,
      0.530335194587279,
      0.397108128285478,
      0.723777169973223,
      0.475913781293142,
      0.465839740148003,
      0.328625276494672,
      0.429418388978039,
      0.476808222959712,
      0.533258214326107,
      0.344893600750556,
      0.36861754265768,
      0.267672312687061,
      0.594902657730767,
      0.629997035660541,
      0.350137986082582,
      0.554221544007902,
      0.642133866622051,
      0.609774896207792,
      0.433580495251272,
      0.526357474550936,
      0.76321671187874,
      0.51198045831209,
      0.444501543199235,
      0.420096717660059,
      0.410254012830312,
      0.652427776125974,
      0.388835040221366,
      0.265241708259184,
      0.541154157090689,
      0.557858427363126,
      0.317969909871747,
      0.349700696039585,
      0.418153302667439,
      0.711984051914511,
      0.46212915158987,
      0.362151317841715,
      0.424966095105085,
      0.226941293476515,
      0.546004943185822,
      0.501696033711252,
      0.487730283224048,
      0.455474934129145,
      0.378049059816701,
      0.708675274721087,
      0.646687975839599,
      0.39078846377378,
      0.218281094311261,
      0.373107004479755,
      0.473035372072595,
      0.416650110592662,
      0.607991069483525,
      0.350743020466012,
      0.481117006941007,
      0.566365198345389,
      0.54953105810117,
      0.842670425471081,
      0.548856207015785,
      0.771679860775263,
      0.337843858644399,
      0.578422283742088,
      0.308214601914537,
      0.43590913812368,
      0.648772831827103,
      0.271463880616195,
      0.754014754061212,
      0.46524659842666,
      0.54397849258222,
      0.64107957019319,
      0.312625105627705,
      0.553893232221978,
      0.439255152454707,
      0.331458979884179,
      0.87663487249225,
      0.646804763647981,
      0.44217943447631,
      0.42766458321907,
      0.418553332098665,
      0.442630916741673,
      0.438330741480518,
      0.498106124367661,
      0.547679468250799,
      0.34140563574351,
      0.828059027063267,
      0.427092068004957,
      0.394245409576853,
      0.351021177756674,
      0.692157904797423,
      0.26123894089407,
      0.801948342899852,
      0.260271394407517,
      0.237118394409004,
      0.590429225345081,
      0.37260262556294,
      0.480454169569088,
      0.517092453926702,
      0.297662652542808,
      0.482082991622823,
      0.44619761301251,
      0.50886217804047,
      0.422485774353424,
      0.429098383299618,
      0.521990672230535,
      0.647381021576439,
      0.773091508360783,
      0.548750714871131,
      0.605028401447079,
      0.563762988815806,
      0.374614105414046,
      0.383793692699108,
      0.500903400978361,
      0.503451388112048,
      0.364944560864968,
      0.672672772835622,
      0.628841930802856,
      0.579418279990664,
      0.489990184266815,
      0.574807716770826,
      0.388891722962739,
      0.441432043557016,
      0.629065259302955,
      0.495777471282596,
      0.325397441965371,
      0.497888318237451,
      0.400911649837456,
      0.37083033341175,
      0.299676931500725,
      0.427275383928918,
      0.493071716194732,
      0.464196781412814,
      0.625406346398457,
      0.678220209133734,
      0.538995487387279,
      0.63964990577186,
      0.472838529321654,
      0.466512674330635,
      0.621796243120016,
      0.348266444901874,
      0.414834963264295,
      0.404650748100491,
      0.710768529108819,
      0.527706664038122,
      0.469865936700957,
      0.501794560764983,
      0.43630979042953,
      0.580457871109806,
      0.456098766752535,
      0.626935461166437,
      0.597330041646699,
      0.383308106107468,
      0.353281980424342,
      0.5579164454995,
      0.463255863089066,
      0.311012975751989,
      0.527290087641443,
      0.231659873776714,
      0.34002079244785,
      0.401643927269539,
      0.242026319019319,
      0.480227509961036,
      0.397773162044151,
      0.566694355565686,
      0.313409663413986,
      0.479356113515712,
      0.368514900380464,
      0.528952833313106,
      0.580368715689973,
      0.258016536978398,
      0.712192852616083,
      0.379503720856821,
      0.605416460297413,
      0.836900050966755,
      0.466005856572875,
      0.26264861991203,
      0.233227391363294,
      0.59056372882683,
      0.305687985925102,
      0.426276687149538,
      0.667817681860699,
      0.421069204821214,
      0.473305013938478,
      0.483219449468834,
      0.533635691606453,
      0.524984296050403,
      0.539376418915928,
      0.504552643402824,
      0.678854711556372,
      0.787906251983109,
      0.532372025470187,
      0.497202686269338,
      0.415394513859206,
      0.588424685005123,
      0.430088128113227,
      0.442514259049948,
      0.478010323644039,
      0.440103626109232,
      0.523820491754403,
      0.474936630806001,
      0.493374577645527,
      0.379835558239674,
      0.765975863313405,
      0.434255168961795,
      0.505227534883364,
      0.495962767684973,
      0.316528283958466,
      0.460756390806755,
      0.419566729025964,
      0.354449621998096,
      0.616942743638244,
      0.428555918569022,
      0.736317223875726,
      0.517128862686401,
      0.559900503886656,
      0.505183964527032,
      0.511700467205222,
      0.832409574322971,
      0.470590815057643,
      0.535245884446387,
      0.499509894793659,
      0.304857952462523,
      0.360836642637557,
      0.474761110202281,
      0.407014230225588,
      0.513567424793159,
      0.680550549802566,
      0.54740195164864,
      0.326183170210663,
      0.584060061167938,
      0.558483611579516,
      0.435270310785328,
      0.680274933001498,
      0.338761981254676,
      0.638957128025751,
      0.67879349956337,
      0.444519514346732,
      0.521826294255453,
      0.615356922614781,
      0.488702480464519,
      0.655823269969179,
      0.490647418680003,
      0.518145670635317,
      0.676224403135211,
      0.578332620580769,
      0.366334003502747,
      0.572580160019836,
      0.591272694415705,
      0.325308940398126,
      0.577780920913553,
      0.764514824578945,
      0.821629319665995,
      0.831013846175792,
      0.481302237086115,
      0.571146140858109,
      0.514902027037709,
      0.507841354660772,
      0.528177242056674,
      0.419067161110198,
      0.305419219658983,
      0.575791455323899,
      0.50441637577434,
      0.25835908288825,
      0.35418103581238,
      0.639112422921019,
      0.498177513620393,
      0.460118448303854,
      0.324113141630934,
      0.565925355187282,
      0.751723828965702,
      0.531691058381701,
      0.411619287443862,
      0.493449928323272,
      0.340480403557236,
      0.424254595301626,
      0.251819973126275,
      0.531143752071742,
      0,
      0.300438338862094,
      0.177101039046611,
      0.2997951225998,
      0.0719591440378643,
      0.282831566663373,
      0.180431943476431,
      0.64618564067994,
      0.12300748331801,
      0.0153299364231536,
      0.378618100126052,
      0.316420700151869,
      0.156697924103971,
      0.0257357661038952,
      0.279214564166349,
      0.272391713164578,
      0.486357315822245,
      0.531675660544325,
      0.250268215871038,
      0.15300589377416,
      0,
      0,
      0.158396150212384,
      0.300394071283875,
      0.45363074726073,
      0.276612975882208,
      0.311323236042306,
      0.391076653261895,
      0.137932960565648,
      0.0741478671935749,
      0.236004476766247,
      0.231950386236276,
      0.36191346330933,
      0.0919423869871245,
      0.658539486516926,
      0.0663210513339819,
      0,
      0.483936833435309,
      0.149346311536005,
      0.0349751246738744,
      0.0654449959563393,
      0.134886002858155,
      0.262765930852941,
      0.172319684916512,
      0.480791809266351,
      0.32043907527278,
      0.165418432054792,
      0.478690851886526,
      0.251272218181329,
      0.196383832206942,
      0.360105972356165,
      0.560152303047974,
      0.544109557281899,
      0.226452728819171,
      0.314617045672887,
      0.197161744459155,
      0.251005424202556,
      0.313875380739929,
      0.252000518321716,
      0.305820072536265,
      0.294611908289542,
      0.458536662058559,
      0.29215509564863,
      0.469244336513666,
      0.284016103766951,
      0.488896320781167,
      0.423525188775027,
      0.592364846378158,
      0.590672698484163,
      0.71467087439933,
      0.368601297780115,
      0.221087339352067,
      0.246830239800899,
      0.235506286050856,
      0.368786073482735,
      0.341857289542643,
      0.234479210093972,
      0.37892137298987,
      0.356331563724812,
      0.119685467892224,
      0.331461753002833,
      0.206574730888052,
      0.229343991096976,
      0.0885184506730157,
      0.212780487499868,
      0.475941992224375,
      0.830055761765067,
      0.448073962301319,
      0.317018245958675,
      0.21427795812693,
      0.535156658588755,
      0.790664371946231,
      0.852940031400149,
      0.538374729782815,
      0.46127878654396,
      0.360440734131847,
      0.276423628780272,
      0.34535969146938,
      0.350079578511168,
      0.205184959677162,
      0.409791616119184,
      0.10473116539141,
      0.465330098760663,
      0.199682788015922,
      0.367381888911421,
      0.439172830553739,
      0.275864539986399,
      0.432306058261346,
      0.216623818907334,
      0.335883357962312,
      0.453607355092381,
      0.589416449172041,
      0.345877119215545,
      0.429799297271094,
      0.651522029695012,
      0.733396570492331,
      0.792311111144725,
      0.726063125592518,
      0.422463236833786,
      0.401822674078004,
      0.494035510830887,
      0.422855011917906,
      0.332969953068631,
      0.409416233102496,
      0.495488725406653,
      0.454092389188001,
      0.410236120697897,
      0.540469786371737,
      0.335892456982199,
      0.315835396338587,
      0.338801172289108,
      0.413058287671349,
      0.358477039241444,
      0.392892816548765,
      0.444816784734146,
      0.424807104770592,
      0.545565311811535,
      0.370748861550536,
      0.435038433987384,
      0.365020435445666,
      0.406184098013793,
      0.477126108510221,
      0.384275572348368,
      0.427010164316201,
      0.373053678392652,
      0.424530968251992,
      0.378422282784739,
      0.401531209817024,
      0.355015125571618,
      0.371294237824599,
      0.311102459554817,
      0.415501063701337,
      0.520480740726234,
      0.387517346345149,
      0.511694162474951,
      0.332880700752742,
      0.391735316659984,
      0.554966791662335,
      0.545333570229583,
      0.379673539667782,
      0.416096017365102,
      0.405535607500968,
      0.5045066568857,
      0.39069018514804,
      0.382212337790563,
      0.442878607200847,
      0.432215022627457,
      0.473367184007777,
      0.664485652257132,
      0.656603768041119,
      0.453336610276051,
      0.438521174336893,
      0.402229065588594,
      0.412714423568756,
      0.301672071763677,
      0.327161274738167,
      0.307963848239984,
      0.370096090107262,
      0.355864951153485,
      0.494935457888393,
      0.377655989194958,
      0.315020244575689,
      0.522131596548179,
      0.439981957055796,
      0.448613731990453,
      0.251011297699075,
      0.18021865223568,
      0.102938752459295,
      0.41736303183298,
      0.276784545085425,
      0.315701700360809,
      0.445148928688908,
      0.235705229828725,
      0.507235203888386,
      0.465912322633992,
      0.280776179584932,
      0.369569612839277,
      0.287022238342649,
      0.496021965681083,
      0.381759492920014,
      0.158916792391111,
      0.433667919858166,
      0.200506705974582,
      0.486250386515497,
      0.397271235429291,
      0.424131469450058,
      0.386421672468086,
      0.463849723277875,
      0.250743847773211,
      0.257052349852488,
      0.314075335542107,
      0.330648974309061,
      0.432860875008043,
      0.444270214587235,
      0.330922898890209,
      0.249981272313007,
      0.295067740668936,
      0.700005826118454,
      0.56647427848883,
      0.41206048292869,
      0.427777603753891,
      0.401756766135461,
      0.403720749151854,
      0.414540406209874,
      0.538511488877398,
      0.511115367123768,
      0.474454449553434,
      0.392440290583034,
      0.420428971665829,
      0.489384249853792,
      0.382005756935178,
      0.357749408747802,
      0.492614001162283,
      0.411470795514192,
      0.434330983408482,
      0.488257221262366,
      0.407373476993222,
      0.324007504265223,
      0.605276304673472,
      0.650129648339062,
      0.45315379042771,
      0.449396620641268,
      0.434225723627895,
      0.462098491694785,
      0.41027690422447,
      0.428002788859617,
      0.448901284899167,
      0.573749838713914,
      0.389289860246344,
      0.422493964748742,
      0.354508571798974,
      0.667116110996443,
      0.421203233511625,
      0.330865749446376,
      0.528342528535714,
      0.442367375083043,
      0.332204228304629,
      0.43548913255273,
      0.401643867033132,
      0.472694048665602,
      0.46848811510499,
      0.418159857031986,
      0.48857596287015,
      0.314146782325855,
      0.538394276187852,
      0.514679989522953,
      0.368789475640787,
      0.435658153506586,
      0.326480013341553,
      0.484865957482095,
      0.420645192251015,
      0.341187784528718,
      0.336727523646352,
      0.443684264588641,
      0.469983879500062,
      0.339026186492939,
      0.554886744202173,
      0.38528180978521,
      0.585237724050063,
      0.552789080637235,
      0.503461464473695,
      0.836367466036139,
      0.516868158846424,
      0.821252570149051,
      0.455071261481382,
      0.693801423022534,
      0.467765926131906,
      0.426198902663009,
      0.295601581985207,
      0.290148449965507,
      0.512867933120353,
      0.501022838134171,
      0.398898212911707,
      0.498282451356641,
      0.344827308463147,
      0.551090042385014,
      0.464395069419718,
      0.337984497820192,
      0.862818140790668,
      0.639145456114998,
      0.450269684052527,
      0.505790893869439,
      0.338172812558373,
      0.485154425670682,
      0.401337870324599,
      0.490251448902633,
      0.487836700059773,
      0.416334876250267,
      0.817390878660614,
      0.455985048199452,
      0.387206022811105,
      0.382388961523558,
      0.5323476947638,
      0.307292315960636,
      0.66523174696691,
      0.255696042283421,
      0.321071738537645,
      0.744700214393172,
      0.50281691299507,
      0.588952956361676,
      0.577084370257192,
      0.335586476955003,
      0.415616929472696,
      0.37681049119554,
      0.530229981225258,
      0.296354311452762,
      0.381801443384453,
      0.494256074697829,
      0.516089192508686,
      0.620344373898452,
      0.507154059217369,
      0.560744181938069,
      0.557330674214416,
      0.451874001286259,
      0.477515792337082,
      0.410461298883018,
      0.354050980127153,
      0.350322747640016,
      0.557670437581657,
      0.387420605098105,
      0.361519260446175,
      0.380943201950469,
      0.485548291712252,
      0.403350044798451,
      0.421156468484668,
      0.536485479326373,
      0.402720320386565,
      0.386666904940809,
      0.495129632565901,
      0.429351563260965,
      0.37187452980228,
      0.330202612586289,
      0.425414345108041,
      0.46059318633987,
      0.337761108309068,
      0.616690721429804,
      0.558155272523511,
      0.355581237142954,
      0.58896730932412,
      0.409410861138499,
      0.322955296378368,
      0.704478709048116,
      0.331695229286262,
      0.392663498845056,
      0.374806594861699,
      0.71198983017907,
      0.446054241224996,
      0.262980420917997,
      0.416170806517384,
      0.358559676486664,
      0.439603911396094,
      0.40545716702504,
      0.367274166085199,
      0.489993852730082,
      0.410468544426072,
      0.310362338462648,
      0.427697034323422,
      0.252336018730012,
      0.220157566192535,
      0.355819924326907,
      0.268308829668626,
      0.298403629460441,
      0.248059327533272,
      0.230768373249804,
      0.375703736162482,
      0.409701672764512,
      0.417000714718102,
      0.354590862237715,
      0.345915386617901,
      0.353994295844815,
      0.369020315889013,
      0.290634925612921,
      0.223800211028788,
      0.624889849502753,
      0.396313446125191,
      0.49078525364844,
      0.65894840577932,
      0.450625025280127,
      0.301578795646075,
      0.208591430552031,
      0.606957161661579,
      0.322629377814922,
      0.451469363287794,
      0.509918392417488,
      0.314155804354476,
      0.420371586884044,
      0.376771973233502,
      0.365821387654913,
      0.466635277891025,
      0.46605966590408,
      0.477000065948995,
      0.664993799096428,
      0.75423343799963,
      0.476973884988,
      0.435411754060783,
      0.470184691230908,
      0.477968492758795,
      0.355159021720004,
      0.452447106694562,
      0.38671754982575,
      0.453996094754022,
      0.381800601083149,
      0.378439577673507,
      0.678501930420978,
      0.385692862374395,
      0.840456714791681,
      0.431514670014929,
      0.408969929660637,
      0.442260022030485,
      0.353311084257662,
      0.529271871539667,
      0.35424888919988,
      0.368083018669877,
      0.40978477405415,
      0.451902617596006,
      0.745987164055048,
      0.557429150967772,
      0.411463509123268,
      0.388844727329123,
      0.759182600735785,
      0.48027731208472,
      0.422711489062605,
      0.49203914887059,
      0.425254194447072,
      0.312749581048728,
      0.319886844004684,
      0.427726613415837,
      0.426526183319709,
      0.381177558616429,
      0.625354989422318,
      0.506838296500248,
      0.364564327109934,
      0.552225085028963,
      0.382225302013658,
      0.360101930542334,
      0.602742085271286,
      0.34431399210333,
      0.568418651547187,
      0.660363620338141,
      0.413838981734912,
      0.531622301544606,
      0.666873691258556,
      0.564833917273087,
      0.421931194812107,
      0.474002489505806,
      0.578090493286405,
      0.632299331360939,
      0.54920014689384,
      0.358404334409879,
      0.51639293381924,
      0.693771461417347,
      0.344298665711103,
      0.558249821486842,
      0.683874878122723,
      0.798521458124449,
      0.521212616431999,
      0.366754785873975,
      0.530346856301662,
      0.529664606959489,
      0.4862840307188,
      0.403586897862499,
      0.448226465960075,
      0.272931347853385,
      0.567144894997862,
      0.449682612766213,
      0.290135987458844,
      0.545859376470587,
      0.535068312928416,
      0.487486979927807,
      0.353734555612512,
      0.2707390222078,
      0.509122519851531,
      0.783812307955066,
      0.487666588522492,
      0.302520359391872,
      0.438458682595005,
      0.329828143354415,
      0.366108653463133,
      0.283830740653422,
      0.317946881352498,
      0,
      0.217364734594018,
      0.163862707543212,
      0.473194536777591,
      0.14219111130051,
      0.289815682347028,
      0.175731026397651,
      0.467694719580884,
      0.0811940922731826,
      0.0225429129714094,
      0.467075264527607,
      0.275761728753026,
      0.256849800743072,
      0.0201995629786108,
      0.163994346894176,
      0.286107858146281,
      0.550093727142782,
      0.624994129014289,
      0.267866959537957,
      0.0352946094945066,
      0.0257615669931064,
      0,
      0.142170760096837,
      0.307671179018487,
      0.398117728685091,
      0.283196856445881,
      0.34466782830249,
      0.666981023275374,
      0.152743970235243,
      0.105722957614634,
      0.221311396077782,
      0.243833026770421,
      0.499666011189722,
      0.0599696823730149,
      0.641892250847648,
      0.225842939430276,
      0.048225519259553,
      0.428319728166269,
      0.103462453131979,
      0.025615270965428,
      0,
      0.124702308816639,
      0.219565237736626,
      0.301923073836108,
      0.447570240953659,
      0.259784389757881,
      0.184341487301448,
      0.368103001682343,
      0.371291025438851,
      0.195132760076449,
      0.181208408577599,
      0.495519388569454,
      0.537763299821503,
      0.215836099150705,
      0.314266747308113,
      0.185489676075913,
      0.329420098711386,
      0.32914065533699,
      0.276339013311391,
      0.318020737318012,
      0.267021363471481,
      0.415756565494362,
      0.333785103000546,
      0.495980538880461,
      0.312153660914762,
      0.436770170352682,
      0.479578833862202,
      0.504707066405134,
      0.657766751067869,
      0.494110184527722,
      0.305826540267429,
      0.266910977173561,
      0.248655600628161,
      0.282773575250777,
      0.34047618431866,
      0.32258068477025,
      0.200276068128022,
      0.478475879174959,
      0.5848294022173,
      0.137097472033652,
      0.423148098119042,
      0.166613080218993,
      0.244049029300569,
      0.0213620269197905,
      0.203671645606876,
      0.408495091969302,
      0.513769073264405,
      0.414076851624191,
      0.259354020210878,
      0.156838687279244,
      0.520695199894823,
      0.507552628819254,
      0.842367192642868,
      0.614150433765073,
      0.560053193065593,
      0.396942353993084,
      0.32074964662808,
      0.470778622681458,
      0.363560230012579,
      0.156157447101397,
      0.4508254186744,
      0.137835151430478,
      0.312656761648121,
      0.196015742296915,
      0.204975062727743,
      0.480481496730167,
      0.218104341567125,
      0.326728836435548,
      0.166364212015105,
      0.237712807639343,
      0.520360642571546,
      0.354237089890034,
      0.303360670352841,
      0.332627892154073,
      0.406670224195179,
      0.445183223606195,
      0.540650472710922,
      0.487101071587809,
      0.416276785981738,
      0.323002890573497,
      0.471793321071106,
      0.428286888208165,
      0.314981981196238,
      0.403458790981081,
      0.424162865052827,
      0.449630460614243,
      0.453521642564619,
      0.388778635091029,
      0.307054995411559,
      0.29638520707209,
      0.327431616169203,
      0.3917015822911,
      0.381622266122027,
      0.50572533201723,
      0.455013898501291,
      0.526311548081853,
      0.507173102221494,
      0.464219116712997,
      0.385377390051086,
      0.372704068798168,
      0.658005569638285,
      0.458505077283464,
      0.451984695399318,
      0.41354682865251,
      0.368058362995197,
      0.429613094713277,
      0.321140255588058,
      0.458529460885646,
      0.318212208411476,
      0.330384981798093,
      0.335189886993586,
      0.380328917952259,
      0.59895818254444,
      0.501455545687842,
      0.601528880685943,
      0.258171881994318,
      0.391254775336848,
      0.53530308987166,
      0.525666241065668,
      0.458424990871643,
      0.477318744413522,
      0.569855413929129,
      0.605760974250005,
      0.376915070682294,
      0.419443719431157,
      0.458086405531343,
      0.382712024079641,
      0.643252763464762,
      0.630179689174377,
      0.473624811191863,
      0.389547465231525,
      0.371333029255022,
      0.379530601443073,
      0.381480934018038,
      0.309646267867392,
      0.283724733547273,
      0.304468607438604,
      0.439792799141618,
      0.335736922507982,
      0.475898084909583,
      0.278611482888475,
      0.328517710180884,
      0.537554015557546,
      0.346050839954627,
      0.463931264769048,
      0.247923128533557,
      0.283848671131161,
      0.172375888134261,
      0.415019887196403,
      0.225037878799499,
      0.406671759929298,
      0.586861526641882,
      0.222352585978518,
      0.412824460501118,
      0.446492401518004,
      0.225257490596513,
      0.427456020106455,
      0.268596944506687,
      0.506150287302869,
      0.308255820407342,
      0.201808700319508,
      0.523227813252592,
      0.440018407328325,
      0.473776605966217,
      0.410335122110687,
      0.433021656357545,
      0.36744162951732,
      0.463986859183726,
      0.468279814157414,
      0.275494699469645,
      0.341034339434765,
      0.315807060505278,
      0.373041030114652,
      0.576620627964643,
      0.42473187724839,
      0.324840868012863,
      0.342412220030875,
      0.552005325778552,
      0.466448404225238,
      0.425323485992499,
      0.275485668139099,
      0.283773269473596,
      0.560650663813497,
      0.379242605587585,
      0.462051399199544,
      0.550002823003078,
      0.431524278547632,
      0.344610308642272,
      0.336179562488506,
      0.432891184280118,
      0.361452932045144,
      0.35498123407664,
      0.542864412003454,
      0.435019157901942,
      0.473547403528515,
      0.394648150744972,
      0.365856896675,
      0.320820728713849,
      0.375316771052478,
      0.496068592587237,
      0.460562607783734,
      0.342853478884022,
      0.420813706351454,
      0.386042658822725,
      0.394087131716816,
      0.441880044253082,
      0.373621367764736,
      0.639890436671882,
      0.278293229989802,
      0.445645614734491,
      0.37955542133869,
      0.694197803371031,
      0.552625798073328,
      0.32688977930413,
      0.46101965768788,
      0.395705780590912,
      0.326234179509423,
      0.509267319670816,
      0.458192124650353,
      0.447024992533095,
      0.435391299213532,
      0.469006220603686,
      0.443686971755587,
      0.314007910569237,
      0.495189516499125,
      0.421538031733147,
      0.312948208465916,
      0.480696225775135,
      0.302620099534792,
      0.481365534990155,
      0.408350178000037,
      0.383688928881338,
      0.339009471154425,
      0.423272352826537,
      0.420141019614991,
      0.372836758595401,
      0.436240531516508,
      0.459778690942884,
      0.633641219927083,
      0.55691977637099,
      0.538814139978033,
      0.609118137110829,
      0.527824844155194,
      0.699608896078008,
      0.485195002078248,
      0.745601881866726,
      0.527001654060041,
      0.327172134902216,
      0.252124305570269,
      0.280907587441459,
      0.404274525988131,
      0.531400539613684,
      0.386453651337829,
      0.377230355540404,
      0.581703238794539,
      0.484862285626912,
      0.448669370474681,
      0.36167657962691,
      0.771273557203043,
      0.607187025652953,
      0.299107176633989,
      0.502036133407336,
      0.273395622339688,
      0.398831150300775,
      0.448226726382647,
      0.517252635350096,
      0.478646513561024,
      0.456287613265529,
      0.615566772958317,
      0.452177760044971,
      0.400933637987086,
      0.434527805334964,
      0.460748600645524,
      0.345543845270552,
      0.362356444745595,
      0.285810232305766,
      0.278913633587642,
      0.784934796315349,
      0.513024755567264,
      0.631007566361199,
      0.60072161031703,
      0.338614952126399,
      0.360207550604799,
      0.397380469109598,
      0.537457575344878,
      0.285705231345181,
      0.350904784407911,
      0.536671055461991,
      0.368330233862808,
      0.333662380965238,
      0.523884296278349,
      0.70368769630907,
      0.641957340954208,
      0.506591687892421,
      0.609393832176196,
      0.383913410725769,
      0.424116311041648,
      0.379765567458127,
      0.536504437682057,
      0.383078850939972,
      0.366216787144722,
      0.450941685623545,
      0.328967906446047,
      0.35269673248196,
      0.386516107924706,
      0.442172774383058,
      0.454298414046624,
      0.362904859534794,
      0.451566827250266,
      0.39770406805637,
      0.407536591336463,
      0.494454599635556,
      0.372117372924093,
      0.466118291244786,
      0.359541228317436,
      0.575744142230748,
      0.43746647239602,
      0.411181593787897,
      0.597479735213896,
      0.375577648556652,
      0.333691901227399,
      0.688792515612576,
      0.314502561838874,
      0.512517873694876,
      0.358604422243543,
      0.696494060479216,
      0.361738610512539,
      0.328154424147737,
      0.302620001417135,
      0.365808556170246,
      0.390504312542359,
      0.376341677858948,
      0.348071242372311,
      0.469170242498958,
      0.530196146617696,
      0.25622730815195,
      0.487401632615963,
      0.193915464906477,
      0.219674983575694,
      0.348837189283663,
      0.282674140634242,
      0.306130357226203,
      0.285410691790052,
      0.201202461006639,
      0.483953195363657,
      0.388821819521154,
      0.63848965416758,
      0.320219963448515,
      0.318666859250412,
      0.433705816198976,
      0.35205503739738,
      0.279075512474533,
      0.209034984290726,
      0.405184500258942,
      0.400867448826087,
      0.566749403355955,
      0.497330776406654,
      0.394578710544524,
      0.417165014973395,
      0.241379208485101,
      0.52299094817994,
      0.30928134178568,
      0.551658018510632,
      0.292022612562788,
      0.227364954233883,
      0.479125614448473,
      0.38092845243688,
      0.387732324007058,
      0.508374379885045,
      0.39842304930915,
      0.495798680221285,
      0.587465980779512,
      0.493265147399006,
      0.426600359914752,
      0.371949626912862,
      0.535629633774094,
      0.446075277193606,
      0.247898910121929,
      0.446064025762839,
      0.365881098687352,
      0.498637046511926,
      0.397876822009915,
      0.572167707421543,
      0.668426560171518,
      0.379493213610787,
      0.77128042448842,
      0.516041455500766,
      0.337774313035794,
      0.585058267385055,
      0.421452936173676,
      0.467295442461645,
      0.422992930657395,
      0.403501535660011,
      0.52822859135345,
      0.576266483565813,
      0.460478956279286,
      0.547133414900168,
      0.380402702422117,
      0.392012090512436,
      0.746387905319113,
      0.44849304188388,
      0.433022578924879,
      0.51643201329443,
      0.589438896566164,
      0.411690104241189,
      0.366641532715551,
      0.388969439214948,
      0.423104709037616,
      0.405667113800966,
      0.406018890921982,
      0.368851226844735,
      0.351146820117099,
      0.598729626095804,
      0.439821885474501,
      0.316150380059977,
      0.599927166051108,
      0.373915148455615,
      0.505458598023026,
      0.619045231589366,
      0.593180797756057,
      0.549915603283368,
      0.744573060942119,
      0.632586366444535,
      0.569575776937839,
      0.569672689203902,
      0.57698346945055,
      0.488543120562256,
      0.481079379700868,
      0.665113627159739,
      0.493045587702254,
      0.682957216873991,
      0.346433884252916,
      0.502318886047822,
      0.653365335919408,
      0.72455275090126,
      0.488837677913242,
      0.275330506932753,
      0.373006234210475,
      0.541507299713107,
      0.474330617483149,
      0.464619746444211,
      0.366980737615191,
      0.471987200221502,
      0.498659671937986,
      0.386127596773269,
      0.287473124561755,
      0.55294082872389,
      0.357204926588405,
      0.481363832446565,
      0.327855853304172,
      0.241497651881079,
      0.773580948228199,
      0.499769803531975,
      0.500805492719379,
      0.29985268146005,
      0.309854975998855,
      0.30870797801089,
      0.311957482102598,
      0.254131596013229,
      0.362005759605151,
      0,
      0.206335718228037,
      0.512592656844927,
      0.567840152935556,
      0.360709455430475,
      0.398735195313435,
      0.181048547365256,
      0.326499395268572,
      0.210057540074856,
      0.167344333753226,
      0.479952095946124,
      0.325473088242045,
      0.341852507846781,
      0.0589720935469053,
      0.203965154803593,
      0.306925443057627,
      0.509234680724267,
      0.548373102030367,
      0.294299608016991,
      0.0687226456203583,
      0.0846866076581497,
      0,
      0.0946578504382156,
      0.23083762865302,
      0.338698776846133,
      0.197406710868991,
      0.649493641423141,
      0.722488287196612,
      0.502696002180717,
      0.381193351507407,
      0.33116929755182,
      0.305029406013681,
      0.424104229366529,
      0.13675687503742,
      0.42450586266376,
      0.410107551744778,
      0.474401357229658,
      0.535540267777861,
      0.308984324420548,
      0.132132111193704,
      0,
      0.153364368490133,
      0.216888281847086,
      0.422922479775502,
      0.648273316465017,
      0.325229563754598,
      0.184363809556999,
      0.41487647912933,
      0.470299522716646,
      0.17195855279078,
      0.18841395252988,
      0.357467535146216,
      0.523574748605223,
      0.224796193811054,
      0.321402670804941,
      0.253269912907367,
      0.349271327125749,
      0.384644245784583,
      0.397460822061904,
      0.420341739738751,
      0.458510322973558,
      0.448406689898961,
      0.591511140409487,
      0.537729633693732,
      0.357794200434461,
      0.452809434731497,
      0.850077017519897,
      0.535795026306987,
      0.838956366976149,
      0.427094100933756,
      0.370586324977464,
      0.31175544364792,
      0.223511839973269,
      0.303626899991734,
      0.359819117905999,
      0.392641769085347,
      0.167587862917881,
      0.79161215520204,
      0.648112281988687,
      0.139106310414473,
      0.495692262044534,
      0.45948853808517,
      0.2590420827523,
      0.0580197937207021,
      0.274443806926809,
      0.410807286894315,
      0.358321051809614,
      0.369306581614043,
      0.537490692223931,
      0.25754329765147,
      0.576920957998999,
      0.519880323665543,
      0.615935776112409,
      0.625809545557467,
      0.777354476368023,
      0.426359551039752,
      0.316384442013906,
      0.514778734678853,
      0.437780849952877,
      0.356969016771268,
      0.521109852696884,
      0.159570551560031,
      0.286827019186231,
      0.183758896667461,
      0.24854158498433,
      0.49254605792014,
      0.27886962536396,
      0.372904010858898,
      0.195787770131905,
      0.313877096155397,
      0.545024012062655,
      0.262414491121624,
      0.615603930404029,
      0.429328973898398,
      0.505547271859493,
      0.454123637007299,
      0.552416978437967,
      0.590302458146177,
      0.492623700460079,
      0.378192559875599,
      0.455200669152239,
      0.579091320729443,
      0.50980250965184,
      0.459167516512203,
      0.602087282344539,
      0.493316662270379,
      0.544461577017522,
      0.454356496296571,
      0.40302429108741,
      0.309519711581251,
      0.410198057615077,
      0.505991768373792,
      0.617596906140706,
      0.640080887006847,
      0.601693739481441,
      0.602957732740428,
      0.595508464275741,
      0.676988525872406,
      0.34211238030406,
      0.607010534537464,
      0.802877257323,
      0.509296145116655,
      0.531856555976824,
      0.468901958133396,
      0.55193868671058,
      0.533754804459572,
      0.318311374039253,
      0.639015795126668,
      0.615699871157282,
      0.53577025804125,
      0.457373303435575,
      0.387318123180751,
      0.506761239466584,
      0.655782071378427,
      0.635515425089353,
      0.395754112745013,
      0.351802769299762,
      0.620843923783913,
      0.596717558512618,
      0.621961347810564,
      0.642143184881206,
      0.697867601390815,
      0.636336747856513,
      0.400524488248681,
      0.631901232977633,
      0.431217036161224,
      0.54337694026093,
      0.707236073190276,
      0.617239636462401,
      0.582947976561729,
      0.430847418064091,
      0.452557252975853,
      0.361082396077039,
      0.448364491075944,
      0.339075942666708,
      0.590983033317953,
      0.308355182896812,
      0.678640440205571,
      0.713506071252138,
      0.379762247485113,
      0.207581375357344,
      0.316288112979899,
      0.388664265927879,
      0.375284487158648,
      0.520013887123364,
      0.45064181670458,
      0.337593881158357,
      0.177792083645626,
      0.41494443650972,
      0.207347163962993,
      0.637989604668141,
      0.599746212453392,
      0.244763948219794,
      0.359338402330491,
      0.496162308585055,
      0.364455343758555,
      0.578172352204208,
      0.254120319814342,
      0.614244028297256,
      0.355745179963175,
      0.248794653013767,
      0.639019409621096,
      0.555450148956653,
      0.472035173777993,
      0.384010797663734,
      0.487905792907835,
      0.41347058870085,
      0.505378058170403,
      0.59813240455605,
      0.308940651803062,
      0.347212832650312,
      0.433477380294971,
      0.538555099544132,
      0.692907379363006,
      0.427239249966821,
      0.453395594704667,
      0.41936731184138,
      0.607725346858326,
      0.410236562937075,
      0.438475256204076,
      0.395829331046567,
      0.32203647722944,
      0.67471524110173,
      0.408872413384885,
      0.607683867242463,
      0.443658664054777,
      0.715234171421444,
      0.678413274441372,
      0.504559859164418,
      0.463622529719069,
      0.600318087082261,
      0.576688991027224,
      0.552877114154216,
      0.356941908036347,
      0.508581790493019,
      0.444178144167222,
      0.424459990266307,
      0.390830937563583,
      0.487974623001509,
      0.442907586192325,
      0.449231608119166,
      0.317137625535052,
      0.371521154683838,
      0.344593627141785,
      0.410809875703986,
      0.685199176582641,
      0.340058093273496,
      0.463301733977588,
      0.515147033586311,
      0.488972284128183,
      0.667373312930128,
      0.596023585905952,
      0.653947625789999,
      0.395113723189709,
      0.526932980750379,
      0.595017874378496,
      0.374858102392103,
      0.586743264444765,
      0.668697804562623,
      0.421057819559546,
      0.5535837503687,
      0.558449709732038,
      0.402877631318757,
      0.325096923747979,
      0.508030854228374,
      0.464044389995772,
      0.417064109848406,
      0.475167861707013,
      0.5864635107613,
      0.458494196442031,
      0.463397757580992,
      0.67225069555018,
      0.389914006732746,
      0.656416190949598,
      0.450166356411073,
      0.463950933484912,
      0.489097781054917,
      0.503848701468483,
      0.740388824034145,
      0.597549774230963,
      0.860372419687236,
      0.738441733933785,
      0.801880603892264,
      0.702250156681639,
      0.639421910251163,
      0.675966976594938,
      0.691266278687304,
      0.444852016132439,
      0.308886453098679,
      0.418234689894156,
      0.459222698344826,
      0.564150415985735,
      0.478339579685312,
      0.328658490110055,
      0.640429159853555,
      0.477079681338671,
      0.456053032737829,
      0.361081312525398,
      0.650762654465255,
      0.668113502691256,
      0.438541078260271,
      0.500159590469343,
      0.404230569768959,
      0.465438727735329,
      0.445884357277073,
      0.508142067710961,
      0.532145661242679,
      0.774024924421425,
      0.444272536081671,
      0.760604281548654,
      0.46300095006506,
      0.528503087564685,
      0.439940667271938,
      0.462560882453866,
      0.399311598641057,
      0.273804904963946,
      0.265523699882697,
      0.72646725806625,
      0.737597024560828,
      0.50125034896708,
      0.559979776135744,
      0.290350821621686,
      0.35370488569255,
      0.56327773904614,
      0.521831859611103,
      0.545334437171631,
      0.334438171913721,
      0.581435049855651,
      0.57432833417852,
      0.373125479645924,
      0.521572842256701,
      0.739322481830261,
      0.637152116761685,
      0.552213336295956,
      0.710985964207547,
      0.589734047825944,
      0.558731345316033,
      0.442339504627437,
      0.714241744596878,
      0.46624783020759,
      0.565429422504586,
      0.535392466053298,
      0.4713863865657,
      0.508334415514334,
      0.605383544751846,
      0.579812404641503,
      0.611177512789517,
      0.520646056653838,
      0.577849100231913,
      0.608455010281238,
      0.552663296723205,
      0.658309200876276,
      0.484305630706476,
      0.45462549014522,
      0.581254438739986,
      0.607489584142475,
      0.516501089107332,
      0.701662153649069,
      0.576298974368252,
      0.44959501748565,
      0.489570845273966,
      0.663641737196076,
      0.611085420320876,
      0.596014688031507,
      0.580922980502682,
      0.665287161513884,
      0.44896378075838,
      0.512507195573776,
      0.470668223313597,
      0.517553474975109,
      0.461150545093167,
      0.496546880568286,
      0.45761465652089,
      0.532777450682305,
      0.505542523805487,
      0.595560048697267,
      0.53866179403865,
      0.286028797115122,
      0.276895202924386,
      0.394059817511323,
      0.25708937452094,
      0.36812594985983,
      0.424219460016268,
      0.22243869717718,
      0.534083896826308,
      0.571892880342305,
      0.616485990913837,
      0.346912537990958,
      0.5662869269415,
      0.533926957864594,
      0.341886632176473,
      0.398793936777472,
      0.236013864171133,
      0.43648800555175,
      0.425108880047618,
      0.663723057444928,
      0.49004080654601,
      0.548877572088367,
      0.436141638638732,
      0.237025892959125,
      0.544356320115304,
      0.290735683321642,
      0.653827362637709,
      0.241443126550091,
      0.209150363203461,
      0.555522580572963,
      0.391038294954893,
      0.403409993483359,
      0.630008793711588,
      0.367174052653908,
      0.525953507393477,
      0.59113617446252,
      0.540097100997653,
      0.554217654998507,
      0.420616225724103,
      0.734307590314174,
      0.617844776180733,
      0.517810387948234,
      0.549127739069531,
      0.402075413863579,
      0.566516850054003,
      0.563254883898699,
      0.607391164547162,
      0.487947610838894,
      0.438340807436693,
      0.61734309698587,
      0.619499169452698,
      0.587804164188705,
      0.716312663642484,
      0.60677445629806,
      0.568432052283219,
      0.540652074879778,
      0.546520410374757,
      0.566561171279567,
      0.756700627317589,
      0.572680815687665,
      0.522206100616872,
      0.467104428163871,
      0.488425556875253,
      0.52486798933338,
      0.525720389793639,
      0.460600225725465,
      0.592994079782262,
      0.621460521446401,
      0.596858617302508,
      0.499404800997834,
      0.438647114945951,
      0.434789779622557,
      0.600983053044895,
      0.578515348886467,
      0.393966990902018,
      0.386306816308597,
      0.591452732399436,
      0.543012599458768,
      0.58868740913855,
      0.58944016288024,
      0.605211089235791,
      0.525969988610597,
      0.584575748699907,
      0.709785854186383,
      0.584921477073497,
      0.714605120616278,
      0.810329680276428,
      0.714354685649569,
      0.519000154852247,
      0.548823397102014,
      0.565999848418622,
      0.454419045851986,
      0.698124773847489,
      0.548091866791352,
      0.621492233851205,
      0.36771111691317,
      0.549799716951579,
      0.626315228005844,
      0.626532633071458,
      0.547738940479178,
      0.407942635080867,
      0.40525127984893,
      0.531848942413846,
      0.541889105696015,
      0.692156167020547,
      0.419672681074634,
      0.580997205495532,
      0.534125839109447,
      0.377033072680573,
      0.344546357975607,
      0.498166145986499,
      0.632265765669524,
      0.479089145648926,
      0.375814748138529,
      0.271735245266731,
      0.770098936347215,
      0.344092611900357,
      0.53866808989104,
      0.372610735235922,
      0.38575752755804,
      0.38254239074137,
      0.418614543385905,
      0.266632614787356,
      0.354522621747427,
      0,
      0.375040584459955,
      0.593529412025673,
      0.51162785860759,
      0.402955678859239,
      0.431398623743936,
      0.205012441658828,
      0.368852074552886,
      0.165968674807756,
      0.208124439594674,
      0.352740433066014,
      0.361912764939527,
      0.301401703229145,
      0.0441356266394055,
      0.23389840651462,
      0.326546381126775,
      0.274144351909477,
      0.482687872802643,
      0.278400312188865,
      0,
      0.123723154670088,
      0.120023751406159,
      0.131899730176815,
      0.163136201007926,
      0.367423752532266,
      0.190674457077116,
      0.645454460623994,
      0.68452977331914,
      0.591062549503484,
      0.465085016452133,
      0.386822075484223,
      0.348492060764714,
      0.30382144924563,
      0.205935305927164,
      0.411435089730142,
      0.404452080414325,
      0.559179490613001,
      0.589072864932458,
      0.397102836432541,
      0.220695861824428,
      0.0269268034196757,
      0.18925331367544,
      0.225242017009688,
      0.470724724280245,
      0.693257572511638,
      0.386101535514947,
      0.194406886562013,
      0.5759549498961,
      0.476775902134766,
      0.319308056466302,
      0.422797813482776,
      0.492954263296488,
      0.581657157795913,
      0.243226558269996,
      0.327928016161077,
      0.288373803300881,
      0.368523347533258,
      0.375362332398792,
      0.410522426804993,
      0.454949064081,
      0.487172946901336,
      0.459616833854711,
      0.587851614699531,
      0.542721754433542,
      0.42029418975196,
      0.578516360121271,
      0.79506400863868,
      0.589434548547532,
      0.815691031143191,
      0.432840119340615,
      0.367587983748725,
      0.44202865064455,
      0.285368866405167,
      0.436292890840731,
      0.350660415181181,
      0.363602402768721,
      0.240072415986492,
      0.770354177598038,
      0.476008553790068,
      0.262138621829227,
      0.499053266827064,
      0.462579194900456,
      0.315337043131897,
      0.0204617560660742,
      0.368400915873424,
      0.486577679722419,
      0.36851664906015,
      0.439410762448296,
      0.647558447674962,
      0.312671852762839,
      0.562748334910043,
      0.522609561834853,
      0.576214989363262,
      0.663669132789121,
      0.745507280371938,
      0.518298622974562,
      0.300975827790895,
      0.441701063656917,
      0.515814023316386,
      0.385380082326531,
      0.552964412584237,
      0.212891614147683,
      0.330897676330857,
      0.17745820871491,
      0.314397840810297,
      0.557209420374473,
      0.466309396241418,
      0.401551279355292,
      0.369625138667535,
      0.392501694610486,
      0.565845408618116,
      0.370189071798438,
      0.667129234032861,
      0.619945947481904,
      0.500038348656749,
      0.50743321677039,
      0.595089485752453,
      0.576025106252424,
      0.525638943023594,
      0.436880240348817,
      0.578742498380792,
      0.662929231145238,
      0.516661495553349,
      0.595764498848817,
      0.719262137657059,
      0.545930430604307,
      0.545017689959908,
      0.607650158959681,
      0.590137214384045,
      0.468789448953527,
      0.57681152922043,
      0.62102475157568,
      0.616894119056093,
      0.644217019028889,
      0.609367509776842,
      0.596436727450172,
      0.58897410827927,
      0.694616408299936,
      0.414590873912289,
      0.596153874640049,
      0.728083062217762,
      0.499545245559271,
      0.619426172128049,
      0.581298002218035,
      0.563067089243462,
      0.726191283850147,
      0.359254401769478,
      0.66878775753352,
      0.684411472547397,
      0.586920728967552,
      0.541947797499024,
      0.533299584567114,
      0.55817920179018,
      0.705439378529086,
      0.715967466994351,
      0.543683966136974,
      0.385205894961652,
      0.617136143136036,
      0.715279932672065,
      0.695661511062215,
      0.608321250684411,
      0.681042469869933,
      0.568903669201396,
      0.445376973760905,
      0.643187418235348,
      0.695613745087995,
      0.60424998561155,
      0.622776246629901,
      0.595550360037028,
      0.627340025578883,
      0.462087815302881,
      0.663698617226447,
      0.333966755151997,
      0.469094704881998,
      0.392294213212581,
      0.606867166577585,
      0.250292719007469,
      0.77273883931365,
      0.760845490437714,
      0.342370766840746,
      0.260055946240468,
      0.242084537340596,
      0.491919349774049,
      0.431828164657181,
      0.658044732126728,
      0.395037838925806,
      0.297662270524859,
      0.127207107874545,
      0.466659612756933,
      0.279032796552651,
      0.575956825246529,
      0.453825010739832,
      0.33529079803241,
      0.39006903901799,
      0.654079500518649,
      0.548660505732721,
      0.58762410688917,
      0.272962169411338,
      0.697373425575681,
      0.436258872778173,
      0.306780705677746,
      0.580674358743994,
      0.47994729828737,
      0.480110625389663,
      0.403178042544001,
      0.518153234553489,
      0.445133863800035,
      0.432931404614924,
      0.503928779587985,
      0.290309367348549,
      0.420302741291216,
      0.449529808313079,
      0.497100723293337,
      0.66948064952096,
      0.454574491056936,
      0.678655815194045,
      0.428258701528893,
      0.572256973869084,
      0.29437649626718,
      0.465728569737261,
      0.402084735141899,
      0.250151912138535,
      0.73325240496264,
      0.507240000378911,
      0.633279356032419,
      0.421999113415696,
      0.691147500481238,
      0.735700342776789,
      0.603676119939181,
      0.556151913076028,
      0.698902073865207,
      0.71093141573323,
      0.587463330884566,
      0.415333072064169,
      0.615917460549531,
      0.630193344776621,
      0.539212941607882,
      0.521457216539426,
      0.58176159486906,
      0.537068716488907,
      0.487240084969194,
      0.351109220179702,
      0.417994487131643,
      0.372162938758879,
      0.616472922693249,
      0.764317508943983,
      0.365417088842334,
      0.430809178043535,
      0.568931791663684,
      0.617380061569776,
      0.753485700701529,
      0.495026810055295,
      0.594038392769094,
      0.438842159790197,
      0.595462014912548,
      0.648698009463637,
      0.528466197339338,
      0.615628944009178,
      0.75379716283788,
      0.546021687150529,
      0.664655068608308,
      0.679785104107225,
      0.523320750525916,
      0.371650099926667,
      0.638269331238738,
      0.633204972534674,
      0.5456744285396,
      0.482338303966246,
      0.665019976228538,
      0.521299474283409,
      0.520771258245863,
      0.685375635040298,
      0.433060421064479,
      0.669647995020257,
      0.507793391437849,
      0.63139570075591,
      0.559224547632449,
      0.438424272533532,
      0.745220654257653,
      0.568988444776755,
      0.806775047258413,
      0.744958352056703,
      0.792616233086186,
      0.71707421890993,
      0.722180259206467,
      0.575940299417421,
      0.644630922096147,
      0.482054208813547,
      0.361370319612655,
      0.444595792193332,
      0.504809436061272,
      0.519080114920266,
      0.463067032745151,
      0.27235456119142,
      0.527690002595534,
      0.54378138964912,
      0.472214953605514,
      0.415436705234691,
      0.60306045553873,
      0.673352764213399,
      0.432455415689072,
      0.575248774219257,
      0.506243365534143,
      0.47663018742321,
      0.601976933959949,
      0.473226454147761,
      0.692952571009296,
      0.782640796815522,
      0.42431320681199,
      0.755167584342538,
      0.57021989120408,
      0.535078368186396,
      0.437574305827832,
      0.506362715371769,
      0.370081500581231,
      0.253595951160342,
      0.334249098923093,
      0.525709729709389,
      0.768388447163918,
      0.425872983832238,
      0.457513836367097,
      0.346258722338854,
      0.541062783371258,
      0.762354512621763,
      0.552310322040669,
      0.691760901955265,
      0.402372609353033,
      0.739283085580772,
      0.575347271081686,
      0.378251929873772,
      0.57048206579882,
      0.65075602760266,
      0.642678407466064,
      0.644308066454224,
      0.761760093733814,
      0.627738222602686,
      0.557292475574414,
      0.592072027843665,
      0.763239492154752,
      0.613887854919169,
      0.616052713242272,
      0.554049169812009,
      0.567967999561796,
      0.671480919292146,
      0.652199851127907,
      0.623778464739775,
      0.645609948761157,
      0.596134740757975,
      0.663685944157123,
      0.589701748884875,
      0.532240949243328,
      0.656581871121624,
      0.639264764801279,
      0.491757181191279,
      0.624286906085304,
      0.64366760738622,
      0.499776504863798,
      0.697551064566274,
      0.525645269588582,
      0.430114753967043,
      0.625087293319931,
      0.63901437883394,
      0.598557611864745,
      0.604543532447772,
      0.693621872696471,
      0.667119797075375,
      0.572835011755893,
      0.680583512630315,
      0.540382681745686,
      0.634634198789365,
      0.62927827818833,
      0.527265762137745,
      0.571798046821133,
      0.539619950213839,
      0.497516585553016,
      0.646604036739902,
      0.531491211896665,
      0.294672855443255,
      0.334558168895191,
      0.435476286089511,
      0.330353014436226,
      0.398127437550872,
      0.682941639593157,
      0.243580219330108,
      0.531888058297922,
      0.629797455636352,
      0.381912268659541,
      0.483978689543854,
      0.672263179668748,
      0.519954745942881,
      0.402919708601031,
      0.428002122141937,
      0.337783044238796,
      0.541444638525841,
      0.371741760580933,
      0.693898145461168,
      0.455247077608653,
      0.616150046716527,
      0.379594765943312,
      0.253414002115726,
      0.599969137486853,
      0.459981115909985,
      0.736803006365251,
      0.324785344064264,
      0.284117644179907,
      0.615192629766689,
      0.420341030844129,
      0.446850943527308,
      0.824692193118655,
      0.395960014756877,
      0.501216235832499,
      0.570614548360079,
      0.629419910127436,
      0.551873864747953,
      0.468197982921276,
      0.79480714361536,
      0.633450171270852,
      0.566710181087797,
      0.607532519361907,
      0.538334694198536,
      0.534966042399614,
      0.638273751810532,
      0.650715444699803,
      0.597067382319492,
      0.614210858584438,
      0.550415482692223,
      0.704670211571936,
      0.661903125273943,
      0.647252555238969,
      0.796349762827796,
      0.585112280815873,
      0.598505528140274,
      0.543353215605657,
      0.510308704892957,
      0.659098218448567,
      0.556335696342766,
      0.559738849662249,
      0.654421223547155,
      0.623052359469905,
      0.597900721883892,
      0.58214706726463,
      0.46837512843721,
      0.655349411355087,
      0.67631073899916,
      0.609382526588101,
      0.571859880665326,
      0.569935696296802,
      0.533560268807279,
      0.656541152965508,
      0.591358704796284,
      0.55681928541862,
      0.441795598506716,
      0.5870489052186,
      0.668575725366064,
      0.59494851388181,
      0.597903328359117,
      0.691062295094099,
      0.601718258653515,
      0.618335561801805,
      0.791603511419088,
      0.598874775834065,
      0.594061943275912,
      0.722750770515167,
      0.623141786879013,
      0.591619834286165,
      0.752333516532258,
      0.594522296249122,
      0.565984866546511,
      0.612498664032547,
      0.621717430957961,
      0.643883460659225,
      0.442286205618102,
      0.57064122344513,
      0.696332944193447,
      0.627959837003958,
      0.586429354453656,
      0.535255862122716,
      0.581112116490671,
      0.638150324630672,
      0.673990295142115,
      0.712310197436895,
      0.588056051902108,
      0.519744994613801,
      0.555650004078264,
      0.449143481212188,
      0.470570630023652,
      0.38826931117902,
      0.602037423407884,
      0.499364027010241,
      0.421579367969232,
      0.28323347938274,
      0.501574063804711,
      0.468405589193597,
      0.527368680019154,
      0.461425249215057,
      0.520661071136176,
      0.458839523267384,
      0.454647713397065,
      0.295691732649126,
      0.513784461898239,
      0,
      0.543998552372157,
      0.336819154033368,
      0.351959164767937,
      0.172446237402862,
      0.353590158857305,
      0.170335196851642,
      0.421302191839038,
      0.0991339895037616,
      0.0977379666387851,
      0.313825978899769,
      0.508863331423826,
      0.184567315846409,
      0.0359168478645346,
      0.301264631548267,
      0.368092711242517,
      0.314967339573368,
      0.488190305701099,
      0.257413319099641,
      0.187259886515532,
      0.0937768003272883,
      0.134145839077896,
      0.154502944090041,
      0.110892140418665,
      0.346823534815279,
      0.171306846308336,
      0.554627028490002,
      0.546204691597531,
      0.345145004638563,
      0.214688804948817,
      0.187281060364192,
      0.25370439040507,
      0.24525418781185,
      0.0252748605297413,
      0.464713232752571,
      0.198448377392924,
      0.305969210010101,
      0.547854922031681,
      0.255684547552968,
      0.147703247886907,
      0,
      0.0863056320136296,
      0.215171563033164,
      0.212829397251641,
      0.596598569490815,
      0.524284757344529,
      0.201129154910832,
      0.51659235273917,
      0.374209604306254,
      0.227628886045319,
      0.544573386060867,
      0.443812877817657,
      0.558315074663869,
      0.253259511756644,
      0.421754982786665,
      0.246648940459745,
      0.362978631011845,
      0.335447455035072,
      0.285944316352478,
      0.444844347403137,
      0.304230104329244,
      0.453955821183982,
      0.305010021428399,
      0.500869388328803,
      0.559829023310901,
      0.48168300440476,
      0.501164456925202,
      0.433052498198867,
      0.466471240242843,
      0.304853707921566,
      0.366478894304185,
      0.335119270145863,
      0.220821294274817,
      0.5199136259325,
      0.400079608497806,
      0.419705376144002,
      0.248952019481842,
      0.44460984659962,
      0.356116171971865,
      0.207033735413126,
      0.516334891740257,
      0.219696467031652,
      0.27022446415078,
      0.0110213124132364,
      0.399796394313618,
      0.5202799956179,
      0.280561290409931,
      0.560650388862362,
      0.514967964660712,
      0.234252369961466,
      0.57391677248396,
      0.501424512731545,
      0.453429024190986,
      0.737597562515636,
      0.343480637372208,
      0.443416095161731,
      0.287869701933952,
      0.320448295859926,
      0.458005397225367,
      0.265163113880255,
      0.581964279510524,
      0.220777612341453,
      0.287530083928495,
      0.236882127130022,
      0.252949773566002,
      0.53857303684408,
      0.489711879649871,
      0.369233451797718,
      0.544347781523669,
      0.407215951918805,
      0.613864930556274,
      0.537315430891693,
      0.507603005553108,
      0.644552915537708,
      0.296939631941296,
      0.545696791176341,
      0.486607092715026,
      0.467241712796928,
      0.524683155204211,
      0.352854072363202,
      0.552452452014025,
      0.591853753574223,
      0.452700856289065,
      0.496074402146168,
      0.649155552016257,
      0.456184715671533,
      0.477997302762648,
      0.718001796451594,
      0.464971635530059,
      0.399072639194316,
      0.437241743064732,
      0.4828987403355,
      0.44119457731806,
      0.429315241475534,
      0.582439236662261,
      0.266868724068501,
      0.490438285723713,
      0.532182195996105,
      0.350096476077471,
      0.332333919892756,
      0.394487951070353,
      0.450154125389631,
      0.515087552900309,
      0.448420184873899,
      0.503818831386448,
      0.637872332432699,
      0.28444455399034,
      0.515753016713211,
      0.508960520716127,
      0.448000109071561,
      0.452049214219639,
      0.457983579061868,
      0.444332915428764,
      0.550860188195383,
      0.628155422043763,
      0.513743087888885,
      0.31361594184747,
      0.583158166335937,
      0.61154714100685,
      0.757988033161498,
      0.400541218369805,
      0.391006162219489,
      0.472978590336592,
      0.394541873334306,
      0.42442783837947,
      0.780457172539658,
      0.374857102191612,
      0.467503071212257,
      0.562531025190636,
      0.458856877495908,
      0.456649079516975,
      0.589925540469175,
      0.322602585977472,
      0.415064837957503,
      0.432994699251823,
      0.372630342144686,
      0.26382840149418,
      0.553581767647684,
      0.449403226233775,
      0.296047026317646,
      0.21704162246514,
      0.374316370897055,
      0.443333255255294,
      0.431187703799519,
      0.540342552613528,
      0.220419712335126,
      0.197664549831836,
      0.178814051989481,
      0.464940565639993,
      0.249094229281115,
      0.31463299212379,
      0.591972159699497,
      0.432286545842358,
      0.338992983197025,
      0.538235349949922,
      0.41546511902334,
      0.542446943401844,
      0.287657314778931,
      0.540687669426814,
      0.371328678832817,
      0.711354652472105,
      0.464931800323613,
      0.294825254057544,
      0.490142992834633,
      0.616842263779129,
      0.456171161556245,
      0.420955303633225,
      0.294753023155266,
      0.293356346171825,
      0.293932325764515,
      0.389920851726358,
      0.377849305875314,
      0.563821099558024,
      0.536406609007236,
      0.462360403379761,
      0.573693826438977,
      0.479216838249334,
      0.438614881534224,
      0.27795219580835,
      0.395525727552534,
      0.337319253417857,
      0.330344128133744,
      0.612836703652321,
      0.738674286865301,
      0.592978929138635,
      0.510125032742324,
      0.390857355563419,
      0.563243846745206,
      0.418605669687469,
      0.528465140295561,
      0.608713468586054,
      0.547087443456713,
      0.430942046817569,
      0.358881373225526,
      0.572548576364959,
      0.50473809033531,
      0.411458389157261,
      0.385351795183703,
      0.525137103548994,
      0.423726667215566,
      0.403985570565621,
      0.34267087172202,
      0.365084323735087,
      0.363264410437091,
      0.568087690765299,
      0.527810054122776,
      0.325010838260788,
      0.271794661968078,
      0.654708942599039,
      0.495465765336047,
      0.544537262604137,
      0.420959832261671,
      0.478781333271327,
      0.452746589906747,
      0.554354419264927,
      0.617810210325652,
      0.429511864931239,
      0.454418930562651,
      0.58977781945152,
      0.486115831774075,
      0.520895744848333,
      0.536386136627438,
      0.4192445990136,
      0.289875372545801,
      0.546594127222601,
      0.600314052959375,
      0.407702738378807,
      0.40967217043559,
      0.475309905756914,
      0.53528432735131,
      0.477752636600084,
      0.454552030996181,
      0.346185038577024,
      0.476394869659747,
      0.483307483526646,
      0.505378777921964,
      0.61800887952993,
      0.439654854309597,
      0.695599587537281,
      0.536883588554994,
      0.570868882897694,
      0.500384560254146,
      0.524369419808908,
      0.466896557313243,
      0.671521175025936,
      0.382179711079353,
      0.372317395338881,
      0.481629841139646,
      0.303857222854444,
      0.322314162751537,
      0.472134885231323,
      0.420552906481782,
      0.393072295894289,
      0.355636188820625,
      0.413492620854611,
      0.545497685091855,
      0.356415419545528,
      0.399352179398878,
      0.555041250678688,
      0.657818873355931,
      0.444985897411732,
      0.474056942933056,
      0.470066652116045,
      0.514088288784243,
      0.637613655986561,
      0.521456157919504,
      0.716062538109342,
      0.435937350266492,
      0.336158217879917,
      0.480192917697522,
      0.740311898847658,
      0.588605686419446,
      0.561972250559095,
      0.512329439789549,
      0.42124048523268,
      0.250429775892676,
      0.24165057238745,
      0.314364880519543,
      0.735359406916678,
      0.497355731493109,
      0.37507978835229,
      0.388192138437524,
      0.52633517094445,
      0.734716645850447,
      0.529656173696183,
      0.640331432761094,
      0.393173943972624,
      0.742824568888915,
      0.428896363807558,
      0.334102428906578,
      0.553108572535935,
      0.442509898566025,
      0.495923793070765,
      0.617795085592131,
      0.599111009830069,
      0.509057319275212,
      0.500812804757013,
      0.458401829878138,
      0.602951470656278,
      0.547237887309295,
      0.4607751922052,
      0.451131980088334,
      0.639680577871159,
      0.556077678212728,
      0.496876525055916,
      0.442743405535936,
      0.580823999188376,
      0.460993557445064,
      0.726661179020537,
      0.503219145682285,
      0.3253846217755,
      0.52636191278941,
      0.604556592992953,
      0.480461943298045,
      0.592897749524511,
      0.734099408939712,
      0.360677620261465,
      0.502176960560195,
      0.569996443873571,
      0.471641725312117,
      0.520985077588259,
      0.59663363238757,
      0.410886713032841,
      0.469655014041518,
      0.517861805076147,
      0.661598725394919,
      0.445296621659073,
      0.627495771755858,
      0.528423982435206,
      0.520979505916089,
      0.632654673442875,
      0.448906924221019,
      0.398344341899946,
      0.530731618514525,
      0.530087043442505,
      0.494801849774229,
      0.468335340909508,
      0.189256413481381,
      0.272291409049261,
      0.406321095651594,
      0.323840493113429,
      0.362610791254454,
      0.643537268052949,
      0.251234891727524,
      0.439117657915249,
      0.451655788455734,
      0.340528019967333,
      0.585915505704516,
      0.514234492819881,
      0.458489512640962,
      0.392633105982729,
      0.35155056491314,
      0.344034904089101,
      0.770478936778003,
      0.432780982648461,
      0.649408702533678,
      0.45770286464052,
      0.541669988678449,
      0.308236228662577,
      0.278931145963846,
      0.579578654452625,
      0.451587683142775,
      0.76833940696794,
      0.420919638149596,
      0.326208090697823,
      0.594248837270203,
      0.511200503063278,
      0.559216123344713,
      0.823644418959726,
      0.507950128414587,
      0.412091130932043,
      0.458292881100806,
      0.475571699833478,
      0.500744119201804,
      0.337723659616532,
      0.552397947975909,
      0.639172325881656,
      0.430635651337525,
      0.568879141794085,
      0.403357742834736,
      0.412334923132495,
      0.534606921172672,
      0.502714555042729,
      0.464324617701417,
      0.58781195766271,
      0.421474449531981,
      0.586217515484133,
      0.669972034137703,
      0.52531231120035,
      0.802290947365392,
      0.362233212312423,
      0.573224759017344,
      0.459856017580817,
      0.43585517442487,
      0.356733932020348,
      0.299749096544921,
      0.58073223225806,
      0.57758259298105,
      0.514919803160706,
      0.494876278621569,
      0.516932777499807,
      0.462859527870033,
      0.57924347311151,
      0.520949219418278,
      0.38386079380384,
      0.405636340941236,
      0.574046207455159,
      0.390192706273074,
      0.499445934685116,
      0.57349267589472,
      0.467479518719242,
      0.323193561948653,
      0.547992979424214,
      0.636875417946648,
      0.501083213074826,
      0.709864722140823,
      0.529974199774194,
      0.527793745299332,
      0.478538021637999,
      0.687368524662804,
      0.427145271007824,
      0.603692274268555,
      0.492071810669093,
      0.366222343333585,
      0.484069056077384,
      0.793818652288694,
      0.374211100175136,
      0.482774095880703,
      0.437854459468545,
      0.479402500526368,
      0.611074871410402,
      0.367638631849981,
      0.542654379878145,
      0.629831426000355,
      0.433419320902777,
      0.465776174083906,
      0.402270658669643,
      0.469443660818743,
      0.538855116739573,
      0.710654453911776,
      0.60759872929921,
      0.590672735696598,
      0.376517305757776,
      0.606645782672638,
      0.471766496372783,
      0.32029875137021,
      0.396271383906813,
      0.435348197117927,
      0.485871278398463,
      0.420488590530517,
      0.257276682642548,
      0.398015045551621,
      0.379228053501592,
      0.512407832315519,
      0.32652248910651,
      0.474436945309918,
      0.340785892912116,
      0.40485441156676,
      0.30825411138612,
      0.437005821624237,
      0,
      0.469727204653154,
      0.201796930142194,
      0.257533719543357,
      0.0912582152049633,
      0.287432093388352,
      0.169069344921842,
      0.514445839954044,
      0.0584544441637147,
      0,
      0.309801756769641,
      0.521827424931737,
      0.219198569472628,
      0.0244540154764248,
      0.227078274588036,
      0.375928890970359,
      0.327478217855534,
      0.503951470622642,
      0.260461017900789,
      0.209089660751681,
      0.0550241116952488,
      0.0882954570466994,
      0.155274992781437,
      0.120061108927517,
      0.408840805358767,
      0.198245345897657,
      0.501920359726485,
      0.425503018804075,
      0.204834575905169,
      0.0358976473166748,
      0.184893837408654,
      0.217303287767177,
      0.189591817137905,
      0,
      0.493585113212176,
      0.146902616341262,
      0.0558347852479951,
      0.515085413779376,
      0.188595423946985,
      0.100866639410232,
      0,
      0.118746584245548,
      0.263567582137266,
      0.160763446477286,
      0.514390444425517,
      0.408855199850783,
      0.22965496017737,
      0.416129425078286,
      0.310495696702049,
      0.329916555209802,
      0.414338605067058,
      0.506542223396869,
      0.523284041200438,
      0.254677972683208,
      0.379715800005016,
      0.183155350987609,
      0.354171836818379,
      0.328734295474246,
      0.267138452587799,
      0.424916781809587,
      0.306554047591761,
      0.446013160533988,
      0.338718727008834,
      0.526248074515133,
      0.679668706490184,
      0.428139704683572,
      0.469336025791325,
      0.418495642521635,
      0.323908855680384,
      0.399770865342353,
      0.368200289029337,
      0.349178095592734,
      0.240612864642887,
      0.379131051241836,
      0.476877705471007,
      0.431377680294397,
      0.168883004748308,
      0.370293245165821,
      0.297971435600984,
      0.110416812068205,
      0.497813905979929,
      0.119022721352237,
      0.19744144844256,
      0.0120695524542702,
      0.358284707116466,
      0.528795993390251,
      0.347328254910103,
      0.519179571851683,
      0.413241608989781,
      0.152029536016337,
      0.584596974695538,
      0.455607854261968,
      0.384129766136428,
      0.723320162146969,
      0.353904789086464,
      0.384659798470234,
      0.27767511697673,
      0.270922665287485,
      0.344772931085437,
      0.253370761917036,
      0.54368221056662,
      0.161614997855147,
      0.277027619122172,
      0.219199828805428,
      0.379339451278533,
      0.423847177846945,
      0.223151869455064,
      0.380613155177409,
      0.496995507971213,
      0.362653543067867,
      0.56997050861897,
      0.497352688542781,
      0.448001422483532,
      0.5385952970766,
      0.305701236637396,
      0.501042575707889,
      0.49651276018153,
      0.454896702262884,
      0.643366690746387,
      0.381885770921958,
      0.536844655349891,
      0.410086203501263,
      0.272078499918982,
      0.477605372294437,
      0.530952106050909,
      0.395095103070287,
      0.401649884259739,
      0.704970760440983,
      0.362496439966752,
      0.293055269834057,
      0.292814208277997,
      0.400451923207516,
      0.332614437971112,
      0.411300162111434,
      0.404432937997793,
      0.275200865006285,
      0.472828394825896,
      0.397914818181055,
      0.340323759031316,
      0.367130922242853,
      0.393567701828697,
      0.396917299934768,
      0.443642135198106,
      0.442923371900472,
      0.485836180228067,
      0.400146484840226,
      0.276334050027951,
      0.483821101010597,
      0.367886437529959,
      0.425881062162277,
      0.378213203830463,
      0.416002446211757,
      0.347462803835223,
      0.41745970706525,
      0.446480507322341,
      0.471608784480578,
      0.318905241419406,
      0.554651702603124,
      0.543693659267187,
      0.783295028273721,
      0.379749822823294,
      0.309456508338614,
      0.470528019456187,
      0.348782356813471,
      0.414949244825491,
      0.52617953056011,
      0.30227443310073,
      0.479250788180653,
      0.489103675642801,
      0.439174473429161,
      0.471360240663027,
      0.372499867054189,
      0.379127145446601,
      0.422666356358904,
      0.42426766534377,
      0.305091854846288,
      0.239208006490053,
      0.35823208945589,
      0.393954947558514,
      0.3019380064426,
      0.243328393667529,
      0.379926653283934,
      0.343714299767986,
      0.429730348293895,
      0.49487950827785,
      0.286643726477301,
      0.197021708402057,
      0.139116686254403,
      0.414691565928784,
      0.202117259379913,
      0.243437353151884,
      0.543395498172798,
      0.386839356970128,
      0.498286678863177,
      0.378199397526626,
      0.25790693469267,
      0.568580480911192,
      0.343679451804601,
      0.525025578758663,
      0.307779257990715,
      0.686969208589947,
      0.493357368651993,
      0.295745920608934,
      0.498405493489532,
      0.602234683213721,
      0.440508042825193,
      0.508452356594641,
      0.270538434883941,
      0.314441039049413,
      0.244666678751154,
      0.31070385610052,
      0.313078968209232,
      0.419341607538435,
      0.411295672034611,
      0.472863819296937,
      0.307144719014162,
      0.599080350701895,
      0.359383980941403,
      0.253692892669973,
      0.448562352197054,
      0.455198507884766,
      0.33703291760533,
      0.518122542017197,
      0.749054673231266,
      0.459968133686053,
      0.618133204797589,
      0.35801006001717,
      0.399768259403403,
      0.405894874131644,
      0.508091866566883,
      0.693514628538531,
      0.510811176132475,
      0.327356573861138,
      0.385305586078041,
      0.535812058324626,
      0.441173603213459,
      0.273829383408414,
      0.257093661999111,
      0.616658811883348,
      0.636486473643547,
      0.461278260401903,
      0.42173263044776,
      0.394729381287913,
      0.348040711202855,
      0.463887098332893,
      0.379653904356974,
      0.336595720663948,
      0.297629897626919,
      0.758251785065639,
      0.422266997070275,
      0.568518409766139,
      0.408931743438566,
      0.60544260937151,
      0.407679351824786,
      0.511414308143085,
      0.577705395553841,
      0.389907216135768,
      0.463686604340784,
      0.508972348262115,
      0.427117499126678,
      0.443771780760922,
      0.467942420398077,
      0.460236480568102,
      0.138210584255967,
      0.526965754612185,
      0.565814487651409,
      0.367655625535086,
      0.466448660656942,
      0.317245976421766,
      0.51359618079197,
      0.432712574338921,
      0.44374380757185,
      0.244142416762688,
      0.480999705518605,
      0.391583936161346,
      0.483894116810332,
      0.636230471336473,
      0.416413947943531,
      0.614275156522487,
      0.57282033323166,
      0.469887614639114,
      0.434626673228018,
      0.420792122234904,
      0.453540465497317,
      0.411061111244684,
      0.251585232269629,
      0.413817723457354,
      0.450800021271644,
      0.344563465919664,
      0.315500125699559,
      0.363184859474591,
      0.343350430357848,
      0.330714079010911,
      0.445768704823498,
      0.368244470217978,
      0.470234225227099,
      0.361279653823255,
      0.353412342682977,
      0.502517956097716,
      0.639763748523359,
      0.537740563404806,
      0.530440076116661,
      0.315539841762389,
      0.514993901946547,
      0.526763585326946,
      0.437062903414397,
      0.664224924162025,
      0.356424038000405,
      0.327846714020682,
      0.388164898671269,
      0.738403657976841,
      0.569716003147287,
      0.54082153184964,
      0.466142661619382,
      0.420041640623992,
      0.223398948298425,
      0.222398094836929,
      0.351192148822315,
      0.666080853257407,
      0.499627333927931,
      0.351786192845644,
      0.394724209535691,
      0.34019707931015,
      0.45817534821226,
      0.515634949909729,
      0.515614677842875,
      0.353322098458635,
      0.620930772844343,
      0.426950445640874,
      0.422444317525869,
      0.442693610456958,
      0.489207256605612,
      0.448120150511858,
      0.474797110485145,
      0.419125728257501,
      0.423009006764782,
      0.328781752012497,
      0.40575494028932,
      0.583655817670258,
      0.543249349308066,
      0.37973503524713,
      0.422319846012691,
      0.553414624313857,
      0.375648896800357,
      0.43546681836299,
      0.429970849127311,
      0.528115008229143,
      0.486824732405541,
      0.781520780355837,
      0.477108623152069,
      0.282251730743848,
      0.310861737570088,
      0.532190963190904,
      0.424577815575553,
      0.351249576019041,
      0.658620669983188,
      0.417217733719301,
      0.458893933317112,
      0.529659062069473,
      0.477700969801556,
      0.463036316116608,
      0.509483538373455,
      0.360614365759772,
      0.450950557334752,
      0.348246125432335,
      0.658745844406705,
      0.441957526580059,
      0.441082280439827,
      0.471733783001799,
      0.452679202433736,
      0.543122797130034,
      0.4792856403258,
      0.305652967650377,
      0.503631124643213,
      0.434039477580476,
      0.375919244509661,
      0.441593788388259,
      0.190317098330196,
      0.256342189182306,
      0.306656269353937,
      0.415592864427628,
      0.411714258586917,
      0.40561868546123,
      0.277816628808307,
      0.412874844716149,
      0.392483135046728,
      0.302647057574992,
      0.578112861522478,
      0.354808227478453,
      0.438561858391836,
      0.378830974807322,
      0.254179763381411,
      0.293830402128102,
      0.681669218230111,
      0.543434428806229,
      0.49858125370662,
      0.4804816175357,
      0.497357335469931,
      0.272330565186961,
      0.230248780551155,
      0.537345645004378,
      0.326772035351938,
      0.770241632181105,
      0.451520932708631,
      0.295078544961799,
      0.529613481606628,
      0.470136417248108,
      0.485082296061905,
      0.60015138366662,
      0.543552000966307,
      0.446586326305516,
      0.463668666047451,
      0.379880173387267,
      0.628735139953412,
      0.399749256524143,
      0.473498128892146,
      0.667516404776015,
      0.414066608256651,
      0.454901965209367,
      0.275388838470418,
      0.441012123539597,
      0.488725364222791,
      0.556485345611265,
      0.336670865426572,
      0.573523330244178,
      0.443007602936665,
      0.612028110608387,
      0.594821091173316,
      0.477122012112556,
      0.482044233036057,
      0.420768378375494,
      0.462773385321444,
      0.404906194643946,
      0.338012161232189,
      0.351223301221785,
      0.380862464347675,
      0.614074467556788,
      0.463699664878107,
      0.472023457899839,
      0.468300957556024,
      0.619921234783469,
      0.453194570283477,
      0.509250375159853,
      0.592198964336589,
      0.325244965210294,
      0.356316408629987,
      0.494914926985733,
      0.323749510372903,
      0.465138041322573,
      0.691047469449897,
      0.557626726151053,
      0.317009855122689,
      0.555445235199302,
      0.595763498376347,
      0.506425000198322,
      0.770765150666699,
      0.397186031516989,
      0.412448183032739,
      0.442016458214553,
      0.458836180084269,
      0.408643174289555,
      0.505162469826286,
      0.480890909766579,
      0.457456873442026,
      0.512116156948473,
      0.726489163066045,
      0.347254906729284,
      0.403902370257156,
      0.457461148174438,
      0.408309710707675,
      0.530442620473098,
      0.297079701530167,
      0.58081889270911,
      0.573364271110562,
      0.36078694513632,
      0.419840975478532,
      0.265731918756895,
      0.346216964013415,
      0.505552421323544,
      0.717826465834193,
      0.447048411675422,
      0.43336449782554,
      0.406483566362784,
      0.615417086463999,
      0.501922666669466,
      0.239036799899982,
      0.397819667579124,
      0.403026795778627,
      0.47823687153839,
      0.433801352317809,
      0.378703169285097,
      0.396037697191073,
      0.322332331588965,
      0.487046402607551,
      0.266951744539953,
      0.442543016643395,
      0.293301632262733,
      0.371836192638671,
      0.293812018331283,
      0.371776151094281,
      0,
      0.196166438535671,
      0.197452813845102,
      0.291401585269316,
      0.0876457672393239,
      0.247792816171642,
      0.132413657400569,
      0.495392064755267,
      0.189729566929834,
      0,
      0.341426087969116,
      0.370015061571099,
      0.320111532630426,
      0,
      0.21279763866367,
      0.319223834787662,
      0.318358272861434,
      0.401534412429272,
      0.264681521850881,
      0.0420101383238266,
      0.0279349152710856,
      0.0222408536999036,
      0.0933442793984385,
      0.115012684525876,
      0.366738195730464,
      0.227829693008301,
      0.458192530048334,
      0.36423301968611,
      0.176261466437528,
      0.0599030960714107,
      0.0993021914672296,
      0.21560351630187,
      0.270287964708066,
      0.0374718541431055,
      0.510361152064927,
      0.267083469774997,
      0,
      0.445638308717297,
      0.100510134928619,
      0.155534908805537,
      0,
      0.145952341315454,
      0.243970685800579,
      0.172843844913929,
      0.374103483753217,
      0.249496265714442,
      0.204671091741139,
      0.39075284344691,
      0.382697926782308,
      0.222069556694753,
      0.201433250652901,
      0.462145537733805,
      0.539167069701777,
      0.238928349130469,
      0.317950136215317,
      0.222743593212473,
      0.27922493447315,
      0.39472761033427,
      0.430361064874431,
      0.471256024377158,
      0.506249032262178,
      0.47639635111635,
      0.422099410047462,
      0.505220040207428,
      0.523971554301162,
      0.364490398866575,
      0.412039067155692,
      0.495485511292644,
      0.36112414619238,
      0.496771487165742,
      0.313923329751429,
      0.281081266201983,
      0.220250172956524,
      0.214246070603214,
      0.649262945628333,
      0.375127914226905,
      0.196698108475922,
      0.312478329728087,
      0.314036945008736,
      0.11042582880964,
      0.489592912380528,
      0.13827898578787,
      0.204486496082039,
      0,
      0.214903069231641,
      0.565377809455702,
      0.312524996762063,
      0.480804669116863,
      0.345321419279273,
      0.160956683938841,
      0.592811258377027,
      0.454816380908404,
      0.33717740170801,
      0.665031424009142,
      0.351622725327911,
      0.355367406910312,
      0.271571774774634,
      0.274532305617968,
      0.323932672929233,
      0.230337397153343,
      0.527565724148497,
      0.233190317234235,
      0.223867718424148,
      0.154578100129918,
      0.24776985322987,
      0.415323771284328,
      0.221357713114408,
      0.328638497718284,
      0.275192573435927,
      0.256252370860467,
      0.538236275196571,
      0.249366325413701,
      0.330592273913175,
      0.396999170642268,
      0.536073429343649,
      0.513202884672067,
      0.481084253521012,
      0.535684955777394,
      0.500019961990475,
      0.374249539120807,
      0.500875492532042,
      0.533503294259559,
      0.269656054487635,
      0.407449879269316,
      0.416044019372641,
      0.387670130351554,
      0.477098352744451,
      0.500136206905654,
      0.325747881435718,
      0.356893093149774,
      0.289908348512569,
      0.326341419419911,
      0.298369326155667,
      0.4087366302651,
      0.334248016090028,
      0.289739538899689,
      0.519438257445999,
      0.387574267443439,
      0.570705996719877,
      0.306925865168484,
      0.387995528641055,
      0.451845982403464,
      0.343523370127521,
      0.767066841611875,
      0.41833109077716,
      0.290332920964455,
      0.298346122137125,
      0.441728668594403,
      0.307154671491497,
      0.369698189007622,
      0.33133971221501,
      0.411379578865268,
      0.449303550975135,
      0.570905111086785,
      0.564516567237268,
      0.361165812246243,
      0.377691730697074,
      0.553577209159355,
      0.526992824466963,
      0.585503050959718,
      0.31811640788993,
      0.323252386475266,
      0.462843161938066,
      0.373433151613341,
      0.434293739943632,
      0.375512871605511,
      0.330250120842696,
      0.4556343112539,
      0.439306025093815,
      0.44622641541466,
      0.473587873620132,
      0.368302550434686,
      0.34628754715929,
      0.4746611437722,
      0.388900281868883,
      0.292418518934564,
      0.335800796859228,
      0.293071946825456,
      0.287756885631314,
      0.321985796157839,
      0.237565097653024,
      0.343024754572887,
      0.329419799926591,
      0.393146057403895,
      0.443462091709758,
      0.27968836609914,
      0.255133894757926,
      0.0807144010347251,
      0.403195823999622,
      0.19509663066638,
      0.235517123608631,
      0.492079385056607,
      0.216392787797417,
      0.430441439719446,
      0.433618165667735,
      0.235445831439553,
      0.435929369430996,
      0.277906502838582,
      0.478434571426345,
      0.305002401202129,
      0.328133974303593,
      0.453088368806732,
      0.356605360473496,
      0.435583483234631,
      0.399352807046654,
      0.396710213059508,
      0.569336279058121,
      0.251922743196885,
      0.334217770782073,
      0.260942677271225,
      0.283877491433735,
      0.296646987466712,
      0.364719424198787,
      0.369011756490675,
      0.437247754140634,
      0.264809195082309,
      0.559204195669555,
      0.393407076105096,
      0.268985828743727,
      0.441808846414886,
      0.337272429595637,
      0.247304971815341,
      0.468750536517742,
      0.43408484795265,
      0.453064150880934,
      0.481539697014247,
      0.300002087270712,
      0.348570865765106,
      0.450604097283938,
      0.456628908023074,
      0.600657735387348,
      0.359956342824193,
      0.345672746250113,
      0.472758051837897,
      0.616157566022291,
      0.36642128957516,
      0.321059614836053,
      0.308793477838586,
      0.582964658579026,
      0.610824952038046,
      0.469357432139681,
      0.670752852607795,
      0.607467083887045,
      0.331378801022461,
      0.483379678989328,
      0.306359556724487,
      0.300872347267108,
      0.293276483489518,
      0.629688343118942,
      0.432039715986058,
      0.457418867012828,
      0.3261807560247,
      0.464938249850624,
      0.298745001354517,
      0.493141125326172,
      0.470688304429389,
      0.466869334475491,
      0.384909298906289,
      0.271008866502132,
      0.339631588482207,
      0.360036959159079,
      0.412692131524637,
      0.397126742500372,
      0.160346284738064,
      0.457509182725738,
      0.409471666635303,
      0.246476016028124,
      0.427410485576282,
      0.267048531458287,
      0.441644153944353,
      0.543518370209027,
      0.32845930072864,
      0.254553100689124,
      0.30334808144826,
      0.414617114192119,
      0.405491120016001,
      0.562648635716529,
      0.396986746709576,
      0.567428566780249,
      0.566647361053856,
      0.544055565791147,
      0.516386267777617,
      0.50343690619211,
      0.484020907187369,
      0.512037268150549,
      0.267592597697698,
      0.367536067623567,
      0.3986988208133,
      0.588865449420245,
      0.280959226288345,
      0.516931070455281,
      0.347849504153806,
      0.278419486653895,
      0.697807368249544,
      0.378781110470756,
      0.438913785211081,
      0.381409717227749,
      0.354683111126793,
      0.556536728273627,
      0.607081716086364,
      0.393817374454294,
      0.469028430415462,
      0.315261776764707,
      0.449701415760533,
      0.442977589599634,
      0.399596106295776,
      0.5739434511604,
      0.336579319454339,
      0.325123481830247,
      0.351294224654126,
      0.398431254987848,
      0.558091274470399,
      0.458714528894203,
      0.324456443633567,
      0.396340981635387,
      0.240852477496914,
      0.2786443553262,
      0.370539720564895,
      0.51287584737375,
      0.474954383227761,
      0.467067813171821,
      0.379846712365175,
      0.270602251480104,
      0.395651200137143,
      0.479684541165706,
      0.355030064468482,
      0.32570060700725,
      0.453275589893706,
      0.569781629601522,
      0.532567992706301,
      0.422774893075218,
      0.431167856437496,
      0.486257786854276,
      0.431855937848818,
      0.397677451630663,
      0.387544102376014,
      0.326805823084222,
      0.358079510062085,
      0.529814288194831,
      0.444804666928704,
      0.518595540685927,
      0.514711923211802,
      0.500032767413396,
      0.387273932803721,
      0.4609760925296,
      0.440362949256602,
      0.381383049752108,
      0.317605784643894,
      0.696229886933149,
      0.360952876576908,
      0.319108916979014,
      0.324249946139429,
      0.383679254436809,
      0.398550330362909,
      0.280252066173583,
      0.452046076853514,
      0.48479447398757,
      0.327703922767664,
      0.499927046596469,
      0.467030203692876,
      0.310620327230202,
      0.60935558194095,
      0.325601482606737,
      0.385773232732782,
      0.354794757997578,
      0.649028234163903,
      0.417420832318588,
      0.489055738661764,
      0.482805255009805,
      0.393656184232914,
      0.334071522107874,
      0.385442087520711,
      0.404106421345999,
      0.440863285644777,
      0.539028291880902,
      0.197781326882833,
      0.294357570736883,
      0.228429377481676,
      0.224203862369421,
      0.3275609536836,
      0.289869537025782,
      0.364249988265549,
      0.352215630322858,
      0.203474702849893,
      0.38858328888991,
      0.340832325255779,
      0.265794592408318,
      0.299418573963004,
      0.414515433381947,
      0.434959614169209,
      0.378647485969609,
      0.420266705587573,
      0.223383749057229,
      0.341135261952455,
      0.391872331060837,
      0.493989770061681,
      0.513480985227647,
      0.389175018073685,
      0.299848907761615,
      0.175420285029718,
      0.576360119808641,
      0.268164866820531,
      0.666556952621348,
      0.328834845393427,
      0.231415375824569,
      0.521887788613614,
      0.395713890715315,
      0.360753227715095,
      0.461962725034148,
      0.35867894356656,
      0.477810334009396,
      0.407203065920006,
      0.41155771000519,
      0.47670757125437,
      0.350426080433592,
      0.514862931558235,
      0.701240083787524,
      0.325413156877357,
      0.396193021292639,
      0.32124039413842,
      0.460695351151063,
      0.558746147666585,
      0.559322190659963,
      0.362123747273602,
      0.513193400521203,
      0.403456446159969,
      0.497113307530548,
      0.506867913555667,
      0.478120493044472,
      0.413957502483971,
      0.324187804958782,
      0.418238896058059,
      0.441593801095176,
      0.455325852626994,
      0.33159667715917,
      0.372213876175269,
      0.596299885358883,
      0.401261293833966,
      0.419354697549067,
      0.487970924739314,
      0.640752253168407,
      0.345284638138919,
      0.478672192712524,
      0.428990207515645,
      0.307421028394919,
      0.363170058811405,
      0.30999636562397,
      0.386658967185032,
      0.543185327628351,
      0.590129680327663,
      0.479744547656979,
      0.344468136215273,
      0.570170098989391,
      0.599443275243199,
      0.498993784005356,
      0.754561683547065,
      0.365162343055388,
      0.397010319988622,
      0.396415760962343,
      0.416466197470671,
      0.400113623038473,
      0.483803926675529,
      0.510842357916467,
      0.419516294697952,
      0.466171044780487,
      0.68346554302857,
      0.373475806917525,
      0.374175529403092,
      0.455272468459511,
      0.454423413170738,
      0.539220717115832,
      0.314296737156969,
      0.545840725272767,
      0.523681556933676,
      0.376766085353323,
      0.599576117606349,
      0.447196248954731,
      0.339950837538029,
      0.515653070767602,
      0.666254701494243,
      0.43014952913555,
      0.360747114059756,
      0.315661067177529,
      0.604411558835341,
      0.459905145993513,
      0.240955071722368,
      0.302824553451494,
      0.39717736354183,
      0.535038599086106,
      0.389249425689013,
      0.291236781413559,
      0.347675396229866,
      0.281541349116315,
      0.437522530717979,
      0.231389603393049,
      0.367333627558219,
      0.259160938635528,
      0.280977366627373,
      0.297530363410093,
      0.370088811593141,
      0,
      0.220678804211583,
      0.214586791628351,
      0.464397230301497,
      0.0989661155730413,
      0.21524813948146,
      0.138728699620171,
      0.560439230785384,
      0.213662058279544,
      0.0011856091784366,
      0.468833506131339,
      0.2992749517671,
      0.389639230681625,
      0.0180423578194592,
      0.165101213666794,
      0.260879554787919,
      0.390932332500458,
      0.482761329337812,
      0.298332658205071,
      0,
      0,
      0.0353385322654964,
      0.152785418854434,
      0.219597153309072,
      0.359145744456775,
      0.187789749087893,
      0.448142785301632,
      0.407396929892183,
      0.138296813540027,
      0.138007480151871,
      0.165923142672579,
      0.216822424043618,
      0.317383335958726,
      0.113269113254673,
      0.487632903635752,
      0.416891847115415,
      0,
      0.346656945014513,
      0.0704260421916394,
      0.201627779303537,
      0,
      0.0770463485787161,
      0.26147619803406,
      0.361414203343721,
      0.293942185015138,
      0.238046549891756,
      0.203601542149247,
      0.440672979921884,
      0.237745460354123,
      0.0899307313367091,
      0.208781812605955,
      0.287122007636843,
      0.557350826099281,
      0.218877679130166,
      0.346874182043428,
      0.298407987250006,
      0.24863175904833,
      0.345680730890914,
      0.351545352396087,
      0.46682471280109,
      0.44553022267833,
      0.44826858786391,
      0.349113677182271,
      0.494313171381748,
      0.365409628538915,
      0.394951567885118,
      0.408121415330363,
      0.672598014156815,
      0.393078054698386,
      0.562471126202535,
      0.3003414336678,
      0.195457597530805,
      0.237316290110201,
      0.272347876202643,
      0.684521242451364,
      0.321346605554641,
      0.183748299306395,
      0.367837888087595,
      0.29673508946158,
      0.1222641304964,
      0.47997917450633,
      0.184984227012594,
      0.224270150714212,
      0,
      0.228085859426793,
      0.601860731398522,
      0.564943872417103,
      0.513274617078272,
      0.395373192042874,
      0.212252632281041,
      0.663439178835503,
      0.653294071778828,
      0.347077562991909,
      0.583003854740727,
      0.400485223215227,
      0.36896074879816,
      0.346115889298263,
      0.305595677246272,
      0.315596807263236,
      0.233536180195973,
      0.495286189102367,
      0.208670621847979,
      0.297483051018899,
      0.103461868849319,
      0.176770043421836,
      0.399191062162662,
      0.145215036838664,
      0.333227305100263,
      0.252052609695806,
      0.343737161256088,
      0.476866441863454,
      0.210510118148432,
      0.280877694325859,
      0.345221156236915,
      0.60201817543743,
      0.583137594775972,
      0.540435908980306,
      0.597296109101028,
      0.42242485801922,
      0.279187626394327,
      0.488097351797862,
      0.575853618083381,
      0.249775296695809,
      0.376518244948423,
      0.414044585430339,
      0.418267667842857,
      0.42792412733654,
      0.462040241278442,
      0.328545835690459,
      0.354674201121233,
      0.242969050140048,
      0.364586437765895,
      0.240138638716598,
      0.434071885456543,
      0.287254275318989,
      0.437689321505953,
      0.513728555637012,
      0.462874387284147,
      0.616450901558692,
      0.408163491930736,
      0.336026261989609,
      0.349594653639408,
      0.359883714556354,
      0.839512909593212,
      0.442416051045029,
      0.326830227234118,
      0.266449282984339,
      0.383873866324138,
      0.393293500345159,
      0.379987628144012,
      0.473832876266674,
      0.483406925326624,
      0.548871001120956,
      0.476152431739238,
      0.483661956603809,
      0.309180496531551,
      0.390346614244297,
      0.499356990197128,
      0.574648743416193,
      0.394209963705007,
      0.317092167617466,
      0.275468253446074,
      0.458546374076861,
      0.354654832139419,
      0.396069646927881,
      0.374078746325478,
      0.426278386089963,
      0.440685147948177,
      0.483241690259248,
      0.413098803793967,
      0.587558860031467,
      0.329316377778785,
      0.340832268591564,
      0.449416744446143,
      0.389756375920723,
      0.293401208015335,
      0.678726024244063,
      0.33737109372643,
      0.309292418435849,
      0.394329009611138,
      0.241121976538993,
      0.385192445701341,
      0.467530835466808,
      0.33889594245985,
      0.401297111270786,
      0.286546667938485,
      0.277139476617701,
      0.152967920693501,
      0.340790390899237,
      0.205046603593841,
      0.327066626983322,
      0.464087468864024,
      0.152151400252172,
      0.372847527183877,
      0.519634436993083,
      0.430730124472812,
      0.348929058702689,
      0.220892707351721,
      0.504120347075824,
      0.348460613421898,
      0.232562523473171,
      0.390661027967873,
      0.508504953885111,
      0.462415561491493,
      0.469689760156373,
      0.411918044535341,
      0.465305650974557,
      0.290974290589057,
      0.296193529826767,
      0.2497035365715,
      0.277665775705867,
      0.411713546232403,
      0.467940873847349,
      0.404693918531141,
      0.444706661562226,
      0.221668048826352,
      0.411011147655193,
      0.383007904026321,
      0.257597335508186,
      0.444412648152663,
      0.23059770349856,
      0.2523245887709,
      0.35991552843254,
      0.366706908866396,
      0.418857424228203,
      0.402109927028173,
      0.313840049262208,
      0.334456730139862,
      0.505197732305876,
      0.433713135498036,
      0.376893638004886,
      0.287831788324637,
      0.390959122874916,
      0.426823895205982,
      0.570665408074286,
      0.304965878676331,
      0.373389416644351,
      0.280974633305957,
      0.39944879931908,
      0.370285967867638,
      0.308677728285564,
      0.669918492736008,
      0.647148221850108,
      0.379281116553271,
      0.501834681000773,
      0.234856708691936,
      0.284893242014831,
      0.320140266579494,
      0.377813161493992,
      0.441561930276069,
      0.362756281216282,
      0.283464150988524,
      0.321871444182874,
      0.280719936771443,
      0.55144127234287,
      0.533821688323458,
      0.645054588583755,
      0.317090519593421,
      0.467850929882694,
      0.38002864685177,
      0.412642115519114,
      0.43107016873417,
      0.264726557295481,
      0.203108470718416,
      0.519004250065395,
      0.40656899170285,
      0.274789434612275,
      0.398674073357373,
      0.199641035053735,
      0.52274876407213,
      0.624893687158248,
      0.370479575713716,
      0.262756164687564,
      0.418220782553286,
      0.429645543826081,
      0.376511457063126,
      0.558966131382754,
      0.446210742260115,
      0.421852587209063,
      0.464197253179476,
      0.46869166973028,
      0.642751477761828,
      0.435936192374883,
      0.641839071587925,
      0.549162504310159,
      0.419425629673716,
      0.4245490570082,
      0.395372060887426,
      0.678963177178164,
      0.253650715593412,
      0.583817386515736,
      0.358202677063907,
      0.371946244251249,
      0.781643811484224,
      0.351783238532595,
      0.560486295578639,
      0.454929319580287,
      0.355520731892987,
      0.583162771090869,
      0.618842504846121,
      0.363357368754387,
      0.516689380831091,
      0.337646566164639,
      0.363282850586429,
      0.4921807931589,
      0.410342106764276,
      0.415606712449389,
      0.277219885172105,
      0.589550319137497,
      0.375062069303095,
      0.28743699945868,
      0.554762865560783,
      0.381324319569144,
      0.280724255698715,
      0.59740604876992,
      0.181746023531669,
      0.252803876053677,
      0.572657394653512,
      0.400674479820477,
      0.636671988897223,
      0.51450991501993,
      0.324224688043738,
      0.33553232852446,
      0.35616513706824,
      0.482797356260176,
      0.427692901339898,
      0.393145932888369,
      0.478702144986533,
      0.563035033786072,
      0.630611906412516,
      0.479666984261265,
      0.547202880169047,
      0.504346326391874,
      0.37914892796258,
      0.406595267781844,
      0.378315058082606,
      0.420552277106655,
      0.300894248554736,
      0.517941588945353,
      0.372333260308049,
      0.399340626095679,
      0.373388000704309,
      0.431128594400404,
      0.391262214308375,
      0.398928383133939,
      0.40052712268856,
      0.369675027495822,
      0.293597803753424,
      0.494862778708379,
      0.375285194614063,
      0.36147531170744,
      0.33894412357505,
      0.426652771504177,
      0.459525076266518,
      0.2967768533506,
      0.432120957406723,
      0.538555575378069,
      0.36533953535692,
      0.511163877631541,
      0.41335292945366,
      0.307523220229608,
      0.668281709484161,
      0.390893407916997,
      0.382797833849435,
      0.385166535032767,
      0.601532297948707,
      0.446288051357088,
      0.326776041677714,
      0.449003896322406,
      0.472657848699295,
      0.358739074145505,
      0.421529286480288,
      0.590043914885234,
      0.445865205144878,
      0.601424113226296,
      0.163042081298114,
      0.269717537646657,
      0.177571752350091,
      0.20568936850089,
      0.321963263972425,
      0.235680189970618,
      0.325962110135287,
      0.332933769304896,
      0.198140482617264,
      0.365174228505971,
      0.400172124227447,
      0.312038803631855,
      0.291790536981229,
      0.450732378913106,
      0.41772928624746,
      0.414285149400143,
      0.501926943634409,
      0.222761166053782,
      0.303440411958359,
      0.291467717193212,
      0.445055551024233,
      0.744912792874932,
      0.380292202608539,
      0.483448998291965,
      0.138186132258038,
      0.531160464081511,
      0.254843004182784,
      0.404934598356919,
      0.21823245869099,
      0.268360080603941,
      0.481210098006392,
      0.399484702247147,
      0.354551041907751,
      0.409675199199632,
      0.308604759916473,
      0.494445980165379,
      0.400046816989521,
      0.398814714410515,
      0.371982233551299,
      0.323824949379895,
      0.479272326023417,
      0.667994288519159,
      0.322567179021483,
      0.394919060461246,
      0.347163711422766,
      0.493712742089527,
      0.399811532732112,
      0.554099707610951,
      0.358177942606949,
      0.395112818546174,
      0.546728491387933,
      0.504794035999368,
      0.395564118234548,
      0.491553465891083,
      0.444359040180291,
      0.571958771129224,
      0.392296953724343,
      0.441623928792543,
      0.592705151890585,
      0.338023959543661,
      0.526996851380017,
      0.563431176741529,
      0.462182911726161,
      0.43824974041386,
      0.497212864973761,
      0.656033360279934,
      0.314787849915782,
      0.498849182422575,
      0.515042329191194,
      0.405086568189825,
      0.472866073436746,
      0.304423161471692,
      0.370121780820123,
      0.383108464616147,
      0.438667314536804,
      0.346719758761854,
      0.381613313199064,
      0.628586668956871,
      0.530432335555237,
      0.522635665696896,
      0.700337260891728,
      0.31808838730812,
      0.42878989389084,
      0.339813040306574,
      0.402894978813334,
      0.380434909222167,
      0.555469039239615,
      0.498233279598516,
      0.409280997181184,
      0.433740678780949,
      0.629181583452005,
      0.408834720481133,
      0.411012855959547,
      0.370358160027832,
      0.439217679799972,
      0.535098774527742,
      0.27291739724101,
      0.593543364406649,
      0.521986078826489,
      0.545763529657355,
      0.679865420688146,
      0.602024548251089,
      0.396651507045878,
      0.61520537696821,
      0.548831823725467,
      0.463416917876158,
      0.444356001789436,
      0.326172303293929,
      0.570775650034297,
      0.479080797639573,
      0.269060472814952,
      0.308825892891102,
      0.622723838237924,
      0.534172845568977,
      0.406431785199248,
      0.216284342718258,
      0.326664824639063,
      0.409437444257626,
      0.462879917844383,
      0.255923877372631,
      0.229106068933292,
      0.294215756224162,
      0.266953103650266,
      0.297886064497243,
      0.397156324173972,
      0,
      0.404574240466604,
      0.287857655330537,
      0.508344668232895,
      0.201553830726504,
      0.285506444928623,
      0.215030800909398,
      0.435606633330794,
      0.320886462017347,
      0.0133309619557924,
      0.437995593103787,
      0.264011847078485,
      0.30094286215982,
      0.0246882157350293,
      0.228842827324589,
      0.255657848178164,
      0.429312503076686,
      0.525227162926842,
      0.30056896787628,
      0.0038742139203245,
      0.017539230010514,
      0.0712931712948596,
      0.194233849360901,
      0.212579265444857,
      0.352590702068823,
      0.16096260665398,
      0.530715711795026,
      0.5749644125495,
      0.14957589272901,
      0.181605545568141,
      0.205955347064791,
      0.30230572836474,
      0.476808495814911,
      0.113309229673522,
      0.417119982580482,
      0.515280312974249,
      0,
      0.593138364545979,
      0.107320911567266,
      0.208086717021531,
      0,
      0.11149303259323,
      0.232860698906175,
      0.439295260352386,
      0.486224494752052,
      0.242595508594802,
      0.171837165999708,
      0.452733372018774,
      0.181880068035674,
      0.104432446825365,
      0.45255886498228,
      0.38866257924842,
      0.603728468141946,
      0.263838090035178,
      0.332373388583179,
      0.263055181571931,
      0.199383807782323,
      0.386343482287441,
      0.241374586898123,
      0.465706901958689,
      0.279755787768673,
      0.49131569356887,
      0.33937668978817,
      0.466527725271529,
      0.384567874651332,
      0.419714974598247,
      0.370289595320755,
      0.569249997232696,
      0.377269803700149,
      0.4939614717461,
      0.412044127789293,
      0.261317117428327,
      0.185905564296192,
      0.239741956003994,
      0.507277314395067,
      0.26508197819684,
      0.208788533151032,
      0.413753723266236,
      0.501672453915517,
      0.13462098859506,
      0.489425098438669,
      0.441021205326936,
      0.222687859420914,
      0.0415947085255232,
      0.242527335522853,
      0.569468616910113,
      0.562864793675049,
      0.387983120803204,
      0.36319470809538,
      0.185571246817309,
      0.573547654556603,
      0.695997780881197,
      0.517181708024191,
      0.507521497984184,
      0.273079591275814,
      0.352925949062963,
      0.283880452173544,
      0.340143379740164,
      0.332452840226286,
      0.203398448306223,
      0.556525156274022,
      0.178721114397069,
      0.270562352925282,
      0.136683646303596,
      0.313658473210449,
      0.532759357182886,
      0.170489148285147,
      0.342441587307902,
      0.24737146503201,
      0.283359079491934,
      0.558561693719038,
      0.438886150321383,
      0.384419762733144,
      0.278480456536446,
      0.499405828378407,
      0.534312969988322,
      0.568206773659121,
      0.555670936276063,
      0.518920102459935,
      0.298218007753627,
      0.478024932851317,
      0.582429949909738,
      0.245779064988117,
      0.394719282466826,
      0.547500009707545,
      0.427316257261104,
      0.435948592200493,
      0.371472076229297,
      0.292877029935733,
      0.364640655294979,
      0.255372299172197,
      0.30547686222595,
      0.327374304000392,
      0.438490667269543,
      0.314770326443556,
      0.500712603365631,
      0.446694459617674,
      0.534499639845778,
      0.335398387476088,
      0.431201100038851,
      0.580869948041609,
      0.365790428291695,
      0.35983015840178,
      0.554285507818064,
      0.537687327637884,
      0.459794972427133,
      0.223399823327883,
      0.437728552328873,
      0.469751441944576,
      0.34083658724109,
      0.390087392984954,
      0.422568786763905,
      0.445564467929933,
      0.513824114435871,
      0.480705466832499,
      0.348564248795964,
      0.335949711769828,
      0.560020827517449,
      0.531333366034314,
      0.385587340673333,
      0.434191441581004,
      0.327567928789491,
      0.494026934505142,
      0.378424433520641,
      0.320319000843178,
      0.422092918629261,
      0.393790359670442,
      0.513417245327863,
      0.515749326272253,
      0.412953152410682,
      0.515555352735766,
      0.363889004801123,
      0.334425271361743,
      0.467600690612962,
      0.429484225069006,
      0.281142909276635,
      0.709953444593332,
      0.225185589936938,
      0.255720174344022,
      0.406695163683573,
      0.291049847912357,
      0.515236464870896,
      0.48679688728566,
      0.428981295733433,
      0.390937513847866,
      0.253394549458634,
      0.294391677454537,
      0.0183058034347227,
      0.322880246932957,
      0.274376806078758,
      0.475214559155553,
      0.555397681159857,
      0.198019915074471,
      0.480574792515589,
      0.549003368111649,
      0.380405498304683,
      0.317371112729999,
      0.254408948001834,
      0.522800554098267,
      0.337385275717297,
      0.175535523495954,
      0.349224011700951,
      0.429805241575566,
      0.39876977205021,
      0.433121375408376,
      0.450207663767488,
      0.334077978936006,
      0.394598972176739,
      0.445045141717022,
      0.254404134561769,
      0.318653069932174,
      0.436327844846546,
      0.540577155580838,
      0.329206502092053,
      0.489520468663436,
      0.214096571614539,
      0.293898279006497,
      0.370030806782297,
      0.24287950496621,
      0.579175533223034,
      0.306673718125162,
      0.256003686387107,
      0.349094895843331,
      0.385385301829041,
      0.423105376287899,
      0.437432897499626,
      0.294354935214229,
      0.33604522190647,
      0.596615945255342,
      0.440979891149623,
      0.353537335393038,
      0.306250054290882,
      0.486945435403632,
      0.332217128724616,
      0.495054660298974,
      0.297327472061046,
      0.319185678093229,
      0.243290233986172,
      0.346552364116764,
      0.324557030592664,
      0.280341045214882,
      0.324632504615623,
      0.435200580643368,
      0.627942720160964,
      0.434343705416264,
      0.297704210641491,
      0.314969302230471,
      0.262630534115512,
      0.345502075646059,
      0.447610928046078,
      0.324166934961553,
      0.363352564544037,
      0.311603040000246,
      0.339964361950979,
      0.557792296696724,
      0.467137309017033,
      0.56517580607256,
      0.303704855614151,
      0.3924078623441,
      0.406912312916596,
      0.390281669968279,
      0.497340400228768,
      0.422194394560808,
      0.211094620188305,
      0.486103370649377,
      0.438552505411642,
      0.26168997666441,
      0.377822415274898,
      0.266381515392976,
      0.494526582498601,
      0.433316153654918,
      0.352690370685943,
      0.250276847553145,
      0.459282988380266,
      0.506148187676432,
      0.501062706763584,
      0.509729578485844,
      0.491696755979674,
      0.690142802698679,
      0.495272809291501,
      0.442467926777755,
      0.728658321962559,
      0.479911984363892,
      0.737922686517036,
      0.59914173223774,
      0.464511624556738,
      0.609314599204128,
      0.379107689830772,
      0.461378548419789,
      0.351489848537377,
      0.446910096503009,
      0.40346598139892,
      0.359454054439475,
      0.734604487453729,
      0.321064328973124,
      0.618939055557823,
      0.531202276808567,
      0.379849790629478,
      0.552857562645584,
      0.64962761902582,
      0.45761049522359,
      0.582100967556892,
      0.313503231622172,
      0.29777876284866,
      0.573346376351409,
      0.466810566621261,
      0.35083256810159,
      0.377619435917182,
      0.642476005701067,
      0.365156397863543,
      0.283030658843395,
      0.598430243107415,
      0.327439582261898,
      0.459721082022225,
      0.573879787912652,
      0.20576837817166,
      0.238658104324919,
      0.691948234301837,
      0.413230177644345,
      0.637615306364737,
      0.483384611261285,
      0.364794755998438,
      0.410505942437051,
      0.391270713971635,
      0.457836128088272,
      0.383828063014151,
      0.311048652228567,
      0.412180633208774,
      0.435299002206751,
      0.562904858080529,
      0.51939951374128,
      0.502998510451033,
      0.543961065707029,
      0.397225525493671,
      0.464072568018966,
      0.387061639000753,
      0.435423152603612,
      0.335324719747656,
      0.527669892933594,
      0.389826208200476,
      0.36689331795486,
      0.380572396245169,
      0.487120443687139,
      0.364953646993486,
      0.382478020091947,
      0.434440473626157,
      0.322468466425354,
      0.29201526187039,
      0.528632696357026,
      0.418587991996755,
      0.359544129777011,
      0.467372604410156,
      0.42410130673284,
      0.497912335927475,
      0.303686898144629,
      0.452109243292444,
      0.502441178915191,
      0.502855276481219,
      0.462071943045036,
      0.441897642486451,
      0.321001804221213,
      0.639717261558898,
      0.394890896369442,
      0.489711831696871,
      0.55696207243774,
      0.539511083791008,
      0.527439912304204,
      0.349207607999415,
      0.500076064341053,
      0.535271506633605,
      0.527067169386449,
      0.322369249009652,
      0.49556879153892,
      0.444707602143874,
      0.526971826523702,
      0.222349382204506,
      0.330455243313883,
      0.226596247738082,
      0.173708047014869,
      0.344799216080506,
      0.290093470480046,
      0.327876568578787,
      0.327476184885542,
      0.248450475731841,
      0.339395252162303,
      0.382926954777169,
      0.526890949920112,
      0.243423295056417,
      0.329012751683157,
      0.390247889174673,
      0.517360099213439,
      0.31976800376227,
      0.140938724532352,
      0.384561138303151,
      0.308714120205033,
      0.536098427595474,
      0.701051402441921,
      0.354356385184765,
      0.47780851420128,
      0.116467652880223,
      0.564615544705358,
      0.375868033728366,
      0.54406475071361,
      0.195444138190072,
      0.212307216091718,
      0.443689795396012,
      0.399844175861964,
      0.359419902249559,
      0.409058386272133,
      0.232667547849906,
      0.442237221993014,
      0.528681847216771,
      0.483252245488699,
      0.428515218905409,
      0.32626204788978,
      0.5116158326344,
      0.647815644286737,
      0.288705553943291,
      0.418867707775061,
      0.316908408028792,
      0.540547525006335,
      0.402652739297612,
      0.744035150799895,
      0.546915350501368,
      0.295753236876834,
      0.693187449947356,
      0.580548922328534,
      0.41711591497223,
      0.493518728968031,
      0.45546742015826,
      0.672546668885763,
      0.409657948545779,
      0.447406571432398,
      0.468556037983016,
      0.311800215446876,
      0.643511018587768,
      0.5167401552357,
      0.448497025513353,
      0.371300515035283,
      0.721678606155461,
      0.438914635643484,
      0.330720614053545,
      0.604965704762896,
      0.494663417897018,
      0.369846813045202,
      0.351832007444386,
      0.335044767541445,
      0.43721304930691,
      0.480690650314427,
      0.460656372179637,
      0.330695030731162,
      0.380101898095105,
      0.709269761656794,
      0.464240171743553,
      0.574337565286193,
      0.642657492126868,
      0.327794480878177,
      0.431612410712325,
      0.375524924857848,
      0.420219463140896,
      0.328754186539035,
      0.374657496812078,
      0.463482435080185,
      0.397848454737695,
      0.401868876590033,
      0.542563835378722,
      0.558961242938458,
      0.406402276959712,
      0.403734204360638,
      0.543066010518333,
      0.490232230985213,
      0.379228836059588,
      0.554578115300886,
      0.546987474210037,
      0.59468003336546,
      0.44852249459484,
      0.509125142212498,
      0.445471048986433,
      0.653516050546042,
      0.509976811091572,
      0.4653667230428,
      0.404985327949321,
      0.587152389923605,
      0.508969123784663,
      0.449004713878643,
      0.262857820121349,
      0.614685798477367,
      0.609097603994486,
      0.506486682932446,
      0.391978341470147,
      0.228739034102895,
      0.372592488240192,
      0.609989152942471,
      0.443912127217772,
      0.273377412412982,
      0.316017778916534,
      0.316136079263441,
      0.264422060322092,
      0.29028445511309,
      0.375629703464686,
      0,
      0.582757855050905,
      0.663253794939981,
      0.591964427969799,
      0.495629628402947,
      0.43734274946463,
      0.305646205568478,
      0.407631676070936,
      0.226922078641566,
      0.0262004860677682,
      0.286995048085043,
      0.318043410044125,
      0.297680470188894,
      0.0296442639663405,
      0.292525293064742,
      0.269737226696908,
      0.323281152443001,
      0.486542621445201,
      0.235186944667276,
      0.149943303377828,
      0.0613379772796388,
      0.0397794179468894,
      0.164409068334203,
      0.0708384968275076,
      0.381345457157248,
      0.1570088405642,
      0.739289960622628,
      0.542012247399705,
      0.169014471297518,
      0.554166450016163,
      0.492437183632154,
      0.426397687516814,
      0.414468566831782,
      0.29596405679489,
      0.403118525758029,
      0.4052566057463,
      0.0394046215666278,
      0.611257425875585,
      0.249299361668759,
      0.161099263181579,
      0,
      0.308540624797165,
      0.226891276380533,
      0.416971271954521,
      0.660677602096068,
      0.478238688496605,
      0.169234400495961,
      0.368100180964453,
      0.402052982897272,
      0.14223947281046,
      0.583020906045478,
      0.470944828718357,
      0.583524174077056,
      0.248322578909231,
      0.327631029262902,
      0.214843303890367,
      0.29350990705509,
      0.387790149604651,
      0.357552385243494,
      0.444013763210232,
      0.476277275673781,
      0.490599797048212,
      0.412421292862976,
      0.505373957900763,
      0.33706196935158,
      0.484683173257688,
      0.568786464063864,
      0.462568564970082,
      0.400038593421438,
      0.258158357216984,
      0.447708706987805,
      0.276604855799399,
      0.200832673928303,
      0.27743469708875,
      0.344824265509588,
      0.388270500950652,
      0.227512545715494,
      0.656037568718498,
      0.528107829359215,
      0.117402346183622,
      0.489716275761866,
      0.422407610116289,
      0.292017886335266,
      0.0218999468091155,
      0.359341640804823,
      0.483127446600966,
      0.359840814703824,
      0.340271927815038,
      0.468079843919891,
      0.366665748277378,
      0.648632985234102,
      0.437131677772883,
      0.578372428133708,
      0.393011178060366,
      0.277888407707746,
      0.357777099656396,
      0.263899093121775,
      0.316464960941432,
      0.404081969896601,
      0.2227511692641,
      0.530554803768421,
      0.122982535990094,
      0.305306015011131,
      0.203375548814249,
      0.345328336338134,
      0.565859405864806,
      0.331338581234821,
      0.317051749892351,
      0.416610501709774,
      0.362956367372267,
      0.590168489503497,
      0.525649405590413,
      0.514655155200158,
      0.372589837341823,
      0.463956661192487,
      0.515665559007893,
      0.530339575106238,
      0.423065244200271,
      0.593099383626349,
      0.382024743551129,
      0.497460164354246,
      0.610798039580393,
      0.438768596786768,
      0.414479454818753,
      0.550632479496295,
      0.41786587611569,
      0.428579793860085,
      0.551498560858184,
      0.389232084721119,
      0.354127114633243,
      0.35747990310045,
      0.407294391081383,
      0.575218087107976,
      0.547389650813497,
      0.553626422355981,
      0.547438446182078,
      0.550170807414697,
      0.497845259209094,
      0.365030069735775,
      0.583115035844234,
      0.675274753604567,
      0.445873318567463,
      0.433963740828812,
      0.45129980201621,
      0.519501762235703,
      0.652876200854181,
      0.463649370385367,
      0.590457891379014,
      0.589598651001661,
      0.442987841224468,
      0.343487471351448,
      0.372833005474183,
      0.381508310426863,
      0.536800380598252,
      0.497416243493731,
      0.605932427312232,
      0.357960697827408,
      0.578126698680329,
      0.596568923364818,
      0.563839946092031,
      0.566976769727908,
      0.63082006879596,
      0.453437474702912,
      0.494178104056838,
      0.345172121477473,
      0.634577792620919,
      0.496019143791411,
      0.566238605594837,
      0.496204645000925,
      0.596665190118008,
      0.45867908901148,
      0.389592453968495,
      0.397323544044408,
      0.710853648138741,
      0.728669467994158,
      0.606057795163466,
      0.371314810683038,
      0.285317232869304,
      0.490538811546648,
      0.680958068348438,
      0.687158913270682,
      0.585230152121278,
      0.64949276860368,
      0.65647047975491,
      0.464688591923672,
      0.275364258998182,
      0.265856164661562,
      0.0597710754298709,
      0.288030958577962,
      0.282263559251873,
      0.640205829460297,
      0.53786618149231,
      0.39046244772912,
      0.72736322242436,
      0.703424178259043,
      0.346511386120018,
      0.522863968283926,
      0.294609165756299,
      0.55269181486968,
      0.356447987146702,
      0.206623632304744,
      0.521116461326553,
      0.450498672942724,
      0.420034862253989,
      0.54252053290194,
      0.434172534576017,
      0.269310940830703,
      0.473915240888752,
      0.535849303490754,
      0.27862344840783,
      0.319088202658326,
      0.551329483849725,
      0.549847161890028,
      0.489921477342627,
      0.663972358594395,
      0.277751113105415,
      0.278864218524139,
      0.359373144156162,
      0.257661087600905,
      0.672862031740992,
      0.377654040780832,
      0.270437289807869,
      0.363463563881209,
      0.331759150298454,
      0.480566753950853,
      0.658130909966313,
      0.550458117883739,
      0.411376407573039,
      0.703546699230959,
      0.462672487456624,
      0.568880883138206,
      0.34386890567411,
      0.487179583956508,
      0.279504659533832,
      0.491621532239502,
      0.42958052784318,
      0.364040860026112,
      0.267153869526652,
      0.561114574493127,
      0.398019950364527,
      0.361887146171823,
      0.329001288241113,
      0.344603512044732,
      0.726966167705999,
      0.415033833185158,
      0.367496604875434,
      0.325643853580528,
      0.523866465780662,
      0.395751421278097,
      0.762433577744165,
      0.521812418454603,
      0.373314586744487,
      0.348704432546768,
      0.491426005093546,
      0.600092279584427,
      0.605010798955609,
      0.359942430020909,
      0.381926280036641,
      0.405407502801659,
      0.706753774613167,
      0.458277135993948,
      0.558813485103975,
      0.451275297823768,
      0.292481729776201,
      0.514681491025944,
      0.451738699711991,
      0.534231546224873,
      0.451315884930066,
      0.331849304943093,
      0.665488373209394,
      0.448669350649755,
      0.639140114159459,
      0.46842976242788,
      0.636024614133769,
      0.487190618541469,
      0.586981920250945,
      0.482468464662175,
      0.419710812686997,
      0.72299138985368,
      0.528441273120453,
      0.571223439295415,
      0.632049532716339,
      0.582525609088844,
      0.70110565238915,
      0.738845782406812,
      0.490199333425426,
      0.787780512590255,
      0.41836725791181,
      0.288296275714936,
      0.378181808426501,
      0.550059259810402,
      0.510731997468442,
      0.518226411014964,
      0.540183100040535,
      0.66113216487134,
      0.655865306371349,
      0.544159864894816,
      0.447950500471954,
      0.601711364015084,
      0.580293988246308,
      0.464572116110473,
      0.612735378680977,
      0.487071075753405,
      0.51887500099311,
      0.603708021241344,
      0.497273280815348,
      0.40066716718466,
      0.36454316591739,
      0.50406340538482,
      0.415833780489716,
      0.34948763032038,
      0.578451124571988,
      0.355832909465827,
      0.577202310136277,
      0.289480818431728,
      0.253392612811334,
      0.299730091907069,
      0.768547893730708,
      0.468083717621551,
      0.533098099270574,
      0.449677736634572,
      0.39545170462771,
      0.419942094690371,
      0.532747668274901,
      0.432264607594936,
      0.535239525792285,
      0.420586626947192,
      0.443546571896871,
      0.506715494291198,
      0.384868970767123,
      0.509811870072084,
      0.528471382416142,
      0.690395729991591,
      0.485796553409829,
      0.562656180212818,
      0.589866489383517,
      0.507076201743497,
      0.436413720027745,
      0.583689488411141,
      0.602893740537641,
      0.562588378806171,
      0.487977361038968,
      0.499678780414046,
      0.463803889402123,
      0.59594999320119,
      0.544003585149235,
      0.505638417876731,
      0.497405406433397,
      0.570090991372368,
      0.535126467801615,
      0.559679437730596,
      0.584647035358742,
      0.573607154329574,
      0.543646658943592,
      0.543205102503748,
      0.536711316231708,
      0.398351644939187,
      0.788562461035536,
      0.480664494866053,
      0.553597480027159,
      0.43344520806526,
      0.657033598535622,
      0.599615686671698,
      0.541751548232947,
      0.577568531968234,
      0.570593306698419,
      0.537738855453901,
      0.530849137666554,
      0.508923903664781,
      0.577049069724524,
      0.510868163114018,
      0.47987871205819,
      0.427092317198461,
      0.51913892337052,
      0.457053644616613,
      0.546492471140253,
      0.48066946705276,
      0.434641042420107,
      0.293439882738591,
      0.472437317474291,
      0.26151014787447,
      0.319811136872237,
      0.474128607403133,
      0.258391015681052,
      0.40662305769425,
      0.399322516028567,
      0.523958321524683,
      0.241252677336704,
      0.517750928117478,
      0.416808933526639,
      0.563220620461416,
      0.529861293519094,
      0.255180627012692,
      0.555785111822366,
      0.469972862435101,
      0.60911612479805,
      0.534269670696477,
      0.460936215363019,
      0.374737192649955,
      0.144493831598429,
      0.582984502693889,
      0.443259407670046,
      0.609455733237553,
      0.430550760118723,
      0.429851288122584,
      0.42459266673277,
      0.578271864239647,
      0.55262166307718,
      0.569452515732367,
      0.268732759314598,
      0.430927010089274,
      0.64158166893718,
      0.587430489918747,
      0.489350795082682,
      0.46852595533223,
      0.552240646153715,
      0.598372275460167,
      0.45222510924299,
      0.539379049455268,
      0.376665307839617,
      0.464058637517438,
      0.569068132962379,
      0.701809034392069,
      0.610605711608359,
      0.329437922285864,
      0.738987744432523,
      0.67625510105396,
      0.585025646034376,
      0.607483796372272,
      0.57857338178469,
      0.616362405939723,
      0.607312373968851,
      0.502931140344856,
      0.47807264818677,
      0.573191553456751,
      0.576626603584839,
      0.542816118467418,
      0.468365580301844,
      0.441816775573226,
      0.786516750291534,
      0.524691539045011,
      0.439735317644583,
      0.663786769664974,
      0.502999516232718,
      0.50631708998348,
      0.339882120824999,
      0.38312965953398,
      0.396795550981368,
      0.511590433685316,
      0.556272021287574,
      0.366659292519297,
      0.3951041069846,
      0.709513940869705,
      0.566999650299492,
      0.614524716920355,
      0.672705503229525,
      0.364911288044289,
      0.578692100242266,
      0.638363732291453,
      0.559975610578885,
      0.437234887992191,
      0.393707595461028,
      0.482030145700428,
      0.618655740216265,
      0.439794347364395,
      0.602671159314857,
      0.603355316257019,
      0.597457770647671,
      0.616444699983057,
      0.657849439221724,
      0.649913690469342,
      0.564917038084895,
      0.537953929512041,
      0.606216349959078,
      0.559076508721865,
      0.534650234593912,
      0.40023158458179,
      0.418056007032986,
      0.686586715291475,
      0.643841061716605,
      0.688952522172385,
      0.60273687199998,
      0.681319470128565,
      0.580728727203141,
      0.631445381499705,
      0.617344606766656,
      0.704710315854241,
      0.458562354086236,
      0.605405416192713,
      0.560658950172784,
      0.338941904572955,
      0.564835432035309,
      0.56868253719708,
      0.522939299000871,
      0.368517738171169,
      0.439686969340127,
      0.518871429189851,
      0.481939300897578,
      0.358799595215775,
      0.499841333830946,
      0,
      0.535425985057769,
      0.625873070318852,
      0.557736362032425,
      0.461029613597236,
      0.448358850245208,
      0.27454844533054,
      0.438989506567542,
      0.153992639441346,
      0.0216692261273653,
      0.296742917795996,
      0.35737663006051,
      0.308694408798978,
      0.0300001974532051,
      0.255526830870916,
      0.315653664192183,
      0.271725125037175,
      0.465720605094803,
      0.210335271700021,
      0.196496014321774,
      0.0824485312734623,
      0.121792577901823,
      0.158950540646279,
      0.0551015621755277,
      0.397987192657861,
      0.182674138575291,
      0.664931098291257,
      0.265287386700995,
      0.148880601840506,
      0.520809690643148,
      0.459282555567431,
      0.38453212125224,
      0.341757168445243,
      0.264857278283891,
      0.46280750972946,
      0.195623191121989,
      0.0346334256193338,
      0.422952679371159,
      0.244721667158855,
      0.236306541591915,
      0,
      0.344969815907992,
      0.208075696445343,
      0.126442190019626,
      0.572162351042978,
      0.410658870746622,
      0.216859856667787,
      0.388070054632351,
      0.394405867914835,
      0.1473360043291,
      0.470311663080281,
      0.488097378341715,
      0.569576514551481,
      0.262842151212427,
      0.284543047812527,
      0.228373593559034,
      0.356600677719472,
      0.341418133121394,
      0.34343358400487,
      0.444818965832354,
      0.47528922482388,
      0.48260517750365,
      0.379216791567912,
      0.491659729379118,
      0.32128195367673,
      0.500429723646889,
      0.594565994998571,
      0.462041917826535,
      0.59292608573563,
      0.215169467262322,
      0.41941884580821,
      0.207345772195142,
      0.223176950040613,
      0.442329474528289,
      0.306517963048534,
      0.396713551481224,
      0.213248196457004,
      0.607142391358138,
      0.288190152383075,
      0.113069238524766,
      0.467033715784121,
      0.198926368233719,
      0.283179584717787,
      0,
      0.336224976235579,
      0.554925121271052,
      0.296947314115729,
      0.34413124063262,
      0.537773642814415,
      0.328953897629737,
      0.642246597623085,
      0.354730609960286,
      0.450730922331157,
      0.336320551875709,
      0.531791066755489,
      0.377234315669156,
      0.26291800651468,
      0.288414668913334,
      0.427654717681473,
      0.238948413881124,
      0.511389109460179,
      0.169448915912891,
      0.280418614069737,
      0.195233788411091,
      0.189360790688848,
      0.448728447053423,
      0.29171003116037,
      0.312073738563584,
      0.548385957668138,
      0.325787141751069,
      0.511114702122589,
      0.492475783333932,
      0.577970096226495,
      0.483147992107703,
      0.349568373565988,
      0.500103070056265,
      0.520714586608487,
      0.478429219077508,
      0.505557544632162,
      0.377315546783679,
      0.538539360499821,
      0.578753719199247,
      0.483943576167046,
      0.413862762393883,
      0.4716142858342,
      0.394277327612261,
      0.396503818277969,
      0.54922167620732,
      0.376252325986613,
      0.446421178656227,
      0.343488200074119,
      0.374988574398842,
      0.526890595088249,
      0.535574435318437,
      0.502995304381927,
      0.501555584683621,
      0.593499152937164,
      0.440838409006775,
      0.375607600419609,
      0.536730146566275,
      0.550115604199305,
      0.418956595129716,
      0.507609026053825,
      0.489269825004776,
      0.537489800665914,
      0.600601716812482,
      0.433397243132529,
      0.581396332299458,
      0.59673220408059,
      0.445571189832716,
      0.310757975136801,
      0.331186669390048,
      0.441645839996626,
      0.479602499527627,
      0.43224747080066,
      0.543610832043634,
      0.382710603836636,
      0.536643812848415,
      0.577449745829299,
      0.558296286747639,
      0.498951566737863,
      0.636511447108787,
      0.412857893300067,
      0.540532042809048,
      0.543119918326589,
      0.667298008553227,
      0.530609554928725,
      0.466053950059392,
      0.541554755196998,
      0.566821233150594,
      0.470688420003385,
      0.467711151612856,
      0.42688444408774,
      0.655800317513869,
      0.705629337304123,
      0.589594633284687,
      0.321032520916077,
      0.340541772794312,
      0.456681787917793,
      0.650804477027098,
      0.631715551237035,
      0.502118470151929,
      0.64803946213202,
      0.572006571244449,
      0.461402292603263,
      0.195634310990878,
      0.244600219547545,
      0.00824741003537976,
      0.361034202022148,
      0.196964389630632,
      0.515340776859505,
      0.437614714904842,
      0.356142826675304,
      0.689162915371678,
      0.59612978727136,
      0.287798944369709,
      0.511782702871404,
      0.305778257825136,
      0.526650316872608,
      0.38058220311527,
      0.240221646196092,
      0.56904456591146,
      0.416410559254771,
      0.448011218182876,
      0.544516173285704,
      0.398075617528412,
      0.370893433487349,
      0.344359477463857,
      0.371690323230867,
      0.25927670630375,
      0.279534563283265,
      0.507510263991849,
      0.422525392020156,
      0.459956254564677,
      0.553526068140885,
      0.285814514881515,
      0.328011418617613,
      0.32537750069239,
      0.321130890264636,
      0.548521054182857,
      0.335824843106301,
      0.253583688449592,
      0.352884448622508,
      0.348608079176054,
      0.508612564880802,
      0.557211200407225,
      0.509831543472522,
      0.368919379099673,
      0.573722796318868,
      0.457067009477601,
      0.541850784088213,
      0.329366044742553,
      0.359799416966839,
      0.257399239270218,
      0.495176763650441,
      0.43400668603314,
      0.319720340399261,
      0.271772214627087,
      0.583629582165794,
      0.57816273240768,
      0.429493700187317,
      0.337790752001352,
      0.352072913532339,
      0.534575005325053,
      0.427787468932442,
      0.374466480228328,
      0.382561127038937,
      0.480975623124898,
      0.377703440944408,
      0.732912252742852,
      0.509672009111819,
      0.334795610489454,
      0.371118167701181,
      0.487402357369443,
      0.577667824361141,
      0.577612552859423,
      0.375606463047819,
      0.529140941168021,
      0.380103522964477,
      0.695346534972064,
      0.465890517066478,
      0.506010100600279,
      0.410349329454065,
      0.27371761362449,
      0.558317790553835,
      0.486361266975997,
      0.493747328847908,
      0.452337302839056,
      0.412384037778118,
      0.655796328380025,
      0.436068190158167,
      0.619335380128273,
      0.444415724315772,
      0.616177510087159,
      0.48609475720866,
      0.407240784200884,
      0.578748766947092,
      0.384716931423256,
      0.617604874798901,
      0.492143585515089,
      0.662853039265854,
      0.550963830603563,
      0.610805814380325,
      0.469277262953287,
      0.813521438146041,
      0.417509965111507,
      0.712678493045753,
      0.461012788374027,
      0.278031449379357,
      0.30166023877037,
      0.522907792078352,
      0.555258861743796,
      0.491592678970398,
      0.449154747849912,
      0.870099586729978,
      0.658268156813378,
      0.49557283864433,
      0.395038102733134,
      0.543120483021431,
      0.579521284346467,
      0.393114691056749,
      0.61484466159758,
      0.579230451654368,
      0.514599635283747,
      0.562112157194755,
      0.503718554393636,
      0.507119676356559,
      0.548859918198405,
      0.376222206203548,
      0.54728709432306,
      0.325030345885188,
      0.571839863030398,
      0.371344089617183,
      0.614627766543648,
      0.351857404302124,
      0.269901164313686,
      0.27922725460549,
      0.746624977136768,
      0.706411631391094,
      0.465205823493494,
      0.424671330909159,
      0.377273567048933,
      0.349827384650624,
      0.647720067835187,
      0.385253115221022,
      0.685240923721439,
      0.403852196145676,
      0.419973095944949,
      0.486163112502223,
      0.327814739199655,
      0.479208378862522,
      0.666658176821178,
      0.661457798774747,
      0.680503440508816,
      0.663699963609464,
      0.550608033066696,
      0.486440126065964,
      0.441380925050088,
      0.584208919816318,
      0.570974984995766,
      0.513130238254372,
      0.418931782359401,
      0.429835126175401,
      0.454749047758026,
      0.567076926881358,
      0.656911965921744,
      0.482877728665685,
      0.574065995759214,
      0.563157097931292,
      0.449730291706537,
      0.506954957595978,
      0.465004573098282,
      0.731159887798511,
      0.516040605175356,
      0.499772208789089,
      0.507065177051849,
      0.368494350493356,
      0.767886784908432,
      0.525213657740838,
      0.556768124778429,
      0.395129452811654,
      0.658800318253105,
      0.538688070569187,
      0.447883331302476,
      0.404028003168091,
      0.548378488523065,
      0.481279593921427,
      0.653461621860534,
      0.489438794914895,
      0.515394473820351,
      0.348518642715048,
      0.4824590950479,
      0.44071328709815,
      0.510767207573116,
      0.467942558875014,
      0.564828417014426,
      0.474041752955524,
      0.423185152524384,
      0.278067338673977,
      0.46440993796112,
      0.284894531461429,
      0.337976879183183,
      0.632363587787763,
      0.235030459857934,
      0.487460086284615,
      0.427524051652231,
      0.426181594969293,
      0.350153931316075,
      0.55578388278282,
      0.42796212577429,
      0.484790876506848,
      0.545583299387279,
      0.254461768521328,
      0.66833707323946,
      0.451373642049135,
      0.583411615320805,
      0.525253471066402,
      0.514692066711798,
      0.381852714139599,
      0.189073223017591,
      0.549620039794205,
      0.326462192607453,
      0.643941102619897,
      0.475930551990219,
      0.387590353308321,
      0.445532695235511,
      0.544450857250009,
      0.480442179686551,
      0.687818650578692,
      0.403800205340121,
      0.425678986422549,
      0.652821877974188,
      0.683687658793788,
      0.453078670745768,
      0.510030357092153,
      0.605875300849329,
      0.543739753578699,
      0.419207416569564,
      0.660357219723861,
      0.427572268578568,
      0.410849231767124,
      0.541770102053002,
      0.569030322000289,
      0.492019243044818,
      0.32821910920975,
      0.682392775239624,
      0.655873722032506,
      0.479503945443052,
      0.786030315906425,
      0.626085834894845,
      0.525447719069568,
      0.615110369034172,
      0.486200606372376,
      0.4436273344532,
      0.57776784561541,
      0.519481460291058,
      0.559679258955852,
      0.435529236983272,
      0.442848870219506,
      0.58590747286089,
      0.47353150139671,
      0.462022364137148,
      0.53580402770042,
      0.532152863503237,
      0.534510899228858,
      0.367203003480053,
      0.387318569942113,
      0.390965852542708,
      0.432539849890429,
      0.587487388415335,
      0.526799493413732,
      0.419464091593214,
      0.620866292577378,
      0.554418355727301,
      0.580056869388067,
      0.589775044469058,
      0.39613039548537,
      0.599969266104883,
      0.674166437178587,
      0.658082961585939,
      0.451255513957029,
      0.382830944515624,
      0.639032909809801,
      0.604249921117953,
      0.482912626011444,
      0.492185915847759,
      0.64625555003295,
      0.655243450865392,
      0.702476451930868,
      0.686899387444649,
      0.672639717809474,
      0.594209028966761,
      0.504102723744907,
      0.589570927144773,
      0.521576146596173,
      0.531918400813406,
      0.396379351653931,
      0.366893189732917,
      0.736191924578752,
      0.744801429731521,
      0.59154213345844,
      0.669609278150235,
      0.662467451981804,
      0.603310674990494,
      0.676633594542032,
      0.675115326629805,
      0.628803962646557,
      0.410588602576504,
      0.587276122770203,
      0.520229863865565,
      0.313520906748412,
      0.598837627341615,
      0.474049566179436,
      0.544601179805792,
      0.338517518198038,
      0.422829962234346,
      0.552266940006341,
      0.467999889916814,
      0.352263228566968,
      0.482401722483214,
      0,
      0.26541134743991,
      0.283416507432371,
      0.313051847375657,
      0.125776572764304,
      0.309627523644401,
      0.165709494671014,
      0.387033700501305,
      0.180390769162507,
      0,
      0.305474740815142,
      0.240256972624076,
      0.337874586558736,
      0.0408278356916808,
      0.199447247397898,
      0.338956376207845,
      0.236371253163661,
      0.320677382721919,
      0.239220812054326,
      0.0296623511646719,
      0.0313830858802625,
      0.121925436133107,
      0.167428685408553,
      0.0715745403038231,
      0.311668808736549,
      0.127740880260535,
      0.339293586575881,
      0.321695277457676,
      0.138466075400231,
      0.12632212807227,
      0.122781696065478,
      0.30294039234302,
      0.228761630739559,
      0.0942757920318969,
      0.478827727270347,
      0.203955677238968,
      0.0362048137228121,
      0.358305546341764,
      0.0314948172423999,
      0.339662052905305,
      0,
      0.211288231748504,
      0.266475327623721,
      0.100196507836332,
      0.309145824937813,
      0.18693364426471,
      0.25688785997056,
      0.436194680648998,
      0.320255268806953,
      0.0794511105238987,
      0.289468403791348,
      0.402691787998795,
      0.605617865152798,
      0.242999495899024,
      0.347042477350588,
      0.267683698109016,
      0.359197521015065,
      0.353549382357319,
      0.222699595480446,
      0.454098739054601,
      0.305229621343446,
      0.461370683506068,
      0.346210249635782,
      0.459426432404886,
      0.352891936452803,
      0.442628582336215,
      0.611938987004703,
      0.381686369853866,
      0.650766596313248,
      0.249995615628983,
      0.35189817225195,
      0.224797271344962,
      0.236235049454491,
      0.466379348526748,
      0.384150954642437,
      0.377058516539167,
      0.211734955379242,
      0.32092758762256,
      0.257403871361144,
      0.162178141367261,
      0.444715508972977,
      0.190003929006185,
      0.255908839550079,
      0,
      0.244608292467012,
      0.567622412542521,
      0.257876857400854,
      0.374486897825849,
      0.820477049565946,
      0.240139042159696,
      0.557855118637537,
      0.40733575648025,
      0.298748943215365,
      0.35118847873656,
      0.601665400843342,
      0.366127128251945,
      0.201863424187846,
      0.26595241541389,
      0.311542597218968,
      0.211870767228148,
      0.531004570217211,
      0.17702957388413,
      0.214366252223374,
      0.16887077599303,
      0.165981046494634,
      0.475936574809517,
      0.176910500802896,
      0.317384114010951,
      0.50509266250934,
      0.22475018098199,
      0.531824397932175,
      0.307702372300615,
      0.430234152274652,
      0.532199282601829,
      0.294609696334816,
      0.438402459925689,
      0.389262961606886,
      0.522161920217351,
      0.488583614693765,
      0.364619112924033,
      0.513859309762333,
      0.574953161204841,
      0.381920506462047,
      0.376654221740894,
      0.371708926671494,
      0.375272393095096,
      0.39004268069353,
      0.376462561561962,
      0.283457768624897,
      0.472806465570661,
      0.213398164450479,
      0.534326337700611,
      0.319815110604238,
      0.393629527292123,
      0.326259192164016,
      0.301744760961955,
      0.607238121024389,
      0.385127750650784,
      0.313549863188407,
      0.33881168310568,
      0.336147658628381,
      0.366819221823814,
      0.457114435020865,
      0.441256832669659,
      0.501437477831031,
      0.329460216795927,
      0.333004399326614,
      0.434237319423226,
      0.330801947695884,
      0.363556711339557,
      0.455352396483755,
      0.336888179349826,
      0.408018081683962,
      0.318099634323667,
      0.4571120120789,
      0.274424981444069,
      0.41217504738802,
      0.503294526476544,
      0.581193922362322,
      0.556076514855745,
      0.348316997815183,
      0.27922832434186,
      0.479505568698003,
      0.493610750478866,
      0.649137597854067,
      0.424112861541197,
      0.417377866294314,
      0.391339304527448,
      0.467785091453341,
      0.550272444511672,
      0.441254967591761,
      0.378926844093955,
      0.342335247682678,
      0.449174763824218,
      0.450590008162841,
      0.328497070223754,
      0.262239633503014,
      0.32366461134836,
      0.303295112301955,
      0.466809706300821,
      0.25282162558282,
      0.321826238377568,
      0.501284384339304,
      0.443734473815346,
      0.608288107049061,
      0.164685780108378,
      0.227175094415108,
      0.017345137312218,
      0.338726178235712,
      0.230531198139556,
      0.234695663245644,
      0.402555481417326,
      0.245159539328968,
      0.434344580077038,
      0.454386033035418,
      0.257095851362433,
      0.553258486112345,
      0.227449457745783,
      0.582352056408374,
      0.346423902009449,
      0.263597161385866,
      0.54365419824506,
      0.429390137481632,
      0.467655620014402,
      0.46415458688689,
      0.371365572824257,
      0.366640290856169,
      0.231934688655785,
      0.334465565856084,
      0.275558805232587,
      0.272854061401513,
      0.33885482406429,
      0.333176073170351,
      0.372328609081195,
      0.466555876412659,
      0.588667410044539,
      0.346234693159211,
      0.364934089063487,
      0.323085964995363,
      0.367490563936183,
      0.201044255591723,
      0.281786575142978,
      0.369736006268695,
      0.390592295347927,
      0.43413829487248,
      0.528488451469639,
      0.422637872398814,
      0.334630490290728,
      0.468486757345996,
      0.447327389057163,
      0.45455027180178,
      0.646473037678503,
      0.311935868711244,
      0.373682900875107,
      0.526870877066073,
      0.322386877265972,
      0.300036443473454,
      0.286850807172596,
      0.54759088601027,
      0.56167553897707,
      0.344978998153299,
      0.338682468207085,
      0.362653903951432,
      0.436599480799434,
      0.523462157250463,
      0.31522753980844,
      0.362305566925968,
      0.334704452488293,
      0.3661207107046,
      0.519094574093689,
      0.416145785380887,
      0.369795578443532,
      0.390409226908995,
      0.342472930441313,
      0.475915602364236,
      0.408729899646575,
      0.326754755144806,
      0.488281481900293,
      0.344783878225207,
      0.356769019980515,
      0.416177039139972,
      0.590385857853415,
      0.23159222120056,
      0.223323968963104,
      0.551853991869577,
      0.394313032746899,
      0.314045841903588,
      0.43777097979168,
      0.625075292155058,
      0.50555943776005,
      0.452025475200072,
      0.365197689410571,
      0.307956666793335,
      0.48156646316698,
      0.509657234625412,
      0.347351239339177,
      0.515087561398464,
      0.383102648575828,
      0.590319314982293,
      0.507278896330908,
      0.689190312770449,
      0.391795223432529,
      0.68657053783144,
      0.390190844122495,
      0.693007308345207,
      0.279315449546667,
      0.345893986142712,
      0.363952641346561,
      0.284313661271284,
      0.291726720188074,
      0.301377804273697,
      0.559674795738326,
      0.508579503603601,
      0.383976842811147,
      0.816886945705573,
      0.655167933617724,
      0.443975593991554,
      0.355462462384607,
      0.463117945573068,
      0.513809103146014,
      0.365427266747853,
      0.495414043101709,
      0.52277700978106,
      0.496763251775226,
      0.458548158052189,
      0.520061522601181,
      0.57168361963118,
      0.670025561955921,
      0.334540286624163,
      0.641774216906358,
      0.397199349347946,
      0.589107787648919,
      0.454307843466885,
      0.608586552298694,
      0.369307037522008,
      0.242231289563971,
      0.291713130817398,
      0.587282651470086,
      0.740986527347402,
      0.421526621735071,
      0.40517969019187,
      0.409963295401406,
      0.341291312049751,
      0.557432339434131,
      0.321470335734142,
      0.691134706499493,
      0.35336529006833,
      0.586371538377214,
      0.399205905084748,
      0.270132570503523,
      0.476769283026185,
      0.645343980415967,
      0.547339179637023,
      0.779460863768432,
      0.716983288740725,
      0.416557821792485,
      0.471395594007085,
      0.413915084530714,
      0.518330734445706,
      0.304279142639956,
      0.324171061201823,
      0.2993220144067,
      0.353284140233692,
      0.357171068120216,
      0.302463286869339,
      0.526605892645925,
      0.371449348818865,
      0.463854288504688,
      0.595622360670567,
      0.340369985403632,
      0.374561223611741,
      0.348301000131072,
      0.680312878264226,
      0.472882680711232,
      0.251989798978415,
      0.524523351900415,
      0.38038404522185,
      0.467015442839824,
      0.568860300057914,
      0.435637338006132,
      0.329124177044857,
      0.596539562856987,
      0.417720546381721,
      0.394664430926031,
      0.304893128135125,
      0.486465440934045,
      0.487869476242986,
      0.516405514049117,
      0.482770462724375,
      0.361478356169413,
      0.309512647621452,
      0.42564415799774,
      0.427056419669765,
      0.431963456466466,
      0.402480926437731,
      0.327238650523441,
      0.292963010797016,
      0.206060321288474,
      0.210940145440677,
      0.29450816793757,
      0.295054083876877,
      0.253372427094178,
      0.544602042832099,
      0.207333303869827,
      0.504656063152856,
      0.524338856077261,
      0.288180697795724,
      0.456880722982465,
      0.338936547418908,
      0.368567546498253,
      0.389645204722669,
      0.596498648420904,
      0.256076688881075,
      0.480893672393367,
      0.329765005243462,
      0.53228074825782,
      0.430038795832266,
      0.341387603359367,
      0.521362954986159,
      0.163817094312012,
      0.576075106817354,
      0.305181306951612,
      0.611958095974321,
      0.34029440523373,
      0.218662304080024,
      0.45236043617833,
      0.360532822546696,
      0.381545831900861,
      0.665609359970747,
      0.42255517789109,
      0.444905364252324,
      0.645466632340034,
      0.5947304596092,
      0.357516241427233,
      0.455406355761689,
      0.749449277072389,
      0.546404613760065,
      0.333066257188341,
      0.660500835006837,
      0.367399247067336,
      0.42994523912253,
      0.434598746707117,
      0.482745432173577,
      0.353144526822602,
      0.419687184194866,
      0.485140997270098,
      0.559445430106646,
      0.567738014267852,
      0.747579998740257,
      0.699700138694311,
      0.375528217713294,
      0.595935625201915,
      0.426850856306326,
      0.383257887581762,
      0.528743436858353,
      0.314617507651527,
      0.608910996533817,
      0.411442114282239,
      0.422656877506257,
      0.449659441900057,
      0.44485933724157,
      0.433400483310662,
      0.488777788473971,
      0.375297918368596,
      0.260185575554399,
      0.459444246374117,
      0.407194494725481,
      0.388917870192229,
      0.404173625737639,
      0.481663859497195,
      0.439512816375071,
      0.443863045690821,
      0.4614443678335,
      0.558569594893657,
      0.396327571844923,
      0.461503971462374,
      0.563390525103092,
      0.538738406576176,
      0.647068211904666,
      0.706097861251739,
      0.404160959709143,
      0.405814992840987,
      0.647829265349404,
      0.510523485352578,
      0.480593845298957,
      0.407434087812948,
      0.52227304080053,
      0.434905074035531,
      0.58088485975535,
      0.558829161675409,
      0.499167088674208,
      0.424476543227885,
      0.510004545747199,
      0.51251863901564,
      0.429118169092549,
      0.413994739554244,
      0.406430347742538,
      0.364408346505518,
      0.67262081341072,
      0.649621852754713,
      0.395423831146346,
      0.613472043702704,
      0.377626383350531,
      0.649841606604951,
      0.620606541997355,
      0.36959425021338,
      0.472421276000363,
      0.38587819350864,
      0.50068030786328,
      0.397893253390631,
      0.307945702782283,
      0.41550136090274,
      0.336101370524761,
      0.508383940283865,
      0.280289314648327,
      0.324202669464569,
      0.336194441746478,
      0.368209686075764,
      0.307101358083888,
      0.383620660600094,
      0,
      0.251903125043478,
      0.243635708061244,
      0.458493516932926,
      0.104112692242997,
      0.272681867766202,
      0.128539853211937,
      0.433484020770092,
      0.333615056626783,
      0,
      0.427833199595164,
      0.20614837142221,
      0.21483112924603,
      0,
      0.153454143792666,
      0.342029239023735,
      0.258924962397222,
      0.240642753764859,
      0.250814810802175,
      0.00814402812796912,
      0.0497419455799518,
      0.0922296381768295,
      0.153561087757447,
      0.119244821782775,
      0.260972552162188,
      0.144632651297951,
      0.302817169471229,
      0.303191566452913,
      0.158051976482706,
      0.184452129419929,
      0.124808955577818,
      0.302072097685436,
      0.279959261118675,
      0.126993345320326,
      0.442206258509735,
      0.37100067789194,
      0.051240110185221,
      0.313459903913416,
      0.0106120633972604,
      0.336960443840333,
      0,
      0.152252614435387,
      0.264854593276098,
      0.144395913272746,
      0.296316743602649,
      0.191404416058846,
      0.252737688447812,
      0.395096283901893,
      0.490425222009783,
      0.107146086017554,
      0.391385747072466,
      0.437193074361781,
      0.6633857242494,
      0.238449487230886,
      0.350284713695807,
      0.318605915906624,
      0.362307635661155,
      0.373937438824112,
      0.297584365990781,
      0.427600532348502,
      0.437390650885799,
      0.440745232609774,
      0.528852720837066,
      0.427023990938969,
      0.414815246811858,
      0.516994887245039,
      0.404825659215436,
      0.38944440164932,
      0.381857739566472,
      0.378108670565772,
      0.435147079599779,
      0.252129565383638,
      0.187319086070257,
      0.266073979754437,
      0.377604245310767,
      0.395831975160574,
      0.248585591328433,
      0.311700314447231,
      0.249196633759661,
      0.158646721586072,
      0.420722604806233,
      0.232196622290673,
      0.260705184173,
      0,
      0.182853542933514,
      0.499600970451436,
      0.237085498439848,
      0.514296831140676,
      0.776174825697907,
      0.201118839590248,
      0.572430976353851,
      0.36702634121764,
      0.291269079050107,
      0.484392091412858,
      0.345125072062984,
      0.388958322243657,
      0.200890306108209,
      0.297002944576785,
      0.305308751122094,
      0.188753918909709,
      0.55524490663838,
      0.184067838186865,
      0.190068340264244,
      0.139379217853138,
      0.17349414283502,
      0.472940067835754,
      0.172045667159525,
      0.329501097332781,
      0.288079411118915,
      0.174998293682675,
      0.520523154884385,
      0.369824520274109,
      0.300437466638798,
      0.410528063830657,
      0.44712491817522,
      0.464027342022847,
      0.378187311140856,
      0.408960345306198,
      0.505265382115916,
      0.38364004215819,
      0.448259567024568,
      0.552550401938156,
      0.336440074048227,
      0.396782103474242,
      0.560622341596314,
      0.373227915674546,
      0.372305585673534,
      0.396389216586722,
      0.335679604254043,
      0.512264562205734,
      0.325817545215269,
      0.51357586112618,
      0.370682084355417,
      0.424106486311748,
      0.372181779585396,
      0.357660735040311,
      0.598932403809453,
      0.431138784225713,
      0.321906792226286,
      0.369760392489995,
      0.301576336155596,
      0.43367704539055,
      0.29990328178634,
      0.442464862662712,
      0.532074680255137,
      0.385287157587585,
      0.380954557273523,
      0.478327575055205,
      0.372772818896241,
      0.342568264618643,
      0.35556039585452,
      0.394944094474666,
      0.491816501042983,
      0.520234981315695,
      0.563829977988738,
      0.350044318896812,
      0.39777327499518,
      0.508937807496356,
      0.559262778736135,
      0.574967046570845,
      0.390975020074938,
      0.298170550843309,
      0.564985058937507,
      0.368350284517762,
      0.497430028097706,
      0.351493143554385,
      0.43200889142965,
      0.409891473366259,
      0.491560672518314,
      0.512242951419262,
      0.45236683316784,
      0.373181485208568,
      0.353224712749952,
      0.412581140472669,
      0.445151546189836,
      0.349472998951088,
      0.364351134316108,
      0.40419864011196,
      0.301315908642223,
      0.330856252792958,
      0.192988989147855,
      0.333071048573438,
      0.432707602338158,
      0.409452049923931,
      0.582236502970043,
      0.188459979078387,
      0.257015079163888,
      0.0580221915509069,
      0.332139159440542,
      0.261611198269545,
      0.229968180939068,
      0.417371610787472,
      0.248144406402139,
      0.312147231232424,
      0.434596749675949,
      0.268595012558801,
      0.495771326013699,
      0.237223998482099,
      0.531030108595502,
      0.295367292707376,
      0.631978545449121,
      0.472662104219843,
      0.441994991053871,
      0.492251791196855,
      0.427622787340689,
      0.348991131717716,
      0.435366969975732,
      0.232028154671062,
      0.282152627003075,
      0.273853994425713,
      0.307887371669197,
      0.342838722302846,
      0.307769013612155,
      0.534735619736241,
      0.501952818179241,
      0.588126016904605,
      0.370541972184165,
      0.389876318136217,
      0.513822585619796,
      0.389360210924095,
      0.181060870378688,
      0.288518327099567,
      0.494747573636714,
      0.349602209121498,
      0.450425074762101,
      0.417568558936272,
      0.48507583922591,
      0.385352439923965,
      0.423819011276939,
      0.477832217370069,
      0.501152380415626,
      0.608956234372707,
      0.387663652838422,
      0.395844419135802,
      0.56494087901621,
      0.311565488569238,
      0.303785402681561,
      0.301759082425492,
      0.405916229502985,
      0.347930868776515,
      0.316282507986294,
      0.414253393065241,
      0.422127960382455,
      0.36375366394345,
      0.587894601715571,
      0.368098727217245,
      0.314745298643013,
      0.319713827654397,
      0.39800975778683,
      0.498612489283162,
      0.38885835567535,
      0.436747906431702,
      0.528394174084461,
      0.34790591567865,
      0.486567307370223,
      0.41065370704089,
      0.306930085812857,
      0.411447122557995,
      0.425080416050913,
      0.347205683875179,
      0.371262954755154,
      0.522714291622022,
      0.34261307046015,
      0.307790289869446,
      0.550821733470124,
      0.292733768400886,
      0.346172168228337,
      0.399682716380029,
      0.55209888942184,
      0.508343464487484,
      0.43341848887223,
      0.36467454018397,
      0.304318314413022,
      0.411082180916859,
      0.566609753035462,
      0.339648787604441,
      0.530316435808658,
      0.3905247962521,
      0.535553483631644,
      0.520442625454314,
      0.580031474014127,
      0.559938292789637,
      0.554741976165549,
      0.369287333958024,
      0.4619190692935,
      0.329668903508549,
      0.390487029534924,
      0.395992256566535,
      0.37713948144064,
      0.310310586934085,
      0.296039524674605,
      0.347052787064874,
      0.379261237814287,
      0.437692595229093,
      0.643412609155401,
      0.688986074054951,
      0.48790711035624,
      0.342726629629995,
      0.443823694285509,
      0.433466151015093,
      0.366078852216284,
      0.476429297062541,
      0.320942830198597,
      0.511246556040295,
      0.446023708043217,
      0.544441412872017,
      0.54600091631472,
      0.493290131698493,
      0.364048326597137,
      0.493617481675563,
      0.538004302071503,
      0.600121649363226,
      0.492656375315822,
      0.559463910050258,
      0.375949371210461,
      0.300482527590386,
      0.339996026179394,
      0.334925800468656,
      0.697390977447811,
      0.451387603478805,
      0.472745648460097,
      0.417048757017714,
      0.427270158229506,
      0.37114546874514,
      0.336764591507629,
      0.587927482503877,
      0.354790756912703,
      0.589978895157296,
      0.417077197994091,
      0.368429908399302,
      0.475843072667252,
      0.406521861361268,
      0.480301013487471,
      0.806600902172741,
      0.643170479845587,
      0.412038563604398,
      0.430710935675125,
      0.330165026208938,
      0.607015145700441,
      0.342531979733801,
      0.487710526108878,
      0.459983855405114,
      0.477219295368831,
      0.357260925185164,
      0.287627636662377,
      0.399361341071603,
      0.381712555435772,
      0.342800464803929,
      0.599564666077471,
      0.336394613958737,
      0.39281361952048,
      0.362008276599625,
      0.467372441680205,
      0.541316126550007,
      0.313537471969791,
      0.502449200007125,
      0.417446854075656,
      0.423876967369495,
      0.590178327314811,
      0.497335907381962,
      0.335428000181829,
      0.609639791519344,
      0.413123206788003,
      0.393473911610118,
      0.370920130053199,
      0.511025799323118,
      0.459108457895849,
      0.420870601380148,
      0.450639315406741,
      0.37578110254934,
      0.510360063132181,
      0.4159987478158,
      0.423429455744926,
      0.45864024295858,
      0.448780143748265,
      0.235930835638767,
      0.333289637888882,
      0.294383983173696,
      0.219994042663015,
      0.321726683577736,
      0.258939070243488,
      0.233666871533985,
      0.254316758180025,
      0.188286904812511,
      0.397814223421571,
      0.442043300181508,
      0.27665271508138,
      0.422680341560324,
      0.223786229713404,
      0.426900425552791,
      0.298798956424676,
      0.38649876816315,
      0.237787036154142,
      0.321827762301568,
      0.334035824760879,
      0.466171515215837,
      0.420297748981369,
      0.424018891193557,
      0.574496471780783,
      0.138913436619052,
      0.596887193893751,
      0.314305273872128,
      0.556989197991928,
      0.248492575372788,
      0.178294409674932,
      0.448763301619809,
      0.401654575592576,
      0.391612551216766,
      0.40002936999829,
      0.337955481701418,
      0.497170279903047,
      0.585925056033796,
      0.492669014855145,
      0.421476874789211,
      0.392115059871962,
      0.65591148203843,
      0.486281992220734,
      0.376360597670959,
      0.684564673966022,
      0.348910776557928,
      0.473163630867475,
      0.550838216442997,
      0.502064520785998,
      0.3704954178329,
      0.471479287528931,
      0.364069668752345,
      0.520022566775548,
      0.574672787885435,
      0.552203924612768,
      0.733154437456979,
      0.363021173152168,
      0.566559710452642,
      0.391894340858999,
      0.347276535567819,
      0.381827327357451,
      0.273963883369439,
      0.588749422642376,
      0.335955887490301,
      0.438882496484735,
      0.418030398880803,
      0.402332213772932,
      0.459041002540441,
      0.502843969756228,
      0.467624729487437,
      0.3482226893798,
      0.403279812228154,
      0.393708658121582,
      0.422949093912809,
      0.50767212961758,
      0.449947218985958,
      0.346604273327157,
      0.424782935655634,
      0.479385023996528,
      0.537240786418341,
      0.413239219074263,
      0.554933525122117,
      0.526998015845099,
      0.528781383897,
      0.649559501990529,
      0.632714434586209,
      0.450643830411943,
      0.427755434041942,
      0.415928038830395,
      0.450962898107992,
      0.42230592726305,
      0.424459756494391,
      0.458580121934871,
      0.40450122363582,
      0.427276261098368,
      0.434379410660786,
      0.494396816828578,
      0.393898645142328,
      0.527294475644048,
      0.51850465519793,
      0.426252662401736,
      0.433722133755165,
      0.342635292318928,
      0.461509740385245,
      0.568822808629952,
      0.649484680262383,
      0.444609767399682,
      0.463454005337469,
      0.35580622197352,
      0.655311199273958,
      0.592571904451566,
      0.346122465116289,
      0.427292670798371,
      0.386741988720984,
      0.507643477449171,
      0.38631708821421,
      0.364273086789213,
      0.364545846885309,
      0.35430194566977,
      0.485622084904595,
      0.335455833946983,
      0.262130422756998,
      0.360940657511163,
      0.309128736230836,
      0.337809986330203,
      0.358778276514249,
      0,
      0.469795202980823,
      0.179278211794381,
      0.512167882223209,
      0.0922373401105949,
      0.278344017268986,
      0.251769453325046,
      0.528675941496776,
      0.470469352852486,
      0,
      0.400635757698938,
      0.234771806852025,
      0.250504443445819,
      0,
      0.23329462828476,
      0.274938389625889,
      0.299149810003981,
      0.456627146061206,
      0.240851500676337,
      0.144390445064937,
      0.0693816404102047,
      0.180683948165238,
      0.142647435516547,
      0.160599929280353,
      0.354478221818574,
      0.179269209838575,
      0.29017076553607,
      0.409461906967124,
      0.203952607665844,
      0.15972065179219,
      0.164055914941877,
      0.304394763998958,
      0.379358647164269,
      0.131370477766229,
      0.439058816099816,
      0.511981640314603,
      0.51329521843459,
      0.57557832088735,
      0.310336434317653,
      0.29367887197712,
      0,
      0.160790049987243,
      0.225113107238653,
      0.359083691224088,
      0.391326746766925,
      0.353058065352131,
      0.189175455560882,
      0.320517960803728,
      0.54307386932543,
      0.378048091164076,
      0.570979882696607,
      0.469857871348208,
      0.588607511488342,
      0.256577759064809,
      0.353641323753723,
      0.256398063080665,
      0.327138165599304,
      0.348608867263551,
      0.285902108052911,
      0.437763602742975,
      0.438918181697829,
      0.441481765321525,
      0.491498969964851,
      0.442934736585022,
      0.604084326747358,
      0.516815873576818,
      0.410017772716983,
      0.593633849555355,
      0.306188267926847,
      0.498499900918045,
      0.445631179406518,
      0.299908484903309,
      0.206881799236506,
      0.146419728802943,
      0.462444751985168,
      0.377173766430692,
      0.137960228553353,
      0.296314644998919,
      0.253414289718446,
      0.161890035982586,
      0.433491887953889,
      0.515318521049054,
      0.29426699505155,
      0,
      0.200369867905266,
      0.571202930719672,
      0.334521431792967,
      0.626008797060652,
      0.451067830844623,
      0.223795989194752,
      0.615009769716212,
      0.396141166987043,
      0.302165530002263,
      0.509180144158488,
      0.289478285058428,
      0.381113059848256,
      0.265134969797711,
      0.305097065843078,
      0.282679154909695,
      0.160980851247611,
      0.520574660682695,
      0.198991505530708,
      0.327842893455054,
      0.156539775193923,
      0.36112443972363,
      0.494009032415093,
      0.16795644616302,
      0.330182180938037,
      0.324921779140017,
      0.195758107433798,
      0.47805609041786,
      0.519165218359262,
      0.389430694325846,
      0.338473792599082,
      0.521741109518664,
      0.54057691343544,
      0.426068955484275,
      0.433781877024518,
      0.525649994538856,
      0.34950541490475,
      0.415778138604105,
      0.547217926223964,
      0.283189386373847,
      0.406999904592119,
      0.577261699881668,
      0.361845272752643,
      0.391771685286431,
      0.499167804121988,
      0.302746916612167,
      0.50067899763653,
      0.2588503700439,
      0.350309689935134,
      0.398229654566979,
      0.447599369094025,
      0.335545499335943,
      0.499130789217242,
      0.570037974240883,
      0.484430383993392,
      0.567804493011108,
      0.417648194587817,
      0.310340354256562,
      0.452323026119312,
      0.316007265843282,
      0.641565669316701,
      0.534330172484681,
      0.502611861540818,
      0.309434172537293,
      0.462190288821545,
      0.434855338215508,
      0.308201346922772,
      0.282782422398694,
      0.439164280713955,
      0.422171356476778,
      0.526365153902621,
      0.509938987183206,
      0.387624855279139,
      0.374131761365638,
      0.538137921009324,
      0.483351738158266,
      0.394247681808476,
      0.302245402594284,
      0.270637632101828,
      0.56495380541446,
      0.392378375366545,
      0.343094745028488,
      0.313083155838026,
      0.420919461525173,
      0.427012277128473,
      0.521295733049416,
      0.517772351969093,
      0.507421498494631,
      0.463078233795248,
      0.396318921719042,
      0.440081042668628,
      0.430225854520227,
      0.285588113083426,
      0.336198290922596,
      0.666158422941531,
      0.647434479366709,
      0.299181950587127,
      0.213374347066887,
      0.276963595973327,
      0.323609494788899,
      0.405871532469604,
      0.415322341008328,
      0.198079254318106,
      0.281714817378228,
      0.100378480992433,
      0.363057657784888,
      0.226473361104693,
      0.315237602397063,
      0.508391378756965,
      0.261066162258755,
      0.341735149266076,
      0.398761069215285,
      0.380670736361824,
      0.533419922016103,
      0.230988314661259,
      0.537896553034668,
      0.333935159824033,
      0.698609211757205,
      0.466914851061473,
      0.205596686580577,
      0.477977649823764,
      0.497021758652111,
      0.394036385450458,
      0.48713552405099,
      0.261340936164474,
      0.255980831650648,
      0.225232433626712,
      0.340395171632419,
      0.328030909283952,
      0.516049279079615,
      0.658463825309289,
      0.475086298060331,
      0.296307155656205,
      0.57254355444215,
      0.418745118148441,
      0.640391387372769,
      0.431014176992749,
      0.317306280083956,
      0.258355569512352,
      0.667011549696045,
      0.359705884291019,
      0.538002704868707,
      0.496829645642017,
      0.686884974076327,
      0.619130888484575,
      0.406497423480815,
      0.503088281143861,
      0.636383998737491,
      0.367042673023425,
      0.349523542326496,
      0.291157512906472,
      0.5969727144271,
      0.379681610767092,
      0.31778952410142,
      0.261015163554439,
      0.421234440505547,
      0.430942856493451,
      0.358449088385447,
      0.621264238754012,
      0.599621586092668,
      0.306867017600362,
      0.480866625147902,
      0.648600459599939,
      0.608598043053563,
      0.393787104821498,
      0.381639127384127,
      0.444862260103916,
      0.618079291885411,
      0.467573141088276,
      0.616503021137537,
      0.305519451709045,
      0.506241516437006,
      0.472733740876338,
      0.345074295273379,
      0.467448235876537,
      0.646301081695621,
      0.271666897321966,
      0.342476153685248,
      0.354262778123216,
      0.425959951058504,
      0.22334746217144,
      0.556978679039375,
      0.407792343497531,
      0.301166910647378,
      0.375348992520788,
      0.350860961904896,
      0.469599869628283,
      0.546334632273621,
      0.370672317933612,
      0.299738433189393,
      0.406416744191898,
      0.512117296062278,
      0.411259690903646,
      0.496169016936348,
      0.431111911039888,
      0.430156184366385,
      0.527612799039139,
      0.531073652192423,
      0.521570649743895,
      0.49354193776242,
      0.361376759738785,
      0.484613340396098,
      0.494808304507672,
      0.435950557066303,
      0.402917394184747,
      0.696165439375423,
      0.358399133758122,
      0.521870568103653,
      0.371637839003458,
      0.38847506183513,
      0.633129735967294,
      0.373724272163627,
      0.698136938813823,
      0.589048502381312,
      0.440552367715904,
      0.59897368365377,
      0.475293144762057,
      0.440404571101624,
      0.614236174410505,
      0.4701722068271,
      0.442182076989876,
      0.464920448964897,
      0.463316027277601,
      0.453748604029644,
      0.52406150605105,
      0.315845505038519,
      0.408602402350513,
      0.649373777472941,
      0.563276671810442,
      0.447884775856652,
      0.391392471643016,
      0.371677739251682,
      0.245080558660658,
      0.228142712694579,
      0.345225114920035,
      0.636507708145821,
      0.560130492916234,
      0.48182938811626,
      0.388310557788246,
      0.472580175256096,
      0.383753173852549,
      0.346276139391254,
      0.439606538080404,
      0.390194488823316,
      0.413779996938967,
      0.554441003624322,
      0.568886935384759,
      0.517751509951885,
      0.36709254542983,
      0.480681117311163,
      0.653029632816045,
      0.333061416627083,
      0.466593854165856,
      0.456488439175577,
      0.359342313913354,
      0.630074809984308,
      0.329171941253532,
      0.443740612968708,
      0.406052214503524,
      0.43147395757885,
      0.401276419658692,
      0.263055006145581,
      0.454582950309221,
      0.390057940274334,
      0.32918195430521,
      0.529504788045074,
      0.408220107088621,
      0.355415089505782,
      0.430012927738938,
      0.424530484304293,
      0.580598410326863,
      0.321347277940976,
      0.457367183886652,
      0.4927895287538,
      0.445805630377072,
      0.547728457637612,
      0.630075955870376,
      0.335072214966756,
      0.66266393967263,
      0.33711391742603,
      0.368625582815353,
      0.496717013009958,
      0.504578142917192,
      0.513234437407668,
      0.36309846531403,
      0.429661596497738,
      0.448886001056287,
      0.488802082137819,
      0.383733964764209,
      0.428415088996115,
      0.497516738687702,
      0.452740858980931,
      0.158797988928446,
      0.372899603076662,
      0.180859744334778,
      0.19887335079348,
      0.321471051645073,
      0.245405554574883,
      0.295610449435329,
      0.25435308706218,
      0.132423201093305,
      0.388914609436475,
      0.375117732080715,
      0.297208961492616,
      0.311689309222283,
      0.320464271016881,
      0.426953199825842,
      0.322818260750159,
      0.334778764438585,
      0.253608082035589,
      0.338336730621921,
      0.401103160477528,
      0.452219730478708,
      0.456865515659764,
      0.448787837594369,
      0.522554382641246,
      0.14417386732545,
      0.555548976090675,
      0.394014660301699,
      0.417457381595895,
      0.272089535948337,
      0.299777078559986,
      0.480472145948411,
      0.404824622752449,
      0.457153920934946,
      0.370768265978302,
      0.374115900534542,
      0.475180121719702,
      0.452907536188879,
      0.42793690551185,
      0.471284331349378,
      0.378069701099636,
      0.496597795779946,
      0.453677761637458,
      0.406108888587638,
      0.569576322615537,
      0.333878963450023,
      0.525921861513363,
      0.4600145720264,
      0.482339449133386,
      0.365083506217076,
      0.507826716855054,
      0.299465389577653,
      0.452131521720203,
      0.348684559647302,
      0.511297457402367,
      0.546154171913691,
      0.369394787923849,
      0.430979177225556,
      0.4196849190539,
      0.46483669976233,
      0.295084814827706,
      0.277296360227339,
      0.570671355043384,
      0.367182200835928,
      0.457054510693801,
      0.413169221004178,
      0.548599185709351,
      0.407273414072113,
      0.472270969704681,
      0.512990633952172,
      0.366924761239705,
      0.309489758394743,
      0.356428666467351,
      0.450266384253915,
      0.486576415765239,
      0.425880013506863,
      0.321900627754046,
      0.36711165452227,
      0.60275935421342,
      0.493029093142007,
      0.477367835114084,
      0.617896678596059,
      0.3569221083354,
      0.518621192171834,
      0.612423980550872,
      0.382032124770868,
      0.497030700486194,
      0.509389656801773,
      0.453027931029927,
      0.430307029423836,
      0.410814064993387,
      0.431820742072612,
      0.433405149501331,
      0.374863264319425,
      0.398260304684218,
      0.456752482401885,
      0.517092396129984,
      0.30483854329984,
      0.512550971700885,
      0.505855389954283,
      0.379566539616724,
      0.548278084609684,
      0.430901697784042,
      0.372882529285722,
      0.561278022712507,
      0.610782941576408,
      0.387863354813051,
      0.585103250934097,
      0.47402751854332,
      0.621092660765023,
      0.517244163133437,
      0.29997826670822,
      0.422497360521466,
      0.381851395594318,
      0.568445477577708,
      0.387780521068691,
      0.269172848306719,
      0.377190854366338,
      0.252381705595175,
      0.537113308241447,
      0.313352966007053,
      0.265461066626923,
      0.357851002571583,
      0.259239586120683,
      0.291043763554081,
      0.353586463580452,
      0,
      0.494708350850572,
      0.175072362034342,
      0.2406923724507,
      0.206055854469154,
      0.275309455479601,
      0.2091990513076,
      0.471038822934171,
      0.343008836548241,
      0,
      0.255617833316228,
      0.298423064323212,
      0.324368950445724,
      0,
      0.221714832876126,
      0.283754435954472,
      0.289102845939419,
      0.484072127303136,
      0.210164480134208,
      0.274610301358962,
      0.0767175729995872,
      0.164127034472146,
      0.151196242188804,
      0.13347574927173,
      0.391924355850033,
      0.154442756471868,
      0.530615014936147,
      0.497073701048591,
      0.210577842450429,
      0.137989800275902,
      0.0830346053142926,
      0.294490375567729,
      0.460903748601327,
      0.101507867250653,
      0.47392286873008,
      0.422019523248415,
      0.542717549132378,
      0.588114706898383,
      0.348859702821905,
      0.290029672557702,
      0,
      0.178945609595456,
      0.232932573896512,
      0.374604469228073,
      0.405209259580396,
      0.382557707824736,
      0.269348463450776,
      0.38119644897641,
      0.310815574507454,
      0.419941143470489,
      0.550422782796405,
      0.471070008697829,
      0.622667925221706,
      0.21389551571556,
      0.382513237092032,
      0.228737128304082,
      0.262335752618245,
      0.37876605441873,
      0.259702381993366,
      0.433816156714065,
      0.287753293994814,
      0.478347106934675,
      0.325212848964524,
      0.507543639881198,
      0.575568013481224,
      0.59070570508941,
      0.388799369294865,
      0.7099943846076,
      0.390425951839713,
      0.58889546869738,
      0.412447380051748,
      0.350415757859811,
      0.214603642286623,
      0.147207347090207,
      0.502553062871888,
      0.35547912254386,
      0.197723396491292,
      0.439734788274324,
      0.451127048778292,
      0.156220166736996,
      0.454699423771506,
      0.498018925410024,
      0.321169331548902,
      0.0270693117066384,
      0.210899061705217,
      0.629920450800415,
      0.618200235946449,
      0.637191514077766,
      0.441805980213206,
      0.216571335539945,
      0.627998094079968,
      0.593766178847589,
      0.33590080654319,
      0.483979844692282,
      0.357439542558759,
      0.368892771476014,
      0.369511070312766,
      0.313268097082398,
      0.372810848817612,
      0.140493850615876,
      0.496811947232776,
      0.216414312607389,
      0.32185597877267,
      0.153999083409257,
      0.400283130761702,
      0.652498792496618,
      0.364408539001187,
      0.315827622859242,
      0.368065634655493,
      0.292839391081731,
      0.495939546907253,
      0.550688201052097,
      0.423305601635129,
      0.358052394053183,
      0.599531328789157,
      0.587552569608106,
      0.5815622485752,
      0.551722261743855,
      0.560783238427097,
      0.256529844249007,
      0.539703484534063,
      0.48835446343074,
      0.315600747665294,
      0.366349419825343,
      0.52309110613408,
      0.372392233201709,
      0.327111397678352,
      0.555803662896684,
      0.338999064997031,
      0.534396762172998,
      0.181479413188142,
      0.396588818724984,
      0.443003858445201,
      0.499855234229812,
      0.44439318990932,
      0.5831542062109,
      0.563105832547835,
      0.450822179909782,
      0.58204279086632,
      0.434716391001853,
      0.503827846339215,
      0.487172659475829,
      0.32892260833274,
      0.698075522653335,
      0.629222649351388,
      0.595062226759569,
      0.296692911748216,
      0.48803795120302,
      0.430785938540254,
      0.303359926370936,
      0.348619002626239,
      0.317401394626888,
      0.391444286965731,
      0.46358032943882,
      0.347139739699592,
      0.41525668450396,
      0.432221601822295,
      0.549984512961086,
      0.517672456474889,
      0.463454709574717,
      0.415343125631837,
      0.370966362332594,
      0.459748987994061,
      0.424798279904215,
      0.427130411492865,
      0.699229825857696,
      0.423175213878429,
      0.644899036143761,
      0.600241442620181,
      0.560829065750827,
      0.57438186237244,
      0.61202972318746,
      0.352636884165336,
      0.431112269705337,
      0.441400834440741,
      0.294491161708501,
      0.310369306480431,
      0.708604156170475,
      0.660570322145643,
      0.295242876894269,
      0.222433218925702,
      0.32305828246945,
      0.308998558180638,
      0.37743442132702,
      0.395856160793179,
      0.221657954571097,
      0.26089300843722,
      0.0809454916699697,
      0.378003768411955,
      0.193019992773426,
      0.513795335809742,
      0.528038952510642,
      0.315805301326163,
      0.382983065119788,
      0.433673053359538,
      0.255840849946281,
      0.469601689400102,
      0.178098767209211,
      0.573883208222692,
      0.339682794293825,
      0.301049235433156,
      0.413590421869859,
      0.208251710624565,
      0.477767645906257,
      0.586632471108015,
      0.417486992608293,
      0.396362131611976,
      0.294537801630481,
      0.397657141561381,
      0.259730523376545,
      0.308113252649292,
      0.356677032285904,
      0.501219948094076,
      0.596489375310609,
      0.484255866257028,
      0.207855165237349,
      0.598932464269454,
      0.712987736857618,
      0.686904883636332,
      0.415531518350086,
      0.347857138967232,
      0.327872103478509,
      0.684812812700091,
      0.43380539090866,
      0.554957088394047,
      0.446501909617317,
      0.611081930461746,
      0.633785159015237,
      0.395814437409701,
      0.48928752556571,
      0.634498118144603,
      0.346425863323344,
      0.429054445487137,
      0.294501919316632,
      0.527611112724479,
      0.379225420339057,
      0.321039138098003,
      0.242966523199259,
      0.479466834341111,
      0.537190368695386,
      0.362654190426548,
      0.577776289485017,
      0.611297933787263,
      0.313955208884553,
      0.498439820363986,
      0.680112566858712,
      0.729903862635003,
      0.444525265212002,
      0.401976034799449,
      0.486779162277233,
      0.63596231207518,
      0.531835568141033,
      0.519595490235844,
      0.312859391124717,
      0.505829194127188,
      0.505468975946774,
      0.359399681759905,
      0.460645873853839,
      0.676790046543267,
      0.271704000212046,
      0.322049557851253,
      0.388222293509447,
      0.423211893536979,
      0.187229412655079,
      0.524916971422891,
      0.372343192987355,
      0.308380330947586,
      0.38543155939139,
      0.38327091550585,
      0.47600123806872,
      0.5816302146053,
      0.389333210330394,
      0.277885968689276,
      0.443976423554248,
      0.468013834993391,
      0.502108097312063,
      0.53510764490461,
      0.336189056801615,
      0.547386508647996,
      0.47985363835101,
      0.444006238171642,
      0.613007025724165,
      0.382301229720143,
      0.595119549693694,
      0.523613388494789,
      0.518969268714016,
      0.576125923342765,
      0.456078484499862,
      0.745202780237242,
      0.39328445480401,
      0.553155411979363,
      0.392900021033968,
      0.395392012786869,
      0.649019790814087,
      0.357692227802513,
      0.616513140446728,
      0.631300749450084,
      0.391888059615832,
      0.628272180533598,
      0.532028512151326,
      0.47110205745311,
      0.6390910627535,
      0.520189754826462,
      0.390511722493023,
      0.551429512409208,
      0.495530683930155,
      0.369762140084387,
      0.543193833397288,
      0.529960308865412,
      0.382069140581838,
      0.496714084735265,
      0.495608563174009,
      0.50542475078876,
      0.577131751952315,
      0.549185792739039,
      0.209415330471714,
      0.290909199775979,
      0.443226676889496,
      0.518501011040103,
      0.563319566433245,
      0.451248237991153,
      0.362656590959409,
      0.403750377386578,
      0.363991600250773,
      0.398130532234145,
      0.390758897526539,
      0.344339924582032,
      0.393412690963074,
      0.537463918722795,
      0.6444030586124,
      0.466899484078302,
      0.508428981385915,
      0.47559754525545,
      0.378807923956798,
      0.372121698167137,
      0.5131247514732,
      0.446553740782996,
      0.366882235814517,
      0.625671502992914,
      0.46755697818427,
      0.388857106067056,
      0.33780189529953,
      0.295396415491693,
      0.464011657577561,
      0.319287499129626,
      0.495831238322152,
      0.411142063368427,
      0.347086056160374,
      0.524927512999824,
      0.477949736296035,
      0.376389821049051,
      0.473024699671296,
      0.426604769917401,
      0.585176709626946,
      0.463874511654148,
      0.450607088526988,
      0.557008768178716,
      0.514184610251486,
      0.565118647254279,
      0.626911447012707,
      0.318541253995706,
      0.668972867394033,
      0.422332303006211,
      0.489319775335536,
      0.496210318701478,
      0.546946039080808,
      0.541147301567137,
      0.302096792836656,
      0.449190138203316,
      0.413587387555384,
      0.30905307166863,
      0.385560512268493,
      0.539731640396708,
      0.482514472612843,
      0.415662267358592,
      0.214724196444948,
      0.349609593924753,
      0.133214598357462,
      0.13774133450586,
      0.302044208404784,
      0.229178938767244,
      0.314360996399933,
      0.256799039158336,
      0.195917975955744,
      0.407922499508852,
      0.379328139295233,
      0.490997469448086,
      0.308579893834282,
      0.377832761964885,
      0.341949694846407,
      0.365285272925332,
      0.434078717686684,
      0.200197626254602,
      0.622748334396239,
      0.401086330814877,
      0.525089815305041,
      0.679985260619084,
      0.467265277953449,
      0.38404858861296,
      0.13020848336866,
      0.592899209032216,
      0.450517609896477,
      0.445507715329852,
      0.450899924913568,
      0.355055465033331,
      0.504152812545677,
      0.424222885694435,
      0.487603827538262,
      0.40320503865253,
      0.318689670371322,
      0.50753255768369,
      0.476637205721653,
      0.420829293778844,
      0.448143658304924,
      0.377963849334511,
      0.526265379455729,
      0.543521637145799,
      0.321155555603962,
      0.442004137020418,
      0.32279453180638,
      0.449155976485062,
      0.480498248634292,
      0.598521940706254,
      0.39639863778718,
      0.478355486002522,
      0.520828380429667,
      0.530954986301123,
      0.484567014146391,
      0.490822988424845,
      0.392082751708763,
      0.533245580413292,
      0.47468661400256,
      0.460723517989353,
      0.533963701626675,
      0.369189357070174,
      0.501317748624829,
      0.589698411024674,
      0.396262273059471,
      0.446502351463297,
      0.438753207474181,
      0.541905368421155,
      0.367780137977659,
      0.522335587658457,
      0.472709669522073,
      0.419987420127755,
      0.369637691060317,
      0.384783517558104,
      0.375642748925602,
      0.441434124092971,
      0.520248650016781,
      0.396655711383651,
      0.330812322900836,
      0.646894105587622,
      0.546369817128707,
      0.475230286445648,
      0.630238363684715,
      0.350329883295261,
      0.507929168874248,
      0.604108536674949,
      0.393006092396843,
      0.47674348566106,
      0.540873285699741,
      0.466445260315221,
      0.428968963351906,
      0.45465477553813,
      0.429594011070607,
      0.533766823239385,
      0.37670204312797,
      0.35807168198957,
      0.547960913431625,
      0.484397803960909,
      0.305535847850598,
      0.55901593502793,
      0.494688499556474,
      0.540802169921364,
      0.585523850801701,
      0.637185254537474,
      0.439051879596392,
      0.658488028812619,
      0.516441786554784,
      0.600847895354041,
      0.574044682242347,
      0.719197394144097,
      0.629877369981094,
      0.525658633293404,
      0.338712336667392,
      0.338783432712907,
      0.638692061344292,
      0.520984814877328,
      0.427834086490287,
      0.25877030618275,
      0.357431385341811,
      0.42258180520037,
      0.488338361297437,
      0.32108303011047,
      0.254787373841724,
      0.370675784580808,
      0.307450735768666,
      0.236000360467798,
      0.367189885368887,
      0,
      0.241626283102816,
      0.292922536340669,
      0.188159362394827,
      0.265177474261209,
      0.358935105121513,
      0.162703952618961,
      0.486000063128379,
      0.210959373200917,
      0.0251523288595363,
      0.287819969607641,
      0.240751117196743,
      0.269106554726624,
      0,
      0.17600757430257,
      0.35158515303369,
      0.259961018976555,
      0.360051724572565,
      0.187356576769519,
      0.190218594429191,
      0.019664281625933,
      0.110385586854901,
      0.161046490398279,
      0.0806927465685322,
      0.276708242854386,
      0.123403604355576,
      0.609554594673602,
      0.393666471665804,
      0.16833754801337,
      0.170041656556892,
      0.0189019038370677,
      0.282370379852845,
      0.288950496094828,
      0.12739295313093,
      0.494867030850792,
      0.111375622547354,
      0.102681098006122,
      0.370824057433605,
      0.129768503789934,
      0.296597417252751,
      0,
      0.201602246166288,
      0.300108865548916,
      0.086203850377539,
      0.499238173041492,
      0.213197095584618,
      0.354249615579134,
      0.38700829132623,
      0.318120948151467,
      0.100861908285969,
      0.243150783482639,
      0.364528180071783,
      0.611452032390751,
      0.202012041851137,
      0.335172056633436,
      0.270877202775203,
      0.372132002924363,
      0.361480974417903,
      0.302648586509821,
      0.47375482666469,
      0.464821160166169,
      0.486598948345367,
      0.364259417513376,
      0.523420139677853,
      0.398859025718395,
      0.561061946678281,
      0.552593395641881,
      0.540908110473875,
      0.413892381404789,
      0.497041534863114,
      0.447150699278888,
      0.23101103456727,
      0.187057180656795,
      0.255885586130794,
      0.327225221700208,
      0.434558638914208,
      0.21788324728618,
      0.576399266704169,
      0.449305430559734,
      0.164543474121585,
      0.514760466453903,
      0.238671678590196,
      0.268907427247822,
      0.0377962035712372,
      0.15788087743005,
      0.555455785746963,
      0.587799634291823,
      0.440168221273388,
      0.399947240257359,
      0.178328142682435,
      0.618400393379943,
      0.601336038759483,
      0.517710896772066,
      0.416122237533566,
      0.372802204449804,
      0.383220954615451,
      0.259022516081354,
      0.346892926089084,
      0.468582923318185,
      0.204527064797625,
      0.456858819785075,
      0.182517443927955,
      0.240015954595632,
      0.146903106637686,
      0.173924814446828,
      0.611454980233509,
      0.342373177382807,
      0.310789145179385,
      0.51414011207647,
      0.234358343316761,
      0.536917014538116,
      0.473651513961756,
      0.496814161059921,
      0.430231370404923,
      0.48142458005627,
      0.520400990858377,
      0.583956127851535,
      0.499250296667961,
      0.523166702881157,
      0.378480349389453,
      0.492256982193781,
      0.558477686950447,
      0.440211229329407,
      0.424561549374635,
      0.429321967338861,
      0.348879511682956,
      0.339189811724233,
      0.451742608074827,
      0.283869608503397,
      0.511973301312042,
      0.258246410464977,
      0.383480153229694,
      0.571171161656992,
      0.559274653620734,
      0.548746928637675,
      0.565392008183663,
      0.678611112269827,
      0.42676985536007,
      0.270232874317204,
      0.553476716029958,
      0.583643832469676,
      0.46897709005403,
      0.305347741951532,
      0.390040891584742,
      0.608906279849877,
      0.424663662893626,
      0.303839150457148,
      0.61949121466766,
      0.588843622158974,
      0.473155446424034,
      0.372880483549302,
      0.313602646088866,
      0.359780818282007,
      0.505149666108105,
      0.492171737609468,
      0.27539704787634,
      0.413978921972163,
      0.555276630170682,
      0.478354478196081,
      0.566540642115887,
      0.503850567656457,
      0.590356074143101,
      0.436896647404553,
      0.484575689355688,
      0.377781878871737,
      0.732268220342604,
      0.497378439396755,
      0.647771029272655,
      0.562706201610834,
      0.537134629908833,
      0.454125296377663,
      0.476542342362587,
      0.392263947862289,
      0.39319688383975,
      0.450419361229756,
      0.573992776232331,
      0.341695247848332,
      0.369076147025323,
      0.338320194289817,
      0.311384763837696,
      0.225644899500124,
      0.399761829967931,
      0.314426346499948,
      0.406492328833247,
      0.398900578122589,
      0.21719074243788,
      0.202663484692447,
      0.0598924065875598,
      0.339761675769289,
      0.156484256273582,
      0.601454075306,
      0.472964917948883,
      0.192855031236065,
      0.346971115597197,
      0.435128343132279,
      0.221572426966728,
      0.436605723918704,
      0.229051879868724,
      0.526953818595278,
      0.343970513346234,
      0.231156878997655,
      0.47116702086943,
      0.391332108798076,
      0.487807281170114,
      0.467745359035951,
      0.376560297027886,
      0.305410255563481,
      0.370079535974232,
      0.425775140012133,
      0.289531345368658,
      0.233672069791454,
      0.344989645443174,
      0.248176003937486,
      0.472591855295646,
      0.492946027005617,
      0.214663530167738,
      0.387508939699623,
      0.685718498050931,
      0.562880038450193,
      0.336857489340816,
      0.159861144879003,
      0.35455119239877,
      0.55998629141773,
      0.679876949348599,
      0.498523365271404,
      0.514376022914296,
      0.313116530961463,
      0.450288367396239,
      0.382315434760731,
      0.467834164729893,
      0.48862684744339,
      0.268507931122445,
      0.417269753942643,
      0.296567852750027,
      0.480720831633935,
      0.202866284279339,
      0.356136908904888,
      0.279099253658773,
      0.539142517876373,
      0.6066298946046,
      0.312579955193577,
      0.328602643055151,
      0.332901628034827,
      0.322051517597519,
      0.440507397044252,
      0.314438512320572,
      0.550970820821287,
      0.399095042135615,
      0.43335230298404,
      0.46738617174852,
      0.330219898318291,
      0.55066666895056,
      0.321571194866814,
      0.322895617906345,
      0.569152598155429,
      0.514785161387075,
      0.313903053156143,
      0.412526234988745,
      0.339774368736955,
      0.301965066530869,
      0.38865981646009,
      0.475789139418935,
      0.355624549804228,
      0.275141205048666,
      0.530781433679005,
      0.509635963783285,
      0.252571708933155,
      0.36015671144817,
      0.225662557950436,
      0.499049582899931,
      0.395434243016482,
      0.535175500473321,
      0.327452460697746,
      0.611276721514623,
      0.509001532429985,
      0.40652815462353,
      0.530638120834651,
      0.290902124113997,
      0.596801712003916,
      0.423560494544103,
      0.521463381663857,
      0.663081808808459,
      0.515263903026044,
      0.680561125869507,
      0.604796588179263,
      0.478250251203071,
      0.663536015183711,
      0.551106372880292,
      0.376273227067893,
      0.297071793610281,
      0.422346946103356,
      0.346076220292113,
      0.330510662904264,
      0.517202073456241,
      0.323783445384107,
      0.6070211205927,
      0.582782272004002,
      0.367947173758297,
      0.615016253526875,
      0.564279855807437,
      0.417495889718759,
      0.607534401689046,
      0.622788972961634,
      0.422152365838668,
      0.55169578284542,
      0.498398924437062,
      0.363207299482885,
      0.338218094015322,
      0.569129754198772,
      0.394072090651502,
      0.327460201564783,
      0.474384850891698,
      0.337695147182864,
      0.631922079662641,
      0.495972073118113,
      0.200371099424301,
      0.266190744081811,
      0.607155297503201,
      0.403719840968592,
      0.488836822291057,
      0.388493216027746,
      0.396193693882066,
      0.347533042099629,
      0.5558193418185,
      0.349763878626858,
      0.462495292125591,
      0.334362110557613,
      0.456006086511768,
      0.447308647834204,
      0.559777447750291,
      0.4079856216792,
      0.440737350815036,
      0.530056683800891,
      0.427404217159445,
      0.443421367111134,
      0.55280613617624,
      0.516502898669626,
      0.401194159639211,
      0.676515651401084,
      0.370638296900684,
      0.459616768139635,
      0.429197444057422,
      0.400791760729948,
      0.417885565781461,
      0.573744296967052,
      0.480439891422167,
      0.453721511926139,
      0.515749266565187,
      0.530403445246966,
      0.512736095673202,
      0.505605371598416,
      0.510805710250943,
      0.536048618202783,
      0.486435275992388,
      0.553126661011971,
      0.513398812777738,
      0.493440799950962,
      0.732364823806945,
      0.604002095592433,
      0.532567737508542,
      0.26430954773151,
      0.679113886728913,
      0.584837821714656,
      0.485655129875959,
      0.260943895814441,
      0.54754748724232,
      0.463398897837758,
      0.487363769468337,
      0.442770119148095,
      0.386715200038135,
      0.433966329244013,
      0.515117252244967,
      0.430183372867215,
      0.480503022364884,
      0.430950595976419,
      0.456694724537018,
      0.265379025668346,
      0.257873622674001,
      0.215678507181369,
      0.296112961864493,
      0.240829291888815,
      0.273491569340758,
      0.43452768854171,
      0.200098388237568,
      0.449944054334872,
      0.40288250879575,
      0.410747290548043,
      0.217879726516948,
      0.492399311182946,
      0.45127944244542,
      0.36756271824232,
      0.418663863223011,
      0.22047414383828,
      0.712005340704071,
      0.401553292373799,
      0.594552183122773,
      0.598614407074841,
      0.471202937436895,
      0.318267956059367,
      0.108134261890577,
      0.593304404529554,
      0.247538731729163,
      0.540766318378319,
      0.378473610852022,
      0.212829641297822,
      0.478930789639355,
      0.376137954416347,
      0.402087785964771,
      0.500602664024497,
      0.355835872358952,
      0.439078779921824,
      0.555490963651721,
      0.375182876982389,
      0.406835562604104,
      0.357566074265381,
      0.447853294329823,
      0.652316767805531,
      0.450219391325163,
      0.480653972709982,
      0.37674813069926,
      0.426561165362053,
      0.573908536361224,
      0.539403478509046,
      0.536510715511429,
      0.398058651157989,
      0.666235176151485,
      0.580950238908566,
      0.565284378390026,
      0.519809888274487,
      0.539827811958691,
      0.613139487661511,
      0.628957527799411,
      0.472684295626158,
      0.46690367764046,
      0.540292844091582,
      0.60887991782166,
      0.530031070730256,
      0.345068485744696,
      0.417467932577792,
      0.552658267291369,
      0.423403777369782,
      0.437097127176713,
      0.598023123207835,
      0.530989036516607,
      0.498740564550637,
      0.376608403455492,
      0.383873385654449,
      0.353097302730616,
      0.490740928474706,
      0.506567695469104,
      0.389476128063231,
      0.365649967305533,
      0.570482083921145,
      0.500615529437941,
      0.575117779639284,
      0.557783122525985,
      0.327604050229611,
      0.433680172287244,
      0.571297475966743,
      0.37647220529034,
      0.331734078515062,
      0.388210538381593,
      0.426017309775545,
      0.334781896358973,
      0.42459781346429,
      0.556622128885268,
      0.704725887767561,
      0.399318239925494,
      0.352960525787262,
      0.505168354664754,
      0.512004748988999,
      0.295808760801288,
      0.544492851778181,
      0.430557733654228,
      0.57774971363411,
      0.525092091264131,
      0.605659497343679,
      0.372691327465489,
      0.630796522639523,
      0.475369967479946,
      0.709874936062103,
      0.542337895888558,
      0.722573166651567,
      0.583241394311296,
      0.568301111294004,
      0.289223947666343,
      0.595928779464286,
      0.586807229798363,
      0.537133910077404,
      0.424696235648487,
      0.254928021726562,
      0.359489158723029,
      0.559896091292348,
      0.507171678262074,
      0.280158233379683,
      0.219264855045912,
      0.364685603223375,
      0.318556636133136,
      0.266118553981039,
      0.369182901459014,
      0,
      0.146545383625277,
      0.282283519784216,
      0.212484671616741,
      0.0854942017999268,
      0.372933377768902,
      0.171521350628626,
      0.382990079571792,
      0.262747326233577,
      0,
      0.34063635722131,
      0.194877703218073,
      0.267858663841175,
      0,
      0.193737303695311,
      0.373480245905001,
      0.216924745784385,
      0.337558505180453,
      0.24518462198068,
      0.0374269698923395,
      0.0423590760987482,
      0.12901049224472,
      0.107253197836528,
      0.124876415623068,
      0.245776497495501,
      0.219936366598524,
      0.350938014379173,
      0.277782746837247,
      0.151355389879868,
      0.127077288194064,
      0.0716860401753043,
      0.24277989839096,
      0.204936555540395,
      0.166250388044952,
      0.536896102161682,
      0.160025463550039,
      0.0285562724699888,
      0.337056511711649,
      0.0412755865548136,
      0.274156262396501,
      0,
      0.165419072642678,
      0.22258931080995,
      0.0959716037979234,
      0.388541249657621,
      0.231107956631614,
      0.259377452823153,
      0.367531969018582,
      0.344473123029553,
      0.280896433796795,
      0.249533623435145,
      0.307899643224367,
      0.601358729873559,
      0.200341986579109,
      0.340487489029633,
      0.31657119693096,
      0.387913113181599,
      0.343889782583564,
      0.277781080155202,
      0.495248405532397,
      0.424771073001152,
      0.499101593036002,
      0.30432090549903,
      0.478925899136564,
      0.416136006181294,
      0.428539182489441,
      0.473532334901131,
      0.458132403976834,
      0.370420665764611,
      0.264402897387613,
      0.503221974310854,
      0.202021158149014,
      0.181516395166458,
      0.357583277136373,
      0.361819530358072,
      0.455641786572798,
      0.181019300841289,
      0.443555688196111,
      0.229571916131004,
      0.132556428538168,
      0.527514662684982,
      0.175343634734233,
      0.25627034550684,
      0.0744503308171634,
      0.160814435268227,
      0.431887580118706,
      0.250748443047432,
      0.370839869074609,
      0.382323249315191,
      0.19712754487913,
      0.614366174984348,
      0.322906771460962,
      0.561040964963473,
      0.391691290717947,
      0.319258306008838,
      0.352121520262771,
      0.253344149868975,
      0.283898663757534,
      0.467667256730462,
      0.257168327097326,
      0.483038977613504,
      0.185744281176262,
      0.244012510826376,
      0.141901985543453,
      0.184727334089381,
      0.519856823051095,
      0.155701184369072,
      0.310360052602278,
      0.470246638931435,
      0.191918880971752,
      0.565544496053939,
      0.390809358868322,
      0.528359482058163,
      0.485308707744357,
      0.297038339316081,
      0.469439605074356,
      0.49447098987486,
      0.389297381613952,
      0.441500292684332,
      0.341804693608259,
      0.547490874883961,
      0.526091573896914,
      0.434760326260872,
      0.436987166064212,
      0.589231941371793,
      0.358778448215464,
      0.373948338858939,
      0.402610678773441,
      0.270098763653243,
      0.500383353060974,
      0.233902460965916,
      0.397389437456877,
      0.464039479397843,
      0.502909720684856,
      0.421236770321189,
      0.445898118115887,
      0.656716481533934,
      0.425260580980167,
      0.257263554318162,
      0.463134120273258,
      0.455334568543147,
      0.344928827720869,
      0.322050619752684,
      0.397388826702597,
      0.456961502629504,
      0.294094732751203,
      0.264381468156363,
      0.569703083683115,
      0.549918576472651,
      0.429938418565364,
      0.308964450336361,
      0.307785942015631,
      0.459596127480153,
      0.383079209576325,
      0.477496372050728,
      0.262305900609824,
      0.355183173457182,
      0.518478708829367,
      0.426662136918408,
      0.541426514416321,
      0.401557174273532,
      0.542793620851509,
      0.412121298512078,
      0.585434540460867,
      0.337705591440194,
      0.384074883111072,
      0.483571727779398,
      0.479454374406155,
      0.481760784272621,
      0.45189967517337,
      0.378330070886703,
      0.350249043516555,
      0.399135126917977,
      0.404819704564493,
      0.394601918119795,
      0.517659215371678,
      0.322957566568227,
      0.32694886102423,
      0.291283292679935,
      0.439431485534697,
      0.234763909268215,
      0.435856703420743,
      0.500018360469865,
      0.405589752726603,
      0.424261057605889,
      0.261268076506571,
      0.275671724236108,
      0.125865416477183,
      0.373018011490845,
      0.218444260667497,
      0.338981540555226,
      0.408186118135673,
      0.138611654511024,
      0.316134675089106,
      0.424994082228221,
      0.241041006958349,
      0.381173763488087,
      0.211529057868247,
      0.557354576943738,
      0.291765560841448,
      0.191942716265131,
      0.455061135925748,
      0.40227472667779,
      0.455619016395536,
      0.44281130996254,
      0.349683940619394,
      0.308744947459532,
      0.335774842925657,
      0.256042790674258,
      0.247386757740156,
      0.281268520581228,
      0.324294305511501,
      0.262794760609297,
      0.397487257078989,
      0.444262042454615,
      0.285723071108377,
      0.344329673838081,
      0.52425215574682,
      0.414437474167304,
      0.414852091002061,
      0.220463260753363,
      0.287367491115966,
      0.519429485277223,
      0.669018776212469,
      0.398423708448613,
      0.59809444568329,
      0.297045239623083,
      0.34004321539409,
      0.455004362136687,
      0.472111111036105,
      0.427909728876467,
      0.284662987738015,
      0.347725742431104,
      0.36923748840983,
      0.523773610138437,
      0.211481137668252,
      0.37330961462065,
      0.223211066304702,
      0.430868862338333,
      0.370661922817477,
      0.271314991101131,
      0.310799590187194,
      0.318379990596326,
      0.428377530200046,
      0.531299162563187,
      0.257700291947978,
      0.328442983745039,
      0.501251523348923,
      0.406714256186249,
      0.410972157025884,
      0.367541021536853,
      0.638410152729628,
      0.279364886925091,
      0.300707918473679,
      0.541672279620253,
      0.464905443163343,
      0.310738362296195,
      0.37718568559779,
      0.300481694166018,
      0.350509503222238,
      0.349971066103943,
      0.424586779635121,
      0.372349628080565,
      0.222427351084467,
      0.543140714465021,
      0.44758829807351,
      0.250671555669426,
      0.35344771024086,
      0.227114649956811,
      0.538091292511884,
      0.377679429403607,
      0.483448529043876,
      0.306221566591908,
      0.549941701795195,
      0.513274870979858,
      0.26722819683167,
      0.528106951893832,
      0.285103323994746,
      0.567944877737363,
      0.473139043459123,
      0.434281745568072,
      0.505993903717883,
      0.466258156929062,
      0.611847103514591,
      0.638710342664274,
      0.384924469628766,
      0.491844046938925,
      0.58550886653678,
      0.26956043133642,
      0.314356753564708,
      0.376405543006783,
      0.326996983941541,
      0.291679259081837,
      0.319379776427807,
      0.533067791889557,
      0.570687876316317,
      0.396584347309948,
      0.376528859494386,
      0.588750025272588,
      0.479890873348276,
      0.346421294756758,
      0.563236147275668,
      0.717834925407541,
      0.548091939904699,
      0.470510868979582,
      0.489206377829754,
      0.494551098299114,
      0.33180696907144,
      0.426103252255735,
      0.385579521023661,
      0.282850607943125,
      0.492890874520764,
      0.403435521583308,
      0.616568314380061,
      0.390511896908518,
      0.230957692740514,
      0.307263289897073,
      0.732615742897405,
      0.412585880622347,
      0.448502864392079,
      0.371670787426725,
      0.435521347677521,
      0.469197234069144,
      0.632085385316345,
      0.305354006414957,
      0.546959690239137,
      0.369867721971698,
      0.423811821120609,
      0.442838435199352,
      0.319982665016474,
      0.439629030594132,
      0.480597620977259,
      0.686616975338898,
      0.463683197127415,
      0.522413941867973,
      0.465906790007609,
      0.451389993394817,
      0.380891159580731,
      0.620621941537793,
      0.315675247855042,
      0.370899807362667,
      0.345212557308434,
      0.452384871704656,
      0.357394010479002,
      0.486379344428222,
      0.400684643813936,
      0.384429586634494,
      0.481292799518947,
      0.51157123280065,
      0.324214407309865,
      0.395747718905214,
      0.345676496445681,
      0.640487747698387,
      0.548545596339419,
      0.433202284665375,
      0.459425159577982,
      0.384413176253399,
      0.669553973479297,
      0.615379885824766,
      0.559139815652686,
      0.287758961713514,
      0.696070313695313,
      0.453892162779368,
      0.427167941945003,
      0.33567089433565,
      0.580707490583684,
      0.448882700695381,
      0.555302618870061,
      0.466546029737199,
      0.355401719499776,
      0.583557823704898,
      0.4684109928273,
      0.399353151823063,
      0.495424225921051,
      0.403233680399671,
      0.443787372004063,
      0.296881732560564,
      0.181177668501301,
      0.240860444083694,
      0.318364437013791,
      0.201811851946171,
      0.245600131233106,
      0.544623102881899,
      0.249065452533282,
      0.493673387060826,
      0.413522405563459,
      0.318842916505456,
      0.338307898418175,
      0.506027307850573,
      0.45521038243755,
      0.410962653937375,
      0.280096098240112,
      0.251133232044619,
      0.485843212722594,
      0.361558123791997,
      0.578331918996554,
      0.412302609000667,
      0.485074371861706,
      0.336493173888501,
      0.155589130479406,
      0.606362586516972,
      0.225163484921566,
      0.575184476482115,
      0.253908657103154,
      0.245015696687003,
      0.461705164673836,
      0.394567853358689,
      0.337068104351204,
      0.617932018441444,
      0.388349810853864,
      0.439581973204047,
      0.50400123650663,
      0.370184797964319,
      0.459184944926692,
      0.348262716536042,
      0.418440589924739,
      0.612955929075738,
      0.372887092948634,
      0.47556248523878,
      0.388891647041324,
      0.452520161040332,
      0.508643683056773,
      0.393307461972015,
      0.581012438524853,
      0.400845985922275,
      0.671455348844558,
      0.603841385907492,
      0.376874582877309,
      0.510410104395299,
      0.485534799708486,
      0.586490488082062,
      0.687529253344136,
      0.429101797729167,
      0.377501048528125,
      0.439884110573509,
      0.475253545750101,
      0.516013896312745,
      0.454892830165305,
      0.395135580176634,
      0.593609944997837,
      0.403861675055163,
      0.423899858127827,
      0.548499799733116,
      0.52701720678915,
      0.468931322251745,
      0.247694631612715,
      0.370833013843945,
      0.351345795113038,
      0.338641355364254,
      0.434650117582282,
      0.31715398132114,
      0.415045538884594,
      0.509474376794748,
      0.523118442627963,
      0.546916455220179,
      0.491060490766178,
      0.303606247814722,
      0.436541976256735,
      0.52367576679069,
      0.471882238383699,
      0.311449342026808,
      0.362861479660561,
      0.440606523627598,
      0.37899357904555,
      0.409089798103257,
      0.610647771208691,
      0.681113754624091,
      0.410302763462239,
      0.644099980856584,
      0.407030011559826,
      0.488126795087787,
      0.293454435398634,
      0.530643954585824,
      0.503937059167786,
      0.583231848347448,
      0.498522159648493,
      0.376598866610681,
      0.328689300427469,
      0.641956366527825,
      0.553452771385374,
      0.494756037832984,
      0.673967662496967,
      0.583103250770129,
      0.603182220705754,
      0.524459310781987,
      0.236392191473137,
      0.644711201061162,
      0.325325493379174,
      0.509102504722655,
      0.409761554921108,
      0.256874199413775,
      0.535423895322142,
      0.401858408625661,
      0.52962474835361,
      0.258060002402684,
      0.187393033624812,
      0.33483437464919,
      0.259802936437062,
      0.244825030260546,
      0.389179834831829,
      0,
      0.302705129744599,
      0.155418409157752,
      0.328637085065435,
      0.0429820880791325,
      0.273544972533148,
      0.26335237480655,
      0.449219374709151,
      0.382771361723143,
      0,
      0.387946747412195,
      0.124431937686244,
      0.313171099739152,
      0,
      0.212557710973983,
      0.386959108353284,
      0.181013216864728,
      0.380238288161886,
      0.24224911227655,
      0.111516256555046,
      0.0477904046409898,
      0.12184772118879,
      0.112230879903951,
      0.0901204458578043,
      0.274539195947185,
      0.241338334426636,
      0.352590696942684,
      0.302047835710348,
      0.105264430187654,
      0.1187967613272,
      0.0821105277657234,
      0.251316798779495,
      0.200892843582728,
      0.116776858208038,
      0.438632579688886,
      0.26348062742439,
      0.0889058548556385,
      0.448158172178619,
      0.109614029915174,
      0.30041629692457,
      0,
      0.128228475354873,
      0.231691208681939,
      0.304269406461782,
      0.358708712810518,
      0.4643776507831,
      0.204856771885544,
      0.385619805209881,
      0.188418814077402,
      0.142669182392378,
      0.345439187477299,
      0.457468233341953,
      0.631895374003437,
      0.204627210551463,
      0.322927510744972,
      0.274110664415262,
      0.368247856158468,
      0.367530681013191,
      0.276951541516981,
      0.472425944181451,
      0.380802990476398,
      0.447755738329885,
      0.367449782463257,
      0.473886792860679,
      0.379800404149566,
      0.485555349376139,
      0.606374552014867,
      0.369995155953185,
      0.66220249002015,
      0.319832310390757,
      0.535502827768341,
      0.192222627508726,
      0.178298168929818,
      0.338149957738552,
      0.38877084412859,
      0.460341689696152,
      0.193110395006876,
      0.285072802205901,
      0.289604694905076,
      0.140635372765487,
      0.529257293130469,
      0.335245859712,
      0.270572349385174,
      0.105059648964223,
      0.250745309288186,
      0.45926188154558,
      0.272210676707199,
      0.512731034334251,
      0.43768050127835,
      0.220143049069105,
      0.667213025607654,
      0.375738191297926,
      0.397630091267952,
      0.349075057820644,
      0.550395331628886,
      0.392069741558187,
      0.181298744755707,
      0.234316721416545,
      0.414359479082282,
      0.28917137178911,
      0.541162067348255,
      0.21294774351116,
      0.287959796105327,
      0.132031997378498,
      0.232319297479491,
      0.535782233685887,
      0.18096798650673,
      0.364089091300461,
      0.316228608554465,
      0.270941345400597,
      0.608347922777274,
      0.50975132231017,
      0.34853310586499,
      0.531274590201625,
      0.307537159580604,
      0.523331678788758,
      0.42103550492384,
      0.472221536907823,
      0.533482989792264,
      0.366904180424459,
      0.563810439325768,
      0.550644089289356,
      0.34277987180047,
      0.446542894097862,
      0.592875133981961,
      0.370531246748097,
      0.463472557833998,
      0.471059581977476,
      0.290050145031293,
      0.486655726310955,
      0.254907255984295,
      0.40002021890599,
      0.369236188384496,
      0.447841691459124,
      0.316350595133039,
      0.3285422932662,
      0.624213309591105,
      0.512173236193439,
      0.304836860930804,
      0.432753764688861,
      0.286065933339816,
      0.35401772378438,
      0.555734079435208,
      0.407325055435872,
      0.479134870008291,
      0.340973045887431,
      0.294315805648774,
      0.419709629282036,
      0.402230273588671,
      0.338705434379237,
      0.360170836146398,
      0.309148219889228,
      0.429795784522397,
      0.466084290466687,
      0.476195112663842,
      0.391367582207066,
      0.376578955360742,
      0.544505643000144,
      0.459020770132143,
      0.60368692033418,
      0.316759261742376,
      0.31059763011923,
      0.43031262175646,
      0.643406464655397,
      0.529051960513723,
      0.498843744191986,
      0.405323460645637,
      0.465119065231881,
      0.462658500815623,
      0.450031974933959,
      0.424916355255851,
      0.309116733930105,
      0.335672209964873,
      0.414744770751936,
      0.428114294766295,
      0.280484035116489,
      0.299740039898612,
      0.286159144918417,
      0.273904166609988,
      0.590448080826281,
      0.588925689975062,
      0.51045551746777,
      0.540515998038154,
      0.62188030125412,
      0.411596728112345,
      0.198224162799646,
      0.255141234502598,
      0.0327801925713543,
      0.346012787779887,
      0.231884528605501,
      0.225853460194226,
      0.454333641685631,
      0.285914116685962,
      0.621458761338455,
      0.65783471387105,
      0.249456068145981,
      0.460786830420913,
      0.162880521654695,
      0.520752586573604,
      0.340108786045961,
      0.231082325638102,
      0.540098385830711,
      0.195007774225245,
      0.484960679988723,
      0.49354943496982,
      0.353894663846125,
      0.341521355137827,
      0.190264986312008,
      0.278580200369325,
      0.24291538855161,
      0.280594792170578,
      0.417496903237288,
      0.462262321171695,
      0.401709886340538,
      0.628660327452203,
      0.311082446525624,
      0.340114773519876,
      0.419110430315762,
      0.277384879453664,
      0.643872444927929,
      0.302053200332801,
      0.256859822775754,
      0.394853016625472,
      0.368561242473468,
      0.395285623071253,
      0.63950780651607,
      0.439019338107642,
      0.379959523370568,
      0.65120048156714,
      0.463983967628172,
      0.438973118155942,
      0.311817589518563,
      0.338762536713319,
      0.299526644868708,
      0.507717465581751,
      0.3451996284438,
      0.341625846513658,
      0.229618860978394,
      0.459811496666293,
      0.373395567308726,
      0.344179961152673,
      0.351583508629167,
      0.326996813806653,
      0.678662303419755,
      0.510804758840732,
      0.288554549428219,
      0.297047641020158,
      0.403805572887823,
      0.37274924184665,
      0.448273984746554,
      0.374575817367962,
      0.555102511125999,
      0.322612914023629,
      0.307621764296145,
      0.570172971378298,
      0.435523279405189,
      0.528170020305646,
      0.472182973146434,
      0.401471435000275,
      0.574815980579343,
      0.33919787018747,
      0.442912916665976,
      0.334951134146595,
      0.240836183603836,
      0.602881388678427,
      0.304865237919188,
      0.354865557185135,
      0.408764131839645,
      0.373546307456969,
      0.598832646211338,
      0.416515288462468,
      0.413752167994777,
      0.282233113421846,
      0.461795454965353,
      0.580936516072612,
      0.342395790638881,
      0.540133030750717,
      0.392039214520516,
      0.515211870554788,
      0.49429361888658,
      0.627274683138541,
      0.514626018644288,
      0.672247042674485,
      0.381612671212675,
      0.531726388826082,
      0.358507661137423,
      0.373621125125048,
      0.624440323893832,
      0.307787039214765,
      0.34940746538741,
      0.355355381512343,
      0.420887834442785,
      0.364148300479568,
      0.34303728656389,
      0.68074998041699,
      0.520502902670211,
      0.418570165001387,
      0.388224298365446,
      0.500660709722308,
      0.484862274593588,
      0.302675159460072,
      0.479296732388887,
      0.610004239785047,
      0.632651787840133,
      0.365641216601277,
      0.45986158799635,
      0.552051417762339,
      0.510222533390332,
      0.345949124212779,
      0.458332551720364,
      0.343632067048024,
      0.587720459307788,
      0.42871398537421,
      0.563106391051705,
      0.40660224774749,
      0.260438724829048,
      0.301588911442987,
      0.71944017517664,
      0.657584166045503,
      0.438846755603126,
      0.44751283316651,
      0.45133311355533,
      0.52431617560843,
      0.501370718686596,
      0.328397648826034,
      0.548228776962533,
      0.369606884830519,
      0.478100496961991,
      0.372339319373726,
      0.285951119856257,
      0.450189001900907,
      0.660433130051897,
      0.686978703201587,
      0.663271809017438,
      0.679174720940704,
      0.424900799202536,
      0.46690485674122,
      0.382092306699785,
      0.568128590187671,
      0.418716257675446,
      0.455288162847973,
      0.408058428200942,
      0.382458229909995,
      0.367615944913019,
      0.31624186063111,
      0.410777310389907,
      0.428844114927152,
      0.265451130968248,
      0.616658856314742,
      0.307705725600277,
      0.365869571216585,
      0.3740932080752,
      0.577210084979416,
      0.569880880815081,
      0.31296451933076,
      0.475724244637926,
      0.390303327102055,
      0.416795184053472,
      0.586401614720053,
      0.547104029752613,
      0.412183769458963,
      0.652181334536661,
      0.419826765934457,
      0.469330410065226,
      0.441218448165166,
      0.584311880806935,
      0.452293208323967,
      0.352790051316193,
      0.538916366261632,
      0.353854688090401,
      0.432145979484275,
      0.33860474777971,
      0.376414970376929,
      0.467463498003714,
      0.482672568798927,
      0.24486182909985,
      0.389380929407581,
      0.278203599350541,
      0.24428271529295,
      0.329913770015397,
      0.203782407597483,
      0.244339203158917,
      0.396536793804459,
      0.208398097321891,
      0.553434642165493,
      0.451636826861351,
      0.378211899389825,
      0.438664630240718,
      0.251490968192625,
      0.474025225328311,
      0.511054070295479,
      0.430309481503842,
      0.309239322042964,
      0.347763856827992,
      0.374906087922628,
      0.511865114338046,
      0.430022126445417,
      0.381586686154442,
      0.403581172891188,
      0.131479738305329,
      0.596248003354361,
      0.305992442537126,
      0.609847725789681,
      0.303369182941072,
      0.334293485655414,
      0.439034957491423,
      0.424831645958442,
      0.463780047305436,
      0.559216873446836,
      0.385227538853814,
      0.518870423674762,
      0.742522108032419,
      0.428615711256771,
      0.451734991043141,
      0.398346534197032,
      0.59215027898445,
      0.547172167220596,
      0.301515349254644,
      0.591410053276117,
      0.371412552416462,
      0.508118461038106,
      0.515158276797008,
      0.534091855117483,
      0.458729846755657,
      0.393779669824867,
      0.586263935832915,
      0.620163882767723,
      0.531299367047056,
      0.701341271790585,
      0.486781822818821,
      0.477277278322392,
      0.657328481349851,
      0.435016627690339,
      0.344658396517925,
      0.531993758030271,
      0.292540016537383,
      0.63863818342479,
      0.43784255282628,
      0.41841422704407,
      0.436658335376393,
      0.402626950511485,
      0.422118071095676,
      0.547608415715001,
      0.512602185885475,
      0.371998063940472,
      0.320752561298359,
      0.432697777458938,
      0.456389438154703,
      0.485428871436113,
      0.431059778232604,
      0.290079244910832,
      0.406278657398575,
      0.524719298757007,
      0.509620642344906,
      0.520732055318143,
      0.494712697250295,
      0.326265513882653,
      0.494586219011509,
      0.617808058006555,
      0.570729289990049,
      0.319675296580083,
      0.343121345297194,
      0.568775205480698,
      0.565845832381037,
      0.432700254359787,
      0.489432031765246,
      0.450396185395594,
      0.418574876492775,
      0.729776336343684,
      0.43989816584758,
      0.487431649046982,
      0.351859229999087,
      0.516011760490115,
      0.543270583882224,
      0.520027510357169,
      0.455747268166792,
      0.391452683288736,
      0.407459628394403,
      0.667186402802983,
      0.624665079507994,
      0.528553593559407,
      0.604417279511221,
      0.355702030050382,
      0.635434080284265,
      0.46151801466468,
      0.272551718687108,
      0.527059455312597,
      0.572531135588492,
      0.565635677098687,
      0.444141054808153,
      0.260612046322825,
      0.582328499484782,
      0.461043750505675,
      0.536669122989359,
      0.254885877577262,
      0.234186288752657,
      0.329442614424392,
      0.376249365183683,
      0.308769064096959,
      0.429023764265687,
      0,
      0.320252072906722,
      0.188846578788037,
      0.233764051497019,
      0.0569183826579043,
      0.271175059061445,
      0.224188308087489,
      0.538336973105357,
      0.392204683800458,
      0,
      0.322974874007022,
      0.212386807471499,
      0.355204300261795,
      0,
      0.122026554710172,
      0.383650414064852,
      0.337348927125057,
      0.478606005195575,
      0.200790465836034,
      0.240960106126991,
      0.0499360881251037,
      0.0427597754070535,
      0.143863064050645,
      0.0931921993128867,
      0.266759754975337,
      0.262718361279179,
      0.322558974708158,
      0.368930161392915,
      0.114196650113492,
      0.151347301961834,
      0.0996500647749494,
      0.216091611550192,
      0.312699575941909,
      0.102302614675553,
      0.489531131236294,
      0.330463833770107,
      0.0231407705910554,
      0.576845720649074,
      0.209227032961957,
      0.317103629177373,
      0.0827074318167439,
      0.120334313424394,
      0.217791018227807,
      0.41798511149094,
      0.166068956811192,
      0.47411101953355,
      0.27188254573203,
      0.385389125963605,
      0.195400287691606,
      0.0277897286843651,
      0.303107781752166,
      0.376017518604377,
      0.56907233753865,
      0.199423404812047,
      0.412689363043792,
      0.277516837744763,
      0.350857465713691,
      0.383522165455252,
      0.317149966942176,
      0.431137857927959,
      0.453006298814776,
      0.475273387379333,
      0.404679017755586,
      0.481040194836184,
      0.392106883437228,
      0.500233045277706,
      0.611752995965217,
      0.355546266121639,
      0.682372555712024,
      0.440208978575194,
      0.482657361327246,
      0.235869639819096,
      0.217766296023407,
      0.190553518569671,
      0.398243747734548,
      0.456251259152996,
      0.213129028754822,
      0.257255816075929,
      0.292355942004834,
      0.0974538541061769,
      0.473125987779904,
      0.422903422827242,
      0.218358279032308,
      0.0488371814001985,
      0.287233365088796,
      0.482858336020615,
      0.299269688684257,
      0.578682381703995,
      0.619780359701338,
      0.186218950011505,
      0.660662438252303,
      0.359055894307877,
      0.282597122442937,
      0.337044977345075,
      0.578533241745623,
      0.385470377728899,
      0.179711453429007,
      0.238253014942357,
      0.405041143329105,
      0.288516209930817,
      0.526343969463208,
      0.192887269189634,
      0.248886980823777,
      0.0723554828715,
      0.212508022688007,
      0.54161415793236,
      0.238757851165263,
      0.292204220313325,
      0.318031333387274,
      0.327175018881134,
      0.565608490231892,
      0.500703553241099,
      0.278198079325642,
      0.377572878471767,
      0.467574825897773,
      0.47912810666294,
      0.41930117685476,
      0.500907619674594,
      0.540867821733326,
      0.402407560267487,
      0.558034091052934,
      0.578318458272425,
      0.301020278257495,
      0.467446168319409,
      0.481636959561572,
      0.368375592654809,
      0.541942963240046,
      0.546111661676731,
      0.36962070872183,
      0.482454175199319,
      0.296624340252559,
      0.562198792656564,
      0.442270280444159,
      0.452014555778907,
      0.376510506838436,
      0.387335913807678,
      0.570359677040805,
      0.485500375550898,
      0.356009400515994,
      0.392316673877429,
      0.296699814231891,
      0.348441272047527,
      0.529716481152761,
      0.41688569656534,
      0.602159307826517,
      0.613365306943643,
      0.370788983786073,
      0.587045188864192,
      0.480449023581469,
      0.337469545858834,
      0.435236497515033,
      0.406419689208657,
      0.388516476726866,
      0.507829958435031,
      0.494252957440918,
      0.423734932022036,
      0.339812600170468,
      0.568532612340384,
      0.50537014710518,
      0.582985869841619,
      0.321354540502914,
      0.301020306464039,
      0.470484365901097,
      0.609494941891704,
      0.60349809683218,
      0.514103920185627,
      0.360130576979315,
      0.463918565487121,
      0.427838357090964,
      0.513322998211662,
      0.461700292089178,
      0.345014208983948,
      0.405730017025774,
      0.439721549930677,
      0.43396158512582,
      0.301846996042818,
      0.617273820343432,
      0.267760482627256,
      0.309255962430306,
      0.648851085248718,
      0.623122392877329,
      0.501242814450405,
      0.62703945400268,
      0.632441762793942,
      0.573456983097606,
      0.150124715340519,
      0.250848022102525,
      0.00558362904741733,
      0.400358418741215,
      0.193839377606397,
      0.245413882416236,
      0.505842294913705,
      0.330119979735661,
      0.660455799962409,
      0.650641682961945,
      0.283480692478492,
      0.513237695217636,
      0.218224683244847,
      0.58023219034334,
      0.356497480965176,
      0.246992093815177,
      0.534288289809273,
      0.262896138674015,
      0.500695581028168,
      0.563821233892254,
      0.337730629774205,
      0.412880768881333,
      0.18630196882004,
      0.28660754033323,
      0.244476959096331,
      0.301576038987891,
      0.461039427804148,
      0.474458288485434,
      0.353361184188318,
      0.623519710110037,
      0.600919998184985,
      0.359839059036221,
      0.539450389654745,
      0.261279246224497,
      0.606417975180086,
      0.277771379673838,
      0.264388285945877,
      0.353667699937243,
      0.341598368622911,
      0.490982135915419,
      0.637561909241866,
      0.478635199761943,
      0.36031363249224,
      0.633612831122889,
      0.486106481336646,
      0.508962899570574,
      0.626476214785347,
      0.371871192193685,
      0.372905206397479,
      0.557713064966761,
      0.459223516924094,
      0.328071159174758,
      0.337244662043895,
      0.498168362932538,
      0.509492733214355,
      0.393109832791679,
      0.393781014323753,
      0.366476487257976,
      0.619805269938283,
      0.509628857732303,
      0.44409269335646,
      0.305170256717323,
      0.425647232426731,
      0.494466907694604,
      0.550919631071676,
      0.573679205881289,
      0.473490757622854,
      0.319028131641454,
      0.380951243031992,
      0.609555315487204,
      0.513122247520814,
      0.699653219270953,
      0.40703259138649,
      0.471631991692792,
      0.666086029130336,
      0.501431159740546,
      0.603942576345417,
      0.311170395280609,
      0.261361380560205,
      0.610433225328263,
      0.490036320559009,
      0.405392861441799,
      0.426169752193153,
      0.564976094498912,
      0.683626620220451,
      0.555617700101172,
      0.42784340657617,
      0.310500439989647,
      0.410225848827852,
      0.540296560828993,
      0.479171579816708,
      0.518404808151984,
      0.378931996190211,
      0.553310113095888,
      0.637440995285442,
      0.623260503746122,
      0.548651502184398,
      0.722713733760872,
      0.412265400267586,
      0.558375958616527,
      0.5290649102135,
      0.416035870030781,
      0.568398602390153,
      0.329911634881738,
      0.363207548276795,
      0.388857334667292,
      0.476020078714596,
      0.382999742846414,
      0.413235896903938,
      0.578278946682707,
      0.52440237916242,
      0.470523858424837,
      0.394421146516218,
      0.551690200918922,
      0.43913078962021,
      0.398305505971726,
      0.555956127816181,
      0.351664855902878,
      0.657527630663726,
      0.448563185409198,
      0.482050108067475,
      0.553815408502071,
      0.618351192298048,
      0.387709239209776,
      0.516706014952837,
      0.437083444892535,
      0.574151586559965,
      0.481068825401615,
      0.455631099167856,
      0.40183206657666,
      0.333788769465291,
      0.275847069528822,
      0.520226935832912,
      0.684084321584885,
      0.454055111832566,
      0.478021143599082,
      0.425662719848128,
      0.424202430752582,
      0.396148099428765,
      0.399930801557677,
      0.476283486596506,
      0.418906547924012,
      0.529512071935493,
      0.500483230193707,
      0.385147514245792,
      0.46420752872169,
      0.630412679803812,
      0.59667101434315,
      0.714562653702914,
      0.741464905923112,
      0.393891350164109,
      0.492048100145325,
      0.431532051547097,
      0.583958860413954,
      0.517065909143906,
      0.503192249987206,
      0.422615687341115,
      0.438753784441988,
      0.551040157947945,
      0.475588171578345,
      0.538198103416661,
      0.462533706042658,
      0.274717815418259,
      0.620216622810225,
      0.401772290955766,
      0.3176382573128,
      0.431977997121303,
      0.462865576625902,
      0.557900729026005,
      0.390326924940923,
      0.417326495211118,
      0.494610647462561,
      0.458515633760701,
      0.496344992703751,
      0.525894465169669,
      0.471968310506955,
      0.520044793170756,
      0.475302915135957,
      0.534148291559121,
      0.47859510816649,
      0.561395155164574,
      0.427875394619049,
      0.351336494017323,
      0.483683968929704,
      0.494338150053058,
      0.404002171776782,
      0.375716332016255,
      0.365855185390557,
      0.47943673219518,
      0.4940103754209,
      0.201853049798113,
      0.466437618220839,
      0.357836462022918,
      0.30936401963165,
      0.403286982670935,
      0.297777319203208,
      0.317918852152233,
      0.244574243502941,
      0.26596633399343,
      0.519268702460522,
      0.48268982410764,
      0.424662761778831,
      0.388580230123809,
      0.23919401678792,
      0.456465377668426,
      0.469225155422797,
      0.49852136143832,
      0.300508727110357,
      0.360274787165828,
      0.362773642682969,
      0.452539053035238,
      0.493632800698106,
      0.424697523925393,
      0.333292422743797,
      0.164547319556361,
      0.550525610631694,
      0.357083615376674,
      0.563805086447973,
      0.359373967154186,
      0.38638083110468,
      0.449138116763298,
      0.424893946001881,
      0.474325968099645,
      0.412826825698073,
      0.369645931443062,
      0.480609226879898,
      0.741895209286683,
      0.553004778558666,
      0.496339601035114,
      0.435871729282489,
      0.738171151195579,
      0.553642971082655,
      0.420995398815685,
      0.625315193777916,
      0.418733877199739,
      0.479570348871608,
      0.581862875826343,
      0.520427054443478,
      0.407710363714636,
      0.394237662496363,
      0.373798149184499,
      0.5955905419158,
      0.63377464753867,
      0.641252652676445,
      0.549121755457793,
      0.34041725626135,
      0.566877599348481,
      0.425492776556421,
      0.403714208519475,
      0.493371983707089,
      0.313238137852011,
      0.633709789329366,
      0.535998744465484,
      0.500718297521738,
      0.437584748994004,
      0.443378279228082,
      0.513175274485193,
      0.612418583839571,
      0.491269305579596,
      0.400554047973313,
      0.356131670443305,
      0.475880206010362,
      0.476569682567407,
      0.525660607519045,
      0.477114061577313,
      0.417357884532069,
      0.461265844459413,
      0.583607864409655,
      0.572413584368947,
      0.427147274646649,
      0.511422659045271,
      0.475823806678439,
      0.578316593791535,
      0.709123758737437,
      0.612265605698864,
      0.427886946154095,
      0.370671334267578,
      0.548932544806202,
      0.628412053918628,
      0.471040604933373,
      0.452657779897137,
      0.588829510990033,
      0.434236324858614,
      0.568854804186174,
      0.441833932090323,
      0.519027820974304,
      0.417146596795377,
      0.508691400519617,
      0.613199535738366,
      0.469154063346342,
      0.442127112200353,
      0.447961545622668,
      0.436295777570744,
      0.622021156783996,
      0.611276105015445,
      0.647155634233062,
      0.465342866907081,
      0.403680153987703,
      0.594843312864536,
      0.499233685795341,
      0.389624798447347,
      0.447924957555269,
      0.610262965982745,
      0.603853667867791,
      0.409862759225663,
      0.352412656978752,
      0.498036643287254,
      0.486949398510095,
      0.491803916383331,
      0.386156173629382,
      0.328162033556984,
      0.379249063029505,
      0.384265156908077,
      0.411349928042729,
      0.489210693587034,
      0,
      0.211119655567919,
      0.35077034078436,
      0.137423264454683,
      0.164076263781842,
      0.258328892405427,
      0.186053824478577,
      0.494864152306027,
      0.267427559568855,
      0,
      0.3106310658648,
      0.176685498530222,
      0.216801509524388,
      0.00361630218285259,
      0.13730827099732,
      0.371316576900765,
      0.363960302803132,
      0.511762834612519,
      0.163423676861763,
      0.152918136255555,
      0.0165206944248954,
      0.0847512068999168,
      0.127809105549245,
      0.0928339093656045,
      0.35818876490538,
      0.267908151442843,
      0.507508924519448,
      0.441976410336862,
      0.154731429739699,
      0.187617861646277,
      0.133515835065983,
      0.239535438695699,
      0.454456845246532,
      0.143413405548761,
      0.528329123996565,
      0.101516152316593,
      0,
      0.428005475097995,
      0.0775107372787358,
      0.26194138406477,
      0.0876356300817662,
      0.143796494954015,
      0.246842619104927,
      0.263845896862519,
      0.359426976996529,
      0.288168917644048,
      0.228961661889405,
      0.371509924016504,
      0.18860302294326,
      0.160510387495899,
      0.0999938257968515,
      0.290396666673038,
      0.609998599620863,
      0.236522658803369,
      0.438633245600066,
      0.28296583723182,
      0.330868901819712,
      0.385428104721984,
      0.232482814856463,
      0.476494005142785,
      0.354658569834188,
      0.534268960924483,
      0.295077423654379,
      0.487957953651012,
      0.404295648504254,
      0.447623551705584,
      0.399862942972867,
      0.649065888175558,
      0.370698878001496,
      0.589008659041029,
      0.500890762542751,
      0.232171131447325,
      0.277085178450864,
      0.162354721862268,
      0.470590987577212,
      0.423544488254493,
      0.175918393124076,
      0.397386972691902,
      0.483260106847013,
      0.115675991864304,
      0.524911024123604,
      0.268095036286794,
      0.264648275513744,
      0.058149448652955,
      0.174764114167697,
      0.468219334662218,
      0.360343177060023,
      0.593924246121938,
      0.543396690525417,
      0.203861769625384,
      0.584120728198047,
      0.49589270663264,
      0.307320074036527,
      0.461545794596157,
      0.297462381106988,
      0.398388181341982,
      0.192153380436203,
      0.270923927262478,
      0.323807068643757,
      0.278817854245673,
      0.542524577589675,
      0.192381345656537,
      0.261217114503464,
      0.0963879882884922,
      0.126375811597934,
      0.610088580455916,
      0.318034133352781,
      0.299967943188442,
      0.550269625918593,
      0.310858580393672,
      0.552260886753994,
      0.359365197386167,
      0.31402465166549,
      0.328385987302683,
      0.56429848686871,
      0.561517585055243,
      0.412444910706477,
      0.477248971771266,
      0.437375326980004,
      0.450723622221842,
      0.490835760857888,
      0.570414669924736,
      0.346943437749123,
      0.435643471249502,
      0.413996369523741,
      0.355812143247442,
      0.482873169465778,
      0.472185635660805,
      0.359725676669448,
      0.471640531812905,
      0.324310045046531,
      0.511680292347646,
      0.382153934075265,
      0.433096331500152,
      0.382440427834165,
      0.419018155565,
      0.597759831299234,
      0.407287586344568,
      0.567993709200118,
      0.335312992609924,
      0.559787875106298,
      0.377696994059772,
      0.44031692746049,
      0.629366450207567,
      0.591021873515057,
      0.602931058008331,
      0.351661784543867,
      0.541626326729552,
      0.424640529522829,
      0.351068289333865,
      0.326848281196515,
      0.341413028143605,
      0.365054959446655,
      0.454505855585201,
      0.49376182400149,
      0.339679123136,
      0.327101619205483,
      0.545984925190501,
      0.406168659482358,
      0.46159570041874,
      0.42902393446741,
      0.42897557548651,
      0.417180975643167,
      0.53372984115679,
      0.462277623880232,
      0.60235248855555,
      0.337180910208689,
      0.48035884297775,
      0.44076288181771,
      0.497810208127229,
      0.513875880668827,
      0.34249657106186,
      0.388492875072093,
      0.501782714015371,
      0.444212940360083,
      0.33668645298477,
      0.607069854513803,
      0.302367205715244,
      0.351832238494727,
      0.461636078001277,
      0.220187684923962,
      0.31300424668963,
      0.494415364287149,
      0.416491933385611,
      0.536053028929466,
      0.181546720271765,
      0.251754946113738,
      0.0270780426779168,
      0.419984216618146,
      0.197172802169366,
      0.477905476922678,
      0.454269699049251,
      0.16236540138785,
      0.429298038644198,
      0.412670178701144,
      0.173385387597286,
      0.469941436456668,
      0.190855242731301,
      0.48251448395964,
      0.362903387942937,
      0.593714989052358,
      0.359247934935085,
      0.392587258089245,
      0.454463389329659,
      0.483292908569623,
      0.303330133749684,
      0.413151395007597,
      0.261070911289217,
      0.357080782290486,
      0.259862532071795,
      0.316910985825617,
      0.3066856214965,
      0.280534317573724,
      0.336661334045891,
      0.493821933606601,
      0.564064379259249,
      0.292569999526187,
      0.45231101538857,
      0.243884347198826,
      0.370102224766127,
      0.207250303960446,
      0.332174244447398,
      0.34356309106456,
      0.302746747390009,
      0.449821522570858,
      0.373105572595945,
      0.431244696605996,
      0.392495108061078,
      0.369082593988257,
      0.471214299208006,
      0.457528354083875,
      0.550682315018949,
      0.40763273536713,
      0.366851718888593,
      0.540414889767837,
      0.405561456703163,
      0.364047085553207,
      0.332572973777341,
      0.5035341210993,
      0.55406507110797,
      0.341465060580798,
      0.598161200063538,
      0.579856083540189,
      0.432012825865412,
      0.503711543680582,
      0.394228615615173,
      0.396715942076918,
      0.319975586647569,
      0.496575595393743,
      0.548921588679867,
      0.493299087651857,
      0.439741927808747,
      0.359953250444194,
      0.390973156659241,
      0.583274959255014,
      0.484074104971164,
      0.528727395442008,
      0.328482221865419,
      0.288180667722201,
      0.40064546701389,
      0.445614602205595,
      0.501863429310876,
      0.322756177484689,
      0.267362978104047,
      0.557158471687273,
      0.482141395933351,
      0.344718569585606,
      0.352711830342492,
      0.460688372053025,
      0.489756849805358,
      0.549512488734154,
      0.406079361376932,
      0.30749426128437,
      0.46281522747906,
      0.527392952757086,
      0.449348128729834,
      0.496576494628967,
      0.239859764341346,
      0.584984854103549,
      0.606006400293752,
      0.465369422055533,
      0.440581568959211,
      0.422236447411076,
      0.416015632788443,
      0.47580020441499,
      0.583448353289735,
      0.621567550037877,
      0.574181193087248,
      0.601645273255789,
      0.371971179880093,
      0.619825010854387,
      0.377372929779495,
      0.362428918805982,
      0.584994664432483,
      0.398032342176492,
      0.494367699539364,
      0.51637312789916,
      0.373196713364857,
      0.67558536550832,
      0.485816950396923,
      0.401359767062405,
      0.61218211511394,
      0.396338917421308,
      0.482122501977016,
      0.491149579477777,
      0.507439854823485,
      0.484910712995554,
      0.458442930031258,
      0.380876156331796,
      0.421897539127722,
      0.54947619663376,
      0.500633575488079,
      0.421292794094787,
      0.488413372275474,
      0.454973269798557,
      0.290295833657882,
      0.327575408084482,
      0.410471042544175,
      0.649372733822955,
      0.46877128858636,
      0.460504485796095,
      0.407898292559537,
      0.37567226979186,
      0.393274251834338,
      0.362360586882798,
      0.350826311446368,
      0.408413437496518,
      0.524886561953199,
      0.543903528933721,
      0.534708798585141,
      0.45724219589699,
      0.429844970556093,
      0.552675246481798,
      0.677491126173485,
      0.633141818103281,
      0.420064372029734,
      0.356787810044165,
      0.401894710870196,
      0.557851467835186,
      0.432808550513667,
      0.500609933761104,
      0.308276276302922,
      0.501251739897232,
      0.497263802117897,
      0.430731308651483,
      0.443963254794592,
      0.38887155492536,
      0.303296824404947,
      0.493345160818742,
      0.400940160481292,
      0.348837425219554,
      0.41399579190208,
      0.37094785330624,
      0.548733605240129,
      0.484148374332475,
      0.464998303431302,
      0.60140284469076,
      0.538122269562326,
      0.592025021245147,
      0.442506439715092,
      0.369163918358217,
      0.494135923327295,
      0.476165537279394,
      0.52572808760246,
      0.433410586448969,
      0.543291749819941,
      0.421398117291151,
      0.291132360225829,
      0.454786429015717,
      0.461104299828891,
      0.437770881844848,
      0.34550808871111,
      0.471606850835967,
      0.48799465898709,
      0.451649951391147,
      0.176612864936453,
      0.373855221130892,
      0.217614533625415,
      0.280443107346214,
      0.321877239936615,
      0.294348053451451,
      0.272230271500234,
      0.248510668695422,
      0.263835000923975,
      0.39545896503221,
      0.426292659853206,
      0.559305537743442,
      0.305037445019642,
      0.369538052742782,
      0.401758449112569,
      0.406777782322169,
      0.317217668167498,
      0.330013742507678,
      0.667804385507374,
      0.378493097114525,
      0.556663241663335,
      0.598838047681967,
      0.378842291372829,
      0.275851393014834,
      0.170254121283938,
      0.593767531669572,
      0.340858989141082,
      0.454370544436754,
      0.356895216832246,
      0.309048347234429,
      0.486251668548206,
      0.444608064985028,
      0.394925358982037,
      0.400539913039109,
      0.417870895344599,
      0.521222454137183,
      0.720463170402243,
      0.546289485715986,
      0.452800584205759,
      0.422078871490218,
      0.600345690416162,
      0.518378317528844,
      0.40436021138147,
      0.615556920355382,
      0.39618532660416,
      0.382197771800176,
      0.529380949638169,
      0.530145374419671,
      0.425140944740802,
      0.464699083283064,
      0.388757181331853,
      0.582991323143968,
      0.635636261564649,
      0.505259428128318,
      0.557688745299561,
      0.361223653367134,
      0.488045656095725,
      0.447749355147883,
      0.513067633358216,
      0.406477521221192,
      0.353561697084177,
      0.582137541890806,
      0.513979794035358,
      0.467587217260841,
      0.385718454417381,
      0.707141888775665,
      0.503881807839266,
      0.598448354482481,
      0.443524575812545,
      0.374266651072968,
      0.35388166819964,
      0.371011056124556,
      0.378117963301471,
      0.458791380411375,
      0.464031312024678,
      0.427117185895861,
      0.469609498734732,
      0.596944040217288,
      0.561678876669833,
      0.4782997614673,
      0.48464492742846,
      0.412562225411194,
      0.535177219947995,
      0.677312680913088,
      0.525765708557789,
      0.398569106756372,
      0.479874460487991,
      0.467605371789288,
      0.488900644877376,
      0.433170385964057,
      0.450091377542014,
      0.542238827050373,
      0.464942656391975,
      0.495432413903614,
      0.559763139279155,
      0.537689184902398,
      0.485800154128822,
      0.51282213274094,
      0.598842458981825,
      0.546192520804271,
      0.747707667017364,
      0.628166402069149,
      0.438849712269456,
      0.555339858321538,
      0.558705601592617,
      0.565000059939851,
      0.502799576308136,
      0.599457940655463,
      0.551936129694662,
      0.513255873710938,
      0.381265146447219,
      0.400546741681381,
      0.408779554674048,
      0.562910271891433,
      0.426771034036608,
      0.399228942469165,
      0.360970331396674,
      0.351305371865482,
      0.499958405345256,
      0.417999249321909,
      0.305618446698314,
      0.402074708289927,
      0.350893957089282,
      0.37564295960067,
      0.418305578786107,
      0,
      0.237353589862727,
      0.658879468342148,
      0.472668372065685,
      0.356146991010838,
      0.353772309697115,
      0.164214419122412,
      0.310036176159398,
      0.312595760053524,
      0,
      0.328817069914131,
      0.094448541294265,
      0.241510075159208,
      0.01017301299941,
      0.133433398938155,
      0.344984953588003,
      0.227188153367234,
      0.443867555543593,
      0.201152872233764,
      0,
      0.0458998723832194,
      0.0953254277472072,
      0.124427573196133,
      0.0810464188539553,
      0.345739977931154,
      0.222912139730276,
      0.61025538265193,
      0.390886147936464,
      0.21023952216336,
      0.494395372355373,
      0.380998807689754,
      0.283163772251641,
      0.324460834249918,
      0.194479781701995,
      0.514935630413603,
      0.170697317974542,
      0.212597487205125,
      0.331891611093807,
      0,
      0.229590744378132,
      0,
      0.161433848497961,
      0.268638841629136,
      0.181198406199412,
      0.475285003229438,
      0.253164794132676,
      0.13447190523748,
      0.363611854399533,
      0.131166695761664,
      0.188267709830122,
      0.269428395094405,
      0.465613433198255,
      0.581306685258305,
      0.33302064486638,
      0.388236504177205,
      0.244421139789222,
      0.320228503997262,
      0.36157006367834,
      0.181416830538489,
      0.45152695794229,
      0.428772759148687,
      0.505318406453774,
      0.345559998316904,
      0.46844409730169,
      0.606998279803285,
      0.5419529229909,
      0.563982923130673,
      0.69699861347532,
      0.385497534065596,
      0.64846256690512,
      0.521307097972451,
      0.19767987609353,
      0.203414761207771,
      0.166170242427678,
      0.477159389760805,
      0.417518682805588,
      0.245760236587425,
      0.528678221427276,
      0.480991704028129,
      0.117625386051124,
      0.506326643458687,
      0.158693302961884,
      0.314398313645887,
      0,
      0.172557439565918,
      0.541025379805587,
      0.601089205134963,
      0.567768694660925,
      0.294940531923448,
      0.290387014291111,
      0.615427527198834,
      0.668421924679057,
      0.323935567735633,
      0.525001202445893,
      0.358893741486487,
      0.412580668709832,
      0.357855555104183,
      0.287918636318046,
      0.409194011405799,
      0.240408747370881,
      0.551574327375305,
      0.195451279039996,
      0.333258091790886,
      0.122967304908295,
      0.151107869928846,
      0.57260050061319,
      0.20275276355097,
      0.291085206413257,
      0.562874335882469,
      0.370233437165799,
      0.584534101336657,
      0.309981850264581,
      0.496485687224949,
      0.405513694993018,
      0.580700624281963,
      0.589005392504553,
      0.605752644780428,
      0.537353359584126,
      0.547121602199849,
      0.45319517645551,
      0.442891838982519,
      0.551982661198135,
      0.379493866460938,
      0.426258697028187,
      0.519178376921876,
      0.322540040834217,
      0.432778619765473,
      0.389792878820526,
      0.329173117546276,
      0.420254766882345,
      0.286655457901325,
      0.38106803712419,
      0.57082818575524,
      0.526782264244739,
      0.540639028554901,
      0.527398037232148,
      0.617390099781102,
      0.4053422921462,
      0.534361912707072,
      0.559545697428065,
      0.629757277942204,
      0.426430817156887,
      0.395290778443487,
      0.639866861626407,
      0.438383907074467,
      0.554449829000809,
      0.374373155843803,
      0.587312902339587,
      0.558163934877081,
      0.419213426624935,
      0.299386213741417,
      0.334008775676394,
      0.474222288474461,
      0.525491803833676,
      0.526160040089817,
      0.275606353053488,
      0.336056583147597,
      0.559116197352993,
      0.445517987454112,
      0.571709941920161,
      0.529423876488653,
      0.592814941970388,
      0.488001502251425,
      0.517476846564185,
      0.406643796654243,
      0.491828510768465,
      0.422615468049061,
      0.466266906759581,
      0.439012630438215,
      0.457351643202542,
      0.545733853496274,
      0.276894860399291,
      0.434040960052509,
      0.681328256274774,
      0.700234329563733,
      0.577682542234215,
      0.327340231715778,
      0.324328655542943,
      0.3920490614729,
      0.377907750142232,
      0.17786558451034,
      0.301455925672847,
      0.417164388013843,
      0.376203299009423,
      0.461294019290192,
      0.25953608668997,
      0.231499313205288,
      0.0259494228562743,
      0.370238481627479,
      0.167664491593847,
      0.570069535603187,
      0.417376736226043,
      0.203848800439336,
      0.270211015026415,
      0.392643361021294,
      0.1644349751716,
      0.487164052825714,
      0.253442871107479,
      0.492611530680593,
      0.311793931387028,
      0.620442990348411,
      0.459739964000871,
      0.316730978193607,
      0.485737231849363,
      0.495085456554992,
      0.337787275162631,
      0.315995638855202,
      0.336983000284048,
      0.404755831923291,
      0.271220395202848,
      0.316956479774882,
      0.313346280311586,
      0.391220670262262,
      0.417132323649512,
      0.480012506943748,
      0.23789894283605,
      0.552880890428356,
      0.362729654642995,
      0.276031642740476,
      0.348785329181962,
      0.299400753252368,
      0.321803273746342,
      0.396212045316835,
      0.312051208176193,
      0.423376028341921,
      0.422426813124197,
      0.417189890145044,
      0.391027866888123,
      0.399240339058447,
      0.495551039167998,
      0.595661507161751,
      0.404551227439486,
      0.396608319960638,
      0.36577340060634,
      0.483242482342185,
      0.358098864879098,
      0.38018375204843,
      0.237921353531161,
      0.409073512577891,
      0.521316630430311,
      0.464902791019458,
      0.497969463271863,
      0.550928415034162,
      0.315031717573586,
      0.491904566354441,
      0.340118979139821,
      0.377695739799688,
      0.260097193139506,
      0.756453043374783,
      0.445971123617559,
      0.427892923973133,
      0.400100646678728,
      0.393664053807291,
      0.427858489515597,
      0.59690509835736,
      0.518370926029119,
      0.332732007141215,
      0.357119256790033,
      0.30300674262685,
      0.34835650788189,
      0.388308305112625,
      0.420516486061479,
      0.347623570875757,
      0.259715770159494,
      0.505511709751192,
      0.451740144533667,
      0.350143876805221,
      0.384448138738644,
      0.236221591112899,
      0.45706470930262,
      0.517305718545338,
      0.548463819377493,
      0.343959135758326,
      0.596305561467727,
      0.533918960240753,
      0.349863034261199,
      0.492186446954062,
      0.307624609684819,
      0.629347875133071,
      0.518401585536541,
      0.557565855314672,
      0.726155678626563,
      0.52555405335255,
      0.615269209794418,
      0.633649411153318,
      0.581685998103958,
      0.708343489477459,
      0.627836798944599,
      0.60485287837205,
      0.297385256387619,
      0.631197716749747,
      0.406364434009305,
      0.357394599953115,
      0.551090727527474,
      0.323740585147631,
      0.506677604459598,
      0.496475170275527,
      0.347702541807833,
      0.698535440086149,
      0.52999393984596,
      0.387936615696024,
      0.616183901386864,
      0.62897414376151,
      0.402294628969506,
      0.443871571018573,
      0.506581530978856,
      0.472033962536121,
      0.383531885247649,
      0.598953487957674,
      0.354822725845574,
      0.614347635764223,
      0.535701120588507,
      0.420894232007979,
      0.572894288447491,
      0.570915273304688,
      0.278901896974283,
      0.333292289497038,
      0.447205108591725,
      0.592221912702831,
      0.466005709070011,
      0.424000181656166,
      0.437796907617527,
      0.473816849366414,
      0.579495208208999,
      0.336280625396539,
      0.54609620656143,
      0.357383627379707,
      0.413607266680597,
      0.458752815369014,
      0.572117447122784,
      0.424020524530816,
      0.496685762025787,
      0.580886580362917,
      0.478379689027183,
      0.408715138820794,
      0.553015477506195,
      0.484697824325994,
      0.368032435314312,
      0.603606876437893,
      0.431659720032166,
      0.537477416235584,
      0.433302702985404,
      0.478488708789122,
      0.34990035625317,
      0.551316147975994,
      0.427921283832856,
      0.467512518687703,
      0.446022282301367,
      0.588774153960367,
      0.499170165493969,
      0.514151955747761,
      0.514818885660664,
      0.529473029726775,
      0.568611913669853,
      0.535288484919004,
      0.556374263608659,
      0.649670014760132,
      0.751480962950922,
      0.619535430198951,
      0.481187145559981,
      0.369873517689502,
      0.492663062311873,
      0.594674341205781,
      0.511792632491193,
      0.336093850197561,
      0.524959063759931,
      0.471932707170979,
      0.565253065684467,
      0.475537294965451,
      0.421716568667957,
      0.385773483388427,
      0.456207409840305,
      0.528596933943598,
      0.557084616382178,
      0.502386377534747,
      0.482847333447537,
      0.39043242227834,
      0.275497971117608,
      0.312576193379117,
      0.379633927436755,
      0.310938648755358,
      0.243039945865616,
      0.410803613243389,
      0.190857908988753,
      0.38844635811132,
      0.491240928618841,
      0.482687130454642,
      0.291622912799371,
      0.537026484545069,
      0.46028907963605,
      0.399847215757068,
      0.521938763988634,
      0.349366611763455,
      0.635504115303408,
      0.389698657571301,
      0.62570457574428,
      0.738681203759679,
      0.447235722802287,
      0.353213388587819,
      0.134371148536165,
      0.581507515810581,
      0.336882885736097,
      0.56565547316656,
      0.366380643630388,
      0.279746161346155,
      0.515811232482978,
      0.442886145741036,
      0.369175891706186,
      0.541339927374456,
      0.444212894052991,
      0.502289512198351,
      0.652544944822214,
      0.347342023772176,
      0.533236256607683,
      0.473378451318623,
      0.590554170761151,
      0.561097232038797,
      0.43754248691792,
      0.468907934514666,
      0.400847113313263,
      0.443061640979789,
      0.543948334661315,
      0.490019723438683,
      0.46631509845658,
      0.481206279932765,
      0.688665165872374,
      0.612862689327533,
      0.541680512478439,
      0.535132551379097,
      0.514954201430717,
      0.609109318742629,
      0.580227708998473,
      0.480360466363295,
      0.537463389727314,
      0.518686844160344,
      0.634404233983904,
      0.550050213923208,
      0.410695139939039,
      0.447659757625463,
      0.439500021785609,
      0.653416233135959,
      0.474493445005605,
      0.609875762154905,
      0.56413278775018,
      0.465097193520701,
      0.31527077306694,
      0.384243124057397,
      0.372514510606301,
      0.484968248102027,
      0.442414040016213,
      0.369688868670189,
      0.432109309648257,
      0.586663656398223,
      0.576149603732857,
      0.591736980827108,
      0.551299086862263,
      0.374713315078189,
      0.45836377907245,
      0.664754745470422,
      0.466892795080518,
      0.407172194866162,
      0.484118356130869,
      0.466283198320412,
      0.459752610164625,
      0.41357504948686,
      0.444326349798641,
      0.550192732459002,
      0.579580261237755,
      0.588614901215463,
      0.630433980592997,
      0.639011675480258,
      0.497918822532835,
      0.505415670300673,
      0.547167760047509,
      0.680269493210401,
      0.742706531041228,
      0.667831838920588,
      0.454063792562985,
      0.618595610131734,
      0.584299602120934,
      0.638617157700869,
      0.616157673406915,
      0.631022781508538,
      0.631837366372908,
      0.596145404267841,
      0.562827580166699,
      0.534838545713284,
      0.505294682199815,
      0.598638230439224,
      0.54330774342336,
      0.39514874791695,
      0.378279656701555,
      0.573322926028711,
      0.494840960991206,
      0.41425523975557,
      0.347560912849271,
      0.507598596173622,
      0.51855831528805,
      0.295597626426261,
      0.391476863944293,
      0,
      0.346498268513698,
      0.564878749104135,
      0.390047315041681,
      0.268493383329429,
      0.408633869796728,
      0.145261283768559,
      0.302734357641869,
      0.475931560834571,
      0,
      0.353979693616634,
      0.14646256366305,
      0.219176257841076,
      0.0345476839502808,
      0.159809245084131,
      0.363339138053099,
      0.243772189153964,
      0.375140018769012,
      0.185812023785178,
      0.189335896056088,
      0.030190868861327,
      0.131523949406969,
      0.171517922373146,
      0.0816279948418994,
      0.315358442410842,
      0.144062480448861,
      0.420502948344789,
      0.310061053246508,
      0.175153407395003,
      0.402694344668803,
      0.300788588686495,
      0.257518355869075,
      0.251940501001488,
      0.170888396134163,
      0.357000716326208,
      0.393629459130218,
      0.137118076685017,
      0.448386093534483,
      0.110900711646354,
      0.299647876844447,
      0,
      0.13688969536913,
      0.290878651214522,
      0.274634223730091,
      0.332998850236382,
      0.367447052735842,
      0.190777841972983,
      0.349977656830909,
      0.259084901032105,
      0.14249340255445,
      0.38919519437195,
      0.444345468763729,
      0.56779103116006,
      0.267300562038541,
      0.374580841316854,
      0.311347496752109,
      0.36318226638439,
      0.410289419035012,
      0.215081255833816,
      0.495073414241016,
      0.393317283371918,
      0.451398943276884,
      0.346361123476586,
      0.43826558460952,
      0.539110921367322,
      0.544526585482012,
      0.485153824759364,
      0.444337543366026,
      0.415978009607945,
      0.480483928411311,
      0.466820250632183,
      0.216543833657055,
      0.186034864432903,
      0.314627342125219,
      0.387761294781135,
      0.459306424719071,
      0.190416471608632,
      0.436830347951628,
      0.279917390265086,
      0.107417219499936,
      0.50144647480771,
      0.284946203826332,
      0.348276902409516,
      0,
      0.206171708382081,
      0.491299522081151,
      0.52362973641344,
      0.34792664815407,
      0.338367355322851,
      0.243710996512723,
      0.545956153921193,
      0.632338753565503,
      0.56616469910989,
      0.496680484655595,
      0.402749949138996,
      0.418244502692708,
      0.361832417598817,
      0.325205788838127,
      0.399626730484644,
      0.267737126678161,
      0.533510839703868,
      0.223646742481702,
      0.301410470695178,
      0.0929722879981277,
      0.133490272073097,
      0.513516537861828,
      0.159870402923585,
      0.332226253387847,
      0.370822475215589,
      0.234134038198791,
      0.598126994359994,
      0.39488274793825,
      0.533547980529026,
      0.43471332878733,
      0.381037397072406,
      0.534033928706331,
      0.565325899004124,
      0.460890377989955,
      0.47893871470776,
      0.473948519662219,
      0.498841222865565,
      0.541190961418938,
      0.469241993140442,
      0.486191502062541,
      0.466360455242522,
      0.372721789861316,
      0.518923262473926,
      0.598106598363935,
      0.357984374354718,
      0.430633694972056,
      0.292484152930176,
      0.402302036831506,
      0.508470344645563,
      0.473981261226774,
      0.433856557572941,
      0.443566758735446,
      0.591668542132827,
      0.475926772003674,
      0.3824308764119,
      0.462801015653615,
      0.466671212517472,
      0.439034249381104,
      0.38949832591438,
      0.435391311858198,
      0.472176292047009,
      0.475519519452486,
      0.375034796531733,
      0.535664552099172,
      0.53598760921392,
      0.386905901256071,
      0.397593521528981,
      0.36159020814066,
      0.444564005618995,
      0.558488172359531,
      0.514493102925673,
      0.483701972188702,
      0.348423623752972,
      0.517952977832574,
      0.40985961737644,
      0.572812385500114,
      0.426317093209473,
      0.543677328491247,
      0.551290648984807,
      0.567922842729269,
      0.418273351600088,
      0.417071808793737,
      0.463758280839365,
      0.385882519493592,
      0.469001758691145,
      0.487226967196864,
      0.446509055586442,
      0.31755264043766,
      0.435403651635614,
      0.561843043520352,
      0.631953258681932,
      0.522450203438744,
      0.288955427189827,
      0.484499393174104,
      0.570232568319296,
      0.263299950871734,
      0.131837254985608,
      0.279190574976284,
      0.308765725435195,
      0.370332747959642,
      0.421529611072586,
      0.222484782143229,
      0.286380210841712,
      0.0130945459996361,
      0.416530301143924,
      0.196230272523392,
      0.335765421962213,
      0.327121924287738,
      0.208917878362897,
      0.281489153766611,
      0.416211383142182,
      0.208943271153213,
      0.434640841044762,
      0.256913331521069,
      0.480858779012966,
      0.284010497491252,
      0.277717279175512,
      0.439682891004986,
      0.176336034509683,
      0.494774563548112,
      0.485707588617901,
      0.321513861805216,
      0.278697699630921,
      0.248947801001516,
      0.340180682035264,
      0.23429360458494,
      0.368329881155948,
      0.317995943034444,
      0.565808041233139,
      0.616675554212381,
      0.436442325532329,
      0.252907076466172,
      0.552223593111584,
      0.355118618553267,
      0.383777784301486,
      0.350609743196759,
      0.256104802444228,
      0.285234692997045,
      0.58322154841864,
      0.354182168518707,
      0.466876770027787,
      0.422224808596255,
      0.621541329838551,
      0.515918244159289,
      0.409963114568362,
      0.494334270690564,
      0.56762486983294,
      0.394022931127041,
      0.401226849000756,
      0.352445998730354,
      0.467095350734006,
      0.326999630251028,
      0.463129749944618,
      0.326315505154107,
      0.43039235076574,
      0.514991303530695,
      0.475496304317942,
      0.315361453015525,
      0.349595168033639,
      0.348134857712519,
      0.542952298632023,
      0.450393779445444,
      0.394896039818676,
      0.306023294891702,
      0.66875189459423,
      0.513012559552253,
      0.459916038847309,
      0.433955228247989,
      0.546197612888447,
      0.427371860601052,
      0.55738579095241,
      0.438306736196402,
      0.399141609891197,
      0.372876337546629,
      0.479039032946485,
      0.334159730877347,
      0.372436323948677,
      0.375766644883657,
      0.318817340349179,
      0.332694540927198,
      0.580379017364145,
      0.405487510137803,
      0.372052765708958,
      0.393202171625377,
      0.316739877723971,
      0.4341933599176,
      0.411253048522857,
      0.503137969143949,
      0.387090032468743,
      0.552886254165248,
      0.552628274871226,
      0.335647598339704,
      0.496265837620458,
      0.380122438397132,
      0.62622649419568,
      0.523972483043039,
      0.511870276598473,
      0.748718059416152,
      0.501193444203988,
      0.698999420868779,
      0.701357298670241,
      0.489748423037941,
      0.539341826264241,
      0.679581387337651,
      0.366374175408248,
      0.380373430072831,
      0.4804471796343,
      0.379015182443125,
      0.356766499968471,
      0.356627405860627,
      0.318274949028011,
      0.510007762630868,
      0.43530278730374,
      0.393393054801165,
      0.691777770726386,
      0.541742992468624,
      0.368668394847046,
      0.593500258758064,
      0.742706066438448,
      0.512141347844783,
      0.465561274227809,
      0.490071965514135,
      0.533381818288134,
      0.422860864739331,
      0.597301931500053,
      0.386753863294977,
      0.403001151302904,
      0.504594004277198,
      0.451090896666328,
      0.595314010587611,
      0.475723827222626,
      0.357868312395755,
      0.319850739333231,
      0.645714293169605,
      0.456719153406442,
      0.518993384840607,
      0.461464387467386,
      0.459969556930806,
      0.473582227643849,
      0.709860399580787,
      0.392777382024364,
      0.65088764875009,
      0.427782581458786,
      0.418750194772647,
      0.39851378185677,
      0.447534521833014,
      0.456485449078708,
      0.508546117810008,
      0.580438969014833,
      0.447179876285217,
      0.456445147120378,
      0.471964376190188,
      0.471153710454664,
      0.400000727544346,
      0.60624366270207,
      0.476224512194759,
      0.414536012316306,
      0.382233469175236,
      0.509840033394119,
      0.386111236182546,
      0.473694923928566,
      0.421777477602625,
      0.529979896386005,
      0.433967429443048,
      0.593964375969132,
      0.435673403428612,
      0.437102887215071,
      0.425519203968008,
      0.661715170415806,
      0.559076366568572,
      0.475665489534133,
      0.506634933383007,
      0.571878140015698,
      0.686170129054997,
      0.578651554501051,
      0.57406016628798,
      0.359491808815293,
      0.474813940401584,
      0.535206569337282,
      0.467659614280643,
      0.377668681281407,
      0.530280048068854,
      0.42646977868838,
      0.648727858031179,
      0.436560151752973,
      0.445999844033343,
      0.377917935018962,
      0.431317867318411,
      0.378482948684613,
      0.548293410462808,
      0.505710034755895,
      0.482896519619787,
      0.400212388229538,
      0.264182505670572,
      0.344382443493711,
      0.355027053450186,
      0.271411281033401,
      0.268091776862057,
      0.539529016765073,
      0.241176207266346,
      0.4147014597941,
      0.428797926826145,
      0.32628655839536,
      0.387662542933371,
      0.554178336333997,
      0.458192138826162,
      0.408520448186879,
      0.571007261079473,
      0.336678063711047,
      0.353326746045883,
      0.430110141050076,
      0.605456610480467,
      0.557693852004158,
      0.436221852728298,
      0.441761783505531,
      0.157002314747455,
      0.592765439733963,
      0.343375630009085,
      0.634860903227962,
      0.421326953257332,
      0.397883782402674,
      0.526368302795825,
      0.426536608923489,
      0.430080347588733,
      0.718467492215351,
      0.337023888097999,
      0.531745293329134,
      0.52345647316854,
      0.389289114117127,
      0.485487214297229,
      0.456393269142394,
      0.602555645965234,
      0.560836625626308,
      0.427175057943121,
      0.437025194100755,
      0.39434596967599,
      0.511037605383449,
      0.472879567563262,
      0.442325549545924,
      0.69863360517027,
      0.421147433028703,
      0.772394019487911,
      0.56873707997198,
      0.44329932725347,
      0.499574123265982,
      0.437001079761496,
      0.628907782610868,
      0.565888866877667,
      0.473894218662644,
      0.483157666352587,
      0.443428191347368,
      0.650632648889255,
      0.570656037764245,
      0.405589533971434,
      0.450167295893255,
      0.641159043840885,
      0.486160798501832,
      0.485020093537894,
      0.57765963542202,
      0.575125340427243,
      0.469595476469139,
      0.399653504760588,
      0.377643323906863,
      0.479448705882547,
      0.459890952514842,
      0.486989372420459,
      0.373084635570163,
      0.41908602606686,
      0.532005410777674,
      0.549152112051417,
      0.546453267967633,
      0.572700925140028,
      0.395529178982247,
      0.481836532207349,
      0.599267683684431,
      0.445868813036938,
      0.465001423169013,
      0.38646361667327,
      0.507744602857547,
      0.440576921190987,
      0.443362924657348,
      0.533255018951467,
      0.668564150238729,
      0.593707379758038,
      0.593558171187111,
      0.620110424869351,
      0.623287677491604,
      0.47345868405284,
      0.537797954525793,
      0.537583706168901,
      0.707617180710905,
      0.496390062588698,
      0.517889021276425,
      0.424960047759582,
      0.635652112442428,
      0.611285875489031,
      0.471699607939383,
      0.637529638117455,
      0.574077113815803,
      0.628854451386081,
      0.586213573109623,
      0.576746297211651,
      0.587358411894504,
      0.451336205958298,
      0.558874451062783,
      0.484020012728516,
      0.38693404356177,
      0.409184246292805,
      0.611207387512798,
      0.542579009937305,
      0.390966721221654,
      0.38565531232348,
      0.494981018216304,
      0.457984816428681,
      0.329938112953478,
      0.405719864764837,
      0,
      0.294153083228044,
      0.243174297361788,
      0.182670634130723,
      0.167963135722674,
      0.309355650423102,
      0.167413699248932,
      0.482351994261296,
      0.488655759873473,
      0,
      0.361077025151691,
      0.188023152827918,
      0.168153281328656,
      0.0076329952749227,
      0.14606940909448,
      0.392192290253622,
      0.2720029582916,
      0.293701762882979,
      0.150609748600702,
      0.217909075640126,
      0.086811807877818,
      0.099693570570986,
      0.20250532520724,
      0.182513348659114,
      0.263898961910818,
      0.152179390878648,
      0.36493346245958,
      0.374463003295877,
      0.158492677738757,
      0.140006816163886,
      0.179387883574986,
      0.251153803116201,
      0.374995217956474,
      0.0827520224121487,
      0.356362100144477,
      0.466202355031984,
      0.0369213432150041,
      0.539557700054722,
      0.11992434627093,
      0.238381345670823,
      0,
      0.179197969375661,
      0.232602477212165,
      0.342902840105373,
      0.24967976431965,
      0.282490157167101,
      0.22211257510033,
      0.40645225946399,
      0.169248687102321,
      0.110214030937464,
      0.247421368541644,
      0.274976790295301,
      0.590769760778533,
      0.207141676446424,
      0.31638134661783,
      0.316168920576976,
      0.402878256556761,
      0.425801149297014,
      0.243844533890964,
      0.484304447142301,
      0.402519394297211,
      0.499591452856073,
      0.338247336196654,
      0.499027836365296,
      0.414977106606782,
      0.54458596821367,
      0.458783784625246,
      0.415441708949574,
      0.371481054780396,
      0.267210901786789,
      0.410808073868054,
      0.291814029008219,
      0.21576444408094,
      0.312113660339769,
      0.372854228857052,
      0.46949779609408,
      0.219433317122708,
      0.277934188055714,
      0.250564306613093,
      0.0987142249761349,
      0.516727643661158,
      0.317479218391081,
      0.274486713894741,
      0.0450876649716411,
      0.194556214970004,
      0.432428689231058,
      0.26580061492131,
      0.438382457251602,
      0.342779175994549,
      0.198090975113557,
      0.538158675793674,
      0.428701528936898,
      0.565068129287677,
      0.4595868450371,
      0.336101085346202,
      0.418529044679784,
      0.216626364722695,
      0.313384613334093,
      0.401896587233115,
      0.293523152011148,
      0.525338167244125,
      0.199033150348917,
      0.243799051370376,
      0.0942793546762492,
      0.246013843426271,
      0.519197787972284,
      0.286121329081802,
      0.352802268018504,
      0.310186942248402,
      0.201892258529262,
      0.544163871333065,
      0.365328350363753,
      0.341953792283839,
      0.424660610241603,
      0.431908063306175,
      0.503055678463564,
      0.444643177349031,
      0.455724027497954,
      0.371620498717762,
      0.475894711741007,
      0.53823266420924,
      0.55486187225378,
      0.421734596089027,
      0.480848554107673,
      0.385675264088114,
      0.41287445645928,
      0.482080794743918,
      0.586090204092102,
      0.382837524353999,
      0.423014824402999,
      0.328133090699907,
      0.388099838424738,
      0.354043857842428,
      0.412910638231691,
      0.349430200979056,
      0.33580686688755,
      0.591685713718808,
      0.497691059502793,
      0.347935155676378,
      0.397062775125881,
      0.396929116627709,
      0.432881472937672,
      0.3712857733469,
      0.465089941994982,
      0.581570209967857,
      0.528643925067891,
      0.372445772881927,
      0.46283866441892,
      0.38999475489249,
      0.353957348239099,
      0.362544569310044,
      0.369834821862989,
      0.380073531922995,
      0.570848908397513,
      0.569432077265011,
      0.429656443057464,
      0.338914011109198,
      0.528793566181997,
      0.383362606009329,
      0.608194115339789,
      0.403801581393176,
      0.353277870186675,
      0.498516647604371,
      0.614927313977867,
      0.439434483229147,
      0.401677930727749,
      0.439562497517608,
      0.432104333887383,
      0.43690841124409,
      0.456105223529086,
      0.492464239319552,
      0.533704796984801,
      0.415049290892125,
      0.42504258869136,
      0.510484647003596,
      0.325899069524911,
      0.325502379740027,
      0.679847686867932,
      0.688603783351087,
      0.329257881100432,
      0.202727521913368,
      0.322223950509827,
      0.315953345144223,
      0.4598882842932,
      0.430714062099816,
      0.209804360453846,
      0.262028027707009,
      0.0367420405232626,
      0.47232787578553,
      0.240964372340353,
      0.176777195080838,
      0.383329709643702,
      0.223088745212922,
      0.373645236066427,
      0.427665743083223,
      0.253672036316361,
      0.345338419064178,
      0.22548904951559,
      0.504577935105322,
      0.33573102805619,
      0.17080574515142,
      0.431562098422349,
      0.359505595671924,
      0.530576357726447,
      0.512535685236777,
      0.345452512113549,
      0.306620221478127,
      0.224937640641338,
      0.374386217593737,
      0.25907230597762,
      0.365865690095597,
      0.297887955920174,
      0.450179518823246,
      0.621781425702956,
      0.487103048181288,
      0.298908434726906,
      0.305465566264683,
      0.320596706847567,
      0.361509103372665,
      0.394005626333106,
      0.232409736701735,
      0.323815728176191,
      0.670473367492893,
      0.347966153128061,
      0.531363639318332,
      0.415629089813477,
      0.636263872080556,
      0.596363143990894,
      0.441510553588459,
      0.493332346994389,
      0.414339900028076,
      0.376826212869597,
      0.378523951433762,
      0.330380911453866,
      0.458333382656287,
      0.304826863304293,
      0.422413912480905,
      0.323571248311536,
      0.490215929210989,
      0.562198966779693,
      0.404755010311349,
      0.362458473817225,
      0.320683251304122,
      0.375525512825339,
      0.484165022731369,
      0.63398527263022,
      0.375882096646488,
      0.331561622665459,
      0.397808513043948,
      0.521014908096369,
      0.619036354252119,
      0.464856455507934,
      0.518548179007232,
      0.39547942402616,
      0.575121833157522,
      0.373545397531154,
      0.381750607870058,
      0.426888941545076,
      0.624615121001775,
      0.34673454246856,
      0.312967322779196,
      0.465838091339482,
      0.331863256058871,
      0.33397428792523,
      0.566218337776538,
      0.39383597475428,
      0.318008292260641,
      0.396701886575055,
      0.355485172022276,
      0.413027895073153,
      0.426027384584813,
      0.418701021867077,
      0.342921190827675,
      0.505282833966804,
      0.546641612852744,
      0.459816628003328,
      0.518457994309113,
      0.329522862419378,
      0.531854845932929,
      0.535112428514128,
      0.513937560206415,
      0.574953121098755,
      0.502929598888145,
      0.592180576322438,
      0.559760288423762,
      0.587700476268955,
      0.416865140849165,
      0.669658108196617,
      0.353275945275681,
      0.357800583482431,
      0.38898086384507,
      0.39592525078198,
      0.351005338581745,
      0.285784899367724,
      0.564423237251492,
      0.512099149754573,
      0.435619428233804,
      0.41122296686481,
      0.658016924175749,
      0.466324490437238,
      0.357459763691819,
      0.524120970926953,
      0.638696737927707,
      0.595071434672354,
      0.510043152301873,
      0.558369319775628,
      0.623817912992303,
      0.470681614292826,
      0.459216681637962,
      0.416301101745254,
      0.332193739740978,
      0.540678676359378,
      0.431099252616617,
      0.588514860510409,
      0.428707500056198,
      0.344446286481247,
      0.320074296784588,
      0.724859637869034,
      0.453483489014935,
      0.492665850964162,
      0.51379620438606,
      0.470742962129876,
      0.398482974729423,
      0.626334506381786,
      0.408883838759468,
      0.589456215597296,
      0.448554538175246,
      0.460892296130681,
      0.434330504470401,
      0.35802396183508,
      0.42510961663965,
      0.697896402198268,
      0.650987845086709,
      0.470029851425525,
      0.542625568665506,
      0.429499594061284,
      0.384741163149726,
      0.434290166090502,
      0.480394405344436,
      0.487221850813767,
      0.454706614226561,
      0.402553949994118,
      0.526288695301895,
      0.382979373684497,
      0.351636817180235,
      0.396044034769686,
      0.502398860506272,
      0.310196236307249,
      0.626079496401246,
      0.401164150982413,
      0.413958338003743,
      0.431619761811305,
      0.608622313600066,
      0.502066950915873,
      0.523339533964441,
      0.590896456055004,
      0.464637915828724,
      0.501894297443362,
      0.57677534778774,
      0.579569916549691,
      0.382566376683605,
      0.490435747624338,
      0.513450531173962,
      0.427367335782183,
      0.463574891706878,
      0.519430752655284,
      0.439138883100637,
      0.404261672031618,
      0.448697497017663,
      0.415961404005404,
      0.415588803430842,
      0.33793668933868,
      0.390084915596011,
      0.513582364190618,
      0.427344956131229,
      0.285650822077492,
      0.375236962475243,
      0.23552294543023,
      0.309860847657129,
      0.322311515636749,
      0.257698326290333,
      0.283312670878395,
      0.433651413366393,
      0.319473698844939,
      0.523242952155045,
      0.465046771430835,
      0.300360220253988,
      0.525279802343415,
      0.301524511862685,
      0.458975791175592,
      0.415673999803428,
      0.344552622103195,
      0.325716808423032,
      0.347533041466141,
      0.444665216341085,
      0.526965624036174,
      0.387924370487868,
      0.292780497411675,
      0.397780287990952,
      0.189708672479295,
      0.572866541034064,
      0.451182684719994,
      0.660532355757513,
      0.493201456288831,
      0.335420799781488,
      0.505565837070947,
      0.431819682318422,
      0.403648983806353,
      0.654576036046551,
      0.368493212827027,
      0.533390812105708,
      0.438980256437147,
      0.367955369517001,
      0.402124400543483,
      0.455229441583076,
      0.576030648804067,
      0.546883831927553,
      0.41215903391059,
      0.505911950526901,
      0.421568312769171,
      0.487932294719011,
      0.531412054510788,
      0.468142592919786,
      0.708632835372083,
      0.384314814488379,
      0.738780237833507,
      0.548866121466608,
      0.443167277224306,
      0.585286857400741,
      0.46270117545739,
      0.513362961966756,
      0.564519775965846,
      0.483503237689104,
      0.430961132279254,
      0.495954125563643,
      0.37694147640355,
      0.598931175152635,
      0.408037053417817,
      0.457463018200221,
      0.636817727531576,
      0.444663957532193,
      0.487191783684811,
      0.504066221431855,
      0.425250722782699,
      0.419718530751196,
      0.357601107895143,
      0.41501627206369,
      0.451922172120559,
      0.538214795433763,
      0.547472091352755,
      0.51681345236103,
      0.37059549692268,
      0.53041247797324,
      0.525888698799115,
      0.542838869790236,
      0.488376027866723,
      0.418657137467353,
      0.515495100013128,
      0.553383317975996,
      0.509340214414385,
      0.487132172586176,
      0.425154064353688,
      0.494725336089358,
      0.428593560713911,
      0.470389562088932,
      0.554414953723776,
      0.621937592149163,
      0.508938486775592,
      0.65964782282903,
      0.508518495273722,
      0.493914496506714,
      0.459664332329217,
      0.542520202165821,
      0.583019162093889,
      0.673309672467212,
      0.459682320649758,
      0.439463825770934,
      0.43409482666378,
      0.644721782580503,
      0.494756109385211,
      0.463611320363385,
      0.540835401409587,
      0.375141144828296,
      0.563040536911075,
      0.421951907776041,
      0.336606812152829,
      0.575808902548759,
      0.427547854387854,
      0.551059283516416,
      0.457323184328538,
      0.385896531821445,
      0.647146032479475,
      0.350973504263457,
      0.552632685524429,
      0.378354630550244,
      0.357881126745064,
      0.364579801220521,
      0.315823419932693,
      0.353917818769873,
      0.396039138199524,
      0,
      0.189770901916186,
      0.270705073365957,
      0.0700567414994906,
      0.11964741782482,
      0.263677863259807,
      0.143999656472605,
      0.437667382456758,
      0.240672528479269,
      0.0253989797436012,
      0.370938228499071,
      0.197202204774295,
      0.208067712476988,
      0.00962016705416838,
      0.186713482870457,
      0.407472831698434,
      0.298932025005225,
      0.421690317490286,
      0.196073687413726,
      0.0246787594049267,
      0.104410669278156,
      0.126029306519352,
      0.193654492443601,
      0.246395462014632,
      0.321921854450089,
      0.16213557900593,
      0.412011217559075,
      0.454267817097623,
      0.135381260875775,
      0.115022708617799,
      0.182416203735074,
      0.227839883895036,
      0.530217809342004,
      0.0488088002172007,
      0.38799776179236,
      0.251681151795945,
      0.0288106042012903,
      0.40968512022919,
      0.0540879265668311,
      0.159004733432904,
      0,
      0.228067769025607,
      0.244665949241274,
      0.163703737224388,
      0.335929231219758,
      0.171248627296757,
      0.24441979675913,
      0.426747656963602,
      0.235496930187885,
      0.122755157059182,
      0.163292300302801,
      0.468410323086684,
      0.584397486619001,
      0.225052467187717,
      0.348995269190512,
      0.337656323833273,
      0.415701267915968,
      0.376928918828985,
      0.274229190057013,
      0.488478000853688,
      0.42038697927818,
      0.485723289065516,
      0.413698360412266,
      0.509361329283122,
      0.383286146870213,
      0.530987774158218,
      0.730544238403636,
      0.335864138615597,
      0.626696830845555,
      0.344577633273429,
      0.438562566684307,
      0.279958213567343,
      0.2053654411973,
      0.186885515242725,
      0.37526825937259,
      0.458463257776239,
      0.218323469307637,
      0.39583054736985,
      0.34404481582059,
      0.115140090836467,
      0.527166328481241,
      0.159428901812704,
      0.288330869699553,
      0.0219468730494634,
      0.204651487310546,
      0.41320055298982,
      0.327379624284247,
      0.511382854291941,
      0.557471646717581,
      0.247765828038225,
      0.537720092528563,
      0.464986501995505,
      0.348015332269092,
      0.476558853135069,
      0.665886996545007,
      0.42370699874841,
      0.209687997289181,
      0.270841289761777,
      0.359797476976831,
      0.316527766061903,
      0.508116042889367,
      0.218640915450312,
      0.270021831001003,
      0.0617400445580262,
      0.200162903318668,
      0.532086338346261,
      0.339291774778535,
      0.40288927578583,
      0.383334756616268,
      0.266980737797481,
      0.514694803446994,
      0.292580167605983,
      0.309019988401129,
      0.347402646301827,
      0.382586754721681,
      0.486512978965899,
      0.491972496344578,
      0.480002672768182,
      0.378316002206204,
      0.509378154970058,
      0.480988416531283,
      0.512658644156374,
      0.266636972275514,
      0.472751933180354,
      0.443962187052458,
      0.418786892710072,
      0.427412369810441,
      0.406765508582275,
      0.300750772567363,
      0.333114786173422,
      0.241323572649235,
      0.411078777925697,
      0.308694364273216,
      0.429629511787365,
      0.367513137746479,
      0.347233650637,
      0.607719181772581,
      0.437639872264536,
      0.304504673731617,
      0.292193262618825,
      0.478924030430824,
      0.434174366282932,
      0.470255027837754,
      0.433117024502811,
      0.574210941340942,
      0.491086376837923,
      0.292829377807393,
      0.45089647200748,
      0.395205618016425,
      0.320187253464591,
      0.360474571440043,
      0.308033763656017,
      0.41664484165764,
      0.496913324347149,
      0.563386687841519,
      0.305248316154267,
      0.302115445913306,
      0.539098778907555,
      0.366616537223002,
      0.557246774539543,
      0.387204572561538,
      0.308671085129305,
      0.458770529698062,
      0.643833494990971,
      0.551877751823,
      0.503087788488297,
      0.401494990617185,
      0.481348340563988,
      0.448068100075182,
      0.452455272401437,
      0.458722311682689,
      0.516049443231966,
      0.442566730482375,
      0.467000298954278,
      0.472473757836177,
      0.3114868888546,
      0.293500308532443,
      0.558483370243627,
      0.480862983550389,
      0.397617330903336,
      0.249133870399516,
      0.352518805421599,
      0.451989176866913,
      0.469785736719391,
      0.437266234338422,
      0.197671202947218,
      0.242465614555851,
      0.0167117653328303,
      0.431797247503183,
      0.200990968574283,
      0.245360877583538,
      0.419520889014524,
      0.193997783050271,
      0.41641962763656,
      0.429439994474327,
      0.232035148805414,
      0.45026019594626,
      0.197535031556655,
      0.529804599401714,
      0.42580151481138,
      0.183175464595626,
      0.503533433770757,
      0.335583465597802,
      0.512605792076988,
      0.50077829961605,
      0.331950892377525,
      0.359422601956938,
      0.206875205125973,
      0.365146647209801,
      0.302817657279587,
      0.342232641771639,
      0.314561668241214,
      0.278603069054278,
      0.403602346880038,
      0.544547720755171,
      0.345193404612974,
      0.351855238988416,
      0.382797931163298,
      0.449828882771818,
      0.51661382936322,
      0.188926967862745,
      0.382594126650666,
      0.590509245546009,
      0.604714591563479,
      0.488411183257143,
      0.424857653147963,
      0.441090190036167,
      0.450630026343405,
      0.471570760566856,
      0.500587095618967,
      0.320892286825265,
      0.45355408918435,
      0.362208076755309,
      0.314799101427242,
      0.512828080876133,
      0.274421947823201,
      0.363827801448663,
      0.232444448668269,
      0.473324665701602,
      0.555931076530436,
      0.291630650818449,
      0.368553327979611,
      0.354722836337986,
      0.455794835555181,
      0.471551870758585,
      0.489382802733352,
      0.362010716581987,
      0.340924907627962,
      0.342308992513064,
      0.503300175914306,
      0.485911068334759,
      0.482973574178544,
      0.335647008837112,
      0.327785999256825,
      0.546980804637713,
      0.304191935267216,
      0.310939619312892,
      0.43492523736116,
      0.497079693133613,
      0.313340404108559,
      0.256339015619913,
      0.425753882073476,
      0.305599857652632,
      0.196163500936447,
      0.541505008954619,
      0.329685370990389,
      0.243493828926202,
      0.373252406755732,
      0.481282975502513,
      0.422576955064749,
      0.416852701754032,
      0.399508838736075,
      0.279323737912114,
      0.425855275205949,
      0.52024047833588,
      0.411488399052069,
      0.51598262608446,
      0.284242129846269,
      0.565537771630072,
      0.527307849847622,
      0.740567957229335,
      0.512292646404785,
      0.742667596541394,
      0.423536565907608,
      0.463239195688258,
      0.594508393180596,
      0.396770772279574,
      0.593489884689668,
      0.290567479868781,
      0.336246726383001,
      0.391590943869628,
      0.505600461481423,
      0.53575222363667,
      0.444416052666137,
      0.638684233492705,
      0.482404628584631,
      0.499039047526367,
      0.403081263193056,
      0.578109195299922,
      0.489594378931637,
      0.396966530933329,
      0.617354657173043,
      0.363322806842794,
      0.60659064431882,
      0.601177356611439,
      0.561569398274802,
      0.653028135307341,
      0.653811648360829,
      0.393162951936256,
      0.632692567843818,
      0.362312433765371,
      0.478946543898946,
      0.447082661614483,
      0.543152175780807,
      0.431405700523493,
      0.273867602493477,
      0.322106760842956,
      0.689313987079875,
      0.664365792603234,
      0.538626111331081,
      0.509864585335862,
      0.408353200732516,
      0.382452817189541,
      0.399051902503611,
      0.410699366672049,
      0.464259971280995,
      0.418465052615696,
      0.497497572396828,
      0.449727368903946,
      0.476269242211685,
      0.442433987710085,
      0.779530603970302,
      0.646736478502312,
      0.493026102852236,
      0.659782071234706,
      0.39439162999272,
      0.40790186824792,
      0.419533539883239,
      0.476402361256575,
      0.483681509894001,
      0.432732124246506,
      0.348033454696743,
      0.466254102259478,
      0.294227896575684,
      0.272278157544681,
      0.372799893272721,
      0.377723805167639,
      0.30939178799225,
      0.656897739613652,
      0.374026682229139,
      0.301841191218114,
      0.366609082931124,
      0.490133394660415,
      0.447749726186492,
      0.59520493039734,
      0.5319268878941,
      0.497661100322758,
      0.442023348133041,
      0.593950678310584,
      0.551106834704404,
      0.457500199323129,
      0.436319102581154,
      0.458783134757243,
      0.456542666601806,
      0.337252610789352,
      0.470919014631186,
      0.40914019976389,
      0.356037628161498,
      0.439760860359399,
      0.459738816781447,
      0.366861529166335,
      0.307876184107975,
      0.353574385570594,
      0.521313654430769,
      0.360452298467458,
      0.201049512100639,
      0.253760425913105,
      0.258599029950204,
      0.259997041651358,
      0.332239309987838,
      0.237094883595504,
      0.292047777645879,
      0.323682262653687,
      0.323211507359715,
      0.616474709459206,
      0.526187597153657,
      0.339427554432469,
      0.508446156603903,
      0.322455619599814,
      0.466199214867692,
      0.496960090598216,
      0.475397285428244,
      0.356257394854277,
      0.547582760597758,
      0.401831080639425,
      0.485449230561721,
      0.518775258757814,
      0.297283627488958,
      0.399599601895679,
      0.181450431593869,
      0.565215813518599,
      0.440444673554424,
      0.638629609970497,
      0.417503684328632,
      0.293313990801329,
      0.503449971541208,
      0.473764520438449,
      0.482727163610745,
      0.499053018606528,
      0.475009415066478,
      0.526138586043978,
      0.466527489732386,
      0.474132423071351,
      0.453811945188132,
      0.420417657173904,
      0.664120032940656,
      0.614834888969655,
      0.370401913262838,
      0.620624739206945,
      0.366343863754418,
      0.470307641248476,
      0.490429119883256,
      0.507111973699936,
      0.521377956246688,
      0.384452834476024,
      0.609122530554768,
      0.521081582348984,
      0.415217404146592,
      0.729742277512141,
      0.521087224700894,
      0.37151330989082,
      0.455499744848061,
      0.424383465745453,
      0.483352370645609,
      0.702794975884572,
      0.321540395196819,
      0.565555777565208,
      0.340157068429306,
      0.454458406059571,
      0.436787689837905,
      0.389959132925014,
      0.473631270311197,
      0.532028375241825,
      0.39400397142981,
      0.387909436041921,
      0.352412790777454,
      0.369793484541667,
      0.295380147381998,
      0.408470444750494,
      0.500670613766984,
      0.391128307318711,
      0.358213207272417,
      0.597016709462695,
      0.577641910972455,
      0.632365318911044,
      0.524013047461315,
      0.409220647984475,
      0.52442163375516,
      0.47739786845939,
      0.604079965512007,
      0.377509954060471,
      0.426813944392061,
      0.602250188505629,
      0.508252060511079,
      0.449081320314458,
      0.554269001137397,
      0.450780419833835,
      0.400283871288329,
      0.700880953529849,
      0.526579204161075,
      0.459112816528867,
      0.347759546734958,
      0.546534992795719,
      0.623030392419906,
      0.583436079655578,
      0.421985913554285,
      0.46221256048853,
      0.377399716373668,
      0.678429702907725,
      0.499015754608442,
      0.423530083703265,
      0.466080610068009,
      0.504858431663429,
      0.45583001769686,
      0.454977326745455,
      0.32002317385137,
      0.496183655288804,
      0.303843690702254,
      0.595652737970163,
      0.431781217753456,
      0.338760046436206,
      0.650786190243756,
      0.353195330794994,
      0.521513535250259,
      0.300783632230068,
      0.324277447009769,
      0.33735174630897,
      0.276994056414115,
      0.284596645322988,
      0.365127128967815,
      0,
      0.25523499484907,
      0.362515720182517,
      0.208979844000404,
      0.130026499915849,
      0.30324767894437,
      0.121918560084028,
      0.257938091783278,
      0.216926805715171,
      0.0744247307121967,
      0.332943952826423,
      0.21874543910079,
      0.172215804817531,
      0.0190074645391146,
      0.203203633802576,
      0.386115665623875,
      0.270026304041867,
      0.376906318016139,
      0.217731189845581,
      0.0349665995108264,
      0.122092212359679,
      0.126463752427607,
      0.153313164623468,
      0.169265376803382,
      0.283891632384053,
      0.164310278252178,
      0.650123065518617,
      0.490871381609251,
      0.175467478634658,
      0.162810679688593,
      0.187794013463538,
      0.267234303160389,
      0.546588699769489,
      0.0569058680715265,
      0.340064141528102,
      0.252187968580984,
      0.0250650656205541,
      0.388839812209079,
      0.0871257690839274,
      0.165091390579757,
      0,
      0.1727457666925,
      0.243142160073164,
      0.13824689761694,
      0.586382415970532,
      0.293500140778578,
      0.227168545805552,
      0.358694515861756,
      0.24133618413866,
      0.29138354746827,
      0.358467086134958,
      0.448276864642379,
      0.584398171268418,
      0.267469898461423,
      0.35770283074292,
      0.285794308566258,
      0.390831031888166,
      0.38173574232347,
      0.263642218728598,
      0.478393776449691,
      0.347912598041324,
      0.500563969748502,
      0.367126401005188,
      0.514355686332029,
      0.378730981610056,
      0.446666777162549,
      0.692834416862579,
      0.550270044165327,
      0.605602738054631,
      0.440061257899292,
      0.399062636735748,
      0.167830532072889,
      0.195956287438636,
      0.180472117650068,
      0.371005342437524,
      0.451097214156006,
      0.214966293837239,
      0.662372323264039,
      0.46799317704499,
      0.143838846351453,
      0.498739262366168,
      0.110983833017108,
      0.332087932004712,
      0.00634600027494058,
      0.223268212855707,
      0.479896245360217,
      0.437293318644567,
      0.581692821310068,
      0.69736294568496,
      0.23851819245269,
      0.613809538973258,
      0.515809099301906,
      0.334407274095239,
      0.54281254600165,
      0.652410464923859,
      0.427571337781902,
      0.168956514874945,
      0.294064642380662,
      0.316150739014557,
      0.306416400818897,
      0.513026021320155,
      0.19459159472128,
      0.232618739647669,
      0.0774969655401424,
      0.177849435723409,
      0.581117828949836,
      0.217311157565739,
      0.327962780145881,
      0.380667123483163,
      0.430561557919287,
      0.626173134198578,
      0.364070019381037,
      0.324088010984326,
      0.351210874381917,
      0.619546654838404,
      0.572413198572544,
      0.521182338175181,
      0.58219850955636,
      0.527043505596324,
      0.470894923206129,
      0.42509580781298,
      0.507171824903371,
      0.474740662429706,
      0.439932415523155,
      0.426311581562756,
      0.362723101582439,
      0.40821518985019,
      0.483935840509183,
      0.262870987320396,
      0.245285399678288,
      0.211324945618341,
      0.500220918663122,
      0.497529439030632,
      0.461522291812141,
      0.483534931809878,
      0.445525598754988,
      0.62129221206681,
      0.489833140807002,
      0.549585237132904,
      0.497605621233104,
      0.687007803956027,
      0.392967212935846,
      0.403087965148611,
      0.677083191758168,
      0.471229463268025,
      0.274345033607459,
      0.318032177537798,
      0.53547812718901,
      0.560784365522332,
      0.348781764033436,
      0.38838833184578,
      0.262308504847136,
      0.533759689285285,
      0.479296838550834,
      0.531195939270919,
      0.556073237426095,
      0.251073305648574,
      0.540487148389085,
      0.542439087463823,
      0.476537660393666,
      0.557179582287325,
      0.559742045196805,
      0.412847281637317,
      0.569122287763606,
      0.580597465526946,
      0.494970462429652,
      0.431728925216768,
      0.505104225991162,
      0.446852954662773,
      0.406044734293571,
      0.501759697162572,
      0.321019064486566,
      0.375176779827316,
      0.437962836078338,
      0.455407479435996,
      0.493072989059763,
      0.251123494748058,
      0.314455148520036,
      0.356326204795719,
      0.592176629501567,
      0.612516252155813,
      0.47179211483669,
      0.537441246983873,
      0.618374831082696,
      0.556943703415452,
      0.250293804913265,
      0.215910562102847,
      0.0190200844557732,
      0.381440546998817,
      0.194155944639592,
      0.54863167308696,
      0.442187337404782,
      0.211073550639019,
      0.615075479626002,
      0.655392973331891,
      0.276887879209011,
      0.475443542862108,
      0.159226778567422,
      0.565588963515985,
      0.334344942566875,
      0.270795563228187,
      0.421200234077183,
      0.178019972773647,
      0.445878577692195,
      0.514779686458588,
      0.304167189711824,
      0.368850666376524,
      0.302658514416431,
      0.376551964406167,
      0.238908512578861,
      0.365097500746107,
      0.342703689604205,
      0.450623485430097,
      0.408207322122369,
      0.621640439348415,
      0.577013557040229,
      0.314135994198853,
      0.4701474931123,
      0.608866508353963,
      0.634516856151949,
      0.228860768074622,
      0.319124568262449,
      0.515975656629639,
      0.67594277100306,
      0.4419462946732,
      0.639457155095675,
      0.450194290970215,
      0.342371138571971,
      0.64984844570306,
      0.491178769707154,
      0.314978798878989,
      0.625081295440071,
      0.363306608316111,
      0.335916168001137,
      0.488394352272767,
      0.260221600389986,
      0.365036435862682,
      0.262160575439402,
      0.417619399008413,
      0.336378832556759,
      0.311253336278253,
      0.617468125636287,
      0.573071894615953,
      0.670084915182382,
      0.488151716249636,
      0.325103529577621,
      0.632044155697367,
      0.365922443261821,
      0.349212584240682,
      0.644460292902876,
      0.362563722611087,
      0.475411979632351,
      0.325333621651869,
      0.326292402782336,
      0.58477686160713,
      0.473101982739636,
      0.297288336785607,
      0.344922455007016,
      0.293952945067526,
      0.600160399490133,
      0.294361782131434,
      0.483599174718574,
      0.279926284873711,
      0.211125631286126,
      0.555620133046269,
      0.345098007499862,
      0.288523609274492,
      0.360029856803972,
      0.571263128524562,
      0.599121930534589,
      0.518320051986632,
      0.517317939649715,
      0.299948997483238,
      0.550498689542958,
      0.507883574558859,
      0.29279409382811,
      0.527855044923163,
      0.308425358212607,
      0.650509546457544,
      0.514444396298424,
      0.692757099651333,
      0.559074474883724,
      0.748186690612322,
      0.46175132596386,
      0.646590744930907,
      0.47796464075056,
      0.644326279940573,
      0.614235454926211,
      0.609585609009416,
      0.346858104983776,
      0.632948322670525,
      0.489465582370777,
      0.55423950176175,
      0.647464468059051,
      0.511022355504383,
      0.507595762333379,
      0.549354827551236,
      0.404551188606596,
      0.528417933779432,
      0.505809765862348,
      0.372322099016874,
      0.600864788398257,
      0.423310876157292,
      0.459818462045148,
      0.554809586345816,
      0.534967846698642,
      0.586088571878772,
      0.670617369921665,
      0.406899272019875,
      0.647785946223922,
      0.41228713159057,
      0.521849178166831,
      0.530322241682163,
      0.61706994703905,
      0.502471139016263,
      0.302430756616197,
      0.289504910515011,
      0.419235012511835,
      0.696412829435114,
      0.501062372647104,
      0.453463115032989,
      0.372179398612827,
      0.350826388019538,
      0.404083870869657,
      0.462359022715928,
      0.40336747828041,
      0.400219822946061,
      0.631090621007869,
      0.667668758195504,
      0.708382382226077,
      0.434762498963022,
      0.667082898680315,
      0.61250630981926,
      0.582752053675958,
      0.673356294034323,
      0.497731152227546,
      0.523992039544795,
      0.404087393321348,
      0.539931424679669,
      0.49062909416526,
      0.486267526903502,
      0.356993626598086,
      0.398167859736646,
      0.317846731763113,
      0.492616100858577,
      0.449614463877134,
      0.428530456801152,
      0.375578654711922,
      0.559584338473862,
      0.470037877571065,
      0.458330566997117,
      0.462664645333494,
      0.455383736430826,
      0.466432020459896,
      0.48990005585802,
      0.534748260274149,
      0.489777749875081,
      0.63157341919121,
      0.593127843381706,
      0.636302240501859,
      0.3661329947918,
      0.449291306554601,
      0.536526501333138,
      0.499188424583649,
      0.354056402617561,
      0.450129281616312,
      0.447561541840314,
      0.365170669070384,
      0.425791076422692,
      0.536649591239534,
      0.326707847369196,
      0.384820957325496,
      0.447842452295851,
      0.534056970736529,
      0.386973903237105,
      0.513072424021912,
      0.313535117679082,
      0.199811097800788,
      0.264901134672807,
      0.31670041342648,
      0.23368799250196,
      0.284972767612708,
      0.340376821516199,
      0.332666064256569,
      0.562411586825406,
      0.502205704066436,
      0.413873841485717,
      0.327784606533102,
      0.411637456424768,
      0.423812565360478,
      0.476036314554767,
      0.475667537764911,
      0.28493647953468,
      0.506046272943139,
      0.409813733594336,
      0.573110791475368,
      0.531475606314648,
      0.351037158939754,
      0.506905344623907,
      0.204823474032435,
      0.560760600930336,
      0.328379921203352,
      0.529673011166904,
      0.45468587704418,
      0.305007768974686,
      0.497360681886473,
      0.475321388840818,
      0.474859933143919,
      0.5631942974659,
      0.494944838143933,
      0.588558760583839,
      0.654249077460193,
      0.594399236003098,
      0.495024615484208,
      0.405311835558696,
      0.722243772509465,
      0.629537467126539,
      0.347617753972786,
      0.592438243494883,
      0.367291822300244,
      0.445216954307299,
      0.5081936487198,
      0.534384426441046,
      0.382322198366863,
      0.406439482405762,
      0.348130420266574,
      0.489481026200753,
      0.482456811816834,
      0.597528944988542,
      0.67102798543986,
      0.41772949377126,
      0.516937206142732,
      0.483466363792734,
      0.570179553200632,
      0.590184710210448,
      0.475159120572276,
      0.560918078269049,
      0.356776177153119,
      0.431168209436762,
      0.398428072054721,
      0.639186110760051,
      0.45116245957613,
      0.575839032158499,
      0.506696309552319,
      0.54378075001696,
      0.536723143528102,
      0.343522035134015,
      0.377014886729057,
      0.473472472079392,
      0.479171473727134,
      0.306897070608863,
      0.33946758266536,
      0.581296358456009,
      0.598156188233207,
      0.611021888632034,
      0.557454292061769,
      0.516280571646647,
      0.660269910865603,
      0.607563001909096,
      0.618324495467679,
      0.425983226493072,
      0.475198277363452,
      0.546721728862948,
      0.553601374851016,
      0.495282796657844,
      0.503921632379703,
      0.415060442995399,
      0.381219188987971,
      0.437457605084788,
      0.499086682575017,
      0.450413880824831,
      0.314337642008037,
      0.540413985938994,
      0.598545134572591,
      0.452536103484354,
      0.56058579236227,
      0.575855694027054,
      0.381769241918235,
      0.61099037819143,
      0.447631193131039,
      0.662512615345446,
      0.468342935515121,
      0.634073451748871,
      0.533274396531065,
      0.514442939994209,
      0.287655310015091,
      0.403253812857917,
      0.341703200329236,
      0.632158875409075,
      0.456230707887554,
      0.288601006699816,
      0.501092457092515,
      0.470439880624077,
      0.552925744119029,
      0.269936793970359,
      0.288159262328676,
      0.344338227684135,
      0.282120195726685,
      0.24323351587139,
      0.43504581364351,
      0,
      0.268742936687789,
      0.39343135397059,
      0.24921991214691,
      0.1010624880489,
      0.323983076092455,
      0.121847730026897,
      0.293392535138285,
      0.305613185020078,
      0.0626004682780825,
      0.348135133494667,
      0.269748582407761,
      0.115051118270123,
      0.0408519404508483,
      0.179568472010322,
      0.359804137651732,
      0.126983057723587,
      0.27777835692505,
      0.212634858638,
      0.104478699820214,
      0.156758855854951,
      0.130092384426604,
      0.140414335151554,
      0.149602091180581,
      0.212121104183917,
      0.179343655025224,
      0.601842331343997,
      0.362349527083544,
      0.181439310542159,
      0.103545217503007,
      0.120917723999248,
      0.228785531837068,
      0.349243704937624,
      0.0305171257900213,
      0.31733589014255,
      0.450952597338897,
      0.0546599159114904,
      0.529338012792842,
      0.155381979813631,
      0.132648423304598,
      0,
      0.169831536473905,
      0.222260944231779,
      0.192561983182249,
      0.555767646051447,
      0.290545410311776,
      0.201706478352426,
      0.36291268181243,
      0.163743666171626,
      0.298603490608909,
      0.293928801332289,
      0.266009237247615,
      0.534505064367551,
      0.219841661477041,
      0.411286483137931,
      0.280648993050665,
      0.370623154726018,
      0.430424222638544,
      0.277879725572667,
      0.48902537868207,
      0.399279649273806,
      0.483777750662414,
      0.326016924348129,
      0.502660519779826,
      0.461218515420846,
      0.41084369870933,
      0.517758932882714,
      0.605227380107913,
      0.306306394725676,
      0.510654027605027,
      0.460000257292663,
      0.253464655012408,
      0.182303172653206,
      0.269057641025062,
      0.364165137600151,
      0.388337348965893,
      0.218725707193582,
      0.679782500437413,
      0.372419349794999,
      0.178533957010998,
      0.489309330990637,
      0.278284034992713,
      0.334830776597046,
      0.0280027746525439,
      0.309568570099667,
      0.540431321041823,
      0.690531593255899,
      0.563587710874822,
      0.532403508726225,
      0.163538332839635,
      0.649358175316631,
      0.632992971418169,
      0.417431776544832,
      0.645081925945471,
      0.399274340172365,
      0.425783711365163,
      0.199564894314794,
      0.307751356792812,
      0.413551190955862,
      0.273964527532364,
      0.530495292635218,
      0.167006142740655,
      0.263929769118806,
      0.0890740162327644,
      0.203895336161136,
      0.458491424322882,
      0.279522200651173,
      0.280628198530733,
      0.309440557335491,
      0.494349092054919,
      0.600238257279085,
      0.36696403191502,
      0.442548940149191,
      0.37568129376098,
      0.637143263094366,
      0.610207061975739,
      0.723375532396266,
      0.651276686317311,
      0.49841138679495,
      0.383426922213722,
      0.475406396159088,
      0.515104057339845,
      0.578289058750352,
      0.428219273274752,
      0.324004394666127,
      0.402276540964526,
      0.455379408209277,
      0.54018717653331,
      0.341973154347203,
      0.310397726242616,
      0.197777679731642,
      0.394259036304695,
      0.505517561417527,
      0.468526030472332,
      0.490929344061963,
      0.453313710436986,
      0.589772254637343,
      0.560993997601822,
      0.521213451188354,
      0.507120929914965,
      0.651038730146414,
      0.427959392968568,
      0.37645706624994,
      0.701091890222711,
      0.550877609626813,
      0.391844539744659,
      0.335649767318314,
      0.569318279347038,
      0.570589384811289,
      0.39778775733051,
      0.222978758876326,
      0.256913652315352,
      0.478119468492098,
      0.503782649238102,
      0.531084383733628,
      0.54432948184078,
      0.260843860996521,
      0.570724271969824,
      0.420279397287614,
      0.51517013666649,
      0.52550398670037,
      0.61183466572796,
      0.375899242686347,
      0.428287631074764,
      0.388089254419902,
      0.476307863866935,
      0.474788294083194,
      0.455889012604597,
      0.422876367220893,
      0.409147825083217,
      0.542386457698467,
      0.342163862701641,
      0.331732280655427,
      0.386363886902472,
      0.444644416709826,
      0.529978881078232,
      0.299293516728406,
      0.260852521399364,
      0.440367660198737,
      0.614537647047095,
      0.612663502348544,
      0.458525798332642,
      0.587491251815119,
      0.596435831511821,
      0.467932689663428,
      0.201161188454435,
      0.238856764328165,
      0.0206283326988076,
      0.453310351567088,
      0.179634558661785,
      0.497796515751542,
      0.368424282474473,
      0.229750108018154,
      0.621737086657419,
      0.615505388755635,
      0.25869165302615,
      0.455891347036143,
      0.173857088195077,
      0.450626451632629,
      0.265334246786752,
      0.60753643918867,
      0.401629989210583,
      0.351771752772433,
      0.447726292007105,
      0.504758455759386,
      0.297611596422177,
      0.328874342143323,
      0.262011238982805,
      0.405227745176726,
      0.222778966632722,
      0.343342404666088,
      0.306808916964359,
      0.411589741064314,
      0.399709773306032,
      0.586596749355659,
      0.489740191196224,
      0.333697204606691,
      0.711338558947135,
      0.623974961273527,
      0.56734609095569,
      0.249165210507035,
      0.278623200664455,
      0.366172243125881,
      0.448351202145567,
      0.479129515280676,
      0.621960300935183,
      0.34400584052094,
      0.283153092128892,
      0.59755799792738,
      0.467822497030083,
      0.404192049777538,
      0.4538548264343,
      0.330259735482949,
      0.237235148735869,
      0.507511387317184,
      0.326681584769201,
      0.358066818436726,
      0.311252189243727,
      0.475414080353789,
      0.500755362355099,
      0.250471993295762,
      0.524432838101662,
      0.545446362378047,
      0.568238752652774,
      0.473376230192849,
      0.321873197976679,
      0.698647651022597,
      0.326334761411326,
      0.352054728814138,
      0.656421392208669,
      0.234062766926407,
      0.538737581709485,
      0.261319624498404,
      0.258302303394973,
      0.622444684471955,
      0.470465827275058,
      0.343118259493609,
      0.290619266415504,
      0.245123045145378,
      0.643948215245955,
      0.401447998298924,
      0.399530279154058,
      0.252397869675147,
      0.186196293327645,
      0.534959725349677,
      0.466520096565025,
      0.273751173857945,
      0.332435199409516,
      0.358800168552548,
      0.648724256632714,
      0.517433725643232,
      0.549368672036907,
      0.271853242855749,
      0.580612866115187,
      0.554231419926929,
      0.393667762786625,
      0.53096104502866,
      0.386167782617892,
      0.593895141007046,
      0.459113284526643,
      0.554653224544796,
      0.603000428773595,
      0.504000289127083,
      0.671565347951494,
      0.724973465181513,
      0.409346147592839,
      0.621643296890711,
      0.679509639283828,
      0.619566581922083,
      0.32477193752486,
      0.641036331211992,
      0.356573545269559,
      0.395309787592684,
      0.651540960514173,
      0.364447873724674,
      0.567518943948527,
      0.441350846633346,
      0.375242031203511,
      0.551167407815429,
      0.566774980144737,
      0.382045042754442,
      0.567495595001481,
      0.556324601617328,
      0.502500920206161,
      0.52940267936577,
      0.544822306906855,
      0.567214641554095,
      0.43131681982375,
      0.668938867348295,
      0.467020956847135,
      0.653121029825132,
      0.568286183785745,
      0.564523483650872,
      0.649117449839095,
      0.700721175357938,
      0.251533665966715,
      0.297788491372843,
      0.306205681262664,
      0.639533000946787,
      0.452000569597025,
      0.341845262791195,
      0.373286679582339,
      0.303969437407669,
      0.552085338495386,
      0.484787979700678,
      0.587723350579998,
      0.369972113414898,
      0.569201010883335,
      0.566467778795336,
      0.739297021665677,
      0.392201956008735,
      0.48619490777244,
      0.590986967632833,
      0.566092114479574,
      0.515499920986838,
      0.508238391007646,
      0.476332175724595,
      0.391496581008319,
      0.549506416125941,
      0.488760700486554,
      0.438080609474693,
      0.354521946875458,
      0.438382713541811,
      0.364821050654656,
      0.515554177747174,
      0.493547587013019,
      0.4276413821583,
      0.430589589650565,
      0.557617909692429,
      0.470093954560941,
      0.459261163082047,
      0.516260807517554,
      0.628514609273304,
      0.45619046143389,
      0.482763521681505,
      0.530207416305369,
      0.524928775723219,
      0.668081176458518,
      0.548162684229812,
      0.645790592569003,
      0.346415416001876,
      0.468283827727126,
      0.54530011120226,
      0.431028434622978,
      0.428553558327458,
      0.429456609067831,
      0.46331179481408,
      0.585947482983328,
      0.54892214319486,
      0.49397241530302,
      0.350840715541728,
      0.440169994867118,
      0.509040088533989,
      0.529504797889672,
      0.330090160707138,
      0.629600329034804,
      0.365059212600543,
      0.260516666818358,
      0.261802232917356,
      0.329493618787985,
      0.259181779384659,
      0.255200224219615,
      0.617046665670767,
      0.276914589149821,
      0.425287681680755,
      0.405313320874157,
      0.409836807950565,
      0.303133473841604,
      0.539338889816884,
      0.409281806210319,
      0.417066589665816,
      0.413490327043184,
      0.350315424814118,
      0.529965496172505,
      0.355918203739452,
      0.572373218131173,
      0.645605217208298,
      0.42107119239694,
      0.561242918673568,
      0.232404099867197,
      0.541921889376679,
      0.362176498678439,
      0.577836358165755,
      0.554742616159156,
      0.322792940982211,
      0.50015993117291,
      0.462273855813602,
      0.402214807528995,
      0.674550765667134,
      0.426632520034149,
      0.585110619684183,
      0.666068543001673,
      0.672556611785152,
      0.42926262274123,
      0.335086666436873,
      0.528728418697709,
      0.55674229980202,
      0.369530040050391,
      0.528663053441833,
      0.308522496223812,
      0.476183730704093,
      0.476393376140223,
      0.439377746195553,
      0.43172861698329,
      0.454745494659107,
      0.432026439650851,
      0.523102379786924,
      0.409991646018303,
      0.472527956236356,
      0.668728597222642,
      0.579275715382033,
      0.589853708407638,
      0.509225057164821,
      0.552040348240479,
      0.496291914807539,
      0.635513387780038,
      0.520947576361225,
      0.540747511560007,
      0.423088454015279,
      0.433139658098169,
      0.584752248986711,
      0.434434363490108,
      0.606560535508891,
      0.564198311505533,
      0.485947318596804,
      0.436015582996432,
      0.359553899451663,
      0.493153406612509,
      0.490923614902091,
      0.53605601280983,
      0.535711776093986,
      0.34143736008041,
      0.564267174982143,
      0.513102548757136,
      0.537577001587762,
      0.612923666235356,
      0.400720492925365,
      0.654766274701258,
      0.672434560692512,
      0.457466798440313,
      0.44520834917012,
      0.480612395556936,
      0.472062872847442,
      0.580576563285554,
      0.452683775512655,
      0.509888742202863,
      0.56400400949339,
      0.371463178318139,
      0.458052319915529,
      0.457361465484563,
      0.421352766722194,
      0.339883755741735,
      0.523021067065739,
      0.620511554121684,
      0.49698897632902,
      0.563956716503594,
      0.647103857138919,
      0.363567237729446,
      0.545769152469062,
      0.440429822034475,
      0.632989117985709,
      0.567796912549817,
      0.586155795860699,
      0.475832942637277,
      0.475688271329885,
      0.333152362007132,
      0.340238923929632,
      0.506247357427951,
      0.547337494758142,
      0.423856670974257,
      0.28729948677872,
      0.475603811878663,
      0.522924362885122,
      0.522627137849532,
      0.259188073261329,
      0.292231545740858,
      0.305909185540098,
      0.318484795965698,
      0.291333001842618,
      0.477280963439546,
      0,
      0.0790776270670816,
      0.194691288689915,
      0.0907444572480595,
      0.0820840045626824,
      0.323284360906943,
      0.113248405607676,
      0.436934651743725,
      0.21197329505475,
      0.0899880669140646,
      0.31857816670692,
      0.320830340077217,
      0.151426853837832,
      0.0156711404944999,
      0.208173669147737,
      0.34804482685015,
      0.18016386755941,
      0.387024153245288,
      0.263102845291174,
      0,
      0.157632690035655,
      0.0981952402660101,
      0.135857980736832,
      0.120794015342945,
      0.182190690313273,
      0.199107267449357,
      0.337812741725625,
      0.384213605180111,
      0.150374151641312,
      0.149644289429807,
      0.0890210849742505,
      0.248715134872936,
      0.374126843523252,
      0.0365384003756857,
      0.348912186481024,
      0.434607736872513,
      0.0242264862784146,
      0.53172549907706,
      0.032189640666027,
      0.0853414479976727,
      0,
      0.226864457213844,
      0.260220494340901,
      0.115823920117058,
      0.386923754194337,
      0.131326797991622,
      0.203807468578219,
      0.419184359332868,
      0.207368689949497,
      0.164294874598315,
      0.171361788458479,
      0.472177391004363,
      0.574651444133044,
      0.193273664873667,
      0.415730542338016,
      0.280057966587206,
      0.380800791108901,
      0.449520384156107,
      0.290628954507358,
      0.50445523055637,
      0.354662622360659,
      0.503428571803341,
      0.327135955427499,
      0.521604071716613,
      0.605235661428013,
      0.458050505916497,
      0.441626170691431,
      0.38641575780962,
      0.370130543773759,
      0.338333646285951,
      0.490334530826843,
      0.28930852942063,
      0.157337966720837,
      0.33608498713696,
      0.347726696410959,
      0.401572183429121,
      0.238077593111999,
      0.400325573425258,
      0.309039559295012,
      0.195413343576005,
      0.527621164312583,
      0.25405872458859,
      0.321250566921504,
      0.0414505493661093,
      0.336691326124054,
      0.474382174135712,
      0.603706894941904,
      0.359120776422567,
      0.397014201132148,
      0.207948176381941,
      0.550012461184002,
      0.595462679445179,
      0.641292765839423,
      0.584390702678992,
      0.412987797558561,
      0.438999001556832,
      0.211284968542288,
      0.258284338247027,
      0.317785563635047,
      0.2787422433059,
      0.524927055852484,
      0.186987884627786,
      0.261749912398794,
      0.107534149198541,
      0.217510121466079,
      0.38853703768731,
      0.463038046167062,
      0.296425520333029,
      0.326292716836266,
      0.315750346024162,
      0.574489280194777,
      0.274583498596985,
      0.371903760896557,
      0.44117544453213,
      0.439888296267766,
      0.551346370156669,
      0.672082267660155,
      0.528774085614867,
      0.413693165769526,
      0.42709038036837,
      0.537871314602662,
      0.476211332982918,
      0.504442467435807,
      0.40510700571313,
      0.406919188155627,
      0.534072794488433,
      0.376607849345657,
      0.4450770055986,
      0.291175894572207,
      0.308143421447659,
      0.242995149967122,
      0.358320423102839,
      0.28821464570475,
      0.374097671035647,
      0.454471453732177,
      0.235202212684071,
      0.545159329876527,
      0.485019365251849,
      0.257479120267129,
      0.355693756100268,
      0.334758305099311,
      0.405787430354818,
      0.291157711897583,
      0.433670044143435,
      0.662143835354871,
      0.508723683547131,
      0.329648690851536,
      0.493950811941134,
      0.276361079552556,
      0.36428343966736,
      0.342316946071959,
      0.279300395922558,
      0.346133634679701,
      0.496739665563489,
      0.499131377970295,
      0.350193588947379,
      0.250434707727591,
      0.607124653779525,
      0.305392595251074,
      0.426312911065338,
      0.340659492398975,
      0.311586538216289,
      0.391489211465478,
      0.454131530995928,
      0.373428836144669,
      0.415021376906794,
      0.334586995004172,
      0.413724765861715,
      0.339991188989173,
      0.413173309512421,
      0.477535103028276,
      0.375722790249841,
      0.320926463729951,
      0.480998542902901,
      0.4631729653386,
      0.3748910561715,
      0.528956682539023,
      0.317585347690771,
      0.467688844540562,
      0.445281862205254,
      0.215353021181802,
      0.351816698467662,
      0.44006932018656,
      0.426148174152929,
      0.458870917461469,
      0.20735752828947,
      0.300432483895918,
      0.0319809285396611,
      0.46373431985929,
      0.20536869928746,
      0.165194137559929,
      0.333350364588129,
      0.188607227054602,
      0.407514025532375,
      0.420452370306367,
      0.185956149968798,
      0.435650628568692,
      0.234131372998225,
      0.470354317709423,
      0.294380024773633,
      0.58830864796268,
      0.398342115014585,
      0.315504546064578,
      0.39725466506573,
      0.451962694293856,
      0.300659966808418,
      0.329212058801338,
      0.227994689419876,
      0.430548658970506,
      0.228992417508151,
      0.30337076170691,
      0.3105720494734,
      0.300812654817086,
      0.356834404782172,
      0.494454195419626,
      0.18215008629461,
      0.502570734031151,
      0.642367854897696,
      0.436891595643251,
      0.347103535308606,
      0.198876042867341,
      0.289627689913548,
      0.386932607959613,
      0.393634128179506,
      0.443319417856772,
      0.411439516540956,
      0.347202306483001,
      0.402222663790012,
      0.380870058066015,
      0.448966919687857,
      0.602224838693485,
      0.369876429254445,
      0.35537509675178,
      0.211170530699286,
      0.524271969579054,
      0.237299696080593,
      0.366277377500439,
      0.284517247961031,
      0.504286477391762,
      0.531928437256379,
      0.29627156658353,
      0.289512420280559,
      0.350137341606983,
      0.380230851565816,
      0.488035312041824,
      0.238582158346301,
      0.350041815278583,
      0.389897059496751,
      0.362740298451825,
      0.507073958177049,
      0.316883939767906,
      0.564694284379007,
      0.383332516023192,
      0.442465795473121,
      0.563030390285614,
      0.382548671945053,
      0.652608918538071,
      0.331770231483413,
      0.239194343067901,
      0.361082551162095,
      0.311759056617755,
      0.355256582934259,
      0.27613352623576,
      0.30298611661545,
      0.590906423131054,
      0.464839235673819,
      0.250106404514648,
      0.329596297886421,
      0.272963162515183,
      0.441852572024901,
      0.387263319828857,
      0.360256360885618,
      0.283880418688662,
      0.455931716040508,
      0.567803371883639,
      0.432526720578539,
      0.589717551984227,
      0.361810430004035,
      0.5148929941918,
      0.465077226351922,
      0.513695826523121,
      0.572620452056974,
      0.451099551801389,
      0.699177033226086,
      0.661054464993419,
      0.397120970552255,
      0.308582509452937,
      0.675911577152662,
      0.303192145953889,
      0.345093349396156,
      0.473430441687454,
      0.345347376844314,
      0.358900246770756,
      0.529497877081309,
      0.319364865309048,
      0.558603601290081,
      0.421135801642245,
      0.331582769890194,
      0.512214691603555,
      0.564726144320184,
      0.440195466780321,
      0.518899334435644,
      0.509079085710989,
      0.561435393998425,
      0.525731060572723,
      0.549418358496891,
      0.580235731048858,
      0.416983930757127,
      0.672178866045247,
      0.367716440480536,
      0.674027328509965,
      0.583443286012128,
      0.397644156614221,
      0.613293120944675,
      0.624593740538248,
      0.277087208114317,
      0.356681981109916,
      0.419448393244472,
      0.555725101416848,
      0.406007386317473,
      0.410742473967841,
      0.386715993894143,
      0.371096977657987,
      0.516584898016174,
      0.538113846471254,
      0.574457703162775,
      0.389692185456661,
      0.443526375628212,
      0.360915645016686,
      0.596340649606039,
      0.439101538614379,
      0.408959751003084,
      0.568835685106503,
      0.370625996956586,
      0.412863975628751,
      0.404860241232234,
      0.337704970940197,
      0.356399364059651,
      0.508250474846549,
      0.43032364038031,
      0.422565131076783,
      0.409406772678091,
      0.366251970943751,
      0.321621604259696,
      0.314911057310662,
      0.430266743753772,
      0.291735608530014,
      0.289447285408977,
      0.597492440872357,
      0.533677320382809,
      0.297766930224745,
      0.493787924864562,
      0.610902132012024,
      0.393807108795119,
      0.469364978257458,
      0.528929503053976,
      0.446726255616985,
      0.467698747052605,
      0.62488921140176,
      0.581681860435572,
      0.330871976960172,
      0.465402643107905,
      0.460562443041275,
      0.461056538800393,
      0.433918965335164,
      0.414002710046246,
      0.463853521037708,
      0.520874685360554,
      0.602823714705005,
      0.382543168603751,
      0.322566865106584,
      0.315979675022845,
      0.381462115233674,
      0.444474004669239,
      0.307407290537753,
      0.507241293744746,
      0.296449021314134,
      0.16225213329667,
      0.234013457451974,
      0.305585335955614,
      0.282755412805163,
      0.289644909304077,
      0.584726828436168,
      0.277527992149772,
      0.440095698293314,
      0.428588665021747,
      0.293260244137099,
      0.379994382084725,
      0.406191445357663,
      0.384048836763207,
      0.438423309150956,
      0.409887896373271,
      0.281579593566797,
      0.50846965886289,
      0.361553801922703,
      0.515471698212638,
      0.47067472332268,
      0.352543185934006,
      0.457489794963323,
      0.153177779451208,
      0.557209133947525,
      0.475161071737922,
      0.562114382928028,
      0.404142430179586,
      0.299902349212485,
      0.501374073110406,
      0.470944886570021,
      0.326484885102929,
      0.675676514814537,
      0.374371507041137,
      0.567146316944178,
      0.652900698727105,
      0.605571544258534,
      0.426892548876698,
      0.452438099565628,
      0.515680883150959,
      0.544944812118125,
      0.372147338142149,
      0.432902896909254,
      0.30217944636479,
      0.409593403007456,
      0.526898167756078,
      0.467403773093711,
      0.485716690240079,
      0.504041421790938,
      0.499790721169825,
      0.531847473496381,
      0.303882227154808,
      0.388636726594388,
      0.443642252417219,
      0.605410271998925,
      0.574770396462081,
      0.488528802548259,
      0.49398178065738,
      0.34790829415683,
      0.653710295480161,
      0.558961662693396,
      0.635006009125128,
      0.442833080887287,
      0.589354714117293,
      0.369015302322782,
      0.455660790622336,
      0.526814163258114,
      0.45185316033289,
      0.364766513661371,
      0.304396321331857,
      0.3840908513781,
      0.466152780384919,
      0.498639882221201,
      0.503123251834771,
      0.501024644105974,
      0.389557408561015,
      0.516614063385268,
      0.444616370682895,
      0.440744257073755,
      0.683055052677373,
      0.400921620240773,
      0.445733569307873,
      0.690221836210152,
      0.473471881508375,
      0.517245127470564,
      0.361275968705133,
      0.490265965214389,
      0.490256561196808,
      0.445022311838245,
      0.576785848715534,
      0.591525719633212,
      0.420148636414602,
      0.416307408665026,
      0.449126096194044,
      0.487246332019642,
      0.443710391623642,
      0.510102750663526,
      0.469157044691745,
      0.513152964560226,
      0.38791298051577,
      0.48336897578236,
      0.408609434597952,
      0.569989587254741,
      0.528763350394044,
      0.422553284161581,
      0.581644635051103,
      0.376021867716752,
      0.543243541155813,
      0.403020313665238,
      0.322027775641227,
      0.586414585630538,
      0.409908336101034,
      0.545422543386703,
      0.441634296219052,
      0.331584434585861,
      0.345460552656933,
      0.586991914651702,
      0.524991217105458,
      0.36096128240784,
      0.350954666300893,
      0.323308207075298,
      0.324929946091365,
      0.312054184771522,
      0.410317170559405,
      0,
      0.283542577800214,
      0.169418449779087,
      0.116440759646341,
      0.0535314207557369,
      0.237718706687879,
      0.142812990405603,
      0.374591986172365,
      0.159089899155653,
      0.0803938191360143,
      0.293992463898566,
      0.340432203065396,
      0.0874052795872798,
      0.00630428677243427,
      0.19236362519507,
      0.370916525299234,
      0.231918425268977,
      0.312916056560112,
      0.255337377577637,
      0,
      0.10396261378597,
      0.108438902957768,
      0.106148289400426,
      0.11361701016173,
      0.195013993865015,
      0.181736516965666,
      0.319953625851551,
      0.557170445429031,
      0.142253284691604,
      0.149169132561965,
      0.0794520710995874,
      0.242668112628151,
      0.495527144619364,
      0.0772148107700436,
      0.359503966963974,
      0.222393741527449,
      0.0311398837967568,
      0.337290671753567,
      0.202430928241748,
      0.0885670773449023,
      0,
      0.221081638169317,
      0.250078329674543,
      0.0635605201664395,
      0.356714903753385,
      0.210735923972278,
      0.231565243271836,
      0.339642847809319,
      0.124863675937648,
      0.21785865623977,
      0.342516343867396,
      0.394015420158785,
      0.606945236450938,
      0.257198891766562,
      0.369184283853012,
      0.26023487979521,
      0.391128508609834,
      0.427415337651954,
      0.30431647945027,
      0.453577232333207,
      0.38658577971608,
      0.501981289685362,
      0.345865748211316,
      0.487870722651267,
      0.452168687556891,
      0.500078862394736,
      0.396587372931528,
      0.35723529224805,
      0.348842407000501,
      0.244595853338729,
      0.456917224650519,
      0.264526774872881,
      0.166681345750003,
      0.252435775058389,
      0.337087761408727,
      0.405866576549767,
      0.186881983631366,
      0.364004280248847,
      0.563377945094098,
      0.200143003262407,
      0.51882282797585,
      0.170879765417634,
      0.251076847710437,
      0.0642340653502996,
      0.283566423361636,
      0.422169406586742,
      0.380147056755956,
      0.438304607174181,
      0.410614934148823,
      0.24489060722131,
      0.508459607636333,
      0.343556697171037,
      0.63855258263263,
      0.466615537958042,
      0.376098088993593,
      0.393610238092506,
      0.191700753829201,
      0.345665023018248,
      0.263902096211003,
      0.291572479847081,
      0.504674748680241,
      0.171185837968442,
      0.237295342152406,
      0.166859626439102,
      0.188043553447781,
      0.438651048093598,
      0.410379228491265,
      0.337971030846211,
      0.349347564063697,
      0.117929974020798,
      0.547203957998688,
      0.35697407315224,
      0.277348687826692,
      0.389252275639213,
      0.264308229277122,
      0.539920172242695,
      0.4700217724354,
      0.386428546029094,
      0.320049082825943,
      0.465142150025593,
      0.539868983110057,
      0.489361560082981,
      0.391059813952628,
      0.453870570875726,
      0.378393922656091,
      0.45152227978399,
      0.39009248183306,
      0.464467418723343,
      0.315759566304722,
      0.327630254490141,
      0.260603471098148,
      0.342568539933095,
      0.285485018832705,
      0.411925198574752,
      0.449792199463965,
      0.409372149929111,
      0.533574257075592,
      0.457657517639913,
      0.267586374210757,
      0.33374394275347,
      0.382633905290628,
      0.39644311302045,
      0.362628101535119,
      0.489591127432388,
      0.547241770679794,
      0.340988049818807,
      0.289168758000954,
      0.49309778879606,
      0.369103083689604,
      0.357987463173056,
      0.307586175856151,
      0.277569608551954,
      0.468524922300911,
      0.480514851952156,
      0.463881769619603,
      0.456363412703268,
      0.281933381587763,
      0.577712858701358,
      0.333508914447944,
      0.477929899530027,
      0.303790371471022,
      0.324658110711225,
      0.488029268585973,
      0.489842501678176,
      0.358599887256994,
      0.437355096622418,
      0.281114496327923,
      0.451275657057107,
      0.365536554564806,
      0.397931207208209,
      0.483210358951332,
      0.323504252611594,
      0.384313898184679,
      0.456837900977177,
      0.434820604795089,
      0.350566022720764,
      0.621802965450146,
      0.311339255449176,
      0.419035436664249,
      0.289635723653677,
      0.208458959997837,
      0.336095188424193,
      0.332228886017603,
      0.428744048236339,
      0.451099978123041,
      0.182777899438859,
      0.258526648944944,
      0,
      0.414392049403632,
      0.210100345030353,
      0.251849666283484,
      0.37540756136534,
      0.186423605196344,
      0.337509535848924,
      0.426498539552349,
      0.240252773089046,
      0.35182543424527,
      0.159264039030517,
      0.442692007024175,
      0.309597323861998,
      0.225570887620245,
      0.395628594824706,
      0.165087743229354,
      0.486624708301105,
      0.483961743090053,
      0.291794248433517,
      0.283378702796001,
      0.25071572472271,
      0.389577356416635,
      0.273705372229799,
      0.311768388003249,
      0.348016269824687,
      0.390138622497877,
      0.427227793977325,
      0.485538165309888,
      0.190482609761749,
      0.465986591544696,
      0.462925349058575,
      0.318268607458946,
      0.360045772878474,
      0.187861414056235,
      0.266590029929061,
      0.385997733507232,
      0.349233381157052,
      0.419384834681777,
      0.40979895832915,
      0.43943217406181,
      0.371671841831592,
      0.352739014604116,
      0.427188991030593,
      0.51832380836112,
      0.368471707466792,
      0.36353391646032,
      0.285122686505675,
      0.50507838823226,
      0.244184546307435,
      0.350397554612671,
      0.265396527616739,
      0.402147293853906,
      0.307767303870677,
      0.299302538053564,
      0.365310264133683,
      0.343053221744978,
      0.323710171996984,
      0.485497502890522,
      0.310139282408959,
      0.344771058195462,
      0.469237128784184,
      0.346603323050382,
      0.496070512928851,
      0.296591258700062,
      0.608818729626104,
      0.354583154525848,
      0.407279858617464,
      0.521757915276405,
      0.341806518715777,
      0.625009959596115,
      0.34091902354521,
      0.290888988699014,
      0.301457229500498,
      0.307191880280585,
      0.320070262875873,
      0.27812168942097,
      0.271172057386065,
      0.555695802196566,
      0.358483760273398,
      0.247733225753737,
      0.32858899987839,
      0.263622682359641,
      0.404686356606064,
      0.332020384364162,
      0.367277091766101,
      0.286814174485128,
      0.395459603108606,
      0.528178943911138,
      0.29601120565738,
      0.560262097330542,
      0.360056876035822,
      0.453476005948554,
      0.52562931530106,
      0.510040337905555,
      0.515125792537164,
      0.466430544029727,
      0.574245283498847,
      0.447029320398407,
      0.491052494817633,
      0.381503502488781,
      0.578041017333841,
      0.342754404711866,
      0.342535934654599,
      0.343053360223809,
      0.339694558187046,
      0.375475900618382,
      0.417715380961585,
      0.678591027516144,
      0.597235227072763,
      0.47452318993805,
      0.345015628804369,
      0.464702086096012,
      0.493243006229559,
      0.369962977826245,
      0.494322151386888,
      0.294424369416853,
      0.563018632139071,
      0.519473923927531,
      0.542010761392395,
      0.568602726208923,
      0.414788076839282,
      0.48560387331184,
      0.353972977145379,
      0.325511252596578,
      0.580431676806262,
      0.398640589531132,
      0.558049285006062,
      0.385128878445317,
      0.292426817880568,
      0.337868812393037,
      0.493900370723825,
      0.409492790989114,
      0.463625867111539,
      0.437818543616078,
      0.402774901276631,
      0.407673996888083,
      0.385378127978305,
      0.599583377310186,
      0.488465323750131,
      0.388627512648228,
      0.386354406946577,
      0.313057208150101,
      0.334387598803733,
      0.433423799776209,
      0.469935398318461,
      0.612990664279889,
      0.438097660334114,
      0.447837122806882,
      0.40864572693483,
      0.396257443717153,
      0.417617083367916,
      0.427960649646725,
      0.443375346416944,
      0.442004550804407,
      0.501565838339149,
      0.379595989626907,
      0.299882018933726,
      0.296837490333865,
      0.411760289127965,
      0.344077756935559,
      0.440501562982294,
      0.575990940272499,
      0.516557212365426,
      0.340085460775655,
      0.348423805507984,
      0.399363995874612,
      0.434407623013068,
      0.456979761124237,
      0.50824490277523,
      0.384279197900399,
      0.38312161884142,
      0.579254070364261,
      0.561160484176211,
      0.341403504717487,
      0.421949019700232,
      0.424207357313622,
      0.490966807525419,
      0.359820782708527,
      0.423192096761965,
      0.446156288389776,
      0.316641132962768,
      0.559727065640959,
      0.408387047905468,
      0.335089050936379,
      0.340343809847241,
      0.402838510630745,
      0.453066303691598,
      0.33506646292358,
      0.342415144514069,
      0.229346306834432,
      0.109869136906716,
      0.261272428461842,
      0.262525028362702,
      0.288339309032454,
      0.219850103728693,
      0.366544993983884,
      0.159431659856269,
      0.426173596147185,
      0.400712975076446,
      0.356329118197405,
      0.387263320614368,
      0.236634196519098,
      0.427655667002407,
      0.388332119723608,
      0.314212188130636,
      0.279922401298196,
      0.60634332376379,
      0.40830579768404,
      0.476108839834827,
      0.366611219260718,
      0.329083211085457,
      0.436418056724634,
      0.188383573090099,
      0.53689785974202,
      0.336296923974932,
      0.53970072477896,
      0.371047733249684,
      0.289912187032202,
      0.475102854310093,
      0.452984216857644,
      0.422410430894124,
      0.438530308960671,
      0.588677788934807,
      0.552967997940925,
      0.566782878527021,
      0.426908543340092,
      0.38430168646233,
      0.44083424867671,
      0.476353150318501,
      0.527454480824736,
      0.376393947994193,
      0.50072123465022,
      0.339892432598143,
      0.425412293360876,
      0.526493210302958,
      0.563908106550183,
      0.493636035080393,
      0.486609720126519,
      0.504410019550088,
      0.485439957691455,
      0.306784220137478,
      0.468519194244774,
      0.518776341073639,
      0.524359488889011,
      0.508812474810045,
      0.48660241639965,
      0.481336714388882,
      0.41286645473798,
      0.366099978390148,
      0.608505514692821,
      0.476942160978761,
      0.42261726035257,
      0.597492191615071,
      0.308511929365382,
      0.471922200564919,
      0.542290209608345,
      0.416826168328757,
      0.430452039415714,
      0.3090777529265,
      0.347055174714458,
      0.394351207844425,
      0.456938871129963,
      0.434719470962394,
      0.375055033126043,
      0.373493488513656,
      0.492887444225302,
      0.388459974681158,
      0.485666016826248,
      0.668459312940249,
      0.397556811036428,
      0.452526358772152,
      0.668537634293641,
      0.58178856946812,
      0.568776190819047,
      0.415314085581723,
      0.470697939807678,
      0.539530669095544,
      0.486816463022306,
      0.572560835918354,
      0.538506365224503,
      0.449475930124199,
      0.504856571153254,
      0.553374469808827,
      0.459642311315562,
      0.438926826017071,
      0.516780786201221,
      0.472477517236425,
      0.492010963758932,
      0.418862978749126,
      0.404847314318852,
      0.467127425328,
      0.578219719446999,
      0.535889198225106,
      0.442659106671842,
      0.449034324517614,
      0.485972901601604,
      0.557059383396177,
      0.424342173720382,
      0.363852578437958,
      0.593514845481106,
      0.369473808519143,
      0.531300075592167,
      0.424105718514906,
      0.330960878387334,
      0.477553312974417,
      0.410848030480826,
      0.524908820749058,
      0.365470363850976,
      0.33928061590964,
      0.383087810981387,
      0.33872162630132,
      0.395512811308316,
      0.377803603126675,
      0,
      0.299358799951963,
      0.21201905948795,
      0.214975085817563,
      0.0404733628086284,
      0.228817180019439,
      0.17069293816795,
      0.248389275899843,
      0.289902717310916,
      0.0022616897566156,
      0.352850067751869,
      0.37225415841537,
      0.138220550529025,
      0.0292627709714305,
      0.189705375605919,
      0.39669924417139,
      0.156532552952739,
      0.294137374362753,
      0.175415698711366,
      0,
      0.00972937357968951,
      0.0719370961615439,
      0.181655580697227,
      0.0175186774225513,
      0.166897974112604,
      0.196752597229244,
      0.484924010429079,
      0.525661967017794,
      0.134339506108169,
      0.187969650513159,
      0.0316007309295077,
      0.22391978052593,
      0.430027652900565,
      0.0566715549452278,
      0.297351113320625,
      0.380595902380376,
      0.129590513233318,
      0.435378319756103,
      0.275910210155113,
      0.0753118176985534,
      0,
      0.115794294424351,
      0.240069353283453,
      0.184774814641656,
      0.571751554882348,
      0.22275415559153,
      0.267101846798021,
      0.378911772852891,
      0.136716030345267,
      0.245457029535621,
      0.278348111659732,
      0.380758166164926,
      0.57355538929113,
      0.260491467104049,
      0.347359830615404,
      0.29131202872804,
      0.406080699710901,
      0.4309539796091,
      0.236501268547379,
      0.45459514666494,
      0.351746919650173,
      0.498008715593223,
      0.330075460538003,
      0.475319022494804,
      0.44826866333042,
      0.49203231675143,
      0.57000944437143,
      0.389772417869939,
      0.522617862527606,
      0.308280687373194,
      0.384752610299693,
      0.261033941299083,
      0.170269798436259,
      0.184635766405025,
      0.394203534299758,
      0.437578598799631,
      0.217133382355339,
      0.688695789282471,
      0.654666536580879,
      0.213996767278851,
      0.500095629717869,
      0.198841021658017,
      0.304020403760156,
      0.0226664857477441,
      0.269515710791559,
      0.441287331300425,
      0.337510644649051,
      0.51688562313858,
      0.563007773626252,
      0.159603660675013,
      0.471336161412102,
      0.362293396220854,
      0.401280002343814,
      0.350339138809531,
      0.553025386164247,
      0.404782084500061,
      0.184002308919145,
      0.459274940550225,
      0.293701973765953,
      0.327530969779155,
      0.50422836975539,
      0.180551982225839,
      0.25360698230129,
      0.143045830592036,
      0.173636136002,
      0.48851034393933,
      0.191358020805333,
      0.343517429412232,
      0.342504980484962,
      0.177186525736199,
      0.56808592471352,
      0.344367986272403,
      0.278439001115904,
      0.377021372364201,
      0.457396573064183,
      0.521175385904139,
      0.461072672987763,
      0.475280642047141,
      0.288765009631495,
      0.475257586256604,
      0.528051375196532,
      0.497572128386232,
      0.593460779348054,
      0.473374967761046,
      0.334840832047237,
      0.360389844909025,
      0.473612590469177,
      0.489084414089731,
      0.361794379207564,
      0.338660522720807,
      0.265045198957471,
      0.379890175690281,
      0.467670886575738,
      0.484243215224521,
      0.467909615725266,
      0.437888674440562,
      0.503737765886688,
      0.532436171515212,
      0.465190469155047,
      0.440215095035425,
      0.537727946596646,
      0.401716141013123,
      0.467473263324863,
      0.473827989945998,
      0.465183642210146,
      0.335168090587421,
      0.313095172384632,
      0.488044011113742,
      0.453773374734577,
      0.406549283895655,
      0.339506816856033,
      0.30713369757078,
      0.460745375440222,
      0.446143846099935,
      0.496421613011586,
      0.457917897646228,
      0.287776552860656,
      0.556609126978395,
      0.35960683753519,
      0.45765269729295,
      0.476514905815001,
      0.464382200939165,
      0.537759203621642,
      0.501182314718332,
      0.527083611321561,
      0.325418270302736,
      0.34321244344168,
      0.464938294831478,
      0.397490282954513,
      0.446942544128515,
      0.50461000628914,
      0.32475130528586,
      0.4195021825315,
      0.604312556671026,
      0.636689865927907,
      0.456162553215193,
      0.27830934208547,
      0.515283749677148,
      0.560578069016171,
      0.285008983308465,
      0.256993559919717,
      0.345843118358404,
      0.308846839702885,
      0.456366571651035,
      0.468752589641991,
      0.187141888461681,
      0.279394449892181,
      0,
      0.40615777757243,
      0.224220843978603,
      0.489513295585204,
      0.372419113933076,
      0.259380131336913,
      0.303113550755871,
      0.413092476050954,
      0.216616256772817,
      0.399969213069325,
      0.141744936931349,
      0.472631918325355,
      0.325021473481666,
      0.17845330846796,
      0.468386218044191,
      0.290710454434469,
      0.511545166324767,
      0.52408566919682,
      0.260754384644892,
      0.332680771881713,
      0.239585666467572,
      0.360385972301721,
      0.289877102723775,
      0.307252538090634,
      0.295419536068195,
      0.369339804135679,
      0.603897074485291,
      0.458133072696991,
      0.257311548227856,
      0.280917618656356,
      0.393000839815853,
      0.273809958788657,
      0.382377769209384,
      0.195480280028363,
      0.267626050401849,
      0.585644141469151,
      0.307851784147993,
      0.420662427498612,
      0.430781889679276,
      0.627378750396199,
      0.479507193297048,
      0.381063561766677,
      0.459231889663793,
      0.364213866134432,
      0.423948693852029,
      0.364563084531947,
      0.364163650718605,
      0.543654278449472,
      0.30832229840742,
      0.358529234820498,
      0.305389791708836,
      0.472227260828379,
      0.462251519908567,
      0.298213137655333,
      0.554281966854205,
      0.470260702352789,
      0.317737534441296,
      0.492829028850256,
      0.467574722545047,
      0.318906320192898,
      0.319743024339399,
      0.377828898316889,
      0.478501991610628,
      0.477897421269195,
      0.523784163236259,
      0.492675798749894,
      0.359881679851962,
      0.529684436529784,
      0.354259245355486,
      0.340811320272169,
      0.413077140710543,
      0.481577291239636,
      0.3007019999522,
      0.359401963200026,
      0.397291971234025,
      0.335603747311876,
      0.227832435733436,
      0.604022394463611,
      0.310156623918196,
      0.294072865252347,
      0.339584032726981,
      0.431615273409046,
      0.4306771029082,
      0.388633433565874,
      0.498414546408431,
      0.262807270175064,
      0.52109846812874,
      0.476077413305708,
      0.345667173351259,
      0.517271199149247,
      0.372868936166879,
      0.517794026971888,
      0.560175516517604,
      0.646293225001771,
      0.478580368329274,
      0.565603806637472,
      0.38912683546352,
      0.482901300799176,
      0.464961727776745,
      0.569573751413993,
      0.510333785937702,
      0.511111362397461,
      0.36530904881613,
      0.565306577557007,
      0.438411255259439,
      0.536451020663821,
      0.555144884123859,
      0.76122719299623,
      0.57400336031455,
      0.496936023262135,
      0.392505450194302,
      0.49325831721277,
      0.537476625509575,
      0.349237720858778,
      0.496041788520742,
      0.363747465323038,
      0.462959192197694,
      0.404542734147702,
      0.476077999719053,
      0.495774942025667,
      0.650497400422055,
      0.388918443863371,
      0.645729719867666,
      0.368657530741641,
      0.579573569683609,
      0.428976011095491,
      0.526146447652651,
      0.390614105819216,
      0.249478627300499,
      0.337431233797664,
      0.45489187037986,
      0.532050478758229,
      0.480746402660638,
      0.480188542945144,
      0.43048052423334,
      0.354080438878264,
      0.386344435903498,
      0.532345270134302,
      0.388599204682002,
      0.415177371097584,
      0.389305428602174,
      0.46967173025329,
      0.47446482945032,
      0.42753507826861,
      0.599278071494992,
      0.601743390685239,
      0.46307402958938,
      0.555594374027451,
      0.491456866343455,
      0.407140791146819,
      0.439785084960829,
      0.479614548345705,
      0.496937883503535,
      0.454511750789886,
      0.454474950852287,
      0.418245381271839,
      0.364639607802099,
      0.464408814840787,
      0.412622319662221,
      0.370027108419184,
      0.384397161018581,
      0.5501675134105,
      0.432578431771175,
      0.411056823165188,
      0.427634077671352,
      0.33197788773458,
      0.489535199773126,
      0.398645816841898,
      0.420288391838306,
      0.432484929652796,
      0.627458559151826,
      0.629556162276334,
      0.508317371113029,
      0.36212676213439,
      0.406763428933173,
      0.546260524118157,
      0.51182398798388,
      0.388494274347124,
      0.426591201536069,
      0.479041840666001,
      0.305706820014488,
      0.532803932356667,
      0.382325838366428,
      0.332885410925491,
      0.37511815551024,
      0.378780638303981,
      0.47324789662858,
      0.327393597126966,
      0.493933349132072,
      0.241462114627384,
      0.197739096898115,
      0.308174659656283,
      0.287359846398078,
      0.287503784918683,
      0.15354163904652,
      0.31543984373414,
      0.19742136816201,
      0.470035800088612,
      0.412162650453392,
      0.372430004318841,
      0.292062284720317,
      0.37541838946728,
      0.449882130325066,
      0.357980523411628,
      0.376069373635043,
      0.2555781347425,
      0.367757310578104,
      0.365917544667758,
      0.521730548745072,
      0.423027700666151,
      0.303395283177861,
      0.457624785053176,
      0.211931191237272,
      0.586206215756698,
      0.309507673826232,
      0.45679981100683,
      0.491224581967996,
      0.304585410637059,
      0.439135872727469,
      0.440516537234049,
      0.429319558451762,
      0.423313238190094,
      0.591575250798858,
      0.491213437080205,
      0.487341790735024,
      0.446817113037529,
      0.416464606004871,
      0.471346385225177,
      0.563669880654733,
      0.541686694531183,
      0.370839354348542,
      0.563417680006396,
      0.361929744405709,
      0.477578562525033,
      0.523608073193057,
      0.57173250069616,
      0.366715174507434,
      0.394721080318107,
      0.445527098523309,
      0.519460567448119,
      0.453029095332038,
      0.602109755002562,
      0.563829374253603,
      0.424090819077717,
      0.484015885137582,
      0.496667575929556,
      0.538378052873609,
      0.619975158858823,
      0.41968904489245,
      0.581684861620501,
      0.382322125180832,
      0.447033946267585,
      0.400054135724831,
      0.484966385954766,
      0.475372403490695,
      0.565675650937161,
      0.451112042502111,
      0.641262168029124,
      0.401233963407648,
      0.338623350006429,
      0.45663220788733,
      0.531701537981666,
      0.463259929226402,
      0.484318232001282,
      0.412400803024574,
      0.486388382499345,
      0.405936100538621,
      0.518817870548247,
      0.595047621158671,
      0.628273387849964,
      0.478927348382641,
      0.597882443108159,
      0.648842002058159,
      0.572955150944557,
      0.422998422692379,
      0.581565604978557,
      0.683012326611007,
      0.47265454412226,
      0.556189155633748,
      0.455485607385747,
      0.468488453984574,
      0.545255575731569,
      0.563745461542943,
      0.560154076561591,
      0.406111900540382,
      0.505178342356068,
      0.46617903128856,
      0.448286793717726,
      0.471069510908195,
      0.426978573755551,
      0.455495900557853,
      0.584898761626508,
      0.513466888294754,
      0.583940009835448,
      0.552586141217553,
      0.580566050202031,
      0.546440989867742,
      0.524088567815857,
      0.446476232575869,
      0.501000715925703,
      0.562041603745719,
      0.571633133161121,
      0.55131102519865,
      0.349575750182023,
      0.470647966931525,
      0.358486727147106,
      0.508323045091855,
      0.376804520395464,
      0.402471156226472,
      0.455651936216001,
      0.469928511647331,
      0.435974385327861,
      0.326340924216625,
      0,
      0.0961436203372663,
      0.298090639314121,
      0.142705860795943,
      0.0173299637527253,
      0.321446465627382,
      0.163475561825993,
      0.329298284991401,
      0.259157996601094,
      0.0366149411146273,
      0.325820072441318,
      0.313540911006488,
      0.155582198163124,
      0.00670086521901411,
      0.168010130797539,
      0.445721971986971,
      0.204432451414913,
      0.326864908119191,
      0.124298278535459,
      0,
      0.0460676756221945,
      0.0654418522067309,
      0.121966448494987,
      0.0562066213606173,
      0.0830789587162445,
      0.235936493967967,
      0.436950782268932,
      0.384691143436609,
      0.221378581888262,
      0.262209969966292,
      0.0759593761538304,
      0.234734988778947,
      0.289900234211171,
      0.0503770915296506,
      0.362787057136934,
      0.411335410855383,
      0.242662780698496,
      0.496423170357761,
      0.0673237735270787,
      0.0919082791136839,
      0,
      0.106705433332757,
      0.266910950092477,
      0.252323219256432,
      0.541456636656317,
      0.131831887382727,
      0.287141716019459,
      0.384299096791788,
      0.128158146256855,
      0.210307067757908,
      0.212709259729098,
      0.447548548160751,
      0.586410630773734,
      0.202083907758208,
      0.329599506678075,
      0.297185334490811,
      0.456814499021723,
      0.397787473932889,
      0.229104434956487,
      0.445751442156917,
      0.388751547481594,
      0.492025245192296,
      0.328353663145799,
      0.484903281756973,
      0.448594578470818,
      0.516312375408379,
      0.559984392107001,
      0.469688412933552,
      0.506340199026599,
      0.38418417854471,
      0.420864326648895,
      0.291317776333183,
      0.184521783349542,
      0.22131641992154,
      0.385979095218183,
      0.50376156924195,
      0.211266327162598,
      0.666069043408641,
      0.470363242736261,
      0.256880117957432,
      0.479044582725772,
      0.170481425890697,
      0.296476705672403,
      0,
      0.260598130162908,
      0.449042512454551,
      0.543956614463824,
      0.539035098137794,
      0.718754292829027,
      0.168665485179214,
      0.499695423427447,
      0.512122008177869,
      0.264068585009611,
      0.373784453365668,
      0.540891831689034,
      0.443131346268018,
      0.184429303217972,
      0.490795953746563,
      0.349887825824502,
      0.366277225077695,
      0.516919759680048,
      0.201075576359647,
      0.258990285709605,
      0.105674428017774,
      0.170091045606617,
      0.412765649966268,
      0.430876794548345,
      0.349368351144446,
      0.32870500768141,
      0.350432619986787,
      0.577309846773886,
      0.322680358838028,
      0.371555327959628,
      0.372207896632608,
      0.577128030304683,
      0.535529306162129,
      0.510751487621253,
      0.540619517642713,
      0.3886641178373,
      0.480464512778411,
      0.486168583478133,
      0.514868128192025,
      0.603896155210441,
      0.533948543118271,
      0.420108136793469,
      0.46162673831224,
      0.432970383308715,
      0.416666324649942,
      0.35806337844957,
      0.34693393635757,
      0.327547614732793,
      0.442278052394809,
      0.471660866454476,
      0.514800238225573,
      0.554096096352102,
      0.434090263654034,
      0.497882607917411,
      0.502394951005534,
      0.533530108172195,
      0.439468638428996,
      0.483652791516006,
      0.386852153990313,
      0.365476485278561,
      0.641438759859484,
      0.484320065663371,
      0.411269391843105,
      0.338910485893655,
      0.515311031201931,
      0.505681403666668,
      0.403034981508305,
      0.386134752744225,
      0.322797578702598,
      0.381118173419486,
      0.463284018063263,
      0.477571198929371,
      0.310992229993202,
      0.283068075694245,
      0.550808287618444,
      0.495471113304962,
      0.494454913964447,
      0.442861893021169,
      0.515581566845221,
      0.485532731615474,
      0.439387486563392,
      0.557485366283295,
      0.406490395439384,
      0.388941443658332,
      0.44416603329978,
      0.418380406600209,
      0.47238116034611,
      0.512947792542755,
      0.484445026667359,
      0.411797161059648,
      0.59882927481613,
      0.657428747980892,
      0.482624046292712,
      0.2741668176136,
      0.637551083426563,
      0.630772780240036,
      0.393661415782334,
      0.234651418811389,
      0.376510439368947,
      0.429573117424076,
      0.484380517886886,
      0.531172221645663,
      0.208556714026105,
      0.264625832960234,
      0.0349057580857597,
      0.427426060609532,
      0.232963467229127,
      0.435168520734988,
      0.292982452195221,
      0.289459641305633,
      0.347590019557929,
      0.446688649720752,
      0.21668994896679,
      0.434533905002443,
      0.160754195348468,
      0.509039988766633,
      0.336492911211121,
      0.248748130325719,
      0.440427639730549,
      0.215976988633641,
      0.51689001550293,
      0.483711763867695,
      0.257919183798521,
      0.29197742295482,
      0.209483807371322,
      0.330430779769443,
      0.276000265325635,
      0.316390943645951,
      0.336095251429538,
      0.289555745162109,
      0.582373160067165,
      0.505039309359206,
      0.527430623267849,
      0.281687680866272,
      0.384269481093463,
      0.275506518755045,
      0.507189030711628,
      0.205890979164119,
      0.355428131959488,
      0.63740520276187,
      0.342608608893033,
      0.4645685595103,
      0.435481230299959,
      0.613536951481595,
      0.536630085461271,
      0.488759349526065,
      0.487424185686468,
      0.387466788990002,
      0.599762679718416,
      0.345016564077236,
      0.405001280657873,
      0.497004485721155,
      0.362666214423736,
      0.345491567430347,
      0.35662332391981,
      0.521004006477893,
      0.505641579136792,
      0.358268279952914,
      0.574154753383147,
      0.534877469409296,
      0.525236897628784,
      0.509967125386898,
      0.577536956484837,
      0.344094109759283,
      0.312086590991785,
      0.440097000810378,
      0.459371155012306,
      0.569792989515866,
      0.489515744636629,
      0.45433099551761,
      0.43089807377235,
      0.559309033646025,
      0.360832118545865,
      0.320988801106902,
      0.387815704647565,
      0.579095729827105,
      0.381164298883495,
      0.409277454010993,
      0.45132261089511,
      0.359991320400451,
      0.282939150052207,
      0.564687213464125,
      0.395693661258121,
      0.336848094361966,
      0.386207688147529,
      0.521555361834864,
      0.484127533200455,
      0.507965538458436,
      0.527065900861053,
      0.359700479054343,
      0.545282194080823,
      0.529323641311966,
      0.410326710522711,
      0.525122681579726,
      0.317630769896347,
      0.538407078468357,
      0.518151035958659,
      0.601080900050463,
      0.488495081706495,
      0.569871048356985,
      0.442230254866958,
      0.547083795910484,
      0.372673315628402,
      0.530546034440826,
      0.531175963182848,
      0.666258057336558,
      0.39767604090555,
      0.675349017102439,
      0.429232668060531,
      0.530564438074152,
      0.606668020344982,
      0.621227022237327,
      0.547281022161309,
      0.353993399233478,
      0.437143295995325,
      0.471640951571121,
      0.460659602161801,
      0.352775198331843,
      0.564047780738877,
      0.494373943497934,
      0.44927228520174,
      0.479063238466961,
      0.482487655008817,
      0.518754955046796,
      0.670088837313867,
      0.509989341949602,
      0.656815090216012,
      0.431758420456756,
      0.559041171789891,
      0.409572222473937,
      0.550878111801944,
      0.521810398663021,
      0.303404808742707,
      0.337307836176321,
      0.352532428368313,
      0.559505038355624,
      0.478635931237703,
      0.550459465049137,
      0.455346656925991,
      0.385441630620877,
      0.577054430796998,
      0.510443483406944,
      0.510971098182878,
      0.448346939017224,
      0.579703466429635,
      0.486530252922893,
      0.526939097894104,
      0.44977865403921,
      0.532088185646895,
      0.56066368094288,
      0.5362811547815,
      0.617143567385606,
      0.498637893838017,
      0.453285325922048,
      0.436599832628451,
      0.491955908113357,
      0.471921499249935,
      0.404567515450657,
      0.403612468872256,
      0.377082196774119,
      0.4128532529522,
      0.489921078712636,
      0.391440508745607,
      0.355376016351481,
      0.379461589066166,
      0.505570373830079,
      0.533317070310715,
      0.449765064370819,
      0.430291507315823,
      0.508658499897,
      0.520457609828131,
      0.451012281684083,
      0.439660692502696,
      0.447522549423356,
      0.642301097688973,
      0.677798242067173,
      0.469461673731042,
      0.361585693593776,
      0.486660563235772,
      0.567197530655833,
      0.554657410690495,
      0.468876491367444,
      0.455497942985067,
      0.499680570656996,
      0.516081165956611,
      0.491173935312293,
      0.375978293568917,
      0.372143624613669,
      0.411038406371817,
      0.458312110344082,
      0.504819648757953,
      0.27931965496073,
      0.575697749407948,
      0.210107083815803,
      0.258490483049414,
      0.354467752715033,
      0.341359868265416,
      0.315853725976318,
      0.161380685810328,
      0.544629115391253,
      0.241828103047086,
      0.464914352462345,
      0.414415384374059,
      0.315721698863276,
      0.25800267110228,
      0.475610879920214,
      0.499533833976563,
      0.398459776700185,
      0.37186962852297,
      0.308859606368939,
      0.308203991476838,
      0.384694673479003,
      0.561352681370212,
      0.53565608459775,
      0.355914355216642,
      0.333198591981274,
      0.232928234182761,
      0.593747354331066,
      0.403927424430796,
      0.4551309472294,
      0.393833659876731,
      0.283588441302791,
      0.464582658876926,
      0.373776352896889,
      0.422518982051499,
      0.567658259208518,
      0.465379772747464,
      0.549503081461409,
      0.491581088815244,
      0.513814027420509,
      0.435014390349872,
      0.502410649478193,
      0.633834891689794,
      0.499996150334944,
      0.427313357551028,
      0.569794878685111,
      0.411044929819169,
      0.489404715785721,
      0.503054098793188,
      0.500134947077272,
      0.410883487935308,
      0.447276144523099,
      0.446527877817807,
      0.529017284143668,
      0.474604373230374,
      0.552789285409699,
      0.650122477125912,
      0.486817291503013,
      0.561403583157546,
      0.452212505960924,
      0.540812939713962,
      0.521960352419199,
      0.471662556505703,
      0.489317176351354,
      0.506040236311819,
      0.494690386597961,
      0.42343399556633,
      0.532688992754582,
      0.481920019656911,
      0.579055126540628,
      0.488123924202739,
      0.547270155707283,
      0.404172725136761,
      0.370245515511538,
      0.464244790001411,
      0.540045109885775,
      0.516021564860533,
      0.46374041543348,
      0.453287815193128,
      0.522292449035485,
      0.510080823199807,
      0.613812195229689,
      0.589703184006562,
      0.743943079226258,
      0.484237442675378,
      0.557141274024232,
      0.680323147471651,
      0.575554634500032,
      0.486702000845977,
      0.537434185239543,
      0.618815611768263,
      0.475436467216977,
      0.597597258132987,
      0.494706117675594,
      0.590968692931166,
      0.585850349874267,
      0.640142525111297,
      0.635090035855779,
      0.468471487942964,
      0.514006261060073,
      0.470832306792715,
      0.442029646753463,
      0.517784093652014,
      0.5197628804395,
      0.466576139610056,
      0.622652280424167,
      0.615463208991544,
      0.630865703754202,
      0.616112174379925,
      0.592068568278347,
      0.597508443208209,
      0.602649355657816,
      0.589665061709831,
      0.534653577469212,
      0.597025367451359,
      0.565965310350104,
      0.560713775357498,
      0.420820848316947,
      0.4060315130691,
      0.365628938821965,
      0.497512937189969,
      0.436363732244051,
      0.441923171796468,
      0.521672078187363,
      0.494749872273128,
      0.405041842002321,
      0.353437186880581,
      0,
      0.260004639540338,
      0.16433691259587,
      0.176749279894657,
      0.00531590635364207,
      0.331365811068193,
      0.143613550180225,
      0.39071006159647,
      0.143804141862468,
      0,
      0.304622877781617,
      0.2576077231921,
      0.186200896973215,
      0,
      0.143826853894769,
      0.425919883162127,
      0.292240506513403,
      0.276210416103464,
      0.148775058201866,
      0,
      0.061057090193781,
      0.0369887528737061,
      0.0926489736355361,
      0.0567074087048656,
      0.152993926119872,
      0.221582523023315,
      0.33420923548474,
      0.382194491172828,
      0.0849857191836755,
      0.248708193580284,
      0.0492112906040768,
      0.240359500751623,
      0.39846166243798,
      0.0368030498872296,
      0.3902065004631,
      0.198124885281134,
      0.0358278438942847,
      0.305509515938734,
      0.077165910839712,
      0.109424280841302,
      0,
      0.129280846581069,
      0.255265470226083,
      0.0788037180685435,
      0.29718129659884,
      0.273492254779313,
      0.249690667756917,
      0.369164634382887,
      0.159910408898197,
      0.234720609675811,
      0.335927385637454,
      0.340913012609868,
      0.568663935761199,
      0.216540665628027,
      0.367827827178482,
      0.350804622317014,
      0.444242571185701,
      0.388691701588394,
      0.234197753283532,
      0.446499546583384,
      0.356179193652228,
      0.507193665734597,
      0.324497843305537,
      0.481964142495344,
      0.443290771768045,
      0.568624576207849,
      0.462817202222137,
      0.410914069023046,
      0.308901980441153,
      0.343088600975512,
      0.449064497049259,
      0.247336749883264,
      0.166044944749166,
      0.241993176329911,
      0.323238154368398,
      0.507652434475353,
      0.232453760285582,
      0.363949918971812,
      0.384118784132679,
      0.279009247973443,
      0.524180569735667,
      0.181482003503566,
      0.261025867548494,
      0.0985574016952818,
      0.283883074336543,
      0.470074355252841,
      0.559885197169744,
      0.407872208011922,
      0.565175255870587,
      0.204784262074467,
      0.526283417469838,
      0.572622554448438,
      0.408714636684597,
      0.438961564968575,
      0.315061794418713,
      0.449730826953674,
      0.212251592308537,
      0.337684127747075,
      0.253216436849218,
      0.347503289744054,
      0.519107829198998,
      0.154833561087419,
      0.303270804056828,
      0.0650865072810681,
      0.181824958118945,
      0.47494249482817,
      0.498351794914865,
      0.356340985002918,
      0.371526562331807,
      0.287347300766442,
      0.549781412340022,
      0.369703800977747,
      0.313095550835378,
      0.457349046981658,
      0.475049854054568,
      0.552206570757877,
      0.522773665371382,
      0.496421881213129,
      0.492751778125215,
      0.484886385389358,
      0.475516097869768,
      0.47929090602312,
      0.468499040179116,
      0.511260538171947,
      0.357187885570415,
      0.458525696093896,
      0.388841713168777,
      0.486499011681189,
      0.348586512817018,
      0.36586910722038,
      0.286818442179944,
      0.41317872874505,
      0.312364117363399,
      0.456564951279026,
      0.574713230461422,
      0.320938547719718,
      0.48511958720015,
      0.460481631020132,
      0.350702905807004,
      0.306285134646547,
      0.297921275660532,
      0.399064946201635,
      0.332264164934877,
      0.494066458998443,
      0.447334814215484,
      0.355765992984406,
      0.326643818300897,
      0.458274048571128,
      0.387048165161149,
      0.396566393156814,
      0.284155759884467,
      0.296687676409415,
      0.449895456646533,
      0.453163304203831,
      0.44190931344003,
      0.457425003708412,
      0.266799419691439,
      0.537854880548046,
      0.384724542506183,
      0.417969718142394,
      0.365860025498602,
      0.308527434276879,
      0.428316617033465,
      0.343002821494694,
      0.393926714076273,
      0.494639515871399,
      0.325447401355174,
      0.439006680649721,
      0.405387910177932,
      0.381321368865832,
      0.47654778929665,
      0.440752922042698,
      0.447643117709079,
      0.474650309256258,
      0.474865793363508,
      0.326117906480407,
      0.266739348735591,
      0.415784772427255,
      0.349782544335592,
      0.587508495805585,
      0.590800372877003,
      0.45364709510925,
      0.509745572686292,
      0.590610197114651,
      0.45712388923887,
      0.262114392386231,
      0.257430099408309,
      0.0423387133591092,
      0.42742612928968,
      0.231849437134845,
      0.163111542714224,
      0.34263343708321,
      0.284539437161749,
      0.577885981074423,
      0.616882825809377,
      0.239543673102968,
      0.386686345621019,
      0.135868478741654,
      0.481352323730851,
      0.363140828489651,
      0.529209856560766,
      0.436908047807983,
      0.241328392280439,
      0.551878501167812,
      0.484645672680983,
      0.276753584653237,
      0.277806423068632,
      0.124617608075143,
      0.348055040894428,
      0.266235184950644,
      0.306660293331046,
      0.354202284796305,
      0.388823821945339,
      0.355669787049416,
      0.619215354084597,
      0.445601490383413,
      0.326656624437046,
      0.367384072795699,
      0.267484351622688,
      0.60321860439221,
      0.176459849135723,
      0.332537385456325,
      0.539303187829804,
      0.592892203154635,
      0.460130784901707,
      0.613984475210546,
      0.442824278845598,
      0.412431832899524,
      0.608748454988238,
      0.486232963795956,
      0.394179469373278,
      0.446867735401211,
      0.338006425348703,
      0.29094287049551,
      0.510053672665055,
      0.326050177178647,
      0.38138190056098,
      0.294378028106497,
      0.484580172956909,
      0.381159597246037,
      0.293574067483284,
      0.293087296130582,
      0.355564007661638,
      0.639226049140767,
      0.539771866311716,
      0.335965231525454,
      0.308742719779016,
      0.286214495561443,
      0.553899390902641,
      0.503251879864185,
      0.356518962473448,
      0.49210967819168,
      0.344787768554722,
      0.388093088836728,
      0.535016555923153,
      0.38487775032985,
      0.318361392468423,
      0.354643216624013,
      0.364803590516336,
      0.579533989591001,
      0.355912983129699,
      0.351622972867318,
      0.363668913630374,
      0.249052885775206,
      0.558066911279551,
      0.394987746951021,
      0.307638470930228,
      0.313429702040828,
      0.34931611313612,
      0.588421921758208,
      0.396556175422519,
      0.444849475300259,
      0.325410398226478,
      0.444678915447608,
      0.526819658201743,
      0.362612481262845,
      0.542597259474009,
      0.294036580456316,
      0.494483790549556,
      0.538767351636835,
      0.461999667517774,
      0.579196385090145,
      0.433220958518293,
      0.568996063649128,
      0.506153528503459,
      0.506906493804715,
      0.33065506960345,
      0.545599108951362,
      0.473163341185447,
      0.3970488218739,
      0.545251039618598,
      0.37580910851469,
      0.387260471491037,
      0.437622447309236,
      0.382174101368773,
      0.535256994366988,
      0.362898938171274,
      0.419602684149588,
      0.466941511978684,
      0.43967185536316,
      0.458662034386058,
      0.51041331172774,
      0.47384058203751,
      0.487379636911725,
      0.530494529709556,
      0.480582142887263,
      0.538198180218615,
      0.402253215285776,
      0.593843134636109,
      0.380733243020638,
      0.601213509242648,
      0.494702533657913,
      0.366055540155464,
      0.524319372930379,
      0.529726723393041,
      0.320384119805686,
      0.299327017837421,
      0.43902270214711,
      0.527425760901374,
      0.48696106510302,
      0.533726177476777,
      0.431848801795424,
      0.415217588694727,
      0.559212371429534,
      0.466776991453956,
      0.502019547743324,
      0.46071253898025,
      0.527725911973791,
      0.361940995707675,
      0.50347273988102,
      0.412518605206261,
      0.406309966269496,
      0.540952280727732,
      0.494465814224458,
      0.48557820239619,
      0.439707791175089,
      0.35983005958892,
      0.479215898731084,
      0.492840823430709,
      0.420206871904269,
      0.406086794270598,
      0.485828031191559,
      0.422488363576923,
      0.403982515565177,
      0.340999039679305,
      0.417766774593213,
      0.388397592203463,
      0.565523836219006,
      0.531203971126734,
      0.540597270501951,
      0.354940220932232,
      0.353121615777665,
      0.521662523164043,
      0.501759757323216,
      0.439663416715979,
      0.413605630084477,
      0.444451856896402,
      0.483895222379061,
      0.618999478524773,
      0.489045961406194,
      0.36578397242575,
      0.523264140374457,
      0.482110695504587,
      0.519556461543173,
      0.428755757674347,
      0.410070279074385,
      0.517783280116274,
      0.441336574458662,
      0.507016956223745,
      0.404452438667731,
      0.424497903554084,
      0.332640620251411,
      0.424725608916139,
      0.543787646347904,
      0.342043545928038,
      0.426866067429353,
      0.309790398606316,
      0.15985098697212,
      0.301021238433693,
      0.294716965879864,
      0.275199060212949,
      0.179869238135681,
      0.500106498047146,
      0.202538956402517,
      0.445440923331218,
      0.411665293882689,
      0.342720715506918,
      0.317114657140385,
      0.366187429500912,
      0.469704564713058,
      0.43732822322953,
      0.394002274215348,
      0.279217905824662,
      0.641053637353123,
      0.431511306546928,
      0.535033140649755,
      0.521237816387434,
      0.324939236927074,
      0.30083804992447,
      0.298853843063245,
      0.546144124916522,
      0.367556625811775,
      0.478061640101714,
      0.445472353042778,
      0.37698190027167,
      0.478210899973176,
      0.45675935520354,
      0.405080436729689,
      0.599002707178393,
      0.500591022777192,
      0.494829425002501,
      0.547275106283092,
      0.498525608647316,
      0.428093001483414,
      0.508565966342647,
      0.524719269098424,
      0.504452888619739,
      0.399386928937144,
      0.538780355264732,
      0.396362097606953,
      0.512660824630058,
      0.472495150607667,
      0.497305622175581,
      0.492447856867649,
      0.504300846794794,
      0.516483309350219,
      0.490768800172927,
      0.409503273515005,
      0.461713842753604,
      0.640581974201262,
      0.616548734083762,
      0.576837276317577,
      0.418762420288793,
      0.518702651914246,
      0.327054081287187,
      0.588522317209624,
      0.535497369502985,
      0.536245194994241,
      0.468872582272097,
      0.43898710502058,
      0.333706745429292,
      0.527182887208273,
      0.534256617128079,
      0.444464165558415,
      0.348308671505566,
      0.338604907544433,
      0.377868029236677,
      0.37190862665276,
      0.441410009687849,
      0.465620515583204,
      0.367862487036866,
      0.418586768404601,
      0.54823763319974,
      0.468322454194115,
      0.574676305717249,
      0.572143253299591,
      0.595456597414181,
      0.544539745683148,
      0.635412971411098,
      0.553149570926005,
      0.451736916810169,
      0.445711368232778,
      0.485470278824285,
      0.57386435964712,
      0.458710265786952,
      0.623248614298277,
      0.521707724191586,
      0.484261589829881,
      0.476155199554626,
      0.5244699269752,
      0.52558031633186,
      0.478587239461087,
      0.505177469150874,
      0.52617851636095,
      0.469990716356035,
      0.474532654425207,
      0.486596474333253,
      0.425549060135511,
      0.514381080396063,
      0.542811452528859,
      0.476238666452159,
      0.526684887250657,
      0.365222064687136,
      0.553910735282219,
      0.417637900241294,
      0.402101296368564,
      0.49483856450664,
      0.56012302278264,
      0.486271923702698,
      0.45526302390331,
      0.423236426824779,
      0.456553307549063,
      0.449643810112044,
      0.475426524301084,
      0.439801031508722,
      0.382992389113974,
      0.430432259434892,
      0.345687070582608,
      0.450709473739368,
      0.44637814592682,
      0,
      0.232329850855184,
      0.141230247771442,
      0.311367708016561,
      0.00988501160022047,
      0.257918308231988,
      0.107392687949063,
      0.295937329330991,
      0.329993855210688,
      0.080593306774112,
      0.314501613892017,
      0.299778710081088,
      0.161915840903006,
      0,
      0.213859457027795,
      0.366595564264013,
      0.293755319998286,
      0.317914719209945,
      0.183316636589421,
      0.0466995140153956,
      0.0843493174968846,
      0.0366651459554632,
      0.131148047209793,
      0.0508613833332611,
      0.223436581051341,
      0.178059194333516,
      0.460424595224069,
      0.516035161725781,
      0.100516220956142,
      0.236498134450849,
      0.0663694267938094,
      0.252771348337221,
      0.45347474735206,
      0.0624584184622273,
      0.372268868168497,
      0.406409330818896,
      0.0191837883153838,
      0.423850928905978,
      0.0999128653002929,
      0.126411416511381,
      0,
      0.253190809887022,
      0.22622784184232,
      0.314741264284808,
      0.467860163812456,
      0.244223946951696,
      0.206765242960812,
      0.392704536256336,
      0.172028093296297,
      0.209437184208814,
      0.206248445877578,
      0.4312542790563,
      0.550575687402601,
      0.236350200509623,
      0.372927675721575,
      0.319083706807016,
      0.399388226590524,
      0.407771559140922,
      0.254893482887208,
      0.486822249773624,
      0.356680237366363,
      0.526754769529004,
      0.335914874672893,
      0.500549079543903,
      0.590990312982519,
      0.554169602525208,
      0.45229558435005,
      0.380842676076114,
      0.354236394139311,
      0.246752126179041,
      0.426016636074555,
      0.346009077305887,
      0.171818218133797,
      0.179127155154855,
      0.321953507168239,
      0.472264094738409,
      0.226061582913675,
      0.559602950749856,
      0.607129931440589,
      0.270601377784741,
      0.519571725801906,
      0.291073816513106,
      0.321266519735041,
      0.0779893235362727,
      0.277681890426346,
      0.451336345396821,
      0.341516633192346,
      0.386023507138012,
      0.355244858452708,
      0.286172243396944,
      0.534486648418902,
      0.358820081409105,
      0.495843745526126,
      0.422631461698537,
      0.344781379260337,
      0.388347543764965,
      0.216926652833546,
      0.498289240254712,
      0.255130544309956,
      0.303598359211467,
      0.518341882001099,
      0.196853176620772,
      0.26772827250656,
      0.0367260476573406,
      0.170694503352814,
      0.507458272195212,
      0.286062210393789,
      0.365239771245315,
      0.34559803801173,
      0.152788296985048,
      0.571023617745803,
      0.385348959024524,
      0.346970939750841,
      0.406748121297038,
      0.344497074713964,
      0.511567400404219,
      0.473550114066669,
      0.406192016939778,
      0.408017178266607,
      0.484239563789259,
      0.477422178205398,
      0.478055225694109,
      0.489044257137951,
      0.438272368654378,
      0.358112674107957,
      0.375155462597605,
      0.476341785700028,
      0.493456918221034,
      0.342185171718722,
      0.313639965790798,
      0.247043905612973,
      0.395589983216436,
      0.350144989527755,
      0.401386424525344,
      0.446669480071422,
      0.41414516968511,
      0.493617149435266,
      0.506873005637106,
      0.279329280734963,
      0.403863362245723,
      0.513899120732809,
      0.42279641546485,
      0.330250939671873,
      0.449231882587497,
      0.460563540459641,
      0.285303359932195,
      0.371640929391252,
      0.465510051056542,
      0.328170051490802,
      0.408447572816632,
      0.315610230745136,
      0.276015931844739,
      0.449785587729824,
      0.486793998702956,
      0.46271366180516,
      0.410218008601068,
      0.263792376364921,
      0.53444779192771,
      0.301022351403637,
      0.48048642288603,
      0.495266129681235,
      0.351711584137365,
      0.40237252608717,
      0.360727923612355,
      0.400111134417473,
      0.406619628652472,
      0.323238594861166,
      0.438409557232947,
      0.404283642092351,
      0.410381160393114,
      0.462401640410818,
      0.358156755360211,
      0.481120595887713,
      0.447862109427058,
      0.44375223211791,
      0.33076518677518,
      0.256503188034399,
      0.281432419329086,
      0.397323399470297,
      0.569332655542527,
      0.54371269360085,
      0.370028171637865,
      0.515781046695512,
      0.520934791732782,
      0.450861777151746,
      0.26410019487324,
      0.236472729976113,
      0.0102035899052233,
      0.417578680350954,
      0.253461914075645,
      0.38251721665556,
      0.363172207809133,
      0.270000949140901,
      0.542063207293284,
      0.516277050341978,
      0.204851568415193,
      0.381023129261123,
      0.124694128538672,
      0.442758679075146,
      0.404062542970888,
      0.513806734881165,
      0.391694923541609,
      0.286752651170631,
      0.575252143435028,
      0.48355358710542,
      0.216286658696809,
      0.265568091646843,
      0.172576789984031,
      0.393234637747308,
      0.294404553955562,
      0.3184306582202,
      0.341587071431909,
      0.342714870061792,
      0.358980963206394,
      0.549231834393907,
      0.28444271953588,
      0.468415248302031,
      0.312887961655859,
      0.3608305525046,
      0.495379880728184,
      0.32249585090429,
      0.361731878133897,
      0.442507665556496,
      0.635646538239983,
      0.434168419680415,
      0.535014883742857,
      0.436464357584442,
      0.400342844375141,
      0.470404566716518,
      0.499787485191997,
      0.549523545830106,
      0.350029049763711,
      0.345680072468553,
      0.257614347884817,
      0.499573580528942,
      0.261154323278465,
      0.352525605274084,
      0.270630066954125,
      0.439273120506093,
      0.444969674577491,
      0.259072619832327,
      0.316977874600174,
      0.365890514940693,
      0.459985010798816,
      0.494158053618027,
      0.311643984754475,
      0.312776021674003,
      0.31218395476395,
      0.711222593948022,
      0.484007484867716,
      0.328435191783211,
      0.447687108742916,
      0.313426099535361,
      0.358527937122379,
      0.526659250682535,
      0.436984532234699,
      0.342607012311257,
      0.300837741367385,
      0.269006049177699,
      0.57603276502805,
      0.294339845791487,
      0.311421306160805,
      0.29252025485757,
      0.216742062420317,
      0.547293255151633,
      0.411531801692993,
      0.276324990213592,
      0.323232950048207,
      0.3783812732479,
      0.588994490617108,
      0.353197146235743,
      0.409404819321138,
      0.294621787639755,
      0.400445464939076,
      0.499465619917533,
      0.316555167183696,
      0.489416597239072,
      0.352708413955691,
      0.573391791005413,
      0.505341555833621,
      0.437545103307117,
      0.528240291122721,
      0.438555516823155,
      0.549293455841385,
      0.46308175001805,
      0.474826569769034,
      0.499737439563153,
      0.490191542514448,
      0.328453085103283,
      0.362596124653918,
      0.412892448248867,
      0.352723091679689,
      0.41087795829075,
      0.321226450088097,
      0.296572705732532,
      0.496541018868945,
      0.420160043181863,
      0.386445866722607,
      0.448749901527459,
      0.406280786803452,
      0.463117456353643,
      0.559174606132384,
      0.326381534846566,
      0.566685566615779,
      0.437629644010209,
      0.561476529169907,
      0.558240804373027,
      0.401131231116469,
      0.469547768329156,
      0.41522528497969,
      0.61852701203191,
      0.544360943156741,
      0.406746414910132,
      0.47445218589447,
      0.378636750496016,
      0.272214788034873,
      0.2809731471655,
      0.591666400455055,
      0.475915555770117,
      0.523134575829723,
      0.537951298602001,
      0.413493870670843,
      0.45095433947099,
      0.457046433942751,
      0.425725027443138,
      0.418884392002082,
      0.411890378910289,
      0.383128057899022,
      0.354041958749402,
      0.334773879990893,
      0.401268301181789,
      0.402624555751281,
      0.545935801579792,
      0.426028039387712,
      0.489167925745779,
      0.43071576511951,
      0.33055878923363,
      0.565516455820949,
      0.509800174314313,
      0.428706415460161,
      0.422501781006962,
      0.49727019806576,
      0.434866978821132,
      0.396704783721496,
      0.349015958190071,
      0.495440738341769,
      0.382528333384825,
      0.55848320628828,
      0.542224072209031,
      0.460975209057477,
      0.328688105558664,
      0.403136486891436,
      0.37230788779933,
      0.526175084323836,
      0.343441066212873,
      0.391767464132081,
      0.46093551828087,
      0.435695855052119,
      0.562279798860086,
      0.473906507828542,
      0.427320515540468,
      0.516645499098032,
      0.419462727435672,
      0.445131998871351,
      0.363481917462813,
      0.410252160694033,
      0.502077352449574,
      0.33028274789858,
      0.504317989810425,
      0.352272775957952,
      0.363935920200695,
      0.321604541270247,
      0.403518182126255,
      0.569302243254734,
      0.341739349990925,
      0.32559467339836,
      0.376840567673879,
      0.15441655109786,
      0.264818066702719,
      0.298849644828538,
      0.285980204820319,
      0.264863678143134,
      0.336136465695259,
      0.161658084080517,
      0.413427050357353,
      0.503650573141005,
      0.364623176360741,
      0.378787717686514,
      0.382637421152764,
      0.404655883451312,
      0.426451551680594,
      0.434661884344379,
      0.29773453338772,
      0.566164405811432,
      0.440993097877967,
      0.528542061181835,
      0.411317957875426,
      0.337935346625692,
      0.371433949746195,
      0.225796301869319,
      0.5772847912467,
      0.374197979357983,
      0.505035294701411,
      0.497178028227971,
      0.371035954474498,
      0.512435367504495,
      0.495283050810756,
      0.394869986967831,
      0.418240461685019,
      0.544188805053395,
      0.539710725967918,
      0.559075388202998,
      0.563342418476874,
      0.439181682361009,
      0.50049313214943,
      0.523946330869697,
      0.515556534420342,
      0.407717393944105,
      0.516961892556159,
      0.344076282798235,
      0.502088686461678,
      0.42096793382681,
      0.567747301250737,
      0.567314619526226,
      0.523761224414208,
      0.5489144004012,
      0.474982242385719,
      0.382877707695266,
      0.408251264325554,
      0.403201014695043,
      0.55247037356133,
      0.506104843734803,
      0.454623619860925,
      0.533561736117858,
      0.344177320033998,
      0.474173064277511,
      0.556686595297336,
      0.411332359090749,
      0.431408255171986,
      0.501556554357774,
      0.326376261739607,
      0.542955541688696,
      0.507388362704509,
      0.50342074444844,
      0.568193245179581,
      0.313761127236844,
      0.395951894404699,
      0.459371064003872,
      0.575782078549325,
      0.539258729757865,
      0.578545282591144,
      0.419061696030719,
      0.563617719837307,
      0.440255551766923,
      0.477619985187956,
      0.496731404251617,
      0.411769880142303,
      0.56138890242001,
      0.652054951995353,
      0.433838782873124,
      0.428939929635467,
      0.395052573210862,
      0.46417569510075,
      0.545646916362794,
      0.431729943051332,
      0.577915870454359,
      0.557080874725074,
      0.459094940181036,
      0.476913737124549,
      0.490428669739243,
      0.450537820673593,
      0.452840112789833,
      0.49473593377852,
      0.536014279798804,
      0.477473773219106,
      0.414067195537632,
      0.409778782502317,
      0.43523486818379,
      0.552028771528871,
      0.539538851452754,
      0.44017956178817,
      0.449432409179125,
      0.49110526069911,
      0.519381151273151,
      0.398990961951717,
      0.33128125606594,
      0.594153511445508,
      0.38848559492971,
      0.531525118989922,
      0.468394889776135,
      0.394384726413621,
      0.451580024324476,
      0.407112956668264,
      0.476969680987797,
      0.427327454420639,
      0.396752918289958,
      0.418283581951691,
      0.261024535521631,
      0.447148896431949,
      0.454592172300833,
      0,
      0.301577532607766,
      0.20337127816457,
      0.21052761010703,
      0.0487994233202073,
      0.259174533338389,
      0.149106557336311,
      0.288863356295748,
      0.314528832775031,
      0.0608723306549695,
      0.415001327231105,
      0.297132276122332,
      0.195116778506528,
      0,
      0.245932457475023,
      0.327755641404882,
      0.215247431054841,
      0.279445074471738,
      0.178158522969297,
      0,
      0.0831275690034607,
      0.0189593472806096,
      0.131448295631256,
      0.0653360658733638,
      0.185873397806274,
      0.19497807252644,
      0.549901129956536,
      0.431663997929221,
      0.130427188275222,
      0.233055992673086,
      0.0845327022707421,
      0.377206308542183,
      0.276117828052851,
      0.08453793957099,
      0.428915576359465,
      0.436097933082118,
      0,
      0.512102480104303,
      0.0360600904348207,
      0.117439892194548,
      0,
      0.253774932548526,
      0.254387920657318,
      0.403430278073582,
      0.589205874271328,
      0.227460558970903,
      0.176140028192076,
      0.442917590400142,
      0.268754498285397,
      0.202904320673582,
      0.376404986787135,
      0.383000329529862,
      0.588648133471551,
      0.283773094118157,
      0.319166477909047,
      0.233282097998437,
      0.366604176937199,
      0.38788325639422,
      0.246898569984015,
      0.440550894693619,
      0.36997379489443,
      0.514159260336938,
      0.353857570119409,
      0.471477959203693,
      0.464818793719484,
      0.512746116963312,
      0.563472231357205,
      0.391637439132104,
      0.401332320048763,
      0.26227264956335,
      0.466650554206637,
      0.372773380600033,
      0.220177759815676,
      0.17902502245155,
      0.38462762212786,
      0.472083339883494,
      0.262683644298078,
      0.731307343556654,
      0.583084215828965,
      0.346344290374044,
      0.490741772366623,
      0.32453376057288,
      0.285518687926607,
      0.0236477968982951,
      0.258240768881432,
      0.526938952116114,
      0.322962683238189,
      0.39145327556546,
      0.383963258758544,
      0.325342306701628,
      0.488921563087093,
      0.412108669295794,
      0.419590489501209,
      0.339704929480376,
      0.413177846124699,
      0.391685987093353,
      0.208462989255813,
      0.498236375484681,
      0.388165946044038,
      0.348922331701095,
      0.490402204840711,
      0.252899593029094,
      0.268289685804069,
      0.0920192455349212,
      0.170789226748885,
      0.542582176210842,
      0.50869057103736,
      0.412760932512165,
      0.288270764577596,
      0.24192905199678,
      0.640791746850568,
      0.481126121544802,
      0.488154858382975,
      0.338463329811609,
      0.472635338035896,
      0.500522022013913,
      0.471533852536959,
      0.488984640403655,
      0.331242582463153,
      0.471501062325341,
      0.466940995690734,
      0.523152245862831,
      0.611550901693179,
      0.388972702276869,
      0.407276676181873,
      0.446780017210324,
      0.416414495748319,
      0.416951338771036,
      0.287223044938894,
      0.362096007822126,
      0.295512852263866,
      0.403342512302231,
      0.464920898875761,
      0.455092937433791,
      0.569622682440765,
      0.429951813365977,
      0.51176583028451,
      0.446135238879019,
      0.423561633755592,
      0.455042725371528,
      0.594098326587442,
      0.444792484940656,
      0.577299920217459,
      0.479801042163647,
      0.486487868791066,
      0.49486228321219,
      0.416398341693426,
      0.532023451510766,
      0.466055204924938,
      0.430747866691909,
      0.263882053262063,
      0.323173704001053,
      0.425469323629818,
      0.544473649992345,
      0.482574432183269,
      0.40969873890208,
      0.25006626287541,
      0.526752217886932,
      0.370836737552715,
      0.466778955319825,
      0.597674777443653,
      0.572679706769434,
      0.402218197089696,
      0.424609724811174,
      0.428899058056139,
      0.423268194731438,
      0.36844483565465,
      0.42892061789243,
      0.431054366067538,
      0.438263395709559,
      0.448074379081888,
      0.305039447878691,
      0.44365771921064,
      0.488207708583553,
      0.471563412758515,
      0.468180637776476,
      0.241440225764263,
      0.278236298248177,
      0.494909409439432,
      0.389584302737216,
      0.204718649626198,
      0.342088097616107,
      0.370185439614952,
      0.423139539586535,
      0.403768031874712,
      0.222108596199766,
      0.227574055927241,
      0.0311276860841577,
      0.475370318442407,
      0.271438208292586,
      0.469310002860345,
      0.32334287935576,
      0.270157560274158,
      0.446706784474845,
      0.453078165639332,
      0.22533667315159,
      0.396246636240074,
      0.157010067172675,
      0.44675526541392,
      0.462664010876935,
      0.226675664068212,
      0.395144128182858,
      0.133808029211585,
      0.559293753241868,
      0.464861322448533,
      0.231409712035837,
      0.299068153582438,
      0.174438896145241,
      0.43941348796184,
      0.338668031283462,
      0.335227204885917,
      0.34906071313095,
      0.383676019946792,
      0.350253142762546,
      0.535718839775675,
      0.291084766087786,
      0.436928615414044,
      0.394637323007711,
      0.501691240057282,
      0.47058212515817,
      0.32464172411833,
      0.447266864016901,
      0.372052388700113,
      0.39199754705558,
      0.418355294771715,
      0.393993532030712,
      0.44002439211886,
      0.37064980751503,
      0.346938619906845,
      0.489403329172771,
      0.475613369057063,
      0.325607370869979,
      0.329013832983039,
      0.278003725574516,
      0.471767477577003,
      0.297035751485971,
      0.362845372511756,
      0.233762936646196,
      0.41826364040935,
      0.438776543742234,
      0.302271806345241,
      0.540523287790439,
      0.456983541015536,
      0.295142926293019,
      0.464898089770851,
      0.288665319106859,
      0.366305865370949,
      0.326749037519895,
      0.511926486974556,
      0.451944584763903,
      0.310378031061472,
      0.437417276534842,
      0.289936811647351,
      0.328988281753472,
      0.516020817604996,
      0.334284206623118,
      0.345350992204083,
      0.33867437812675,
      0.245662161270055,
      0.327034976530182,
      0.313413249329157,
      0.363766396420575,
      0.261673908207396,
      0.242075842730806,
      0.551652926575434,
      0.308582638903712,
      0.244404463347568,
      0.320451273847183,
      0.333443491549128,
      0.400189912400996,
      0.391184890038005,
      0.490223475544058,
      0.330410484955866,
      0.523327641407099,
      0.527742808223828,
      0.354618943986339,
      0.530224254272994,
      0.308818487532941,
      0.619315286447148,
      0.523075053214948,
      0.624769863797462,
      0.493158573133551,
      0.533201104737878,
      0.472196890429325,
      0.544258759957731,
      0.467876352279627,
      0.585867112284612,
      0.466858892640094,
      0.42022559188135,
      0.343514526817136,
      0.65757843056361,
      0.349924054500756,
      0.443590716847103,
      0.532830249063991,
      0.594497076351695,
      0.454216640854141,
      0.410125361837595,
      0.350041833847419,
      0.492973003830223,
      0.435500619931229,
      0.392379398350762,
      0.638215473686624,
      0.44158437813466,
      0.551819621379958,
      0.373957567190108,
      0.566449496525537,
      0.55271964701981,
      0.466326387519932,
      0.402776842084641,
      0.4859928642957,
      0.399533192857018,
      0.551273588914372,
      0.425554981305664,
      0.519209863421506,
      0.380449401660309,
      0.283287524504212,
      0.284446688451018,
      0.64974725864724,
      0.547668161152184,
      0.495442332085666,
      0.566561432586514,
      0.42404773942367,
      0.518630182456132,
      0.561207777919189,
      0.412331980519571,
      0.43989893672712,
      0.370001245861822,
      0.440091214620741,
      0.505924165451145,
      0.495213450429621,
      0.397764292299634,
      0.624109927113591,
      0.568174537463989,
      0.480638080704755,
      0.620375144411653,
      0.512142841707099,
      0.392450871265616,
      0.515864850838828,
      0.55866542365748,
      0.444537564114221,
      0.436579785116853,
      0.350502510921526,
      0.51018559156653,
      0.447708392512636,
      0.466216344048664,
      0.402140170979369,
      0.388674048200872,
      0.392536821523296,
      0.474017671041175,
      0.604268951513481,
      0.41355276497833,
      0.475360286506667,
      0.460158840379933,
      0.577551667756989,
      0.466741783490904,
      0.38140404759107,
      0.511783280002631,
      0.61584338689612,
      0.592071200100947,
      0.421402318772262,
      0.47149352325602,
      0.58578135708055,
      0.514288511316529,
      0.427343358534329,
      0.483974730382512,
      0.430761109876396,
      0.530471974595882,
      0.543256559315014,
      0.484703555725707,
      0.371258251261109,
      0.337907999778815,
      0.381955937031105,
      0.403053532241677,
      0.595465970797132,
      0.349887115988429,
      0.610231620377098,
      0.365000581695412,
      0.360241683828468,
      0.311788553890104,
      0.291502046725558,
      0.31344688736052,
      0.260266797600506,
      0.478833409414127,
      0.191464596704851,
      0.434181615779587,
      0.537248600545899,
      0.348317463361578,
      0.421274893841301,
      0.410937807751498,
      0.437258685801224,
      0.414093568940697,
      0.441935282556698,
      0.434487464761939,
      0.446675479732823,
      0.433282024090824,
      0.609154885566783,
      0.452109023335126,
      0.378985309067308,
      0.316178908926997,
      0.174421699877845,
      0.554929927299045,
      0.474928356735768,
      0.461750225471387,
      0.433236018282173,
      0.38057937373254,
      0.510089868130311,
      0.502098345836679,
      0.442441544480397,
      0.472078778996651,
      0.463195218613897,
      0.548578382427548,
      0.560727614963113,
      0.489695461039556,
      0.500192980121368,
      0.46302304497208,
      0.55487248240602,
      0.489329572530821,
      0.374663381627386,
      0.517996273188988,
      0.384931525906328,
      0.477951777514232,
      0.449851626782314,
      0.492975388912799,
      0.466373204532514,
      0.457653137062175,
      0.49238065344667,
      0.478326064142066,
      0.44657929699493,
      0.601328828958245,
      0.487597882187736,
      0.439818601008446,
      0.485146298393993,
      0.481031663925969,
      0.590034511284812,
      0.56733124950115,
      0.440137881047258,
      0.507969552723405,
      0.44653923521761,
      0.436106439823669,
      0.401287497312275,
      0.604305079863224,
      0.502936415366016,
      0.528718632915102,
      0.443409450746633,
      0.605541372830912,
      0.434045562632799,
      0.426789981624951,
      0.449178910660384,
      0.615839552516005,
      0.475014526200278,
      0.490870697167188,
      0.424626352289012,
      0.524296875037846,
      0.500079007130963,
      0.491539219465494,
      0.476865950494465,
      0.413961003645113,
      0.466530442833567,
      0.599341348886981,
      0.460318649817806,
      0.42273308915234,
      0.378427252130251,
      0.503537204587052,
      0.515235555256926,
      0.438693483227122,
      0.442788643677433,
      0.457064950227977,
      0.477359559045127,
      0.545410055109926,
      0.44595719694229,
      0.417845464549772,
      0.404454174423787,
      0.504498772998994,
      0.43191142162796,
      0.445689772745539,
      0.516478816534036,
      0.439466259243069,
      0.423449312303819,
      0.563144413179754,
      0.525886864222187,
      0.5082970898684,
      0.455154030945618,
      0.513207936638844,
      0.50303124150453,
      0.332904465607599,
      0.324564515952804,
      0.535541958848839,
      0.363475724544609,
      0.564303884714271,
      0.453167661688341,
      0.359343804713762,
      0.558101611260524,
      0.363811159037297,
      0.472553884086429,
      0.393606132673201,
      0.372590650445768,
      0.406266611541422,
      0.265981780247171,
      0.434338558092283,
      0.39225723736813,
      0,
      0.442774649637947,
      0.181801021770653,
      0.356474675974935,
      0.0238790452931646,
      0.313089030592667,
      0.135992688140188,
      0.371894119876122,
      0.242706942169893,
      0.0206079560540019,
      0.419105849922042,
      0.316219341504987,
      0.282835841378889,
      0,
      0.256444733098614,
      0.319405064534529,
      0.228065876956979,
      0.293074063045149,
      0.244051407055649,
      0.125929545324378,
      0.106254291338141,
      0.021722936576745,
      0.0922367488588438,
      0.0666449828500722,
      0.192007285851291,
      0.137830705972885,
      0.474435272074421,
      0.291150063859452,
      0.16931764373594,
      0.292052884196195,
      0.135471895232171,
      0.349462722899906,
      0.398943698491845,
      0.126057060930278,
      0.423796714586764,
      0.270484104131587,
      0,
      0.409215614337469,
      0.189436249193511,
      0.174759369945727,
      0,
      0.225461084477142,
      0.224795963156407,
      0.195852405872735,
      0.484477705501898,
      0.344645765745314,
      0.198026150466062,
      0.416943899974472,
      0.232468805925434,
      0.320225656237838,
      0.407745198327043,
      0.38207242006032,
      0.579807460682793,
      0.272007576235172,
      0.281727962465793,
      0.263056406850138,
      0.34497750466472,
      0.36309864785899,
      0.255510678813537,
      0.407612713524944,
      0.346704451406646,
      0.49024722283162,
      0.328795856476396,
      0.473612364831492,
      0.438203189610334,
      0.490704656378598,
      0.6113896211212,
      0.614135865290072,
      0.47502065302086,
      0.310671560892541,
      0.509409973748604,
      0.388429109689954,
      0.23565968733993,
      0.234939571991924,
      0.387679496143755,
      0.417677048251009,
      0.207367413002955,
      0.615161852735164,
      0.390918934411662,
      0.278687307874278,
      0.522371609425483,
      0.255250195327664,
      0.275744224888028,
      0.0490377490458362,
      0.255636989199061,
      0.487731118327712,
      0.463994294601797,
      0.412476329967031,
      0.648969252314714,
      0.22497625762468,
      0.505939000474205,
      0.599311979261599,
      0.35175908949752,
      0.329224592635253,
      0.516009828273186,
      0.376306658750427,
      0.277860136376763,
      0.415660155440507,
      0.374893966773862,
      0.306158660911295,
      0.473124261154966,
      0.251038511021747,
      0.246854751936481,
      0.0665713524682853,
      0.1817043377969,
      0.486759168625978,
      0.553863481210712,
      0.461969053335384,
      0.461936104772695,
      0.371825922700002,
      0.606480849017945,
      0.428496313620312,
      0.516212283276213,
      0.389676187498002,
      0.592432386780319,
      0.602777547966026,
      0.486480359856875,
      0.540039598884052,
      0.39063190949993,
      0.482742021937785,
      0.516683801814439,
      0.503902467688627,
      0.554851092845789,
      0.406216206149507,
      0.389254692576223,
      0.440247583735986,
      0.393138867584735,
      0.556083395759743,
      0.373669270587963,
      0.401675529307423,
      0.267861247322282,
      0.417423040951789,
      0.369772651682964,
      0.418457915132555,
      0.602324521306084,
      0.363771431160476,
      0.526100479769618,
      0.479714203285498,
      0.483170884284058,
      0.453534341981992,
      0.442258912589069,
      0.505804538920041,
      0.544606833899508,
      0.651391341409718,
      0.445429745299526,
      0.432054587962234,
      0.440604052565742,
      0.484091554450071,
      0.45362564387431,
      0.437078631971212,
      0.24155731771312,
      0.301261297525954,
      0.570897775726885,
      0.504621939488221,
      0.447026981916477,
      0.507210172912285,
      0.269956556331863,
      0.474084089442107,
      0.468703137362075,
      0.461290438356899,
      0.45322901169735,
      0.524180864409848,
      0.442300820071298,
      0.442991601432229,
      0.55872928866785,
      0.54587510992146,
      0.376340932699885,
      0.4031971281042,
      0.460575776270521,
      0.450110951244989,
      0.480917540869954,
      0.292947582369559,
      0.376076452620659,
      0.442982974675347,
      0.443483300418963,
      0.393613471345341,
      0.482987680059567,
      0.28962551487827,
      0.42003191640727,
      0.320833859781567,
      0.2136859527385,
      0.343205355616384,
      0.246435505332755,
      0.390917902948378,
      0.426960625385485,
      0.189360206683404,
      0.236632851481171,
      0.0343695382320995,
      0.46065336504615,
      0.259679312489065,
      0.176718946011482,
      0.29458820774594,
      0.218750284253324,
      0.455209012840602,
      0.449617851407773,
      0.211166686363462,
      0.411126408841767,
      0.162203372166743,
      0.412070877857669,
      0.413555626512712,
      0.201258387573395,
      0.41226242538888,
      0.229335625175686,
      0.516598814862612,
      0.458790082654636,
      0.268492421935543,
      0.255940808429235,
      0.124770636405204,
      0.351539955713252,
      0.279980425180948,
      0.390141223429494,
      0.318431694615393,
      0.41235268532463,
      0.464577110844829,
      0.495129393427808,
      0.433994018902846,
      0.375125890125549,
      0.647161272981314,
      0.573426999067906,
      0.436299735527516,
      0.230353767551503,
      0.463462077015054,
      0.416977646054663,
      0.378704245566001,
      0.396599086570384,
      0.373157267307864,
      0.457210252912708,
      0.395739126313749,
      0.344982061331265,
      0.465166212642845,
      0.324537035254471,
      0.535223678142293,
      0.334209745742784,
      0.275132145926277,
      0.484000052899069,
      0.276166248178055,
      0.367618781671516,
      0.268678582567672,
      0.36106681433733,
      0.352973736379408,
      0.295835335305518,
      0.55276457076611,
      0.50905260525245,
      0.349901633855659,
      0.500470101569473,
      0.289293730374846,
      0.636673337759071,
      0.227990148603677,
      0.348910058566526,
      0.474872687356115,
      0.317417885122686,
      0.480221181061482,
      0.316704413499881,
      0.330607359776171,
      0.565194810278415,
      0.419290266755745,
      0.640077938518002,
      0.345421253402714,
      0.277583731992399,
      0.342050417202641,
      0.312713458782604,
      0.392093046342531,
      0.254139666159642,
      0.239234882358566,
      0.522517628193476,
      0.422803565667739,
      0.260709090661856,
      0.346187564005899,
      0.511090509048949,
      0.404649343859428,
      0.480171916915883,
      0.423642776970869,
      0.27085914998274,
      0.481853183602494,
      0.49396054580836,
      0.298622093468738,
      0.526190684133396,
      0.289803556554595,
      0.576166750126066,
      0.470242397704394,
      0.672757574607759,
      0.543982161153231,
      0.655988636693935,
      0.431939501180756,
      0.568993607135574,
      0.491101412752207,
      0.404235906791791,
      0.468840204331845,
      0.546936529772682,
      0.330235096677535,
      0.75029761735767,
      0.370844179538434,
      0.554165268091924,
      0.563097653608323,
      0.555592503530175,
      0.420713146653828,
      0.350829666627786,
      0.335076512858691,
      0.558961922612198,
      0.403950290577643,
      0.407682755130681,
      0.597837012300373,
      0.523509083162129,
      0.541574671990802,
      0.437579005837413,
      0.589064741664091,
      0.54415438900731,
      0.605660363807344,
      0.476255147359762,
      0.586043354999423,
      0.347101987407482,
      0.52157022466309,
      0.380195130647454,
      0.573538052653308,
      0.459800222795612,
      0.268703150913793,
      0.31937439419393,
      0.536885055356948,
      0.60735765942427,
      0.452050479482245,
      0.599443415807418,
      0.416366651888283,
      0.481490156844579,
      0.665985165925139,
      0.436321419030764,
      0.537286028153962,
      0.364379803497987,
      0.514485243725144,
      0.526642849930487,
      0.571033031976749,
      0.361223872905465,
      0.644441914265237,
      0.521657290502278,
      0.5646495171,
      0.681026077063846,
      0.431172822413995,
      0.467509247282863,
      0.488764707906605,
      0.561175026621294,
      0.383883369077883,
      0.38803711903834,
      0.397972850528243,
      0.535717250021231,
      0.404446390800138,
      0.390258761624782,
      0.330432582565789,
      0.43489545563402,
      0.494165986343159,
      0.500513193282308,
      0.589720529862421,
      0.359531246375498,
      0.393554031424336,
      0.567016397288434,
      0.571916817891387,
      0.457785348649022,
      0.375918290876985,
      0.547887719226814,
      0.533036278772949,
      0.563802364847433,
      0.459088805810358,
      0.353566566509411,
      0.654538314329487,
      0.419174029419517,
      0.47019733353635,
      0.430530455206604,
      0.453073066549719,
      0.490170023638755,
      0.60136895097887,
      0.460889593210068,
      0.42759851235147,
      0.286475573111709,
      0.350157233449436,
      0.459618045839253,
      0.551693237781044,
      0.455154615812256,
      0.606808233334185,
      0.293941918010549,
      0.333568776416706,
      0.316139248806888,
      0.376201023872931,
      0.285802014342949,
      0.272780420065553,
      0.574944485727319,
      0.378334918254546,
      0.447184186313723,
      0.531846568324065,
      0.32795133207854,
      0.434623384038136,
      0.411031819735386,
      0.43590411832101,
      0.395754190285745,
      0.558199247511631,
      0.458350704714724,
      0.591036633664787,
      0.418844258621541,
      0.573588366708106,
      0.643170466455857,
      0.399961757185011,
      0.375757794959073,
      0.188026095710764,
      0.534025598903764,
      0.454159819024979,
      0.514422641032726,
      0.486600551892646,
      0.480815481339652,
      0.503166020346786,
      0.452685132520688,
      0.482844690999012,
      0.639251218192217,
      0.504211605951582,
      0.535332581043569,
      0.456213782979663,
      0.471766127143458,
      0.581719731053228,
      0.468477021291459,
      0.610121443795211,
      0.517112043988168,
      0.354327549505559,
      0.496980157833035,
      0.398967370410652,
      0.441711271249244,
      0.451607352020425,
      0.461488957481832,
      0.383587296386868,
      0.451849380696409,
      0.489767053291397,
      0.437729074641632,
      0.529200778870584,
      0.601980231079756,
      0.483273578522588,
      0.434705301053383,
      0.514519620547886,
      0.468580178067491,
      0.55539671851848,
      0.572682861349314,
      0.528526621894811,
      0.50835381026759,
      0.553811742089419,
      0.425218108616649,
      0.387312779252104,
      0.64155596145306,
      0.464708272718084,
      0.491337051877358,
      0.490034435621719,
      0.394405285979128,
      0.423515462106859,
      0.347653839987486,
      0.373164675180523,
      0.405133038516232,
      0.512924592367981,
      0.553649707521156,
      0.405698890559017,
      0.495257948668351,
      0.475985822239603,
      0.547945504555015,
      0.459134664711784,
      0.71454975655432,
      0.456894084902459,
      0.530309320744603,
      0.551738268902268,
      0.443382667710553,
      0.433861029362923,
      0.487684720700093,
      0.570303805213972,
      0.47472371737254,
      0.388774446945581,
      0.433749691206907,
      0.458971970810646,
      0.496082104679048,
      0.466669987050554,
      0.450194888784445,
      0.379038723058219,
      0.477599314813841,
      0.471726696922517,
      0.440555206388222,
      0.623336994959215,
      0.505189085494317,
      0.506366924008487,
      0.557089402187586,
      0.473002266175174,
      0.442205533785323,
      0.487570312540097,
      0.409489184206467,
      0.554869650122734,
      0.366792575210777,
      0.315246385628563,
      0.419735697381347,
      0.467062892502654,
      0.558952248291663,
      0.438613858704328,
      0.32602194478157,
      0.40250072654688,
      0.322386608511287,
      0.494811784119458,
      0.340100170365562,
      0.330220605876794,
      0.354281995130376,
      0.374470517822382,
      0.3813767384832,
      0.358501679010894,
      0,
      0.306343845702079,
      0.182621731044797,
      0.4272325465125,
      0.062647188957379,
      0.233542245964761,
      0.136743074129529,
      0.389937513234509,
      0.423102350623396,
      0.041638719565116,
      0.349293167155207,
      0.319970834600561,
      0.321403087101842,
      0,
      0.191247946571362,
      0.340997454719686,
      0.337362246894784,
      0.305126710572505,
      0.321521387798032,
      0.128842627175471,
      0.140139605655274,
      0.00707929422661951,
      0.0981465009266066,
      0.0603746770938502,
      0.285559351868025,
      0.108749423127532,
      0.3590734779124,
      0.493880420247131,
      0.160495939580801,
      0.263796511402601,
      0.156291853735062,
      0.300342295439243,
      0.580241919786748,
      0.174769937156817,
      0.402549501487114,
      0.511683699105815,
      0,
      0.473375267600139,
      0.123952504064236,
      0.19469665436741,
      0,
      0.200251152507242,
      0.169358317316837,
      0.363853168981191,
      0.409234441444185,
      0.293690702419367,
      0.213038851214099,
      0.458011967328309,
      0.30175417064464,
      0.334513555741166,
      0.418346923079279,
      0.401631568114178,
      0.562334064938611,
      0.215473277986087,
      0.301685015737563,
      0.262720238017394,
      0.348404776426211,
      0.312514763132176,
      0.217736619169764,
      0.432659456215786,
      0.369805078741625,
      0.428455901170957,
      0.318071711524018,
      0.424490035961798,
      0.386089590871453,
      0.41496881684986,
      0.441198783958509,
      0.512634339112741,
      0.325212324561171,
      0.26847871720185,
      0.500294915663444,
      0.2958790887568,
      0.17204847963327,
      0.231356160781068,
      0.326991059230928,
      0.388111462079115,
      0.184510797838327,
      0.421321317165921,
      0.567523537343079,
      0.223526755230773,
      0.48877167947343,
      0.375011276234248,
      0.265348696579264,
      0.0346900610276364,
      0.271149575715817,
      0.44939228396909,
      0.48411444420979,
      0.310327687817828,
      0.629583727857048,
      0.219117281530833,
      0.487440860799896,
      0.638600701140581,
      0.391883053015746,
      0.42612501957907,
      0.23219017918623,
      0.405975404388546,
      0.258005943323028,
      0.478133351925136,
      0.275730177139232,
      0.27839538798868,
      0.467530086496481,
      0.191137942508902,
      0.233190112566751,
      0.0948812601329995,
      0.140168103841555,
      0.513997212802944,
      0.337654785914652,
      0.370298172799729,
      0.492440737222188,
      0.297301348037073,
      0.567378722300579,
      0.495540131918683,
      0.334203238441751,
      0.395590901039391,
      0.506971120587061,
      0.592061604540692,
      0.443847002362265,
      0.502128203733568,
      0.462160869174033,
      0.49399691725525,
      0.527933218696368,
      0.501679378387646,
      0.430055308764937,
      0.424185197782891,
      0.505012521201572,
      0.308202025112031,
      0.477345178992611,
      0.473208698952366,
      0.335797908766432,
      0.389471541645859,
      0.239082286125407,
      0.404045049465437,
      0.504156456882429,
      0.442648831214579,
      0.486528910865853,
      0.380317729223267,
      0.519742884312974,
      0.572302371640956,
      0.33652938898548,
      0.535081421540434,
      0.514937506929709,
      0.501812702156758,
      0.409767116768019,
      0.476314327686705,
      0.4375017679445,
      0.447511265832565,
      0.388300588869471,
      0.438923204146965,
      0.399640942061483,
      0.423861930998555,
      0.388530029955742,
      0.250810991695217,
      0.447381248099,
      0.606240281274541,
      0.507107368240776,
      0.305518331302429,
      0.304770014549157,
      0.526162843509705,
      0.532314360493292,
      0.541795513725013,
      0.49415502031936,
      0.427632299461437,
      0.4915060694432,
      0.399859099338763,
      0.458862901328678,
      0.374866427440432,
      0.378326946649324,
      0.475914296330979,
      0.446457679331577,
      0.427287767372011,
      0.472192775367669,
      0.349856268454903,
      0.307744181235353,
      0.436495863412626,
      0.431001634340193,
      0.265265869692857,
      0.527067398194356,
      0.56956787659676,
      0.590067986376865,
      0.368134525459251,
      0.216230888215398,
      0.318518060905138,
      0.375425883272735,
      0.419277276756319,
      0.432011691791594,
      0.199264972027983,
      0.265179977437514,
      0.0497863009540512,
      0.426606530349198,
      0.205769555470908,
      0.240238270635529,
      0.332498338323843,
      0.112812640855315,
      0.342331297835717,
      0.420753277662244,
      0.151986500512649,
      0.375048643162856,
      0.151453038577176,
      0.426059568191471,
      0.334109910833826,
      0.467371521717749,
      0.361707496168616,
      0.18499973616798,
      0.449906512604448,
      0.484999821005835,
      0.242457646902656,
      0.275178464151815,
      0.127950903889821,
      0.329657581964134,
      0.27399612308282,
      0.419290829241966,
      0.309657384562673,
      0.225877265713448,
      0.609893225180292,
      0.486704370707313,
      0.454062002668764,
      0.292322080188491,
      0.66461731454282,
      0.438512953871148,
      0.507754796500621,
      0.217092567392009,
      0.322359376765765,
      0.61629455898003,
      0.356821330060982,
      0.437939618058734,
      0.362194570804118,
      0.634581797307827,
      0.504328261512307,
      0.462175898219466,
      0.492417581945658,
      0.355174457718092,
      0.519594655384643,
      0.336220567212272,
      0.317292359356649,
      0.489910816771925,
      0.289582768067556,
      0.352406427056273,
      0.286637609415881,
      0.408144322341397,
      0.473225315079044,
      0.36588912298757,
      0.357219170258499,
      0.368384308347625,
      0.520929996553323,
      0.496926186959884,
      0.504661643017126,
      0.545256740984616,
      0.285810820855683,
      0.346213993506739,
      0.450454269916293,
      0.504930007450953,
      0.490766442186593,
      0.464915711551626,
      0.372921245618585,
      0.548296130565888,
      0.461523692847758,
      0.575806512101196,
      0.336067719194866,
      0.511534915760774,
      0.393568406448314,
      0.33406666572642,
      0.362696891687945,
      0.286750728856499,
      0.335576660617177,
      0.515156756115262,
      0.476135767312585,
      0.360114707857583,
      0.344468242536874,
      0.465865630291741,
      0.426386915058903,
      0.443692429886032,
      0.382673419150876,
      0.363526193395708,
      0.41050597035904,
      0.507458973228033,
      0.334200141470217,
      0.536652319155959,
      0.303903045509474,
      0.558910286263559,
      0.440023139129797,
      0.518824028637605,
      0.671028923767401,
      0.480033563704109,
      0.545569379853328,
      0.451500974795864,
      0.57085045485661,
      0.521827741463715,
      0.504640104952134,
      0.345281055322341,
      0.360310455371858,
      0.625445189388826,
      0.316552222816862,
      0.451171680004217,
      0.414696755506638,
      0.388668417256018,
      0.434164609164172,
      0.4190929431087,
      0.36350315209574,
      0.549717729195145,
      0.447877267841857,
      0.453185716316617,
      0.57657405018204,
      0.43046073266639,
      0.539686793672238,
      0.411372393818431,
      0.56401505500871,
      0.52891163666091,
      0.460365215311788,
      0.555732230354822,
      0.435050597508015,
      0.494692580114751,
      0.556924675801027,
      0.456433086930761,
      0.573995812682646,
      0.476492147334988,
      0.347367314436141,
      0.319854739973166,
      0.531869927560477,
      0.594624434042091,
      0.481588685716842,
      0.549806877843994,
      0.404244721894189,
      0.578882682108605,
      0.566401551946047,
      0.397483466389648,
      0.469760458248085,
      0.371624272698014,
      0.515683060854816,
      0.390916222275315,
      0.508148964515044,
      0.403947800534135,
      0.413549752336161,
      0.55169431771865,
      0.583730214935133,
      0.600267056547117,
      0.414362890952424,
      0.435563532801072,
      0.464649330992742,
      0.530728203693674,
      0.381809339509686,
      0.527304886544357,
      0.42446512654385,
      0.529688411872828,
      0.380693400899685,
      0.318982790520232,
      0.392459713494197,
      0.337676470104956,
      0.484715144539154,
      0.570619923440281,
      0.470045079138977,
      0.3745512990471,
      0.51061286682593,
      0.479654513169311,
      0.495907524805824,
      0.359002216011936,
      0.476739259243132,
      0.543510096674443,
      0.472279388519917,
      0.567542277288471,
      0.480787588085663,
      0.348124938460348,
      0.617896037257644,
      0.468772344232701,
      0.489148169901307,
      0.384978134814585,
      0.465262989587446,
      0.452434142012957,
      0.409538702069507,
      0.498629911544744,
      0.44467804486534,
      0.325551043926304,
      0.318393880310836,
      0.474103766569971,
      0.45021790536554,
      0.466452904742779,
      0.395260219243631,
      0.177826397934344,
      0.220441531853355,
      0.261968326893674,
      0.308245184668668,
      0.213562275165385,
      0.197800847634086,
      0.394977584742238,
      0.319778846672287,
      0.397540074670433,
      0.454069638057128,
      0.407560690817166,
      0.340485119589334,
      0.233754693073459,
      0.448047594368831,
      0.363692984215914,
      0.391068843845319,
      0.28947052594204,
      0.519487591005052,
      0.35968509467019,
      0.532267172748456,
      0.612416398205351,
      0.402793635322818,
      0.399194225510036,
      0.281594203612872,
      0.568093235496904,
      0.373380381582503,
      0.552596357604259,
      0.425332879378172,
      0.364094154140024,
      0.464063767703325,
      0.450877396295047,
      0.425550400492521,
      0.594538546103073,
      0.529086761580624,
      0.566532709111405,
      0.486014372537539,
      0.442074864640783,
      0.422109910172605,
      0.425679476982197,
      0.558502046984404,
      0.568808981708495,
      0.39872651343204,
      0.497322660777762,
      0.39360994459975,
      0.430250170603548,
      0.460442940114793,
      0.527214735422829,
      0.597821165016468,
      0.480263987521456,
      0.638401464679255,
      0.452852498922049,
      0.573858114167973,
      0.471543734660796,
      0.59542090642844,
      0.527488376485638,
      0.497478892296002,
      0.481769635283841,
      0.522843117782012,
      0.39229523184525,
      0.68068035983421,
      0.553571417628528,
      0.539714658780779,
      0.407873620659829,
      0.470923190346969,
      0.380364222085185,
      0.456129217127176,
      0.514122016116239,
      0.508279100070294,
      0.387664526311186,
      0.330744115945302,
      0.371982635723086,
      0.47651387045983,
      0.537593382910542,
      0.542858484964516,
      0.603871405805582,
      0.347232882993435,
      0.626595312298375,
      0.45880131569207,
      0.670203668489095,
      0.471600669758633,
      0.678135090387338,
      0.465957932031451,
      0.491043801572586,
      0.52340534700217,
      0.512176398289635,
      0.414330717465134,
      0.47214740293828,
      0.464765698945063,
      0.470634821055675,
      0.432071510715147,
      0.422552427202819,
      0.483365390114846,
      0.440169484420343,
      0.522100364461763,
      0.505911980754161,
      0.422059265421638,
      0.488560820250994,
      0.531681455844571,
      0.451994594802032,
      0.442476322940291,
      0.455761871301341,
      0.466160889684993,
      0.533680185377026,
      0.454082628394253,
      0.373079355175636,
      0.453765084550175,
      0.423127939711613,
      0.532527235661746,
      0.352019996407871,
      0.305817998621903,
      0.487070002165688,
      0.455124266562717,
      0.495334923561281,
      0.450264252845422,
      0.312617251338418,
      0.349561845564278,
      0.510195431226275,
      0.464499432392379,
      0.380209850888421,
      0.343376400166913,
      0.390375110508499,
      0.36389968627528,
      0.418531182948117,
      0.380844221213693,
      0,
      0.575721238808715,
      0.270738369182875,
      0.351387496621843,
      0.119816089981996,
      0.349223126360042,
      0.161212914410603,
      0.355098791490296,
      0.3527846918279,
      0.0843110943212426,
      0.351046717759876,
      0.32596805676665,
      0.309497549918673,
      0,
      0.202120111560759,
      0.300032209706399,
      0.337287026037426,
      0.287673766813183,
      0.356932073234838,
      0.189630258511674,
      0.135285987622308,
      0,
      0.0915100280047875,
      0.0867429101605585,
      0.275210963865581,
      0.0772009642816506,
      0.617821082504321,
      0.493385700840155,
      0.139530324805101,
      0.229889019679517,
      0.157329860327779,
      0.321481152165775,
      0.501267347499033,
      0.173339135112791,
      0.415717210823535,
      0.488353205825877,
      0,
      0.487537909248589,
      0.246874043615723,
      0.22992483108102,
      0,
      0.180964747436045,
      0.22333039256916,
      0.388257299072026,
      0.642476528055995,
      0.359335560028239,
      0.142583091126441,
      0.447990092665313,
      0.340364660623458,
      0.268806343401027,
      0.554261878437515,
      0.355248220820522,
      0.612810360915399,
      0.23136877513192,
      0.345923751069523,
      0.294650393838228,
      0.294156135630587,
      0.356697862926785,
      0.223948907087381,
      0.409953994404863,
      0.350197499765903,
      0.462083501795594,
      0.326476726249484,
      0.440722483660904,
      0.569584649352817,
      0.462211034924404,
      0.483598849655569,
      0.361067528316868,
      0.352318221866852,
      0.211919799453647,
      0.48565719506347,
      0.257716166846992,
      0.171495463200184,
      0.166542825491597,
      0.290733874620034,
      0.404739649852131,
      0.242795077198198,
      0.702314028678513,
      0.602707374941105,
      0.195585605941631,
      0.507260796598162,
      0.361762728066847,
      0.276714398471454,
      0,
      0.239273597164201,
      0.419533147235079,
      0.341834687472318,
      0.317575288684359,
      0.384861777250993,
      0.206691620832552,
      0.533507877815822,
      0.447622081408566,
      0.452682142345029,
      0.485286317207189,
      0.284137990400137,
      0.390887630894501,
      0.235728294402832,
      0.516358820720828,
      0.360467653047985,
      0.269768235271503,
      0.529729443023402,
      0.167328699479616,
      0.225430975904462,
      0.123543715492935,
      0.147154117831554,
      0.556769753541694,
      0.570605984496761,
      0.355763025968934,
      0.414904230109834,
      0.227363840362633,
      0.59960692619504,
      0.578539573500534,
      0.49762926876059,
      0.29902544097459,
      0.36379588987724,
      0.528818939482338,
      0.448981329739638,
      0.43976242738651,
      0.527334240796446,
      0.487882878604383,
      0.560209359929042,
      0.521499703026906,
      0.517692418518801,
      0.411243929772776,
      0.459739751076865,
      0.405132196732536,
      0.344150642484548,
      0.533196078134148,
      0.29729906807814,
      0.332340308346336,
      0.221169277029502,
      0.386919774162256,
      0.520563885371138,
      0.424760344355446,
      0.566076488425606,
      0.388382011863707,
      0.515424054331475,
      0.497263510493501,
      0.287810203837775,
      0.504378552089609,
      0.669877926925852,
      0.463304730144874,
      0.305004585274189,
      0.503800724757765,
      0.496814564407866,
      0.6023618834275,
      0.350305239876691,
      0.498822689816292,
      0.486906351922635,
      0.409260098813321,
      0.35925144438616,
      0.225728324644029,
      0.458462170498164,
      0.573445334313823,
      0.465711500320768,
      0.4576590925239,
      0.311194878721255,
      0.536302694055443,
      0.58328823445855,
      0.533840543580009,
      0.622067710455127,
      0.633340017394663,
      0.417727105542548,
      0.379730669622878,
      0.40002366358216,
      0.5510114555608,
      0.338848286250312,
      0.511914422817687,
      0.469038221065876,
      0.410770438473818,
      0.43177532405713,
      0.453228148713065,
      0.319198383381975,
      0.609539892022158,
      0.621728028374617,
      0.432267327189298,
      0.322927383280389,
      0.619971220696296,
      0.607053723715559,
      0.560816417339551,
      0.577167681979863,
      0.427170176978007,
      0.48354575142851,
      0.583107577906496,
      0.417867642298598,
      0.195856688715167,
      0.295778310917742,
      0.0825213880884388,
      0.44956262535256,
      0.226346217707073,
      0.472331204158531,
      0.311021352491777,
      0.0929585416172372,
      0.5825845638512,
      0.6174883634191,
      0.204841508402221,
      0.403809460216366,
      0.107375917303378,
      0.436860514088539,
      0.347556932946393,
      0.569042505231698,
      0.3796059997039,
      0.205741370011028,
      0.421476468574625,
      0.50386076108544,
      0.221809863911888,
      0.348610404576878,
      0.128483062164618,
      0.359375713854413,
      0.310887053837183,
      0.397736638691296,
      0.346974177029176,
      0.346893381233289,
      0.548502190765523,
      0.611785160648601,
      0.24293351205585,
      0.428857475758177,
      0.501239714316265,
      0.307496246819354,
      0.61492491508825,
      0.185403145900446,
      0.325006369461063,
      0.620754846693214,
      0.408993399103934,
      0.445773703907969,
      0.606964705025475,
      0.576355749914943,
      0.503015218749053,
      0.607438218004506,
      0.484269091929362,
      0.506817204782941,
      0.339292632019416,
      0.337633150921763,
      0.288540110304086,
      0.485707430129824,
      0.246319297313298,
      0.291328137590896,
      0.296171352239766,
      0.386182635707753,
      0.370597085050729,
      0.278793214874705,
      0.346028526792029,
      0.33692978395666,
      0.650592018985311,
      0.496461163444698,
      0.542108667068949,
      0.316695768978953,
      0.404089778567001,
      0.305859221851371,
      0.696065009394075,
      0.536813152917712,
      0.52872091146079,
      0.386808910032174,
      0.353055038104762,
      0.536585969376013,
      0.349901500938544,
      0.317095710643413,
      0.342288894534789,
      0.549988580025072,
      0.586073988011359,
      0.259598258421663,
      0.315533161975247,
      0.317714939595299,
      0.249674080731015,
      0.522594373919016,
      0.392045091781724,
      0.292110365525626,
      0.310501414292021,
      0.231404304213714,
      0.575124680758588,
      0.394075988064198,
      0.454929900362714,
      0.350764986397945,
      0.50124690992675,
      0.532100763320298,
      0.336251111672832,
      0.568953607662347,
      0.312734687379291,
      0.629380166735268,
      0.45465526370921,
      0.506877438896833,
      0.565652759981753,
      0.442368988984097,
      0.53246127618576,
      0.503222555964837,
      0.572892517272634,
      0.713964375926736,
      0.457422890747691,
      0.284160546960334,
      0.301607126351067,
      0.411659815178475,
      0.331238590721401,
      0.344352324170481,
      0.360252293052332,
      0.264055979176677,
      0.439657748965571,
      0.415229163163101,
      0.364731395625464,
      0.500717820144697,
      0.386146521701776,
      0.460182990756036,
      0.610221602312043,
      0.480190702827481,
      0.52951857742541,
      0.507477900235696,
      0.559532814531139,
      0.527545144955323,
      0.354977682221611,
      0.438472647157882,
      0.337397690732812,
      0.634359465371303,
      0.591423294802385,
      0.450825217904888,
      0.600932775012888,
      0.363268853017028,
      0.270434081533819,
      0.280564661695408,
      0.693207181028964,
      0.551210069959776,
      0.42377308844349,
      0.557102066274531,
      0.396962915802053,
      0.561784074259047,
      0.484268182752264,
      0.428652561805292,
      0.408103421196503,
      0.323921858539702,
      0.388255752194508,
      0.409516542433026,
      0.40789108225539,
      0.383799929905079,
      0.52554329387049,
      0.602681986765919,
      0.50219521112824,
      0.460084942981977,
      0.45767021328605,
      0.406849370329541,
      0.496973756254995,
      0.624105454728464,
      0.382972236538246,
      0.590125005226261,
      0.332208595534408,
      0.441116567386156,
      0.303691872751266,
      0.432616082279621,
      0.395171331325995,
      0.323097638494101,
      0.31311460006455,
      0.579500250450231,
      0.524468987948379,
      0.40317056969814,
      0.513116853585761,
      0.408261071038497,
      0.447121902486642,
      0.529739558685591,
      0.460976660979475,
      0.388244790325625,
      0.742979912654798,
      0.535807977195947,
      0.543690663593627,
      0.35261693870438,
      0.553379567340008,
      0.481606631850984,
      0.430188516641319,
      0.343040951049191,
      0.484950769662713,
      0.482875222039178,
      0.455121450004798,
      0.520235370040162,
      0.479659577374579,
      0.327246191064405,
      0.340338770429101,
      0.479180785648231,
      0.500616432697293,
      0.46746475427547,
      0.458270770319326,
      0.268928410074162,
      0.188162881223401,
      0.251506906112039,
      0.335520764118841,
      0.23316408955356,
      0.187256616410203,
      0.358037609448234,
      0.163020657528102,
      0.366574661391812,
      0.504666643915315,
      0.388000985786833,
      0.369965516935406,
      0.462081083872396,
      0.396179465802002,
      0.438389788197503,
      0.446511837351746,
      0.387148104133352,
      0.363255626830932,
      0.354737470635574,
      0.552761932910298,
      0.454120981903964,
      0.3932079245679,
      0.349208786878254,
      0.302846757191344,
      0.566166443621032,
      0.553387711236381,
      0.532260075042572,
      0.358747841666711,
      0.367675334721784,
      0.43451578074912,
      0.479832576024956,
      0.481800108735129,
      0.467033887701178,
      0.437373586154972,
      0.54705644194079,
      0.586557807173312,
      0.443408424777314,
      0.496955312903502,
      0.417336386176695,
      0.494087152120455,
      0.560191291080463,
      0.402007745610401,
      0.432383239369163,
      0.329963535741199,
      0.377987728988755,
      0.486559015907272,
      0.496530292919908,
      0.647544245353068,
      0.442782528077998,
      0.63365313119582,
      0.50818694301959,
      0.447591487042138,
      0.453939893561222,
      0.468008147267647,
      0.473373291013428,
      0.504224943018262,
      0.458313676942304,
      0.555250492797092,
      0.451203518610874,
      0.54384733225805,
      0.568477049669706,
      0.420001764174431,
      0.392488228426799,
      0.570141795577638,
      0.33135353830497,
      0.467984217025186,
      0.552052096954533,
      0.484410358053004,
      0.478739761596878,
      0.308415471517222,
      0.373283118648183,
      0.393817791161449,
      0.526360175466679,
      0.439346228475376,
      0.385548017400385,
      0.353970906056195,
      0.582827045742921,
      0.463732453679803,
      0.564977245337416,
      0.481952554037168,
      0.349088382856635,
      0.516980390675096,
      0.548686490044052,
      0.472433546513029,
      0.50003501194148,
      0.376287586215705,
      0.519666005191511,
      0.534273215401446,
      0.441403835709368,
      0.584297392767954,
      0.436041610780752,
      0.516651115691592,
      0.552228697429016,
      0.600852767236244,
      0.589349241281715,
      0.413609695093359,
      0.5360385651555,
      0.548071215654343,
      0.493751717170874,
      0.453497494890199,
      0.390811610171691,
      0.39796881220798,
      0.59499397119878,
      0.530916139819587,
      0.523831575302243,
      0.556442847694801,
      0.570520164159469,
      0.618015836378129,
      0.552837089114058,
      0.489928624790695,
      0.579054063691727,
      0.347468350467597,
      0.579432165144966,
      0.542132189724998,
      0.357484163798645,
      0.546402339272067,
      0.465378443599228,
      0.511497738558959,
      0.32474933322679,
      0.329513707891672,
      0.4785981550431,
      0.458720141676038,
      0.408521400646735,
      0.452731587162315,
      0,
      0.552805300099996,
      0.290639203644171,
      0.438052147505043,
      0.109547021742074,
      0.379663942776619,
      0.139251271285043,
      0.430735656809758,
      0.326353887260156,
      0.0481491165654785,
      0.275081842846756,
      0.370816889596052,
      0.227364840372879,
      0,
      0.197805831585297,
      0.211525519886611,
      0.273691226924902,
      0.296319550067953,
      0.357934112377803,
      0.219625830860532,
      0.086960584824188,
      0,
      0.102842495090381,
      0.144082932222945,
      0.259995218849386,
      0.0914344693488116,
      0.510443304146793,
      0.343011531818158,
      0.13928246296492,
      0.201367637922772,
      0.222645104472446,
      0.282268167642319,
      0.448881146657543,
      0.204396102979465,
      0.331078504085562,
      0.27163234193883,
      0,
      0.404932516793665,
      0.266725721022396,
      0.234253534819698,
      0,
      0.194556605183862,
      0.245647288928571,
      0.248142397403472,
      0.606857996495924,
      0.336174278383987,
      0.0923215017157757,
      0.398031759847978,
      0.334711108535491,
      0.300611714697641,
      0.44415885435763,
      0.37909004020131,
      0.559879878696936,
      0.23952580033572,
      0.297298183992661,
      0.307000069289058,
      0.309723364592561,
      0.361688158477169,
      0.220730572868624,
      0.415525612327573,
      0.354883851865197,
      0.468651088570334,
      0.331578907396954,
      0.446030862206918,
      0.558216080131292,
      0.497112458900564,
      0.50782239262614,
      0.627540842797802,
      0.480461519118635,
      0.340567704882445,
      0.495519599662504,
      0.301596973179485,
      0.270983136565629,
      0.278242861780463,
      0.357446948866798,
      0.400873242627742,
      0.269601195642192,
      0.675137005552622,
      0.346622723194718,
      0.152816532969873,
      0.477928625777938,
      0.357518385428001,
      0.29962496789219,
      0,
      0.241414655959921,
      0.418646038301361,
      0.404082975802188,
      0.387485770150746,
      0.391116789047341,
      0.242447093622278,
      0.505460761112679,
      0.554515474092713,
      0.35103442283045,
      0.416906465335293,
      0.460178313874333,
      0.386456729467172,
      0.260655440432229,
      0.445947774745317,
      0.398000807032591,
      0.241128402549927,
      0.527575294651234,
      0.207354474585202,
      0.222856306591212,
      0.104200819712562,
      0.146967290683733,
      0.478408956573477,
      0.574099263812248,
      0.365082816861979,
      0.501686333784147,
      0.444000230544968,
      0.589536461284897,
      0.564035726829889,
      0.595171193431716,
      0.337467711442059,
      0.540201825813687,
      0.581234587043224,
      0.46274762628444,
      0.471930805840811,
      0.523545741551901,
      0.508794983712208,
      0.508889596600355,
      0.503172711758084,
      0.547874836662469,
      0.382218827472156,
      0.546146267933485,
      0.353263110134248,
      0.339278858896988,
      0.534403094948389,
      0.300822186783948,
      0.356730272337816,
      0.198249555936492,
      0.390816086259348,
      0.469328584028973,
      0.574112867973686,
      0.539479656539707,
      0.43288706541017,
      0.561666367517081,
      0.594361792781595,
      0.482353861297467,
      0.586343197010981,
      0.596139944460227,
      0.451310672797474,
      0.550172786850641,
      0.691755463052448,
      0.455397685465339,
      0.459018972355741,
      0.360067412458288,
      0.479405292414015,
      0.46168824912505,
      0.387569705514474,
      0.36796602180833,
      0.265150797248803,
      0.506658215318063,
      0.508218787121341,
      0.509392603131504,
      0.418209778816907,
      0.251550060957953,
      0.496409476901052,
      0.60971609832585,
      0.538883245076662,
      0.546923433140186,
      0.644571136715652,
      0.349441565762542,
      0.46264380423184,
      0.431853322608001,
      0.599999763710188,
      0.406637820033534,
      0.415704683668547,
      0.494234765139029,
      0.390128495554877,
      0.445219492036107,
      0.358286770657472,
      0.402805612013206,
      0.56948461962244,
      0.613082034888793,
      0.423858698753295,
      0.325882718033453,
      0.340967742899071,
      0.425862812492009,
      0.549212703285809,
      0.534904462117512,
      0.335186910364532,
      0.497016928622549,
      0.519925114305598,
      0.421486449158607,
      0.212287396944624,
      0.310117770851713,
      0.052945617832052,
      0.44801432568713,
      0.236610804107633,
      0.362829856983228,
      0.324739992636017,
      0.1731563356637,
      0.548668128065297,
      0.523953176315703,
      0.215715519425155,
      0.355053011581918,
      0.134054078197265,
      0.401009914523457,
      0.376834972506188,
      0.258102853423256,
      0.414011127917156,
      0.190057437594942,
      0.456284669356647,
      0.478353168420346,
      0.279978767895122,
      0.325413801195595,
      0.13168508443879,
      0.383940369061185,
      0.31182746597811,
      0.367415438189342,
      0.307342974360564,
      0.267506698789863,
      0.369611431131454,
      0.538284181059815,
      0.251536115372851,
      0.485888550424819,
      0.387346533838746,
      0.273042877306396,
      0.518918989479551,
      0.222498108416148,
      0.36806345199808,
      0.53857857881345,
      0.650903524396031,
      0.454527979820388,
      0.532923387014251,
      0.436057812882911,
      0.407186801325195,
      0.485055366463144,
      0.490705227426078,
      0.526449920955072,
      0.329714949572113,
      0.358445147219035,
      0.250456835616583,
      0.510412763364351,
      0.288109130354821,
      0.306158375181199,
      0.288441071839223,
      0.394149019977479,
      0.471917360016284,
      0.328081457497045,
      0.592169927984582,
      0.51911450086107,
      0.475981151489091,
      0.467612839830158,
      0.304150380372077,
      0.342378745643819,
      0.361190606812376,
      0.270833771914205,
      0.677923744376938,
      0.366400444118556,
      0.523458518699824,
      0.285009940930468,
      0.33597691379113,
      0.535549427801915,
      0.381112210842774,
      0.268504454069931,
      0.354241063711104,
      0.251531715091244,
      0.587259711628927,
      0.299594923780088,
      0.282055416240629,
      0.307933919066002,
      0.208476748530897,
      0.516019876242158,
      0.392395538100077,
      0.253410968697431,
      0.360379610007455,
      0.255842440990746,
      0.581516776258771,
      0.447987264791695,
      0.447170718858938,
      0.301426816599381,
      0.502280801132134,
      0.495009155338849,
      0.275978647998969,
      0.543255171951221,
      0.340809523261489,
      0.588045889618509,
      0.448456082011261,
      0.666664222983152,
      0.496207338488304,
      0.661638006811228,
      0.405351021612108,
      0.63046284570791,
      0.615670313305644,
      0.646092085419418,
      0.509732115023695,
      0.488565529217053,
      0.251996401512858,
      0.501543829580975,
      0.337132322434224,
      0.500558736550144,
      0.567545758251714,
      0.499462825639564,
      0.448957742675822,
      0.402570098333822,
      0.295148674027744,
      0.525605234821271,
      0.442595868242341,
      0.405021485468516,
      0.601342680890917,
      0.56185178180486,
      0.537311116301547,
      0.596464555845344,
      0.512556727810919,
      0.567123520764755,
      0.404687939610247,
      0.355093652702814,
      0.370790004144606,
      0.509847106881327,
      0.578558921011464,
      0.346017737864041,
      0.594731214259409,
      0.445586506325114,
      0.261191309983818,
      0.279308175248702,
      0.729903931295339,
      0.606848809313672,
      0.466651525438597,
      0.543378474108073,
      0.387959493979339,
      0.457808120612435,
      0.606470609614806,
      0.445992490380274,
      0.577943810826146,
      0.320798072654479,
      0.430809444528693,
      0.536703497001943,
      0.529475449002334,
      0.414530482249009,
      0.69740438288188,
      0.618355030035692,
      0.4854112563133,
      0.613472214627612,
      0.434995554365516,
      0.431447128842348,
      0.485618053423896,
      0.651147037665077,
      0.37450572054878,
      0.396911108254115,
      0.331665448457462,
      0.416336951998332,
      0.337135248753036,
      0.423525606686836,
      0.456845167361155,
      0.304464755094807,
      0.365377801202041,
      0.512749998745809,
      0.483038975240863,
      0.482947074857941,
      0.467046098687345,
      0.633361588150921,
      0.482678306259019,
      0.544390453093304,
      0.478218129051453,
      0.374416793961133,
      0.725271546666572,
      0.595786698749099,
      0.511778305019485,
      0.38129387126835,
      0.582932414841229,
      0.44320129727333,
      0.389809671523744,
      0.334202931592986,
      0.496183246548239,
      0.495373372870201,
      0.674829043708497,
      0.500788805790443,
      0.473036636505007,
      0.358520537898531,
      0.345805496602616,
      0.487471103111313,
      0.49324737032328,
      0.492721243412235,
      0.500778150561376,
      0.265923909941763,
      0.189426658604004,
      0.24309864641551,
      0.322398421252461,
      0.234890000554959,
      0.260534701116689,
      0.584688037414437,
      0.204456926490336,
      0.43618715673373,
      0.501142157205827,
      0.343080578687691,
      0.410332616082461,
      0.522157089894832,
      0.351045710400658,
      0.414562382554036,
      0.364973269163905,
      0.37290673958536,
      0.480006347300741,
      0.426155726198353,
      0.546314799580514,
      0.548226400840675,
      0.368483106836817,
      0.484473819460204,
      0.235712002874427,
      0.528625750668437,
      0.407827327410536,
      0.570757776269706,
      0.428286799246535,
      0.419134075961199,
      0.43479529139107,
      0.446936793795864,
      0.489523672468588,
      0.666108782161763,
      0.464352524922813,
      0.542251211646606,
      0.585149833430289,
      0.562818829824322,
      0.48145052459117,
      0.434456820226239,
      0.534760038317723,
      0.529538600193425,
      0.376004262004466,
      0.495898930737329,
      0.316154248831007,
      0.45727450046412,
      0.437430959575851,
      0.426385495524002,
      0.533202002120855,
      0.547528687412201,
      0.554817058155528,
      0.474418043768766,
      0.423827116872745,
      0.611225647283684,
      0.42582606071763,
      0.369547910789076,
      0.492444423068177,
      0.451595439522427,
      0.488282475306714,
      0.556887576855627,
      0.385366663516986,
      0.553049037348171,
      0.510674830741276,
      0.431450786564495,
      0.437177918496453,
      0.646507450970035,
      0.482361267536703,
      0.541082817064652,
      0.53394826377758,
      0.371331909297351,
      0.375380438727909,
      0.374150148029397,
      0.398996218345204,
      0.446004272480504,
      0.445149508256346,
      0.532572843099625,
      0.338918147435526,
      0.508313454571576,
      0.51007029946747,
      0.49230531498181,
      0.493355547480649,
      0.359942322109704,
      0.527637862739304,
      0.592042202891502,
      0.474622011871004,
      0.347659725045927,
      0.393917897787527,
      0.489705486128428,
      0.580749968261351,
      0.45028599384978,
      0.508928322857123,
      0.499718528059143,
      0.580878946760076,
      0.628494258699804,
      0.638895103779967,
      0.613887330426204,
      0.403301034037238,
      0.508716640454157,
      0.547158450036219,
      0.522002007724076,
      0.680732535858416,
      0.482470531416796,
      0.370918516921556,
      0.646486313689575,
      0.638045562198623,
      0.508092666180052,
      0.590316487473768,
      0.588213138909549,
      0.638567786079957,
      0.595127671106713,
      0.562836954901188,
      0.549490733153744,
      0.518912493794484,
      0.55691310443376,
      0.519961348633205,
      0.321874886658825,
      0.640680108830458,
      0.392596655498645,
      0.481600244055433,
      0.293543291280402,
      0.309264338881344,
      0.517621069995224,
      0.457574372536609,
      0.356163919754139,
      0.443437212880973,
      0,
      0.455942053477917,
      0.221369202530256,
      0.400020657097737,
      0.129336282036722,
      0.357317957490192,
      0.259115164559576,
      0.404908404458742,
      0.382340712118461,
      0.0164767735923471,
      0.285970979535468,
      0.260277146066138,
      0.236883499739293,
      0,
      0.12878462053894,
      0.229923611962432,
      0.290935343859445,
      0.361515222138662,
      0.318768533425763,
      0.0928098391016803,
      0.0943872159463829,
      0.0374193566825693,
      0.185679277646088,
      0.133869771917863,
      0.32450444915755,
      0.17910382777633,
      0.354121059898855,
      0.468866563342519,
      0.156267182020856,
      0.268230552017343,
      0.228029312362639,
      0.274673749417619,
      0.581649059156726,
      0.178564565104181,
      0.248476493622582,
      0.36824677790218,
      0,
      0.509563716839796,
      0.209544266028456,
      0.192181658117508,
      0,
      0.180922076548844,
      0.217675476831801,
      0.318327201682944,
      0.426993593990545,
      0.280013747433575,
      0.0833719695589411,
      0.412332316063756,
      0.285864407596933,
      0.289373910476828,
      0.471952855589084,
      0.385579170707754,
      0.553578959576916,
      0.224522838432162,
      0.322808802480377,
      0.300352306400242,
      0.293487859868988,
      0.380365671084328,
      0.207257508422502,
      0.440887724941121,
      0.358716411147249,
      0.470922580678943,
      0.353421156025341,
      0.485024947705527,
      0.453485904878602,
      0.45549679501857,
      0.520957544636343,
      0.677219962342498,
      0.551784861784204,
      0.441621707156365,
      0.477383822777903,
      0.309795458763142,
      0.199737182408466,
      0.369154721953905,
      0.379208708914038,
      0.355787174815153,
      0.222626233273451,
      0.380618935700345,
      0.424135594659808,
      0.170536570020222,
      0.465120603564616,
      0.476708303082186,
      0.29340155573073,
      0.0030514940524328,
      0.253117829775343,
      0.453211398462341,
      0.618176989540932,
      0.369160880964398,
      0.634557884610546,
      0.229015794322122,
      0.490736029381572,
      0.678372471229644,
      0.346396405708269,
      0.29464829428451,
      0.542829612838682,
      0.342926182133903,
      0.195206559617886,
      0.374626583921599,
      0.424748017407926,
      0.180810052225067,
      0.480383651711891,
      0.193589736508933,
      0.254897209737772,
      0.102805424099153,
      0.11143669103159,
      0.583920944591139,
      0.32844621045566,
      0.338444623395184,
      0.411957556879718,
      0.503725348781848,
      0.529550755446109,
      0.533386037838246,
      0.420044523675496,
      0.385636503328927,
      0.542458071852931,
      0.576451720170628,
      0.531952605813154,
      0.489079741291154,
      0.437395050133502,
      0.500809257718322,
      0.456751290537847,
      0.535873577489426,
      0.467412291388539,
      0.322164978865668,
      0.54392004744773,
      0.289359643657634,
      0.335901147972858,
      0.428887699547257,
      0.327036694710266,
      0.373372082442215,
      0.186366726257942,
      0.380932581531572,
      0.429545881195601,
      0.537755180344668,
      0.428834248761308,
      0.563805235986511,
      0.580203060276486,
      0.619225256028133,
      0.446199921681312,
      0.538332041422442,
      0.555193884968669,
      0.372106898018795,
      0.53593687654894,
      0.700222514993493,
      0.520729752444261,
      0.592805821126305,
      0.352548901069439,
      0.416921280539209,
      0.390450251857169,
      0.371062925566804,
      0.443932879460679,
      0.279944038522251,
      0.435605277864396,
      0.545851019402111,
      0.507840864729544,
      0.379699800828704,
      0.22119381192232,
      0.520498879248178,
      0.567097272465217,
      0.621345455066318,
      0.420440835316617,
      0.442762697466037,
      0.311913824713943,
      0.452933227011716,
      0.561990380434794,
      0.36456166345087,
      0.381272640342274,
      0.478450917617878,
      0.493981884401768,
      0.381915419023146,
      0.481588013588993,
      0.318024320554049,
      0.371359644025457,
      0.404520686300016,
      0.434903934123485,
      0.325898920155597,
      0.310091372533109,
      0.319369433773401,
      0.421720904751809,
      0.385274562222357,
      0.215271206569144,
      0.350208718102551,
      0.360434796127605,
      0.363802862598694,
      0.461996149472629,
      0.207766714775622,
      0.377386585282857,
      0.0974682067424354,
      0.434922379862325,
      0.241855357150847,
      0.246590129023859,
      0.326745736409235,
      0.191851744131518,
      0.35334126303095,
      0.398466426109761,
      0.248794543322163,
      0.40086377644137,
      0.141815762198645,
      0.477603878703159,
      0.356997410094559,
      0.191686334995156,
      0.389686195390838,
      0.203347311303649,
      0.448494409245065,
      0.471876913696916,
      0.238533760964831,
      0.293550530257977,
      0.210891556839903,
      0.372346842945014,
      0.241748896689954,
      0.339554237308528,
      0.277635656963373,
      0.357979254427472,
      0.398196681565884,
      0.512847530052467,
      0.456272165380744,
      0.344237022767883,
      0.372041969898735,
      0.300877502807331,
      0.377710086827513,
      0.214153802187915,
      0.314163135557593,
      0.44090742948424,
      0.644634952877912,
      0.397935377086088,
      0.354813753235571,
      0.405638818405736,
      0.404639892737128,
      0.336971546095365,
      0.468994727797585,
      0.344422715932815,
      0.527726696291125,
      0.355962270167079,
      0.236966471024806,
      0.494532886027395,
      0.273442523029329,
      0.349717825839918,
      0.263285954137889,
      0.399296261096202,
      0.466363080371843,
      0.295600209358715,
      0.501847284553482,
      0.486769831071612,
      0.303368809403487,
      0.453419141451597,
      0.293588884300143,
      0.347166851704038,
      0.265889207884321,
      0.289056354423242,
      0.477432824598179,
      0.341316185633473,
      0.400192248543433,
      0.31903538891606,
      0.309077387627443,
      0.500235485943379,
      0.371177408789901,
      0.310223933511908,
      0.325611849804988,
      0.208063234219561,
      0.362131969512786,
      0.25685854379365,
      0.383505588492168,
      0.300336471810218,
      0.155167097712381,
      0.508811201067928,
      0.384312351434183,
      0.254093272088204,
      0.379399192934537,
      0.505982025561553,
      0.36646876249774,
      0.446845835778116,
      0.288572231146743,
      0.311184942249097,
      0.417904566006685,
      0.485871432851316,
      0.314086024936886,
      0.465985033546793,
      0.333300827446003,
      0.585349864882175,
      0.433178077930894,
      0.713769893760876,
      0.726707594338605,
      0.797286961230072,
      0.572829945542755,
      0.554569614227522,
      0.665614529900523,
      0.49294807125964,
      0.512421735456569,
      0.492578481156808,
      0.274685018531593,
      0.483185999914084,
      0.384574491260889,
      0.661621143385937,
      0.52736628127026,
      0.442199942907212,
      0.424860188020471,
      0.432225157046467,
      0.366805441963911,
      0.498378309992301,
      0.413729619980921,
      0.369795489654135,
      0.524246703277072,
      0.499565625109854,
      0.577240638080198,
      0.515119895055005,
      0.490960271981246,
      0.601647196049193,
      0.527505156372204,
      0.521238600990293,
      0.40668595936301,
      0.355262553298536,
      0.544092611322634,
      0.393929504259268,
      0.548687677388689,
      0.559207828327282,
      0.264772237333661,
      0.267881626422594,
      0.600235630875631,
      0.670537644256858,
      0.543102307416846,
      0.475628168910184,
      0.390017375753095,
      0.511121510853981,
      0.530240351297819,
      0.476844887115695,
      0.544503869256447,
      0.353891553000517,
      0.615828849122687,
      0.423155758968994,
      0.54016766466796,
      0.392155431831863,
      0.663249161147688,
      0.602203067741611,
      0.570039494664738,
      0.664368527632993,
      0.392603258871375,
      0.624715234347897,
      0.437719865878661,
      0.511269143638749,
      0.358500619189325,
      0.420794745996944,
      0.306111336798281,
      0.421290096058783,
      0.362274958412853,
      0.280720699455189,
      0.359388753164396,
      0.316704106861352,
      0.298155945555324,
      0.587764111315305,
      0.479633753955552,
      0.506485678836161,
      0.535938021896051,
      0.608025659683783,
      0.479713758927254,
      0.40324449618816,
      0.523463962802637,
      0.450660728936269,
      0.449943921592269,
      0.536889253591536,
      0.527044603023318,
      0.354682779756708,
      0.552533054570715,
      0.395093170448764,
      0.381636184117253,
      0.381667990591373,
      0.502922114191051,
      0.447815036467109,
      0.544964928984679,
      0.500463942120318,
      0.435843829589099,
      0.312840947818679,
      0.314362990171026,
      0.496971257435338,
      0.515226218882354,
      0.386106206559485,
      0.352902449898565,
      0.22394731556206,
      0.218728358655342,
      0.168714773095914,
      0.290457408196902,
      0.243422213559696,
      0.213206889204374,
      0.511769975176467,
      0.175045753783795,
      0.440623435529186,
      0.415647135694662,
      0.275504943560784,
      0.321150737418695,
      0.264020321440653,
      0.353483852493062,
      0.377620009616914,
      0.437480944523943,
      0.283557589100572,
      0.311418150712301,
      0.344439805617645,
      0.469523132996199,
      0.682191673603387,
      0.318947993658291,
      0.471912416607839,
      0.226691017003741,
      0.539751485465251,
      0.490858295089819,
      0.600016238920853,
      0.350945633970986,
      0.346938035793428,
      0.433472896972785,
      0.408545709930894,
      0.438288004764502,
      0.661890203366863,
      0.460718484347778,
      0.566427856908797,
      0.5701230050289,
      0.538790199664052,
      0.447498451198201,
      0.425419710073714,
      0.55013290448396,
      0.554201004315772,
      0.325522175292084,
      0.520457450033107,
      0.307607546563581,
      0.437438815049214,
      0.445306134974543,
      0.453662059457704,
      0.390993787837641,
      0.493355334947747,
      0.565167141246265,
      0.457526411278696,
      0.432806129036684,
      0.579647510000069,
      0.485986597188379,
      0.443839706595363,
      0.509892101024212,
      0.485096509532871,
      0.451858823813311,
      0.54953057645809,
      0.57393269938491,
      0.545732222728307,
      0.549446554139295,
      0.398219586220281,
      0.400313684513983,
      0.596923968249513,
      0.498546086757929,
      0.477167980940119,
      0.40383760444867,
      0.354240843335883,
      0.312097485393161,
      0.381722211420943,
      0.36545683845896,
      0.47477463763214,
      0.399156395869167,
      0.455001809214351,
      0.301356175025864,
      0.585050847065137,
      0.509916968873276,
      0.460857973138422,
      0.505548521964961,
      0.539020960544937,
      0.482135398074867,
      0.574116556898102,
      0.593960896956414,
      0.345994109239941,
      0.383306735789815,
      0.474951768351833,
      0.566578296398262,
      0.438678507549212,
      0.510251851923453,
      0.433142089229963,
      0.397248377921016,
      0.442936468607634,
      0.525340277487437,
      0.5052247043408,
      0.383156919348327,
      0.492331095884207,
      0.509713787369083,
      0.515901715173794,
      0.673077122233926,
      0.545558199720714,
      0.389107110468963,
      0.570693789858965,
      0.516612805286415,
      0.656067460568483,
      0.444348200127794,
      0.431746030161948,
      0.477910355406289,
      0.313801841731689,
      0.341020831619022,
      0.406942773923845,
      0.609143553383605,
      0.493440835460311,
      0.408636063569656,
      0.328675604511066,
      0.430872383148303,
      0.499039898566962,
      0.45394033043419,
      0.305122488712173,
      0.286487106189446,
      0.325225429349038,
      0.33101919142728,
      0.329711347935898,
      0.416211026384333,
      0,
      0.477677735033918,
      0.246108622994784,
      0.299837197827396,
      0.075708758443834,
      0.367756169957916,
      0.179471264770396,
      0.403814313205213,
      0.24629278264677,
      0.0169658095248255,
      0.357235965268482,
      0.214892104965852,
      0.309940714651427,
      0,
      0.192185062078276,
      0.196846830192391,
      0.208378917599842,
      0.329782531512868,
      0.31571078584451,
      0.180115081546029,
      0.103866176570516,
      0.0317594669655667,
      0.176678491839819,
      0.165679581867803,
      0.297057899723895,
      0.23978973919581,
      0.581116651572182,
      0.426294179845404,
      0.165775275706947,
      0.251596869142566,
      0.138856960133101,
      0.289669767211776,
      0.453983244810448,
      0.154871500462081,
      0.160677841586915,
      0.21325957798178,
      0,
      0.431548414269105,
      0.279229143574779,
      0.164792216770555,
      0,
      0.119095757273033,
      0.199028454979724,
      0.241463545155219,
      0.623807214289484,
      0.253419189462572,
      0.0587348502347252,
      0.421667733995,
      0.28319182422185,
      0.245563155653692,
      0.437794790926207,
      0.421561558825786,
      0.562122409408557,
      0.273075957933544,
      0.393391222419168,
      0.303091895796042,
      0.28404853560578,
      0.394014265348578,
      0.221232973966182,
      0.45158619922675,
      0.380362988646371,
      0.484130491833564,
      0.346591655172132,
      0.506300498502696,
      0.481073775784224,
      0.452666950383309,
      0.482587236139373,
      0.363384942123983,
      0.38879628811264,
      0.318031069342688,
      0.497991101024515,
      0.328966475360855,
      0.235136697604563,
      0.23253176897672,
      0.319930606383805,
      0.29809249073546,
      0.207658009192644,
      0.606363745583695,
      0.461703668850428,
      0.209742698730942,
      0.502259803735867,
      0.346331400912434,
      0.315160524096418,
      0,
      0.243314240317745,
      0.450019667521437,
      0.533469396535303,
      0.341454599583244,
      0.608278039380154,
      0.231327220272586,
      0.503597978643672,
      0.633627899175477,
      0.520810553036373,
      0.509462098369202,
      0.353711387930503,
      0.377917624040916,
      0.209789780977468,
      0.371968718257255,
      0.488960156790216,
      0.143122725966406,
      0.540771854036011,
      0.224113936774333,
      0.260003863605449,
      0.0743778864044427,
      0.158019646492874,
      0.624449921146693,
      0.493301233050322,
      0.353073737939631,
      0.371516093819343,
      0.275678412888754,
      0.542169546060181,
      0.529425322272076,
      0.449708838167515,
      0.280644906633833,
      0.344852535969334,
      0.485976386001385,
      0.498561044363678,
      0.418944714624043,
      0.469251713423147,
      0.461049252959381,
      0.504696720356906,
      0.497087049932998,
      0.45241751983969,
      0.30149729507916,
      0.500931341864425,
      0.298722797176365,
      0.367863340656486,
      0.43218001951494,
      0.368171846496362,
      0.333181401506506,
      0.16173898231852,
      0.372520040031235,
      0.458925949396176,
      0.553164475469348,
      0.51307526442552,
      0.515667188141411,
      0.566586826010858,
      0.528735137317127,
      0.254588315940437,
      0.525139408945132,
      0.695573412556953,
      0.409922967922572,
      0.341709398661027,
      0.491306019684941,
      0.53776695462021,
      0.604625842503188,
      0.304376664627109,
      0.510834528749815,
      0.424206653834503,
      0.401253778296784,
      0.283115598844585,
      0.255784987383138,
      0.566484876518207,
      0.518280502124822,
      0.535055361127063,
      0.396220927892835,
      0.245321120681329,
      0.53163984582422,
      0.45665560954558,
      0.638387949220571,
      0.472032908449894,
      0.624297639537955,
      0.435853833000552,
      0.323166971240564,
      0.448920661095281,
      0.605661249750428,
      0.343768658642561,
      0.511222322303042,
      0.437462454555068,
      0.433611712523011,
      0.494312228579276,
      0.301066666206484,
      0.302997360437964,
      0.433560430501749,
      0.421512210485747,
      0.438581423332829,
      0.34102449060178,
      0.338563708678319,
      0.392611517955015,
      0.33823074812103,
      0.262315072129725,
      0.345486892914208,
      0.34315899195915,
      0.359381962310221,
      0.46829872294983,
      0.222252193760902,
      0.354977447405327,
      0.118766530673543,
      0.454097205315728,
      0.231099116210874,
      0.476566149535752,
      0.344682262845723,
      0.201453456512485,
      0.336984741129446,
      0.42061882267599,
      0.1987494740062,
      0.402240948276791,
      0.142976577637325,
      0.445654667650612,
      0.387121591298425,
      0.485181571998849,
      0.348108081549624,
      0.238947836362213,
      0.423010409435963,
      0.489404034774445,
      0.275466840067593,
      0.351307989677252,
      0.230103730360377,
      0.390513569938861,
      0.251562876326368,
      0.335806014230476,
      0.335143795510977,
      0.344430536617389,
      0.495034673861749,
      0.499943676274128,
      0.469528122507329,
      0.338855894203764,
      0.384953327171645,
      0.356342241959564,
      0.396668260191442,
      0.187037701990672,
      0.313689446710896,
      0.455971189391343,
      0.408200985898278,
      0.394182075713226,
      0.402682794666619,
      0.446754627251793,
      0.371334500381171,
      0.338563466147396,
      0.468237107651914,
      0.296404186865745,
      0.503538575546509,
      0.334273611182667,
      0.216849678339063,
      0.499688227163107,
      0.273744830873369,
      0.373691874981546,
      0.301026224156946,
      0.364250311437744,
      0.438778818016603,
      0.342643481356871,
      0.294111250977594,
      0.355049528432634,
      0.396568880291708,
      0.504856128237436,
      0.293034825350682,
      0.379530929930567,
      0.25119705710581,
      0.407891425263964,
      0.495625864808224,
      0.334652813644996,
      0.399409270594063,
      0.362422361245726,
      0.334696206966868,
      0.55527224853365,
      0.279473440173406,
      0.47722673574982,
      0.316041538127724,
      0.26911053592307,
      0.351938185662562,
      0.220754255389062,
      0.342945388693743,
      0.304609632208599,
      0.182821460350501,
      0.513956732831913,
      0.360561707879573,
      0.256447055145412,
      0.3795654017817,
      0.444648064662003,
      0.354085542072715,
      0.377796950441246,
      0.452336944491825,
      0.335396687284097,
      0.497505132578559,
      0.514379941353813,
      0.315527769125215,
      0.49263111621782,
      0.308832520978426,
      0.610084565578624,
      0.45079475000229,
      0.541281112960517,
      0.70693759275635,
      0.595904520701205,
      0.627157727851779,
      0.556603896990959,
      0.57121721794972,
      0.621897594104853,
      0.532764616920207,
      0.302964340038607,
      0.25610934768143,
      0.367222585704364,
      0.341457639149192,
      0.56443669051283,
      0.381159848126586,
      0.372368585367305,
      0.424816084443414,
      0.466439974712815,
      0.35006615936822,
      0.433744069693282,
      0.417796220711215,
      0.364762378875902,
      0.541640355527557,
      0.469392452017803,
      0.590002631582282,
      0.57105364454942,
      0.493914883166594,
      0.591422150967075,
      0.367342245701809,
      0.539437973441065,
      0.403458447828763,
      0.472790131242737,
      0.555825173848302,
      0.37766731206981,
      0.504705736087139,
      0.453078431988647,
      0.2897301517223,
      0.254145300058954,
      0.54016883318222,
      0.598078382842701,
      0.494115948910546,
      0.457198813906365,
      0.438502244313772,
      0.420428496586539,
      0.379118575980806,
      0.511039163096295,
      0.459247106923453,
      0.314812999702269,
      0.653169398338324,
      0.396687224988464,
      0.432793044904304,
      0.380205750762889,
      0.393540169792898,
      0.531165490779488,
      0.603685884117386,
      0.587702836044467,
      0.469577434420739,
      0.592430640465156,
      0.423990373591552,
      0.545056143671655,
      0.437832573654624,
      0.440436571579704,
      0.328942601456283,
      0.348548078877538,
      0.418399920956511,
      0.441711298368556,
      0.378528012169239,
      0.327717838204885,
      0.276955404409036,
      0.651067958487248,
      0.527046738604541,
      0.433319901409622,
      0.503340559377108,
      0.460176286691415,
      0.514615715311472,
      0.533338491818474,
      0.494027354111272,
      0.458246089467117,
      0.642797001419289,
      0.575371858332633,
      0.564686682815951,
      0.394041230517862,
      0.541791117129617,
      0.498700597021426,
      0.355854075426093,
      0.353583585503592,
      0.51032867860956,
      0.403990042871471,
      0.320752542027902,
      0.525311707010801,
      0.397182564988057,
      0.303161375025693,
      0.341842879015097,
      0.38254236338199,
      0.528506342986916,
      0.378081221648891,
      0.335904870359656,
      0.276834184233712,
      0.165588563186758,
      0.169902517836333,
      0.268918692268595,
      0.230524211907882,
      0.219774086792196,
      0.284849537776516,
      0.152947503627617,
      0.382520395778853,
      0.442985557709031,
      0.294341756012515,
      0.331386090437403,
      0.394058246797491,
      0.370523340034057,
      0.409909856408786,
      0.326470967498205,
      0.377149488685484,
      0.319481795835943,
      0.350405726351157,
      0.510043541799442,
      0.48529234898917,
      0.31867504889915,
      0.429628512175471,
      0.311430287639321,
      0.510518821589688,
      0.516010813250913,
      0.584548496946405,
      0.417934288993798,
      0.381627982206443,
      0.45301044130956,
      0.44900179558184,
      0.463884522097182,
      0.550118116013084,
      0.394705532987013,
      0.513437486422243,
      0.523021182989,
      0.438400482164516,
      0.4441664775623,
      0.463141220848769,
      0.551699604503712,
      0.528656546395769,
      0.327473700323046,
      0.519611566852039,
      0.338243667946362,
      0.381715584088104,
      0.487538156897522,
      0.481246050327801,
      0.445573079124917,
      0.439171084746426,
      0.652188127026502,
      0.510116328165397,
      0.454913720445016,
      0.429732129895941,
      0.551099286320806,
      0.490642663956327,
      0.493262155646649,
      0.476447626835159,
      0.43378581708456,
      0.463477088631334,
      0.583245397490485,
      0.524868660441387,
      0.431611368056513,
      0.398801828559282,
      0.539237906382764,
      0.287421218824062,
      0.471832913585778,
      0.568966397387769,
      0.432691952295936,
      0.380023295771737,
      0.334100732004982,
      0.357009313278863,
      0.364041223007191,
      0.461480305493986,
      0.397284278461239,
      0.325280234322217,
      0.322022494686647,
      0.538566434685357,
      0.494524392122948,
      0.590695160671691,
      0.47171398249935,
      0.507744653293913,
      0.435951312568787,
      0.532087398975463,
      0.524757658434884,
      0.42521391430062,
      0.35994002660338,
      0.448938664939707,
      0.443562933229483,
      0.510941856483792,
      0.554196497314922,
      0.475622134347831,
      0.441540435332671,
      0.373304102316395,
      0.513049636709374,
      0.500267777715777,
      0.385793548696125,
      0.472243518461535,
      0.490899271562624,
      0.533251308510053,
      0.427195207292568,
      0.406393108171279,
      0.341981107797637,
      0.535923268554938,
      0.524086936706459,
      0.58691320749033,
      0.436218954274791,
      0.461623597261954,
      0.4883881469635,
      0.364652322451753,
      0.274783681444851,
      0.48922757743971,
      0.40587633856394,
      0.527822492621657,
      0.45018868989838,
      0.344485518498566,
      0.301630773475871,
      0.563950659955605,
      0.446604857940593,
      0.335674393854648,
      0.335716299574307,
      0.310385518353181,
      0.337904131460654,
      0.313804163824995,
      0.383703135337703,
      0,
      0.338559595444844,
      0.284643100449103,
      0.341828524649696,
      0.025276599512651,
      0.328655254212342,
      0.148552851671717,
      0.438089225194742,
      0.212947984807435,
      0.00316063407345158,
      0.420744926532702,
      0.141309637026001,
      0.29438979215392,
      0,
      0.143962127440513,
      0.181265126842008,
      0.168118214737285,
      0.290181171463047,
      0.303270420855086,
      0.0860872318062095,
      0.133241242239852,
      0.0587100493846327,
      0.166907204322116,
      0.182911269213082,
      0.253026228265586,
      0.217085291816259,
      0.491813599377449,
      0.276282268916072,
      0.188550370042565,
      0.242870621660445,
      0.0791210166327869,
      0.281802584680012,
      0.288130298931305,
      0.165767604114409,
      0.168508481871874,
      0.195987088170312,
      0,
      0.448008446237727,
      0.119185939707277,
      0.155690456697675,
      0,
      0.169173186048864,
      0.199290345649671,
      0.228071715644823,
      0.575308377911516,
      0.143950783615107,
      0.0330987013955461,
      0.386492406692132,
      0.328063141377345,
      0.257835021268446,
      0.322865257369595,
      0.344747552662013,
      0.583159534099982,
      0.267581175353182,
      0.350676948803268,
      0.2722780671106,
      0.248459283060397,
      0.380635283739345,
      0.235554190134341,
      0.481789939202053,
      0.385046739189524,
      0.433123509569943,
      0.327784367660043,
      0.478827386335304,
      0.564325423562553,
      0.459698266658491,
      0.487667316394216,
      0.476455182743374,
      0.387013854105815,
      0.336067035191939,
      0.486994425325179,
      0.292335391146069,
      0.231258889201916,
      0.219995738872998,
      0.338061350177765,
      0.364731711945112,
      0.216535761008291,
      0.574823934041578,
      0.20132379541488,
      0.211277688401268,
      0.508523700141536,
      0.350125694551214,
      0.25409344250518,
      0.00566213772632323,
      0.230185735812928,
      0.405946958295561,
      0.310442373775657,
      0.401628231210485,
      0.371091366436516,
      0.254091507544635,
      0.467026740594128,
      0.484324170599528,
      0.514469746890813,
      0.495919668360294,
      0.352720484583017,
      0.357626210394822,
      0.223230090544654,
      0.314740801414321,
      0.523413565665418,
      0.130053899887099,
      0.502547294370736,
      0.237690075911541,
      0.262383610562006,
      0.0497553381423252,
      0.225614332254046,
      0.523358707653757,
      0.389078145785113,
      0.363729486404586,
      0.371688863761985,
      0.288183004066727,
      0.520733421009769,
      0.545282994759739,
      0.542438530280989,
      0.343510467067298,
      0.538315835989934,
      0.495605541685899,
      0.436714906401477,
      0.439872202425395,
      0.456506739872337,
      0.442512471221048,
      0.476825930257693,
      0.515848257304613,
      0.452398090173895,
      0.303098126233963,
      0.483380491412311,
      0.27296762764101,
      0.333152975820628,
      0.326534348862668,
      0.262317470567905,
      0.322036396678042,
      0.174686686960283,
      0.366252249957391,
      0.527379519274003,
      0.577214823240206,
      0.423381368997923,
      0.440834418200646,
      0.563496478304426,
      0.575510410750515,
      0.438836070531168,
      0.515994723179877,
      0.607301978801083,
      0.361709217641917,
      0.360161291311313,
      0.547200840936903,
      0.496901364912404,
      0.396467487006206,
      0.340726891620297,
      0.512165735499533,
      0.449875434880823,
      0.432425743894205,
      0.356403745926666,
      0.290542662893393,
      0.465247211112919,
      0.544833911157519,
      0.528847806149722,
      0.346273452696712,
      0.243599512680914,
      0.513388153925316,
      0.376854318414928,
      0.510980683838445,
      0.393796746403455,
      0.640610693291227,
      0.453280095642722,
      0.494640154761153,
      0.379311457203209,
      0.558392791777034,
      0.353322331418862,
      0.458624224756303,
      0.417115803442192,
      0.421726506709394,
      0.480076320321506,
      0.322251665432023,
      0.356678777102916,
      0.428014129100123,
      0.454826879227124,
      0.428308690386569,
      0.518033442384962,
      0.543785800533616,
      0.561465899937813,
      0.483325155403953,
      0.516164667293887,
      0.373471955207839,
      0.444281184991989,
      0.52557385291368,
      0.403386347366151,
      0.197703677961138,
      0.351267574069827,
      0.154687167778686,
      0.464030502394732,
      0.250674192328169,
      0.367748459013236,
      0.354233445123084,
      0.203228668636122,
      0.519575481765896,
      0.575924680785254,
      0.212642226606211,
      0.398752678096887,
      0.152951033309912,
      0.365345993819932,
      0.399083417939805,
      0.569929503507424,
      0.35965989314404,
      0.202248867091222,
      0.401447396528302,
      0.479020193611852,
      0.244341895278621,
      0.365235671778331,
      0.269014031530272,
      0.361388577730126,
      0.309324851926779,
      0.317838745615783,
      0.349859235711891,
      0.357122031941385,
      0.641313573190619,
      0.565453169094893,
      0.273481305149043,
      0.401435804549225,
      0.455356152294047,
      0.515087105749557,
      0.592667138172824,
      0.24290937624443,
      0.344710862807773,
      0.619148909318573,
      0.426686588456247,
      0.433077912285649,
      0.573026539475285,
      0.643173088210511,
      0.460819342398856,
      0.565737358514599,
      0.450024361936666,
      0.479856429461002,
      0.328289825463992,
      0.338185886747493,
      0.171888600443097,
      0.484020260644364,
      0.258676574540487,
      0.323838551931432,
      0.250392903286419,
      0.395941745520194,
      0.486980509558086,
      0.310650339290263,
      0.545796883125689,
      0.464627420118201,
      0.628240005174773,
      0.491201546557702,
      0.469346673339681,
      0.469604988558353,
      0.295221813404953,
      0.700777354124676,
      0.476954422208335,
      0.478560692024523,
      0.406965519372348,
      0.45648990186167,
      0.287138072553998,
      0.559185853012304,
      0.326474160487869,
      0.679505271432174,
      0.343207218803646,
      0.479004283331332,
      0.485496036464953,
      0.279618043594405,
      0.280484453030989,
      0.321971631904038,
      0.189342872396772,
      0.535885759675155,
      0.380838950509041,
      0.225031520248919,
      0.388799907590205,
      0.23342519770931,
      0.440103200951974,
      0.388696945983934,
      0.448369810501842,
      0.35443560258558,
      0.493957160974652,
      0.526790311176541,
      0.269969896036947,
      0.518159436231883,
      0.358427835106253,
      0.459034800809948,
      0.475381864374482,
      0.532236490198333,
      0.484209780584785,
      0.473984083821836,
      0.500305898961384,
      0.676672457741385,
      0.542374703358673,
      0.539071739322351,
      0.527117109378749,
      0.488193625106572,
      0.244589325607259,
      0.417407984800849,
      0.409551461111322,
      0.353941128928926,
      0.552794756746583,
      0.572553861569555,
      0.456123381141422,
      0.425067411529965,
      0.312051078297904,
      0.494973583233632,
      0.446244957454836,
      0.402929775248433,
      0.513198577760729,
      0.627383332595764,
      0.522294710855832,
      0.562038740552442,
      0.53526714549502,
      0.584837793488054,
      0.351350796544765,
      0.420547990511654,
      0.345033263943851,
      0.620206873486863,
      0.562541240424383,
      0.418322352476345,
      0.52939157061937,
      0.338423170563283,
      0.267283874662376,
      0.250631588006842,
      0.607423740741981,
      0.549208652991228,
      0.552968446865182,
      0.39651072829646,
      0.430094147339858,
      0.436183966482561,
      0.382631256670754,
      0.569727654695695,
      0.587470042165458,
      0.302546021282549,
      0.4604333121656,
      0.565324884223885,
      0.523682364639527,
      0.382154853742324,
      0.536605040390354,
      0.603444471849569,
      0.491465059406327,
      0.507459737297521,
      0.455739535129384,
      0.393157283754788,
      0.404435779352715,
      0.518897166170733,
      0.33186387482017,
      0.40854441027133,
      0.296675231588356,
      0.288853679766325,
      0.328374628727403,
      0.428863648838402,
      0.399022939570891,
      0.316740243583435,
      0.306440105216445,
      0.54042955905918,
      0.495812112760061,
      0.41631325078993,
      0.499767377547774,
      0.607942989114461,
      0.521161602867415,
      0.466276320270588,
      0.412689160076867,
      0.455283454013189,
      0.639189501509944,
      0.582411398414389,
      0.529655828797367,
      0.353297341195063,
      0.538439246612161,
      0.487397895030955,
      0.350421499520868,
      0.347100082971553,
      0.522439750394337,
      0.409482167687699,
      0.391821865006545,
      0.518217189568291,
      0.412195655948239,
      0.292908119853947,
      0.342448483213159,
      0.451558871454236,
      0.474830694290815,
      0.3397231566017,
      0.394658430417476,
      0.287368423315917,
      0.122077146024881,
      0.106796711994474,
      0.291220981838109,
      0.210525358102665,
      0.209719307696899,
      0.490610140959889,
      0.161484078339423,
      0.422145943474749,
      0.475398035601829,
      0.29959444244492,
      0.372242020623128,
      0.466700615163476,
      0.365642351768444,
      0.39817674781657,
      0.319210959268454,
      0.415854402689375,
      0.327422891827532,
      0.364627441408343,
      0.450227756605665,
      0.445144320239455,
      0.36528947679606,
      0.452006033071244,
      0.309501535963319,
      0.530060625070538,
      0.354453112225032,
      0.528936186258622,
      0.387996830163927,
      0.388101736198861,
      0.461613733444651,
      0.447532937744107,
      0.443481202311317,
      0.648686321152647,
      0.467528195351404,
      0.518003431205029,
      0.547291072007683,
      0.359516968718468,
      0.484691852150965,
      0.471072818318812,
      0.579740583244905,
      0.555758456291349,
      0.329849589786088,
      0.381139748108671,
      0.360116476475381,
      0.447007787240053,
      0.457253616803987,
      0.421204708655447,
      0.389272766025016,
      0.440233113097753,
      0.603382803948724,
      0.488844115310005,
      0.384475165636337,
      0.458828715230179,
      0.435883002686657,
      0.419931804785675,
      0.49735927680007,
      0.454185996104629,
      0.363447462952892,
      0.443387761883997,
      0.382603661169528,
      0.577297840447826,
      0.423557712612706,
      0.390181064860024,
      0.542088724949678,
      0.487181941304808,
      0.460241591590597,
      0.552645365791645,
      0.454583017458688,
      0.367696378779731,
      0.356677791846029,
      0.386900692463389,
      0.361305821054718,
      0.42458093938687,
      0.34865021484026,
      0.353253523850296,
      0.368125410781354,
      0.517295001088804,
      0.422204596764788,
      0.569829983257018,
      0.549295648271417,
      0.280874090449159,
      0.429411043294216,
      0.512081950018612,
      0.422467399424522,
      0.42080809962989,
      0.366732295586733,
      0.399779234954837,
      0.448386764512296,
      0.467454693524977,
      0.558620785806915,
      0.423946352868309,
      0.419019962472824,
      0.454040525570593,
      0.474282653013331,
      0.486819411833218,
      0.38125098606285,
      0.472697367266177,
      0.509688739078934,
      0.52303592950399,
      0.568216074337381,
      0.43526839099007,
      0.375297993006042,
      0.542251744739156,
      0.546948648183085,
      0.407061998842795,
      0.406468932049413,
      0.361251430453137,
      0.537178370023914,
      0.378842328801211,
      0.28491423975075,
      0.480756786300037,
      0.34695163932272,
      0.503854896299408,
      0.410028695067495,
      0.296238311492869,
      0.502952386179396,
      0.385542269855053,
      0.458186536690121,
      0.359715378745423,
      0.327678262919969,
      0.330725859956313,
      0.321654881537247,
      0.26506918676216,
      0.443669905992885,
      0,
      0.387486062137387,
      0.24664522875562,
      0.216990622884949,
      0.0428985830976407,
      0.305427956185559,
      0.167964400824164,
      0.354969796091034,
      0.144097854046732,
      0,
      0.331588553152156,
      0.0820471153646943,
      0.1922770869861,
      0,
      0.155166692597376,
      0.19067792709452,
      0.16193274722216,
      0.274922159212877,
      0.24922794604593,
      0.0417664256486051,
      0.0918068799081531,
      0.0165161245233191,
      0.137318228499524,
      0.163012999408145,
      0.269085714336613,
      0.17720248086454,
      0.436441624624621,
      0.39261691139531,
      0.180421793706232,
      0.246727042139986,
      0.0493857155379465,
      0.293407644518068,
      0.360821248204328,
      0.0784940092068637,
      0.151164995079592,
      0.187090282471873,
      0,
      0.463308410452522,
      0.0618648561322968,
      0.161701452707966,
      0,
      0.164574380531091,
      0.197016313760547,
      0.226933685336678,
      0.406964090413609,
      0.167409302189058,
      0.0585711631254472,
      0.43159981461396,
      0.168171726418721,
      0.224109969260473,
      0.313242028096956,
      0.362558162572358,
      0.549485515797253,
      0.248322617030654,
      0.365682821015375,
      0.268601409370978,
      0.257936787239053,
      0.429636228584313,
      0.232205244087057,
      0.441036068082673,
      0.33000455906391,
      0.464321376193529,
      0.305214526669589,
      0.467279453876901,
      0.555972824358452,
      0.441429110994171,
      0.567244930647833,
      0.63765115409068,
      0.540954151370324,
      0.38635619499961,
      0.480964387256418,
      0.304951307882448,
      0.184531766671432,
      0.24603756560778,
      0.343205877219061,
      0.370096014165103,
      0.219618778682139,
      0.323987092137735,
      0.315110094026252,
      0.216227803602959,
      0.487561453108576,
      0.353252160487771,
      0.243438978523756,
      0,
      0.263341481960717,
      0.414096140959212,
      0.586538056883609,
      0.456716868527502,
      0.501635396104932,
      0.233030793453703,
      0.495494966151953,
      0.569131482999049,
      0.346026009052836,
      0.368813158373199,
      0.450297767028762,
      0.387722552920551,
      0.158615997149806,
      0.329243330918712,
      0.43926905720937,
      0.156606621206557,
      0.49418804974962,
      0.262635143975003,
      0.249351591738239,
      0.0352978398887554,
      0.207392965775758,
      0.552840062807081,
      0.37364972138263,
      0.378725369953342,
      0.391748869754576,
      0.44293108268182,
      0.540183648884562,
      0.533335688765429,
      0.369642796344938,
      0.395250828978288,
      0.61642817042297,
      0.589435355245975,
      0.557878063630821,
      0.57352182232455,
      0.445559463652345,
      0.455702012071246,
      0.532051879167417,
      0.500086076458928,
      0.348552388542062,
      0.329365432845515,
      0.477122866514132,
      0.263233751977064,
      0.326207862596274,
      0.373915480348345,
      0.276540905619107,
      0.373060261012788,
      0.202389139754618,
      0.365972242177813,
      0.495998157309554,
      0.493545206023107,
      0.420843936443109,
      0.45966434924996,
      0.557517667163463,
      0.497784799485369,
      0.463529271870763,
      0.448317299222728,
      0.483039460766841,
      0.419691562366259,
      0.470145170564711,
      0.614094821256699,
      0.494069003501001,
      0.531251349646001,
      0.34001494944835,
      0.438227793720796,
      0.35819362279878,
      0.392087620394812,
      0.317399663516609,
      0.275630740176365,
      0.51312448955171,
      0.526278002807512,
      0.537345822877207,
      0.353052847680144,
      0.204629981946588,
      0.52293688553829,
      0.326322097473055,
      0.485032925652864,
      0.353347444279079,
      0.391109496442566,
      0.334186650908495,
      0.572822722450121,
      0.496511047723687,
      0.495250902896148,
      0.305520979288389,
      0.48570090630898,
      0.424389453387451,
      0.425594306324453,
      0.475515726861669,
      0.427456398117,
      0.323030192915362,
      0.442004107441812,
      0.433484012247456,
      0.302859879611604,
      0.514726694637171,
      0.596200934937124,
      0.58235070310887,
      0.560347403576357,
      0.57478367958767,
      0.379644517804151,
      0.504015045505642,
      0.559269619084317,
      0.411999075643141,
      0.188239004317239,
      0.389423306836739,
      0.164122785526066,
      0.471094248392788,
      0.205336121633018,
      0.307306903207187,
      0.366875400924787,
      0.165252269401339,
      0.570276937734804,
      0.582272640715241,
      0.208682063381131,
      0.373452739915044,
      0.134607260810109,
      0.427331337581305,
      0.334924431831146,
      0.260447035730789,
      0.38348706598761,
      0.192173534382293,
      0.43044980731902,
      0.446874676933994,
      0.219321239473655,
      0.364850231082353,
      0.234281158348528,
      0.363314725112705,
      0.322825766943993,
      0.311615200787677,
      0.343253563875648,
      0.412766394170806,
      0.572534307291535,
      0.582915336188611,
      0.336478915600183,
      0.443759484587489,
      0.672408361964978,
      0.569951082527351,
      0.565365750786172,
      0.230276956591713,
      0.374267520597054,
      0.628428581172522,
      0.374963405634013,
      0.402253976089678,
      0.597786731859094,
      0.58526552270766,
      0.47114083538967,
      0.553824149591948,
      0.421334111658569,
      0.493620003933361,
      0.351779159596821,
      0.338520086341026,
      0.211739965945769,
      0.490988034920043,
      0.218907265530356,
      0.313409520183238,
      0.295517628859854,
      0.348083451722998,
      0.389111147065251,
      0.325853278541589,
      0.526546507533494,
      0.487419037466501,
      0.597831215779926,
      0.47476312993524,
      0.514933340745763,
      0.656629006094079,
      0.328816325817246,
      0.669598134118861,
      0.523348823542649,
      0.512815292799937,
      0.452028956799864,
      0.382493915941855,
      0.35139919674933,
      0.528323222131369,
      0.309682904206844,
      0.524712470332017,
      0.370906074148221,
      0.517396497659185,
      0.622402519440768,
      0.306577194461329,
      0.296792040720339,
      0.357119672140435,
      0.219777766748288,
      0.527034728182423,
      0.324457566467319,
      0.208945435532187,
      0.37938244951774,
      0.396742428574918,
      0.595651624609396,
      0.430035552320259,
      0.319202833610799,
      0.371647086061642,
      0.41185779082191,
      0.474582310055381,
      0.321184096204824,
      0.507062245108373,
      0.356501000846113,
      0.482137265382694,
      0.442712324749289,
      0.68561149290095,
      0.563105278105824,
      0.618620100747701,
      0.455911433110605,
      0.616110819926009,
      0.532211329119481,
      0.484064459513342,
      0.532651256451693,
      0.555816124099036,
      0.260716599137582,
      0.453577925358962,
      0.525390777729845,
      0.479073833404754,
      0.612136476252309,
      0.642079463741552,
      0.480615733812674,
      0.410821779750942,
      0.312397481665636,
      0.525547205004024,
      0.458752369513776,
      0.393664675186834,
      0.466866581195282,
      0.59019477617347,
      0.541596663142027,
      0.49443493542245,
      0.540957811144932,
      0.567221273975508,
      0.628235963738129,
      0.547899883483651,
      0.622163350517394,
      0.492152519236532,
      0.58312377221694,
      0.466711881996633,
      0.540158205137225,
      0.452607236091093,
      0.27820808108461,
      0.255460953064189,
      0.556245588965554,
      0.637667991052649,
      0.585959624184037,
      0.385095560929341,
      0.418358567199934,
      0.430094083093749,
      0.369841304532792,
      0.584218015962239,
      0.546638058696893,
      0.371488498418533,
      0.4620737245777,
      0.552845977359213,
      0.619341532255586,
      0.406615479229885,
      0.582104043120691,
      0.605918444721152,
      0.506102678491571,
      0.637527458024153,
      0.407513639965812,
      0.462528518221374,
      0.41000435730937,
      0.467956346485802,
      0.421417885180883,
      0.416091434846922,
      0.299774487722057,
      0.260697621353683,
      0.340409130189749,
      0.280936401403388,
      0.483750864167743,
      0.357387965382113,
      0.201770687233013,
      0.521742194287385,
      0.568884336234654,
      0.39146667084912,
      0.467651823567377,
      0.566295801660933,
      0.517591723653249,
      0.502814703659494,
      0.449153662627819,
      0.440521695898737,
      0.427738293564527,
      0.572709011142795,
      0.502952292419455,
      0.326803491977012,
      0.525018369219289,
      0.471944331932815,
      0.366343361427652,
      0.361816326682677,
      0.498493003922766,
      0.405027109699942,
      0.303144643754785,
      0.540774392501598,
      0.435554629928753,
      0.314290011347424,
      0.334811413151972,
      0.475883656707757,
      0.481657183390856,
      0.306174326163094,
      0.278578641215632,
      0.28635368429062,
      0.0823734705117679,
      0.119412468751877,
      0.259398851762149,
      0.225260158483256,
      0.215519893045703,
      0.410493296443453,
      0.195706853715765,
      0.526199068148302,
      0.429044231875059,
      0.326312884772305,
      0.356497567879408,
      0.261005811742117,
      0.338251635769204,
      0.382580586733682,
      0.321204549815134,
      0.382669497393462,
      0.392976277459229,
      0.356411558245549,
      0.479412596848648,
      0.472621874330881,
      0.27955004056808,
      0.374851885544123,
      0.23836353673262,
      0.498219216957427,
      0.473236000106531,
      0.539529703445882,
      0.43732772277174,
      0.388049435037229,
      0.460874456727038,
      0.430169544891635,
      0.37764093697542,
      0.630439018357901,
      0.423191603073874,
      0.520525521206851,
      0.553900590850236,
      0.434311288956218,
      0.47527114687541,
      0.447055327461724,
      0.572670714984144,
      0.545005564403254,
      0.315587287699687,
      0.496605089629273,
      0.354524926422629,
      0.397665038995007,
      0.464816338469518,
      0.479689013562676,
      0.329028306338134,
      0.469394216590561,
      0.480813198197146,
      0.451322932331883,
      0.354856430570975,
      0.567601059660461,
      0.426568597736534,
      0.394131553314183,
      0.475147630725981,
      0.47184695387407,
      0.443845733293612,
      0.596013008147538,
      0.504700425089139,
      0.593127032234391,
      0.428312392637681,
      0.369883208916817,
      0.430106813798191,
      0.489088937388243,
      0.473598606594604,
      0.509842495161171,
      0.420541264534164,
      0.319001614429082,
      0.363369262802999,
      0.394132286180612,
      0.347598431054751,
      0.415681854898031,
      0.357391455942986,
      0.396389028000915,
      0.361701385956825,
      0.495232800073423,
      0.420136147960973,
      0.467091038325713,
      0.570785976457983,
      0.323433048734089,
      0.486674565417163,
      0.576489847190173,
      0.506602027523011,
      0.426986897007373,
      0.382654874802264,
      0.472988144971314,
      0.546162260706474,
      0.465284460056169,
      0.410432269723994,
      0.462504842938079,
      0.437279614831595,
      0.48294720309772,
      0.515925146378796,
      0.474093145960393,
      0.354479452978437,
      0.500621049017816,
      0.580441923457152,
      0.51156385320711,
      0.622861259922741,
      0.52452320761947,
      0.374461475907613,
      0.573526600588717,
      0.474687490041773,
      0.379508884089383,
      0.394805273430654,
      0.396327308631901,
      0.491802830932573,
      0.372701164846872,
      0.2512839085696,
      0.386097079301827,
      0.393366259043031,
      0.461569077250868,
      0.413224141904994,
      0.28868833460406,
      0.497365325918349,
      0.439685286033243,
      0.483578888591778,
      0.316137144642653,
      0.355675178117015,
      0.338978644409044,
      0.308790603799958,
      0.330060051977852,
      0.41994962353952,
      0,
      0.215436689744428,
      0.299599075535893,
      0.291693895869263,
      0.0670391817540578,
      0.316665035614001,
      0.282404744592078,
      0.333836617184587,
      0.1782081248614,
      0,
      0.320613939558841,
      0.109134467558236,
      0.0993909970194184,
      0,
      0.185823218885907,
      0.198475503334995,
      0.171400945656452,
      0.268024157095057,
      0.210218992953031,
      0.0112989242120208,
      0.106699069940127,
      0.0109892007362276,
      0.15666940578291,
      0.104973151138023,
      0.236979830267455,
      0.190223040870975,
      0.534205633859359,
      0.358164254226715,
      0.155146142185569,
      0.214249272546404,
      0.0531683993401174,
      0.281791164059359,
      0.25868966270238,
      0.107747528725881,
      0.138616345981257,
      0.0881484681408965,
      0,
      0.410777968134513,
      0.0551741131886608,
      0.151410282742251,
      0,
      0.172146824880955,
      0.163251953847711,
      0.122534794448314,
      0.503864159848616,
      0.106144471909545,
      0.0697086203978576,
      0.434764149621376,
      0.0965851824695886,
      0.197129205551036,
      0.164781457443594,
      0.349707177875958,
      0.554432672962107,
      0.271135571582074,
      0.397451187018016,
      0.269289157951321,
      0.253460939298441,
      0.437964821029772,
      0.216566685570701,
      0.442377077083994,
      0.371257469236609,
      0.487054812802829,
      0.305175121426177,
      0.479752230354858,
      0.486180749224294,
      0.390689093251085,
      0.544504654496441,
      0.445346760847046,
      0.523178762308423,
      0.322211794501715,
      0.42613354743146,
      0.318683612392976,
      0.183158669253723,
      0.138171507466611,
      0.300033107540214,
      0.35542404989293,
      0.228107351488018,
      0.47510963769625,
      0.318678485858182,
      0.217679580192735,
      0.480952180951622,
      0.376446671685739,
      0.276547086123973,
      0.0121979077491192,
      0.263104562840213,
      0.430261890934237,
      0.570469857454532,
      0.358917753285399,
      0.647556415916358,
      0.247752167386123,
      0.490091146806134,
      0.575414153708148,
      0.493132242925788,
      0.351424526964794,
      0.425995688194436,
      0.385661475842148,
      0.197933112798744,
      0.315547092033033,
      0.487264740114536,
      0.16241034663235,
      0.477531249719471,
      0.232188643463638,
      0.229359987466929,
      0.0468826260303136,
      0.212906958909803,
      0.534385901085282,
      0.379268179637739,
      0.358547948964805,
      0.523209795556926,
      0.331330051938522,
      0.509596680403945,
      0.40951493914975,
      0.374781055223473,
      0.299437024298967,
      0.492726994558141,
      0.553056033436539,
      0.573963643780436,
      0.534895485782522,
      0.385474113561628,
      0.467987941960574,
      0.521762080105317,
      0.470405478227647,
      0.297574566703175,
      0.291568080707302,
      0.493434643665147,
      0.258071310546274,
      0.344200734023553,
      0.365706373051502,
      0.244832654542294,
      0.340239820175713,
      0.17968431194215,
      0.381100287289524,
      0.41334143201561,
      0.557712076962803,
      0.429728374058632,
      0.396114902843462,
      0.567207388163899,
      0.505440573174082,
      0.293986770097118,
      0.469469654534633,
      0.559487531117627,
      0.374712856992489,
      0.401632209822645,
      0.398899121753529,
      0.47391174082773,
      0.404235521878987,
      0.369936827465356,
      0.476869608739767,
      0.421962272299839,
      0.402957801016068,
      0.319041080559664,
      0.281964742091401,
      0.469934868188588,
      0.540753568913547,
      0.476807282405654,
      0.333280133779027,
      0.204571689033296,
      0.537546532099792,
      0.412601019320478,
      0.472098731986593,
      0.333952292188404,
      0.576313229834383,
      0.361924336667043,
      0.498206277882723,
      0.516673522743325,
      0.540239554356181,
      0.360595624367819,
      0.486697669727285,
      0.437396999120025,
      0.427288743006234,
      0.46210960454958,
      0.326361385287381,
      0.291747085065441,
      0.635695307694062,
      0.635964715523167,
      0.416312456269093,
      0.380967390814895,
      0.304321200448845,
      0.405701977716083,
      0.419290036169376,
      0.229191345588185,
      0.322264601449653,
      0.403688116767189,
      0.36158021755168,
      0.446053223004258,
      0.186714808352875,
      0.363322379302695,
      0.12799046193368,
      0.48417156351035,
      0.270569360893067,
      0.413493503084791,
      0.335570266056044,
      0.181643008829501,
      0.396936856020699,
      0.418945181478422,
      0.199700404508915,
      0.358111630833738,
      0.114027347188067,
      0.454031998887443,
      0.357308721211863,
      0.215736803365736,
      0.400469408575588,
      0.187644649141686,
      0.396226568882978,
      0.475106415633229,
      0.212357013034164,
      0.363214847858011,
      0.235395763401267,
      0.379847016314034,
      0.306888225149148,
      0.308562060560839,
      0.407096066258465,
      0.342118685751015,
      0.361571083368451,
      0.518695940456382,
      0.435491228358404,
      0.362047565498338,
      0.655798553675265,
      0.39938994500481,
      0.389232004752326,
      0.192175970867159,
      0.380381086974019,
      0.540171321689033,
      0.607499074956524,
      0.412652165493011,
      0.39945722772462,
      0.417850569652517,
      0.386058982836842,
      0.284094867729394,
      0.398628550391235,
      0.340608998176825,
      0.480328910537706,
      0.367628434423115,
      0.17942548827473,
      0.52490554542242,
      0.252194591418039,
      0.335745348915132,
      0.302152466301588,
      0.378862391468028,
      0.452618143275872,
      0.289483103918103,
      0.279566303336883,
      0.33120196866171,
      0.32421898220296,
      0.520056099079697,
      0.305693089302091,
      0.489148370527718,
      0.2759921548894,
      0.328917845932485,
      0.458692222335624,
      0.253229300214475,
      0.452779849066355,
      0.348534403235484,
      0.321471173503618,
      0.548204954963554,
      0.346620116404825,
      0.35800933463006,
      0.341264153403385,
      0.252275296241815,
      0.412827183911013,
      0.304534117464197,
      0.341868779095704,
      0.362255832481506,
      0.209311839324041,
      0.522593092609144,
      0.360061375922519,
      0.253549420127205,
      0.374903892088117,
      0.460024232589602,
      0.424751765439919,
      0.362898073766757,
      0.413252518069274,
      0.398112245082691,
      0.476854878831524,
      0.498389335555272,
      0.323025483824703,
      0.528015141386787,
      0.316748396154377,
      0.482901463673387,
      0.458384751686969,
      0.634781000695637,
      0.581600374810565,
      0.616274807830402,
      0.563095800212749,
      0.552676931929978,
      0.486321515054525,
      0.551502487228152,
      0.466458775609271,
      0.309736916106415,
      0.291029410970457,
      0.37879392411563,
      0.496606689579912,
      0.519483746867082,
      0.423688144041037,
      0.484322602859963,
      0.476891621276736,
      0.40851729084377,
      0.330905622576233,
      0.490934493636383,
      0.461362461596424,
      0.411787496155829,
      0.472885506322678,
      0.490523135680811,
      0.578568177217455,
      0.493531534254894,
      0.507251132643899,
      0.540355598391747,
      0.641416152382656,
      0.5981114776345,
      0.630710062293484,
      0.417691458564682,
      0.497013512526786,
      0.418142422120716,
      0.51679476304103,
      0.402317584087954,
      0.243861226641027,
      0.278759384253745,
      0.402632114634508,
      0.639523583345086,
      0.406913661327238,
      0.418672799143015,
      0.379225530186506,
      0.411955751793158,
      0.371240030576642,
      0.541756504830409,
      0.443462408464348,
      0.298204476076874,
      0.565921906885797,
      0.389632902449122,
      0.54926591214811,
      0.396441378781077,
      0.482425409891029,
      0.532223199284962,
      0.566979876740831,
      0.659962281919273,
      0.436689741289413,
      0.5041234048835,
      0.487497282301138,
      0.473342152792184,
      0.391867683746859,
      0.406662150791099,
      0.274499103136723,
      0.244566716653061,
      0.334364938831849,
      0.418976536805965,
      0.452114533095135,
      0.401398244569452,
      0.281538990943935,
      0.564999976213721,
      0.485007606471004,
      0.439007728276752,
      0.424150747551288,
      0.391287003015602,
      0.467872713552159,
      0.497236794747538,
      0.416385939089989,
      0.43626810921695,
      0.554138967875025,
      0.576384910094382,
      0.481965077025589,
      0.349499901330339,
      0.489689344141399,
      0.492623273133402,
      0.370769490199554,
      0.359946106567676,
      0.498027798668519,
      0.449563201612463,
      0.327947614318848,
      0.482227711094241,
      0.41924344815215,
      0.303983604577096,
      0.337647978571641,
      0.428064962362778,
      0.459976869522055,
      0.333055230110228,
      0.273656756621003,
      0.239381922473508,
      0.212743109977755,
      0.21304876884204,
      0.260961129501304,
      0.176576857128815,
      0.24711804174231,
      0.344189207318305,
      0.217746577971573,
      0.485384644918081,
      0.477193024293867,
      0.282959769421611,
      0.356866256783913,
      0.42008129035274,
      0.363296414923475,
      0.389951087659377,
      0.351165920284089,
      0.347334379996303,
      0.398889617160137,
      0.35353612073635,
      0.495023349818989,
      0.44914967791249,
      0.319093587345359,
      0.435701211973461,
      0.226944681051298,
      0.526899084814405,
      0.382627601673106,
      0.531049423188934,
      0.412279228650539,
      0.344209203103288,
      0.473749878149899,
      0.480841026241652,
      0.398120842370324,
      0.443098201094481,
      0.391314547384395,
      0.501810818995596,
      0.529952109002954,
      0.490162671053421,
      0.424075846300914,
      0.452475532833836,
      0.614324612916234,
      0.535670788608124,
      0.336216356179888,
      0.500039731471282,
      0.337394477618747,
      0.389552296910282,
      0.471589159418446,
      0.444447168747069,
      0.43018849380577,
      0.416984016241377,
      0.548556919884088,
      0.507101787604063,
      0.449247103501133,
      0.4706333800301,
      0.541251087827432,
      0.492631182083407,
      0.498200180224321,
      0.456723242203426,
      0.402139465966032,
      0.483053089804478,
      0.585591230235415,
      0.545692577732193,
      0.37409334644573,
      0.443307533529376,
      0.564867730951225,
      0.301933380707361,
      0.459603875398686,
      0.546215928672452,
      0.456342436523771,
      0.373764569727528,
      0.330101954523913,
      0.321041824669,
      0.374164334357832,
      0.432221810943296,
      0.354762343046206,
      0.362837164287594,
      0.343500514300978,
      0.475886398338105,
      0.467301615906444,
      0.497507872041823,
      0.522126155375312,
      0.385386373152741,
      0.434885274021044,
      0.567160530909632,
      0.578959370609049,
      0.411307236972518,
      0.367050559167116,
      0.480597395216593,
      0.454013331300061,
      0.46988313391789,
      0.479095414614503,
      0.47453371781705,
      0.554800063140447,
      0.556101951622474,
      0.599595975482247,
      0.589850611855618,
      0.371439734262393,
      0.498302389839227,
      0.457459704574928,
      0.505027643282453,
      0.393917556922918,
      0.430227736007976,
      0.409586117039986,
      0.58145334054077,
      0.538673981610518,
      0.41591503361964,
      0.548188296772335,
      0.558983541118205,
      0.565107554410197,
      0.531761655782627,
      0.510754004487934,
      0.503810000844711,
      0.397513548252126,
      0.58678375675218,
      0.536184079529937,
      0.35841482492008,
      0.318978913476225,
      0.526237684173988,
      0.480352213637299,
      0.282623566999764,
      0.355289223895831,
      0.48720092548191,
      0.484383866108519,
      0.312919346519713,
      0.388719326843437,
      0,
      0.232136928262463,
      0.28891301543222,
      0.250547000090638,
      0.0374159041270884,
      0.297258845924818,
      0.267383098075644,
      0.292519348438007,
      0.169934296283172,
      0,
      0.44174049666489,
      0.141653455138983,
      0.101222798407862,
      0,
      0.258907505106888,
      0.224605958425396,
      0.276258756045921,
      0.29993682935125,
      0.175881602522984,
      0,
      0.127820601524714,
      0,
      0.192247649418887,
      0.0901264731272682,
      0.227080022679074,
      0.162736936665095,
      0.449443395105801,
      0.273744407479161,
      0.226991559567648,
      0.165963660504218,
      0.0910207934146841,
      0.341300110007525,
      0.359528849100634,
      0.109044830824418,
      0.174922728107278,
      0.119073139288125,
      0,
      0.498867179451994,
      0,
      0.0613223422184121,
      0,
      0.277010197565869,
      0.181557922709533,
      0.060575320101187,
      0.395910994359862,
      0.149328089759322,
      0.095026553083997,
      0.479030650465915,
      0.0211426553642419,
      0.206252154950322,
      0.141264689413582,
      0.341103129253637,
      0.603345152355922,
      0.304429048380146,
      0.352083502912774,
      0.319483779175203,
      0.29775323905131,
      0.437066958239101,
      0.254100369452947,
      0.456122033970478,
      0.374400941201461,
      0.473558766230566,
      0.355453638736007,
      0.48277851992859,
      0.500926966393352,
      0.4556170053609,
      0.452084627056141,
      0.462714656457088,
      0.353837763245334,
      0.264216412515195,
      0.356347512121243,
      0.386895933001404,
      0.227420759870624,
      0.202252282848812,
      0.287233528124591,
      0.443403868711521,
      0.278781873002712,
      0.403651232244757,
      0.285736999214763,
      0.197720223373041,
      0.512525834297521,
      0.430271647453654,
      0.290172538075012,
      0.0600199656761084,
      0.237391834761954,
      0.471257143205596,
      0.371291525307748,
      0.403913263156268,
      0.47690403095994,
      0.308871364550472,
      0.54095446879594,
      0.358037786548791,
      0.530681086949455,
      0.393224255950086,
      0.344141683118003,
      0.465314678180959,
      0.25388369256637,
      0.315125211232936,
      0.484669242501821,
      0.182877417367728,
      0.527730335052185,
      0.31170481389748,
      0.300754487412054,
      0.060975848404245,
      0.214055735554773,
      0.492656445199395,
      0.335312503061202,
      0.433041363023911,
      0.452821116132536,
      0.338486409504123,
      0.551525410647075,
      0.353064593538886,
      0.472904574557117,
      0.346759920114882,
      0.51084880555651,
      0.503644661568223,
      0.461094144209966,
      0.449343593131138,
      0.369890776136566,
      0.485834983338261,
      0.487341965840782,
      0.422136767366503,
      0.295636110000072,
      0.313483344238801,
      0.51420077344245,
      0.261610659122692,
      0.390699054859331,
      0.381948711263288,
      0.23202493403917,
      0.349776652610613,
      0.151346811591664,
      0.436332578748119,
      0.356111614182607,
      0.426451070048401,
      0.420149902458913,
      0.425053342688128,
      0.556255527990908,
      0.490528185079554,
      0.413070934327781,
      0.395325425965215,
      0.419820932120131,
      0.429952365974137,
      0.348041026580169,
      0.484981485882092,
      0.462813570464854,
      0.373753473949491,
      0.409852899554058,
      0.456546082563575,
      0.399581061170202,
      0.380776098298373,
      0.330609024735505,
      0.306805628573154,
      0.395295250743167,
      0.524243560940865,
      0.400761646988704,
      0.334841156232557,
      0.244925521963909,
      0.542792488521007,
      0.303086829858358,
      0.415223683416211,
      0.309262409865839,
      0.541987153935259,
      0.366709545602431,
      0.472916773608565,
      0.379556218612121,
      0.350295663074902,
      0.355803611694259,
      0.383072797783831,
      0.46982086528712,
      0.46500253621535,
      0.470538732095815,
      0.313474494832348,
      0.357890217302128,
      0.534603342999468,
      0.58973252985594,
      0.364902691696593,
      0.373145308595839,
      0.314441617302695,
      0.44350042689234,
      0.368102725419694,
      0.203388243627288,
      0.340822827469104,
      0.322622898735099,
      0.429272419386719,
      0.452030307549209,
      0.242731915655152,
      0.328355178903537,
      0.167584891682917,
      0.494517303274532,
      0.303628650989067,
      0.198685038478157,
      0.366083819674685,
      0.218981828465348,
      0.447400694894068,
      0.488506746184091,
      0.224710064892823,
      0.398292646279324,
      0.1685440849819,
      0.440539453831212,
      0.457600944638981,
      0.497308419613728,
      0.382046523591338,
      0.202594515794602,
      0.444947348744279,
      0.475980301697368,
      0.262549234408741,
      0.360136499152611,
      0.243149925162959,
      0.413910437254625,
      0.38233274384534,
      0.365936431616145,
      0.378413817440811,
      0.319459740331673,
      0.362342365005153,
      0.541019269422522,
      0.353932564684448,
      0.42787235086767,
      0.451662236953561,
      0.313138952382333,
      0.450357323181106,
      0.244801129388409,
      0.452112111970526,
      0.433893705424885,
      0.60453233458927,
      0.433091902245917,
      0.39075806247678,
      0.46577909848099,
      0.402492544494533,
      0.309924813423677,
      0.440082330437854,
      0.316886132947645,
      0.328087198435246,
      0.358012472236338,
      0.192077814918728,
      0.474157929832867,
      0.258104871509528,
      0.292596363185188,
      0.30880298776794,
      0.358657190321797,
      0.374374027636774,
      0.245661066789053,
      0.518652318315289,
      0.430419594350782,
      0.3504947885727,
      0.472903588738608,
      0.244017517757505,
      0.345046209373214,
      0.352388096308751,
      0.310148317606819,
      0.487487970867539,
      0.271081285625091,
      0.503052837723905,
      0.360219038147934,
      0.300342975345547,
      0.551886099850039,
      0.366772036297095,
      0.345599217441838,
      0.303431536850574,
      0.200810138859806,
      0.377085415337918,
      0.296232941478932,
      0.278440968574474,
      0.325121134853161,
      0.165310027509199,
      0.556609600221277,
      0.341342041784091,
      0.232652459474462,
      0.373095426637499,
      0.291518429617104,
      0.377712148075913,
      0.376857343919991,
      0.373372749425395,
      0.380030719658011,
      0.444733042020907,
      0.521748987236836,
      0.331709786664884,
      0.501407889564226,
      0.358953914183318,
      0.421066819927938,
      0.493965102218729,
      0.484730280289118,
      0.460563404812855,
      0.439881098885011,
      0.525214592541928,
      0.630282137561134,
      0.465666774794987,
      0.36424892787525,
      0.438098195917,
      0.518686046656605,
      0.310162086754484,
      0.406057937389529,
      0.39214552014336,
      0.365578074791857,
      0.567670798205971,
      0.3870537628339,
      0.456499385016174,
      0.392195823568532,
      0.322834778415122,
      0.507633309584765,
      0.408065839072214,
      0.421790709115767,
      0.51245442760722,
      0.545285697062734,
      0.544768814441012,
      0.417471128517533,
      0.483331519791567,
      0.551639138806709,
      0.363474531155309,
      0.469982839636627,
      0.431169051871209,
      0.607057902378945,
      0.546226152397339,
      0.482379909792702,
      0.514156079453907,
      0.298827404930623,
      0.21598397660323,
      0.284474306580086,
      0.497842066266012,
      0.589656681921968,
      0.495414061296878,
      0.350834579927681,
      0.361936903735698,
      0.448549398555433,
      0.392334299282706,
      0.509178302827584,
      0.53202815522546,
      0.308182855273351,
      0.529520163918544,
      0.451675370501107,
      0.466240446334491,
      0.394499718680606,
      0.434612069967454,
      0.587418253610297,
      0.553114567536953,
      0.492302621837787,
      0.424914856317105,
      0.368157885079394,
      0.474529619344164,
      0.485673653142581,
      0.375400923612605,
      0.355942440115683,
      0.302278156376452,
      0.240189433228647,
      0.341559858159587,
      0.358075752860983,
      0.315446107611231,
      0.39351660590224,
      0.282562751643496,
      0.500958841206372,
      0.436164312678575,
      0.412200019346746,
      0.399619520106985,
      0.517088117490024,
      0.406393351659152,
      0.36554282509394,
      0.394234085718253,
      0.472892132192151,
      0.520235331661241,
      0.55094202246701,
      0.490189437915991,
      0.434078966471424,
      0.480830275179115,
      0.421199390180577,
      0.394056447123038,
      0.359151707037317,
      0.454420894838215,
      0.451725760517217,
      0.364041103177768,
      0.483540022169477,
      0.399004338189152,
      0.270873511232074,
      0.330463483210641,
      0.516492171144317,
      0.546047853046112,
      0.392585508398559,
      0.259093040911994,
      0.305632530049247,
      0.175765093484015,
      0.231527721871413,
      0.362986361713908,
      0.244999296936378,
      0.233650282856098,
      0.480945711902726,
      0.257554175729374,
      0.388065422273529,
      0.480937168329918,
      0.360699659110527,
      0.45038519825614,
      0.426303194569893,
      0.383427411441356,
      0.40723868177793,
      0.411134866795315,
      0.379461146990013,
      0.380813099018003,
      0.405655963933781,
      0.498818871436314,
      0.464755495508753,
      0.363887110375357,
      0.331804042194703,
      0.310116792587024,
      0.5292601029874,
      0.398493874632579,
      0.483115239410526,
      0.493782608670518,
      0.372668545108641,
      0.485320123656934,
      0.492815522824237,
      0.435450587602809,
      0.474731943572034,
      0.426208563470304,
      0.537744746718215,
      0.480861353148815,
      0.363885097176749,
      0.535433000955866,
      0.498765961192021,
      0.515720734650079,
      0.5375367792599,
      0.324165252699091,
      0.43801404471519,
      0.339600705954026,
      0.370720727066043,
      0.456439567872082,
      0.42557747694038,
      0.44374778855632,
      0.401332884321285,
      0.56423284652262,
      0.505746813806398,
      0.379001020198749,
      0.455512772907682,
      0.531708260527513,
      0.442353739454657,
      0.551109525665517,
      0.434769042160383,
      0.29764605066583,
      0.396776203682498,
      0.373918011651966,
      0.581037883374221,
      0.473294705150253,
      0.376816221844036,
      0.607447395602219,
      0.485659050892156,
      0.470048631512843,
      0.543117881043629,
      0.455719746015209,
      0.350657472046745,
      0.337353899218122,
      0.374847948758445,
      0.388409940166788,
      0.402741623331543,
      0.44093081264913,
      0.296504783470944,
      0.320908415980446,
      0.508803489916457,
      0.416320033691217,
      0.47792613072283,
      0.45280290338269,
      0.284398439262273,
      0.50976977334293,
      0.522424002021474,
      0.461074576753207,
      0.426386246829069,
      0.365210411485097,
      0.499121180576523,
      0.41890053633596,
      0.431293890241,
      0.539340866336814,
      0.404880632812021,
      0.57160881881419,
      0.592567684122235,
      0.60002372126854,
      0.576018516371915,
      0.367877042267728,
      0.494827507690412,
      0.450076100781524,
      0.492503540173075,
      0.415559189154738,
      0.358270190667789,
      0.367084663053022,
      0.587554670871715,
      0.57507910303744,
      0.397393482957151,
      0.540987968967128,
      0.532876327541755,
      0.55115655212336,
      0.528751819400192,
      0.530831999383887,
      0.508261656707782,
      0.372590968704808,
      0.569362364351336,
      0.491221308496999,
      0.334506634985119,
      0.368055036047845,
      0.357714015747178,
      0.52495711519262,
      0.299867761978073,
      0.293210213658241,
      0.481052513096796,
      0.433946703757594,
      0.2554087603486,
      0.40665657470687,
      0,
      0.186832168407638,
      0.210393160618736,
      0.365951388716598,
      0.0344658198388921,
      0.270617888929745,
      0.306516977849043,
      0.346014128709707,
      0.182700048111047,
      0,
      0.442467166676786,
      0.104809645924915,
      0.0634291642448147,
      0,
      0.248265929188478,
      0.18859749977373,
      0.268141227481381,
      0.398982765572967,
      0.184984685779765,
      0,
      0.186963631195149,
      0.0209245464286612,
      0.126868733297051,
      0.116444294639853,
      0.233259583853917,
      0.155092747658666,
      0.516421505857763,
      0.358438459475887,
      0.225975728577149,
      0.194824282291082,
      0.154192984358335,
      0.396424254859019,
      0.362735537964123,
      0.0923666312292347,
      0.143622034394472,
      0.0446169043669432,
      0,
      0.467778662453131,
      0,
      0.0180262885024485,
      0,
      0.233880444082939,
      0.163916306100562,
      0.0357435357361044,
      0.422973523444547,
      0.205881554194899,
      0.06515154231851,
      0.495780534537462,
      0.129523638708961,
      0.143511594840569,
      0.229578889895245,
      0.360750855034163,
      0.590728530010337,
      0.317857284307893,
      0.335134572940288,
      0.294367586732887,
      0.282840534158094,
      0.442664676128706,
      0.261940248734015,
      0.468392114793457,
      0.345842597391056,
      0.475961026962732,
      0.384635833656632,
      0.477917140988196,
      0.547250453878323,
      0.439263842924336,
      0.531009776093973,
      0.638287176546162,
      0.492545687382327,
      0.387813391042851,
      0.37253910472963,
      0.419686306634232,
      0.255113822819151,
      0.221802429539496,
      0.283771677191679,
      0.438475367815922,
      0.308637308910155,
      0.299942532873747,
      0.404116034222804,
      0.206082440665383,
      0.547831361992706,
      0.312846575305756,
      0.335212439810236,
      0.0225986959405327,
      0.226293280931694,
      0.472888581604806,
      0.585978666005872,
      0.419214111416394,
      0.319526618546944,
      0.318991107044352,
      0.53992699213077,
      0.396935596063823,
      0.451379787606192,
      0.364068400076802,
      0.467657382377503,
      0.422499686752942,
      0.287936830627036,
      0.364510789950272,
      0.417589970329362,
      0.168798486452747,
      0.545176227520809,
      0.292600763346478,
      0.304055992501433,
      0.0681299643306876,
      0.213351539994958,
      0.555675592707685,
      0.372345144065291,
      0.470600396837263,
      0.382321575083852,
      0.514452208634654,
      0.56122609646112,
      0.332048701244664,
      0.422661627703148,
      0.373444749716665,
      0.598953356420031,
      0.52105457081903,
      0.586420757935108,
      0.542982818456581,
      0.380471148331955,
      0.49281229318524,
      0.470175196729241,
      0.456925437870264,
      0.241535337354089,
      0.29974530154971,
      0.506318623191341,
      0.258829939611189,
      0.40467272612514,
      0.395166945415076,
      0.266730204230225,
      0.344083567547118,
      0.182152287260351,
      0.446520919269875,
      0.328597562917684,
      0.421091438084131,
      0.445138584997925,
      0.407036468872637,
      0.550862040334529,
      0.454240437419088,
      0.434840199146151,
      0.38686431001804,
      0.344262771268693,
      0.45559696098438,
      0.58287089847281,
      0.560472214947051,
      0.466066109448965,
      0.327276400691688,
      0.439085645661357,
      0.467822035551137,
      0.284658560033285,
      0.362352814552311,
      0.209104903715608,
      0.288868243088331,
      0.367647884862453,
      0.402388342035218,
      0.368182390188015,
      0.29423539750295,
      0.201478574201667,
      0.529682600933302,
      0.308166486441665,
      0.46984339622717,
      0.330341062424461,
      0.406077473325204,
      0.389210920668795,
      0.534651296582001,
      0.410922224167564,
      0.489080136382657,
      0.370645586204632,
      0.412538480959167,
      0.505563717913807,
      0.460631747157693,
      0.504466489409184,
      0.335076916067748,
      0.321779223988679,
      0.496072460648446,
      0.492150234529732,
      0.291592904978585,
      0.361537844147992,
      0.340062485750397,
      0.446052152987754,
      0.445874640982272,
      0.462624603654017,
      0.372830047859216,
      0.39654238754307,
      0.482898728818056,
      0.467687284406474,
      0.253226207501617,
      0.32657398414526,
      0.184021814391952,
      0.498390132974794,
      0.304394419540205,
      0.339221209498205,
      0.377716810304369,
      0.212339946702835,
      0.491088061931078,
      0.562874240074215,
      0.248886831289647,
      0.43662610196995,
      0.16840628177649,
      0.449194942298801,
      0.448265451250374,
      0.476858850872386,
      0.379590094036765,
      0.177394943287621,
      0.445667460999457,
      0.507367720828853,
      0.256224739778586,
      0.37648760358619,
      0.237620483582099,
      0.399078919701315,
      0.39276722168864,
      0.410095559658018,
      0.395448263025932,
      0.425800982804043,
      0.538917163076348,
      0.578145007455581,
      0.289715444861224,
      0.417893443893655,
      0.346694586456609,
      0.327213504796726,
      0.553549882712308,
      0.290828401624928,
      0.455760605885392,
      0.498653723978114,
      0.419455250017167,
      0.460494749701054,
      0.538362239115234,
      0.554082422557027,
      0.440165062996879,
      0.526411390408031,
      0.510701305648434,
      0.461040009659115,
      0.300513307735755,
      0.376574609433441,
      0.18075722516865,
      0.484437726507748,
      0.234769082700721,
      0.318735317719021,
      0.310881619640312,
      0.361455768251764,
      0.434595784759219,
      0.279079395416727,
      0.502577846719018,
      0.454008075052113,
      0.579037082985975,
      0.508969582481104,
      0.273554571358399,
      0.385594387255143,
      0.326336615959457,
      0.314141368157384,
      0.598420080092449,
      0.367517794597528,
      0.509570182015082,
      0.384804263775756,
      0.26116999811211,
      0.522614986540723,
      0.330280401741661,
      0.388743511327377,
      0.282304839244168,
      0.289901963436821,
      0.460129862535895,
      0.263274059850369,
      0.283162065573096,
      0.316552724989953,
      0.211277748300492,
      0.521222741240604,
      0.335895189112993,
      0.163588030442066,
      0.378049960746031,
      0.33533078108349,
      0.427770125527206,
      0.424168888910969,
      0.326088989232389,
      0.342792063423948,
      0.40613596801772,
      0.519741966689973,
      0.309547902720953,
      0.528237963563254,
      0.346273710394988,
      0.414328324800578,
      0.399055125274313,
      0.487319263253267,
      0.443051480496228,
      0.402819749130086,
      0.517612246948303,
      0.51269156968728,
      0.432797105134575,
      0.378692931117673,
      0.4090132571002,
      0.590535633920704,
      0.314576925370142,
      0.447763506246866,
      0.368998207387216,
      0.466439148599438,
      0.58596709121603,
      0.567082398859461,
      0.46551658515279,
      0.434295299431401,
      0.274509582854335,
      0.528213571029209,
      0.407391348089739,
      0.420004586477738,
      0.570021868366465,
      0.426107804118643,
      0.554593187939178,
      0.445573810350437,
      0.494571954282472,
      0.539543466933732,
      0.382475422202743,
      0.589818006993141,
      0.583049648192261,
      0.615762817034293,
      0.541750335889484,
      0.46156673948435,
      0.463019047418447,
      0.363114725979478,
      0.239323812694404,
      0.323779786717954,
      0.514290372273379,
      0.602809206661642,
      0.430124756062851,
      0.365352522758817,
      0.395849834606585,
      0.425419547406436,
      0.380691159354487,
      0.380574914844412,
      0.420682549758929,
      0.288910796996291,
      0.410235253805629,
      0.446572611909797,
      0.529877580649313,
      0.391459925582381,
      0.493951369783556,
      0.588546646240648,
      0.438073301468074,
      0.545972602645427,
      0.455960189387701,
      0.386864695908717,
      0.479648094593157,
      0.471680335230311,
      0.35732400887492,
      0.356319835107529,
      0.291946094715458,
      0.206760015599926,
      0.30979918976324,
      0.309585986723137,
      0.344341762229922,
      0.374223194546416,
      0.228542312771043,
      0.493176964916314,
      0.405805711651378,
      0.379329434375824,
      0.345523514947847,
      0.431569259146003,
      0.415167637094862,
      0.382970174274413,
      0.487968401708347,
      0.464127827088387,
      0.327325337064716,
      0.499718405763774,
      0.465348904293666,
      0.445263526545539,
      0.412992574247184,
      0.466413629364064,
      0.376358124348256,
      0.321882184751702,
      0.403572921527037,
      0.485975729135417,
      0.272760273723055,
      0.508600071537204,
      0.362751156284082,
      0.250990516185496,
      0.314417578654094,
      0.47434740949995,
      0.5519915419009,
      0.381466852896067,
      0.270067675752714,
      0.360280198043227,
      0.317252523206238,
      0.203248935557797,
      0.389069332649791,
      0.283394938291981,
      0.305740117241535,
      0.369827861538368,
      0.243596537501397,
      0.434665761492754,
      0.543820399462768,
      0.426859688745398,
      0.490853397429064,
      0.320894976836948,
      0.368909503722351,
      0.423834937915183,
      0.427080632321072,
      0.384942268598846,
      0.438925066928477,
      0.402095579312949,
      0.523717339526214,
      0.514955430100832,
      0.353397397792924,
      0.353606019015798,
      0.245964776656096,
      0.504403671849629,
      0.448147644467185,
      0.462131306198408,
      0.451844955926203,
      0.434776680431482,
      0.524532365732668,
      0.53953036729947,
      0.565208125284323,
      0.521222260498493,
      0.448244566181851,
      0.529411854574691,
      0.505192968734491,
      0.408351122322047,
      0.520205249200985,
      0.487401315037655,
      0.537562255088071,
      0.502515792184337,
      0.303964706987869,
      0.503251631325464,
      0.311292780554669,
      0.393253740397269,
      0.436426263038623,
      0.477131480062317,
      0.411616590050355,
      0.369778271041986,
      0.49707576425257,
      0.542788683721909,
      0.431428706376403,
      0.693070276283369,
      0.42854410894731,
      0.461488234615164,
      0.531231756832356,
      0.468948564392033,
      0.377930181139439,
      0.635717223057438,
      0.47188137591458,
      0.547466711486271,
      0.438765593761376,
      0.35668103152778,
      0.395945686101551,
      0.486770215496386,
      0.495964740416121,
      0.566028956250192,
      0.530828435090374,
      0.422494804638846,
      0.339274763232738,
      0.364965409601723,
      0.373423003614456,
      0.386886324135469,
      0.391593664127569,
      0.325562152097911,
      0.342788789115778,
      0.521334523935734,
      0.432207365100268,
      0.468158966215659,
      0.48411663100527,
      0.287835973083181,
      0.497164741578397,
      0.494405993118114,
      0.451059340646034,
      0.490102312277414,
      0.408026406573403,
      0.486805682421172,
      0.520646034484768,
      0.442870094825471,
      0.390062230033813,
      0.416557210406349,
      0.45723909321532,
      0.645833504277635,
      0.466318300288415,
      0.44094610983288,
      0.3723970703683,
      0.47868324264848,
      0.429435604884457,
      0.400517673727708,
      0.448298880988174,
      0.46581067535603,
      0.385806306523057,
      0.569131536893848,
      0.488159505487501,
      0.482973269012385,
      0.397110868889017,
      0.458811153702262,
      0.448376016311276,
      0.351468163113094,
      0.264149347138079,
      0.364768303867746,
      0.486866698845739,
      0.529272658914476,
      0.447869882696695,
      0.272606050515863,
      0.409714413166614,
      0.385606930679276,
      0.491381356750524,
      0.267255520134757,
      0.277495896743986,
      0.301100622918022,
      0.320048729600806,
      0.276172720776904,
      0.382320541160534,
      0,
      0.228982819178083,
      0.221643591158335,
      0.312737040945536,
      0.0141388288699727,
      0.323942922742875,
      0.234695913661476,
      0.314805104287183,
      0.17229896047566,
      0,
      0.41389530500346,
      0.100745328528195,
      0.0290705046827798,
      0,
      0.222018119936834,
      0.116185840116606,
      0.262077233953337,
      0.364282200998428,
      0.146761129401065,
      0.0666910537179985,
      0.178136148208348,
      0.0120435258217093,
      0.0411087108519625,
      0.0926473592513771,
      0.194519901344286,
      0.186943238264261,
      0.487370079548831,
      0.248423698848977,
      0.195806477943217,
      0.211196328020194,
      0.138789112538234,
      0.325050513609757,
      0.295842671950539,
      0.0242651039215753,
      0.219664865207095,
      0,
      0,
      0.488474255335441,
      0,
      0.00940125989799278,
      0,
      0.210583216032824,
      0.174741833188497,
      0.128577826084388,
      0.440612406394489,
      0.235480715201072,
      0,
      0.484148986899576,
      0.0835912970281475,
      0.115368249724821,
      0.206252100557705,
      0.312109445763671,
      0.531680460621743,
      0.286003435305201,
      0.304772807956981,
      0.286966434697967,
      0.292669228057421,
      0.366726755061833,
      0.238509044976837,
      0.469484730149554,
      0.322551909822682,
      0.465843930418402,
      0.332339409176101,
      0.45715082204676,
      0.476182080113703,
      0.359772505621131,
      0.548808866728662,
      0.416963939396822,
      0.521941903498937,
      0.339969577230428,
      0.354172020464731,
      0.368353154585828,
      0.213417602717667,
      0.122937903839116,
      0.264478045932852,
      0.452138151862464,
      0.281419419138641,
      0.326571469252664,
      0.333834349183185,
      0.192618588513596,
      0.541882132253307,
      0.354851256829399,
      0.311158875292837,
      0,
      0.260299785633021,
      0.4636989228542,
      0.573498262875168,
      0.339105659913389,
      0.54500308538684,
      0.287221223883293,
      0.539514093449116,
      0.394223326173605,
      0.511277069821366,
      0.360732996179735,
      0.500311348610452,
      0.425848134198442,
      0.262081193112148,
      0.370787941220542,
      0.455816015435257,
      0.190931773811059,
      0.488156765756098,
      0.240516734527093,
      0.256670590781051,
      0.0318669449120886,
      0.238619151333748,
      0.480482478676277,
      0.267041976627766,
      0.45267390421585,
      0.323320843199336,
      0.387035689300007,
      0.539929037687104,
      0.263562218432698,
      0.380695994852956,
      0.306911594589155,
      0.460833064340181,
      0.494458846382149,
      0.585108508413614,
      0.488672412566215,
      0.382188707181385,
      0.488741551716225,
      0.440780915955071,
      0.412504700131316,
      0.304935541805369,
      0.249438606912318,
      0.458410922446849,
      0.22479442482203,
      0.38101754367094,
      0.307020817005669,
      0.261761776914783,
      0.323925068059883,
      0.169910544249127,
      0.430997403463541,
      0.372900287270671,
      0.359150369663797,
      0.386835974788797,
      0.325562703688083,
      0.482332705568072,
      0.434412505200097,
      0.205127034438306,
      0.362141749765682,
      0.341599720337115,
      0.468185597837836,
      0.544969332279002,
      0.299955635107381,
      0.445884532305312,
      0.359435036638235,
      0.433933735330119,
      0.453938224528386,
      0.395130248027999,
      0.386633534685792,
      0.228908248258708,
      0.2806417764229,
      0.347229452035231,
      0.371735434061413,
      0.329068733343117,
      0.317377653044844,
      0.216647929015955,
      0.485599967797002,
      0.377480078635117,
      0.467636677867936,
      0.324084055719719,
      0.500319526828327,
      0.354098229979775,
      0.506466961528083,
      0.483221882644745,
      0.37826909962488,
      0.381099754463114,
      0.385265373457639,
      0.500882135385721,
      0.410393930082491,
      0.452953546761377,
      0.365334768454344,
      0.264922499618726,
      0.460039521452524,
      0.490134173340303,
      0.378008827083162,
      0.447542547486114,
      0.540515208308907,
      0.553240143285998,
      0.506772334781414,
      0.510039943998873,
      0.353698481077015,
      0.441373456061673,
      0.486654576615735,
      0.466597955669582,
      0.221161570595488,
      0.357305857008612,
      0.156474664297398,
      0.499732186942822,
      0.275490668324526,
      0.33634607029434,
      0.350212020057987,
      0.173082495844714,
      0.512945382795464,
      0.550714603409608,
      0.220977639152322,
      0.36972652042168,
      0.155563424397869,
      0.442042598071702,
      0.41169482304218,
      0.183249524715039,
      0.369307781379515,
      0.186355842267972,
      0.427384682561169,
      0.523380184653685,
      0.212717996419227,
      0.375390821396934,
      0.216525266273246,
      0.418363518007381,
      0.331109913293476,
      0.402827619183027,
      0.361251343701515,
      0.421451277730563,
      0.553826323559216,
      0.559205942983885,
      0.37916378327975,
      0.371981009940611,
      0.359004287095731,
      0.335410430209946,
      0.509811941156918,
      0.262155941000093,
      0.399424042221978,
      0.613455502428411,
      0.355832067156939,
      0.469448263307099,
      0.554895258171253,
      0.588477330432704,
      0.451465943615655,
      0.508294981648467,
      0.477079155388328,
      0.386167777070778,
      0.441412672838138,
      0.383549135089765,
      0.176476333295776,
      0.499405283075836,
      0.219844133758555,
      0.315726554505172,
      0.34720273254383,
      0.298104911116455,
      0.38829909351173,
      0.260036688666061,
      0.299912201640643,
      0.358122724392094,
      0.539101614578208,
      0.485969689914206,
      0.428885470876224,
      0.385917071198574,
      0.290791051055505,
      0.345333970368082,
      0.665653225475791,
      0.472161158143478,
      0.374350435139774,
      0.39653893056633,
      0.299307800582289,
      0.539570034216839,
      0.332861316086921,
      0.605124782550707,
      0.332549059238129,
      0.466052467975109,
      0.564088984192756,
      0.249014055677863,
      0.311014519685057,
      0.385957588994865,
      0.205554638109994,
      0.51518553008971,
      0.347256013638359,
      0.150723319292634,
      0.371719800136509,
      0.423718266375864,
      0.547463906558224,
      0.413260926873519,
      0.405723468835572,
      0.323003787806606,
      0.456573739975673,
      0.507153575206883,
      0.278022892539206,
      0.444971685680978,
      0.310298970454675,
      0.389234422103255,
      0.418174025622723,
      0.478041622353038,
      0.439147603164937,
      0.449598514973447,
      0.61085813937689,
      0.513824509433443,
      0.425118474460151,
      0.393068977361775,
      0.364835883508688,
      0.36592951205535,
      0.306316087587794,
      0.368935357230281,
      0.399586455298074,
      0.512919908985913,
      0.415303410292847,
      0.516579489458331,
      0.47266911564516,
      0.406964479391756,
      0.232699774907433,
      0.503952578231367,
      0.35323942429688,
      0.438449575046843,
      0.545398171606411,
      0.358148701103887,
      0.531259245495306,
      0.405672014612559,
      0.550422818195704,
      0.523115201383588,
      0.463245789735184,
      0.648566394125229,
      0.658591360863585,
      0.412779878599154,
      0.507181140044924,
      0.460715270757904,
      0.394205219124677,
      0.352626604801062,
      0.214447788105145,
      0.271485826361513,
      0.406898455004567,
      0.614761166253964,
      0.332292151831236,
      0.352744848317334,
      0.357541165340596,
      0.364394387279642,
      0.358181941352455,
      0.29608799932303,
      0.279964144734092,
      0.264052518752039,
      0.400714684150546,
      0.37942742532756,
      0.422737183416455,
      0.36151178564119,
      0.457561608307521,
      0.489108303577421,
      0.438180487963229,
      0.478309975715676,
      0.46935269635505,
      0.487862582765998,
      0.471416131877739,
      0.491535540194631,
      0.364306546631061,
      0.377969312092905,
      0.252406807609296,
      0.207196124186087,
      0.318867098262373,
      0.372494100784692,
      0.374016535991832,
      0.389935985671265,
      0.262005363217621,
      0.469315764889277,
      0.380213414603291,
      0.337499641610598,
      0.366413640707369,
      0.410944867853143,
      0.386969430458461,
      0.33884754058371,
      0.415918554792947,
      0.442720384536116,
      0.379796624286965,
      0.527833565814674,
      0.449925781899945,
      0.400944855850879,
      0.410112487348966,
      0.443879477816408,
      0.342499065854505,
      0.365743591517117,
      0.354798260100294,
      0.488782489409155,
      0.305664661257769,
      0.424021854876836,
      0.35707066124322,
      0.244198716127589,
      0.297133552496452,
      0.472627261080907,
      0.526508032228576,
      0.314618163326224,
      0.293268489308224,
      0.289272287659678,
      0.280423423100999,
      0.284696973727534,
      0.370187019661025,
      0.322030416464434,
      0.245830945206093,
      0.418047579636831,
      0.248955258660801,
      0.407250996467231,
      0.548491722615247,
      0.37862340784852,
      0.409380704853791,
      0.365795910927974,
      0.379420872179395,
      0.420124395327769,
      0.418093497397454,
      0.366511109833865,
      0.406710984259069,
      0.413500984296007,
      0.510142344052754,
      0.444524362688033,
      0.325799702259497,
      0.281542077383157,
      0.248035710663315,
      0.518305917052796,
      0.369609746773663,
      0.433126873234846,
      0.42826108792121,
      0.405698283984287,
      0.518553016395097,
      0.543532260244074,
      0.520188059594091,
      0.482024629830381,
      0.451465947594664,
      0.537166466443088,
      0.503503219542371,
      0.463260839076673,
      0.464950424935425,
      0.440283571089727,
      0.607378112652534,
      0.515481606966512,
      0.326101125254801,
      0.510111236223894,
      0.295977974092474,
      0.364908070338595,
      0.460509319130757,
      0.426334973250879,
      0.449568664276356,
      0.390828970504774,
      0.46213527715588,
      0.538386772245401,
      0.432907062948228,
      0.632594756383801,
      0.555384657963655,
      0.561982551798957,
      0.515070365628662,
      0.467880844940179,
      0.327884456274617,
      0.602959598015882,
      0.549597548149294,
      0.536494271636512,
      0.398682051179129,
      0.3561906608929,
      0.519003863217517,
      0.273718851165779,
      0.496953421192028,
      0.548575813259634,
      0.41213297861415,
      0.408803038864614,
      0.342230712904519,
      0.355700335589614,
      0.350811498558939,
      0.372653060708086,
      0.387161472642234,
      0.318207147621358,
      0.298390899404013,
      0.501511168897967,
      0.438690830561782,
      0.404005945609058,
      0.494509945761078,
      0.384053266480584,
      0.490479585798545,
      0.587847771791471,
      0.59703730229234,
      0.50392025773191,
      0.406604748641682,
      0.490792530177696,
      0.543954201697737,
      0.417306458827931,
      0.436531189187108,
      0.459417168090228,
      0.446879268985566,
      0.422118194590862,
      0.450915015902777,
      0.437283163868361,
      0.356470153068605,
      0.449187728752835,
      0.537486080032228,
      0.38385209606864,
      0.361180320202466,
      0.391412877767594,
      0.39725550900079,
      0.520034153636302,
      0.503650088239176,
      0.613972167668467,
      0.403072910737192,
      0.401331985852036,
      0.450983503968372,
      0.321720449019959,
      0.278636805577605,
      0.356186305029293,
      0.52222612950687,
      0.475463474809989,
      0.451034167769999,
      0.276753560961854,
      0.413103205254944,
      0.525060841612942,
      0.461384052751274,
      0.300649119474156,
      0.289857137215334,
      0.303610595766676,
      0.294283104058928,
      0.26085610856031,
      0.39595042244904,
      0,
      0.192489176769625,
      0.183525246231451,
      0.269851062643443,
      0.0129476577784313,
      0.264934545764164,
      0.105376442962524,
      0.282689525510279,
      0.124389648521061,
      0,
      0.439184193243504,
      0.0959357267007791,
      0,
      0,
      0.225144902361399,
      0.111308781835973,
      0.186434652877297,
      0.281776313088287,
      0.122343793337147,
      0.0358110609031804,
      0.124279536637755,
      0,
      0.079241815079654,
      0.0718112614163754,
      0.229882963903866,
      0.160937607290528,
      0.451677724604746,
      0.21383127201586,
      0.209188481468761,
      0.181302174614847,
      0.116905786017901,
      0.351401922152942,
      0.350063339928319,
      0,
      0.257449787024601,
      0,
      0,
      0.410791835684534,
      0,
      0,
      0,
      0.246604780701967,
      0.247452073868413,
      0.080049045538414,
      0.24854430975863,
      0.24722355115315,
      0.0227422291903554,
      0.466568849092407,
      0.0480277993949713,
      0.173216997243206,
      0.140759493830875,
      0.325113411452179,
      0.565288689351143,
      0.27532266695631,
      0.378753025567482,
      0.326406849408633,
      0.261971369240283,
      0.420303486683293,
      0.244055907752671,
      0.500034902764761,
      0.33301544017834,
      0.505326621984895,
      0.358255417663167,
      0.489507394221303,
      0.492505579312249,
      0.409310038362697,
      0.454553190034194,
      0.447003597946542,
      0.351401168910382,
      0.330461604637039,
      0.342730143373204,
      0.321142581614926,
      0.134494874916975,
      0.256268125216551,
      0.30303040883944,
      0.450144362438878,
      0.233840253194274,
      0.246474122934954,
      0.357934240226347,
      0.21729250201512,
      0.521155814753962,
      0.242780112700065,
      0.372014168342985,
      0.00321127908499779,
      0.234517368466505,
      0.45236452220461,
      0.356367138489307,
      0.352621574573643,
      0.483324838301341,
      0.292408942738299,
      0.526629632756743,
      0.283535325223846,
      0.550883482981682,
      0.378872869773991,
      0.327750854797025,
      0.402418735337366,
      0.225098561786182,
      0.341727164342443,
      0.399448368404079,
      0.138982066317449,
      0.517351852247821,
      0.198683680538651,
      0.348897783637604,
      0,
      0.228022992233105,
      0.470716856532966,
      0.232566433868184,
      0.442552965015051,
      0.323697819551258,
      0.382691928270764,
      0.458592778737275,
      0.245981112735597,
      0.389513497418224,
      0.293707968538113,
      0.389666508472664,
      0.453022338341506,
      0.50196797316504,
      0.388985339796682,
      0.370619132584658,
      0.484139896270453,
      0.447118701060845,
      0.348120974361847,
      0.305906498226767,
      0.222708438725851,
      0.405570861513172,
      0.246101244342136,
      0.361696657620982,
      0.377223968768617,
      0.292134167489161,
      0.298031539468138,
      0.153783473227807,
      0.393773876652181,
      0.223127920363761,
      0.323883031416607,
      0.393483568634178,
      0.290907866360918,
      0.441575203449408,
      0.482696094648667,
      0.363307295804566,
      0.324705615122343,
      0.239088493602317,
      0.408156616788718,
      0.305951160163065,
      0.346696821369312,
      0.487498666640673,
      0.361844099854192,
      0.445308395836447,
      0.474757077320706,
      0.225418226822389,
      0.423823596858779,
      0.222591520378905,
      0.260664392262508,
      0.350420890142563,
      0.386607899978556,
      0.330788635054158,
      0.30332960266105,
      0.229982905293283,
      0.549806103911938,
      0.407875799557081,
      0.422839185954225,
      0.367502594244,
      0.337004074244285,
      0.318661095583494,
      0.388175549153484,
      0.358920542096042,
      0.408531187474779,
      0.34137026152611,
      0.314597723487956,
      0.467188347274323,
      0.387574508533803,
      0.463291903209402,
      0.37389776608326,
      0.328198524213018,
      0.435625537850558,
      0.510923510128727,
      0.238785765378606,
      0.449618900406025,
      0.458592280438414,
      0.463598613591109,
      0.351572902461244,
      0.16087233482551,
      0.368998232790386,
      0.335388097747832,
      0.407188131865298,
      0.479021072047505,
      0.221837843519737,
      0.355523613050217,
      0.17348409694758,
      0.511156232411437,
      0.236435654266194,
      0.193489141138669,
      0.321851394004965,
      0.186155110958936,
      0.434926920547788,
      0.462797285486196,
      0.259417589909726,
      0.361270751859431,
      0.141549714855533,
      0.404859289453048,
      0.442403133268006,
      0.405232323208452,
      0.380389971824356,
      0.180245633193031,
      0.445468843038226,
      0.512967879937946,
      0.19191719393501,
      0.371327056118704,
      0.210328918966744,
      0.434523874162482,
      0.305295405171552,
      0.317027383026597,
      0.355010501437172,
      0.321086551380337,
      0.369826288249967,
      0.527541026602242,
      0.357527531202171,
      0.344488014700315,
      0.429699821926264,
      0.461406481899785,
      0.452911722657241,
      0.204488922726733,
      0.413769264897155,
      0.515071145081458,
      0.478565732250338,
      0.4359423666213,
      0.373493107847111,
      0.395194867491134,
      0.377511867964864,
      0.313229567530501,
      0.42658617567585,
      0.266789930315957,
      0.387528188702395,
      0.392812956995014,
      0.182668301492125,
      0.527935538044889,
      0.253076890611792,
      0.36450673479447,
      0.294415054935043,
      0.322713407471149,
      0.420864290123204,
      0.230110121559627,
      0.503817368035231,
      0.427561260146192,
      0.291504174659046,
      0.505565499300149,
      0.331070598176665,
      0.481588036738127,
      0.253051985044344,
      0.347297017578517,
      0.518034478348251,
      0.386842312232883,
      0.336952427621255,
      0.362149607526162,
      0.299068976783752,
      0.556849437365144,
      0.317621794762445,
      0.465741624112274,
      0.312267049388867,
      0.375617226477357,
      0.368262382114479,
      0.254186418351951,
      0.275600355209974,
      0.330108193960617,
      0.161546325308322,
      0.5206188049041,
      0.287231588840678,
      0.196374814695604,
      0.304283810027193,
      0.318665781665723,
      0.370760115494925,
      0.399642003607863,
      0.260628518773128,
      0.330688512223069,
      0.368862148358885,
      0.500783997708024,
      0.303793722010384,
      0.464175545576445,
      0.328088388339176,
      0.371730292920342,
      0.417173162147437,
      0.442103256339517,
      0.425177117664506,
      0.367636542708908,
      0.531177071435959,
      0.473999630664775,
      0.408697596801289,
      0.334671233911165,
      0.314103150787518,
      0.54959763698527,
      0.294729739519939,
      0.468890504535759,
      0.309474163406826,
      0.373762002150084,
      0.557365456047508,
      0.42998649330739,
      0.429012499741664,
      0.398959904952047,
      0.235394073631036,
      0.47630532436483,
      0.342596850203876,
      0.398091349118186,
      0.499153751265255,
      0.323706380185021,
      0.456717073553511,
      0.419120804018786,
      0.506428856954484,
      0.47619945895699,
      0.317807059241093,
      0.497515124955966,
      0.4544890962156,
      0.511671167190181,
      0.497014708734473,
      0.474374039898933,
      0.319246229041947,
      0.273176765572417,
      0.216560320278209,
      0.305783965910806,
      0.432978465689775,
      0.56412696767465,
      0.342949360082053,
      0.31549822180036,
      0.317525574956911,
      0.410951190489083,
      0.377083994314178,
      0.279307071469202,
      0.32246665489195,
      0.256106900928041,
      0.405465365403315,
      0.464910841238218,
      0.34334370807873,
      0.348491154751075,
      0.382138032298479,
      0.487243192013758,
      0.455391720362166,
      0.383887785631595,
      0.459248779744267,
      0.403045520480469,
      0.445841475409965,
      0.519556815108776,
      0.338964423645915,
      0.381195737505978,
      0.276841859538699,
      0.161500954379591,
      0.344192536591333,
      0.259679805588132,
      0.386897066358381,
      0.336930017277051,
      0.22547833193782,
      0.494192399503698,
      0.395681865289881,
      0.323969213571968,
      0.31693951151208,
      0.450743635758186,
      0.346985987714666,
      0.311867447706765,
      0.456534088855284,
      0.427061565838383,
      0.329291474854253,
      0.534038125456723,
      0.428875558244308,
      0.417441334456704,
      0.391004451360909,
      0.44362946065033,
      0.326986145230722,
      0.330638236558774,
      0.305361336399811,
      0.444771927987331,
      0.289366205380825,
      0.424614070942115,
      0.348947598448757,
      0.290303443765387,
      0.312841405174204,
      0.492680443996473,
      0.501651375867828,
      0.346237358736648,
      0.229647495170842,
      0.249952535928193,
      0.293516223989594,
      0.237482680761695,
      0.351469752615935,
      0.215947417159223,
      0.244215024266576,
      0.439974616785866,
      0.228174067764463,
      0.360379371847796,
      0.552527935213439,
      0.391369060810042,
      0.346560687399006,
      0.298632452183634,
      0.354230015918818,
      0.414682292863228,
      0.377724115883549,
      0.357074705645554,
      0.452836112289836,
      0.375884189993506,
      0.57542022277818,
      0.424850176301957,
      0.336130991443506,
      0.2215248126863,
      0.241844334736948,
      0.54615382960128,
      0.39343573872771,
      0.368325586015824,
      0.385995568404497,
      0.342011515175402,
      0.466577424139459,
      0.469102886351108,
      0.458534961339887,
      0.455527050128308,
      0.377777594380984,
      0.506057299185104,
      0.491265759079259,
      0.461084699324157,
      0.458595772944783,
      0.435679611685221,
      0.504460088045484,
      0.485634419382708,
      0.328827745577305,
      0.431024535703978,
      0.343993369877602,
      0.3428415254541,
      0.422616169201561,
      0.437674576791184,
      0.527091890627112,
      0.425531845238978,
      0.437625755464014,
      0.494833966210856,
      0.401834703177615,
      0.46599874479085,
      0.634821755348814,
      0.494940260641571,
      0.5551847612666,
      0.469556681295881,
      0.374730097750652,
      0.374904871800659,
      0.33952217892941,
      0.519868250835803,
      0.415972693927461,
      0.403978477326466,
      0.535995410243583,
      0.415390786376409,
      0.504199378063916,
      0.52499276297077,
      0.44092269506628,
      0.386645836760614,
      0.336577264425672,
      0.396789352252586,
      0.335631851887962,
      0.370337505707479,
      0.363095388385785,
      0.360724181123974,
      0.299872111169325,
      0.503401309577877,
      0.415309102004881,
      0.377476576131449,
      0.480254755344965,
      0.303670934019686,
      0.456101237523575,
      0.570698131969526,
      0.54453164642948,
      0.44160552027577,
      0.345903537060103,
      0.496038737052981,
      0.44513166545201,
      0.438240346064692,
      0.509634579100061,
      0.455434029791962,
      0.461429873589939,
      0.416465866704469,
      0.444287286125687,
      0.414432935960686,
      0.362142120378992,
      0.440453408564908,
      0.37822591956593,
      0.368274183760745,
      0.367896064905401,
      0.338096050563118,
      0.378328456805402,
      0.524449359669849,
      0.423448609620179,
      0.477009094335325,
      0.357245134480367,
      0.301820848160656,
      0.484819176267528,
      0.327463039968942,
      0.292607056509018,
      0.401165601217615,
      0.371076221944852,
      0.467880329685657,
      0.43862374290763,
      0.301857176547959,
      0.314898744460405,
      0.376295158111889,
      0.506243133645426,
      0.310369143543719,
      0.2996760573558,
      0.337564268170873,
      0.360764636472489,
      0.21979491814404,
      0.383100351185895,
      0,
      0.168223580617748,
      0.144627879720348,
      0.185745012517591,
      0,
      0.229304624299556,
      0.0864314757257657,
      0.285187111955454,
      0.173458680664698,
      0,
      0.413232400276868,
      0.0780023954215635,
      0.0241348213568431,
      0,
      0.188639554025848,
      0.100463986145635,
      0.0358687832063603,
      0.257850115069725,
      0.100833375538456,
      0.0607181307402088,
      0.156689716185963,
      0,
      0.0570574718074426,
      0.0260448692713568,
      0.228767672745822,
      0.15683498356852,
      0.450769797805123,
      0.200839851972861,
      0.229689481352409,
      0.196940118529522,
      0.0366614216017355,
      0.318719242518408,
      0.251882321788669,
      0,
      0.284959977662616,
      0,
      0,
      0.399585578944879,
      0,
      0,
      0,
      0.174818304111047,
      0.253340262981818,
      0.061209159985623,
      0.303690051808733,
      0.237414530071723,
      0,
      0.405193944248731,
      0.0525467016386564,
      0.218561763483507,
      0.0613660980668215,
      0.265263882662109,
      0.564117177859223,
      0.249041035013659,
      0.325262994564401,
      0.347265569556118,
      0.239295053311571,
      0.454390579304912,
      0.234001671020349,
      0.499986630296556,
      0.334240486500632,
      0.513046177343634,
      0.365167606214119,
      0.465614674793869,
      0.514920551589101,
      0.427895799661187,
      0.471935111341828,
      0.508993776665786,
      0.500710942941841,
      0.478753259480574,
      0.35098555098514,
      0.349977978722616,
      0.141517936666653,
      0.219373587043136,
      0.29891210047775,
      0.36767757330318,
      0.200948661336206,
      0.351076610757282,
      0.346324969210675,
      0.248411222168989,
      0.549054336310921,
      0.246722043961442,
      0.372969613131132,
      0.0539191148864499,
      0.27587829974564,
      0.395725161871392,
      0.523002941266194,
      0.324148082019681,
      0.248669575555044,
      0.253538116974834,
      0.563597554032057,
      0.371592266115878,
      0.396967107040394,
      0.343426932125153,
      0.340882655826353,
      0.372295196554007,
      0.193750161042802,
      0.346561120544194,
      0.411793873900738,
      0.270579698763364,
      0.528870106969011,
      0.218590718401604,
      0.329172468075941,
      0.0374268672162443,
      0.22373846842037,
      0.454403423115477,
      0.222724561323823,
      0.417383989700901,
      0.301837723804921,
      0.444811937258153,
      0.510800241291944,
      0.261835440570333,
      0.364515616614334,
      0.302559241438659,
      0.429571747884491,
      0.490203521472954,
      0.573891606911054,
      0.444433842086418,
      0.353933842048222,
      0.445222000476618,
      0.450896446965874,
      0.339764812898413,
      0.27332312656049,
      0.251075069367241,
      0.371929948443798,
      0.281259032549971,
      0.345941103305574,
      0.367652313595407,
      0.319946199028489,
      0.301065173723707,
      0.139755937757055,
      0.381810403511441,
      0.312547739566883,
      0.286950029482648,
      0.355661080338433,
      0.2643189963919,
      0.407576265743381,
      0.479717613121774,
      0.346918538366051,
      0.359374128619704,
      0.311828794569085,
      0.409650663762267,
      0.309032457952787,
      0.367592135814996,
      0.467080058185618,
      0.280406001194543,
      0.415379451584497,
      0.509478152528753,
      0.307059655174903,
      0.373987567725949,
      0.23402761112414,
      0.273734683971536,
      0.313329444849695,
      0.336201569214652,
      0.286487249045248,
      0.292490175171569,
      0.195341376884074,
      0.541806396777521,
      0.353177513548939,
      0.442712022719296,
      0.358064203105818,
      0.487646633986995,
      0.281598124124311,
      0.372767895782563,
      0.355458647628141,
      0.334838374862498,
      0.353938773353125,
      0.364421730506032,
      0.417698007719722,
      0.395882002344219,
      0.481922348961341,
      0.358473850974391,
      0.293803941837317,
      0.531560624410299,
      0.532583591318077,
      0.293349252220203,
      0.331905014424578,
      0.227076514521256,
      0.449950093109393,
      0.315775959977765,
      0.16476678476628,
      0.342562874645272,
      0.27660677166746,
      0.39975308122288,
      0.456348225524057,
      0.256682529253933,
      0.371385739493211,
      0.127047001803581,
      0.527440006050333,
      0.223891166369841,
      0.30004375627518,
      0.358201705721172,
      0.174880881381603,
      0.419647073558551,
      0.475758911726666,
      0.289500144403989,
      0.354147766404254,
      0.135880700145467,
      0.418595335804829,
      0.442001623615903,
      0.444691546712266,
      0.392481655453503,
      0.148215800988668,
      0.474347682195977,
      0.472402069626852,
      0.181751607187431,
      0.364073646584711,
      0.189620301998107,
      0.440563280147212,
      0.323606422755739,
      0.302789610437209,
      0.397495816845699,
      0.31185970672353,
      0.355339775601514,
      0.534237555241781,
      0.247567053672721,
      0.344180194052158,
      0.606561091699218,
      0.466555644225065,
      0.452932767006746,
      0.194820599884682,
      0.405460095375136,
      0.409350417199579,
      0.584064414167055,
      0.41203825443165,
      0.392454235216936,
      0.387204310790283,
      0.383619287365139,
      0.346021781502328,
      0.404345490546327,
      0.36271741812957,
      0.311074226492126,
      0.361713039608589,
      0.139059012335569,
      0.534473737446176,
      0.25591351597355,
      0.364311575067503,
      0.256798663484873,
      0.259282783562689,
      0.376221002388541,
      0.273718177261479,
      0.436434821168492,
      0.417864984981297,
      0.401142498077275,
      0.504317133064516,
      0.26036481164572,
      0.551481667077859,
      0.272660170414361,
      0.622385332385695,
      0.5206048284927,
      0.267033561551205,
      0.380359389896421,
      0.342114127687937,
      0.305686082071245,
      0.547319877037854,
      0.374127743487886,
      0.367525246415814,
      0.306708063303293,
      0.18548870664697,
      0.358038228166915,
      0.260470025645493,
      0.267770634943955,
      0.310706006561429,
      0.172648782804571,
      0.53329019237448,
      0.344549706865656,
      0.211565317258625,
      0.28952650879961,
      0.259812643928988,
      0.371124743941844,
      0.368651316163045,
      0.312601810087108,
      0.321632042729722,
      0.38986509201685,
      0.488378410470197,
      0.286599888199876,
      0.478756241558692,
      0.319724982271993,
      0.379269601458011,
      0.420251587124974,
      0.404287473477955,
      0.420343478218269,
      0.398293297791333,
      0.475758527093673,
      0.429446133630391,
      0.408273107299401,
      0.330821810112774,
      0.297695567933647,
      0.567127019863766,
      0.285442266687267,
      0.460376452589862,
      0.349854381193465,
      0.334042246523807,
      0.532593372200573,
      0.60198064692924,
      0.420408081153939,
      0.36055158748533,
      0.244429573380761,
      0.419266499311813,
      0.344346454955455,
      0.395932422707133,
      0.500180753660589,
      0.271667875580018,
      0.464077156084618,
      0.454820398523653,
      0.503815299155155,
      0.458579702601566,
      0.400436731797713,
      0.545216499667879,
      0.43203622277532,
      0.531746927254125,
      0.487680796589391,
      0.403151594357086,
      0.326299658611428,
      0.383450946333391,
      0.228616220567855,
      0.294078579937123,
      0.419470278355814,
      0.480758924314685,
      0.318939192969107,
      0.343526045711173,
      0.388004523746246,
      0.409341110193372,
      0.368745223847668,
      0.27377446526548,
      0.29328538478951,
      0.292594319182706,
      0.38032771773895,
      0.445278427196664,
      0.366579695628966,
      0.361843874429189,
      0.390198134199807,
      0.498911627457638,
      0.448631027726211,
      0.353727921232795,
      0.465912941005227,
      0.342779946297331,
      0.431864368108018,
      0.495616204526765,
      0.360089077800351,
      0.376949889975618,
      0.266897431879875,
      0.191335248384408,
      0.354024519180655,
      0.345469368364176,
      0.364500788263929,
      0.316085540122757,
      0.291540043597995,
      0.514043153266856,
      0.364640781330347,
      0.298198774209252,
      0.297742814570694,
      0.295696060927513,
      0.349025868144808,
      0.271258283720367,
      0.439560703552068,
      0.358897409055223,
      0.366720497120331,
      0.499990816682769,
      0.488841607608032,
      0.41406632600514,
      0.350014063097661,
      0.484401473894992,
      0.338572477382873,
      0.334106567633744,
      0.271069935582376,
      0.433087932021793,
      0.254535990262735,
      0.447540963874192,
      0.327493422915134,
      0.294050980325231,
      0.32430134670543,
      0.52264085421962,
      0.485732294234866,
      0.323137337386256,
      0.298211521628066,
      0.243985891622975,
      0.226737665477169,
      0.260306617245643,
      0.356149673091203,
      0.278787355231378,
      0.257901974146284,
      0.299503757876247,
      0.193373069131159,
      0.333427330214505,
      0.529079472610858,
      0.332869016854332,
      0.324700534507151,
      0.32339585825634,
      0.364629233419621,
      0.423782849864807,
      0.381055401078941,
      0.340166110635633,
      0.442638226257737,
      0.405912902237761,
      0.513101881307922,
      0.44610797077964,
      0.350440084758793,
      0.170432717120445,
      0.227821603889419,
      0.475358879581823,
      0.374131700822596,
      0.317213738878741,
      0.406026448552337,
      0.329199595359755,
      0.514664313664851,
      0.464526997107766,
      0.418196207527583,
      0.412473634865419,
      0.338450627709012,
      0.496450213863972,
      0.479651518834894,
      0.400633854224741,
      0.488742804694099,
      0.455122408063352,
      0.500426176300666,
      0.448495746010591,
      0.305313104745609,
      0.430923277122671,
      0.357263446224615,
      0.358694009863132,
      0.373206811165512,
      0.407709779648832,
      0.408578585034857,
      0.404772660513491,
      0.396816014778656,
      0.501650001256055,
      0.341822821044146,
      0.539003154181083,
      0.477479900778415,
      0.442333368763127,
      0.534324145867302,
      0.488517297840462,
      0.401906167398008,
      0.444751997643352,
      0.480332730555567,
      0.486292167035142,
      0.373721655503996,
      0.407290947948171,
      0.369156900883032,
      0.367048766931318,
      0.529567077654791,
      0.533257689164959,
      0.39070194036618,
      0.367739746630434,
      0.326968469968296,
      0.370974196030547,
      0.347706128677816,
      0.340478564818704,
      0.36921644915086,
      0.290800793570891,
      0.317471603599845,
      0.521781915645016,
      0.409348384772081,
      0.460876885142028,
      0.529506380344738,
      0.25731612716474,
      0.410347924563767,
      0.555133111320347,
      0.439975534387909,
      0.413480206613739,
      0.340104247186108,
      0.530952934134391,
      0.537600196608252,
      0.432824695094958,
      0.402681774618878,
      0.42941232834532,
      0.490434023367079,
      0.509938783745261,
      0.537768633887853,
      0.511827313260253,
      0.337438230946038,
      0.430099563363445,
      0.371441774019564,
      0.351765647915696,
      0.359880527186096,
      0.356324208649905,
      0.387371766996608,
      0.537331812392074,
      0.478965978983855,
      0.341083757355418,
      0.460648872831164,
      0.480838566329321,
      0.521717302839325,
      0.479087236708998,
      0.422924283862231,
      0.44622009608962,
      0.352889173326093,
      0.495558366685195,
      0.499139300219546,
      0.328386571058965,
      0.294316772995564,
      0.317402394556247,
      0.491705486001632,
      0.321687872324203,
      0.273068448185648,
      0.416901377841421,
      0.424944020899196,
      0.225820443332811,
      0.374575576663305,
      0,
      0.153849229407828,
      0.134541190640155,
      0.140995894683564,
      0,
      0.237039108093704,
      0.0688973543338717,
      0.271852307114636,
      0.169787797114435,
      0,
      0.336153074193588,
      0.0301101943816402,
      0.0799076826321996,
      0,
      0.167447011173112,
      0.134286980300978,
      0.0354979317942521,
      0.289609944337194,
      0.0456103841731256,
      0,
      0.186261052303724,
      0.0145534473253636,
      0.044092417910279,
      0.0254152673514332,
      0.186858190803126,
      0.0863415173059885,
      0.415647339878056,
      0.179154452492529,
      0.264250412608596,
      0.202736294458555,
      0.0394226409161987,
      0.296439825584424,
      0.22996036623659,
      0,
      0.238884268323112,
      0,
      0,
      0.365485978999723,
      0,
      0,
      0,
      0.167450049176722,
      0.219693965075523,
      0.0688609575945299,
      0.192807221528647,
      0.193848423480916,
      0,
      0.418522139653839,
      0.0670625049282883,
      0.173852290329558,
      0.104836920709409,
      0.264491708120723,
      0.557766857578092,
      0.271525253911299,
      0.316856542002153,
      0.334770193232096,
      0.252355302303275,
      0.415659803446492,
      0.227462339195267,
      0.510580331436987,
      0.34449395504879,
      0.464012548998666,
      0.367615941251221,
      0.46396530983574,
      0.488545301001046,
      0.395551829454965,
      0.397252623376528,
      0.312486085838162,
      0.528708308762985,
      0.400518366321996,
      0.327670756883726,
      0.323739966625537,
      0.175648193063281,
      0.188360747383956,
      0.306564396016665,
      0.349218947922181,
      0.198830116164161,
      0.28539042619205,
      0.24461208317143,
      0.234880055969388,
      0.514484666292391,
      0.199155099758556,
      0.334527757295341,
      0.0800163848947251,
      0.320684381003351,
      0.422272834404568,
      0.463001786856168,
      0.362910151976579,
      0.33704153281619,
      0.254680828130985,
      0.538832537441827,
      0.354766920931573,
      0.441241435867979,
      0.298880143118325,
      0.345795481550633,
      0.366796152017706,
      0.221972883620058,
      0.293490931605873,
      0.41814282174069,
      0.253143631301303,
      0.517073113498719,
      0.234690727747762,
      0.224423998615998,
      0.0526912456582647,
      0.227244969377601,
      0.380339738022006,
      0.216233750293096,
      0.396690644374399,
      0.312741661548792,
      0.182075309055295,
      0.479971920182976,
      0.276241222898398,
      0.314261592804622,
      0.292700448398943,
      0.367424674982777,
      0.472294666990223,
      0.522234332012149,
      0.380828569253176,
      0.326291909437516,
      0.456915377905111,
      0.457562708785231,
      0.339673921626061,
      0.268844208676999,
      0.254915162762264,
      0.266404876512733,
      0.279143075630971,
      0.385083029511932,
      0.425043928459832,
      0.287273434693973,
      0.305271996918827,
      0.174881134232605,
      0.34170071700817,
      0.279014643922508,
      0.268655882529908,
      0.33717858470776,
      0.233055101574505,
      0.382764448783947,
      0.453846891129715,
      0.231385748339144,
      0.32434705132221,
      0.258007902407579,
      0.415067926721973,
      0.269495962703867,
      0.321228760221312,
      0.490808028770977,
      0.266757333756099,
      0.366439417926008,
      0.475904148190905,
      0.291965932721566,
      0.394122899984056,
      0.256327635193455,
      0.222712054541514,
      0.333628209081347,
      0.28889311023036,
      0.296647827948117,
      0.32055131054114,
      0.188446710109576,
      0.533906032360104,
      0.305795081735663,
      0.349821453363152,
      0.293706057332189,
      0.444915487715369,
      0.364151802215718,
      0.341972724707532,
      0.400625968370628,
      0.29349556266418,
      0.287734185890162,
      0.3070992353991,
      0.383850156116747,
      0.371856244798382,
      0.442239090253859,
      0.34309443319289,
      0.280022663757226,
      0.476390354822614,
      0.498264501013514,
      0.268968328345916,
      0.31177707862646,
      0.243259452357358,
      0.45189173118046,
      0.39654099419896,
      0.41246964890968,
      0.350476928176925,
      0.329443901746487,
      0.439605821227095,
      0.450262509755289,
      0.213459309960211,
      0.364737550380564,
      0.147452940778078,
      0.508854743616807,
      0.206998470693724,
      0.104777416988484,
      0.328190260501718,
      0.186077431916429,
      0.416024599195264,
      0.46755913986334,
      0.242788479991475,
      0.297223519642325,
      0.139013391561587,
      0.426823859872042,
      0.376801484071526,
      0.173808352731089,
      0.36410839265336,
      0.138541799177822,
      0.431395012464088,
      0.510099066040342,
      0.177309647045825,
      0.350404585212729,
      0.17731630590499,
      0.404869535183258,
      0.313721547163776,
      0.282899887381527,
      0.40248908911391,
      0.256255602790558,
      0.437518520924382,
      0.53998286674201,
      0.302843467752319,
      0.337663964615177,
      0.539011953463195,
      0.27267918994169,
      0.465807862491472,
      0.23237189444575,
      0.392152391688091,
      0.392055779437975,
      0.404593962566086,
      0.390563000778693,
      0.464605270390206,
      0.466598984587793,
      0.407344806599952,
      0.444952602218601,
      0.430469257652942,
      0.368350810329939,
      0.34927398315909,
      0.362257057402333,
      0.148282277959938,
      0.523925560414315,
      0.272680042720409,
      0.333794025551423,
      0.271271963870551,
      0.265210318202691,
      0.35382625067731,
      0.287644256505674,
      0.322426648599405,
      0.326221548349924,
      0.505978280800634,
      0.460206886802832,
      0.296473556329712,
      0.368871533558892,
      0.279812356297338,
      0.553546325099618,
      0.495720862503658,
      0.268738230573052,
      0.330049630573975,
      0.330036277035433,
      0.253008136619066,
      0.516136271571832,
      0.276000608445951,
      0.326145033846375,
      0.249229637279028,
      0.198529401858985,
      0.432759106113397,
      0.240616013408198,
      0.312043753268492,
      0.298115969515796,
      0.153592178519827,
      0.517140881020714,
      0.3074204802488,
      0.226566143515152,
      0.272569116033949,
      0.341752166278383,
      0.425969364637845,
      0.353775637181995,
      0.282736363606503,
      0.358595577234898,
      0.373323591896084,
      0.46897101283003,
      0.247996761563821,
      0.475794630728243,
      0.336841615171396,
      0.356043948216398,
      0.430333718431635,
      0.38401273491674,
      0.438972888775066,
      0.423560827786778,
      0.450096760092453,
      0.419601688196425,
      0.413981808744089,
      0.277011451168761,
      0.308804866127256,
      0.266459398289074,
      0.284410729753168,
      0.363188336368342,
      0.388041474142534,
      0.337859073605742,
      0.349879342345566,
      0.527594144191962,
      0.425055025643457,
      0.30248305066121,
      0.243796914368548,
      0.382657734161482,
      0.306375413644901,
      0.351127101478615,
      0.475130550496957,
      0.356436734584855,
      0.420723983127042,
      0.433875937254668,
      0.527113048408635,
      0.435574188977553,
      0.466817337262386,
      0.534612393562689,
      0.468370236169685,
      0.28338595377487,
      0.431006210431463,
      0.374566339074154,
      0.335296872444929,
      0.338460660428921,
      0.263935132003106,
      0.243720333968218,
      0.346705988976485,
      0.44534927416706,
      0.330591471245255,
      0.358042583376762,
      0.347525364804844,
      0.414084271130606,
      0.402125422725583,
      0.311380005569575,
      0.283747823484534,
      0.264967897982209,
      0.384584017349299,
      0.418183930432707,
      0.297410162343173,
      0.364026723056711,
      0.369228565282437,
      0.514549068797135,
      0.431482218721539,
      0.443564915866844,
      0.474982554047315,
      0.368445967755933,
      0.48757091500969,
      0.4879742898185,
      0.329129828848716,
      0.347734732563894,
      0.247587649695621,
      0.210677598791473,
      0.342298591572384,
      0.309511240321892,
      0.379387097129734,
      0.314134726218376,
      0.210939397012838,
      0.499935616449851,
      0.34261734414985,
      0.275345494490119,
      0.337983682739815,
      0.321644725502177,
      0.385517827337449,
      0.293305369653739,
      0.339204032138706,
      0.352575453721194,
      0.370260573101729,
      0.511262933212128,
      0.504892378191067,
      0.346306350117639,
      0.34478283791104,
      0.440096494148905,
      0.337208847785912,
      0.389224236441629,
      0.275611855879157,
      0.415574339435322,
      0.261851407259088,
      0.416030125522896,
      0.357125073432127,
      0.26898024378668,
      0.305307009860725,
      0.474511030288856,
      0.46948530282137,
      0.289122642190475,
      0.293403144821394,
      0.207627329042722,
      0.261925163533143,
      0.178705530685142,
      0.313789423844559,
      0.254713445509254,
      0.198775435582743,
      0.350625211577045,
      0.248840111058452,
      0.345991692852857,
      0.440672327691658,
      0.347709679727344,
      0.340430536046881,
      0.304026887728621,
      0.32332749041396,
      0.42850268781334,
      0.336971689584251,
      0.283867057854801,
      0.364534736800927,
      0.382606901291224,
      0.456807677096697,
      0.417514842706682,
      0.326564854460147,
      0.0922531800575035,
      0.231821571985623,
      0.506153735509911,
      0.330926660435961,
      0.287041820291717,
      0.345365601882749,
      0.380162814948078,
      0.517529064310993,
      0.45504890126221,
      0.394314670550389,
      0.435825602194662,
      0.365170035945034,
      0.508804864038548,
      0.460846248388323,
      0.411821328063303,
      0.447353055873925,
      0.443224848776293,
      0.488885894542258,
      0.39582419054697,
      0.321641814053618,
      0.425643573908234,
      0.346688268241433,
      0.391228834320565,
      0.366765508607858,
      0.384036793499487,
      0.417942824226928,
      0.407688979781554,
      0.400009307675178,
      0.466315583992091,
      0.305304696028072,
      0.458397158199205,
      0.539408313095022,
      0.461742502960282,
      0.476517379053249,
      0.482598376627316,
      0.349253547017968,
      0.399257691734437,
      0.501539515914594,
      0.513722235760333,
      0.408938261393064,
      0.421055904217929,
      0.387700209760118,
      0.288018350674219,
      0.457541535862961,
      0.5119618161051,
      0.356692294461672,
      0.35175301900137,
      0.313439295518318,
      0.35292037612128,
      0.336298166574165,
      0.30334437061902,
      0.328607488986357,
      0.335478049562307,
      0.284078176474626,
      0.503959621318847,
      0.420786512324044,
      0.448143918473019,
      0.534020562845323,
      0.362555918682484,
      0.470512601958258,
      0.542789435702784,
      0.50857387327079,
      0.404146058426773,
      0.327615738850041,
      0.513290658450435,
      0.529342257828865,
      0.431218929192828,
      0.40085742229267,
      0.381198281754687,
      0.50959228435808,
      0.498246898147378,
      0.532397153618163,
      0.512373065122034,
      0.350584909446908,
      0.425933630088324,
      0.397832674691855,
      0.362293167490995,
      0.306304563976404,
      0.322616073471114,
      0.394123060352058,
      0.541569722785346,
      0.48682067024902,
      0.337452472494815,
      0.456907836037332,
      0.459502690031457,
      0.505621187818019,
      0.477452917970638,
      0.443710190636616,
      0.444297314744349,
      0.325669319485506,
      0.466538811073486,
      0.449410347692951,
      0.28760723084669,
      0.327027413716822,
      0.344917450159779,
      0.476658223809599,
      0.307611297370972,
      0.300891911107308,
      0.415321136517299,
      0.383017619818151,
      0.185086527309412,
      0.406646395745507,
      0,
      0.119100299411888,
      0.114100998871991,
      0.0640717225203034,
      0,
      0.220835749561158,
      0.0404546620730372,
      0.185036135782897,
      0.14878032832976,
      0,
      0.354138265086565,
      0.0251794539838178,
      0.119736878440449,
      0,
      0.178288912897815,
      0.115265970763021,
      0,
      0.257379504080253,
      0.0526384793858788,
      0,
      0.194632967540791,
      0.0209203463940445,
      0.0308003831917356,
      0,
      0.0962667613389068,
      0.0342917870668308,
      0.415495848511457,
      0.183268922696923,
      0.234831269355222,
      0.186796867536732,
      0.0491870218814226,
      0.278620415853052,
      0.182516031066633,
      0,
      0.234872289213832,
      0,
      0,
      0.37385782197473,
      0,
      0.0127630165964537,
      0,
      0.218458068765981,
      0.197168214495993,
      0.0951422177746024,
      0.185326720255737,
      0.176667748416513,
      0,
      0.416018672842283,
      0.0234579851151514,
      0.161037028126671,
      0.0861195201599251,
      0.260287463031773,
      0.548901149745968,
      0.252077379895948,
      0.38951973088978,
      0.322092397487621,
      0.233018568234999,
      0.415897519006043,
      0.238770176354054,
      0.468606623913731,
      0.348396953270361,
      0.491270067319185,
      0.346809451317871,
      0.464702711046672,
      0.484448644216089,
      0.372960671869785,
      0.401341319309689,
      0.406095227925915,
      0.324134199603484,
      0.397966655360277,
      0.411261287008146,
      0.323863651524121,
      0.123836074677457,
      0.203662825380782,
      0.311846819366262,
      0.391681554320136,
      0.203474380465307,
      0.278989465224147,
      0.279410894151913,
      0.246302879698572,
      0.516032049112752,
      0.192609385318304,
      0.329466906050953,
      0.00792508238193847,
      0.354559693142165,
      0.38287842262084,
      0.344110438824222,
      0.331988495149017,
      0.274407242394747,
      0.241191812379535,
      0.536969444664602,
      0.322825106648392,
      0.450966227902455,
      0.276263281017116,
      0.230960329641329,
      0.443597195744256,
      0.196272821577121,
      0.273218228746991,
      0.306942315008585,
      0.187665733361522,
      0.505111863533095,
      0.215900644405148,
      0.231291900649603,
      0.0283569578851231,
      0.230942517759682,
      0.440468314269551,
      0.203389012044744,
      0.40058717037822,
      0.316457236913508,
      0.145777820425755,
      0.489113009166268,
      0.307643039154567,
      0.3275058343669,
      0.255125645073186,
      0.35242177137906,
      0.461750005272348,
      0.487264221275289,
      0.382990064734936,
      0.293165215023658,
      0.482869234906325,
      0.400842859174538,
      0.340103294506579,
      0.192762153028897,
      0.268507019654436,
      0.249094420993158,
      0.312007534567964,
      0.336232945891319,
      0.438548439608028,
      0.227326581389594,
      0.333834384554659,
      0.182024705138312,
      0.392696334640467,
      0.296681912175944,
      0.229452053120421,
      0.31596550946471,
      0.213372752620632,
      0.396937867150575,
      0.457026225033665,
      0.320490960368442,
      0.291699666298081,
      0.346074519270792,
      0.396178621377982,
      0.255264576563285,
      0.334615938588825,
      0.501618924749847,
      0.228126613449836,
      0.378770320096162,
      0.455408069064756,
      0.259608677370197,
      0.352462018826609,
      0.214834984179667,
      0.304568436115113,
      0.346318208551594,
      0.262040604865634,
      0.299216560739477,
      0.327393195061173,
      0.233236304625951,
      0.520941712004494,
      0.277374244845661,
      0.263505890997854,
      0.282281716131394,
      0.240544100426445,
      0.366654329736168,
      0.313771671245238,
      0.345683415846589,
      0.313431858537626,
      0.292274053648836,
      0.316972629666586,
      0.371522029470915,
      0.424952704922617,
      0.457971766258695,
      0.382640854178192,
      0.287681566434156,
      0.383784078812186,
      0.48055192232903,
      0.226491404918179,
      0.358452349895495,
      0.417963841986835,
      0.491958512848104,
      0.385043699821556,
      0.364077271601746,
      0.39374157107878,
      0.31484485586,
      0.458940476207845,
      0.487794227640706,
      0.204951413097181,
      0.382933356815627,
      0.122987511023606,
      0.462016759078328,
      0.220275517205033,
      0.188975198450477,
      0.353363977620742,
      0.216141546678346,
      0.410975117757904,
      0.493750843117419,
      0.184048439194989,
      0.30043697529716,
      0.113260797769621,
      0.458192650543166,
      0.423770835241779,
      0.257624079687275,
      0.307105464627168,
      0.12504895295518,
      0.506693419769434,
      0.480403374995844,
      0.168736913188121,
      0.346930607479732,
      0.196993605506937,
      0.452350373257803,
      0.310761859504915,
      0.194696244303154,
      0.38064382263807,
      0.233577653982855,
      0.4650186577756,
      0.513493522099279,
      0.265547195930836,
      0.326101845101814,
      0.291813718819326,
      0.28958970445036,
      0.384842815553668,
      0.205295449553012,
      0.355636553256532,
      0.478179915728097,
      0.353939809567973,
      0.403046568469187,
      0.418282112125262,
      0.46091870962174,
      0.407890775642854,
      0.328198456462505,
      0.350034738744572,
      0.290583873411165,
      0.324032181269918,
      0.311571221944328,
      0.223594502126298,
      0.500897047415887,
      0.296750770731881,
      0.327386446647583,
      0.274779952285184,
      0.234797234644456,
      0.363179584310545,
      0.362746603726465,
      0.383902428693269,
      0.329269848428028,
      0.324207010589671,
      0.493884268039485,
      0.3504221294462,
      0.327623001783358,
      0.274825819186882,
      0.255953512367706,
      0.515868456896216,
      0.355360219787784,
      0.356052216495091,
      0.334966606474423,
      0.273017631982212,
      0.511714502306363,
      0.228583264131176,
      0.435323639877754,
      0.247091126047699,
      0.321946348535504,
      0.419535374320071,
      0.26569911262962,
      0.252691389555321,
      0.306271741058465,
      0.180514518646132,
      0.522062893751449,
      0.232525330642268,
      0.217585682430302,
      0.302285335918396,
      0.240120449366235,
      0.446655186074723,
      0.338495057589323,
      0.266606177927745,
      0.359650796698832,
      0.305208700507779,
      0.528992375893452,
      0.264943907592316,
      0.446955911085094,
      0.329349674912452,
      0.34279674540613,
      0.450010399615005,
      0.350985257641413,
      0.350124616924736,
      0.348217750518083,
      0.294362636999479,
      0.364605116550514,
      0.388038780842924,
      0.253328069380811,
      0.294736815064015,
      0.314081442433176,
      0.302977313779499,
      0.43253508855375,
      0.358961977685824,
      0.310469634741596,
      0.388508606142085,
      0.421673664966793,
      0.44402625743306,
      0.282610999563753,
      0.191423499418819,
      0.349056889077566,
      0.360249734616638,
      0.337632315011762,
      0.490533122801295,
      0.308055018684499,
      0.445076944272752,
      0.424340982597508,
      0.523834005817191,
      0.467487917032458,
      0.363798807166244,
      0.341434402145309,
      0.368196233507619,
      0.297478410733654,
      0.498028164370583,
      0.325681409453641,
      0.249100150644373,
      0.27512035623871,
      0.189965714779545,
      0.293669528096842,
      0.410459468201394,
      0.384334952060752,
      0.307969968130311,
      0.345622339737547,
      0.358965852980663,
      0.376107093537396,
      0.355928981108223,
      0.25798284297971,
      0.226352403424583,
      0.230731113590151,
      0.37017173762059,
      0.394847150247259,
      0.338889912400343,
      0.383394881300951,
      0.329522746440922,
      0.543975178139726,
      0.395371329518489,
      0.367132769738779,
      0.464057086429133,
      0.345990864251199,
      0.455546268000008,
      0.505358130791366,
      0.368772071581377,
      0.342834628641102,
      0.222351856047813,
      0.210704437189826,
      0.34076815855183,
      0.322274812132364,
      0.407947944140131,
      0.323304773533008,
      0.177992185351718,
      0.510830616836027,
      0.327148293250883,
      0.26400411187554,
      0.33730982077215,
      0.280162415325273,
      0.380907300868478,
      0.280468834737231,
      0.344338194893635,
      0.308782942583391,
      0.34826044318985,
      0.53176883636318,
      0.511674400160951,
      0.403710270607314,
      0.312940432024385,
      0.457723513897994,
      0.356799088097087,
      0.361330190710597,
      0.253876242766087,
      0.444922763517519,
      0.275659425136958,
      0.449546238185995,
      0.339857925223591,
      0.251556472919946,
      0.284939716422004,
      0.491341440860463,
      0.454764505480879,
      0.294230449880387,
      0.148289440042058,
      0.138103643119605,
      0.194654842352123,
      0.157774283061765,
      0.288054753301472,
      0.241427209519914,
      0.168107223863365,
      0.194850684792032,
      0.155977923091309,
      0.369274368909873,
      0.459084229095958,
      0.326469336307979,
      0.34405943587497,
      0.221508719545282,
      0.347065156457101,
      0.447328285682152,
      0.391730098293495,
      0.33402092603776,
      0.337924093314706,
      0.374197766818286,
      0.502783278612411,
      0.449728784071569,
      0.300827640307446,
      0.0574861976494701,
      0.281164042324626,
      0.51674815620122,
      0.353027925095815,
      0.331918451972467,
      0.319030846124583,
      0.338976144419422,
      0.473420455069706,
      0.462192928774854,
      0.445399719262563,
      0.392408856378452,
      0.360748195813094,
      0.495204377487521,
      0.456476804126111,
      0.473006437580773,
      0.485882972228916,
      0.430959026070002,
      0.448024312848526,
      0.378298056595361,
      0.329950881494798,
      0.325806665457725,
      0.347067518431598,
      0.360334174770005,
      0.365729313789154,
      0.377280771751141,
      0.375961523344921,
      0.389129051666321,
      0.384850876366142,
      0.440418172817876,
      0.317756689748727,
      0.302027264044099,
      0.57114234941161,
      0.342598331718762,
      0.431205865422465,
      0.492497100323774,
      0.335552103823901,
      0.313254963307746,
      0.258529618423399,
      0.499728026364495,
      0.386049467410674,
      0.42154419577712,
      0.389305012988287,
      0.373275687616567,
      0.472895556372929,
      0.525837471278341,
      0.30189334950231,
      0.407578123755276,
      0.296603610851848,
      0.307644842763209,
      0.323671842735853,
      0.335025346703247,
      0.356849477893787,
      0.299402627046715,
      0.304536795008324,
      0.510893002936456,
      0.354661886793736,
      0.407428040070225,
      0.467725518344765,
      0.312097618929,
      0.472107040749771,
      0.566866935973971,
      0.439417449771038,
      0.374488180500887,
      0.269478603037855,
      0.490356945946404,
      0.418403617770206,
      0.402863053258703,
      0.413839929270575,
      0.392433317634188,
      0.432185388790105,
      0.429644408487783,
      0.453898177627866,
      0.374595165066597,
      0.329782645920997,
      0.441479005744279,
      0.387765252852907,
      0.32233844617986,
      0.292030936057207,
      0.324918962142598,
      0.340632843750448,
      0.526581386498503,
      0.41863966907737,
      0.326389463650881,
      0.369564470098592,
      0.264050019649986,
      0.465375164950106,
      0.306468841731541,
      0.272325650166739,
      0.407654238791185,
      0.350920830331724,
      0.478125019006559,
      0.461938498578873,
      0.246900184961255,
      0.30371636655535,
      0.267531098207775,
      0.480922254619989,
      0.303599370534795,
      0.250894293814857,
      0.315592511177252,
      0.295675806225621,
      0.247235668461524,
      0.409356459595521,
      0,
      0.12266092050365,
      0.171840428375623,
      0.103357441728936,
      0,
      0.222455374639033,
      0.0486045044933288,
      0.175747065485953,
      0.159184586051798,
      0,
      0.386642197999732,
      0.0466763190661639,
      0.163784261834139,
      0,
      0.204295670132792,
      0.0845748167586322,
      0.0189277190973348,
      0.259836844498245,
      0.0552920471934204,
      0,
      0.211079432659035,
      0,
      0.00639851406823677,
      0,
      0.109352175499989,
      0.0426338844326253,
      0.421404663460549,
      0.0980345923301807,
      0.232838889910609,
      0.18104144340721,
      0.0505185032678052,
      0.314229983512086,
      0.189964340262723,
      0.0235307324051987,
      0.13047630403902,
      0.0685642490850651,
      0,
      0.368628236183497,
      0,
      0.0372256324123857,
      0,
      0.166837692028363,
      0.203958120123186,
      0.131911969269918,
      0.120359634877586,
      0.216718416582698,
      0,
      0.42140247162177,
      0,
      0.171864453950036,
      0.101747580201269,
      0.206180095535792,
      0.567872161802579,
      0.26623408334241,
      0.39170115472639,
      0.315593097729538,
      0.272133986884689,
      0.412559255097156,
      0.234034845176219,
      0.496262990031578,
      0.352529470328891,
      0.499277079793783,
      0.336462281823702,
      0.445227283276124,
      0.499734517855273,
      0.334542225890172,
      0.43437447813307,
      0.382452861144075,
      0.390132561505117,
      0.411217506779668,
      0.454671892711855,
      0.30017219303835,
      0.145873402751039,
      0.0571140418223376,
      0.296193409241302,
      0.39456291380134,
      0.199317140141315,
      0.277761938707882,
      0.264603135431308,
      0.22298028857372,
      0.52676377736851,
      0.179426900385577,
      0.34789980017382,
      0.00208548761474928,
      0.35029918869616,
      0.409514763732558,
      0.424471263236181,
      0.314064581674304,
      0.190349791304326,
      0.233136903898831,
      0.53618627135132,
      0.40259024269421,
      0.323697962475461,
      0.223335348493955,
      0.313262595564863,
      0.413293844842364,
      0.203750119963021,
      0.261041260992838,
      0.322414401191391,
      0.161149508377802,
      0.50581834761986,
      0.20476417445659,
      0.242348443786614,
      0.00902864311269384,
      0.200197499146839,
      0.423763058361512,
      0.205013692081729,
      0.409884522639112,
      0.314232973190269,
      0.154442886221913,
      0.481320078466844,
      0.336365707452109,
      0.320132950160502,
      0.306246528308999,
      0.287033409750064,
      0.460102136359021,
      0.468709856836396,
      0.364481902416453,
      0.288839891313977,
      0.478717498872278,
      0.463719063452147,
      0.35473395487109,
      0.250471215891927,
      0.265224319837578,
      0.273673845416999,
      0.332626352696533,
      0.342379220463006,
      0.432509277635356,
      0.216742916404223,
      0.382444160250874,
      0.18266948105821,
      0.397340585548453,
      0.251101384854189,
      0.246749787121046,
      0.322834266467842,
      0.190931742125595,
      0.405774424760617,
      0.449272091249041,
      0.219760844344516,
      0.296658145743967,
      0.277696243360053,
      0.401588146864377,
      0.254433951290737,
      0.32201440663877,
      0.47937924187328,
      0.213327321086983,
      0.362815946425115,
      0.452961471666444,
      0.225277300911009,
      0.359977758874009,
      0.216643195309197,
      0.311840514237601,
      0.357469770167876,
      0.281132306685155,
      0.299579897886884,
      0.333281908408428,
      0.231573578664425,
      0.532472462955606,
      0.255609024879026,
      0.255620974394303,
      0.266516691180394,
      0.256863908089641,
      0.324687672183366,
      0.308851401019245,
      0.377230370215559,
      0.337351159107022,
      0.23002783969914,
      0.370800116330438,
      0.382474009689311,
      0.421292882551422,
      0.453892359968959,
      0.34722119530206,
      0.30492008409477,
      0.390400671146453,
      0.494587308375743,
      0.229413193082677,
      0.361519800264643,
      0.321983479673983,
      0.488028889350376,
      0.280360034536341,
      0.111453339497189,
      0.363745997115071,
      0.234217233813027,
      0.461434656346422,
      0.49208723903799,
      0.199149760853578,
      0.332294442809813,
      0.121956094870265,
      0.457899069439645,
      0.191766000751464,
      0.121242388115677,
      0.356918161061472,
      0.218665280560152,
      0.416047769330116,
      0.454858736655613,
      0.218139485570059,
      0.279244369807559,
      0.112990912595844,
      0.43571181448448,
      0.399877382675814,
      0.294729263059974,
      0.381755944163869,
      0.0771108514284569,
      0.484894317138174,
      0.530885451033566,
      0.108128728886407,
      0.342324486800961,
      0.186627230192444,
      0.460348708450669,
      0.307050348096017,
      0.214693475808793,
      0.38240249978061,
      0.224522804728912,
      0.384176134365163,
      0.505545062280146,
      0.231854215918888,
      0.332132119301891,
      0.241585978251416,
      0.287766023749589,
      0.382713805633796,
      0.19416864102444,
      0.338735611250409,
      0.337180161347185,
      0.40931211295866,
      0.419504577649142,
      0.382780962351037,
      0.423699710370243,
      0.372913419209513,
      0.246544472697556,
      0.39955861502921,
      0.343906690148066,
      0.325518206238895,
      0.327830602845408,
      0.188403889532238,
      0.489822682626941,
      0.264693998515948,
      0.351931674659901,
      0.278404248730735,
      0.300778952099867,
      0.366577956116152,
      0.266281587491838,
      0.279662478868666,
      0.328815782257307,
      0.310950324566983,
      0.496231615531871,
      0.260654815030484,
      0.360709622953889,
      0.258008114078038,
      0.241612318083117,
      0.488595428001589,
      0.314268593527301,
      0.336593085508721,
      0.306329915713736,
      0.287197482372134,
      0.503528441768413,
      0.246067788879699,
      0.437251934919398,
      0.245696088289676,
      0.224039792936088,
      0.307623442477013,
      0.220199910049239,
      0.262458867947431,
      0.310092854148832,
      0.126747840844302,
      0.520110180288499,
      0.277028354044675,
      0.193520379820341,
      0.300969887605987,
      0.210701477577394,
      0.379694753093455,
      0.29907259528162,
      0.230709965652413,
      0.30245338142686,
      0.301330082810371,
      0.53027281762861,
      0.263418686374062,
      0.475036276510083,
      0.338293601297305,
      0.356967004711289,
      0.429034478162245,
      0.407272133977299,
      0.438699155449508,
      0.414381485999757,
      0.285340037975163,
      0.399424346798798,
      0.335325124271032,
      0.211828449544502,
      0.287765104539506,
      0.255413851083664,
      0.260337654298487,
      0.341385829736835,
      0.364315459159154,
      0.342444851989203,
      0.348098136240227,
      0.482734763392095,
      0.436276149713526,
      0.243043535099675,
      0.179934225264033,
      0.351637389742138,
      0.285521320131053,
      0.336885749602375,
      0.50790144593701,
      0.319045496558068,
      0.448417699286134,
      0.423214571176686,
      0.551333208781624,
      0.482143722676417,
      0.332585139948514,
      0.362767124380514,
      0.390261946553832,
      0.332065751244953,
      0.544787258176259,
      0.326182972463332,
      0.175332185656751,
      0.259069762790224,
      0.179583998696471,
      0.251321690681936,
      0.378530035432062,
      0.368969325074396,
      0.329756781152402,
      0.347825278101044,
      0.368869900830733,
      0.370436880500052,
      0.361753962581136,
      0.23033670131146,
      0.274094963309125,
      0.268141064183052,
      0.352237795126071,
      0.371607767809085,
      0.335093266920095,
      0.348380550185802,
      0.359664246132851,
      0.516090813315629,
      0.356109354978094,
      0.355652645467732,
      0.471218128181918,
      0.355894443680706,
      0.50654742480315,
      0.50207485425057,
      0.352527514784548,
      0.336133104071753,
      0.21695272477799,
      0.231641078734318,
      0.389410850243371,
      0.240775072856553,
      0.375346009810735,
      0.330230538513854,
      0.273413939752348,
      0.522246189100168,
      0.35574749799336,
      0.273403277714612,
      0.316335106220173,
      0.225685715229571,
      0.350039651997912,
      0.274759047946836,
      0.278562266608589,
      0.32630240377594,
      0.335353531044649,
      0.553678466039942,
      0.460167782678506,
      0.416325263234111,
      0.330906200823886,
      0.450616596576062,
      0.331346878562698,
      0.354845593671818,
      0.294742996297317,
      0.465374196359902,
      0.373302593214765,
      0.522015870247121,
      0.347408646771692,
      0.217562458811958,
      0.256386358528617,
      0.519456937160184,
      0.452309325898282,
      0.313924851934235,
      0.198614271498509,
      0.150591108643923,
      0.242074631921383,
      0.202276407540544,
      0.298870233189481,
      0.237969876506731,
      0.170717783990409,
      0.189366500803812,
      0.15728464749355,
      0.367297471892796,
      0.458221258249976,
      0.302495109458168,
      0.3658038570893,
      0.278171869525657,
      0.349597563314487,
      0.433025599007282,
      0.365574187542831,
      0.365942778503403,
      0.335435182442955,
      0.351444152321739,
      0.497255592161698,
      0.462876317648753,
      0.295289327898048,
      0.0264960557853109,
      0.259401604516431,
      0.509973246255139,
      0.362030886139126,
      0.323930652441631,
      0.294044754377048,
      0.354477713540429,
      0.470553713500647,
      0.489107968471313,
      0.45993100854445,
      0.413928109560327,
      0.373709058995635,
      0.475264631672862,
      0.466135613848473,
      0.44618452060978,
      0.510121585752129,
      0.449335309042136,
      0.427497410207715,
      0.381108161012106,
      0.334433761077298,
      0.302426743823353,
      0.332017200506985,
      0.367874853597774,
      0.393162663026514,
      0.399181097578622,
      0.398570889398422,
      0.410012898165039,
      0.400504311099608,
      0.402079640129243,
      0.311040250188121,
      0.354463544304739,
      0.374021432888954,
      0.261475474592554,
      0.432438770385628,
      0.490791913977675,
      0.300705299789854,
      0.349101349106884,
      0.330669509597681,
      0.499622906961758,
      0.358864358722786,
      0.408214082148973,
      0.376826950108331,
      0.238651958639758,
      0.511597207891678,
      0.540998982077275,
      0.306820985603427,
      0.373869340040551,
      0.351545843092599,
      0.329248413409587,
      0.320102214238219,
      0.307809900820589,
      0.332114295654944,
      0.331219834655422,
      0.314706531495837,
      0.513509721430142,
      0.289405667287257,
      0.42780998621935,
      0.48026968767446,
      0.272342908158247,
      0.450529829637409,
      0.515079101673865,
      0.406876592413891,
      0.389707324232574,
      0.320418294895445,
      0.520447049783072,
      0.434069765601305,
      0.441311699795138,
      0.455891166630171,
      0.407827787229797,
      0.466335989514868,
      0.423184835169265,
      0.481345387584022,
      0.415082139000141,
      0.312526013224865,
      0.460055307412088,
      0.354834065212753,
      0.33805033400818,
      0.292399797837584,
      0.329672054848386,
      0.3908696939948,
      0.529157733164097,
      0.415499858463206,
      0.40223053269102,
      0.336618140431943,
      0.339336764398835,
      0.477549380973961,
      0.31491123548849,
      0.210689344957844,
      0.41624217729446,
      0.399105413750099,
      0.471112429701615,
      0.431297050599915,
      0.316973158368001,
      0.31542471803666,
      0.294144921584259,
      0.498326514625594,
      0.315239965121748,
      0.28345687503225,
      0.311759126231207,
      0.371357361102054,
      0.266205905068573,
      0.416329261930422,
      0,
      0.0807445798736696,
      0.153997525063192,
      0.0493637803036948,
      0,
      0.200168830957316,
      0.0667128455375647,
      0.178614556877708,
      0.160051425660951,
      0,
      0.342874033434967,
      0.0664751833817075,
      0.214742244138936,
      0,
      0.209684026654605,
      0.0326582270525858,
      0,
      0.24261784073314,
      0.0212905761907131,
      0,
      0.185546764028891,
      0,
      0.0267110708291538,
      0,
      0.105190617649143,
      0,
      0.393252459822961,
      0.119220983218856,
      0.219517635638726,
      0.209809984302357,
      0.034180070915125,
      0.281338688199687,
      0.135623880318061,
      0.0648925853125814,
      0.130606063007804,
      0.0864235275418878,
      0,
      0.352464589646347,
      0,
      0.0518381487836509,
      0,
      0.116214866717338,
      0.201160134478787,
      0.0831568795431964,
      0.105951384725489,
      0.0521900719178381,
      0,
      0.37062253531543,
      0,
      0.201748623902539,
      0.0493232801502467,
      0.22915597350438,
      0.555831563277102,
      0.247406964354223,
      0.364228912165217,
      0.332800224612238,
      0.255727757561289,
      0.425714917206617,
      0.227453436731464,
      0.47305872266793,
      0.364303396295299,
      0.487316944494809,
      0.36643747124723,
      0.480552733568817,
      0.464794758204005,
      0.39748225573514,
      0.399718367924921,
      0.307380205975133,
      0.377411933080436,
      0.330719398596274,
      0.443750446183081,
      0.298998702503831,
      0.096247378822743,
      0.0873922215885392,
      0.279000903674628,
      0.42315717663208,
      0.203339257872749,
      0.312513155345309,
      0.283931651307949,
      0.216556602086828,
      0.529052881732678,
      0.166381001490446,
      0.321662694949675,
      0.0350930142974326,
      0.384546192044472,
      0.410652105686272,
      0.212748574101335,
      0.297438203231274,
      0.207183792264066,
      0.224958782683191,
      0.53052290717646,
      0.289752133829634,
      0.326327981889831,
      0.212543348409635,
      0.298001932358597,
      0.368855348457347,
      0.234346926725648,
      0.246505855513743,
      0.286940516656293,
      0.0403165120574219,
      0.497485320659792,
      0.183338777256577,
      0.275681354084388,
      0,
      0.240639108026491,
      0.395291906664049,
      0.197945308152979,
      0.390154012868502,
      0.330861331098214,
      0.0662374737849823,
      0.485174091117206,
      0.333762377676744,
      0.350388643681013,
      0.329610930773275,
      0.265467684410789,
      0.445245319752102,
      0.465488196013801,
      0.336013413496978,
      0.296877804794121,
      0.468219906113443,
      0.495434867176545,
      0.303771974146419,
      0.237413195836542,
      0.245521664696615,
      0.262842054704962,
      0.292509268575319,
      0.366511025753771,
      0.408930637908642,
      0.217869546873682,
      0.38040078449708,
      0.111277153279663,
      0.350651179911191,
      0.234894392220031,
      0.162076989090683,
      0.300783329955329,
      0.166254466913427,
      0.401319521052604,
      0.435235492840361,
      0.288291022970818,
      0.328374165689239,
      0.325402134860478,
      0.390859121798186,
      0.227917092528668,
      0.35307571232131,
      0.480720983091651,
      0.162713277431447,
      0.34996691728324,
      0.469698893205642,
      0.199839251064608,
      0.336469705037855,
      0.201111887886246,
      0.227665762219596,
      0.332396969354373,
      0.282544542599841,
      0.29491001062565,
      0.315841937171683,
      0.235246300476788,
      0.515796492491016,
      0.265486426419479,
      0.280758451846489,
      0.251436962264561,
      0.140511608201218,
      0.309717946654968,
      0.311861385181889,
      0.37338385403062,
      0.341698229127194,
      0.22915161371661,
      0.404714162831078,
      0.389807871378336,
      0.388643520583251,
      0.43911820081485,
      0.381617528900888,
      0.249354859951114,
      0.446116589857688,
      0.488549215504931,
      0.222882587928776,
      0.305932915182025,
      0.198581977074764,
      0.487725569031169,
      0.376768504898567,
      0.374396757246791,
      0.356029609696317,
      0.263254443447617,
      0.449682254701059,
      0.464452348800411,
      0.219968740684765,
      0.334250053526413,
      0.068427574582027,
      0.454148468816018,
      0.199790577635975,
      0.174407948235609,
      0.290341107796074,
      0.199381736873305,
      0.436810506239307,
      0.473696373770863,
      0.161421902285554,
      0.324869883324338,
      0.0927734824309477,
      0.427118990707034,
      0.37687820988101,
      0.122719925982335,
      0.355830212466879,
      0.12184030209953,
      0.410318263989999,
      0.494792536409228,
      0.105841774048375,
      0.347375990329538,
      0.164303369635573,
      0.468131610810504,
      0.296271062134667,
      0.220518430293875,
      0.407714896303062,
      0.227600674898172,
      0.38096468912627,
      0.518111741789202,
      0.285655819888969,
      0.374702592564417,
      0.356078720305913,
      0.380966680618491,
      0.443976197904079,
      0.223634648703127,
      0.388767065314022,
      0.318625648112743,
      0.4931531592907,
      0.438137121848966,
      0.449251451081089,
      0.380247507300621,
      0.326368883965383,
      0.405666748656666,
      0.342735733763524,
      0.269199161212476,
      0.354990579793323,
      0.319959921719613,
      0.136510821042272,
      0.48997780401816,
      0.167716897091832,
      0.33750353487735,
      0.265436293087806,
      0.314475978772618,
      0.347882087488379,
      0.226600513276557,
      0.398096767538071,
      0.365218918636168,
      0.455789915742763,
      0.528098411226327,
      0.182117454569805,
      0.434426681077597,
      0.242287134334091,
      0.229612920331003,
      0.565124524839578,
      0.275637249586651,
      0.316606978423059,
      0.286660477746298,
      0.292263361675955,
      0.514486675122088,
      0.205870070009362,
      0.296009766142198,
      0.25766311234557,
      0.123980252795398,
      0.411479423665344,
      0.242058191229543,
      0.259366840047797,
      0.302661604621519,
      0.105023012658515,
      0.545785830229717,
      0.250179877415427,
      0.210441782383975,
      0.30987619651543,
      0.280365177115456,
      0.393124450656519,
      0.284856035018492,
      0.233150335510077,
      0.282531791734982,
      0.312526962593818,
      0.515510699966063,
      0.286543394881377,
      0.435652725690338,
      0.300785512065918,
      0.344707848261162,
      0.409753499446802,
      0.390422733677402,
      0.406401474805001,
      0.42266623425054,
      0.25399122912457,
      0.394040154078807,
      0.336248814212617,
      0.227561711598696,
      0.296334690070501,
      0.43071810853524,
      0.263737557602558,
      0.344196997163708,
      0.350041472800386,
      0.295268106422346,
      0.372357923593943,
      0.279733620019827,
      0.434840731872701,
      0.20398757512897,
      0.15804092928622,
      0.31570994910081,
      0.319355254586611,
      0.359122001406368,
      0.486424222439681,
      0.309899030105162,
      0.387539491656707,
      0.398037687089888,
      0.560126935021943,
      0.45713043001769,
      0.340793489458624,
      0.305677812619445,
      0.387114650508796,
      0.238272804774938,
      0.562764395881163,
      0.320361609693513,
      0.212314344277869,
      0.259220509191872,
      0.152792488646711,
      0.258620886058776,
      0.335980060478527,
      0.38390148810424,
      0.307023610511355,
      0.340463210878255,
      0.382016870683591,
      0.353311512967637,
      0.365773675581623,
      0.225879878117879,
      0.28286672419339,
      0.280797278080034,
      0.342042413555885,
      0.412692320705833,
      0.309101160345368,
      0.358938495055833,
      0.320739930924378,
      0.492700715840861,
      0.375198507786067,
      0.365840145819911,
      0.475196410502562,
      0.345805348476272,
      0.469916944863479,
      0.472623973146848,
      0.346373448334899,
      0.379607798481153,
      0.247125944795807,
      0.239423145489444,
      0.347751514862263,
      0.266032157284175,
      0.398124994771875,
      0.289955363145415,
      0.240515166495514,
      0.520656347020751,
      0.319797054824886,
      0.266210788698474,
      0.270168909647888,
      0.203680026699066,
      0.363699387308558,
      0.234453697501578,
      0.268735577505095,
      0.300800026710224,
      0.336946424784605,
      0.511644883402769,
      0.465595180496705,
      0.446992686648443,
      0.331674365863797,
      0.441045002090439,
      0.335062677169434,
      0.324627418115125,
      0.294834840301464,
      0.455520339259143,
      0.358931856980805,
      0.544972364721336,
      0.308886670231567,
      0.249357941279481,
      0.255097720311339,
      0.481821794530632,
      0.417364598156542,
      0.237766639669674,
      0.19240793449181,
      0.126808412102373,
      0.348234438180257,
      0.224773840085521,
      0.261116724093934,
      0.244509014801764,
      0.18649558728625,
      0.197484094362414,
      0.235410615407787,
      0.360069682840501,
      0.42727123062665,
      0.305466749159762,
      0.369835566459569,
      0.248450944752989,
      0.338113016622082,
      0.412845520922009,
      0.342268075381375,
      0.340669635189322,
      0.350998926132675,
      0.366122064758483,
      0.490284262617084,
      0.41151715911911,
      0.32098898533772,
      0,
      0.272610274053836,
      0.45694101969707,
      0.327142470828685,
      0.344598649583116,
      0.310719828772909,
      0.369589497090241,
      0.444670786535439,
      0.453246602471195,
      0.42607271759941,
      0.438159093695194,
      0.34349977568946,
      0.472360538337939,
      0.461593985792783,
      0.379259476278407,
      0.429601692616764,
      0.447754678084824,
      0.494617741425869,
      0.394381587557052,
      0.365028935049321,
      0.289816273946755,
      0.30277395712131,
      0.312355737346032,
      0.372925302824622,
      0.345425309672922,
      0.386977520908111,
      0.411185626511215,
      0.409970186097786,
      0.35813274393208,
      0.294330683811247,
      0.291757986598435,
      0.378440400518614,
      0.265380746548059,
      0.417216843519095,
      0.484044086869748,
      0.296987997462095,
      0.326531426633407,
      0.306268724061696,
      0.549826866569822,
      0.351131434359442,
      0.373398605171095,
      0.354646123947815,
      0.277265126687534,
      0.515055622072574,
      0.538191680553738,
      0.27754507980669,
      0.333035276156681,
      0.342358925124155,
      0.309208401955401,
      0.352887598592757,
      0.276291875113316,
      0.291898748729199,
      0.322679695016671,
      0.289458391754373,
      0.509289399394056,
      0.297487532502678,
      0.405013011875108,
      0.439803095529252,
      0.315798315388765,
      0.434005554449704,
      0.498164227054026,
      0.41747474064609,
      0.406901925486361,
      0.343867337638713,
      0.485354286498819,
      0.393324404486176,
      0.441261021262584,
      0.478473541884012,
      0.402071924945652,
      0.455053212616591,
      0.39589170575781,
      0.438845843046546,
      0.441807991770643,
      0.293898512310401,
      0.437172568439114,
      0.388161825031074,
      0.278921324212708,
      0.322166555916777,
      0.327861913965581,
      0.343369130410625,
      0.495251226012078,
      0.389909392975509,
      0.4589690913574,
      0.36402562883294,
      0.384530806517454,
      0.489891440266057,
      0.351693138699261,
      0.246415435099961,
      0.384585387237638,
      0.389658378433206,
      0.455865197057939,
      0.415112501441972,
      0.289289570089893,
      0.3279534186005,
      0.299626806463008,
      0.476308566031547,
      0.293579439921101,
      0.283927511018261,
      0.359707720985777,
      0.356862205364298,
      0.237437746770788,
      0.386849393757625,
      0,
      0.0956449826817932,
      0.188875874367372,
      0.09748236458632,
      0,
      0.260462510585214,
      0.169293621018177,
      0.16269412039546,
      0.179344590847298,
      0,
      0.331083265272223,
      0.0705374160864405,
      0.204359024847813,
      0,
      0.24266147028979,
      0.0145001905064712,
      0.0121774887482733,
      0.237842428269482,
      0.0328064710619581,
      0,
      0.184383543366901,
      0,
      0.0599090194183243,
      0,
      0.102089896246727,
      0,
      0.415814224782406,
      0.0825405371671398,
      0.279355770367283,
      0.193244311106492,
      0.0114354617758685,
      0.265406538913459,
      0.157127972185419,
      0.125149289617924,
      0.12425433154188,
      0.177992300108414,
      0,
      0.384493244877331,
      0.00680539688247175,
      0.119742941743009,
      0,
      0.0785922468871563,
      0.257334268961865,
      0.145222786075794,
      0.130242970811948,
      0.046941083184539,
      0,
      0.387737567714907,
      0.0520978549312256,
      0.223360006514462,
      0.0327180185061598,
      0.258110949231402,
      0.551666956919464,
      0.259953839778155,
      0.389844663740676,
      0.342858510222132,
      0.253014933875799,
      0.424154114995881,
      0.251914369929044,
      0.522186738054942,
      0.334152387606778,
      0.475067519681796,
      0.396332832233281,
      0.517517687623476,
      0.516477558512119,
      0.445967133388562,
      0.397603661965747,
      0.317713888986312,
      0.33485922224334,
      0.365306191415537,
      0.425108364477612,
      0.338473818538765,
      0.114510790437837,
      0.0485900742718378,
      0.23477823877446,
      0.446031746879782,
      0.214578467302012,
      0.315891397364847,
      0.236463205518373,
      0.219462881741131,
      0.528294903285633,
      0.207435976547449,
      0.352896592642679,
      0.0202554912534944,
      0.356759325396837,
      0.411912250359146,
      0.318870199573751,
      0.326311656503553,
      0.157324542115007,
      0.227868214385749,
      0.542342786109834,
      0.33226531623598,
      0.308210399073709,
      0.227528021042623,
      0.146474790116393,
      0.416637612404104,
      0.237348940948932,
      0.28016535464637,
      0.243904261012119,
      0.0590832589320007,
      0.53439698451562,
      0.202306769864206,
      0.28418583500331,
      0.00141357560868834,
      0.236808403536401,
      0.387586272320628,
      0.236177978461758,
      0.388884759762451,
      0.33953040309207,
      0.103227560515858,
      0.469676701487497,
      0.308681930164105,
      0.361082948135585,
      0.309440721802587,
      0.294586820276003,
      0.42699594587054,
      0.498302729353568,
      0.335689418161788,
      0.305073725754316,
      0.479253586160946,
      0.439152751112959,
      0.32305507035342,
      0.252876113592873,
      0.267380672076907,
      0.256052246365423,
      0.301612185662035,
      0.387328494911996,
      0.413616897654526,
      0.225673094379209,
      0.379719135941981,
      0.0944169697976263,
      0.341758087300771,
      0.232297342805469,
      0.218833494095323,
      0.299106799062531,
      0.183797025034132,
      0.401628844746552,
      0.471462585077452,
      0.274563453372401,
      0.336175627337526,
      0.308242563687205,
      0.397378584512518,
      0.215831855403918,
      0.369842615053715,
      0.49189332774548,
      0.175040525012859,
      0.380393211038052,
      0.477644423739191,
      0.260789550474426,
      0.368568667058582,
      0.22547236901057,
      0.170270626564714,
      0.34995571941984,
      0.301351589043838,
      0.290463201224881,
      0.335481238043409,
      0.227671594363026,
      0.520238350023716,
      0.222001403485264,
      0.298095100926737,
      0.30466463700281,
      0.183779877688841,
      0.31518605228343,
      0.332898627298671,
      0.374220134538517,
      0.32799544222579,
      0.212244874061496,
      0.350110899068164,
      0.402347837541064,
      0.391411820142793,
      0.468507207680205,
      0.378789772817324,
      0.221036141525314,
      0.456395395045973,
      0.51556416968986,
      0.238789678623664,
      0.319208938804737,
      0.402914257215584,
      0.478747952392557,
      0.394796345704699,
      0.386667333381473,
      0.371675064713275,
      0.298754560896481,
      0.41891589338694,
      0.448913125337515,
      0.23639017953058,
      0.351900208501894,
      0.115967135329873,
      0.461509783530225,
      0.214154085260989,
      0.156089315797902,
      0.348076677333348,
      0.185285138750989,
      0.43863542797771,
      0.47465399415236,
      0.223500474790939,
      0.351948688850934,
      0.117622630474003,
      0.420378245339615,
      0.398329439936893,
      0.323989804986253,
      0.37941129182662,
      0.143211304324654,
      0.418800566769952,
      0.496915864548035,
      0.141589183933682,
      0.359832920697294,
      0.210765468911751,
      0.435848515563555,
      0.305863823233005,
      0.212785440759934,
      0.408706623470283,
      0.236864341094441,
      0.502752296609793,
      0.536374340689223,
      0.227234373218212,
      0.369947620126224,
      0.57346018265665,
      0.40065366516042,
      0.432008897481057,
      0.194606039168545,
      0.406187034124133,
      0.497303515139,
      0.334540305120459,
      0.425130642188944,
      0.441995787604705,
      0.502764441285977,
      0.409153210163866,
      0.366477114510074,
      0.371423454549992,
      0.24933802444898,
      0.288530511688157,
      0.377262598064967,
      0.135881574238056,
      0.47969704688913,
      0.118661933056313,
      0.367143958204686,
      0.274238620447313,
      0.292022139143495,
      0.352577228195317,
      0.264828186116926,
      0.343876652304081,
      0.339354578117606,
      0.391824314706514,
      0.53251343708621,
      0.297546752374921,
      0.508023131214105,
      0.25777105658761,
      0.410086052818414,
      0.584623510772287,
      0.358614589023055,
      0.33784175808633,
      0.298618877107235,
      0.278585564105384,
      0.504427408389211,
      0.198989934871223,
      0.334574013963543,
      0.276274240293556,
      0.314136666559307,
      0.465972853324135,
      0.234137915755544,
      0.243139918861103,
      0.333080571270792,
      0.114453267938699,
      0.489323681381801,
      0.261542928074427,
      0.3078004904779,
      0.340478250130606,
      0.154186344919112,
      0.439767477077439,
      0.292059812169353,
      0.262547712045344,
      0.355853301512348,
      0.341772844798595,
      0.516283073712378,
      0.248148991072074,
      0.392804427140232,
      0.338660676306069,
      0.335062672020982,
      0.427554530924029,
      0.371828171371895,
      0.416163728132558,
      0.372812881830465,
      0.3147518795437,
      0.317929771426201,
      0.363883502772759,
      0.224828387336775,
      0.322945745042802,
      0.452369739126098,
      0.282288812463564,
      0.379040063682425,
      0.356180060033902,
      0.30264037061049,
      0.363073811724296,
      0.320948055694063,
      0.414984149923971,
      0.230826892755791,
      0.163391672034069,
      0.28222832876309,
      0.315295679046806,
      0.399257036862423,
      0.512946726626122,
      0.362619786886103,
      0.420146000057344,
      0.42963618611417,
      0.557197227068701,
      0.447539943727444,
      0.280686058696802,
      0.348423122948684,
      0.351168588250115,
      0.335049047611544,
      0.469870630043547,
      0.34874093661151,
      0.204592593814516,
      0.270881168065997,
      0.15605007690323,
      0.303755110280016,
      0.342204160028483,
      0.371310643605866,
      0.272471346330458,
      0.265868695086795,
      0.341134845824109,
      0.370979798940297,
      0.367166577074966,
      0.197485577386103,
      0.292139707081092,
      0.261871012702884,
      0.363262043146278,
      0.430564520835349,
      0.386309407190129,
      0.358870115632107,
      0.381594510887308,
      0.501247222632532,
      0.434904973758947,
      0.315972373954097,
      0.451222951029717,
      0.322771611542709,
      0.451428128979392,
      0.517441896018994,
      0.319302137015296,
      0.380168867177027,
      0.282527062351081,
      0.251057045457702,
      0.351479287144907,
      0.28501979486625,
      0.382007498400637,
      0.324572299519574,
      0.199565386464253,
      0.495321442735843,
      0.259683251601075,
      0.256720821153332,
      0.249797340915097,
      0.240457603577643,
      0.3859893427918,
      0.260038748993352,
      0.245960083469999,
      0.305148760447095,
      0.340134337909031,
      0.533604234618718,
      0.468100559781683,
      0.422561904206917,
      0.312465487834343,
      0.442287399480469,
      0.328828226739865,
      0.296737959462961,
      0.274625109647665,
      0.425736974238473,
      0.408397808113296,
      0.432473237415754,
      0.348281213779407,
      0.248135034017601,
      0.305459765397635,
      0.476195286733521,
      0.434922588644238,
      0.314638712530443,
      0.200008008277566,
      0.147609826146497,
      0.339970150881244,
      0.292358440027574,
      0.334145332516161,
      0.359336031727519,
      0.291561728469536,
      0.206122813670857,
      0.199822392350494,
      0.344933618824228,
      0.421813951615293,
      0.266020424557831,
      0.399463582296757,
      0.303326042372128,
      0.368794749674083,
      0.454363691045984,
      0.400906965886671,
      0.380030773634008,
      0.402059365385484,
      0.456174718732436,
      0.507007985312018,
      0.432614458924061,
      0.315995860913682,
      0.0388393499689716,
      0.292559947287916,
      0.487017080764384,
      0.381173171781582,
      0.356302830319013,
      0.35489915111104,
      0.337443225597166,
      0.448510937154106,
      0.459312621030397,
      0.454672918725528,
      0.404313853238371,
      0.378877744786079,
      0.450941134733681,
      0.457303287493939,
      0.437797970513306,
      0.395725927368991,
      0.415166397834802,
      0.488195277740202,
      0.385860958840904,
      0.343293650184659,
      0.304029239281377,
      0.302959930683049,
      0.285817173703577,
      0.387183496985497,
      0.385032534886662,
      0.428404397421755,
      0.42852955266451,
      0.351412674680983,
      0.381526737440838,
      0.287411194742676,
      0.35630537958062,
      0.368273503810525,
      0.220337400004501,
      0.390415404637668,
      0.498557352655152,
      0.307947030581114,
      0.345360133378144,
      0.287131012835363,
      0.502233778458401,
      0.334331795072273,
      0.361780841342786,
      0.387766082434458,
      0.267298677103119,
      0.499785077783255,
      0.535860149705724,
      0.339857698448294,
      0.35078330513262,
      0.352449242241727,
      0.343382747236074,
      0.338305951630069,
      0.300572593655368,
      0.317639926124636,
      0.324900078052454,
      0.272175735582533,
      0.526228486756675,
      0.348894573604328,
      0.396052287243284,
      0.395382875387608,
      0.227071385947488,
      0.442001333203239,
      0.552773623111023,
      0.423640525380047,
      0.411165524851137,
      0.313556683846983,
      0.516417049378912,
      0.418750986016998,
      0.441450979127286,
      0.444875616294405,
      0.39076570761959,
      0.487395311293715,
      0.479782109977149,
      0.534829848808221,
      0.489750801526484,
      0.314804528654806,
      0.469564896838403,
      0.450545849759996,
      0.321581987551039,
      0.331228246681636,
      0.38158481557327,
      0.34019086323595,
      0.546751775095095,
      0.470670882880064,
      0.324785461210787,
      0.44626299711859,
      0.461501271399901,
      0.504608321198927,
      0.470057899008261,
      0.434740186124378,
      0.451666873590783,
      0.355410646159458,
      0.494410801481654,
      0.441745829561699,
      0.266320669242289,
      0.321613804935457,
      0.288812967068629,
      0.46323299844912,
      0.32148270933106,
      0.27146927336638,
      0.439201325050034,
      0.389103709202201,
      0.227110626628976,
      0.472456017030081,
      0,
      0.0657428385252244,
      0.157919099258437,
      0.153840013421116,
      0,
      0.227637794115068,
      0.170155728276899,
      0.236370061584623,
      0.177451070049911,
      0,
      0.393673440358677,
      0.121472937094018,
      0.165780458108971,
      0,
      0.309174856822939,
      0.0817037252167983,
      0,
      0.312771191975722,
      0,
      0,
      0.262132469817822,
      0,
      0.0588473395256194,
      0,
      0.119576020631244,
      0,
      0.481443203228653,
      0.106208547743399,
      0.332328713205745,
      0.131485376638663,
      0.00894324001073966,
      0.305423566830993,
      0.166834793184797,
      0.20095565942564,
      0.111953412258229,
      0.15029470074149,
      0,
      0.458681534241681,
      0,
      0.129001993114084,
      0,
      0.213653650243333,
      0.219427862094364,
      0.176152514598539,
      0.123868583400664,
      0.226244335930556,
      0,
      0.505949571860956,
      0.0813035437687116,
      0.217187447245985,
      0.0559175404060567,
      0.233769236369568,
      0.561323033965727,
      0.343313889171733,
      0.358873322346648,
      0.3349615235799,
      0.236806991430958,
      0.428199991752805,
      0.294356415956132,
      0.478410832303611,
      0.332810221530714,
      0.451536853855919,
      0.380971406323136,
      0.476311529129518,
      0.504660858943593,
      0.428573090788676,
      0.411976287682847,
      0.354450880591793,
      0.33457503967511,
      0.256595787234855,
      0.410960515851933,
      0.367508950475566,
      0.199790330833248,
      0.105943486273547,
      0.235320196215844,
      0.394345806860992,
      0.276162941259007,
      0.340588497784313,
      0.242463286793791,
      0.173119498417979,
      0.514385554724597,
      0.308507211272233,
      0.312636150596582,
      0,
      0.299582545187701,
      0.422358507162411,
      0.27207369782095,
      0.365445597639643,
      0.220204227600437,
      0.259898516017467,
      0.522266140430005,
      0.325186091602197,
      0.359125387458344,
      0.152236168503558,
      0.112952443603578,
      0.39243131841459,
      0.318880655007814,
      0.274700295634109,
      0.235184132763895,
      0.0360243724024968,
      0.522327976115473,
      0.296875551179514,
      0.237860997502394,
      0,
      0.173025736076507,
      0.401536602496502,
      0.282059690009391,
      0.408047983844256,
      0.345369219922577,
      0.158882194478929,
      0.494411065636368,
      0.304178401289965,
      0.383904859046961,
      0.353216299832501,
      0.282325963153727,
      0.436034427057639,
      0.49593348351839,
      0.342869176584388,
      0.341925300153211,
      0.458323147055289,
      0.420856076304279,
      0.378428105597169,
      0.219094125087339,
      0.275120175305377,
      0.253043101658035,
      0.220776152890907,
      0.401921008678508,
      0.402292106387788,
      0.229493584424045,
      0.358041415621859,
      0.135712412877126,
      0.400155075169033,
      0.22074087427554,
      0.2134373118149,
      0.318632046834266,
      0.173306552048614,
      0.409525613543381,
      0.4201718152233,
      0.261504207324702,
      0.342240643424158,
      0.311914076897313,
      0.404527425487241,
      0.269642479025932,
      0.345684168401442,
      0.454123981690699,
      0.244308229304826,
      0.374503546065695,
      0.446888235844034,
      0.260715004490714,
      0.399420680196084,
      0.215375630333698,
      0.236463364502443,
      0.356503555626092,
      0.302486234231139,
      0.314824247858887,
      0.334279862178886,
      0.210235915643841,
      0.503077282155241,
      0.290224134437667,
      0.246333700692897,
      0.326054550448422,
      0.155114927274259,
      0.342197945258705,
      0.352736219329722,
      0.424356677206103,
      0.334096798961814,
      0.231809712656306,
      0.333815528985267,
      0.43195296537001,
      0.425456592319543,
      0.433120516400709,
      0.363693350996324,
      0.213408947517247,
      0.449634128302427,
      0.512947482441106,
      0.25742909976717,
      0.35995542279976,
      0.4444902703082,
      0.464261965913349,
      0.310158313586546,
      0.164695177945824,
      0.37998005620279,
      0.243121583016962,
      0.418425431330084,
      0.483578111834999,
      0.261646477434161,
      0.396729080795578,
      0.109708923491982,
      0.414483724819301,
      0.29982797395236,
      0.206317472784162,
      0.335928666297174,
      0.146576486586299,
      0.42492729420111,
      0.484377245085301,
      0.19680693456614,
      0.366257466795895,
      0.116248207569889,
      0.485246914733865,
      0.440325234344502,
      0.325668995989793,
      0.363604945732268,
      0.176070752413491,
      0.394075452545846,
      0.536128425498867,
      0.166120884657848,
      0.402498307430968,
      0.183802756391632,
      0.394684017751294,
      0.336230001943526,
      0.25939753745689,
      0.415949492567553,
      0.275640048489316,
      0.454098984794816,
      0.494748801745117,
      0.260921990139763,
      0.401928005070783,
      0.51946994280525,
      0.276698499705201,
      0.409933793001458,
      0.265426742593514,
      0.427354350201342,
      0.497955861762823,
      0.404227915752375,
      0.409053144570001,
      0.37962585353525,
      0.474756520116932,
      0.41267706047098,
      0.280453848959847,
      0.397138226183988,
      0.314597681053191,
      0.332360048504452,
      0.35782438513597,
      0.120419072236435,
      0.501204016299219,
      0.250523325870327,
      0.372427109217542,
      0.309690662187853,
      0.229511087864039,
      0.40279231751332,
      0.279266709107115,
      0.41415405960365,
      0.351598860818462,
      0.317825564809158,
      0.512738953617346,
      0.337008244276659,
      0.325274094488965,
      0.332290935363747,
      0.615430818910572,
      0.528624582942891,
      0.346589339699932,
      0.334217270530463,
      0.311502423322639,
      0.2532516871146,
      0.510319136661658,
      0.27459096657947,
      0.501776239626917,
      0.289441216998824,
      0.346432949713552,
      0.42451488122219,
      0.290786282895178,
      0.274949636177911,
      0.333991372646381,
      0.117755073821394,
      0.459394644221042,
      0.320168987675966,
      0.25911054851963,
      0.367418390391466,
      0.312099964491539,
      0.326729000179688,
      0.345658751582695,
      0.276062823337776,
      0.359632543908432,
      0.305082802171738,
      0.512570523121192,
      0.313909533037532,
      0.418417054789794,
      0.342151965095164,
      0.318363705118373,
      0.456560875175492,
      0.41288451194542,
      0.43058810291421,
      0.41753813460651,
      0.359104742277919,
      0.30800536923413,
      0.38867603040726,
      0.284114373114329,
      0.341955075320217,
      0.339941847841975,
      0.267069974169398,
      0.402740965702692,
      0.388755287591513,
      0.336453349092905,
      0.385951903272349,
      0.339083298677192,
      0.437321527779899,
      0.271435676817804,
      0.226431020442416,
      0.34950343391268,
      0.2509386901222,
      0.395651733493833,
      0.473907610618568,
      0.383216197995121,
      0.504943029788416,
      0.418945797593767,
      0.578628177910571,
      0.449408657305374,
      0.386973729867448,
      0.356625538243398,
      0.386568769776681,
      0.354320012642692,
      0.447476919196263,
      0.372450597198218,
      0.205575531983355,
      0.286105210947718,
      0.18497762614086,
      0.301664459310155,
      0.420721059783286,
      0.402667445294636,
      0.265552235315692,
      0.342713322417432,
      0.347832471773936,
      0.383756629598837,
      0.35655553174952,
      0.248664134263859,
      0.299431513202692,
      0.263963937209407,
      0.408530207415282,
      0.420459056463946,
      0.328347337352059,
      0.347030983799319,
      0.347810902204805,
      0.503856395879021,
      0.442294086457993,
      0.368764626237347,
      0.429048664482363,
      0.354168689875691,
      0.507510144771269,
      0.510070979809085,
      0.314748903714087,
      0.390640901512065,
      0.270227809226521,
      0.232719736219909,
      0.391982234096614,
      0.244791224515377,
      0.346761350744383,
      0.286038539413902,
      0.236175137691289,
      0.455747727111532,
      0.266174404724352,
      0.303580714782159,
      0.29954351042359,
      0.272722745860505,
      0.378535797745134,
      0.272401223051401,
      0.262506801360358,
      0.329344845263039,
      0.336636006754811,
      0.546570453851163,
      0.504377105194684,
      0.393347077483095,
      0.313415115079672,
      0.439970723088851,
      0.317844618016968,
      0.362966484210614,
      0.310776879908674,
      0.41095707907859,
      0.359656116887059,
      0.408947574491027,
      0.425920921307301,
      0.254612509350216,
      0.332905906746896,
      0.483218880373613,
      0.506188359626111,
      0.330466601337782,
      0.293749912840514,
      0.243030964889339,
      0.355133683238445,
      0.272779022093839,
      0.34770782609722,
      0.305474799425906,
      0.283959997208909,
      0.241907508701044,
      0.170433553155942,
      0.457868581573359,
      0.491047873824611,
      0.328144104553446,
      0.447133171590718,
      0.294877086317883,
      0.386986401699006,
      0.436843110581353,
      0.387358559989607,
      0.395367886031365,
      0.366550749601703,
      0.40723652818539,
      0.494043417397282,
      0.437227724313978,
      0.30871401170479,
      0.0782116258953177,
      0.272391879263201,
      0.463219278934524,
      0.379608389193982,
      0.36374075140162,
      0.377129876898789,
      0.357570668102242,
      0.46226158480738,
      0.487437909856569,
      0.474575207960109,
      0.421363566736822,
      0.343271979270826,
      0.471495352537155,
      0.471830130126515,
      0.399275084266711,
      0.465774522736422,
      0.452272687644998,
      0.462100390374467,
      0.414604741572189,
      0.372212523775414,
      0.298527457194501,
      0.337184243099679,
      0.292073367265244,
      0.408204114367782,
      0.393452033832345,
      0.403290225376878,
      0.405990495068326,
      0.388277770163883,
      0.43396841426293,
      0.296237652283502,
      0.389432225621641,
      0.335753190343164,
      0.297431826644176,
      0.396627618044452,
      0.480685703047746,
      0.302386859325223,
      0.404204859746424,
      0.326868932014018,
      0.485384343901004,
      0.376972045414141,
      0.396726839071928,
      0.393596919349608,
      0.271117337554034,
      0.477690812918132,
      0.532454559793392,
      0.307166636773722,
      0.334247782695675,
      0.416811399987522,
      0.357063125978312,
      0.413233534407701,
      0.283875170876752,
      0.326099247242616,
      0.334135546179335,
      0.253427108375313,
      0.49165271505358,
      0.353629301558667,
      0.406379537873876,
      0.366144632203217,
      0.274330099504775,
      0.410603886932443,
      0.555690155665154,
      0.389449635294506,
      0.368673692572864,
      0.319541486690738,
      0.514333651875584,
      0.396239525527851,
      0.413835127464558,
      0.453890820217985,
      0.41610748244009,
      0.458593548717657,
      0.399039317671195,
      0.440129618336352,
      0.394116817155843,
      0.306241672832007,
      0.427637290753389,
      0.333407703705358,
      0.327887149089076,
      0.33662411930193,
      0.358253955326957,
      0.304948295205711,
      0.489106620459439,
      0.445380949036333,
      0.312386571665681,
      0.320777623633031,
      0.290390112703257,
      0.467072854221445,
      0.365714454465587,
      0.298760310545355,
      0.361772237280307,
      0.340708494722678,
      0.441856874671465,
      0.439216008052197,
      0.289092338447185,
      0.319246818510026,
      0.291132890802667,
      0.431949211893605,
      0.30627554561024,
      0.302730970655742,
      0.328723847880972,
      0.298850758354471,
      0.212561358678038,
      0.441936116570034,
      0,
      0.00178556017078691,
      0.140333915143277,
      0.15216836889737,
      0,
      0.227023881247024,
      0.100122071665772,
      0.176592248867136,
      0.132761698776786,
      0,
      0.382622553654807,
      0.125195955820852,
      0.120549847545196,
      0,
      0.238276936276781,
      0.0984406901084967,
      0,
      0.251117733661213,
      0,
      0,
      0.281295647190854,
      0,
      0.0319332231589551,
      0,
      0.0858121754260564,
      0,
      0.457727696149819,
      0.115280757560128,
      0.314839086695166,
      0.14458938779247,
      0,
      0.350919709435425,
      0.167359893533272,
      0.190662417429231,
      0.0901278146632778,
      0.0923135044647332,
      0,
      0.457777594391249,
      0,
      0.118621988809679,
      0,
      0.246947612806689,
      0.205089880010753,
      0.0885980389536102,
      0.116706842012887,
      0.16223725639192,
      0,
      0.4468461436002,
      0.10370104704719,
      0.229952666340224,
      0.0441424835159677,
      0.269030177617345,
      0.571378213864283,
      0.295934382796271,
      0.387581998931288,
      0.318668623287835,
      0.244176475726728,
      0.435181863863688,
      0.242796191868151,
      0.47171104666072,
      0.347898061000209,
      0.459266157026089,
      0.357090206190804,
      0.485846449893229,
      0.498554506671778,
      0.438338113146945,
      0.488004800671133,
      0.429957739503534,
      0.316221086424064,
      0.19533232594675,
      0.376685187272099,
      0.343949809541472,
      0.139189402232849,
      0.0686947967316191,
      0.225553252756086,
      0.397304314985398,
      0.231468493894611,
      0.34653640120621,
      0.242114114583726,
      0.215662560248788,
      0.475710362898742,
      0.242625458138565,
      0.293021509478494,
      0,
      0.266636805677236,
      0.450577479005999,
      0.286709270100229,
      0.345069620700675,
      0.22771371922823,
      0.30418298184198,
      0.557976471579614,
      0.315174540703516,
      0.391560887451233,
      0.0709959802509895,
      0.0660555091125987,
      0.402266227228929,
      0.257244895949343,
      0.257762020234786,
      0.269022531559265,
      0.0621112934294608,
      0.500677065394192,
      0.243741704678277,
      0.273539308019708,
      0,
      0.18529810490612,
      0.448758437436815,
      0.246955318919036,
      0.405966053665655,
      0.360225186501748,
      0.276435637961356,
      0.536032239024155,
      0.289209157865277,
      0.409630430451703,
      0.326310818115695,
      0.3309331617349,
      0.436151594682789,
      0.487175128820082,
      0.32767382318901,
      0.370214079451579,
      0.460048996680484,
      0.434166826486369,
      0.354227717567488,
      0.211048706023384,
      0.254660464500889,
      0.29327457017912,
      0.242690275723699,
      0.428060353389534,
      0.392776707767005,
      0.24684297458928,
      0.368805966839442,
      0.120616425771971,
      0.430185788995438,
      0.250398667714599,
      0.219038269795576,
      0.313434326268338,
      0.211348043152755,
      0.43662723693405,
      0.462999706844947,
      0.297699745274609,
      0.330489412195088,
      0.318566573014025,
      0.403313305075536,
      0.279716146874009,
      0.345658802323658,
      0.484703396414615,
      0.276027950003946,
      0.403945751541184,
      0.477128559081211,
      0.310758063484083,
      0.388288445659443,
      0.21812693952926,
      0.228254700001064,
      0.34465193018953,
      0.300424975948975,
      0.328392249513686,
      0.325230995595194,
      0.256950569479279,
      0.509981351730091,
      0.308160442173996,
      0.282739531943207,
      0.320560982801637,
      0.172902489876595,
      0.310114318465903,
      0.364168834238016,
      0.387580108273792,
      0.356529808553543,
      0.260943874999446,
      0.326156346000209,
      0.386697557792412,
      0.417265183675748,
      0.464401326694792,
      0.326315551740393,
      0.231469230557186,
      0.483340820294159,
      0.476725003772231,
      0.257760236075552,
      0.399295188527251,
      0.22365887547468,
      0.474754258312998,
      0.3821515799077,
      0.387076743462677,
      0.348582014552794,
      0.273024286871113,
      0.457033898230448,
      0.468575355282822,
      0.221948117648462,
      0.424585386922956,
      0.121057247057354,
      0.451125480927047,
      0.268679529523797,
      0.170666750555459,
      0.347240901119859,
      0.168344758866357,
      0.437343115492669,
      0.514708299133921,
      0.234817097906216,
      0.364935478794865,
      0.145349661601287,
      0.458944795741771,
      0.450698122965235,
      0.170497882033999,
      0.375244137751195,
      0.133224574129524,
      0.431185381845944,
      0.49548807200903,
      0.165841008126516,
      0.413707255045787,
      0.16504574259111,
      0.423726499372816,
      0.358523439176259,
      0.275630940258573,
      0.433806784224956,
      0.240832214820298,
      0.344738798282642,
      0.516098733331962,
      0.298116510206559,
      0.387468094235399,
      0.327634948837458,
      0.29085197156665,
      0.514216690046098,
      0.257496688006386,
      0.431690545016876,
      0.411868359569274,
      0.514235345132366,
      0.40890341153271,
      0.467325156464473,
      0.465854553064898,
      0.416976440652044,
      0.436495090243876,
      0.422115024240156,
      0.296243423816522,
      0.348571238086819,
      0.413610605878191,
      0.139149661370127,
      0.508657743264703,
      0.224808294738347,
      0.354057765168127,
      0.29833582730018,
      0.239847099206784,
      0.418505206289532,
      0.283025594901646,
      0.412907181442531,
      0.377606306842238,
      0.493147282115354,
      0.533383980071799,
      0.270428424846246,
      0.344362890487485,
      0.298888458902073,
      0.441587155274084,
      0.534224458708312,
      0.261473130143009,
      0.41801255432342,
      0.299129228416873,
      0.251492229843951,
      0.513776657453047,
      0.259797654711897,
      0.491149837547303,
      0.324245619152472,
      0.167513669535454,
      0.444483171220865,
      0.248243679859015,
      0.276049211028927,
      0.369485301195936,
      0.155532327055755,
      0.498194858663725,
      0.302534619982071,
      0.22203709886608,
      0.385416595263952,
      0.28688003256071,
      0.405666896862934,
      0.359757832967015,
      0.270958842673727,
      0.358008956117012,
      0.340561960345786,
      0.505725924909817,
      0.352469385163692,
      0.454942785612836,
      0.364662976946943,
      0.327664064065505,
      0.471995958981845,
      0.409173232074257,
      0.383602546687358,
      0.389181708129312,
      0.313535758718489,
      0.34743668393934,
      0.381438216983728,
      0.279378449385563,
      0.34079414242751,
      0.442697265294373,
      0.309486912335332,
      0.399143881646454,
      0.384384632090513,
      0.324663556512226,
      0.375726497310134,
      0.294302093315491,
      0.449124293327328,
      0.329824924886311,
      0.22268771202794,
      0.359034506516579,
      0.183011587068722,
      0.425250190876625,
      0.495007988914117,
      0.414267997242452,
      0.463027904726969,
      0.405695287925966,
      0.563306151029149,
      0.460201479829203,
      0.340071139190009,
      0.326479308968159,
      0.39027102908775,
      0.238439775781439,
      0.449008645661493,
      0.357968832451468,
      0.242934426090419,
      0.297993104047549,
      0.205836563412916,
      0.284752288611072,
      0.439608827232375,
      0.409000473356245,
      0.277324649841968,
      0.361470512712608,
      0.363642581979745,
      0.398651026714645,
      0.361072931748966,
      0.267859630483295,
      0.32902117609984,
      0.269144377582413,
      0.431696927005826,
      0.365522768910132,
      0.357833959312205,
      0.324675402158111,
      0.352014629525882,
      0.525170845391242,
      0.440210999000053,
      0.367370164165345,
      0.42635299155544,
      0.330374976065844,
      0.527078607061681,
      0.48794472884221,
      0.338323196369941,
      0.378647921987965,
      0.310206915494968,
      0.233966387293185,
      0.389063700147459,
      0.268411116151172,
      0.391187413090392,
      0.314337805020431,
      0.220418934555874,
      0.475055190811774,
      0.319597209785905,
      0.33896185297049,
      0.35538808105322,
      0.302149953279357,
      0.395721943379744,
      0.303259828898834,
      0.268616055570911,
      0.375017921156358,
      0.374391227341212,
      0.542812443739694,
      0.501027129145651,
      0.449550595207928,
      0.353718864691838,
      0.451745272647102,
      0.320687934823837,
      0.328942578145827,
      0.300653078023307,
      0.41116474511227,
      0.425872954210053,
      0.44253259679041,
      0.386896221560712,
      0.256996454333192,
      0.347044776989497,
      0.435920796840892,
      0.486273993443829,
      0.31396550743754,
      0.22570442075063,
      0.203593877205361,
      0.324016785579439,
      0.277140004612746,
      0.351020254938175,
      0.316499205458989,
      0.241132466498892,
      0.265258257197678,
      0.176258214600522,
      0.386600853957835,
      0.503846117904538,
      0.310303547868718,
      0.467635330211824,
      0.292420477259084,
      0.331375254829692,
      0.451448789806857,
      0.366851459117531,
      0.398224991194141,
      0.358152692733129,
      0.384279619764809,
      0.515665948384129,
      0.459737907207267,
      0.308154782892106,
      0.0726036735817257,
      0.270451016162753,
      0.515586105737194,
      0.387060218870233,
      0.376114680581638,
      0.39465525108863,
      0.382476500539341,
      0.444563422546296,
      0.504900161002456,
      0.482625276676722,
      0.421412528669435,
      0.356621198867639,
      0.474667953202739,
      0.472139870969686,
      0.406143966298427,
      0.48386910652161,
      0.449688610011313,
      0.462914186513752,
      0.398341774515094,
      0.368649718483299,
      0.325117065087841,
      0.329925351914084,
      0.292496424074889,
      0.438208543482694,
      0.402195427058363,
      0.384508028772805,
      0.409089495740282,
      0.360408363118534,
      0.411193799774166,
      0.329600451092072,
      0.325818265892348,
      0.371670789076967,
      0.258677503858968,
      0.395934650399827,
      0.487448905542295,
      0.338952326963419,
      0.412310544141723,
      0.281442820481011,
      0.520345328095165,
      0.349485478104396,
      0.383648928455336,
      0.383378652960714,
      0.282642529612148,
      0.473472806969889,
      0.531023072902056,
      0.34703745058599,
      0.375373544103112,
      0.412045952032253,
      0.374336690824877,
      0.408361502901266,
      0.323390216365791,
      0.349166486448095,
      0.324460659146952,
      0.313858820875559,
      0.513131422916143,
      0.3563460076177,
      0.396724359984506,
      0.367902570407363,
      0.288092429108584,
      0.45045970655874,
      0.542598568416573,
      0.398105876203113,
      0.395198704002643,
      0.339740336659214,
      0.477031691947527,
      0.418413253284781,
      0.403752671783606,
      0.472872272407159,
      0.382875157982677,
      0.461832178769027,
      0.357068261497097,
      0.427359662758721,
      0.430675018648644,
      0.345073660739171,
      0.467676321037883,
      0.389683029374735,
      0.332570375370344,
      0.397869158687291,
      0.377842904858672,
      0.321981343130094,
      0.500431066695049,
      0.423194440641614,
      0.349869445783462,
      0.336119461206816,
      0.322273868412672,
      0.450227257649872,
      0.342742465087428,
      0.23882496845676,
      0.384942204966296,
      0.344153646887564,
      0.41996682702269,
      0.444696227049096,
      0.256740868764852,
      0.32374879058745,
      0.279999909830022,
      0.46314122330347,
      0.258877644623713,
      0.228448697736673,
      0.334176014100348,
      0.332510900606031,
      0.21025817583727,
      0.426676922912566,
      0,
      0,
      0.115309701916732,
      0.0842204521422881,
      0,
      0.244380489115415,
      0.0781549775287186,
      0.134019199328262,
      0.156438809021325,
      0,
      0.344710301191077,
      0.0950074843958023,
      0.0972201650935186,
      0,
      0.187109544726032,
      0.0682411316598607,
      0,
      0.20045582295857,
      0,
      0,
      0.304689787242827,
      0,
      0.0378833918500809,
      0,
      0.0249899350421931,
      0,
      0.41233669181208,
      0.0994325894990981,
      0.336635442836588,
      0.155383801156122,
      0,
      0.34707515966869,
      0.158620915661651,
      0.126550823091934,
      0.0657653330485319,
      0.0254422349212449,
      0,
      0.39915919110583,
      0,
      0.0664785490842358,
      0,
      0.248150398272254,
      0.194012215133215,
      0.101866586636396,
      0.0514855685386621,
      0.161287180243203,
      0,
      0.430687668089779,
      0.118972156568079,
      0.263519019366476,
      0.0691673037346272,
      0.228526467599403,
      0.542439474462734,
      0.278179104461545,
      0.39698609847789,
      0.296217203645314,
      0.208530536554443,
      0.415491880370551,
      0.214616367844864,
      0.499385964314892,
      0.330977046764231,
      0.459808814024096,
      0.358581236318302,
      0.49166176619806,
      0.521109899579268,
      0.414473246620423,
      0.448418009849262,
      0.342028783138978,
      0.299280808029194,
      0.171014325192204,
      0.3671011537868,
      0.334452891952529,
      0.0877236370615081,
      0.20681110988467,
      0.202097668451736,
      0.386101392241746,
      0.19034129334902,
      0.308675619408264,
      0.241247513461235,
      0.0888478162168414,
      0.496116903060078,
      0.184776266196194,
      0.295199629286854,
      0.0157777069234598,
      0.201484390333109,
      0.390027940755728,
      0.301061110397328,
      0.320662513383136,
      0.192137287708441,
      0.237701379804269,
      0.516066740577694,
      0.309334424680315,
      0.302117980222542,
      0.0947959573698949,
      0.131995528584515,
      0.377442419017586,
      0.237940301743169,
      0.255348724934636,
      0.226004179840574,
      0.0318440259375002,
      0.525559609551893,
      0.197555898396584,
      0.305246396584956,
      0,
      0.129384276651776,
      0.408172845202148,
      0.193169048714309,
      0.396414770173114,
      0.334388162762402,
      0.180683284309312,
      0.504167106608127,
      0.315383403606536,
      0.319743349539861,
      0.33502196852661,
      0.262406229260095,
      0.423538719278854,
      0.468104768007875,
      0.310742736050436,
      0.37045719878491,
      0.42098573924007,
      0.41352736507937,
      0.342747179423944,
      0.254799632245328,
      0.285369474999275,
      0.321565831749429,
      0.233274036125989,
      0.426136698830805,
      0.412130585146493,
      0.242257157888017,
      0.367832480245765,
      0.142690182794393,
      0.433542106075834,
      0.297478200910476,
      0.175900290183895,
      0.312368446734446,
      0.20533449991093,
      0.442577599536047,
      0.44415359259724,
      0.255833931288531,
      0.347357866383121,
      0.299331274254083,
      0.41914037349545,
      0.312301735919568,
      0.321098415838583,
      0.468293877805019,
      0.323539707258996,
      0.380493489891229,
      0.476455811369247,
      0.231843064230819,
      0.396903300746071,
      0.237529592279964,
      0.231117823916984,
      0.376979020525243,
      0.298082165255246,
      0.323987923657467,
      0.341319745728509,
      0.259494770171444,
      0.505090141524758,
      0.291267887600383,
      0.22983873561959,
      0.332371171326417,
      0.190653947129255,
      0.316549873240071,
      0.390952559877727,
      0.359037706256242,
      0.35278683894001,
      0.264476172656994,
      0.305913733297959,
      0.410044170230007,
      0.3995853699009,
      0.438568343539355,
      0.32928784408467,
      0.22838162380465,
      0.483373318176724,
      0.508161337283013,
      0.236624571593512,
      0.408290674635879,
      0.305332137042516,
      0.430603693394346,
      0.419906193472567,
      0.401158775708633,
      0.357850129981829,
      0.323236615728672,
      0.419962619847368,
      0.492398581282144,
      0.196745713793845,
      0.404606270979581,
      0.185660868115158,
      0.420899996523101,
      0.233207390524148,
      0.181003754871879,
      0.307386456778025,
      0.179535485528598,
      0.431683351615332,
      0.469923854585876,
      0.226989197362882,
      0.356753083305962,
      0.169306876282674,
      0.428048685108013,
      0.415585903707917,
      0.349296339613261,
      0.380252471364019,
      0.161507962690502,
      0.377500158185793,
      0.489115120496739,
      0.166845600630293,
      0.405185285952128,
      0.222375104908128,
      0.352923395592942,
      0.362760384885264,
      0.269826113776236,
      0.398119856287379,
      0.289651790214433,
      0.475536494878081,
      0.512314178843517,
      0.274910096423861,
      0.35359225811136,
      0.323398438296874,
      0.291563598023576,
      0.465307379091613,
      0.296064771876052,
      0.364061599076994,
      0.470388192152011,
      0.501480356088992,
      0.455599811729539,
      0.464432644090329,
      0.479803839582819,
      0.393840564531623,
      0.38909647702329,
      0.417969041386727,
      0.271780921232807,
      0.268000277741466,
      0.425356831424306,
      0.179933278962972,
      0.492711194125151,
      0.230247118121282,
      0.354403551934218,
      0.284236937509831,
      0.216779349520512,
      0.428654897404844,
      0.28273665376243,
      0.38119235383815,
      0.368494682216021,
      0.420778231048786,
      0.51928558558284,
      0.238056730220113,
      0.342641820955566,
      0.329289883467049,
      0.277160832538852,
      0.525176733521584,
      0.273643523479011,
      0.38892469975247,
      0.294966275800186,
      0.186784285147559,
      0.508979778464163,
      0.263693695090204,
      0.36573550130836,
      0.311856872320147,
      0.219650312713168,
      0.491656892998829,
      0.282251808980888,
      0.277969854399348,
      0.357829799721248,
      0.169608084643419,
      0.516857033698483,
      0.314005302250573,
      0.196047269136024,
      0.429543471122816,
      0.254988827871815,
      0.457811595935274,
      0.359138836991817,
      0.30005533823907,
      0.383012184801154,
      0.318688032501536,
      0.50047095410067,
      0.320644962012149,
      0.44562886008346,
      0.347063043810759,
      0.322703567962376,
      0.4450938649561,
      0.434144636647051,
      0.409461314586187,
      0.384950418729841,
      0.320681849238964,
      0.335324943596303,
      0.406057776148798,
      0.291597885280247,
      0.380422046351243,
      0.265110385709871,
      0.295628102251453,
      0.392341694928234,
      0.398494636298846,
      0.318515957128709,
      0.388295904924467,
      0.395610293233738,
      0.405586692463446,
      0.322167042131215,
      0.18620214722531,
      0.341379042459572,
      0.190194175827961,
      0.437456623495116,
      0.468854366934242,
      0.419448705354339,
      0.416655492570406,
      0.395638389042691,
      0.523258470058479,
      0.401789538903451,
      0.302640102015327,
      0.367249694647483,
      0.415183301967383,
      0.379272042103583,
      0.473376053870529,
      0.363729460906064,
      0.272589271617517,
      0.313798767683417,
      0.307981454828333,
      0.271331130992028,
      0.429158639813385,
      0.381912786303798,
      0.283475753814456,
      0.276486452283382,
      0.344340910927551,
      0.421214041454827,
      0.374526456373023,
      0.261057620425711,
      0.353707817334171,
      0.271673416561603,
      0.430472725910118,
      0.389985158944507,
      0.308990246731183,
      0.368227734154448,
      0.378357974643344,
      0.517803390360881,
      0.392206359624424,
      0.286286271543102,
      0.473634343574549,
      0.323311353326313,
      0.485708767006356,
      0.496338892944596,
      0.330914188606093,
      0.393785373067802,
      0.3175655916403,
      0.235852581401992,
      0.437130565244765,
      0.28333585745433,
      0.359279839752522,
      0.353606587285895,
      0.216353763671409,
      0.477384355423787,
      0.294406651035003,
      0.270523575644515,
      0.358410833336817,
      0.324018795861398,
      0.451183787279421,
      0.300925287161399,
      0.288485821314999,
      0.365658649996112,
      0.317149494919082,
      0.527215406060183,
      0.506223939584701,
      0.436160539088035,
      0.362934783870404,
      0.431633950638607,
      0.346132713206354,
      0.387469367623882,
      0.270552892950484,
      0.427685845435429,
      0.390141739510885,
      0.433033544214377,
      0.402959149070587,
      0.289405534909563,
      0.331413539523415,
      0.457906779418493,
      0.476109622968736,
      0.274805674437908,
      0.187812389675968,
      0.165379049219694,
      0.302811401734868,
      0.222068607048467,
      0.305828072550937,
      0.284174888529597,
      0.207612242091144,
      0.238268733579284,
      0.119654749651933,
      0.353479927973071,
      0.470987442754611,
      0.274924958882679,
      0.340406523175359,
      0.281004578108673,
      0.307460230710661,
      0.404736810361193,
      0.380379760861982,
      0.374448194257709,
      0.323359601967736,
      0.397384516772639,
      0.496065795125702,
      0.401151655230288,
      0.336232831433413,
      0.0948868645883359,
      0.263283795348301,
      0.505433484490284,
      0.375315844652235,
      0.353563208762401,
      0.317832721622705,
      0.345973201234783,
      0.425891463436315,
      0.465192393198172,
      0.462231076391406,
      0.421759035605389,
      0.345501599592362,
      0.465115949503121,
      0.440131068477727,
      0.402435302397942,
      0.433558796859556,
      0.407529108699265,
      0.414327852589118,
      0.398326489579531,
      0.35780845233367,
      0.299439732217296,
      0.334974913365853,
      0.315501705181733,
      0.450179672161543,
      0.430155289068622,
      0.403791903142952,
      0.372276199501326,
      0.363315566334114,
      0.430425821095814,
      0.314785574380246,
      0.391334320648682,
      0.358371910774128,
      0.34995894643028,
      0.410538071729786,
      0.478067961685601,
      0.303309075624422,
      0.407720598958604,
      0.316261184995397,
      0.465336207807098,
      0.372204712887846,
      0.358670165324808,
      0.379174990005606,
      0.257286231113561,
      0.470435088514573,
      0.522843957086256,
      0.33789321456432,
      0.364466863454519,
      0.393141860424973,
      0.37868864610127,
      0.40780621809971,
      0.31923425528066,
      0.343963557435373,
      0.337843034322485,
      0.314370603217978,
      0.486707966068525,
      0.348880332197969,
      0.402425081919583,
      0.36336994083012,
      0.223767435750327,
      0.454197483804074,
      0.544343823022511,
      0.353229724840644,
      0.368422502364034,
      0.313340505757782,
      0.470945118979361,
      0.456006842648261,
      0.374328803304312,
      0.384616943260015,
      0.384727032523368,
      0.461716411987664,
      0.368613506409192,
      0.451920210508172,
      0.448749544595206,
      0.306412906824754,
      0.405371609646304,
      0.44740058274696,
      0.321950025402705,
      0.296712087391655,
      0.317721895729879,
      0.321027981159795,
      0.524777444324654,
      0.406742534905921,
      0.463492225374877,
      0.384545699566928,
      0.392312273224953,
      0.474173357435181,
      0.361555425725975,
      0.258054054390563,
      0.38373557228358,
      0.438507594498271,
      0.465498513085257,
      0.47568798959225,
      0.227723756683464,
      0.317704447210801,
      0.316625488710601,
      0.475482363638807,
      0.299237446456373,
      0.238881251355498,
      0.345579566627476,
      0.378331201951235,
      0.206420408972353,
      0.436587986976427,
      0,
      0.00707348168349839,
      0.143480835107632,
      0.00217688444447871,
      0,
      0.200655562607206,
      0.0910464343365796,
      0.107493960537786,
      0.152706299637139,
      0,
      0.339199411604379,
      0.0206747353347837,
      0.0925479911060719,
      0,
      0.16771495534159,
      0.0462326114322971,
      0,
      0.218712934491142,
      0.0331211378472224,
      0,
      0.285870479189804,
      0,
      0.0490862152292775,
      0.0012548561046389,
      0,
      0,
      0.403379674684474,
      0.079089435266443,
      0.348049489596396,
      0.174208386773492,
      0,
      0.264041924297386,
      0.134412137343179,
      0.153420257697384,
      0.0513208502593233,
      0.00716899747446603,
      0,
      0.356658940813405,
      0,
      0.0582818741966289,
      0,
      0.227718271460621,
      0.156085222615253,
      0.125226987967966,
      0.0402770077796324,
      0.19390575449485,
      0,
      0.423053360706297,
      0.13781109213211,
      0.257272526754172,
      0.0753892367464487,
      0.200832804115032,
      0.511680311076748,
      0.240475448399596,
      0.373083316539224,
      0.3305314832312,
      0.184332135869892,
      0.400333135853087,
      0.215866888027933,
      0.458575081988306,
      0.304369675044221,
      0.452099371652602,
      0.325553614776192,
      0.443318482737561,
      0.530144124895996,
      0.36797685950493,
      0.421109313972541,
      0.376331530944286,
      0.30137936901983,
      0.183529114645504,
      0.334968188678633,
      0.32946032327079,
      0.0968177292527679,
      0.183817015687446,
      0.196034362405866,
      0.361565310954661,
      0.175166037567943,
      0.303809017564067,
      0.221236769812896,
      0.106400448716948,
      0.507986483651676,
      0.215005821966519,
      0.27380394072649,
      0.0599088694548157,
      0.216067193907987,
      0.385240377451388,
      0.25655352281036,
      0.325596565495057,
      0.295738244090961,
      0.241765530594642,
      0.50185819903393,
      0.237482152774084,
      0.323115941419212,
      0.0776983302990614,
      0.0984593818898983,
      0.376237987920861,
      0.238597017581201,
      0.231651435507466,
      0.237886075657693,
      0.0194001199669773,
      0.494003061643827,
      0.18570211249696,
      0.250507382131204,
      0.00167727066245757,
      0.115393467450289,
      0.437861008123956,
      0.192602600589164,
      0.39185465566109,
      0.357266074443619,
      0.139222621890693,
      0.475035083119628,
      0.316244674268087,
      0.2999798689958,
      0.328926250724542,
      0.321796749131341,
      0.431493885194069,
      0.459412804398705,
      0.330808761506018,
      0.391587957768996,
      0.43165657473049,
      0.370779582329121,
      0.35590566641058,
      0.289512081575615,
      0.298358449506812,
      0.338439820180411,
      0.217648457294575,
      0.38493735421342,
      0.441325742026715,
      0.234215618890763,
      0.364140288635036,
      0.175807603426399,
      0.406885922485009,
      0.32830628464167,
      0.187202657732282,
      0.277221715012863,
      0.187742899632325,
      0.448213662924766,
      0.470282510503016,
      0.313345155630418,
      0.377338877769279,
      0.25484599382635,
      0.408413022273916,
      0.298199209146643,
      0.349709446474335,
      0.438478003304086,
      0.343813220507577,
      0.346744155048863,
      0.458209570220176,
      0.263254084611654,
      0.385604315220896,
      0.275215574099376,
      0.251059021872148,
      0.333137180710781,
      0.280586953968458,
      0.33312494544107,
      0.366053691051947,
      0.228132293784024,
      0.485393336806708,
      0.273688639758206,
      0.287493916422341,
      0.316807068264816,
      0.247894297603555,
      0.290643693887315,
      0.364381306624165,
      0.379208290430389,
      0.393348888708734,
      0.273931557746357,
      0.268431244407124,
      0.38168514077963,
      0.371834433156836,
      0.444430547598064,
      0.298543543956628,
      0.274985359279926,
      0.491426590154151,
      0.513578310512829,
      0.205118614238108,
      0.411169349933316,
      0.440051417288346,
      0.459846259317281,
      0.349576914591687,
      0.117049761362491,
      0.34991013459824,
      0.295992226857229,
      0.36493215389635,
      0.474304121851206,
      0.162162612042463,
      0.420777440486387,
      0.196027698713852,
      0.490790512011754,
      0.236328511882323,
      0.150545092148032,
      0.357445950126699,
      0.158852859588508,
      0.393629468520546,
      0.458778545621778,
      0.17797463669974,
      0.378940532655515,
      0.174574536571063,
      0.42662087910031,
      0.401279229806429,
      0.222173701701448,
      0.384386961670051,
      0.201821890252968,
      0.376472708683773,
      0.489568983309323,
      0.162256765554942,
      0.412448450536773,
      0.277759344494976,
      0.356192558697882,
      0.358528207661689,
      0.274412966381628,
      0.395816167248728,
      0.243367410374587,
      0.463010912617756,
      0.473474492547837,
      0.306803887916802,
      0.368988358167696,
      0.532908911965652,
      0.390941449357409,
      0.438318084818363,
      0.287885373500456,
      0.366799455368805,
      0.51390526814727,
      0.384836469846607,
      0.500203730962928,
      0.359010001162956,
      0.476943275814105,
      0.37773639282593,
      0.288689530501135,
      0.450955864222387,
      0.306157384541585,
      0.344809196032133,
      0.437194785008576,
      0.203408669579024,
      0.500269067724778,
      0.230106362163235,
      0.329344445449147,
      0.303078956394717,
      0.226699709372484,
      0.455591118839174,
      0.303253058267289,
      0.414958320516707,
      0.357346054414923,
      0.345837380683209,
      0.512397250769478,
      0.304150168677039,
      0.48536602239927,
      0.315687974223271,
      0.296049962296997,
      0.511590683201492,
      0.339029846726525,
      0.3277027345627,
      0.345872835449232,
      0.185002743809236,
      0.505394097929627,
      0.264043399838842,
      0.380018435126771,
      0.31001362968466,
      0.343189282888679,
      0.404520386528268,
      0.294618467517672,
      0.294703333873184,
      0.361884232257426,
      0.182204701134124,
      0.520096479637892,
      0.317242320102741,
      0.22251269840849,
      0.418240037964915,
      0.3154254323961,
      0.350782817352643,
      0.362498021250214,
      0.295135525532819,
      0.407936680832891,
      0.360029668539803,
      0.480025452608756,
      0.326036223573926,
      0.420266494975669,
      0.384925518170291,
      0.322188355581542,
      0.452267996534921,
      0.421587672628442,
      0.371274291671028,
      0.412959885008253,
      0.303970272021616,
      0.355549802888938,
      0.413882688303734,
      0.284378261324476,
      0.347996209371134,
      0.437873096140545,
      0.289702622650103,
      0.424015168724896,
      0.382223235748687,
      0.308975805045669,
      0.395367092871601,
      0.298713302898574,
      0.419566673421525,
      0.333915126594316,
      0.208799253112548,
      0.342624649217536,
      0.203336437222727,
      0.4154861081008,
      0.505630224623294,
      0.385548151860108,
      0.420636415707913,
      0.401416925576025,
      0.508059413060044,
      0.450337519026138,
      0.331086074941282,
      0.30770705916274,
      0.406331342029828,
      0.339256782271807,
      0.430521074750514,
      0.367347917959,
      0.274114994282191,
      0.319656248019186,
      0.281900588136123,
      0.311144785029316,
      0.450256947039173,
      0.422896087240646,
      0.305086746026281,
      0.302863689274247,
      0.255061780314652,
      0.415816243997404,
      0.402129562653374,
      0.24217527813823,
      0.336064847055389,
      0.253222526668077,
      0.432722133710995,
      0.40197643716383,
      0.341602007288529,
      0.35926622946419,
      0.327867876489426,
      0.520728317932503,
      0.41519936190462,
      0.335490853119503,
      0.447940514392302,
      0.352718640361932,
      0.493988911624973,
      0.478006954642779,
      0.332015350229756,
      0.379470389021928,
      0.352965996400895,
      0.246409215924134,
      0.389514579691059,
      0.312408558465021,
      0.341711928406408,
      0.396460370959341,
      0.203237416277915,
      0.475972720750393,
      0.297668867251374,
      0.290467595466795,
      0.391379018195636,
      0.340615835399795,
      0.432967905004514,
      0.324578018899785,
      0.299399742821503,
      0.376003177678868,
      0.329962041089987,
      0.514351106825574,
      0.481315002592977,
      0.430978508290678,
      0.367123684828325,
      0.43297864643829,
      0.358738009963164,
      0.364259164485786,
      0.30300997345074,
      0.378870458381074,
      0.410563535873399,
      0.368347214208988,
      0.398230463874011,
      0.301470054899491,
      0.331323743324313,
      0.482316220424395,
      0.453053509500278,
      0.279086838758177,
      0.210091732987297,
      0.193449993949952,
      0.380442181664995,
      0.28660999569555,
      0.299278044234419,
      0.322578059712437,
      0.238838641906788,
      0.284357089045745,
      0.131340162562427,
      0.361339719618085,
      0.451987147344809,
      0.267829010804191,
      0.32932877489793,
      0.306673701624852,
      0.358021220821837,
      0.374813944315984,
      0.402907916658975,
      0.359994926377992,
      0.332875032791123,
      0.417248295859776,
      0.480938446390751,
      0.434563630873788,
      0.325371455906351,
      0.0957906366744513,
      0.289439465202383,
      0.444710498028561,
      0.406494405344554,
      0.345441362816938,
      0.354601539784801,
      0.363868758783323,
      0.431136028189805,
      0.466993984301679,
      0.486205541243109,
      0.435653193297243,
      0.376728216495912,
      0.458609701624377,
      0.425466117278167,
      0.362433110049214,
      0.452875928116689,
      0.423062420572594,
      0.448152707635419,
      0.362395266456293,
      0.350531244794438,
      0.291803554397954,
      0.373369929830251,
      0.293102641440232,
      0.45689059923038,
      0.416413074428434,
      0.380885894184356,
      0.380783195258944,
      0.358728214834057,
      0.433049547175931,
      0.30394172398284,
      0.33153869584437,
      0.383804136888055,
      0.29828880872098,
      0.41852335523931,
      0.462410856814305,
      0.300356836530201,
      0.394563020331984,
      0.28116148917472,
      0.444793242976867,
      0.422356272382802,
      0.38463059256181,
      0.362228346511297,
      0.289890231007397,
      0.490757603537556,
      0.513057124790696,
      0.332139620535199,
      0.36350412998622,
      0.384597730575825,
      0.363661685588865,
      0.43353345613854,
      0.317311535234063,
      0.344493362963373,
      0.331296576469859,
      0.298447507474178,
      0.495995252888169,
      0.354321322517349,
      0.420222424930298,
      0.388463789768561,
      0.273218179122665,
      0.400992990392146,
      0.49665693713429,
      0.384888145326705,
      0.367069382894497,
      0.317469443109914,
      0.466442986479713,
      0.379169629957138,
      0.368260111771416,
      0.451985312979149,
      0.388417421094388,
      0.53356188528885,
      0.494251597914488,
      0.514759015539397,
      0.487884017130692,
      0.333073068087351,
      0.425937099729829,
      0.358389818815937,
      0.322098515713241,
      0.342320272270983,
      0.327631108145008,
      0.314579955828183,
      0.557006788804787,
      0.506519272060253,
      0.529750303342682,
      0.464321947730237,
      0.447558080529312,
      0.45610348579124,
      0.44139403017272,
      0.43215089123228,
      0.442408486039964,
      0.441129554132378,
      0.477689123473005,
      0.461162291858518,
      0.216676097094946,
      0.296603606940183,
      0.258864625819983,
      0.424307462693233,
      0.285875398654619,
      0.2007757271796,
      0.43442039853521,
      0.405083330911136,
      0.20995168375726,
      0.366840980363561,
      0,
      0.0800697390662205,
      0.133127274697677,
      0,
      0,
      0.182619542940781,
      0.120100007309387,
      0.111846264503986,
      0.187278796508295,
      0,
      0.359153970202679,
      0.013392472362813,
      0.0922684204304671,
      0,
      0.208735530495623,
      0.0546751830585601,
      0,
      0.183673396088828,
      0.0126431801123635,
      0,
      0.316703769470209,
      0,
      0.0465346453062398,
      0,
      0,
      0,
      0.387945730704532,
      0.0870480753613433,
      0.339573318273487,
      0.187702537038638,
      0,
      0.279179420656152,
      0.12546909482784,
      0.118208755557,
      0.0611014101484846,
      0.0472557230515197,
      0,
      0.358458524356777,
      0.017506167420913,
      0.038533776860728,
      0,
      0.232359407951503,
      0.180230035653667,
      0.082476880397,
      0.108572016943805,
      0.149645801673762,
      0,
      0.430111270178901,
      0.148722082824304,
      0.223561145175929,
      0.15270713977718,
      0.225734062799916,
      0.536281296442686,
      0.221591166193619,
      0.34662282168749,
      0.344228783987435,
      0.194373210642493,
      0.450918587544241,
      0.216193949111901,
      0.465947493320312,
      0.330233111321718,
      0.463961787649164,
      0.344918026518573,
      0.43175739444112,
      0.491610523925075,
      0.393755295655361,
      0.403329095317976,
      0.347538117436565,
      0.329460043501446,
      0.170325010604706,
      0.352953032799776,
      0.341662631112717,
      0.145324755654894,
      0.210428009065749,
      0.251498669432755,
      0.367126809516734,
      0.180039655878972,
      0.291180847394441,
      0.242708418153332,
      0.116572014824833,
      0.534449644451488,
      0.207871411408596,
      0.323651010906497,
      0.0667956698005732,
      0.175339911921072,
      0.409047704731958,
      0.295948909765746,
      0.32588212559832,
      0.199178307448604,
      0.229609296377516,
      0.522206012474421,
      0.2616112903922,
      0.287116897600634,
      0.128227825119616,
      0.0842879909870868,
      0.344325931415146,
      0.215497071801132,
      0.262109597595132,
      0.255361859444202,
      0.0548509227133316,
      0.462748585686962,
      0.209794237845666,
      0.289615116330505,
      0,
      0.0971478829121008,
      0.398692200114453,
      0.209737732389627,
      0.348075988376751,
      0.372508868773675,
      0.11505682180756,
      0.48035776530228,
      0.377138544537777,
      0.281169324984299,
      0.300971780224521,
      0.265560451713525,
      0.441059682474385,
      0.488256443806306,
      0.305089902453648,
      0.42191840197509,
      0.434714376907578,
      0.401784527326978,
      0.35611454481978,
      0.174874654217839,
      0.255028510580474,
      0.334597409451029,
      0.238196822728507,
      0.389806966215548,
      0.422155054984359,
      0.233697983522455,
      0.36882335330439,
      0.174610018934333,
      0.430094637205861,
      0.352192388428646,
      0.238526949645066,
      0.3418375561808,
      0.176154753783198,
      0.408579216295596,
      0.480125267903147,
      0.237327783718225,
      0.36973176035998,
      0.291752584699218,
      0.403022584265404,
      0.295122408841004,
      0.311470649005074,
      0.465127551621419,
      0.326185420676125,
      0.354339954358154,
      0.480526253540842,
      0.254449925113749,
      0.36688363049732,
      0.357452375006329,
      0.268102490432789,
      0.351418099701566,
      0.279350830738613,
      0.331424509646571,
      0.362917685067537,
      0.215823146472872,
      0.494882570955418,
      0.230086181246418,
      0.235989030620587,
      0.314091672283542,
      0.230634513437865,
      0.302582757914897,
      0.345301520491046,
      0.358872134393896,
      0.368270996759655,
      0.265015605415672,
      0.248637215030066,
      0.395304384413929,
      0.395925702093057,
      0.468437611901636,
      0.279300001400567,
      0.282566212504249,
      0.40516402608373,
      0.490141029589413,
      0.220793372863211,
      0.399461338452923,
      0.283426115273204,
      0.395216054310204,
      0.37530860773863,
      0.383138717501427,
      0.371670679116819,
      0.327057335331832,
      0.388512874468577,
      0.475816288342516,
      0.198869569990624,
      0.446876939332818,
      0.176616698808913,
      0.448600506701939,
      0.251173960274992,
      0.170490616497928,
      0.401153471808289,
      0.166882467996885,
      0.437412383725502,
      0.460941856684436,
      0.1979214221528,
      0.359974870309378,
      0.144840949522181,
      0.43191533835038,
      0.385363051780227,
      0.297351961162058,
      0.388351620457002,
      0.202662091845118,
      0.348679145244236,
      0.469778815456296,
      0.156391611832591,
      0.402725858179444,
      0.268419722020463,
      0.372081904491733,
      0.322913643242305,
      0.255787441999277,
      0.441267583619624,
      0.270270567643312,
      0.326612684223219,
      0.516901447767223,
      0.263247489968199,
      0.407535902760044,
      0.565518879159488,
      0.314648922327113,
      0.459219900059667,
      0.286051945788969,
      0.372424440396912,
      0.43853027989696,
      0.439098412834007,
      0.462924978246708,
      0.444099119527552,
      0.369343072682566,
      0.359358847991992,
      0.41865307164414,
      0.391962971637182,
      0.286731778348843,
      0.301907248735709,
      0.383836687768925,
      0.155534502751779,
      0.498461870054982,
      0.249730902290181,
      0.347099542836108,
      0.299329350974985,
      0.226546182296487,
      0.408893341061136,
      0.310464655934059,
      0.376536470453779,
      0.348246004396228,
      0.476600493856974,
      0.545776043681213,
      0.23031065682476,
      0.429504862453094,
      0.308243390998515,
      0.394649668928968,
      0.575993257356494,
      0.277437132940721,
      0.356751966184909,
      0.368568673117922,
      0.211051885476618,
      0.486137091922236,
      0.248854022955508,
      0.511462299478297,
      0.336748401944673,
      0.196029577954858,
      0.421599874342137,
      0.262000722600617,
      0.257951525927312,
      0.359950227426689,
      0.206671735623663,
      0.516045469620259,
      0.298820740759014,
      0.257880733313228,
      0.410172157942575,
      0.239939558710546,
      0.423382098598001,
      0.348713737283111,
      0.271914875668183,
      0.385044056473911,
      0.312594845918178,
      0.518047407865354,
      0.343910289035813,
      0.383690125314829,
      0.362789307206666,
      0.344257519052062,
      0.441213778454381,
      0.412651651049398,
      0.438871885236206,
      0.399489499231497,
      0.347983014650779,
      0.359665750289264,
      0.359819161359656,
      0.313465590093602,
      0.325639841606927,
      0.326307472248177,
      0.290939503714145,
      0.3906739715654,
      0.369902864826836,
      0.350888256470147,
      0.421231804960654,
      0.353233748167015,
      0.421297416330726,
      0.312272136411434,
      0.227055370261885,
      0.373613099785484,
      0.212535055496218,
      0.387819306501315,
      0.515569448397067,
      0.352478219900575,
      0.376526441012108,
      0.431878567402302,
      0.533645207381816,
      0.401868844065505,
      0.332508455603537,
      0.361607975831694,
      0.374556217376805,
      0.277091587430809,
      0.427672416502352,
      0.388329815668231,
      0.264802800426163,
      0.319385014120002,
      0.263092106593344,
      0.329051994978992,
      0.41174747845979,
      0.418042349089504,
      0.305618365755314,
      0.32707606284887,
      0.270958563411625,
      0.427806615735522,
      0.414640074286285,
      0.242558393477309,
      0.354417356530657,
      0.294485419803561,
      0.391485397524124,
      0.421795402721948,
      0.287859792179474,
      0.327766854424482,
      0.331451777954019,
      0.468339479683277,
      0.396138817800829,
      0.320369169732147,
      0.442929446199819,
      0.316007354427769,
      0.565607765034259,
      0.504533795134804,
      0.316918760491381,
      0.380001039757797,
      0.368915656697979,
      0.267207651897968,
      0.396988238087985,
      0.280657859188075,
      0.302995999170362,
      0.383036983347882,
      0.234258704966247,
      0.510173374183437,
      0.302984974954134,
      0.316955424688062,
      0.395858557830984,
      0.377397428984684,
      0.39891679570275,
      0.294664610163604,
      0.27004002996513,
      0.395719829464359,
      0.293172457855786,
      0.512816332952876,
      0.497287906920704,
      0.382728403967325,
      0.352962231889995,
      0.385973568274222,
      0.334799497145616,
      0.377861641332057,
      0.297910189571816,
      0.420085842483434,
      0.357094733390896,
      0.388505602306866,
      0.415119990709046,
      0.36687752407329,
      0.36042700071294,
      0.453215293357251,
      0.448391690208138,
      0.293109721075692,
      0.216206846069302,
      0.210122270857339,
      0.375893759324717,
      0.30806793489534,
      0.282645391516085,
      0.364696276272375,
      0.293262445236592,
      0.262019279469921,
      0.255105207443962,
      0.39377936938099,
      0.429172696358627,
      0.204159648768456,
      0.369149364978094,
      0.2825329792864,
      0.305472817661842,
      0.41823751145146,
      0.398193734686297,
      0.369738734120683,
      0.324679311276576,
      0.43227622275583,
      0.510950377226875,
      0.413330230683406,
      0.339286262813152,
      0.097360169319877,
      0.26653894799912,
      0.447154038159313,
      0.385091492700598,
      0.348857769954015,
      0.323318685047374,
      0.376660764820564,
      0.450277336222224,
      0.467075105945821,
      0.438509300426555,
      0.406110975288395,
      0.353674754117527,
      0.452499516120507,
      0.449288160509709,
      0.369198323643622,
      0.438294223190885,
      0.376157607130411,
      0.454738044621651,
      0.334074523381448,
      0.325272738603322,
      0.312980030282362,
      0.345421977276183,
      0.299388055260116,
      0.476584120038928,
      0.405816529195329,
      0.417811825619327,
      0.407159874757897,
      0.35775421323168,
      0.418572620983859,
      0.307664689863059,
      0.317764333692329,
      0.394450832894272,
      0.310633771057992,
      0.444766047939171,
      0.470253690081949,
      0.330592053989634,
      0.375242881242955,
      0.333962871110117,
      0.456192094579612,
      0.414550001883731,
      0.369858219625867,
      0.34804539329763,
      0.25167687478334,
      0.508176131576343,
      0.496309135251104,
      0.299734897547589,
      0.347274647116629,
      0.394125324677419,
      0.358646223268051,
      0.402690204261372,
      0.30041720560078,
      0.338249291147024,
      0.335116850294196,
      0.250298510836758,
      0.501112447890657,
      0.34474483113353,
      0.404560757772629,
      0.39359376755274,
      0.223158360622714,
      0.429229248465821,
      0.46949311339889,
      0.369474804623216,
      0.387171580162806,
      0.310463498704954,
      0.490509288284374,
      0.381971589632381,
      0.354005895209827,
      0.388267778060322,
      0.389637205239654,
      0.451394241203687,
      0.371978918685182,
      0.439562151115339,
      0.407177641267556,
      0.307224500719418,
      0.422319515587568,
      0.40322558995167,
      0.286695921943757,
      0.279574292171488,
      0.319747071773878,
      0.297059707714698,
      0.518668147142538,
      0.441036178537324,
      0.391230491593209,
      0.366108243224596,
      0.333081602621383,
      0.42500776865368,
      0.321045834915747,
      0.300769134037948,
      0.379419583248844,
      0.343743448239764,
      0.439909806485005,
      0.43339409929477,
      0.228177083338479,
      0.364921882226823,
      0.285988274504588,
      0.414052229072819,
      0.28092692886569,
      0.206056843775924,
      0.30182637608635,
      0.300897648829833,
      0.221916295718308,
      0.419549329204278,
      0,
      0.16231027343027,
      0.138886973372806,
      0,
      0,
      0.17980454930525,
      0.196559951773154,
      0.112232158001203,
      0.176884870482588,
      0,
      0.389897153477552,
      0.0509072188502253,
      0.134211748142282,
      0,
      0.205091447843085,
      0.0491621316867072,
      0,
      0.206432590162259,
      0,
      0,
      0.272455549930039,
      0,
      0.0284639280271004,
      0,
      0.0113185376252732,
      0,
      0.405923380467559,
      0.0929189422905582,
      0.341864646327859,
      0.203746182877701,
      0,
      0.270077687647261,
      0.15635799457173,
      0.0317813265678276,
      0.103162207079644,
      0.0893059452473087,
      0,
      0.380642345097604,
      0.0459250554430474,
      0.0476008299603501,
      0,
      0.20453608753027,
      0.159396379132594,
      0.0648351264747992,
      0.0918304909341641,
      0.174922953370657,
      0,
      0.43607611719817,
      0.151294952824587,
      0.267241651449016,
      0.160245078031181,
      0.28208492549591,
      0.521239065757656,
      0.221645503327706,
      0.33381149314568,
      0.29594906856567,
      0.219600265655339,
      0.379710001381564,
      0.214217877121624,
      0.466641918406844,
      0.320357329572903,
      0.45457962678325,
      0.3331056911146,
      0.413063437301155,
      0.486133016597188,
      0.427053732105011,
      0.398545187347473,
      0.364422023444579,
      0.296344518130273,
      0.14999280644687,
      0.35622880443479,
      0.32384414550454,
      0.125132257129112,
      0.16464205937857,
      0.224999080377568,
      0.376602736548523,
      0.171544529164309,
      0.239795021732749,
      0.210043852039801,
      0.0964682898676357,
      0.495666121621526,
      0.20820428943482,
      0.268123890446958,
      0.0162912222259343,
      0.24565402355863,
      0.369852024885149,
      0.204912059881491,
      0.307594685840289,
      0.259885374042559,
      0.226612651559828,
      0.502973408606541,
      0.218387909270619,
      0.29927580009015,
      0.159032129336999,
      0.131009274408718,
      0.374786440784113,
      0.229850267876115,
      0.241666223258982,
      0.225625886016999,
      0.0671707264073206,
      0.474970245952251,
      0.195171731001043,
      0.274637089796211,
      0,
      0.0694189564768563,
      0.404826446577978,
      0.209831392112158,
      0.35049798495279,
      0.399783221110666,
      0.186819164633559,
      0.483766560948416,
      0.406230362008333,
      0.295071080625927,
      0.255717527056586,
      0.23375162830269,
      0.428340030104684,
      0.440421997313902,
      0.294923777100722,
      0.388368197473821,
      0.435195938259396,
      0.429323437240112,
      0.361658138851718,
      0.19223467030599,
      0.277015887988269,
      0.34476947171319,
      0.221375420438475,
      0.363631965790408,
      0.398452801387917,
      0.181801074210989,
      0.361418351486183,
      0.174629874253209,
      0.403109505780518,
      0.328155159026889,
      0.220260489840566,
      0.308870475349666,
      0.12369665913874,
      0.412416654399491,
      0.458998268072392,
      0.27855714005694,
      0.351983153019548,
      0.245414694957972,
      0.396836539904898,
      0.250634665126467,
      0.326752895592751,
      0.418502368661889,
      0.352644593330449,
      0.320134468330505,
      0.459637359744184,
      0.199309869153319,
      0.351876317211365,
      0.268077549628733,
      0.23363325452788,
      0.352594019789813,
      0.300737743583591,
      0.345361781834701,
      0.338098655411469,
      0.245040843623636,
      0.476144643930755,
      0.22460250263697,
      0.241763141124895,
      0.282629801097616,
      0.244942494509917,
      0.291708275744772,
      0.352475103983692,
      0.355968045539586,
      0.316663883276883,
      0.242344807238644,
      0.267243476910261,
      0.362451917492488,
      0.37774411995575,
      0.438887857084201,
      0.302788690710937,
      0.244953571938181,
      0.38344578104894,
      0.48154809178074,
      0.198821570904503,
      0.346862573797588,
      0.276480955018658,
      0.441216368101996,
      0.366060019265203,
      0.350067957077602,
      0.410657760441947,
      0.303808556023159,
      0.397313887381924,
      0.451018208821236,
      0.15785978085298,
      0.388564390704552,
      0.0951855473514513,
      0.455201279942094,
      0.233097867239913,
      0.119294256048318,
      0.378048205462131,
      0.148796809192829,
      0.424764501019675,
      0.402913419843857,
      0.164306879667214,
      0.337253948598999,
      0.120186658343287,
      0.4034430601996,
      0.380802577376311,
      0.295703462411518,
      0.391517588618345,
      0.161053355001216,
      0.363028102345031,
      0.481290956044709,
      0.156035088799142,
      0.374371764958524,
      0.22353859959603,
      0.447216549980281,
      0.311899766031044,
      0.255177254996299,
      0.425694293442901,
      0.260517889745502,
      0.460138347951295,
      0.491408331955415,
      0.263075179461001,
      0.38411707242423,
      0.378339601848402,
      0.270850994206981,
      0.414672344956569,
      0.247655184133724,
      0.36953772651119,
      0.452363362270893,
      0.492445827742351,
      0.368483845678874,
      0.400187932018519,
      0.469788723269031,
      0.340003540779915,
      0.308722300687398,
      0.396831780066271,
      0.299719944556315,
      0.326128439356301,
      0.378182930733982,
      0.160808888394435,
      0.487856394485455,
      0.214974274016704,
      0.376287503800965,
      0.281598147191092,
      0.229050752452064,
      0.346173425534961,
      0.329513036717859,
      0.407201943113553,
      0.355024611191953,
      0.331821828092988,
      0.487978790166752,
      0.286338101429262,
      0.344837848668271,
      0.29546982130839,
      0.597740738264741,
      0.565240818143978,
      0.262914875409516,
      0.379131988178942,
      0.31030257687183,
      0.269961605491032,
      0.472841694771384,
      0.242396305431017,
      0.358445383688715,
      0.282286912238863,
      0.193639912924476,
      0.413333794128444,
      0.234035721347766,
      0.242333577016833,
      0.308705486714431,
      0.190154870042053,
      0.472212238730406,
      0.257246450735278,
      0.228337227375576,
      0.374809470298375,
      0.28282121657346,
      0.43360926836996,
      0.323811140695643,
      0.246650509329001,
      0.335190250841101,
      0.292928987211124,
      0.485814359555626,
      0.289808333171832,
      0.392990054217933,
      0.343232856929054,
      0.298285225064854,
      0.439047581516615,
      0.418782163600689,
      0.378560655358463,
      0.450844601561497,
      0.316104986885348,
      0.371401424200219,
      0.375452365080637,
      0.261802347618702,
      0.327100131459634,
      0.494583732418816,
      0.264802282916846,
      0.37209974207569,
      0.332316472126162,
      0.34444173958163,
      0.428805398206028,
      0.318619008247782,
      0.402496021428142,
      0.287732386532343,
      0.193154423232563,
      0.365546333349872,
      0.171799404179079,
      0.367239735327459,
      0.476256495577154,
      0.417837152691726,
      0.403793563280377,
      0.387898444062793,
      0.528838012020834,
      0.417058058795266,
      0.30980907592753,
      0.318833075197729,
      0.349098115876429,
      0.278013925734703,
      0.396528017376488,
      0.356330707240421,
      0.259638712963136,
      0.283514881713791,
      0.197677431223899,
      0.290865545485548,
      0.377846499789481,
      0.398132455169785,
      0.323450212235133,
      0.314630383286963,
      0.235995639443615,
      0.405967025080797,
      0.348977992172568,
      0.244710875975554,
      0.345940118070179,
      0.270797780327471,
      0.433127760861043,
      0.376572384010293,
      0.259436871878886,
      0.317902793114197,
      0.333022674723767,
      0.480730351929231,
      0.40827605750319,
      0.314381668128833,
      0.440778345336674,
      0.313929522766563,
      0.542495950567394,
      0.465326968789765,
      0.306536779944869,
      0.357928221733973,
      0.317390392642252,
      0.275735236051338,
      0.379174651986863,
      0.258962375334294,
      0.350942808782134,
      0.370079345757094,
      0.240383615411852,
      0.485155243072822,
      0.320622791462066,
      0.343844138602608,
      0.339070698824616,
      0.35058417782178,
      0.380742792511236,
      0.278850716868928,
      0.290122522874351,
      0.329877741624432,
      0.334906231262712,
      0.502613501519446,
      0.49524140044944,
      0.387506888532543,
      0.315694415694646,
      0.405357973009833,
      0.302419504444832,
      0.389498794634147,
      0.298446877142529,
      0.409898512795366,
      0.357073510179742,
      0.428706824821825,
      0.370515694895385,
      0.351693727934709,
      0.30367189981207,
      0.427019519284825,
      0.434275803298669,
      0.31011019017888,
      0.235282677854866,
      0.262129527552772,
      0.344424215971294,
      0.316945133707993,
      0.313278536208013,
      0.350227758889629,
      0.261234585046433,
      0.284375684756497,
      0.259327459486554,
      0.370998820284145,
      0.440141010506912,
      0.206390327746378,
      0.378868300581318,
      0.261194020224195,
      0.286994080615178,
      0.428726749001143,
      0.3460297824309,
      0.374774183412033,
      0.367786151783445,
      0.389850268149911,
      0.46399735885245,
      0.397923766933771,
      0.363252118723634,
      0.116834864276742,
      0.254005986756056,
      0.449319079781102,
      0.364924017048618,
      0.323466453550294,
      0.345531478955468,
      0.332837384465623,
      0.439721386997347,
      0.461594137494873,
      0.442379758959161,
      0.387503686528108,
      0.36489257575631,
      0.451686502560215,
      0.445205109763335,
      0.382325529723236,
      0.449950719978516,
      0.420147184212173,
      0.415442688101178,
      0.373901858115197,
      0.289631968891853,
      0.293328016439685,
      0.330738375113178,
      0.297769570572742,
      0.421363952375102,
      0.39766970830524,
      0.361027151159741,
      0.394652712190422,
      0.370908350628616,
      0.405900601564796,
      0.354577110447022,
      0.317789770107173,
      0.353340443558007,
      0.338450022265882,
      0.446472642311801,
      0.419518706793086,
      0.363392850682541,
      0.387635701180628,
      0.369975423679236,
      0.466821991987254,
      0.406639902441725,
      0.364565512730915,
      0.371829092072536,
      0.29919821269126,
      0.448889026526784,
      0.480358878217359,
      0.294313639313982,
      0.318337604719191,
      0.397434773284627,
      0.337673863698944,
      0.375234084752094,
      0.307947294041759,
      0.288183130289617,
      0.324626939764088,
      0.270610690077266,
      0.487106756005143,
      0.3414542965831,
      0.445607298932664,
      0.378427086138099,
      0.24594584990808,
      0.456726257767943,
      0.440167681669958,
      0.403812126057173,
      0.387188857545889,
      0.320658685464881,
      0.449071408157333,
      0.423046941013064,
      0.359095585397549,
      0.440431061821912,
      0.413347443239648,
      0.447941526664167,
      0.37382378587215,
      0.443526071394101,
      0.390361615892002,
      0.363021434551454,
      0.425607360779505,
      0.416405821119042,
      0.340936394814226,
      0.347173286939523,
      0.361913097683264,
      0.307019979915745,
      0.479700090281203,
      0.387151117222236,
      0.373694811129364,
      0.390973539564734,
      0.314756962670705,
      0.450140760691682,
      0.351933060262429,
      0.283601986676967,
      0.385283738200613,
      0.324230777107954,
      0.417829412731264,
      0.413294754282348,
      0.293640872941863,
      0.307318747583078,
      0.257728403755732,
      0.427262604444922,
      0.317547548194604,
      0.260393939517122,
      0.314599169483683,
      0.298220461318783,
      0.240436107747058,
      0.398532840558139,
      0,
      0.210456431865657,
      0.146497906736897,
      0.00489674236463947,
      0,
      0.187852710241218,
      0.1605903147036,
      0.166947102403479,
      0.179629347251426,
      0,
      0.400075247345362,
      0.124016864019408,
      0.213345127669764,
      0,
      0.231264517254855,
      0.0465813269084667,
      0,
      0.202485922600615,
      0,
      0,
      0.25378093216192,
      0,
      0.0757445534840736,
      0,
      0.0291629896730631,
      0,
      0.436483347014415,
      0.0773522562211105,
      0.364170831355238,
      0.155728924434051,
      0,
      0.311416018616599,
      0.18580582735988,
      0.0447768026183654,
      0.163946217681678,
      0.122856016731268,
      0,
      0.388728462059454,
      0,
      0.0189610887316207,
      0,
      0.219540573692775,
      0.179117134516867,
      0.031331172482627,
      0.120981195829986,
      0.216169968953281,
      0,
      0.451121531781546,
      0.188675979162775,
      0.229227053501146,
      0.169122300697982,
      0.264813243666617,
      0.517252130251337,
      0.275834673308419,
      0.312476469283439,
      0.290454366416571,
      0.217767845780606,
      0.400182716895709,
      0.210178769043808,
      0.438237219919228,
      0.341061374217128,
      0.445128406441976,
      0.328053936350356,
      0.457490303501548,
      0.495730882851504,
      0.37888857948474,
      0.409483690977919,
      0.330955179298319,
      0.295979861390363,
      0.140674277777941,
      0.372837047393566,
      0.334001394902086,
      0.111568002642962,
      0.193965360602493,
      0.243241231941678,
      0.396929286608971,
      0.20849854220279,
      0.241283782065034,
      0.195708689714772,
      0.134177533634798,
      0.527941267032841,
      0.217509087167535,
      0.298183799168783,
      0.0286815081624529,
      0.296928341913046,
      0.367244642593551,
      0.247233928339166,
      0.341220272291856,
      0.232008167691676,
      0.247630945045238,
      0.503234455988752,
      0.227776891230285,
      0.316784322611709,
      0.167333906427592,
      0.0846199820009464,
      0.360345194044409,
      0.270741249327301,
      0.244621895821661,
      0.256553314773696,
      0.0455600144983282,
      0.502329435488238,
      0.201862461004809,
      0.262999934474836,
      0,
      0.112115593108174,
      0.43061662811911,
      0.220094324673862,
      0.374431740295681,
      0.455613668993617,
      0.182591922496984,
      0.487567593177611,
      0.384166973260305,
      0.314958005578055,
      0.264500321732015,
      0.253914541610113,
      0.432733726075987,
      0.457712756364825,
      0.29423498538679,
      0.311336965911144,
      0.423327014215779,
      0.403184966738971,
      0.38024143695084,
      0.177439003835029,
      0.251888557476731,
      0.381813910076471,
      0.200072728320268,
      0.329572762870988,
      0.391249283234281,
      0.220474114363561,
      0.309855366131118,
      0.14421145676131,
      0.421596652091984,
      0.320551076106381,
      0.170508197515114,
      0.288755028842925,
      0.145784819722957,
      0.426443804767717,
      0.445416316415051,
      0.203331302606435,
      0.281852109568673,
      0.271377455292734,
      0.372571049687044,
      0.223437467022532,
      0.302445006577847,
      0.448761075246839,
      0.365543414157452,
      0.339038269132463,
      0.458467333349288,
      0.224994981526902,
      0.341989356111635,
      0.247389443752877,
      0.249331197084925,
      0.338869966957155,
      0.28086396436459,
      0.343739926440812,
      0.266227221241881,
      0.250023721258338,
      0.50500441757878,
      0.230184923722494,
      0.229349395296456,
      0.27677613211881,
      0.238372997884548,
      0.23306145201477,
      0.298345750119295,
      0.300714288063142,
      0.30567896626334,
      0.191547486126962,
      0.257699551403455,
      0.38537467843054,
      0.353331953781534,
      0.46111549931034,
      0.326841928891721,
      0.213721065811491,
      0.471018462341942,
      0.481126432109063,
      0.167427435790328,
      0.320421740417661,
      0.401160312798514,
      0.441059032687006,
      0.27671244407744,
      0.215174439599594,
      0.355763822308166,
      0.217006015701004,
      0.411229403651385,
      0.430553054977703,
      0.18182009063013,
      0.320651168464695,
      0.0614140401226432,
      0.439719569700509,
      0.202714799812358,
      0.147984785521269,
      0.306734144331853,
      0.137751058288888,
      0.380491028556556,
      0.432353816115959,
      0.169070260191055,
      0.320869967876963,
      0.0679607110186062,
      0.424163596430183,
      0.414787829877987,
      0.238695270631625,
      0.341544406427831,
      0.0981356061776181,
      0.416999010834514,
      0.48568390552567,
      0.141124823841097,
      0.314944648637859,
      0.14992585560309,
      0.395588979417106,
      0.261678174375302,
      0.307485152069509,
      0.387881398204375,
      0.294833408711766,
      0.450206060263698,
      0.495477359985253,
      0.28058615469598,
      0.369705848335276,
      0.28983007024868,
      0.299760939740037,
      0.442172185101107,
      0.230704888207586,
      0.393860851106088,
      0.496961110617644,
      0.32119223910265,
      0.36288185157835,
      0.401084651646403,
      0.469139888929239,
      0.313209521812819,
      0.336387095220171,
      0.370085774837589,
      0.297104596544351,
      0.302171139876012,
      0.314171747545432,
      0.114100359149527,
      0.465985380762852,
      0.218020888197726,
      0.330528226355554,
      0.23376550932041,
      0.207675584465087,
      0.325837283525448,
      0.280369019179858,
      0.348747595952334,
      0.329419585209304,
      0.409421611507729,
      0.482911004533321,
      0.308964176676634,
      0.321537321987384,
      0.2625892750646,
      0.439089507788627,
      0.481619097770918,
      0.31661422270421,
      0.398932297504245,
      0.292246894339489,
      0.226119216922699,
      0.457827393758719,
      0.251921099202718,
      0.307402471755772,
      0.247578747641228,
      0.303879763298694,
      0.327270507416485,
      0.218397151657324,
      0.231286502355902,
      0.300936864358823,
      0.136579053958116,
      0.476036556649422,
      0.264808237377265,
      0.234334181820075,
      0.277427215673535,
      0.252866638272866,
      0.322677574974239,
      0.316473838182635,
      0.250438507491525,
      0.351121471793576,
      0.298322191708325,
      0.448283758673086,
      0.265426018161369,
      0.414253745544897,
      0.274931504843151,
      0.308369689189932,
      0.391430560232838,
      0.382827943374778,
      0.384330764188184,
      0.307218054393377,
      0.301002987703417,
      0.349080966627138,
      0.392791294585522,
      0.281955891044668,
      0.348381924262847,
      0.388643737195596,
      0.286081910532404,
      0.329309042099783,
      0.349939332291382,
      0.319165425095282,
      0.380869811043926,
      0.445039735055499,
      0.43055744589242,
      0.302802408509092,
      0.208006941136159,
      0.304083383411717,
      0.209049766225594,
      0.351665709354247,
      0.458048882113701,
      0.418678355634837,
      0.350713732428959,
      0.408899214978223,
      0.50797164952934,
      0.435004480511557,
      0.267598890862243,
      0.346598707987747,
      0.315823058336407,
      0.271414195453156,
      0.438769583206522,
      0.314655151084061,
      0.257229483460503,
      0.252036628091727,
      0.153085882101905,
      0.241879959304905,
      0.359428925399409,
      0.385282504599965,
      0.338025971881175,
      0.32065512528852,
      0.227237787806792,
      0.39596987360656,
      0.349257003236544,
      0.22562953927601,
      0.35670393079882,
      0.256262393478934,
      0.451886905836813,
      0.38614189243601,
      0.225200280333399,
      0.328703171782705,
      0.36678357597145,
      0.499940071373283,
      0.457389448137463,
      0.302996248594205,
      0.390660612226511,
      0.313309817972895,
      0.541742138533078,
      0.456752084684752,
      0.313514260535432,
      0.380068767404714,
      0.203639406655497,
      0.296172915435067,
      0.342094957360097,
      0.275602837283104,
      0.332697964370979,
      0.329503972956261,
      0.213006633280635,
      0.455846358311171,
      0.285191469565689,
      0.290343187500933,
      0.269709930089641,
      0.340827836185743,
      0.385871963172742,
      0.30348589628371,
      0.291040624864615,
      0.267812211685382,
      0.354327718249207,
      0.507700971262534,
      0.473777544792268,
      0.436075865078673,
      0.32622911729145,
      0.410335249579936,
      0.327642903079806,
      0.359491663008472,
      0.302002663877474,
      0.377750013942603,
      0.288862665381767,
      0.425445750655718,
      0.320790677147688,
      0.303797053080244,
      0.249235935329233,
      0.45907860850589,
      0.456402704284507,
      0.307507280728614,
      0.210784798931433,
      0.247955466308839,
      0.28595733876372,
      0.238606510281926,
      0.302604318828491,
      0.292463307115361,
      0.177196627598529,
      0.250081217475176,
      0.202292176421089,
      0.376264484114774,
      0.461968178306069,
      0.263934122640903,
      0.403569547223415,
      0.28397158682096,
      0.338296413008189,
      0.404687175222887,
      0.319904726903427,
      0.350128988504357,
      0.334489194624355,
      0.374086938819735,
      0.461484376904913,
      0.403308590198638,
      0.330199549480617,
      0.16070200400283,
      0.312973959949471,
      0.455995075591023,
      0.35387527591626,
      0.340369751773874,
      0.36244646225798,
      0.341678266035657,
      0.461212968615503,
      0.461784034603276,
      0.485483812215793,
      0.401676628851423,
      0.356560552711257,
      0.438480347852975,
      0.436731582450686,
      0.381048042546138,
      0.502420586449961,
      0.438576064616146,
      0.449656731919093,
      0.372202304182451,
      0.290277633707466,
      0.307884159257941,
      0.262472062245503,
      0.266639678984158,
      0.412202756624128,
      0.397561503168034,
      0.365221901315876,
      0.394926801541864,
      0.322863251594119,
      0.402382338091821,
      0.355089334879923,
      0.323445057506911,
      0.367813663999817,
      0.302159145637503,
      0.434325970994166,
      0.435421708985455,
      0.324478032981498,
      0.390369946549892,
      0.361435146250264,
      0.476983370755575,
      0.372225468303301,
      0.336723788837383,
      0.342309988428533,
      0.222781944753518,
      0.422441889585069,
      0.477782561140249,
      0.26074309535696,
      0.337605616184583,
      0.325133427305176,
      0.366703995450601,
      0.306781631652297,
      0.265764596009738,
      0.292140072305748,
      0.30571297287831,
      0.262881827684696,
      0.431399979761349,
      0.333654622312907,
      0.434756901870671,
      0.338803213072581,
      0.27135290384622,
      0.463125609914789,
      0.368281345364761,
      0.39705809243866,
      0.384446862826252,
      0.216639433509233,
      0.459258776900694,
      0.399062028018264,
      0.351036733570569,
      0.349059800759568,
      0.361816184742257,
      0.460775256065764,
      0.466147825980122,
      0.477390842525547,
      0.451029687655302,
      0.3485169854466,
      0.453200214743302,
      0.331599152273502,
      0.351698422980167,
      0.284145302282899,
      0.348945816589487,
      0.319591583904438,
      0.515699547371778,
      0.444571790058527,
      0.396094668958679,
      0.443432552257883,
      0.425448814104319,
      0.473752194415018,
      0.402771273608959,
      0.36141420772389,
      0.39662990093369,
      0.338975823489716,
      0.45422144587253,
      0.420441375252014,
      0.293512669376541,
      0.312099078137195,
      0.254269426851098,
      0.400341054267698,
      0.290837994376581,
      0.255975400997857,
      0.393824010047517,
      0.383559248811315,
      0.211797659973628,
      0.384348010499907,
      0,
      0.24048344940397,
      0.111528099533466,
      0,
      0,
      0.183188920931806,
      0.116987132541721,
      0.198591024977092,
      0.197625741533634,
      0,
      0.384270578587156,
      0.121449214687118,
      0.212346047870072,
      0,
      0.226363034644506,
      0.0327672599761322,
      0,
      0.237375175149531,
      0,
      0,
      0.232090161736583,
      0,
      0.0512443160152252,
      0,
      0.107050923830128,
      0,
      0.473007148603022,
      0.106996817129477,
      0.394451034932968,
      0.18039971722734,
      0.00857906285622001,
      0.328482369636264,
      0.21389602470666,
      0.111089800587465,
      0.160942387527784,
      0.215480307703097,
      0,
      0.397788513314208,
      0,
      0.0774460777362952,
      0,
      0.189523966660472,
      0.189995635660388,
      0.0401251107357317,
      0.115514497583735,
      0.308601813239505,
      0,
      0.435769776028045,
      0.137422774940597,
      0.230174260318445,
      0.156099885031324,
      0.246393239716976,
      0.524549827775391,
      0.316226704451885,
      0.301936558288615,
      0.288147116112915,
      0.243202220106466,
      0.373538590454273,
      0.196309973773433,
      0.443349960632749,
      0.32924612850497,
      0.439026631239931,
      0.352527854910153,
      0.475445119414431,
      0.457206716938708,
      0.365236650881525,
      0.441320690885951,
      0.324422529856466,
      0.265579008692435,
      0.116050086895229,
      0.335331876071243,
      0.372884029191331,
      0.115515862177641,
      0.145672331182906,
      0.265669210626058,
      0.438742262015648,
      0.239570728399608,
      0.213387513658467,
      0.221070943714113,
      0.151320871431037,
      0.504864297800286,
      0.230731043740062,
      0.306161221615935,
      0.000618871664419033,
      0.291467521726963,
      0.426854159660544,
      0.199635699844247,
      0.338484317294567,
      0.288259718425845,
      0.252774072565097,
      0.525090232321563,
      0.214631027970403,
      0.381724474491865,
      0.176684263040674,
      0.187142120954512,
      0.37117546645268,
      0.200863114869641,
      0.232390041883283,
      0.230977896120479,
      0.04299107300245,
      0.516838037628182,
      0.224239170074171,
      0.25805691093073,
      0.00210359692017942,
      0.221435969016928,
      0.427458560306893,
      0.265404355430622,
      0.485273029768028,
      0.382122367410618,
      0.242210379998278,
      0.478026941881668,
      0.39290838310641,
      0.370428734466873,
      0.287055840611135,
      0.322849236105638,
      0.412114563783398,
      0.440315023690205,
      0.307261899819922,
      0.314350165668374,
      0.420528608059067,
      0.383499091194993,
      0.382632854669826,
      0.155562779020166,
      0.216568562078798,
      0.41384693427207,
      0.214046158144497,
      0.327091556241456,
      0.416749979870347,
      0.224452856676817,
      0.277678654890812,
      0.084747418974512,
      0.358888961848408,
      0.2655542324396,
      0.147635528704675,
      0.290250288603297,
      0.140859079668686,
      0.412961655102389,
      0.428028091449709,
      0.251295814049344,
      0.261424113964574,
      0.199220287087344,
      0.415995113091739,
      0.200844355205392,
      0.313340202355468,
      0.462466091082142,
      0.374055503423497,
      0.378691599636415,
      0.44987803916337,
      0.196391718871475,
      0.33289733194343,
      0.189111667188976,
      0.259683674766332,
      0.331954399255048,
      0.296856411188307,
      0.351793173589318,
      0.264302510820758,
      0.251208554965754,
      0.484947555247145,
      0.208780248603343,
      0.237094397405507,
      0.250592195479938,
      0.218566194837076,
      0.301410183293365,
      0.309573341290007,
      0.370297806531423,
      0.309548441800359,
      0.174315894147376,
      0.247361464924011,
      0.376631202019771,
      0.381436099092716,
      0.450901517496615,
      0.303957832404603,
      0.243267492351625,
      0.437606673485986,
      0.487231748252166,
      0.202117804923538,
      0.298545448046113,
      0.236457406425403,
      0.42146763243441,
      0.360990452760093,
      0.3693004361367,
      0.335840517918228,
      0.22430991103686,
      0.411185676199227,
      0.439173071254832,
      0.183511209672679,
      0.296204039993235,
      0.0109255001578676,
      0.506730491950101,
      0.224808613702623,
      0.109155263221602,
      0.279430680540154,
      0.107184932611569,
      0.442553307291038,
      0.489033339377303,
      0.171484043386499,
      0.317179261920898,
      0.0446517944743531,
      0.465815733615609,
      0.447083928321815,
      0.300684782057667,
      0.324232433913202,
      0.104153904559942,
      0.43763552498108,
      0.479652207679909,
      0.154771185221927,
      0.320415321865401,
      0.0893053448025905,
      0.368611485040168,
      0.280554732281731,
      0.315817800194341,
      0.40107781681137,
      0.329635967104963,
      0.335334998747267,
      0.487151149524295,
      0.261839860386024,
      0.333868162820683,
      0.502555433310798,
      0.373510125444126,
      0.452049869042364,
      0.188744204785328,
      0.416317962235686,
      0.382431919202605,
      0.428640309837122,
      0.353744442133141,
      0.439447092412747,
      0.381725876572678,
      0.281648745112953,
      0.377273775788125,
      0.378171539013681,
      0.263375057127882,
      0.303539410987643,
      0.276305905645675,
      0.0813735128381515,
      0.464721951613747,
      0.166164589000102,
      0.319777036705929,
      0.203464280972568,
      0.196077602371585,
      0.313982379759555,
      0.247768194603489,
      0.369724458652671,
      0.304478623015235,
      0.42613443316851,
      0.473016040834743,
      0.203414243816307,
      0.469497625151961,
      0.183225831113927,
      0.265895582436067,
      0.468074260518325,
      0.199895019993306,
      0.286675438979916,
      0.255109211508781,
      0.197552075802761,
      0.472719382047128,
      0.28486603123366,
      0.466642742523881,
      0.200309736331369,
      0.161845723901089,
      0.421363616739068,
      0.205785255198808,
      0.202190512439777,
      0.278283338990997,
      0.112794537881787,
      0.478408295470688,
      0.26477751007724,
      0.226725144679345,
      0.249777062426938,
      0.266228909356453,
      0.415645756209172,
      0.333588256169724,
      0.232742083257294,
      0.267922759586189,
      0.276706228165676,
      0.464866668366186,
      0.257860272599271,
      0.385794933960503,
      0.288611334886185,
      0.3028823886997,
      0.401792614624494,
      0.404680308729998,
      0.346067039921204,
      0.384680317861525,
      0.290460144868987,
      0.361774693051623,
      0.403912169375559,
      0.318684946355858,
      0.373722754563474,
      0.529431291359978,
      0.258359709710985,
      0.362414856767322,
      0.388457430062796,
      0.338403023762236,
      0.461468784416259,
      0.4124766930444,
      0.431232761987413,
      0.294514750721116,
      0.247614854259948,
      0.316415552546031,
      0.281999229840919,
      0.38760147540924,
      0.480046831800149,
      0.447587397123051,
      0.428673597781257,
      0.411529329850334,
      0.507734471048235,
      0.488744080075441,
      0.354247346051097,
      0.293918949632547,
      0.32294800675201,
      0.355818603452918,
      0.455378680229134,
      0.317586132387845,
      0.251783215551685,
      0.218350170451751,
      0.135763395421521,
      0.257806110732679,
      0.328445124248977,
      0.405602288719154,
      0.325675446367001,
      0.279872936999928,
      0.239735778722609,
      0.411904617927345,
      0.351373230016827,
      0.275336952759839,
      0.407998540646286,
      0.248547464352542,
      0.404578057271678,
      0.358342851513695,
      0.334253253297144,
      0.314754826424647,
      0.342644000418686,
      0.503714600783357,
      0.438305708307395,
      0.334273462289553,
      0.437746708248767,
      0.330634053806338,
      0.56407222777696,
      0.459341280262827,
      0.269543734943831,
      0.335175375592615,
      0.207340023991906,
      0.296542038779332,
      0.325513276639406,
      0.240229638372845,
      0.303753088772165,
      0.319765706332775,
      0.262800315362226,
      0.464875720003534,
      0.263230783904702,
      0.289789481505476,
      0.297512703058387,
      0.405306515907514,
      0.383827018906471,
      0.272110183068086,
      0.315588300889156,
      0.264550044744354,
      0.307437368836287,
      0.479850261730905,
      0.457075502181886,
      0.416958084073974,
      0.276759567686784,
      0.381314183283242,
      0.372778734164194,
      0.332246348966184,
      0.281693526468238,
      0.366563315029411,
      0.331847166633482,
      0.338860203652769,
      0.307522064691207,
      0.257799955595114,
      0.252366360587724,
      0.425987745537124,
      0.489054735076283,
      0.323870470457976,
      0.186772445233461,
      0.216636365681575,
      0.284936232866382,
      0.234786634116394,
      0.279756644682349,
      0.294715775660718,
      0.174180532094941,
      0.284300248270619,
      0.209831149967047,
      0.370280430292046,
      0.486036699587646,
      0.261767851443058,
      0.413510411984173,
      0.318973285305417,
      0.342865241293066,
      0.415394165363084,
      0.332303104775585,
      0.336694141993546,
      0.357298580064244,
      0.41399054114413,
      0.479047983992034,
      0.416115208974092,
      0.326594111080824,
      0.2138995112739,
      0.316999075193479,
      0.477295893227642,
      0.37468775041803,
      0.363314375858299,
      0.434154951491279,
      0.391605604716453,
      0.456560877690675,
      0.482503019550355,
      0.473793642953509,
      0.429202558516336,
      0.3551098137004,
      0.446937519579114,
      0.452150001139331,
      0.34487696239,
      0.478252834583223,
      0.37774831479678,
      0.450904163806815,
      0.368770498649231,
      0.284157490204542,
      0.314617454365754,
      0.275710025124549,
      0.334520694764163,
      0.346185450134291,
      0.373026237716201,
      0.379438556139321,
      0.356637132066952,
      0.339943798019179,
      0.392328635481588,
      0.297729207672517,
      0.31214493176151,
      0.327720645258184,
      0.287844582967042,
      0.451488929542377,
      0.439868569824499,
      0.288443448730153,
      0.379032903361178,
      0.295731871198525,
      0.483291527902709,
      0.379549343940792,
      0.327605891386707,
      0.328351885085789,
      0.240012698550041,
      0.446226309906837,
      0.485496826171312,
      0.229799906381745,
      0.357629677516968,
      0.270338303020823,
      0.407540465189039,
      0.3444465610159,
      0.283697146815848,
      0.287597619303014,
      0.297988117294055,
      0.285033468879554,
      0.455189779494491,
      0.385596430926755,
      0.399113002110285,
      0.303683342781598,
      0.244880940048163,
      0.457490923339479,
      0.33515245626602,
      0.380909250525357,
      0.376576511317923,
      0.210022674056383,
      0.47483369913104,
      0.391216393207769,
      0.356245337569867,
      0.427364506203976,
      0.373717448873296,
      0.455451446949371,
      0.433776177875625,
      0.457636464775303,
      0.435913733193826,
      0.296765704535066,
      0.445412878685265,
      0.416625533129727,
      0.331716968405336,
      0.388766199915161,
      0.332270830938465,
      0.295971339734022,
      0.508592725865574,
      0.479258955947956,
      0.520726095360049,
      0.427257039397672,
      0.401744529441153,
      0.457800357400656,
      0.399656830843034,
      0.385346856997095,
      0.398706019497788,
      0.444282712321827,
      0.431537240177266,
      0.399796799969865,
      0.284129881474059,
      0.321576745141898,
      0.258244003428727,
      0.430338683390053,
      0.260445451569623,
      0.217295046255068,
      0.385755212423408,
      0.337861584008706,
      0.16104933623038,
      0.371125197238725,
      0,
      0.121108554113598,
      0.113185456836219,
      0,
      0,
      0.190929831808665,
      0.126803083763151,
      0.185605826571667,
      0.235696277102245,
      0,
      0.394845051760465,
      0.111193334913507,
      0.17948086862588,
      0,
      0.233563146010402,
      0.0528830391904424,
      0,
      0.221821177128509,
      0,
      0,
      0.235274520823418,
      0,
      0.0207457098406286,
      0,
      0.168502257827732,
      0,
      0.443454330687107,
      0.144517174826043,
      0.430596215186257,
      0.206097575091215,
      0,
      0.326113908682365,
      0.17122023916218,
      0.126146460486409,
      0.128265631685899,
      0.246139417864117,
      0,
      0.408885622894751,
      0,
      0.108140213524296,
      0,
      0.174007761178725,
      0.148168839134858,
      0.104670501723861,
      0.128546833302446,
      0.241130974778013,
      0.00906252365855793,
      0.469374051331504,
      0.118955057010015,
      0.244531832518064,
      0.0995975700266156,
      0.218589654216256,
      0.506760743004075,
      0.272921095805908,
      0.323081601750399,
      0.296379863230537,
      0.213103621441704,
      0.370342575769989,
      0.199830722152638,
      0.428650257489431,
      0.307430382089477,
      0.447251222422228,
      0.33864447735469,
      0.461746147810724,
      0.463526575263379,
      0.379285690285208,
      0.393671821502568,
      0.277824765785422,
      0.262633620252779,
      0.17056777835545,
      0.283452026309354,
      0.339940755363241,
      0.148424753590168,
      0.166868623534869,
      0.225692097354848,
      0.391920326905889,
      0.225995085154751,
      0.218288476837345,
      0.216080343157406,
      0.127703344087267,
      0.493902229537697,
      0.21474371875983,
      0.287551150342044,
      0,
      0.2790673747823,
      0.421289652023654,
      0.240354826815046,
      0.332163424154166,
      0.293427746212065,
      0.250343012320193,
      0.479428634778037,
      0.231025164459203,
      0.342562279425143,
      0.16598857893204,
      0.168715787342224,
      0.375483961336059,
      0.204176413897381,
      0.215166149468187,
      0.217443478361294,
      0.0717924897984085,
      0.502457538256232,
      0.220158443187139,
      0.266909150438773,
      0.00977204899393045,
      0.206645808223068,
      0.404082617131771,
      0.257768752433348,
      0.425261609846913,
      0.33926541328602,
      0.237583332702145,
      0.456319713627425,
      0.378962177609881,
      0.32797799304589,
      0.282250112831344,
      0.304901623138396,
      0.367039195201062,
      0.401467696556547,
      0.279961586949226,
      0.355064136123437,
      0.408180241299553,
      0.369175783162217,
      0.339761026377506,
      0.222597262982652,
      0.233529576918097,
      0.423665455870382,
      0.223926938248656,
      0.327004196847711,
      0.377817437171032,
      0.243628532556456,
      0.283957570635002,
      0.0605497009569731,
      0.355023293931257,
      0.280619819942494,
      0.173294003917947,
      0.258457628242535,
      0.230764745034498,
      0.406262425855373,
      0.408351847717828,
      0.212691203418271,
      0.309290839789699,
      0.219953380083097,
      0.404374651846293,
      0.240010225485325,
      0.305098678774353,
      0.441633196463362,
      0.391028582690901,
      0.393597317144532,
      0.426635669108416,
      0.193611560333326,
      0.335448687074523,
      0.219731173773207,
      0.235310079409306,
      0.361165827847477,
      0.339353030235104,
      0.335002168069705,
      0.279198731897814,
      0.214202546565262,
      0.472271897997774,
      0.237597662391164,
      0.254636773845749,
      0.25047773694998,
      0.279066641605888,
      0.315891677097726,
      0.347005470749903,
      0.344877242190909,
      0.30656486313334,
      0.235348288727243,
      0.290000591385625,
      0.363533968496523,
      0.380118160581911,
      0.401010332859161,
      0.285160427598214,
      0.25012635620791,
      0.390515228342008,
      0.443887391927744,
      0.185552775714084,
      0.283842087512643,
      0.302599132878294,
      0.408493586547323,
      0.314152058999209,
      0.12802100994415,
      0.332587399288197,
      0.170871923600973,
      0.380977001521138,
      0.440279881739442,
      0.182922371770077,
      0.296262399722813,
      0,
      0.487015649764147,
      0.232697270011206,
      0.116707330602352,
      0.266410567977041,
      0.0860304022742505,
      0.400939908246784,
      0.465457390352477,
      0.174400979574539,
      0.315805544809801,
      0.0385372826774796,
      0.419569414745831,
      0.37088904101363,
      0.14329859237537,
      0.320631062824956,
      0.0745661591779408,
      0.397055874685917,
      0.493137952825827,
      0.130215250895229,
      0.292313113871245,
      0.102082893175846,
      0.372101414060651,
      0.271820918245793,
      0.342415067012674,
      0.381437308358834,
      0.326701301895411,
      0.446290987154467,
      0.471287034003737,
      0.293185163567521,
      0.326620973478127,
      0.52578885197004,
      0.325755641669561,
      0.399816093684724,
      0.265065633050441,
      0.388064594002122,
      0.43774000497289,
      0.46470376631097,
      0.326517546738584,
      0.343572061940444,
      0.462117631660223,
      0.297303009531175,
      0.250169044791467,
      0.391942636925244,
      0.243625694458016,
      0.305306345340099,
      0.255277352584746,
      0.110449748166843,
      0.460263943083157,
      0.158177660683362,
      0.310179096459004,
      0.195553736827401,
      0.21175245701707,
      0.315647021895539,
      0.233950897251757,
      0.349063404888872,
      0.287086640588688,
      0.295606629182818,
      0.469020668488117,
      0.31828687114513,
      0.41410846104408,
      0.187725374760547,
      0.232116534266764,
      0.431121164035698,
      0.24842801117074,
      0.270586458557431,
      0.245484234573963,
      0.173426585791661,
      0.475575072684383,
      0.279695435826007,
      0.424926805720832,
      0.191124936396317,
      0.193616974851733,
      0.339631431692165,
      0.250490076723455,
      0.224953235097928,
      0.264561712027672,
      0.123362689164194,
      0.458931041682979,
      0.316964679231297,
      0.238977749225053,
      0.261065871448336,
      0.265589301269272,
      0.355584523530476,
      0.358743514902771,
      0.271647260958624,
      0.275152614636279,
      0.300442925256446,
      0.483530846270633,
      0.301121506594614,
      0.407372013250353,
      0.272893100865771,
      0.282951320940637,
      0.393295477880187,
      0.372429286493679,
      0.41953617749088,
      0.326382095767377,
      0.361173097031529,
      0.366736285633092,
      0.432954315201968,
      0.338957456911137,
      0.380888725277211,
      0.452561735649933,
      0.224058319723356,
      0.357764906285239,
      0.373615490031082,
      0.330352472981955,
      0.442035172976795,
      0.479091235938413,
      0.446827517837203,
      0.309947699588404,
      0.240457141403496,
      0.335704554070985,
      0.345795201870758,
      0.376623286270222,
      0.439282576494548,
      0.423529690053046,
      0.416480107904395,
      0.375803197395167,
      0.481173721183293,
      0.44689421672296,
      0.313655716048042,
      0.272780046088143,
      0.311734700927731,
      0.279517482694342,
      0.41737112518994,
      0.28962933851491,
      0.270663905797785,
      0.217926762446166,
      0.179841454677903,
      0.282755955083459,
      0.31479605550954,
      0.371544501414222,
      0.340087025789409,
      0.282259974179607,
      0.225071527046412,
      0.406546088877676,
      0.355312817021438,
      0.298248061015513,
      0.378954961525012,
      0.237236650076045,
      0.427466699462514,
      0.348487469168969,
      0.345202032693933,
      0.334644597917411,
      0.344691300144045,
      0.474470711612342,
      0.401786279495265,
      0.316562515910116,
      0.419044206943461,
      0.369035771333592,
      0.592252921729706,
      0.464901900529415,
      0.247678920805801,
      0.330409452091488,
      0.213831895353162,
      0.286108154842357,
      0.35081847513508,
      0.246717269196066,
      0.307317611645527,
      0.322827341459791,
      0.293553819694407,
      0.44064930257868,
      0.299124256104673,
      0.278579828831524,
      0.393783102175557,
      0.384493520179084,
      0.383814336298161,
      0.284601069555285,
      0.283900691764397,
      0.282353809203615,
      0.361398150087008,
      0.467974269833828,
      0.461375782217071,
      0.381196234679422,
      0.238377014294061,
      0.366568742723392,
      0.357573168861765,
      0.319275120091789,
      0.295786809597182,
      0.35610373821281,
      0.252196877271019,
      0.34326283002651,
      0.303259031346097,
      0.262210391460286,
      0.246650372195866,
      0.434741618270548,
      0.487668442725817,
      0.321233690046469,
      0.239028769828837,
      0.256875385496457,
      0.385027911805855,
      0.294740867511775,
      0.298878505931632,
      0.334225982744761,
      0.188000653327359,
      0.336083652590094,
      0.223307651624913,
      0.4102097429305,
      0.447768830569688,
      0.211908397698006,
      0.388112366072096,
      0.361394693367329,
      0.358569290383932,
      0.395295001524662,
      0.331788404774024,
      0.373995485686637,
      0.374246721775368,
      0.431965817902284,
      0.481121443644451,
      0.431557811100308,
      0.335142474722266,
      0.259187978836742,
      0.358535843015612,
      0.44117668916516,
      0.363433941329412,
      0.356468072799476,
      0.421867998260735,
      0.413200331383458,
      0.432630053413118,
      0.48396065489244,
      0.448389399388787,
      0.402110075843312,
      0.355657102994889,
      0.464846855600753,
      0.450793474671815,
      0.320999910981133,
      0.466162605674829,
      0.384801810893215,
      0.451187646150896,
      0.375752399632583,
      0.291645854705735,
      0.362208039160614,
      0.27816410044009,
      0.321086019404066,
      0.329995360814223,
      0.390722259822675,
      0.385000950385613,
      0.353914020004352,
      0.341655371717752,
      0.379765018944595,
      0.310951119920768,
      0.318726923998729,
      0.396115057111276,
      0.341529427370104,
      0.488016318155086,
      0.441275380656832,
      0.282125265974483,
      0.345831225408042,
      0.348797876978658,
      0.479853425921857,
      0.428306736081611,
      0.34969092316891,
      0.327409224292117,
      0.248722187265761,
      0.433442370783504,
      0.484084744464951,
      0.274627365423511,
      0.338343569713644,
      0.269625929908857,
      0.403305234386685,
      0.371654987851662,
      0.338558741350135,
      0.312860009486955,
      0.282842269382613,
      0.263241729567534,
      0.455954922217733,
      0.397095502762146,
      0.387006878420665,
      0.333619635676183,
      0.274494263777824,
      0.421821974834937,
      0.345823059906528,
      0.362433042053354,
      0.358002993638191,
      0.21372185876516,
      0.422352576903379,
      0.374498265398622,
      0.35006856841892,
      0.333892298566282,
      0.36644731967579,
      0.415990363839302,
      0.368134665407229,
      0.398733476516325,
      0.389776530815117,
      0.308786979978352,
      0.433826704469382,
      0.35785587949395,
      0.338951205089148,
      0.325018806815772,
      0.289096961866717,
      0.278701088533229,
      0.462884371125937,
      0.382201939358785,
      0.460291318854938,
      0.353951874909046,
      0.332199526765419,
      0.423754220799512,
      0.370740139512853,
      0.369502628903104,
      0.334165717175108,
      0.350829260307271,
      0.386962461911469,
      0.431219659964148,
      0.246961294198552,
      0.280139311621529,
      0.278195452490918,
      0.414733129940603,
      0.237746220408784,
      0.218623780471116,
      0.252285316687607,
      0.272769718528577,
      0.196377616812741,
      0.368422348692943,
      0,
      0.0892395596323603,
      0.105479737506944,
      0,
      0,
      0.184445048015576,
      0.166211893841151,
      0.241698009753333,
      0.243281683150858,
      0,
      0.326929165398702,
      0.12541143968108,
      0.184542031096934,
      0,
      0.169139721891754,
      0.0404152548372493,
      0,
      0.189149471738152,
      0,
      0,
      0.236550696984063,
      0,
      0.0267994463061734,
      0,
      0.171830856839806,
      0,
      0.387489470201365,
      0.192491951792825,
      0.431331735389795,
      0.184412293419275,
      0,
      0.246199182294697,
      0.187861957824656,
      0.168045161080098,
      0.145119947378958,
      0.260513039053616,
      0,
      0.374098364320261,
      0,
      0.114304034283152,
      0,
      0.103240163652944,
      0.181895839845078,
      0.108978044426743,
      0.224497114802998,
      0.261352834410474,
      0,
      0.395705667117776,
      0.0512790346183138,
      0.284360944170061,
      0.0975259695447178,
      0.167052265263451,
      0.472954873088498,
      0.215266466407513,
      0.316503882480695,
      0.327104883084279,
      0.205659359835056,
      0.347833063916969,
      0.18973491080064,
      0.415639117315219,
      0.292053281862894,
      0.445739548718768,
      0.315511643676925,
      0.441705501937266,
      0.489215066736034,
      0.383081695833425,
      0.381348990536185,
      0.296853688812468,
      0.284398068550188,
      0.210269709821456,
      0.282905253123219,
      0.26924321097234,
      0.13126415392793,
      0.184203091654911,
      0.222980421465807,
      0.330212257912342,
      0.189122698172475,
      0.230380784562549,
      0.162558721283451,
      0.110894798514766,
      0.459985526988534,
      0.192671246712692,
      0.298654815635458,
      0,
      0.18745875274229,
      0.352466201232785,
      0.190679533780731,
      0.313294568515786,
      0.277476256268337,
      0.224815442606116,
      0.457312169655012,
      0.241170537984701,
      0.320620032427689,
      0.209152659520419,
      0.273709814505916,
      0.326886845090964,
      0.199211346144009,
      0.206215415619187,
      0.213087822155304,
      0.08089239138974,
      0.484311823153103,
      0.179179094488958,
      0.232532229028109,
      0,
      0.103142670104193,
      0.418463407203215,
      0.232221967552706,
      0.337915248269314,
      0.385075070585342,
      0.248926138693379,
      0.44176641340554,
      0.330719174162819,
      0.295069247000232,
      0.298960444090038,
      0.233508943593141,
      0.370591200186286,
      0.410866219585016,
      0.242639459513546,
      0.310483663386266,
      0.372936258517864,
      0.362322184028774,
      0.344659286320365,
      0.244539779497673,
      0.235558857617486,
      0.383288894199475,
      0.198158718891816,
      0.304045999947035,
      0.37878855921648,
      0.20052022214256,
      0.263769493453545,
      0.0948373890749303,
      0.33908368311498,
      0.244233958097707,
      0.233631001757409,
      0.321504772487475,
      0.19533645575741,
      0.413521608885424,
      0.388404893586584,
      0.217156481788377,
      0.2958406569499,
      0.215677434713008,
      0.362802963340729,
      0.208946399437284,
      0.323489016753261,
      0.408931775376683,
      0.401043390076603,
      0.361789225110258,
      0.411095068990299,
      0.190468039566024,
      0.311423040924572,
      0.275712293892562,
      0.214294450064825,
      0.351000711284335,
      0.317640763220301,
      0.31147411704098,
      0.285613332619604,
      0.156541364315448,
      0.460481951455342,
      0.234315220231377,
      0.246734491781292,
      0.25256803052642,
      0.29342741383045,
      0.331991912093665,
      0.380628246123392,
      0.367698726224933,
      0.303117908410032,
      0.217887209412859,
      0.326246895096909,
      0.375246280554554,
      0.339922100144381,
      0.412938291086412,
      0.262657952157253,
      0.224852295237231,
      0.407441536024739,
      0.439683005468529,
      0.19074274505288,
      0.280589208406099,
      0.358616718209089,
      0.407231123322445,
      0.320690114528435,
      0.312094146809468,
      0.29673977651016,
      0.159973403086043,
      0.352904713995348,
      0.448318507489847,
      0.139203979375932,
      0.257147660905177,
      0,
      0.449762351481309,
      0.19160116079312,
      0.0990940713956035,
      0.280134497828983,
      0.0693256357853781,
      0.355485214354813,
      0.421067662150863,
      0.154700165670202,
      0.237444804422361,
      0.0140031350890079,
      0.345526823817369,
      0.365024445345586,
      0.253970484054695,
      0.315691417193451,
      0.0483685890568262,
      0.303587690830221,
      0.449943222895084,
      0.116747631148632,
      0.281245537185026,
      0.0740977016525778,
      0.318799386826081,
      0.264099766294031,
      0.325705603514583,
      0.34875340461544,
      0.29345565232309,
      0.384189098789384,
      0.477200753941352,
      0.237445598018954,
      0.318754017013973,
      0.343217941779165,
      0.317446996954297,
      0.405237433748824,
      0.241532084804378,
      0.311554263287021,
      0.448656843072532,
      0.306636340191908,
      0.371515418070114,
      0.405011287500778,
      0.415116414334124,
      0.300243654077459,
      0.343677569080168,
      0.40345948817636,
      0.219278781893561,
      0.27855823780831,
      0.250958687615896,
      0.0865926496973592,
      0.471381643062147,
      0.195546443321665,
      0.332173435053967,
      0.178797361828218,
      0.221161983540568,
      0.264588400435313,
      0.228981694024853,
      0.331808531632668,
      0.27022792154825,
      0.414119233050321,
      0.442477949092225,
      0.314379815042697,
      0.337189730996216,
      0.20152132829622,
      0.527392912168276,
      0.514906192167908,
      0.292691124802999,
      0.306772672094341,
      0.252919160977972,
      0.172930973157975,
      0.458783650050159,
      0.27617414092064,
      0.299986616121982,
      0.194543027961667,
      0.240610591861144,
      0.369387147085003,
      0.231755029617788,
      0.241254254311765,
      0.230556907802723,
      0.0963959842024967,
      0.457784813610618,
      0.299180722064896,
      0.238190114056896,
      0.277700311450907,
      0.357879101691603,
      0.358014348666903,
      0.373688887606338,
      0.286548459807786,
      0.287703109849282,
      0.282388472814256,
      0.468871136155733,
      0.26707085248272,
      0.398524572593016,
      0.225524405352414,
      0.284918974642926,
      0.381569476529648,
      0.39028048965395,
      0.391010878388643,
      0.460970617901136,
      0.397080215721318,
      0.382233303249484,
      0.438915022662506,
      0.374468221029105,
      0.405452133740462,
      0.527888394679544,
      0.239196704175467,
      0.317616552774794,
      0.381897245928834,
      0.33061325784123,
      0.47233666656257,
      0.465201598823567,
      0.388311112504689,
      0.35182077793251,
      0.225310749442614,
      0.307450354372367,
      0.390009384013372,
      0.389231910174795,
      0.448919608491795,
      0.43315700966977,
      0.391535375487567,
      0.392059722247769,
      0.458437679667459,
      0.411315155292467,
      0.334730074364423,
      0.27237662051083,
      0.368032415615236,
      0.323467991329653,
      0.449141000530659,
      0.307593451413549,
      0.253632200790664,
      0.224500767720233,
      0.208797559119936,
      0.254416304864136,
      0.346896022654921,
      0.354062921472405,
      0.365605495774729,
      0.289449618221068,
      0.280049657811844,
      0.327375162764332,
      0.365366195608059,
      0.243405466863369,
      0.402437101241701,
      0.215994639922647,
      0.361743734889782,
      0.377343911160271,
      0.35076209855368,
      0.317819403093843,
      0.367916208902536,
      0.469609079685463,
      0.355604715823758,
      0.329720447251833,
      0.43945504961526,
      0.345364161393719,
      0.57662626476133,
      0.421100603150206,
      0.246121768301996,
      0.343372646368126,
      0.2208338755392,
      0.302278051780669,
      0.301259874876945,
      0.222700722021578,
      0.301940173944358,
      0.322381567180601,
      0.290720989330088,
      0.461729404132105,
      0.320631855034279,
      0.306157896665497,
      0.442571079908191,
      0.403586148445137,
      0.355218512440312,
      0.322079040221708,
      0.333578371204326,
      0.2614923531663,
      0.379101992364088,
      0.443768183293904,
      0.443207053434293,
      0.340079325642474,
      0.264812708403987,
      0.35402556738019,
      0.351148104566623,
      0.288790356856086,
      0.31251111981241,
      0.323086956345902,
      0.262224078995492,
      0.414206113742845,
      0.279803118354117,
      0.270571296675989,
      0.219129683897139,
      0.408854040881312,
      0.480230321456053,
      0.301640224262209,
      0.279637806067809,
      0.274728665539771,
      0.393360775267096,
      0.306130809019706,
      0.290425467156198,
      0.324060437417642,
      0.2903130395551,
      0.37797763139784,
      0.265372396633724,
      0.410137290154789,
      0.388206853466759,
      0.236651008864881,
      0.337376442528907,
      0.367460819785983,
      0.360196254280249,
      0.376490140021317,
      0.369473654967438,
      0.373963492392308,
      0.373978701918012,
      0.401538425393216,
      0.468190657971198,
      0.383247412352902,
      0.343909463976655,
      0.310513232465697,
      0.377645176088422,
      0.421144693034979,
      0.346160664830837,
      0.391594662105482,
      0.403626842541524,
      0.441542617196863,
      0.416896624030386,
      0.472873954687589,
      0.45384829239077,
      0.386429582431084,
      0.360854529137582,
      0.413485451438236,
      0.44681004595289,
      0.377248073876891,
      0.419356734658553,
      0.395329855252062,
      0.507281214061964,
      0.393636127340737,
      0.287989564270072,
      0.292774733395872,
      0.254909220026253,
      0.318411519768707,
      0.349346536123271,
      0.378774983840352,
      0.355926170097744,
      0.333533041362845,
      0.349522899854743,
      0.39719950441449,
      0.316174201829792,
      0.32366901905122,
      0.364585657665395,
      0.305691688738986,
      0.473024706213683,
      0.406131458445352,
      0.282108708637025,
      0.35004690476375,
      0.305933661903805,
      0.473355251766163,
      0.389447764855336,
      0.325475890532386,
      0.309651262472263,
      0.254867458876258,
      0.406891955393573,
      0.475261194554875,
      0.310912835931807,
      0.326579327437434,
      0.267648067895078,
      0.344116378744446,
      0.373413470941553,
      0.334138072775901,
      0.350807929467974,
      0.288505089235234,
      0.230823099792184,
      0.434650743870618,
      0.346093474487179,
      0.401937016153041,
      0.333034068426443,
      0.295843319916429,
      0.429404306614476,
      0.34799496867711,
      0.359560307681521,
      0.367510689864939,
      0.286036478146647,
      0.399953492322299,
      0.36724119287288,
      0.361632876333019,
      0.389408103520784,
      0.377886044657025,
      0.423198658507033,
      0.363319378076484,
      0.407776843979548,
      0.413518946711805,
      0.290299720584566,
      0.404288578806914,
      0.376951014732769,
      0.304449708427898,
      0.369940930017679,
      0.348505023825259,
      0.25600786875105,
      0.454734892938666,
      0.386484979141285,
      0.324643471937877,
      0.361928842272536,
      0.37345726700537,
      0.435238332397703,
      0.364036776020415,
      0.375914645009184,
      0.350457780818907,
      0.343879829942269,
      0.428687427955009,
      0.42747947601314,
      0.23475544468044,
      0.290070767859929,
      0.224630779193718,
      0.450122500611242,
      0.2427503439125,
      0.195786205604857,
      0.324203235515114,
      0.325806851821033,
      0.147310685475067,
      0.365388152995979,
      0,
      0.0976341911243612,
      0.13792814821437,
      0.0580722714825669,
      0.000747546692620336,
      0.164080588434901,
      0.21235272343895,
      0.330965168497726,
      0.248033398013629,
      0,
      0.352534871129657,
      0.137600177235137,
      0.203637418144862,
      0,
      0.194601506819116,
      0,
      0.028549409671237,
      0.210827106241768,
      0,
      0,
      0.213147921041915,
      0.00336381448596376,
      0.0509527433886421,
      0,
      0.151758956278394,
      0,
      0.410037231564913,
      0.269789080786084,
      0.452027860181675,
      0.158966204769357,
      0,
      0.258623791853915,
      0.224010195320956,
      0.202659219968585,
      0.200250061286777,
      0.281176753689073,
      0,
      0.349404506211285,
      0,
      0.091999529151945,
      0,
      0.150337832178992,
      0.135709316029501,
      0.0585110886933116,
      0.170469995541114,
      0.238360632120368,
      0,
      0.407563973585029,
      0.0527357390607806,
      0.205733725201741,
      0.0818879456158686,
      0.212866780600039,
      0.437128925413358,
      0.237591031460567,
      0.270639486530484,
      0.248172625730197,
      0.164659890366234,
      0.334303233404646,
      0.17211442520935,
      0.370962941189663,
      0.293326819077245,
      0.380070102200697,
      0.281310017249487,
      0.388103040404187,
      0.50443457959816,
      0.386932512869978,
      0.377262617725367,
      0.252367237339575,
      0.260217464410983,
      0.196656472258892,
      0.312410309637568,
      0.304338476950148,
      0.156851308550114,
      0.252148161634717,
      0.21732569528453,
      0.339440975093446,
      0.225372977974977,
      0.237219113207197,
      0.178487397381079,
      0.125167301945565,
      0.463951108756576,
      0.210341907460609,
      0.213148016124016,
      0,
      0.210727391049102,
      0.35078157314687,
      0.208605312852529,
      0.288199082555553,
      0.281462232712279,
      0.219106901190509,
      0.466309305816858,
      0.250644427625673,
      0.281861920917735,
      0.208976390251006,
      0.117071086843511,
      0.351229214023046,
      0.206378638957825,
      0.202299289393972,
      0.168926823418618,
      0.0940872091963443,
      0.410874500597336,
      0.202721243456424,
      0.20400395266652,
      0,
      0.125488157262927,
      0.430501206011108,
      0.271398848659328,
      0.342330514156414,
      0.385979810763729,
      0.192117617495939,
      0.439434730665956,
      0.282353823426674,
      0.338076888021561,
      0.322189145163025,
      0.236190871676756,
      0.376693054691981,
      0.404876836413155,
      0.219500127065327,
      0.24497929298572,
      0.387547963160168,
      0.371069962541032,
      0.326950935554942,
      0.283640922391601,
      0.201081673354099,
      0.319715863446999,
      0.200523574256167,
      0.286031403802562,
      0.368152911469705,
      0.225080890372416,
      0.253523381649703,
      0.0988081356510146,
      0.347709330857141,
      0.236904390900257,
      0.322662629471887,
      0.334788403767849,
      0.175044647289551,
      0.400972590444918,
      0.389693738894945,
      0.218669705905727,
      0.357268645024909,
      0.234328243475016,
      0.357417891530781,
      0.252770963271367,
      0.342957888533631,
      0.381655169661247,
      0.363572673758385,
      0.353255540983026,
      0.405705196568002,
      0.203414184942853,
      0.299649450245672,
      0.297103113417971,
      0.221624845902672,
      0.35492490673986,
      0.28526240249476,
      0.327162111329349,
      0.21601954189167,
      0.19569389548293,
      0.455426852003336,
      0.240445964276521,
      0.284936770219759,
      0.280316656757987,
      0.34120942425865,
      0.27797543236569,
      0.335027009423805,
      0.320679794452617,
      0.268703592697408,
      0.190930286108814,
      0.332162746173556,
      0.40199816566825,
      0.341407743831964,
      0.384568045846106,
      0.239921266098587,
      0.224594067755179,
      0.417449428792503,
      0.430432148614893,
      0.159962655744138,
      0.265746540899868,
      0.166741597267245,
      0.354734357201744,
      0.314347075531496,
      0.285809450371996,
      0.292131274313058,
      0.161164202164399,
      0.352728061838452,
      0.354180501015069,
      0.159794771999851,
      0.235588352217588,
      0,
      0.432753245332967,
      0.214230044510121,
      0.0975111898021193,
      0.227855373897751,
      0.0806010621155808,
      0.358599378703687,
      0.405115872391783,
      0.146012852501772,
      0.282246509638134,
      0.0368493828738754,
      0.369150629706605,
      0.345768339251352,
      0.142195649457084,
      0.264631084574635,
      0.0360827971682502,
      0.317894726016257,
      0.432489466949379,
      0.129114794249495,
      0.230026193443251,
      0.0389058740552598,
      0.312343267782642,
      0.266830666868755,
      0.280668750550039,
      0.357510680762388,
      0.257702444150211,
      0.349373917985665,
      0.430205846810406,
      0.238618075148803,
      0.327633338926235,
      0.337073278374417,
      0.357363376293313,
      0.378501258649568,
      0.250275749083008,
      0.342992597627768,
      0.370856946835822,
      0.411463176434774,
      0.321097509812438,
      0.356867701427041,
      0.360724861962679,
      0.247665428053717,
      0.251338776155568,
      0.353667440415317,
      0.261243981660966,
      0.286694269329704,
      0.28842141253481,
      0.0941720831121165,
      0.405233631533099,
      0.190315304330872,
      0.279878094223188,
      0.18877387539784,
      0.213553436287191,
      0.287758992678441,
      0.265436653054711,
      0.330224178287476,
      0.260401943946984,
      0.300138154579142,
      0.425151530541703,
      0.300475893472467,
      0.363643301133105,
      0.226575543557688,
      0.517626610882195,
      0.505445989392645,
      0.243889953363822,
      0.335607306426514,
      0.220541487485732,
      0.165434558543815,
      0.483848122300754,
      0.279499698708714,
      0.425532159214963,
      0.201179658566147,
      0.123099138398491,
      0.380480386271656,
      0.257872838269488,
      0.218321581935085,
      0.222417904728099,
      0.128711169635099,
      0.436113579631426,
      0.306514304318414,
      0.2404051657025,
      0.25952292175472,
      0.282967859273511,
      0.370755817365165,
      0.355432274175663,
      0.287949155256832,
      0.308338894356546,
      0.292938584683785,
      0.445585988660561,
      0.279297144876849,
      0.354902694723477,
      0.236973604252485,
      0.265404799494933,
      0.365997363090244,
      0.378646514598852,
      0.423792978734542,
      0.380637054519754,
      0.445280097272014,
      0.425301490742158,
      0.443983142562817,
      0.373534300969386,
      0.397819158038328,
      0.411377495774566,
      0.200517339109431,
      0.309414659474251,
      0.33837679818991,
      0.280036404133539,
      0.425953957534964,
      0.472168089646228,
      0.408819941823546,
      0.368769546787891,
      0.234241750244835,
      0.322855456919644,
      0.346759006965408,
      0.383213348040093,
      0.437441579872156,
      0.37413262452985,
      0.427796111608203,
      0.374321485123607,
      0.458432493016761,
      0.423232436891364,
      0.288014211726305,
      0.288359781882484,
      0.283011301508691,
      0.260233310958932,
      0.41703835083575,
      0.313891401575683,
      0.2554060851939,
      0.204263950555915,
      0.208532590053191,
      0.278971224851217,
      0.362502349173005,
      0.352800089664754,
      0.390082539282845,
      0.272769349638181,
      0.265295070327098,
      0.347233054514334,
      0.328210076208286,
      0.249238568860726,
      0.381172355429199,
      0.203095486855406,
      0.390909546502687,
      0.32122196667716,
      0.359181538109026,
      0.285833250386365,
      0.37844260280326,
      0.473945227524814,
      0.383680149157033,
      0.334104888167401,
      0.412041436050009,
      0.317346415119187,
      0.538616066994475,
      0.400381044924098,
      0.241615540907408,
      0.386688244337483,
      0.199508469197628,
      0.271546817752676,
      0.263321297883617,
      0.235799867276989,
      0.267113473230199,
      0.236873738151009,
      0.362170028113087,
      0.419600111532265,
      0.318627560428144,
      0.358963193091023,
      0.471711420802355,
      0.38220457671677,
      0.353892441553483,
      0.350829327395195,
      0.2821966214885,
      0.322603949040563,
      0.38458881067059,
      0.435069634992322,
      0.417494387191704,
      0.382475729645745,
      0.29504462210761,
      0.316636017515101,
      0.336797609583135,
      0.285435396069692,
      0.307913769421701,
      0.325237931200014,
      0.37674684905802,
      0.382944672412536,
      0.27509827735059,
      0.299753251130813,
      0.212708534850786,
      0.376857412920535,
      0.434542976128083,
      0.316974190936678,
      0.310405612405503,
      0.308106030693605,
      0.384866685165623,
      0.30770644813692,
      0.295140405859433,
      0.340626890373922,
      0.31616235431968,
      0.394628201093698,
      0.239387600373348,
      0.493153045573074,
      0.434408154852506,
      0.256618368803699,
      0.350500709957657,
      0.341175839276981,
      0.310344157444506,
      0.348820153657384,
      0.363483913926577,
      0.355307711628899,
      0.365418671914151,
      0.417525415893644,
      0.402054324612999,
      0.388966232320746,
      0.340300382202415,
      0.31130897488739,
      0.394961996047643,
      0.392662313062227,
      0.33866977067365,
      0.388635637860005,
      0.367064506260795,
      0.443428063427127,
      0.394991598633995,
      0.458612265357787,
      0.429875372166909,
      0.428086383322065,
      0.386223637659323,
      0.388231251423742,
      0.445259821931282,
      0.45071624039212,
      0.377762919762347,
      0.383211975629794,
      0.462745404376647,
      0.38189964828029,
      0.265230368574354,
      0.322557614703159,
      0.219732228263241,
      0.265711394833271,
      0.345216605113625,
      0.376836071630555,
      0.301671977537019,
      0.323341207029002,
      0.305276504171731,
      0.329928444064965,
      0.350618787276502,
      0.433315484743052,
      0.41022991202825,
      0.325205481373264,
      0.405175184491845,
      0.385314454841735,
      0.302684888151168,
      0.387541745200883,
      0.355804940318076,
      0.486653869957576,
      0.374627505966743,
      0.339550569223047,
      0.315449944367431,
      0.212678052723159,
      0.341135617958326,
      0.45304184436067,
      0.313139387964439,
      0.294809192412952,
      0.267470047159123,
      0.33053361456075,
      0.351463327901142,
      0.353441575475099,
      0.340709915720784,
      0.235978642109326,
      0.215090351419594,
      0.454765689621143,
      0.29008028238366,
      0.383006051998393,
      0.332805600301281,
      0.300578946061908,
      0.427091717901988,
      0.369594997728372,
      0.373045378201278,
      0.361075396578233,
      0.39130352099432,
      0.362847812283998,
      0.373944117389209,
      0.415437416828558,
      0.319686945125092,
      0.419532344540901,
      0.438782015036599,
      0.424617828686265,
      0.438204296941826,
      0.429975565768095,
      0.307487092467725,
      0.375011963546921,
      0.38710125181117,
      0.288976726265377,
      0.300584232485364,
      0.331534596438286,
      0.254329411267434,
      0.467353223368993,
      0.447440073433159,
      0.31976696399526,
      0.379004454315639,
      0.394971831845264,
      0.426082481113604,
      0.397697113899694,
      0.384647449795361,
      0.355357672006113,
      0.349003235915049,
      0.418721516754027,
      0.389630258192641,
      0.258921468065396,
      0.296892804256272,
      0.22029876702722,
      0.400571702890014,
      0.239003746866271,
      0.178014374602578,
      0.368072137821468,
      0.333440447931616,
      0.145696698035731,
      0.327381481562194,
      0,
      0.145190872405899,
      0.148935226441487,
      0.0903702113716486,
      0.0397978038101307,
      0.152224245498513,
      0.195388908210985,
      0.322293020811629,
      0.252520303188176,
      0,
      0.367547461844362,
      0.0697305789083745,
      0.167607499853399,
      0,
      0.186043437515018,
      0,
      0.0444046736625492,
      0.231144949711489,
      0.0584545713398545,
      0,
      0.220785658177361,
      0,
      0.0655331915096107,
      0,
      0.155729326193484,
      0,
      0.401662046383842,
      0.254146961601574,
      0.459945860866385,
      0.201680071551893,
      0,
      0.274894532087223,
      0.197717007574699,
      0.182905427871101,
      0.24914676652082,
      0.32004623540364,
      0,
      0.342327896391591,
      0.00360519140598747,
      0.0657298173863615,
      0,
      0.18098684188722,
      0.100623699029272,
      0.0423121030008656,
      0.161154147490871,
      0.233325653681176,
      0.011769373179118,
      0.431303024993103,
      0,
      0.177153830233817,
      0.0693588942444611,
      0.171472222024826,
      0.4596273314885,
      0.219799161867821,
      0.283933416238699,
      0.249408426758714,
      0.197325288860077,
      0.303455501239617,
      0.166049245517466,
      0.382549868053595,
      0.262966537459103,
      0.355950956116414,
      0.252520352377829,
      0.348432908415126,
      0.460817157731579,
      0.383338885926969,
      0.375481050029285,
      0.288905686618613,
      0.275278776491121,
      0.193087768146715,
      0.277298792329141,
      0.29837947436912,
      0.140297156043875,
      0.283375497518939,
      0.181028314190114,
      0.371795752592621,
      0.198870424588836,
      0.352647695943681,
      0.185454715550514,
      0.148067523727339,
      0.435472597813287,
      0.220367402318795,
      0.166997649770907,
      0,
      0.238681504134732,
      0.366392974956126,
      0.257100228816411,
      0.33694505753103,
      0.423937260836932,
      0.223848164230204,
      0.466926593489137,
      0.233976652366846,
      0.27012136556356,
      0.16754285950755,
      0.151275796167073,
      0.382825050854711,
      0.214772979232162,
      0.221639036614111,
      0.166325730536404,
      0.0940977268877386,
      0.41365075386821,
      0.207542335771614,
      0.17033260768272,
      0,
      0.120442101959472,
      0.4432324880368,
      0.323236092866612,
      0.327832722317364,
      0.43872556776777,
      0.27155545005886,
      0.433971965620558,
      0.291408012778381,
      0.338408247722491,
      0.349784554743026,
      0.272997676663796,
      0.363901234373667,
      0.417441299428853,
      0.226242819037488,
      0.199707505609586,
      0.369494187932277,
      0.370007438151389,
      0.308428289562565,
      0.251158990824005,
      0.197117315289044,
      0.287341216595757,
      0.180077769417399,
      0.290261029005257,
      0.356092273366767,
      0.213754119419832,
      0.302412612073419,
      0.134854015970316,
      0.375619050837188,
      0.250813051984798,
      0.331155521487781,
      0.352912871871951,
      0.22904687667194,
      0.411574796709217,
      0.392246057218542,
      0.247054364736906,
      0.364558922545573,
      0.238161536912482,
      0.390145557657803,
      0.262161221190755,
      0.368510597360461,
      0.369514467619495,
      0.338061434332487,
      0.371003932627799,
      0.351483057263757,
      0.243110522413597,
      0.249135074919486,
      0.219780016748356,
      0.215652592819605,
      0.346049668078384,
      0.295615260681055,
      0.342599576831103,
      0.216186564676655,
      0.230093749076089,
      0.412528338463664,
      0.222213085052739,
      0.226213459572404,
      0.322301298229615,
      0.407508808061052,
      0.252542516365718,
      0.32835376006627,
      0.342196604212109,
      0.251359615430262,
      0.184661873374758,
      0.332424176851142,
      0.372286627390363,
      0.338581781544021,
      0.358383495919085,
      0.232351387428687,
      0.178198767246845,
      0.432961223149087,
      0.369134575837768,
      0.173194038592598,
      0.277534305552411,
      0.325457242721124,
      0.412792573831808,
      0.276466792507013,
      0.24890555617329,
      0.253289334068566,
      0.113450830938209,
      0.378267664304136,
      0.381264251397664,
      0.150135191927092,
      0.228595174616328,
      0.00826775944295261,
      0.43825601148808,
      0.20228604405777,
      0.0845095831977747,
      0.20665681479681,
      0.0819313572947832,
      0.35355708170887,
      0.418639708032365,
      0.158298306897621,
      0.305344223023823,
      0,
      0.387813476945949,
      0.377079199530342,
      0.219178071965007,
      0.245648059488708,
      0,
      0.344778339129654,
      0.421595694367345,
      0.136191430303029,
      0.242014244532947,
      0.0404939415058243,
      0.335754131170523,
      0.272505209457421,
      0.264989958389922,
      0.353948042362041,
      0.188125304841776,
      0.413802840761698,
      0.44312434163151,
      0.201970350624388,
      0.336936776896131,
      0.506565100443071,
      0.344452547357365,
      0.415789501430447,
      0.22575787765216,
      0.38537098649792,
      0.44865419576556,
      0.419168328773986,
      0.316346869898579,
      0.352661158741544,
      0.435282299092889,
      0.269930244116076,
      0.309038253232752,
      0.366094921727382,
      0.288215156805746,
      0.279077890255418,
      0.260773585182873,
      0.0924304870038362,
      0.371279179792727,
      0.195128626176735,
      0.228698231949091,
      0.180594502297404,
      0.174163661351193,
      0.289218757472974,
      0.236269525778296,
      0.281877416781039,
      0.233341301272964,
      0.382206183126516,
      0.418991131025055,
      0.316390315413011,
      0.411497304940869,
      0.238404249851139,
      0.28439225682476,
      0.400213092833413,
      0.28200996003871,
      0.235659277152643,
      0.231979177800811,
      0.181691603631172,
      0.466397231628758,
      0.266779333234222,
      0.384105540116758,
      0.187398176976861,
      0.209673107729614,
      0.323190711640683,
      0.254226785747674,
      0.204628693313123,
      0.189164036899005,
      0.129655741253352,
      0.426325640516489,
      0.317173858702781,
      0.243841809239905,
      0.240325066769663,
      0.270661315643271,
      0.359572750645024,
      0.339196339282115,
      0.30644231074307,
      0.308030187912182,
      0.297438979450107,
      0.439532448382791,
      0.312649905019458,
      0.363312602124226,
      0.197814271149431,
      0.266814473538251,
      0.377434586732711,
      0.420489355761291,
      0.48085904794957,
      0.470705093949736,
      0.417349104447332,
      0.365625046238673,
      0.472087862523559,
      0.386646791780907,
      0.386176240233399,
      0.420263223658622,
      0.191490165031463,
      0.331051813227852,
      0.38168177905496,
      0.278196536679605,
      0.420163159067502,
      0.428130918417267,
      0.424104061296427,
      0.318140196282816,
      0.214630612110346,
      0.381835613832577,
      0.360734632471665,
      0.38604748630003,
      0.512206858818327,
      0.342757765793505,
      0.412667249680642,
      0.355667869751716,
      0.491732642800601,
      0.483203773726625,
      0.351823514193283,
      0.288428418978779,
      0.351869135909522,
      0.33648748442671,
      0.448730029498212,
      0.316168614709547,
      0.266244792430785,
      0.18887605424142,
      0.187320725010833,
      0.256292752561383,
      0.308591165839753,
      0.320543894419375,
      0.412377720374255,
      0.284415751642852,
      0.225187216454874,
      0.32348468697751,
      0.309596856589109,
      0.249364790932654,
      0.355974878943791,
      0.197932074018395,
      0.373497168737874,
      0.345697788598301,
      0.406380031358614,
      0.282416120914917,
      0.36037244273915,
      0.43257535316649,
      0.378922025435716,
      0.353683282992263,
      0.403036239358316,
      0.325601952021525,
      0.564700785168564,
      0.411829933842788,
      0.243042739371669,
      0.364459597509868,
      0.213746869031781,
      0.233994267734064,
      0.314617493364037,
      0.254152271379586,
      0.295063621569871,
      0.222488920523404,
      0.36165964325243,
      0.392794695112312,
      0.293454547757014,
      0.308344571039073,
      0.437475318945265,
      0.402672391226087,
      0.357974830131726,
      0.367192971750253,
      0.345194568163574,
      0.279937373917707,
      0.444491679190165,
      0.474096643197297,
      0.378139155967888,
      0.406564182969235,
      0.336203084753241,
      0.331479307260159,
      0.367369686584994,
      0.321500673284986,
      0.251637630607647,
      0.301702040497517,
      0.390454921074351,
      0.360448478214948,
      0.287195685718667,
      0.301267560641951,
      0.2363696921432,
      0.415059483561926,
      0.418991299883624,
      0.318176048535949,
      0.334393552014179,
      0.333961767409232,
      0.398170991940669,
      0.314186283471523,
      0.309310600037496,
      0.345014367866192,
      0.297333336550308,
      0.357171418002963,
      0.194853386982216,
      0.363545086759895,
      0.458895153137117,
      0.286722226280035,
      0.340999809582962,
      0.332445234664982,
      0.327723091161146,
      0.36970841981606,
      0.384967020766845,
      0.363542337157867,
      0.392490539397933,
      0.457541013758513,
      0.438762850572873,
      0.438304417559197,
      0.344753595312122,
      0.296717611798151,
      0.412144048493394,
      0.411304810660655,
      0.362392168519185,
      0.328740458023877,
      0.353144418384181,
      0.464923833755908,
      0.411006573812479,
      0.469161576470477,
      0.435954661193002,
      0.44423251006456,
      0.389403314676507,
      0.431226050769511,
      0.432684565803332,
      0.381535015950465,
      0.404882778033821,
      0.352395733020847,
      0.425267454245781,
      0.37139114597893,
      0.269583303703693,
      0.290807779588595,
      0.224819593174644,
      0.279150933986188,
      0.326184789286971,
      0.329867815096813,
      0.312743959789608,
      0.312535570355912,
      0.334643395723646,
      0.353409225732288,
      0.334682361829615,
      0.42170155847412,
      0.358411038677123,
      0.313541663205108,
      0.407161435309571,
      0.372346462607504,
      0.393201877501499,
      0.414973221603009,
      0.419141526114811,
      0.438782155170644,
      0.338121159026459,
      0.30902440057027,
      0.313925946257363,
      0.189385056492846,
      0.354365829168026,
      0.442307799320389,
      0.305841270232608,
      0.266597546875607,
      0.274844606846881,
      0.333608634179627,
      0.339028024366648,
      0.327647315041386,
      0.325035566204518,
      0.262348739118468,
      0.21829579411975,
      0.433902329711047,
      0.291970561811091,
      0.390970449483165,
      0.328034522237805,
      0.285750873270171,
      0.40452632976164,
      0.400518491200469,
      0.41263580839497,
      0.372612617073861,
      0.428398007567672,
      0.383427896250793,
      0.404049348313641,
      0.419124808645399,
      0.380943000014707,
      0.404370580972894,
      0.409270078499271,
      0.33517820764329,
      0.388719352933708,
      0.351585990081959,
      0.252845942319427,
      0.372145210611433,
      0.321209103989491,
      0.327411741023666,
      0.305481597008154,
      0.363717098445137,
      0.269036213652225,
      0.418921177246169,
      0.404175888338701,
      0.477798503129281,
      0.283342652183284,
      0.287998138304631,
      0.415281072906137,
      0.40504968551952,
      0.341988530749898,
      0.311610331845709,
      0.406116975718116,
      0.408745852285566,
      0.365094676017444,
      0.282169387185575,
      0.266797192357022,
      0.220796946963153,
      0.419275062304414,
      0.205898973597137,
      0.205065784225118,
      0.265491842159862,
      0.24578672229478,
      0.171617533606432,
      0.284687966285132,
      0,
      0.16792287566236,
      0.13575763571877,
      0.102986002024126,
      0.0259564610207081,
      0.186323942219667,
      0.201030315127267,
      0.253802055827631,
      0.345039073100312,
      0,
      0.345101166396559,
      0.129358749919132,
      0.122054457808392,
      0,
      0.173761464123995,
      0,
      0.112623731704534,
      0.191755466899472,
      0.122604620866348,
      0.0119205279916962,
      0.250447742444707,
      0,
      0.0213624228531383,
      0.00490906417674361,
      0.130401302383844,
      0,
      0.415468800198789,
      0.272311644701019,
      0.436890894882317,
      0.159550734204026,
      0.0262938127869498,
      0.236032619975381,
      0.234037629705928,
      0.149550886185416,
      0.215362344893089,
      0.289103972527501,
      0,
      0.334870527830961,
      0,
      0.0923222293973531,
      0,
      0.175343581607179,
      0.106463287235138,
      0.0509514432147719,
      0.223452471419911,
      0.27232099736156,
      0.0305817739462497,
      0.380826235926924,
      0,
      0.241811424365377,
      0.0382958060706602,
      0.175939776950475,
      0.437823001675888,
      0.21043516688201,
      0.29662155067789,
      0.234529589114313,
      0.173352322048076,
      0.303314617739303,
      0.155978950479803,
      0.358096727960157,
      0.246026844391821,
      0.381627185446616,
      0.239057100152197,
      0.339323082883093,
      0.476853621323689,
      0.430562179110814,
      0.408048052772044,
      0.273895928209205,
      0.22263939606126,
      0.148701771823958,
      0.307264463865774,
      0.27411042920135,
      0.130648780573433,
      0.229916850658936,
      0.190328651814149,
      0.362333272874486,
      0.20624031199304,
      0.379491270038028,
      0.175667179567948,
      0.112936374591323,
      0.42482574657844,
      0.218815125034564,
      0.199759386773526,
      0,
      0.265662726937805,
      0.37838322280725,
      0.213695827031231,
      0.414295675068366,
      0.426074667510051,
      0.22726879612671,
      0.486372884769478,
      0.213156495382726,
      0.283932335659671,
      0.136742389033943,
      0.165432293479155,
      0.323140415938409,
      0.21916691370101,
      0.234451864533749,
      0.227716885634643,
      0.112310842143271,
      0.418046862768653,
      0.204451018020801,
      0.141222385259202,
      0.0112498092649497,
      0.119943581400386,
      0.472351361845221,
      0.248304771287013,
      0.345652114248202,
      0.42589301385928,
      0.36271756596324,
      0.435941096486337,
      0.291443903457255,
      0.334338150646353,
      0.406213099878099,
      0.286221286438028,
      0.389723412032457,
      0.398582831324645,
      0.244630494160108,
      0.219333404933186,
      0.390948113338673,
      0.333326809541578,
      0.269501672324393,
      0.148612533402608,
      0.172405896091569,
      0.301254257989663,
      0.189297387791627,
      0.284682474401756,
      0.374667147848665,
      0.150982796349032,
      0.285312171351276,
      0.092515864231431,
      0.321864994601911,
      0.250803917094025,
      0.30467193628118,
      0.343450591053167,
      0.290187338988344,
      0.39770482261157,
      0.388797865878871,
      0.219383825712772,
      0.344756632005786,
      0.233364630116701,
      0.387798135346712,
      0.23271863023594,
      0.356478103312385,
      0.364968893366168,
      0.290698747593645,
      0.337405698102386,
      0.359505305843356,
      0.200986762570491,
      0.260501511148894,
      0.199419419350754,
      0.207396635724813,
      0.287498688940074,
      0.256371920665921,
      0.33444433278028,
      0.214102355185461,
      0.261592721455618,
      0.40313098685559,
      0.187065761992671,
      0.229612057683234,
      0.351648587580885,
      0.436979473939477,
      0.257342472403148,
      0.380272438173154,
      0.33614281235101,
      0.200230683036956,
      0.228003447011902,
      0.285885137615264,
      0.358118014356749,
      0.361637481605104,
      0.341823522119533,
      0.251810717037426,
      0.163436234790452,
      0.376097091906502,
      0.387889756202622,
      0.148986578718885,
      0.216408122892653,
      0.292727705928054,
      0.37827846186933,
      0.312930971159004,
      0.278647114529657,
      0.240508442678386,
      0.138284034188093,
      0.36895432107997,
      0.388005658030016,
      0.118353537976344,
      0.211565899618193,
      0,
      0.414261206093457,
      0.175122808320108,
      0.0554760560353429,
      0.202590318684324,
      0.0763754852964749,
      0.369391588899907,
      0.43575292757225,
      0.150915715563026,
      0.279954813295531,
      0,
      0.39530531942783,
      0.360464759379856,
      0.136695917024149,
      0.223944174434324,
      0.002744877202606,
      0.345442635551152,
      0.418227120819418,
      0.127341957274759,
      0.2298802630946,
      0.0315131278424627,
      0.365633715672547,
      0.277156472609426,
      0.318497206221734,
      0.342752497822334,
      0.160173362658589,
      0.307680222989953,
      0.414056370953819,
      0.21046664520452,
      0.316395896120182,
      0.439054500727251,
      0.240097336390293,
      0.401564861266496,
      0.172095963709245,
      0.34965894269666,
      0.367810180194736,
      0.33622317954837,
      0.324856612292702,
      0.351800787393237,
      0.311859100438683,
      0.254006222415971,
      0.279935472587336,
      0.403594571928249,
      0.274351700422034,
      0.275283985992684,
      0.24754482851275,
      0.0995481041892996,
      0.38037815922419,
      0.180201480523375,
      0.302293090335906,
      0.162799302065676,
      0.202645663710785,
      0.289078216678049,
      0.258232501151187,
      0.314858681527728,
      0.213987610420298,
      0.340554932322535,
      0.406591461291722,
      0.274409164744233,
      0.276050102588993,
      0.168797830294584,
      0.288778121206969,
      0.39371763976548,
      0.321597207421239,
      0.224624633535832,
      0.236361306802526,
      0.161809666410318,
      0.44464096569959,
      0.267174220633462,
      0.293472309909483,
      0.127690458184492,
      0.168886026365307,
      0.379175219455265,
      0.205989841547459,
      0.162767943143819,
      0.195122071971603,
      0.136526980889349,
      0.40316561872222,
      0.296227377951161,
      0.271427713491285,
      0.212808882886789,
      0.317674849428709,
      0.382142857379526,
      0.361840052879229,
      0.269472372265144,
      0.305479739114103,
      0.235776469092978,
      0.424621478849226,
      0.33976064087527,
      0.351438076572653,
      0.186634946302915,
      0.307985787833081,
      0.397047849823356,
      0.376862176814544,
      0.492631573017765,
      0.397283687829951,
      0.405030338598177,
      0.300302843910313,
      0.52574403810067,
      0.325327044857527,
      0.355017475174738,
      0.371786869321079,
      0.174363684098175,
      0.316448218795789,
      0.380879989823784,
      0.269593445393025,
      0.460967448928999,
      0.452128986028437,
      0.424235768819908,
      0.247573897049995,
      0.160571942381091,
      0.436261161107995,
      0.353033956194703,
      0.37247464610865,
      0.43823479479781,
      0.305795635722507,
      0.371251439631475,
      0.324434133070885,
      0.462940350813768,
      0.487917376517448,
      0.286481384930019,
      0.316669405179652,
      0.34477200703545,
      0.288694827087004,
      0.43745662248958,
      0.299589350283041,
      0.27244830698283,
      0.187562719221328,
      0.124676986294489,
      0.248019080502647,
      0.290874665645801,
      0.318664740285561,
      0.353687535513423,
      0.334577926497173,
      0.200807454467083,
      0.320950950265187,
      0.258369798889225,
      0.273088337506457,
      0.372381685130728,
      0.16961083613137,
      0.310292450018568,
      0.366846684239335,
      0.42496216660567,
      0.291580330005934,
      0.382943484747204,
      0.435428618762188,
      0.374232583604725,
      0.305407917395804,
      0.36795556543554,
      0.307257182081124,
      0.568152841481113,
      0.411961196264037,
      0.236364815485246,
      0.27362727551273,
      0.246320883934357,
      0.183560470184149,
      0.31594337864662,
      0.225629967520648,
      0.318944780630867,
      0.225216095963275,
      0.377641625820591,
      0.429459244963662,
      0.300565748750576,
      0.329879312879318,
      0.383315407028571,
      0.419335272973678,
      0.381390677013235,
      0.323794103466349,
      0.33417004238278,
      0.316992549709102,
      0.387644582019691,
      0.491913101545846,
      0.388894515696337,
      0.366309668516436,
      0.331736273826748,
      0.31585003903969,
      0.39461339751435,
      0.268126627708012,
      0.24713432375903,
      0.29704479569143,
      0.411352168063478,
      0.352750827581783,
      0.270247055477271,
      0.263858508303924,
      0.223225139057844,
      0.426603473812006,
      0.445437082068633,
      0.333178080305768,
      0.338551667938622,
      0.315634585320819,
      0.420583795517823,
      0.369876782593924,
      0.317488488267215,
      0.377342678439811,
      0.329842252316995,
      0.376904159047378,
      0.138999640101391,
      0.371902240859195,
      0.42144554100312,
      0.268687614664049,
      0.371495417354775,
      0.313786755861253,
      0.312546665218705,
      0.368982458122879,
      0.342823099817019,
      0.397005064511603,
      0.410310953877024,
      0.429330877365757,
      0.437482069459793,
      0.407033722722643,
      0.383709269259615,
      0.283749628333338,
      0.401950484983866,
      0.39328482097615,
      0.332960122856979,
      0.338513963654896,
      0.320253947647719,
      0.425533851346088,
      0.41751120506645,
      0.441648467396133,
      0.41862047827588,
      0.369558720471098,
      0.362239842506351,
      0.432355443348582,
      0.400937138746944,
      0.458326879084621,
      0.356196845897886,
      0.335681879398899,
      0.392515799038831,
      0.377918383375764,
      0.239695613783467,
      0.295149695223193,
      0.216243228169278,
      0.330983530653634,
      0.325525359448856,
      0.323387756234288,
      0.31127544750075,
      0.320872411583178,
      0.334084206427288,
      0.36950298386548,
      0.335945578284963,
      0.413403317748016,
      0.372186031992798,
      0.316092321939176,
      0.437469662306338,
      0.420598856159019,
      0.377783150849655,
      0.423607078124547,
      0.446584938941179,
      0.433918804361806,
      0.338429280675742,
      0.335049955337749,
      0.367573336000666,
      0.239171510827396,
      0.360055803819607,
      0.438396148075779,
      0.313615568621334,
      0.255421575440282,
      0.290492724357256,
      0.304489552556425,
      0.308749217266799,
      0.280411640937384,
      0.287740639207166,
      0.298543881872287,
      0.217119126382141,
      0.408531288637432,
      0.291097222864914,
      0.395436699383087,
      0.373723209725734,
      0.239860620707193,
      0.38803151244728,
      0.362882163652493,
      0.381759988059361,
      0.344829896823787,
      0.414236740767499,
      0.366326968430928,
      0.378386477345606,
      0.414582617768652,
      0.399235588713252,
      0.376578146366923,
      0.386532898984144,
      0.419714118930571,
      0.394838395789041,
      0.375821333776491,
      0.227371492509339,
      0.378945070273026,
      0.371132702034379,
      0.295515604221825,
      0.317880195500064,
      0.345322165309096,
      0.233915312343299,
      0.438070347417319,
      0.401189197683879,
      0.411355207130458,
      0.322933063078062,
      0.328719254147615,
      0.417679396354236,
      0.357576053693546,
      0.301157544095021,
      0.307456187124855,
      0.297336174254537,
      0.428753437569211,
      0.371308955039362,
      0.230266755789508,
      0.269542723402116,
      0.232054997434849,
      0.328626016888281,
      0.180795998463365,
      0.177199439359063,
      0.282463276089914,
      0.284390954272785,
      0.168753397933845,
      0.303960182309164,
      0,
      0.142212257318269,
      0.165491571729141,
      0.105292425115694,
      0.0169816700479077,
      0.251390712475068,
      0.177370092385499,
      0.202212450224351,
      0.277474145529351,
      0,
      0.351583423759957,
      0.149012953476388,
      0.0612205597338365,
      0,
      0.190018894999397,
      0,
      0.17268484630637,
      0.206581199680324,
      0.164983920965022,
      0.0395055964796001,
      0.230798441454316,
      0,
      0.0442092477582591,
      0.0535556397586524,
      0.13927359387482,
      0,
      0.422434975194697,
      0.293947964487501,
      0.448497805036731,
      0.186471305151904,
      0.0800136469665718,
      0.240313795549338,
      0.281197904170113,
      0.140323038920958,
      0.163768073388564,
      0.257321111029325,
      0,
      0.332084268423857,
      0.0554203654548594,
      0.051755832802209,
      0,
      0.160651294626499,
      0.10379350937503,
      0.0585285817060943,
      0.297143040678619,
      0.280866464026561,
      0.0359911131631864,
      0.410063373022507,
      0,
      0.221716702191065,
      0,
      0.198701295892067,
      0.444905168001297,
      0.216091478040602,
      0.28409677909905,
      0.220598841584369,
      0.165886762537535,
      0.305646831671223,
      0.160428934630943,
      0.374335734473716,
      0.233547350497197,
      0.417713961482672,
      0.255945940357718,
      0.341774065004683,
      0.453959996164476,
      0.428501053119779,
      0.366827267971569,
      0.304103361465604,
      0.247771162162139,
      0.198273270091246,
      0.329411390768619,
      0.294476597045327,
      0.112497106780762,
      0.246517393757941,
      0.211118911457656,
      0.338240200125201,
      0.183256884560483,
      0.397490414574986,
      0.244870882037576,
      0.0802489583513931,
      0.411310532310822,
      0.247721384929194,
      0.201718575936458,
      0,
      0.24908820262226,
      0.368496704662688,
      0.233924063354154,
      0.430869756224285,
      0.4359461550127,
      0.23521009722749,
      0.488644448020168,
      0.261260850919008,
      0.313117397094024,
      0.201219941616967,
      0.219803785874068,
      0.340159240353665,
      0.196260789944184,
      0.243184786127716,
      0.303777069447293,
      0.0541718193221418,
      0.435291498932562,
      0.190355876082474,
      0.17327456778306,
      0.0378549794005573,
      0.158638804748802,
      0.389708288011102,
      0.253031724923745,
      0.352162090772206,
      0.419264432481198,
      0.370739754272917,
      0.456135792086458,
      0.275356063355605,
      0.345698594353496,
      0.411487636546625,
      0.324955935629986,
      0.37116969990211,
      0.44068896132093,
      0.257746987361461,
      0.245472808249021,
      0.410439962922954,
      0.33042247753584,
      0.251889278633705,
      0.192460448838662,
      0.13672411793566,
      0.290148763311117,
      0.193513351698796,
      0.307576918497372,
      0.34190038747494,
      0.180721374699942,
      0.285506395170668,
      0.0972177047861535,
      0.355063713607631,
      0.273396257343944,
      0.209272842734153,
      0.315419062585231,
      0.318820768503041,
      0.375693425339401,
      0.35843685405959,
      0.20832953458514,
      0.314274348867529,
      0.201573923298463,
      0.409898333259852,
      0.236096425230618,
      0.363579737645448,
      0.369994657592466,
      0.251800563060149,
      0.340204644252362,
      0.373757136189833,
      0.204958763278211,
      0.273317224392178,
      0.166766723754407,
      0.21618736861607,
      0.245435665264306,
      0.270536464274283,
      0.304347141776084,
      0.236776968264929,
      0.270242792499235,
      0.395328408263066,
      0.206220040843107,
      0.295655425665302,
      0.311214401630024,
      0.458912906294808,
      0.302168742335701,
      0.38878987841155,
      0.369145777554043,
      0.2160626493568,
      0.277930639895703,
      0.240943124648803,
      0.353681315504848,
      0.392652325244159,
      0.337754930617796,
      0.235473770667103,
      0.178590231385545,
      0.380745906043086,
      0.403734535995829,
      0.122166960312884,
      0.236153612771787,
      0.245240218526351,
      0.376040634574584,
      0.253728512407823,
      0.194484169859408,
      0.228614167194707,
      0.0906541812290104,
      0.360996478556468,
      0.350648296787501,
      0.0911480902301118,
      0.208782490090488,
      0,
      0.400409022837972,
      0.178546795973193,
      0.0532528437410529,
      0.208487391072725,
      0.115087762749539,
      0.361811084186068,
      0.394387537664094,
      0.107395272517665,
      0.219639737624071,
      0.0114779585487725,
      0.346796160784646,
      0.358897589655855,
      0.211751144245055,
      0.215343114264062,
      0.010903464329339,
      0.305082606682647,
      0.429383142167873,
      0.139572613461566,
      0.208429561163774,
      0.0192519706544013,
      0.342011259620121,
      0.273467970562933,
      0.327830793763354,
      0.352755889540511,
      0.155389417119601,
      0.370472790325893,
      0.417444635671171,
      0.220323112146253,
      0.315559860093648,
      0.257756577054308,
      0.245719286641808,
      0.396609359213238,
      0.177317911741485,
      0.346984020683718,
      0.362211289156283,
      0.42087596003811,
      0.293149030455088,
      0.300728265753306,
      0.403011366352323,
      0.213143222585214,
      0.273613022708377,
      0.472016042695259,
      0.26025426834915,
      0.259034637020375,
      0.24684388691457,
      0.0797405141556655,
      0.383747669196445,
      0.231816914849974,
      0.318281878094374,
      0.153063976167836,
      0.218781602765656,
      0.326085556710122,
      0.257621311363119,
      0.270668740623574,
      0.208469627574867,
      0.333587656733746,
      0.400539437353009,
      0.250190960505226,
      0.276253593426058,
      0.168173968318504,
      0.48417767232185,
      0.451173446172374,
      0.265540921202441,
      0.295678128266541,
      0.237679889391718,
      0.169496146730514,
      0.459980423536836,
      0.269087053680232,
      0.426513467454397,
      0.127908112097855,
      0.135357192766306,
      0.265072094995349,
      0.175008138692603,
      0.199359550462693,
      0.163780820951327,
      0.123577448521576,
      0.396419529285754,
      0.256744535295678,
      0.279952080882881,
      0.196677638139193,
      0.207490242082903,
      0.32548281925636,
      0.429827767121682,
      0.228404906872228,
      0.27114611419722,
      0.219808464256818,
      0.423972896795826,
      0.329828913119872,
      0.35808334923055,
      0.208428820960089,
      0.330333184586873,
      0.371081890198491,
      0.385108922011449,
      0.407174956930335,
      0.450999475287127,
      0.400288391224716,
      0.259483226462403,
      0.468684641642175,
      0.286062320757708,
      0.373054159979114,
      0.339763476765054,
      0.15135925997221,
      0.312681807789477,
      0.403319888548224,
      0.316795976832821,
      0.402400560904416,
      0.369231295866656,
      0.417617210814344,
      0.252380762890936,
      0.171050236689742,
      0.387578119529783,
      0.35542564557416,
      0.367980876081596,
      0.411514717991521,
      0.371973585983628,
      0.369622320988965,
      0.329040895446064,
      0.476669788514153,
      0.483375499746538,
      0.370910402634323,
      0.330791570230983,
      0.421105513826558,
      0.395400059054017,
      0.404681417820396,
      0.294637472218337,
      0.29838460410795,
      0.197094467253475,
      0.128737674699944,
      0.251473531399198,
      0.395556155451429,
      0.384113423651888,
      0.317579068876051,
      0.30980532809825,
      0.156430073544717,
      0.329203953664326,
      0.267710684171992,
      0.277952263545807,
      0.403963229063239,
      0.183079636332481,
      0.327625871774879,
      0.311761752582107,
      0.38980401787213,
      0.262639542292236,
      0.372643389752331,
      0.441638814822885,
      0.387263130422054,
      0.390400191919954,
      0.386125524669255,
      0.355109773890662,
      0.568022360012123,
      0.414505653630576,
      0.258024713612978,
      0.335658302267119,
      0.222061405925236,
      0.205007635997317,
      0.292381801717881,
      0.230017089896418,
      0.335358776595811,
      0.273566397126825,
      0.382730716342373,
      0.403797662905264,
      0.273238743062403,
      0.361135394547366,
      0.326278905113716,
      0.381379184962425,
      0.396946413908365,
      0.306855751218961,
      0.332469320877779,
      0.360356912402697,
      0.363350063686857,
      0.466770945456743,
      0.410607966231958,
      0.362173825098406,
      0.254684027445183,
      0.332330689188298,
      0.405025765109623,
      0.298969425100843,
      0.227465969080819,
      0.293583803634244,
      0.424718067416047,
      0.295890163078377,
      0.275508255852914,
      0.252149869769527,
      0.210593738734836,
      0.384024335906247,
      0.428799227216683,
      0.305431845187453,
      0.362009499930041,
      0.270258340072116,
      0.325143157543739,
      0.298237587527288,
      0.272973784408423,
      0.379460064586465,
      0.231061205359268,
      0.394601337772083,
      0.210215014516659,
      0.380116546058741,
      0.38663645447711,
      0.282541035909526,
      0.346275688195219,
      0.246538136638842,
      0.29138580736708,
      0.3756323066229,
      0.331045659832897,
      0.388132782004647,
      0.362528881383747,
      0.365672879719286,
      0.410417556038715,
      0.401724330895437,
      0.392593957934604,
      0.256343650838004,
      0.402754446897745,
      0.367734638669679,
      0.329364014409122,
      0.313395921631285,
      0.290520383405977,
      0.370792952598647,
      0.400240035269521,
      0.419873940947794,
      0.427469379303819,
      0.370464247765882,
      0.381014197370748,
      0.419600858240351,
      0.434376059547734,
      0.401482186203324,
      0.384322942203207,
      0.336466442484172,
      0.436625280620346,
      0.344037108399314,
      0.236498449533693,
      0.239000603168802,
      0.234702173652048,
      0.342738469395772,
      0.350411477619204,
      0.338580219859786,
      0.319663106478181,
      0.328066045689908,
      0.371949820392963,
      0.358283990334655,
      0.365531531099664,
      0.397477909323211,
      0.315487982051505,
      0.305966000642253,
      0.459954060423623,
      0.411977322145563,
      0.387072107266925,
      0.407187872639686,
      0.463427897392181,
      0.401846860164898,
      0.402813593900543,
      0.314641944361975,
      0.377415169473058,
      0.319534215791956,
      0.375590064970119,
      0.420110230543021,
      0.32385490751911,
      0.266221245476113,
      0.250753569741552,
      0.321325923004605,
      0.306871508583759,
      0.246252296355903,
      0.294508315266463,
      0.305966239192363,
      0.232821700040787,
      0.393590284982728,
      0.336419888396965,
      0.393282739898356,
      0.368195183578483,
      0.288627761518929,
      0.40248412682424,
      0.388696408003506,
      0.388038254168308,
      0.365384977675616,
      0.368322886608239,
      0.376362406537719,
      0.402878347396603,
      0.375900572946681,
      0.395593503213157,
      0.356397056363289,
      0.411403028907533,
      0.382620263151335,
      0.419923365581072,
      0.42215575651872,
      0.258563792516752,
      0.370838074541998,
      0.296452585612641,
      0.257194150699141,
      0.259840374280948,
      0.357902177385333,
      0.250681098923935,
      0.458197614477867,
      0.438426783677431,
      0.327338350874708,
      0.357684150664395,
      0.361802479728175,
      0.421172397368794,
      0.339704626092981,
      0.322352222609748,
      0.333500631747162,
      0.279591090185152,
      0.443257905270393,
      0.398401900672403,
      0.251464492039003,
      0.330465930570297,
      0.215518986865017,
      0.360851619218884,
      0.16481321652277,
      0.1728926813602,
      0.319517994220725,
      0.297031530310661,
      0.153172501481756,
      0.301716650159391,
      0,
      0.0883974029640752,
      0.128205743323463,
      0.0664656502063491,
      0.0564750432473932,
      0.208527294694569,
      0.133575762297057,
      0.240381841894227,
      0.237959375029438,
      0,
      0.363718462675932,
      0.172690652450924,
      0.0886375952841507,
      0,
      0.185941758689641,
      0,
      0.1269866090813,
      0.240480002954782,
      0.120022556434516,
      0.00900745411234649,
      0.223380186902424,
      0,
      0.074090907078696,
      0.0330538052544153,
      0.168535354340116,
      0,
      0.426302416055536,
      0.321293295290582,
      0.453438405866169,
      0.172989687863673,
      0.0982024601533933,
      0.270063623786822,
      0.230040249588122,
      0.121003902225168,
      0.201970845120592,
      0.270689580619689,
      0,
      0.375239738372747,
      0.0532277808327033,
      0.0457703122486864,
      0,
      0.174398045060971,
      0.113508341689766,
      0.0668494789056257,
      0.327651627838644,
      0.294617677401635,
      0.0105597273854522,
      0.433621289391134,
      0,
      0.188791553603465,
      0,
      0.178858617971161,
      0.435201070088404,
      0.216142595407133,
      0.21751468727197,
      0.22061623975291,
      0.176803700040973,
      0.301793843988263,
      0.138293852155642,
      0.376212103733986,
      0.215255686493534,
      0.389923156945762,
      0.264473995425694,
      0.356131489421068,
      0.470978231695748,
      0.430409211501686,
      0.447479048926837,
      0.517459185243745,
      0.365965460309284,
      0.294844627284855,
      0.290927514292937,
      0.333191706419336,
      0.135670936003563,
      0.272025719378516,
      0.260822845309442,
      0.341518474096364,
      0.211788020338218,
      0.273838668692814,
      0.214564622690109,
      0.112410006585808,
      0.442295845440971,
      0.241527686358298,
      0.20785562732838,
      0.011280739796488,
      0.253807932756204,
      0.363529237077957,
      0.227234528805843,
      0.456537917430221,
      0.382187073860228,
      0.241614118682495,
      0.504019604634041,
      0.327537145312544,
      0.314186301744704,
      0.199508338269821,
      0.238177630986641,
      0.374306429164038,
      0.202185157370843,
      0.257215897179362,
      0.340275459094888,
      0.105344350936628,
      0.43380456119766,
      0.175764658273834,
      0.182193650521054,
      0.0473329665671384,
      0.160885650304992,
      0.400366872006086,
      0.244746094726249,
      0.349307123432554,
      0.41007873068703,
      0.350182279732072,
      0.427887461441631,
      0.251426164813468,
      0.364952494482262,
      0.412019404359876,
      0.375344000980657,
      0.369351604979772,
      0.349339911629116,
      0.23327514720438,
      0.212309518097407,
      0.376697976199464,
      0.346962706951973,
      0.311537187780595,
      0.207414095940244,
      0.200891503736415,
      0.210158229100815,
      0.216039119168104,
      0.302332675815153,
      0.349710175683113,
      0.20342689205802,
      0.216402563171688,
      0.0881021175335261,
      0.367722676464954,
      0.248301411731921,
      0.193043949428437,
      0.293896667828208,
      0.242576775229777,
      0.357681774130386,
      0.379220083632659,
      0.207167175031989,
      0.317870474434298,
      0.177681615913661,
      0.399132247016831,
      0.295338249513991,
      0.392046561006373,
      0.385218219508313,
      0.296019908840275,
      0.364055937695151,
      0.348456939408776,
      0.225808583109926,
      0.279088633424435,
      0.134661409916381,
      0.230459406140532,
      0.269915462134533,
      0.311759376161189,
      0.268664265772525,
      0.237988196947065,
      0.262317321948193,
      0.408345967946348,
      0.167236594493266,
      0.386816708645642,
      0.258193703990957,
      0.430216754112142,
      0.302524592042869,
      0.390885078151305,
      0.341043796260609,
      0.202145913817466,
      0.269094374310735,
      0.263163411555468,
      0.375930147941114,
      0.404487983758866,
      0.351043490530686,
      0.214487358997233,
      0.162882692864001,
      0.402297092651238,
      0.372968695885767,
      0.136158532546956,
      0.238736674307397,
      0.307041172068517,
      0.38166265393235,
      0.283049006414194,
      0.264522000875752,
      0.243494035343161,
      0.109304062686238,
      0.322787213886352,
      0.34357862102495,
      0.122946523190048,
      0.221311579483697,
      0,
      0.403813709953227,
      0.190608897129499,
      0.0558109957889041,
      0.22378975876008,
      0.0895570476751533,
      0.367830527740779,
      0.465102739198902,
      0.110982788089036,
      0.243066344772648,
      0,
      0.391427330243487,
      0.359847393592202,
      0.141227626239859,
      0.248512937672709,
      0,
      0.310349285905721,
      0.411386675116499,
      0.143160762434679,
      0.204484908016147,
      0.00663966091528896,
      0.357434484243363,
      0.256915810150522,
      0.248587614239955,
      0.31982485570859,
      0.132334734598275,
      0.323062042436256,
      0.432031452672473,
      0.24883844749287,
      0.29280666560657,
      0.448463256548922,
      0.274953096288373,
      0.405650231311757,
      0.18783770743195,
      0.365229235543126,
      0.371831894466224,
      0.344662749674654,
      0.306867389985372,
      0.33293541312542,
      0.356564314953013,
      0.231239605468641,
      0.275269134653683,
      0.428521641757731,
      0.242132162287021,
      0.223003824933995,
      0.236490585257203,
      0.0898693895241992,
      0.40765073542841,
      0.230685546830419,
      0.252093943327902,
      0.141915001982998,
      0.213171221875001,
      0.278447727076531,
      0.242820442934291,
      0.278188724447279,
      0.244083727354057,
      0.317976304737804,
      0.406395134751065,
      0.226990443472655,
      0.387688614688964,
      0.144238212288422,
      0.465976832683402,
      0.531847936077144,
      0.257811693934054,
      0.254410101391283,
      0.208418042603762,
      0.15945057648223,
      0.494859946393838,
      0.231392759849265,
      0.314271165846891,
      0.124046091241746,
      0.165669927091137,
      0.360422541625814,
      0.206597703687729,
      0.217736333093367,
      0.181702903590774,
      0.127131212366444,
      0.401866226994587,
      0.232359438671605,
      0.230451823719552,
      0.211164818868586,
      0.178323573939392,
      0.343524016663334,
      0.405181059496511,
      0.242034770750189,
      0.263246223139134,
      0.192980514238917,
      0.418521646205529,
      0.291154624974144,
      0.359115852273237,
      0.210984119447431,
      0.276766206142483,
      0.363897191802031,
      0.443596868279697,
      0.361259483056157,
      0.387826437247748,
      0.368915888288674,
      0.29268627299998,
      0.41440474567832,
      0.283472955190071,
      0.412889036697109,
      0.378744838502526,
      0.143950802508206,
      0.31352484253506,
      0.371306260375056,
      0.378921591011573,
      0.333022345102477,
      0.31143599914949,
      0.411979138657903,
      0.28601020458103,
      0.206079241950272,
      0.337663839526297,
      0.401135561681713,
      0.333336394294453,
      0.406079559706156,
      0.395525291131695,
      0.350268897181634,
      0.338481075651809,
      0.498431269773866,
      0.46738373565191,
      0.293043120101233,
      0.286331568218562,
      0.353094339608374,
      0.340745357441086,
      0.391854521435693,
      0.291642876959572,
      0.324263084181806,
      0.237131574549263,
      0.147764701301904,
      0.288676178407038,
      0.435319211090587,
      0.429657936395742,
      0.27041631486887,
      0.239069926172361,
      0.16711449249111,
      0.357320762434073,
      0.249699034678988,
      0.249887144689056,
      0.408950718324423,
      0.155550049366162,
      0.335930847888197,
      0.319157952745577,
      0.217951926112922,
      0.295904470267236,
      0.434102564914996,
      0.437659434610373,
      0.40551856095502,
      0.397893658806641,
      0.408611129574278,
      0.323703365768041,
      0.596073625408946,
      0.394353451011917,
      0.243753326292446,
      0.334623772902577,
      0.19840626031935,
      0.208295561099265,
      0.272437793637355,
      0.225863816365677,
      0.306790973023554,
      0.266040793370903,
      0.377373189364926,
      0.410780401374131,
      0.241689346113037,
      0.325920815543094,
      0.286743848041801,
      0.318883939845849,
      0.367309125008839,
      0.245449080824423,
      0.251850232590523,
      0.383721086266855,
      0.353914304292343,
      0.445051743541375,
      0.428346678810907,
      0.406327016377744,
      0.201957525240368,
      0.302117633676474,
      0.375083757580858,
      0.322095675238108,
      0.224208949216529,
      0.303436987598693,
      0.407683836731613,
      0.311544167761999,
      0.272981534951284,
      0.2744334273577,
      0.205990108905865,
      0.410224329416902,
      0.437055319689709,
      0.301149606021475,
      0.412661922026233,
      0.219788591096594,
      0.318832893053835,
      0.261133061171805,
      0.251140887003584,
      0.285494877512685,
      0.222369599256186,
      0.374008563585686,
      0.231973586413395,
      0.347131651654644,
      0.414185463715122,
      0.293764782137385,
      0.365657488093774,
      0.272842681177128,
      0.250189119837679,
      0.365842168425476,
      0.316454535987765,
      0.354483493591823,
      0.352107802349595,
      0.39172447191207,
      0.423343964184486,
      0.430566081673596,
      0.346629640098575,
      0.281622692904337,
      0.393712513029506,
      0.396372883339751,
      0.343798180299088,
      0.288628780540116,
      0.313457181619965,
      0.363268883392844,
      0.417299535270328,
      0.416516731233362,
      0.421721205121075,
      0.382198809226537,
      0.363875213561126,
      0.44867503240092,
      0.447041273656336,
      0.442975672557827,
      0.347596986824507,
      0.32666208906179,
      0.397170746201008,
      0.323132953660158,
      0.227775720788132,
      0.216881945239112,
      0.218795873026441,
      0.347701232201501,
      0.333457924990586,
      0.316053629518366,
      0.398964285416008,
      0.315747924039423,
      0.351782193105051,
      0.383918775466678,
      0.377680973268952,
      0.449701871062725,
      0.326362279639017,
      0.241211921340211,
      0.476533899737817,
      0.417522714898747,
      0.373923148845116,
      0.404126321690251,
      0.446330579597169,
      0.456993397550803,
      0.40155939691411,
      0.301898708069181,
      0.340455903414098,
      0.330657840176971,
      0.373466959503885,
      0.426219345496967,
      0.298537956394621,
      0.246637348359812,
      0.293742688659716,
      0.344502110017459,
      0.325258952530703,
      0.281416334069706,
      0.294677029611521,
      0.28961223948028,
      0.267241196726142,
      0.377140690761105,
      0.357406083596885,
      0.378009287821835,
      0.410401495434479,
      0.285528777615856,
      0.38670922816387,
      0.415473106372449,
      0.370876859914977,
      0.350103051835296,
      0.243611897615576,
      0.361978170568815,
      0.371767038897217,
      0.29771062412054,
      0.397330934295503,
      0.344007944754486,
      0.383254822922074,
      0.330586514676753,
      0.327902161822963,
      0.397354951887707,
      0.235459841347394,
      0.372597199146856,
      0.344101957504262,
      0.269345590061815,
      0.241988568657644,
      0.370124363600692,
      0.280651512365463,
      0.431177278347628,
      0.361260299689656,
      0.385710334708467,
      0.274510462337071,
      0.26241811085807,
      0.40445001457784,
      0.335438272198108,
      0.192635250231189,
      0.251390677357455,
      0.337920417654166,
      0.390648233208004,
      0.350634573513634,
      0.240928873628219,
      0.33851921595616,
      0.197839101119853,
      0.383094960980273,
      0.188058804211734,
      0.146755173666995,
      0.255360603098244,
      0.229062946430339,
      0.157445496838,
      0.311036480714619,
      0,
      0,
      0.122238128675271,
      0.0293629113604008,
      0.0547422841124303,
      0.221886962714503,
      0.0816973711043007,
      0.193501364130996,
      0.281627793321744,
      0,
      0.367691724919703,
      0.211070152054966,
      0.18890653795571,
      0,
      0.16598626529996,
      0,
      0.106203495858526,
      0.231825380427951,
      0.0237720185524876,
      0,
      0.202838137615926,
      0.05105480198663,
      0.132858697466645,
      0.0332895279681093,
      0.20918005863962,
      0.0296846714434333,
      0.459394975660314,
      0.300814936922787,
      0.46920253544406,
      0.149637079903508,
      0.0126833066010755,
      0.276078232090339,
      0.137133516088441,
      0.0987552021368176,
      0.192596435888627,
      0.293747956721169,
      0,
      0.371183117775666,
      0.0930074402834285,
      0.128925160263091,
      0,
      0.174123859457705,
      0.113018909847568,
      0.0476103299320515,
      0.339762937269801,
      0.268179188834065,
      0,
      0.432004683351795,
      0,
      0.170199830782507,
      0,
      0.189860458578533,
      0.455040408332896,
      0.195503113400271,
      0.23416315999159,
      0.216008398016195,
      0.144881427530688,
      0.3030252026345,
      0.167973811035026,
      0.353984934771478,
      0.202510621695763,
      0.3423549316917,
      0.262080440113257,
      0.328016603780735,
      0.494286451743558,
      0.451730939148897,
      0.43771264880009,
      0.38875177316152,
      0.363078361007918,
      0.339617790602036,
      0.323779062962338,
      0.33427348879882,
      0.134610767448051,
      0.226593479704904,
      0.329013408750988,
      0.358497023608532,
      0.201725997168427,
      0.250756561352507,
      0.196398460855661,
      0.103973260754434,
      0.431167908822012,
      0.205357582885612,
      0.186639454764611,
      0.00345677226332247,
      0.232567304302456,
      0.389554742527349,
      0.284268046513704,
      0.473230745513393,
      0.445893199951222,
      0.232827577599649,
      0.528157188295183,
      0.306835030326582,
      0.325163574562897,
      0.261222025520875,
      0.225429376298648,
      0.372562547709446,
      0.196548029385426,
      0.266098529841695,
      0.294692987362942,
      0.145132144643685,
      0.41456350239267,
      0.204443848576397,
      0.153430486742625,
      0.014863856551086,
      0.185376934534124,
      0.40917824713172,
      0.222748962566043,
      0.37105620777986,
      0.377072508582218,
      0.303634214198802,
      0.41023350176825,
      0.255681912822407,
      0.369294876806527,
      0.396156666907681,
      0.300255657925647,
      0.404249132565488,
      0.353856587034205,
      0.224395969654171,
      0.170536339439394,
      0.387433885343058,
      0.361609600760038,
      0.327132583108068,
      0.222896214251433,
      0.199514083777533,
      0.143032761836026,
      0.242611776291404,
      0.310031792681546,
      0.328705897696351,
      0.186685479381194,
      0.217708609106868,
      0.0778244697204759,
      0.345304985741814,
      0.198809958881454,
      0.145302097890157,
      0.257810999331489,
      0.216302023484891,
      0.339416699213212,
      0.371962150735105,
      0.186499910605075,
      0.296933737728157,
      0.148493930520104,
      0.38725536063691,
      0.278735021875162,
      0.390237311923676,
      0.363633679039266,
      0.253034601267146,
      0.354480108696676,
      0.32608787955081,
      0.242536779157478,
      0.262557634644224,
      0.158905580489306,
      0.22358994314562,
      0.257857856176078,
      0.289998407248801,
      0.236078628386555,
      0.244320545011195,
      0.216926850466309,
      0.396755431146343,
      0.198621410060997,
      0.371393179402195,
      0.32022104890191,
      0.383729509649598,
      0.254913781632133,
      0.38182672235707,
      0.341352286787824,
      0.218026591833701,
      0.265493318104156,
      0.262174061508674,
      0.36439153458346,
      0.374711054418116,
      0.33300567158511,
      0.225772482919818,
      0.135618687821095,
      0.425680511083875,
      0.389953158253224,
      0.110074080744989,
      0.189221169388162,
      0.155626856795919,
      0.381998447464512,
      0.268730771748562,
      0.173707771120994,
      0.238669780570245,
      0.0899330023879619,
      0.337332748215161,
      0.349809906186065,
      0.12516063050648,
      0.226367861954729,
      0,
      0.432813652549871,
      0.194533350090132,
      0.0614380230827169,
      0.198967453932989,
      0.0370483498692427,
      0.368834723348532,
      0.472561428970909,
      0.136859262652107,
      0.275499385834367,
      0.00432933592623704,
      0.399503346322054,
      0.389838819371446,
      0.170414425859491,
      0.227032554899314,
      0,
      0.294169763965499,
      0.400249569073577,
      0.13264351371622,
      0.23125302944141,
      0.0232776478397814,
      0.359982217756689,
      0.258253590667117,
      0.27374550972452,
      0.31803338122496,
      0.160223751095062,
      0.337252243653284,
      0.436726804920197,
      0.227385310923824,
      0.313536014076161,
      0.439044253240059,
      0.267866628553466,
      0.424647078889017,
      0.208375553424973,
      0.367991623899904,
      0.344078685344236,
      0.362943106682393,
      0.280254736169969,
      0.317571997621117,
      0.370219307608628,
      0.217796558157192,
      0.236318987848086,
      0.391012067156226,
      0.21379130493618,
      0.241156899415963,
      0.219953807616473,
      0.108678853290805,
      0.39391675767809,
      0.158077665704577,
      0.256590317589316,
      0.123063185949698,
      0.210610061558381,
      0.269973050176394,
      0.229770535824179,
      0.278200783595332,
      0.210298571018267,
      0.310781070058918,
      0.380819134121059,
      0.223814102555303,
      0.30345530053821,
      0.142593261897636,
      0.248200506229655,
      0.397643171769573,
      0.275025794290692,
      0.194483856176252,
      0.214111834120833,
      0.151433421615709,
      0.472831952772388,
      0.262651568175183,
      0.344079142625025,
      0.141037787498683,
      0.159517115687662,
      0.28770463236051,
      0.209590003786057,
      0.232053943626079,
      0.19854332048655,
      0.1380321785321,
      0.408413157693835,
      0.22938330355221,
      0.226543153083496,
      0.212186143334044,
      0.198502387627487,
      0.326918486136141,
      0.362753862108522,
      0.245567309711658,
      0.26882967433938,
      0.213245211268954,
      0.405803656121881,
      0.331322837064638,
      0.325814880061714,
      0.174298946340391,
      0.282006805233016,
      0.374037724492248,
      0.411825793623405,
      0.341701288564075,
      0.39212353057148,
      0.339007160148531,
      0.314248080831833,
      0.39862054404028,
      0.302053580578075,
      0.413570387248507,
      0.423334847840124,
      0.166290895385623,
      0.306507413830382,
      0.396114677923923,
      0.398328561489317,
      0.36228827564362,
      0.394771766059714,
      0.427097523459842,
      0.328358659093301,
      0.243001203750761,
      0.346860083300301,
      0.396926559259238,
      0.389804194671974,
      0.421177899169628,
      0.454623819189575,
      0.349826429913352,
      0.329354774257694,
      0.50681201412168,
      0.469995778893179,
      0.308161534250593,
      0.24751080887694,
      0.368056856760762,
      0.384778138664738,
      0.371385705968458,
      0.289624617788707,
      0.31933057276802,
      0.236134722347564,
      0.143749041363698,
      0.299260490920049,
      0.477833646219439,
      0.429350437312235,
      0.267760435838097,
      0.277497923919197,
      0.197013018598916,
      0.34577193031378,
      0.27623282305073,
      0.288937046978132,
      0.389525084276901,
      0.139326084162705,
      0.365130571688031,
      0.303499024540604,
      0.222933705723577,
      0.286846912381375,
      0.368059005702542,
      0.464347433526262,
      0.409286038090561,
      0.36117482001143,
      0.365199974049793,
      0.351751877778216,
      0.549591964253575,
      0.398628432347906,
      0.250961878110428,
      0.320990220073832,
      0.236943912236622,
      0.205467507478077,
      0.276016528788973,
      0.224848411226104,
      0.285754269915554,
      0.228275608485281,
      0.369588510960385,
      0.375767843368974,
      0.23435217166996,
      0.298843641948169,
      0.27129118079552,
      0.290650659355244,
      0.321582492953596,
      0.242099740289556,
      0.221053264282824,
      0.30519324412225,
      0.376423823463052,
      0.474588197962315,
      0.438277203251418,
      0.417438853339421,
      0.234075721991781,
      0.304194359116452,
      0.327009087713798,
      0.294307494546824,
      0.224717433589707,
      0.279126366121846,
      0.398756280833552,
      0.290996801296116,
      0.283220911668829,
      0.274007493776379,
      0.227838218717075,
      0.389181862293041,
      0.456682016616778,
      0.280224903069545,
      0.345478662761477,
      0.251667173904514,
      0.368527713360454,
      0.251581622474734,
      0.260296047521465,
      0.292068170200414,
      0.241567870295121,
      0.362728981108047,
      0.192306925450716,
      0.385434233797642,
      0.433108013448574,
      0.314033378143715,
      0.360720361294036,
      0.28625738567185,
      0.254623328081729,
      0.386427479942093,
      0.309937882429265,
      0.377921211761802,
      0.356571056734934,
      0.376611976194563,
      0.41134232859818,
      0.439033036029397,
      0.323054237265294,
      0.330954662488506,
      0.446200249278064,
      0.365269570294784,
      0.342831878442722,
      0.304399430329111,
      0.326884328805531,
      0.388542080164714,
      0.446631256560769,
      0.435185717455427,
      0.460370357802954,
      0.393835394294415,
      0.357025988871997,
      0.441646746028573,
      0.466220846859944,
      0.428124204674183,
      0.396964003192107,
      0.332262002091224,
      0.431046338392067,
      0.359106430331174,
      0.2746365514047,
      0.264129442371057,
      0.223236251025797,
      0.288282201257138,
      0.33337514121805,
      0.28176273278165,
      0.366789033782334,
      0.311036049772439,
      0.341682806042092,
      0.384921102390302,
      0.456470053378037,
      0.375241030332174,
      0.351216776392869,
      0.230955775945462,
      0.464217216375402,
      0.397077941416177,
      0.30667765498149,
      0.328946917405371,
      0.424822344438194,
      0.423752362078413,
      0.403642819841426,
      0.34614438196484,
      0.294319109662447,
      0.353399172775912,
      0.379457189259008,
      0.426419207809321,
      0.28491800971479,
      0.262859890858511,
      0.390782595213143,
      0.372101487591333,
      0.327508247655,
      0.272723169763361,
      0.316482807997074,
      0.243892773390147,
      0.275273626832757,
      0.401516249631098,
      0.353729830733709,
      0.374147874085338,
      0.433808673033178,
      0.414780522003074,
      0.378306928060528,
      0.42330216440683,
      0.407069267859218,
      0.367830335425059,
      0.262574872083621,
      0.351559906721945,
      0.338762960535425,
      0.270064673723783,
      0.412834550501274,
      0.284337131028292,
      0.391531607229689,
      0.386044418074192,
      0.404487457672912,
      0.39437602248266,
      0.253822439899389,
      0.389817467866314,
      0.282970764506891,
      0.285509647058539,
      0.244862616607038,
      0.357300710655387,
      0.240191998881514,
      0.434233871377908,
      0.370105778378591,
      0.445260629022762,
      0.340747224081701,
      0.326336163475083,
      0.423314087694155,
      0.335053375047322,
      0.267599989088366,
      0.284891020673241,
      0.337426382114231,
      0.438127503134027,
      0.373066464289632,
      0.214854784884862,
      0.292968986102085,
      0.183220710173505,
      0.364767922291052,
      0.211653970706858,
      0.11445569492592,
      0.290694411129456,
      0.29597764965674,
      0.139913825544143,
      0.275827140113229,
      0,
      0,
      0.164447715066746,
      0.00973607402612861,
      0,
      0.14761777372839,
      0,
      0.136441957030402,
      0.273808455774577,
      0,
      0.360581231178735,
      0.182387129278309,
      0.181825106835682,
      0,
      0.159751474174883,
      0.019296615958856,
      0.108208326830843,
      0.198159554537983,
      0.0224366957301669,
      0,
      0.194650837464893,
      0.0558313521290673,
      0.0770085213886432,
      0.0179442674955033,
      0.208467338844448,
      0.0257292244576011,
      0.425638662455539,
      0.27935738562073,
      0.467943849682472,
      0.140335254803489,
      0,
      0.272400099805589,
      0.117990790394894,
      0.129297756541211,
      0.0431964424634565,
      0.292320927061505,
      0,
      0.340352190040526,
      0.0390215390013662,
      0.131710571031832,
      0,
      0.170965423514557,
      0.104007317137884,
      0.0522662167907157,
      0.326458264624688,
      0.270924434730978,
      0,
      0.383269846486342,
      0,
      0.158496175433416,
      0,
      0.143432371470752,
      0.431533787905243,
      0.181186424150872,
      0.227619369121512,
      0.192054755553584,
      0.110770850122549,
      0.3194501334014,
      0.166850286573626,
      0.354580455861454,
      0.209429306433486,
      0.346514823824239,
      0.234999313533228,
      0.313555750041817,
      0.465100615669733,
      0.41531957781694,
      0.440381623683782,
      0.354500904867271,
      0.415914019624732,
      0.327261628960284,
      0.303855266695063,
      0.300488751543956,
      0.119501856207724,
      0.288106191670127,
      0.347674499430879,
      0.347121311881212,
      0.165052267333656,
      0.223380745308801,
      0.179867445304173,
      0.0673557557687468,
      0.399463754822288,
      0.176278676792164,
      0.192051054778865,
      0,
      0.193588898765017,
      0.367452001024544,
      0.32334643334958,
      0.452699407788378,
      0.426744938062116,
      0.231654475027423,
      0.491135180551116,
      0.302488115640937,
      0.304731781895102,
      0.241438394131217,
      0.187260767349498,
      0.33625471707928,
      0.196714618904592,
      0.243314888772905,
      0.187318657272736,
      0.137431657869889,
      0.40775693523151,
      0.162018943602143,
      0.147397115438832,
      0.0146281163604753,
      0.188654794000712,
      0.409410519548893,
      0.211267071766578,
      0.361654993988165,
      0.363504646494124,
      0.275600596400461,
      0.393617067477861,
      0.202175840025956,
      0.308972896842307,
      0.345946628485811,
      0.241770945347474,
      0.404293302753443,
      0.321454215716163,
      0.27034419593308,
      0.187885500125556,
      0.377998440714837,
      0.362673061722395,
      0.319952788382181,
      0.235888877901043,
      0.205250180260074,
      0.156115034748335,
      0.197898231683368,
      0.298566857361592,
      0.300331569436439,
      0.163914195382391,
      0.197633528464226,
      0.0718163138799018,
      0.282281793847162,
      0.231142277973754,
      0.158783695477368,
      0.218829977611176,
      0.17080822441903,
      0.357023103143056,
      0.35153375671491,
      0.156967416601437,
      0.282102834820579,
      0.175846860950403,
      0.336902360165692,
      0.30751276166531,
      0.385279298879775,
      0.367078627142242,
      0.240729133025211,
      0.350743944311575,
      0.348599732391554,
      0.212783199918884,
      0.258390764434399,
      0.170809303086745,
      0.231455229920859,
      0.269155796288656,
      0.257671838518067,
      0.198201263671519,
      0.23273756370045,
      0.168861629691056,
      0.421319869711775,
      0.248809623666772,
      0.186919665396406,
      0.264830398773012,
      0.367098105475452,
      0.285946976437589,
      0.417703800221393,
      0.344018500104103,
      0.207255288025084,
      0.231217186087948,
      0.282045101964296,
      0.374763544680107,
      0.386290085576901,
      0.325959633184399,
      0.218540396777619,
      0.157604755406026,
      0.382677165114442,
      0.37756417431389,
      0.132889224223599,
      0.227553561822597,
      0.29694470284978,
      0.384714266294688,
      0.280805043690207,
      0.247572677958912,
      0.230072253547603,
      0.12021608688037,
      0.367210118038843,
      0.359315959640541,
      0.102896160789531,
      0.240498267337141,
      0.0577405699640475,
      0.425425443673117,
      0.184627104445953,
      0.0775491452002932,
      0.18481285552936,
      0.0520798496018888,
      0.362724774494874,
      0.40092129126913,
      0.120456846840154,
      0.240056975172672,
      0.055411467638007,
      0.368200540027521,
      0.356364162802869,
      0.128034644667047,
      0.2326584814456,
      0.0184171559585981,
      0.292998586771306,
      0.372729279865314,
      0.108655834209,
      0.22501949956761,
      0.0832223654854957,
      0.313249799192293,
      0.260969949177446,
      0.283394374755655,
      0.335340338929366,
      0.199537210534608,
      0.349473422866759,
      0.408376564786141,
      0.220339155962241,
      0.297363601024535,
      0.267911597905985,
      0.280965023457701,
      0.405066490576302,
      0.191140680484523,
      0.332995883481008,
      0.385322184912393,
      0.358874409654578,
      0.315039490354168,
      0.351414624274469,
      0.383101587253148,
      0.252912943535803,
      0.253647410436278,
      0.4089787341513,
      0.222993571068757,
      0.220225997910924,
      0.221791464160063,
      0.0727412791011052,
      0.364329351818899,
      0.218667712433647,
      0.26019551697782,
      0.148177699461353,
      0.246600824266368,
      0.287467619127343,
      0.210844823953837,
      0.269133618507498,
      0.211654596117624,
      0.299630442175722,
      0.374005522924871,
      0.237399534924989,
      0.265094465579316,
      0.190141614276012,
      0.302605495887645,
      0.391207290240047,
      0.21893490290019,
      0.256297585001714,
      0.200359762803025,
      0.160126195097779,
      0.44452653827502,
      0.222530752749777,
      0.380543783912707,
      0.183245605991249,
      0.182436171935841,
      0.349754739023486,
      0.236569589361592,
      0.245360090553578,
      0.181823285705808,
      0.160567635499203,
      0.413503549373232,
      0.276816616989278,
      0.252122924661774,
      0.237007973854766,
      0.180410563149998,
      0.342396845803672,
      0.360245700306034,
      0.214748983463003,
      0.293989241207476,
      0.198542838501848,
      0.392737233452102,
      0.342132810020161,
      0.332112484772323,
      0.200109880424367,
      0.280799685875956,
      0.359075829073603,
      0.384761153606844,
      0.341420549715987,
      0.356573029142648,
      0.279637122806191,
      0.290205074534263,
      0.394267312036058,
      0.273996949810074,
      0.392631885832499,
      0.400237429253747,
      0.159152544350934,
      0.307967050390122,
      0.366998082109754,
      0.333268712193659,
      0.358826751906629,
      0.401008127758466,
      0.417521209301321,
      0.358907380692521,
      0.235434449960392,
      0.342166944528237,
      0.364001601199198,
      0.405923859060213,
      0.416656033019613,
      0.476676897859835,
      0.346231422977026,
      0.318024932589534,
      0.49899135192205,
      0.411094657057256,
      0.263100264876688,
      0.218243034545802,
      0.255488169342171,
      0.28961589583441,
      0.391754058672098,
      0.310944598905118,
      0.272437024785194,
      0.195937520585826,
      0.145190225847058,
      0.296158744112837,
      0.434654586082968,
      0.349302201393436,
      0.280514689522259,
      0.267283889437343,
      0.183318644679066,
      0.36502362394387,
      0.270021991020449,
      0.237801546799146,
      0.282349700591008,
      0.143712882079615,
      0.360842334786925,
      0.273342737642957,
      0.222080765757814,
      0.26406773309749,
      0.327210831684283,
      0.443233338128448,
      0.413072154325247,
      0.347300983540015,
      0.351900780867467,
      0.327019835575815,
      0.483146212939313,
      0.41527231115425,
      0.269986557654974,
      0.240863696082542,
      0.262070872158812,
      0.182603454495766,
      0.280301261792881,
      0.236280935630451,
      0.286003103975809,
      0.229013637778378,
      0.345442415651638,
      0.345211073905214,
      0.239336350992398,
      0.271483292743192,
      0.279534528300498,
      0.245702697881373,
      0.340759211650736,
      0.292492768617288,
      0.18550437422469,
      0.300213710565702,
      0.343581884313914,
      0.447573658431649,
      0.387887970443924,
      0.356963691746575,
      0.248501894871894,
      0.295249345853404,
      0.358221286496042,
      0.294465207516589,
      0.22942996958006,
      0.306717242482095,
      0.359828381159403,
      0.324463747560504,
      0.288031124687147,
      0.258113037337255,
      0.214515120026677,
      0.35243482836893,
      0.428027627197208,
      0.252962391235245,
      0.295649392760522,
      0.246084558607379,
      0.317537981806491,
      0.259099142045278,
      0.263881126047004,
      0.284970080926463,
      0.226903179819936,
      0.349026824582759,
      0.19801625374356,
      0.373516634645051,
      0.401021976513534,
      0.285970588811115,
      0.321801880618706,
      0.25359556709891,
      0.255401942655942,
      0.32823176721409,
      0.320963117919135,
      0.329032821805893,
      0.331792555972966,
      0.386512468043254,
      0.39798309059399,
      0.370417858943722,
      0.349067638632121,
      0.313881224568243,
      0.45125022038955,
      0.376750582921576,
      0.303917039946144,
      0.284704491858166,
      0.336861342320332,
      0.332144830673536,
      0.46287398952834,
      0.409079737266007,
      0.406192900953607,
      0.327699249045235,
      0.33506868429275,
      0.432661496993817,
      0.438177605282227,
      0.363702832444307,
      0.388230035971444,
      0.333857795128235,
      0.359813529798114,
      0.352252539809722,
      0.258089920500144,
      0.269650704754654,
      0.208625957779001,
      0.282518152348442,
      0.300904414216512,
      0.305296760859149,
      0.314421268984583,
      0.340774760786474,
      0.319196237191047,
      0.3825857242085,
      0.375428130896305,
      0.357075971830551,
      0.367992780824558,
      0.249138957413546,
      0.47981818386132,
      0.370012260417989,
      0.248739686250408,
      0.367505814276292,
      0.374169535641986,
      0.408931514950255,
      0.433917806059329,
      0.350738625484781,
      0.298154790990459,
      0.24556448934914,
      0.362076054492266,
      0.433841645380964,
      0.315767846050654,
      0.252588829136636,
      0.330217032533554,
      0.356229779525135,
      0.32663803763485,
      0.317344558047832,
      0.350564144219234,
      0.22779219194664,
      0.25406638787699,
      0.387660572779232,
      0.333524315940016,
      0.355572223212056,
      0.417817341133297,
      0.359032648710425,
      0.424606380980834,
      0.433992740573753,
      0.374937734562157,
      0.392088935031496,
      0.235226270083848,
      0.342308945549041,
      0.389510035271745,
      0.279264698299712,
      0.395810806710662,
      0.272664753991921,
      0.416763547493413,
      0.408541114543733,
      0.401259830092456,
      0.391699291706423,
      0.244570730558799,
      0.39332185023228,
      0.33346909536917,
      0.275818150109821,
      0.237922768877343,
      0.37099046923842,
      0.230576719313361,
      0.434725196099039,
      0.397648332283034,
      0.264799166180472,
      0.332918199024039,
      0.312261472773381,
      0.370241914068178,
      0.342680409119478,
      0.302368027585137,
      0.300445418372209,
      0.284762635583639,
      0.446987261915666,
      0.355801148059326,
      0.210370171521908,
      0.267854587500656,
      0.186451528982891,
      0.391102467102701,
      0.213609037234812,
      0.160799614509077,
      0.301524305958643,
      0.26602145292448,
      0.103706626303424,
      0.280987769497224,
      0,
      0.000886468353369054,
      0.149031226619828,
      0,
      0,
      0.197869872256485,
      0.0652431004626072,
      0.071834128779994,
      0.238189026765004,
      0,
      0.325751488372532,
      0.113772790857807,
      0.122141176475199,
      0,
      0.195875330041707,
      0,
      0.101682369349086,
      0.188173646576934,
      0.0000802642845736719,
      0,
      0.165946840158918,
      0.0340633144994147,
      0.0663661804847383,
      0.0270459548447407,
      0.240314274205285,
      0.0051501759194895,
      0.413351674972172,
      0.261678798898674,
      0.498874948772448,
      0.148070283176915,
      0,
      0.288793470286985,
      0.155341901660433,
      0.123058245865029,
      0.0145844945556944,
      0.293959826449814,
      0,
      0.372227695114105,
      0.0398016712814927,
      0.0611953756932403,
      0,
      0.189366787158908,
      0.0924304979029814,
      0.0281684039034122,
      0.331405801956582,
      0.211793386864229,
      0,
      0.425154597696788,
      0,
      0.160123044230656,
      0,
      0.176902472996905,
      0.420653502066944,
      0.164682835393433,
      0.216682874268552,
      0.226227245957714,
      0.157325030086009,
      0.324418038970499,
      0.132569878622034,
      0.332580138534057,
      0.227089673578848,
      0.338852396181046,
      0.258897920644343,
      0.332175443017147,
      0.444261018126795,
      0.372773828835851,
      0.417548125175157,
      0.339880925719377,
      0.330093457393031,
      0.286185379602132,
      0.286378170615546,
      0.313875814175052,
      0.124881902311327,
      0.299052977041681,
      0.284520782773221,
      0.372681176245286,
      0.122922708549148,
      0.210121017367464,
      0.125563615421021,
      0.0798342267805476,
      0.398838420331145,
      0.201933031003732,
      0.222630293881084,
      0,
      0.208214391955374,
      0.402522330366921,
      0.238435942205732,
      0.396903922988812,
      0.457817595563212,
      0.233091861720502,
      0.521937989327706,
      0.257790252432392,
      0.300957176112081,
      0.18687004439579,
      0.137435504098582,
      0.385264687989253,
      0.224185501258585,
      0.215514742790638,
      0.169944621609931,
      0.108296448745278,
      0.400069747329835,
      0.204204245060231,
      0.157111602186621,
      0,
      0.139310179950013,
      0.440429248792091,
      0.203655434134772,
      0.367010686292219,
      0.380367577901491,
      0.179254849948655,
      0.431498028414228,
      0.233724381633276,
      0.362816151486768,
      0.335557792465915,
      0.239844987056415,
      0.41369884639234,
      0.36142298806835,
      0.281121429123594,
      0.199940716548599,
      0.394488801951456,
      0.332049122229892,
      0.300262639583455,
      0.228238655500254,
      0.188435789775408,
      0.180881719220268,
      0.169688372397148,
      0.318818015675971,
      0.303407040270874,
      0.234484922260439,
      0.238573245572522,
      0.145544934168249,
      0.326569005647,
      0.260192938487244,
      0.163920705791005,
      0.208270485374016,
      0.149412487208215,
      0.390759751166882,
      0.358961789444511,
      0.20250508946346,
      0.277336998174292,
      0.14109217611568,
      0.363830989199278,
      0.25044389788758,
      0.371948470370378,
      0.382945294774691,
      0.1996849872847,
      0.361868769475666,
      0.375957767771092,
      0.242685791915573,
      0.236775573700611,
      0.152104359257894,
      0.20976898773214,
      0.254465513048424,
      0.235900312505403,
      0.219619314228508,
      0.226285742821278,
      0.154836810836197,
      0.382207183636379,
      0.199768759647383,
      0.166206403018484,
      0.259436813059014,
      0.351077350341286,
      0.292019875826038,
      0.425459537148535,
      0.346898118681096,
      0.199676610701844,
      0.238241008602687,
      0.272213669691534,
      0.355760540941156,
      0.371954904541875,
      0.312958427359349,
      0.192162300834662,
      0.184791857651586,
      0.404246049177718,
      0.363360678521011,
      0.100109580169606,
      0.225233116140995,
      0.190496368751136,
      0.384316418516492,
      0.263770172424494,
      0.1877228281906,
      0.255111715528504,
      0.139301552427863,
      0.356466787128116,
      0.356754762698166,
      0.121596531115244,
      0.263813145777172,
      0.0119514004858342,
      0.441905553923155,
      0.189251427867855,
      0.0526674512021286,
      0.212488247494391,
      0.0414959636553998,
      0.358288598329123,
      0.422910962452258,
      0.136028403972768,
      0.262714360590185,
      0.0287771630605181,
      0.394116240518959,
      0.387054769483836,
      0.145843523097171,
      0.242975147610611,
      0,
      0.344100690110392,
      0.406189221549599,
      0.109403315750585,
      0.236757398279717,
      0.0663871597957245,
      0.351422540998962,
      0.262738177121591,
      0.257008646760767,
      0.299030922598965,
      0.187303410796595,
      0.32269102987724,
      0.446361905329193,
      0.201249691251716,
      0.305319832048028,
      0.463770667827119,
      0.254316198364438,
      0.423459198352535,
      0.180204177333642,
      0.382924175938786,
      0.328059302398044,
      0.333713082702491,
      0.331198200335304,
      0.308970286121852,
      0.356825841982525,
      0.264880566400801,
      0.239372477807356,
      0.361142073420325,
      0.239179123819017,
      0.226743263735225,
      0.239118587706122,
      0.0971928263886078,
      0.395915749343377,
      0.209267813915369,
      0.222324579442885,
      0.184195082214402,
      0.235227702368447,
      0.292751154873435,
      0.204705505610677,
      0.266890641142253,
      0.211186130355417,
      0.331263184137489,
      0.40005102288187,
      0.217604092359228,
      0.383735835916239,
      0.209385654457536,
      0.501881956441488,
      0.425378389798839,
      0.275642914761698,
      0.265031008522252,
      0.209541266024104,
      0.175532358686612,
      0.455663053282624,
      0.238649488440717,
      0.254419865838375,
      0.155042838761194,
      0.150063080775985,
      0.305998466561325,
      0.246621441634438,
      0.209562573776447,
      0.203518109989765,
      0.171349718721604,
      0.400595969655467,
      0.285539105524437,
      0.248751413021723,
      0.239056562052665,
      0.180737472263735,
      0.305568219249083,
      0.305328042089591,
      0.241175417456403,
      0.248157759628969,
      0.168406729700184,
      0.396741466138044,
      0.30013060503814,
      0.297142672969669,
      0.205615385834986,
      0.249688483333612,
      0.370284506648459,
      0.339486260377102,
      0.322733120984259,
      0.325765164972793,
      0.203237455832754,
      0.248791131638896,
      0.372148526585672,
      0.238213654768588,
      0.358410625443909,
      0.355211432207014,
      0.168102395745043,
      0.326461243661004,
      0.363547653186798,
      0.333466853214685,
      0.376158517532738,
      0.419445255174473,
      0.405645523828726,
      0.350887587962732,
      0.23106920986998,
      0.354878806607894,
      0.298948068743352,
      0.409338740809954,
      0.44042491375288,
      0.405453064238776,
      0.385395900725441,
      0.303841101101955,
      0.49086272313833,
      0.410624704092147,
      0.292345027493524,
      0.212105032146267,
      0.238488719561648,
      0.316915368463953,
      0.361383581370966,
      0.307186060577167,
      0.287054679775419,
      0.166401508928635,
      0.16544078362004,
      0.269889514969124,
      0.394397249661241,
      0.323422632319802,
      0.288742260421464,
      0.254653774329356,
      0.201236956671205,
      0.372232238093198,
      0.282211536828996,
      0.236505269070087,
      0.25609402035384,
      0.136609842059457,
      0.346357894940981,
      0.301359832491069,
      0.225409067888808,
      0.267683314622606,
      0.269166574313537,
      0.46150659162744,
      0.456704693620839,
      0.337875351003204,
      0.3364598820562,
      0.352205639722985,
      0.455127908480011,
      0.386744594817548,
      0.268908852914684,
      0.250499564229668,
      0.264755949467333,
      0.200748837632091,
      0.280022463454193,
      0.230344816139184,
      0.305782823101239,
      0.230598461212338,
      0.316975899482294,
      0.380087653016839,
      0.255641928710341,
      0.21171224039104,
      0.28096291569002,
      0.203978346294017,
      0.328310588661754,
      0.274701011458218,
      0.21452830606754,
      0.269658613429796,
      0.301751877029405,
      0.408492467760047,
      0.363965301882479,
      0.379670601956366,
      0.272359575184271,
      0.282402976552768,
      0.340589494658464,
      0.331714907498792,
      0.223135144933295,
      0.318791912007534,
      0.326129614952279,
      0.32920044807737,
      0.295908421711816,
      0.241328998279454,
      0.208211262215068,
      0.396444983974613,
      0.432502894971824,
      0.223238220029305,
      0.222705480006243,
      0.221474112350042,
      0.203909093427037,
      0.18790330732112,
      0.272802442841757,
      0.276531677180658,
      0.238498763196342,
      0.319476580397999,
      0.201839048764605,
      0.37024347291749,
      0.45249471439054,
      0.266185023906434,
      0.370336599412944,
      0.274494428231886,
      0.265285728238707,
      0.336113278150625,
      0.315145611605543,
      0.354624365187074,
      0.321951155033883,
      0.377900677970352,
      0.414658444115132,
      0.352718502247793,
      0.318850295753597,
      0.260240613705381,
      0.445356903310666,
      0.412967221354242,
      0.329672392625424,
      0.314666358288328,
      0.335395009514814,
      0.315217105453927,
      0.413547087217985,
      0.419361383274397,
      0.41443673980398,
      0.377042223625993,
      0.346367200910874,
      0.413050256507682,
      0.395864372193086,
      0.346594780654056,
      0.368188351970518,
      0.328035205522341,
      0.384801011491988,
      0.362060707512318,
      0.261316985338434,
      0.268976640651543,
      0.239736971711791,
      0.278810071836593,
      0.303068065982436,
      0.32414344938293,
      0.321626603191289,
      0.318779497565012,
      0.297957215431961,
      0.35266989426443,
      0.299633649760901,
      0.374067675212687,
      0.388107356939407,
      0.242788749305577,
      0.429802249593399,
      0.382700822413118,
      0.300780362457984,
      0.36130838445856,
      0.388771353686744,
      0.381978621242586,
      0.418965285209431,
      0.32571702647414,
      0.26808469769738,
      0.192041655068636,
      0.377274278839115,
      0.425689295726439,
      0.292315076323799,
      0.238107881424559,
      0.314202796359366,
      0.321264796989431,
      0.300801010618138,
      0.256448397128203,
      0.353764276624502,
      0.268578549085396,
      0.26800546620805,
      0.379645635672661,
      0.351429022629756,
      0.353017107883834,
      0.387122507545101,
      0.378934935305598,
      0.385329414173337,
      0.386886899713209,
      0.358665001758554,
      0.360769149214972,
      0.27753200310055,
      0.343861574358535,
      0.345292089778556,
      0.291999980947869,
      0.381884154647395,
      0.309273491227426,
      0.378917962618151,
      0.403782441285153,
      0.312322722942178,
      0.347375561476871,
      0.224252042809603,
      0.398491383916614,
      0.291120168114207,
      0.256864454123386,
      0.206182287517308,
      0.400920315737234,
      0.223891605959416,
      0.434965331554353,
      0.316910747444298,
      0.318627176320913,
      0.24836115371374,
      0.196216463841626,
      0.334370597871711,
      0.27713288424352,
      0.252863781487547,
      0.232757389463874,
      0.319210566971349,
      0.388359461670837,
      0.351655810086337,
      0.199154071901555,
      0.297421543015507,
      0.168109046327317,
      0.363882626324928,
      0.175561781541478,
      0.159680804086735,
      0.265728423725065,
      0.233554777921267,
      0.124851624935669,
      0.286541125336599,
      0,
      0.0346914750551519,
      0.157072946981826,
      0.0699252593982702,
      0,
      0.24723399580165,
      0.133505484912047,
      0.0666374061971014,
      0.222347781336999,
      0,
      0.344691712974622,
      0.0957049245654473,
      0.13421517503277,
      0,
      0.205251142629405,
      0,
      0.0721543038128669,
      0.169801904463503,
      0.00745671725781412,
      0,
      0.135414304305221,
      0.0965123281434286,
      0.0960264466268863,
      0.0285985639358038,
      0.268428888345118,
      0,
      0.423646347865258,
      0.229772948907294,
      0.455358911084174,
      0.117272959013235,
      0,
      0.268855272130339,
      0.206612756961202,
      0.159151962106676,
      0.0501273899905952,
      0.309484294307371,
      0,
      0.337562544151882,
      0,
      0.07443258373645,
      0,
      0.169399696092542,
      0.105492210874305,
      0.0283495888550374,
      0.30476007803367,
      0.161954437018414,
      0,
      0.382004230577009,
      0,
      0.125607337183759,
      0,
      0.207989901474357,
      0.419450954548031,
      0.203984009538573,
      0.218992242914117,
      0.237387935604863,
      0.179482832293085,
      0.310686427713707,
      0.133340731634172,
      0.365664985693417,
      0.219161531581454,
      0.352887411416264,
      0.246534027003933,
      0.356612421207603,
      0.488801475917105,
      0.342548362800923,
      0.419147417430947,
      0.258719706981801,
      0.269586276485844,
      0.235414126549384,
      0.285297309124129,
      0.292124505060975,
      0.126061002440782,
      0.303409692439674,
      0.246224118462026,
      0.354530013549657,
      0.158603589401629,
      0.214323923076662,
      0.162576484758788,
      0.0966521966445484,
      0.411901365735662,
      0.182052672546831,
      0.212990278557366,
      0,
      0.221313565662765,
      0.421649767743751,
      0.221590626700122,
      0.30262279139571,
      0.425570375459873,
      0.224747548187895,
      0.503404840194939,
      0.197539478963351,
      0.282810049551004,
      0.114198965281495,
      0.121050318898197,
      0.355952127199272,
      0.213970205538868,
      0.194337690172431,
      0.212957999398551,
      0.024445213315275,
      0.415751016190595,
      0.174680963142304,
      0.105461872564035,
      0,
      0.122782283555134,
      0.420658340001923,
      0.190516006206762,
      0.387588799363429,
      0.32119752269901,
      0.20119676162114,
      0.441112625888448,
      0.212429824289153,
      0.334667500724849,
      0.338131577675971,
      0.254374747583162,
      0.413962572122809,
      0.360425634797377,
      0.234318180026713,
      0.141327120973604,
      0.36996164497755,
      0.322936305299911,
      0.267804108994721,
      0.142091347860763,
      0.189390081992974,
      0.147457513568089,
      0.167933276448895,
      0.298219725599287,
      0.292991398073528,
      0.161197470918153,
      0.223604482897261,
      0.0629209045729179,
      0.335795456062243,
      0.236614406996712,
      0.130660530975445,
      0.233152753801819,
      0.19951477589029,
      0.40059006216999,
      0.313225705972661,
      0.164521646045293,
      0.298708454021698,
      0.131451597825082,
      0.361166649901859,
      0.216265932472387,
      0.30675977191935,
      0.361412638541012,
      0.105766597786005,
      0.321921405078213,
      0.344843381601967,
      0.185420215690103,
      0.230078338381441,
      0.168984306634027,
      0.219488939065109,
      0.239690654845934,
      0.209916011930119,
      0.18641845955674,
      0.214987020702212,
      0.156088719993351,
      0.400654066202154,
      0.173618207518315,
      0.214339945326408,
      0.237053460990679,
      0.303987940203428,
      0.248992118555223,
      0.417598829985681,
      0.327379886621966,
      0.220510051842872,
      0.194939893806033,
      0.240727506484705,
      0.380015201106455,
      0.441629447995315,
      0.349596659782485,
      0.191193176618752,
      0.159078360999953,
      0.42017730766521,
      0.372967986596248,
      0.118460510167794,
      0.23271854671178,
      0.284249245874023,
      0.410359555860054,
      0.293901213184451,
      0.244867439510216,
      0.248816398448744,
      0.162852759411298,
      0.332147806991469,
      0.336988474185005,
      0.111969215791178,
      0.247822253123393,
      0.018430543391791,
      0.455447114675819,
      0.172525580153037,
      0.0338152350637673,
      0.215588206199613,
      0.0140952885834265,
      0.369710133032056,
      0.442176466053997,
      0.108120720775843,
      0.275149746998013,
      0.0560107761576667,
      0.396758714216536,
      0.401034748524987,
      0.126350996783114,
      0.240952261096847,
      0,
      0.346312254798307,
      0.409991007466864,
      0.102215741037988,
      0.232342506802512,
      0.0574969096604667,
      0.380351978541345,
      0.262202837734322,
      0.322814532772489,
      0.289596646554843,
      0.221930332444051,
      0.368165396442943,
      0.435260246590305,
      0.181835448366019,
      0.301899826183597,
      0.458172935238714,
      0.198793877451673,
      0.406870000536182,
      0.199537419414822,
      0.377148278327768,
      0.400632355985655,
      0.380540336584581,
      0.321269693353246,
      0.326067663908034,
      0.385614754600866,
      0.271878824097079,
      0.218554911079451,
      0.399646534952937,
      0.275016974802711,
      0.236190863071138,
      0.259540905315544,
      0.100026777331263,
      0.387213547674649,
      0.200656186840423,
      0.219965636527305,
      0.196160736925586,
      0.209597838738711,
      0.315676961443577,
      0.231498899395965,
      0.244589745389122,
      0.230952102828896,
      0.308385928846648,
      0.406536244440332,
      0.220331055469454,
      0.293497357664383,
      0.181310298923887,
      0.325299128052918,
      0.494842869757841,
      0.249572167546932,
      0.189716387326115,
      0.193404453500344,
      0.14462210850847,
      0.440323193726357,
      0.239443157835188,
      0.374827118190801,
      0.151237446120234,
      0.186089676473736,
      0.338057327377666,
      0.223174753679636,
      0.186439669247736,
      0.180516097884023,
      0.153708434842721,
      0.412146479945758,
      0.219468265655203,
      0.14533777985034,
      0.205175987065722,
      0.162418488851322,
      0.327077453177371,
      0.317008493937734,
      0.200972958065765,
      0.209744138828636,
      0.147450745667868,
      0.41779328033015,
      0.221646783132268,
      0.290681654210429,
      0.22002243504452,
      0.200110679789531,
      0.362391122782751,
      0.336060134215123,
      0.313049800797547,
      0.339210959290155,
      0.170446608847477,
      0.249396912415878,
      0.337418472205957,
      0.208130793958048,
      0.311342000352738,
      0.410897102347812,
      0.127791817702626,
      0.321067171135761,
      0.366003924342694,
      0.314186127532124,
      0.425893355342996,
      0.394985237073979,
      0.396243437832457,
      0.305658467933473,
      0.176476504606603,
      0.309295175704878,
      0.206455596955661,
      0.353351953814347,
      0.436820102691504,
      0.34744802546431,
      0.381650319188602,
      0.317766744700726,
      0.446600967303492,
      0.372594931251954,
      0.294320619083439,
      0.193607149750481,
      0.2370874236343,
      0.257975669016963,
      0.344638032114376,
      0.268447358594671,
      0.237257628749937,
      0.18189249085951,
      0.142718047309816,
      0.261635746694519,
      0.310969964062924,
      0.290468253409422,
      0.241385285945329,
      0.217206993595254,
      0.151562565179327,
      0.347930398229716,
      0.253124336601462,
      0.222462952584863,
      0.277811373666351,
      0.192382973738093,
      0.305695931765537,
      0.338752856171891,
      0.211228986802843,
      0.236782169186898,
      0.288918650781882,
      0.434984008305822,
      0.461713492809331,
      0.293352081365307,
      0.338427856259098,
      0.351563933210107,
      0.457775069124933,
      0.403200970961274,
      0.242692004805879,
      0.247884985507865,
      0.244534000973202,
      0.161766268533879,
      0.31946257343941,
      0.213639227193302,
      0.263082145267107,
      0.249591850416558,
      0.290546727953086,
      0.377817762735069,
      0.21605740724159,
      0.225609820367885,
      0.278016606220843,
      0.180316922427188,
      0.32838908994883,
      0.248853351436183,
      0.200937156948209,
      0.238814373634923,
      0.251391171216998,
      0.45365816491362,
      0.352358696897618,
      0.395586692348343,
      0.230729070629549,
      0.249296703502942,
      0.361208874703477,
      0.284784153408047,
      0.216997801996839,
      0.296093832140262,
      0.24978596796786,
      0.303551913746029,
      0.288199632988733,
      0.149675682136853,
      0.229312851296298,
      0.329869770822539,
      0.445000744818029,
      0.250469137088726,
      0.203109085899031,
      0.145229038083741,
      0.156590275956406,
      0.178640844888277,
      0.235767256732544,
      0.159005118719413,
      0.15740811559286,
      0.282857655421726,
      0.154847525931508,
      0.390316699021836,
      0.473272399275892,
      0.267156568734639,
      0.37220032080247,
      0.221446195580364,
      0.271319295866061,
      0.33452611013477,
      0.308000550500083,
      0.360803669812137,
      0.314809624184918,
      0.353363100990132,
      0.407611013803795,
      0.367588732288354,
      0.237948594639972,
      0.215218073362976,
      0.448361603274968,
      0.409160165188672,
      0.33737555023924,
      0.298836118837961,
      0.309679520964929,
      0.313722492087851,
      0.418003497239639,
      0.416477391349434,
      0.418376521987611,
      0.358051298663913,
      0.341407914434469,
      0.403751085625534,
      0.357919514307988,
      0.344589383189949,
      0.386251544968436,
      0.338056314111045,
      0.409922516944725,
      0.369962758344015,
      0.206434710263999,
      0.271472902314792,
      0.222535230073427,
      0.287974112345078,
      0.316098441027289,
      0.299336059516764,
      0.306112945482459,
      0.315367727117928,
      0.294038270292793,
      0.345069349364832,
      0.273031047546176,
      0.356447833807249,
      0.360778473171148,
      0.241315334498632,
      0.430872615240312,
      0.3869525653864,
      0.310050431277519,
      0.328496716562398,
      0.338320835822072,
      0.39154968624998,
      0.365309721696113,
      0.298428542578423,
      0.273372568024667,
      0.136315731047206,
      0.373269064605805,
      0.375036884860373,
      0.228235920862907,
      0.260544721225337,
      0.28427356588624,
      0.327212104653625,
      0.281431112801284,
      0.215082694989521,
      0.299649023483446,
      0.273537270621591,
      0.283185421318235,
      0.410567632418905,
      0.295101041927842,
      0.343910772606585,
      0.335206768832799,
      0.249026406818291,
      0.409942848807981,
      0.389963306200061,
      0.377159144163829,
      0.39933504607402,
      0.294951247883572,
      0.360542158726461,
      0.333776960716298,
      0.320156491372327,
      0.353734781089277,
      0.288547658018528,
      0.390405350199212,
      0.401618241729335,
      0.371133213414116,
      0.378877437676904,
      0.214600380946471,
      0.386516890628592,
      0.339572752939564,
      0.239626676234086,
      0.214468473628977,
      0.362624743606397,
      0.247223935886775,
      0.419456996651514,
      0.384626250095321,
      0.472784649497241,
      0.367289147756514,
      0.34483988920701,
      0.360589400725654,
      0.34420635204174,
      0.274732574603078,
      0.3114759108799,
      0.382683306109608,
      0.405774857389511,
      0.360004763684599,
      0.227964665450799,
      0.245978122238212,
      0.224201810713155,
      0.362086367941289,
      0.199385423468895,
      0.151702014828406,
      0.336847672026741,
      0.295430137548905,
      0.106506422447236,
      0.277874076365473,
      0,
      0.0145630539064601,
      0.103511329045512,
      0.0833401618185245,
      0,
      0.254906568760241,
      0.172021571322079,
      0.0772392332360042,
      0.199707757290285,
      0,
      0.423709879284803,
      0.129671810037554,
      0.114441901351014,
      0,
      0.212547280723564,
      0,
      0.085795451848091,
      0.155834981180257,
      0,
      0,
      0.143582997529326,
      0.111837908697358,
      0.0911511223826179,
      0,
      0.270864327458763,
      0,
      0.469014868335373,
      0.197023998892171,
      0.414802151216758,
      0.110226963166552,
      0.00214277776263197,
      0.315732396272806,
      0.177259110560448,
      0.165833513772555,
      0.0999401087862414,
      0.25964681139143,
      0,
      0.403608649919747,
      0.00362840723443733,
      0.0868556997674615,
      0,
      0.14903592902387,
      0.0865628455895027,
      0.0177929574741558,
      0.224528902952572,
      0.0512305469808925,
      0,
      0.453911675179697,
      0,
      0.155098727066649,
      0,
      0.22760608478999,
      0.445318960424609,
      0.227575959094105,
      0.20850832040828,
      0.195885269870522,
      0.192029648284435,
      0.287375488459193,
      0.171522011316317,
      0.334542701554185,
      0.184960749625276,
      0.337448537526275,
      0.294254174304884,
      0.325833857661627,
      0.43618532638549,
      0.301261455957493,
      0.453799850580829,
      0.237689585789335,
      0.222714971402339,
      0.183220848645325,
      0.300716072681917,
      0.324856305922072,
      0.140773936826734,
      0.285157205937555,
      0.269456977195875,
      0.382460674216616,
      0.185747707524527,
      0.172986362832966,
      0.136239966613534,
      0.147307299512564,
      0.456109164059104,
      0.185828937174305,
      0.180467467242007,
      0.00657637114537457,
      0.273129849829982,
      0.445265141592531,
      0.172013670011908,
      0.359766585440807,
      0.401609987779711,
      0.2837986041713,
      0.494066408801074,
      0.180880258353206,
      0.324401270033624,
      0.0909326704457243,
      0.0574512309753371,
      0.384762050185684,
      0.224213366741047,
      0.174645093589103,
      0.215653035939789,
      0.0386861546293218,
      0.42916927303102,
      0.174895631907373,
      0.10630882721954,
      0,
      0.188882213232654,
      0.454191915814027,
      0.221941219825445,
      0.414981203045766,
      0.199399792423989,
      0.216374053602244,
      0.496445861435816,
      0.254151071547053,
      0.386945148549397,
      0.269844539994121,
      0.264524070773261,
      0.431127198552275,
      0.374985731140515,
      0.237467521566926,
      0.19920215705882,
      0.384891679187323,
      0.351442165148476,
      0.317159304259813,
      0.130880651704165,
      0.13811264067328,
      0.145394853837782,
      0.169440660450373,
      0.322619483848309,
      0.277883563270264,
      0.145477837296143,
      0.208344482613182,
      0.096057226401377,
      0.356473420851853,
      0.190090058419175,
      0.197394517358886,
      0.219532792815869,
      0.192590794112131,
      0.385517253166589,
      0.323003794184725,
      0.170612920969834,
      0.280627694012477,
      0.121904778663264,
      0.419393647477848,
      0.235281276808701,
      0.318078455183888,
      0.339929072844462,
      0.0847917961184159,
      0.377422781399421,
      0.33472055473428,
      0.162689931518423,
      0.260057920828886,
      0.170820728245294,
      0.231407038953212,
      0.268877829461985,
      0.197902272995002,
      0.158576625810411,
      0.177349405534716,
      0.205831397827159,
      0.392305903093604,
      0.152890393341881,
      0.238195237514746,
      0.207372366873704,
      0.313340786119198,
      0.203964794309135,
      0.36797356369162,
      0.320944779095303,
      0.205724697071844,
      0.211256994294897,
      0.190974275836991,
      0.391064486825604,
      0.425469834370611,
      0.326184701209426,
      0.184929899023319,
      0.139670123589835,
      0.454948092462014,
      0.396651065849752,
      0.115539905815539,
      0.241403234667575,
      0.226420042396559,
      0.406322981435909,
      0.297288864374241,
      0.177910428170639,
      0.249186171410175,
      0.100813080190883,
      0.37527930821328,
      0.329205746183895,
      0.0838916439177953,
      0.215281207282974,
      0.043952610535271,
      0.460812831601327,
      0.196042305545363,
      0.0522088508338798,
      0.193509677368792,
      0.0300969965084864,
      0.388758820165037,
      0.509459038518954,
      0.103039380314642,
      0.338789565977542,
      0.051396562581182,
      0.429068587216445,
      0.433984241086674,
      0.110944993956678,
      0.238332714503164,
      0.013313249743248,
      0.372304261841493,
      0.430873285677585,
      0.0883638487779937,
      0.233456790367855,
      0.0738375765771194,
      0.37865826944371,
      0.287413154160867,
      0.320920033526461,
      0.303177884796727,
      0.199943699102654,
      0.335245534391925,
      0.503983154859162,
      0.185296784666521,
      0.351929166914089,
      0.301654773293444,
      0.248124425493355,
      0.510243118155056,
      0.187397990613821,
      0.397653186146518,
      0.342068466748313,
      0.309220880398858,
      0.399902037834102,
      0.302478645815582,
      0.369646412682916,
      0.268733088282896,
      0.240451512258655,
      0.411902108965994,
      0.273193018155769,
      0.230765500716535,
      0.247747736282561,
      0.123521264450519,
      0.376454655203945,
      0.225276539609367,
      0.222907124276319,
      0.180876701403731,
      0.20879120675138,
      0.328599812583542,
      0.234222018932923,
      0.259780718102428,
      0.221453989332754,
      0.340258451468008,
      0.404848920853165,
      0.226274347817649,
      0.295456582583243,
      0.179125908443436,
      0.265234597590821,
      0.378861061999638,
      0.250984843362542,
      0.260763868767857,
      0.203130756465785,
      0.187774060410175,
      0.439135497970992,
      0.253061036100394,
      0.276703603890241,
      0.172617408501102,
      0.14087203982986,
      0.309071490568136,
      0.197341218278712,
      0.190042919973274,
      0.186951980397901,
      0.144396892703668,
      0.41952792539076,
      0.207764451108515,
      0.147106991172175,
      0.207468700531615,
      0.122262817140314,
      0.270220562633064,
      0.311335247011704,
      0.193494175104565,
      0.243596271869835,
      0.157348935986902,
      0.388627801876508,
      0.204526976090675,
      0.250411205291503,
      0.226229690324388,
      0.226401699402408,
      0.360903588947665,
      0.33359062976447,
      0.286899394657178,
      0.264984631375341,
      0.177946602842959,
      0.234728741917784,
      0.339107696806587,
      0.209485289934794,
      0.338748483484256,
      0.381802875595173,
      0.171570350374283,
      0.308994857814303,
      0.385769326906181,
      0.293661901102607,
      0.433057295572105,
      0.381487161818834,
      0.416959872050821,
      0.282596494710985,
      0.139116597831033,
      0.308271376165183,
      0.153035689622833,
      0.395483604123376,
      0.454725921360754,
      0.375137047778332,
      0.398514747333038,
      0.316444264175318,
      0.420214447355046,
      0.490367475600782,
      0.328374532882517,
      0.201657368014434,
      0.25658773925031,
      0.223348901487804,
      0.346301141016628,
      0.291483625464325,
      0.230854493364154,
      0.182223160368392,
      0.105919074512094,
      0.245872716476954,
      0.310663981204359,
      0.288221518215283,
      0.218107143486981,
      0.209376864505986,
      0.158868941624618,
      0.361168451494987,
      0.222629803912971,
      0.217840875410207,
      0.272105291605941,
      0.169996440711955,
      0.35744620450188,
      0.289843026502844,
      0.254617922151654,
      0.20453988798606,
      0.341130992575341,
      0.437683977923348,
      0.449179375994773,
      0.258366485719519,
      0.352050706457643,
      0.334625221019083,
      0.468595942894291,
      0.379145331652257,
      0.218814875026006,
      0.235883356165862,
      0.210420967514008,
      0.130822715017832,
      0.301454551255528,
      0.194185326682616,
      0.268052148058073,
      0.248522209340622,
      0.22458926252866,
      0.379921657574489,
      0.231155771039618,
      0.222341668754918,
      0.282641079124556,
      0.219257607683589,
      0.320884024689946,
      0.24398204035312,
      0.183458743524548,
      0.233729637864946,
      0.251027687860375,
      0.455396214429605,
      0.348861549855217,
      0.434475945291703,
      0.207070163423393,
      0.207430866928941,
      0.388689663843068,
      0.228763404148208,
      0.208430298932052,
      0.288575931971063,
      0.177404471163764,
      0.330065163540922,
      0.286037882486336,
      0.21632304669745,
      0.176127892856883,
      0.260761477100758,
      0.5017195219548,
      0.308290260379296,
      0.216819422623691,
      0.144803089648175,
      0.146201830022252,
      0.144168659251735,
      0.263629015885345,
      0.153705180817345,
      0.158295658279744,
      0.301979567275199,
      0.145262527554131,
      0.395100755192825,
      0.493519857467792,
      0.307552940557676,
      0.440292410008923,
      0.234901668613632,
      0.347232371663736,
      0.371888554287332,
      0.365381359059533,
      0.355983657097026,
      0.375186512733906,
      0.3276214851849,
      0.43970906997181,
      0.425090854385285,
      0.222369322246319,
      0.145649205721581,
      0.432661773937492,
      0.483799124434855,
      0.406199237224287,
      0.350362459314361,
      0.37597982020778,
      0.381034655985315,
      0.412472181276533,
      0.489738210573113,
      0.483041649239279,
      0.418342561499692,
      0.327475164261076,
      0.457896879026731,
      0.334112865731966,
      0.308548602884965,
      0.503720897786799,
      0.329972416660963,
      0.344727126036362,
      0.32367642787668,
      0.235599801583229,
      0.274809002363389,
      0.190000640475768,
      0.273998619251432,
      0.32501459797573,
      0.289818472771237,
      0.245723609835907,
      0.274932195799096,
      0.285639931302439,
      0.368144470941894,
      0.246378814551199,
      0.351660815175647,
      0.314779893893161,
      0.230147973032711,
      0.451157798689265,
      0.357467327225168,
      0.209364108166624,
      0.321544113210397,
      0.2796736449427,
      0.429388459783568,
      0.340966808822375,
      0.287603542174831,
      0.314392703571358,
      0.115948399918255,
      0.373843727955341,
      0.401105009170465,
      0.230312768873161,
      0.230346197274195,
      0.279861587004967,
      0.382122570170019,
      0.294938409307819,
      0.235221295008547,
      0.294539793057001,
      0.222344322729022,
      0.299829334165241,
      0.40217588640059,
      0.216616234956471,
      0.345452110337154,
      0.31388139020392,
      0.188832636239927,
      0.399922193339502,
      0.358286544390386,
      0.31769515724092,
      0.383812152596561,
      0.242725797914577,
      0.37356694180398,
      0.357345947758732,
      0.288669291481887,
      0.36561281733788,
      0.253891279912734,
      0.407704626055109,
      0.351371713946642,
      0.330998080515003,
      0.356360553416621,
      0.208760015658596,
      0.414622537931521,
      0.275304408082298,
      0.194225150495779,
      0.167205866575875,
      0.332457637199339,
      0.259240887120174,
      0.385451351377195,
      0.365866104854644,
      0.356521077082511,
      0.283708125600621,
      0.218184415464687,
      0.374024028609689,
      0.292503781158386,
      0.224007967395285,
      0.255923802443086,
      0.266665093470832,
      0.384376870074258,
      0.334764773055078,
      0.190633326921438,
      0.238805114858143,
      0.199465009240059,
      0.350651650528676,
      0.169675215600713,
      0.129253407321913,
      0.267341726981872,
      0.181232874099628,
      0.143883419089991,
      0.273303520943862,
      0,
      0,
      0.0363609011424451,
      0.0234549396103814,
      0,
      0.231622961216908,
      0.117155473400918,
      0.0387827968395675,
      0.154435563484549,
      0,
      0.383876923036904,
      0.0998480749087801,
      0.0166502451631641,
      0,
      0.179418997744721,
      0,
      0.0680319509162981,
      0.189846498282183,
      0,
      0,
      0.0861995932411854,
      0.032702256400942,
      0.0247015173977826,
      0,
      0.216738373150196,
      0,
      0.404329691793424,
      0.178535198143222,
      0.380073450979126,
      0.101152168347849,
      0.0064939457248285,
      0.273556033866055,
      0.135494252792271,
      0.0386928830116627,
      0.027346292285459,
      0.192681695065873,
      0,
      0.361909010803865,
      0,
      0,
      0,
      0.165873079468066,
      0.0433174250190161,
      0,
      0.204530693985519,
      0,
      0,
      0.451706063429173,
      0,
      0.118139626171434,
      0,
      0.181482354915906,
      0.385676395549463,
      0.176735920308112,
      0.13261591127704,
      0.126581146552507,
      0.151089779428214,
      0.245310465522411,
      0.114276677205933,
      0.266825078047667,
      0.1374262696648,
      0.287048240160699,
      0.246517071800392,
      0.261410671038231,
      0.375232738018407,
      0.301763481009974,
      0.416043636424847,
      0.244242926662825,
      0.1680801616341,
      0.167528180176559,
      0.260630699126416,
      0.312599315155971,
      0.0648416572963622,
      0.215522355879952,
      0.23782416149401,
      0.341118940487897,
      0.121688253831849,
      0.114751182627905,
      0.0954324820249437,
      0.133215616803644,
      0.399925102180904,
      0.141426894172723,
      0.152475847034457,
      0,
      0.244175970905414,
      0.368698378846333,
      0.117926900893032,
      0.317334634714015,
      0.39659628782943,
      0.211730282814128,
      0.453553503882036,
      0.147596335638727,
      0.291908400702152,
      0.00819923147012217,
      0.0544611595491678,
      0.325879908256748,
      0.167664034376852,
      0.120322783614105,
      0.154264966708286,
      0,
      0.385947617240563,
      0.124328250043672,
      0.0725682380104923,
      0,
      0.124646161149292,
      0.411667576546855,
      0.172470025921926,
      0.36046292109491,
      0.131777990558298,
      0.202474648067024,
      0.421603846644603,
      0.223534843590994,
      0.323081737981013,
      0.241759549968272,
      0.218316007580111,
      0.370815988694397,
      0.297287389141787,
      0.209481439835673,
      0.180030265295666,
      0.339404055132884,
      0.321471471400762,
      0.29831101843902,
      0.156423174387735,
      0.110315955820376,
      0.138063466339759,
      0.14704705232551,
      0.292830756487163,
      0.254049261230409,
      0.159238348908014,
      0.17926302946492,
      0.0854169670917541,
      0.307184520465288,
      0.201232440979622,
      0.158870415745827,
      0.19330235609518,
      0.120876440050259,
      0.361363006101798,
      0.298783153932658,
      0.163444995998688,
      0.227788702676235,
      0.0639804798777074,
      0.371993011850141,
      0.263284811294187,
      0.315577105520082,
      0.28192613836149,
      0.07475404487089,
      0.360749783706881,
      0.29311049988732,
      0.221955189961078,
      0.23304416872875,
      0.0966650156351072,
      0.202856491440348,
      0.239907281151529,
      0.189239550424789,
      0.117916622944385,
      0.13153630665348,
      0.154750868110911,
      0.362888621279264,
      0.156226817397449,
      0.202776497118737,
      0.201069997727715,
      0.301339716702497,
      0.216921904030243,
      0.312871735300979,
      0.279788242240529,
      0.152642126554285,
      0.18378804514656,
      0.185628809153868,
      0.321188673462459,
      0.307355139482759,
      0.279162509536403,
      0.127291765094389,
      0.128021037689688,
      0.406832904303971,
      0.342263455484181,
      0.0737256050610636,
      0.195866897371566,
      0.23133264443536,
      0.364603976851383,
      0.285431757263416,
      0.195534114142744,
      0.16292419457011,
      0.0918325105075112,
      0.350428700401588,
      0.292339323591316,
      0.0189134708221841,
      0.221209488953962,
      0,
      0.441939021992503,
      0.137722282017251,
      0.0280005607588757,
      0.1760939987279,
      0.0102553911687957,
      0.38517047057706,
      0.44272750243375,
      0.0707867602373536,
      0.255831340553017,
      0,
      0.399394340358374,
      0.391515085437429,
      0.104355195624923,
      0.211353875689257,
      0,
      0.378218564499776,
      0.392424496444072,
      0.0644298076788236,
      0.177770473179735,
      0.062229284075703,
      0.32853994835923,
      0.231709261502348,
      0.298256398422132,
      0.258618367359011,
      0.183704468668514,
      0.354086897588161,
      0.445648165507068,
      0.143187514743857,
      0.277372272630362,
      0.440677368098427,
      0.235156177312471,
      0.446332724000416,
      0.1519766842606,
      0.343956357631549,
      0.387879950726391,
      0.375050719767174,
      0.338608779796299,
      0.291579171507431,
      0.374722372058879,
      0.215620251269949,
      0.22470794184714,
      0.371288149123556,
      0.244209953091128,
      0.260873588796682,
      0.207352127720448,
      0.106924818702371,
      0.339928272736197,
      0.243166822717746,
      0.248940869760762,
      0.171097628277798,
      0.210007779877507,
      0.29665483874783,
      0.228719357730648,
      0.231165645743817,
      0.18615828919416,
      0.287592489050302,
      0.376942278889243,
      0.231125660928204,
      0.350462272579911,
      0.132737866860171,
      0.444381725814625,
      0.365854589333902,
      0.243233091119164,
      0.262757963814409,
      0.184682955061417,
      0.169757290515429,
      0.369489552619886,
      0.224055781263039,
      0.303176836007746,
      0.143443509598496,
      0.131453113242507,
      0.327418575161073,
      0.206130505190128,
      0.192204352731652,
      0.188149807163751,
      0.108560327933509,
      0.377077374167139,
      0.230082041262672,
      0.160789586787902,
      0.172281219334101,
      0.0835881333350684,
      0.270423371908385,
      0.29650730300057,
      0.176323231944164,
      0.20438046964356,
      0.120979954351906,
      0.335140871803628,
      0.264981273472914,
      0.193217438865136,
      0.171694492412913,
      0.223780286292328,
      0.332460734498038,
      0.297011375605872,
      0.243880549501217,
      0.244342341474311,
      0.131843205443923,
      0.235037163704719,
      0.324833967934942,
      0.170353983096816,
      0.300445901218463,
      0.304050572258087,
      0.130428998142222,
      0.287650461978636,
      0.361428441119716,
      0.277857189267335,
      0.371460927637912,
      0.359830811416178,
      0.350477635627457,
      0.234876716352998,
      0.136259147710276,
      0.246135172798724,
      0.152217118255164,
      0.354389835954753,
      0.414049785255178,
      0.304936462185057,
      0.336813719982588,
      0.255444359707503,
      0.350706659436169,
      0.427444005298952,
      0.312291879076455,
      0.188333331069238,
      0.209230785362895,
      0.221812058242388,
      0.317826365252393,
      0.280509648059015,
      0.227780801643676,
      0.228928934376648,
      0.10161736434525,
      0.223038241924551,
      0.30571445425911,
      0.280596577991879,
      0.178072363982564,
      0.198290120983854,
      0.152148421469148,
      0.341376329611867,
      0.216435974902351,
      0.193165774994568,
      0.19317253877347,
      0.119330635035761,
      0.320104236447166,
      0.240185349048925,
      0.226014788929965,
      0.184486345296271,
      0.278268569536488,
      0.407373994438596,
      0.381896862549978,
      0.233963292470993,
      0.331113896325951,
      0.346311704555961,
      0.409096409342757,
      0.349332153322656,
      0.228032989977188,
      0.204442328013673,
      0.176757307279648,
      0.134166480856455,
      0.331707375301316,
      0.213073813836468,
      0.255529347817009,
      0.214397555044228,
      0.121378250666172,
      0.347537082312323,
      0.217260352345751,
      0.216077268837084,
      0.200193597135276,
      0.177535271637362,
      0.293318459328566,
      0.251822234033864,
      0.178737269950819,
      0.196285074194084,
      0.179469613572387,
      0.387332563282443,
      0.290236035485718,
      0.383332379939222,
      0.206298410999822,
      0.19848484480001,
      0.318984189810493,
      0.282486708837983,
      0.190905209135061,
      0.225201573931266,
      0.137079914658353,
      0.319459843556178,
      0.278278441781492,
      0.23331735914565,
      0.200715212450524,
      0.254904352923755,
      0.449222342466429,
      0.261278089827968,
      0.186773114989744,
      0.109114878279812,
      0.0784159523636504,
      0.0845315244147646,
      0.23996882357436,
      0.106747627708951,
      0.09937918066553,
      0.308189222062953,
      0.0735885558109686,
      0.324813694884868,
      0.426550538635795,
      0.270170039925044,
      0.367867566555445,
      0.19430881346495,
      0.27980247988335,
      0.332352931649027,
      0.318269992567553,
      0.309395157265135,
      0.318163043341479,
      0.306551794095239,
      0.394204427515759,
      0.365505411085915,
      0.184701453368139,
      0.0761111852183821,
      0.385098198445038,
      0.408748213278201,
      0.349159955345758,
      0.298211615069882,
      0.32960302019061,
      0.312545097390237,
      0.363931278389725,
      0.425449586136668,
      0.40486255964516,
      0.418623359490254,
      0.295276244660811,
      0.392094103453812,
      0.262921929703321,
      0.307778195874236,
      0.429620744939163,
      0.308622013252798,
      0.342957571557542,
      0.297087508607341,
      0.225524977638539,
      0.238708486172614,
      0.16187113571279,
      0.2472227471614,
      0.298221910976582,
      0.263197160125503,
      0.211969125740282,
      0.222603682705257,
      0.24455205533405,
      0.346803640136753,
      0.271249187911189,
      0.244920128197059,
      0.307511065686247,
      0.1332777834535,
      0.388554539737969,
      0.308783453531138,
      0.198279959407152,
      0.284675600744719,
      0.236479372167237,
      0.360994004320239,
      0.311800338173334,
      0.236090718661978,
      0.248159917901822,
      0.0645359613777955,
      0.320839302295845,
      0.386480790711282,
      0.198150558241293,
      0.190999102364673,
      0.240847635405448,
      0.351485541196419,
      0.286188145628047,
      0.201783760450415,
      0.28115256040973,
      0.142658156540243,
      0.234094451293034,
      0.37460921623719,
      0.225490942515478,
      0.314007687175811,
      0.246357925817099,
      0.144716424904357,
      0.358859554187203,
      0.32298057626005,
      0.280492041108306,
      0.392626408933032,
      0.141699111740894,
      0.328235786571645,
      0.301656694612131,
      0.176020940517432,
      0.317198720538097,
      0.209493184185965,
      0.364195584413876,
      0.274025454107452,
      0.338761359143432,
      0.282304990463893,
      0.192484581151335,
      0.372664357592858,
      0.317209634227793,
      0.191125985928672,
      0.083501956326092,
      0.318034707068759,
      0.22751534444651,
      0.361123415052392,
      0.303013590150869,
      0.28166238278111,
      0.240161517233561,
      0.229436084083401,
      0.331256593441309,
      0.236988123760314,
      0.161936580891885,
      0.195264055608692,
      0.208102372336328,
      0.35852606839677,
      0.317766434109194,
      0.203844230648033,
      0.217436041721809,
      0.153802683947543,
      0.325870379325038,
      0.12681576366252,
      0.108395275037542,
      0.2357303048848,
      0.214882677764522,
      0.133203168446535,
      0.247317321873182,
      0,
      0,
      0,
      0,
      0,
      0.0892217462856056,
      0,
      0,
      0,
      0,
      0.131693627518418,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0606668993256902,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0785743328298571,
      0,
      0.200762996067822,
      0.0478668894516814,
      0.247490074570159,
      0,
      0,
      0.0564445600712545,
      0,
      0,
      0,
      0,
      0,
      0.164137699631608,
      0,
      0,
      0,
      0.0202165051930979,
      0,
      0,
      0.0431801268907492,
      0,
      0,
      0.238695956097654,
      0,
      0,
      0,
      0,
      0.195083221424696,
      0,
      0.0132295412643826,
      0,
      0,
      0.085139725189464,
      0,
      0.110481047302828,
      0.0161845713367107,
      0.127459669186963,
      0.0725565207826107,
      0.135320276160072,
      0.276473320607717,
      0.113747252849004,
      0.308303671593208,
      0.024722397117074,
      0.0266856754707123,
      0.0583481820065786,
      0.15576479880091,
      0.143732604063854,
      0,
      0.0667911521529676,
      0.101269772040882,
      0.177652355527589,
      0,
      0,
      0,
      0,
      0.239530544905474,
      0,
      0,
      0,
      0,
      0.187090724467234,
      0.0159101731745135,
      0.0935611891544105,
      0.125342326720499,
      0.0533033237985501,
      0.283594324934505,
      0.00294887174827765,
      0.13780261627482,
      0,
      0,
      0.163612780441651,
      0.0140543046741227,
      0,
      0,
      0,
      0.237881768713179,
      0,
      0,
      0,
      0,
      0.207968959539864,
      0.0220917103753684,
      0.144349996992026,
      0,
      0.0341593606414603,
      0.23000632641996,
      0.0880552544635766,
      0.0823228266854236,
      0.16075758213107,
      0.0544851409553972,
      0.190486194344151,
      0.178690701671102,
      0.0675371989236714,
      0.0537638999782163,
      0.172403815614221,
      0.154209394194511,
      0.134875121298682,
      0.0517539015415728,
      0,
      0.00670106472978344,
      0.000407986431114638,
      0.162561717291047,
      0.130595052645662,
      0.0522977591972729,
      0.0389516245775574,
      0,
      0.121228584070407,
      0.0542031480245506,
      0.0588165819062521,
      0.0457872750860353,
      0,
      0.170050977518485,
      0.145662125460356,
      0.0317129964434469,
      0.0905621029507107,
      0,
      0.202557829466142,
      0.19942847275295,
      0.139116991722509,
      0.145426985989894,
      0,
      0.217772644343334,
      0.175519051875249,
      0.0902524306071848,
      0.081906435148504,
      0,
      0.0418122997054117,
      0.0849987560103644,
      0.061391290994035,
      0,
      0.028111063268636,
      0,
      0.227967262013866,
      0.0464038836036663,
      0.0719602752501351,
      0.0829357484997898,
      0.211401534551268,
      0.0791935572920463,
      0.187596031054402,
      0.138255192277749,
      0.0421382923681443,
      0.0529535757550071,
      0.0666133955305837,
      0.180490708232901,
      0.12832938405606,
      0.111377787940911,
      0.0212944137955411,
      0,
      0.288551451147721,
      0.207470969978557,
      0,
      0.07125614561906,
      0.150760387838919,
      0.171022465935751,
      0.144924220140614,
      0,
      0.0296904651037034,
      0,
      0.134976155187852,
      0.162823258388254,
      0,
      0.0893487529053401,
      0,
      0.219989003035166,
      0.0288205142779076,
      0,
      0.0332127396635484,
      0,
      0.213987269072893,
      0.25366065045819,
      0,
      0.126531840014862,
      0,
      0.182294682175336,
      0.232251296697086,
      0,
      0.0391566659487887,
      0,
      0.173135957603658,
      0.185492571104537,
      0,
      0.0306216591470776,
      0,
      0.164044469939055,
      0.0899796530418141,
      0.157086427453527,
      0.118723843974584,
      0.0790257833581798,
      0.129466950337216,
      0.207203526011752,
      0,
      0.122438540512604,
      0.366292690588465,
      0.00111777658126882,
      0.219337226775266,
      0.00420790163693716,
      0.197825330335069,
      0.245820907006305,
      0.183880076439549,
      0.18119739874464,
      0.0684872409479226,
      0.229723879772944,
      0.0913600627930405,
      0.05928583527722,
      0.231638106046789,
      0.0935430365324839,
      0.106560516328947,
      0.0984785103775751,
      0,
      0.178838907983415,
      0.100505464379886,
      0.14078967978827,
      0.0483094661113567,
      0.067525496984131,
      0.145442814258272,
      0.0941482335394475,
      0.11037992216893,
      0.0226628349934615,
      0.1176368494089,
      0.198262574694943,
      0.1036452861718,
      0.10770434953112,
      0,
      0.38794204406862,
      0.211468796012179,
      0.0598319403005691,
      0.0508302853052773,
      0.0189959294161924,
      0.00231695831964588,
      0.207354097294603,
      0.0715393507616495,
      0.255374001509512,
      0.0160941802455978,
      0.0295939492179396,
      0.109847016253131,
      0.045449388828235,
      0.0318385898049335,
      0.0757672385328705,
      0,
      0.248577971616804,
      0.0705655950750183,
      0.0228628125142221,
      0.111209676891046,
      0,
      0.114579262947636,
      0.179484755886991,
      0.0421828772348834,
      0.0741583950863479,
      0,
      0.193223165053606,
      0.147881446140247,
      0.0879452222567244,
      0.0226981762830036,
      0.0426433104384127,
      0.201124313479213,
      0.226286638489782,
      0.16866170214328,
      0.0778928307943303,
      0.00209554435460206,
      0.101752632442277,
      0.172309754868243,
      0.0173809620760106,
      0.119122414352557,
      0.0685232956224297,
      0,
      0.145589836539535,
      0.202101923467731,
      0.144809011501216,
      0.160688719689347,
      0.226222607587882,
      0.214217354228586,
      0.0933769052859326,
      0.00710156477590776,
      0.106638732867387,
      0.0417122732588722,
      0.233016330790132,
      0.233091425184679,
      0.151547498189149,
      0.21964799374078,
      0.0820442861983309,
      0.257652029904833,
      0.314277662570686,
      0.112369423753263,
      0.0848090667649041,
      0.0583194521854664,
      0.0359245075443744,
      0.149600296927643,
      0.138346297614011,
      0.0923860262583211,
      0.0850783080681973,
      0,
      0.068226657687476,
      0.18400432666713,
      0.122306890899956,
      0.00861122976940461,
      0.0451271302661486,
      0.0296525457185763,
      0.187455273967417,
      0.0667364819897984,
      0.064155404390213,
      0.0701027603662435,
      0.00145874887494694,
      0.159461399928859,
      0.131661345803388,
      0.0612979024237196,
      0.0224201683363163,
      0.131367570646081,
      0.167515432599193,
      0.227017609856082,
      0.074685435487713,
      0.160677963413436,
      0.168573694668281,
      0.226397741977673,
      0.197179922049928,
      0.0951784020751024,
      0.0583965799223192,
      0.0369726762863834,
      0.0037749017693696,
      0.133359687977533,
      0.0888299853465556,
      0.160446406612692,
      0.0861204221729707,
      0,
      0.204889023358619,
      0.0510579011888976,
      0.0662370477215116,
      0.047976050881114,
      0.00944255094445224,
      0.132794491397667,
      0.0666873128421741,
      0.0175223672049598,
      0.0590185026036898,
      0.0264941222555369,
      0.239788011071964,
      0.140825075660683,
      0.18199462669407,
      0.0613996686510845,
      0.0466792883177789,
      0.115859839676618,
      0.152204974079048,
      0.0448945751702111,
      0.0660102485265718,
      0,
      0.176210797283045,
      0.0788719334282108,
      0.0774452803863523,
      0.0812938584742286,
      0.126417605829026,
      0.269562348502416,
      0.0593845699672786,
      0.108174373379515,
      0.000356186600768015,
      0,
      0,
      0.0946799657378585,
      0,
      0,
      0.118151398386355,
      0,
      0.142076214411012,
      0.189337364934544,
      0.12309919529192,
      0.150160845241311,
      0.0886144858021542,
      0.0987304035314085,
      0.157406354072637,
      0.15109355197516,
      0.177030261669409,
      0.142394273514618,
      0.161402662614509,
      0.234636201188119,
      0.227798949027607,
      0.0419980535703506,
      0,
      0.255595008906425,
      0.196767323908711,
      0.170587844230747,
      0.139198045890889,
      0.191564193174564,
      0.175357564155842,
      0.215667904233913,
      0.233639634195548,
      0.230257060470561,
      0.295428831529326,
      0.188018817453465,
      0.228588906432112,
      0.141363765399206,
      0.153530561794827,
      0.23223678401989,
      0.163652326375315,
      0.188073809596602,
      0.158119502324357,
      0.0913330201312987,
      0.0768464594833857,
      0.0180716454053099,
      0.114891266648156,
      0.162456000686711,
      0.125229988889867,
      0.0712876697278228,
      0.0842366011261879,
      0.124494282340418,
      0.194532058239102,
      0.117584789950824,
      0.121054121748582,
      0.19736450189815,
      0,
      0.250261236588502,
      0.1701133974291,
      0.0709009363328752,
      0.248948459232251,
      0.152525138477326,
      0.213509117047273,
      0.178395492753471,
      0.132419668195208,
      0.107134588209616,
      0,
      0.184575776644411,
      0.231858124651146,
      0.0757494691470713,
      0.0101249373005311,
      0.117220086094847,
      0.108474328847706,
      0.161785054641844,
      0.0804667929676444,
      0.146668610137568,
      0.0194420610028099,
      0.0928466526082073,
      0.215474171126769,
      0.1066340903223,
      0.174675402642017,
      0.0898038333190652,
      0,
      0.188736009518675,
      0.178883338939973,
      0.145131448521022,
      0.246828374389318,
      0.0147670540458449,
      0.199308033353835,
      0.229669269177359,
      0.0254255330769697,
      0.232270826211354,
      0.0941268358823435,
      0.233489429252072,
      0.208157724114883,
      0.269379891570526,
      0.209573380932913,
      0.0569972459874973,
      0.216599908929833,
      0.105115781722237,
      0.0590191075125348,
      0,
      0.161287836341576,
      0.122301653985654,
      0.287559462982111,
      0.223797107557952,
      0.224784451251359,
      0.213127028179142,
      0.210830300181176,
      0.241466920476172,
      0.189416085796452,
      0.115425819808845,
      0.163791518207062,
      0.19034018184467,
      0.277508288968082,
      0.217404322020916,
      0.0517481830036935,
      0.0397847750389875,
      0.0174544585520243,
      0.155871055511568,
      0.0137554431941839,
      0,
      0.191664156910909,
      0.171481827774285,
      0.0074399954824645,
      0.0795952467062609
    ],
    "fft_spectrum_256": [
      0,
      0.8258,
      0.351,
      0.7684,
      0.3584,
      0.7364,
      0.3047,
      0.6792,
      0.3715,
      0.62,
      0.2695,
      0.5516,
      0.3285,
      0.3764,
      0.2721,
      0.4057,
      0.4155,
      0.3912,
      0.2289,
      0.349,
      0.2256,
      0.3349,
      0.2564,
      0.5965,
      0.522,
      0.3778,
      0.8334,
      0.4066,
      0.7941,
      0.3569,
      0.7502,
      0.5055,
      0.6937,
      0.6041,
      0.5928,
      0.7969,
      0.7547,
      0.5994,
      0.7214,
      0.5213,
      0.718,
      0.7487,
      0.6568,
      0.7371,
      0.6462,
      0.7623,
      0.573,
      0.7182,
      0.55,
      0.7302,
      0.5266,
      0.6181,
      0.4527,
      0.5109,
      0.3501,
      0.8451,
      0.6286,
      0.7339,
      0.4103,
      0.7027,
      0.7271,
      0.8263,
      0.4941,
      0.7786,
      0.5234,
      0.7029,
      0.6185,
      0.6024,
      0.7498,
      0.5347,
      0.7334,
      0.5299,
      0.6842,
      0.8332,
      0.6642,
      0.3813,
      0.5671,
      0.4737,
      0.4284,
      0.4795,
      0.5181,
      0.5634,
      0.4962,
      0.7177,
      0.7827,
      0.6725,
      0.6258,
      0.5435,
      0.7459,
      0.4566,
      0.5225,
      0.7554,
      0.6574,
      0.7993,
      0.5751,
      0.7395,
      0.6221,
      0.7141,
      0.5965,
      0.6994,
      0.3344,
      0.7455,
      0.3682,
      0.5674,
      0.4258,
      0.8344,
      0.6452,
      0.7687,
      0.4261,
      0.6574,
      0.4387,
      0.8028,
      0.5283,
      0.7776,
      0.6695,
      0.6222,
      0.8352,
      0.5278,
      0.7585,
      0.4338,
      0.7426,
      0.6752,
      0.7361,
      0.6481,
      0.6195,
      0.5072,
      0.5915,
      0.5256,
      0.5685,
      0.5798,
      0.792,
      0.7125,
      0.6519,
      0.5388,
      0.8182,
      0.4478,
      0.7897,
      0.6731,
      0.7101,
      0.8356,
      0.6753,
      0.7857,
      0.5528,
      0.4456,
      0.8204,
      0.735,
      0.7875,
      0.5635,
      0.5036,
      0.4078,
      0.5594,
      0.689,
      0.7705,
      0.5087,
      0.4558,
      0.6862,
      0.754,
      0.7627,
      0.5851,
      0.5181,
      0.8133,
      0.551,
      0.781,
      0.5776,
      0.7937,
      0.5031,
      0.7294,
      0.6272,
      0.6939,
      0.4366,
      0.7025,
      0.5019,
      0.6189,
      0.5837,
      0.616,
      0.6347,
      0.8198,
      0.6133,
      0.4973,
      0.7716,
      0.6251,
      0.7056,
      0.7004,
      0.8182,
      0.6162,
      0.584,
      0.5792,
      0.6944,
      0.7329,
      0.8078,
      0.6465,
      0.8029,
      0.5254,
      0.7818,
      0.5049,
      0.6448,
      0.7837,
      0.5997,
      0.5076,
      0.5131,
      0.536,
      0.5161,
      0.8281,
      0.6287,
      0.6037,
      0.4271,
      0.7259,
      0.8164,
      0.6116,
      0.7963,
      0.5368,
      0.7753,
      0.6777,
      0.6272,
      0.84,
      0.6798,
      0.552,
      0.7614,
      0.7632,
      0.6929,
      0.6656,
      0.6608,
      0.6257,
      0.5754,
      0.5569,
      0.611,
      0.5992,
      0.818,
      0.7247,
      0.5431,
      0.803,
      0.7595,
      0.7243,
      0.6937,
      0.6968,
      0.6452,
      0.5857,
      0.6898,
      0.7196,
      0.7465,
      0.6788,
      0.8323,
      0.6344,
      0.7671,
      0.4893,
      0.6378,
      0.5191,
      0.6561,
      0.4834,
      0.6054,
      0.5667,
      0.7114,
      0.6379,
      0.8285,
      0.7127,
      0.5314,
      0.5197,
      0.5232,
      0.6051,
      0.8418,
      0.7665,
      0.7419,
      0.7261,
      0.7198,
      0.6247,
      0.6345,
      0.7905,
      0.5655,
      0.7958,
      0.5397,
      0.8059,
      0.4688,
      0.8081,
      0.3729,
      0.775,
      0.4699,
      0.5596,
      0.519,
      0.5821,
      0.7558,
      0.7055,
      0.5192,
      0.4776,
      0.6955,
      0.6284,
      0.6141,
      0.6731,
      0.407,
      0.5284,
      0.6356,
      0.4328,
      0.5434,
      0.2612,
      0.0451,
      0.3338,
      0.2261,
      0.0417,
      0.0461,
      0.0461,
      0,
      0,
      0.7462,
      0.2951,
      0.7041,
      0.3767,
      0.6614,
      0.2946,
      0.6539,
      0.4053,
      0.5284,
      0.2519,
      0.6828,
      0.3346,
      0.4233,
      0.2631,
      0.4415,
      0.4562,
      0.4038,
      0.3142,
      0.3966,
      0.4651,
      0.3587,
      0.3643,
      0.5245,
      0.7851,
      0.4441,
      0.8669,
      0.4428,
      0.6929,
      0.4449,
      0.7814,
      0.7455,
      0.9046,
      0.8795,
      0.8748,
      0.9308,
      0.9326,
      0.8986,
      0.8537,
      0.6383,
      0.9114,
      0.9342,
      0.8206,
      0.903,
      0.7796,
      0.9482,
      0.6646,
      0.9102,
      0.7351,
      0.8036,
      0.8242,
      0.9132,
      0.6973,
      0.6695,
      0.4626,
      0.9123,
      0.7642,
      0.8134,
      0.5051,
      0.8353,
      0.8894,
      0.8501,
      0.6903,
      0.7323,
      0.7299,
      0.7384,
      0.7972,
      0.7843,
      0.8979,
      0.6998,
      0.8569,
      0.602,
      0.9362,
      0.9621,
      0.7899,
      0.7543,
      0.9044,
      0.9158,
      0.7405,
      0.7522,
      0.677,
      0.904,
      0.6026,
      0.7403,
      0.9263,
      0.812,
      0.6417,
      0.9393,
      0.8569,
      0.7405,
      0.7749,
      0.9165,
      0.7491,
      0.8642,
      0.9343,
      0.8162,
      0.8361,
      0.8948,
      0.7704,
      0.8776,
      0.4895,
      0.9174,
      0.4941,
      0.6083,
      0.4752,
      0.9084,
      0.9311,
      0.9259,
      0.4937,
      0.9055,
      0.7804,
      0.7747,
      0.7688,
      0.7339,
      0.8992,
      0.9031,
      0.9488,
      0.7863,
      0.8452,
      0.5778,
      0.7593,
      0.8344,
      0.8131,
      0.8029,
      0.8398,
      0.824,
      0.9107,
      0.8921,
      0.9008,
      0.8889,
      0.8598,
      0.8538,
      0.8882,
      0.7982,
      0.9421,
      0.6276,
      0.8112,
      0.9092,
      0.784,
      0.8642,
      0.8956,
      0.8304,
      0.8229,
      0.8824,
      0.9412,
      0.8837,
      0.736,
      0.8281,
      0.7906,
      0.8391,
      0.8187,
      0.9589,
      0.9262,
      0.8983,
      0.9056,
      0.8635,
      0.8796,
      0.8007,
      0.8884,
      0.8525,
      0.9332,
      0.8515,
      0.9232,
      0.7785,
      0.7703,
      0.5431,
      0.738,
      0.9158,
      0.861,
      0.8322,
      0.7409,
      0.6122,
      0.7704,
      0.8542,
      0.8421,
      0.8668,
      0.8778,
      0.9056,
      0.4495,
      0.7338,
      0.6652,
      0.929,
      0.911,
      0.9433,
      0.6489,
      0.6499,
      0.7983,
      0.9112,
      0.91,
      0.8297,
      0.6514,
      0.8985,
      0.6105,
      0.8772,
      0.6366,
      0.9233,
      0.968,
      0.7316,
      0.6978,
      0.9054,
      0.9164,
      0.8037,
      0.8049,
      0.7462,
      0.9062,
      0.6285,
      0.7777,
      0.9373,
      0.8205,
      0.7661,
      0.9267,
      0.7132,
      0.8993,
      0.7927,
      0.9099,
      0.8489,
      0.8103,
      0.8623,
      0.7752,
      0.8014,
      0.8612,
      0.8811,
      0.9072,
      0.9209,
      0.8577,
      0.9051,
      0.8608,
      0.9009,
      0.8352,
      0.5673,
      0.8679,
      0.899,
      0.8328,
      0.7839,
      0.7661,
      0.9444,
      0.7864,
      0.881,
      0.7931,
      0.9596,
      0.8371,
      0.9563,
      0.733,
      0.6963,
      0.6877,
      0.9145,
      0.9037,
      0.8218,
      0.8445,
      0.7367,
      0.9017,
      0.7569,
      0.8311,
      0.9165,
      0.8588,
      0.7925,
      0.9111,
      0.7909,
      0.8633,
      0.9177,
      0.8925,
      0.8618,
      0.8509,
      0.8408,
      0.8575,
      0.6782,
      0.7103,
      0.679,
      0.8955,
      0.8267,
      0.938,
      0.6202,
      0.8882,
      0.6943,
      0.7085,
      0.59,
      0.8502,
      0.8382,
      0.806,
      0.9084,
      0.805,
      0.8539,
      0.8548,
      0.8428,
      0.7422,
      0.7389,
      0.6069,
      0.5934,
      0.5691,
      0.7558,
      0.5278,
      0.4894,
      0.5859,
      0.2934,
      0.4895,
      0.3364,
      0,
      0,
      0,
      0,
      0,
      0.7519,
      0.4306,
      0.6175,
      0.3452,
      0.6224,
      0.2994,
      0.5165,
      0.4325,
      0.4979,
      0.2864,
      0.7248,
      0.2897,
      0.3401,
      0.331,
      0.3408,
      0.3306,
      0.3374,
      0.2741,
      0.2935,
      0.5473,
      0.309,
      0.3433,
      0.4746,
      0.8195,
      0.454,
      0.77,
      0.4303,
      0.7224,
      0.361,
      0.7507,
      0.7075,
      0.9102,
      0.9034,
      0.9146,
      0.8719,
      0.9148,
      0.8342,
      0.8755,
      0.7552,
      0.808,
      0.9555,
      0.8146,
      0.9405,
      0.8097,
      0.8256,
      0.6146,
      0.6714,
      0.7441,
      0.8466,
      0.6995,
      0.6791,
      0.7302,
      0.7153,
      0.4922,
      0.8995,
      0.646,
      0.9228,
      0.6493,
      0.8732,
      0.9195,
      0.8382,
      0.8142,
      0.6254,
      0.7713,
      0.8154,
      0.7541,
      0.7358,
      0.9457,
      0.7767,
      0.8733,
      0.6196,
      0.7162,
      0.9166,
      0.7039,
      0.9493,
      0.7387,
      0.7884,
      0.8118,
      0.8253,
      0.8204,
      0.9016,
      0.5934,
      0.6494,
      0.8448,
      0.8709,
      0.7496,
      0.6715,
      0.8825,
      0.7828,
      0.6099,
      0.8694,
      0.7914,
      0.8476,
      0.761,
      0.8903,
      0.8457,
      0.9405,
      0.8011,
      0.7942,
      0.5541,
      0.8861,
      0.476,
      0.575,
      0.5648,
      0.7866,
      0.9053,
      0.7355,
      0.636,
      0.6456,
      0.5736,
      0.8535,
      0.7474,
      0.683,
      0.906,
      0.7146,
      0.9069,
      0.7898,
      0.9039,
      0.4836,
      0.672,
      0.8762,
      0.8389,
      0.8192,
      0.8041,
      0.747,
      0.7818,
      0.7222,
      0.8758,
      0.9171,
      0.8827,
      0.9087,
      0.9177,
      0.716,
      0.8565,
      0.7597,
      0.6763,
      0.8678,
      0.7521,
      0.7552,
      0.9059,
      0.8808,
      0.7919,
      0.6778,
      0.8456,
      0.9149,
      0.7533,
      0.7674,
      0.8004,
      0.6543,
      0.9534,
      0.778,
      0.8331,
      0.6203,
      0.674,
      0.6567,
      0.9286,
      0.8024,
      0.7168,
      0.8775,
      0.9341,
      0.7081,
      0.8966,
      0.9586,
      0.9367,
      0.6902,
      0.7268,
      0.871,
      0.6744,
      0.6129,
      0.7756,
      0.6481,
      0.7479,
      0.807,
      0.7538,
      0.8444,
      0.7919,
      0.8762,
      0.7042,
      0.7844,
      0.8282,
      0.9355,
      0.8839,
      0.9039,
      0.8732,
      0.8781,
      0.8235,
      0.9147,
      0.8897,
      0.8948,
      0.8285,
      0.9389,
      0.5914,
      0.8442,
      0.5818,
      0.724,
      0.9149,
      0.6709,
      0.9169,
      0.7381,
      0.8159,
      0.7613,
      0.7756,
      0.7873,
      0.9041,
      0.6109,
      0.7119,
      0.9053,
      0.8465,
      0.8203,
      0.6474,
      0.907,
      0.8758,
      0.7691,
      0.918,
      0.8182,
      0.746,
      0.7946,
      0.8169,
      0.8102,
      0.621,
      0.62,
      0.7615,
      0.8305,
      0.8723,
      0.8996,
      0.8498,
      0.9026,
      0.8802,
      0.373,
      0.9109,
      0.8898,
      0.7745,
      0.7985,
      0.7519,
      0.678,
      0.8976,
      0.8824,
      0.8157,
      0.8784,
      0.7807,
      0.8338,
      0.7716,
      0.7356,
      0.9247,
      0.7784,
      0.7696,
      0.7072,
      0.5991,
      0.7691,
      0.7934,
      0.819,
      0.8736,
      0.8774,
      0.9475,
      0.7336,
      0.802,
      0.893,
      0.9025,
      0.8246,
      0.914,
      0.9227,
      0.8389,
      0.8834,
      0.8615,
      0.814,
      0.9319,
      0.9175,
      0.9238,
      0.8259,
      0.8862,
      0.606,
      0.767,
      0.9417,
      0.7072,
      0.5798,
      0.8182,
      0.7959,
      0.7691,
      0.9272,
      0.8907,
      0.8522,
      0.7085,
      0.8161,
      0.7596,
      0.7917,
      0.664,
      0.7652,
      0.5231,
      0.6548,
      0.6086,
      0.6572,
      0.5813,
      0.5521,
      0.4776,
      0.4117,
      0,
      0,
      0,
      0,
      0,
      0.6616,
      0.4172,
      0.5855,
      0.3799,
      0.4727,
      0.3277,
      0.4096,
      0.395,
      0.4509,
      0.3019,
      0.6645,
      0.3696,
      0.3633,
      0.3912,
      0.3338,
      0.4354,
      0.3693,
      0.3209,
      0.2967,
      0.5433,
      0.3465,
      0.4113,
      0.2888,
      0.6784,
      0.5532,
      0.6962,
      0.4634,
      0.6453,
      0.3968,
      0.7128,
      0.6957,
      0.6732,
      0.6264,
      0.8276,
      0.8166,
      0.7149,
      0.9281,
      0.5945,
      0.7481,
      0.5943,
      0.6497,
      0.601,
      0.7178,
      0.6573,
      0.679,
      0.6595,
      0.7158,
      0.7019,
      0.6797,
      0.4942,
      0.7526,
      0.7022,
      0.7056,
      0.5351,
      0.7094,
      0.6375,
      0.6302,
      0.6366,
      0.6052,
      0.6806,
      0.7101,
      0.6468,
      0.6591,
      0.646,
      0.8107,
      0.78,
      0.9648,
      0.7072,
      0.5927,
      0.616,
      0.5446,
      0.7452,
      0.7063,
      0.5977,
      0.5771,
      0.5338,
      0.6021,
      0.6816,
      0.6378,
      0.6592,
      0.7075,
      0.6221,
      0.7247,
      0.8025,
      0.6493,
      0.5454,
      0.7508,
      0.6821,
      0.7534,
      0.6827,
      0.7633,
      0.7844,
      0.5772,
      0.7246,
      0.6888,
      0.6495,
      0.6795,
      0.9884,
      0.6555,
      0.5979,
      0.5821,
      0.4364,
      0.6429,
      0.6827,
      0.814,
      0.6614,
      0.6783,
      0.5831,
      0.6168,
      0.6242,
      0.6515,
      0.5647,
      0.6895,
      0.7906,
      0.8081,
      0.7635,
      0.6613,
      0.6746,
      0.4581,
      0.6854,
      0.6345,
      0.7705,
      0.709,
      0.651,
      0.6864,
      0.6601,
      0.7125,
      0.7704,
      0.6788,
      0.6668,
      0.6288,
      0.7771,
      0.7202,
      0.7661,
      0.7977,
      0.6933,
      0.8213,
      0.7838,
      0.7221,
      0.5972,
      0.5928,
      0.5487,
      0.7041,
      0.8204,
      0.6669,
      0.6527,
      0.5237,
      0.6527,
      0.7791,
      0.7495,
      0.6738,
      0.6362,
      0.6813,
      0.6924,
      0.6403,
      0.7696,
      0.7073,
      0.6076,
      0.8432,
      0.8759,
      0.8264,
      0.7973,
      0.6598,
      0.6749,
      0.6791,
      0.5816,
      0.6735,
      0.6832,
      0.5992,
      0.5846,
      0.6185,
      0.7134,
      0.5765,
      0.8671,
      0.7908,
      0.762,
      0.6558,
      0.465,
      0.643,
      0.5791,
      0.8109,
      0.773,
      0.8156,
      0.5126,
      0.498,
      0.7107,
      0.8607,
      0.8178,
      0.6783,
      0.9328,
      0.6648,
      0.5392,
      0.6061,
      0.6274,
      0.6584,
      0.7154,
      0.5724,
      0.6442,
      0.561,
      0.6768,
      0.609,
      0.7058,
      0.6841,
      0.6431,
      0.6427,
      0.7283,
      0.8563,
      0.7263,
      0.6325,
      0.7378,
      0.6578,
      0.8283,
      0.8393,
      0.6948,
      0.6774,
      0.4973,
      0.5486,
      0.5172,
      0.6026,
      0.681,
      0.6044,
      0.5519,
      0.5956,
      0.5066,
      0.7951,
      0.8797,
      0.785,
      0.7113,
      0.3223,
      0.7084,
      0.6938,
      0.5816,
      0.5358,
      0.7115,
      0.7117,
      0.5583,
      0.7771,
      0.7896,
      0.8523,
      0.6959,
      0.7867,
      0.6079,
      0.692,
      0.6652,
      0.6946,
      0.7409,
      0.6027,
      0.6483,
      0.6456,
      0.6084,
      0.8165,
      0.9882,
      0.7837,
      0.6654,
      0.5588,
      0.6566,
      0.7408,
      0.8473,
      0.7861,
      0.6856,
      0.6835,
      0.539,
      0.8087,
      0.9322,
      0.9523,
      0.6724,
      0.7601,
      0.6284,
      0.7223,
      0.8609,
      0.5552,
      0.7373,
      0.702,
      0.6634,
      0.565,
      0.6169,
      0.8032,
      0.6623,
      0.6388,
      0.6201,
      0.6216,
      0.6388,
      0.693,
      0.5971,
      0.5907,
      0.5727,
      0.3346,
      0.5994,
      0.6475,
      0.5766,
      0.3888,
      0.3549,
      0.1429,
      0.3739,
      0.248,
      0,
      0,
      0,
      0,
      0,
      0.5261,
      0.3223,
      0.3624,
      0.285,
      0.3511,
      0.7185,
      0.7207,
      0.3221,
      0.3581,
      0.4201,
      0.5931,
      0.4994,
      0.2312,
      0.3261,
      0.4562,
      0.5395,
      0.1607,
      0.4502,
      0.246,
      0.4456,
      0.2292,
      0.3035,
      0.2786,
      0.6295,
      0.531,
      0.7103,
      0.5788,
      0.6158,
      0.721,
      0.7558,
      0.8114,
      0.6668,
      0.6606,
      0.8017,
      0.9282,
      0.7369,
      0.6544,
      0.6515,
      0.7028,
      0.6633,
      0.6304,
      0.7375,
      0.6667,
      0.7895,
      0.6178,
      0.7128,
      0.7006,
      0.7949,
      0.6644,
      0.7106,
      0.5018,
      0.595,
      0.6324,
      0.649,
      0.7069,
      0.7128,
      0.6665,
      0.5497,
      0.7046,
      0.6532,
      0.6837,
      0.6665,
      0.6697,
      0.5496,
      0.9115,
      0.9427,
      0.645,
      0.6436,
      0.6679,
      0.5324,
      0.6139,
      0.7421,
      0.6855,
      0.7326,
      0.7101,
      0.5365,
      0.5328,
      0.6547,
      0.7169,
      0.6803,
      0.6816,
      0.6717,
      0.7187,
      0.6788,
      0.6645,
      0.7053,
      0.6206,
      0.6899,
      0.7464,
      0.7464,
      0.6841,
      0.8733,
      0.7208,
      0.6559,
      0.717,
      0.6723,
      0.6526,
      0.787,
      0.5513,
      0.583,
      0.5688,
      0.445,
      0.7273,
      0.7258,
      0.6904,
      0.623,
      0.5601,
      0.5655,
      0.6208,
      0.6868,
      0.7123,
      0.6591,
      0.5362,
      0.7054,
      0.8886,
      0.6719,
      0.7469,
      0.7429,
      0.6416,
      0.7079,
      0.7628,
      0.7569,
      0.7715,
      0.698,
      0.7151,
      0.6272,
      0.6671,
      0.9228,
      0.6462,
      0.6289,
      0.6698,
      0.644,
      0.7193,
      0.7058,
      0.688,
      0.7166,
      0.7533,
      0.8658,
      0.6601,
      0.6777,
      0.7291,
      0.5554,
      0.6137,
      0.6532,
      0.6487,
      0.6786,
      0.6442,
      0.6257,
      0.7464,
      0.7339,
      0.7125,
      0.6814,
      0.6367,
      0.6932,
      0.7298,
      0.7335,
      0.7445,
      0.6248,
      0.9194,
      0.7684,
      0.8906,
      0.7289,
      0.7135,
      0.7077,
      0.705,
      0.6217,
      0.6213,
      0.5524,
      0.5733,
      0.5308,
      0.5989,
      0.7533,
      0.6777,
      0.9397,
      0.9066,
      0.6407,
      0.6897,
      0.482,
      0.549,
      0.6516,
      0.6202,
      0.6905,
      0.6943,
      0.6233,
      0.6804,
      0.727,
      0.8372,
      0.8789,
      0.7693,
      0.6721,
      0.5748,
      0.6248,
      0.5517,
      0.6369,
      0.7452,
      0.7126,
      0.7742,
      0.5732,
      0.5129,
      0.6819,
      0.6857,
      0.7197,
      0.7311,
      0.5673,
      0.5308,
      0.7781,
      0.698,
      0.6718,
      0.6198,
      0.6827,
      0.5696,
      0.7226,
      0.9487,
      0.6572,
      0.6015,
      0.752,
      0.6675,
      0.6674,
      0.6549,
      0.5038,
      0.593,
      0.5383,
      0.4788,
      0.6519,
      0.844,
      0.9288,
      0.8817,
      0.6943,
      0.3765,
      0.653,
      0.6468,
      0.7209,
      0.6863,
      0.6161,
      0.5618,
      0.713,
      0.7121,
      0.8808,
      0.6795,
      0.8011,
      0.6809,
      0.7314,
      0.7134,
      0.6597,
      0.7335,
      0.699,
      0.582,
      0.6153,
      0.7011,
      0.5029,
      0.9323,
      0.82,
      0.6946,
      0.7201,
      0.6377,
      0.7009,
      0.6626,
      0.7381,
      0.6568,
      0.7871,
      0.6787,
      0.7817,
      0.9357,
      0.7852,
      0.8181,
      0.6126,
      0.7105,
      0.5886,
      0.6256,
      0.7315,
      0.6133,
      0.4827,
      0.6381,
      0.5721,
      0.5555,
      0.5446,
      0.8863,
      0.6325,
      0.6429,
      0.6587,
      0.5587,
      0.6309,
      0.6031,
      0.5301,
      0.6636,
      0.4403,
      0.5079,
      0.6835,
      0.5754,
      0.5017,
      0.3179,
      0.2595,
      0.2659,
      0.1225,
      0.1228,
      0,
      0,
      0,
      0,
      0,
      0.4003,
      0.3265,
      0.4201,
      0.7402,
      0.3038,
      0.7065,
      0.6432,
      0.601,
      0.5088,
      0.6067,
      0.848,
      0.4675,
      0.4755,
      0.5994,
      0.4734,
      0.594,
      0.328,
      0.86,
      0.4341,
      0.713,
      0.4526,
      0.7983,
      0.1664,
      0.6088,
      0.4817,
      0.4428,
      0.7979,
      0.3883,
      0.6182,
      0.6488,
      0.6469,
      0.5185,
      0.573,
      0.7124,
      0.7107,
      0.5423,
      0.5881,
      0.6305,
      0.6155,
      0.647,
      0.6335,
      0.6436,
      0.6519,
      0.6727,
      0.5791,
      0.7507,
      0.6665,
      0.6897,
      0.6458,
      0.7014,
      0.5639,
      0.4241,
      0.5214,
      0.6726,
      0.6441,
      0.6638,
      0.6038,
      0.6694,
      0.6571,
      0.6653,
      0.6293,
      0.789,
      0.6812,
      0.5668,
      0.7902,
      0.7406,
      0.6824,
      0.6669,
      0.5093,
      0.5464,
      0.7388,
      0.7072,
      0.7449,
      0.7354,
      0.6394,
      0.5661,
      0.6726,
      0.7303,
      0.6566,
      0.651,
      0.6916,
      0.6638,
      0.6458,
      0.7245,
      0.6476,
      0.6678,
      0.6542,
      0.628,
      0.8321,
      0.7506,
      0.7006,
      0.7854,
      0.7067,
      0.6229,
      0.6474,
      0.6259,
      0.6641,
      0.7143,
      0.6601,
      0.6557,
      0.6461,
      0.4531,
      0.7018,
      0.7064,
      0.6363,
      0.6178,
      0.4828,
      0.5837,
      0.4092,
      0.6598,
      0.5901,
      0.6305,
      0.5952,
      0.7503,
      0.8074,
      0.6796,
      0.7417,
      0.677,
      0.6896,
      0.6911,
      0.6669,
      0.6542,
      0.7075,
      0.667,
      0.7277,
      0.6807,
      0.6933,
      0.7413,
      0.5983,
      0.6189,
      0.5304,
      0.6705,
      0.6956,
      0.6892,
      0.6578,
      0.6841,
      0.5768,
      0.7242,
      0.7297,
      0.6113,
      0.603,
      0.5144,
      0.551,
      0.6933,
      0.7315,
      0.681,
      0.6326,
      0.5974,
      0.6923,
      0.6788,
      0.6748,
      0.6913,
      0.607,
      0.6747,
      0.6724,
      0.7,
      0.6246,
      0.7419,
      0.8292,
      0.6995,
      0.7884,
      0.7117,
      0.7322,
      0.7045,
      0.7052,
      0.6101,
      0.6193,
      0.5744,
      0.6194,
      0.6512,
      0.6461,
      0.5308,
      0.6711,
      0.8354,
      0.6827,
      0.5612,
      0.6362,
      0.5497,
      0.7313,
      0.6861,
      0.6812,
      0.6695,
      0.7147,
      0.7169,
      0.7259,
      0.6769,
      0.7486,
      0.7801,
      0.7451,
      0.7561,
      0.6398,
      0.5562,
      0.5458,
      0.5927,
      0.5899,
      0.6775,
      0.6538,
      0.4833,
      0.5664,
      0.669,
      0.816,
      0.7299,
      0.635,
      0.7269,
      0.6614,
      0.7646,
      0.7323,
      0.6579,
      0.6326,
      0.5475,
      0.4575,
      0.7571,
      0.7674,
      0.6781,
      0.6177,
      0.7151,
      0.8026,
      0.5865,
      0.4599,
      0.4636,
      0.5127,
      0.567,
      0.5627,
      0.6807,
      0.676,
      0.7633,
      0.7377,
      0.5997,
      0.3826,
      0.604,
      0.6421,
      0.7201,
      0.6885,
      0.5965,
      0.6513,
      0.6115,
      0.7315,
      0.7711,
      0.6457,
      0.6652,
      0.6495,
      0.6682,
      0.6476,
      0.517,
      0.6355,
      0.5516,
      0.6973,
      0.6842,
      0.6455,
      0.5638,
      0.7773,
      0.6745,
      0.6387,
      0.8093,
      0.7363,
      0.7146,
      0.5985,
      0.807,
      0.5716,
      0.6825,
      0.5974,
      0.6616,
      0.808,
      0.7733,
      0.7316,
      0.4908,
      0.5543,
      0.6237,
      0.7103,
      0.7047,
      0.6026,
      0.4293,
      0.3808,
      0.7408,
      0.5648,
      0.5152,
      0.7911,
      0.5568,
      0.613,
      0.5868,
      0.5985,
      0.5719,
      0.599,
      0.5588,
      0.5421,
      0.3875,
      0.3213,
      0.6215,
      0.4848,
      0.45,
      0.4078,
      0.3265,
      0.3284,
      0.244,
      0.1189,
      0,
      0,
      0,
      0,
      0,
      0.6269,
      0.5604,
      0.4709,
      0.6143,
      0.5642,
      0.5844,
      0.3219,
      0.5479,
      0.8724,
      0.3596,
      0.7565,
      0.4336,
      0.8709,
      0.8126,
      0.4221,
      0.5396,
      0.7807,
      0.7941,
      0.8673,
      0.821,
      0.8467,
      0.4982,
      0.135,
      0.4729,
      0.4966,
      0.3839,
      0.5964,
      0.4721,
      0.4544,
      0.584,
      0.4478,
      0.4135,
      0.516,
      0.6142,
      0.6785,
      0.5174,
      0.6014,
      0.6454,
      0.657,
      0.6456,
      0.6581,
      0.6519,
      0.6915,
      0.7935,
      0.7871,
      0.6452,
      0.7884,
      0.5842,
      0.7522,
      0.6325,
      0.6355,
      0.4582,
      0.3441,
      0.5849,
      0.6943,
      0.817,
      0.6768,
      0.6859,
      0.5843,
      0.8586,
      0.7431,
      0.8409,
      0.5413,
      0.9111,
      0.7764,
      0.7214,
      0.676,
      0.6451,
      0.5675,
      0.544,
      0.696,
      0.6528,
      0.6092,
      0.5921,
      0.5356,
      0.9021,
      0.8348,
      0.8088,
      0.6373,
      0.851,
      0.7563,
      0.6248,
      0.6265,
      0.7857,
      0.8862,
      0.8554,
      0.8759,
      0.8413,
      0.7455,
      0.642,
      0.6311,
      0.7357,
      0.6308,
      0.5588,
      0.7032,
      0.667,
      0.7655,
      0.6809,
      0.712,
      0.7086,
      0.6653,
      0.4206,
      0.6714,
      0.6563,
      0.6177,
      0.6193,
      0.4146,
      0.493,
      0.3886,
      0.626,
      0.6977,
      0.5461,
      0.6309,
      0.7584,
      0.7627,
      0.6749,
      0.6275,
      0.6353,
      0.7153,
      0.6543,
      0.6928,
      0.7677,
      0.6655,
      0.6944,
      0.7097,
      0.7012,
      0.7349,
      0.818,
      0.6048,
      0.636,
      0.6372,
      0.646,
      0.7505,
      0.7373,
      0.7068,
      0.6215,
      0.6892,
      0.7936,
      0.7419,
      0.6884,
      0.7465,
      0.6415,
      0.7263,
      0.5335,
      0.6402,
      0.5858,
      0.5785,
      0.5445,
      0.7213,
      0.697,
      0.5694,
      0.6294,
      0.7007,
      0.7027,
      0.6941,
      0.6673,
      0.6934,
      0.7124,
      0.7514,
      0.7034,
      0.78,
      0.6615,
      0.6831,
      0.6972,
      0.7073,
      0.5419,
      0.5958,
      0.5065,
      0.4664,
      0.7602,
      0.6899,
      0.6651,
      0.6111,
      0.8062,
      0.7563,
      0.4988,
      0.634,
      0.5775,
      0.7167,
      0.6595,
      0.6312,
      0.646,
      0.7445,
      0.8846,
      0.7927,
      0.6373,
      0.7079,
      0.7511,
      0.7344,
      0.6468,
      0.5417,
      0.5151,
      0.4218,
      0.5391,
      0.4992,
      0.5188,
      0.4304,
      0.4887,
      0.8585,
      0.7648,
      0.8148,
      0.7212,
      0.8531,
      0.6921,
      0.6632,
      0.7043,
      0.6282,
      0.8438,
      0.839,
      0.8852,
      0.7984,
      0.8152,
      0.7719,
      0.6602,
      0.7381,
      0.671,
      0.7897,
      0.7361,
      0.7333,
      0.6429,
      0.492,
      0.7442,
      0.7362,
      0.7015,
      0.675,
      0.7368,
      0.7146,
      0.6603,
      0.4083,
      0.8539,
      0.7979,
      0.8016,
      0.6363,
      0.7216,
      0.5346,
      0.5132,
      0.6869,
      0.6716,
      0.6413,
      0.6593,
      0.6212,
      0.5801,
      0.5547,
      0.5886,
      0.7067,
      0.7098,
      0.5781,
      0.6362,
      0.691,
      0.7107,
      0.7931,
      0.7193,
      0.6867,
      0.7468,
      0.7834,
      0.6513,
      0.8092,
      0.7282,
      0.6794,
      0.6787,
      0.7123,
      0.7185,
      0.8095,
      0.6584,
      0.6839,
      0.7059,
      0.5732,
      0.558,
      0.6644,
      0.6369,
      0.5282,
      0.5228,
      0.5703,
      0.7116,
      0.5623,
      0.7353,
      0.7089,
      0.5629,
      0.6526,
      0.6679,
      0.5103,
      0.6547,
      0.5926,
      0.6398,
      0.6778,
      0.6468,
      0.2673,
      0.5264,
      0.3977,
      0.4677,
      0.3853,
      0.3696,
      0.2048,
      0.2261,
      0.1728,
      0,
      0,
      0,
      0,
      0,
      0.7854,
      0.6893,
      0.7994,
      0.6768,
      0.8235,
      0.418,
      0.2641,
      0.3281,
      0.589,
      0.7063,
      0.3931,
      0.6231,
      0.4734,
      0.5279,
      0.8061,
      0.3672,
      0.3308,
      0.4892,
      0.3906,
      0.5761,
      0.4954,
      0.2447,
      0.1184,
      0.4119,
      0.801,
      0.4646,
      0.526,
      0.4687,
      0.3051,
      0.6064,
      0.557,
      0.6627,
      0.6671,
      0.636,
      0.693,
      0.6988,
      0.7017,
      0.7002,
      0.7327,
      0.7736,
      0.7098,
      0.7103,
      0.5613,
      0.788,
      0.647,
      0.5381,
      0.6585,
      0.5147,
      0.6731,
      0.827,
      0.8101,
      0.5505,
      0.5244,
      0.7204,
      0.731,
      0.7212,
      0.638,
      0.5706,
      0.6328,
      0.5727,
      0.803,
      0.663,
      0.8032,
      0.7696,
      0.7629,
      0.682,
      0.6446,
      0.6524,
      0.7273,
      0.7975,
      0.7895,
      0.7844,
      0.6287,
      0.681,
      0.6145,
      0.6836,
      0.7204,
      0.7208,
      0.698,
      0.6765,
      0.7054,
      0.6474,
      0.6,
      0.695,
      0.7248,
      0.6676,
      0.7715,
      0.6769,
      0.6668,
      0.6388,
      0.7509,
      0.7749,
      0.6512,
      0.665,
      0.7334,
      0.6973,
      0.727,
      0.615,
      0.6553,
      0.7127,
      0.6762,
      0.7039,
      0.6255,
      0.4706,
      0.4306,
      0.626,
      0.5872,
      0.4326,
      0.723,
      0.5875,
      0.7341,
      0.7888,
      0.6083,
      0.7001,
      0.7145,
      0.6717,
      0.7153,
      0.706,
      0.5789,
      0.5682,
      0.6445,
      0.648,
      0.6536,
      0.8244,
      0.7954,
      0.7113,
      0.7239,
      0.7169,
      0.6577,
      0.6288,
      0.7277,
      0.6756,
      0.741,
      0.5677,
      0.5085,
      0.6918,
      0.7384,
      0.7382,
      0.7291,
      0.7296,
      0.6548,
      0.7186,
      0.7452,
      0.6443,
      0.6893,
      0.662,
      0.756,
      0.6151,
      0.6907,
      0.756,
      0.7159,
      0.7361,
      0.6748,
      0.6391,
      0.8266,
      0.7037,
      0.6559,
      0.6872,
      0.7024,
      0.7686,
      0.7508,
      0.5998,
      0.68,
      0.7524,
      0.6159,
      0.584,
      0.5704,
      0.5809,
      0.5148,
      0.7019,
      0.6288,
      0.8161,
      0.7449,
      0.7779,
      0.6862,
      0.6227,
      0.6044,
      0.679,
      0.7365,
      0.674,
      0.635,
      0.5885,
      0.6595,
      0.5462,
      0.6888,
      0.7592,
      0.7406,
      0.7667,
      0.7763,
      0.6689,
      0.5863,
      0.6036,
      0.6567,
      0.7256,
      0.8188,
      0.615,
      0.6365,
      0.5464,
      0.7695,
      0.7177,
      0.7786,
      0.7753,
      0.7909,
      0.6804,
      0.7446,
      0.7023,
      0.7538,
      0.7069,
      0.7502,
      0.6291,
      0.5463,
      0.6919,
      0.759,
      0.718,
      0.7419,
      0.6181,
      0.7964,
      0.6583,
      0.7571,
      0.7045,
      0.7638,
      0.7344,
      0.7486,
      0.742,
      0.7745,
      0.718,
      0.7682,
      0.6055,
      0.7383,
      0.717,
      0.7733,
      0.7788,
      0.7514,
      0.6878,
      0.7676,
      0.6442,
      0.5844,
      0.7431,
      0.662,
      0.7131,
      0.6515,
      0.6922,
      0.6289,
      0.6417,
      0.727,
      0.6662,
      0.6981,
      0.757,
      0.7676,
      0.6705,
      0.7534,
      0.6821,
      0.622,
      0.7389,
      0.8656,
      0.7726,
      0.7074,
      0.6871,
      0.622,
      0.6765,
      0.6866,
      0.7466,
      0.7594,
      0.7191,
      0.6122,
      0.6217,
      0.5751,
      0.6048,
      0.6945,
      0.6501,
      0.6676,
      0.6485,
      0.6237,
      0.5327,
      0.5794,
      0.6185,
      0.725,
      0.7063,
      0.7151,
      0.6402,
      0.6835,
      0.6648,
      0.5987,
      0.5866,
      0.6062,
      0.4728,
      0.2836,
      0.5951,
      0.4351,
      0.4369,
      0.4582,
      0.4499,
      0.4288,
      0.288,
      0.067,
      0,
      0,
      0,
      0,
      0,
      0.6916,
      0.3496,
      0.5509,
      0.2495,
      0.5907,
      0.4055,
      0.2184,
      0.3075,
      0.2638,
      0.5724,
      0.4007,
      0.6195,
      0.2479,
      0.3708,
      0.6353,
      0.2333,
      0.2255,
      0.3742,
      0.2556,
      0.4342,
      0.2376,
      0.2138,
      0.0469,
      0.4281,
      0.7563,
      0.6838,
      0.4796,
      0.3867,
      0.5073,
      0.5509,
      0.4988,
      0.5461,
      0.5604,
      0.6209,
      0.6175,
      0.6012,
      0.7883,
      0.5831,
      0.5401,
      0.6101,
      0.6227,
      0.7107,
      0.4866,
      0.6473,
      0.4982,
      0.6007,
      0.4795,
      0.6539,
      0.5849,
      0.8381,
      0.7266,
      0.5548,
      0.4459,
      0.6039,
      0.5522,
      0.4723,
      0.7141,
      0.3939,
      0.5039,
      0.5114,
      0.5749,
      0.6116,
      0.6881,
      0.6016,
      0.7879,
      0.7306,
      0.7189,
      0.6676,
      0.653,
      0.5911,
      0.7097,
      0.5589,
      0.564,
      0.4919,
      0.7503,
      0.5598,
      0.579,
      0.6543,
      0.751,
      0.5909,
      0.4702,
      0.7638,
      0.6081,
      0.6063,
      0.5917,
      0.4768,
      0.5266,
      0.5992,
      0.5477,
      0.6095,
      0.6455,
      0.747,
      0.7426,
      0.4981,
      0.7247,
      0.6235,
      0.6041,
      0.6022,
      0.5301,
      0.5428,
      0.5298,
      0.5105,
      0.4852,
      0.4233,
      0.4461,
      0.5222,
      0.4861,
      0.4338,
      0.5182,
      0.5685,
      0.6409,
      0.4774,
      0.5158,
      0.6639,
      0.692,
      0.5366,
      0.6079,
      0.5067,
      0.7769,
      0.4543,
      0.6229,
      0.6157,
      0.6199,
      0.7152,
      0.7264,
      0.7349,
      0.7366,
      0.6439,
      0.6353,
      0.5837,
      0.7156,
      0.6459,
      0.5298,
      0.7413,
      0.5803,
      0.4905,
      0.6332,
      0.6846,
      0.6839,
      0.6757,
      0.6524,
      0.6994,
      0.7464,
      0.596,
      0.553,
      0.5371,
      0.5476,
      0.6482,
      0.5962,
      0.5849,
      0.5314,
      0.647,
      0.6593,
      0.7216,
      0.7676,
      0.7461,
      0.7586,
      0.7168,
      0.6988,
      0.7639,
      0.6629,
      0.6592,
      0.5912,
      0.597,
      0.7101,
      0.4457,
      0.5888,
      0.8129,
      0.6747,
      0.5305,
      0.7402,
      0.6617,
      0.6496,
      0.7178,
      0.801,
      0.5405,
      0.6494,
      0.6321,
      0.5269,
      0.6612,
      0.5431,
      0.4616,
      0.6681,
      0.6346,
      0.5225,
      0.6223,
      0.7167,
      0.73,
      0.7828,
      0.7318,
      0.5266,
      0.6469,
      0.6535,
      0.7125,
      0.6583,
      0.5751,
      0.5222,
      0.7284,
      0.6627,
      0.6422,
      0.6241,
      0.7539,
      0.7332,
      0.6555,
      0.7423,
      0.6909,
      0.799,
      0.6876,
      0.5984,
      0.4392,
      0.4831,
      0.6261,
      0.7416,
      0.6221,
      0.725,
      0.5961,
      0.6366,
      0.7735,
      0.8045,
      0.655,
      0.8093,
      0.6955,
      0.542,
      0.5589,
      0.6753,
      0.7715,
      0.7491,
      0.591,
      0.6789,
      0.6235,
      0.644,
      0.6647,
      0.6803,
      0.7747,
      0.7531,
      0.741,
      0.577,
      0.7567,
      0.5997,
      0.6824,
      0.5927,
      0.5336,
      0.5055,
      0.6501,
      0.6227,
      0.5827,
      0.6632,
      0.6438,
      0.7392,
      0.7343,
      0.6515,
      0.7218,
      0.7074,
      0.6163,
      0.5988,
      0.7765,
      0.6388,
      0.6134,
      0.5756,
      0.7959,
      0.5767,
      0.6161,
      0.692,
      0.6573,
      0.6727,
      0.7153,
      0.5604,
      0.563,
      0.6618,
      0.6642,
      0.4828,
      0.7138,
      0.7309,
      0.5169,
      0.6881,
      0.5699,
      0.7052,
      0.6798,
      0.6421,
      0.689,
      0.6714,
      0.667,
      0.5975,
      0.5476,
      0.4257,
      0.3873,
      0.4488,
      0.5325,
      0.5839,
      0.435,
      0.4264,
      0.3385,
      0.3157,
      0.2063,
      0.2026,
      0,
      0,
      0,
      0,
      0,
      0.294,
      0.2771,
      0.2155,
      0.2623,
      0.2315,
      0.65,
      0.6003,
      0.2548,
      0.222,
      0.3308,
      0.3917,
      0.4387,
      0.201,
      0.2657,
      0.4284,
      0.3779,
      0.221,
      0.3786,
      0.3337,
      0.3675,
      0.2365,
      0.2322,
      0.1302,
      0.6083,
      0.4219,
      0.5078,
      0.5609,
      0.3353,
      0.6763,
      0.5485,
      0.5599,
      0.5968,
      0.5712,
      0.6819,
      0.6255,
      0.542,
      0.5723,
      0.7251,
      0.7269,
      0.6071,
      0.5174,
      0.6024,
      0.567,
      0.6019,
      0.3936,
      0.5378,
      0.3848,
      0.4324,
      0.82,
      0.7323,
      0.6633,
      0.7117,
      0.7172,
      0.7161,
      0.6707,
      0.5438,
      0.5173,
      0.3448,
      0.5459,
      0.4597,
      0.5516,
      0.4136,
      0.7047,
      0.6523,
      0.714,
      0.6524,
      0.7003,
      0.6979,
      0.6282,
      0.4963,
      0.6381,
      0.4764,
      0.6187,
      0.7774,
      0.5736,
      0.5837,
      0.4393,
      0.6376,
      0.6465,
      0.5041,
      0.4936,
      0.6125,
      0.5298,
      0.5789,
      0.4581,
      0.7594,
      0.5559,
      0.5063,
      0.5167,
      0.6657,
      0.6421,
      0.6192,
      0.6994,
      0.7346,
      0.602,
      0.5594,
      0.6239,
      0.5252,
      0.6711,
      0.6414,
      0.6156,
      0.6308,
      0.443,
      0.4975,
      0.4672,
      0.4084,
      0.3954,
      0.3937,
      0.3306,
      0.7183,
      0.6653,
      0.7185,
      0.5448,
      0.5964,
      0.6792,
      0.5489,
      0.5753,
      0.5799,
      0.4635,
      0.3906,
      0.7014,
      0.6686,
      0.5769,
      0.7429,
      0.7649,
      0.6586,
      0.6935,
      0.7698,
      0.7273,
      0.5902,
      0.6652,
      0.5976,
      0.616,
      0.5718,
      0.7462,
      0.459,
      0.7265,
      0.7039,
      0.7769,
      0.7673,
      0.7451,
      0.6739,
      0.7911,
      0.4867,
      0.7248,
      0.6622,
      0.5399,
      0.5699,
      0.6188,
      0.5794,
      0.4463,
      0.6635,
      0.6485,
      0.6162,
      0.7748,
      0.7806,
      0.626,
      0.7628,
      0.7104,
      0.7172,
      0.6765,
      0.7276,
      0.575,
      0.4334,
      0.6758,
      0.4297,
      0.7145,
      0.7942,
      0.5843,
      0.484,
      0.6002,
      0.6387,
      0.6409,
      0.7656,
      0.6913,
      0.7054,
      0.704,
      0.6768,
      0.5964,
      0.5848,
      0.556,
      0.6908,
      0.5334,
      0.4954,
      0.552,
      0.7204,
      0.6294,
      0.6711,
      0.6394,
      0.7084,
      0.7714,
      0.7033,
      0.675,
      0.464,
      0.5013,
      0.6973,
      0.7337,
      0.6608,
      0.7298,
      0.7245,
      0.7719,
      0.7117,
      0.5873,
      0.7565,
      0.7324,
      0.6964,
      0.6932,
      0.7794,
      0.7319,
      0.5458,
      0.5497,
      0.5015,
      0.7973,
      0.7552,
      0.6784,
      0.78,
      0.7301,
      0.7649,
      0.6932,
      0.7688,
      0.8015,
      0.6625,
      0.5515,
      0.7286,
      0.7802,
      0.6813,
      0.6609,
      0.8117,
      0.484,
      0.6415,
      0.6565,
      0.7805,
      0.75,
      0.5773,
      0.7243,
      0.6893,
      0.6487,
      0.7282,
      0.7277,
      0.6748,
      0.6922,
      0.6602,
      0.7405,
      0.6899,
      0.7752,
      0.7212,
      0.7644,
      0.7711,
      0.5944,
      0.6555,
      0.7845,
      0.7244,
      0.5893,
      0.7017,
      0.5548,
      0.5052,
      0.7082,
      0.6999,
      0.5241,
      0.8819,
      0.7075,
      0.6442,
      0.7689,
      0.6976,
      0.674,
      0.6628,
      0.7405,
      0.7537,
      0.578,
      0.5118,
      0.6048,
      0.6547,
      0.544,
      0.4952,
      0.724,
      0.6524,
      0.7403,
      0.7481,
      0.6952,
      0.5358,
      0.7237,
      0.6449,
      0.4391,
      0.4899,
      0.633,
      0.5452,
      0.3557,
      0.5349,
      0.4452,
      0.3394,
      0.4658,
      0.3457,
      0.3583,
      0.3005,
      0.1243,
      0,
      0,
      0,
      0,
      0,
      0.3008,
      0.2232,
      0.1663,
      0.4885,
      0.2471,
      0.6008,
      0.2563,
      0.3189,
      0.2831,
      0.5891,
      0.3856,
      0.3095,
      0.203,
      0.5188,
      0.4105,
      0.512,
      0.2023,
      0.5908,
      0.2827,
      0.444,
      0.2191,
      0.4001,
      0.2282,
      0.4876,
      0.4451,
      0.4508,
      0.5838,
      0.523,
      0.5516,
      0.5264,
      0.5052,
      0.3845,
      0.4152,
      0.5705,
      0.5527,
      0.4819,
      0.5994,
      0.5451,
      0.5827,
      0.5598,
      0.5608,
      0.5569,
      0.5852,
      0.6056,
      0.5164,
      0.5288,
      0.4355,
      0.4569,
      0.6641,
      0.625,
      0.5036,
      0.6539,
      0.5148,
      0.4783,
      0.5426,
      0.4775,
      0.5162,
      0.3237,
      0.5954,
      0.5905,
      0.6198,
      0.6199,
      0.5151,
      0.5235,
      0.7263,
      0.6936,
      0.6205,
      0.6241,
      0.5545,
      0.4752,
      0.5368,
      0.4073,
      0.6804,
      0.7631,
      0.5007,
      0.5899,
      0.487,
      0.6122,
      0.5833,
      0.5185,
      0.5272,
      0.6745,
      0.5319,
      0.5435,
      0.4867,
      0.6701,
      0.5677,
      0.5755,
      0.4784,
      0.653,
      0.6206,
      0.6305,
      0.5628,
      0.6397,
      0.5553,
      0.5649,
      0.6453,
      0.6028,
      0.5955,
      0.4736,
      0.4987,
      0.7186,
      0.4178,
      0.7821,
      0.4446,
      0.4533,
      0.5442,
      0.3734,
      0.5948,
      0.5925,
      0.6188,
      0.7893,
      0.5117,
      0.5693,
      0.7174,
      0.6384,
      0.5238,
      0.7087,
      0.532,
      0.4509,
      0.7268,
      0.7367,
      0.7722,
      0.6368,
      0.5814,
      0.8144,
      0.7273,
      0.7023,
      0.5446,
      0.6035,
      0.7074,
      0.7699,
      0.4881,
      0.5085,
      0.67,
      0.5359,
      0.5642,
      0.8166,
      0.6268,
      0.6986,
      0.6618,
      0.7169,
      0.695,
      0.5004,
      0.579,
      0.5236,
      0.5657,
      0.5758,
      0.5465,
      0.5507,
      0.6384,
      0.6497,
      0.7884,
      0.7855,
      0.6352,
      0.7074,
      0.7224,
      0.5827,
      0.7022,
      0.6988,
      0.7201,
      0.5453,
      0.5497,
      0.6754,
      0.633,
      0.4961,
      0.5185,
      0.7092,
      0.6887,
      0.6043,
      0.5687,
      0.7735,
      0.6406,
      0.6886,
      0.591,
      0.5441,
      0.6088,
      0.6219,
      0.5207,
      0.6252,
      0.6135,
      0.5905,
      0.5158,
      0.7284,
      0.7213,
      0.6772,
      0.6759,
      0.699,
      0.6115,
      0.6407,
      0.7339,
      0.6306,
      0.5315,
      0.4905,
      0.4724,
      0.7069,
      0.5978,
      0.6966,
      0.7303,
      0.7621,
      0.6912,
      0.637,
      0.7821,
      0.6789,
      0.616,
      0.5896,
      0.4956,
      0.5849,
      0.5964,
      0.5081,
      0.461,
      0.5412,
      0.7674,
      0.611,
      0.7844,
      0.6199,
      0.6166,
      0.7181,
      0.7771,
      0.6732,
      0.7086,
      0.7533,
      0.7891,
      0.5908,
      0.6246,
      0.8524,
      0.7309,
      0.6956,
      0.4514,
      0.751,
      0.7376,
      0.6751,
      0.6633,
      0.7194,
      0.538,
      0.6735,
      0.701,
      0.7735,
      0.7741,
      0.6582,
      0.5813,
      0.5215,
      0.6343,
      0.6412,
      0.7358,
      0.7517,
      0.6454,
      0.7025,
      0.7575,
      0.759,
      0.6817,
      0.6772,
      0.6213,
      0.6769,
      0.5801,
      0.5877,
      0.6779,
      0.6604,
      0.5331,
      0.8006,
      0.729,
      0.7466,
      0.7345,
      0.5832,
      0.7275,
      0.7196,
      0.6755,
      0.5811,
      0.6323,
      0.5768,
      0.5427,
      0.4829,
      0.4811,
      0.4647,
      0.7892,
      0.6438,
      0.76,
      0.612,
      0.5206,
      0.6945,
      0.5564,
      0.5717,
      0.6465,
      0.5,
      0.4827,
      0.5307,
      0.3008,
      0.5538,
      0.391,
      0.5219,
      0.4036,
      0.3508,
      0.2307,
      0.2197,
      0.1377,
      0,
      0,
      0,
      0,
      0,
      0.4342,
      0.4118,
      0.3216,
      0.6995,
      0.2751,
      0.4788,
      0.294,
      0.6053,
      0.3353,
      0.3234,
      0.5899,
      0.2991,
      0.3135,
      0.2953,
      0.6311,
      0.5089,
      0.3511,
      0.6168,
      0.3672,
      0.5614,
      0.3246,
      0.5894,
      0.4136,
      0.4607,
      0.4485,
      0.494,
      0.692,
      0.3942,
      0.3789,
      0.5528,
      0.4264,
      0.52,
      0.7014,
      0.7638,
      0.7423,
      0.8221,
      0.728,
      0.4851,
      0.4193,
      0.5039,
      0.4627,
      0.4743,
      0.5163,
      0.6175,
      0.5632,
      0.5705,
      0.576,
      0.5311,
      0.7097,
      0.69,
      0.4718,
      0.6776,
      0.4803,
      0.5375,
      0.593,
      0.4727,
      0.4713,
      0.2773,
      0.5663,
      0.4602,
      0.6011,
      0.716,
      0.6823,
      0.6177,
      0.7077,
      0.6921,
      0.6417,
      0.6205,
      0.8245,
      0.5032,
      0.737,
      0.6261,
      0.584,
      0.5528,
      0.4669,
      0.576,
      0.62,
      0.7102,
      0.5809,
      0.6901,
      0.744,
      0.6668,
      0.7716,
      0.6449,
      0.5685,
      0.6221,
      0.6114,
      0.6239,
      0.7542,
      0.663,
      0.6229,
      0.6742,
      0.5755,
      0.5595,
      0.7122,
      0.6959,
      0.7728,
      0.7382,
      0.4452,
      0.3954,
      0.5122,
      0.4353,
      0.7533,
      0.5628,
      0.6729,
      0.4996,
      0.4256,
      0.3842,
      0.6437,
      0.5603,
      0.6751,
      0.4682,
      0.5585,
      0.7541,
      0.7322,
      0.5173,
      0.7224,
      0.5919,
      0.4391,
      0.3337,
      0.8276,
      0.6085,
      0.7493,
      0.742,
      0.5528,
      0.7236,
      0.6243,
      0.7384,
      0.8295,
      0.6464,
      0.8147,
      0.5964,
      0.4602,
      0.6843,
      0.4537,
      0.5387,
      0.7733,
      0.7607,
      0.6717,
      0.7169,
      0.5656,
      0.7835,
      0.7896,
      0.7098,
      0.5611,
      0.8006,
      0.5914,
      0.6851,
      0.6857,
      0.6203,
      0.5148,
      0.574,
      0.8042,
      0.7905,
      0.5639,
      0.5895,
      0.5675,
      0.6753,
      0.7111,
      0.7291,
      0.7124,
      0.6114,
      0.5268,
      0.6466,
      0.4894,
      0.7914,
      0.6885,
      0.7551,
      0.6561,
      0.4164,
      0.6566,
      0.5034,
      0.6606,
      0.6774,
      0.6141,
      0.5716,
      0.5064,
      0.5409,
      0.7281,
      0.4349,
      0.4836,
      0.5682,
      0.5468,
      0.4467,
      0.591,
      0.5813,
      0.7208,
      0.6836,
      0.7122,
      0.6763,
      0.6698,
      0.8041,
      0.6011,
      0.7888,
      0.7524,
      0.7159,
      0.7207,
      0.6447,
      0.6173,
      0.5128,
      0.7183,
      0.6658,
      0.6735,
      0.764,
      0.7464,
      0.7321,
      0.7668,
      0.6533,
      0.7286,
      0.5961,
      0.5705,
      0.7538,
      0.8021,
      0.7042,
      0.4849,
      0.8299,
      0.7253,
      0.506,
      0.6729,
      0.7214,
      0.505,
      0.4931,
      0.499,
      0.7961,
      0.7453,
      0.5972,
      0.6436,
      0.7281,
      0.374,
      0.5862,
      0.5923,
      0.7777,
      0.6575,
      0.6426,
      0.5552,
      0.6817,
      0.6136,
      0.7381,
      0.6325,
      0.7418,
      0.6121,
      0.6144,
      0.5305,
      0.7202,
      0.6765,
      0.5072,
      0.6235,
      0.5657,
      0.6953,
      0.5273,
      0.7555,
      0.6823,
      0.7424,
      0.7237,
      0.773,
      0.7333,
      0.616,
      0.7542,
      0.7226,
      0.8179,
      0.6324,
      0.6607,
      0.739,
      0.6203,
      0.6214,
      0.747,
      0.521,
      0.5729,
      0.6977,
      0.5373,
      0.6797,
      0.5014,
      0.4607,
      0.583,
      0.7427,
      0.6132,
      0.7402,
      0.6493,
      0.6277,
      0.537,
      0.4535,
      0.6169,
      0.5941,
      0.4827,
      0.446,
      0.43,
      0.4057,
      0.556,
      0.4084,
      0.4817,
      0.3342,
      0.2108,
      0.3482,
      0.1443,
      0.1114,
      0,
      0,
      0,
      0,
      0,
      0.478,
      0.385,
      0.2905,
      0.523,
      0.3926,
      0.589,
      0.2109,
      0.4452,
      0.5756,
      0.238,
      0.4178,
      0.2846,
      0.6885,
      0.6335,
      0.3428,
      0.6351,
      0.8248,
      0.4709,
      0.5474,
      0.5357,
      0.6486,
      0.453,
      0.2706,
      0.431,
      0.4151,
      0.6732,
      0.5286,
      0.3393,
      0.3925,
      0.5209,
      0.386,
      0.3403,
      0.367,
      0.5899,
      0.6295,
      0.5312,
      0.4587,
      0.6042,
      0.4921,
      0.594,
      0.4842,
      0.6473,
      0.4963,
      0.5346,
      0.4123,
      0.5023,
      0.5199,
      0.7388,
      0.6445,
      0.7197,
      0.5006,
      0.5631,
      0.5002,
      0.6503,
      0.5946,
      0.6191,
      0.3725,
      0.3395,
      0.4839,
      0.542,
      0.4888,
      0.624,
      0.5718,
      0.6137,
      0.6549,
      0.6493,
      0.5532,
      0.5988,
      0.6007,
      0.5284,
      0.5962,
      0.491,
      0.4729,
      0.4191,
      0.4115,
      0.629,
      0.6995,
      0.7493,
      0.6276,
      0.775,
      0.6805,
      0.6211,
      0.7708,
      0.8572,
      0.5677,
      0.7578,
      0.7632,
      0.7887,
      0.5504,
      0.557,
      0.5539,
      0.6119,
      0.6959,
      0.6526,
      0.5794,
      0.5474,
      0.6152,
      0.641,
      0.4491,
      0.5193,
      0.4297,
      0.8021,
      0.4803,
      0.4237,
      0.4426,
      0.3921,
      0.4385,
      0.3983,
      0.411,
      0.7099,
      0.6439,
      0.6202,
      0.605,
      0.6414,
      0.6065,
      0.4887,
      0.5606,
      0.4936,
      0.4957,
      0.442,
      0.6185,
      0.5753,
      0.5899,
      0.7127,
      0.629,
      0.6203,
      0.5208,
      0.672,
      0.5303,
      0.761,
      0.6464,
      0.6229,
      0.5249,
      0.6018,
      0.485,
      0.4732,
      0.6578,
      0.5884,
      0.6393,
      0.6347,
      0.6534,
      0.5378,
      0.4128,
      0.5679,
      0.4878,
      0.5041,
      0.6093,
      0.7426,
      0.4874,
      0.6577,
      0.3687,
      0.4544,
      0.508,
      0.5393,
      0.7143,
      0.6007,
      0.5911,
      0.5657,
      0.6333,
      0.6494,
      0.6482,
      0.6013,
      0.5116,
      0.5417,
      0.5709,
      0.6797,
      0.5819,
      0.5455,
      0.4509,
      0.691,
      0.5101,
      0.6745,
      0.6635,
      0.7351,
      0.6625,
      0.728,
      0.7625,
      0.8148,
      0.5191,
      0.4233,
      0.5808,
      0.5104,
      0.6489,
      0.7247,
      0.7111,
      0.6019,
      0.6744,
      0.6173,
      0.5952,
      0.5262,
      0.5571,
      0.4529,
      0.4618,
      0.4187,
      0.5195,
      0.6059,
      0.4116,
      0.4686,
      0.5075,
      0.4918,
      0.6862,
      0.6484,
      0.6353,
      0.677,
      0.5625,
      0.7986,
      0.5677,
      0.6469,
      0.6646,
      0.6292,
      0.7294,
      0.7478,
      0.707,
      0.7381,
      0.7362,
      0.6021,
      0.5187,
      0.5613,
      0.5308,
      0.6814,
      0.5381,
      0.7709,
      0.7026,
      0.6871,
      0.625,
      0.693,
      0.5921,
      0.563,
      0.4155,
      0.7606,
      0.6452,
      0.7594,
      0.566,
      0.6646,
      0.6064,
      0.7044,
      0.6208,
      0.6631,
      0.5898,
      0.6429,
      0.5484,
      0.6298,
      0.5063,
      0.5439,
      0.6195,
      0.6001,
      0.6417,
      0.4843,
      0.6157,
      0.4546,
      0.6717,
      0.6406,
      0.7255,
      0.7076,
      0.6337,
      0.6763,
      0.7418,
      0.5809,
      0.7192,
      0.6338,
      0.6708,
      0.6388,
      0.6953,
      0.6631,
      0.5865,
      0.8296,
      0.5685,
      0.4162,
      0.5658,
      0.5225,
      0.6498,
      0.4076,
      0.5937,
      0.5242,
      0.5876,
      0.6189,
      0.6942,
      0.5742,
      0.5037,
      0.6027,
      0.5185,
      0.5554,
      0.4817,
      0.7394,
      0.5154,
      0.6052,
      0.53,
      0.4972,
      0.4416,
      0.4095,
      0.349,
      0.15,
      0.1634,
      0.1131,
      0.0009,
      0,
      0,
      0,
      0,
      0,
      0.4984,
      0.2298,
      0.2181,
      0.3069,
      0.5077,
      0.58,
      0.2224,
      0.2895,
      0.752,
      0.2337,
      0.3807,
      0.3393,
      0.6728,
      0.7014,
      0.3116,
      0.6225,
      0.5434,
      0.2455,
      0.4942,
      0.471,
      0.6419,
      0.5162,
      0.2135,
      0.4415,
      0.4385,
      0.6819,
      0.6068,
      0.3731,
      0.6491,
      0.5965,
      0.3841,
      0.3307,
      0.4754,
      0.5552,
      0.6394,
      0.4571,
      0.4971,
      0.5532,
      0.4921,
      0.5487,
      0.4372,
      0.6499,
      0.4807,
      0.7468,
      0.6945,
      0.5124,
      0.732,
      0.7373,
      0.6336,
      0.7069,
      0.4998,
      0.5817,
      0.5926,
      0.6564,
      0.645,
      0.6897,
      0.3207,
      0.296,
      0.4773,
      0.7598,
      0.6041,
      0.6111,
      0.4831,
      0.6147,
      0.6526,
      0.7004,
      0.5547,
      0.5863,
      0.5281,
      0.4449,
      0.5607,
      0.5034,
      0.4651,
      0.4495,
      0.4363,
      0.6271,
      0.6002,
      0.6021,
      0.6566,
      0.6512,
      0.4845,
      0.634,
      0.7794,
      0.8167,
      0.4876,
      0.6503,
      0.7038,
      0.6058,
      0.4444,
      0.5951,
      0.5593,
      0.5977,
      0.6908,
      0.6547,
      0.5681,
      0.5777,
      0.6083,
      0.5397,
      0.4649,
      0.4987,
      0.4602,
      0.7752,
      0.411,
      0.4042,
      0.3868,
      0.4167,
      0.4745,
      0.416,
      0.4616,
      0.7245,
      0.6389,
      0.6158,
      0.5549,
      0.6529,
      0.6596,
      0.5183,
      0.5451,
      0.5479,
      0.4741,
      0.4345,
      0.5935,
      0.6336,
      0.6717,
      0.7122,
      0.6222,
      0.5084,
      0.7921,
      0.7142,
      0.7674,
      0.7138,
      0.6708,
      0.5064,
      0.4368,
      0.5985,
      0.4268,
      0.4559,
      0.5812,
      0.6056,
      0.6547,
      0.6494,
      0.6398,
      0.5049,
      0.4683,
      0.6196,
      0.4566,
      0.5623,
      0.6177,
      0.6657,
      0.4115,
      0.6411,
      0.5564,
      0.7168,
      0.475,
      0.5163,
      0.711,
      0.5681,
      0.5956,
      0.5916,
      0.6781,
      0.623,
      0.7045,
      0.5476,
      0.5246,
      0.5419,
      0.5591,
      0.664,
      0.5274,
      0.531,
      0.5162,
      0.8756,
      0.5121,
      0.6929,
      0.5344,
      0.7369,
      0.6707,
      0.7404,
      0.6762,
      0.7875,
      0.3891,
      0.4491,
      0.5302,
      0.5477,
      0.6937,
      0.7051,
      0.7071,
      0.5593,
      0.6702,
      0.6434,
      0.5684,
      0.514,
      0.5539,
      0.4939,
      0.5475,
      0.4709,
      0.552,
      0.6317,
      0.4885,
      0.3975,
      0.7712,
      0.5249,
      0.5531,
      0.5891,
      0.8112,
      0.5372,
      0.5693,
      0.8029,
      0.5692,
      0.5268,
      0.5346,
      0.7668,
      0.6734,
      0.4459,
      0.7048,
      0.7576,
      0.7242,
      0.6938,
      0.3743,
      0.5403,
      0.4774,
      0.6227,
      0.4992,
      0.7596,
      0.6889,
      0.6632,
      0.5843,
      0.6996,
      0.5521,
      0.5766,
      0.4446,
      0.7486,
      0.7364,
      0.5983,
      0.5632,
      0.6672,
      0.6074,
      0.6442,
      0.6232,
      0.6617,
      0.5841,
      0.6482,
      0.6002,
      0.6743,
      0.453,
      0.4773,
      0.6122,
      0.5695,
      0.6344,
      0.5252,
      0.5945,
      0.4467,
      0.7085,
      0.6004,
      0.7006,
      0.6346,
      0.6747,
      0.6979,
      0.7627,
      0.5634,
      0.7266,
      0.5468,
      0.619,
      0.6078,
      0.7129,
      0.6559,
      0.5365,
      0.633,
      0.6237,
      0.4697,
      0.4781,
      0.4837,
      0.5049,
      0.4729,
      0.6035,
      0.4574,
      0.6162,
      0.6355,
      0.7912,
      0.5614,
      0.5238,
      0.5725,
      0.4721,
      0.4852,
      0.4426,
      0.6178,
      0.5684,
      0.5178,
      0.4727,
      0.5034,
      0.3815,
      0.3859,
      0.3974,
      0.0792,
      0.1254,
      0.0926,
      0,
      0,
      0,
      0,
      0,
      0,
      0.4768,
      0.4634,
      0.5335,
      0.6507,
      0.6948,
      0.6671,
      0.4496,
      0.2525,
      0.4401,
      0.674,
      0.3867,
      0.4906,
      0.2287,
      0.3646,
      0.4319,
      0.2778,
      0.33,
      0.1686,
      0.5329,
      0.5802,
      0.3486,
      0.1638,
      0.0633,
      0.4613,
      0.3276,
      0.2911,
      0.4992,
      0.3792,
      0.7049,
      0.5699,
      0.4073,
      0.3172,
      0.3568,
      0.4615,
      0.5442,
      0.5462,
      0.4534,
      0.6362,
      0.5824,
      0.545,
      0.5241,
      0.4794,
      0.4548,
      0.7798,
      0.3431,
      0.3657,
      0.6385,
      0.4145,
      0.4472,
      0.727,
      0.5932,
      0.4701,
      0.4477,
      0.5376,
      0.6986,
      0.7021,
      0.3788,
      0.2882,
      0.5075,
      0.4209,
      0.6725,
      0.3821,
      0.6252,
      0.5301,
      0.5575,
      0.629,
      0.5783,
      0.5663,
      0.547,
      0.6327,
      0.5286,
      0.6921,
      0.7247,
      0.7011,
      0.6303,
      0.4973,
      0.4726,
      0.5904,
      0.661,
      0.4466,
      0.5023,
      0.522,
      0.5643,
      0.5938,
      0.4887,
      0.6395,
      0.574,
      0.5767,
      0.5202,
      0.5401,
      0.6221,
      0.6661,
      0.6238,
      0.5357,
      0.5522,
      0.6514,
      0.6935,
      0.4418,
      0.4662,
      0.4182,
      0.8155,
      0.4085,
      0.5182,
      0.438,
      0.3759,
      0.4978,
      0.4739,
      0.4608,
      0.5753,
      0.3708,
      0.3834,
      0.5788,
      0.3926,
      0.5645,
      0.6125,
      0.6447,
      0.4856,
      0.6015,
      0.4257,
      0.3703,
      0.573,
      0.6357,
      0.6045,
      0.4312,
      0.4828,
      0.435,
      0.6351,
      0.6149,
      0.5973,
      0.5045,
      0.4512,
      0.582,
      0.6871,
      0.4764,
      0.6586,
      0.5722,
      0.4876,
      0.6035,
      0.6228,
      0.5538,
      0.4415,
      0.4074,
      0.6132,
      0.4955,
      0.5429,
      0.6867,
      0.7021,
      0.6821,
      0.6862,
      0.6832,
      0.5807,
      0.5319,
      0.4271,
      0.4201,
      0.6678,
      0.6627,
      0.6419,
      0.6783,
      0.6693,
      0.7092,
      0.6576,
      0.6107,
      0.5325,
      0.6814,
      0.4464,
      0.5368,
      0.4766,
      0.5722,
      0.6342,
      0.5577,
      0.5075,
      0.5182,
      0.5367,
      0.6804,
      0.6852,
      0.4965,
      0.5155,
      0.6818,
      0.5729,
      0.337,
      0.5385,
      0.5172,
      0.6485,
      0.3987,
      0.4569,
      0.7755,
      0.6241,
      0.6747,
      0.6181,
      0.5795,
      0.5002,
      0.5295,
      0.3941,
      0.676,
      0.5791,
      0.721,
      0.5239,
      0.5466,
      0.5682,
      0.614,
      0.5804,
      0.7292,
      0.562,
      0.5332,
      0.5406,
      0.6056,
      0.5536,
      0.5084,
      0.7569,
      0.5032,
      0.4389,
      0.5319,
      0.6804,
      0.6245,
      0.446,
      0.6511,
      0.5354,
      0.403,
      0.3684,
      0.5076,
      0.5306,
      0.5645,
      0.4962,
      0.5943,
      0.561,
      0.6225,
      0.5523,
      0.5515,
      0.6523,
      0.4256,
      0.5525,
      0.532,
      0.5824,
      0.5239,
      0.5281,
      0.6091,
      0.6114,
      0.6534,
      0.5585,
      0.7485,
      0.633,
      0.7677,
      0.521,
      0.5385,
      0.6412,
      0.517,
      0.5183,
      0.5518,
      0.5238,
      0.3646,
      0.6948,
      0.5576,
      0.4845,
      0.5829,
      0.7658,
      0.6155,
      0.4717,
      0.5418,
      0.5959,
      0.4933,
      0.454,
      0.5734,
      0.6648,
      0.5815,
      0.5206,
      0.7029,
      0.4311,
      0.4402,
      0.5544,
      0.5228,
      0.6912,
      0.4087,
      0.3388,
      0.4347,
      0.5633,
      0.6712,
      0.7725,
      0.741,
      0.6922,
      0.4165,
      0.3891,
      0.5339,
      0.4517,
      0.4104,
      0.5364,
      0.4084,
      0.4106,
      0.4006,
      0.2857,
      0.4939,
      0.2759,
      0.1212,
      0.1568,
      0.0674,
      0,
      0,
      0,
      0,
      0,
      0,
      0.7337,
      0.6537,
      0.6888,
      0.3834,
      0.6754,
      0.5381,
      0.26,
      0.2556,
      0.2477,
      0.7197,
      0.3908,
      0.6427,
      0.2048,
      0.5292,
      0.7475,
      0.1964,
      0.5941,
      0.4766,
      0.3831,
      0.4299,
      0.2062,
      0.1588,
      0,
      0.5483,
      0.7419,
      0.3344,
      0.3445,
      0.1958,
      0.4039,
      0.7085,
      0.6281,
      0.5663,
      0.5946,
      0.5869,
      0.6011,
      0.6188,
      0.5852,
      0.6323,
      0.6657,
      0.8147,
      0.7828,
      0.6565,
      0.4644,
      0.5702,
      0.3736,
      0.3801,
      0.5012,
      0.4171,
      0.6404,
      0.6691,
      0.7064,
      0.6181,
      0.4683,
      0.5421,
      0.6145,
      0.5277,
      0.4775,
      0.2897,
      0.6051,
      0.5785,
      0.6453,
      0.5512,
      0.7739,
      0.6417,
      0.7122,
      0.5066,
      0.532,
      0.743,
      0.7027,
      0.7542,
      0.4728,
      0.7083,
      0.7385,
      0.4436,
      0.4918,
      0.6871,
      0.6663,
      0.6825,
      0.6087,
      0.662,
      0.6789,
      0.5836,
      0.8282,
      0.6925,
      0.7691,
      0.5072,
      0.4776,
      0.6789,
      0.5656,
      0.583,
      0.8319,
      0.733,
      0.6535,
      0.4746,
      0.7939,
      0.7558,
      0.5319,
      0.5015,
      0.7975,
      0.7246,
      0.6167,
      0.7971,
      0.5828,
      0.4272,
      0.3646,
      0.6273,
      0.3986,
      0.3342,
      0.6558,
      0.4024,
      0.446,
      0.2604,
      0.4964,
      0.6093,
      0.6777,
      0.6207,
      0.4972,
      0.4892,
      0.4615,
      0.1898,
      0.625,
      0.7135,
      0.5165,
      0.5881,
      0.4846,
      0.6717,
      0.5609,
      0.6051,
      0.5209,
      0.5397,
      0.6634,
      0.6233,
      0.6369,
      0.4595,
      0.5789,
      0.4159,
      0.5394,
      0.612,
      0.595,
      0.5382,
      0.6222,
      0.5533,
      0.382,
      0.6408,
      0.6804,
      0.5592,
      0.4721,
      0.3489,
      0.5277,
      0.6586,
      0.4519,
      0.6143,
      0.5836,
      0.5866,
      0.5209,
      0.6325,
      0.6437,
      0.5008,
      0.6331,
      0.5633,
      0.77,
      0.676,
      0.7447,
      0.7598,
      0.4773,
      0.8371,
      0.5178,
      0.4862,
      0.4518,
      0.6894,
      0.5942,
      0.6355,
      0.519,
      0.7037,
      0.578,
      0.7771,
      0.7536,
      0.7148,
      0.5062,
      0.5201,
      0.4724,
      0.4915,
      0.6638,
      0.5596,
      0.5789,
      0.8074,
      0.6396,
      0.7053,
      0.6942,
      0.6079,
      0.5223,
      0.7759,
      0.623,
      0.6939,
      0.7198,
      0.7137,
      0.3552,
      0.446,
      0.6928,
      0.6907,
      0.6702,
      0.6004,
      0.5598,
      0.7013,
      0.5603,
      0.6197,
      0.714,
      0.7252,
      0.4583,
      0.4348,
      0.6426,
      0.7022,
      0.6413,
      0.6938,
      0.6959,
      0.5908,
      0.5252,
      0.4046,
      0.6749,
      0.4785,
      0.5495,
      0.7305,
      0.7918,
      0.463,
      0.5931,
      0.6836,
      0.6113,
      0.5514,
      0.9366,
      0.6779,
      0.7,
      0.6282,
      0.5929,
      0.7434,
      0.4922,
      0.5279,
      0.629,
      0.608,
      0.6436,
      0.5818,
      0.6139,
      0.7024,
      0.4364,
      0.6406,
      0.6831,
      0.6203,
      0.8751,
      0.6032,
      0.6404,
      0.6333,
      0.7266,
      0.692,
      0.6826,
      0.6655,
      0.6077,
      0.6494,
      0.6821,
      0.5927,
      0.7617,
      0.5871,
      0.6127,
      0.5853,
      0.6346,
      0.6568,
      0.5692,
      0.6061,
      0.5392,
      0.7195,
      0.6118,
      0.695,
      0.5406,
      0.6334,
      0.6314,
      0.4195,
      0.6251,
      0.9022,
      0.7372,
      0.6903,
      0.7345,
      0.6885,
      0.6104,
      0.4171,
      0.6136,
      0.4356,
      0.6413,
      0.3239,
      0.2457,
      0.4203,
      0.3654,
      0.4843,
      0.3979,
      0.3715,
      0.2378,
      0.1131,
      0.0396,
      0,
      0,
      0,
      0,
      0,
      0.4858,
      0.3029,
      0.4212,
      0.7545,
      0.3313,
      0.5689,
      0.273,
      0.4339,
      0.2589,
      0.5934,
      0.375,
      0.5481,
      0.1223,
      0.4926,
      0.4947,
      0.3437,
      0.3362,
      0.5449,
      0.2345,
      0.3494,
      0.2207,
      0.6002,
      0.0308,
      0.414,
      0.5688,
      0.5308,
      0.4357,
      0.3,
      0.5166,
      0.4062,
      0.3452,
      0.2691,
      0.2695,
      0.4135,
      0.5396,
      0.3924,
      0.4471,
      0.4734,
      0.4411,
      0.6312,
      0.4932,
      0.5782,
      0.4496,
      0.491,
      0.374,
      0.5044,
      0.3499,
      0.4486,
      0.5436,
      0.5048,
      0.5486,
      0.4801,
      0.4265,
      0.4988,
      0.5126,
      0.4627,
      0.5799,
      0.2668,
      0.4194,
      0.3011,
      0.4325,
      0.4147,
      0.5979,
      0.4699,
      0.9144,
      0.7781,
      0.4965,
      0.4811,
      0.553,
      0.4523,
      0.7528,
      0.3879,
      0.5407,
      0.3741,
      0.3716,
      0.5024,
      0.4254,
      0.499,
      0.6341,
      0.5071,
      0.5125,
      0.5203,
      0.5064,
      0.493,
      0.5186,
      0.6003,
      0.5709,
      0.4665,
      0.4901,
      0.5439,
      0.5218,
      0.5817,
      0.8358,
      0.5098,
      0.739,
      0.5167,
      0.5308,
      0.5138,
      0.4869,
      0.5337,
      0.3405,
      0.3773,
      0.2011,
      0.3112,
      0.3164,
      0.4939,
      0.34,
      0.2805,
      0.306,
      0.3713,
      0.3754,
      0.3375,
      0.4744,
      0.5338,
      0.5791,
      0.4171,
      0.434,
      0.3876,
      0.522,
      0.2863,
      0.4245,
      0.5606,
      0.4904,
      0.4739,
      0.563,
      0.4227,
      0.5279,
      0.5644,
      0.5377,
      0.3292,
      0.6213,
      0.5398,
      0.5315,
      0.6162,
      0.5442,
      0.4383,
      0.5239,
      0.5861,
      0.5407,
      0.513,
      0.5746,
      0.4247,
      0.4322,
      0.6355,
      0.4897,
      0.4357,
      0.3309,
      0.4692,
      0.5126,
      0.5063,
      0.3946,
      0.3841,
      0.3882,
      0.5394,
      0.4408,
      0.5185,
      0.5389,
      0.5394,
      0.5997,
      0.6379,
      0.7405,
      0.4898,
      0.4224,
      0.513,
      0.5549,
      0.5378,
      0.4712,
      0.598,
      0.4851,
      0.45,
      0.6778,
      0.406,
      0.5601,
      0.6689,
      0.6236,
      0.4947,
      0.4712,
      0.764,
      0.4315,
      0.6856,
      0.5227,
      0.4736,
      0.5418,
      0.2665,
      0.4848,
      0.5311,
      0.5514,
      0.9237,
      0.7196,
      0.483,
      0.4173,
      0.5729,
      0.4701,
      0.7262,
      0.4528,
      0.5348,
      0.3456,
      0.5193,
      0.4982,
      0.5911,
      0.5006,
      0.6191,
      0.4823,
      0.466,
      0.5197,
      0.4772,
      0.6342,
      0.6906,
      0.4629,
      0.4182,
      0.4414,
      0.5095,
      0.644,
      0.5174,
      0.7386,
      0.4952,
      0.339,
      0.5263,
      0.6507,
      0.5211,
      0.5175,
      0.653,
      0.4931,
      0.5008,
      0.457,
      0.5878,
      0.704,
      0.4429,
      0.7718,
      0.4192,
      0.4781,
      0.4318,
      0.5313,
      0.5723,
      0.7909,
      0.4739,
      0.5002,
      0.6094,
      0.5822,
      0.6547,
      0.5787,
      0.6417,
      0.425,
      0.5015,
      0.6212,
      0.4927,
      0.8761,
      0.4391,
      0.4507,
      0.6385,
      0.8553,
      0.6726,
      0.5216,
      0.5273,
      0.4178,
      0.6339,
      0.4424,
      0.5355,
      0.5655,
      0.5174,
      0.4862,
      0.5221,
      0.5957,
      0.5572,
      0.5488,
      0.5033,
      0.3792,
      0.5318,
      0.4999,
      0.5059,
      0.4904,
      0.7015,
      0.5913,
      0.4173,
      0.7121,
      0.6571,
      0.5838,
      0.4759,
      0.5216,
      0.5997,
      0.4215,
      0.3821,
      0.6696,
      0.4272,
      0.4365,
      0.2463,
      0.1852,
      0.2973,
      0.2245,
      0.5487,
      0.4512,
      0.1971,
      0.0734,
      0.0176,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3553,
      0.2791,
      0.2319,
      0.7954,
      0.2095,
      0.4875,
      0.2127,
      0.5522,
      0.2103,
      0.422,
      0.4054,
      0.2527,
      0.2164,
      0.3933,
      0.4198,
      0.4377,
      0.3093,
      0.423,
      0.2797,
      0.3263,
      0.1763,
      0.5153,
      0.013,
      0.4129,
      0.3259,
      0.5996,
      0.5786,
      0.2461,
      0.5959,
      0.464,
      0.448,
      0.4571,
      0.4725,
      0.4584,
      0.5624,
      0.487,
      0.7483,
      0.5616,
      0.6054,
      0.4915,
      0.4023,
      0.4749,
      0.4309,
      0.5754,
      0.3677,
      0.5154,
      0.4618,
      0.6026,
      0.636,
      0.7207,
      0.414,
      0.4974,
      0.4695,
      0.5342,
      0.4674,
      0.3579,
      0.443,
      0.3454,
      0.441,
      0.3632,
      0.4054,
      0.3024,
      0.5547,
      0.6123,
      0.8187,
      0.8037,
      0.8866,
      0.5237,
      0.7375,
      0.3064,
      0.8056,
      0.4582,
      0.6397,
      0.3168,
      0.6736,
      0.494,
      0.4332,
      0.6655,
      0.7069,
      0.6168,
      0.7586,
      0.8484,
      0.4755,
      0.4548,
      0.5451,
      0.5932,
      0.5759,
      0.3581,
      0.6982,
      0.5436,
      0.6465,
      0.5653,
      0.8317,
      0.5365,
      0.6132,
      0.4846,
      0.7016,
      0.5468,
      0.4165,
      0.446,
      0.3155,
      0.3378,
      0.1935,
      0.3045,
      0.3612,
      0.3174,
      0.3661,
      0.4357,
      0.5067,
      0.6396,
      0.5084,
      0.5635,
      0.5388,
      0.5195,
      0.6716,
      0.4234,
      0.5348,
      0.4028,
      0.7145,
      0.4109,
      0.4834,
      0.4848,
      0.3508,
      0.6371,
      0.8071,
      0.6133,
      0.461,
      0.5932,
      0.545,
      0.5821,
      0.7138,
      0.5281,
      0.4978,
      0.659,
      0.4303,
      0.3682,
      0.7316,
      0.6617,
      0.6547,
      0.5707,
      0.7366,
      0.5179,
      0.5456,
      0.6151,
      0.6658,
      0.5299,
      0.3649,
      0.6621,
      0.5583,
      0.5797,
      0.5165,
      0.676,
      0.3408,
      0.6317,
      0.5996,
      0.5412,
      0.6029,
      0.5583,
      0.6443,
      0.5436,
      0.782,
      0.7002,
      0.5207,
      0.5461,
      0.8769,
      0.5117,
      0.4626,
      0.7766,
      0.6432,
      0.4415,
      0.8743,
      0.4827,
      0.5683,
      0.7248,
      0.681,
      0.5193,
      0.8565,
      0.673,
      0.7374,
      0.9337,
      0.4935,
      0.5518,
      0.4676,
      0.4502,
      0.567,
      0.5607,
      0.6714,
      0.8556,
      0.7801,
      0.6441,
      0.6047,
      0.7764,
      0.5927,
      0.6615,
      0.4185,
      0.5094,
      0.443,
      0.6835,
      0.5209,
      0.6898,
      0.64,
      0.728,
      0.61,
      0.7303,
      0.8215,
      0.5278,
      0.5741,
      0.6228,
      0.4375,
      0.4742,
      0.2694,
      0.5386,
      0.6571,
      0.5165,
      0.4107,
      0.4991,
      0.4076,
      0.4459,
      0.5574,
      0.6707,
      0.6597,
      0.4751,
      0.5053,
      0.6768,
      0.5641,
      0.666,
      0.6199,
      0.454,
      0.3945,
      0.4414,
      0.4815,
      0.6,
      0.71,
      0.6412,
      0.8674,
      0.6786,
      0.5668,
      0.5357,
      0.5802,
      0.8355,
      0.862,
      0.4706,
      0.4847,
      0.7658,
      0.5943,
      0.5407,
      0.6197,
      0.4792,
      0.6051,
      0.8229,
      0.6564,
      0.5311,
      0.5715,
      0.5971,
      0.674,
      0.6601,
      0.4538,
      0.5394,
      0.5498,
      0.6783,
      0.5916,
      0.6809,
      0.6948,
      0.6115,
      0.5769,
      0.5267,
      0.5197,
      0.5614,
      0.4739,
      0.4235,
      0.5578,
      0.8683,
      0.6961,
      0.4674,
      0.7299,
      0.4925,
      0.6496,
      0.6809,
      0.7291,
      0.6122,
      0.5345,
      0.3673,
      0.6005,
      0.4219,
      0.5259,
      0.3094,
      0.5028,
      0.3946,
      0.2901,
      0.5325,
      0.5449,
      0.275,
      0.2964,
      0.0193,
      0.0266,
      0,
      0,
      0,
      0,
      0,
      0.3412,
      0.4131,
      0.2368,
      0.559,
      0.2106,
      0.3969,
      0.2053,
      0.4143,
      0.1923,
      0.285,
      0.3252,
      0.1675,
      0.4252,
      0.3983,
      0.3827,
      0.254,
      0.6478,
      0.2937,
      0.352,
      0.3489,
      0.4378,
      0.1532,
      0.1366,
      0.3956,
      0.2917,
      0.2645,
      0.6115,
      0.3377,
      0.6464,
      0.5252,
      0.3885,
      0.247,
      0.3532,
      0.4765,
      0.5969,
      0.5031,
      0.4385,
      0.6346,
      0.7677,
      0.4772,
      0.3944,
      0.29,
      0.4065,
      0.4993,
      0.3217,
      0.4502,
      0.392,
      0.4623,
      0.5381,
      0.4313,
      0.2797,
      0.391,
      0.7957,
      0.7359,
      0.4799,
      0.3504,
      0.1877,
      0.1938,
      0.4241,
      0.3109,
      0.2997,
      0.2953,
      0.3386,
      0.3952,
      0.6093,
      0.621,
      0.5932,
      0.4065,
      0.4744,
      0.3913,
      0.5264,
      0.6513,
      0.494,
      0.4559,
      0.3858,
      0.5243,
      0.5746,
      0.6788,
      0.582,
      0.6585,
      0.7997,
      0.5481,
      0.4257,
      0.4996,
      0.495,
      0.4993,
      0.4319,
      0.6379,
      0.4319,
      0.5929,
      0.5387,
      0.6108,
      0.5106,
      0.6395,
      0.5485,
      0.5051,
      0.5185,
      0.4844,
      0.4147,
      0.4748,
      0.2636,
      0.3317,
      0.2435,
      0.3709,
      0.3627,
      0.407,
      0.4327,
      0.2548,
      0.2658,
      0.467,
      0.4901,
      0.354,
      0.3945,
      0.4891,
      0.6769,
      0.369,
      0.4571,
      0.5456,
      0.391,
      0.3431,
      0.4848,
      0.4305,
      0.3339,
      0.4397,
      0.4854,
      0.6174,
      0.462,
      0.5365,
      0.5675,
      0.4636,
      0.4724,
      0.4798,
      0.4544,
      0.5067,
      0.3156,
      0.4319,
      0.5348,
      0.6803,
      0.6388,
      0.5128,
      0.4775,
      0.4881,
      0.559,
      0.6698,
      0.3973,
      0.3608,
      0.4261,
      0.4087,
      0.5749,
      0.4588,
      0.4001,
      0.5561,
      0.4169,
      0.4558,
      0.4522,
      0.4566,
      0.4832,
      0.4118,
      0.6586,
      0.5591,
      0.7772,
      0.757,
      0.478,
      0.4667,
      0.5887,
      0.4543,
      0.5111,
      0.5608,
      0.5755,
      0.4975,
      0.5868,
      0.4728,
      0.5021,
      0.7062,
      0.5898,
      0.8352,
      0.8914,
      0.6939,
      0.5725,
      0.4952,
      0.5174,
      0.7993,
      0.4143,
      0.3937,
      0.3537,
      0.4038,
      0.6176,
      0.6434,
      0.5675,
      0.6155,
      0.5132,
      0.5896,
      0.6788,
      0.4848,
      0.501,
      0.5095,
      0.4783,
      0.3197,
      0.494,
      0.6766,
      0.5494,
      0.5145,
      0.3815,
      0.7802,
      0.5775,
      0.4763,
      0.4832,
      0.7123,
      0.4585,
      0.5746,
      0.4613,
      0.4977,
      0.6596,
      0.6092,
      0.291,
      0.5426,
      0.4218,
      0.4171,
      0.328,
      0.725,
      0.5464,
      0.4937,
      0.4952,
      0.4557,
      0.5638,
      0.6567,
      0.5073,
      0.5487,
      0.3547,
      0.4115,
      0.5156,
      0.6254,
      0.5061,
      0.542,
      0.5343,
      0.4544,
      0.4606,
      0.6747,
      0.6115,
      0.8271,
      0.8651,
      0.5955,
      0.5498,
      0.8127,
      0.5675,
      0.5315,
      0.5306,
      0.4173,
      0.7549,
      0.8659,
      0.6575,
      0.5286,
      0.5292,
      0.5967,
      0.4964,
      0.3384,
      0.6187,
      0.4515,
      0.6004,
      0.5437,
      0.6444,
      0.4915,
      0.718,
      0.5482,
      0.6248,
      0.4622,
      0.5565,
      0.4902,
      0.4865,
      0.4425,
      0.6369,
      0.8098,
      0.3285,
      0.3902,
      0.607,
      0.4041,
      0.6549,
      0.4897,
      0.597,
      0.4766,
      0.4525,
      0.4506,
      0.4349,
      0.4256,
      0.488,
      0.5018,
      0.2629,
      0.4406,
      0.2442,
      0.5697,
      0.2899,
      0.1343,
      0.0774,
      0.1107,
      0,
      0,
      0,
      0,
      0,
      0,
      0.4848,
      0.3654,
      0.2293,
      0.3703,
      0.4375,
      0.584,
      0.325,
      0.3273,
      0.6464,
      0.2551,
      0.3027,
      0.2729,
      0.634,
      0.6899,
      0.5037,
      0.3949,
      0.5935,
      0.1466,
      0.5993,
      0.3967,
      0.5893,
      0.2326,
      0.5905,
      0.3924,
      0.3326,
      0.2926,
      0.4433,
      0.2961,
      0.6267,
      0.5746,
      0.4281,
      0.4466,
      0.5421,
      0.6559,
      0.619,
      0.688,
      0.6302,
      0.8835,
      0.8961,
      0.3729,
      0.3015,
      0.2435,
      0.418,
      0.5207,
      0.6314,
      0.3899,
      0.6158,
      0.4521,
      0.6195,
      0.4404,
      0.3624,
      0.395,
      0.8804,
      0.8564,
      0.601,
      0.5484,
      0.2591,
      0.1635,
      0.385,
      0.607,
      0.3902,
      0.4792,
      0.4335,
      0.5472,
      0.5369,
      0.6322,
      0.5903,
      0.5674,
      0.5278,
      0.3287,
      0.3994,
      0.5655,
      0.5922,
      0.4369,
      0.4627,
      0.5143,
      0.64,
      0.5923,
      0.5637,
      0.7216,
      0.6402,
      0.4504,
      0.4653,
      0.6564,
      0.3946,
      0.6782,
      0.6978,
      0.5927,
      0.4262,
      0.5265,
      0.5768,
      0.4837,
      0.6266,
      0.7394,
      0.5859,
      0.4287,
      0.6944,
      0.5784,
      0.5724,
      0.3568,
      0.2957,
      0.3505,
      0.3516,
      0.412,
      0.3086,
      0.3937,
      0.3492,
      0.2692,
      0.2827,
      0.5312,
      0.7152,
      0.5433,
      0.4324,
      0.6207,
      0.691,
      0.5285,
      0.4704,
      0.5247,
      0.4253,
      0.3396,
      0.497,
      0.6448,
      0.4882,
      0.5335,
      0.5433,
      0.6079,
      0.5213,
      0.5555,
      0.4561,
      0.5638,
      0.6903,
      0.4936,
      0.6298,
      0.4757,
      0.6766,
      0.5097,
      0.6711,
      0.5327,
      0.6444,
      0.5,
      0.5272,
      0.7821,
      0.688,
      0.5538,
      0.4083,
      0.5833,
      0.2888,
      0.5543,
      0.495,
      0.7124,
      0.5101,
      0.5399,
      0.5476,
      0.5496,
      0.5982,
      0.5394,
      0.522,
      0.5692,
      0.5539,
      0.705,
      0.7431,
      0.7235,
      0.5346,
      0.6095,
      0.4656,
      0.4661,
      0.4898,
      0.3634,
      0.7212,
      0.655,
      0.5923,
      0.6621,
      0.6791,
      0.6178,
      0.5848,
      0.9163,
      0.7634,
      0.7213,
      0.7181,
      0.4094,
      0.4843,
      0.8789,
      0.4292,
      0.5875,
      0.4516,
      0.4933,
      0.5993,
      0.6362,
      0.6341,
      0.8634,
      0.7325,
      0.6142,
      0.7176,
      0.4125,
      0.6393,
      0.6459,
      0.3918,
      0.5456,
      0.5368,
      0.6543,
      0.5626,
      0.6148,
      0.6871,
      0.6615,
      0.5203,
      0.6756,
      0.5931,
      0.6894,
      0.6885,
      0.6166,
      0.6396,
      0.4068,
      0.6467,
      0.6022,
      0.3781,
      0.6213,
      0.6987,
      0.5171,
      0.3701,
      0.7674,
      0.5673,
      0.3696,
      0.4262,
      0.6625,
      0.4972,
      0.5845,
      0.6784,
      0.5719,
      0.3801,
      0.4193,
      0.6016,
      0.6213,
      0.7981,
      0.6431,
      0.5848,
      0.4525,
      0.6901,
      0.9019,
      0.6702,
      0.7493,
      0.5931,
      0.631,
      0.7763,
      0.5459,
      0.7131,
      0.8431,
      0.5544,
      0.5805,
      0.8985,
      0.5953,
      0.6522,
      0.6722,
      0.6046,
      0.5796,
      0.6243,
      0.4591,
      0.7665,
      0.5181,
      0.5372,
      0.6651,
      0.7899,
      0.7097,
      0.6269,
      0.5665,
      0.7303,
      0.4462,
      0.8494,
      0.7373,
      0.4935,
      0.4689,
      0.5988,
      0.7016,
      0.45,
      0.444,
      0.5114,
      0.5227,
      0.6326,
      0.6078,
      0.4996,
      0.3949,
      0.3383,
      0.5089,
      0.4942,
      0.5458,
      0.5436,
      0.5947,
      0.2783,
      0.3964,
      0.2247,
      0.4449,
      0.3202,
      0.1831,
      0.1171,
      0.1845,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2867,
      0.2651,
      0.3044,
      0.3881,
      0.5933,
      0.3383,
      0.0814,
      0.2236,
      0.619,
      0.5403,
      0.3624,
      0.1922,
      0.2051,
      0.5169,
      0.5805,
      0.5602,
      0.3447,
      0.1711,
      0.3596,
      0.2495,
      0.5023,
      0.1069,
      0.2887,
      0.4015,
      0.3572,
      0.2884,
      0.2839,
      0.699,
      0.5997,
      0.4082,
      0.3252,
      0.2567,
      0.306,
      0.5121,
      0.5545,
      0.3511,
      0.5,
      0.5755,
      0.5087,
      0.3232,
      0.3815,
      0.3458,
      0.4663,
      0.5957,
      0.6075,
      0.415,
      0.6757,
      0.4248,
      0.5826,
      0.3718,
      0.3391,
      0.3794,
      0.4369,
      0.503,
      0.3969,
      0.6129,
      0.2286,
      0.1799,
      0.4947,
      0.5887,
      0.5635,
      0.5366,
      0.2509,
      0.5184,
      0.614,
      0.5623,
      0.5566,
      0.5074,
      0.5073,
      0.344,
      0.4031,
      0.4864,
      0.5087,
      0.3476,
      0.2672,
      0.4809,
      0.4414,
      0.4787,
      0.4053,
      0.6216,
      0.6515,
      0.5349,
      0.4175,
      0.4876,
      0.3766,
      0.4811,
      0.4225,
      0.43,
      0.41,
      0.5821,
      0.5225,
      0.5303,
      0.5204,
      0.4495,
      0.6402,
      0.4875,
      0.4435,
      0.5041,
      0.5725,
      0.4631,
      0.2297,
      0.3717,
      0.3382,
      0.7408,
      0.3219,
      0.2797,
      0.3344,
      0.2231,
      0.3236,
      0.3869,
      0.44,
      0.8022,
      0.3091,
      0.5337,
      0.6884,
      0.6678,
      0.488,
      0.7505,
      0.4532,
      0.2764,
      0.4727,
      0.4601,
      0.5574,
      0.5743,
      0.3582,
      0.6154,
      0.585,
      0.5489,
      0.6901,
      0.3456,
      0.675,
      0.7929,
      0.4612,
      0.4461,
      0.52,
      0.4162,
      0.4976,
      0.6496,
      0.5621,
      0.7306,
      0.497,
      0.5335,
      0.6946,
      0.5627,
      0.3766,
      0.3752,
      0.3541,
      0.5645,
      0.4726,
      0.421,
      0.3625,
      0.616,
      0.6861,
      0.5904,
      0.4319,
      0.4131,
      0.5811,
      0.4872,
      0.6032,
      0.4589,
      0.6132,
      0.4576,
      0.4578,
      0.5952,
      0.6067,
      0.428,
      0.4671,
      0.3632,
      0.9448,
      0.5827,
      0.5121,
      0.7116,
      0.4879,
      0.6681,
      0.585,
      0.5733,
      0.4854,
      0.6506,
      0.4889,
      0.6068,
      0.5115,
      0.5081,
      0.5976,
      0.6021,
      0.573,
      0.4404,
      0.4966,
      0.6173,
      0.6082,
      0.6754,
      0.6135,
      0.465,
      0.5791,
      0.3756,
      0.3695,
      0.533,
      0.2768,
      0.4187,
      0.6895,
      0.6334,
      0.5128,
      0.4466,
      0.5362,
      0.5551,
      0.5342,
      0.4806,
      0.5223,
      0.4972,
      0.6336,
      0.4921,
      0.4963,
      0.4493,
      0.6535,
      0.5383,
      0.5611,
      0.4986,
      0.5538,
      0.4758,
      0.5276,
      0.5285,
      0.6611,
      0.5047,
      0.4963,
      0.4941,
      0.5076,
      0.5398,
      0.6073,
      0.3865,
      0.4135,
      0.5569,
      0.7072,
      0.3712,
      0.52,
      0.5807,
      0.4954,
      0.5483,
      0.807,
      0.5851,
      0.8078,
      0.7685,
      0.4994,
      0.5242,
      0.4817,
      0.4559,
      0.5397,
      0.5982,
      0.5096,
      0.3571,
      0.7462,
      0.4745,
      0.639,
      0.6448,
      0.4496,
      0.5884,
      0.4565,
      0.4772,
      0.4872,
      0.515,
      0.5313,
      0.5247,
      0.7244,
      0.8554,
      0.6664,
      0.6361,
      0.572,
      0.5871,
      0.6598,
      0.3333,
      0.4253,
      0.4282,
      0.4779,
      0.4402,
      0.2652,
      0.4017,
      0.4096,
      0.5615,
      0.6371,
      0.4767,
      0.3627,
      0.539,
      0.448,
      0.5204,
      0.4357,
      0.3578,
      0.4061,
      0.4322,
      0.2506,
      0.4242,
      0.2275,
      0.4149,
      0.2472,
      0.1701,
      0.076,
      0.2088,
      0.1401,
      0,
      0,
      0,
      0,
      0,
      0.3814,
      0.2929,
      0.4255,
      0.6757,
      0.7097,
      0.3712,
      0.0276,
      0.2903,
      0.2577,
      0.4961,
      0.3866,
      0.086,
      0.1359,
      0.3949,
      0.3332,
      0.2335,
      0.2509,
      0.2218,
      0.3163,
      0.269,
      0.1185,
      0.1319,
      0.0961,
      0.4382,
      0.3571,
      0.6106,
      0.4143,
      0.3193,
      0.4554,
      0.344,
      0.3887,
      0.2933,
      0.3215,
      0.5438,
      0.564,
      0.4125,
      0.4264,
      0.5055,
      0.4089,
      0.335,
      0.4283,
      0.3406,
      0.4342,
      0.6574,
      0.4196,
      0.4894,
      0.5846,
      0.5077,
      0.3698,
      0.7069,
      0.4342,
      0.3859,
      0.3192,
      0.5091,
      0.4393,
      0.5135,
      0.3032,
      0.1765,
      0.3598,
      0.3137,
      0.736,
      0.2279,
      0.4314,
      0.4122,
      0.5488,
      0.4533,
      0.4545,
      0.4881,
      0.51,
      0.5922,
      0.566,
      0.5581,
      0.4063,
      0.3926,
      0.3291,
      0.3308,
      0.3779,
      0.5485,
      0.4315,
      0.4112,
      0.4573,
      0.4768,
      0.4268,
      0.4631,
      0.3976,
      0.5157,
      0.6393,
      0.3634,
      0.4058,
      0.5449,
      0.6086,
      0.5362,
      0.6322,
      0.456,
      0.4989,
      0.652,
      0.5396,
      0.5082,
      0.3311,
      0.3414,
      0.2213,
      0.2339,
      0.3007,
      0.4523,
      0.3925,
      0.4614,
      0.3724,
      0.3007,
      0.4129,
      0.4113,
      0.4756,
      0.6444,
      0.3415,
      0.5634,
      0.5681,
      0.4506,
      0.4909,
      0.4828,
      0.4293,
      0.2107,
      0.5361,
      0.4232,
      0.4834,
      0.4394,
      0.3408,
      0.5682,
      0.3923,
      0.532,
      0.4572,
      0.5015,
      0.4497,
      0.5347,
      0.4689,
      0.483,
      0.3271,
      0.4057,
      0.5028,
      0.6223,
      0.6075,
      0.6489,
      0.33,
      0.4813,
      0.6722,
      0.4386,
      0.2583,
      0.4943,
      0.4514,
      0.7078,
      0.4951,
      0.3768,
      0.348,
      0.3877,
      0.4758,
      0.3934,
      0.6347,
      0.4409,
      0.5396,
      0.4262,
      0.5575,
      0.5549,
      0.6305,
      0.5115,
      0.5166,
      0.4743,
      0.3905,
      0.3567,
      0.4447,
      0.3546,
      0.431,
      0.3274,
      0.4278,
      0.4286,
      0.5479,
      0.5938,
      0.5956,
      0.4864,
      0.4924,
      0.6016,
      0.578,
      0.5868,
      0.4944,
      0.4965,
      0.5403,
      0.4231,
      0.3503,
      0.5817,
      0.5636,
      0.614,
      0.4573,
      0.5854,
      0.3721,
      0.4271,
      0.3696,
      0.6922,
      0.4724,
      0.4141,
      0.3893,
      0.3762,
      0.331,
      0.7287,
      0.5334,
      0.4949,
      0.336,
      0.5929,
      0.4857,
      0.4901,
      0.554,
      0.4334,
      0.5296,
      0.4183,
      0.404,
      0.5073,
      0.5503,
      0.5681,
      0.3239,
      0.423,
      0.4209,
      0.3479,
      0.3175,
      0.4826,
      0.5759,
      0.4001,
      0.3285,
      0.4541,
      0.4791,
      0.5804,
      0.5596,
      0.4647,
      0.3087,
      0.323,
      0.3847,
      0.374,
      0.4546,
      0.5166,
      0.5239,
      0.4692,
      0.5693,
      0.6313,
      0.5529,
      0.7922,
      0.5246,
      0.5463,
      0.4077,
      0.4741,
      0.5604,
      0.4944,
      0.4599,
      0.4215,
      0.5712,
      0.4559,
      0.5691,
      0.5883,
      0.5644,
      0.3933,
      0.5413,
      0.5051,
      0.4597,
      0.4498,
      0.4936,
      0.4609,
      0.6949,
      0.8772,
      0.5781,
      0.5156,
      0.5315,
      0.5534,
      0.3975,
      0.3991,
      0.4981,
      0.482,
      0.5822,
      0.439,
      0.3758,
      0.3728,
      0.4963,
      0.4864,
      0.6221,
      0.5664,
      0.3739,
      0.465,
      0.3489,
      0.5136,
      0.4024,
      0.3899,
      0.4805,
      0.4001,
      0.4153,
      0.4055,
      0.383,
      0.4298,
      0.1082,
      0.0266,
      0.1619,
      0.0667,
      0,
      0,
      0,
      0,
      0,
      0,
      0.5023,
      0.6896,
      0.774,
      0.7311,
      0.6482,
      0.3855,
      0.1109,
      0.4977,
      0.166,
      0.7077,
      0.4141,
      0.3343,
      0.1367,
      0.5603,
      0.7161,
      0.2292,
      0.404,
      0.3908,
      0.3813,
      0.398,
      0.2571,
      0.4469,
      0.0018,
      0.4385,
      0.5646,
      0.4295,
      0.5335,
      0.2437,
      0.5221,
      0.5005,
      0.3798,
      0.3001,
      0.3298,
      0.5557,
      0.5518,
      0.6979,
      0.4455,
      0.5424,
      0.4724,
      0.7531,
      0.6305,
      0.521,
      0.4172,
      0.6487,
      0.4799,
      0.4232,
      0.4509,
      0.4941,
      0.4149,
      0.5545,
      0.575,
      0.5434,
      0.3274,
      0.5661,
      0.4486,
      0.4553,
      0.4477,
      0.2358,
      0.3865,
      0.2264,
      0.7519,
      0.371,
      0.7591,
      0.4563,
      0.4974,
      0.506,
      0.5358,
      0.5483,
      0.574,
      0.8226,
      0.8338,
      0.6961,
      0.5242,
      0.3314,
      0.4062,
      0.6087,
      0.651,
      0.6455,
      0.6048,
      0.6854,
      0.6099,
      0.4105,
      0.5795,
      0.5131,
      0.5951,
      0.4222,
      0.511,
      0.5936,
      0.6085,
      0.546,
      0.7678,
      0.6235,
      0.5559,
      0.3906,
      0.6364,
      0.8827,
      0.5581,
      0.3871,
      0.4806,
      0.3552,
      0.2665,
      0.4123,
      0.5698,
      0.4351,
      0.7121,
      0.6164,
      0.3373,
      0.26,
      0.74,
      0.5031,
      0.6407,
      0.4751,
      0.4383,
      0.6291,
      0.6195,
      0.5032,
      0.6299,
      0.3773,
      0.3567,
      0.2345,
      0.452,
      0.5897,
      0.6509,
      0.5362,
      0.3703,
      0.71,
      0.4727,
      0.5366,
      0.7632,
      0.5604,
      0.644,
      0.5391,
      0.7227,
      0.4937,
      0.588,
      0.4018,
      0.5929,
      0.5875,
      0.626,
      0.5025,
      0.436,
      0.4666,
      0.7738,
      0.5312,
      0.5931,
      0.4573,
      0.4862,
      0.5924,
      0.6329,
      0.5999,
      0.5375,
      0.4597,
      0.3334,
      0.2916,
      0.4983,
      0.5196,
      0.6314,
      0.4846,
      0.5779,
      0.6105,
      0.6181,
      0.6478,
      0.817,
      0.7497,
      0.4176,
      0.5187,
      0.488,
      0.3377,
      0.5022,
      0.5176,
      0.3336,
      0.5247,
      0.4913,
      0.6783,
      0.4647,
      0.5389,
      0.532,
      0.5849,
      0.5178,
      0.4258,
      0.5036,
      0.5052,
      0.5332,
      0.3668,
      0.3466,
      0.666,
      0.6057,
      0.6448,
      0.5973,
      0.5164,
      0.444,
      0.613,
      0.4983,
      0.65,
      0.6973,
      0.5725,
      0.4318,
      0.3777,
      0.5512,
      0.817,
      0.6859,
      0.4671,
      0.6361,
      0.4949,
      0.5525,
      0.5381,
      0.4976,
      0.6501,
      0.4856,
      0.467,
      0.5824,
      0.5782,
      0.6637,
      0.6732,
      0.5164,
      0.6979,
      0.5089,
      0.4218,
      0.4974,
      0.579,
      0.515,
      0.6941,
      0.6833,
      0.576,
      0.5603,
      0.55,
      0.6092,
      0.519,
      0.6077,
      0.3914,
      0.4748,
      0.5334,
      0.5576,
      0.5993,
      0.4835,
      0.5873,
      0.6168,
      0.6764,
      0.6221,
      0.7558,
      0.5093,
      0.769,
      0.371,
      0.5038,
      0.6676,
      0.5911,
      0.6345,
      0.4524,
      0.6488,
      0.5162,
      0.6733,
      0.6046,
      0.5222,
      0.5473,
      0.4838,
      0.5873,
      0.6169,
      0.4508,
      0.527,
      0.4626,
      0.6203,
      0.812,
      0.6661,
      0.6085,
      0.5544,
      0.6157,
      0.4466,
      0.4225,
      0.5499,
      0.4749,
      0.5851,
      0.654,
      0.4963,
      0.3845,
      0.4994,
      0.6514,
      0.6035,
      0.5831,
      0.6279,
      0.4823,
      0.5105,
      0.6116,
      0.4239,
      0.3752,
      0.4219,
      0.3971,
      0.37,
      0.4192,
      0.2138,
      0.3689,
      0.1893,
      0.1728,
      0.3018,
      0.0686,
      0.0792,
      0,
      0,
      0,
      0,
      0,
      0.5381,
      0.5435,
      0.7276,
      0.6661,
      0.5237,
      0.4373,
      0.2234,
      0.4778,
      0.2094,
      0.6152,
      0.3566,
      0.3786,
      0.165,
      0.4976,
      0.742,
      0.2503,
      0.5503,
      0.5795,
      0.4835,
      0.4565,
      0.4128,
      0.3655,
      0.0075,
      0.4197,
      0.7663,
      0.3234,
      0.5344,
      0.3402,
      0.5337,
      0.5141,
      0.4509,
      0.4308,
      0.4188,
      0.5938,
      0.5733,
      0.4624,
      0.6398,
      0.639,
      0.4446,
      0.8027,
      0.7933,
      0.5597,
      0.4003,
      0.5102,
      0.3835,
      0.3552,
      0.3604,
      0.5156,
      0.4427,
      0.5278,
      0.6213,
      0.5503,
      0.372,
      0.5762,
      0.4238,
      0.3855,
      0.481,
      0.2425,
      0.3135,
      0.2816,
      0.6398,
      0.4126,
      0.8138,
      0.5083,
      0.6103,
      0.4836,
      0.5825,
      0.5985,
      0.5985,
      0.7372,
      0.7768,
      0.5603,
      0.5274,
      0.4136,
      0.4428,
      0.6658,
      0.671,
      0.6661,
      0.6635,
      0.6876,
      0.7313,
      0.6076,
      0.5726,
      0.5546,
      0.6669,
      0.6034,
      0.5388,
      0.5939,
      0.6547,
      0.5424,
      0.6841,
      0.7918,
      0.7194,
      0.4586,
      0.6756,
      0.8163,
      0.592,
      0.7129,
      0.5186,
      0.3853,
      0.2534,
      0.4515,
      0.6489,
      0.3753,
      0.6658,
      0.5385,
      0.3056,
      0.284,
      0.6702,
      0.5328,
      0.5756,
      0.4764,
      0.3903,
      0.4939,
      0.5144,
      0.5419,
      0.69,
      0.4297,
      0.3939,
      0.2384,
      0.4388,
      0.6248,
      0.7237,
      0.6163,
      0.5007,
      0.5995,
      0.5748,
      0.5669,
      0.7384,
      0.6385,
      0.6382,
      0.5632,
      0.6501,
      0.491,
      0.577,
      0.4902,
      0.7247,
      0.606,
      0.7044,
      0.529,
      0.5333,
      0.4745,
      0.6726,
      0.5351,
      0.6308,
      0.5035,
      0.4967,
      0.6329,
      0.7017,
      0.6636,
      0.6259,
      0.5753,
      0.4886,
      0.4933,
      0.6103,
      0.6133,
      0.6643,
      0.5763,
      0.5632,
      0.5449,
      0.7069,
      0.7018,
      0.8817,
      0.7365,
      0.4058,
      0.5453,
      0.5063,
      0.4381,
      0.5266,
      0.549,
      0.4351,
      0.5465,
      0.4852,
      0.6623,
      0.4904,
      0.5088,
      0.5673,
      0.553,
      0.5962,
      0.3915,
      0.4579,
      0.4853,
      0.5428,
      0.3978,
      0.3846,
      0.6635,
      0.6686,
      0.6733,
      0.601,
      0.4989,
      0.5519,
      0.6876,
      0.614,
      0.8851,
      0.7258,
      0.497,
      0.4952,
      0.4925,
      0.6431,
      0.7868,
      0.6848,
      0.589,
      0.6455,
      0.6953,
      0.4068,
      0.538,
      0.586,
      0.6554,
      0.552,
      0.4959,
      0.5615,
      0.5993,
      0.6838,
      0.5587,
      0.7454,
      0.7381,
      0.6196,
      0.5398,
      0.6186,
      0.5394,
      0.4218,
      0.7336,
      0.671,
      0.6004,
      0.6671,
      0.5825,
      0.8281,
      0.457,
      0.6898,
      0.4944,
      0.5743,
      0.6038,
      0.5858,
      0.8854,
      0.5577,
      0.5355,
      0.4945,
      0.6014,
      0.5787,
      0.7215,
      0.5776,
      0.7605,
      0.3648,
      0.5185,
      0.6668,
      0.6173,
      0.6803,
      0.5665,
      0.6665,
      0.5926,
      0.682,
      0.6237,
      0.6546,
      0.681,
      0.5932,
      0.7413,
      0.6362,
      0.5261,
      0.6219,
      0.5625,
      0.5458,
      0.5631,
      0.6399,
      0.6068,
      0.5266,
      0.6984,
      0.354,
      0.4087,
      0.5643,
      0.5428,
      0.6174,
      0.6078,
      0.4685,
      0.4511,
      0.4233,
      0.6605,
      0.6136,
      0.6678,
      0.6587,
      0.5419,
      0.6209,
      0.5281,
      0.5173,
      0.4583,
      0.4461,
      0.4147,
      0.3673,
      0.4245,
      0.2687,
      0.444,
      0.2625,
      0.2372,
      0.2345,
      0.1369,
      0.0698,
      0,
      0,
      0,
      0,
      0,
      0.3467,
      0.2626,
      0.2698,
      0.4161,
      0.3246,
      0.4264,
      0.2383,
      0.4314,
      0.1529,
      0.4914,
      0.3657,
      0.3114,
      0.286,
      0.4658,
      0.4425,
      0.1564,
      0.4685,
      0.1887,
      0.3024,
      0.2927,
      0.2958,
      0.147,
      0,
      0.4367,
      0.4731,
      0.3069,
      0.3508,
      0.3323,
      0.5094,
      0.4016,
      0.3292,
      0.2428,
      0.3209,
      0.3521,
      0.5459,
      0.3491,
      0.3719,
      0.4738,
      0.4393,
      0.5375,
      0.4272,
      0.4177,
      0.4106,
      0.4818,
      0.3662,
      0.3621,
      0.3324,
      0.3543,
      0.4437,
      0.3763,
      0.4434,
      0.4351,
      0.3434,
      0.5244,
      0.5352,
      0.3025,
      0.547,
      0.1351,
      0.3283,
      0.3043,
      0.4222,
      0.255,
      0.3991,
      0.4082,
      0.7721,
      0.7183,
      0.5463,
      0.4002,
      0.4748,
      0.305,
      0.4913,
      0.3947,
      0.5806,
      0.4108,
      0.3172,
      0.4977,
      0.6138,
      0.6458,
      0.4707,
      0.5622,
      0.7338,
      0.4056,
      0.4062,
      0.4432,
      0.452,
      0.6343,
      0.4639,
      0.6167,
      0.3837,
      0.5421,
      0.5605,
      0.6935,
      0.6438,
      0.4477,
      0.4821,
      0.5606,
      0.6469,
      0.496,
      0.3148,
      0.3599,
      0.2582,
      0.3398,
      0.3446,
      0.3168,
      0.2984,
      0.4266,
      0.3189,
      0.1425,
      0.3394,
      0.4257,
      0.2857,
      0.3065,
      0.342,
      0.5083,
      0.575,
      0.4382,
      0.3518,
      0.3859,
      0.395,
      0.3236,
      0.3405,
      0.4118,
      0.4608,
      0.4828,
      0.4712,
      0.3658,
      0.5527,
      0.5111,
      0.5391,
      0.5493,
      0.3761,
      0.5179,
      0.5311,
      0.4561,
      0.6413,
      0.3764,
      0.5006,
      0.5954,
      0.5377,
      0.4861,
      0.5089,
      0.3682,
      0.3935,
      0.4702,
      0.2993,
      0.5486,
      0.4583,
      0.6887,
      0.5304,
      0.4762,
      0.3876,
      0.4447,
      0.3122,
      0.3612,
      0.4465,
      0.4816,
      0.5193,
      0.5643,
      0.6142,
      0.6131,
      0.6092,
      0.4431,
      0.491,
      0.4425,
      0.3712,
      0.4077,
      0.4786,
      0.4945,
      0.4552,
      0.3719,
      0.5378,
      0.4019,
      0.5197,
      0.5671,
      0.6145,
      0.4638,
      0.4737,
      0.5247,
      0.3429,
      0.3868,
      0.5158,
      0.4422,
      0.421,
      0.3567,
      0.3334,
      0.4602,
      0.534,
      0.6675,
      0.5569,
      0.4804,
      0.514,
      0.4187,
      0.5603,
      0.9011,
      0.6379,
      0.5675,
      0.412,
      0.4052,
      0.3584,
      0.5817,
      0.5107,
      0.6234,
      0.3699,
      0.6905,
      0.4223,
      0.5438,
      0.5799,
      0.5617,
      0.5906,
      0.4842,
      0.4128,
      0.5949,
      0.57,
      0.5247,
      0.7854,
      0.4305,
      0.3407,
      0.5161,
      0.6604,
      0.4703,
      0.3785,
      0.6275,
      0.4502,
      0.3758,
      0.5415,
      0.5552,
      0.8353,
      0.3503,
      0.4251,
      0.3691,
      0.4475,
      0.6034,
      0.523,
      0.8229,
      0.5918,
      0.5573,
      0.4034,
      0.5742,
      0.4865,
      0.6604,
      0.4489,
      0.5652,
      0.4048,
      0.4379,
      0.6078,
      0.4199,
      0.6747,
      0.3955,
      0.5571,
      0.5554,
      0.6611,
      0.4701,
      0.5401,
      0.4359,
      0.4751,
      0.6319,
      0.4548,
      0.3798,
      0.5157,
      0.4872,
      0.4472,
      0.5316,
      0.6413,
      0.4904,
      0.5102,
      0.7106,
      0.4342,
      0.4549,
      0.5594,
      0.4484,
      0.4683,
      0.407,
      0.4348,
      0.3732,
      0.3988,
      0.5141,
      0.5843,
      0.4517,
      0.4583,
      0.4836,
      0.3853,
      0.4311,
      0.6118,
      0.3565,
      0.373,
      0.4206,
      0.4617,
      0.4226,
      0.2464,
      0.3421,
      0.1675,
      0.062,
      0.0512,
      0.0355,
      0,
      0,
      0,
      0,
      0,
      0,
      0.4168,
      0.2484,
      0.2154,
      0.2457,
      0.3347,
      0.5621,
      0.1089,
      0.2972,
      0.5731,
      0.5003,
      0.4091,
      0.181,
      0.622,
      0.6988,
      0.5824,
      0.5349,
      0.574,
      0.1117,
      0.4636,
      0.341,
      0.5604,
      0.3638,
      0.0094,
      0.451,
      0.2998,
      0.4999,
      0.4202,
      0.6615,
      0.5342,
      0.4814,
      0.34,
      0.3963,
      0.3304,
      0.4734,
      0.4161,
      0.4644,
      0.5998,
      0.5773,
      0.4513,
      0.4852,
      0.4705,
      0.322,
      0.4455,
      0.4669,
      0.4178,
      0.3602,
      0.4862,
      0.5671,
      0.6182,
      0.5949,
      0.4098,
      0.5822,
      0.4666,
      0.3859,
      0.5784,
      0.5698,
      0.5106,
      0.1474,
      0.4323,
      0.5456,
      0.3812,
      0.5066,
      0.3382,
      0.5252,
      0.7424,
      0.8034,
      0.4799,
      0.5451,
      0.7532,
      0.3921,
      0.4437,
      0.5118,
      0.5171,
      0.3549,
      0.6009,
      0.6906,
      0.7447,
      0.6102,
      0.6891,
      0.7538,
      0.567,
      0.7568,
      0.5495,
      0.6453,
      0.4468,
      0.6659,
      0.6653,
      0.7292,
      0.4495,
      0.5576,
      0.5802,
      0.5495,
      0.8551,
      0.5801,
      0.6457,
      0.529,
      0.639,
      0.5146,
      0.6015,
      0.489,
      0.2916,
      0.8151,
      0.3993,
      0.2085,
      0.3305,
      0.5261,
      0.3076,
      0.2943,
      0.4557,
      0.5606,
      0.4631,
      0.3295,
      0.4388,
      0.5909,
      0.6124,
      0.6407,
      0.4279,
      0.3857,
      0.7107,
      0.3649,
      0.3669,
      0.594,
      0.4304,
      0.5213,
      0.4326,
      0.6909,
      0.5209,
      0.6113,
      0.5199,
      0.8245,
      0.6396,
      0.4304,
      0.5826,
      0.7203,
      0.4183,
      0.5153,
      0.5792,
      0.6111,
      0.5825,
      0.4832,
      0.5026,
      0.5051,
      0.458,
      0.6143,
      0.4048,
      0.5156,
      0.458,
      0.7297,
      0.4852,
      0.6607,
      0.418,
      0.4468,
      0.55,
      0.569,
      0.6881,
      0.4987,
      0.6026,
      0.562,
      0.5536,
      0.6539,
      0.6238,
      0.5774,
      0.4188,
      0.533,
      0.5254,
      0.486,
      0.5277,
      0.5715,
      0.5574,
      0.6497,
      0.7905,
      0.6036,
      0.6583,
      0.6036,
      0.6595,
      0.646,
      0.5731,
      0.6806,
      0.4827,
      0.5962,
      0.548,
      0.4986,
      0.5769,
      0.5931,
      0.612,
      0.4859,
      0.6278,
      0.6535,
      0.6378,
      0.5713,
      0.5018,
      0.7023,
      0.5939,
      0.659,
      0.5878,
      0.5261,
      0.3731,
      0.6947,
      0.5817,
      0.6485,
      0.5639,
      0.6949,
      0.5418,
      0.5849,
      0.7277,
      0.647,
      0.544,
      0.494,
      0.4528,
      0.6205,
      0.5889,
      0.4516,
      0.4845,
      0.5432,
      0.5055,
      0.4558,
      0.3351,
      0.466,
      0.6195,
      0.6693,
      0.4746,
      0.4488,
      0.4443,
      0.7152,
      0.5134,
      0.6658,
      0.7793,
      0.5365,
      0.2464,
      0.5673,
      0.5644,
      0.6911,
      0.4178,
      0.5921,
      0.9024,
      0.618,
      0.6612,
      0.5273,
      0.5231,
      0.711,
      0.5399,
      0.4418,
      0.4549,
      0.6272,
      0.5439,
      0.4628,
      0.4586,
      0.4131,
      0.6381,
      0.7003,
      0.6812,
      0.5964,
      0.6914,
      0.5851,
      0.6108,
      0.4906,
      0.7724,
      0.3026,
      0.5772,
      0.6352,
      0.6189,
      0.7048,
      0.5846,
      0.6129,
      0.5748,
      0.8799,
      0.5075,
      0.4675,
      0.5447,
      0.4602,
      0.4768,
      0.7564,
      0.5667,
      0.369,
      0.4472,
      0.5547,
      0.6039,
      0.5067,
      0.4481,
      0.5919,
      0.4861,
      0.504,
      0.5774,
      0.5253,
      0.3857,
      0.5407,
      0.5722,
      0.3929,
      0.2739,
      0.4021,
      0.4105,
      0.2103,
      0.1603,
      0.0733,
      0,
      0,
      0,
      0,
      0,
      0,
      0.4402,
      0.1674,
      0.2946,
      0.3261,
      0.4038,
      0.4459,
      0.0881,
      0.3038,
      0.7509,
      0.2797,
      0.4335,
      0.099,
      0.4689,
      0.7683,
      0.4865,
      0.4319,
      0.2633,
      0.1176,
      0.2564,
      0.2067,
      0.3924,
      0.266,
      0,
      0.4662,
      0.3375,
      0.272,
      0.5052,
      0.534,
      0.573,
      0.571,
      0.3357,
      0.3141,
      0.4824,
      0.5904,
      0.5041,
      0.582,
      0.6325,
      0.4894,
      0.5196,
      0.4313,
      0.4563,
      0.2278,
      0.4795,
      0.5286,
      0.8123,
      0.3904,
      0.6431,
      0.4892,
      0.4845,
      0.5967,
      0.3287,
      0.5201,
      0.4163,
      0.3659,
      0.5593,
      0.5786,
      0.2939,
      0.1139,
      0.4085,
      0.6345,
      0.5383,
      0.5107,
      0.4557,
      0.6448,
      0.5637,
      0.6318,
      0.7749,
      0.4884,
      0.67,
      0.3691,
      0.5711,
      0.638,
      0.5064,
      0.3648,
      0.6145,
      0.68,
      0.6039,
      0.5587,
      0.5897,
      0.6376,
      0.5635,
      0.7146,
      0.4488,
      0.5425,
      0.4138,
      0.4746,
      0.6351,
      0.621,
      0.4865,
      0.4707,
      0.6488,
      0.5691,
      0.7759,
      0.5706,
      0.5601,
      0.4889,
      0.6316,
      0.5122,
      0.4764,
      0.3313,
      0.2544,
      0.5171,
      0.3437,
      0.2626,
      0.3508,
      0.343,
      0.3586,
      0.229,
      0.3377,
      0.494,
      0.4823,
      0.2914,
      0.4037,
      0.582,
      0.5652,
      0.4152,
      0.4025,
      0.3214,
      0.5302,
      0.2249,
      0.5509,
      0.5101,
      0.4696,
      0.4485,
      0.3613,
      0.5766,
      0.5508,
      0.7044,
      0.5205,
      0.5505,
      0.5933,
      0.4729,
      0.4741,
      0.6471,
      0.4622,
      0.4876,
      0.551,
      0.5521,
      0.5982,
      0.4549,
      0.5328,
      0.602,
      0.4461,
      0.4991,
      0.3015,
      0.4567,
      0.5427,
      0.6271,
      0.5223,
      0.5687,
      0.3465,
      0.5771,
      0.5593,
      0.5978,
      0.6381,
      0.4711,
      0.6322,
      0.5,
      0.4627,
      0.6417,
      0.6872,
      0.7717,
      0.4212,
      0.4439,
      0.6582,
      0.4722,
      0.5627,
      0.6184,
      0.5364,
      0.6287,
      0.7517,
      0.5148,
      0.6444,
      0.6035,
      0.6434,
      0.437,
      0.7107,
      0.5347,
      0.3715,
      0.7312,
      0.5568,
      0.4941,
      0.453,
      0.5982,
      0.6462,
      0.514,
      0.5972,
      0.5572,
      0.5638,
      0.5595,
      0.4657,
      0.6291,
      0.6708,
      0.5621,
      0.5812,
      0.5896,
      0.2975,
      0.5258,
      0.6641,
      0.6688,
      0.6395,
      0.6441,
      0.6875,
      0.638,
      0.7832,
      0.613,
      0.5633,
      0.3835,
      0.5345,
      0.5674,
      0.5875,
      0.4982,
      0.587,
      0.5266,
      0.4051,
      0.5254,
      0.3594,
      0.2937,
      0.4895,
      0.6643,
      0.5552,
      0.4031,
      0.4313,
      0.606,
      0.5343,
      0.6415,
      0.6054,
      0.51,
      0.3098,
      0.4556,
      0.7624,
      0.3636,
      0.4418,
      0.5614,
      0.6757,
      0.6311,
      0.6022,
      0.5373,
      0.5134,
      0.763,
      0.6743,
      0.6138,
      0.4285,
      0.661,
      0.5825,
      0.3898,
      0.4875,
      0.3298,
      0.5959,
      0.7773,
      0.5879,
      0.5702,
      0.6326,
      0.461,
      0.6696,
      0.4788,
      0.7467,
      0.4938,
      0.5692,
      0.577,
      0.532,
      0.5936,
      0.6032,
      0.6031,
      0.5325,
      0.6759,
      0.561,
      0.5032,
      0.5689,
      0.5218,
      0.4501,
      0.7442,
      0.576,
      0.3316,
      0.5079,
      0.6152,
      0.6221,
      0.4936,
      0.4052,
      0.547,
      0.4443,
      0.4876,
      0.4986,
      0.4406,
      0.4017,
      0.4364,
      0.4609,
      0.3418,
      0.2295,
      0.3271,
      0.339,
      0.1443,
      0.098,
      0.073,
      0.0404,
      0,
      0,
      0,
      0,
      0,
      0.3042,
      0.1879,
      0.2401,
      0.6117,
      0.464,
      0.3004,
      0.2015,
      0.337,
      0.4837,
      0.2309,
      0.4323,
      0.1169,
      0.1819,
      0.5589,
      0.2428,
      0.0898,
      0.1574,
      0.2668,
      0.0786,
      0.245,
      0.289,
      0.3663,
      0.0071,
      0.4797,
      0.3487,
      0.2765,
      0.5037,
      0.3219,
      0.6135,
      0.4617,
      0.3774,
      0.4348,
      0.4252,
      0.5018,
      0.5412,
      0.4848,
      0.4112,
      0.5318,
      0.6079,
      0.4034,
      0.4188,
      0.1583,
      0.4976,
      0.5538,
      0.4834,
      0.4484,
      0.5373,
      0.3784,
      0.3415,
      0.3526,
      0.3265,
      0.4837,
      0.4705,
      0.5779,
      0.5161,
      0.4073,
      0.2379,
      0.0854,
      0.3471,
      0.3279,
      0.6054,
      0.3803,
      0.3809,
      0.4686,
      0.5311,
      0.5446,
      0.4874,
      0.4429,
      0.5208,
      0.3285,
      0.5866,
      0.3713,
      0.4229,
      0.226,
      0.3314,
      0.4397,
      0.346,
      0.4464,
      0.5291,
      0.4189,
      0.5113,
      0.4921,
      0.3969,
      0.558,
      0.3948,
      0.481,
      0.3771,
      0.4822,
      0.4327,
      0.4757,
      0.5838,
      0.4154,
      0.5453,
      0.4416,
      0.4662,
      0.4066,
      0.5714,
      0.5061,
      0.3668,
      0.4357,
      0.2866,
      0.2811,
      0.2952,
      0.3133,
      0.362,
      0.357,
      0.2924,
      0.1646,
      0.346,
      0.3571,
      0.3355,
      0.2557,
      0.3197,
      0.6076,
      0.5732,
      0.4188,
      0.4005,
      0.3789,
      0.4154,
      0.1633,
      0.3985,
      0.4285,
      0.3848,
      0.3883,
      0.3271,
      0.4594,
      0.7837,
      0.7108,
      0.7285,
      0.5037,
      0.4135,
      0.5284,
      0.4454,
      0.505,
      0.2958,
      0.3947,
      0.5906,
      0.5428,
      0.7046,
      0.4243,
      0.425,
      0.3536,
      0.5186,
      0.4682,
      0.2949,
      0.451,
      0.6355,
      0.3678,
      0.4813,
      0.4839,
      0.3766,
      0.5434,
      0.3868,
      0.4177,
      0.4131,
      0.4465,
      0.551,
      0.4247,
      0.4992,
      0.5934,
      0.66,
      0.8099,
      0.5345,
      0.3855,
      0.396,
      0.4404,
      0.5326,
      0.3478,
      0.4825,
      0.471,
      0.438,
      0.3741,
      0.5473,
      0.5971,
      0.516,
      0.4743,
      0.7153,
      0.5266,
      0.4362,
      0.2583,
      0.5664,
      0.5584,
      0.4143,
      0.3345,
      0.3761,
      0.4981,
      0.6019,
      0.5592,
      0.4536,
      0.4387,
      0.4679,
      0.4545,
      0.6589,
      0.3186,
      0.513,
      0.4556,
      0.2357,
      0.395,
      0.615,
      0.6165,
      0.6153,
      0.5205,
      0.3787,
      0.6718,
      0.4808,
      0.4802,
      0.5986,
      0.4198,
      0.4248,
      0.3828,
      0.4905,
      0.4783,
      0.6086,
      0.4966,
      0.3013,
      0.5419,
      0.2479,
      0.2994,
      0.3624,
      0.7208,
      0.4548,
      0.3716,
      0.2952,
      0.3938,
      0.5366,
      0.5704,
      0.5563,
      0.5358,
      0.2427,
      0.344,
      0.8158,
      0.3514,
      0.4621,
      0.465,
      0.4563,
      0.458,
      0.4952,
      0.5388,
      0.547,
      0.7292,
      0.6997,
      0.4689,
      0.4137,
      0.712,
      0.5682,
      0.4079,
      0.4848,
      0.3999,
      0.5339,
      0.7127,
      0.537,
      0.4945,
      0.4339,
      0.4132,
      0.5749,
      0.4886,
      0.5075,
      0.4514,
      0.4958,
      0.5543,
      0.4559,
      0.4994,
      0.5528,
      0.5324,
      0.4671,
      0.5334,
      0.4349,
      0.3497,
      0.5689,
      0.5171,
      0.5757,
      0.689,
      0.274,
      0.3056,
      0.4218,
      0.5692,
      0.6095,
      0.4973,
      0.3551,
      0.4236,
      0.4013,
      0.4835,
      0.4311,
      0.3752,
      0.3454,
      0.3361,
      0.1819,
      0.3208,
      0.2616,
      0.3857,
      0.2525,
      0.0354,
      0.0601,
      0.0979,
      0,
      0,
      0,
      0,
      0,
      0,
      0.4085,
      0.2134,
      0.2865,
      0.7269,
      0.4642,
      0.4054,
      0.218,
      0.5256,
      0.3371,
      0.2657,
      0.5299,
      0.1465,
      0.231,
      0.4918,
      0.3243,
      0.1637,
      0.2142,
      0.31,
      0.2257,
      0.1844,
      0.1427,
      0.3934,
      0.0132,
      0.4828,
      0.353,
      0.2863,
      0.4588,
      0.3397,
      0.6668,
      0.3767,
      0.2971,
      0.2962,
      0.3055,
      0.52,
      0.4673,
      0.3874,
      0.3006,
      0.8449,
      0.8423,
      0.3183,
      0.3136,
      0.1905,
      0.4789,
      0.6159,
      0.4656,
      0.4813,
      0.412,
      0.6073,
      0.5637,
      0.5432,
      0.3634,
      0.4778,
      0.8242,
      0.8446,
      0.5071,
      0.4832,
      0.1416,
      0.1108,
      0.3974,
      0.2722,
      0.7217,
      0.2323,
      0.5455,
      0.5572,
      0.5674,
      0.5322,
      0.6569,
      0.4608,
      0.544,
      0.3501,
      0.7085,
      0.4231,
      0.6172,
      0.4792,
      0.3427,
      0.4018,
      0.3937,
      0.5524,
      0.5567,
      0.423,
      0.7368,
      0.6344,
      0.5254,
      0.5916,
      0.4868,
      0.5588,
      0.5918,
      0.3931,
      0.6137,
      0.4063,
      0.5847,
      0.4696,
      0.5664,
      0.7502,
      0.4811,
      0.4443,
      0.7271,
      0.4606,
      0.4277,
      0.4928,
      0.4414,
      0.4251,
      0.2644,
      0.2994,
      0.35,
      0.423,
      0.2819,
      0.2832,
      0.3659,
      0.6034,
      0.6348,
      0.5144,
      0.3221,
      0.5306,
      0.6813,
      0.4154,
      0.7134,
      0.5496,
      0.3145,
      0.1559,
      0.4701,
      0.4606,
      0.4455,
      0.5877,
      0.4072,
      0.5939,
      0.5086,
      0.6148,
      0.4371,
      0.4608,
      0.4721,
      0.5749,
      0.5256,
      0.4424,
      0.5334,
      0.4392,
      0.6359,
      0.5336,
      0.601,
      0.5114,
      0.3991,
      0.425,
      0.4601,
      0.5277,
      0.5829,
      0.5496,
      0.8136,
      0.6184,
      0.5541,
      0.6104,
      0.5438,
      0.6323,
      0.3994,
      0.3719,
      0.5991,
      0.5665,
      0.3674,
      0.4556,
      0.6022,
      0.6026,
      0.6725,
      0.7037,
      0.5183,
      0.5299,
      0.3872,
      0.4038,
      0.4771,
      0.3624,
      0.5301,
      0.4793,
      0.4282,
      0.475,
      0.4951,
      0.5815,
      0.4282,
      0.7703,
      0.5969,
      0.5758,
      0.5649,
      0.3278,
      0.5426,
      0.8024,
      0.4695,
      0.3488,
      0.2968,
      0.6371,
      0.6339,
      0.5082,
      0.4644,
      0.7623,
      0.5258,
      0.725,
      0.6638,
      0.6299,
      0.5085,
      0.3723,
      0.2715,
      0.5878,
      0.4627,
      0.5937,
      0.6311,
      0.6434,
      0.3053,
      0.6203,
      0.5354,
      0.5655,
      0.5875,
      0.4785,
      0.6109,
      0.3419,
      0.3982,
      0.5584,
      0.6393,
      0.6767,
      0.3873,
      0.6006,
      0.5769,
      0.4805,
      0.4518,
      0.8711,
      0.4735,
      0.4262,
      0.3564,
      0.4907,
      0.5584,
      0.4123,
      0.5609,
      0.6623,
      0.2842,
      0.3503,
      0.4969,
      0.5308,
      0.6533,
      0.566,
      0.5134,
      0.491,
      0.5757,
      0.7713,
      0.5631,
      0.6945,
      0.5825,
      0.5721,
      0.7335,
      0.5539,
      0.6101,
      0.5521,
      0.3843,
      0.4445,
      0.7371,
      0.5345,
      0.6566,
      0.5034,
      0.5679,
      0.534,
      0.6501,
      0.5856,
      0.4947,
      0.5018,
      0.5106,
      0.562,
      0.8039,
      0.5649,
      0.6836,
      0.578,
      0.8495,
      0.5192,
      0.6047,
      0.6421,
      0.5899,
      0.5408,
      0.6185,
      0.4665,
      0.3941,
      0.3415,
      0.4126,
      0.5544,
      0.5517,
      0.6162,
      0.5463,
      0.3614,
      0.4901,
      0.4906,
      0.3803,
      0.4016,
      0.464,
      0.3309,
      0.2856,
      0.2973,
      0.2481,
      0.3689,
      0.3925,
      0.1559,
      0.1762,
      0.1523,
      0,
      0,
      0,
      0,
      0,
      0,
      0.4764,
      0.3074,
      0.4654,
      0.6554,
      0.4065,
      0.3086,
      0.005,
      0.4343,
      0.3395,
      0.5131,
      0.42,
      0.1161,
      0.2299,
      0.5329,
      0.2965,
      0.1536,
      0.2281,
      0.1653,
      0.1559,
      0.2678,
      0.114,
      0.1136,
      0,
      0.4898,
      0.3507,
      0.4047,
      0.3305,
      0.2924,
      0.5548,
      0.4222,
      0.4164,
      0.3336,
      0.3136,
      0.5048,
      0.535,
      0.6179,
      0.2899,
      0.7799,
      0.609,
      0.4199,
      0.5482,
      0.3546,
      0.4598,
      0.589,
      0.5323,
      0.4127,
      0.2316,
      0.4066,
      0.459,
      0.5829,
      0.4526,
      0.4551,
      0.4636,
      0.6644,
      0.4756,
      0.4269,
      0.2293,
      0.1369,
      0.3644,
      0.2634,
      0.7754,
      0.257,
      0.5855,
      0.4203,
      0.5481,
      0.5562,
      0.5447,
      0.5379,
      0.5717,
      0.5821,
      0.6607,
      0.5371,
      0.6082,
      0.3654,
      0.3548,
      0.448,
      0.4437,
      0.6114,
      0.616,
      0.396,
      0.8872,
      0.5862,
      0.4945,
      0.5538,
      0.4634,
      0.5392,
      0.526,
      0.4152,
      0.4242,
      0.4374,
      0.691,
      0.4968,
      0.6308,
      0.5132,
      0.4346,
      0.6243,
      0.5653,
      0.4605,
      0.4432,
      0.5074,
      0.8006,
      0.4211,
      0.261,
      0.3062,
      0.3638,
      0.5097,
      0.2174,
      0.1514,
      0.4038,
      0.4878,
      0.6966,
      0.5061,
      0.4519,
      0.6551,
      0.6231,
      0.4139,
      0.5945,
      0.544,
      0.3335,
      0.1548,
      0.4824,
      0.4643,
      0.4488,
      0.4679,
      0.4915,
      0.3813,
      0.4678,
      0.6096,
      0.4312,
      0.4659,
      0.4969,
      0.5734,
      0.532,
      0.4578,
      0.6425,
      0.3911,
      0.7246,
      0.4681,
      0.5891,
      0.5799,
      0.5297,
      0.4123,
      0.502,
      0.4455,
      0.5209,
      0.4892,
      0.6867,
      0.5767,
      0.6156,
      0.6807,
      0.5317,
      0.598,
      0.4029,
      0.3981,
      0.4953,
      0.5253,
      0.5174,
      0.4395,
      0.5774,
      0.5913,
      0.7079,
      0.5491,
      0.5254,
      0.6359,
      0.3633,
      0.3622,
      0.5018,
      0.2559,
      0.6134,
      0.3719,
      0.3429,
      0.4451,
      0.5851,
      0.5539,
      0.5586,
      0.5201,
      0.5534,
      0.6514,
      0.4822,
      0.2708,
      0.529,
      0.6068,
      0.5132,
      0.29,
      0.3606,
      0.5528,
      0.6182,
      0.5579,
      0.4632,
      0.8738,
      0.7016,
      0.5616,
      0.6958,
      0.6013,
      0.4878,
      0.5366,
      0.3979,
      0.5659,
      0.4503,
      0.6825,
      0.732,
      0.6457,
      0.4557,
      0.7607,
      0.4855,
      0.4908,
      0.6048,
      0.5254,
      0.5127,
      0.3605,
      0.4154,
      0.6452,
      0.6459,
      0.6792,
      0.42,
      0.4703,
      0.5428,
      0.5828,
      0.435,
      0.5132,
      0.4937,
      0.3969,
      0.3019,
      0.4343,
      0.5666,
      0.4484,
      0.5447,
      0.5361,
      0.4898,
      0.4178,
      0.4474,
      0.5159,
      0.5297,
      0.5651,
      0.5149,
      0.4022,
      0.6443,
      0.7456,
      0.5422,
      0.5778,
      0.4924,
      0.66,
      0.8283,
      0.4571,
      0.6777,
      0.8417,
      0.5226,
      0.6198,
      0.7367,
      0.5907,
      0.6228,
      0.6437,
      0.5668,
      0.5573,
      0.5927,
      0.668,
      0.5599,
      0.4991,
      0.4955,
      0.6923,
      0.8011,
      0.7576,
      0.6713,
      0.5175,
      0.6849,
      0.5517,
      0.8042,
      0.6084,
      0.5603,
      0.5217,
      0.577,
      0.4187,
      0.4425,
      0.367,
      0.4347,
      0.5246,
      0.5639,
      0.6497,
      0.541,
      0.4048,
      0.3528,
      0.4947,
      0.4687,
      0.3818,
      0.4983,
      0.57,
      0.2879,
      0.2355,
      0.327,
      0.413,
      0.271,
      0.1469,
      0.1684,
      0.1544,
      0.0708,
      0,
      0,
      0,
      0,
      0,
      0.5935,
      0.6989,
      0.5885,
      0.3789,
      0.318,
      0.2134,
      0.0886,
      0.436,
      0.213,
      0.5546,
      0.3814,
      0.2972,
      0.2656,
      0.5104,
      0.6975,
      0.4872,
      0.2914,
      0.1656,
      0.0468,
      0.1796,
      0.4158,
      0.2745,
      0,
      0.4389,
      0.5286,
      0.3707,
      0.4864,
      0.4383,
      0.4656,
      0.6404,
      0.4826,
      0.4282,
      0.3937,
      0.6158,
      0.5606,
      0.7026,
      0.4383,
      0.6122,
      0.4717,
      0.7982,
      0.7799,
      0.406,
      0.4525,
      0.4631,
      0.49,
      0.3842,
      0.1568,
      0.4125,
      0.5184,
      0.4653,
      0.5485,
      0.4098,
      0.4553,
      0.525,
      0.4922,
      0.36,
      0.2264,
      0.1999,
      0.3135,
      0.2056,
      0.7693,
      0.2712,
      0.824,
      0.5105,
      0.4734,
      0.4117,
      0.4794,
      0.5583,
      0.6841,
      0.7244,
      0.3435,
      0.5714,
      0.5866,
      0.3511,
      0.4008,
      0.6212,
      0.6451,
      0.6647,
      0.5179,
      0.6714,
      0.855,
      0.457,
      0.5934,
      0.4521,
      0.6773,
      0.4454,
      0.3293,
      0.5866,
      0.4371,
      0.4705,
      0.944,
      0.7123,
      0.5282,
      0.3472,
      0.6536,
      0.7219,
      0.663,
      0.4365,
      0.7762,
      0.7111,
      0.368,
      0.418,
      0.2382,
      0.7521,
      0.3623,
      0.6091,
      0.2523,
      0.1885,
      0.7091,
      0.4217,
      0.4749,
      0.7783,
      0.4152,
      0.6181,
      0.6613,
      0.6448,
      0.393,
      0.6142,
      0.4142,
      0.2034,
      0.4715,
      0.5701,
      0.6196,
      0.5087,
      0.3102,
      0.3524,
      0.4568,
      0.5241,
      0.4363,
      0.4544,
      0.6502,
      0.7224,
      0.6837,
      0.4488,
      0.4256,
      0.4221,
      0.4443,
      0.6225,
      0.5797,
      0.6299,
      0.6344,
      0.4593,
      0.4052,
      0.5164,
      0.7388,
      0.4226,
      0.3347,
      0.5258,
      0.5051,
      0.5672,
      0.4714,
      0.5066,
      0.4765,
      0.6177,
      0.4578,
      0.5471,
      0.6084,
      0.3423,
      0.5571,
      0.6065,
      0.6791,
      0.5814,
      0.7336,
      0.6789,
      0.4028,
      0.6466,
      0.4662,
      0.3636,
      0.7428,
      0.5585,
      0.3308,
      0.5737,
      0.4986,
      0.4782,
      0.5409,
      0.6524,
      0.7572,
      0.7472,
      0.4906,
      0.3917,
      0.517,
      0.4098,
      0.4857,
      0.3483,
      0.4247,
      0.5833,
      0.5372,
      0.5949,
      0.5259,
      0.5494,
      0.5355,
      0.6665,
      0.6103,
      0.4391,
      0.6894,
      0.5739,
      0.3285,
      0.3704,
      0.6012,
      0.7283,
      0.7157,
      0.5989,
      0.6595,
      0.7236,
      0.4725,
      0.5527,
      0.5414,
      0.633,
      0.3574,
      0.4026,
      0.5559,
      0.5543,
      0.6316,
      0.6162,
      0.604,
      0.5821,
      0.4498,
      0.4514,
      0.5338,
      0.4216,
      0.5554,
      0.5163,
      0.6341,
      0.3833,
      0.4318,
      0.5632,
      0.5287,
      0.3665,
      0.6752,
      0.5913,
      0.5209,
      0.5188,
      0.4167,
      0.6295,
      0.4556,
      0.4984,
      0.8752,
      0.5414,
      0.7408,
      0.5464,
      0.5007,
      0.6794,
      0.4589,
      0.518,
      0.6977,
      0.6426,
      0.6679,
      0.5293,
      0.6895,
      0.5964,
      0.5638,
      0.7017,
      0.4859,
      0.673,
      0.4967,
      0.3861,
      0.6529,
      0.4952,
      0.7591,
      0.7114,
      0.6771,
      0.8306,
      0.5675,
      0.6286,
      0.5612,
      0.4421,
      0.5652,
      0.6148,
      0.6574,
      0.6292,
      0.436,
      0.6765,
      0.4573,
      0.3114,
      0.4511,
      0.6956,
      0.6875,
      0.6561,
      0.6117,
      0.6085,
      0.4447,
      0.4172,
      0.4956,
      0.3778,
      0.5667,
      0.2392,
      0.4221,
      0.4449,
      0.3147,
      0.3834,
      0.4912,
      0.2537,
      0.1212,
      0.1852,
      0.0227,
      0,
      0,
      0,
      0,
      0,
      0.5829,
      0.3579,
      0.4841,
      0.3473,
      0.1666,
      0.339,
      0.1414,
      0.233,
      0.2395,
      0.4814,
      0.3342,
      0.2988,
      0.5248,
      0.4907,
      0.5392,
      0.2379,
      0.5845,
      0.1231,
      0.2486,
      0.1611,
      0.3284,
      0.1479,
      0.0496,
      0.3441,
      0.7701,
      0.2855,
      0.4499,
      0.4012,
      0.5314,
      0.4478,
      0.3834,
      0.3223,
      0.256,
      0.4936,
      0.5169,
      0.3319,
      0.3822,
      0.4556,
      0.3316,
      0.7375,
      0.755,
      0.4309,
      0.4214,
      0.4355,
      0.355,
      0.3979,
      0.1759,
      0.3741,
      0.3427,
      0.3528,
      0.5535,
      0.4221,
      0.4576,
      0.4655,
      0.4101,
      0.3353,
      0.2418,
      0.0995,
      0.4167,
      0.2863,
      0.6028,
      0.2687,
      0.7273,
      0.3547,
      0.5744,
      0.527,
      0.5221,
      0.6235,
      0.6105,
      0.6246,
      0.3888,
      0.3196,
      0.3286,
      0.2838,
      0.2698,
      0.5169,
      0.6128,
      0.5114,
      0.4115,
      0.781,
      0.5981,
      0.4039,
      0.4842,
      0.6189,
      0.5478,
      0.5266,
      0.5423,
      0.5471,
      0.4411,
      0.3482,
      0.6302,
      0.7695,
      0.4352,
      0.3607,
      0.5895,
      0.6389,
      0.6588,
      0.456,
      0.5681,
      0.7133,
      0.3044,
      0.3108,
      0.2677,
      0.3771,
      0.3326,
      0.3134,
      0.0613,
      0.2801,
      0.391,
      0.4282,
      0.3913,
      0.4277,
      0.5139,
      0.467,
      0.4996,
      0.3461,
      0.3849,
      0.4436,
      0.3892,
      0.2592,
      0.4087,
      0.6039,
      0.6619,
      0.5181,
      0.459,
      0.3461,
      0.2381,
      0.4817,
      0.4122,
      0.4771,
      0.5001,
      0.6455,
      0.4391,
      0.3842,
      0.3697,
      0.3585,
      0.4799,
      0.5887,
      0.52,
      0.682,
      0.6023,
      0.4322,
      0.4774,
      0.4007,
      0.6888,
      0.3629,
      0.3129,
      0.3707,
      0.4092,
      0.4357,
      0.3032,
      0.3897,
      0.5039,
      0.6267,
      0.4905,
      0.4834,
      0.5222,
      0.4199,
      0.5987,
      0.5851,
      0.7166,
      0.6114,
      0.5537,
      0.4247,
      0.3443,
      0.3356,
      0.3813,
      0.339,
      0.5493,
      0.3585,
      0.2912,
      0.4211,
      0.4444,
      0.4827,
      0.5399,
      0.5016,
      0.5786,
      0.7172,
      0.4756,
      0.3314,
      0.493,
      0.4493,
      0.4293,
      0.3479,
      0.3062,
      0.4251,
      0.5301,
      0.6172,
      0.5673,
      0.5019,
      0.39,
      0.5737,
      0.5788,
      0.6741,
      0.5676,
      0.4117,
      0.3162,
      0.3869,
      0.5513,
      0.6434,
      0.5564,
      0.5877,
      0.4335,
      0.5045,
      0.4487,
      0.4949,
      0.5829,
      0.6067,
      0.3727,
      0.5708,
      0.4203,
      0.5209,
      0.5937,
      0.396,
      0.7324,
      0.3816,
      0.387,
      0.271,
      0.6732,
      0.3407,
      0.5157,
      0.5257,
      0.4254,
      0.264,
      0.403,
      0.5223,
      0.6208,
      0.3851,
      0.6237,
      0.4346,
      0.5045,
      0.6597,
      0.4478,
      0.7941,
      0.4001,
      0.3513,
      0.599,
      0.5224,
      0.4406,
      0.6204,
      0.5057,
      0.5662,
      0.372,
      0.4659,
      0.5313,
      0.4614,
      0.5915,
      0.5222,
      0.616,
      0.5093,
      0.5487,
      0.64,
      0.4656,
      0.6004,
      0.4646,
      0.6044,
      0.4895,
      0.3985,
      0.596,
      0.5625,
      0.519,
      0.7229,
      0.5904,
      0.5445,
      0.4593,
      0.5565,
      0.4952,
      0.5892,
      0.6451,
      0.6388,
      0.4727,
      0.4764,
      0.3139,
      0.3428,
      0.5093,
      0.5364,
      0.6256,
      0.6313,
      0.5692,
      0.5162,
      0.4203,
      0.4305,
      0.635,
      0.5543,
      0.3975,
      0.3804,
      0.2586,
      0.3263,
      0.2495,
      0.4983,
      0.2397,
      0.2685,
      0.0466,
      0.0708,
      0,
      0,
      0,
      0,
      0,
      0,
      0.4384,
      0.1847,
      0.2019,
      0.4991,
      0.3486,
      0.5001,
      0.1224,
      0.2348,
      0.5482,
      0.4197,
      0.284,
      0.2625,
      0.7082,
      0.6962,
      0.3593,
      0.1081,
      0.2622,
      0.147,
      0.3093,
      0.1294,
      0.3344,
      0.1943,
      0,
      0.3608,
      0.3975,
      0.3151,
      0.4603,
      0.4055,
      0.5603,
      0.4275,
      0.3113,
      0.2575,
      0.298,
      0.4619,
      0.5086,
      0.3863,
      0.3584,
      0.4884,
      0.342,
      0.5406,
      0.3647,
      0.3803,
      0.3978,
      0.43,
      0.5456,
      0.3708,
      0.3548,
      0.2892,
      0.4992,
      0.3468,
      0.299,
      0.3958,
      0.4477,
      0.4621,
      0.3877,
      0.432,
      0.2853,
      0.1226,
      0.3178,
      0.5722,
      0.4656,
      0.4119,
      0.3703,
      0.4704,
      0.7949,
      0.6514,
      0.5014,
      0.441,
      0.4407,
      0.337,
      0.563,
      0.286,
      0.3866,
      0.3051,
      0.2576,
      0.5578,
      0.5826,
      0.3806,
      0.4015,
      0.744,
      0.4804,
      0.4076,
      0.4299,
      0.7365,
      0.4028,
      0.3764,
      0.6371,
      0.2902,
      0.4564,
      0.2651,
      0.5848,
      0.6539,
      0.4806,
      0.4065,
      0.542,
      0.4272,
      0.6271,
      0.4252,
      0.468,
      0.492,
      0.3114,
      0.2732,
      0.3717,
      0.3071,
      0.3032,
      0.4253,
      0.2086,
      0.1643,
      0.3662,
      0.4289,
      0.4443,
      0.2914,
      0.3219,
      0.5262,
      0.5396,
      0.4506,
      0.3862,
      0.3853,
      0.4104,
      0.3634,
      0.347,
      0.5115,
      0.4921,
      0.3,
      0.2969,
      0.5194,
      0.2808,
      0.3448,
      0.4599,
      0.413,
      0.598,
      0.4538,
      0.5426,
      0.4226,
      0.3323,
      0.3766,
      0.4602,
      0.4721,
      0.3183,
      0.4239,
      0.5269,
      0.366,
      0.4327,
      0.5907,
      0.4523,
      0.3192,
      0.3442,
      0.4492,
      0.3973,
      0.507,
      0.2771,
      0.4323,
      0.3975,
      0.4558,
      0.2896,
      0.3121,
      0.4779,
      0.3467,
      0.5368,
      0.6184,
      0.7321,
      0.6269,
      0.3625,
      0.4953,
      0.4134,
      0.4161,
      0.4051,
      0.4614,
      0.4374,
      0.5692,
      0.5036,
      0.431,
      0.4107,
      0.4892,
      0.5034,
      0.6024,
      0.5473,
      0.5454,
      0.4049,
      0.3881,
      0.4853,
      0.3544,
      0.4684,
      0.332,
      0.4693,
      0.4048,
      0.493,
      0.6892,
      0.5463,
      0.4561,
      0.3685,
      0.4234,
      0.3817,
      0.6989,
      0.5044,
      0.4334,
      0.2093,
      0.3614,
      0.428,
      0.6636,
      0.5486,
      0.6026,
      0.7809,
      0.4018,
      0.3569,
      0.4732,
      0.5545,
      0.6237,
      0.3534,
      0.5584,
      0.432,
      0.462,
      0.5243,
      0.3959,
      0.7622,
      0.3393,
      0.2408,
      0.3083,
      0.6226,
      0.3881,
      0.3997,
      0.5005,
      0.3141,
      0.2441,
      0.4136,
      0.4861,
      0.7168,
      0.3649,
      0.3974,
      0.6431,
      0.6109,
      0.4151,
      0.3763,
      0.5714,
      0.4045,
      0.4035,
      0.5138,
      0.5746,
      0.4801,
      0.7005,
      0.4205,
      0.4443,
      0.4056,
      0.3886,
      0.4769,
      0.4013,
      0.5744,
      0.3578,
      0.6155,
      0.497,
      0.609,
      0.5108,
      0.4817,
      0.5516,
      0.5805,
      0.6525,
      0.5216,
      0.3883,
      0.5328,
      0.4691,
      0.4994,
      0.74,
      0.4884,
      0.4332,
      0.4932,
      0.593,
      0.4569,
      0.3787,
      0.5119,
      0.5066,
      0.3935,
      0.4448,
      0.31,
      0.3263,
      0.3713,
      0.4173,
      0.512,
      0.4641,
      0.4167,
      0.4213,
      0.2872,
      0.4257,
      0.6308,
      0.5088,
      0.3479,
      0.3725,
      0.2077,
      0.3134,
      0.2124,
      0.2628,
      0.1323,
      0,
      0,
      0.0722,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3017,
      0.2092,
      0.1838,
      0.6529,
      0.1812,
      0.4876,
      0.2317,
      0.4248,
      0.5479,
      0.3681,
      0.2612,
      0.2117,
      0.457,
      0.545,
      0.2539,
      0.1658,
      0.235,
      0.208,
      0.0723,
      0.211,
      0.1248,
      0.3867,
      0,
      0.3741,
      0.3379,
      0.3492,
      0.4363,
      0.4229,
      0.5609,
      0.4269,
      0.3603,
      0.2725,
      0.349,
      0.4214,
      0.4299,
      0.4204,
      0.4374,
      0.5056,
      0.485,
      0.3574,
      0.3065,
      0.1538,
      0.3813,
      0.502,
      0.6304,
      0.3132,
      0.3631,
      0.2837,
      0.2993,
      0.288,
      0.18,
      0.398,
      0.4548,
      0.6145,
      0.3522,
      0.5433,
      0.3259,
      0.1579,
      0.3067,
      0.6948,
      0.4894,
      0.4732,
      0.38,
      0.4199,
      0.8293,
      0.8497,
      0.5353,
      0.4554,
      0.4393,
      0.3055,
      0.7726,
      0.5892,
      0.5077,
      0.3494,
      0.2927,
      0.4036,
      0.3983,
      0.3412,
      0.576,
      0.4195,
      0.4819,
      0.4495,
      0.4669,
      0.4447,
      0.3779,
      0.5526,
      0.3452,
      0.3625,
      0.5807,
      0.3678,
      0.5456,
      0.4811,
      0.6193,
      0.3787,
      0.447,
      0.3604,
      0.5253,
      0.4399,
      0.4118,
      0.4553,
      0.3184,
      0.2344,
      0.4201,
      0.3291,
      0.3611,
      0.4435,
      0.2727,
      0.1277,
      0.2067,
      0.3715,
      0.5429,
      0.2506,
      0.2561,
      0.5143,
      0.5211,
      0.4029,
      0.4158,
      0.4346,
      0.4567,
      0.2097,
      0.375,
      0.349,
      0.5155,
      0.2816,
      0.5744,
      0.6871,
      0.3273,
      0.5185,
      0.5747,
      0.3086,
      0.4605,
      0.4379,
      0.4146,
      0.5925,
      0.5457,
      0.2782,
      0.4323,
      0.4911,
      0.3557,
      0.3791,
      0.5328,
      0.3872,
      0.4281,
      0.7238,
      0.4841,
      0.2961,
      0.3661,
      0.4994,
      0.6168,
      0.4532,
      0.3633,
      0.6049,
      0.3194,
      0.369,
      0.453,
      0.3925,
      0.4756,
      0.3898,
      0.5077,
      0.554,
      0.7491,
      0.4748,
      0.4119,
      0.3555,
      0.3944,
      0.3742,
      0.4053,
      0.5153,
      0.2985,
      0.5789,
      0.8111,
      0.4288,
      0.4518,
      0.4471,
      0.532,
      0.5092,
      0.4695,
      0.516,
      0.3713,
      0.6046,
      0.4486,
      0.4745,
      0.3878,
      0.3074,
      0.5918,
      0.3836,
      0.5367,
      0.6446,
      0.6485,
      0.4165,
      0.3924,
      0.4382,
      0.402,
      0.4599,
      0.4354,
      0.4124,
      0.2664,
      0.4277,
      0.4332,
      0.7237,
      0.4423,
      0.5566,
      0.7085,
      0.4056,
      0.4753,
      0.4566,
      0.4697,
      0.6268,
      0.5915,
      0.5359,
      0.3841,
      0.4644,
      0.5581,
      0.4774,
      0.4522,
      0.4155,
      0.2117,
      0.3186,
      0.4669,
      0.4801,
      0.3866,
      0.3281,
      0.262,
      0.3057,
      0.3496,
      0.4974,
      0.7273,
      0.4492,
      0.341,
      0.4079,
      0.6837,
      0.3378,
      0.3742,
      0.519,
      0.6811,
      0.465,
      0.5001,
      0.5383,
      0.5473,
      0.7553,
      0.4265,
      0.5509,
      0.4067,
      0.4495,
      0.4778,
      0.4383,
      0.3717,
      0.2966,
      0.5196,
      0.5884,
      0.667,
      0.4422,
      0.4066,
      0.3187,
      0.3906,
      0.5223,
      0.3428,
      0.5328,
      0.5549,
      0.4269,
      0.4819,
      0.7019,
      0.4789,
      0.4981,
      0.4402,
      0.4664,
      0.5194,
      0.4014,
      0.5102,
      0.4395,
      0.5271,
      0.7505,
      0.379,
      0.2841,
      0.4688,
      0.4494,
      0.4881,
      0.4174,
      0.4172,
      0.325,
      0.2811,
      0.4296,
      0.566,
      0.3027,
      0.4602,
      0.2246,
      0.283,
      0.1854,
      0.2221,
      0.3198,
      0.2961,
      0.0176,
      0,
      0.0149,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3799,
      0.2104,
      0.1585,
      0.6839,
      0.2587,
      0.3965,
      0.1161,
      0.4653,
      0.1777,
      0.2883,
      0.4287,
      0.2049,
      0.1701,
      0.3955,
      0.2773,
      0.2071,
      0.2531,
      0.1246,
      0.0109,
      0.2267,
      0.0583,
      0.2623,
      0.0477,
      0.3873,
      0.3503,
      0.3618,
      0.4434,
      0.6408,
      0.5038,
      0.5133,
      0.3324,
      0.3172,
      0.4832,
      0.5651,
      0.3259,
      0.4136,
      0.7105,
      0.4536,
      0.4002,
      0.2938,
      0.3901,
      0.2221,
      0.3773,
      0.5856,
      0.2425,
      0.3416,
      0.2767,
      0.4436,
      0.2509,
      0.6047,
      0.206,
      0.4988,
      0.4362,
      0.4544,
      0.3695,
      0.4596,
      0.1138,
      0.1752,
      0.2484,
      0.5215,
      0.5123,
      0.2202,
      0.3865,
      0.3056,
      0.7444,
      0.8107,
      0.8278,
      0.4523,
      0.6919,
      0.3116,
      0.758,
      0.4234,
      0.635,
      0.3058,
      0.6501,
      0.2741,
      0.3787,
      0.4069,
      0.6591,
      0.4717,
      0.6288,
      0.7649,
      0.6429,
      0.5386,
      0.4064,
      0.4722,
      0.3428,
      0.6053,
      0.6142,
      0.3901,
      0.5923,
      0.5638,
      0.607,
      0.3401,
      0.4936,
      0.3456,
      0.5851,
      0.5696,
      0.3412,
      0.411,
      0.272,
      0.2405,
      0.506,
      0.3832,
      0.7649,
      0.343,
      0.2355,
      0.255,
      0.2275,
      0.4372,
      0.5798,
      0.2841,
      0.3518,
      0.542,
      0.5038,
      0.318,
      0.6744,
      0.2573,
      0.6968,
      0.1938,
      0.5636,
      0.3692,
      0.6952,
      0.4318,
      0.7856,
      0.6129,
      0.3355,
      0.501,
      0.7043,
      0.5112,
      0.6425,
      0.4098,
      0.3127,
      0.6792,
      0.5733,
      0.2997,
      0.5556,
      0.4973,
      0.4618,
      0.3208,
      0.8077,
      0.4507,
      0.5241,
      0.65,
      0.2452,
      0.4108,
      0.4171,
      0.4771,
      0.5899,
      0.3469,
      0.3195,
      0.4803,
      0.4699,
      0.6435,
      0.6558,
      0.2759,
      0.4722,
      0.4151,
      0.5097,
      0.5744,
      0.7624,
      0.557,
      0.4561,
      0.3505,
      0.6099,
      0.6397,
      0.532,
      0.6372,
      0.4397,
      0.3618,
      0.8947,
      0.3873,
      0.5121,
      0.5317,
      0.5677,
      0.4451,
      0.487,
      0.5729,
      0.4797,
      0.8394,
      0.4586,
      0.4544,
      0.3981,
      0.237,
      0.4014,
      0.3824,
      0.5103,
      0.4958,
      0.6846,
      0.5111,
      0.3442,
      0.647,
      0.4105,
      0.6163,
      0.6283,
      0.6561,
      0.3016,
      0.6658,
      0.3735,
      0.6317,
      0.5408,
      0.6712,
      0.4828,
      0.4299,
      0.756,
      0.4754,
      0.4534,
      0.5716,
      0.4097,
      0.4285,
      0.5266,
      0.4859,
      0.544,
      0.4896,
      0.2887,
      0.6102,
      0.2851,
      0.2462,
      0.4245,
      0.5484,
      0.3756,
      0.2417,
      0.2215,
      0.4347,
      0.4603,
      0.4134,
      0.6594,
      0.3705,
      0.3476,
      0.2749,
      0.5066,
      0.4967,
      0.6124,
      0.5405,
      0.6762,
      0.6748,
      0.5403,
      0.4544,
      0.5177,
      0.7986,
      0.5836,
      0.5907,
      0.4452,
      0.5074,
      0.4646,
      0.3485,
      0.3397,
      0.3504,
      0.5576,
      0.6408,
      0.6038,
      0.461,
      0.4741,
      0.4329,
      0.4825,
      0.5087,
      0.582,
      0.6434,
      0.6426,
      0.6066,
      0.3993,
      0.4748,
      0.5414,
      0.5713,
      0.4473,
      0.6846,
      0.4084,
      0.4206,
      0.5266,
      0.4309,
      0.5396,
      0.8668,
      0.5091,
      0.3928,
      0.5731,
      0.3817,
      0.606,
      0.4337,
      0.679,
      0.4417,
      0.3669,
      0.6092,
      0.5702,
      0.2541,
      0.4414,
      0.2606,
      0.3428,
      0.2438,
      0.1901,
      0.2847,
      0.405,
      0,
      0.2876,
      0,
      0.1227,
      0,
      0,
      0,
      0,
      0,
      0.2885,
      0.24,
      0.1641,
      0.6226,
      0.22,
      0.3542,
      0.1044,
      0.3958,
      0.1094,
      0.3595,
      0.2832,
      0.0864,
      0.1512,
      0.3609,
      0.3061,
      0.1447,
      0.3372,
      0.0488,
      0,
      0.1377,
      0.0205,
      0.0588,
      0.0269,
      0.3088,
      0.4085,
      0.2392,
      0.49,
      0.4111,
      0.4272,
      0.3367,
      0.2426,
      0.276,
      0.3054,
      0.4391,
      0.4656,
      0.3375,
      0.5855,
      0.4731,
      0.5531,
      0.3729,
      0.3932,
      0.2053,
      0.3252,
      0.624,
      0.2844,
      0.3175,
      0.1712,
      0.3033,
      0.3723,
      0.3758,
      0.3399,
      0.4107,
      0.4663,
      0.517,
      0.3674,
      0.4063,
      0.2476,
      0.0744,
      0.2857,
      0.3056,
      0.5613,
      0.2753,
      0.399,
      0.3029,
      0.514,
      0.6776,
      0.8791,
      0.4571,
      0.4583,
      0.374,
      0.6126,
      0.2921,
      0.6267,
      0.3045,
      0.3235,
      0.3277,
      0.3377,
      0.5607,
      0.517,
      0.3218,
      0.5395,
      0.4233,
      0.4751,
      0.4483,
      0.2853,
      0.3675,
      0.3992,
      0.3055,
      0.3662,
      0.4018,
      0.4395,
      0.5343,
      0.4304,
      0.3432,
      0.4302,
      0.3997,
      0.5327,
      0.6661,
      0.4235,
      0.3906,
      0.1421,
      0.29,
      0.3626,
      0.3031,
      0.3726,
      0.3241,
      0.2523,
      0.1662,
      0.3158,
      0.3107,
      0.409,
      0.158,
      0.3439,
      0.5561,
      0.5597,
      0.5948,
      0.4332,
      0.2125,
      0.2984,
      0.2187,
      0.321,
      0.2827,
      0.5536,
      0.4006,
      0.6421,
      0.4263,
      0.3655,
      0.5043,
      0.5027,
      0.4088,
      0.4734,
      0.3578,
      0.4454,
      0.5578,
      0.38,
      0.3108,
      0.7032,
      0.5051,
      0.4922,
      0.3712,
      0.5684,
      0.3231,
      0.5656,
      0.6332,
      0.2931,
      0.2768,
      0.4168,
      0.4832,
      0.4624,
      0.5293,
      0.2985,
      0.547,
      0.4711,
      0.3858,
      0.3766,
      0.2587,
      0.4775,
      0.3291,
      0.473,
      0.5791,
      0.7989,
      0.7986,
      0.4958,
      0.4513,
      0.5976,
      0.3891,
      0.4017,
      0.5712,
      0.339,
      0.4288,
      0.8247,
      0.4295,
      0.4122,
      0.5902,
      0.4596,
      0.4184,
      0.8455,
      0.5573,
      0.4575,
      0.8057,
      0.4306,
      0.4878,
      0.4957,
      0.3877,
      0.3444,
      0.379,
      0.5294,
      0.4601,
      0.6399,
      0.5304,
      0.3387,
      0.4326,
      0.495,
      0.3854,
      0.3521,
      0.5936,
      0.2651,
      0.332,
      0.378,
      0.5634,
      0.5981,
      0.5449,
      0.3652,
      0.3814,
      0.6141,
      0.4554,
      0.4596,
      0.561,
      0.3438,
      0.3987,
      0.323,
      0.5776,
      0.5198,
      0.4963,
      0.38,
      0.3915,
      0.217,
      0.2352,
      0.3577,
      0.4035,
      0.4976,
      0.2766,
      0.297,
      0.3197,
      0.4188,
      0.5068,
      0.4968,
      0.2334,
      0.3675,
      0.3039,
      0.2611,
      0.389,
      0.3842,
      0.5114,
      0.409,
      0.6488,
      0.4642,
      0.4458,
      0.5328,
      0.7865,
      0.638,
      0.4066,
      0.5118,
      0.5926,
      0.505,
      0.3812,
      0.2829,
      0.2913,
      0.4866,
      0.6719,
      0.5395,
      0.4474,
      0.477,
      0.466,
      0.3609,
      0.6092,
      0.4107,
      0.5069,
      0.5017,
      0.5096,
      0.4803,
      0.4077,
      0.6163,
      0.4588,
      0.4649,
      0.4944,
      0.435,
      0.5086,
      0.5704,
      0.4358,
      0.448,
      0.8194,
      0.4392,
      0.3612,
      0.6906,
      0.4189,
      0.5835,
      0.4276,
      0.6193,
      0.35,
      0.2747,
      0.3771,
      0.3985,
      0.3336,
      0.4778,
      0.248,
      0.3179,
      0.2919,
      0.2224,
      0.241,
      0.2234,
      0.0469,
      0,
      0.0132,
      0,
      0,
      0,
      0,
      0,
      0,
      0.372,
      0.2271,
      0.2309,
      0.5794,
      0.2175,
      0.3531,
      0.022,
      0.312,
      0.1472,
      0.3155,
      0.2072,
      0.0487,
      0.2514,
      0.3373,
      0.261,
      0.1515,
      0.3834,
      0.0367,
      0,
      0.1932,
      0,
      0.1238,
      0,
      0.3021,
      0.4234,
      0.198,
      0.4336,
      0.344,
      0.4211,
      0.4003,
      0.298,
      0.2476,
      0.303,
      0.4519,
      0.4407,
      0.4108,
      0.3864,
      0.5042,
      0.6715,
      0.3095,
      0.4108,
      0.2515,
      0.222,
      0.6049,
      0.3046,
      0.2897,
      0.2159,
      0.2919,
      0.2891,
      0.4452,
      0.1894,
      0.3094,
      0.5355,
      0.5085,
      0.3029,
      0.3076,
      0.1789,
      0.1113,
      0.2697,
      0.2278,
      0.5608,
      0.2139,
      0.3664,
      0.2197,
      0.4953,
      0.492,
      0.5345,
      0.3912,
      0.4242,
      0.3508,
      0.4396,
      0.3852,
      0.4545,
      0.3415,
      0.3566,
      0.2418,
      0.3613,
      0.5378,
      0.4922,
      0.4041,
      0.526,
      0.3831,
      0.3834,
      0.3765,
      0.3914,
      0.4179,
      0.3279,
      0.3451,
      0.3378,
      0.4283,
      0.5034,
      0.4409,
      0.4635,
      0.2577,
      0.4427,
      0.6506,
      0.5445,
      0.4353,
      0.386,
      0.3697,
      0.2822,
      0.3243,
      0.3283,
      0.3254,
      0.306,
      0.323,
      0.1817,
      0.1077,
      0.2323,
      0.3695,
      0.3614,
      0.2564,
      0.2816,
      0.5564,
      0.5281,
      0.4252,
      0.4245,
      0.3486,
      0.3809,
      0.125,
      0.3289,
      0.2551,
      0.4698,
      0.2577,
      0.4133,
      0.2992,
      0.3547,
      0.4912,
      0.5833,
      0.3925,
      0.4549,
      0.4498,
      0.4108,
      0.4472,
      0.3938,
      0.3571,
      0.4384,
      0.3976,
      0.5843,
      0.3809,
      0.4836,
      0.4171,
      0.5378,
      0.618,
      0.3693,
      0.3316,
      0.386,
      0.5536,
      0.3785,
      0.2969,
      0.2967,
      0.4689,
      0.6134,
      0.3785,
      0.3545,
      0.379,
      0.4713,
      0.3572,
      0.5496,
      0.5791,
      0.8037,
      0.8011,
      0.4522,
      0.6779,
      0.3158,
      0.3404,
      0.3611,
      0.3477,
      0.3123,
      0.4002,
      0.4649,
      0.3447,
      0.3815,
      0.6233,
      0.4706,
      0.4436,
      0.8123,
      0.6047,
      0.4406,
      0.3902,
      0.3772,
      0.4536,
      0.5017,
      0.3956,
      0.3679,
      0.432,
      0.5668,
      0.4364,
      0.45,
      0.4291,
      0.4068,
      0.3982,
      0.473,
      0.4128,
      0.3576,
      0.5671,
      0.342,
      0.3671,
      0.3705,
      0.5962,
      0.565,
      0.5221,
      0.3704,
      0.4139,
      0.3298,
      0.4725,
      0.4628,
      0.5878,
      0.3588,
      0.3658,
      0.3951,
      0.4488,
      0.591,
      0.4889,
      0.3775,
      0.3119,
      0.1915,
      0.2423,
      0.232,
      0.4676,
      0.3704,
      0.3072,
      0.2066,
      0.2375,
      0.4079,
      0.4368,
      0.502,
      0.265,
      0.394,
      0.3384,
      0.2801,
      0.5867,
      0.393,
      0.4875,
      0.2603,
      0.6344,
      0.4314,
      0.5413,
      0.3974,
      0.7126,
      0.6551,
      0.4847,
      0.4971,
      0.6294,
      0.4528,
      0.3773,
      0.2656,
      0.434,
      0.4561,
      0.5856,
      0.5305,
      0.491,
      0.4462,
      0.427,
      0.3984,
      0.3835,
      0.3423,
      0.4162,
      0.4933,
      0.6102,
      0.4421,
      0.4462,
      0.6125,
      0.4361,
      0.4916,
      0.4447,
      0.3959,
      0.3803,
      0.5044,
      0.3485,
      0.5003,
      0.717,
      0.2838,
      0.29,
      0.483,
      0.4241,
      0.5347,
      0.4838,
      0.5225,
      0.3802,
      0.2816,
      0.4064,
      0.31,
      0.3423,
      0.4477,
      0.3133,
      0.3459,
      0.297,
      0.1466,
      0.316,
      0.1484,
      0.0216,
      0.0878,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3842,
      0.6035,
      0.3244,
      0.2272,
      0.2321,
      0.4496,
      0.1927,
      0.222,
      0.1324,
      0.3964,
      0.2668,
      0.0873,
      0.2658,
      0.2857,
      0.4828,
      0.1591,
      0.6965,
      0.0829,
      0.0394,
      0.1479,
      0.1785,
      0.1055,
      0,
      0.3314,
      0.5613,
      0.2676,
      0.4303,
      0.3321,
      0.445,
      0.423,
      0.3307,
      0.2614,
      0.2533,
      0.4742,
      0.4557,
      0.654,
      0.3103,
      0.4943,
      0.7158,
      0.433,
      0.5098,
      0.2979,
      0.342,
      0.5662,
      0.2858,
      0.3396,
      0.1856,
      0.3775,
      0.3588,
      0.335,
      0.2401,
      0.3111,
      0.8036,
      0.6842,
      0.3884,
      0.1872,
      0.1953,
      0.1198,
      0.2906,
      0.2033,
      0.5323,
      0.2624,
      0.604,
      0.2617,
      0.5249,
      0.4677,
      0.5265,
      0.374,
      0.506,
      0.5107,
      0.3742,
      0.5903,
      0.3614,
      0.2242,
      0.2828,
      0.4392,
      0.4418,
      0.5087,
      0.3981,
      0.5458,
      0.4446,
      0.4097,
      0.423,
      0.4991,
      0.4124,
      0.3945,
      0.4605,
      0.4186,
      0.3238,
      0.3982,
      0.4507,
      0.5906,
      0.428,
      0.6417,
      0.4496,
      0.684,
      0.5723,
      0.4716,
      0.379,
      0.3066,
      0.2235,
      0.4506,
      0.2549,
      0.2789,
      0.3292,
      0.5032,
      0.1617,
      0.1537,
      0.5746,
      0.3816,
      0.3305,
      0.221,
      0.2777,
      0.5781,
      0.5603,
      0.3699,
      0.4019,
      0.4039,
      0.3143,
      0.2128,
      0.4179,
      0.3462,
      0.4024,
      0.2848,
      0.311,
      0.3052,
      0.3219,
      0.4686,
      0.3753,
      0.5674,
      0.4067,
      0.4768,
      0.6019,
      0.3982,
      0.2995,
      0.2862,
      0.4438,
      0.5097,
      0.4497,
      0.3727,
      0.3891,
      0.4588,
      0.5224,
      0.5444,
      0.3484,
      0.3723,
      0.3774,
      0.6648,
      0.3622,
      0.4518,
      0.321,
      0.4047,
      0.2706,
      0.3542,
      0.2933,
      0.3108,
      0.5022,
      0.3381,
      0.5178,
      0.5868,
      0.8055,
      0.715,
      0.6575,
      0.7267,
      0.3043,
      0.3918,
      0.4185,
      0.3765,
      0.4214,
      0.2967,
      0.3915,
      0.3347,
      0.5054,
      0.5468,
      0.4022,
      0.7608,
      0.7262,
      0.634,
      0.4037,
      0.339,
      0.425,
      0.7415,
      0.4883,
      0.2932,
      0.3251,
      0.5665,
      0.5038,
      0.4801,
      0.4162,
      0.5163,
      0.4624,
      0.4734,
      0.4749,
      0.4233,
      0.4909,
      0.4528,
      0.2731,
      0.3993,
      0.4071,
      0.7271,
      0.5417,
      0.4199,
      0.4237,
      0.3821,
      0.4412,
      0.4276,
      0.5621,
      0.6491,
      0.3486,
      0.5237,
      0.3785,
      0.3832,
      0.6381,
      0.5992,
      0.3864,
      0.3571,
      0.3135,
      0.1893,
      0.3805,
      0.5436,
      0.3682,
      0.4812,
      0.5227,
      0.3868,
      0.4494,
      0.5608,
      0.4667,
      0.3573,
      0.5536,
      0.2105,
      0.3356,
      0.7279,
      0.2919,
      0.5531,
      0.2681,
      0.5744,
      0.4327,
      0.5452,
      0.5473,
      0.5953,
      0.5621,
      0.6239,
      0.4743,
      0.535,
      0.5329,
      0.4478,
      0.4196,
      0.4064,
      0.623,
      0.3529,
      0.5532,
      0.518,
      0.4406,
      0.4807,
      0.4445,
      0.4073,
      0.4697,
      0.4316,
      0.4807,
      0.6277,
      0.6691,
      0.4925,
      0.6038,
      0.5349,
      0.7685,
      0.5831,
      0.4253,
      0.3344,
      0.4744,
      0.4084,
      0.5273,
      0.5983,
      0.2984,
      0.286,
      0.4232,
      0.5556,
      0.5438,
      0.5365,
      0.5314,
      0.3272,
      0.23,
      0.3763,
      0.3428,
      0.5268,
      0.424,
      0.311,
      0.442,
      0.3918,
      0.1562,
      0.34,
      0.1889,
      0.0285,
      0.1657,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.6896,
      0.5656,
      0.4203,
      0.4629,
      0.2563,
      0.5121,
      0.22,
      0.2892,
      0.3486,
      0.4667,
      0.2774,
      0.0909,
      0.5647,
      0.3907,
      0.6051,
      0.6336,
      0.5044,
      0.3839,
      0.2083,
      0.1886,
      0.5233,
      0.3087,
      0,
      0.3388,
      0.6916,
      0.3041,
      0.6207,
      0.3624,
      0.5706,
      0.5092,
      0.313,
      0.2742,
      0.4297,
      0.557,
      0.4763,
      0.6016,
      0.4391,
      0.8983,
      0.8792,
      0.6149,
      0.6393,
      0.3766,
      0.3117,
      0.4394,
      0.28,
      0.3792,
      0.2877,
      0.4448,
      0.5031,
      0.3759,
      0.4729,
      0.3867,
      0.9134,
      0.7782,
      0.4925,
      0.4381,
      0.0945,
      0.1169,
      0.2338,
      0.3413,
      0.5112,
      0.3661,
      0.7262,
      0.4114,
      0.4782,
      0.4767,
      0.576,
      0.5826,
      0.7279,
      0.5334,
      0.6152,
      0.5111,
      0.6162,
      0.4739,
      0.5329,
      0.6503,
      0.6623,
      0.6398,
      0.5014,
      0.6482,
      0.5246,
      0.6317,
      0.6798,
      0.7753,
      0.7038,
      0.5951,
      0.6527,
      0.6012,
      0.5619,
      0.5636,
      0.5774,
      0.7584,
      0.4871,
      0.6733,
      0.6945,
      0.6848,
      0.6074,
      0.4837,
      0.4804,
      0.4374,
      0.2285,
      0.78,
      0.2476,
      0.3198,
      0.3904,
      0.504,
      0.1191,
      0.1718,
      0.676,
      0.3939,
      0.6355,
      0.4955,
      0.2942,
      0.5135,
      0.6328,
      0.31,
      0.4215,
      0.482,
      0.3637,
      0.274,
      0.4354,
      0.5903,
      0.4489,
      0.4165,
      0.2418,
      0.5286,
      0.3586,
      0.6193,
      0.5295,
      0.7879,
      0.6845,
      0.6244,
      0.6876,
      0.5812,
      0.6155,
      0.5603,
      0.5622,
      0.5054,
      0.5038,
      0.4252,
      0.404,
      0.815,
      0.6098,
      0.4899,
      0.4974,
      0.5277,
      0.3994,
      0.7375,
      0.535,
      0.6011,
      0.6743,
      0.6374,
      0.4987,
      0.459,
      0.4089,
      0.4611,
      0.6086,
      0.429,
      0.5251,
      0.6023,
      0.8049,
      0.7563,
      0.8148,
      0.6663,
      0.4204,
      0.5578,
      0.4258,
      0.2775,
      0.4985,
      0.3553,
      0.3983,
      0.4958,
      0.5147,
      0.5272,
      0.5388,
      0.8178,
      0.5873,
      0.6674,
      0.474,
      0.2929,
      0.4394,
      0.8274,
      0.425,
      0.3,
      0.3298,
      0.4385,
      0.5343,
      0.6339,
      0.4547,
      0.6465,
      0.5924,
      0.6845,
      0.5954,
      0.6793,
      0.6448,
      0.5414,
      0.5575,
      0.5955,
      0.6227,
      0.7968,
      0.6237,
      0.5409,
      0.64,
      0.5256,
      0.4159,
      0.5311,
      0.5825,
      0.6658,
      0.6051,
      0.6007,
      0.5389,
      0.6495,
      0.6775,
      0.6052,
      0.5755,
      0.4154,
      0.5811,
      0.308,
      0.5329,
      0.6937,
      0.4223,
      0.5953,
      0.6417,
      0.705,
      0.4381,
      0.4703,
      0.628,
      0.4087,
      0.6886,
      0.4673,
      0.2833,
      0.595,
      0.5202,
      0.7089,
      0.3533,
      0.5278,
      0.5745,
      0.8255,
      0.6045,
      0.6295,
      0.4981,
      0.6693,
      0.8163,
      0.562,
      0.6836,
      0.7342,
      0.638,
      0.5348,
      0.7323,
      0.5673,
      0.5285,
      0.6513,
      0.6727,
      0.6924,
      0.6424,
      0.6414,
      0.6474,
      0.5956,
      0.6196,
      0.6003,
      0.8482,
      0.7017,
      0.635,
      0.5864,
      0.8302,
      0.6531,
      0.6993,
      0.6582,
      0.6239,
      0.533,
      0.5955,
      0.5872,
      0.5487,
      0.399,
      0.5748,
      0.6242,
      0.5608,
      0.5842,
      0.6043,
      0.4233,
      0.3226,
      0.6056,
      0.5248,
      0.5183,
      0.4989,
      0.4469,
      0.5195,
      0.4893,
      0.3798,
      0.4154,
      0.3082,
      0.1155,
      0.1491,
      0.0147,
      0,
      0,
      0,
      0,
      0,
      0,
      0.6533,
      0.2979,
      0.221,
      0.5321,
      0.232,
      0.4299,
      0.1211,
      0.4243,
      0.5017,
      0.4734,
      0.3366,
      0.1109,
      0.3527,
      0.4802,
      0.4391,
      0.3608,
      0.2465,
      0.1596,
      0.1034,
      0.0278,
      0.186,
      0.3739,
      0.0256,
      0.3894,
      0.7911,
      0.2608,
      0.5671,
      0.3524,
      0.478,
      0.3802,
      0.4278,
      0.3349,
      0.2756,
      0.4711,
      0.4551,
      0.5117,
      0.4306,
      0.5539,
      0.524,
      0.4936,
      0.4903,
      0.3843,
      0.3584,
      0.542,
      0.5158,
      0.38,
      0.2767,
      0.4413,
      0.3249,
      0.4008,
      0.3111,
      0.3666,
      0.5204,
      0.4912,
      0.4663,
      0.4892,
      0.192,
      0.1342,
      0.2625,
      0.5791,
      0.3562,
      0.5035,
      0.5493,
      0.4155,
      0.5542,
      0.5218,
      0.4676,
      0.6799,
      0.6181,
      0.412,
      0.6938,
      0.4513,
      0.5684,
      0.4429,
      0.4542,
      0.4707,
      0.3954,
      0.5213,
      0.4553,
      0.4255,
      0.3773,
      0.5681,
      0.5676,
      0.5465,
      0.5225,
      0.4999,
      0.4274,
      0.437,
      0.5169,
      0.4995,
      0.5219,
      0.7782,
      0.4298,
      0.5352,
      0.5858,
      0.5837,
      0.4489,
      0.4458,
      0.3769,
      0.4014,
      0.2543,
      0.414,
      0.1971,
      0.3233,
      0.3801,
      0.3312,
      0.1854,
      0.1886,
      0.3024,
      0.4276,
      0.5526,
      0.5017,
      0.2548,
      0.4667,
      0.5537,
      0.3566,
      0.4853,
      0.5691,
      0.4054,
      0.2563,
      0.4322,
      0.3899,
      0.3531,
      0.2982,
      0.3177,
      0.2681,
      0.4378,
      0.6247,
      0.4028,
      0.5584,
      0.5811,
      0.5696,
      0.5825,
      0.4679,
      0.5201,
      0.4647,
      0.5271,
      0.5122,
      0.497,
      0.5556,
      0.4065,
      0.5519,
      0.6754,
      0.4437,
      0.4079,
      0.3945,
      0.4863,
      0.5753,
      0.5456,
      0.5524,
      0.5925,
      0.6063,
      0.4304,
      0.3089,
      0.3591,
      0.3841,
      0.4259,
      0.4317,
      0.5077,
      0.5745,
      0.74,
      0.5812,
      0.5409,
      0.3906,
      0.3836,
      0.4444,
      0.4319,
      0.4855,
      0.598,
      0.5322,
      0.354,
      0.4064,
      0.5098,
      0.541,
      0.6005,
      0.4292,
      0.4667,
      0.6597,
      0.4252,
      0.2806,
      0.4592,
      0.4395,
      0.4203,
      0.2582,
      0.4121,
      0.406,
      0.55,
      0.6035,
      0.4325,
      0.7142,
      0.6982,
      0.5519,
      0.4907,
      0.7661,
      0.5127,
      0.679,
      0.4045,
      0.4693,
      0.4437,
      0.5852,
      0.4997,
      0.5361,
      0.6888,
      0.3429,
      0.414,
      0.4058,
      0.6366,
      0.5231,
      0.4249,
      0.6067,
      0.4581,
      0.5424,
      0.6027,
      0.4864,
      0.6494,
      0.3396,
      0.4381,
      0.3054,
      0.577,
      0.3673,
      0.4279,
      0.5899,
      0.4713,
      0.4558,
      0.4718,
      0.5259,
      0.7217,
      0.3072,
      0.6559,
      0.476,
      0.4994,
      0.3628,
      0.5191,
      0.8765,
      0.4204,
      0.4517,
      0.4826,
      0.6025,
      0.572,
      0.495,
      0.4922,
      0.6269,
      0.7362,
      0.4747,
      0.4513,
      0.8804,
      0.5885,
      0.373,
      0.6526,
      0.3237,
      0.6263,
      0.5855,
      0.6117,
      0.5883,
      0.5912,
      0.6477,
      0.5333,
      0.5998,
      0.4456,
      0.5071,
      0.7755,
      0.5338,
      0.5801,
      0.4032,
      0.5552,
      0.5419,
      0.8703,
      0.4586,
      0.5745,
      0.548,
      0.4509,
      0.4549,
      0.4698,
      0.3409,
      0.5331,
      0.5245,
      0.6025,
      0.5683,
      0.4372,
      0.5344,
      0.2431,
      0.5183,
      0.4777,
      0.3828,
      0.3758,
      0.5104,
      0.3469,
      0.4217,
      0.3515,
      0.3536,
      0.2454,
      0.0844,
      0.0285,
      0.0206,
      0,
      0,
      0,
      0,
      0,
      0,
      0.4734,
      0.1906,
      0.1704,
      0.4799,
      0.1364,
      0.2476,
      0.0677,
      0.3785,
      0.2982,
      0.4681,
      0.3508,
      0.1334,
      0.1005,
      0.3258,
      0.3693,
      0.1827,
      0.3073,
      0.0097,
      0,
      0.1055,
      0.1271,
      0.1871,
      0,
      0.3881,
      0.4286,
      0.2629,
      0.4412,
      0.3573,
      0.2833,
      0.3883,
      0.4618,
      0.3185,
      0.2994,
      0.4933,
      0.4715,
      0.3738,
      0.3524,
      0.5017,
      0.343,
      0.2892,
      0.3195,
      0.2989,
      0.4047,
      0.5833,
      0.3868,
      0.3729,
      0.2168,
      0.5119,
      0.3631,
      0.5877,
      0.2732,
      0.3402,
      0.4316,
      0.3998,
      0.2588,
      0.4354,
      0.2507,
      0.0998,
      0.2067,
      0.3374,
      0.3169,
      0.4432,
      0.3275,
      0.4354,
      0.5853,
      0.5291,
      0.4605,
      0.5503,
      0.4706,
      0.2054,
      0.6638,
      0.4154,
      0.4451,
      0.3521,
      0.1847,
      0.348,
      0.2735,
      0.4629,
      0.4467,
      0.3714,
      0.4872,
      0.4785,
      0.4354,
      0.4687,
      0.4013,
      0.4494,
      0.3454,
      0.2534,
      0.4824,
      0.4911,
      0.5058,
      0.6945,
      0.4964,
      0.3537,
      0.4644,
      0.3637,
      0.4218,
      0.3629,
      0.3573,
      0.3818,
      0.3049,
      0.3973,
      0.1636,
      0.7133,
      0.3541,
      0.3553,
      0.2424,
      0.3544,
      0.236,
      0.5251,
      0.3935,
      0.744,
      0.364,
      0.4837,
      0.6089,
      0.5757,
      0.6638,
      0.6177,
      0.4138,
      0.2203,
      0.2354,
      0.3355,
      0.3817,
      0.4477,
      0.2065,
      0.4671,
      0.5607,
      0.6478,
      0.5935,
      0.391,
      0.5531,
      0.6512,
      0.4758,
      0.4179,
      0.2693,
      0.2912,
      0.4902,
      0.5136,
      0.4841,
      0.4599,
      0.4352,
      0.4506,
      0.6917,
      0.4098,
      0.4833,
      0.3732,
      0.516,
      0.5961,
      0.447,
      0.406,
      0.3668,
      0.6227,
      0.3422,
      0.314,
      0.4848,
      0.3115,
      0.4619,
      0.3821,
      0.5133,
      0.541,
      0.6471,
      0.5496,
      0.4382,
      0.4668,
      0.3846,
      0.4022,
      0.4633,
      0.5246,
      0.6649,
      0.4809,
      0.3949,
      0.5503,
      0.3701,
      0.5949,
      0.5241,
      0.326,
      0.4303,
      0.6539,
      0.606,
      0.281,
      0.4711,
      0.4611,
      0.4555,
      0.2477,
      0.4164,
      0.4136,
      0.5591,
      0.5905,
      0.5157,
      0.417,
      0.4256,
      0.5291,
      0.3985,
      0.7616,
      0.3872,
      0.4672,
      0.3151,
      0.3994,
      0.5214,
      0.6178,
      0.5103,
      0.3704,
      0.4325,
      0.3566,
      0.4771,
      0.4895,
      0.5607,
      0.4682,
      0.3429,
      0.3949,
      0.321,
      0.5216,
      0.5231,
      0.4256,
      0.6424,
      0.2778,
      0.2269,
      0.4255,
      0.5505,
      0.3438,
      0.4748,
      0.4827,
      0.372,
      0.2758,
      0.5084,
      0.5488,
      0.7477,
      0.354,
      0.5457,
      0.3963,
      0.4197,
      0.4359,
      0.5715,
      0.6587,
      0.3973,
      0.4191,
      0.6221,
      0.4772,
      0.6707,
      0.5231,
      0.4048,
      0.4589,
      0.41,
      0.373,
      0.5109,
      0.5741,
      0.5902,
      0.3936,
      0.4907,
      0.3525,
      0.6102,
      0.5963,
      0.4183,
      0.5532,
      0.464,
      0.6041,
      0.4153,
      0.4403,
      0.4952,
      0.5667,
      0.7182,
      0.6014,
      0.606,
      0.3981,
      0.4783,
      0.4157,
      0.5971,
      0.3634,
      0.4157,
      0.4469,
      0.4075,
      0.3064,
      0.283,
      0.2973,
      0.4868,
      0.4673,
      0.6217,
      0.4565,
      0.3929,
      0.4754,
      0.3328,
      0.4518,
      0.4535,
      0.3347,
      0.445,
      0.2681,
      0.1971,
      0.3971,
      0.1693,
      0.2859,
      0.1935,
      0.1103,
      0.0141,
      0.1563,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3553,
      0.1675,
      0.1219,
      0.4465,
      0.1726,
      0.2994,
      0.0399,
      0.3691,
      0.0246,
      0.4147,
      0.3,
      0.1307,
      0.1131,
      0.2785,
      0.2198,
      0.0767,
      0.3081,
      0,
      0.0005,
      0.1621,
      0,
      0.2178,
      0,
      0.375,
      0.5251,
      0.3143,
      0.3793,
      0.3618,
      0.3814,
      0.4515,
      0.405,
      0.3474,
      0.3348,
      0.5116,
      0.4809,
      0.4433,
      0.3482,
      0.4699,
      0.3443,
      0.2136,
      0.2062,
      0.2094,
      0.3665,
      0.654,
      0.2778,
      0.4178,
      0.2061,
      0.3129,
      0.3803,
      0.2884,
      0.2395,
      0.3388,
      0.3611,
      0.4162,
      0.3058,
      0.4109,
      0.2014,
      0.1222,
      0.2123,
      0.2859,
      0.4305,
      0.2616,
      0.2689,
      0.2775,
      0.6446,
      0.56,
      0.5668,
      0.448,
      0.5087,
      0.159,
      0.5356,
      0.5495,
      0.4302,
      0.2906,
      0.3132,
      0.3434,
      0.2982,
      0.5172,
      0.4757,
      0.3809,
      0.4907,
      0.5075,
      0.4294,
      0.4845,
      0.3398,
      0.4369,
      0.333,
      0.4817,
      0.3546,
      0.458,
      0.4063,
      0.5442,
      0.483,
      0.4029,
      0.4905,
      0.3705,
      0.4083,
      0.4452,
      0.3062,
      0.3838,
      0.3063,
      0.3773,
      0.2503,
      0.6341,
      0.3557,
      0.348,
      0.2227,
      0.1291,
      0.1832,
      0.3165,
      0.3888,
      0.4219,
      0.298,
      0.4658,
      0.5892,
      0.4537,
      0.4142,
      0.4142,
      0.4243,
      0.1596,
      0.3662,
      0.3244,
      0.4575,
      0.4961,
      0.2507,
      0.4134,
      0.7243,
      0.6483,
      0.5442,
      0.2716,
      0.3495,
      0.6878,
      0.3645,
      0.4736,
      0.2827,
      0.2856,
      0.6856,
      0.4595,
      0.405,
      0.6693,
      0.4176,
      0.4108,
      0.5574,
      0.404,
      0.4056,
      0.3312,
      0.5408,
      0.3846,
      0.475,
      0.4893,
      0.3714,
      0.4843,
      0.5457,
      0.4553,
      0.3471,
      0.2595,
      0.4696,
      0.3531,
      0.5317,
      0.6152,
      0.6454,
      0.4667,
      0.5043,
      0.4953,
      0.3448,
      0.4125,
      0.4296,
      0.5644,
      0.4384,
      0.3431,
      0.4423,
      0.5093,
      0.4678,
      0.6182,
      0.5111,
      0.4881,
      0.3127,
      0.6199,
      0.2902,
      0.3549,
      0.447,
      0.4119,
      0.3881,
      0.2873,
      0.3449,
      0.3332,
      0.5469,
      0.5766,
      0.4439,
      0.4937,
      0.4226,
      0.4283,
      0.3178,
      0.406,
      0.4587,
      0.5106,
      0.2966,
      0.3241,
      0.3943,
      0.517,
      0.6002,
      0.4416,
      0.3655,
      0.4226,
      0.4659,
      0.5038,
      0.5424,
      0.527,
      0.3362,
      0.3099,
      0.3971,
      0.5251,
      0.6077,
      0.4538,
      0.4038,
      0.271,
      0.2601,
      0.3974,
      0.3574,
      0.2465,
      0.5448,
      0.3532,
      0.3131,
      0.3009,
      0.4865,
      0.5419,
      0.7303,
      0.1882,
      0.5198,
      0.3336,
      0.3683,
      0.339,
      0.3215,
      0.5196,
      0.4189,
      0.4201,
      0.5903,
      0.5174,
      0.4735,
      0.525,
      0.3841,
      0.6093,
      0.4155,
      0.3566,
      0.4573,
      0.4482,
      0.4301,
      0.3881,
      0.4147,
      0.3364,
      0.7305,
      0.6076,
      0.4144,
      0.6191,
      0.4267,
      0.5875,
      0.554,
      0.4005,
      0.4825,
      0.4401,
      0.6173,
      0.4381,
      0.5752,
      0.4383,
      0.4812,
      0.3663,
      0.453,
      0.4009,
      0.4791,
      0.4325,
      0.4215,
      0.4117,
      0.295,
      0.2982,
      0.5032,
      0.4114,
      0.6342,
      0.3998,
      0.3913,
      0.4594,
      0.3937,
      0.4628,
      0.3966,
      0.2662,
      0.3741,
      0.278,
      0.1833,
      0.3534,
      0.2369,
      0.3774,
      0.1434,
      0,
      0,
      0.1129,
      0,
      0,
      0,
      0,
      0,
      0,
      0.4062,
      0.1803,
      0.1114,
      0.4189,
      0.2486,
      0.3667,
      0.2129,
      0.2947,
      0.1704,
      0.2886,
      0.2748,
      0.1505,
      0.1191,
      0.2653,
      0.2416,
      0.0899,
      0.3344,
      0.0123,
      0,
      0.2514,
      0,
      0.2184,
      0,
      0.368,
      0.3835,
      0.3616,
      0.4237,
      0.1771,
      0.379,
      0.4067,
      0.3866,
      0.3464,
      0.4299,
      0.5265,
      0.4806,
      0.4695,
      0.3106,
      0.4019,
      0.4131,
      0.1775,
      0.2874,
      0.1938,
      0.2414,
      0.6936,
      0.2821,
      0.3612,
      0.2042,
      0.2821,
      0.2842,
      0.3948,
      0.2806,
      0.3248,
      0.4254,
      0.4988,
      0.3744,
      0.3525,
      0.1591,
      0.1654,
      0.1983,
      0.2728,
      0.4755,
      0.266,
      0.2567,
      0.2625,
      0.5827,
      0.5582,
      0.4718,
      0.3267,
      0.6517,
      0.2457,
      0.3965,
      0.3416,
      0.3716,
      0.3943,
      0.4012,
      0.318,
      0.3821,
      0.5445,
      0.632,
      0.3371,
      0.5034,
      0.7649,
      0.3999,
      0.4111,
      0.3322,
      0.3648,
      0.3463,
      0.5538,
      0.3454,
      0.4363,
      0.3801,
      0.5183,
      0.5726,
      0.3767,
      0.3903,
      0.3661,
      0.4561,
      0.3361,
      0.3027,
      0.3752,
      0.306,
      0.2733,
      0.2545,
      0.2981,
      0.3359,
      0.413,
      0.1868,
      0.14,
      0.2245,
      0.3474,
      0.3621,
      0.2916,
      0.295,
      0.4241,
      0.5233,
      0.3365,
      0.436,
      0.3933,
      0.5958,
      0.2154,
      0.361,
      0.1826,
      0.3691,
      0.2642,
      0.2677,
      0.2657,
      0.3838,
      0.5383,
      0.4761,
      0.3552,
      0.5553,
      0.3993,
      0.4298,
      0.6171,
      0.3084,
      0.2938,
      0.4055,
      0.4745,
      0.4256,
      0.4295,
      0.3565,
      0.335,
      0.4781,
      0.2881,
      0.4198,
      0.3956,
      0.6449,
      0.3772,
      0.469,
      0.4001,
      0.3307,
      0.4151,
      0.2907,
      0.3403,
      0.5136,
      0.2501,
      0.4752,
      0.3967,
      0.5606,
      0.5143,
      0.6149,
      0.4923,
      0.4236,
      0.4262,
      0.4318,
      0.3578,
      0.4068,
      0.6486,
      0.3917,
      0.3011,
      0.6728,
      0.2537,
      0.4484,
      0.6076,
      0.6343,
      0.3992,
      0.2421,
      0.6373,
      0.3163,
      0.5319,
      0.4186,
      0.4675,
      0.4013,
      0.2446,
      0.3143,
      0.3725,
      0.5356,
      0.6053,
      0.5154,
      0.3782,
      0.4273,
      0.5979,
      0.373,
      0.4351,
      0.5339,
      0.4212,
      0.3658,
      0.6193,
      0.3015,
      0.409,
      0.5601,
      0.6423,
      0.3515,
      0.3332,
      0.6632,
      0.4504,
      0.462,
      0.4586,
      0.4374,
      0.2811,
      0.4498,
      0.4433,
      0.6009,
      0.4706,
      0.2592,
      0.2821,
      0.1524,
      0.2812,
      0.3136,
      0.2855,
      0.4125,
      0.3004,
      0.2174,
      0.2775,
      0.3671,
      0.4235,
      0.6764,
      0.2398,
      0.4496,
      0.2562,
      0.2722,
      0.3997,
      0.3808,
      0.4013,
      0.5676,
      0.4041,
      0.3486,
      0.5198,
      0.5185,
      0.6132,
      0.4336,
      0.3793,
      0.3817,
      0.5082,
      0.4493,
      0.3921,
      0.3321,
      0.2828,
      0.3479,
      0.4401,
      0.6568,
      0.4469,
      0.4138,
      0.3935,
      0.3692,
      0.2817,
      0.5531,
      0.4383,
      0.3215,
      0.3837,
      0.556,
      0.5196,
      0.5098,
      0.4538,
      0.4234,
      0.3657,
      0.4495,
      0.4484,
      0.3901,
      0.329,
      0.3703,
      0.6147,
      0.487,
      0.2275,
      0.4369,
      0.4249,
      0.6153,
      0.4144,
      0.3616,
      0.4207,
      0.2237,
      0.3664,
      0.4338,
      0.279,
      0.3579,
      0.1232,
      0.2369,
      0.3782,
      0.245,
      0.386,
      0.4116,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.4349,
      0.2099,
      0.1853,
      0.6044,
      0.1726,
      0.3541,
      0.2537,
      0.1813,
      0.1274,
      0.3083,
      0.2189,
      0.1061,
      0.1257,
      0.2811,
      0.3298,
      0.1172,
      0.5532,
      0.1995,
      0,
      0.2102,
      0.0632,
      0.3752,
      0,
      0.3267,
      0.2913,
      0.2055,
      0.4289,
      0.2285,
      0.3984,
      0.3459,
      0.4192,
      0.3346,
      0.3603,
      0.4112,
      0.4679,
      0.4139,
      0.4829,
      0.4136,
      0.3827,
      0.2109,
      0.2398,
      0.1404,
      0.2419,
      0.6434,
      0.1442,
      0.3868,
      0.22,
      0.3036,
      0.3447,
      0.5104,
      0.2917,
      0.361,
      0.4096,
      0.4846,
      0.372,
      0.3267,
      0.152,
      0.1507,
      0.2048,
      0.2992,
      0.4755,
      0.2974,
      0.2539,
      0.2816,
      0.4982,
      0.5373,
      0.5968,
      0.3808,
      0.6543,
      0.2381,
      0.4391,
      0.3667,
      0.407,
      0.3648,
      0.6193,
      0.3704,
      0.341,
      0.5163,
      0.561,
      0.4278,
      0.3548,
      0.8137,
      0.3949,
      0.3957,
      0.373,
      0.466,
      0.5012,
      0.276,
      0.2316,
      0.4436,
      0.4464,
      0.5563,
      0.4541,
      0.422,
      0.2977,
      0.4443,
      0.4787,
      0.4431,
      0.3851,
      0.3478,
      0.6837,
      0.293,
      0.2766,
      0.2834,
      0.258,
      0.2807,
      0.1405,
      0.1829,
      0.2655,
      0.3741,
      0.2817,
      0.4326,
      0.2273,
      0.4971,
      0.5249,
      0.2316,
      0.484,
      0.2944,
      0.4926,
      0.2053,
      0.5043,
      0.3125,
      0.3962,
      0.2642,
      0.2467,
      0.3585,
      0.3458,
      0.4451,
      0.42,
      0.2658,
      0.4361,
      0.4138,
      0.4022,
      0.6674,
      0.5203,
      0.1884,
      0.4354,
      0.445,
      0.3877,
      0.3821,
      0.3198,
      0.3667,
      0.6042,
      0.2361,
      0.4256,
      0.3349,
      0.6832,
      0.4767,
      0.4561,
      0.3848,
      0.3773,
      0.4221,
      0.2467,
      0.58,
      0.6406,
      0.2907,
      0.4097,
      0.3933,
      0.3979,
      0.4745,
      0.5872,
      0.4704,
      0.4449,
      0.5288,
      0.6515,
      0.3326,
      0.367,
      0.7758,
      0.4162,
      0.3345,
      0.7151,
      0.2335,
      0.4967,
      0.6311,
      0.6016,
      0.3744,
      0.3045,
      0.6163,
      0.3397,
      0.6581,
      0.4164,
      0.4378,
      0.5215,
      0.1984,
      0.3288,
      0.3633,
      0.5677,
      0.583,
      0.4615,
      0.416,
      0.3921,
      0.5882,
      0.4527,
      0.5411,
      0.3595,
      0.3504,
      0.3178,
      0.5548,
      0.3143,
      0.4268,
      0.4444,
      0.6179,
      0.31,
      0.3015,
      0.841,
      0.4567,
      0.4645,
      0.4457,
      0.546,
      0.4229,
      0.1916,
      0.3838,
      0.6046,
      0.4151,
      0.278,
      0.2067,
      0.1507,
      0.2861,
      0.2768,
      0.1995,
      0.3039,
      0.2839,
      0.3029,
      0.3276,
      0.321,
      0.4453,
      0.5145,
      0.2614,
      0.4375,
      0.2657,
      0.2711,
      0.6753,
      0.3589,
      0.4276,
      0.4732,
      0.6262,
      0.4116,
      0.4957,
      0.4407,
      0.6047,
      0.7076,
      0.5486,
      0.359,
      0.626,
      0.5215,
      0.432,
      0.3156,
      0.2476,
      0.2885,
      0.4731,
      0.5314,
      0.4849,
      0.3971,
      0.425,
      0.4896,
      0.3629,
      0.3584,
      0.4487,
      0.4012,
      0.4744,
      0.5036,
      0.6012,
      0.5402,
      0.485,
      0.4875,
      0.4691,
      0.4164,
      0.5221,
      0.4378,
      0.3616,
      0.3909,
      0.6386,
      0.6315,
      0.2783,
      0.5277,
      0.4361,
      0.554,
      0.5545,
      0.4139,
      0.406,
      0.2381,
      0.3504,
      0.3217,
      0.4151,
      0.3204,
      0.234,
      0.2335,
      0.3868,
      0.2192,
      0.4426,
      0.189,
      0,
      0.0121,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.5066,
      0.3507,
      0.2655,
      0.4364,
      0.2381,
      0.4059,
      0.0293,
      0.2396,
      0.1391,
      0.4482,
      0.2348,
      0.1311,
      0.4559,
      0.2416,
      0.3514,
      0.2123,
      0.5096,
      0.3248,
      0.1133,
      0.3237,
      0.2446,
      0.4703,
      0,
      0.2219,
      0.3689,
      0.2548,
      0.4279,
      0.2456,
      0.3116,
      0.4189,
      0.3357,
      0.3611,
      0.2853,
      0.4297,
      0.5085,
      0.5559,
      0.3351,
      0.4274,
      0.399,
      0.2097,
      0.3039,
      0.2352,
      0.1716,
      0.547,
      0.1808,
      0.3459,
      0.1752,
      0.3181,
      0.3782,
      0.3099,
      0.23,
      0.2645,
      0.3976,
      0.3608,
      0.2251,
      0.3088,
      0.1698,
      0.152,
      0.2295,
      0.3421,
      0.4625,
      0.3467,
      0.353,
      0.2764,
      0.5302,
      0.4586,
      0.4867,
      0.3906,
      0.4669,
      0.3771,
      0.5554,
      0.5004,
      0.4301,
      0.3843,
      0.2452,
      0.4373,
      0.4233,
      0.4223,
      0.4861,
      0.5165,
      0.3448,
      0.4871,
      0.3296,
      0.7183,
      0.4516,
      0.3856,
      0.5993,
      0.3482,
      0.3111,
      0.514,
      0.4466,
      0.5338,
      0.366,
      0.4312,
      0.3386,
      0.5283,
      0.4543,
      0.4428,
      0.3832,
      0.3407,
      0.6901,
      0.3312,
      0.2896,
      0.2815,
      0.3056,
      0.3724,
      0.1752,
      0.1397,
      0.2852,
      0.3402,
      0.4156,
      0.3085,
      0.2634,
      0.5245,
      0.5282,
      0.2971,
      0.4426,
      0.3017,
      0.3581,
      0.2281,
      0.4222,
      0.4063,
      0.4065,
      0.0934,
      0.2132,
      0.6033,
      0.3024,
      0.5111,
      0.4735,
      0.3406,
      0.4123,
      0.4381,
      0.4528,
      0.501,
      0.3717,
      0.3385,
      0.3851,
      0.5077,
      0.4022,
      0.4436,
      0.3699,
      0.3431,
      0.7119,
      0.2693,
      0.4824,
      0.3442,
      0.3611,
      0.3498,
      0.4202,
      0.4329,
      0.345,
      0.4612,
      0.2255,
      0.287,
      0.2973,
      0.2497,
      0.4,
      0.34,
      0.4422,
      0.4902,
      0.6298,
      0.724,
      0.3528,
      0.7115,
      0.5434,
      0.3704,
      0.3676,
      0.6809,
      0.3698,
      0.3539,
      0.5903,
      0.3879,
      0.4209,
      0.5812,
      0.4773,
      0.3802,
      0.5768,
      0.5657,
      0.3376,
      0.4126,
      0.3924,
      0.4658,
      0.4979,
      0.3376,
      0.3332,
      0.6799,
      0.48,
      0.6148,
      0.5159,
      0.3716,
      0.3987,
      0.3961,
      0.4252,
      0.3889,
      0.3887,
      0.4651,
      0.3007,
      0.2964,
      0.2892,
      0.4805,
      0.3867,
      0.5412,
      0.3548,
      0.2369,
      0.584,
      0.454,
      0.511,
      0.5061,
      0.2808,
      0.5296,
      0.3386,
      0.3732,
      0.6078,
      0.5107,
      0.2764,
      0.2148,
      0.2412,
      0.2532,
      0.22,
      0.2797,
      0.3349,
      0.2369,
      0.3179,
      0.2453,
      0.3655,
      0.4475,
      0.5084,
      0.2547,
      0.4822,
      0.2859,
      0.2949,
      0.7065,
      0.3587,
      0.4028,
      0.3855,
      0.3932,
      0.4338,
      0.5026,
      0.4494,
      0.5529,
      0.6787,
      0.7405,
      0.3487,
      0.7078,
      0.485,
      0.3396,
      0.3402,
      0.3214,
      0.3916,
      0.4882,
      0.503,
      0.5687,
      0.375,
      0.4829,
      0.4038,
      0.3814,
      0.37,
      0.4107,
      0.3176,
      0.4755,
      0.4319,
      0.5418,
      0.5186,
      0.4656,
      0.425,
      0.375,
      0.3474,
      0.4577,
      0.5237,
      0.4186,
      0.3816,
      0.6052,
      0.3937,
      0.2336,
      0.4884,
      0.5677,
      0.5335,
      0.4143,
      0.4631,
      0.2999,
      0.2358,
      0.3297,
      0.2567,
      0.4629,
      0.2735,
      0.2989,
      0.2006,
      0.4591,
      0.1933,
      0.4447,
      0.1631,
      0,
      0.0138,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.6747,
      0.6179,
      0.4214,
      0.4709,
      0.1601,
      0.4472,
      0.1697,
      0.3944,
      0.3484,
      0.3641,
      0.266,
      0.1865,
      0.4534,
      0.4128,
      0.7621,
      0.3019,
      0.5287,
      0.4176,
      0.2943,
      0.255,
      0.1557,
      0.2947,
      0,
      0.2959,
      0.3817,
      0.3144,
      0.3564,
      0.3108,
      0.3614,
      0.4427,
      0.3575,
      0.2733,
      0.3401,
      0.4907,
      0.514,
      0.6237,
      0.4312,
      0.513,
      0.4226,
      0.4614,
      0.4521,
      0.386,
      0.3339,
      0.5063,
      0.2336,
      0.3718,
      0.2042,
      0.3911,
      0.3814,
      0.3699,
      0.4462,
      0.5514,
      0.3659,
      0.3822,
      0.3013,
      0.2966,
      0.1708,
      0.1078,
      0.2159,
      0.4477,
      0.4551,
      0.4504,
      0.5722,
      0.363,
      0.5158,
      0.5412,
      0.3489,
      0.4882,
      0.6642,
      0.4274,
      0.5908,
      0.4593,
      0.4635,
      0.3563,
      0.2484,
      0.5537,
      0.603,
      0.5708,
      0.4899,
      0.641,
      0.4068,
      0.4343,
      0.7035,
      0.7093,
      0.578,
      0.3659,
      0.5524,
      0.5454,
      0.5318,
      0.5248,
      0.6058,
      0.5538,
      0.4151,
      0.3927,
      0.5978,
      0.5645,
      0.6022,
      0.3573,
      0.7052,
      0.4806,
      0.3409,
      0.5242,
      0.4267,
      0.3643,
      0.6986,
      0.4859,
      0.1796,
      0.1855,
      0.6666,
      0.4126,
      0.5127,
      0.3272,
      0.3046,
      0.5195,
      0.5391,
      0.5638,
      0.5383,
      0.2917,
      0.2907,
      0.2729,
      0.5928,
      0.5526,
      0.6493,
      0.3333,
      0.2389,
      0.581,
      0.3122,
      0.4293,
      0.7266,
      0.4164,
      0.5919,
      0.4284,
      0.6226,
      0.4307,
      0.4041,
      0.3404,
      0.4303,
      0.5155,
      0.5237,
      0.4321,
      0.3179,
      0.5014,
      0.6908,
      0.2926,
      0.6188,
      0.4036,
      0.3566,
      0.4578,
      0.4774,
      0.5609,
      0.3951,
      0.3963,
      0.482,
      0.3345,
      0.4112,
      0.4722,
      0.5439,
      0.334,
      0.5157,
      0.5603,
      0.5977,
      0.7217,
      0.614,
      0.7873,
      0.2953,
      0.6675,
      0.509,
      0.5057,
      0.4123,
      0.5205,
      0.3814,
      0.5053,
      0.4371,
      0.5304,
      0.4911,
      0.486,
      0.5492,
      0.5233,
      0.3199,
      0.2429,
      0.4083,
      0.4391,
      0.4791,
      0.4212,
      0.3758,
      0.6734,
      0.5492,
      0.5978,
      0.4687,
      0.4015,
      0.4499,
      0.721,
      0.4745,
      0.6441,
      0.5885,
      0.5321,
      0.4176,
      0.3793,
      0.3365,
      0.606,
      0.6045,
      0.5434,
      0.5642,
      0.4171,
      0.4361,
      0.5136,
      0.5433,
      0.6018,
      0.3669,
      0.5425,
      0.4422,
      0.5172,
      0.6076,
      0.5881,
      0.2833,
      0.4694,
      0.2349,
      0.2644,
      0.3431,
      0.3958,
      0.3102,
      0.4234,
      0.6758,
      0.4528,
      0.3959,
      0.456,
      0.5394,
      0.2148,
      0.6998,
      0.4551,
      0.3706,
      0.472,
      0.6329,
      0.561,
      0.3033,
      0.4217,
      0.5637,
      0.5785,
      0.5518,
      0.5417,
      0.6993,
      0.731,
      0.3861,
      0.7609,
      0.6341,
      0.5714,
      0.5971,
      0.4299,
      0.6118,
      0.4408,
      0.5881,
      0.5442,
      0.4207,
      0.5151,
      0.5927,
      0.3704,
      0.5558,
      0.4661,
      0.7166,
      0.546,
      0.4609,
      0.4761,
      0.53,
      0.5417,
      0.4472,
      0.5029,
      0.4123,
      0.4639,
      0.5606,
      0.5277,
      0.5057,
      0.6214,
      0.4245,
      0.3085,
      0.4962,
      0.6805,
      0.5559,
      0.4752,
      0.6851,
      0.4908,
      0.3511,
      0.5898,
      0.3232,
      0.3831,
      0.4676,
      0.3099,
      0.1937,
      0.4341,
      0.147,
      0.4676,
      0.3948,
      0.0972,
      0.1994,
      0,
      0.0189,
      0,
      0,
      0,
      0,
      0,
      0.6945,
      0.5603,
      0.4039,
      0.4395,
      0.125,
      0.228,
      0.1387,
      0.3255,
      0.3729,
      0.397,
      0.3323,
      0.2855,
      0.119,
      0.304,
      0.7302,
      0.2467,
      0.5236,
      0.4083,
      0.2876,
      0.2117,
      0.0294,
      0.135,
      0,
      0.3506,
      0.5999,
      0.3357,
      0.3868,
      0.3371,
      0.4158,
      0.4493,
      0.3687,
      0.3262,
      0.3398,
      0.4154,
      0.4904,
      0.4583,
      0.6498,
      0.5834,
      0.4236,
      0.5126,
      0.5907,
      0.4573,
      0.3676,
      0.5321,
      0.4285,
      0.3389,
      0.2114,
      0.3876,
      0.3328,
      0.362,
      0.4207,
      0.5314,
      0.3893,
      0.4896,
      0.4413,
      0.3253,
      0.1573,
      0.0318,
      0.2116,
      0.5243,
      0.3735,
      0.4993,
      0.6388,
      0.3234,
      0.48,
      0.4823,
      0.4669,
      0.6248,
      0.6342,
      0.4156,
      0.5872,
      0.3305,
      0.345,
      0.4334,
      0.3058,
      0.5844,
      0.5431,
      0.5948,
      0.5466,
      0.5559,
      0.4519,
      0.5252,
      0.6787,
      0.5057,
      0.6575,
      0.3053,
      0.3482,
      0.4854,
      0.4605,
      0.5037,
      0.4177,
      0.6287,
      0.4643,
      0.4154,
      0.6359,
      0.5616,
      0.5685,
      0.5467,
      0.7611,
      0.6494,
      0.3344,
      0.5107,
      0.3884,
      0.3421,
      0.4979,
      0.3572,
      0.1939,
      0.1403,
      0.4742,
      0.3882,
      0.4252,
      0.2768,
      0.3396,
      0.5063,
      0.5586,
      0.5359,
      0.5863,
      0.2171,
      0.3152,
      0.2472,
      0.5451,
      0.5464,
      0.6759,
      0.3334,
      0.3,
      0.5296,
      0.3654,
      0.4597,
      0.6051,
      0.4153,
      0.558,
      0.4899,
      0.4259,
      0.3764,
      0.4336,
      0.2941,
      0.528,
      0.4819,
      0.481,
      0.4348,
      0.4499,
      0.487,
      0.5457,
      0.335,
      0.6723,
      0.338,
      0.3689,
      0.4462,
      0.4836,
      0.5703,
      0.4937,
      0.5174,
      0.529,
      0.3102,
      0.3754,
      0.4915,
      0.5064,
      0.309,
      0.5071,
      0.4834,
      0.6443,
      0.6492,
      0.6542,
      0.6316,
      0.2734,
      0.6618,
      0.4627,
      0.4914,
      0.4607,
      0.6537,
      0.3568,
      0.4629,
      0.4564,
      0.5369,
      0.441,
      0.3481,
      0.5423,
      0.5484,
      0.2946,
      0.2688,
      0.4551,
      0.5503,
      0.4644,
      0.3424,
      0.4195,
      0.3244,
      0.5698,
      0.514,
      0.4655,
      0.516,
      0.4806,
      0.6877,
      0.5244,
      0.6316,
      0.5364,
      0.3685,
      0.4277,
      0.4778,
      0.6006,
      0.6087,
      0.5782,
      0.5506,
      0.4942,
      0.4005,
      0.4815,
      0.4265,
      0.6145,
      0.5319,
      0.3759,
      0.5556,
      0.3942,
      0.5323,
      0.6121,
      0.4658,
      0.4999,
      0.5457,
      0.2173,
      0.2763,
      0.4384,
      0.4994,
      0.2605,
      0.4105,
      0.5611,
      0.458,
      0.37,
      0.4929,
      0.5599,
      0.2458,
      0.7682,
      0.2666,
      0.4279,
      0.3631,
      0.5501,
      0.64,
      0.3766,
      0.3377,
      0.5479,
      0.5775,
      0.5278,
      0.6208,
      0.6339,
      0.7087,
      0.3114,
      0.7129,
      0.5885,
      0.5495,
      0.5807,
      0.4644,
      0.5614,
      0.4913,
      0.5583,
      0.5491,
      0.4765,
      0.5089,
      0.5468,
      0.5709,
      0.4242,
      0.4161,
      0.7197,
      0.5232,
      0.4555,
      0.4403,
      0.397,
      0.5263,
      0.528,
      0.6086,
      0.3542,
      0.725,
      0.6951,
      0.7241,
      0.6191,
      0.4885,
      0.4034,
      0.3157,
      0.5419,
      0.7603,
      0.639,
      0.7244,
      0.6894,
      0.6969,
      0.3533,
      0.3481,
      0.4181,
      0.3475,
      0.5169,
      0.3202,
      0.2368,
      0.3972,
      0.1484,
      0.4995,
      0.388,
      0.0514,
      0.2665,
      0,
      0.0757,
      0,
      0,
      0,
      0,
      0,
      0.5109,
      0.2388,
      0.1353,
      0.3423,
      0.091,
      0.2996,
      0.345,
      0.3471,
      0.0644,
      0.3258,
      0.3025,
      0.3682,
      0.0339,
      0.0706,
      0.5845,
      0.1619,
      0.2371,
      0.2024,
      0,
      0.2096,
      0.0367,
      0.2348,
      0,
      0.3545,
      0.5984,
      0.3013,
      0.3378,
      0.3192,
      0.439,
      0.4323,
      0.2652,
      0.2227,
      0.281,
      0.3342,
      0.4847,
      0.3956,
      0.3158,
      0.5603,
      0.6914,
      0.3814,
      0.3421,
      0.4893,
      0.3262,
      0.4864,
      0.2555,
      0.3665,
      0.217,
      0.4151,
      0.5652,
      0.4024,
      0.2492,
      0.3543,
      0.6671,
      0.6366,
      0.3282,
      0.3034,
      0.1726,
      0.0911,
      0.2727,
      0.3192,
      0.2689,
      0.3556,
      0.4907,
      0.3015,
      0.5046,
      0.4781,
      0.519,
      0.5095,
      0.5294,
      0.3698,
      0.4363,
      0.3618,
      0.333,
      0.485,
      0.2584,
      0.3497,
      0.2621,
      0.6193,
      0.475,
      0.3305,
      0.4708,
      0.4849,
      0.4055,
      0.4584,
      0.3096,
      0.4448,
      0.2795,
      0.183,
      0.3325,
      0.4406,
      0.364,
      0.6299,
      0.3651,
      0.6743,
      0.5866,
      0.4607,
      0.4594,
      0.5487,
      0.3991,
      0.5476,
      0.2718,
      0.2597,
      0.3628,
      0.3212,
      0.3454,
      0.2852,
      0.2027,
      0.1706,
      0.2707,
      0.2855,
      0.3619,
      0.1947,
      0.2505,
      0.4671,
      0.5565,
      0.336,
      0.4993,
      0.399,
      0.3607,
      0.282,
      0.4211,
      0.2613,
      0.4625,
      0.2931,
      0.3203,
      0.2008,
      0.3293,
      0.4407,
      0.5935,
      0.34,
      0.3274,
      0.4734,
      0.3105,
      0.3671,
      0.2157,
      0.3034,
      0.6568,
      0.5373,
      0.4394,
      0.4133,
      0.3914,
      0.3351,
      0.3798,
      0.2265,
      0.5002,
      0.4062,
      0.3102,
      0.4615,
      0.4305,
      0.4301,
      0.3351,
      0.4696,
      0.2492,
      0.3139,
      0.2762,
      0.3189,
      0.3894,
      0.2303,
      0.4713,
      0.5175,
      0.6078,
      0.5657,
      0.4503,
      0.3245,
      0.4072,
      0.3764,
      0.4481,
      0.4489,
      0.5155,
      0.5672,
      0.3777,
      0.3023,
      0.452,
      0.5056,
      0.4826,
      0.6893,
      0.4664,
      0.5059,
      0.3224,
      0.2973,
      0.4604,
      0.7839,
      0.3628,
      0.2764,
      0.3244,
      0.3974,
      0.5214,
      0.5298,
      0.3869,
      0.4929,
      0.525,
      0.5213,
      0.4412,
      0.4801,
      0.3225,
      0.3159,
      0.3988,
      0.3837,
      0.5449,
      0.462,
      0.4935,
      0.4589,
      0.2706,
      0.4304,
      0.4745,
      0.4126,
      0.6552,
      0.4834,
      0.4915,
      0.2641,
      0.2475,
      0.476,
      0.5817,
      0.4376,
      0.5581,
      0.2471,
      0.3933,
      0.2584,
      0.5176,
      0.5609,
      0.259,
      0.3797,
      0.3736,
      0.3602,
      0.4116,
      0.3982,
      0.5004,
      0.3043,
      0.7108,
      0.2704,
      0.4202,
      0.2588,
      0.2783,
      0.7351,
      0.26,
      0.387,
      0.4458,
      0.6836,
      0.5306,
      0.5134,
      0.4944,
      0.6417,
      0.4708,
      0.4449,
      0.6036,
      0.4769,
      0.6073,
      0.379,
      0.4633,
      0.3261,
      0.5733,
      0.6015,
      0.4295,
      0.4352,
      0.4511,
      0.5637,
      0.3583,
      0.4145,
      0.4985,
      0.4844,
      0.6937,
      0.3951,
      0.5878,
      0.3817,
      0.7297,
      0.4036,
      0.476,
      0.6131,
      0.5466,
      0.5907,
      0.533,
      0.3843,
      0.4288,
      0.3604,
      0.5135,
      0.5624,
      0.6245,
      0.4328,
      0.3951,
      0.6322,
      0.2652,
      0.4284,
      0.4178,
      0.327,
      0.4028,
      0.243,
      0.2758,
      0.3743,
      0.2249,
      0.4005,
      0.135,
      0.0259,
      0,
      0.0271,
      0,
      0,
      0,
      0,
      0,
      0,
      0.4805,
      0.183,
      0.1542,
      0.2695,
      0.126,
      0.2766,
      0.2538,
      0.2653,
      0.1683,
      0.2911,
      0.2684,
      0.2892,
      0.0753,
      0.1917,
      0.4644,
      0.1352,
      0.2506,
      0.1834,
      0,
      0.2495,
      0,
      0.1647,
      0,
      0.3464,
      0.3076,
      0.229,
      0.3903,
      0.2618,
      0.4074,
      0.4482,
      0.4201,
      0.3254,
      0.3001,
      0.3617,
      0.4675,
      0.4465,
      0.3131,
      0.624,
      0.5321,
      0.2121,
      0.2212,
      0.4102,
      0.3402,
      0.5388,
      0.2426,
      0.4079,
      0.2246,
      0.3114,
      0.5861,
      0.3086,
      0.1978,
      0.3413,
      0.3805,
      0.5477,
      0.3056,
      0.2125,
      0.0789,
      0.1411,
      0.2709,
      0.2827,
      0.2704,
      0.132,
      0.3211,
      0.3235,
      0.5406,
      0.4756,
      0.5298,
      0.4719,
      0.4908,
      0.344,
      0.2736,
      0.5099,
      0.4104,
      0.4926,
      0.1912,
      0.3043,
      0.3223,
      0.6234,
      0.3888,
      0.262,
      0.4838,
      0.4622,
      0.3446,
      0.4072,
      0.307,
      0.4996,
      0.2884,
      0.2859,
      0.2803,
      0.3217,
      0.4322,
      0.5508,
      0.3618,
      0.4321,
      0.4816,
      0.367,
      0.5768,
      0.3716,
      0.4332,
      0.4653,
      0.2945,
      0.2893,
      0.2119,
      0.3528,
      0.3026,
      0.2764,
      0.1975,
      0.2051,
      0.2001,
      0.3662,
      0.5898,
      0.278,
      0.2427,
      0.439,
      0.6251,
      0.3415,
      0.4206,
      0.3803,
      0.3318,
      0.2174,
      0.4314,
      0.3191,
      0.3745,
      0.2213,
      0.2831,
      0.3334,
      0.3683,
      0.5499,
      0.5245,
      0.381,
      0.4207,
      0.512,
      0.4054,
      0.3587,
      0.4826,
      0.3388,
      0.3887,
      0.5307,
      0.3864,
      0.4159,
      0.371,
      0.3178,
      0.3725,
      0.4095,
      0.4851,
      0.4427,
      0.3041,
      0.4672,
      0.3947,
      0.275,
      0.3224,
      0.294,
      0.3329,
      0.2773,
      0.327,
      0.3147,
      0.378,
      0.308,
      0.4903,
      0.5366,
      0.6084,
      0.4699,
      0.4835,
      0.341,
      0.4073,
      0.3048,
      0.3905,
      0.376,
      0.5451,
      0.4012,
      0.2729,
      0.3558,
      0.2649,
      0.5295,
      0.5617,
      0.5124,
      0.4511,
      0.4468,
      0.3726,
      0.2783,
      0.4467,
      0.585,
      0.3526,
      0.278,
      0.2599,
      0.4356,
      0.4912,
      0.6114,
      0.4744,
      0.6485,
      0.7247,
      0.5162,
      0.4161,
      0.4895,
      0.3418,
      0.3763,
      0.3766,
      0.3483,
      0.323,
      0.4778,
      0.3463,
      0.5627,
      0.2891,
      0.3669,
      0.4243,
      0.3992,
      0.5692,
      0.4565,
      0.4679,
      0.3043,
      0.2629,
      0.477,
      0.6031,
      0.3764,
      0.5837,
      0.1489,
      0.4446,
      0.2994,
      0.4872,
      0.4587,
      0.2865,
      0.3523,
      0.1977,
      0.4197,
      0.4738,
      0.379,
      0.5617,
      0.3593,
      0.4512,
      0.2802,
      0.27,
      0.3497,
      0.3187,
      0.48,
      0.3369,
      0.3555,
      0.4992,
      0.7796,
      0.516,
      0.5478,
      0.3995,
      0.5352,
      0.6552,
      0.4389,
      0.8511,
      0.6596,
      0.6238,
      0.395,
      0.5524,
      0.3205,
      0.6238,
      0.4834,
      0.3895,
      0.3814,
      0.3436,
      0.4288,
      0.3376,
      0.3576,
      0.4898,
      0.4969,
      0.746,
      0.4139,
      0.6165,
      0.4063,
      0.6164,
      0.3763,
      0.6989,
      0.8153,
      0.4798,
      0.5043,
      0.5079,
      0.3928,
      0.3987,
      0.3977,
      0.4818,
      0.4699,
      0.68,
      0.5716,
      0.4587,
      0.5643,
      0.3178,
      0.4038,
      0.4498,
      0.2951,
      0.3843,
      0.451,
      0.312,
      0.3872,
      0.208,
      0.2287,
      0.1432,
      0.0403,
      0.0606,
      0.0207,
      0,
      0,
      0,
      0,
      0,
      0,
      0.4654,
      0.2532,
      0.1523,
      0.4298,
      0.1841,
      0.1808,
      0.1941,
      0.2026,
      0.108,
      0.2748,
      0.2713,
      0.3362,
      0.106,
      0.2364,
      0.2785,
      0.1114,
      0.4941,
      0.3689,
      0.0173,
      0.2738,
      0.0574,
      0.2601,
      0,
      0.3507,
      0.3162,
      0.2827,
      0.3807,
      0.2449,
      0.3273,
      0.4089,
      0.4068,
      0.3081,
      0.3526,
      0.4668,
      0.4574,
      0.5243,
      0.3609,
      0.4393,
      0.2732,
      0.213,
      0.2468,
      0.2686,
      0.3298,
      0.5358,
      0.2613,
      0.3838,
      0.1774,
      0.3591,
      0.3622,
      0.3325,
      0.1782,
      0.3407,
      0.3049,
      0.3202,
      0.2917,
      0.2547,
      0.1299,
      0.158,
      0.1652,
      0.3442,
      0.2789,
      0.1748,
      0.2381,
      0.3179,
      0.473,
      0.5374,
      0.4538,
      0.3553,
      0.5217,
      0.3395,
      0.4606,
      0.3968,
      0.4518,
      0.5316,
      0.381,
      0.3177,
      0.3304,
      0.6108,
      0.5261,
      0.3551,
      0.4314,
      0.4775,
      0.3786,
      0.3553,
      0.3198,
      0.4088,
      0.4994,
      0.5216,
      0.3523,
      0.4465,
      0.4118,
      0.5308,
      0.4046,
      0.4662,
      0.3909,
      0.3709,
      0.5147,
      0.3566,
      0.3518,
      0.4523,
      0.3409,
      0.3537,
      0.2255,
      0.3465,
      0.3504,
      0.2024,
      0.1238,
      0.1427,
      0.1949,
      0.3334,
      0.3281,
      0.354,
      0.2405,
      0.478,
      0.5311,
      0.3727,
      0.4591,
      0.5255,
      0.3615,
      0.1973,
      0.376,
      0.3419,
      0.3456,
      0.2085,
      0.3506,
      0.2125,
      0.3201,
      0.545,
      0.4848,
      0.4634,
      0.358,
      0.4644,
      0.4441,
      0.4171,
      0.3473,
      0.3729,
      0.4008,
      0.5559,
      0.3734,
      0.4502,
      0.4364,
      0.2834,
      0.3579,
      0.5607,
      0.4344,
      0.339,
      0.3549,
      0.5568,
      0.3475,
      0.3622,
      0.3487,
      0.3172,
      0.4023,
      0.3165,
      0.3149,
      0.3267,
      0.3603,
      0.3575,
      0.5489,
      0.5158,
      0.5472,
      0.4488,
      0.4634,
      0.4275,
      0.4148,
      0.4461,
      0.386,
      0.3815,
      0.7164,
      0.395,
      0.3454,
      0.3862,
      0.3435,
      0.5772,
      0.4783,
      0.3944,
      0.4048,
      0.4737,
      0.4038,
      0.3302,
      0.4161,
      0.4212,
      0.3802,
      0.3713,
      0.3581,
      0.4333,
      0.52,
      0.6644,
      0.4315,
      0.5761,
      0.8695,
      0.522,
      0.3381,
      0.3601,
      0.535,
      0.4299,
      0.3889,
      0.3722,
      0.3601,
      0.3632,
      0.3743,
      0.5208,
      0.3426,
      0.3946,
      0.4747,
      0.4493,
      0.4893,
      0.4564,
      0.3482,
      0.4009,
      0.401,
      0.4067,
      0.6054,
      0.4624,
      0.3282,
      0.3439,
      0.2145,
      0.2737,
      0.1939,
      0.309,
      0.3609,
      0.217,
      0.2384,
      0.3588,
      0.4622,
      0.4737,
      0.5983,
      0.3222,
      0.3645,
      0.2331,
      0.2956,
      0.4842,
      0.2529,
      0.3838,
      0.3752,
      0.3804,
      0.4824,
      0.5201,
      0.5267,
      0.548,
      0.366,
      0.5435,
      0.4266,
      0.411,
      0.5736,
      0.7475,
      0.4549,
      0.4053,
      0.5137,
      0.3183,
      0.6776,
      0.5176,
      0.4529,
      0.3898,
      0.3565,
      0.4302,
      0.5799,
      0.3885,
      0.4955,
      0.5148,
      0.6606,
      0.4231,
      0.6266,
      0.4141,
      0.3979,
      0.4285,
      0.6151,
      0.4938,
      0.5351,
      0.4853,
      0.5035,
      0.3713,
      0.3401,
      0.3924,
      0.4636,
      0.4868,
      0.6684,
      0.51,
      0.4553,
      0.4542,
      0.3962,
      0.4175,
      0.4486,
      0.341,
      0.307,
      0.4285,
      0.3465,
      0.4318,
      0.2897,
      0.3583,
      0.1687,
      0.0879,
      0.0048,
      0.028,
      0,
      0,
      0,
      0,
      0,
      0,
      0.4096,
      0.2452,
      0.1057,
      0.6156,
      0.2096,
      0.2413,
      0.2153,
      0.3286,
      0.2004,
      0.2901,
      0.2219,
      0.3754,
      0.1531,
      0.2527,
      0.4465,
      0.2433,
      0.579,
      0.4525,
      0.1194,
      0.3388,
      0.2674,
      0.4455,
      0,
      0.2993,
      0.3383,
      0.2881,
      0.4464,
      0.2542,
      0.4432,
      0.3894,
      0.3602,
      0.334,
      0.2416,
      0.3076,
      0.46,
      0.3652,
      0.2809,
      0.3737,
      0.2708,
      0.1966,
      0.2813,
      0.2872,
      0.3374,
      0.5202,
      0.2618,
      0.3956,
      0.2303,
      0.3317,
      0.3449,
      0.4465,
      0.2388,
      0.4003,
      0.322,
      0.3376,
      0.23,
      0.2944,
      0.1982,
      0.1103,
      0.2129,
      0.3207,
      0.3139,
      0.2185,
      0.2492,
      0.2539,
      0.5747,
      0.5601,
      0.3847,
      0.3732,
      0.4711,
      0.3081,
      0.5561,
      0.2463,
      0.3761,
      0.5157,
      0.3054,
      0.3864,
      0.3865,
      0.5909,
      0.5291,
      0.4481,
      0.3327,
      0.4426,
      0.3923,
      0.3798,
      0.4583,
      0.3532,
      0.5547,
      0.3554,
      0.2847,
      0.4251,
      0.4158,
      0.4856,
      0.5264,
      0.4511,
      0.3862,
      0.4627,
      0.4517,
      0.3062,
      0.3722,
      0.3534,
      0.2854,
      0.5276,
      0.2584,
      0.598,
      0.326,
      0.318,
      0.1951,
      0.181,
      0.2977,
      0.2876,
      0.3218,
      0.6937,
      0.2609,
      0.4894,
      0.5988,
      0.5059,
      0.3711,
      0.5198,
      0.416,
      0.2004,
      0.3147,
      0.3464,
      0.3217,
      0.2498,
      0.5336,
      0.2492,
      0.387,
      0.4579,
      0.5521,
      0.5694,
      0.4889,
      0.5357,
      0.3313,
      0.4743,
      0.2221,
      0.2809,
      0.4424,
      0.4898,
      0.356,
      0.4204,
      0.446,
      0.3005,
      0.3659,
      0.6195,
      0.3215,
      0.3558,
      0.377,
      0.6275,
      0.398,
      0.2436,
      0.3165,
      0.4273,
      0.3043,
      0.3621,
      0.3994,
      0.3284,
      0.4066,
      0.3734,
      0.4553,
      0.5576,
      0.6046,
      0.4536,
      0.423,
      0.5206,
      0.4235,
      0.397,
      0.3927,
      0.4661,
      0.8274,
      0.461,
      0.6727,
      0.2909,
      0.4123,
      0.5901,
      0.5501,
      0.3562,
      0.3253,
      0.4276,
      0.2841,
      0.4108,
      0.4381,
      0.3525,
      0.4343,
      0.3085,
      0.3864,
      0.4389,
      0.5344,
      0.587,
      0.452,
      0.3493,
      0.5243,
      0.4479,
      0.3051,
      0.4151,
      0.3352,
      0.352,
      0.3919,
      0.3528,
      0.3345,
      0.3372,
      0.3902,
      0.4711,
      0.3595,
      0.3074,
      0.4552,
      0.3955,
      0.5581,
      0.5884,
      0.3081,
      0.4789,
      0.314,
      0.3874,
      0.497,
      0.4717,
      0.1774,
      0.3135,
      0.1727,
      0.285,
      0.2121,
      0.4794,
      0.3765,
      0.2656,
      0.3093,
      0.4171,
      0.4242,
      0.422,
      0.5924,
      0.2441,
      0.405,
      0.3313,
      0.2251,
      0.6106,
      0.442,
      0.3844,
      0.572,
      0.4434,
      0.6038,
      0.4907,
      0.8238,
      0.5905,
      0.4481,
      0.4145,
      0.2936,
      0.3943,
      0.4675,
      0.4697,
      0.4026,
      0.3925,
      0.3513,
      0.38,
      0.5543,
      0.4892,
      0.3744,
      0.4467,
      0.3395,
      0.343,
      0.3736,
      0.3811,
      0.5334,
      0.392,
      0.5292,
      0.5565,
      0.4789,
      0.4326,
      0.4436,
      0.5695,
      0.4242,
      0.4474,
      0.4915,
      0.4777,
      0.3264,
      0.5292,
      0.344,
      0.321,
      0.5242,
      0.5275,
      0.6078,
      0.3634,
      0.4772,
      0.3817,
      0.2889,
      0.3495,
      0.4507,
      0.396,
      0.2599,
      0.3389,
      0.4259,
      0.3515,
      0.2204,
      0.4138,
      0.3672,
      0.0228,
      0,
      0.1274,
      0,
      0,
      0,
      0,
      0,
      0,
      0.4152,
      0.1749,
      0.1774,
      0.498,
      0.1551,
      0.389,
      0.2333,
      0.3169,
      0.3039,
      0.3562,
      0.3744,
      0.3666,
      0.4322,
      0.3233,
      0.336,
      0.3019,
      0.2105,
      0.2113,
      0.1959,
      0.3607,
      0.5408,
      0.3483,
      0,
      0.2418,
      0.2954,
      0.3448,
      0.3681,
      0.474,
      0.4458,
      0.42,
      0.3725,
      0.3951,
      0.3425,
      0.31,
      0.4352,
      0.4636,
      0.4005,
      0.3838,
      0.358,
      0.1798,
      0.2543,
      0.2656,
      0.2334,
      0.5341,
      0.2535,
      0.4168,
      0.2316,
      0.3465,
      0.4533,
      0.736,
      0.2171,
      0.4043,
      0.376,
      0.3401,
      0.4149,
      0.4457,
      0.1656,
      0.1266,
      0.2906,
      0.383,
      0.2691,
      0.2957,
      0.2388,
      0.3514,
      0.5305,
      0.5875,
      0.4366,
      0.3726,
      0.7299,
      0.2914,
      0.5937,
      0.3366,
      0.3246,
      0.5356,
      0.5755,
      0.4447,
      0.3533,
      0.5613,
      0.6062,
      0.4646,
      0.4594,
      0.7618,
      0.5409,
      0.6042,
      0.5203,
      0.3365,
      0.5675,
      0.1775,
      0.4265,
      0.4443,
      0.4437,
      0.5131,
      0.5181,
      0.5315,
      0.528,
      0.5979,
      0.6014,
      0.4258,
      0.4352,
      0.3906,
      0.2706,
      0.7164,
      0.1474,
      0.6412,
      0.3707,
      0.3649,
      0.1783,
      0.3346,
      0.2674,
      0.3514,
      0.3474,
      0.5521,
      0.1985,
      0.5746,
      0.5593,
      0.5026,
      0.61,
      0.4251,
      0.6223,
      0.2009,
      0.3372,
      0.4735,
      0.2697,
      0.4471,
      0.7105,
      0.4593,
      0.3116,
      0.5864,
      0.5468,
      0.7313,
      0.5209,
      0.7132,
      0.4767,
      0.6037,
      0.246,
      0.3819,
      0.428,
      0.5107,
      0.3929,
      0.6216,
      0.737,
      0.3778,
      0.4268,
      0.5509,
      0.3086,
      0.3995,
      0.3611,
      0.6895,
      0.3775,
      0.5119,
      0.2545,
      0.3932,
      0.4603,
      0.5442,
      0.5775,
      0.2693,
      0.4441,
      0.3409,
      0.5214,
      0.5219,
      0.6145,
      0.3865,
      0.4308,
      0.609,
      0.6581,
      0.4213,
      0.3317,
      0.5718,
      0.5963,
      0.6031,
      0.7491,
      0.489,
      0.5207,
      0.5328,
      0.6375,
      0.6204,
      0.43,
      0.3412,
      0.5414,
      0.55,
      0.3903,
      0.3936,
      0.4787,
      0.3319,
      0.4388,
      0.4831,
      0.535,
      0.5686,
      0.5632,
      0.3597,
      0.4218,
      0.6138,
      0.3031,
      0.6246,
      0.3721,
      0.3245,
      0.3824,
      0.6103,
      0.388,
      0.5274,
      0.5071,
      0.6419,
      0.5025,
      0.3969,
      0.7899,
      0.4301,
      0.5704,
      0.5606,
      0.309,
      0.4916,
      0.3258,
      0.3457,
      0.5451,
      0.4765,
      0.2619,
      0.2251,
      0.1776,
      0.234,
      0.2481,
      0.5732,
      0.4718,
      0.3081,
      0.2687,
      0.6323,
      0.3256,
      0.4663,
      0.5507,
      0.3945,
      0.4175,
      0.4332,
      0.2831,
      0.5206,
      0.5132,
      0.4023,
      0.5869,
      0.5896,
      0.5686,
      0.5425,
      0.5248,
      0.5479,
      0.4729,
      0.5533,
      0.333,
      0.5751,
      0.4899,
      0.4062,
      0.3878,
      0.343,
      0.287,
      0.374,
      0.5068,
      0.5234,
      0.4851,
      0.5881,
      0.5091,
      0.3268,
      0.4176,
      0.4262,
      0.4854,
      0.5823,
      0.5265,
      0.637,
      0.5642,
      0.6431,
      0.4414,
      0.4871,
      0.4292,
      0.502,
      0.5112,
      0.4891,
      0.4735,
      0.6291,
      0.5371,
      0.3259,
      0.5264,
      0.6396,
      0.6657,
      0.4337,
      0.4974,
      0.5586,
      0.2448,
      0.3805,
      0.4027,
      0.3952,
      0.3312,
      0.1991,
      0.4841,
      0.2396,
      0.2484,
      0.3836,
      0.4608,
      0.0549,
      0,
      0.1144,
      0,
      0,
      0,
      0,
      0,
      0,
      0.38,
      0.5296,
      0.246,
      0.4779,
      0.152,
      0.2773,
      0.3768,
      0.2794,
      0.4363,
      0.3668,
      0.2613,
      0.3468,
      0.1755,
      0.3671,
      0.4701,
      0.1902,
      0.1762,
      0.1796,
      0,
      0.1726,
      0.2528,
      0.1826,
      0,
      0.2417,
      0.3167,
      0.2762,
      0.3404,
      0.2601,
      0.4413,
      0.4196,
      0.4198,
      0.3821,
      0.3449,
      0.2341,
      0.5234,
      0.634,
      0.4279,
      0.3717,
      0.438,
      0.2805,
      0.3977,
      0.3803,
      0.3259,
      0.4936,
      0.3239,
      0.3417,
      0.286,
      0.2957,
      0.4531,
      0.7086,
      0.228,
      0.3555,
      0.3864,
      0.4315,
      0.3456,
      0.3938,
      0.1096,
      0.1818,
      0.2182,
      0.4603,
      0.3168,
      0.413,
      0.4099,
      0.3669,
      0.529,
      0.5127,
      0.5921,
      0.4209,
      0.4583,
      0.4393,
      0.5312,
      0.4946,
      0.3413,
      0.5556,
      0.5177,
      0.3755,
      0.2799,
      0.5811,
      0.5095,
      0.3934,
      0.4638,
      0.5188,
      0.3997,
      0.4171,
      0.3983,
      0.3964,
      0.2818,
      0.2963,
      0.2806,
      0.4641,
      0.5549,
      0.4588,
      0.4275,
      0.4784,
      0.4377,
      0.6656,
      0.4437,
      0.3634,
      0.3242,
      0.3537,
      0.2649,
      0.2609,
      0.1813,
      0.2698,
      0.3519,
      0.3341,
      0.1663,
      0.1324,
      0.4141,
      0.3629,
      0.2982,
      0.2112,
      0.1944,
      0.5162,
      0.595,
      0.3859,
      0.5629,
      0.4194,
      0.3445,
      0.2651,
      0.3073,
      0.3431,
      0.3264,
      0.2165,
      0.7346,
      0.2695,
      0.4159,
      0.573,
      0.5165,
      0.3336,
      0.3811,
      0.4385,
      0.4239,
      0.4813,
      0.3363,
      0.3097,
      0.6044,
      0.4733,
      0.4275,
      0.5338,
      0.692,
      0.3713,
      0.5055,
      0.5229,
      0.3909,
      0.3847,
      0.3635,
      0.4373,
      0.3989,
      0.37,
      0.2955,
      0.3919,
      0.322,
      0.5035,
      0.4887,
      0.3023,
      0.395,
      0.3205,
      0.536,
      0.4454,
      0.5556,
      0.4451,
      0.4089,
      0.696,
      0.7866,
      0.4119,
      0.348,
      0.5365,
      0.3421,
      0.6686,
      0.732,
      0.2932,
      0.5315,
      0.5189,
      0.5883,
      0.4461,
      0.3857,
      0.4534,
      0.3814,
      0.6321,
      0.3819,
      0.3979,
      0.4215,
      0.2792,
      0.4107,
      0.8162,
      0.5494,
      0.4978,
      0.5197,
      0.3589,
      0.3865,
      0.5196,
      0.3354,
      0.5196,
      0.4209,
      0.3519,
      0.3237,
      0.3695,
      0.2663,
      0.5369,
      0.5248,
      0.5417,
      0.5566,
      0.3275,
      0.752,
      0.5117,
      0.5662,
      0.4573,
      0.4964,
      0.5783,
      0.2729,
      0.3976,
      0.6134,
      0.5349,
      0.2741,
      0.2284,
      0.1891,
      0.2481,
      0.2016,
      0.3701,
      0.2849,
      0.2968,
      0.4218,
      0.4196,
      0.3414,
      0.3938,
      0.4859,
      0.407,
      0.584,
      0.3905,
      0.3051,
      0.3668,
      0.227,
      0.4091,
      0.4231,
      0.56,
      0.5207,
      0.5377,
      0.4947,
      0.59,
      0.6247,
      0.6257,
      0.3154,
      0.6253,
      0.5044,
      0.2099,
      0.4242,
      0.3807,
      0.2939,
      0.4435,
      0.5829,
      0.5022,
      0.3647,
      0.5044,
      0.3827,
      0.5396,
      0.4,
      0.3671,
      0.523,
      0.4769,
      0.4584,
      0.4912,
      0.5037,
      0.5695,
      0.4425,
      0.3648,
      0.3543,
      0.5555,
      0.5132,
      0.4946,
      0.471,
      0.6155,
      0.6844,
      0.2677,
      0.724,
      0.7079,
      0.6312,
      0.5066,
      0.6547,
      0.4827,
      0.2887,
      0.3562,
      0.2393,
      0.2373,
      0.3585,
      0.2017,
      0.2472,
      0.3123,
      0.2287,
      0.3731,
      0.2362,
      0,
      0.0187,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.4516,
      0.5562,
      0.2694,
      0.3557,
      0.1033,
      0.2474,
      0.2202,
      0.2806,
      0.3444,
      0.3453,
      0.2203,
      0.3706,
      0.0576,
      0.151,
      0.6638,
      0.141,
      0.3091,
      0.1924,
      0,
      0.2021,
      0.1265,
      0.1521,
      0,
      0.2582,
      0.3522,
      0.3434,
      0.2986,
      0.1401,
      0.3398,
      0.4751,
      0.2642,
      0.3435,
      0.3595,
      0.4603,
      0.4787,
      0.4192,
      0.3305,
      0.6146,
      0.4236,
      0.5012,
      0.5527,
      0.4767,
      0.3891,
      0.4849,
      0.2954,
      0.398,
      0.2557,
      0.3452,
      0.3862,
      0.3822,
      0.4016,
      0.3667,
      0.3753,
      0.3865,
      0.3634,
      0.3738,
      0.1039,
      0.1276,
      0.1667,
      0.3694,
      0.3368,
      0.3981,
      0.573,
      0.3794,
      0.5186,
      0.483,
      0.3811,
      0.5109,
      0.5914,
      0.4554,
      0.3794,
      0.3446,
      0.4157,
      0.5155,
      0.2748,
      0.6143,
      0.5778,
      0.7092,
      0.4382,
      0.6208,
      0.482,
      0.3969,
      0.3688,
      0.4263,
      0.6358,
      0.3913,
      0.2457,
      0.5144,
      0.317,
      0.4326,
      0.6907,
      0.5419,
      0.3616,
      0.4411,
      0.6653,
      0.6125,
      0.4389,
      0.3924,
      0.4112,
      0.2887,
      0.2083,
      0.2822,
      0.1644,
      0.26,
      0.3692,
      0.4085,
      0.1557,
      0.1819,
      0.6392,
      0.2716,
      0.302,
      0.2204,
      0.2662,
      0.5286,
      0.6176,
      0.4158,
      0.4764,
      0.2301,
      0.3123,
      0.2166,
      0.4237,
      0.5103,
      0.3251,
      0.3495,
      0.3894,
      0.2446,
      0.4321,
      0.5819,
      0.4783,
      0.3411,
      0.5365,
      0.4311,
      0.5463,
      0.3995,
      0.4597,
      0.2953,
      0.6544,
      0.5586,
      0.3792,
      0.3731,
      0.4285,
      0.3759,
      0.4948,
      0.4801,
      0.3983,
      0.4157,
      0.3998,
      0.3365,
      0.4212,
      0.4679,
      0.2544,
      0.5513,
      0.2937,
      0.2611,
      0.2393,
      0.3555,
      0.4926,
      0.3697,
      0.4907,
      0.4302,
      0.5858,
      0.6777,
      0.6469,
      0.6479,
      0.5807,
      0.4592,
      0.4098,
      0.428,
      0.4485,
      0.7223,
      0.5905,
      0.4423,
      0.4324,
      0.6,
      0.544,
      0.4434,
      0.6017,
      0.3906,
      0.2854,
      0.2887,
      0.4153,
      0.4065,
      0.4583,
      0.139,
      0.4479,
      0.5323,
      0.4428,
      0.5199,
      0.5335,
      0.3111,
      0.4669,
      0.7406,
      0.4996,
      0.3375,
      0.494,
      0.4637,
      0.4089,
      0.3369,
      0.5506,
      0.6128,
      0.5742,
      0.4898,
      0.5864,
      0.4331,
      0.479,
      0.4766,
      0.5893,
      0.5763,
      0.3475,
      0.4607,
      0.3536,
      0.502,
      0.5922,
      0.5439,
      0.3038,
      0.3644,
      0.254,
      0.2707,
      0.383,
      0.3226,
      0.3479,
      0.3814,
      0.6026,
      0.3966,
      0.3778,
      0.4961,
      0.5072,
      0.3608,
      0.7514,
      0.2287,
      0.4041,
      0.2839,
      0.2862,
      0.4994,
      0.2822,
      0.3573,
      0.4671,
      0.4043,
      0.519,
      0.5129,
      0.5854,
      0.5844,
      0.3108,
      0.662,
      0.6013,
      0.5941,
      0.5736,
      0.4979,
      0.5906,
      0.586,
      0.6298,
      0.5889,
      0.3567,
      0.5692,
      0.377,
      0.3422,
      0.5461,
      0.3313,
      0.5628,
      0.5063,
      0.3738,
      0.3995,
      0.5985,
      0.5895,
      0.4099,
      0.3082,
      0.312,
      0.576,
      0.5398,
      0.4705,
      0.3468,
      0.6094,
      0.579,
      0.2992,
      0.554,
      0.7413,
      0.534,
      0.4205,
      0.6352,
      0.4622,
      0.2582,
      0.3623,
      0.2971,
      0.1808,
      0.3755,
      0.1692,
      0.2181,
      0.3626,
      0.2151,
      0.3449,
      0.119,
      0.0149,
      0,
      0.0034,
      0,
      0,
      0,
      0,
      0,
      0,
      0.5999,
      0.206,
      0.1271,
      0.4126,
      0.1139,
      0.2361,
      0.2085,
      0.2418,
      0.159,
      0.3132,
      0.2899,
      0.3549,
      0.0547,
      0.1515,
      0.521,
      0.0749,
      0.2338,
      0.2857,
      0,
      0.2568,
      0,
      0.0602,
      0,
      0.3227,
      0.5513,
      0.252,
      0.3407,
      0.2753,
      0.1909,
      0.4498,
      0.3763,
      0.3048,
      0.3429,
      0.3593,
      0.5299,
      0.3773,
      0.2984,
      0.446,
      0.3748,
      0.4088,
      0.5706,
      0.483,
      0.4152,
      0.5351,
      0.201,
      0.4194,
      0.1951,
      0.3366,
      0.375,
      0.4268,
      0.2727,
      0.3639,
      0.3289,
      0.3595,
      0.2736,
      0.2784,
      0.1532,
      0.0868,
      0.1701,
      0.2423,
      0.2665,
      0.2867,
      0.5836,
      0.2441,
      0.5141,
      0.4681,
      0.4569,
      0.5985,
      0.5763,
      0.3724,
      0.3826,
      0.3339,
      0.4209,
      0.5228,
      0.2333,
      0.3321,
      0.2871,
      0.6766,
      0.4599,
      0.3116,
      0.5068,
      0.4031,
      0.3573,
      0.4333,
      0.5267,
      0.3476,
      0.3226,
      0.2729,
      0.3628,
      0.4363,
      0.4532,
      0.5381,
      0.3675,
      0.4752,
      0.601,
      0.5595,
      0.444,
      0.405,
      0.4019,
      0.2382,
      0.3089,
      0.2285,
      0.1925,
      0.3124,
      0.313,
      0.2494,
      0.1646,
      0.2064,
      0.2023,
      0.3104,
      0.2156,
      0.2076,
      0.2098,
      0.5091,
      0.587,
      0.3141,
      0.4353,
      0.2479,
      0.3533,
      0.2255,
      0.416,
      0.3068,
      0.2887,
      0.2317,
      0.2961,
      0.3328,
      0.7442,
      0.634,
      0.6472,
      0.2586,
      0.3524,
      0.4033,
      0.3281,
      0.3435,
      0.3178,
      0.3245,
      0.4585,
      0.5188,
      0.4447,
      0.411,
      0.3376,
      0.3314,
      0.4169,
      0.6109,
      0.3616,
      0.4571,
      0.4262,
      0.3417,
      0.3024,
      0.3956,
      0.2982,
      0.4368,
      0.289,
      0.2409,
      0.2399,
      0.3114,
      0.4548,
      0.3259,
      0.4404,
      0.4736,
      0.6344,
      0.645,
      0.5142,
      0.4484,
      0.37,
      0.3884,
      0.453,
      0.3417,
      0.4413,
      0.5717,
      0.394,
      0.3183,
      0.4466,
      0.5782,
      0.5553,
      0.4821,
      0.559,
      0.4539,
      0.3032,
      0.2648,
      0.4516,
      0.4151,
      0.3866,
      0.2776,
      0.1962,
      0.4049,
      0.4825,
      0.4981,
      0.4609,
      0.3714,
      0.3535,
      0.5104,
      0.4725,
      0.5264,
      0.3475,
      0.4777,
      0.3844,
      0.404,
      0.5136,
      0.5503,
      0.4175,
      0.4368,
      0.3639,
      0.3689,
      0.4252,
      0.4872,
      0.6704,
      0.4123,
      0.3188,
      0.3417,
      0.1574,
      0.4524,
      0.574,
      0.4172,
      0.4681,
      0.3222,
      0.1678,
      0.3296,
      0.301,
      0.3389,
      0.2563,
      0.3006,
      0.4245,
      0.1606,
      0.4131,
      0.4002,
      0.5423,
      0.3301,
      0.7224,
      0.2545,
      0.3966,
      0.3552,
      0.3317,
      0.5936,
      0.2923,
      0.3869,
      0.4765,
      0.4311,
      0.4659,
      0.5617,
      0.6393,
      0.493,
      0.3748,
      0.6863,
      0.5235,
      0.2971,
      0.6871,
      0.4321,
      0.2972,
      0.47,
      0.604,
      0.5255,
      0.4023,
      0.565,
      0.3497,
      0.3674,
      0.4285,
      0.3795,
      0.5369,
      0.5058,
      0.3444,
      0.4763,
      0.593,
      0.4375,
      0.3672,
      0.3488,
      0.3057,
      0.4262,
      0.494,
      0.4787,
      0.4536,
      0.5243,
      0.357,
      0.3578,
      0.5214,
      0.6993,
      0.6226,
      0.4826,
      0.5595,
      0.519,
      0.2687,
      0.3853,
      0.2852,
      0.2376,
      0.2463,
      0.2113,
      0.164,
      0.3639,
      0.1151,
      0.2456,
      0.077,
      0,
      0.0209,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3595,
      0.2295,
      0.204,
      0.4663,
      0.1457,
      0.1324,
      0.2782,
      0.2758,
      0.2309,
      0.3323,
      0.3366,
      0.3642,
      0.1105,
      0.2069,
      0.408,
      0.0998,
      0.2123,
      0.3309,
      0.041,
      0.2899,
      0.0746,
      0.3353,
      0,
      0.3802,
      0.4528,
      0.2847,
      0.3867,
      0.2649,
      0.2211,
      0.3459,
      0.3735,
      0.3635,
      0.2663,
      0.3411,
      0.4793,
      0.3521,
      0.3877,
      0.3433,
      0.3883,
      0.3318,
      0.3666,
      0.4998,
      0.4176,
      0.5185,
      0.2206,
      0.3827,
      0.1906,
      0.3632,
      0.3942,
      0.3628,
      0.2555,
      0.3728,
      0.3327,
      0.3792,
      0.3876,
      0.2442,
      0.1487,
      0.14,
      0.2005,
      0.307,
      0.2556,
      0.2136,
      0.481,
      0.2711,
      0.5141,
      0.5377,
      0.4054,
      0.4722,
      0.494,
      0.2221,
      0.5469,
      0.3963,
      0.3766,
      0.4987,
      0.2305,
      0.1921,
      0.263,
      0.656,
      0.3504,
      0.3303,
      0.4518,
      0.4615,
      0.3547,
      0.44,
      0.4162,
      0.369,
      0.4951,
      0.2219,
      0.3901,
      0.4733,
      0.4084,
      0.5573,
      0.4369,
      0.4567,
      0.6204,
      0.4001,
      0.4702,
      0.3703,
      0.311,
      0.3291,
      0.2643,
      0.2929,
      0.1645,
      0.3015,
      0.3669,
      0.2979,
      0.1754,
      0.1942,
      0.2221,
      0.2242,
      0.357,
      0.2397,
      0.1999,
      0.4319,
      0.6022,
      0.4521,
      0.4804,
      0.2952,
      0.351,
      0.2294,
      0.2873,
      0.3244,
      0.3414,
      0.2596,
      0.3388,
      0.5557,
      0.6552,
      0.5446,
      0.621,
      0.3193,
      0.3883,
      0.4688,
      0.3876,
      0.3958,
      0.3247,
      0.2102,
      0.4929,
      0.5567,
      0.3748,
      0.3601,
      0.4109,
      0.3977,
      0.4229,
      0.5488,
      0.3305,
      0.5161,
      0.4613,
      0.3551,
      0.2969,
      0.2923,
      0.2856,
      0.2819,
      0.2396,
      0.3198,
      0.2963,
      0.3138,
      0.3603,
      0.2829,
      0.4832,
      0.4981,
      0.6792,
      0.6117,
      0.4206,
      0.4043,
      0.3945,
      0.3789,
      0.4455,
      0.3096,
      0.3603,
      0.3854,
      0.337,
      0.3519,
      0.5077,
      0.5721,
      0.5654,
      0.4489,
      0.4861,
      0.4153,
      0.254,
      0.2797,
      0.4855,
      0.4555,
      0.3804,
      0.2923,
      0.3206,
      0.4561,
      0.5122,
      0.4988,
      0.4942,
      0.3648,
      0.348,
      0.4948,
      0.3141,
      0.6191,
      0.3541,
      0.3415,
      0.3266,
      0.3386,
      0.2679,
      0.4711,
      0.3738,
      0.5109,
      0.315,
      0.3007,
      0.395,
      0.4936,
      0.7193,
      0.4497,
      0.325,
      0.4048,
      0.1794,
      0.4029,
      0.576,
      0.3452,
      0.4952,
      0.2482,
      0.2176,
      0.255,
      0.4433,
      0.3573,
      0.2946,
      0.3504,
      0.2915,
      0.2377,
      0.4708,
      0.5011,
      0.5499,
      0.3487,
      0.487,
      0.2921,
      0.32,
      0.4114,
      0.3792,
      0.6531,
      0.3138,
      0.3975,
      0.4912,
      0.4322,
      0.5407,
      0.4941,
      0.6224,
      0.4646,
      0.3288,
      0.6321,
      0.4794,
      0.377,
      0.727,
      0.2858,
      0.3842,
      0.3069,
      0.5755,
      0.5885,
      0.3612,
      0.3858,
      0.3759,
      0.5149,
      0.4267,
      0.3414,
      0.5282,
      0.5172,
      0.3574,
      0.3965,
      0.5538,
      0.4051,
      0.3975,
      0.3398,
      0.3998,
      0.4374,
      0.4198,
      0.461,
      0.5015,
      0.3661,
      0.3671,
      0.2296,
      0.5892,
      0.5392,
      0.6171,
      0.4202,
      0.4663,
      0.504,
      0.2679,
      0.3153,
      0.4111,
      0.2024,
      0.2733,
      0.1642,
      0.1794,
      0.3749,
      0.1173,
      0.3001,
      0.0806,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3832,
      0.2433,
      0.1364,
      0.5162,
      0.1079,
      0.24,
      0.2677,
      0.3106,
      0.183,
      0.3115,
      0.361,
      0.2583,
      0.0631,
      0.1812,
      0.3034,
      0.1701,
      0.3877,
      0.2235,
      0,
      0.3277,
      0.1877,
      0.2658,
      0,
      0.3877,
      0.3469,
      0.1649,
      0.3825,
      0.2972,
      0.2582,
      0.3518,
      0.3668,
      0.3152,
      0.4166,
      0.3047,
      0.4487,
      0.4171,
      0.3236,
      0.4001,
      0.6162,
      0.229,
      0.312,
      0.459,
      0.4174,
      0.5133,
      0.2618,
      0.4109,
      0.2176,
      0.3174,
      0.4594,
      0.4074,
      0.262,
      0.355,
      0.5383,
      0.4792,
      0.3162,
      0.2862,
      0.1597,
      0.1652,
      0.1917,
      0.3063,
      0.2992,
      0.2609,
      0.3533,
      0.2386,
      0.5873,
      0.5393,
      0.3839,
      0.459,
      0.5434,
      0.2594,
      0.6264,
      0.4868,
      0.3199,
      0.5084,
      0.2599,
      0.352,
      0.3792,
      0.6327,
      0.4105,
      0.4146,
      0.2913,
      0.4336,
      0.3862,
      0.4607,
      0.6093,
      0.3393,
      0.5591,
      0.2739,
      0.3901,
      0.506,
      0.3825,
      0.5149,
      0.3733,
      0.6411,
      0.4259,
      0.3956,
      0.4625,
      0.3034,
      0.392,
      0.2971,
      0.2894,
      0.3348,
      0.3067,
      0.2775,
      0.5648,
      0.2275,
      0.2147,
      0.1789,
      0.1882,
      0.3052,
      0.4045,
      0.2404,
      0.1422,
      0.4816,
      0.5601,
      0.4869,
      0.4699,
      0.3234,
      0.3491,
      0.2046,
      0.297,
      0.3269,
      0.4388,
      0.2204,
      0.2351,
      0.5437,
      0.317,
      0.5123,
      0.5824,
      0.3759,
      0.3321,
      0.4837,
      0.3935,
      0.3684,
      0.3461,
      0.2548,
      0.4398,
      0.599,
      0.3853,
      0.4394,
      0.3592,
      0.3901,
      0.4814,
      0.4241,
      0.3928,
      0.4227,
      0.5714,
      0.3881,
      0.3397,
      0.3731,
      0.2728,
      0.2667,
      0.458,
      0.3358,
      0.2199,
      0.3037,
      0.3834,
      0.3662,
      0.5564,
      0.4891,
      0.6772,
      0.6003,
      0.4164,
      0.4438,
      0.3456,
      0.4121,
      0.4541,
      0.3713,
      0.3764,
      0.344,
      0.3586,
      0.3896,
      0.4896,
      0.4934,
      0.56,
      0.543,
      0.4474,
      0.4115,
      0.2402,
      0.3385,
      0.4945,
      0.699,
      0.369,
      0.3677,
      0.4211,
      0.4774,
      0.5016,
      0.5707,
      0.524,
      0.4169,
      0.5232,
      0.5046,
      0.3389,
      0.6119,
      0.277,
      0.4004,
      0.3835,
      0.2699,
      0.2821,
      0.522,
      0.3567,
      0.4798,
      0.3041,
      0.2568,
      0.4174,
      0.4813,
      0.6776,
      0.586,
      0.3107,
      0.4307,
      0.2011,
      0.4335,
      0.5614,
      0.4267,
      0.5335,
      0.2321,
      0.2888,
      0.2743,
      0.3516,
      0.4605,
      0.3415,
      0.304,
      0.3011,
      0.25,
      0.4741,
      0.4323,
      0.597,
      0.4293,
      0.2868,
      0.2928,
      0.2989,
      0.5652,
      0.3899,
      0.5065,
      0.3675,
      0.4284,
      0.3932,
      0.509,
      0.5034,
      0.5986,
      0.467,
      0.5864,
      0.4022,
      0.4286,
      0.4837,
      0.3624,
      0.712,
      0.3236,
      0.4673,
      0.2615,
      0.6183,
      0.4988,
      0.384,
      0.4619,
      0.3406,
      0.4441,
      0.4053,
      0.4293,
      0.5822,
      0.4403,
      0.4812,
      0.4829,
      0.6444,
      0.4239,
      0.5631,
      0.422,
      0.4459,
      0.4175,
      0.4676,
      0.4629,
      0.5386,
      0.4011,
      0.4264,
      0.3341,
      0.5992,
      0.4059,
      0.6634,
      0.4576,
      0.4021,
      0.4621,
      0.2532,
      0.522,
      0.4737,
      0.312,
      0.3398,
      0.2625,
      0.3296,
      0.3096,
      0.1899,
      0.3182,
      0.1993,
      0.0132,
      0.0218,
      0.0444,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3703,
      0.1819,
      0.1276,
      0.5858,
      0.136,
      0.3807,
      0.375,
      0.2174,
      0.1711,
      0.2945,
      0.3462,
      0.192,
      0.3253,
      0.1791,
      0.2381,
      0.1105,
      0.1159,
      0.0918,
      0.2081,
      0.2932,
      0.2527,
      0.1146,
      0,
      0.3938,
      0.3206,
      0.2571,
      0.3492,
      0.3017,
      0.2664,
      0.3191,
      0.4153,
      0.355,
      0.3416,
      0.4647,
      0.4429,
      0.4161,
      0.5988,
      0.6667,
      0.7431,
      0.1751,
      0.3135,
      0.2317,
      0.4247,
      0.5014,
      0.3095,
      0.4062,
      0.1988,
      0.4132,
      0.7435,
      0.5535,
      0.2824,
      0.4281,
      0.6617,
      0.6165,
      0.2693,
      0.2946,
      0.1825,
      0.1332,
      0.1552,
      0.2852,
      0.3199,
      0.29,
      0.3045,
      0.3528,
      0.6212,
      0.5051,
      0.5261,
      0.4185,
      0.5357,
      0.3229,
      0.6025,
      0.2999,
      0.3818,
      0.4984,
      0.2695,
      0.3653,
      0.3549,
      0.5932,
      0.4589,
      0.4531,
      0.3844,
      0.4664,
      0.4613,
      0.4644,
      0.6399,
      0.4395,
      0.5722,
      0.5578,
      0.456,
      0.4881,
      0.3724,
      0.5016,
      0.4458,
      0.6083,
      0.397,
      0.4322,
      0.5239,
      0.4048,
      0.4032,
      0.3807,
      0.3069,
      0.1998,
      0.5277,
      0.3428,
      0.691,
      0.1788,
      0.161,
      0.2173,
      0.2258,
      0.4585,
      0.5138,
      0.2803,
      0.2438,
      0.5209,
      0.5503,
      0.2621,
      0.6053,
      0.4047,
      0.335,
      0.1842,
      0.4941,
      0.3506,
      0.6461,
      0.3462,
      0.2829,
      0.4686,
      0.3113,
      0.466,
      0.6979,
      0.3688,
      0.5309,
      0.4385,
      0.3641,
      0.3954,
      0.369,
      0.2728,
      0.4913,
      0.4887,
      0.3909,
      0.4134,
      0.316,
      0.757,
      0.48,
      0.3812,
      0.4251,
      0.4213,
      0.7289,
      0.5078,
      0.4585,
      0.482,
      0.4558,
      0.4299,
      0.4252,
      0.3378,
      0.4239,
      0.2977,
      0.4258,
      0.3898,
      0.5321,
      0.6258,
      0.671,
      0.5376,
      0.4512,
      0.5346,
      0.4253,
      0.491,
      0.4842,
      0.3383,
      0.4065,
      0.3684,
      0.4017,
      0.4651,
      0.4568,
      0.5526,
      0.5107,
      0.6041,
      0.3839,
      0.5428,
      0.5259,
      0.4186,
      0.4755,
      0.769,
      0.3944,
      0.3238,
      0.3995,
      0.466,
      0.5418,
      0.5388,
      0.5308,
      0.625,
      0.5298,
      0.5696,
      0.3648,
      0.4948,
      0.5552,
      0.4431,
      0.3611,
      0.413,
      0.2832,
      0.5571,
      0.499,
      0.4918,
      0.1984,
      0.2807,
      0.3698,
      0.5021,
      0.5747,
      0.5806,
      0.4589,
      0.397,
      0.3178,
      0.5195,
      0.5893,
      0.4689,
      0.3769,
      0.5438,
      0.4366,
      0.289,
      0.218,
      0.4597,
      0.3777,
      0.3389,
      0.2381,
      0.3701,
      0.445,
      0.3453,
      0.6597,
      0.3995,
      0.2236,
      0.3177,
      0.297,
      0.5842,
      0.5729,
      0.4346,
      0.3896,
      0.391,
      0.4767,
      0.7713,
      0.4927,
      0.4828,
      0.3843,
      0.4986,
      0.5129,
      0.4112,
      0.6628,
      0.4242,
      0.4648,
      0.3417,
      0.5857,
      0.379,
      0.6215,
      0.5719,
      0.3829,
      0.566,
      0.4992,
      0.4491,
      0.5545,
      0.3862,
      0.5811,
      0.5578,
      0.6942,
      0.4904,
      0.5782,
      0.4274,
      0.6026,
      0.6133,
      0.5059,
      0.7091,
      0.4846,
      0.489,
      0.5435,
      0.4398,
      0.4056,
      0.3783,
      0.4502,
      0.373,
      0.6021,
      0.4955,
      0.3921,
      0.4264,
      0.3732,
      0.5235,
      0.444,
      0.3344,
      0.4591,
      0.2447,
      0.2983,
      0.3819,
      0.2065,
      0.3457,
      0.1985,
      0.1344,
      0.2754,
      0,
      0.071,
      0,
      0,
      0,
      0,
      0,
      0.3524,
      0.1688,
      0.1449,
      0.4666,
      0.0688,
      0.2957,
      0.2616,
      0.2596,
      0.2935,
      0.329,
      0.3484,
      0.1506,
      0.2595,
      0.3024,
      0.3554,
      0.1411,
      0.1171,
      0.1499,
      0.1016,
      0.1079,
      0.1933,
      0.104,
      0.1695,
      0.3907,
      0.3189,
      0.2269,
      0.3213,
      0.2018,
      0.1747,
      0.4454,
      0.4671,
      0.3372,
      0.3735,
      0.3832,
      0.531,
      0.4281,
      0.5504,
      0.4869,
      0.4239,
      0.218,
      0.2909,
      0.1933,
      0.4082,
      0.4766,
      0.253,
      0.402,
      0.2107,
      0.3227,
      0.5132,
      0.4359,
      0.2236,
      0.4052,
      0.3338,
      0.4198,
      0.3571,
      0.3425,
      0.1458,
      0.117,
      0.2164,
      0.3518,
      0.304,
      0.3893,
      0.2817,
      0.3588,
      0.5892,
      0.5304,
      0.3557,
      0.5073,
      0.5475,
      0.3791,
      0.4993,
      0.3609,
      0.4958,
      0.4866,
      0.3399,
      0.3634,
      0.3098,
      0.5725,
      0.6192,
      0.4096,
      0.4844,
      0.5229,
      0.4287,
      0.4861,
      0.538,
      0.3641,
      0.3293,
      0.2523,
      0.3895,
      0.4346,
      0.4207,
      0.5036,
      0.5309,
      0.4651,
      0.4191,
      0.3887,
      0.4519,
      0.5388,
      0.4222,
      0.3952,
      0.6374,
      0.3216,
      0.3016,
      0.2903,
      0.3122,
      0.251,
      0.1813,
      0.1857,
      0.2515,
      0.2445,
      0.5183,
      0.2129,
      0.22,
      0.5387,
      0.5809,
      0.2666,
      0.4802,
      0.3378,
      0.3606,
      0.182,
      0.2962,
      0.3359,
      0.5111,
      0.2638,
      0.278,
      0.3626,
      0.3599,
      0.5817,
      0.4874,
      0.3695,
      0.4325,
      0.4768,
      0.4861,
      0.3714,
      0.4081,
      0.3442,
      0.6056,
      0.576,
      0.5695,
      0.3944,
      0.2449,
      0.6697,
      0.4878,
      0.3841,
      0.4133,
      0.3682,
      0.5714,
      0.3821,
      0.5927,
      0.6163,
      0.5476,
      0.5434,
      0.4125,
      0.3271,
      0.4709,
      0.3416,
      0.368,
      0.3291,
      0.5481,
      0.6738,
      0.6126,
      0.5282,
      0.4784,
      0.5871,
      0.4119,
      0.3986,
      0.4624,
      0.3602,
      0.4126,
      0.6125,
      0.6469,
      0.4466,
      0.4221,
      0.5094,
      0.5489,
      0.5458,
      0.2969,
      0.3921,
      0.4995,
      0.4045,
      0.4725,
      0.4231,
      0.3963,
      0.3785,
      0.4203,
      0.4635,
      0.5136,
      0.449,
      0.5092,
      0.7347,
      0.6216,
      0.5114,
      0.4288,
      0.3837,
      0.4278,
      0.4995,
      0.3934,
      0.4289,
      0.2913,
      0.352,
      0.591,
      0.5448,
      0.442,
      0.3606,
      0.3445,
      0.4397,
      0.4994,
      0.5385,
      0.338,
      0.3973,
      0.2796,
      0.5596,
      0.6874,
      0.44,
      0.2251,
      0.3097,
      0.2549,
      0.3337,
      0.1351,
      0.3053,
      0.371,
      0.328,
      0.2429,
      0.361,
      0.4301,
      0.3804,
      0.6615,
      0.3357,
      0.3534,
      0.3598,
      0.3272,
      0.3424,
      0.4897,
      0.3653,
      0.4393,
      0.3873,
      0.4494,
      0.6898,
      0.485,
      0.6132,
      0.3771,
      0.5949,
      0.5378,
      0.3656,
      0.7057,
      0.6108,
      0.4445,
      0.3533,
      0.5396,
      0.2662,
      0.6321,
      0.6272,
      0.571,
      0.5026,
      0.6008,
      0.5248,
      0.4351,
      0.4053,
      0.5697,
      0.5658,
      0.6596,
      0.4579,
      0.6655,
      0.4367,
      0.5122,
      0.4867,
      0.6353,
      0.5893,
      0.5189,
      0.4979,
      0.4893,
      0.4709,
      0.4941,
      0.39,
      0.5203,
      0.4333,
      0.6148,
      0.5574,
      0.4757,
      0.32,
      0.3564,
      0.4529,
      0.4337,
      0.3408,
      0.3428,
      0.4061,
      0.2111,
      0.3752,
      0.2981,
      0.4327,
      0.1365,
      0.0248,
      0.0466,
      0.048,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3617,
      0.1749,
      0.1899,
      0.3672,
      0.1452,
      0.205,
      0.2601,
      0.2286,
      0.3486,
      0.3772,
      0.3337,
      0.1928,
      0.0542,
      0.242,
      0.3655,
      0.1351,
      0.1485,
      0.1703,
      0,
      0.1202,
      0.0515,
      0.0409,
      0,
      0.3601,
      0.3375,
      0.2438,
      0.2666,
      0.3195,
      0.0648,
      0.3943,
      0.434,
      0.3437,
      0.3489,
      0.3834,
      0.5512,
      0.541,
      0.3444,
      0.404,
      0.3525,
      0.2336,
      0.3437,
      0.2235,
      0.3919,
      0.5631,
      0.2972,
      0.3786,
      0.278,
      0.3252,
      0.4046,
      0.3874,
      0.2642,
      0.3396,
      0.3106,
      0.2902,
      0.2682,
      0.2823,
      0.1559,
      0.1307,
      0.204,
      0.4446,
      0.3487,
      0.5632,
      0.3716,
      0.2644,
      0.6504,
      0.5991,
      0.4079,
      0.4776,
      0.5595,
      0.3251,
      0.3966,
      0.4467,
      0.5368,
      0.4865,
      0.2575,
      0.2306,
      0.1977,
      0.624,
      0.5713,
      0.3305,
      0.5459,
      0.5126,
      0.332,
      0.4198,
      0.377,
      0.3496,
      0.3777,
      0.2417,
      0.3757,
      0.4508,
      0.4394,
      0.4908,
      0.4942,
      0.4673,
      0.326,
      0.4053,
      0.4033,
      0.4248,
      0.5472,
      0.375,
      0.3737,
      0.2644,
      0.212,
      0.3177,
      0.3044,
      0.2971,
      0.1115,
      0.1619,
      0.1582,
      0.3403,
      0.3019,
      0.3091,
      0.2011,
      0.4536,
      0.5862,
      0.3423,
      0.5035,
      0.4906,
      0.5508,
      0.2242,
      0.33,
      0.3054,
      0.4289,
      0.3138,
      0.2813,
      0.3092,
      0.3179,
      0.5405,
      0.4512,
      0.4165,
      0.3608,
      0.47,
      0.4305,
      0.5,
      0.3257,
      0.3064,
      0.5957,
      0.5752,
      0.3927,
      0.3755,
      0.2768,
      0.3877,
      0.6372,
      0.352,
      0.4452,
      0.3518,
      0.3927,
      0.4058,
      0.3609,
      0.4108,
      0.2734,
      0.4379,
      0.3489,
      0.3561,
      0.4533,
      0.2958,
      0.3458,
      0.3297,
      0.4876,
      0.5932,
      0.5678,
      0.4793,
      0.5223,
      0.7395,
      0.4128,
      0.4055,
      0.4374,
      0.4772,
      0.5765,
      0.6291,
      0.7586,
      0.3492,
      0.4336,
      0.5714,
      0.5828,
      0.4399,
      0.4195,
      0.3706,
      0.358,
      0.5676,
      0.4485,
      0.4678,
      0.3887,
      0.3854,
      0.5467,
      0.6745,
      0.5311,
      0.4827,
      0.4681,
      0.5708,
      0.73,
      0.4638,
      0.347,
      0.3831,
      0.4482,
      0.5578,
      0.364,
      0.5391,
      0.3006,
      0.5603,
      0.4926,
      0.4352,
      0.5195,
      0.4139,
      0.4046,
      0.4052,
      0.49,
      0.4759,
      0.4283,
      0.5594,
      0.2766,
      0.5453,
      0.5502,
      0.4446,
      0.2119,
      0.2269,
      0.2437,
      0.2818,
      0.1606,
      0.2842,
      0.3915,
      0.2657,
      0.2927,
      0.2241,
      0.4558,
      0.5097,
      0.6079,
      0.3107,
      0.3542,
      0.3338,
      0.275,
      0.3307,
      0.3537,
      0.4314,
      0.6185,
      0.369,
      0.5148,
      0.5411,
      0.5009,
      0.5257,
      0.3703,
      0.5121,
      0.3715,
      0.4913,
      0.4936,
      0.5692,
      0.4579,
      0.377,
      0.4721,
      0.3648,
      0.6139,
      0.4637,
      0.429,
      0.3373,
      0.3437,
      0.3829,
      0.4271,
      0.4074,
      0.5118,
      0.4542,
      0.5214,
      0.447,
      0.5854,
      0.4708,
      0.4706,
      0.3397,
      0.5057,
      0.5327,
      0.5498,
      0.4613,
      0.3986,
      0.6615,
      0.6397,
      0.3811,
      0.4805,
      0.5747,
      0.538,
      0.4859,
      0.4061,
      0.3902,
      0.4134,
      0.3567,
      0.4191,
      0.3819,
      0.374,
      0.228,
      0.2436,
      0.2875,
      0.2484,
      0.3359,
      0.3729,
      0.1711,
      0,
      0.0245,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3004,
      0.5927,
      0.2375,
      0.283,
      0.0468,
      0.2964,
      0.2257,
      0.1974,
      0.23,
      0.3177,
      0.3023,
      0.3108,
      0.1042,
      0.0895,
      0.6269,
      0.0936,
      0.2289,
      0.1668,
      0.1392,
      0.1188,
      0.078,
      0.2459,
      0,
      0.3131,
      0.3245,
      0.2397,
      0.2669,
      0.2868,
      0.1511,
      0.4311,
      0.4234,
      0.3226,
      0.3233,
      0.4258,
      0.5454,
      0.6052,
      0.4991,
      0.4354,
      0.3831,
      0.4161,
      0.5219,
      0.2622,
      0.3853,
      0.4425,
      0.2378,
      0.4072,
      0.2777,
      0.3352,
      0.344,
      0.6665,
      0.2434,
      0.3834,
      0.3753,
      0.337,
      0.3554,
      0.2759,
      0.175,
      0.1384,
      0.2198,
      0.3367,
      0.2743,
      0.3988,
      0.5303,
      0.2899,
      0.6492,
      0.5935,
      0.3869,
      0.4524,
      0.6441,
      0.3874,
      0.3762,
      0.3941,
      0.5325,
      0.4693,
      0.5759,
      0.3264,
      0.4534,
      0.6098,
      0.5303,
      0.5304,
      0.5999,
      0.7214,
      0.4185,
      0.3822,
      0.3924,
      0.3464,
      0.3555,
      0.4157,
      0.3766,
      0.4836,
      0.5651,
      0.4944,
      0.4147,
      0.3533,
      0.4669,
      0.3829,
      0.4231,
      0.3961,
      0.54,
      0.3649,
      0.3654,
      0.3177,
      0.1688,
      0.468,
      0.2736,
      0.3707,
      0.1259,
      0.1727,
      0.6013,
      0.2887,
      0.3274,
      0.6938,
      0.1595,
      0.4778,
      0.6185,
      0.4172,
      0.4963,
      0.4661,
      0.502,
      0.1886,
      0.3726,
      0.2496,
      0.3166,
      0.273,
      0.2507,
      0.218,
      0.3598,
      0.4884,
      0.4676,
      0.4107,
      0.4382,
      0.4265,
      0.4833,
      0.5858,
      0.3322,
      0.3304,
      0.4192,
      0.5742,
      0.3827,
      0.3222,
      0.3187,
      0.4243,
      0.6364,
      0.3407,
      0.4879,
      0.3864,
      0.3583,
      0.4276,
      0.428,
      0.304,
      0.3162,
      0.5073,
      0.2257,
      0.5005,
      0.534,
      0.3467,
      0.481,
      0.345,
      0.4554,
      0.5392,
      0.5882,
      0.4497,
      0.5205,
      0.7673,
      0.5788,
      0.429,
      0.44,
      0.5305,
      0.7066,
      0.637,
      0.7585,
      0.2743,
      0.4571,
      0.4798,
      0.5731,
      0.441,
      0.3845,
      0.4091,
      0.3556,
      0.6321,
      0.4103,
      0.4479,
      0.4277,
      0.3617,
      0.5197,
      0.628,
      0.4954,
      0.4828,
      0.485,
      0.4186,
      0.4233,
      0.5468,
      0.3838,
      0.4545,
      0.5754,
      0.4961,
      0.4041,
      0.5246,
      0.3657,
      0.5788,
      0.5472,
      0.605,
      0.4826,
      0.4301,
      0.7262,
      0.4521,
      0.524,
      0.5533,
      0.4679,
      0.4343,
      0.3502,
      0.461,
      0.5764,
      0.5241,
      0.2788,
      0.2283,
      0.1753,
      0.2975,
      0.2524,
      0.325,
      0.378,
      0.3702,
      0.5593,
      0.2229,
      0.3565,
      0.4323,
      0.4726,
      0.3534,
      0.6224,
      0.3492,
      0.3026,
      0.3398,
      0.3456,
      0.4443,
      0.5016,
      0.5924,
      0.6433,
      0.5972,
      0.6563,
      0.5149,
      0.5065,
      0.5191,
      0.4478,
      0.5076,
      0.5188,
      0.3844,
      0.4763,
      0.4142,
      0.4692,
      0.388,
      0.6255,
      0.488,
      0.3737,
      0.3574,
      0.4831,
      0.4183,
      0.5247,
      0.402,
      0.5377,
      0.4783,
      0.4428,
      0.5236,
      0.5544,
      0.507,
      0.4777,
      0.4228,
      0.4491,
      0.4972,
      0.5379,
      0.4704,
      0.4414,
      0.6563,
      0.7072,
      0.3791,
      0.538,
      0.5994,
      0.4854,
      0.4732,
      0.5096,
      0.46,
      0.4344,
      0.4728,
      0.3776,
      0.4187,
      0.4528,
      0.2908,
      0.2813,
      0.3593,
      0.2548,
      0.3431,
      0.2284,
      0.2026,
      0.0799,
      0.1357,
      0,
      0,
      0,
      0,
      0,
      0,
      0.4253,
      0.5001,
      0.2503,
      0.3722,
      0.0533,
      0.3939,
      0.289,
      0.1871,
      0.0264,
      0.3048,
      0.2881,
      0.3174,
      0.0699,
      0.1452,
      0.6936,
      0.2802,
      0.4608,
      0.3225,
      0.0382,
      0.2145,
      0.1805,
      0.4296,
      0,
      0.288,
      0.4422,
      0.3085,
      0.2877,
      0.2863,
      0.2792,
      0.4349,
      0.4002,
      0.3546,
      0.3396,
      0.4347,
      0.4764,
      0.3496,
      0.5204,
      0.5838,
      0.4041,
      0.5308,
      0.661,
      0.3167,
      0.3775,
      0.4877,
      0.2788,
      0.4239,
      0.1762,
      0.3189,
      0.3698,
      0.4909,
      0.3601,
      0.3687,
      0.2982,
      0.4276,
      0.4349,
      0.3111,
      0.1265,
      0.1412,
      0.2452,
      0.2966,
      0.3137,
      0.3081,
      0.6687,
      0.3116,
      0.5305,
      0.5431,
      0.5602,
      0.4739,
      0.624,
      0.3383,
      0.4377,
      0.3386,
      0.3543,
      0.3612,
      0.3453,
      0.5886,
      0.567,
      0.644,
      0.5259,
      0.5893,
      0.522,
      0.4083,
      0.6518,
      0.339,
      0.6278,
      0.2973,
      0.4194,
      0.5441,
      0.3523,
      0.4852,
      0.5271,
      0.5185,
      0.3983,
      0.5205,
      0.6346,
      0.47,
      0.4074,
      0.447,
      0.7788,
      0.6231,
      0.2958,
      0.5033,
      0.1576,
      0.658,
      0.3642,
      0.2929,
      0.0865,
      0.173,
      0.5664,
      0.3363,
      0.2978,
      0.6495,
      0.3175,
      0.499,
      0.5901,
      0.4956,
      0.5185,
      0.306,
      0.3108,
      0.199,
      0.3517,
      0.4653,
      0.3353,
      0.296,
      0.2488,
      0.3672,
      0.3171,
      0.5167,
      0.4179,
      0.5054,
      0.5706,
      0.656,
      0.4022,
      0.4406,
      0.3267,
      0.3822,
      0.3932,
      0.5078,
      0.3219,
      0.5254,
      0.3927,
      0.3677,
      0.5541,
      0.3864,
      0.6613,
      0.3612,
      0.3588,
      0.4562,
      0.3825,
      0.397,
      0.3469,
      0.378,
      0.4904,
      0.4679,
      0.3168,
      0.377,
      0.4423,
      0.3226,
      0.4004,
      0.5302,
      0.5533,
      0.5265,
      0.725,
      0.6292,
      0.6558,
      0.6687,
      0.3606,
      0.3849,
      0.5472,
      0.4662,
      0.7,
      0.4252,
      0.4044,
      0.5175,
      0.5291,
      0.485,
      0.418,
      0.4212,
      0.4251,
      0.6249,
      0.412,
      0.4382,
      0.4447,
      0.3389,
      0.3883,
      0.4202,
      0.524,
      0.4707,
      0.4925,
      0.3343,
      0.421,
      0.6902,
      0.4832,
      0.5049,
      0.5397,
      0.4999,
      0.3964,
      0.4108,
      0.5124,
      0.6648,
      0.6328,
      0.6099,
      0.6008,
      0.3926,
      0.5394,
      0.4861,
      0.4757,
      0.5232,
      0.4169,
      0.3536,
      0.3771,
      0.4827,
      0.6253,
      0.5344,
      0.4438,
      0.3543,
      0.3689,
      0.2487,
      0.3166,
      0.4007,
      0.4298,
      0.4214,
      0.5676,
      0.3128,
      0.4285,
      0.5108,
      0.5036,
      0.2822,
      0.6964,
      0.2313,
      0.3117,
      0.388,
      0.3586,
      0.556,
      0.4047,
      0.4245,
      0.5947,
      0.6089,
      0.4485,
      0.5426,
      0.5722,
      0.5092,
      0.3871,
      0.5578,
      0.5944,
      0.5761,
      0.576,
      0.398,
      0.5891,
      0.5171,
      0.6261,
      0.6339,
      0.5131,
      0.5951,
      0.4401,
      0.4069,
      0.5234,
      0.3883,
      0.6898,
      0.4468,
      0.5069,
      0.5146,
      0.5454,
      0.5761,
      0.4587,
      0.3984,
      0.4243,
      0.6702,
      0.6777,
      0.693,
      0.4639,
      0.6536,
      0.6314,
      0.4073,
      0.554,
      0.7324,
      0.7014,
      0.6778,
      0.5602,
      0.6218,
      0.3879,
      0.4191,
      0.3536,
      0.328,
      0.5679,
      0.2884,
      0.3055,
      0.3647,
      0.2095,
      0.3782,
      0.4118,
      0.1247,
      0.0334,
      0.1399,
      0,
      0,
      0,
      0,
      0,
      0,
      0.4584,
      0.2637,
      0.0695,
      0.3746,
      0.008,
      0.392,
      0.3097,
      0.2891,
      0.1147,
      0.3825,
      0.3593,
      0.3266,
      0.0897,
      0.2198,
      0.5749,
      0.1233,
      0.3949,
      0.1575,
      0.0691,
      0.3225,
      0.0128,
      0.2308,
      0,
      0.3417,
      0.6006,
      0.2813,
      0.3074,
      0.3336,
      0.2483,
      0.3669,
      0.4165,
      0.3124,
      0.3406,
      0.4376,
      0.4463,
      0.4127,
      0.3772,
      0.4094,
      0.4418,
      0.5072,
      0.5536,
      0.3821,
      0.4224,
      0.5748,
      0.2294,
      0.4435,
      0.3023,
      0.3447,
      0.3111,
      0.3431,
      0.3112,
      0.3931,
      0.3453,
      0.4945,
      0.4113,
      0.2918,
      0.1543,
      0.1421,
      0.1749,
      0.1637,
      0.2681,
      0.2868,
      0.5733,
      0.3201,
      0.5355,
      0.5258,
      0.3486,
      0.5242,
      0.5177,
      0.324,
      0.4595,
      0.3644,
      0.431,
      0.4367,
      0.3201,
      0.3127,
      0.3093,
      0.6061,
      0.4726,
      0.4051,
      0.386,
      0.4306,
      0.3532,
      0.4733,
      0.4208,
      0.3953,
      0.5081,
      0.2925,
      0.4954,
      0.4392,
      0.4872,
      0.6017,
      0.4062,
      0.3757,
      0.5488,
      0.3927,
      0.4844,
      0.3974,
      0.5194,
      0.601,
      0.2828,
      0.2822,
      0.1486,
      0.3419,
      0.2746,
      0.207,
      0.1672,
      0.191,
      0.2567,
      0.2995,
      0.2289,
      0.2846,
      0.2505,
      0.5171,
      0.5477,
      0.3287,
      0.4671,
      0.3709,
      0.3742,
      0.2822,
      0.381,
      0.3339,
      0.2142,
      0.3371,
      0.3304,
      0.1969,
      0.3669,
      0.5132,
      0.4535,
      0.4998,
      0.4367,
      0.4675,
      0.3566,
      0.4087,
      0.3803,
      0.3155,
      0.5071,
      0.5067,
      0.4138,
      0.5637,
      0.3731,
      0.3527,
      0.5119,
      0.3568,
      0.5965,
      0.3937,
      0.3487,
      0.5344,
      0.3573,
      0.3229,
      0.3868,
      0.4126,
      0.4771,
      0.4083,
      0.3057,
      0.362,
      0.3212,
      0.3486,
      0.4148,
      0.4574,
      0.6239,
      0.7189,
      0.5877,
      0.4464,
      0.4261,
      0.4171,
      0.4567,
      0.3735,
      0.4271,
      0.409,
      0.5295,
      0.3853,
      0.3549,
      0.5082,
      0.5585,
      0.3967,
      0.5817,
      0.4405,
      0.326,
      0.453,
      0.4502,
      0.4369,
      0.4604,
      0.3563,
      0.3813,
      0.4276,
      0.4325,
      0.5109,
      0.4136,
      0.3116,
      0.464,
      0.5338,
      0.4059,
      0.5893,
      0.3576,
      0.4694,
      0.3936,
      0.333,
      0.3206,
      0.6102,
      0.4957,
      0.5424,
      0.4105,
      0.4083,
      0.4079,
      0.4398,
      0.5203,
      0.4084,
      0.4905,
      0.3455,
      0.2777,
      0.4251,
      0.6122,
      0.396,
      0.5188,
      0.2865,
      0.2653,
      0.2671,
      0.2832,
      0.409,
      0.3222,
      0.3988,
      0.3587,
      0.2544,
      0.4249,
      0.4363,
      0.497,
      0.2546,
      0.6191,
      0.3336,
      0.2819,
      0.5806,
      0.4543,
      0.7365,
      0.384,
      0.4038,
      0.4282,
      0.6144,
      0.5151,
      0.5377,
      0.5088,
      0.483,
      0.3419,
      0.6151,
      0.4462,
      0.3289,
      0.5605,
      0.3994,
      0.3765,
      0.5333,
      0.6078,
      0.5176,
      0.4275,
      0.5011,
      0.3993,
      0.454,
      0.409,
      0.4279,
      0.5437,
      0.4463,
      0.4836,
      0.524,
      0.6035,
      0.5461,
      0.4879,
      0.4834,
      0.3953,
      0.6272,
      0.5451,
      0.5384,
      0.4381,
      0.6852,
      0.5045,
      0.3769,
      0.5688,
      0.6481,
      0.5605,
      0.5492,
      0.39,
      0.5349,
      0.3646,
      0.4173,
      0.4272,
      0.3454,
      0.3912,
      0.2632,
      0.3627,
      0.3703,
      0.2636,
      0.4681,
      0.1601,
      0.1475,
      0.0596,
      0.0246,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3274,
      0.2183,
      0.0828,
      0.3469,
      0.0334,
      0.3415,
      0.2175,
      0.2268,
      0.1148,
      0.3345,
      0.3435,
      0.2754,
      0.3142,
      0.234,
      0.501,
      0.198,
      0.238,
      0.097,
      0.2295,
      0.3331,
      0.1881,
      0.2299,
      0,
      0.3707,
      0.4515,
      0.2822,
      0.3132,
      0.1866,
      0.1586,
      0.3974,
      0.3817,
      0.3248,
      0.334,
      0.4531,
      0.5029,
      0.384,
      0.3533,
      0.419,
      0.4207,
      0.4887,
      0.3205,
      0.4177,
      0.4134,
      0.6062,
      0.2411,
      0.3562,
      0.2699,
      0.3759,
      0.3112,
      0.3581,
      0.1837,
      0.3619,
      0.3683,
      0.3172,
      0.3574,
      0.2759,
      0.1195,
      0.1035,
      0.2475,
      0.2798,
      0.2274,
      0.2823,
      0.3956,
      0.3248,
      0.5113,
      0.4848,
      0.4305,
      0.5087,
      0.5141,
      0.3634,
      0.4592,
      0.4643,
      0.512,
      0.4615,
      0.3267,
      0.342,
      0.3761,
      0.5859,
      0.3583,
      0.511,
      0.5463,
      0.4963,
      0.3982,
      0.4704,
      0.5916,
      0.4301,
      0.56,
      0.3446,
      0.4817,
      0.4638,
      0.396,
      0.5709,
      0.4508,
      0.4195,
      0.6142,
      0.4622,
      0.5569,
      0.426,
      0.5904,
      0.509,
      0.2849,
      0.699,
      0.1365,
      0.4155,
      0.3238,
      0.2215,
      0.1982,
      0.1425,
      0.1948,
      0.3469,
      0.2312,
      0.2323,
      0.1783,
      0.5364,
      0.5022,
      0.2934,
      0.5245,
      0.2931,
      0.3336,
      0.1482,
      0.3047,
      0.3476,
      0.2983,
      0.3357,
      0.3915,
      0.2566,
      0.3702,
      0.561,
      0.4169,
      0.6361,
      0.4132,
      0.5055,
      0.4568,
      0.414,
      0.4384,
      0.3929,
      0.5659,
      0.5702,
      0.464,
      0.4246,
      0.3949,
      0.465,
      0.4771,
      0.3571,
      0.5315,
      0.469,
      0.4085,
      0.5999,
      0.2269,
      0.41,
      0.3937,
      0.4546,
      0.3805,
      0.3804,
      0.3712,
      0.4311,
      0.4426,
      0.3551,
      0.4874,
      0.5829,
      0.6202,
      0.6787,
      0.4804,
      0.4492,
      0.3872,
      0.4129,
      0.4991,
      0.3529,
      0.375,
      0.4577,
      0.4746,
      0.3557,
      0.4038,
      0.5225,
      0.5557,
      0.4811,
      0.5348,
      0.4863,
      0.4294,
      0.4611,
      0.5013,
      0.4658,
      0.4097,
      0.4259,
      0.3848,
      0.3974,
      0.4873,
      0.568,
      0.4921,
      0.4405,
      0.4774,
      0.542,
      0.4251,
      0.6356,
      0.4194,
      0.5854,
      0.4376,
      0.3751,
      0.3895,
      0.4815,
      0.4898,
      0.5106,
      0.4145,
      0.4158,
      0.4971,
      0.4404,
      0.5619,
      0.4879,
      0.3604,
      0.324,
      0.3592,
      0.4991,
      0.5905,
      0.472,
      0.5777,
      0.3261,
      0.2931,
      0.2416,
      0.4527,
      0.5108,
      0.3264,
      0.4344,
      0.2764,
      0.4595,
      0.4212,
      0.4583,
      0.6081,
      0.3355,
      0.4645,
      0.2403,
      0.2773,
      0.609,
      0.4171,
      0.7393,
      0.4894,
      0.3646,
      0.4215,
      0.6295,
      0.5168,
      0.5912,
      0.5259,
      0.4398,
      0.3608,
      0.622,
      0.4479,
      0.3348,
      0.5916,
      0.4706,
      0.3087,
      0.5465,
      0.633,
      0.5333,
      0.502,
      0.5405,
      0.4124,
      0.637,
      0.4691,
      0.5008,
      0.4953,
      0.5694,
      0.3856,
      0.5725,
      0.6032,
      0.4423,
      0.533,
      0.5636,
      0.5481,
      0.6001,
      0.5312,
      0.5026,
      0.5561,
      0.6459,
      0.4853,
      0.4252,
      0.5586,
      0.5106,
      0.6071,
      0.4048,
      0.3242,
      0.5763,
      0.4368,
      0.3959,
      0.3057,
      0.4595,
      0.4225,
      0.3389,
      0.4359,
      0.3937,
      0.3136,
      0.3306,
      0.1719,
      0.1068,
      0.0595,
      0.0724,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3323,
      0.2217,
      0.135,
      0.5423,
      0.102,
      0.3667,
      0.1942,
      0.1913,
      0.1079,
      0.2701,
      0.3477,
      0.3211,
      0.4884,
      0.3488,
      0.402,
      0.1958,
      0.091,
      0.1168,
      0.2306,
      0.2923,
      0.0883,
      0.2679,
      0,
      0.3945,
      0.2957,
      0.2695,
      0.3284,
      0.215,
      0.1301,
      0.4593,
      0.3803,
      0.2911,
      0.3445,
      0.4616,
      0.5209,
      0.432,
      0.3087,
      0.3447,
      0.3544,
      0.3582,
      0.3653,
      0.334,
      0.4393,
      0.6284,
      0.2209,
      0.3761,
      0.2412,
      0.4063,
      0.4575,
      0.3934,
      0.2263,
      0.3939,
      0.3437,
      0.4233,
      0.3456,
      0.3723,
      0.1334,
      0.1532,
      0.3055,
      0.309,
      0.2572,
      0.3506,
      0.3343,
      0.3735,
      0.6404,
      0.5269,
      0.3568,
      0.4359,
      0.4603,
      0.2647,
      0.4004,
      0.38,
      0.5236,
      0.4305,
      0.2409,
      0.3063,
      0.349,
      0.6121,
      0.3875,
      0.463,
      0.5667,
      0.4792,
      0.4107,
      0.4972,
      0.5839,
      0.308,
      0.5715,
      0.5024,
      0.3812,
      0.4775,
      0.4308,
      0.5581,
      0.4699,
      0.4635,
      0.4891,
      0.3539,
      0.4664,
      0.3783,
      0.4888,
      0.4115,
      0.2964,
      0.709,
      0.1529,
      0.3742,
      0.3456,
      0.1538,
      0.1695,
      0.1898,
      0.1173,
      0.3837,
      0.2006,
      0.2586,
      0.2493,
      0.5315,
      0.5839,
      0.3338,
      0.5259,
      0.3024,
      0.3186,
      0.1607,
      0.2405,
      0.325,
      0.2738,
      0.2308,
      0.3256,
      0.3048,
      0.4051,
      0.5767,
      0.5115,
      0.681,
      0.4033,
      0.479,
      0.4055,
      0.3734,
      0.394,
      0.3837,
      0.6604,
      0.5967,
      0.434,
      0.3596,
      0.3871,
      0.4031,
      0.5026,
      0.3932,
      0.3291,
      0.4101,
      0.3017,
      0.6014,
      0.3196,
      0.4402,
      0.3241,
      0.3412,
      0.2784,
      0.3135,
      0.3329,
      0.2517,
      0.354,
      0.3322,
      0.4312,
      0.5194,
      0.647,
      0.6683,
      0.4663,
      0.3851,
      0.3796,
      0.3977,
      0.4849,
      0.3679,
      0.3792,
      0.5402,
      0.4001,
      0.4125,
      0.467,
      0.5994,
      0.5811,
      0.5316,
      0.5546,
      0.4756,
      0.3666,
      0.3294,
      0.4884,
      0.4671,
      0.4131,
      0.4293,
      0.4366,
      0.4427,
      0.5814,
      0.6431,
      0.5143,
      0.4834,
      0.441,
      0.4881,
      0.3611,
      0.6042,
      0.484,
      0.6053,
      0.3475,
      0.3616,
      0.2541,
      0.5301,
      0.5133,
      0.5032,
      0.4486,
      0.449,
      0.4838,
      0.443,
      0.5372,
      0.4975,
      0.3846,
      0.3174,
      0.2957,
      0.5317,
      0.565,
      0.453,
      0.6382,
      0.2723,
      0.2576,
      0.2818,
      0.3733,
      0.5062,
      0.3248,
      0.3931,
      0.3133,
      0.6046,
      0.4866,
      0.4933,
      0.6091,
      0.3724,
      0.3561,
      0.4791,
      0.3458,
      0.3981,
      0.3519,
      0.5337,
      0.4532,
      0.3386,
      0.4871,
      0.5245,
      0.5031,
      0.5961,
      0.5094,
      0.5103,
      0.4288,
      0.6333,
      0.3656,
      0.3915,
      0.614,
      0.4193,
      0.4144,
      0.3704,
      0.5812,
      0.5397,
      0.4341,
      0.5966,
      0.5252,
      0.6259,
      0.6098,
      0.3878,
      0.5257,
      0.5926,
      0.4002,
      0.6299,
      0.6338,
      0.4377,
      0.4871,
      0.4419,
      0.4863,
      0.4041,
      0.52,
      0.4546,
      0.4481,
      0.575,
      0.4361,
      0.3386,
      0.5302,
      0.4816,
      0.5575,
      0.4521,
      0.3257,
      0.4861,
      0.3573,
      0.4048,
      0.3565,
      0.3717,
      0.406,
      0.3368,
      0.4664,
      0.4034,
      0.3014,
      0.3332,
      0.1628,
      0.0974,
      0.0185,
      0.0168,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3193,
      0.2736,
      0.1508,
      0.3644,
      0.1758,
      0.3297,
      0.1035,
      0.2211,
      0.3107,
      0.2517,
      0.3588,
      0.2792,
      0.36,
      0.4072,
      0.4033,
      0.2229,
      0.0235,
      0.1918,
      0,
      0.1655,
      0.0239,
      0.2178,
      0,
      0.4206,
      0.3576,
      0.2363,
      0.4014,
      0.272,
      0.202,
      0.4483,
      0.4037,
      0.3745,
      0.3174,
      0.443,
      0.4908,
      0.4218,
      0.3192,
      0.4332,
      0.3926,
      0.3763,
      0.2846,
      0.1694,
      0.4353,
      0.609,
      0.2804,
      0.4058,
      0.2776,
      0.3439,
      0.4309,
      0.4174,
      0.2615,
      0.3962,
      0.4242,
      0.4989,
      0.4037,
      0.4279,
      0.1138,
      0.13,
      0.2862,
      0.5011,
      0.3154,
      0.4051,
      0.3499,
      0.3431,
      0.6114,
      0.5393,
      0.2998,
      0.4872,
      0.368,
      0.3105,
      0.367,
      0.3334,
      0.4286,
      0.3953,
      0.255,
      0.2402,
      0.2706,
      0.6296,
      0.3457,
      0.3225,
      0.5222,
      0.4408,
      0.3236,
      0.46,
      0.4566,
      0.2615,
      0.3072,
      0.4988,
      0.4053,
      0.4863,
      0.384,
      0.531,
      0.3917,
      0.489,
      0.377,
      0.4093,
      0.4627,
      0.4711,
      0.4337,
      0.3734,
      0.254,
      0.3298,
      0.2141,
      0.3921,
      0.4078,
      0.2304,
      0.2646,
      0.1726,
      0.1668,
      0.2875,
      0.283,
      0.2643,
      0.2496,
      0.538,
      0.5419,
      0.3238,
      0.5326,
      0.2813,
      0.4159,
      0.176,
      0.3637,
      0.2607,
      0.3154,
      0.2439,
      0.381,
      0.3717,
      0.4474,
      0.5932,
      0.4716,
      0.4319,
      0.4335,
      0.4875,
      0.4443,
      0.3784,
      0.3345,
      0.2711,
      0.601,
      0.5481,
      0.4092,
      0.3379,
      0.3905,
      0.3863,
      0.5192,
      0.4841,
      0.4008,
      0.3825,
      0.3592,
      0.3994,
      0.3284,
      0.3331,
      0.3837,
      0.3323,
      0.3145,
      0.3659,
      0.3081,
      0.2513,
      0.3555,
      0.3151,
      0.4357,
      0.5285,
      0.644,
      0.663,
      0.4585,
      0.4315,
      0.3915,
      0.4596,
      0.4524,
      0.3827,
      0.3759,
      0.6753,
      0.293,
      0.4144,
      0.4172,
      0.53,
      0.5527,
      0.4304,
      0.5134,
      0.4481,
      0.3969,
      0.3989,
      0.4838,
      0.5894,
      0.4352,
      0.3356,
      0.3887,
      0.4437,
      0.5626,
      0.6692,
      0.5157,
      0.4533,
      0.4574,
      0.4827,
      0.3394,
      0.398,
      0.4812,
      0.4533,
      0.3163,
      0.3972,
      0.2593,
      0.509,
      0.3748,
      0.4166,
      0.6395,
      0.5952,
      0.421,
      0.4636,
      0.4853,
      0.4731,
      0.3505,
      0.4249,
      0.29,
      0.5112,
      0.5581,
      0.4184,
      0.4851,
      0.1388,
      0.2567,
      0.254,
      0.3058,
      0.46,
      0.3994,
      0.3472,
      0.3498,
      0.3651,
      0.4893,
      0.484,
      0.6036,
      0.4369,
      0.39,
      0.4437,
      0.3903,
      0.4603,
      0.4484,
      0.4352,
      0.4574,
      0.3637,
      0.4803,
      0.5868,
      0.5034,
      0.4851,
      0.5193,
      0.4719,
      0.3547,
      0.482,
      0.3445,
      0.4486,
      0.3903,
      0.428,
      0.4672,
      0.4484,
      0.5976,
      0.4418,
      0.456,
      0.4137,
      0.3247,
      0.3849,
      0.5208,
      0.4054,
      0.534,
      0.5525,
      0.3882,
      0.5955,
      0.6742,
      0.4501,
      0.4946,
      0.4856,
      0.4716,
      0.4518,
      0.5547,
      0.5011,
      0.4396,
      0.4714,
      0.4232,
      0.2425,
      0.4899,
      0.4202,
      0.3924,
      0.5039,
      0.4442,
      0.4533,
      0.3907,
      0.3976,
      0.332,
      0.2457,
      0.3622,
      0.3104,
      0.2726,
      0.3676,
      0.314,
      0.3459,
      0.2307,
      0.1482,
      0.0748,
      0.023,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3053,
      0.24,
      0.0966,
      0.3249,
      0.111,
      0.3649,
      0.2818,
      0.2585,
      0.2771,
      0.3096,
      0.3616,
      0.2752,
      0.2425,
      0.35,
      0.435,
      0.2092,
      0.0565,
      0.2401,
      0.0611,
      0.1784,
      0.0277,
      0.4071,
      0,
      0.4102,
      0.4023,
      0.2491,
      0.328,
      0.2261,
      0.1419,
      0.3331,
      0.3663,
      0.3728,
      0.3077,
      0.4402,
      0.5095,
      0.4302,
      0.3412,
      0.6261,
      0.6955,
      0.3762,
      0.2508,
      0.164,
      0.4087,
      0.5929,
      0.3321,
      0.387,
      0.2642,
      0.296,
      0.6604,
      0.3482,
      0.3257,
      0.3903,
      0.7369,
      0.6768,
      0.3765,
      0.4166,
      0.1885,
      0.1291,
      0.2851,
      0.5104,
      0.3397,
      0.3897,
      0.2948,
      0.3528,
      0.6144,
      0.6373,
      0.4747,
      0.5345,
      0.4032,
      0.3297,
      0.3897,
      0.3382,
      0.3441,
      0.2634,
      0.2919,
      0.2608,
      0.251,
      0.611,
      0.4357,
      0.2377,
      0.4675,
      0.4445,
      0.3358,
      0.423,
      0.4271,
      0.3347,
      0.2939,
      0.243,
      0.3938,
      0.4948,
      0.3681,
      0.4616,
      0.4862,
      0.6447,
      0.4182,
      0.3906,
      0.4491,
      0.3818,
      0.3501,
      0.3972,
      0.2309,
      0.3228,
      0.1926,
      0.3837,
      0.323,
      0.1778,
      0.1467,
      0.1593,
      0.2031,
      0.2336,
      0.3392,
      0.2048,
      0.1537,
      0.5377,
      0.5496,
      0.4867,
      0.5077,
      0.2651,
      0.3886,
      0.1758,
      0.3203,
      0.3533,
      0.357,
      0.2481,
      0.3508,
      0.5009,
      0.4035,
      0.5972,
      0.4656,
      0.4022,
      0.3388,
      0.4703,
      0.4062,
      0.4258,
      0.3255,
      0.2204,
      0.5203,
      0.514,
      0.3601,
      0.3575,
      0.418,
      0.2835,
      0.6088,
      0.5974,
      0.355,
      0.4527,
      0.34,
      0.3758,
      0.3876,
      0.2867,
      0.2501,
      0.3283,
      0.3551,
      0.3286,
      0.2022,
      0.3146,
      0.3916,
      0.3673,
      0.4755,
      0.5728,
      0.6373,
      0.6169,
      0.4705,
      0.5226,
      0.4103,
      0.4088,
      0.4652,
      0.4166,
      0.4069,
      0.6633,
      0.3872,
      0.4639,
      0.4213,
      0.5619,
      0.6134,
      0.7426,
      0.4995,
      0.4425,
      0.2682,
      0.371,
      0.4919,
      0.7357,
      0.4453,
      0.3696,
      0.4558,
      0.4967,
      0.5312,
      0.6587,
      0.4982,
      0.5164,
      0.5331,
      0.4755,
      0.3362,
      0.3508,
      0.3242,
      0.4454,
      0.3471,
      0.415,
      0.2957,
      0.5042,
      0.3486,
      0.4803,
      0.5488,
      0.4595,
      0.4785,
      0.4789,
      0.4305,
      0.4573,
      0.4491,
      0.4206,
      0.2498,
      0.4593,
      0.5609,
      0.4538,
      0.3078,
      0.2286,
      0.2358,
      0.3156,
      0.2639,
      0.5555,
      0.4199,
      0.4242,
      0.2931,
      0.2905,
      0.4657,
      0.4935,
      0.6219,
      0.4672,
      0.4342,
      0.4412,
      0.353,
      0.4289,
      0.5142,
      0.5399,
      0.5244,
      0.3664,
      0.5603,
      0.6006,
      0.5332,
      0.5397,
      0.3774,
      0.521,
      0.4523,
      0.3809,
      0.4661,
      0.402,
      0.4242,
      0.3544,
      0.6463,
      0.4703,
      0.6493,
      0.468,
      0.4237,
      0.3157,
      0.34,
      0.3356,
      0.4247,
      0.4215,
      0.5373,
      0.5141,
      0.6813,
      0.5787,
      0.6444,
      0.4501,
      0.6681,
      0.4095,
      0.4175,
      0.4595,
      0.488,
      0.472,
      0.4271,
      0.4923,
      0.4892,
      0.4063,
      0.5961,
      0.5326,
      0.4823,
      0.5663,
      0.3676,
      0.4972,
      0.3269,
      0.3864,
      0.3705,
      0.2328,
      0.332,
      0.2964,
      0.1792,
      0.3217,
      0.2198,
      0.3179,
      0.0993,
      0.0116,
      0,
      0.0265,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3174,
      0.4631,
      0.1068,
      0.3503,
      0.0489,
      0.3851,
      0.2621,
      0.2719,
      0.0686,
      0.3237,
      0.3503,
      0.2711,
      0.2758,
      0.2164,
      0.4345,
      0.2206,
      0.1683,
      0.1927,
      0.031,
      0.196,
      0.056,
      0.4062,
      0,
      0.372,
      0.4342,
      0.2279,
      0.3233,
      0.1688,
      0.1501,
      0.3362,
      0.4018,
      0.3994,
      0.4013,
      0.4326,
      0.5117,
      0.6172,
      0.3525,
      0.7932,
      0.5664,
      0.2729,
      0.3398,
      0.2683,
      0.4414,
      0.5332,
      0.2585,
      0.3275,
      0.2213,
      0.37,
      0.7406,
      0.3393,
      0.3216,
      0.3602,
      0.4937,
      0.6368,
      0.3412,
      0.3118,
      0.2087,
      0.1299,
      0.3297,
      0.2553,
      0.3866,
      0.2475,
      0.496,
      0.3676,
      0.6708,
      0.6243,
      0.4996,
      0.4281,
      0.3682,
      0.4606,
      0.4497,
      0.4677,
      0.3535,
      0.2462,
      0.3257,
      0.254,
      0.2807,
      0.6264,
      0.5067,
      0.3213,
      0.3997,
      0.4234,
      0.3049,
      0.4115,
      0.3932,
      0.3826,
      0.2893,
      0.3204,
      0.4034,
      0.4596,
      0.3936,
      0.5792,
      0.5559,
      0.4731,
      0.4262,
      0.3848,
      0.4423,
      0.4587,
      0.32,
      0.4425,
      0.234,
      0.2908,
      0.233,
      0.2962,
      0.3849,
      0.2798,
      0.1623,
      0.0994,
      0.3038,
      0.2418,
      0.495,
      0.1808,
      0.1782,
      0.4067,
      0.5548,
      0.3549,
      0.5183,
      0.3783,
      0.3611,
      0.1903,
      0.3822,
      0.2766,
      0.3523,
      0.2276,
      0.4339,
      0.5083,
      0.4319,
      0.6323,
      0.4902,
      0.4352,
      0.4193,
      0.4449,
      0.3853,
      0.4301,
      0.2585,
      0.2063,
      0.5078,
      0.5163,
      0.3766,
      0.4334,
      0.4605,
      0.3296,
      0.6121,
      0.5961,
      0.3598,
      0.4513,
      0.3741,
      0.3005,
      0.3302,
      0.3466,
      0.2642,
      0.3907,
      0.4106,
      0.3097,
      0.284,
      0.3164,
      0.382,
      0.2124,
      0.5149,
      0.5038,
      0.6258,
      0.556,
      0.3775,
      0.5901,
      0.4019,
      0.3062,
      0.4042,
      0.4448,
      0.3773,
      0.6111,
      0.4856,
      0.4817,
      0.3509,
      0.5827,
      0.5626,
      0.5698,
      0.4212,
      0.4427,
      0.3066,
      0.5152,
      0.4725,
      0.6483,
      0.4165,
      0.3105,
      0.352,
      0.7391,
      0.582,
      0.5919,
      0.5675,
      0.6302,
      0.5151,
      0.4373,
      0.3488,
      0.3097,
      0.5141,
      0.3962,
      0.2893,
      0.3545,
      0.3998,
      0.3942,
      0.3211,
      0.5287,
      0.3528,
      0.4291,
      0.3569,
      0.491,
      0.4614,
      0.417,
      0.4767,
      0.325,
      0.1829,
      0.4343,
      0.5835,
      0.4938,
      0.3693,
      0.1897,
      0.406,
      0.2877,
      0.3154,
      0.4107,
      0.3532,
      0.4182,
      0.45,
      0.2797,
      0.5039,
      0.5099,
      0.5437,
      0.4895,
      0.5262,
      0.3865,
      0.3928,
      0.4636,
      0.3752,
      0.5348,
      0.6887,
      0.4004,
      0.5624,
      0.7799,
      0.4494,
      0.5745,
      0.427,
      0.5418,
      0.7093,
      0.506,
      0.746,
      0.554,
      0.4533,
      0.345,
      0.7408,
      0.5479,
      0.5917,
      0.4583,
      0.3239,
      0.4085,
      0.3276,
      0.339,
      0.4061,
      0.4867,
      0.4475,
      0.4596,
      0.7295,
      0.5528,
      0.5859,
      0.4153,
      0.589,
      0.4099,
      0.5851,
      0.7402,
      0.475,
      0.423,
      0.4007,
      0.5297,
      0.5367,
      0.39,
      0.5207,
      0.5949,
      0.5395,
      0.5308,
      0.4896,
      0.4287,
      0.3138,
      0.4001,
      0.3479,
      0.2031,
      0.3483,
      0.2986,
      0.1772,
      0.313,
      0.1886,
      0.304,
      0.2856,
      0.0023,
      0.0339,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3119,
      0.5628,
      0.261,
      0.3494,
      0.1205,
      0.3364,
      0.0678,
      0.2809,
      0.0663,
      0.2363,
      0.3303,
      0.3435,
      0.255,
      0.3641,
      0.7076,
      0.253,
      0.3021,
      0.2492,
      0,
      0.1545,
      0.0644,
      0.1621,
      0,
      0.3839,
      0.4522,
      0.257,
      0.2741,
      0.3727,
      0.1218,
      0.3859,
      0.3758,
      0.3842,
      0.3556,
      0.4343,
      0.5186,
      0.4593,
      0.5097,
      0.5655,
      0.328,
      0.4528,
      0.4037,
      0.3652,
      0.4218,
      0.476,
      0.2257,
      0.369,
      0.1871,
      0.3879,
      0.4683,
      0.5989,
      0.4076,
      0.3842,
      0.3687,
      0.373,
      0.24,
      0.2434,
      0.1509,
      0.07,
      0.3416,
      0.3041,
      0.4078,
      0.2441,
      0.5818,
      0.3512,
      0.5974,
      0.595,
      0.4048,
      0.3338,
      0.6434,
      0.5238,
      0.4176,
      0.2819,
      0.4467,
      0.2605,
      0.4267,
      0.5368,
      0.5601,
      0.6597,
      0.5966,
      0.5864,
      0.3269,
      0.7624,
      0.4953,
      0.437,
      0.5329,
      0.2211,
      0.3596,
      0.5381,
      0.4389,
      0.3796,
      0.5283,
      0.5609,
      0.5719,
      0.4234,
      0.5701,
      0.3906,
      0.519,
      0.4154,
      0.3237,
      0.3554,
      0.2332,
      0.2475,
      0.3619,
      0.3373,
      0.6925,
      0.3109,
      0.19,
      0.1439,
      0.6037,
      0.3294,
      0.4968,
      0.257,
      0.1855,
      0.3852,
      0.4916,
      0.2784,
      0.5473,
      0.3521,
      0.5434,
      0.231,
      0.4213,
      0.3944,
      0.5328,
      0.1725,
      0.6381,
      0.4939,
      0.7428,
      0.6433,
      0.7254,
      0.3503,
      0.5791,
      0.4574,
      0.4916,
      0.5676,
      0.3408,
      0.2641,
      0.5112,
      0.564,
      0.3535,
      0.3907,
      0.6581,
      0.3769,
      0.5931,
      0.5454,
      0.2565,
      0.4084,
      0.3963,
      0.309,
      0.389,
      0.268,
      0.2795,
      0.3216,
      0.2733,
      0.342,
      0.4811,
      0.3081,
      0.4419,
      0.3016,
      0.5504,
      0.502,
      0.5989,
      0.5377,
      0.6924,
      0.6442,
      0.5112,
      0.5668,
      0.4439,
      0.6212,
      0.4521,
      0.4643,
      0.5906,
      0.2738,
      0.3807,
      0.5731,
      0.5747,
      0.4987,
      0.4637,
      0.4898,
      0.3998,
      0.6352,
      0.4657,
      0.4361,
      0.4116,
      0.2954,
      0.3586,
      0.4851,
      0.5177,
      0.5982,
      0.5428,
      0.7268,
      0.6312,
      0.6928,
      0.424,
      0.5687,
      0.5067,
      0.4619,
      0.2688,
      0.5965,
      0.325,
      0.5721,
      0.5336,
      0.5832,
      0.5697,
      0.378,
      0.5755,
      0.4773,
      0.4617,
      0.579,
      0.3164,
      0.2701,
      0.1664,
      0.4346,
      0.6076,
      0.5037,
      0.4194,
      0.4304,
      0.2332,
      0.3275,
      0.4327,
      0.3208,
      0.3351,
      0.4961,
      0.6922,
      0.3349,
      0.3983,
      0.5037,
      0.5087,
      0.3841,
      0.7097,
      0.2536,
      0.3073,
      0.6116,
      0.4633,
      0.605,
      0.6796,
      0.466,
      0.5138,
      0.6067,
      0.4369,
      0.6371,
      0.4241,
      0.5479,
      0.662,
      0.5447,
      0.6553,
      0.7687,
      0.5559,
      0.3461,
      0.7032,
      0.4845,
      0.5566,
      0.4708,
      0.373,
      0.548,
      0.2938,
      0.3614,
      0.5771,
      0.5366,
      0.5525,
      0.5556,
      0.6794,
      0.5358,
      0.598,
      0.5168,
      0.5131,
      0.4236,
      0.7094,
      0.4257,
      0.5021,
      0.4139,
      0.3833,
      0.6092,
      0.6007,
      0.3219,
      0.461,
      0.6757,
      0.5661,
      0.5049,
      0.5464,
      0.4223,
      0.2512,
      0.5237,
      0.3459,
      0.2266,
      0.3222,
      0.427,
      0.1614,
      0.3325,
      0.1362,
      0.3369,
      0.3897,
      0,
      0.1953,
      0,
      0.0277,
      0,
      0,
      0,
      0,
      0,
      0.3439,
      0.2312,
      0.2683,
      0.3008,
      0.0766,
      0.2674,
      0.1211,
      0.1572,
      0.1224,
      0.1596,
      0.3185,
      0.3286,
      0.2537,
      0.3645,
      0.6562,
      0.2415,
      0.3025,
      0.1656,
      0.0901,
      0.2031,
      0.2088,
      0.1761,
      0,
      0.3611,
      0.5821,
      0.1944,
      0.2789,
      0.2977,
      0.1504,
      0.4211,
      0.4042,
      0.3639,
      0.3747,
      0.3245,
      0.429,
      0.4678,
      0.6487,
      0.5868,
      0.2739,
      0.4878,
      0.5137,
      0.4475,
      0.3421,
      0.4904,
      0.1863,
      0.3822,
      0.2315,
      0.3869,
      0.4086,
      0.6922,
      0.3909,
      0.4385,
      0.3476,
      0.3952,
      0.2725,
      0.1857,
      0.1307,
      0.0852,
      0.3123,
      0.2606,
      0.3554,
      0.1975,
      0.5223,
      0.3046,
      0.5632,
      0.5466,
      0.6451,
      0.4311,
      0.6418,
      0.5109,
      0.45,
      0.2783,
      0.4417,
      0.351,
      0.5518,
      0.518,
      0.4054,
      0.5686,
      0.5362,
      0.5803,
      0.418,
      0.7597,
      0.3755,
      0.3927,
      0.6515,
      0.2856,
      0.451,
      0.4081,
      0.3447,
      0.4874,
      0.3548,
      0.6536,
      0.4656,
      0.4151,
      0.6224,
      0.3936,
      0.5121,
      0.441,
      0.3533,
      0.4022,
      0.1914,
      0.2747,
      0.4018,
      0.3908,
      0.3111,
      0.2369,
      0.181,
      0.1472,
      0.2923,
      0.2443,
      0.2987,
      0.2681,
      0.1696,
      0.4198,
      0.5509,
      0.2275,
      0.5318,
      0.4533,
      0.2985,
      0.2158,
      0.4488,
      0.352,
      0.5867,
      0.1262,
      0.7252,
      0.3925,
      0.4761,
      0.5589,
      0.5573,
      0.3823,
      0.4509,
      0.4232,
      0.3343,
      0.5052,
      0.2384,
      0.2597,
      0.467,
      0.5692,
      0.3886,
      0.3832,
      0.7471,
      0.3623,
      0.4801,
      0.5147,
      0.2606,
      0.3887,
      0.4508,
      0.2969,
      0.3835,
      0.4063,
      0.4243,
      0.4609,
      0.2514,
      0.4818,
      0.5045,
      0.297,
      0.4433,
      0.262,
      0.5554,
      0.4567,
      0.5494,
      0.5577,
      0.7086,
      0.4506,
      0.638,
      0.4746,
      0.4243,
      0.6512,
      0.608,
      0.4417,
      0.5885,
      0.2312,
      0.4361,
      0.4828,
      0.4798,
      0.4471,
      0.4867,
      0.5416,
      0.3342,
      0.7164,
      0.4704,
      0.4061,
      0.4202,
      0.2681,
      0.37,
      0.4667,
      0.5191,
      0.517,
      0.5589,
      0.5222,
      0.6622,
      0.6278,
      0.4641,
      0.4983,
      0.3967,
      0.5082,
      0.2159,
      0.3957,
      0.4844,
      0.5063,
      0.4496,
      0.5114,
      0.423,
      0.2674,
      0.8045,
      0.4325,
      0.4716,
      0.407,
      0.2709,
      0.4006,
      0.2723,
      0.4636,
      0.5988,
      0.442,
      0.5714,
      0.4586,
      0.2505,
      0.2438,
      0.3587,
      0.3107,
      0.376,
      0.4789,
      0.5683,
      0.2971,
      0.5046,
      0.4673,
      0.579,
      0.3882,
      0.7398,
      0.3164,
      0.3498,
      0.6542,
      0.434,
      0.6687,
      0.537,
      0.5876,
      0.4558,
      0.5322,
      0.4798,
      0.6405,
      0.582,
      0.5103,
      0.3643,
      0.5628,
      0.4444,
      0.6484,
      0.5487,
      0.4039,
      0.5868,
      0.5777,
      0.5548,
      0.5516,
      0.4482,
      0.6025,
      0.4685,
      0.4175,
      0.4409,
      0.5443,
      0.5422,
      0.5656,
      0.6201,
      0.5482,
      0.5935,
      0.5334,
      0.5038,
      0.6168,
      0.5237,
      0.4182,
      0.4914,
      0.4133,
      0.484,
      0.6169,
      0.6957,
      0.3973,
      0.6382,
      0.6685,
      0.4187,
      0.5234,
      0.6816,
      0.622,
      0.3333,
      0.3531,
      0.3295,
      0.3098,
      0.3826,
      0.2965,
      0.2223,
      0.3065,
      0.1599,
      0.3135,
      0.1028,
      0.0543,
      0.249,
      0,
      0.0663,
      0,
      0,
      0,
      0,
      0,
      0.3569,
      0.2138,
      0.3194,
      0.2463,
      0.1849,
      0.3099,
      0.0976,
      0.2191,
      0.062,
      0.0639,
      0.3003,
      0.3588,
      0.4974,
      0.3617,
      0.523,
      0.1752,
      0.0898,
      0.1527,
      0.1366,
      0.1844,
      0.2204,
      0.1003,
      0,
      0.3556,
      0.7558,
      0.3278,
      0.3148,
      0.2753,
      0.1146,
      0.3445,
      0.4753,
      0.3895,
      0.3143,
      0.4241,
      0.5332,
      0.4551,
      0.4554,
      0.3153,
      0.3372,
      0.3783,
      0.3531,
      0.4707,
      0.2998,
      0.5111,
      0.2247,
      0.4013,
      0.2659,
      0.3305,
      0.4329,
      0.412,
      0.3152,
      0.2847,
      0.4004,
      0.4544,
      0.2827,
      0.2632,
      0.0825,
      0.0846,
      0.3035,
      0.2635,
      0.3787,
      0.2659,
      0.5267,
      0.2847,
      0.5235,
      0.4809,
      0.6893,
      0.4233,
      0.4703,
      0.4398,
      0.3857,
      0.3722,
      0.4221,
      0.2795,
      0.28,
      0.2584,
      0.3676,
      0.5535,
      0.5137,
      0.6271,
      0.4123,
      0.4622,
      0.395,
      0.4314,
      0.4714,
      0.2881,
      0.5362,
      0.2286,
      0.3589,
      0.5584,
      0.3174,
      0.7051,
      0.334,
      0.4772,
      0.6074,
      0.303,
      0.423,
      0.5293,
      0.3107,
      0.39,
      0.2428,
      0.2358,
      0.2579,
      0.5009,
      0.3596,
      0.1889,
      0.1313,
      0.1958,
      0.174,
      0.3001,
      0.2129,
      0.6283,
      0.2141,
      0.4761,
      0.5529,
      0.3202,
      0.3898,
      0.4039,
      0.3601,
      0.2552,
      0.3971,
      0.3836,
      0.4439,
      0.1865,
      0.4001,
      0.2054,
      0.4133,
      0.5222,
      0.4531,
      0.2805,
      0.4647,
      0.3481,
      0.3419,
      0.3628,
      0.3079,
      0.2386,
      0.6315,
      0.5361,
      0.3419,
      0.4178,
      0.3899,
      0.2848,
      0.5011,
      0.5033,
      0.2625,
      0.3792,
      0.5326,
      0.2891,
      0.3365,
      0.2993,
      0.316,
      0.5196,
      0.2236,
      0.27,
      0.2576,
      0.2607,
      0.2578,
      0.3112,
      0.4831,
      0.4745,
      0.5836,
      0.4641,
      0.5282,
      0.3185,
      0.6535,
      0.3312,
      0.3844,
      0.6087,
      0.7517,
      0.3933,
      0.5365,
      0.2433,
      0.3556,
      0.5409,
      0.4826,
      0.5074,
      0.6466,
      0.5748,
      0.3369,
      0.5957,
      0.4464,
      0.388,
      0.3902,
      0.3007,
      0.3794,
      0.4243,
      0.4077,
      0.5133,
      0.5388,
      0.3863,
      0.2984,
      0.4774,
      0.2946,
      0.3985,
      0.3998,
      0.4554,
      0.2093,
      0.3166,
      0.1914,
      0.4499,
      0.3892,
      0.4619,
      0.3305,
      0.417,
      0.612,
      0.4049,
      0.4144,
      0.4183,
      0.2892,
      0.3782,
      0.2814,
      0.4005,
      0.5524,
      0.4009,
      0.6499,
      0.256,
      0.1495,
      0.2547,
      0.4127,
      0.3488,
      0.4565,
      0.4259,
      0.4207,
      0.2033,
      0.4486,
      0.4853,
      0.543,
      0.365,
      0.6837,
      0.3176,
      0.3623,
      0.564,
      0.3169,
      0.7342,
      0.3228,
      0.4004,
      0.5678,
      0.5187,
      0.7046,
      0.6143,
      0.6452,
      0.4788,
      0.4078,
      0.6252,
      0.391,
      0.3887,
      0.6375,
      0.3881,
      0.4071,
      0.6011,
      0.4901,
      0.4682,
      0.3781,
      0.5185,
      0.4641,
      0.5569,
      0.5252,
      0.4694,
      0.4652,
      0.4931,
      0.5835,
      0.5699,
      0.5373,
      0.4916,
      0.4157,
      0.3834,
      0.4159,
      0.3983,
      0.3771,
      0.5297,
      0.3509,
      0.5661,
      0.5512,
      0.2373,
      0.675,
      0.5919,
      0.4455,
      0.4645,
      0.4388,
      0.6565,
      0.2367,
      0.3495,
      0.3104,
      0.2732,
      0.4101,
      0.2957,
      0.2138,
      0.338,
      0.1289,
      0.3043,
      0.1339,
      0,
      0,
      0.0609,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2333,
      0.1942,
      0.2119,
      0.5037,
      0.1795,
      0.2898,
      0.216,
      0.2788,
      0.1534,
      0.124,
      0.3183,
      0.3273,
      0.3692,
      0.5233,
      0.4394,
      0.1947,
      0.1031,
      0.206,
      0,
      0.0255,
      0.0894,
      0.167,
      0,
      0.3339,
      0.5432,
      0.2779,
      0.3669,
      0.2262,
      0.1762,
      0.3089,
      0.4467,
      0.3706,
      0.3727,
      0.4471,
      0.5272,
      0.4095,
      0.3513,
      0.4684,
      0.4079,
      0.2447,
      0.2342,
      0.534,
      0.3907,
      0.4991,
      0.284,
      0.4225,
      0.2074,
      0.3777,
      0.4232,
      0.4233,
      0.25,
      0.2998,
      0.4118,
      0.5634,
      0.323,
      0.3043,
      0.1624,
      0.1819,
      0.2349,
      0.3575,
      0.414,
      0.3454,
      0.4451,
      0.4277,
      0.5254,
      0.5372,
      0.4078,
      0.4224,
      0.4907,
      0.3356,
      0.3192,
      0.4393,
      0.3105,
      0.2818,
      0.2787,
      0.359,
      0.2756,
      0.569,
      0.4243,
      0.4739,
      0.4078,
      0.46,
      0.428,
      0.4211,
      0.4519,
      0.3112,
      0.2726,
      0.2373,
      0.3802,
      0.5882,
      0.4083,
      0.6907,
      0.328,
      0.4594,
      0.5315,
      0.3616,
      0.3968,
      0.4327,
      0.428,
      0.4365,
      0.2429,
      0.2297,
      0.2258,
      0.6542,
      0.3726,
      0.1853,
      0.1891,
      0.1241,
      0.1868,
      0.3559,
      0.2711,
      0.6817,
      0.2701,
      0.5044,
      0.5504,
      0.4782,
      0.4752,
      0.3024,
      0.3176,
      0.2905,
      0.2688,
      0.3324,
      0.3829,
      0.285,
      0.3363,
      0.2361,
      0.3583,
      0.553,
      0.4539,
      0.4077,
      0.4282,
      0.6431,
      0.3479,
      0.3673,
      0.3591,
      0.3268,
      0.4798,
      0.6443,
      0.3229,
      0.4284,
      0.4124,
      0.3723,
      0.4534,
      0.478,
      0.3315,
      0.423,
      0.65,
      0.3065,
      0.2331,
      0.2646,
      0.2147,
      0.475,
      0.2855,
      0.3045,
      0.2181,
      0.2924,
      0.3498,
      0.3174,
      0.5019,
      0.4668,
      0.6322,
      0.7204,
      0.4395,
      0.3343,
      0.4258,
      0.3329,
      0.3915,
      0.563,
      0.6674,
      0.5515,
      0.3891,
      0.3698,
      0.3565,
      0.4893,
      0.6026,
      0.5325,
      0.757,
      0.6161,
      0.3613,
      0.3365,
      0.4426,
      0.458,
      0.3022,
      0.3596,
      0.3533,
      0.458,
      0.5458,
      0.563,
      0.5868,
      0.3816,
      0.404,
      0.4194,
      0.4204,
      0.5235,
      0.3756,
      0.2983,
      0.3878,
      0.3409,
      0.2873,
      0.4303,
      0.3448,
      0.4752,
      0.5294,
      0.5183,
      0.4284,
      0.4402,
      0.5262,
      0.4766,
      0.4018,
      0.4022,
      0.2672,
      0.4821,
      0.5732,
      0.3402,
      0.6887,
      0.2012,
      0.1416,
      0.2519,
      0.5656,
      0.4983,
      0.5099,
      0.3673,
      0.3489,
      0.1776,
      0.4344,
      0.445,
      0.5551,
      0.404,
      0.5351,
      0.4899,
      0.3948,
      0.3304,
      0.357,
      0.6745,
      0.3598,
      0.451,
      0.5185,
      0.5427,
      0.5751,
      0.5179,
      0.5432,
      0.4539,
      0.3911,
      0.7011,
      0.366,
      0.3219,
      0.6598,
      0.4334,
      0.4708,
      0.6396,
      0.6242,
      0.5243,
      0.4184,
      0.4638,
      0.5141,
      0.4813,
      0.5785,
      0.4337,
      0.4605,
      0.5083,
      0.5714,
      0.5399,
      0.5831,
      0.4599,
      0.5464,
      0.4441,
      0.5013,
      0.4537,
      0.4802,
      0.4486,
      0.4303,
      0.553,
      0.3511,
      0.3679,
      0.4968,
      0.4147,
      0.5552,
      0.4557,
      0.5311,
      0.6038,
      0.3787,
      0.4454,
      0.355,
      0.3693,
      0.3794,
      0.3216,
      0.2745,
      0.351,
      0.1716,
      0.2847,
      0.146,
      0.0627,
      0.0296,
      0.1509,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2312,
      0.2636,
      0.2375,
      0.488,
      0.1035,
      0.1995,
      0.0711,
      0.242,
      0.1228,
      0.1197,
      0.3176,
      0.2384,
      0.207,
      0.5679,
      0.3186,
      0.2086,
      0.1435,
      0.2695,
      0.0183,
      0.1418,
      0.041,
      0.3309,
      0,
      0.3595,
      0.4055,
      0.2027,
      0.3033,
      0.194,
      0.1493,
      0.4497,
      0.4475,
      0.3584,
      0.3132,
      0.3906,
      0.468,
      0.4528,
      0.3536,
      0.3419,
      0.3554,
      0.2794,
      0.2496,
      0.425,
      0.4159,
      0.5067,
      0.4622,
      0.3906,
      0.2381,
      0.3417,
      0.4333,
      0.4321,
      0.2464,
      0.3868,
      0.4282,
      0.4604,
      0.2723,
      0.3018,
      0.0519,
      0.1041,
      0.1575,
      0.4014,
      0.4576,
      0.3784,
      0.3425,
      0.462,
      0.5172,
      0.5597,
      0.4047,
      0.4436,
      0.4452,
      0.2961,
      0.4052,
      0.3974,
      0.367,
      0.3772,
      0.3174,
      0.3351,
      0.3404,
      0.5527,
      0.3729,
      0.3307,
      0.3489,
      0.4665,
      0.3192,
      0.3935,
      0.3763,
      0.3154,
      0.3158,
      0.5337,
      0.3802,
      0.5731,
      0.3632,
      0.6703,
      0.3331,
      0.4025,
      0.4067,
      0.3819,
      0.353,
      0.4331,
      0.4703,
      0.3902,
      0.4156,
      0.2942,
      0.2518,
      0.451,
      0.3375,
      0.1689,
      0.1654,
      0.1695,
      0.1513,
      0.3018,
      0.2552,
      0.225,
      0.2102,
      0.5247,
      0.487,
      0.286,
      0.4824,
      0.3669,
      0.3748,
      0.3123,
      0.3442,
      0.3463,
      0.3678,
      0.2484,
      0.2916,
      0.1819,
      0.2938,
      0.5761,
      0.4793,
      0.4082,
      0.357,
      0.5495,
      0.3314,
      0.3187,
      0.334,
      0.3038,
      0.3949,
      0.5097,
      0.3563,
      0.5552,
      0.4223,
      0.354,
      0.3721,
      0.4774,
      0.3736,
      0.4654,
      0.652,
      0.3614,
      0.3845,
      0.3074,
      0.3095,
      0.3961,
      0.3916,
      0.3835,
      0.3335,
      0.3263,
      0.2659,
      0.3333,
      0.5619,
      0.5113,
      0.6741,
      0.6696,
      0.4247,
      0.3639,
      0.3619,
      0.3067,
      0.3955,
      0.4992,
      0.356,
      0.5288,
      0.2807,
      0.3873,
      0.3026,
      0.5231,
      0.5713,
      0.429,
      0.6998,
      0.5697,
      0.3139,
      0.2957,
      0.447,
      0.4499,
      0.2941,
      0.4224,
      0.4376,
      0.4842,
      0.5676,
      0.5207,
      0.5215,
      0.3768,
      0.4381,
      0.4482,
      0.4069,
      0.5007,
      0.4984,
      0.3825,
      0.3488,
      0.3876,
      0.351,
      0.4314,
      0.2728,
      0.5451,
      0.5651,
      0.3893,
      0.5168,
      0.5079,
      0.4734,
      0.4924,
      0.3956,
      0.4625,
      0.3747,
      0.4691,
      0.5806,
      0.409,
      0.7008,
      0.2345,
      0.1685,
      0.2737,
      0.5178,
      0.3996,
      0.3846,
      0.3309,
      0.3307,
      0.2001,
      0.3984,
      0.502,
      0.5288,
      0.4317,
      0.4285,
      0.3656,
      0.4765,
      0.3336,
      0.3902,
      0.4963,
      0.3608,
      0.4045,
      0.4461,
      0.5032,
      0.5314,
      0.6089,
      0.5731,
      0.4673,
      0.4133,
      0.7214,
      0.3248,
      0.4192,
      0.638,
      0.3347,
      0.368,
      0.6197,
      0.6251,
      0.5015,
      0.4824,
      0.5126,
      0.3937,
      0.4259,
      0.5473,
      0.4544,
      0.5014,
      0.4015,
      0.4421,
      0.5011,
      0.5798,
      0.4324,
      0.5276,
      0.5518,
      0.4664,
      0.4812,
      0.5311,
      0.4454,
      0.4826,
      0.5287,
      0.4049,
      0.4182,
      0.4677,
      0.4988,
      0.5885,
      0.385,
      0.4892,
      0.5329,
      0.3046,
      0.4369,
      0.3044,
      0.3751,
      0.3685,
      0.2892,
      0.3288,
      0.3784,
      0.2456,
      0.3191,
      0.216,
      0.0922,
      0.045,
      0.0282,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2766,
      0.2189,
      0.2458,
      0.3158,
      0.0428,
      0.2187,
      0.1146,
      0.2434,
      0.1358,
      0.1426,
      0.3331,
      0.2041,
      0.2024,
      0.4538,
      0.289,
      0.1357,
      0.1637,
      0.2291,
      0.0499,
      0.0791,
      0,
      0.1899,
      0,
      0.3859,
      0.4407,
      0.2745,
      0.3017,
      0.1717,
      0.1027,
      0.4174,
      0.3918,
      0.3933,
      0.302,
      0.3657,
      0.5326,
      0.3965,
      0.3351,
      0.4108,
      0.3431,
      0.207,
      0.2144,
      0.2544,
      0.3899,
      0.5463,
      0.388,
      0.3342,
      0.1747,
      0.3672,
      0.3953,
      0.3749,
      0.1971,
      0.4054,
      0.4125,
      0.4018,
      0.2816,
      0.276,
      0.1239,
      0.098,
      0.2133,
      0.269,
      0.5058,
      0.2969,
      0.2881,
      0.3272,
      0.5804,
      0.5422,
      0.4077,
      0.4244,
      0.3837,
      0.3492,
      0.4706,
      0.3545,
      0.4016,
      0.3075,
      0.2802,
      0.2496,
      0.2995,
      0.5583,
      0.2937,
      0.3447,
      0.3391,
      0.4905,
      0.346,
      0.4288,
      0.401,
      0.3071,
      0.3195,
      0.1965,
      0.3764,
      0.5473,
      0.3571,
      0.4959,
      0.4344,
      0.4225,
      0.3716,
      0.3537,
      0.3743,
      0.3422,
      0.4953,
      0.4019,
      0.6302,
      0.307,
      0.2266,
      0.4118,
      0.3329,
      0.1643,
      0.1188,
      0.0989,
      0.2339,
      0.2436,
      0.2618,
      0.2369,
      0.1265,
      0.5564,
      0.4482,
      0.2781,
      0.4201,
      0.2828,
      0.3166,
      0.2901,
      0.3487,
      0.2836,
      0.2716,
      0.1739,
      0.2925,
      0.2418,
      0.3772,
      0.4836,
      0.3885,
      0.3906,
      0.3516,
      0.4521,
      0.3968,
      0.3813,
      0.2995,
      0.3173,
      0.4436,
      0.4897,
      0.348,
      0.339,
      0.4206,
      0.3084,
      0.4147,
      0.5242,
      0.4202,
      0.4406,
      0.3006,
      0.4264,
      0.3133,
      0.33,
      0.2951,
      0.3399,
      0.3408,
      0.3148,
      0.2789,
      0.294,
      0.2304,
      0.2704,
      0.5435,
      0.5434,
      0.6392,
      0.6332,
      0.3996,
      0.4336,
      0.4304,
      0.2672,
      0.4534,
      0.3903,
      0.4164,
      0.5638,
      0.243,
      0.3448,
      0.3498,
      0.4425,
      0.574,
      0.3914,
      0.6703,
      0.5297,
      0.3331,
      0.296,
      0.4879,
      0.4448,
      0.4101,
      0.428,
      0.4614,
      0.4391,
      0.5626,
      0.5633,
      0.4668,
      0.3547,
      0.4347,
      0.4615,
      0.3829,
      0.3744,
      0.4287,
      0.4238,
      0.3528,
      0.4084,
      0.4885,
      0.3983,
      0.3596,
      0.5434,
      0.3298,
      0.3734,
      0.5114,
      0.4463,
      0.4534,
      0.4878,
      0.3265,
      0.3181,
      0.3087,
      0.4914,
      0.5968,
      0.4422,
      0.5553,
      0.2392,
      0.1461,
      0.2737,
      0.4076,
      0.6108,
      0.2267,
      0.2769,
      0.2808,
      0.1762,
      0.4513,
      0.5082,
      0.5235,
      0.405,
      0.4172,
      0.3365,
      0.5654,
      0.3253,
      0.2954,
      0.4077,
      0.2524,
      0.3871,
      0.4776,
      0.4923,
      0.4937,
      0.5769,
      0.6279,
      0.5363,
      0.4082,
      0.7046,
      0.2916,
      0.3623,
      0.4927,
      0.384,
      0.3793,
      0.421,
      0.6294,
      0.453,
      0.4283,
      0.4577,
      0.334,
      0.3263,
      0.4227,
      0.543,
      0.4626,
      0.5035,
      0.5101,
      0.45,
      0.5472,
      0.406,
      0.4415,
      0.5351,
      0.4584,
      0.5455,
      0.5506,
      0.5169,
      0.5486,
      0.4017,
      0.4169,
      0.4361,
      0.4888,
      0.4969,
      0.5707,
      0.4303,
      0.4773,
      0.4554,
      0.3472,
      0.4271,
      0.3759,
      0.3003,
      0.332,
      0.3015,
      0.3598,
      0.367,
      0.2716,
      0.2259,
      0.1481,
      0.109,
      0.0173,
      0.0421,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1777,
      0.2249,
      0.2923,
      0.241,
      0.0401,
      0.184,
      0.0998,
      0.2583,
      0.0542,
      0.2541,
      0.3343,
      0.1909,
      0.228,
      0.3232,
      0.3931,
      0.081,
      0.2139,
      0.1354,
      0,
      0.0915,
      0,
      0.1697,
      0,
      0.3954,
      0.413,
      0.2703,
      0.282,
      0.2212,
      0.1798,
      0.4016,
      0.3879,
      0.2894,
      0.3337,
      0.2775,
      0.5175,
      0.5712,
      0.3277,
      0.3723,
      0.4045,
      0.1941,
      0.2046,
      0.2383,
      0.3163,
      0.5339,
      0.33,
      0.3782,
      0.2075,
      0.2838,
      0.4202,
      0.4089,
      0.2359,
      0.4132,
      0.4063,
      0.4665,
      0.3454,
      0.2957,
      0.1295,
      0.1416,
      0.1603,
      0.3265,
      0.4627,
      0.2413,
      0.3762,
      0.3166,
      0.5343,
      0.5656,
      0.3243,
      0.4483,
      0.5185,
      0.5914,
      0.4663,
      0.4492,
      0.4007,
      0.3333,
      0.2432,
      0.2421,
      0.327,
      0.5186,
      0.4248,
      0.4007,
      0.3103,
      0.4544,
      0.3234,
      0.4078,
      0.3845,
      0.265,
      0.2916,
      0.3672,
      0.4299,
      0.5315,
      0.3625,
      0.5101,
      0.4078,
      0.4325,
      0.3958,
      0.4422,
      0.4779,
      0.3008,
      0.4884,
      0.321,
      0.328,
      0.3463,
      0.193,
      0.3802,
      0.336,
      0.1845,
      0.1924,
      0.0903,
      0.1535,
      0.2209,
      0.264,
      0.2604,
      0.1357,
      0.5358,
      0.4892,
      0.2711,
      0.5577,
      0.2886,
      0.2709,
      0.2215,
      0.3278,
      0.267,
      0.2364,
      0.1955,
      0.1772,
      0.2405,
      0.3383,
      0.537,
      0.4104,
      0.357,
      0.3259,
      0.4314,
      0.3891,
      0.3272,
      0.231,
      0.2463,
      0.4386,
      0.5301,
      0.3137,
      0.3654,
      0.3011,
      0.3064,
      0.3857,
      0.3903,
      0.4179,
      0.4621,
      0.2477,
      0.4475,
      0.3625,
      0.2771,
      0.2968,
      0.35,
      0.2777,
      0.2876,
      0.2567,
      0.2796,
      0.2876,
      0.3114,
      0.5224,
      0.5397,
      0.5463,
      0.5708,
      0.4291,
      0.5324,
      0.4029,
      0.3063,
      0.4344,
      0.3619,
      0.4438,
      0.4312,
      0.2212,
      0.3481,
      0.347,
      0.4398,
      0.5144,
      0.3653,
      0.6075,
      0.5136,
      0.3045,
      0.3147,
      0.4293,
      0.4232,
      0.3663,
      0.3973,
      0.343,
      0.6639,
      0.5734,
      0.5368,
      0.5474,
      0.3424,
      0.4849,
      0.4716,
      0.5324,
      0.353,
      0.3642,
      0.4358,
      0.3027,
      0.3721,
      0.4226,
      0.3341,
      0.3892,
      0.4268,
      0.3312,
      0.3359,
      0.426,
      0.4084,
      0.4821,
      0.493,
      0.3363,
      0.3463,
      0.3196,
      0.4385,
      0.5705,
      0.4248,
      0.3159,
      0.2303,
      0.1327,
      0.2107,
      0.2337,
      0.6795,
      0.2792,
      0.2956,
      0.2804,
      0.2183,
      0.4255,
      0.4789,
      0.5224,
      0.3921,
      0.4184,
      0.2421,
      0.6048,
      0.5605,
      0.4386,
      0.4225,
      0.3646,
      0.2868,
      0.5288,
      0.4745,
      0.4644,
      0.5143,
      0.5402,
      0.5841,
      0.3968,
      0.5616,
      0.2948,
      0.4247,
      0.4227,
      0.3959,
      0.384,
      0.4163,
      0.6604,
      0.4627,
      0.3774,
      0.5175,
      0.3908,
      0.3644,
      0.334,
      0.4957,
      0.4293,
      0.4595,
      0.4329,
      0.4727,
      0.5315,
      0.4841,
      0.4663,
      0.4346,
      0.4356,
      0.5477,
      0.5324,
      0.5123,
      0.5023,
      0.2624,
      0.4343,
      0.4263,
      0.4714,
      0.5563,
      0.5459,
      0.4359,
      0.4237,
      0.4214,
      0.3309,
      0.4273,
      0.3322,
      0.3513,
      0.3304,
      0.314,
      0.3284,
      0.3965,
      0.2678,
      0.2999,
      0.189,
      0.0114,
      0.0652,
      0.0253,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2779,
      0.5241,
      0.4098,
      0.2604,
      0.0996,
      0.1437,
      0.0817,
      0.1966,
      0.094,
      0.0653,
      0.3558,
      0.1091,
      0.1624,
      0.3613,
      0.4536,
      0.1288,
      0.3322,
      0.1383,
      0,
      0.0977,
      0.061,
      0.0673,
      0,
      0.4217,
      0.384,
      0.2878,
      0.3316,
      0.1599,
      0.1423,
      0.3856,
      0.3551,
      0.3454,
      0.339,
      0.4301,
      0.5136,
      0.6205,
      0.3826,
      0.3898,
      0.4625,
      0.2644,
      0.3203,
      0.3116,
      0.4012,
      0.5156,
      0.3555,
      0.4293,
      0.2693,
      0.2984,
      0.4145,
      0.3866,
      0.1883,
      0.4115,
      0.498,
      0.5179,
      0.3108,
      0.1898,
      0.1399,
      0.1409,
      0.2,
      0.2368,
      0.4452,
      0.3108,
      0.5104,
      0.3276,
      0.42,
      0.583,
      0.3942,
      0.447,
      0.4462,
      0.6867,
      0.3973,
      0.3355,
      0.3687,
      0.3517,
      0.2935,
      0.3419,
      0.4635,
      0.4857,
      0.4284,
      0.419,
      0.3801,
      0.4075,
      0.3301,
      0.4675,
      0.4752,
      0.2799,
      0.3496,
      0.5815,
      0.3939,
      0.4894,
      0.463,
      0.5458,
      0.4739,
      0.6063,
      0.3908,
      0.4444,
      0.4635,
      0.337,
      0.4108,
      0.3155,
      0.3175,
      0.2463,
      0.1473,
      0.4094,
      0.3903,
      0.2909,
      0.1813,
      0.1897,
      0.4582,
      0.2319,
      0.2902,
      0.207,
      0.1652,
      0.5266,
      0.4436,
      0.2908,
      0.5388,
      0.3116,
      0.319,
      0.2281,
      0.2729,
      0.2761,
      0.2548,
      0.1942,
      0.2863,
      0.2144,
      0.2467,
      0.5243,
      0.4762,
      0.4195,
      0.3333,
      0.4932,
      0.4058,
      0.3912,
      0.2896,
      0.3197,
      0.4923,
      0.5626,
      0.316,
      0.4258,
      0.3465,
      0.3601,
      0.4002,
      0.3576,
      0.4022,
      0.4804,
      0.2794,
      0.4905,
      0.3983,
      0.311,
      0.2908,
      0.2531,
      0.2067,
      0.2716,
      0.2535,
      0.2532,
      0.358,
      0.3209,
      0.4657,
      0.5999,
      0.5974,
      0.5446,
      0.3963,
      0.5813,
      0.4053,
      0.2907,
      0.4824,
      0.3925,
      0.449,
      0.326,
      0.4392,
      0.3889,
      0.3819,
      0.6257,
      0.5402,
      0.6944,
      0.5737,
      0.4894,
      0.3463,
      0.375,
      0.485,
      0.4971,
      0.3826,
      0.3874,
      0.3869,
      0.5838,
      0.578,
      0.5199,
      0.5008,
      0.3935,
      0.3197,
      0.4979,
      0.5013,
      0.409,
      0.4889,
      0.3594,
      0.299,
      0.2102,
      0.1929,
      0.4416,
      0.386,
      0.5032,
      0.2609,
      0.2923,
      0.4233,
      0.457,
      0.4971,
      0.5118,
      0.3003,
      0.3552,
      0.3025,
      0.4468,
      0.5711,
      0.4887,
      0.3607,
      0.2945,
      0.1852,
      0.206,
      0.3483,
      0.7958,
      0.3488,
      0.2999,
      0.5382,
      0.2902,
      0.5056,
      0.4515,
      0.5352,
      0.328,
      0.503,
      0.3415,
      0.4624,
      0.6139,
      0.3561,
      0.4018,
      0.4948,
      0.3865,
      0.5612,
      0.4695,
      0.5295,
      0.4561,
      0.4238,
      0.6163,
      0.4263,
      0.4573,
      0.3146,
      0.4477,
      0.4937,
      0.4125,
      0.4565,
      0.3984,
      0.5944,
      0.4462,
      0.4121,
      0.4775,
      0.3999,
      0.4213,
      0.3924,
      0.4638,
      0.481,
      0.482,
      0.4622,
      0.4458,
      0.5503,
      0.4933,
      0.5553,
      0.7114,
      0.4804,
      0.5033,
      0.4504,
      0.5258,
      0.3862,
      0.5879,
      0.4326,
      0.3647,
      0.4309,
      0.526,
      0.5355,
      0.3815,
      0.4756,
      0.4266,
      0.3519,
      0.4154,
      0.3553,
      0.3407,
      0.4019,
      0.2949,
      0.3841,
      0.4473,
      0.2183,
      0.2636,
      0.2177,
      0.0107,
      0.0256,
      0.0774,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3729,
      0.3899,
      0.5124,
      0.2201,
      0.1139,
      0.286,
      0.1504,
      0.234,
      0.0648,
      0.1505,
      0.3891,
      0.1366,
      0.4229,
      0.3513,
      0.6368,
      0.1166,
      0.1674,
      0.081,
      0.174,
      0.1477,
      0.2312,
      0.093,
      0,
      0.4425,
      0.4717,
      0.2569,
      0.2992,
      0.1829,
      0.2067,
      0.3604,
      0.4156,
      0.3622,
      0.3605,
      0.4884,
      0.4926,
      0.4444,
      0.3016,
      0.5733,
      0.6001,
      0.3474,
      0.4239,
      0.3081,
      0.4662,
      0.5126,
      0.2857,
      0.4254,
      0.2535,
      0.3142,
      0.7243,
      0.4146,
      0.1602,
      0.4212,
      0.6172,
      0.632,
      0.2874,
      0.2252,
      0.1627,
      0.0983,
      0.2354,
      0.2694,
      0.5267,
      0.2245,
      0.5635,
      0.3272,
      0.5353,
      0.5267,
      0.4856,
      0.4736,
      0.6073,
      0.6204,
      0.4079,
      0.3581,
      0.3705,
      0.3712,
      0.323,
      0.5301,
      0.5487,
      0.5404,
      0.5395,
      0.5482,
      0.4375,
      0.4027,
      0.3638,
      0.4708,
      0.5494,
      0.4246,
      0.4894,
      0.5255,
      0.4287,
      0.43,
      0.479,
      0.5996,
      0.5445,
      0.5745,
      0.5948,
      0.425,
      0.4512,
      0.3579,
      0.7341,
      0.5074,
      0.2228,
      0.694,
      0.1786,
      0.3391,
      0.3078,
      0.2367,
      0.1563,
      0.1468,
      0.5506,
      0.3419,
      0.3115,
      0.203,
      0.1548,
      0.4982,
      0.5574,
      0.4059,
      0.4883,
      0.3266,
      0.4507,
      0.2274,
      0.3647,
      0.2582,
      0.3121,
      0.2177,
      0.2297,
      0.2762,
      0.308,
      0.5552,
      0.4484,
      0.6755,
      0.5064,
      0.5165,
      0.4226,
      0.4685,
      0.3608,
      0.3725,
      0.5577,
      0.5578,
      0.3318,
      0.3925,
      0.3891,
      0.7053,
      0.4328,
      0.3051,
      0.5377,
      0.5307,
      0.3762,
      0.5741,
      0.4339,
      0.4394,
      0.3798,
      0.3567,
      0.3391,
      0.3393,
      0.3299,
      0.2895,
      0.4116,
      0.424,
      0.4042,
      0.5385,
      0.6045,
      0.4484,
      0.6259,
      0.5444,
      0.4297,
      0.4197,
      0.4979,
      0.4827,
      0.3962,
      0.3645,
      0.4909,
      0.3302,
      0.3722,
      0.628,
      0.5977,
      0.7213,
      0.5184,
      0.4954,
      0.2527,
      0.4811,
      0.5371,
      0.5794,
      0.4282,
      0.4205,
      0.422,
      0.4957,
      0.5339,
      0.5345,
      0.4893,
      0.5093,
      0.5201,
      0.5843,
      0.4818,
      0.3155,
      0.4762,
      0.3821,
      0.3545,
      0.488,
      0.3801,
      0.5634,
      0.5122,
      0.4753,
      0.4911,
      0.3282,
      0.5116,
      0.4877,
      0.4724,
      0.5315,
      0.4255,
      0.3821,
      0.458,
      0.5166,
      0.5349,
      0.4992,
      0.3726,
      0.2547,
      0.2798,
      0.1748,
      0.3576,
      0.7554,
      0.2819,
      0.4047,
      0.617,
      0.4527,
      0.4787,
      0.4392,
      0.4252,
      0.3297,
      0.6747,
      0.3214,
      0.3735,
      0.6273,
      0.3635,
      0.4791,
      0.6374,
      0.3971,
      0.5561,
      0.6447,
      0.4809,
      0.5941,
      0.3578,
      0.5652,
      0.5048,
      0.4765,
      0.5729,
      0.5171,
      0.5358,
      0.4055,
      0.626,
      0.3428,
      0.5919,
      0.4771,
      0.4285,
      0.491,
      0.4188,
      0.4602,
      0.494,
      0.4761,
      0.5518,
      0.4538,
      0.6533,
      0.5985,
      0.6331,
      0.5619,
      0.6231,
      0.6663,
      0.5513,
      0.6342,
      0.5767,
      0.6009,
      0.453,
      0.5539,
      0.4618,
      0.4401,
      0.5379,
      0.6508,
      0.5754,
      0.5109,
      0.5742,
      0.6398,
      0.398,
      0.4588,
      0.3926,
      0.4216,
      0.5586,
      0.3448,
      0.4294,
      0.4691,
      0.3126,
      0.3981,
      0.4828,
      0.1193,
      0.0771,
      0.0416,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3798,
      0.2009,
      0.3697,
      0.2158,
      0.1948,
      0.2759,
      0.0258,
      0.2585,
      0.131,
      0.0997,
      0.4099,
      0.2181,
      0.4396,
      0.3984,
      0.5342,
      0.3107,
      0.1842,
      0.1613,
      0.1435,
      0.0548,
      0.2033,
      0.244,
      0,
      0.4539,
      0.5816,
      0.2694,
      0.3149,
      0.2976,
      0.2134,
      0.4059,
      0.268,
      0.3131,
      0.3394,
      0.5113,
      0.5138,
      0.4277,
      0.5121,
      0.5163,
      0.362,
      0.3427,
      0.4951,
      0.3093,
      0.482,
      0.5253,
      0.3722,
      0.4349,
      0.2008,
      0.3246,
      0.5913,
      0.6483,
      0.2454,
      0.4188,
      0.3509,
      0.3584,
      0.3151,
      0.1895,
      0.1626,
      0.0561,
      0.2402,
      0.2874,
      0.4806,
      0.2869,
      0.6448,
      0.4086,
      0.5637,
      0.5088,
      0.3895,
      0.485,
      0.6059,
      0.511,
      0.4313,
      0.314,
      0.3678,
      0.3744,
      0.516,
      0.4507,
      0.43,
      0.517,
      0.5144,
      0.422,
      0.415,
      0.6926,
      0.4089,
      0.4909,
      0.453,
      0.3447,
      0.4945,
      0.3475,
      0.4481,
      0.5324,
      0.4343,
      0.618,
      0.4081,
      0.3852,
      0.486,
      0.3611,
      0.4395,
      0.4251,
      0.5271,
      0.5554,
      0.2148,
      0.5472,
      0.2219,
      0.2927,
      0.3403,
      0.1539,
      0.1506,
      0.1003,
      0.2031,
      0.2878,
      0.4134,
      0.196,
      0.1651,
      0.5247,
      0.5442,
      0.3705,
      0.4831,
      0.3259,
      0.4633,
      0.2611,
      0.3757,
      0.2541,
      0.2825,
      0.2434,
      0.3141,
      0.4296,
      0.3745,
      0.5689,
      0.4601,
      0.5846,
      0.4027,
      0.5265,
      0.4085,
      0.5383,
      0.3872,
      0.3314,
      0.5535,
      0.4606,
      0.3353,
      0.4708,
      0.4186,
      0.7216,
      0.4524,
      0.4158,
      0.6129,
      0.4812,
      0.2892,
      0.5531,
      0.3714,
      0.4598,
      0.3432,
      0.4163,
      0.4037,
      0.4335,
      0.4866,
      0.3888,
      0.3893,
      0.3728,
      0.449,
      0.5011,
      0.5423,
      0.4689,
      0.4979,
      0.3922,
      0.5735,
      0.4043,
      0.5029,
      0.5655,
      0.3928,
      0.4002,
      0.5496,
      0.2847,
      0.3792,
      0.6151,
      0.6126,
      0.4213,
      0.5108,
      0.5039,
      0.3395,
      0.4891,
      0.5594,
      0.4893,
      0.3732,
      0.4287,
      0.4555,
      0.525,
      0.5238,
      0.5798,
      0.4772,
      0.6187,
      0.5308,
      0.5549,
      0.5169,
      0.4441,
      0.3488,
      0.4148,
      0.4322,
      0.5378,
      0.4247,
      0.4888,
      0.3982,
      0.5546,
      0.4146,
      0.4843,
      0.6561,
      0.4738,
      0.4728,
      0.4502,
      0.3731,
      0.4127,
      0.4272,
      0.522,
      0.5564,
      0.4788,
      0.5471,
      0.2102,
      0.361,
      0.2525,
      0.2599,
      0.5049,
      0.3033,
      0.3595,
      0.421,
      0.5372,
      0.5175,
      0.4727,
      0.4376,
      0.3155,
      0.6598,
      0.4449,
      0.4176,
      0.3903,
      0.4245,
      0.5239,
      0.5337,
      0.5473,
      0.5451,
      0.672,
      0.4887,
      0.5455,
      0.4325,
      0.4597,
      0.6923,
      0.4902,
      0.6265,
      0.5904,
      0.4553,
      0.4152,
      0.6349,
      0.405,
      0.4985,
      0.4946,
      0.5143,
      0.5495,
      0.4996,
      0.4299,
      0.6154,
      0.3606,
      0.4907,
      0.4733,
      0.6291,
      0.5938,
      0.5332,
      0.4531,
      0.5069,
      0.5158,
      0.6512,
      0.7102,
      0.675,
      0.6583,
      0.476,
      0.4413,
      0.5269,
      0.429,
      0.4296,
      0.6541,
      0.6408,
      0.6521,
      0.5491,
      0.56,
      0.4097,
      0.4107,
      0.4318,
      0.4232,
      0.3912,
      0.3149,
      0.4322,
      0.4278,
      0.2918,
      0.4584,
      0.2734,
      0.17,
      0.0876,
      0.0853,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3189,
      0.1855,
      0.2315,
      0.3849,
      0.1606,
      0.2514,
      0.0418,
      0.0363,
      0.2423,
      0.0606,
      0.4089,
      0.227,
      0.1798,
      0.499,
      0.4577,
      0.1646,
      0.1002,
      0.1198,
      0,
      0.0696,
      0.0467,
      0.3442,
      0,
      0.4449,
      0.7124,
      0.246,
      0.3132,
      0.2192,
      0.2884,
      0.3245,
      0.3402,
      0.3154,
      0.3521,
      0.5043,
      0.5029,
      0.4382,
      0.4308,
      0.4163,
      0.2957,
      0.2805,
      0.2653,
      0.3285,
      0.465,
      0.4735,
      0.3997,
      0.3337,
      0.2459,
      0.3455,
      0.3576,
      0.5929,
      0.2284,
      0.4291,
      0.3685,
      0.3393,
      0.3081,
      0.3197,
      0.1884,
      0.1289,
      0.2812,
      0.3668,
      0.4891,
      0.3729,
      0.4774,
      0.5189,
      0.5663,
      0.5401,
      0.5453,
      0.4714,
      0.4295,
      0.4196,
      0.4613,
      0.3837,
      0.4348,
      0.309,
      0.3745,
      0.4332,
      0.3225,
      0.484,
      0.5099,
      0.319,
      0.3477,
      0.3884,
      0.3255,
      0.4972,
      0.3327,
      0.2992,
      0.3404,
      0.2959,
      0.4528,
      0.4769,
      0.4297,
      0.6547,
      0.4482,
      0.4116,
      0.4408,
      0.3869,
      0.4235,
      0.4226,
      0.4106,
      0.4244,
      0.2307,
      0.3091,
      0.2106,
      0.3395,
      0.388,
      0.2215,
      0.1392,
      0.1044,
      0.1844,
      0.328,
      0.2445,
      0.25,
      0.2002,
      0.5333,
      0.3922,
      0.3184,
      0.5297,
      0.3305,
      0.4285,
      0.2548,
      0.3508,
      0.2995,
      0.2858,
      0.1957,
      0.2412,
      0.474,
      0.3244,
      0.5987,
      0.521,
      0.4534,
      0.4197,
      0.5383,
      0.2283,
      0.4057,
      0.3641,
      0.3211,
      0.5459,
      0.5537,
      0.3179,
      0.4557,
      0.3586,
      0.4483,
      0.4675,
      0.3828,
      0.477,
      0.5239,
      0.3229,
      0.3567,
      0.4238,
      0.4311,
      0.4233,
      0.4257,
      0.3376,
      0.4296,
      0.288,
      0.3965,
      0.3091,
      0.3505,
      0.4839,
      0.5553,
      0.5161,
      0.4194,
      0.4601,
      0.35,
      0.6339,
      0.327,
      0.5121,
      0.4585,
      0.476,
      0.5336,
      0.6008,
      0.3414,
      0.3559,
      0.6021,
      0.5335,
      0.4634,
      0.4046,
      0.4059,
      0.3728,
      0.6011,
      0.5552,
      0.4874,
      0.4102,
      0.4347,
      0.4362,
      0.5135,
      0.5803,
      0.5097,
      0.5586,
      0.6427,
      0.6011,
      0.5168,
      0.5671,
      0.5251,
      0.3868,
      0.4833,
      0.3306,
      0.4115,
      0.2904,
      0.4733,
      0.4507,
      0.4,
      0.5052,
      0.4196,
      0.6581,
      0.4089,
      0.502,
      0.5284,
      0.3116,
      0.5076,
      0.2892,
      0.5388,
      0.5931,
      0.3975,
      0.599,
      0.1998,
      0.1706,
      0.226,
      0.4208,
      0.4663,
      0.3547,
      0.3009,
      0.3489,
      0.2487,
      0.528,
      0.4998,
      0.4915,
      0.3889,
      0.4897,
      0.429,
      0.4933,
      0.405,
      0.402,
      0.6495,
      0.4395,
      0.4821,
      0.5246,
      0.5462,
      0.549,
      0.5705,
      0.5708,
      0.4799,
      0.5268,
      0.5032,
      0.449,
      0.7267,
      0.5378,
      0.3779,
      0.4714,
      0.4166,
      0.5132,
      0.4653,
      0.509,
      0.4509,
      0.5022,
      0.4754,
      0.6186,
      0.4057,
      0.4603,
      0.4683,
      0.5415,
      0.5308,
      0.5714,
      0.4814,
      0.5154,
      0.4985,
      0.6668,
      0.6106,
      0.5624,
      0.4759,
      0.5303,
      0.4561,
      0.5707,
      0.4086,
      0.4715,
      0.4524,
      0.578,
      0.492,
      0.4085,
      0.5082,
      0.4814,
      0.4407,
      0.4099,
      0.3746,
      0.3732,
      0.3676,
      0.2609,
      0.43,
      0.3312,
      0.3182,
      0.2464,
      0.0542,
      0,
      0.0807,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3008,
      0.1039,
      0.2003,
      0.4931,
      0.148,
      0.2701,
      0.0436,
      0.2036,
      0.2225,
      0.1076,
      0.3818,
      0.2069,
      0.1349,
      0.4193,
      0.4047,
      0.1544,
      0.1859,
      0.0634,
      0.0262,
      0.055,
      0.0698,
      0.2058,
      0,
      0.4154,
      0.3115,
      0.2668,
      0.2966,
      0.2128,
      0.1885,
      0.3373,
      0.3931,
      0.347,
      0.3426,
      0.4875,
      0.5414,
      0.441,
      0.4071,
      0.4172,
      0.2534,
      0.1793,
      0.1671,
      0.3682,
      0.4912,
      0.5222,
      0.5872,
      0.4568,
      0.2247,
      0.3323,
      0.3522,
      0.3753,
      0.1817,
      0.4408,
      0.3773,
      0.3875,
      0.3326,
      0.2831,
      0.1336,
      0.1502,
      0.2494,
      0.3151,
      0.4875,
      0.3654,
      0.3563,
      0.4552,
      0.5515,
      0.5979,
      0.4262,
      0.4821,
      0.4627,
      0.415,
      0.4319,
      0.3587,
      0.454,
      0.4016,
      0.3043,
      0.3035,
      0.3385,
      0.4959,
      0.3956,
      0.3496,
      0.3833,
      0.3897,
      0.3436,
      0.451,
      0.4333,
      0.3003,
      0.2831,
      0.3505,
      0.4374,
      0.4249,
      0.3807,
      0.666,
      0.3954,
      0.5115,
      0.4746,
      0.3988,
      0.3937,
      0.4165,
      0.48,
      0.4358,
      0.2662,
      0.3137,
      0.253,
      0.3258,
      0.633,
      0.2328,
      0.1145,
      0.1567,
      0.1684,
      0.321,
      0.3637,
      0.2169,
      0.1144,
      0.5685,
      0.5897,
      0.3073,
      0.4884,
      0.3825,
      0.4103,
      0.3259,
      0.2679,
      0.401,
      0.3676,
      0.1752,
      0.2069,
      0.4616,
      0.3817,
      0.5133,
      0.6222,
      0.4343,
      0.3442,
      0.4707,
      0.2964,
      0.3464,
      0.3535,
      0.3256,
      0.5065,
      0.5218,
      0.3251,
      0.4615,
      0.3871,
      0.3549,
      0.6001,
      0.3775,
      0.37,
      0.4556,
      0.3392,
      0.2757,
      0.3875,
      0.3701,
      0.3079,
      0.3702,
      0.3236,
      0.3184,
      0.2909,
      0.2314,
      0.3234,
      0.3484,
      0.4361,
      0.5654,
      0.554,
      0.4755,
      0.5151,
      0.4125,
      0.5638,
      0.3597,
      0.5087,
      0.3733,
      0.5978,
      0.4804,
      0.5431,
      0.302,
      0.3519,
      0.6139,
      0.5652,
      0.4101,
      0.4842,
      0.4401,
      0.4476,
      0.4125,
      0.5242,
      0.5111,
      0.4045,
      0.3959,
      0.5265,
      0.4811,
      0.524,
      0.5042,
      0.499,
      0.4736,
      0.5519,
      0.4552,
      0.5,
      0.5579,
      0.3844,
      0.4228,
      0.3628,
      0.3998,
      0.411,
      0.4556,
      0.3152,
      0.5043,
      0.4468,
      0.4028,
      0.4854,
      0.4804,
      0.5088,
      0.4727,
      0.2567,
      0.5968,
      0.2597,
      0.516,
      0.4535,
      0.3734,
      0.6377,
      0.1998,
      0.1501,
      0.1785,
      0.5158,
      0.4195,
      0.2678,
      0.3235,
      0.2995,
      0.1609,
      0.4235,
      0.5474,
      0.478,
      0.3921,
      0.3473,
      0.3403,
      0.5364,
      0.3339,
      0.3763,
      0.6173,
      0.3822,
      0.4729,
      0.4501,
      0.5427,
      0.5498,
      0.5676,
      0.5223,
      0.5193,
      0.3598,
      0.528,
      0.3889,
      0.5623,
      0.603,
      0.4195,
      0.4534,
      0.4694,
      0.5091,
      0.4267,
      0.4172,
      0.4226,
      0.4445,
      0.4943,
      0.4808,
      0.465,
      0.4658,
      0.5389,
      0.5163,
      0.4997,
      0.5624,
      0.5004,
      0.4247,
      0.4429,
      0.5216,
      0.628,
      0.4832,
      0.5562,
      0.5117,
      0.5251,
      0.4388,
      0.3551,
      0.4518,
      0.4643,
      0.5349,
      0.4242,
      0.3785,
      0.4681,
      0.3873,
      0.5342,
      0.3715,
      0.3616,
      0.4117,
      0.3038,
      0.2788,
      0.3082,
      0.2236,
      0.3103,
      0.2359,
      0.1189,
      0.0634,
      0.0713,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2095,
      0.1783,
      0.2261,
      0.2531,
      0.1679,
      0.2305,
      0.1429,
      0.1764,
      0.0943,
      0.0926,
      0.3514,
      0.1406,
      0.2054,
      0.3116,
      0.2996,
      0.138,
      0.2759,
      0.0971,
      0,
      0.1213,
      0.0097,
      0.1428,
      0,
      0.369,
      0.3483,
      0.2412,
      0.3061,
      0.1572,
      0.1764,
      0.3844,
      0.4721,
      0.3796,
      0.3469,
      0.4149,
      0.4815,
      0.4961,
      0.476,
      0.4452,
      0.3631,
      0.1949,
      0.2869,
      0.288,
      0.483,
      0.5537,
      0.3751,
      0.3971,
      0.2308,
      0.3536,
      0.3473,
      0.3528,
      0.267,
      0.4607,
      0.3814,
      0.4077,
      0.3306,
      0.3048,
      0.1904,
      0.1357,
      0.2041,
      0.3547,
      0.5508,
      0.3206,
      0.2842,
      0.3281,
      0.524,
      0.5533,
      0.361,
      0.484,
      0.4472,
      0.3663,
      0.45,
      0.4403,
      0.2894,
      0.3766,
      0.2884,
      0.3032,
      0.4057,
      0.5095,
      0.4002,
      0.3888,
      0.3948,
      0.3604,
      0.4514,
      0.3767,
      0.3814,
      0.2763,
      0.3918,
      0.4447,
      0.4583,
      0.4994,
      0.3814,
      0.5731,
      0.4236,
      0.4967,
      0.3767,
      0.383,
      0.4715,
      0.3796,
      0.4799,
      0.3671,
      0.2045,
      0.1934,
      0.4237,
      0.3206,
      0.6261,
      0.2047,
      0.158,
      0.0906,
      0.131,
      0.3475,
      0.3113,
      0.5176,
      0.135,
      0.5783,
      0.558,
      0.3292,
      0.4891,
      0.2783,
      0.3175,
      0.2605,
      0.3913,
      0.2565,
      0.5643,
      0.2062,
      0.311,
      0.3106,
      0.3783,
      0.5525,
      0.6297,
      0.3992,
      0.4755,
      0.4312,
      0.4015,
      0.3891,
      0.3436,
      0.3154,
      0.4686,
      0.5647,
      0.3563,
      0.4103,
      0.3118,
      0.3078,
      0.6057,
      0.3426,
      0.4427,
      0.4883,
      0.3133,
      0.2713,
      0.4474,
      0.3422,
      0.3094,
      0.4311,
      0.3562,
      0.2765,
      0.2384,
      0.3124,
      0.3522,
      0.3823,
      0.4305,
      0.5403,
      0.5774,
      0.584,
      0.4433,
      0.4556,
      0.413,
      0.448,
      0.4613,
      0.3404,
      0.6912,
      0.4656,
      0.4114,
      0.3348,
      0.3296,
      0.6458,
      0.5138,
      0.4426,
      0.5632,
      0.3348,
      0.3794,
      0.3098,
      0.5079,
      0.4844,
      0.3891,
      0.4051,
      0.4184,
      0.4895,
      0.6117,
      0.4847,
      0.5085,
      0.3597,
      0.429,
      0.5091,
      0.4516,
      0.5812,
      0.4623,
      0.3629,
      0.3957,
      0.3355,
      0.6533,
      0.4041,
      0.3915,
      0.4767,
      0.4385,
      0.4225,
      0.4027,
      0.507,
      0.5632,
      0.4503,
      0.4449,
      0.3779,
      0.3707,
      0.4895,
      0.5597,
      0.4301,
      0.6777,
      0.4322,
      0.1219,
      0.2405,
      0.5051,
      0.3874,
      0.3097,
      0.271,
      0.2787,
      0.2909,
      0.4836,
      0.541,
      0.4899,
      0.3089,
      0.285,
      0.2287,
      0.5921,
      0.4849,
      0.3828,
      0.4672,
      0.4246,
      0.389,
      0.5372,
      0.5284,
      0.5797,
      0.5535,
      0.5074,
      0.4828,
      0.3406,
      0.5784,
      0.4067,
      0.356,
      0.5951,
      0.3677,
      0.4127,
      0.5484,
      0.6089,
      0.4517,
      0.4008,
      0.4298,
      0.4252,
      0.4711,
      0.4947,
      0.4918,
      0.5223,
      0.4666,
      0.4338,
      0.4827,
      0.6267,
      0.443,
      0.5047,
      0.5708,
      0.4574,
      0.5212,
      0.5943,
      0.5644,
      0.5711,
      0.4874,
      0.4335,
      0.4356,
      0.4192,
      0.4702,
      0.5902,
      0.4395,
      0.4283,
      0.5006,
      0.4422,
      0.4707,
      0.3522,
      0.4206,
      0.2973,
      0.3477,
      0.3137,
      0.3978,
      0.234,
      0.2254,
      0.2445,
      0.1651,
      0.2252,
      0.1066,
      0.0567,
      0,
      0,
      0,
      0,
      0,
      0.2434,
      0.2674,
      0.2285,
      0.3082,
      0.2224,
      0.2722,
      0.1964,
      0.1177,
      0.1057,
      0.2418,
      0.3207,
      0.0814,
      0.2267,
      0.2558,
      0.3885,
      0.0778,
      0.4356,
      0.1478,
      0.0408,
      0.161,
      0.0971,
      0.158,
      0,
      0.3665,
      0.4323,
      0.17,
      0.3345,
      0.2512,
      0.1133,
      0.3852,
      0.3484,
      0.3417,
      0.3171,
      0.3708,
      0.5266,
      0.3947,
      0.5274,
      0.4383,
      0.3791,
      0.1712,
      0.2781,
      0.1167,
      0.4369,
      0.5045,
      0.2544,
      0.3456,
      0.2697,
      0.3061,
      0.3324,
      0.2651,
      0.2045,
      0.4609,
      0.4063,
      0.44,
      0.3912,
      0.3385,
      0.2083,
      0.1412,
      0.2327,
      0.3141,
      0.5808,
      0.3714,
      0.3073,
      0.3707,
      0.5348,
      0.5016,
      0.3286,
      0.5066,
      0.317,
      0.5012,
      0.4307,
      0.3627,
      0.3048,
      0.3068,
      0.254,
      0.4171,
      0.4074,
      0.5022,
      0.3885,
      0.5242,
      0.4379,
      0.4733,
      0.2768,
      0.4061,
      0.4005,
      0.3202,
      0.4331,
      0.5257,
      0.3991,
      0.477,
      0.3619,
      0.5274,
      0.4508,
      0.4588,
      0.3656,
      0.3533,
      0.3736,
      0.464,
      0.4918,
      0.3344,
      0.2055,
      0.2745,
      0.2193,
      0.5728,
      0.3218,
      0.1912,
      0.1855,
      0.1667,
      0.1454,
      0.2908,
      0.1902,
      0.6508,
      0.129,
      0.5736,
      0.551,
      0.3971,
      0.4887,
      0.2871,
      0.3646,
      0.2399,
      0.3213,
      0.2808,
      0.456,
      0.1596,
      0.2788,
      0.3294,
      0.5513,
      0.6403,
      0.4725,
      0.3985,
      0.5262,
      0.5791,
      0.3134,
      0.3358,
      0.3065,
      0.2565,
      0.4607,
      0.5868,
      0.2847,
      0.4453,
      0.3192,
      0.3312,
      0.518,
      0.4164,
      0.3577,
      0.4814,
      0.2651,
      0.3633,
      0.3687,
      0.3463,
      0.2481,
      0.4493,
      0.2632,
      0.2775,
      0.2113,
      0.2882,
      0.2808,
      0.3571,
      0.4848,
      0.5014,
      0.5732,
      0.5468,
      0.449,
      0.5706,
      0.4106,
      0.3764,
      0.4205,
      0.2473,
      0.634,
      0.3944,
      0.2847,
      0.3214,
      0.3718,
      0.5099,
      0.5365,
      0.3256,
      0.5131,
      0.3977,
      0.4214,
      0.2101,
      0.4956,
      0.4743,
      0.4193,
      0.3652,
      0.312,
      0.501,
      0.5649,
      0.4663,
      0.4336,
      0.314,
      0.431,
      0.483,
      0.4813,
      0.3348,
      0.2971,
      0.4337,
      0.3324,
      0.3014,
      0.4629,
      0.4281,
      0.4286,
      0.4864,
      0.3329,
      0.3814,
      0.4311,
      0.4816,
      0.5383,
      0.5808,
      0.4559,
      0.327,
      0.3311,
      0.4963,
      0.5663,
      0.4288,
      0.5599,
      0.2758,
      0.1941,
      0.2872,
      0.4235,
      0.479,
      0.2653,
      0.2585,
      0.304,
      0.1972,
      0.4594,
      0.5543,
      0.5282,
      0.299,
      0.3158,
      0.2807,
      0.5639,
      0.5648,
      0.2894,
      0.2804,
      0.2803,
      0.3987,
      0.6037,
      0.516,
      0.5344,
      0.5605,
      0.5339,
      0.5783,
      0.2807,
      0.5699,
      0.3385,
      0.3662,
      0.4439,
      0.3912,
      0.343,
      0.4822,
      0.615,
      0.4405,
      0.4146,
      0.4709,
      0.4409,
      0.448,
      0.4006,
      0.4769,
      0.4324,
      0.4408,
      0.399,
      0.4657,
      0.5381,
      0.3823,
      0.3736,
      0.4688,
      0.4955,
      0.483,
      0.6072,
      0.5534,
      0.4423,
      0.4821,
      0.3986,
      0.4124,
      0.461,
      0.4424,
      0.5351,
      0.4512,
      0.323,
      0.4559,
      0.414,
      0.4817,
      0.3613,
      0.4029,
      0.337,
      0.3276,
      0.2933,
      0.3892,
      0.279,
      0.2006,
      0.1807,
      0.1924,
      0.0821,
      0.1366,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2858,
      0.3488,
      0.308,
      0.2744,
      0.1797,
      0.2164,
      0.1059,
      0.3198,
      0.1387,
      0.1952,
      0.3221,
      0.0692,
      0.2619,
      0.311,
      0.3472,
      0.1555,
      0.2583,
      0.1745,
      0.1678,
      0.2144,
      0.0573,
      0.125,
      0,
      0.3645,
      0.4586,
      0.1773,
      0.3713,
      0.2157,
      0.1671,
      0.3404,
      0.4234,
      0.3156,
      0.3048,
      0.2503,
      0.5794,
      0.5934,
      0.338,
      0.323,
      0.3634,
      0.1616,
      0.2571,
      0.1712,
      0.402,
      0.5625,
      0.2766,
      0.3936,
      0.2611,
      0.354,
      0.3264,
      0.2728,
      0.3393,
      0.4477,
      0.389,
      0.3488,
      0.3869,
      0.3361,
      0.2683,
      0.1488,
      0.2131,
      0.2958,
      0.5791,
      0.3626,
      0.511,
      0.3878,
      0.5327,
      0.6133,
      0.3796,
      0.4847,
      0.4671,
      0.6194,
      0.2939,
      0.4868,
      0.4465,
      0.2762,
      0.2806,
      0.4523,
      0.4975,
      0.5168,
      0.4279,
      0.5359,
      0.4724,
      0.3991,
      0.2711,
      0.4209,
      0.5093,
      0.3743,
      0.5293,
      0.5957,
      0.3787,
      0.4583,
      0.436,
      0.5389,
      0.5216,
      0.4404,
      0.4005,
      0.4061,
      0.4032,
      0.4305,
      0.4155,
      0.3964,
      0.2199,
      0.2781,
      0.2336,
      0.4348,
      0.342,
      0.2181,
      0.1306,
      0.2187,
      0.2276,
      0.2304,
      0.2725,
      0.3011,
      0.1428,
      0.5659,
      0.5783,
      0.2959,
      0.5098,
      0.3373,
      0.3495,
      0.2892,
      0.3188,
      0.3146,
      0.3541,
      0.2723,
      0.3426,
      0.3666,
      0.6977,
      0.5816,
      0.449,
      0.3714,
      0.3019,
      0.5965,
      0.3636,
      0.3158,
      0.327,
      0.2557,
      0.5906,
      0.5944,
      0.2852,
      0.5061,
      0.3873,
      0.3678,
      0.4302,
      0.4866,
      0.3286,
      0.4579,
      0.3482,
      0.3378,
      0.4177,
      0.3514,
      0.3087,
      0.3834,
      0.3752,
      0.4526,
      0.284,
      0.3081,
      0.4282,
      0.2872,
      0.4269,
      0.5108,
      0.5115,
      0.5563,
      0.4029,
      0.6205,
      0.3845,
      0.2763,
      0.4279,
      0.3009,
      0.3444,
      0.3771,
      0.3654,
      0.3622,
      0.38,
      0.5805,
      0.5859,
      0.3995,
      0.5141,
      0.3329,
      0.3825,
      0.278,
      0.4775,
      0.4284,
      0.3815,
      0.4579,
      0.4071,
      0.6248,
      0.5291,
      0.4828,
      0.4512,
      0.3828,
      0.4776,
      0.4228,
      0.4597,
      0.314,
      0.4877,
      0.4228,
      0.3333,
      0.3414,
      0.3396,
      0.4144,
      0.4115,
      0.4235,
      0.3566,
      0.4657,
      0.4479,
      0.4794,
      0.5028,
      0.5634,
      0.3021,
      0.3972,
      0.5008,
      0.4456,
      0.5581,
      0.351,
      0.3614,
      0.2981,
      0.2295,
      0.2453,
      0.3899,
      0.5116,
      0.4533,
      0.4242,
      0.4522,
      0.3284,
      0.41,
      0.4297,
      0.614,
      0.363,
      0.4392,
      0.3624,
      0.4117,
      0.5955,
      0.3395,
      0.4113,
      0.3255,
      0.4043,
      0.5746,
      0.562,
      0.5523,
      0.5694,
      0.5762,
      0.5519,
      0.2868,
      0.5712,
      0.4158,
      0.3639,
      0.3739,
      0.364,
      0.4296,
      0.4056,
      0.4987,
      0.4535,
      0.4372,
      0.5482,
      0.4349,
      0.4268,
      0.4764,
      0.3779,
      0.426,
      0.4831,
      0.4097,
      0.456,
      0.5481,
      0.3957,
      0.4496,
      0.4396,
      0.4692,
      0.5204,
      0.5704,
      0.5286,
      0.4777,
      0.4214,
      0.4095,
      0.3966,
      0.4466,
      0.4871,
      0.3922,
      0.4965,
      0.3634,
      0.4183,
      0.3753,
      0.4507,
      0.4098,
      0.3908,
      0.3361,
      0.3952,
      0.2662,
      0.3569,
      0.1942,
      0.3139,
      0.1758,
      0.0811,
      0.006,
      0.0626,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2888,
      0.4594,
      0.4343,
      0.2317,
      0.1828,
      0.2261,
      0.0629,
      0.321,
      0.1234,
      0.1383,
      0.3052,
      0.0852,
      0.4975,
      0.2711,
      0.5793,
      0.2608,
      0.1117,
      0.2381,
      0.2066,
      0.1957,
      0.0252,
      0.3599,
      0,
      0.3615,
      0.5066,
      0.2485,
      0.4655,
      0.2729,
      0.2474,
      0.3629,
      0.3271,
      0.3172,
      0.1805,
      0.3971,
      0.5214,
      0.4954,
      0.362,
      0.4165,
      0.3575,
      0.1412,
      0.3367,
      0.3048,
      0.4641,
      0.4835,
      0.3744,
      0.4219,
      0.2843,
      0.3204,
      0.4037,
      0.2773,
      0.4325,
      0.4361,
      0.3965,
      0.408,
      0.419,
      0.3409,
      0.21,
      0.1643,
      0.2421,
      0.2454,
      0.6128,
      0.3791,
      0.6415,
      0.3698,
      0.5705,
      0.6171,
      0.2947,
      0.4807,
      0.4293,
      0.6511,
      0.4306,
      0.2731,
      0.453,
      0.2861,
      0.2757,
      0.4557,
      0.5181,
      0.5328,
      0.3566,
      0.5715,
      0.5066,
      0.3417,
      0.2967,
      0.6403,
      0.4655,
      0.2944,
      0.5052,
      0.3957,
      0.3525,
      0.4721,
      0.5907,
      0.5642,
      0.553,
      0.4262,
      0.4233,
      0.4029,
      0.4315,
      0.4322,
      0.4103,
      0.3791,
      0.3059,
      0.2574,
      0.2152,
      0.4732,
      0.4025,
      0.271,
      0.2007,
      0.1961,
      0.5316,
      0.2803,
      0.2153,
      0.2167,
      0.1314,
      0.5437,
      0.4691,
      0.3762,
      0.4885,
      0.3055,
      0.3028,
      0.2811,
      0.3672,
      0.3208,
      0.4739,
      0.313,
      0.2978,
      0.342,
      0.4265,
      0.5406,
      0.4592,
      0.4428,
      0.3987,
      0.4344,
      0.42,
      0.367,
      0.3578,
      0.288,
      0.4435,
      0.5395,
      0.3772,
      0.4497,
      0.3835,
      0.3424,
      0.4109,
      0.5469,
      0.4143,
      0.4613,
      0.4379,
      0.3031,
      0.2967,
      0.2916,
      0.3135,
      0.3205,
      0.3842,
      0.3142,
      0.292,
      0.3837,
      0.3814,
      0.3542,
      0.4578,
      0.5739,
      0.5469,
      0.4796,
      0.5331,
      0.6041,
      0.3262,
      0.2851,
      0.4339,
      0.3454,
      0.352,
      0.3517,
      0.4233,
      0.3887,
      0.4831,
      0.5304,
      0.6128,
      0.5313,
      0.4659,
      0.5169,
      0.356,
      0.3471,
      0.4661,
      0.4687,
      0.4155,
      0.4689,
      0.2478,
      0.4299,
      0.5323,
      0.5798,
      0.505,
      0.4316,
      0.4691,
      0.4921,
      0.4595,
      0.3149,
      0.4376,
      0.5999,
      0.3489,
      0.3803,
      0.4215,
      0.4826,
      0.5088,
      0.4895,
      0.4519,
      0.5912,
      0.4415,
      0.4672,
      0.5165,
      0.5548,
      0.3542,
      0.36,
      0.52,
      0.466,
      0.5895,
      0.4142,
      0.4001,
      0.3741,
      0.2353,
      0.2158,
      0.3021,
      0.6027,
      0.4397,
      0.3837,
      0.5794,
      0.3751,
      0.4584,
      0.5149,
      0.6161,
      0.3391,
      0.591,
      0.4537,
      0.475,
      0.4558,
      0.4856,
      0.4806,
      0.5069,
      0.3745,
      0.5941,
      0.5812,
      0.4957,
      0.5639,
      0.5015,
      0.5312,
      0.3775,
      0.4762,
      0.5038,
      0.3929,
      0.4362,
      0.3662,
      0.4817,
      0.4455,
      0.5828,
      0.4351,
      0.4693,
      0.5295,
      0.4865,
      0.428,
      0.6382,
      0.4104,
      0.4114,
      0.4463,
      0.388,
      0.5048,
      0.5366,
      0.583,
      0.4628,
      0.3769,
      0.4593,
      0.4094,
      0.5774,
      0.5323,
      0.5196,
      0.5995,
      0.4747,
      0.4191,
      0.3845,
      0.4891,
      0.5069,
      0.58,
      0.4467,
      0.4413,
      0.3738,
      0.4111,
      0.3829,
      0.3402,
      0.3103,
      0.3684,
      0.331,
      0.3996,
      0.2726,
      0.3506,
      0.2028,
      0.0743,
      0.0734,
      0.0539,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3676,
      0.3003,
      0.4548,
      0.2959,
      0.1835,
      0.2589,
      0.0806,
      0.3547,
      0.2927,
      0.1702,
      0.2547,
      0.1876,
      0.3747,
      0.4952,
      0.5951,
      0.2749,
      0.2553,
      0.2155,
      0.0647,
      0.178,
      0.0565,
      0.2766,
      0,
      0.312,
      0.5713,
      0.2482,
      0.3949,
      0.2568,
      0.2533,
      0.3939,
      0.3663,
      0.2468,
      0.3113,
      0.4587,
      0.4617,
      0.4636,
      0.2806,
      0.56,
      0.3994,
      0.3731,
      0.5107,
      0.2417,
      0.3832,
      0.4946,
      0.3181,
      0.3632,
      0.1892,
      0.3032,
      0.316,
      0.3204,
      0.2205,
      0.4225,
      0.3605,
      0.4696,
      0.4186,
      0.3325,
      0.2002,
      0.176,
      0.3026,
      0.3253,
      0.6003,
      0.4058,
      0.7446,
      0.3721,
      0.5582,
      0.6034,
      0.2924,
      0.4988,
      0.594,
      0.5896,
      0.4114,
      0.3273,
      0.4587,
      0.406,
      0.2863,
      0.5268,
      0.4399,
      0.5205,
      0.455,
      0.4942,
      0.5034,
      0.3155,
      0.3113,
      0.4158,
      0.5579,
      0.2259,
      0.2541,
      0.4746,
      0.3318,
      0.4642,
      0.4386,
      0.6482,
      0.6401,
      0.5063,
      0.5689,
      0.3838,
      0.369,
      0.3493,
      0.3671,
      0.3184,
      0.2922,
      0.2318,
      0.2203,
      0.4814,
      0.3802,
      0.1736,
      0.2785,
      0.1512,
      0.3827,
      0.3019,
      0.2625,
      0.1806,
      0.2114,
      0.5883,
      0.4687,
      0.2895,
      0.4467,
      0.2898,
      0.2897,
      0.2224,
      0.3188,
      0.2649,
      0.3259,
      0.1776,
      0.4352,
      0.2671,
      0.4635,
      0.5001,
      0.3782,
      0.4167,
      0.4051,
      0.4251,
      0.3513,
      0.4009,
      0.2651,
      0.1902,
      0.3851,
      0.5928,
      0.2977,
      0.4086,
      0.4489,
      0.3242,
      0.4458,
      0.5223,
      0.3627,
      0.5171,
      0.4476,
      0.3528,
      0.4133,
      0.3611,
      0.331,
      0.2784,
      0.3015,
      0.2942,
      0.1887,
      0.2742,
      0.3583,
      0.3827,
      0.4302,
      0.4583,
      0.5199,
      0.5291,
      0.6255,
      0.4851,
      0.3291,
      0.2517,
      0.3873,
      0.4136,
      0.3696,
      0.4719,
      0.5748,
      0.3653,
      0.4283,
      0.5753,
      0.5444,
      0.5319,
      0.4292,
      0.387,
      0.2162,
      0.4942,
      0.4228,
      0.6156,
      0.3837,
      0.342,
      0.4426,
      0.4009,
      0.4824,
      0.5782,
      0.4286,
      0.4358,
      0.3813,
      0.5422,
      0.5133,
      0.4505,
      0.4239,
      0.4916,
      0.3236,
      0.4019,
      0.4205,
      0.4747,
      0.4163,
      0.5064,
      0.564,
      0.478,
      0.3949,
      0.4795,
      0.5455,
      0.5458,
      0.3115,
      0.5426,
      0.3926,
      0.4415,
      0.5883,
      0.3913,
      0.5197,
      0.4419,
      0.4013,
      0.2659,
      0.3329,
      0.6879,
      0.2918,
      0.3835,
      0.4997,
      0.4241,
      0.4541,
      0.482,
      0.5613,
      0.3115,
      0.6323,
      0.4672,
      0.4909,
      0.4006,
      0.3991,
      0.4328,
      0.6119,
      0.2755,
      0.4851,
      0.5654,
      0.4804,
      0.4434,
      0.3645,
      0.4945,
      0.4358,
      0.4046,
      0.523,
      0.5303,
      0.4661,
      0.3462,
      0.5236,
      0.3994,
      0.5786,
      0.4269,
      0.4138,
      0.5563,
      0.4495,
      0.3819,
      0.6489,
      0.4852,
      0.442,
      0.4514,
      0.3533,
      0.5006,
      0.4812,
      0.5445,
      0.5441,
      0.3697,
      0.3079,
      0.4312,
      0.5151,
      0.5112,
      0.4269,
      0.4705,
      0.4063,
      0.3429,
      0.4003,
      0.5661,
      0.5085,
      0.4901,
      0.5069,
      0.3854,
      0.3568,
      0.4279,
      0.4378,
      0.2933,
      0.2847,
      0.3038,
      0.2398,
      0.284,
      0.2698,
      0.2564,
      0.2064,
      0.0224,
      0.0419,
      0.0376,
      0,
      0,
      0,
      0,
      0,
      0,
      0.4703,
      0.293,
      0.3095,
      0.3481,
      0.1881,
      0.3089,
      0.251,
      0.3631,
      0.288,
      0.1923,
      0.2249,
      0.1454,
      0.2709,
      0.5141,
      0.4843,
      0.2293,
      0.3301,
      0.154,
      0.0619,
      0.14,
      0.0484,
      0.1407,
      0,
      0.3487,
      0.7218,
      0.2234,
      0.3799,
      0.2854,
      0.2523,
      0.3774,
      0.3979,
      0.3749,
      0.2357,
      0.4408,
      0.5474,
      0.3473,
      0.399,
      0.4418,
      0.5283,
      0.3202,
      0.521,
      0.1701,
      0.3678,
      0.5217,
      0.5899,
      0.4798,
      0.2745,
      0.327,
      0.4212,
      0.4065,
      0.3036,
      0.4005,
      0.6283,
      0.5238,
      0.4601,
      0.3481,
      0.2741,
      0.2248,
      0.312,
      0.4914,
      0.594,
      0.4685,
      0.7051,
      0.4143,
      0.5661,
      0.5664,
      0.4037,
      0.6029,
      0.5632,
      0.4405,
      0.4163,
      0.3212,
      0.4572,
      0.4231,
      0.2261,
      0.3818,
      0.4321,
      0.516,
      0.5183,
      0.3556,
      0.5371,
      0.6144,
      0.2494,
      0.4378,
      0.3279,
      0.2707,
      0.3238,
      0.3381,
      0.4232,
      0.4105,
      0.3721,
      0.6979,
      0.571,
      0.5989,
      0.4626,
      0.3669,
      0.3325,
      0.4182,
      0.4275,
      0.3831,
      0.2756,
      0.238,
      0.1612,
      0.4567,
      0.4446,
      0.3126,
      0.2092,
      0.1902,
      0.1964,
      0.3287,
      0.2689,
      0.1848,
      0.1821,
      0.5258,
      0.5397,
      0.3691,
      0.4701,
      0.2841,
      0.4644,
      0.2586,
      0.3855,
      0.3494,
      0.4019,
      0.3137,
      0.5702,
      0.2878,
      0.5516,
      0.5034,
      0.4678,
      0.47,
      0.4657,
      0.4156,
      0.3612,
      0.4847,
      0.257,
      0.3054,
      0.4771,
      0.5537,
      0.3659,
      0.4056,
      0.5168,
      0.2396,
      0.4027,
      0.5093,
      0.4221,
      0.4151,
      0.5376,
      0.4545,
      0.3899,
      0.4379,
      0.3451,
      0.3244,
      0.3185,
      0.3183,
      0.3721,
      0.252,
      0.2848,
      0.3929,
      0.3971,
      0.4318,
      0.5867,
      0.504,
      0.4782,
      0.4672,
      0.4035,
      0.3328,
      0.3917,
      0.4957,
      0.2951,
      0.4941,
      0.653,
      0.4213,
      0.4562,
      0.5203,
      0.6188,
      0.6645,
      0.4578,
      0.4594,
      0.2604,
      0.5794,
      0.3892,
      0.7176,
      0.3751,
      0.3365,
      0.5624,
      0.4053,
      0.5478,
      0.5433,
      0.478,
      0.5314,
      0.4651,
      0.4851,
      0.548,
      0.4857,
      0.4191,
      0.4981,
      0.3007,
      0.5353,
      0.3659,
      0.4937,
      0.4649,
      0.5345,
      0.5636,
      0.4632,
      0.4564,
      0.4814,
      0.5847,
      0.5223,
      0.3035,
      0.6205,
      0.3568,
      0.4273,
      0.5318,
      0.402,
      0.6274,
      0.3692,
      0.2382,
      0.1729,
      0.4779,
      0.7601,
      0.4914,
      0.425,
      0.3999,
      0.3219,
      0.518,
      0.4409,
      0.5507,
      0.3913,
      0.5982,
      0.3733,
      0.4808,
      0.4781,
      0.5294,
      0.5983,
      0.6258,
      0.361,
      0.5947,
      0.4699,
      0.4121,
      0.4829,
      0.3966,
      0.4046,
      0.464,
      0.4026,
      0.4079,
      0.3646,
      0.5099,
      0.4126,
      0.5484,
      0.3318,
      0.6086,
      0.4498,
      0.4641,
      0.4387,
      0.4697,
      0.4646,
      0.5143,
      0.5463,
      0.4163,
      0.3989,
      0.4326,
      0.4995,
      0.5846,
      0.4359,
      0.4983,
      0.4104,
      0.4213,
      0.5504,
      0.5165,
      0.5244,
      0.435,
      0.5365,
      0.5141,
      0.3056,
      0.4181,
      0.5589,
      0.5903,
      0.5864,
      0.4886,
      0.4168,
      0.3661,
      0.3991,
      0.43,
      0.3351,
      0.3429,
      0.2743,
      0.2856,
      0.2817,
      0.236,
      0.2604,
      0.3535,
      0.0458,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2708,
      0.2418,
      0.1993,
      0.4573,
      0.1168,
      0.2484,
      0.2191,
      0.2959,
      0.2732,
      0.1289,
      0.2876,
      0.1655,
      0.2794,
      0.4227,
      0.4414,
      0.2363,
      0.3297,
      0.1006,
      0.0495,
      0.2433,
      0.0795,
      0.1852,
      0,
      0.3553,
      0.7663,
      0.2487,
      0.4276,
      0.2173,
      0.2574,
      0.306,
      0.3787,
      0.3208,
      0.3035,
      0.4684,
      0.4555,
      0.4224,
      0.5963,
      0.7209,
      0.4556,
      0.2929,
      0.3197,
      0.2085,
      0.3611,
      0.5262,
      0.6225,
      0.3992,
      0.2539,
      0.3363,
      0.5725,
      0.5668,
      0.3557,
      0.345,
      0.3763,
      0.5355,
      0.4201,
      0.3206,
      0.2258,
      0.2343,
      0.3609,
      0.4385,
      0.5995,
      0.3956,
      0.4995,
      0.2816,
      0.5382,
      0.5384,
      0.4237,
      0.5374,
      0.5371,
      0.342,
      0.4074,
      0.3822,
      0.3424,
      0.4086,
      0.4911,
      0.2586,
      0.4299,
      0.5652,
      0.5127,
      0.3704,
      0.5146,
      0.7075,
      0.3243,
      0.3932,
      0.3782,
      0.3001,
      0.4645,
      0.3457,
      0.4169,
      0.4178,
      0.3699,
      0.7257,
      0.4632,
      0.4546,
      0.4605,
      0.3623,
      0.3743,
      0.4886,
      0.3997,
      0.3964,
      0.3155,
      0.2871,
      0.1678,
      0.4384,
      0.4165,
      0.2406,
      0.2181,
      0.1633,
      0.1324,
      0.3213,
      0.3417,
      0.1496,
      0.1525,
      0.4695,
      0.549,
      0.3765,
      0.487,
      0.26,
      0.2535,
      0.2914,
      0.3872,
      0.3235,
      0.4088,
      0.3119,
      0.6831,
      0.282,
      0.5494,
      0.4729,
      0.4159,
      0.4425,
      0.3539,
      0.4608,
      0.3185,
      0.4806,
      0.3194,
      0.2305,
      0.5506,
      0.5586,
      0.3428,
      0.3777,
      0.7275,
      0.3104,
      0.4247,
      0.4752,
      0.2766,
      0.4982,
      0.6662,
      0.355,
      0.3701,
      0.4304,
      0.2996,
      0.421,
      0.228,
      0.3904,
      0.4078,
      0.3257,
      0.2794,
      0.3753,
      0.4383,
      0.5099,
      0.5845,
      0.4485,
      0.4553,
      0.5293,
      0.5303,
      0.3427,
      0.4224,
      0.5186,
      0.3487,
      0.5078,
      0.713,
      0.3674,
      0.3784,
      0.5011,
      0.6295,
      0.5041,
      0.4163,
      0.4486,
      0.33,
      0.6019,
      0.4334,
      0.6581,
      0.2973,
      0.3458,
      0.6463,
      0.3879,
      0.4997,
      0.5848,
      0.5097,
      0.646,
      0.5122,
      0.4485,
      0.5237,
      0.5665,
      0.3203,
      0.494,
      0.3757,
      0.3823,
      0.4449,
      0.4899,
      0.5827,
      0.5683,
      0.3842,
      0.4352,
      0.7447,
      0.5053,
      0.6416,
      0.4804,
      0.4454,
      0.5428,
      0.2478,
      0.4789,
      0.5843,
      0.3603,
      0.6546,
      0.3304,
      0.2188,
      0.2577,
      0.4147,
      0.5564,
      0.5546,
      0.4259,
      0.3569,
      0.3886,
      0.4359,
      0.5252,
      0.5973,
      0.4011,
      0.4302,
      0.4382,
      0.5319,
      0.5323,
      0.5418,
      0.6899,
      0.5531,
      0.5595,
      0.5246,
      0.674,
      0.4817,
      0.493,
      0.4149,
      0.4772,
      0.7039,
      0.3973,
      0.622,
      0.3913,
      0.5335,
      0.3182,
      0.6426,
      0.3908,
      0.5503,
      0.485,
      0.4855,
      0.4767,
      0.4785,
      0.623,
      0.3722,
      0.5705,
      0.3733,
      0.472,
      0.5648,
      0.3825,
      0.5854,
      0.5074,
      0.5319,
      0.4268,
      0.4968,
      0.639,
      0.5356,
      0.4609,
      0.4599,
      0.4642,
      0.5417,
      0.4062,
      0.4748,
      0.3859,
      0.5578,
      0.5934,
      0.6208,
      0.4166,
      0.3228,
      0.4026,
      0.4074,
      0.2978,
      0.3831,
      0.2361,
      0.3125,
      0.3381,
      0.2348,
      0.2613,
      0.1169,
      0.0658,
      0,
      0.0186,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2961,
      0.22,
      0.2439,
      0.3341,
      0.1353,
      0.3435,
      0.1345,
      0.1671,
      0.1768,
      0.1819,
      0.2978,
      0.1566,
      0.2772,
      0.3878,
      0.3631,
      0.1747,
      0.5347,
      0.1128,
      0.039,
      0.2188,
      0.0283,
      0.2174,
      0,
      0.3431,
      0.4335,
      0.2355,
      0.3831,
      0.1773,
      0.223,
      0.4404,
      0.2657,
      0.2729,
      0.2724,
      0.4351,
      0.403,
      0.3569,
      0.4114,
      0.5106,
      0.2833,
      0.2152,
      0.2038,
      0.341,
      0.3582,
      0.5186,
      0.3467,
      0.4326,
      0.2197,
      0.305,
      0.3386,
      0.3662,
      0.1796,
      0.2593,
      0.2919,
      0.2568,
      0.3912,
      0.3059,
      0.1448,
      0.0625,
      0.3705,
      0.2931,
      0.6113,
      0.2725,
      0.4056,
      0.209,
      0.5027,
      0.5025,
      0.596,
      0.4287,
      0.4007,
      0.2991,
      0.353,
      0.252,
      0.4769,
      0.4333,
      0.2379,
      0.3514,
      0.4598,
      0.5041,
      0.4423,
      0.5597,
      0.5778,
      0.3178,
      0.3093,
      0.3708,
      0.4379,
      0.2257,
      0.555,
      0.5056,
      0.3414,
      0.4353,
      0.3885,
      0.7571,
      0.4703,
      0.4873,
      0.4325,
      0.3073,
      0.4285,
      0.4662,
      0.3499,
      0.3234,
      0.5162,
      0.294,
      0.1397,
      0.3439,
      0.3047,
      0.1862,
      0.1982,
      0.203,
      0.148,
      0.2815,
      0.3556,
      0.1102,
      0.1721,
      0.4462,
      0.5723,
      0.2987,
      0.4387,
      0.2223,
      0.2597,
      0.2191,
      0.3097,
      0.3202,
      0.2778,
      0.2713,
      0.5804,
      0.1874,
      0.4217,
      0.4319,
      0.4222,
      0.3742,
      0.2694,
      0.4401,
      0.303,
      0.3362,
      0.3359,
      0.224,
      0.4361,
      0.5709,
      0.3157,
      0.4015,
      0.504,
      0.308,
      0.4639,
      0.5198,
      0.3263,
      0.4746,
      0.389,
      0.4237,
      0.3119,
      0.3846,
      0.1932,
      0.4993,
      0.329,
      0.235,
      0.3618,
      0.1984,
      0.3734,
      0.2323,
      0.4222,
      0.484,
      0.5786,
      0.3932,
      0.3907,
      0.5062,
      0.5823,
      0.3279,
      0.4278,
      0.392,
      0.3591,
      0.4854,
      0.7176,
      0.3283,
      0.4144,
      0.5435,
      0.555,
      0.4033,
      0.3777,
      0.402,
      0.3983,
      0.6017,
      0.4304,
      0.4627,
      0.3656,
      0.2336,
      0.3771,
      0.3744,
      0.4961,
      0.5377,
      0.5311,
      0.7534,
      0.5094,
      0.4095,
      0.5311,
      0.6168,
      0.4507,
      0.4814,
      0.2979,
      0.3835,
      0.5812,
      0.5064,
      0.5775,
      0.4125,
      0.3536,
      0.3158,
      0.6397,
      0.4721,
      0.6505,
      0.3916,
      0.5256,
      0.2855,
      0.2344,
      0.4234,
      0.5065,
      0.3099,
      0.6866,
      0.2984,
      0.2884,
      0.2726,
      0.5186,
      0.4415,
      0.3651,
      0.2865,
      0.3008,
      0.3189,
      0.4495,
      0.4385,
      0.5799,
      0.3718,
      0.3121,
      0.2943,
      0.5852,
      0.6095,
      0.4828,
      0.6536,
      0.4299,
      0.3714,
      0.4264,
      0.5707,
      0.4134,
      0.551,
      0.5404,
      0.4426,
      0.7645,
      0.4492,
      0.6485,
      0.5322,
      0.5793,
      0.3401,
      0.5743,
      0.4789,
      0.47,
      0.4354,
      0.4266,
      0.4378,
      0.3637,
      0.6508,
      0.5074,
      0.54,
      0.3731,
      0.4362,
      0.5081,
      0.466,
      0.6316,
      0.3515,
      0.4501,
      0.4703,
      0.6546,
      0.4579,
      0.4486,
      0.4469,
      0.3336,
      0.5271,
      0.4939,
      0.2563,
      0.6845,
      0.4164,
      0.557,
      0.5041,
      0.6323,
      0.4402,
      0.2963,
      0.3359,
      0.4116,
      0.3391,
      0.4371,
      0.3374,
      0.315,
      0.4299,
      0.1224,
      0.2408,
      0.1524,
      0,
      0.0201,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3103,
      0.1638,
      0.139,
      0.296,
      0.2237,
      0.2776,
      0.2244,
      0.274,
      0.3151,
      0.2986,
      0.3011,
      0.1036,
      0.2459,
      0.3279,
      0.3647,
      0.1383,
      0.4375,
      0.2277,
      0.1955,
      0.2114,
      0.1773,
      0.2743,
      0,
      0.3638,
      0.4511,
      0.2216,
      0.3574,
      0.1947,
      0.2543,
      0.3709,
      0.335,
      0.3746,
      0.3943,
      0.4693,
      0.4532,
      0.4232,
      0.347,
      0.3622,
      0.3501,
      0.2422,
      0.3104,
      0.3022,
      0.3391,
      0.5464,
      0.321,
      0.3979,
      0.2335,
      0.3895,
      0.2351,
      0.2821,
      0.2208,
      0.2257,
      0.2881,
      0.2253,
      0.3491,
      0.2287,
      0.1459,
      0.1485,
      0.3679,
      0.2682,
      0.608,
      0.2907,
      0.3969,
      0.2645,
      0.4928,
      0.5338,
      0.3358,
      0.4282,
      0.4854,
      0.4394,
      0.4157,
      0.3294,
      0.4239,
      0.3858,
      0.3596,
      0.4296,
      0.534,
      0.552,
      0.4879,
      0.6469,
      0.6183,
      0.4707,
      0.4138,
      0.3691,
      0.5638,
      0.4315,
      0.6227,
      0.5311,
      0.3736,
      0.4691,
      0.4126,
      0.6634,
      0.4852,
      0.4989,
      0.5008,
      0.4671,
      0.4266,
      0.4382,
      0.5011,
      0.426,
      0.5093,
      0.298,
      0.1343,
      0.3212,
      0.3375,
      0.1899,
      0.2063,
      0.1751,
      0.18,
      0.2955,
      0.2272,
      0.205,
      0.1645,
      0.4326,
      0.5181,
      0.2888,
      0.4937,
      0.3318,
      0.2622,
      0.2328,
      0.3447,
      0.3436,
      0.274,
      0.3109,
      0.3155,
      0.3563,
      0.4273,
      0.4915,
      0.4395,
      0.4291,
      0.4225,
      0.4841,
      0.3954,
      0.3613,
      0.4105,
      0.3555,
      0.5365,
      0.5735,
      0.4093,
      0.4391,
      0.4372,
      0.3817,
      0.5249,
      0.411,
      0.4193,
      0.467,
      0.4107,
      0.466,
      0.4728,
      0.4749,
      0.3474,
      0.5141,
      0.3666,
      0.3604,
      0.4199,
      0.3205,
      0.3533,
      0.328,
      0.4382,
      0.4269,
      0.5632,
      0.4785,
      0.3944,
      0.5951,
      0.4808,
      0.4044,
      0.4075,
      0.4018,
      0.4275,
      0.4085,
      0.6292,
      0.3154,
      0.3914,
      0.5179,
      0.4742,
      0.3761,
      0.5457,
      0.4606,
      0.4124,
      0.4045,
      0.4928,
      0.4356,
      0.4317,
      0.4109,
      0.321,
      0.471,
      0.5316,
      0.5244,
      0.406,
      0.7344,
      0.6443,
      0.451,
      0.5704,
      0.6286,
      0.4392,
      0.5442,
      0.3579,
      0.3872,
      0.306,
      0.4605,
      0.5431,
      0.4935,
      0.4215,
      0.4501,
      0.5011,
      0.5214,
      0.6604,
      0.5109,
      0.5592,
      0.3762,
      0.2859,
      0.4598,
      0.5704,
      0.3949,
      0.7061,
      0.2295,
      0.2481,
      0.1889,
      0.4501,
      0.4144,
      0.3539,
      0.2237,
      0.2488,
      0.2533,
      0.3843,
      0.48,
      0.5789,
      0.342,
      0.3067,
      0.2616,
      0.5025,
      0.6646,
      0.4259,
      0.5087,
      0.4264,
      0.3814,
      0.409,
      0.5029,
      0.411,
      0.4939,
      0.5613,
      0.5021,
      0.4959,
      0.4983,
      0.3911,
      0.6573,
      0.5609,
      0.4704,
      0.5038,
      0.5553,
      0.5771,
      0.4779,
      0.4788,
      0.503,
      0.3667,
      0.6388,
      0.4341,
      0.4161,
      0.4083,
      0.4473,
      0.4554,
      0.4651,
      0.5932,
      0.4126,
      0.44,
      0.6122,
      0.6685,
      0.5624,
      0.5555,
      0.4805,
      0.4631,
      0.4819,
      0.4545,
      0.4493,
      0.4867,
      0.4138,
      0.5238,
      0.4994,
      0.4986,
      0.3956,
      0.3308,
      0.4232,
      0.4336,
      0.4571,
      0.3184,
      0.3997,
      0.3991,
      0.4263,
      0.2284,
      0.2645,
      0.2312,
      0.1954,
      0.039,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3687,
      0.2236,
      0.2438,
      0.3478,
      0.237,
      0.3199,
      0.2683,
      0.2283,
      0.2988,
      0.3523,
      0.2895,
      0.1148,
      0.4461,
      0.3402,
      0.4019,
      0.1759,
      0.2601,
      0.2521,
      0.2731,
      0.2205,
      0.2252,
      0.458,
      0,
      0.3627,
      0.439,
      0.2723,
      0.3549,
      0.2424,
      0.2248,
      0.3529,
      0.283,
      0.315,
      0.3676,
      0.4627,
      0.4386,
      0.5641,
      0.33,
      0.3958,
      0.3011,
      0.25,
      0.2753,
      0.2128,
      0.3662,
      0.5349,
      0.2523,
      0.3598,
      0.1676,
      0.3471,
      0.2645,
      0.2439,
      0.2401,
      0.1975,
      0.327,
      0.344,
      0.3232,
      0.288,
      0.2061,
      0.1737,
      0.3637,
      0.3252,
      0.5951,
      0.3422,
      0.4863,
      0.3369,
      0.5226,
      0.4635,
      0.3733,
      0.4255,
      0.3171,
      0.4683,
      0.3877,
      0.431,
      0.4177,
      0.3878,
      0.2959,
      0.5048,
      0.5799,
      0.5266,
      0.2405,
      0.6856,
      0.6162,
      0.4457,
      0.2913,
      0.554,
      0.5677,
      0.4406,
      0.5872,
      0.3537,
      0.3509,
      0.3899,
      0.4528,
      0.5836,
      0.4923,
      0.4769,
      0.3919,
      0.3862,
      0.4482,
      0.3902,
      0.4693,
      0.4035,
      0.284,
      0.7081,
      0.1756,
      0.3562,
      0.3697,
      0.1311,
      0.159,
      0.184,
      0.1906,
      0.3168,
      0.2677,
      0.1971,
      0.1559,
      0.4221,
      0.5375,
      0.3262,
      0.5422,
      0.3891,
      0.3609,
      0.2058,
      0.3304,
      0.3052,
      0.3,
      0.3996,
      0.2868,
      0.4161,
      0.3793,
      0.4221,
      0.4366,
      0.6784,
      0.4182,
      0.4464,
      0.3891,
      0.3521,
      0.3253,
      0.3162,
      0.4688,
      0.5044,
      0.3018,
      0.3302,
      0.2847,
      0.3676,
      0.5951,
      0.3378,
      0.3476,
      0.4516,
      0.2891,
      0.5669,
      0.3833,
      0.2623,
      0.282,
      0.4398,
      0.3164,
      0.1959,
      0.3876,
      0.4435,
      0.277,
      0.3536,
      0.392,
      0.4013,
      0.5658,
      0.6487,
      0.4358,
      0.6742,
      0.3008,
      0.3443,
      0.4254,
      0.3392,
      0.5396,
      0.3483,
      0.4655,
      0.2766,
      0.3935,
      0.5406,
      0.5217,
      0.4609,
      0.5952,
      0.3232,
      0.3816,
      0.329,
      0.4724,
      0.5062,
      0.3516,
      0.4069,
      0.3567,
      0.6074,
      0.5063,
      0.4741,
      0.4974,
      0.463,
      0.5512,
      0.3967,
      0.5002,
      0.4037,
      0.4345,
      0.4387,
      0.3509,
      0.3185,
      0.3155,
      0.4734,
      0.3908,
      0.5017,
      0.3214,
      0.5359,
      0.4374,
      0.4329,
      0.5303,
      0.5566,
      0.3942,
      0.2873,
      0.3898,
      0.4632,
      0.5641,
      0.4073,
      0.609,
      0.2139,
      0.2338,
      0.191,
      0.3834,
      0.4434,
      0.3732,
      0.3761,
      0.289,
      0.4731,
      0.4894,
      0.3828,
      0.5853,
      0.341,
      0.3932,
      0.2318,
      0.3669,
      0.5972,
      0.3611,
      0.4114,
      0.4658,
      0.3718,
      0.4752,
      0.5459,
      0.4437,
      0.5128,
      0.5305,
      0.5546,
      0.4412,
      0.5394,
      0.3533,
      0.4671,
      0.4617,
      0.3604,
      0.4944,
      0.6205,
      0.6025,
      0.4489,
      0.4299,
      0.5951,
      0.4223,
      0.3583,
      0.51,
      0.4792,
      0.3683,
      0.5026,
      0.4357,
      0.5863,
      0.6238,
      0.3777,
      0.4888,
      0.6238,
      0.4896,
      0.4452,
      0.4809,
      0.3525,
      0.4366,
      0.4517,
      0.4119,
      0.3299,
      0.4118,
      0.4629,
      0.5529,
      0.4928,
      0.4741,
      0.4275,
      0.3003,
      0.3295,
      0.4688,
      0.385,
      0.3542,
      0.2356,
      0.4136,
      0.4206,
      0.2299,
      0.1814,
      0.2012,
      0.0624,
      0.0282,
      0.026,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3014,
      0.452,
      0.2414,
      0.3893,
      0.2448,
      0.3921,
      0.4119,
      0.2891,
      0.3045,
      0.2968,
      0.2798,
      0.1654,
      0.5108,
      0.4744,
      0.5545,
      0.1563,
      0.2055,
      0.2198,
      0.169,
      0.216,
      0.1724,
      0.3024,
      0,
      0.3296,
      0.4812,
      0.2353,
      0.392,
      0.277,
      0.2453,
      0.36,
      0.4265,
      0.3327,
      0.4407,
      0.4141,
      0.4815,
      0.5917,
      0.3136,
      0.3415,
      0.4031,
      0.2584,
      0.4036,
      0.3368,
      0.3008,
      0.5578,
      0.3157,
      0.3561,
      0.225,
      0.2797,
      0.1984,
      0.222,
      0.2478,
      0.1387,
      0.2798,
      0.3881,
      0.347,
      0.2583,
      0.2134,
      0.1064,
      0.3646,
      0.3324,
      0.5767,
      0.3514,
      0.5974,
      0.4363,
      0.5712,
      0.5052,
      0.3632,
      0.435,
      0.4631,
      0.5472,
      0.4367,
      0.3648,
      0.387,
      0.3552,
      0.2672,
      0.494,
      0.4225,
      0.5245,
      0.3657,
      0.6052,
      0.5683,
      0.5346,
      0.332,
      0.5042,
      0.5352,
      0.3285,
      0.3495,
      0.2497,
      0.335,
      0.4803,
      0.578,
      0.5762,
      0.5178,
      0.5013,
      0.3825,
      0.4781,
      0.4276,
      0.3976,
      0.5248,
      0.3053,
      0.2762,
      0.3584,
      0.1819,
      0.4172,
      0.3619,
      0.1837,
      0.1557,
      0.1094,
      0.3279,
      0.3216,
      0.3036,
      0.4237,
      0.096,
      0.3732,
      0.5457,
      0.3126,
      0.5136,
      0.3449,
      0.3606,
      0.256,
      0.3858,
      0.341,
      0.2971,
      0.2075,
      0.2516,
      0.4463,
      0.3686,
      0.5453,
      0.479,
      0.4954,
      0.4545,
      0.4122,
      0.3814,
      0.3202,
      0.323,
      0.2301,
      0.4374,
      0.5706,
      0.3238,
      0.467,
      0.4131,
      0.3603,
      0.5947,
      0.3582,
      0.3956,
      0.3635,
      0.2848,
      0.4998,
      0.3554,
      0.296,
      0.3522,
      0.4131,
      0.3517,
      0.2775,
      0.311,
      0.2947,
      0.2506,
      0.3815,
      0.464,
      0.4912,
      0.5913,
      0.5941,
      0.4295,
      0.7205,
      0.3667,
      0.3507,
      0.4139,
      0.3422,
      0.5949,
      0.4163,
      0.3958,
      0.3031,
      0.3404,
      0.5718,
      0.363,
      0.4518,
      0.5428,
      0.4047,
      0.3072,
      0.2934,
      0.4334,
      0.4407,
      0.3628,
      0.335,
      0.3927,
      0.4961,
      0.4962,
      0.5165,
      0.4965,
      0.3603,
      0.4676,
      0.4573,
      0.5236,
      0.3424,
      0.6637,
      0.3658,
      0.35,
      0.3598,
      0.2353,
      0.5208,
      0.3339,
      0.5251,
      0.5354,
      0.406,
      0.4798,
      0.4121,
      0.4309,
      0.4482,
      0.454,
      0.3275,
      0.312,
      0.4649,
      0.6111,
      0.4816,
      0.3454,
      0.1556,
      0.0967,
      0.2646,
      0.3175,
      0.4203,
      0.4437,
      0.3565,
      0.4623,
      0.4729,
      0.4353,
      0.4375,
      0.5868,
      0.2749,
      0.4352,
      0.5693,
      0.439,
      0.4172,
      0.3853,
      0.4692,
      0.4796,
      0.4417,
      0.6024,
      0.4702,
      0.5536,
      0.541,
      0.5792,
      0.5024,
      0.4355,
      0.526,
      0.352,
      0.3801,
      0.3234,
      0.3877,
      0.4318,
      0.594,
      0.5587,
      0.3806,
      0.4198,
      0.5503,
      0.4465,
      0.3767,
      0.5827,
      0.5871,
      0.4352,
      0.4409,
      0.4261,
      0.5508,
      0.5699,
      0.4345,
      0.4838,
      0.5326,
      0.4726,
      0.5386,
      0.5313,
      0.4422,
      0.4822,
      0.5534,
      0.409,
      0.3364,
      0.441,
      0.4672,
      0.5761,
      0.5374,
      0.4922,
      0.4322,
      0.4079,
      0.4271,
      0.4369,
      0.3633,
      0.4194,
      0.368,
      0.402,
      0.475,
      0.2356,
      0.3126,
      0.1906,
      0.1203,
      0.0685,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.433,
      0.3835,
      0.3373,
      0.4141,
      0.206,
      0.2807,
      0.3253,
      0.2327,
      0.4587,
      0.2379,
      0.3506,
      0.1446,
      0.3388,
      0.5562,
      0.6986,
      0.1558,
      0.1854,
      0.215,
      0.0268,
      0.157,
      0.14,
      0.2575,
      0,
      0.2703,
      0.4749,
      0.3015,
      0.2873,
      0.2132,
      0.1871,
      0.3783,
      0.3815,
      0.3564,
      0.3912,
      0.4306,
      0.4695,
      0.4134,
      0.3269,
      0.4673,
      0.3323,
      0.3319,
      0.5555,
      0.3887,
      0.3714,
      0.5991,
      0.3106,
      0.3877,
      0.2765,
      0.3121,
      0.2239,
      0.2983,
      0.2733,
      0.1962,
      0.2456,
      0.339,
      0.3528,
      0.2307,
      0.2087,
      0.0776,
      0.3306,
      0.5388,
      0.5826,
      0.4489,
      0.6983,
      0.4421,
      0.5712,
      0.6126,
      0.4264,
      0.5374,
      0.5043,
      0.5596,
      0.4231,
      0.3563,
      0.3797,
      0.2922,
      0.2542,
      0.5321,
      0.4722,
      0.4965,
      0.4391,
      0.5551,
      0.5711,
      0.4689,
      0.3435,
      0.3053,
      0.4868,
      0.3104,
      0.3383,
      0.527,
      0.4731,
      0.4734,
      0.6026,
      0.6007,
      0.6086,
      0.4676,
      0.5431,
      0.482,
      0.4,
      0.4332,
      0.7054,
      0.3938,
      0.2601,
      0.3213,
      0.1644,
      0.552,
      0.6583,
      0.2025,
      0.1443,
      0.1215,
      0.5312,
      0.2768,
      0.3005,
      0.6458,
      0.1062,
      0.3881,
      0.5714,
      0.3757,
      0.4881,
      0.3364,
      0.3147,
      0.1852,
      0.3695,
      0.2878,
      0.4881,
      0.1781,
      0.2648,
      0.3961,
      0.4358,
      0.4764,
      0.6867,
      0.3883,
      0.3543,
      0.4541,
      0.4039,
      0.3501,
      0.2624,
      0.2271,
      0.3542,
      0.5514,
      0.3253,
      0.4346,
      0.3203,
      0.345,
      0.4747,
      0.4895,
      0.5053,
      0.4547,
      0.2487,
      0.2482,
      0.3136,
      0.3213,
      0.2595,
      0.3403,
      0.2431,
      0.2715,
      0.2053,
      0.3062,
      0.3855,
      0.4007,
      0.4665,
      0.4738,
      0.6039,
      0.5882,
      0.7294,
      0.7201,
      0.4061,
      0.4179,
      0.3741,
      0.2933,
      0.5756,
      0.5619,
      0.4364,
      0.4538,
      0.383,
      0.5266,
      0.4889,
      0.4406,
      0.5598,
      0.4117,
      0.2811,
      0.3249,
      0.39,
      0.391,
      0.3929,
      0.3351,
      0.3277,
      0.3676,
      0.5372,
      0.5629,
      0.5492,
      0.4418,
      0.4146,
      0.5353,
      0.5236,
      0.3215,
      0.4754,
      0.3719,
      0.2147,
      0.3914,
      0.3047,
      0.5407,
      0.4751,
      0.5128,
      0.6657,
      0.4196,
      0.4647,
      0.412,
      0.5176,
      0.4584,
      0.5011,
      0.3724,
      0.29,
      0.3123,
      0.5588,
      0.4188,
      0.3688,
      0.3256,
      0.2446,
      0.2964,
      0.3585,
      0.4652,
      0.4791,
      0.3591,
      0.5614,
      0.3861,
      0.3721,
      0.4266,
      0.6082,
      0.2661,
      0.5866,
      0.5115,
      0.3734,
      0.4279,
      0.4091,
      0.4907,
      0.4896,
      0.4275,
      0.5796,
      0.5144,
      0.4955,
      0.4845,
      0.578,
      0.5271,
      0.3741,
      0.5544,
      0.5585,
      0.4888,
      0.4526,
      0.2891,
      0.5495,
      0.4498,
      0.6444,
      0.452,
      0.4436,
      0.4766,
      0.3752,
      0.4246,
      0.5342,
      0.5598,
      0.5259,
      0.4408,
      0.3611,
      0.4833,
      0.6111,
      0.4727,
      0.5595,
      0.47,
      0.4625,
      0.4641,
      0.4813,
      0.4576,
      0.3325,
      0.57,
      0.3632,
      0.274,
      0.4129,
      0.4995,
      0.6171,
      0.4589,
      0.4935,
      0.5069,
      0.3501,
      0.499,
      0.4515,
      0.2817,
      0.5129,
      0.2884,
      0.2132,
      0.4687,
      0.1867,
      0.2981,
      0.43,
      0.0145,
      0.1889,
      0.1078,
      0.0288,
      0,
      0,
      0,
      0,
      0,
      0.4709,
      0.2236,
      0.3196,
      0.3521,
      0.2228,
      0.2476,
      0.2396,
      0.2851,
      0.4374,
      0.2475,
      0.3075,
      0.1324,
      0.2676,
      0.4885,
      0.6385,
      0.233,
      0.2207,
      0.1579,
      0.0503,
      0.1762,
      0.1438,
      0.2184,
      0,
      0.2579,
      0.56,
      0.1606,
      0.3568,
      0.2045,
      0.2749,
      0.353,
      0.3764,
      0.3366,
      0.3263,
      0.4002,
      0.5037,
      0.4577,
      0.5728,
      0.5265,
      0.3523,
      0.4324,
      0.6675,
      0.3488,
      0.3629,
      0.5441,
      0.5302,
      0.4192,
      0.2261,
      0.2933,
      0.3241,
      0.2862,
      0.3435,
      0.3092,
      0.2226,
      0.3266,
      0.365,
      0.3481,
      0.2188,
      0.1128,
      0.2884,
      0.6137,
      0.5057,
      0.5379,
      0.6954,
      0.37,
      0.542,
      0.5972,
      0.336,
      0.5,
      0.5927,
      0.4923,
      0.3691,
      0.3611,
      0.3787,
      0.328,
      0.1799,
      0.443,
      0.3986,
      0.571,
      0.4284,
      0.3939,
      0.5115,
      0.4343,
      0.3033,
      0.3832,
      0.5153,
      0.2941,
      0.3943,
      0.3183,
      0.3872,
      0.467,
      0.3792,
      0.6433,
      0.6705,
      0.424,
      0.5549,
      0.4733,
      0.435,
      0.3883,
      0.7166,
      0.5321,
      0.2495,
      0.2814,
      0.2234,
      0.4666,
      0.3913,
      0.2825,
      0.2189,
      0.1871,
      0.1816,
      0.2721,
      0.2595,
      0.2899,
      0.1582,
      0.4672,
      0.6117,
      0.3584,
      0.5284,
      0.3102,
      0.3825,
      0.2911,
      0.3595,
      0.3019,
      0.5483,
      0.2268,
      0.2842,
      0.3345,
      0.3736,
      0.482,
      0.468,
      0.3281,
      0.3486,
      0.6157,
      0.325,
      0.391,
      0.3207,
      0.1965,
      0.3911,
      0.5252,
      0.2803,
      0.419,
      0.3088,
      0.3214,
      0.3766,
      0.385,
      0.6125,
      0.4001,
      0.2626,
      0.2982,
      0.3701,
      0.3907,
      0.3083,
      0.349,
      0.2916,
      0.2564,
      0.1805,
      0.3153,
      0.3627,
      0.3147,
      0.46,
      0.4331,
      0.5467,
      0.5956,
      0.7206,
      0.5283,
      0.3923,
      0.3569,
      0.2803,
      0.3687,
      0.296,
      0.6046,
      0.6478,
      0.4134,
      0.4519,
      0.5972,
      0.5327,
      0.3573,
      0.5247,
      0.4379,
      0.2631,
      0.4942,
      0.3654,
      0.391,
      0.3718,
      0.3055,
      0.4254,
      0.3209,
      0.4793,
      0.5136,
      0.4609,
      0.4791,
      0.343,
      0.4855,
      0.5175,
      0.5362,
      0.3143,
      0.3479,
      0.2868,
      0.4573,
      0.4085,
      0.6092,
      0.458,
      0.3999,
      0.6383,
      0.3264,
      0.4023,
      0.3884,
      0.484,
      0.3673,
      0.4955,
      0.4831,
      0.2462,
      0.4033,
      0.5784,
      0.3876,
      0.4657,
      0.3695,
      0.2977,
      0.2312,
      0.3401,
      0.4347,
      0.4469,
      0.4322,
      0.457,
      0.3698,
      0.3773,
      0.479,
      0.6014,
      0.3352,
      0.6079,
      0.3476,
      0.4164,
      0.5056,
      0.5205,
      0.5462,
      0.5141,
      0.3977,
      0.4475,
      0.4992,
      0.4325,
      0.4816,
      0.5255,
      0.3714,
      0.3341,
      0.5229,
      0.3355,
      0.4305,
      0.3908,
      0.2804,
      0.4307,
      0.4509,
      0.5876,
      0.443,
      0.4363,
      0.558,
      0.314,
      0.3631,
      0.3923,
      0.4912,
      0.4405,
      0.5215,
      0.3704,
      0.4971,
      0.5072,
      0.3974,
      0.4957,
      0.5707,
      0.3462,
      0.6792,
      0.7258,
      0.6776,
      0.3776,
      0.408,
      0.4187,
      0.255,
      0.3267,
      0.677,
      0.7147,
      0.6596,
      0.4713,
      0.6265,
      0.3172,
      0.3573,
      0.406,
      0.2654,
      0.5384,
      0.2109,
      0.1519,
      0.4467,
      0.1398,
      0.4138,
      0.3719,
      0,
      0.2185,
      0.0525,
      0.0338,
      0,
      0,
      0,
      0,
      0,
      0.5167,
      0.2533,
      0.2263,
      0.4686,
      0.2779,
      0.3056,
      0.2229,
      0.2335,
      0.3274,
      0.2559,
      0.1829,
      0.1433,
      0.2485,
      0.3777,
      0.5403,
      0.2469,
      0.337,
      0.1675,
      0.0575,
      0.1914,
      0.0332,
      0.1937,
      0,
      0.2708,
      0.7142,
      0.3027,
      0.3135,
      0.2501,
      0.2342,
      0.3752,
      0.3631,
      0.4048,
      0.3515,
      0.412,
      0.4662,
      0.4129,
      0.4726,
      0.3657,
      0.3628,
      0.4245,
      0.5826,
      0.3237,
      0.3289,
      0.5766,
      0.4065,
      0.3753,
      0.1925,
      0.3327,
      0.2905,
      0.264,
      0.3385,
      0.3561,
      0.3443,
      0.3608,
      0.3685,
      0.2634,
      0.2069,
      0.2145,
      0.3053,
      0.4533,
      0.465,
      0.4054,
      0.5248,
      0.3685,
      0.5251,
      0.5895,
      0.4015,
      0.6267,
      0.4495,
      0.3913,
      0.4277,
      0.3915,
      0.3762,
      0.3974,
      0.2961,
      0.3595,
      0.3959,
      0.5693,
      0.5086,
      0.5015,
      0.507,
      0.5068,
      0.3184,
      0.3896,
      0.4487,
      0.2685,
      0.4277,
      0.3227,
      0.2897,
      0.4485,
      0.3468,
      0.6828,
      0.601,
      0.4586,
      0.5073,
      0.4587,
      0.3868,
      0.4402,
      0.4607,
      0.5085,
      0.2792,
      0.2497,
      0.1561,
      0.3677,
      0.3029,
      0.2342,
      0.1846,
      0.1394,
      0.1297,
      0.3141,
      0.3149,
      0.2755,
      0.1363,
      0.5149,
      0.5353,
      0.4061,
      0.3945,
      0.2678,
      0.3902,
      0.2068,
      0.318,
      0.2936,
      0.4012,
      0.1775,
      0.3009,
      0.2646,
      0.4744,
      0.5181,
      0.4266,
      0.3555,
      0.3334,
      0.3669,
      0.3989,
      0.4388,
      0.3871,
      0.2784,
      0.4079,
      0.5438,
      0.3585,
      0.4738,
      0.3325,
      0.3948,
      0.394,
      0.3329,
      0.5594,
      0.4229,
      0.3605,
      0.3489,
      0.405,
      0.4102,
      0.3239,
      0.3791,
      0.3066,
      0.2689,
      0.3844,
      0.2911,
      0.3565,
      0.3454,
      0.3818,
      0.4841,
      0.6097,
      0.6047,
      0.5653,
      0.5071,
      0.3836,
      0.2878,
      0.3316,
      0.4531,
      0.3113,
      0.6136,
      0.703,
      0.4387,
      0.4485,
      0.5693,
      0.4983,
      0.4423,
      0.4578,
      0.4979,
      0.3518,
      0.6317,
      0.3618,
      0.4951,
      0.3295,
      0.4126,
      0.5093,
      0.4004,
      0.4057,
      0.4559,
      0.4925,
      0.468,
      0.4485,
      0.4155,
      0.4877,
      0.495,
      0.3756,
      0.4827,
      0.2839,
      0.4388,
      0.3706,
      0.5041,
      0.4391,
      0.4405,
      0.4101,
      0.2967,
      0.4794,
      0.3773,
      0.5226,
      0.4429,
      0.4529,
      0.3594,
      0.2783,
      0.3359,
      0.526,
      0.4444,
      0.5192,
      0.3433,
      0.3068,
      0.1592,
      0.3159,
      0.4851,
      0.3445,
      0.3649,
      0.3322,
      0.2357,
      0.3819,
      0.4308,
      0.6061,
      0.3276,
      0.5529,
      0.4254,
      0.4716,
      0.6302,
      0.463,
      0.6862,
      0.6551,
      0.4091,
      0.5319,
      0.5822,
      0.4523,
      0.5385,
      0.396,
      0.4744,
      0.4223,
      0.4043,
      0.3989,
      0.3524,
      0.4511,
      0.3892,
      0.4528,
      0.422,
      0.5698,
      0.4954,
      0.4806,
      0.417,
      0.4022,
      0.4851,
      0.3302,
      0.4677,
      0.2892,
      0.4482,
      0.3358,
      0.4236,
      0.4637,
      0.4233,
      0.4676,
      0.3678,
      0.4791,
      0.5105,
      0.4875,
      0.462,
      0.4157,
      0.5991,
      0.4393,
      0.3196,
      0.4463,
      0.4811,
      0.5595,
      0.4218,
      0.3839,
      0.5488,
      0.3622,
      0.3298,
      0.4136,
      0.3744,
      0.3693,
      0.2432,
      0.2658,
      0.3741,
      0.2223,
      0.4915,
      0.3382,
      0.0871,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2772,
      0.2035,
      0.1492,
      0.3746,
      0.2681,
      0.2879,
      0.1359,
      0.2529,
      0.28,
      0.2245,
      0.2055,
      0.1355,
      0.2638,
      0.2536,
      0.4673,
      0.1934,
      0.347,
      0.3501,
      0.1655,
      0.2664,
      0.1617,
      0.3615,
      0,
      0.2668,
      0.6775,
      0.2462,
      0.318,
      0.2622,
      0.2002,
      0.3236,
      0.2865,
      0.3274,
      0.2778,
      0.3785,
      0.4668,
      0.3929,
      0.6843,
      0.4134,
      0.4868,
      0.3635,
      0.3514,
      0.3088,
      0.3505,
      0.5965,
      0.2979,
      0.426,
      0.1667,
      0.3299,
      0.2549,
      0.4388,
      0.3214,
      0.3818,
      0.4167,
      0.4095,
      0.3393,
      0.2188,
      0.1534,
      0.1255,
      0.2916,
      0.4006,
      0.4795,
      0.2892,
      0.3167,
      0.3626,
      0.5176,
      0.5848,
      0.349,
      0.4764,
      0.5168,
      0.3765,
      0.4072,
      0.2995,
      0.4,
      0.3817,
      0.4316,
      0.45,
      0.4508,
      0.601,
      0.4891,
      0.5935,
      0.5284,
      0.7965,
      0.3121,
      0.3315,
      0.397,
      0.4185,
      0.4366,
      0.4485,
      0.3301,
      0.4518,
      0.3371,
      0.6831,
      0.3757,
      0.5839,
      0.4986,
      0.3241,
      0.4183,
      0.4072,
      0.4016,
      0.3757,
      0.1856,
      0.2939,
      0.2106,
      0.4303,
      0.3416,
      0.264,
      0.2804,
      0.2344,
      0.2198,
      0.3167,
      0.2998,
      0.2415,
      0.1581,
      0.5148,
      0.4378,
      0.2925,
      0.5013,
      0.2998,
      0.4095,
      0.2297,
      0.2347,
      0.2866,
      0.3825,
      0.2997,
      0.3042,
      0.2149,
      0.3537,
      0.6485,
      0.3688,
      0.3679,
      0.3453,
      0.4162,
      0.419,
      0.5371,
      0.2583,
      0.2982,
      0.5601,
      0.5152,
      0.4314,
      0.3624,
      0.346,
      0.3958,
      0.4201,
      0.2937,
      0.4321,
      0.4577,
      0.3117,
      0.3511,
      0.3822,
      0.3379,
      0.2886,
      0.4604,
      0.3067,
      0.3259,
      0.4212,
      0.3223,
      0.2673,
      0.3479,
      0.4509,
      0.4272,
      0.5487,
      0.5386,
      0.4672,
      0.4309,
      0.4421,
      0.2565,
      0.2853,
      0.5154,
      0.311,
      0.5526,
      0.6843,
      0.3403,
      0.3514,
      0.5364,
      0.5694,
      0.4584,
      0.3861,
      0.4472,
      0.3213,
      0.6871,
      0.3027,
      0.7346,
      0.3844,
      0.4099,
      0.3152,
      0.2934,
      0.4369,
      0.3973,
      0.4693,
      0.453,
      0.469,
      0.4064,
      0.4369,
      0.4745,
      0.388,
      0.404,
      0.3204,
      0.5141,
      0.3775,
      0.4709,
      0.3939,
      0.516,
      0.3793,
      0.3749,
      0.6641,
      0.4217,
      0.5711,
      0.4382,
      0.414,
      0.3033,
      0.1326,
      0.3862,
      0.5575,
      0.3938,
      0.5312,
      0.2355,
      0.2273,
      0.1563,
      0.4239,
      0.4831,
      0.436,
      0.38,
      0.3275,
      0.2115,
      0.3901,
      0.4717,
      0.5932,
      0.3119,
      0.5272,
      0.2502,
      0.4635,
      0.6474,
      0.4167,
      0.7356,
      0.505,
      0.439,
      0.4911,
      0.5374,
      0.4832,
      0.5479,
      0.3568,
      0.4764,
      0.3151,
      0.4168,
      0.339,
      0.351,
      0.5781,
      0.3968,
      0.4359,
      0.412,
      0.5496,
      0.4739,
      0.407,
      0.4112,
      0.3466,
      0.5405,
      0.413,
      0.4275,
      0.3469,
      0.4531,
      0.4013,
      0.4728,
      0.5916,
      0.4106,
      0.5089,
      0.4253,
      0.4556,
      0.5104,
      0.4521,
      0.4962,
      0.4483,
      0.5956,
      0.5309,
      0.3765,
      0.421,
      0.4934,
      0.5312,
      0.5132,
      0.398,
      0.4966,
      0.2611,
      0.4048,
      0.3628,
      0.3024,
      0.4385,
      0.2551,
      0.2596,
      0.3643,
      0.2906,
      0.2699,
      0.2048,
      0.0662,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2765,
      0.1641,
      0.204,
      0.422,
      0.2519,
      0.1798,
      0.1818,
      0.2031,
      0.3033,
      0.3164,
      0.197,
      0.1394,
      0.3431,
      0.3176,
      0.4075,
      0.2015,
      0.1136,
      0.3583,
      0.3186,
      0.2445,
      0.212,
      0.3776,
      0,
      0.2672,
      0.4207,
      0.1617,
      0.3167,
      0.2178,
      0.2328,
      0.3611,
      0.3568,
      0.2919,
      0.3325,
      0.4152,
      0.5155,
      0.3869,
      0.6861,
      0.5899,
      0.623,
      0.352,
      0.296,
      0.4241,
      0.29,
      0.623,
      0.2015,
      0.3006,
      0.1538,
      0.3007,
      0.5035,
      0.493,
      0.2082,
      0.3527,
      0.5692,
      0.5881,
      0.2897,
      0.1933,
      0.0938,
      0.1204,
      0.3113,
      0.3535,
      0.4811,
      0.3344,
      0.2914,
      0.3257,
      0.5291,
      0.573,
      0.3584,
      0.3753,
      0.4548,
      0.3208,
      0.4872,
      0.2843,
      0.3066,
      0.3829,
      0.4559,
      0.4954,
      0.4961,
      0.6052,
      0.4561,
      0.6708,
      0.5531,
      0.6019,
      0.3127,
      0.4889,
      0.4774,
      0.5307,
      0.4863,
      0.5232,
      0.2901,
      0.4464,
      0.3449,
      0.6631,
      0.4479,
      0.5545,
      0.5241,
      0.3374,
      0.3857,
      0.407,
      0.3632,
      0.3922,
      0.2722,
      0.2417,
      0.2149,
      0.3384,
      0.3271,
      0.201,
      0.1841,
      0.1521,
      0.1983,
      0.3244,
      0.2189,
      0.2244,
      0.1172,
      0.4617,
      0.5503,
      0.3312,
      0.5008,
      0.2922,
      0.3683,
      0.2291,
      0.2616,
      0.3769,
      0.2835,
      0.1218,
      0.2132,
      0.1742,
      0.7159,
      0.6716,
      0.3713,
      0.3336,
      0.2516,
      0.387,
      0.3557,
      0.3861,
      0.3417,
      0.2592,
      0.3629,
      0.5429,
      0.4129,
      0.4232,
      0.3736,
      0.686,
      0.4302,
      0.37,
      0.3801,
      0.4096,
      0.286,
      0.3431,
      0.3624,
      0.3168,
      0.3392,
      0.3325,
      0.1092,
      0.3699,
      0.39,
      0.3497,
      0.3023,
      0.3371,
      0.451,
      0.4864,
      0.6039,
      0.5595,
      0.384,
      0.4473,
      0.5359,
      0.2952,
      0.3551,
      0.4511,
      0.2882,
      0.4615,
      0.7034,
      0.3042,
      0.3602,
      0.5318,
      0.5248,
      0.5328,
      0.4281,
      0.4624,
      0.2552,
      0.6828,
      0.3167,
      0.7547,
      0.4519,
      0.4344,
      0.2625,
      0.38,
      0.5374,
      0.5093,
      0.5201,
      0.4011,
      0.3638,
      0.4283,
      0.4971,
      0.5554,
      0.4659,
      0.4226,
      0.3269,
      0.3758,
      0.1859,
      0.4268,
      0.3453,
      0.3779,
      0.3317,
      0.5479,
      0.787,
      0.4143,
      0.5413,
      0.4738,
      0.407,
      0.3254,
      0.3112,
      0.4419,
      0.5935,
      0.3961,
      0.5326,
      0.1903,
      0.1272,
      0.1723,
      0.504,
      0.5017,
      0.333,
      0.2254,
      0.2559,
      0.2814,
      0.3896,
      0.4044,
      0.5931,
      0.3459,
      0.3848,
      0.2736,
      0.3921,
      0.664,
      0.3835,
      0.6706,
      0.47,
      0.5399,
      0.4574,
      0.5447,
      0.4277,
      0.5612,
      0.4851,
      0.3907,
      0.487,
      0.385,
      0.4556,
      0.4073,
      0.5742,
      0.3844,
      0.6049,
      0.3503,
      0.4945,
      0.5149,
      0.358,
      0.4558,
      0.3482,
      0.5965,
      0.54,
      0.4384,
      0.3691,
      0.5104,
      0.5558,
      0.4407,
      0.5397,
      0.4207,
      0.5449,
      0.3239,
      0.4587,
      0.3791,
      0.4482,
      0.3553,
      0.4027,
      0.5606,
      0.6063,
      0.328,
      0.4184,
      0.4463,
      0.4818,
      0.5026,
      0.3779,
      0.5089,
      0.3363,
      0.4728,
      0.3633,
      0.2837,
      0.3309,
      0.2711,
      0.24,
      0.3692,
      0.2203,
      0.3168,
      0.1617,
      0.087,
      0.0378,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2242,
      0.2084,
      0.1431,
      0.4356,
      0.2269,
      0.2191,
      0.1606,
      0.1732,
      0.2222,
      0.4145,
      0.2156,
      0.1581,
      0.4639,
      0.3351,
      0.3561,
      0.1918,
      0.1248,
      0.2131,
      0.2891,
      0.2841,
      0.1695,
      0.2223,
      0,
      0.25,
      0.3394,
      0.1703,
      0.2901,
      0.2652,
      0.1787,
      0.3669,
      0.3028,
      0.246,
      0.3764,
      0.3532,
      0.4673,
      0.522,
      0.4096,
      0.6216,
      0.4443,
      0.1816,
      0.3031,
      0.3903,
      0.2863,
      0.606,
      0.2412,
      0.4184,
      0.2271,
      0.3689,
      0.4208,
      0.2545,
      0.1872,
      0.3107,
      0.3523,
      0.4005,
      0.2796,
      0.2318,
      0.0806,
      0.1576,
      0.3219,
      0.3008,
      0.4933,
      0.3506,
      0.3157,
      0.4781,
      0.5769,
      0.4945,
      0.5578,
      0.3269,
      0.4614,
      0.41,
      0.4896,
      0.3237,
      0.3188,
      0.402,
      0.1791,
      0.4672,
      0.4413,
      0.5863,
      0.4106,
      0.6294,
      0.5305,
      0.4351,
      0.3356,
      0.5754,
      0.4451,
      0.3721,
      0.4611,
      0.2373,
      0.2872,
      0.4743,
      0.3259,
      0.6043,
      0.473,
      0.4698,
      0.3709,
      0.3769,
      0.3309,
      0.4198,
      0.3999,
      0.3858,
      0.2778,
      0.3257,
      0.1878,
      0.3566,
      0.2775,
      0.2751,
      0.1921,
      0.1717,
      0.2056,
      0.3648,
      0.3983,
      0.2684,
      0.1941,
      0.4204,
      0.5704,
      0.3701,
      0.4751,
      0.3302,
      0.2819,
      0.2166,
      0.3495,
      0.3285,
      0.3537,
      0.1235,
      0.2178,
      0.2147,
      0.6789,
      0.514,
      0.3481,
      0.3362,
      0.341,
      0.3331,
      0.3537,
      0.3833,
      0.3847,
      0.1269,
      0.3167,
      0.5445,
      0.3349,
      0.4278,
      0.3416,
      0.7838,
      0.4698,
      0.3221,
      0.2652,
      0.5371,
      0.3364,
      0.3654,
      0.3797,
      0.2926,
      0.2284,
      0.3736,
      0.3067,
      0.269,
      0.2578,
      0.2978,
      0.2903,
      0.341,
      0.4131,
      0.4028,
      0.5668,
      0.5183,
      0.5077,
      0.5807,
      0.5754,
      0.2218,
      0.371,
      0.3896,
      0.2877,
      0.396,
      0.6696,
      0.2709,
      0.3545,
      0.5646,
      0.4956,
      0.3623,
      0.4049,
      0.5268,
      0.3206,
      0.5866,
      0.3362,
      0.4694,
      0.4118,
      0.3921,
      0.2491,
      0.5675,
      0.5416,
      0.5195,
      0.4872,
      0.6257,
      0.4892,
      0.3491,
      0.5411,
      0.5629,
      0.384,
      0.3701,
      0.4011,
      0.4073,
      0.2951,
      0.4166,
      0.304,
      0.4958,
      0.4125,
      0.4229,
      0.6317,
      0.4179,
      0.6037,
      0.4189,
      0.2678,
      0.3465,
      0.3139,
      0.3856,
      0.5509,
      0.4057,
      0.5316,
      0.1991,
      0.2242,
      0.282,
      0.3896,
      0.3654,
      0.3033,
      0.2584,
      0.2438,
      0.2582,
      0.3639,
      0.3492,
      0.6039,
      0.3863,
      0.4832,
      0.4089,
      0.3538,
      0.4159,
      0.3304,
      0.5458,
      0.3703,
      0.3631,
      0.4579,
      0.5815,
      0.4714,
      0.5345,
      0.5986,
      0.4753,
      0.7165,
      0.5105,
      0.7023,
      0.4656,
      0.5224,
      0.2987,
      0.5955,
      0.4204,
      0.574,
      0.4405,
      0.4058,
      0.524,
      0.4392,
      0.5025,
      0.4048,
      0.5038,
      0.3436,
      0.4076,
      0.5486,
      0.4332,
      0.4897,
      0.3587,
      0.4913,
      0.3669,
      0.5043,
      0.5736,
      0.5567,
      0.4245,
      0.4231,
      0.5084,
      0.4938,
      0.3587,
      0.4122,
      0.4666,
      0.4738,
      0.4669,
      0.3666,
      0.4686,
      0.3674,
      0.404,
      0.3888,
      0.3016,
      0.3045,
      0.2417,
      0.2191,
      0.2906,
      0.1743,
      0.3028,
      0.1471,
      0,
      0.0311,
      0.0249,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2054,
      0.2286,
      0.2375,
      0.3988,
      0.2445,
      0.1866,
      0.1378,
      0.238,
      0.3155,
      0.4012,
      0.2601,
      0.1329,
      0.2444,
      0.3823,
      0.3977,
      0.1548,
      0.1088,
      0.1401,
      0.1141,
      0.24,
      0.1088,
      0.1504,
      0,
      0.19,
      0.3788,
      0.1775,
      0.3637,
      0.2778,
      0.2415,
      0.417,
      0.3901,
      0.3448,
      0.3171,
      0.3612,
      0.4521,
      0.643,
      0.335,
      0.4118,
      0.4205,
      0.2793,
      0.3426,
      0.2546,
      0.309,
      0.5528,
      0.2828,
      0.3339,
      0.2155,
      0.3617,
      0.2898,
      0.2451,
      0.2445,
      0.347,
      0.3418,
      0.3131,
      0.2928,
      0.2787,
      0.1307,
      0.125,
      0.3441,
      0.469,
      0.4861,
      0.3547,
      0.439,
      0.4917,
      0.5758,
      0.4981,
      0.3709,
      0.4171,
      0.5046,
      0.523,
      0.4886,
      0.2719,
      0.3135,
      0.3029,
      0.2317,
      0.4792,
      0.3804,
      0.5771,
      0.413,
      0.494,
      0.5115,
      0.4889,
      0.3307,
      0.3123,
      0.3761,
      0.3886,
      0.3118,
      0.26,
      0.3929,
      0.449,
      0.4077,
      0.5359,
      0.4921,
      0.4267,
      0.4053,
      0.3527,
      0.3822,
      0.3235,
      0.4154,
      0.4031,
      0.2715,
      0.2848,
      0.1917,
      0.4064,
      0.2944,
      0.2345,
      0.2203,
      0.1701,
      0.2106,
      0.4105,
      0.3905,
      0.2643,
      0.1277,
      0.4026,
      0.5087,
      0.3681,
      0.4756,
      0.2841,
      0.315,
      0.2138,
      0.3715,
      0.3688,
      0.279,
      0.2322,
      0.3129,
      0.296,
      0.4152,
      0.5473,
      0.4307,
      0.3631,
      0.3187,
      0.3132,
      0.3616,
      0.3486,
      0.3345,
      0.2042,
      0.3125,
      0.5576,
      0.3626,
      0.4963,
      0.2708,
      0.5631,
      0.4866,
      0.2984,
      0.3302,
      0.5017,
      0.3862,
      0.3267,
      0.366,
      0.3371,
      0.2355,
      0.4125,
      0.3121,
      0.2147,
      0.2745,
      0.3263,
      0.3546,
      0.2804,
      0.4217,
      0.3263,
      0.5457,
      0.536,
      0.47,
      0.661,
      0.368,
      0.2345,
      0.3851,
      0.3684,
      0.3399,
      0.5684,
      0.5561,
      0.3338,
      0.3457,
      0.5761,
      0.4601,
      0.3918,
      0.4037,
      0.5135,
      0.2218,
      0.3567,
      0.3684,
      0.371,
      0.4483,
      0.3595,
      0.3596,
      0.6861,
      0.539,
      0.5523,
      0.476,
      0.6924,
      0.5456,
      0.3883,
      0.5105,
      0.3419,
      0.4646,
      0.3862,
      0.3296,
      0.3372,
      0.2313,
      0.392,
      0.4441,
      0.4186,
      0.6273,
      0.3915,
      0.4985,
      0.4498,
      0.5003,
      0.4612,
      0.2674,
      0.3316,
      0.3052,
      0.3375,
      0.5286,
      0.3822,
      0.3936,
      0.2123,
      0.2268,
      0.194,
      0.2675,
      0.3677,
      0.4004,
      0.2374,
      0.2946,
      0.1867,
      0.3445,
      0.3917,
      0.6261,
      0.2872,
      0.4829,
      0.5324,
      0.3231,
      0.3414,
      0.3746,
      0.5002,
      0.3458,
      0.3551,
      0.4802,
      0.5611,
      0.4546,
      0.5893,
      0.5382,
      0.5016,
      0.7041,
      0.5551,
      0.5801,
      0.644,
      0.47,
      0.3069,
      0.5453,
      0.4466,
      0.5002,
      0.4447,
      0.3783,
      0.4842,
      0.4005,
      0.3253,
      0.4075,
      0.4595,
      0.2809,
      0.5279,
      0.4769,
      0.4312,
      0.4682,
      0.398,
      0.4026,
      0.3314,
      0.5564,
      0.4812,
      0.5491,
      0.416,
      0.4712,
      0.4778,
      0.3406,
      0.3563,
      0.3821,
      0.4611,
      0.4862,
      0.4799,
      0.393,
      0.4692,
      0.3663,
      0.3664,
      0.3623,
      0.2814,
      0.395,
      0.2721,
      0.3104,
      0.3541,
      0.2659,
      0.2449,
      0.1082,
      0.0643,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2206,
      0.4958,
      0.2798,
      0.4113,
      0.1519,
      0.1805,
      0.1438,
      0.3096,
      0.3434,
      0.3547,
      0.1582,
      0.1227,
      0.1667,
      0.4342,
      0.5613,
      0.1808,
      0.0852,
      0.1595,
      0.1561,
      0.2278,
      0.1086,
      0.1284,
      0,
      0.1539,
      0.2821,
      0.1248,
      0.4493,
      0.2483,
      0.1988,
      0.358,
      0.4463,
      0.2861,
      0.3666,
      0.3462,
      0.5337,
      0.4931,
      0.3547,
      0.4166,
      0.3326,
      0.3098,
      0.3577,
      0.2538,
      0.2509,
      0.583,
      0.262,
      0.3944,
      0.2359,
      0.3583,
      0.2718,
      0.3198,
      0.2955,
      0.3467,
      0.4077,
      0.2887,
      0.2858,
      0.3358,
      0.2049,
      0.1179,
      0.3243,
      0.6389,
      0.4495,
      0.4142,
      0.5338,
      0.4994,
      0.6373,
      0.5892,
      0.3907,
      0.4699,
      0.4592,
      0.529,
      0.4284,
      0.3277,
      0.2195,
      0.3573,
      0.1615,
      0.3765,
      0.3814,
      0.5774,
      0.4019,
      0.3905,
      0.4917,
      0.5191,
      0.3667,
      0.3576,
      0.3895,
      0.259,
      0.2737,
      0.3187,
      0.2813,
      0.5026,
      0.5942,
      0.5027,
      0.5215,
      0.3849,
      0.4061,
      0.3903,
      0.3804,
      0.3108,
      0.4119,
      0.3215,
      0.2616,
      0.2577,
      0.1783,
      0.4619,
      0.3528,
      0.3141,
      0.2292,
      0.2602,
      0.5048,
      0.3096,
      0.277,
      0.2081,
      0.1237,
      0.4035,
      0.5586,
      0.3988,
      0.4834,
      0.3557,
      0.3471,
      0.2565,
      0.3905,
      0.3882,
      0.3918,
      0.2202,
      0.2895,
      0.3289,
      0.4594,
      0.5205,
      0.4287,
      0.3977,
      0.3563,
      0.299,
      0.3404,
      0.3393,
      0.2588,
      0.2858,
      0.3934,
      0.534,
      0.3795,
      0.4763,
      0.3473,
      0.3763,
      0.4705,
      0.4923,
      0.3396,
      0.517,
      0.4556,
      0.3746,
      0.2925,
      0.3594,
      0.358,
      0.2832,
      0.2783,
      0.2098,
      0.2793,
      0.3568,
      0.3266,
      0.3251,
      0.4642,
      0.3305,
      0.6075,
      0.7026,
      0.5167,
      0.6399,
      0.3564,
      0.2458,
      0.3439,
      0.3853,
      0.4105,
      0.5541,
      0.3953,
      0.3061,
      0.369,
      0.6203,
      0.5427,
      0.3479,
      0.3851,
      0.5121,
      0.2497,
      0.2991,
      0.3237,
      0.3351,
      0.439,
      0.3998,
      0.345,
      0.4974,
      0.5344,
      0.5599,
      0.453,
      0.6158,
      0.6737,
      0.4736,
      0.4147,
      0.4202,
      0.4055,
      0.4076,
      0.3856,
      0.2862,
      0.2047,
      0.4885,
      0.4887,
      0.4323,
      0.6187,
      0.3514,
      0.4611,
      0.4497,
      0.4789,
      0.4701,
      0.2746,
      0.3568,
      0.2468,
      0.3733,
      0.5309,
      0.4684,
      0.2497,
      0.3193,
      0.2137,
      0.147,
      0.2718,
      0.2833,
      0.4005,
      0.2956,
      0.5031,
      0.386,
      0.3891,
      0.3796,
      0.6342,
      0.3201,
      0.6102,
      0.3775,
      0.3964,
      0.4326,
      0.424,
      0.5511,
      0.4405,
      0.3429,
      0.4867,
      0.5661,
      0.4537,
      0.5791,
      0.518,
      0.5318,
      0.4549,
      0.5455,
      0.3715,
      0.6386,
      0.3684,
      0.3732,
      0.4578,
      0.4885,
      0.5873,
      0.4516,
      0.4487,
      0.4315,
      0.3297,
      0.3671,
      0.4763,
      0.4227,
      0.4251,
      0.5072,
      0.4355,
      0.4483,
      0.4917,
      0.442,
      0.4962,
      0.3379,
      0.5409,
      0.498,
      0.5235,
      0.3753,
      0.4202,
      0.5992,
      0.3993,
      0.3851,
      0.4989,
      0.4677,
      0.4985,
      0.4495,
      0.3699,
      0.4323,
      0.3625,
      0.3968,
      0.3411,
      0.2818,
      0.4017,
      0.2623,
      0.29,
      0.3734,
      0.1675,
      0.329,
      0.1023,
      0.0862,
      0,
      0.0307,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3335,
      0.3002,
      0.3375,
      0.422,
      0.1525,
      0.2338,
      0.1839,
      0.1521,
      0.3889,
      0.3257,
      0.118,
      0.241,
      0.2697,
      0.3007,
      0.6202,
      0.2492,
      0.2553,
      0.3397,
      0.1161,
      0.2514,
      0.0355,
      0.124,
      0,
      0.0504,
      0.3731,
      0.1768,
      0.3936,
      0.158,
      0.2014,
      0.3813,
      0.3895,
      0.3613,
      0.3822,
      0.4012,
      0.4779,
      0.528,
      0.3559,
      0.5425,
      0.417,
      0.4713,
      0.4704,
      0.2731,
      0.2057,
      0.5983,
      0.3722,
      0.3621,
      0.256,
      0.3055,
      0.2846,
      0.2564,
      0.2184,
      0.2987,
      0.3376,
      0.3721,
      0.3202,
      0.3849,
      0.1543,
      0.1636,
      0.3192,
      0.592,
      0.4491,
      0.4119,
      0.6166,
      0.3618,
      0.6012,
      0.6042,
      0.3804,
      0.5622,
      0.5759,
      0.4586,
      0.447,
      0.3303,
      0.2886,
      0.3383,
      0.2156,
      0.5143,
      0.4983,
      0.5866,
      0.4633,
      0.5217,
      0.521,
      0.5292,
      0.3434,
      0.2755,
      0.5613,
      0.2773,
      0.4013,
      0.5216,
      0.2049,
      0.5307,
      0.5122,
      0.5424,
      0.4287,
      0.4329,
      0.5885,
      0.3427,
      0.3849,
      0.3658,
      0.4249,
      0.3818,
      0.2982,
      0.3789,
      0.1292,
      0.4215,
      0.394,
      0.3073,
      0.2615,
      0.1681,
      0.4755,
      0.3625,
      0.2224,
      0.2983,
      0.1805,
      0.3987,
      0.5919,
      0.3523,
      0.5468,
      0.3254,
      0.3073,
      0.2662,
      0.3818,
      0.4122,
      0.3821,
      0.2544,
      0.3131,
      0.3528,
      0.4607,
      0.5859,
      0.4441,
      0.4051,
      0.3654,
      0.2786,
      0.3463,
      0.3571,
      0.3122,
      0.234,
      0.4545,
      0.5889,
      0.4092,
      0.4355,
      0.4159,
      0.3615,
      0.6089,
      0.5639,
      0.3813,
      0.4358,
      0.5361,
      0.3994,
      0.3171,
      0.3743,
      0.3562,
      0.3753,
      0.1911,
      0.2401,
      0.2312,
      0.3713,
      0.3706,
      0.3209,
      0.4681,
      0.525,
      0.6224,
      0.6115,
      0.7506,
      0.5615,
      0.3178,
      0.2067,
      0.3191,
      0.3604,
      0.554,
      0.5594,
      0.3208,
      0.4435,
      0.407,
      0.6036,
      0.5304,
      0.4359,
      0.4345,
      0.4639,
      0.3771,
      0.3257,
      0.3092,
      0.389,
      0.4544,
      0.2952,
      0.4372,
      0.2797,
      0.5212,
      0.5228,
      0.5101,
      0.3695,
      0.6044,
      0.6366,
      0.4101,
      0.2538,
      0.4946,
      0.2813,
      0.3627,
      0.397,
      0.2913,
      0.5311,
      0.5186,
      0.4879,
      0.5656,
      0.3054,
      0.5366,
      0.444,
      0.4855,
      0.4849,
      0.1767,
      0.4272,
      0.3205,
      0.3701,
      0.5583,
      0.4075,
      0.2802,
      0.1933,
      0.1229,
      0.1747,
      0.2582,
      0.5132,
      0.5117,
      0.3382,
      0.4924,
      0.3249,
      0.3534,
      0.4572,
      0.6094,
      0.3022,
      0.6715,
      0.343,
      0.4131,
      0.5939,
      0.4421,
      0.6007,
      0.4972,
      0.4266,
      0.5399,
      0.5608,
      0.4595,
      0.5345,
      0.5607,
      0.4358,
      0.374,
      0.5796,
      0.5395,
      0.4755,
      0.4985,
      0.3873,
      0.5241,
      0.487,
      0.6341,
      0.4701,
      0.4327,
      0.399,
      0.3662,
      0.4712,
      0.514,
      0.4138,
      0.4233,
      0.385,
      0.4852,
      0.4392,
      0.5541,
      0.4983,
      0.4554,
      0.4051,
      0.5268,
      0.459,
      0.4692,
      0.4348,
      0.4601,
      0.4802,
      0.3921,
      0.3336,
      0.4583,
      0.5088,
      0.4853,
      0.491,
      0.4379,
      0.3887,
      0.3381,
      0.3449,
      0.3035,
      0.3901,
      0.3637,
      0.3132,
      0.3678,
      0.3688,
      0.2618,
      0.3526,
      0.0818,
      0.1108,
      0.0046,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.4174,
      0.2345,
      0.16,
      0.5099,
      0.1374,
      0.3039,
      0.1649,
      0.2027,
      0.2784,
      0.3049,
      0.1252,
      0.2538,
      0.2425,
      0.3349,
      0.4801,
      0.2743,
      0.3813,
      0.3639,
      0.0749,
      0.1438,
      0,
      0.1681,
      0,
      0.1103,
      0.4467,
      0.2215,
      0.2951,
      0.1466,
      0.2007,
      0.4376,
      0.3951,
      0.2747,
      0.2835,
      0.2972,
      0.4439,
      0.3923,
      0.3358,
      0.384,
      0.425,
      0.4057,
      0.5955,
      0.246,
      0.3007,
      0.5785,
      0.2996,
      0.4266,
      0.1821,
      0.3505,
      0.2518,
      0.3011,
      0.2684,
      0.3143,
      0.3569,
      0.4703,
      0.3089,
      0.3936,
      0.171,
      0.1867,
      0.2874,
      0.2492,
      0.3976,
      0.2633,
      0.5796,
      0.3707,
      0.5891,
      0.5207,
      0.3798,
      0.569,
      0.5618,
      0.3974,
      0.467,
      0.3653,
      0.3242,
      0.3114,
      0.2195,
      0.321,
      0.4662,
      0.5691,
      0.4187,
      0.5153,
      0.5398,
      0.3751,
      0.3808,
      0.3879,
      0.4359,
      0.3622,
      0.4577,
      0.3495,
      0.2721,
      0.5074,
      0.3434,
      0.5489,
      0.3927,
      0.3966,
      0.4831,
      0.3076,
      0.3698,
      0.4259,
      0.4234,
      0.4178,
      0.3315,
      0.3219,
      0.1855,
      0.3791,
      0.3545,
      0.2805,
      0.2536,
      0.2457,
      0.2962,
      0.2847,
      0.3389,
      0.2969,
      0.1534,
      0.4152,
      0.5368,
      0.3692,
      0.4765,
      0.3512,
      0.3572,
      0.2359,
      0.4431,
      0.3775,
      0.3097,
      0.279,
      0.357,
      0.3537,
      0.394,
      0.4699,
      0.4716,
      0.3729,
      0.3465,
      0.3533,
      0.2688,
      0.3684,
      0.3252,
      0.2356,
      0.5785,
      0.6381,
      0.3267,
      0.4616,
      0.4244,
      0.2769,
      0.6159,
      0.5628,
      0.2673,
      0.4537,
      0.672,
      0.4366,
      0.4099,
      0.3535,
      0.3331,
      0.4128,
      0.2368,
      0.3034,
      0.2157,
      0.3524,
      0.3872,
      0.2681,
      0.4646,
      0.5144,
      0.4762,
      0.5885,
      0.6421,
      0.3342,
      0.4229,
      0.1921,
      0.3017,
      0.3925,
      0.609,
      0.5571,
      0.495,
      0.3856,
      0.3635,
      0.6253,
      0.4665,
      0.396,
      0.5073,
      0.464,
      0.2814,
      0.345,
      0.3091,
      0.3178,
      0.3169,
      0.3759,
      0.3872,
      0.3494,
      0.4612,
      0.5928,
      0.5048,
      0.3809,
      0.4553,
      0.5528,
      0.401,
      0.2871,
      0.3375,
      0.3339,
      0.2868,
      0.4447,
      0.3788,
      0.5324,
      0.3444,
      0.3728,
      0.3439,
      0.3517,
      0.3997,
      0.4059,
      0.4787,
      0.4466,
      0.3864,
      0.3193,
      0.2539,
      0.3204,
      0.5939,
      0.3016,
      0.3815,
      0.2529,
      0.2102,
      0.1689,
      0.2096,
      0.3691,
      0.455,
      0.3768,
      0.3949,
      0.2634,
      0.3624,
      0.428,
      0.5743,
      0.2374,
      0.6707,
      0.3075,
      0.4353,
      0.6217,
      0.3922,
      0.6191,
      0.462,
      0.2904,
      0.4355,
      0.6041,
      0.5546,
      0.5066,
      0.6033,
      0.3776,
      0.3499,
      0.5475,
      0.3585,
      0.3148,
      0.448,
      0.3441,
      0.3281,
      0.3549,
      0.6297,
      0.4274,
      0.4137,
      0.5189,
      0.4234,
      0.2802,
      0.3527,
      0.38,
      0.3139,
      0.4748,
      0.3877,
      0.4664,
      0.5851,
      0.4263,
      0.4789,
      0.4419,
      0.4921,
      0.523,
      0.4089,
      0.4558,
      0.434,
      0.4682,
      0.4755,
      0.3234,
      0.3276,
      0.4453,
      0.5769,
      0.435,
      0.4023,
      0.4728,
      0.3009,
      0.3787,
      0.3157,
      0.3346,
      0.4097,
      0.2149,
      0.3815,
      0.4133,
      0.2164,
      0.2998,
      0.1141,
      0.0614,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3815,
      0.2162,
      0.1647,
      0.4476,
      0.1246,
      0.3061,
      0.1912,
      0.2183,
      0.2225,
      0.2831,
      0.1417,
      0.2041,
      0.2596,
      0.2827,
      0.4434,
      0.2487,
      0.1589,
      0.2303,
      0.1326,
      0.2532,
      0,
      0.0412,
      0,
      0.1966,
      0.554,
      0.236,
      0.3354,
      0.2236,
      0.205,
      0.3489,
      0.4036,
      0.3722,
      0.3949,
      0.3444,
      0.3613,
      0.4134,
      0.3507,
      0.3695,
      0.3731,
      0.3299,
      0.3928,
      0.1203,
      0.3431,
      0.5404,
      0.2527,
      0.4544,
      0.1508,
      0.3007,
      0.239,
      0.3728,
      0.3675,
      0.3329,
      0.3349,
      0.3112,
      0.3721,
      0.3083,
      0.1924,
      0.1601,
      0.2927,
      0.3592,
      0.3667,
      0.2708,
      0.4475,
      0.3609,
      0.6351,
      0.5045,
      0.3875,
      0.5761,
      0.4041,
      0.3008,
      0.4594,
      0.371,
      0.3237,
      0.3285,
      0.1774,
      0.3742,
      0.4798,
      0.5921,
      0.4111,
      0.5893,
      0.4992,
      0.379,
      0.2605,
      0.3982,
      0.301,
      0.4386,
      0.5413,
      0.3638,
      0.2838,
      0.478,
      0.2902,
      0.559,
      0.4808,
      0.4211,
      0.5211,
      0.337,
      0.3446,
      0.4118,
      0.3543,
      0.3544,
      0.325,
      0.4402,
      0.189,
      0.4905,
      0.3569,
      0.1984,
      0.2054,
      0.1763,
      0.2733,
      0.3709,
      0.3065,
      0.6437,
      0.1709,
      0.4559,
      0.5078,
      0.4055,
      0.4593,
      0.4031,
      0.3248,
      0.1925,
      0.3492,
      0.374,
      0.3154,
      0.2359,
      0.42,
      0.4334,
      0.4807,
      0.4339,
      0.3812,
      0.4745,
      0.3796,
      0.3361,
      0.3573,
      0.4068,
      0.3374,
      0.2411,
      0.3664,
      0.6132,
      0.3735,
      0.4002,
      0.4931,
      0.3252,
      0.5254,
      0.5037,
      0.2932,
      0.3848,
      0.6151,
      0.514,
      0.3577,
      0.2952,
      0.3283,
      0.4053,
      0.2351,
      0.2664,
      0.2597,
      0.391,
      0.3731,
      0.3275,
      0.4404,
      0.4428,
      0.5093,
      0.6113,
      0.5132,
      0.4143,
      0.3599,
      0.2043,
      0.3913,
      0.4951,
      0.6199,
      0.4593,
      0.6412,
      0.4388,
      0.3551,
      0.4796,
      0.5502,
      0.4235,
      0.5776,
      0.3933,
      0.3295,
      0.5095,
      0.3473,
      0.3524,
      0.4273,
      0.3482,
      0.3431,
      0.3432,
      0.5045,
      0.5863,
      0.5108,
      0.414,
      0.3753,
      0.3805,
      0.4374,
      0.1985,
      0.3876,
      0.3209,
      0.3301,
      0.4389,
      0.2582,
      0.3928,
      0.3341,
      0.3856,
      0.3585,
      0.4434,
      0.4385,
      0.3706,
      0.4966,
      0.3923,
      0.2737,
      0.3538,
      0.2484,
      0.3393,
      0.5472,
      0.3631,
      0.4431,
      0.2076,
      0.1041,
      0.2036,
      0.2872,
      0.457,
      0.4845,
      0.3492,
      0.3,
      0.328,
      0.3711,
      0.417,
      0.5656,
      0.1861,
      0.6528,
      0.3599,
      0.4937,
      0.6147,
      0.4791,
      0.6602,
      0.5906,
      0.4365,
      0.4951,
      0.6127,
      0.4912,
      0.5383,
      0.5625,
      0.394,
      0.3141,
      0.4822,
      0.3192,
      0.3036,
      0.4743,
      0.3302,
      0.2813,
      0.3171,
      0.4716,
      0.4411,
      0.3658,
      0.4206,
      0.4018,
      0.3704,
      0.3798,
      0.453,
      0.347,
      0.4692,
      0.4187,
      0.4669,
      0.6047,
      0.4474,
      0.4355,
      0.4875,
      0.4953,
      0.4865,
      0.4994,
      0.3462,
      0.3598,
      0.5342,
      0.4103,
      0.2929,
      0.4786,
      0.4613,
      0.5632,
      0.4083,
      0.4585,
      0.5051,
      0.3029,
      0.3763,
      0.3167,
      0.2979,
      0.2917,
      0.2635,
      0.3825,
      0.3989,
      0.2183,
      0.2603,
      0.273,
      0.0526,
      0.0006,
      0.0931,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1778,
      0.1974,
      0.1766,
      0.422,
      0.125,
      0.2651,
      0.2395,
      0.2207,
      0.1342,
      0.2293,
      0.1526,
      0.1532,
      0.4412,
      0.3241,
      0.383,
      0.121,
      0.0996,
      0.1774,
      0.19,
      0.2732,
      0.105,
      0,
      0,
      0.2177,
      0.4046,
      0.2473,
      0.352,
      0.2188,
      0.2121,
      0.3415,
      0.404,
      0.2692,
      0.3052,
      0.3685,
      0.4406,
      0.4419,
      0.3253,
      0.3905,
      0.3473,
      0.2642,
      0.246,
      0.2704,
      0.4065,
      0.5449,
      0.2731,
      0.4684,
      0.1368,
      0.3033,
      0.2369,
      0.3841,
      0.3401,
      0.3308,
      0.3453,
      0.3412,
      0.2963,
      0.3081,
      0.172,
      0.1997,
      0.2559,
      0.3436,
      0.3894,
      0.234,
      0.2997,
      0.3698,
      0.6064,
      0.5562,
      0.3487,
      0.4232,
      0.4102,
      0.3472,
      0.4016,
      0.3221,
      0.2994,
      0.3164,
      0.2122,
      0.3264,
      0.4528,
      0.575,
      0.5099,
      0.5601,
      0.4776,
      0.552,
      0.2963,
      0.5443,
      0.4023,
      0.373,
      0.5203,
      0.3817,
      0.3216,
      0.4912,
      0.3037,
      0.535,
      0.4208,
      0.4591,
      0.4659,
      0.3083,
      0.3509,
      0.3753,
      0.3193,
      0.3672,
      0.5554,
      0.7126,
      0.2363,
      0.5234,
      0.6453,
      0.3141,
      0.2629,
      0.152,
      0.2873,
      0.352,
      0.3228,
      0.371,
      0.1839,
      0.4721,
      0.4913,
      0.3913,
      0.4897,
      0.3334,
      0.3655,
      0.1648,
      0.25,
      0.4022,
      0.3368,
      0.1944,
      0.5378,
      0.4133,
      0.4079,
      0.4589,
      0.6838,
      0.6781,
      0.3078,
      0.599,
      0.3164,
      0.4502,
      0.3396,
      0.193,
      0.3064,
      0.5392,
      0.4408,
      0.3624,
      0.4904,
      0.3045,
      0.4901,
      0.4841,
      0.3262,
      0.39,
      0.2484,
      0.5525,
      0.3494,
      0.4016,
      0.3493,
      0.3611,
      0.2133,
      0.2546,
      0.2859,
      0.3338,
      0.2967,
      0.1999,
      0.4155,
      0.4589,
      0.6034,
      0.5972,
      0.4119,
      0.4128,
      0.3494,
      0.1427,
      0.4046,
      0.5565,
      0.3649,
      0.4134,
      0.657,
      0.4078,
      0.386,
      0.4539,
      0.5892,
      0.3449,
      0.5838,
      0.4788,
      0.3062,
      0.5385,
      0.3312,
      0.3651,
      0.5352,
      0.4124,
      0.3578,
      0.3953,
      0.5251,
      0.564,
      0.5181,
      0.367,
      0.3828,
      0.3805,
      0.4405,
      0.2795,
      0.4039,
      0.2921,
      0.3014,
      0.508,
      0.2033,
      0.3591,
      0.3006,
      0.4095,
      0.2949,
      0.3488,
      0.4893,
      0.4669,
      0.5125,
      0.4952,
      0.272,
      0.2222,
      0.2188,
      0.3442,
      0.5494,
      0.4202,
      0.4095,
      0.2183,
      0.0862,
      0.2708,
      0.325,
      0.441,
      0.4184,
      0.2976,
      0.3054,
      0.4613,
      0.3914,
      0.4195,
      0.5167,
      0.3176,
      0.617,
      0.3926,
      0.3595,
      0.4474,
      0.4085,
      0.7209,
      0.5458,
      0.3722,
      0.5407,
      0.5325,
      0.2858,
      0.4807,
      0.4736,
      0.4364,
      0.2802,
      0.4497,
      0.2796,
      0.3056,
      0.5153,
      0.3277,
      0.2714,
      0.3798,
      0.5385,
      0.444,
      0.3553,
      0.4783,
      0.4004,
      0.398,
      0.4998,
      0.3938,
      0.3435,
      0.4517,
      0.3903,
      0.5982,
      0.5083,
      0.4267,
      0.3188,
      0.4685,
      0.4152,
      0.4068,
      0.5036,
      0.4479,
      0.4158,
      0.5756,
      0.4241,
      0.2821,
      0.3725,
      0.3709,
      0.512,
      0.4745,
      0.5579,
      0.4258,
      0.288,
      0.5229,
      0.3085,
      0.301,
      0.3547,
      0.2753,
      0.4108,
      0.3372,
      0.1807,
      0.3057,
      0.3796,
      0.1182,
      0.0393,
      0.0975,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2245,
      0.2052,
      0.1609,
      0.3793,
      0.1465,
      0.3145,
      0.1741,
      0.2181,
      0.1172,
      0.2967,
      0.2333,
      0.1833,
      0.3003,
      0.3357,
      0.2982,
      0.199,
      0.133,
      0.2093,
      0.0698,
      0.2679,
      0.0467,
      0.0396,
      0,
      0.197,
      0.3468,
      0.1141,
      0.3466,
      0.1992,
      0.2094,
      0.3139,
      0.3493,
      0.2986,
      0.3469,
      0.3997,
      0.4738,
      0.4237,
      0.6632,
      0.4273,
      0.3949,
      0.2525,
      0.3042,
      0.3179,
      0.3299,
      0.5054,
      0.3203,
      0.4461,
      0.1935,
      0.343,
      0.3192,
      0.6276,
      0.2829,
      0.2971,
      0.3734,
      0.387,
      0.3107,
      0.3733,
      0.2029,
      0.1409,
      0.2797,
      0.2974,
      0.3618,
      0.3605,
      0.3122,
      0.4207,
      0.5339,
      0.5685,
      0.3599,
      0.4136,
      0.3914,
      0.3554,
      0.3966,
      0.3289,
      0.3388,
      0.4183,
      0.4763,
      0.2912,
      0.3975,
      0.5499,
      0.4655,
      0.3847,
      0.4761,
      0.7112,
      0.3268,
      0.412,
      0.3948,
      0.3731,
      0.3747,
      0.5007,
      0.3021,
      0.5051,
      0.304,
      0.5369,
      0.4398,
      0.5055,
      0.5498,
      0.3945,
      0.3688,
      0.3821,
      0.3812,
      0.3367,
      0.332,
      0.3571,
      0.2367,
      0.441,
      0.4964,
      0.2787,
      0.1734,
      0.1793,
      0.2591,
      0.3435,
      0.2902,
      0.276,
      0.1324,
      0.422,
      0.5777,
      0.3553,
      0.4462,
      0.2404,
      0.2945,
      0.1963,
      0.3189,
      0.4469,
      0.5324,
      0.2587,
      0.6578,
      0.273,
      0.4479,
      0.4944,
      0.5802,
      0.3456,
      0.2518,
      0.3315,
      0.3106,
      0.491,
      0.2857,
      0.2384,
      0.3175,
      0.5493,
      0.3028,
      0.4699,
      0.7452,
      0.3095,
      0.4553,
      0.4442,
      0.3613,
      0.4679,
      0.2999,
      0.4323,
      0.398,
      0.3332,
      0.3526,
      0.238,
      0.3199,
      0.3913,
      0.3875,
      0.3012,
      0.3589,
      0.3389,
      0.4294,
      0.4633,
      0.5728,
      0.5808,
      0.4759,
      0.5482,
      0.4942,
      0.2808,
      0.4053,
      0.6441,
      0.3338,
      0.4434,
      0.6097,
      0.4379,
      0.4288,
      0.5185,
      0.5449,
      0.61,
      0.5172,
      0.3829,
      0.226,
      0.56,
      0.3419,
      0.566,
      0.4851,
      0.3643,
      0.3689,
      0.4443,
      0.5455,
      0.5614,
      0.5625,
      0.3804,
      0.3242,
      0.4042,
      0.431,
      0.4428,
      0.4672,
      0.3318,
      0.4183,
      0.4538,
      0.2195,
      0.3662,
      0.3849,
      0.4875,
      0.4534,
      0.4032,
      0.7224,
      0.4917,
      0.5462,
      0.4391,
      0.2793,
      0.2667,
      0.2328,
      0.3633,
      0.5403,
      0.3071,
      0.4258,
      0.3117,
      0.1278,
      0.1627,
      0.4022,
      0.3989,
      0.3546,
      0.3775,
      0.3881,
      0.3944,
      0.4253,
      0.5017,
      0.5223,
      0.3322,
      0.4726,
      0.5005,
      0.3619,
      0.3402,
      0.3908,
      0.594,
      0.4226,
      0.5051,
      0.4641,
      0.5725,
      0.4326,
      0.5407,
      0.4193,
      0.4707,
      0.2594,
      0.434,
      0.2949,
      0.3286,
      0.5746,
      0.2405,
      0.356,
      0.3684,
      0.5932,
      0.4302,
      0.3312,
      0.4271,
      0.356,
      0.4194,
      0.433,
      0.4176,
      0.3759,
      0.4883,
      0.3735,
      0.4886,
      0.5581,
      0.4064,
      0.4133,
      0.5583,
      0.4211,
      0.4288,
      0.4919,
      0.3964,
      0.4457,
      0.5817,
      0.569,
      0.2489,
      0.4305,
      0.3945,
      0.4716,
      0.3846,
      0.5613,
      0.3819,
      0.3153,
      0.3473,
      0.2914,
      0.2404,
      0.3893,
      0.2336,
      0.3638,
      0.3079,
      0.1199,
      0.305,
      0.1879,
      0.0343,
      0.2396,
      0,
      0.0527,
      0,
      0,
      0,
      0,
      0,
      0.2109,
      0.3297,
      0.091,
      0.3675,
      0.1,
      0.2442,
      0.2122,
      0.2223,
      0.2199,
      0.325,
      0.1577,
      0.1404,
      0.261,
      0.3781,
      0.3165,
      0.2668,
      0.2185,
      0.1772,
      0,
      0.1744,
      0,
      0,
      0,
      0.1917,
      0.3812,
      0.2097,
      0.3482,
      0.2008,
      0.254,
      0.3884,
      0.4352,
      0.3386,
      0.3122,
      0.3499,
      0.512,
      0.5678,
      0.5377,
      0.4055,
      0.6152,
      0.3001,
      0.3377,
      0.2469,
      0.287,
      0.5569,
      0.2203,
      0.3554,
      0.2122,
      0.2784,
      0.4182,
      0.5738,
      0.2143,
      0.2672,
      0.6719,
      0.4717,
      0.3015,
      0.3334,
      0.1641,
      0.101,
      0.306,
      0.5001,
      0.3637,
      0.4859,
      0.324,
      0.3728,
      0.5465,
      0.5145,
      0.6336,
      0.4351,
      0.42,
      0.3967,
      0.3491,
      0.3695,
      0.286,
      0.3748,
      0.2375,
      0.2831,
      0.3822,
      0.57,
      0.3961,
      0.3337,
      0.4474,
      0.4595,
      0.3217,
      0.356,
      0.4056,
      0.3517,
      0.3429,
      0.238,
      0.3367,
      0.5013,
      0.2302,
      0.5227,
      0.4095,
      0.583,
      0.2421,
      0.3964,
      0.4001,
      0.3906,
      0.4196,
      0.3576,
      0.3249,
      0.3265,
      0.2319,
      0.4001,
      0.3764,
      0.2815,
      0.2253,
      0.203,
      0.2736,
      0.3194,
      0.3126,
      0.3177,
      0.1463,
      0.3137,
      0.4576,
      0.3132,
      0.441,
      0.2909,
      0.2968,
      0.2149,
      0.3678,
      0.4211,
      0.4614,
      0.3246,
      0.639,
      0.2196,
      0.4059,
      0.5483,
      0.468,
      0.4362,
      0.2988,
      0.2996,
      0.419,
      0.3735,
      0.2527,
      0.2982,
      0.3046,
      0.5426,
      0.4081,
      0.3777,
      0.6261,
      0.2585,
      0.4558,
      0.4876,
      0.4212,
      0.3924,
      0.2933,
      0.2692,
      0.3875,
      0.3915,
      0.4207,
      0.3609,
      0.3224,
      0.3774,
      0.2853,
      0.4317,
      0.2494,
      0.3113,
      0.421,
      0.4601,
      0.5249,
      0.523,
      0.4913,
      0.5965,
      0.5298,
      0.2255,
      0.4096,
      0.5617,
      0.4114,
      0.5434,
      0.5247,
      0.3807,
      0.3833,
      0.4732,
      0.5838,
      0.7504,
      0.4649,
      0.4253,
      0.3472,
      0.5859,
      0.3944,
      0.6693,
      0.4245,
      0.3563,
      0.327,
      0.5758,
      0.538,
      0.4895,
      0.5143,
      0.412,
      0.4132,
      0.4073,
      0.4062,
      0.4603,
      0.4139,
      0.3336,
      0.4238,
      0.3187,
      0.217,
      0.3775,
      0.4532,
      0.3981,
      0.5384,
      0.3441,
      0.6435,
      0.462,
      0.6005,
      0.4382,
      0.2877,
      0.3049,
      0.2195,
      0.3688,
      0.5906,
      0.3802,
      0.4134,
      0.2179,
      0.1692,
      0.2057,
      0.2959,
      0.4794,
      0.3733,
      0.3469,
      0.2551,
      0.1892,
      0.3291,
      0.4534,
      0.5579,
      0.2636,
      0.4852,
      0.443,
      0.3458,
      0.3326,
      0.4278,
      0.4789,
      0.4227,
      0.4091,
      0.4653,
      0.5594,
      0.3718,
      0.5142,
      0.5739,
      0.4692,
      0.3432,
      0.4818,
      0.3434,
      0.3631,
      0.556,
      0.3588,
      0.4433,
      0.3043,
      0.5931,
      0.4408,
      0.3446,
      0.4829,
      0.3941,
      0.377,
      0.3394,
      0.4333,
      0.355,
      0.4366,
      0.4189,
      0.3733,
      0.6012,
      0.4658,
      0.5291,
      0.5109,
      0.4427,
      0.4784,
      0.5684,
      0.4347,
      0.4206,
      0.5331,
      0.5527,
      0.3986,
      0.6609,
      0.4583,
      0.4918,
      0.4646,
      0.6979,
      0.4251,
      0.2348,
      0.3791,
      0.2918,
      0.4033,
      0.2925,
      0.3464,
      0.3097,
      0.2933,
      0.1653,
      0.253,
      0.1516,
      0.1212,
      0.0263,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1677,
      0.411,
      0.0581,
      0.3313,
      0.048,
      0.227,
      0.1374,
      0.2333,
      0.3486,
      0.2624,
      0.1416,
      0.1843,
      0.2063,
      0.3159,
      0.4188,
      0.1822,
      0.3074,
      0.2594,
      0.0866,
      0.1718,
      0,
      0.0152,
      0,
      0.203,
      0.3681,
      0.1988,
      0.3294,
      0.1909,
      0.1553,
      0.3892,
      0.4232,
      0.3337,
      0.2865,
      0.3102,
      0.4636,
      0.5945,
      0.4111,
      0.6991,
      0.584,
      0.2423,
      0.2835,
      0.1671,
      0.3118,
      0.5114,
      0.2964,
      0.4594,
      0.1792,
      0.377,
      0.6267,
      0.2951,
      0.2489,
      0.2505,
      0.4297,
      0.4821,
      0.2577,
      0.3318,
      0.1544,
      0.1503,
      0.3104,
      0.6206,
      0.3232,
      0.5095,
      0.4262,
      0.3662,
      0.5962,
      0.5329,
      0.6542,
      0.483,
      0.4128,
      0.399,
      0.3912,
      0.2827,
      0.3407,
      0.4043,
      0.2752,
      0.1889,
      0.3665,
      0.5944,
      0.3697,
      0.3368,
      0.4257,
      0.3428,
      0.3566,
      0.2787,
      0.4001,
      0.3024,
      0.3459,
      0.2845,
      0.2254,
      0.468,
      0.3431,
      0.4734,
      0.3988,
      0.5339,
      0.4319,
      0.4,
      0.3596,
      0.4682,
      0.5027,
      0.449,
      0.3068,
      0.291,
      0.1744,
      0.3832,
      0.3876,
      0.2836,
      0.2336,
      0.2071,
      0.2847,
      0.3665,
      0.2826,
      0.2592,
      0.1257,
      0.362,
      0.5178,
      0.3486,
      0.4868,
      0.3003,
      0.2424,
      0.2239,
      0.3693,
      0.3671,
      0.3573,
      0.1604,
      0.3091,
      0.2329,
      0.4008,
      0.5095,
      0.4454,
      0.4223,
      0.3763,
      0.2715,
      0.3163,
      0.354,
      0.3116,
      0.2725,
      0.5005,
      0.4915,
      0.2979,
      0.3828,
      0.4469,
      0.3351,
      0.4618,
      0.4502,
      0.3387,
      0.4963,
      0.2994,
      0.2767,
      0.3579,
      0.3968,
      0.2244,
      0.3082,
      0.2983,
      0.3407,
      0.2694,
      0.3986,
      0.3402,
      0.3014,
      0.3881,
      0.4529,
      0.4813,
      0.463,
      0.4607,
      0.6022,
      0.5065,
      0.2614,
      0.3218,
      0.4333,
      0.4089,
      0.6047,
      0.4503,
      0.4769,
      0.3548,
      0.5143,
      0.514,
      0.6022,
      0.4376,
      0.382,
      0.3576,
      0.4015,
      0.3171,
      0.6544,
      0.3849,
      0.388,
      0.3636,
      0.4066,
      0.506,
      0.5732,
      0.4409,
      0.5743,
      0.4815,
      0.4413,
      0.4016,
      0.3033,
      0.398,
      0.3037,
      0.3786,
      0.4447,
      0.1886,
      0.4379,
      0.4733,
      0.4262,
      0.5644,
      0.3399,
      0.5235,
      0.4601,
      0.5123,
      0.42,
      0.3514,
      0.3237,
      0.2068,
      0.3361,
      0.5614,
      0.4436,
      0.2464,
      0.1599,
      0.2592,
      0.2096,
      0.2454,
      0.3048,
      0.3915,
      0.3269,
      0.3699,
      0.1754,
      0.3787,
      0.4964,
      0.5727,
      0.2265,
      0.5552,
      0.3702,
      0.3984,
      0.4454,
      0.3878,
      0.408,
      0.3019,
      0.4237,
      0.4074,
      0.6426,
      0.3832,
      0.4905,
      0.6025,
      0.5133,
      0.5118,
      0.4847,
      0.5539,
      0.3338,
      0.4656,
      0.368,
      0.5745,
      0.3459,
      0.5899,
      0.4447,
      0.4128,
      0.3916,
      0.3597,
      0.454,
      0.2907,
      0.4091,
      0.3635,
      0.4001,
      0.5359,
      0.3924,
      0.5612,
      0.495,
      0.454,
      0.4102,
      0.4111,
      0.5901,
      0.3808,
      0.445,
      0.3275,
      0.5793,
      0.4326,
      0.3367,
      0.6784,
      0.4201,
      0.5307,
      0.4212,
      0.4592,
      0.3581,
      0.3375,
      0.3398,
      0.2163,
      0.3843,
      0.3243,
      0.2525,
      0.2519,
      0.3809,
      0.2617,
      0.2488,
      0.0728,
      0.0845,
      0.0387,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2022,
      0.4367,
      0.0743,
      0.3174,
      0.0307,
      0.1965,
      0.1069,
      0.2117,
      0.2982,
      0.1847,
      0.1446,
      0.1577,
      0.2332,
      0.1786,
      0.5979,
      0.1914,
      0.4026,
      0.1823,
      0.0311,
      0.1971,
      0,
      0.0613,
      0,
      0.2307,
      0.2758,
      0.1284,
      0.3513,
      0.2143,
      0.2023,
      0.4452,
      0.4313,
      0.3348,
      0.4038,
      0.3041,
      0.5176,
      0.4363,
      0.3487,
      0.517,
      0.34,
      0.2572,
      0.3098,
      0.2281,
      0.3347,
      0.4628,
      0.2726,
      0.3576,
      0.2167,
      0.3148,
      0.5147,
      0.3301,
      0.3134,
      0.2261,
      0.3395,
      0.2498,
      0.3169,
      0.2921,
      0.1771,
      0.0918,
      0.3201,
      0.5334,
      0.3493,
      0.4355,
      0.455,
      0.3078,
      0.5736,
      0.502,
      0.3702,
      0.4634,
      0.4664,
      0.2586,
      0.3467,
      0.2732,
      0.3244,
      0.3045,
      0.2046,
      0.2974,
      0.4632,
      0.5594,
      0.3289,
      0.5011,
      0.3805,
      0.3741,
      0.3083,
      0.3614,
      0.3412,
      0.3652,
      0.4061,
      0.4424,
      0.2306,
      0.4447,
      0.3778,
      0.548,
      0.4248,
      0.5247,
      0.4282,
      0.3697,
      0.418,
      0.4187,
      0.5771,
      0.3846,
      0.2608,
      0.33,
      0.181,
      0.3281,
      0.3905,
      0.2131,
      0.1958,
      0.1519,
      0.4754,
      0.4093,
      0.3654,
      0.2869,
      0.1183,
      0.424,
      0.511,
      0.3958,
      0.5081,
      0.2819,
      0.3122,
      0.1398,
      0.4332,
      0.3094,
      0.2997,
      0.211,
      0.2668,
      0.2057,
      0.4776,
      0.5083,
      0.5005,
      0.411,
      0.3515,
      0.3867,
      0.4008,
      0.3185,
      0.3494,
      0.2358,
      0.5237,
      0.5566,
      0.3998,
      0.4022,
      0.3539,
      0.311,
      0.4167,
      0.3679,
      0.4265,
      0.514,
      0.2116,
      0.2966,
      0.4266,
      0.3123,
      0.2844,
      0.3408,
      0.2597,
      0.2868,
      0.3958,
      0.3814,
      0.3469,
      0.3225,
      0.4418,
      0.4145,
      0.5422,
      0.5189,
      0.5616,
      0.5503,
      0.3417,
      0.2337,
      0.3565,
      0.36,
      0.347,
      0.5968,
      0.3713,
      0.3411,
      0.3176,
      0.5019,
      0.4186,
      0.4153,
      0.6425,
      0.391,
      0.3132,
      0.342,
      0.3504,
      0.3527,
      0.2965,
      0.3545,
      0.3398,
      0.3828,
      0.4612,
      0.5288,
      0.5105,
      0.6502,
      0.3882,
      0.6231,
      0.3683,
      0.3053,
      0.4478,
      0.3838,
      0.2981,
      0.3849,
      0.1079,
      0.487,
      0.4265,
      0.4529,
      0.4884,
      0.4187,
      0.4451,
      0.4076,
      0.4075,
      0.4434,
      0.3328,
      0.3056,
      0.1879,
      0.3928,
      0.5353,
      0.4447,
      0.2293,
      0.203,
      0.2584,
      0.2122,
      0.2107,
      0.2565,
      0.4066,
      0.2627,
      0.5798,
      0.3244,
      0.3782,
      0.378,
      0.5206,
      0.26,
      0.6959,
      0.2784,
      0.4013,
      0.4983,
      0.319,
      0.4454,
      0.3964,
      0.3871,
      0.4466,
      0.6654,
      0.4172,
      0.4994,
      0.5151,
      0.4301,
      0.6418,
      0.4591,
      0.6643,
      0.4422,
      0.4369,
      0.3781,
      0.5532,
      0.4338,
      0.6072,
      0.4671,
      0.4402,
      0.4004,
      0.336,
      0.3236,
      0.4901,
      0.4241,
      0.4159,
      0.3726,
      0.4932,
      0.3958,
      0.4865,
      0.453,
      0.5231,
      0.4365,
      0.5689,
      0.5462,
      0.5058,
      0.3886,
      0.4875,
      0.598,
      0.4034,
      0.308,
      0.4001,
      0.3936,
      0.4907,
      0.4378,
      0.4741,
      0.3522,
      0.3922,
      0.3657,
      0.2974,
      0.3485,
      0.4002,
      0.2864,
      0.2214,
      0.4075,
      0.2077,
      0.2493,
      0.3727,
      0.0129,
      0.0514,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3116,
      0.2581,
      0.1462,
      0.3962,
      0.0553,
      0.1895,
      0.0211,
      0.212,
      0.2331,
      0.1539,
      0.1739,
      0.1214,
      0.2526,
      0.103,
      0.5639,
      0.1584,
      0.2868,
      0.1733,
      0.008,
      0.2656,
      0.0024,
      0.0356,
      0,
      0.2287,
      0.3568,
      0.1333,
      0.3468,
      0.1575,
      0.2308,
      0.3673,
      0.4545,
      0.3031,
      0.3665,
      0.3416,
      0.5058,
      0.4302,
      0.3467,
      0.5368,
      0.3872,
      0.3487,
      0.5032,
      0.2358,
      0.3307,
      0.5427,
      0.3024,
      0.3091,
      0.1978,
      0.3245,
      0.2639,
      0.2756,
      0.3099,
      0.3177,
      0.3037,
      0.3892,
      0.3446,
      0.2833,
      0.1991,
      0.2029,
      0.3342,
      0.3156,
      0.3428,
      0.3171,
      0.5435,
      0.2915,
      0.5403,
      0.509,
      0.43,
      0.5579,
      0.5469,
      0.2077,
      0.3579,
      0.2474,
      0.3272,
      0.2791,
      0.1525,
      0.4757,
      0.4706,
      0.5945,
      0.3201,
      0.4249,
      0.4435,
      0.4561,
      0.3608,
      0.3419,
      0.4927,
      0.3379,
      0.5095,
      0.4286,
      0.2505,
      0.4059,
      0.2886,
      0.5032,
      0.3666,
      0.3554,
      0.5266,
      0.397,
      0.4314,
      0.4352,
      0.7441,
      0.4166,
      0.2678,
      0.2325,
      0.2329,
      0.3663,
      0.3245,
      0.1931,
      0.0363,
      0.2325,
      0.2663,
      0.3029,
      0.3166,
      0.2414,
      0.0899,
      0.4496,
      0.531,
      0.3426,
      0.4962,
      0.3083,
      0.3734,
      0.217,
      0.4091,
      0.4057,
      0.2321,
      0.2535,
      0.2984,
      0.2522,
      0.4514,
      0.542,
      0.412,
      0.3628,
      0.3276,
      0.3773,
      0.3578,
      0.3389,
      0.3606,
      0.2327,
      0.2949,
      0.557,
      0.3795,
      0.4077,
      0.4196,
      0.332,
      0.3446,
      0.3971,
      0.5501,
      0.5074,
      0.2457,
      0.2667,
      0.366,
      0.3695,
      0.3333,
      0.4273,
      0.2955,
      0.3215,
      0.2532,
      0.4498,
      0.3366,
      0.3538,
      0.4138,
      0.5048,
      0.4692,
      0.6261,
      0.6205,
      0.3918,
      0.3512,
      0.2714,
      0.3674,
      0.4434,
      0.3734,
      0.5501,
      0.3608,
      0.3745,
      0.3414,
      0.4837,
      0.5345,
      0.2888,
      0.6504,
      0.3308,
      0.2814,
      0.2677,
      0.3505,
      0.387,
      0.393,
      0.2451,
      0.2372,
      0.3649,
      0.4276,
      0.5504,
      0.5125,
      0.615,
      0.5781,
      0.672,
      0.3893,
      0.3254,
      0.415,
      0.3078,
      0.4075,
      0.4437,
      0.3625,
      0.531,
      0.3464,
      0.4341,
      0.4389,
      0.5644,
      0.4416,
      0.4089,
      0.4925,
      0.4863,
      0.2841,
      0.3063,
      0.2682,
      0.4753,
      0.5335,
      0.3488,
      0.276,
      0.2416,
      0.2077,
      0.152,
      0.2515,
      0.2754,
      0.3731,
      0.2669,
      0.4987,
      0.3185,
      0.3738,
      0.4063,
      0.4624,
      0.2564,
      0.7275,
      0.3417,
      0.4398,
      0.4783,
      0.3744,
      0.4302,
      0.4165,
      0.381,
      0.4627,
      0.4992,
      0.3905,
      0.5896,
      0.5057,
      0.5187,
      0.6028,
      0.4547,
      0.4512,
      0.6177,
      0.4315,
      0.3446,
      0.5039,
      0.5628,
      0.5692,
      0.3561,
      0.433,
      0.4146,
      0.3317,
      0.276,
      0.3923,
      0.4315,
      0.3869,
      0.4898,
      0.4971,
      0.4463,
      0.5139,
      0.4894,
      0.4761,
      0.4461,
      0.6036,
      0.5537,
      0.6695,
      0.6409,
      0.4964,
      0.5422,
      0.4087,
      0.2591,
      0.3872,
      0.6556,
      0.6446,
      0.5684,
      0.4135,
      0.6366,
      0.3924,
      0.3618,
      0.2061,
      0.3061,
      0.5681,
      0.3099,
      0.2419,
      0.3793,
      0.2313,
      0.3268,
      0.439,
      0,
      0.0114,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3897,
      0.3148,
      0.0183,
      0.3739,
      0.0756,
      0.1935,
      0.0574,
      0.294,
      0.281,
      0.2063,
      0.209,
      0.0985,
      0.3242,
      0.1384,
      0.4553,
      0.2367,
      0.1467,
      0.1347,
      0.0856,
      0.2777,
      0,
      0.0244,
      0,
      0.2448,
      0.4064,
      0.1789,
      0.4218,
      0.2143,
      0.2553,
      0.4125,
      0.3122,
      0.2833,
      0.3623,
      0.3376,
      0.4664,
      0.3999,
      0.3132,
      0.4649,
      0.341,
      0.3121,
      0.5737,
      0.2242,
      0.3286,
      0.5205,
      0.3167,
      0.4192,
      0.2338,
      0.2368,
      0.3524,
      0.3053,
      0.3199,
      0.3351,
      0.333,
      0.3285,
      0.3339,
      0.4269,
      0.2935,
      0.2095,
      0.3532,
      0.3511,
      0.3636,
      0.3159,
      0.5225,
      0.2325,
      0.5402,
      0.5275,
      0.3989,
      0.6276,
      0.4689,
      0.2703,
      0.369,
      0.2975,
      0.239,
      0.3451,
      0.1148,
      0.3002,
      0.354,
      0.5688,
      0.4045,
      0.3909,
      0.4812,
      0.334,
      0.3373,
      0.483,
      0.3973,
      0.3593,
      0.5077,
      0.2389,
      0.3506,
      0.368,
      0.3238,
      0.503,
      0.4789,
      0.4695,
      0.4415,
      0.3739,
      0.441,
      0.3986,
      0.4699,
      0.5078,
      0.2797,
      0.3144,
      0.231,
      0.4037,
      0.4,
      0.2344,
      0.2235,
      0.2009,
      0.2182,
      0.4057,
      0.2445,
      0.2261,
      0.1601,
      0.398,
      0.5396,
      0.4235,
      0.4132,
      0.3486,
      0.3846,
      0.2231,
      0.4274,
      0.4736,
      0.3647,
      0.3333,
      0.3824,
      0.2845,
      0.3599,
      0.6209,
      0.3847,
      0.3837,
      0.3279,
      0.3705,
      0.3499,
      0.3875,
      0.3248,
      0.2228,
      0.3946,
      0.5332,
      0.372,
      0.4048,
      0.3873,
      0.3292,
      0.3527,
      0.3451,
      0.5779,
      0.5167,
      0.1896,
      0.3065,
      0.4454,
      0.408,
      0.3312,
      0.3674,
      0.2809,
      0.328,
      0.3079,
      0.3031,
      0.3255,
      0.3349,
      0.3725,
      0.5204,
      0.5164,
      0.6113,
      0.5357,
      0.4094,
      0.3746,
      0.1709,
      0.3611,
      0.4517,
      0.4218,
      0.4684,
      0.3517,
      0.5399,
      0.4289,
      0.5122,
      0.5045,
      0.3461,
      0.6156,
      0.4885,
      0.2508,
      0.3034,
      0.3461,
      0.4247,
      0.3271,
      0.3235,
      0.2999,
      0.4151,
      0.4098,
      0.4731,
      0.5177,
      0.4339,
      0.6983,
      0.4861,
      0.4263,
      0.3172,
      0.2895,
      0.3657,
      0.3471,
      0.3999,
      0.3148,
      0.5487,
      0.2999,
      0.4658,
      0.315,
      0.4462,
      0.477,
      0.4257,
      0.4908,
      0.4058,
      0.2429,
      0.2983,
      0.3468,
      0.4204,
      0.4847,
      0.4063,
      0.3084,
      0.1998,
      0.138,
      0.2408,
      0.22,
      0.311,
      0.423,
      0.4355,
      0.3762,
      0.3674,
      0.3839,
      0.5045,
      0.5133,
      0.2736,
      0.6677,
      0.3761,
      0.4043,
      0.4906,
      0.5038,
      0.5183,
      0.5221,
      0.19,
      0.4649,
      0.4341,
      0.5073,
      0.5674,
      0.5245,
      0.4162,
      0.3371,
      0.5093,
      0.4296,
      0.6069,
      0.4764,
      0.2938,
      0.3744,
      0.5544,
      0.483,
      0.471,
      0.4047,
      0.5312,
      0.408,
      0.2595,
      0.3911,
      0.3301,
      0.3344,
      0.42,
      0.4092,
      0.5238,
      0.544,
      0.4849,
      0.4285,
      0.2875,
      0.5225,
      0.6754,
      0.6603,
      0.5991,
      0.3368,
      0.5032,
      0.2883,
      0.307,
      0.3902,
      0.483,
      0.5836,
      0.631,
      0.4684,
      0.4289,
      0.3205,
      0.3475,
      0.2584,
      0.3444,
      0.4005,
      0.276,
      0.175,
      0.3756,
      0.1475,
      0.49,
      0.1752,
      0.0085,
      0.0316,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3007,
      0.3333,
      0.1279,
      0.2681,
      0.1112,
      0.2538,
      0.062,
      0.3642,
      0.2185,
      0.1902,
      0.1901,
      0.1219,
      0.3695,
      0.1372,
      0.3735,
      0.1826,
      0.2463,
      0.172,
      0.1095,
      0.2996,
      0.0019,
      0.0444,
      0,
      0.252,
      0.4653,
      0.1563,
      0.4135,
      0.1898,
      0.3087,
      0.3705,
      0.406,
      0.2963,
      0.3803,
      0.3083,
      0.5119,
      0.4023,
      0.3901,
      0.3682,
      0.3829,
      0.2325,
      0.3731,
      0.1956,
      0.4406,
      0.5155,
      0.3264,
      0.4303,
      0.2781,
      0.3674,
      0.3393,
      0.3196,
      0.3083,
      0.3536,
      0.3285,
      0.4549,
      0.3844,
      0.4272,
      0.2692,
      0.227,
      0.3587,
      0.3439,
      0.3538,
      0.313,
      0.3649,
      0.3322,
      0.5741,
      0.5894,
      0.4139,
      0.5433,
      0.4645,
      0.2265,
      0.3093,
      0.282,
      0.2616,
      0.4005,
      0.1799,
      0.326,
      0.3117,
      0.5436,
      0.4868,
      0.3761,
      0.5049,
      0.4343,
      0.3597,
      0.4882,
      0.4038,
      0.3406,
      0.3712,
      0.28,
      0.3068,
      0.4288,
      0.3109,
      0.4607,
      0.5106,
      0.424,
      0.4716,
      0.3714,
      0.4323,
      0.402,
      0.4314,
      0.3939,
      0.3209,
      0.2827,
      0.1675,
      0.5074,
      0.4247,
      0.2477,
      0.2352,
      0.2819,
      0.2807,
      0.4112,
      0.25,
      0.2287,
      0.2154,
      0.5034,
      0.5635,
      0.4304,
      0.5031,
      0.3533,
      0.3627,
      0.2458,
      0.3527,
      0.3439,
      0.4554,
      0.285,
      0.3385,
      0.278,
      0.6961,
      0.5776,
      0.4409,
      0.4426,
      0.3325,
      0.3349,
      0.4141,
      0.3825,
      0.2418,
      0.2565,
      0.4309,
      0.5589,
      0.3381,
      0.4186,
      0.3313,
      0.3493,
      0.3813,
      0.4366,
      0.3873,
      0.4658,
      0.2219,
      0.3719,
      0.5259,
      0.4296,
      0.3849,
      0.2523,
      0.3375,
      0.2777,
      0.2852,
      0.4105,
      0.379,
      0.3569,
      0.3654,
      0.5362,
      0.5561,
      0.5391,
      0.3881,
      0.3999,
      0.3737,
      0.1572,
      0.4042,
      0.439,
      0.4827,
      0.4281,
      0.4883,
      0.4418,
      0.3875,
      0.567,
      0.5656,
      0.3763,
      0.533,
      0.4779,
      0.3075,
      0.3869,
      0.3511,
      0.3468,
      0.4094,
      0.2701,
      0.2562,
      0.3882,
      0.5113,
      0.5406,
      0.5303,
      0.38,
      0.5131,
      0.396,
      0.4172,
      0.3408,
      0.3342,
      0.3335,
      0.326,
      0.4118,
      0.2356,
      0.4507,
      0.3023,
      0.4891,
      0.3659,
      0.5215,
      0.2987,
      0.4443,
      0.4821,
      0.5075,
      0.336,
      0.2582,
      0.3177,
      0.4067,
      0.529,
      0.3797,
      0.289,
      0.3308,
      0.1938,
      0.2722,
      0.2378,
      0.3991,
      0.4808,
      0.4614,
      0.4084,
      0.3511,
      0.373,
      0.4006,
      0.5498,
      0.3246,
      0.5637,
      0.3941,
      0.4445,
      0.4766,
      0.4625,
      0.4153,
      0.5312,
      0.313,
      0.4908,
      0.4932,
      0.4602,
      0.5431,
      0.5558,
      0.4857,
      0.3636,
      0.4805,
      0.3518,
      0.4032,
      0.5223,
      0.2892,
      0.4089,
      0.4557,
      0.5085,
      0.508,
      0.4421,
      0.5587,
      0.4087,
      0.3435,
      0.4024,
      0.4325,
      0.3461,
      0.4843,
      0.4045,
      0.4775,
      0.4992,
      0.4773,
      0.5002,
      0.3151,
      0.4401,
      0.5161,
      0.5081,
      0.4084,
      0.3617,
      0.466,
      0.3713,
      0.2113,
      0.3954,
      0.4498,
      0.4666,
      0.5726,
      0.5053,
      0.4764,
      0.357,
      0.3172,
      0.2852,
      0.3108,
      0.377,
      0.2518,
      0.2604,
      0.3755,
      0.3192,
      0.2682,
      0.1414,
      0.0476,
      0.0397,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2295,
      0.3623,
      0.115,
      0.3022,
      0.1417,
      0.236,
      0.0871,
      0.3323,
      0.2463,
      0.2494,
      0.1939,
      0.1121,
      0.2724,
      0.2969,
      0.416,
      0.346,
      0.1607,
      0.1877,
      0.0368,
      0.2503,
      0,
      0.0991,
      0,
      0.2517,
      0.3885,
      0.1528,
      0.4212,
      0.1966,
      0.2724,
      0.4084,
      0.4018,
      0.4298,
      0.3501,
      0.2832,
      0.4616,
      0.3624,
      0.3335,
      0.3712,
      0.3344,
      0.2234,
      0.2935,
      0.1826,
      0.3775,
      0.5159,
      0.3483,
      0.444,
      0.2376,
      0.3226,
      0.3348,
      0.3211,
      0.4007,
      0.3463,
      0.2925,
      0.2959,
      0.3909,
      0.3987,
      0.2081,
      0.1307,
      0.3236,
      0.4182,
      0.3528,
      0.3136,
      0.3069,
      0.2798,
      0.5869,
      0.5656,
      0.4217,
      0.4368,
      0.5054,
      0.1926,
      0.3581,
      0.3218,
      0.2648,
      0.3451,
      0.2333,
      0.3548,
      0.2945,
      0.5811,
      0.497,
      0.3607,
      0.5246,
      0.4475,
      0.3542,
      0.3249,
      0.3822,
      0.2973,
      0.2384,
      0.4716,
      0.3466,
      0.4558,
      0.3302,
      0.4686,
      0.4845,
      0.4775,
      0.4122,
      0.334,
      0.4232,
      0.4399,
      0.3333,
      0.365,
      0.2715,
      0.2689,
      0.1234,
      0.4783,
      0.4005,
      0.2745,
      0.2141,
      0.2274,
      0.2912,
      0.3675,
      0.3435,
      0.2899,
      0.1767,
      0.5643,
      0.5234,
      0.3369,
      0.4647,
      0.3661,
      0.4292,
      0.2548,
      0.3605,
      0.3378,
      0.3934,
      0.2427,
      0.3043,
      0.3715,
      0.5075,
      0.571,
      0.5111,
      0.4624,
      0.3544,
      0.3389,
      0.3874,
      0.4181,
      0.3291,
      0.1984,
      0.4515,
      0.5386,
      0.3539,
      0.454,
      0.2961,
      0.3251,
      0.5171,
      0.3985,
      0.3904,
      0.4602,
      0.3047,
      0.391,
      0.5457,
      0.4331,
      0.3918,
      0.324,
      0.2478,
      0.1768,
      0.307,
      0.3964,
      0.321,
      0.2816,
      0.3647,
      0.3723,
      0.5678,
      0.5342,
      0.4924,
      0.4242,
      0.4399,
      0.2257,
      0.4076,
      0.4956,
      0.5536,
      0.5089,
      0.4812,
      0.454,
      0.4481,
      0.6158,
      0.6132,
      0.4178,
      0.5907,
      0.4145,
      0.3035,
      0.4664,
      0.3488,
      0.3402,
      0.3945,
      0.2693,
      0.2718,
      0.387,
      0.5474,
      0.5656,
      0.4512,
      0.3494,
      0.4478,
      0.478,
      0.3644,
      0.3582,
      0.4133,
      0.3094,
      0.3532,
      0.4134,
      0.2354,
      0.4584,
      0.4104,
      0.537,
      0.4035,
      0.4611,
      0.3886,
      0.4306,
      0.4233,
      0.4693,
      0.3417,
      0.3217,
      0.2469,
      0.3388,
      0.574,
      0.3355,
      0.3313,
      0.3406,
      0.2159,
      0.2296,
      0.3122,
      0.4551,
      0.3342,
      0.2708,
      0.3331,
      0.3078,
      0.3648,
      0.4593,
      0.5276,
      0.3574,
      0.4721,
      0.4427,
      0.4293,
      0.5105,
      0.4793,
      0.5031,
      0.5973,
      0.4207,
      0.602,
      0.5785,
      0.5724,
      0.5875,
      0.5494,
      0.415,
      0.3155,
      0.4087,
      0.4064,
      0.4009,
      0.5649,
      0.2712,
      0.3494,
      0.4438,
      0.5329,
      0.5595,
      0.3887,
      0.3208,
      0.3614,
      0.4191,
      0.4636,
      0.3704,
      0.3951,
      0.5124,
      0.325,
      0.4847,
      0.4919,
      0.4906,
      0.5099,
      0.2963,
      0.415,
      0.4928,
      0.4794,
      0.4874,
      0.4061,
      0.5517,
      0.3032,
      0.3261,
      0.4309,
      0.445,
      0.4502,
      0.5183,
      0.4633,
      0.4508,
      0.3544,
      0.3876,
      0.3006,
      0.2376,
      0.3303,
      0.1854,
      0.2621,
      0.3851,
      0.2338,
      0.3421,
      0.3529,
      0.0181,
      0.0489,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1926,
      0.3837,
      0.1716,
      0.289,
      0.0972,
      0.1095,
      0.0894,
      0.2675,
      0.3603,
      0.2954,
      0.1668,
      0.1252,
      0.1292,
      0.3727,
      0.3,
      0.2543,
      0.2749,
      0.217,
      0.0095,
      0.2062,
      0,
      0.158,
      0,
      0.2268,
      0.4225,
      0.136,
      0.4514,
      0.2244,
      0.2896,
      0.4033,
      0.3885,
      0.4379,
      0.3242,
      0.3649,
      0.4607,
      0.4946,
      0.4609,
      0.3655,
      0.3998,
      0.1635,
      0.3097,
      0.2301,
      0.3924,
      0.5549,
      0.3263,
      0.4268,
      0.3082,
      0.3175,
      0.3048,
      0.4324,
      0.3469,
      0.3457,
      0.3617,
      0.3423,
      0.4196,
      0.4389,
      0.228,
      0.2046,
      0.31,
      0.5318,
      0.3953,
      0.3294,
      0.2711,
      0.2674,
      0.5583,
      0.5177,
      0.4075,
      0.5245,
      0.4882,
      0.3069,
      0.4189,
      0.292,
      0.2857,
      0.278,
      0.2794,
      0.3202,
      0.3265,
      0.6024,
      0.5332,
      0.3248,
      0.52,
      0.6447,
      0.2839,
      0.3707,
      0.3912,
      0.2949,
      0.2391,
      0.3365,
      0.2907,
      0.4431,
      0.3504,
      0.5416,
      0.4379,
      0.4749,
      0.4883,
      0.3404,
      0.3959,
      0.3763,
      0.3274,
      0.4188,
      0.3019,
      0.2553,
      0.1736,
      0.424,
      0.3881,
      0.2557,
      0.2502,
      0.2126,
      0.268,
      0.3626,
      0.2531,
      0.6047,
      0.1285,
      0.471,
      0.4881,
      0.4565,
      0.5358,
      0.2547,
      0.404,
      0.2132,
      0.3716,
      0.3042,
      0.4723,
      0.3031,
      0.3574,
      0.4075,
      0.4896,
      0.5121,
      0.4302,
      0.3803,
      0.2968,
      0.3319,
      0.352,
      0.4411,
      0.3855,
      0.194,
      0.4946,
      0.5406,
      0.3626,
      0.4302,
      0.3093,
      0.322,
      0.5522,
      0.3581,
      0.3077,
      0.5879,
      0.34,
      0.3937,
      0.4265,
      0.411,
      0.3666,
      0.2777,
      0.2312,
      0.2431,
      0.3466,
      0.3383,
      0.3459,
      0.2387,
      0.3656,
      0.4251,
      0.5173,
      0.5339,
      0.45,
      0.4202,
      0.4487,
      0.2082,
      0.3135,
      0.5584,
      0.6087,
      0.5258,
      0.5334,
      0.433,
      0.3617,
      0.5634,
      0.5774,
      0.3735,
      0.5891,
      0.4498,
      0.3172,
      0.4301,
      0.3372,
      0.3404,
      0.3292,
      0.2869,
      0.2569,
      0.413,
      0.5196,
      0.5143,
      0.4794,
      0.3951,
      0.3921,
      0.4613,
      0.3882,
      0.3355,
      0.2888,
      0.3328,
      0.3466,
      0.5079,
      0.2975,
      0.3811,
      0.3631,
      0.4668,
      0.4281,
      0.4261,
      0.4698,
      0.4144,
      0.4239,
      0.4833,
      0.1948,
      0.335,
      0.2528,
      0.4412,
      0.5598,
      0.3279,
      0.3005,
      0.3233,
      0.2508,
      0.2742,
      0.3864,
      0.3981,
      0.4042,
      0.3601,
      0.2899,
      0.4193,
      0.3612,
      0.426,
      0.5121,
      0.3278,
      0.3643,
      0.5298,
      0.3736,
      0.4539,
      0.4612,
      0.5394,
      0.4744,
      0.4252,
      0.5125,
      0.5787,
      0.5289,
      0.4931,
      0.496,
      0.4719,
      0.2982,
      0.3896,
      0.4116,
      0.3878,
      0.6216,
      0.3034,
      0.3943,
      0.473,
      0.5222,
      0.4906,
      0.3329,
      0.4097,
      0.3737,
      0.4845,
      0.4143,
      0.4021,
      0.3194,
      0.4424,
      0.3899,
      0.5315,
      0.4375,
      0.45,
      0.5097,
      0.3433,
      0.422,
      0.4922,
      0.3837,
      0.4708,
      0.3824,
      0.5369,
      0.4394,
      0.2638,
      0.4059,
      0.4758,
      0.4556,
      0.5579,
      0.3835,
      0.4445,
      0.2422,
      0.3567,
      0.2441,
      0.2818,
      0.3914,
      0.1207,
      0.2729,
      0.3854,
      0.2178,
      0.351,
      0.179,
      0.0792,
      0.009,
      0.0673,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2612,
      0.2868,
      0.2465,
      0.2951,
      0.143,
      0.1304,
      0,
      0.2954,
      0.3767,
      0.26,
      0.1432,
      0.1646,
      0.2403,
      0.2314,
      0.3755,
      0.2524,
      0.3507,
      0.1475,
      0.053,
      0.2782,
      0,
      0.073,
      0,
      0.2083,
      0.4312,
      0.1902,
      0.4112,
      0.1499,
      0.253,
      0.3711,
      0.3479,
      0.3394,
      0.383,
      0.3653,
      0.4953,
      0.5893,
      0.6659,
      0.4363,
      0.3623,
      0.1725,
      0.2089,
      0.1941,
      0.357,
      0.5694,
      0.4038,
      0.4378,
      0.3045,
      0.326,
      0.3207,
      0.4924,
      0.3206,
      0.2889,
      0.3409,
      0.4744,
      0.4359,
      0.3503,
      0.2276,
      0.1486,
      0.3177,
      0.5495,
      0.3515,
      0.4124,
      0.3612,
      0.2472,
      0.4911,
      0.4963,
      0.4277,
      0.5012,
      0.434,
      0.1943,
      0.343,
      0.3442,
      0.3392,
      0.3958,
      0.4215,
      0.1988,
      0.335,
      0.5369,
      0.5266,
      0.2517,
      0.5442,
      0.6094,
      0.2558,
      0.2878,
      0.3859,
      0.2739,
      0.256,
      0.2823,
      0.24,
      0.4315,
      0.3105,
      0.6051,
      0.4296,
      0.5028,
      0.4654,
      0.3865,
      0.415,
      0.42,
      0.3122,
      0.3924,
      0.2953,
      0.3388,
      0.1841,
      0.498,
      0.4567,
      0.3647,
      0.2191,
      0.1723,
      0.2327,
      0.4235,
      0.2875,
      0.3904,
      0.202,
      0.4502,
      0.4586,
      0.4287,
      0.5351,
      0.2298,
      0.3897,
      0.2163,
      0.3385,
      0.3989,
      0.3993,
      0.3262,
      0.2957,
      0.3996,
      0.4704,
      0.5293,
      0.4884,
      0.4672,
      0.2869,
      0.5549,
      0.3644,
      0.3768,
      0.3102,
      0.1513,
      0.4651,
      0.5481,
      0.3626,
      0.4364,
      0.3722,
      0.3395,
      0.5687,
      0.3664,
      0.2839,
      0.5539,
      0.3855,
      0.4221,
      0.4107,
      0.4284,
      0.3776,
      0.325,
      0.2666,
      0.3245,
      0.3453,
      0.3647,
      0.3458,
      0.2967,
      0.3772,
      0.3891,
      0.463,
      0.5228,
      0.3964,
      0.2978,
      0.5524,
      0.2229,
      0.3448,
      0.5538,
      0.3223,
      0.5261,
      0.5372,
      0.4202,
      0.4702,
      0.6018,
      0.556,
      0.394,
      0.5831,
      0.4233,
      0.307,
      0.3544,
      0.3188,
      0.4456,
      0.3377,
      0.3439,
      0.2803,
      0.4933,
      0.465,
      0.4844,
      0.4814,
      0.337,
      0.4248,
      0.4422,
      0.3988,
      0.2345,
      0.3168,
      0.3558,
      0.3158,
      0.4621,
      0.1675,
      0.4069,
      0.3907,
      0.446,
      0.3959,
      0.5305,
      0.6853,
      0.2709,
      0.4286,
      0.4909,
      0.2182,
      0.32,
      0.2337,
      0.4573,
      0.5898,
      0.4129,
      0.3354,
      0.4012,
      0.1463,
      0.1835,
      0.3278,
      0.4479,
      0.4029,
      0.4319,
      0.3296,
      0.3498,
      0.404,
      0.4541,
      0.5104,
      0.2843,
      0.4154,
      0.452,
      0.4133,
      0.3568,
      0.4659,
      0.51,
      0.4242,
      0.4806,
      0.4933,
      0.5142,
      0.5177,
      0.5736,
      0.4292,
      0.5103,
      0.2688,
      0.427,
      0.3589,
      0.4264,
      0.6038,
      0.3127,
      0.3782,
      0.4714,
      0.5384,
      0.4463,
      0.4115,
      0.4506,
      0.3748,
      0.3769,
      0.3674,
      0.4093,
      0.302,
      0.5056,
      0.3536,
      0.4591,
      0.465,
      0.4589,
      0.4465,
      0.3695,
      0.4327,
      0.4148,
      0.511,
      0.4089,
      0.4065,
      0.517,
      0.5182,
      0.3274,
      0.4667,
      0.5101,
      0.478,
      0.5951,
      0.3691,
      0.4249,
      0.2852,
      0.392,
      0.2804,
      0.3277,
      0.3318,
      0.1632,
      0.2996,
      0.3777,
      0.2241,
      0.3042,
      0.1909,
      0.1052,
      0.0524,
      0.0633,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2449,
      0.449,
      0.3039,
      0.4381,
      0.1477,
      0.176,
      0.0108,
      0.3047,
      0.3133,
      0.2294,
      0.1249,
      0.1386,
      0.1533,
      0.2584,
      0.481,
      0.3248,
      0.3139,
      0.1975,
      0.025,
      0.3428,
      0.0612,
      0.0597,
      0,
      0.1526,
      0.36,
      0.0931,
      0.4384,
      0.2165,
      0.3307,
      0.3848,
      0.2887,
      0.3651,
      0.3582,
      0.3304,
      0.5154,
      0.4814,
      0.4643,
      0.4769,
      0.5216,
      0.3158,
      0.2993,
      0.1601,
      0.4073,
      0.5431,
      0.3399,
      0.4459,
      0.322,
      0.2886,
      0.364,
      0.3096,
      0.386,
      0.2747,
      0.5035,
      0.4957,
      0.4338,
      0.4663,
      0.3066,
      0.2151,
      0.3151,
      0.3793,
      0.3531,
      0.319,
      0.4469,
      0.1269,
      0.4902,
      0.6388,
      0.6518,
      0.6042,
      0.4371,
      0.2719,
      0.3911,
      0.2307,
      0.2939,
      0.3383,
      0.1709,
      0.1824,
      0.3015,
      0.5263,
      0.3923,
      0.3557,
      0.5059,
      0.3876,
      0.3309,
      0.2632,
      0.4261,
      0.2943,
      0.1822,
      0.3217,
      0.2867,
      0.3958,
      0.3938,
      0.473,
      0.4458,
      0.5384,
      0.438,
      0.3914,
      0.4008,
      0.3931,
      0.408,
      0.2936,
      0.2816,
      0.2391,
      0.2187,
      0.4572,
      0.4827,
      0.4165,
      0.267,
      0.2083,
      0.3663,
      0.3159,
      0.3052,
      0.2405,
      0.2003,
      0.5532,
      0.5187,
      0.4874,
      0.4809,
      0.3639,
      0.3078,
      0.2194,
      0.4051,
      0.412,
      0.4752,
      0.3343,
      0.3833,
      0.3939,
      0.4574,
      0.4914,
      0.5299,
      0.5572,
      0.2652,
      0.4564,
      0.3607,
      0.3749,
      0.3298,
      0.1592,
      0.3213,
      0.4955,
      0.2727,
      0.402,
      0.3314,
      0.3772,
      0.5001,
      0.3001,
      0.3235,
      0.478,
      0.457,
      0.4495,
      0.4354,
      0.4868,
      0.4387,
      0.3921,
      0.3415,
      0.4678,
      0.2473,
      0.3314,
      0.4105,
      0.2599,
      0.4341,
      0.4227,
      0.4992,
      0.5119,
      0.4555,
      0.4055,
      0.5831,
      0.2834,
      0.3334,
      0.4384,
      0.2735,
      0.5139,
      0.5253,
      0.4677,
      0.4815,
      0.6131,
      0.4857,
      0.5166,
      0.5482,
      0.4042,
      0.3531,
      0.4179,
      0.3419,
      0.556,
      0.3055,
      0.3563,
      0.2594,
      0.2801,
      0.4433,
      0.5269,
      0.4806,
      0.3318,
      0.4066,
      0.4069,
      0.3635,
      0.2503,
      0.3605,
      0.276,
      0.2506,
      0.4825,
      0.1476,
      0.5812,
      0.3934,
      0.4397,
      0.3865,
      0.5523,
      0.5215,
      0.3483,
      0.3674,
      0.5161,
      0.2735,
      0.3225,
      0.2885,
      0.3968,
      0.6129,
      0.4293,
      0.3555,
      0.3636,
      0.2456,
      0.2245,
      0.387,
      0.539,
      0.5337,
      0.472,
      0.4865,
      0.363,
      0.4474,
      0.509,
      0.5431,
      0.2918,
      0.5065,
      0.4379,
      0.4485,
      0.5058,
      0.5915,
      0.5695,
      0.4475,
      0.3341,
      0.5709,
      0.5042,
      0.5569,
      0.5886,
      0.5344,
      0.4886,
      0.3207,
      0.3711,
      0.4361,
      0.4393,
      0.5326,
      0.3027,
      0.5136,
      0.4852,
      0.5224,
      0.4563,
      0.5175,
      0.4331,
      0.3621,
      0.2863,
      0.3447,
      0.4281,
      0.3949,
      0.4555,
      0.4269,
      0.5218,
      0.5054,
      0.4757,
      0.5259,
      0.4689,
      0.4256,
      0.4802,
      0.4666,
      0.3206,
      0.4295,
      0.5487,
      0.4803,
      0.352,
      0.4571,
      0.5303,
      0.4717,
      0.5658,
      0.4354,
      0.4344,
      0.2211,
      0.4277,
      0.2459,
      0.3635,
      0.3104,
      0.2381,
      0.3223,
      0.3352,
      0.2856,
      0.1919,
      0.1515,
      0,
      0.037,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3156,
      0.3089,
      0.2984,
      0.3576,
      0.0896,
      0.1633,
      0.0405,
      0.2974,
      0.306,
      0.2345,
      0.1033,
      0.1177,
      0.2141,
      0.1819,
      0.5125,
      0.2204,
      0.2745,
      0.1275,
      0.0555,
      0.2767,
      0,
      0.0687,
      0,
      0.1374,
      0.4281,
      0.1846,
      0.4374,
      0.1671,
      0.2202,
      0.4108,
      0.3899,
      0.3171,
      0.3392,
      0.3589,
      0.4652,
      0.4116,
      0.3485,
      0.4829,
      0.6093,
      0.4191,
      0.3198,
      0.1216,
      0.4391,
      0.5352,
      0.2663,
      0.3768,
      0.2485,
      0.3194,
      0.4441,
      0.2562,
      0.3783,
      0.262,
      0.6463,
      0.597,
      0.4499,
      0.4033,
      0.1682,
      0.1406,
      0.3302,
      0.3506,
      0.3089,
      0.2119,
      0.5043,
      0.2378,
      0.4633,
      0.5297,
      0.5162,
      0.4798,
      0.4432,
      0.3078,
      0.3981,
      0.3161,
      0.2936,
      0.3599,
      0.2644,
      0.3944,
      0.3913,
      0.5218,
      0.3711,
      0.4839,
      0.555,
      0.3768,
      0.2371,
      0.3044,
      0.4706,
      0.2681,
      0.2969,
      0.4489,
      0.2801,
      0.4123,
      0.3073,
      0.502,
      0.3941,
      0.5165,
      0.4756,
      0.3978,
      0.4375,
      0.3758,
      0.4034,
      0.3306,
      0.2767,
      0.5623,
      0.2508,
      0.4689,
      0.5998,
      0.2682,
      0.2146,
      0.1984,
      0.4262,
      0.3459,
      0.3125,
      0.2364,
      0.1549,
      0.4673,
      0.5142,
      0.4105,
      0.5208,
      0.2489,
      0.3905,
      0.2696,
      0.3739,
      0.369,
      0.4805,
      0.2776,
      0.3362,
      0.3307,
      0.4399,
      0.4466,
      0.6575,
      0.5269,
      0.3078,
      0.284,
      0.3294,
      0.3231,
      0.3163,
      0.2357,
      0.3879,
      0.5263,
      0.3573,
      0.4395,
      0.2276,
      0.5303,
      0.4033,
      0.3837,
      0.313,
      0.5477,
      0.5278,
      0.4677,
      0.4775,
      0.357,
      0.3741,
      0.3845,
      0.2521,
      0.3097,
      0.1911,
      0.2739,
      0.3451,
      0.3698,
      0.4696,
      0.4069,
      0.5385,
      0.4777,
      0.4774,
      0.4087,
      0.4913,
      0.2405,
      0.3506,
      0.4438,
      0.3331,
      0.4536,
      0.4581,
      0.4677,
      0.3984,
      0.4615,
      0.519,
      0.5256,
      0.5711,
      0.3713,
      0.3171,
      0.2968,
      0.263,
      0.5204,
      0.3046,
      0.2566,
      0.2554,
      0.2814,
      0.4541,
      0.4697,
      0.5021,
      0.3957,
      0.4512,
      0.5872,
      0.3498,
      0.1962,
      0.4454,
      0.3106,
      0.3951,
      0.4515,
      0.2561,
      0.4866,
      0.4415,
      0.4563,
      0.4229,
      0.4287,
      0.395,
      0.3986,
      0.3641,
      0.5126,
      0.3637,
      0.3306,
      0.453,
      0.385,
      0.6139,
      0.381,
      0.2826,
      0.3259,
      0.2744,
      0.3458,
      0.1881,
      0.4518,
      0.3593,
      0.3987,
      0.5416,
      0.3545,
      0.3461,
      0.4742,
      0.5194,
      0.2613,
      0.6103,
      0.4085,
      0.4051,
      0.4925,
      0.5081,
      0.5005,
      0.4741,
      0.3318,
      0.524,
      0.5489,
      0.534,
      0.5192,
      0.5026,
      0.5163,
      0.3262,
      0.343,
      0.4911,
      0.4593,
      0.4886,
      0.3247,
      0.6861,
      0.5256,
      0.5499,
      0.4287,
      0.4386,
      0.4289,
      0.3889,
      0.3231,
      0.439,
      0.4103,
      0.3766,
      0.5323,
      0.6002,
      0.5082,
      0.5427,
      0.5201,
      0.5778,
      0.4397,
      0.4451,
      0.4588,
      0.4638,
      0.3485,
      0.3642,
      0.4439,
      0.4216,
      0.2875,
      0.3993,
      0.4795,
      0.3696,
      0.5054,
      0.359,
      0.4184,
      0.2273,
      0.3703,
      0.1826,
      0.2647,
      0.2625,
      0.2339,
      0.3015,
      0.3034,
      0.219,
      0.3139,
      0.0832,
      0,
      0.1402,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2894,
      0.2895,
      0.2232,
      0.3903,
      0.0635,
      0.1951,
      0.0725,
      0.2209,
      0.2782,
      0.227,
      0.0848,
      0.146,
      0.3464,
      0.2797,
      0.3804,
      0.2428,
      0.2605,
      0.0942,
      0.0463,
      0.3674,
      0,
      0.0326,
      0,
      0.0699,
      0.3505,
      0.1283,
      0.4004,
      0.1138,
      0.2697,
      0.4163,
      0.4077,
      0.3307,
      0.413,
      0.3648,
      0.4957,
      0.4262,
      0.5215,
      0.5812,
      0.4126,
      0.4039,
      0.4693,
      0.1451,
      0.3712,
      0.5322,
      0.229,
      0.3219,
      0.2577,
      0.3443,
      0.4224,
      0.1133,
      0.3338,
      0.1919,
      0.3219,
      0.3014,
      0.3387,
      0.3297,
      0.1745,
      0.1479,
      0.3604,
      0.2624,
      0.312,
      0.207,
      0.5006,
      0.2082,
      0.4123,
      0.5329,
      0.3761,
      0.5743,
      0.5278,
      0.2451,
      0.4137,
      0.2809,
      0.2964,
      0.317,
      0.2378,
      0.348,
      0.2551,
      0.4597,
      0.3889,
      0.3365,
      0.5437,
      0.3613,
      0.2943,
      0.3459,
      0.4782,
      0.2878,
      0.3985,
      0.167,
      0.2171,
      0.4002,
      0.3534,
      0.501,
      0.5013,
      0.4579,
      0.4625,
      0.328,
      0.4546,
      0.3586,
      0.3563,
      0.3884,
      0.3012,
      0.6467,
      0.2326,
      0.4413,
      0.3776,
      0.2315,
      0.273,
      0.158,
      0.2206,
      0.4,
      0.2845,
      0.1552,
      0.172,
      0.3538,
      0.5229,
      0.3079,
      0.565,
      0.3169,
      0.3175,
      0.2451,
      0.3161,
      0.4158,
      0.4681,
      0.2438,
      0.3084,
      0.2496,
      0.4423,
      0.4481,
      0.4752,
      0.6152,
      0.3731,
      0.2775,
      0.2698,
      0.2996,
      0.2666,
      0.213,
      0.3988,
      0.479,
      0.2742,
      0.4229,
      0.2916,
      0.734,
      0.3788,
      0.4694,
      0.3098,
      0.5116,
      0.6077,
      0.4713,
      0.4192,
      0.3966,
      0.2965,
      0.3433,
      0.1899,
      0.2625,
      0.2397,
      0.3513,
      0.3934,
      0.3038,
      0.5142,
      0.4314,
      0.5832,
      0.5236,
      0.3689,
      0.3435,
      0.3222,
      0.1829,
      0.4464,
      0.3476,
      0.3248,
      0.3599,
      0.3209,
      0.4424,
      0.3181,
      0.5109,
      0.5097,
      0.4286,
      0.7006,
      0.4909,
      0.2653,
      0.3208,
      0.2717,
      0.3277,
      0.3384,
      0.3353,
      0.2345,
      0.1946,
      0.4601,
      0.4086,
      0.5348,
      0.5586,
      0.4497,
      0.4799,
      0.274,
      0.3005,
      0.3543,
      0.2404,
      0.3704,
      0.475,
      0.3187,
      0.6256,
      0.3262,
      0.4841,
      0.3977,
      0.5098,
      0.2943,
      0.4104,
      0.3061,
      0.5177,
      0.3209,
      0.3353,
      0.431,
      0.3465,
      0.4869,
      0.2698,
      0.2957,
      0.2954,
      0.3055,
      0.2997,
      0.2422,
      0.4049,
      0.4181,
      0.3421,
      0.3763,
      0.4195,
      0.3319,
      0.4838,
      0.4943,
      0.2629,
      0.5805,
      0.2653,
      0.4259,
      0.3562,
      0.4437,
      0.409,
      0.3696,
      0.302,
      0.5,
      0.6774,
      0.5464,
      0.5354,
      0.3968,
      0.5157,
      0.4942,
      0.4038,
      0.6846,
      0.4225,
      0.4708,
      0.3606,
      0.7097,
      0.6171,
      0.5165,
      0.4266,
      0.405,
      0.5432,
      0.3901,
      0.3302,
      0.3491,
      0.4089,
      0.4141,
      0.5269,
      0.588,
      0.5728,
      0.5015,
      0.4838,
      0.5244,
      0.5159,
      0.4347,
      0.6139,
      0.4762,
      0.3195,
      0.4604,
      0.4039,
      0.2366,
      0.3382,
      0.4123,
      0.4201,
      0.4651,
      0.475,
      0.3457,
      0.3645,
      0.2649,
      0.2681,
      0.1833,
      0.259,
      0.3166,
      0.1956,
      0.3403,
      0.2288,
      0.2092,
      0.3286,
      0.14,
      0.016,
      0.1617,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3398,
      0.3286,
      0.1147,
      0.2782,
      0.0745,
      0.1515,
      0,
      0.2645,
      0.1866,
      0.2343,
      0.0599,
      0.1261,
      0.1635,
      0.2552,
      0.3307,
      0.1821,
      0.1906,
      0.1355,
      0,
      0.3014,
      0,
      0.0538,
      0,
      0.1508,
      0.3801,
      0.1669,
      0.3988,
      0.055,
      0.2806,
      0.3768,
      0.3081,
      0.3572,
      0.3143,
      0.3395,
      0.3882,
      0.4368,
      0.4288,
      0.4072,
      0.2993,
      0.3476,
      0.4574,
      0.0665,
      0.3405,
      0.5115,
      0.253,
      0.3956,
      0.2709,
      0.2922,
      0.2698,
      0.2272,
      0.3381,
      0.3176,
      0.2461,
      0.3193,
      0.4149,
      0.3243,
      0.1374,
      0.1289,
      0.3485,
      0.2888,
      0.2667,
      0.2461,
      0.403,
      0.3017,
      0.3726,
      0.4514,
      0.3698,
      0.489,
      0.3881,
      0.2155,
      0.4088,
      0.3234,
      0.294,
      0.2848,
      0.1297,
      0.2149,
      0.2092,
      0.4882,
      0.4005,
      0.3196,
      0.51,
      0.3485,
      0.2965,
      0.3107,
      0.3124,
      0.2806,
      0.197,
      0.2244,
      0.2714,
      0.3003,
      0.3366,
      0.4914,
      0.439,
      0.4239,
      0.5108,
      0.3626,
      0.4163,
      0.3996,
      0.3421,
      0.4168,
      0.3041,
      0.254,
      0.1902,
      0.4568,
      0.3847,
      0.296,
      0.2272,
      0.1635,
      0.2178,
      0.4004,
      0.2828,
      0.2473,
      0.1608,
      0.44,
      0.5215,
      0.3769,
      0.4879,
      0.2433,
      0.3002,
      0.2884,
      0.3278,
      0.4222,
      0.3128,
      0.2473,
      0.3174,
      0.2077,
      0.4217,
      0.5038,
      0.3961,
      0.4317,
      0.2862,
      0.1993,
      0.3193,
      0.3537,
      0.3526,
      0.2241,
      0.3771,
      0.4948,
      0.3203,
      0.3336,
      0.3827,
      0.6131,
      0.3892,
      0.5076,
      0.3226,
      0.4367,
      0.3032,
      0.3925,
      0.4624,
      0.3997,
      0.3608,
      0.3637,
      0.1572,
      0.278,
      0.3918,
      0.3538,
      0.3369,
      0.3286,
      0.3701,
      0.4574,
      0.554,
      0.6073,
      0.4281,
      0.3533,
      0.3132,
      0.2756,
      0.3691,
      0.3847,
      0.3448,
      0.3258,
      0.3008,
      0.3926,
      0.3492,
      0.5048,
      0.5064,
      0.3289,
      0.6416,
      0.3761,
      0.3465,
      0.2798,
      0.2193,
      0.3244,
      0.262,
      0.3434,
      0.2583,
      0.1938,
      0.4653,
      0.4528,
      0.4413,
      0.6071,
      0.3574,
      0.39,
      0.3111,
      0.2835,
      0.3475,
      0.3208,
      0.3086,
      0.5122,
      0.2567,
      0.5745,
      0.3594,
      0.412,
      0.2963,
      0.468,
      0.3493,
      0.3782,
      0.3504,
      0.4577,
      0.2274,
      0.3179,
      0.3872,
      0.383,
      0.4864,
      0.3544,
      0.2666,
      0.309,
      0.2505,
      0.2805,
      0.2803,
      0.3363,
      0.3854,
      0.3168,
      0.2964,
      0.3107,
      0.3337,
      0.3905,
      0.4759,
      0.3123,
      0.4546,
      0.3492,
      0.3956,
      0.2978,
      0.3827,
      0.4565,
      0.3691,
      0.2811,
      0.3942,
      0.5582,
      0.5048,
      0.5501,
      0.39,
      0.4603,
      0.5187,
      0.4414,
      0.6955,
      0.563,
      0.4817,
      0.3476,
      0.6752,
      0.6336,
      0.5929,
      0.4117,
      0.4001,
      0.4369,
      0.3701,
      0.3624,
      0.3779,
      0.4384,
      0.3685,
      0.4549,
      0.5743,
      0.4936,
      0.4919,
      0.4319,
      0.4509,
      0.4252,
      0.5646,
      0.4386,
      0.4936,
      0.4617,
      0.3224,
      0.4086,
      0.2471,
      0.3071,
      0.3742,
      0.4493,
      0.4896,
      0.4469,
      0.3532,
      0.365,
      0.3077,
      0.33,
      0.2253,
      0.2991,
      0.3594,
      0.1863,
      0.2813,
      0.2254,
      0.1762,
      0.3062,
      0.0974,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.27,
      0.3162,
      0.1585,
      0.1962,
      0.0652,
      0.1217,
      0,
      0.3589,
      0.2402,
      0.2391,
      0.0757,
      0.1518,
      0.1349,
      0.3837,
      0.4012,
      0.2591,
      0.1902,
      0.1017,
      0,
      0.2137,
      0,
      0.0305,
      0,
      0.1375,
      0.449,
      0.1588,
      0.4325,
      0.1544,
      0.1603,
      0.4099,
      0.4889,
      0.3602,
      0.3144,
      0.3411,
      0.4906,
      0.4774,
      0.3065,
      0.4134,
      0.344,
      0.3259,
      0.2887,
      0.048,
      0.4385,
      0.5318,
      0.3064,
      0.4643,
      0.1964,
      0.3056,
      0.3263,
      0.255,
      0.4045,
      0.2803,
      0.3321,
      0.4381,
      0.452,
      0.4281,
      0.193,
      0.1516,
      0.3157,
      0.3034,
      0.2594,
      0.1956,
      0.2847,
      0.3313,
      0.5402,
      0.4567,
      0.3062,
      0.4834,
      0.4579,
      0.2848,
      0.4065,
      0.2768,
      0.3291,
      0.3393,
      0.1358,
      0.2105,
      0.2153,
      0.4955,
      0.3896,
      0.3117,
      0.3613,
      0.3821,
      0.3547,
      0.357,
      0.2719,
      0.2982,
      0.2479,
      0.1883,
      0.1885,
      0.3738,
      0.2695,
      0.4467,
      0.4445,
      0.4016,
      0.511,
      0.3605,
      0.4121,
      0.4316,
      0.3432,
      0.4064,
      0.448,
      0.295,
      0.1322,
      0.5382,
      0.4103,
      0.3124,
      0.252,
      0.1297,
      0.1956,
      0.3498,
      0.302,
      0.2685,
      0.1545,
      0.4874,
      0.4459,
      0.3735,
      0.5743,
      0.3401,
      0.2836,
      0.2653,
      0.2865,
      0.4228,
      0.3544,
      0.2418,
      0.3219,
      0.2087,
      0.4464,
      0.547,
      0.399,
      0.4464,
      0.332,
      0.3033,
      0.2802,
      0.347,
      0.3383,
      0.2499,
      0.482,
      0.5487,
      0.3623,
      0.4196,
      0.3375,
      0.419,
      0.3803,
      0.4767,
      0.3392,
      0.5513,
      0.2416,
      0.2983,
      0.4076,
      0.4312,
      0.3381,
      0.2651,
      0.0944,
      0.2648,
      0.2645,
      0.3335,
      0.2337,
      0.3226,
      0.4971,
      0.4287,
      0.4626,
      0.5301,
      0.4472,
      0.3627,
      0.3705,
      0.1955,
      0.3537,
      0.353,
      0.4369,
      0.3828,
      0.3964,
      0.2687,
      0.3158,
      0.4773,
      0.5209,
      0.417,
      0.6102,
      0.3656,
      0.3264,
      0.3102,
      0.3297,
      0.3269,
      0.3867,
      0.3801,
      0.2055,
      0.2296,
      0.4024,
      0.476,
      0.5455,
      0.5886,
      0.4772,
      0.4221,
      0.3678,
      0.2961,
      0.3574,
      0.3282,
      0.296,
      0.3917,
      0.2112,
      0.458,
      0.3392,
      0.4777,
      0.3933,
      0.3598,
      0.2862,
      0.356,
      0.3418,
      0.4921,
      0.2738,
      0.335,
      0.2479,
      0.3651,
      0.5658,
      0.3444,
      0.267,
      0.1924,
      0.1992,
      0.2663,
      0.2786,
      0.3533,
      0.4419,
      0.4646,
      0.286,
      0.2465,
      0.391,
      0.4973,
      0.4982,
      0.2369,
      0.3574,
      0.4194,
      0.4394,
      0.4814,
      0.5119,
      0.509,
      0.4623,
      0.3793,
      0.5567,
      0.4293,
      0.4773,
      0.4678,
      0.4041,
      0.4724,
      0.3907,
      0.3916,
      0.4517,
      0.6874,
      0.5024,
      0.3767,
      0.5255,
      0.6252,
      0.4831,
      0.4467,
      0.4416,
      0.3622,
      0.4342,
      0.3596,
      0.3715,
      0.4429,
      0.4185,
      0.3685,
      0.4992,
      0.4686,
      0.5611,
      0.3812,
      0.4983,
      0.4158,
      0.6539,
      0.4251,
      0.4742,
      0.3352,
      0.4324,
      0.3606,
      0.3801,
      0.248,
      0.4875,
      0.3751,
      0.4928,
      0.4292,
      0.428,
      0.4138,
      0.3577,
      0.3206,
      0.2221,
      0.3203,
      0.4345,
      0.2721,
      0.222,
      0.1989,
      0.2797,
      0.2874,
      0.1018,
      0,
      0.0026,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3014,
      0.2638,
      0.0822,
      0.288,
      0.0274,
      0.099,
      0.0025,
      0.248,
      0.28,
      0.2973,
      0.0787,
      0.0993,
      0.0216,
      0.3604,
      0.3211,
      0.2253,
      0.2621,
      0.0199,
      0,
      0.385,
      0.0211,
      0.0124,
      0,
      0.1756,
      0.4081,
      0.1976,
      0.4866,
      0.1521,
      0.2015,
      0.4207,
      0.467,
      0.4612,
      0.3665,
      0.349,
      0.5304,
      0.4314,
      0.3655,
      0.3549,
      0.342,
      0.3394,
      0.3203,
      0.1785,
      0.3017,
      0.485,
      0.488,
      0.3476,
      0.2733,
      0.3175,
      0.2794,
      0.2695,
      0.2964,
      0.2518,
      0.3688,
      0.4396,
      0.3542,
      0.3804,
      0.1581,
      0.1259,
      0.3039,
      0.3972,
      0.2881,
      0.1933,
      0.142,
      0.3259,
      0.4701,
      0.5574,
      0.3304,
      0.384,
      0.5392,
      0.2736,
      0.4015,
      0.3501,
      0.2066,
      0.2979,
      0.1758,
      0.1448,
      0.2353,
      0.399,
      0.4401,
      0.2982,
      0.4286,
      0.3678,
      0.37,
      0.2625,
      0.3104,
      0.2171,
      0.2226,
      0.4154,
      0.1973,
      0.2794,
      0.2088,
      0.5281,
      0.4773,
      0.477,
      0.4967,
      0.3301,
      0.3732,
      0.4601,
      0.388,
      0.3157,
      0.2889,
      0.1777,
      0.1724,
      0.4793,
      0.3886,
      0.2723,
      0.1421,
      0.2114,
      0.268,
      0.423,
      0.2265,
      0.2906,
      0.1868,
      0.4019,
      0.5031,
      0.3098,
      0.5086,
      0.256,
      0.2718,
      0.2076,
      0.2101,
      0.3783,
      0.3647,
      0.2542,
      0.3239,
      0.2203,
      0.4683,
      0.5256,
      0.4362,
      0.3411,
      0.3061,
      0.2641,
      0.3538,
      0.334,
      0.3343,
      0.2059,
      0.378,
      0.5091,
      0.3022,
      0.4051,
      0.4388,
      0.2781,
      0.4547,
      0.4157,
      0.2644,
      0.5654,
      0.2137,
      0.3921,
      0.4117,
      0.381,
      0.2867,
      0.2762,
      0.1655,
      0.3281,
      0.2228,
      0.363,
      0.2969,
      0.3395,
      0.5115,
      0.4363,
      0.495,
      0.4646,
      0.5109,
      0.4442,
      0.3385,
      0.1936,
      0.3701,
      0.4042,
      0.4635,
      0.3626,
      0.443,
      0.3021,
      0.3565,
      0.5112,
      0.5157,
      0.2931,
      0.6142,
      0.379,
      0.2762,
      0.4039,
      0.2872,
      0.3453,
      0.3792,
      0.2911,
      0.2746,
      0.1841,
      0.3555,
      0.5367,
      0.5368,
      0.4023,
      0.5402,
      0.4571,
      0.3717,
      0.276,
      0.4025,
      0.3286,
      0.3596,
      0.4755,
      0.227,
      0.4365,
      0.3028,
      0.4555,
      0.3684,
      0.5015,
      0.2935,
      0.3408,
      0.3814,
      0.5061,
      0.2528,
      0.3685,
      0.2272,
      0.3523,
      0.5308,
      0.3462,
      0.2942,
      0.2024,
      0.2107,
      0.2054,
      0.2769,
      0.2169,
      0.3083,
      0.3307,
      0.2327,
      0.1907,
      0.469,
      0.4243,
      0.4466,
      0.2907,
      0.2958,
      0.3093,
      0.3697,
      0.4011,
      0.3584,
      0.4331,
      0.3125,
      0.3773,
      0.4328,
      0.4532,
      0.4657,
      0.524,
      0.3871,
      0.5106,
      0.3187,
      0.4584,
      0.4241,
      0.6674,
      0.547,
      0.3313,
      0.4132,
      0.4417,
      0.5153,
      0.4616,
      0.2666,
      0.3648,
      0.3113,
      0.3035,
      0.4356,
      0.5029,
      0.3826,
      0.5631,
      0.4376,
      0.4991,
      0.4998,
      0.45,
      0.5467,
      0.2809,
      0.4786,
      0.4465,
      0.4142,
      0.3556,
      0.458,
      0.3662,
      0.3542,
      0.2742,
      0.3781,
      0.3215,
      0.4988,
      0.4208,
      0.3575,
      0.4405,
      0.276,
      0.2907,
      0.252,
      0.2371,
      0.4452,
      0.2094,
      0.2041,
      0.2286,
      0.1811,
      0.2176,
      0.1271,
      0.0394,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1998,
      0.2585,
      0.1321,
      0.2784,
      0.0825,
      0.0814,
      0.008,
      0.1727,
      0.1158,
      0.2789,
      0.0488,
      0.1639,
      0.0479,
      0.2976,
      0.3776,
      0.1877,
      0.2666,
      0.0367,
      0,
      0.3355,
      0,
      0.056,
      0,
      0.0976,
      0.3862,
      0.1754,
      0.4658,
      0.1651,
      0.2572,
      0.4333,
      0.4396,
      0.464,
      0.4538,
      0.3838,
      0.5062,
      0.5216,
      0.3391,
      0.4251,
      0.3766,
      0.3539,
      0.2772,
      0.2476,
      0.3551,
      0.5189,
      0.5251,
      0.474,
      0.3158,
      0.3591,
      0.3258,
      0.2698,
      0.3068,
      0.2518,
      0.3511,
      0.4126,
      0.3808,
      0.2474,
      0.154,
      0.0931,
      0.2894,
      0.3162,
      0.2393,
      0.2125,
      0.263,
      0.2922,
      0.5416,
      0.5663,
      0.4094,
      0.493,
      0.5044,
      0.2862,
      0.4413,
      0.37,
      0.2674,
      0.3138,
      0.1886,
      0.171,
      0.303,
      0.411,
      0.4619,
      0.2687,
      0.4303,
      0.3699,
      0.3284,
      0.2699,
      0.3326,
      0.2614,
      0.2273,
      0.1663,
      0.2563,
      0.4108,
      0.3299,
      0.5081,
      0.4497,
      0.4469,
      0.5805,
      0.3467,
      0.3558,
      0.4264,
      0.4013,
      0.4207,
      0.3168,
      0.2747,
      0.1985,
      0.4806,
      0.3921,
      0.2277,
      0.1498,
      0.1857,
      0.2938,
      0.3471,
      0.2887,
      0.2232,
      0.0883,
      0.3564,
      0.4112,
      0.2924,
      0.468,
      0.2895,
      0.421,
      0.2455,
      0.3109,
      0.3341,
      0.3827,
      0.2806,
      0.4567,
      0.2489,
      0.4538,
      0.5857,
      0.3309,
      0.3447,
      0.2808,
      0.2244,
      0.3208,
      0.3678,
      0.3742,
      0.251,
      0.2859,
      0.5138,
      0.3373,
      0.4667,
      0.4292,
      0.3222,
      0.5425,
      0.4321,
      0.3756,
      0.4951,
      0.2119,
      0.3438,
      0.4248,
      0.3785,
      0.3631,
      0.2955,
      0.257,
      0.2878,
      0.2711,
      0.2813,
      0.3329,
      0.2636,
      0.4974,
      0.4122,
      0.5508,
      0.4513,
      0.4721,
      0.4832,
      0.4346,
      0.2372,
      0.4156,
      0.5269,
      0.5508,
      0.3777,
      0.4281,
      0.3675,
      0.4087,
      0.521,
      0.5807,
      0.3964,
      0.604,
      0.3379,
      0.3345,
      0.4576,
      0.2504,
      0.3569,
      0.3885,
      0.3804,
      0.2209,
      0.3137,
      0.3888,
      0.4995,
      0.4835,
      0.3558,
      0.3979,
      0.4087,
      0.2829,
      0.3666,
      0.422,
      0.324,
      0.3839,
      0.4666,
      0.2433,
      0.4357,
      0.4113,
      0.4161,
      0.2738,
      0.4313,
      0.1912,
      0.4408,
      0.3119,
      0.5058,
      0.3202,
      0.2949,
      0.2129,
      0.3472,
      0.52,
      0.3587,
      0.2505,
      0.3095,
      0.2384,
      0.1625,
      0.2508,
      0.3028,
      0.3858,
      0.2757,
      0.372,
      0.2439,
      0.3667,
      0.4487,
      0.4141,
      0.267,
      0.2938,
      0.3557,
      0.3746,
      0.406,
      0.444,
      0.4516,
      0.3827,
      0.3685,
      0.4434,
      0.5064,
      0.4501,
      0.5713,
      0.34,
      0.4403,
      0.2872,
      0.4081,
      0.3441,
      0.4103,
      0.5629,
      0.276,
      0.395,
      0.4042,
      0.4966,
      0.5295,
      0.3431,
      0.3906,
      0.3504,
      0.3692,
      0.27,
      0.4708,
      0.3806,
      0.4991,
      0.4523,
      0.4135,
      0.493,
      0.4378,
      0.4861,
      0.4091,
      0.3842,
      0.4427,
      0.429,
      0.3336,
      0.343,
      0.2843,
      0.3195,
      0.3363,
      0.4146,
      0.4497,
      0.5002,
      0.4059,
      0.4694,
      0.4975,
      0.3254,
      0.335,
      0.2534,
      0.3326,
      0.4377,
      0.2295,
      0.1399,
      0.2895,
      0.2342,
      0.2496,
      0.2703,
      0.0365,
      0.0332,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1974,
      0.3148,
      0.1738,
      0.2927,
      0.0735,
      0.0441,
      0.0311,
      0.2817,
      0.1106,
      0.1844,
      0.1409,
      0.0882,
      0.0633,
      0.1666,
      0.3568,
      0.1258,
      0.0398,
      0.0191,
      0.0114,
      0.3493,
      0,
      0,
      0,
      0.1374,
      0.3526,
      0.2731,
      0.4202,
      0.1469,
      0.17,
      0.4276,
      0.4206,
      0.3118,
      0.3804,
      0.3731,
      0.571,
      0.566,
      0.3676,
      0.4708,
      0.397,
      0.324,
      0.3231,
      0.1992,
      0.2809,
      0.503,
      0.3504,
      0.4995,
      0.2874,
      0.3203,
      0.3272,
      0.4858,
      0.3264,
      0.2783,
      0.3092,
      0.4323,
      0.3507,
      0.3269,
      0.1237,
      0.1764,
      0.2914,
      0.2927,
      0.3142,
      0.227,
      0.3171,
      0.1756,
      0.5364,
      0.5606,
      0.4047,
      0.5213,
      0.468,
      0.3021,
      0.4042,
      0.3764,
      0.2997,
      0.3178,
      0.3428,
      0.2077,
      0.3221,
      0.4764,
      0.4609,
      0.2854,
      0.3447,
      0.4863,
      0.2349,
      0.367,
      0.373,
      0.2562,
      0.2187,
      0.236,
      0.2872,
      0.4622,
      0.362,
      0.5317,
      0.401,
      0.4544,
      0.3779,
      0.3568,
      0.3409,
      0.4325,
      0.3332,
      0.3841,
      0.1606,
      0.2791,
      0.189,
      0.5266,
      0.4409,
      0.2382,
      0.1829,
      0.1535,
      0.1628,
      0.3951,
      0.2846,
      0.2616,
      0.0925,
      0.4004,
      0.5246,
      0.3901,
      0.5145,
      0.2665,
      0.3713,
      0.2385,
      0.3573,
      0.4033,
      0.4318,
      0.3351,
      0.5463,
      0.2208,
      0.4176,
      0.5614,
      0.4408,
      0.2806,
      0.2939,
      0.3162,
      0.3759,
      0.4182,
      0.3087,
      0.2088,
      0.3206,
      0.5422,
      0.4087,
      0.4743,
      0.6472,
      0.2355,
      0.543,
      0.4285,
      0.3193,
      0.4593,
      0.1513,
      0.3666,
      0.488,
      0.3784,
      0.3204,
      0.2786,
      0.2579,
      0.2525,
      0.2559,
      0.3734,
      0.3418,
      0.3524,
      0.5229,
      0.4208,
      0.5232,
      0.308,
      0.5039,
      0.4028,
      0.4344,
      0.1813,
      0.3709,
      0.5291,
      0.6197,
      0.2896,
      0.3254,
      0.4134,
      0.466,
      0.5539,
      0.5988,
      0.3649,
      0.5363,
      0.2642,
      0.3503,
      0.4204,
      0.2827,
      0.3124,
      0.3084,
      0.2637,
      0.2373,
      0.3471,
      0.4541,
      0.5191,
      0.5325,
      0.3435,
      0.5078,
      0.4231,
      0.3177,
      0.3619,
      0.4078,
      0.3097,
      0.3323,
      0.4612,
      0.2223,
      0.4799,
      0.3553,
      0.498,
      0.3313,
      0.3459,
      0.3989,
      0.4095,
      0.3303,
      0.4815,
      0.2303,
      0.3325,
      0.2608,
      0.3369,
      0.5578,
      0.3422,
      0.2577,
      0.3415,
      0.2823,
      0.3477,
      0.2308,
      0.3502,
      0.4943,
      0.3886,
      0.397,
      0.3716,
      0.4709,
      0.4435,
      0.5895,
      0.251,
      0.3406,
      0.4281,
      0.434,
      0.4266,
      0.4974,
      0.4945,
      0.4916,
      0.409,
      0.5478,
      0.557,
      0.4752,
      0.5776,
      0.3429,
      0.5193,
      0.2793,
      0.3507,
      0.3168,
      0.4107,
      0.521,
      0.3173,
      0.3248,
      0.3458,
      0.5666,
      0.4671,
      0.3082,
      0.394,
      0.3772,
      0.3117,
      0.2411,
      0.4942,
      0.3929,
      0.5458,
      0.4628,
      0.5654,
      0.5364,
      0.3674,
      0.5316,
      0.3239,
      0.4622,
      0.4252,
      0.4619,
      0.4435,
      0.4152,
      0.4228,
      0.3681,
      0.2118,
      0.4137,
      0.4589,
      0.5281,
      0.4563,
      0.456,
      0.475,
      0.2792,
      0.2957,
      0.2726,
      0.2692,
      0.4321,
      0.2182,
      0.1502,
      0.2844,
      0.2226,
      0.3157,
      0.1168,
      0.0158,
      0.0093,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2365,
      0.305,
      0.0204,
      0.2613,
      0,
      0.0875,
      0.0212,
      0.2405,
      0.0371,
      0.2182,
      0.0807,
      0.0765,
      0.0775,
      0.2113,
      0.4084,
      0.1514,
      0.0216,
      0.1351,
      0.0048,
      0.3644,
      0,
      0,
      0,
      0.0993,
      0.3189,
      0.1896,
      0.3162,
      0.0437,
      0.1685,
      0.3936,
      0.384,
      0.343,
      0.3914,
      0.3861,
      0.5355,
      0.4647,
      0.3555,
      0.2988,
      0.4636,
      0.452,
      0.2894,
      0.1086,
      0.2391,
      0.5217,
      0.2849,
      0.3723,
      0.2609,
      0.3358,
      0.3253,
      0.5405,
      0.2686,
      0.2803,
      0.3274,
      0.4178,
      0.3385,
      0.2949,
      0.1367,
      0.0954,
      0.3121,
      0.31,
      0.2923,
      0.2228,
      0.3351,
      0.2493,
      0.5403,
      0.5341,
      0.3796,
      0.4877,
      0.3834,
      0.3251,
      0.3547,
      0.288,
      0.2681,
      0.3239,
      0.3425,
      0.2133,
      0.3307,
      0.4032,
      0.4617,
      0.3697,
      0.3994,
      0.4241,
      0.2314,
      0.3335,
      0.2881,
      0.2788,
      0.3454,
      0.2357,
      0.2753,
      0.461,
      0.3956,
      0.4585,
      0.4155,
      0.4163,
      0.3682,
      0.3026,
      0.3567,
      0.3761,
      0.3873,
      0.3524,
      0.1693,
      0.2347,
      0.2147,
      0.4543,
      0.326,
      0.2417,
      0.1774,
      0.1416,
      0.3617,
      0.4061,
      0.345,
      0.5315,
      0.1471,
      0.3901,
      0.482,
      0.4096,
      0.4971,
      0.1852,
      0.351,
      0.13,
      0.3754,
      0.4029,
      0.3455,
      0.2846,
      0.5855,
      0.223,
      0.4745,
      0.5654,
      0.445,
      0.3125,
      0.4468,
      0.2502,
      0.4402,
      0.3588,
      0.3352,
      0.1227,
      0.3487,
      0.5617,
      0.3899,
      0.4302,
      0.6297,
      0.2983,
      0.4797,
      0.3958,
      0.339,
      0.5639,
      0.233,
      0.3288,
      0.3566,
      0.364,
      0.2773,
      0.3779,
      0.3233,
      0.1958,
      0.2803,
      0.3083,
      0.2762,
      0.2995,
      0.484,
      0.4177,
      0.5943,
      0.4056,
      0.4259,
      0.3613,
      0.415,
      0.2,
      0.4081,
      0.4673,
      0.6588,
      0.2985,
      0.2862,
      0.2787,
      0.4362,
      0.4722,
      0.5595,
      0.3765,
      0.582,
      0.5114,
      0.3058,
      0.3794,
      0.285,
      0.3506,
      0.3205,
      0.3108,
      0.251,
      0.2598,
      0.4712,
      0.5126,
      0.4572,
      0.3208,
      0.4366,
      0.4273,
      0.2975,
      0.3491,
      0.4043,
      0.3363,
      0.3828,
      0.3761,
      0.3249,
      0.457,
      0.3041,
      0.4346,
      0.3364,
      0.3561,
      0.4686,
      0.4287,
      0.3528,
      0.4294,
      0.2226,
      0.3393,
      0.1924,
      0.2917,
      0.5664,
      0.2939,
      0.2596,
      0.3051,
      0.2218,
      0.2754,
      0.2438,
      0.3083,
      0.2568,
      0.2572,
      0.4613,
      0.2297,
      0.4645,
      0.5172,
      0.5026,
      0.3237,
      0.2527,
      0.3738,
      0.4009,
      0.3453,
      0.3329,
      0.3704,
      0.3574,
      0.4526,
      0.4709,
      0.4949,
      0.4433,
      0.5211,
      0.3825,
      0.4962,
      0.2504,
      0.4011,
      0.3015,
      0.4059,
      0.4642,
      0.2842,
      0.3516,
      0.2992,
      0.5848,
      0.4288,
      0.2668,
      0.4617,
      0.4092,
      0.3121,
      0.4355,
      0.3887,
      0.3818,
      0.5601,
      0.4441,
      0.46,
      0.5381,
      0.3428,
      0.4249,
      0.2772,
      0.4655,
      0.4654,
      0.4435,
      0.4184,
      0.3539,
      0.4633,
      0.3783,
      0.2879,
      0.46,
      0.3503,
      0.4959,
      0.5024,
      0.62,
      0.3991,
      0.3331,
      0.3192,
      0.1942,
      0.3109,
      0.3146,
      0.1889,
      0.1798,
      0.299,
      0.1771,
      0.3242,
      0.2299,
      0.0301,
      0,
      0.0382,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2378,
      0.276,
      0.1635,
      0.359,
      0.0369,
      0.1486,
      0,
      0.2282,
      0.0566,
      0.2449,
      0.027,
      0.2019,
      0.0473,
      0.1648,
      0.41,
      0.1342,
      0,
      0.0717,
      0,
      0.3399,
      0,
      0,
      0,
      0.1527,
      0.3211,
      0.1925,
      0.4084,
      0.1006,
      0.1629,
      0.4186,
      0.4281,
      0.3751,
      0.3642,
      0.3591,
      0.4876,
      0.3956,
      0.3448,
      0.456,
      0.4517,
      0.491,
      0.2787,
      0.1165,
      0.335,
      0.5358,
      0.3006,
      0.3629,
      0.2501,
      0.3711,
      0.3193,
      0.3263,
      0.2565,
      0.2342,
      0.3355,
      0.366,
      0.3357,
      0.2448,
      0.1391,
      0.0521,
      0.2996,
      0.2591,
      0.2779,
      0.1547,
      0.2921,
      0.2591,
      0.5118,
      0.5097,
      0.5082,
      0.3578,
      0.5316,
      0.2124,
      0.3234,
      0.3296,
      0.2114,
      0.316,
      0.1363,
      0.3794,
      0.3251,
      0.4031,
      0.3455,
      0.4025,
      0.3243,
      0.4137,
      0.2962,
      0.3126,
      0.3228,
      0.3056,
      0.2916,
      0.3895,
      0.2205,
      0.4495,
      0.3066,
      0.5659,
      0.4198,
      0.4994,
      0.4909,
      0.3944,
      0.3685,
      0.4112,
      0.6445,
      0.4118,
      0.2747,
      0.2055,
      0.1929,
      0.4892,
      0.3334,
      0.275,
      0.1704,
      0.1473,
      0.2968,
      0.3606,
      0.3541,
      0.3818,
      0.1826,
      0.3367,
      0.4712,
      0.3775,
      0.4296,
      0.2848,
      0.37,
      0.2318,
      0.3536,
      0.36,
      0.2603,
      0.1948,
      0.3292,
      0.3197,
      0.5136,
      0.5667,
      0.4529,
      0.2595,
      0.2856,
      0.4571,
      0.3911,
      0.3221,
      0.2222,
      0.1832,
      0.3298,
      0.4917,
      0.3887,
      0.3561,
      0.3668,
      0.321,
      0.4083,
      0.3964,
      0.3743,
      0.5079,
      0.1608,
      0.2984,
      0.4097,
      0.3194,
      0.3214,
      0.3888,
      0.1991,
      0.1855,
      0.2803,
      0.2981,
      0.2766,
      0.2638,
      0.3823,
      0.4417,
      0.5795,
      0.4037,
      0.4323,
      0.2921,
      0.537,
      0.2144,
      0.3949,
      0.4347,
      0.4143,
      0.2865,
      0.3292,
      0.3643,
      0.3599,
      0.5064,
      0.4908,
      0.4215,
      0.5407,
      0.3474,
      0.4598,
      0.2427,
      0.2959,
      0.3265,
      0.3638,
      0.3503,
      0.2949,
      0.2725,
      0.485,
      0.5414,
      0.5092,
      0.3163,
      0.3195,
      0.495,
      0.2794,
      0.261,
      0.3229,
      0.305,
      0.3896,
      0.4758,
      0.3431,
      0.4679,
      0.3284,
      0.4331,
      0.3525,
      0.2995,
      0.3386,
      0.4223,
      0.368,
      0.4913,
      0.3024,
      0.3116,
      0.2218,
      0.3029,
      0.5362,
      0.3205,
      0.3719,
      0.3415,
      0.2254,
      0.2334,
      0.1641,
      0.3304,
      0.2518,
      0.2867,
      0.3991,
      0.2398,
      0.3817,
      0.4588,
      0.4398,
      0.2841,
      0.3561,
      0.2985,
      0.3716,
      0.291,
      0.3483,
      0.2368,
      0.342,
      0.3667,
      0.4281,
      0.4928,
      0.4446,
      0.5434,
      0.3838,
      0.4817,
      0.2782,
      0.3806,
      0.4084,
      0.4036,
      0.3879,
      0.3224,
      0.3828,
      0.404,
      0.5904,
      0.4131,
      0.3905,
      0.4342,
      0.4338,
      0.3559,
      0.391,
      0.4574,
      0.3221,
      0.4643,
      0.42,
      0.4647,
      0.5328,
      0.4804,
      0.4932,
      0.3286,
      0.4745,
      0.4836,
      0.5203,
      0.4298,
      0.3629,
      0.3435,
      0.3809,
      0.3163,
      0.6326,
      0.4656,
      0.5514,
      0.3881,
      0.5462,
      0.5727,
      0.3902,
      0.3784,
      0.2304,
      0.2449,
      0.5085,
      0.3301,
      0.2583,
      0.3661,
      0.1924,
      0.211,
      0.3713,
      0.0707,
      0,
      0.0145,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1435,
      0.2218,
      0.1173,
      0.2566,
      0.0131,
      0.1438,
      0,
      0.2776,
      0,
      0.2089,
      0.0078,
      0.1239,
      0,
      0.2256,
      0.3637,
      0.1638,
      0,
      0.049,
      0,
      0.3558,
      0,
      0.0401,
      0,
      0.073,
      0.3375,
      0.1404,
      0.3594,
      0.071,
      0.096,
      0.494,
      0.3734,
      0.359,
      0.4003,
      0.4136,
      0.4158,
      0.3948,
      0.3368,
      0.3482,
      0.6053,
      0.3743,
      0.4689,
      0.0899,
      0.2958,
      0.5186,
      0.26,
      0.4344,
      0.223,
      0.3203,
      0.3164,
      0.2573,
      0.2537,
      0.2944,
      0.5665,
      0.4785,
      0.3898,
      0.2802,
      0.1417,
      0.1174,
      0.2892,
      0.2828,
      0.275,
      0.2514,
      0.2494,
      0.2541,
      0.4812,
      0.5761,
      0.3489,
      0.3898,
      0.5461,
      0.2427,
      0.2965,
      0.3258,
      0.3097,
      0.3016,
      0.11,
      0.1849,
      0.246,
      0.2752,
      0.3354,
      0.3042,
      0.3264,
      0.4442,
      0.3332,
      0.3282,
      0.3006,
      0.3552,
      0.2093,
      0.1751,
      0.2602,
      0.4398,
      0.2862,
      0.4906,
      0.369,
      0.4928,
      0.4235,
      0.3575,
      0.3567,
      0.4046,
      0.504,
      0.4313,
      0.2888,
      0.2443,
      0.2316,
      0.4582,
      0.3094,
      0.2538,
      0.1381,
      0.1771,
      0.1909,
      0.3907,
      0.246,
      0.2142,
      0.1592,
      0.4093,
      0.5361,
      0.3171,
      0.4402,
      0.191,
      0.3645,
      0.2632,
      0.2802,
      0.4043,
      0.3495,
      0.2047,
      0.2975,
      0.2851,
      0.6393,
      0.5042,
      0.4591,
      0.2894,
      0.1961,
      0.4458,
      0.3824,
      0.3017,
      0.3173,
      0.1526,
      0.4246,
      0.4966,
      0.3273,
      0.3911,
      0.3203,
      0.3543,
      0.4037,
      0.3419,
      0.5034,
      0.5588,
      0.2264,
      0.3068,
      0.4035,
      0.3594,
      0.3703,
      0.3385,
      0.2188,
      0.3788,
      0.2511,
      0.3624,
      0.3413,
      0.3162,
      0.4026,
      0.4762,
      0.5423,
      0.3684,
      0.4889,
      0.2718,
      0.4569,
      0.1965,
      0.4215,
      0.3781,
      0.2714,
      0.2923,
      0.3032,
      0.3642,
      0.415,
      0.4917,
      0.5228,
      0.5258,
      0.4973,
      0.2913,
      0.3485,
      0.2709,
      0.291,
      0.4097,
      0.361,
      0.4306,
      0.3785,
      0.2222,
      0.4852,
      0.5278,
      0.5551,
      0.3297,
      0.4642,
      0.3459,
      0.2435,
      0.2296,
      0.3393,
      0.3308,
      0.3719,
      0.4993,
      0.1668,
      0.4576,
      0.2946,
      0.4359,
      0.4029,
      0.2589,
      0.2448,
      0.4096,
      0.3252,
      0.4683,
      0.243,
      0.3178,
      0.2006,
      0.3646,
      0.5717,
      0.3429,
      0.2553,
      0.2293,
      0.1478,
      0.1869,
      0.3797,
      0.404,
      0.3436,
      0.356,
      0.3308,
      0.305,
      0.4637,
      0.3902,
      0.4982,
      0.3249,
      0.356,
      0.3083,
      0.2924,
      0.4005,
      0.3784,
      0.3536,
      0.4412,
      0.3563,
      0.4611,
      0.5009,
      0.4448,
      0.5126,
      0.3733,
      0.4234,
      0.3417,
      0.4485,
      0.2786,
      0.3852,
      0.3384,
      0.297,
      0.3269,
      0.2764,
      0.481,
      0.4276,
      0.4067,
      0.4044,
      0.3874,
      0.2219,
      0.2645,
      0.4097,
      0.3807,
      0.4475,
      0.5353,
      0.4621,
      0.4919,
      0.4668,
      0.605,
      0.4095,
      0.4147,
      0.5998,
      0.6287,
      0.5692,
      0.4041,
      0.3779,
      0.3712,
      0.2802,
      0.4611,
      0.5597,
      0.5777,
      0.5461,
      0.4322,
      0.4869,
      0.2747,
      0.2724,
      0.2008,
      0.2505,
      0.3335,
      0.1737,
      0.2284,
      0.3087,
      0.2436,
      0.303,
      0.186,
      0,
      0.0096,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2799,
      0.3092,
      0.0791,
      0.2949,
      0,
      0.0227,
      0,
      0.2672,
      0.0001,
      0.2668,
      0.0402,
      0.0628,
      0,
      0.2887,
      0.2717,
      0.2291,
      0.0295,
      0.057,
      0,
      0.3209,
      0,
      0.031,
      0,
      0.0444,
      0.394,
      0.199,
      0.3887,
      0.1537,
      0.1784,
      0.4246,
      0.3547,
      0.4284,
      0.4018,
      0.4176,
      0.4894,
      0.4091,
      0.3352,
      0.4757,
      0.5685,
      0.3049,
      0.3966,
      0.1457,
      0.3113,
      0.4732,
      0.2752,
      0.4058,
      0.2494,
      0.2936,
      0.5123,
      0.3229,
      0.2279,
      0.2644,
      0.3709,
      0.5329,
      0.3691,
      0.1962,
      0.1935,
      0.1442,
      0.2988,
      0.2548,
      0.2741,
      0.2377,
      0.1948,
      0.2716,
      0.3627,
      0.5067,
      0.3592,
      0.5025,
      0.4435,
      0.237,
      0.3099,
      0.2915,
      0.2079,
      0.3035,
      0.1887,
      0.202,
      0.2767,
      0.3771,
      0.4015,
      0.2897,
      0.3029,
      0.4374,
      0.3422,
      0.2459,
      0.3344,
      0.3174,
      0.2283,
      0.1426,
      0.2719,
      0.4182,
      0.3021,
      0.5006,
      0.4281,
      0.3789,
      0.479,
      0.3361,
      0.3924,
      0.3819,
      0.4129,
      0.4778,
      0.2655,
      0.0911,
      0.2214,
      0.4473,
      0.3664,
      0.2596,
      0.2325,
      0.1397,
      0.2024,
      0.358,
      0.2718,
      0.2506,
      0.1277,
      0.4558,
      0.4689,
      0.3669,
      0.5591,
      0.2035,
      0.4136,
      0.2102,
      0.3704,
      0.3837,
      0.2895,
      0.244,
      0.2883,
      0.2339,
      0.3965,
      0.5789,
      0.3673,
      0.3401,
      0.256,
      0.3287,
      0.4153,
      0.3279,
      0.3482,
      0.257,
      0.3845,
      0.5176,
      0.3839,
      0.4102,
      0.2655,
      0.34,
      0.3528,
      0.3142,
      0.4129,
      0.4798,
      0.2421,
      0.3516,
      0.4665,
      0.3564,
      0.3127,
      0.3285,
      0.3589,
      0.3105,
      0.2414,
      0.3341,
      0.3497,
      0.2931,
      0.3874,
      0.4151,
      0.4707,
      0.3926,
      0.4872,
      0.2774,
      0.4258,
      0.3247,
      0.4618,
      0.3865,
      0.3745,
      0.3614,
      0.271,
      0.2956,
      0.4997,
      0.5673,
      0.4999,
      0.4415,
      0.5933,
      0.2826,
      0.2687,
      0.3386,
      0.309,
      0.4507,
      0.3568,
      0.2987,
      0.2776,
      0.2635,
      0.4606,
      0.4971,
      0.5235,
      0.3626,
      0.4207,
      0.3993,
      0.2991,
      0.2884,
      0.3731,
      0.3195,
      0.3508,
      0.4927,
      0.1816,
      0.3332,
      0.3498,
      0.421,
      0.3798,
      0.3383,
      0.3859,
      0.442,
      0.3636,
      0.4091,
      0.2998,
      0.2727,
      0.1526,
      0.3789,
      0.4869,
      0.3182,
      0.2985,
      0.2589,
      0.1974,
      0.1467,
      0.2452,
      0.3848,
      0.445,
      0.2817,
      0.2478,
      0.3372,
      0.4642,
      0.4331,
      0.5552,
      0.2338,
      0.3028,
      0.3281,
      0.4124,
      0.336,
      0.4805,
      0.4459,
      0.4118,
      0.3861,
      0.5028,
      0.487,
      0.4252,
      0.4874,
      0.3721,
      0.4495,
      0.3048,
      0.494,
      0.3862,
      0.4447,
      0.3875,
      0.3236,
      0.3386,
      0.4018,
      0.5371,
      0.4142,
      0.3708,
      0.3939,
      0.3648,
      0.2289,
      0.293,
      0.4435,
      0.3409,
      0.5053,
      0.5821,
      0.4854,
      0.4686,
      0.4463,
      0.5073,
      0.4322,
      0.5004,
      0.448,
      0.5325,
      0.3281,
      0.4113,
      0.422,
      0.3111,
      0.2531,
      0.3914,
      0.4013,
      0.4729,
      0.421,
      0.3949,
      0.4605,
      0.29,
      0.3528,
      0.2217,
      0.3066,
      0.4119,
      0.2336,
      0.2689,
      0.2991,
      0.2577,
      0.3999,
      0.1685,
      0.0491,
      0.011,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1306,
      0.2137,
      0.0268,
      0.2903,
      0.0194,
      0.0507,
      0.0201,
      0.2476,
      0,
      0.1856,
      0.0498,
      0.1175,
      0,
      0.171,
      0.2611,
      0.2251,
      0.1177,
      0.0477,
      0,
      0.3046,
      0,
      0,
      0,
      0.0322,
      0.4412,
      0.214,
      0.4296,
      0.1073,
      0.1641,
      0.4052,
      0.3912,
      0.3699,
      0.3761,
      0.4167,
      0.477,
      0.4044,
      0.2118,
      0.4208,
      0.3981,
      0.3035,
      0.2104,
      0.1299,
      0.3233,
      0.4344,
      0.468,
      0.4554,
      0.2727,
      0.3122,
      0.4686,
      0.2471,
      0.3082,
      0.255,
      0.3277,
      0.4545,
      0.3102,
      0.3453,
      0.1504,
      0.1569,
      0.2553,
      0.3178,
      0.2445,
      0.2756,
      0.1141,
      0.2579,
      0.4283,
      0.5273,
      0.3177,
      0.3921,
      0.3928,
      0.2348,
      0.3119,
      0.3548,
      0.2594,
      0.3068,
      0.2382,
      0.1421,
      0.2033,
      0.4012,
      0.4,
      0.2612,
      0.2839,
      0.3232,
      0.2812,
      0.2324,
      0.2223,
      0.2798,
      0.2168,
      0.2872,
      0.2952,
      0.4143,
      0.341,
      0.4356,
      0.4401,
      0.4723,
      0.4596,
      0.3396,
      0.3586,
      0.421,
      0.3781,
      0.3717,
      0.2269,
      0.2215,
      0.2389,
      0.4044,
      0.5052,
      0.1958,
      0.1501,
      0.2375,
      0.1746,
      0.3152,
      0.2829,
      0.2243,
      0.1791,
      0.3833,
      0.4582,
      0.3277,
      0.5414,
      0.2087,
      0.3852,
      0.201,
      0.3161,
      0.3336,
      0.3918,
      0.2516,
      0.1987,
      0.2338,
      0.4351,
      0.4925,
      0.5748,
      0.3334,
      0.2657,
      0.19,
      0.3317,
      0.321,
      0.2844,
      0.2415,
      0.3854,
      0.4038,
      0.3388,
      0.4286,
      0.3046,
      0.272,
      0.2897,
      0.343,
      0.3275,
      0.5456,
      0.2329,
      0.3025,
      0.4336,
      0.3266,
      0.3561,
      0.2777,
      0.2128,
      0.2105,
      0.3287,
      0.3323,
      0.3465,
      0.3644,
      0.4325,
      0.4678,
      0.547,
      0.4379,
      0.367,
      0.2629,
      0.3012,
      0.2363,
      0.4564,
      0.3322,
      0.3289,
      0.2657,
      0.2452,
      0.3105,
      0.4689,
      0.5551,
      0.5002,
      0.3792,
      0.5246,
      0.3509,
      0.2836,
      0.3136,
      0.2827,
      0.2933,
      0.322,
      0.3056,
      0.3144,
      0.2569,
      0.4458,
      0.47,
      0.4428,
      0.3938,
      0.4104,
      0.3767,
      0.2067,
      0.2779,
      0.3894,
      0.3439,
      0.4173,
      0.5044,
      0.2242,
      0.2993,
      0.3136,
      0.4048,
      0.348,
      0.3337,
      0.3537,
      0.4236,
      0.2937,
      0.5411,
      0.2603,
      0.2075,
      0.2039,
      0.4177,
      0.4622,
      0.3111,
      0.2691,
      0.1916,
      0.2695,
      0.1986,
      0.2179,
      0.3998,
      0.435,
      0.3298,
      0.2701,
      0.3524,
      0.4249,
      0.4814,
      0.4528,
      0.1902,
      0.2813,
      0.3464,
      0.3404,
      0.3948,
      0.3834,
      0.4712,
      0.4117,
      0.4422,
      0.4093,
      0.5204,
      0.3879,
      0.5245,
      0.3867,
      0.4636,
      0.47,
      0.4837,
      0.4017,
      0.4062,
      0.3305,
      0.3333,
      0.3643,
      0.4621,
      0.5107,
      0.4692,
      0.4317,
      0.355,
      0.37,
      0.3045,
      0.3646,
      0.4071,
      0.371,
      0.5256,
      0.6044,
      0.4555,
      0.5507,
      0.4078,
      0.4555,
      0.4848,
      0.4591,
      0.4372,
      0.4856,
      0.3712,
      0.3967,
      0.3924,
      0.2655,
      0.3331,
      0.3582,
      0.3566,
      0.4572,
      0.4921,
      0.3669,
      0.4228,
      0.3096,
      0.401,
      0.1666,
      0.2707,
      0.3282,
      0.124,
      0.2041,
      0.27,
      0.2417,
      0.2766,
      0.0995,
      0,
      0.0295,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1955,
      0.2126,
      0.0339,
      0.2431,
      0,
      0.0993,
      0.035,
      0.1515,
      0,
      0.196,
      0,
      0.1062,
      0,
      0.1314,
      0.2181,
      0.2264,
      0.0256,
      0.0382,
      0,
      0.3073,
      0,
      0,
      0,
      0.0926,
      0.3515,
      0.2126,
      0.3556,
      0.0863,
      0.1364,
      0.4165,
      0.3965,
      0.3454,
      0.4077,
      0.4092,
      0.488,
      0.4006,
      0.3435,
      0.3671,
      0.3356,
      0.2164,
      0.2459,
      0.1618,
      0.3149,
      0.5593,
      0.3929,
      0.4077,
      0.2204,
      0.3903,
      0.2955,
      0.254,
      0.2854,
      0.2649,
      0.3448,
      0.4566,
      0.4047,
      0.3262,
      0.1836,
      0.1969,
      0.1913,
      0.2735,
      0.2697,
      0.2487,
      0.1542,
      0.1611,
      0.3414,
      0.4703,
      0.3128,
      0.459,
      0.4877,
      0.2113,
      0.2958,
      0.3565,
      0.2599,
      0.3392,
      0.2073,
      0.2151,
      0.1923,
      0.4323,
      0.434,
      0.2669,
      0.244,
      0.4148,
      0.4247,
      0.274,
      0.2201,
      0.2751,
      0.2527,
      0.3229,
      0.3149,
      0.4029,
      0.3764,
      0.5053,
      0.442,
      0.5111,
      0.4629,
      0.2737,
      0.3156,
      0.4128,
      0.3744,
      0.41,
      0.2755,
      0.1786,
      0.2737,
      0.4724,
      0.364,
      0.2522,
      0.1855,
      0.1086,
      0.109,
      0.3171,
      0.2879,
      0.1888,
      0.1292,
      0.4061,
      0.5291,
      0.375,
      0.4882,
      0.267,
      0.3292,
      0.2302,
      0.3772,
      0.3757,
      0.3442,
      0.2771,
      0.2686,
      0.225,
      0.4049,
      0.4977,
      0.4563,
      0.2748,
      0.3163,
      0.2671,
      0.3397,
      0.2925,
      0.327,
      0.2323,
      0.3184,
      0.498,
      0.343,
      0.4174,
      0.2716,
      0.2502,
      0.3026,
      0.2165,
      0.2907,
      0.5201,
      0.264,
      0.366,
      0.391,
      0.3447,
      0.3265,
      0.2917,
      0.2367,
      0.2712,
      0.2491,
      0.4437,
      0.2992,
      0.3449,
      0.4206,
      0.4016,
      0.5391,
      0.4109,
      0.4883,
      0.3408,
      0.3081,
      0.1817,
      0.4014,
      0.3563,
      0.378,
      0.2485,
      0.2833,
      0.3536,
      0.4518,
      0.4706,
      0.5851,
      0.39,
      0.3295,
      0.2453,
      0.2857,
      0.2305,
      0.2365,
      0.3024,
      0.2668,
      0.2916,
      0.3795,
      0.3443,
      0.4283,
      0.5055,
      0.5076,
      0.4075,
      0.3555,
      0.4696,
      0.2254,
      0.231,
      0.3255,
      0.3088,
      0.3822,
      0.4535,
      0.117,
      0.2429,
      0.3614,
      0.3661,
      0.2996,
      0.3178,
      0.2971,
      0.4453,
      0.3127,
      0.5198,
      0.2647,
      0.2926,
      0.1725,
      0.3664,
      0.5282,
      0.2549,
      0.2577,
      0.2121,
      0.1877,
      0.2438,
      0.2041,
      0.3611,
      0.3669,
      0.3423,
      0.086,
      0.2125,
      0.4523,
      0.4163,
      0.4958,
      0.2113,
      0.2228,
      0.3025,
      0.3727,
      0.391,
      0.3514,
      0.4758,
      0.3832,
      0.3337,
      0.532,
      0.5044,
      0.4137,
      0.5295,
      0.2788,
      0.4415,
      0.4934,
      0.5062,
      0.3412,
      0.5555,
      0.4225,
      0.355,
      0.2641,
      0.3916,
      0.4904,
      0.4811,
      0.3682,
      0.3604,
      0.3151,
      0.3028,
      0.2674,
      0.3895,
      0.363,
      0.5382,
      0.5488,
      0.4612,
      0.5475,
      0.3744,
      0.4823,
      0.5197,
      0.4483,
      0.4503,
      0.4256,
      0.4237,
      0.4538,
      0.334,
      0.2949,
      0.2451,
      0.3462,
      0.4007,
      0.5167,
      0.4637,
      0.295,
      0.4123,
      0.2447,
      0.3225,
      0.2006,
      0.289,
      0.3282,
      0.2211,
      0.1837,
      0.1757,
      0.1971,
      0.138,
      0.0992,
      0.0171,
      0.12,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.148,
      0.2182,
      0.0547,
      0.1565,
      0,
      0.136,
      0,
      0.1589,
      0,
      0.203,
      0,
      0.0201,
      0,
      0.0883,
      0.2317,
      0.1677,
      0,
      0,
      0,
      0.3026,
      0,
      0,
      0,
      0.0701,
      0.3967,
      0.1632,
      0.3478,
      0.115,
      0.1557,
      0.4241,
      0.3618,
      0.4255,
      0.3257,
      0.4118,
      0.4848,
      0.4615,
      0.393,
      0.2892,
      0.3165,
      0.2263,
      0.1479,
      0.1899,
      0.2589,
      0.4185,
      0.217,
      0.4055,
      0.1928,
      0.3041,
      0.3612,
      0.1945,
      0.2361,
      0.3144,
      0.3499,
      0.4425,
      0.2969,
      0.2843,
      0.1652,
      0.1037,
      0.2303,
      0.2499,
      0.2844,
      0.222,
      0.1951,
      0.1301,
      0.3925,
      0.5137,
      0.35,
      0.365,
      0.4684,
      0.1728,
      0.2805,
      0.3556,
      0.224,
      0.3607,
      0.1822,
      0.2039,
      0.2278,
      0.4252,
      0.4161,
      0.2536,
      0.2653,
      0.4154,
      0.2818,
      0.2733,
      0.2921,
      0.247,
      0.2418,
      0.1366,
      0.2623,
      0.413,
      0.3511,
      0.4661,
      0.3695,
      0.3659,
      0.4204,
      0.343,
      0.2811,
      0.4349,
      0.3963,
      0.3026,
      0.2054,
      0.5206,
      0.2759,
      0.4696,
      0.3564,
      0.2573,
      0.1915,
      0.158,
      0.124,
      0.3733,
      0.1926,
      0.1127,
      0.1076,
      0.4884,
      0.5167,
      0.256,
      0.4806,
      0.2435,
      0.3804,
      0.2294,
      0.332,
      0.3397,
      0.2805,
      0.1848,
      0.2316,
      0.2222,
      0.391,
      0.4592,
      0.4191,
      0.4225,
      0.2959,
      0.2012,
      0.3144,
      0.2941,
      0.2885,
      0.2708,
      0.3591,
      0.5211,
      0.3355,
      0.4168,
      0.265,
      0.2618,
      0.2343,
      0.3188,
      0.2971,
      0.4897,
      0.2831,
      0.382,
      0.4471,
      0.3562,
      0.3256,
      0.231,
      0.2241,
      0.2772,
      0.2068,
      0.3233,
      0.3392,
      0.3209,
      0.4541,
      0.4138,
      0.5137,
      0.438,
      0.4588,
      0.2957,
      0.4259,
      0.1518,
      0.3483,
      0.4397,
      0.3701,
      0.2495,
      0.2771,
      0.3261,
      0.4267,
      0.472,
      0.5097,
      0.2901,
      0.3424,
      0.2893,
      0.2684,
      0.3188,
      0.1904,
      0.3643,
      0.3244,
      0.2874,
      0.3262,
      0.3219,
      0.3438,
      0.5419,
      0.4775,
      0.315,
      0.3358,
      0.4141,
      0.2262,
      0.3107,
      0.3337,
      0.3803,
      0.3552,
      0.4604,
      0.1711,
      0.3134,
      0.3832,
      0.4044,
      0.3015,
      0.2957,
      0.2521,
      0.4345,
      0.3053,
      0.478,
      0.212,
      0.321,
      0.1365,
      0.3951,
      0.5107,
      0.3437,
      0.2867,
      0.335,
      0.0692,
      0.2329,
      0.1208,
      0.2479,
      0.2416,
      0.3104,
      0.1688,
      0.2667,
      0.4619,
      0.4542,
      0.4665,
      0.2377,
      0.2603,
      0.3064,
      0.3107,
      0.3425,
      0.2749,
      0.3951,
      0.4405,
      0.3462,
      0.4766,
      0.4526,
      0.3882,
      0.437,
      0.3035,
      0.4267,
      0.353,
      0.4582,
      0.2891,
      0.6222,
      0.4059,
      0.2961,
      0.2974,
      0.2935,
      0.4724,
      0.4077,
      0.3846,
      0.2987,
      0.3841,
      0.3101,
      0.2492,
      0.4555,
      0.3477,
      0.4864,
      0.4875,
      0.4762,
      0.5293,
      0.4371,
      0.4909,
      0.3631,
      0.497,
      0.4178,
      0.4859,
      0.3931,
      0.3974,
      0.4088,
      0.3869,
      0.2431,
      0.3871,
      0.3966,
      0.4841,
      0.3881,
      0.3566,
      0.3902,
      0.1873,
      0.325,
      0.1745,
      0.2433,
      0.311,
      0.1866,
      0.2155,
      0.228,
      0.2146,
      0.2255,
      0.0844,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.145,
      0.2507,
      0.0003,
      0.159,
      0.0392,
      0.1669,
      0,
      0.1799,
      0,
      0.0818,
      0,
      0.0534,
      0.0465,
      0.024,
      0.2869,
      0.147,
      0,
      0.0306,
      0,
      0.2671,
      0,
      0,
      0,
      0.0895,
      0.4044,
      0.1675,
      0.3879,
      0.1318,
      0.1604,
      0.4348,
      0.4291,
      0.375,
      0.3818,
      0.4174,
      0.5339,
      0.4922,
      0.3326,
      0.2521,
      0.3554,
      0.2873,
      0.216,
      0.1536,
      0.2347,
      0.5145,
      0.26,
      0.4574,
      0.1663,
      0.3289,
      0.3886,
      0.1807,
      0.359,
      0.3113,
      0.4014,
      0.5257,
      0.43,
      0.2551,
      0.1485,
      0.1336,
      0.1554,
      0.3129,
      0.2529,
      0.1309,
      0.2378,
      0.2091,
      0.5032,
      0.4968,
      0.3593,
      0.4542,
      0.4018,
      0.1886,
      0.2108,
      0.3731,
      0.3159,
      0.3657,
      0.2365,
      0.2338,
      0.3101,
      0.3753,
      0.4197,
      0.3471,
      0.2392,
      0.3609,
      0.3731,
      0.3201,
      0.3435,
      0.2748,
      0.301,
      0.196,
      0.2506,
      0.342,
      0.3521,
      0.458,
      0.2933,
      0.4914,
      0.2093,
      0.3315,
      0.3648,
      0.432,
      0.3974,
      0.4,
      0.2603,
      0.4661,
      0.2848,
      0.5136,
      0.4019,
      0.1953,
      0.1501,
      0.1609,
      0.2245,
      0.4143,
      0.3239,
      0.2531,
      0.0992,
      0.5351,
      0.4639,
      0.3289,
      0.4473,
      0.1802,
      0.3647,
      0.1576,
      0.1835,
      0.3584,
      0.2764,
      0.2078,
      0.2311,
      0.2721,
      0.3592,
      0.5352,
      0.4677,
      0.4699,
      0.3775,
      0.3147,
      0.4431,
      0.3047,
      0.2768,
      0.1499,
      0.41,
      0.5049,
      0.3666,
      0.3767,
      0.3804,
      0.3359,
      0.3093,
      0.2806,
      0.3852,
      0.4962,
      0.3638,
      0.3602,
      0.466,
      0.3903,
      0.3612,
      0.2338,
      0.2924,
      0.3232,
      0.334,
      0.3567,
      0.3265,
      0.3687,
      0.4624,
      0.4786,
      0.5512,
      0.3979,
      0.4257,
      0.2552,
      0.3681,
      0.2191,
      0.3905,
      0.3516,
      0.4148,
      0.3335,
      0.2774,
      0.417,
      0.4581,
      0.4992,
      0.5957,
      0.4193,
      0.4089,
      0.3696,
      0.3257,
      0.4065,
      0.3048,
      0.2746,
      0.334,
      0.2831,
      0.3193,
      0.2444,
      0.3355,
      0.5848,
      0.5584,
      0.2918,
      0.4459,
      0.4032,
      0.2069,
      0.3323,
      0.3612,
      0.2911,
      0.3011,
      0.4612,
      0.2284,
      0.358,
      0.4557,
      0.4695,
      0.393,
      0.3129,
      0.2737,
      0.4325,
      0.3373,
      0.4262,
      0.2988,
      0.3792,
      0.2737,
      0.3248,
      0.5801,
      0.3511,
      0.2487,
      0.27,
      0.0045,
      0.2415,
      0.2391,
      0.3097,
      0.3367,
      0.3116,
      0.1957,
      0.3419,
      0.4673,
      0.4567,
      0.5019,
      0.2502,
      0.296,
      0.3317,
      0.3827,
      0.4189,
      0.3364,
      0.3779,
      0.4182,
      0.367,
      0.4217,
      0.4695,
      0.4226,
      0.4877,
      0.4068,
      0.4199,
      0.175,
      0.4518,
      0.3212,
      0.5528,
      0.3262,
      0.3829,
      0.3269,
      0.2567,
      0.5284,
      0.4305,
      0.4681,
      0.3456,
      0.4234,
      0.3196,
      0.315,
      0.4581,
      0.3533,
      0.4929,
      0.4238,
      0.5395,
      0.5256,
      0.437,
      0.5407,
      0.4437,
      0.5295,
      0.49,
      0.484,
      0.3796,
      0.4583,
      0.3606,
      0.3253,
      0.2985,
      0.4378,
      0.3617,
      0.4797,
      0.4568,
      0.39,
      0.418,
      0.2586,
      0.341,
      0.2082,
      0.343,
      0.3253,
      0.2065,
      0.2142,
      0.294,
      0.1594,
      0.2448,
      0.0967,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1166,
      0.2243,
      0,
      0.2585,
      0.0303,
      0.0694,
      0.1128,
      0.203,
      0,
      0.1402,
      0,
      0.0848,
      0,
      0.0553,
      0.3969,
      0.1387,
      0,
      0,
      0,
      0.1923,
      0,
      0.0005,
      0,
      0.0704,
      0.3978,
      0.2461,
      0.3949,
      0.1474,
      0.1213,
      0.4274,
      0.4676,
      0.3952,
      0.396,
      0.4099,
      0.4869,
      0.4622,
      0.2763,
      0.3333,
      0.3126,
      0.4362,
      0.2686,
      0.107,
      0.2225,
      0.4722,
      0.2722,
      0.4691,
      0.2619,
      0.3407,
      0.3769,
      0.2791,
      0.2322,
      0.3096,
      0.3845,
      0.5096,
      0.3607,
      0.3159,
      0.1343,
      0.0812,
      0.1634,
      0.3609,
      0.2678,
      0.2231,
      0.2647,
      0.188,
      0.5135,
      0.5354,
      0.3878,
      0.4124,
      0.4663,
      0.2489,
      0.2548,
      0.4169,
      0.3452,
      0.3039,
      0.2534,
      0.2174,
      0.2482,
      0.3876,
      0.3297,
      0.3355,
      0.2528,
      0.3616,
      0.3313,
      0.3126,
      0.2387,
      0.2245,
      0.2088,
      0.3002,
      0.228,
      0.3452,
      0.3331,
      0.5209,
      0.296,
      0.4347,
      0.3014,
      0.3358,
      0.3614,
      0.4497,
      0.3787,
      0.4459,
      0.2704,
      0.2455,
      0.2741,
      0.4989,
      0.3394,
      0.1846,
      0.2025,
      0.0595,
      0.2807,
      0.4466,
      0.2825,
      0.1568,
      0.1209,
      0.5249,
      0.4598,
      0.3646,
      0.4503,
      0.2452,
      0.3717,
      0.265,
      0.2843,
      0.3257,
      0.2346,
      0.2434,
      0.281,
      0.2612,
      0.417,
      0.4855,
      0.4088,
      0.3904,
      0.2759,
      0.3126,
      0.4203,
      0.3238,
      0.2816,
      0.2055,
      0.4083,
      0.5115,
      0.3339,
      0.4626,
      0.2682,
      0.2974,
      0.2377,
      0.3634,
      0.3061,
      0.5161,
      0.4532,
      0.3684,
      0.4487,
      0.3494,
      0.3124,
      0.244,
      0.1457,
      0.2687,
      0.1915,
      0.3534,
      0.2801,
      0.3557,
      0.4817,
      0.4908,
      0.543,
      0.2634,
      0.4674,
      0.2804,
      0.4081,
      0.1994,
      0.493,
      0.3964,
      0.4658,
      0.297,
      0.353,
      0.386,
      0.3359,
      0.5389,
      0.5604,
      0.3331,
      0.4313,
      0.2944,
      0.2037,
      0.3786,
      0.2486,
      0.2517,
      0.342,
      0.2758,
      0.2831,
      0.2495,
      0.4188,
      0.5152,
      0.429,
      0.3151,
      0.3009,
      0.3875,
      0.1943,
      0.2447,
      0.387,
      0.2969,
      0.3089,
      0.4704,
      0.1167,
      0.3413,
      0.3672,
      0.3517,
      0.3665,
      0.2324,
      0.3936,
      0.4455,
      0.2762,
      0.4453,
      0.29,
      0.3695,
      0.2473,
      0.3797,
      0.4795,
      0.2374,
      0.2967,
      0.1964,
      0.1355,
      0.1447,
      0.1218,
      0.3113,
      0.3565,
      0.3545,
      0.2587,
      0.2939,
      0.4522,
      0.4909,
      0.4403,
      0.1786,
      0.3148,
      0.3724,
      0.3858,
      0.3302,
      0.407,
      0.3259,
      0.3443,
      0.471,
      0.4178,
      0.4132,
      0.3374,
      0.4681,
      0.3411,
      0.4619,
      0.2268,
      0.4742,
      0.3593,
      0.3774,
      0.394,
      0.3161,
      0.3119,
      0.2489,
      0.4873,
      0.4146,
      0.4252,
      0.3674,
      0.4103,
      0.2537,
      0.3501,
      0.4356,
      0.3027,
      0.4916,
      0.4483,
      0.5116,
      0.5461,
      0.4539,
      0.5479,
      0.4153,
      0.4457,
      0.4652,
      0.3799,
      0.2738,
      0.3895,
      0.3281,
      0.3101,
      0.2723,
      0.3325,
      0.3535,
      0.4212,
      0.3785,
      0.2819,
      0.4793,
      0.2614,
      0.3093,
      0.1408,
      0.3085,
      0.3997,
      0.1854,
      0.1882,
      0.3006,
      0.1822,
      0.2635,
      0.0777,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1874,
      0.2442,
      0.0524,
      0.2269,
      0.0085,
      0.1522,
      0.0406,
      0.3476,
      0,
      0.1648,
      0,
      0.0655,
      0,
      0.1731,
      0.3907,
      0.1241,
      0,
      0,
      0,
      0.2925,
      0,
      0,
      0,
      0.0444,
      0.3812,
      0.1758,
      0.379,
      0.1864,
      0.2626,
      0.4567,
      0.4798,
      0.4203,
      0.4111,
      0.4429,
      0.5019,
      0.4426,
      0.262,
      0.3875,
      0.3399,
      0.427,
      0.2712,
      0.0495,
      0.3501,
      0.5114,
      0.2046,
      0.5099,
      0.3133,
      0.2608,
      0.3095,
      0.3582,
      0.1574,
      0.2863,
      0.3432,
      0.4573,
      0.4328,
      0.3353,
      0.2103,
      0.1289,
      0.1541,
      0.3832,
      0.2448,
      0.1865,
      0.29,
      0.2832,
      0.532,
      0.5596,
      0.4262,
      0.4633,
      0.4765,
      0.1101,
      0.3107,
      0.2953,
      0.2809,
      0.3065,
      0.2309,
      0.2753,
      0.28,
      0.4344,
      0.3613,
      0.2658,
      0.2465,
      0.4619,
      0.3556,
      0.2939,
      0.3751,
      0.292,
      0.1677,
      0.2258,
      0.2858,
      0.4337,
      0.3277,
      0.4894,
      0.2958,
      0.4666,
      0.3739,
      0.3137,
      0.248,
      0.4074,
      0.3399,
      0.395,
      0.3031,
      0.2254,
      0.2928,
      0.484,
      0.4699,
      0.2042,
      0.1764,
      0.127,
      0.2217,
      0.4247,
      0.254,
      0.2134,
      0.1554,
      0.497,
      0.4242,
      0.3189,
      0.5491,
      0.2131,
      0.3611,
      0.2524,
      0.332,
      0.4418,
      0.4157,
      0.3004,
      0.2558,
      0.2885,
      0.4228,
      0.5882,
      0.4514,
      0.3397,
      0.2643,
      0.2528,
      0.3959,
      0.3584,
      0.2908,
      0.1756,
      0.406,
      0.4922,
      0.2844,
      0.4829,
      0.2331,
      0.3323,
      0.2881,
      0.2521,
      0.2909,
      0.501,
      0.3142,
      0.3081,
      0.3968,
      0.3044,
      0.3017,
      0.1333,
      0.2329,
      0.2753,
      0.2019,
      0.3019,
      0.2554,
      0.334,
      0.446,
      0.4841,
      0.4906,
      0.3547,
      0.5328,
      0.1738,
      0.3677,
      0.1541,
      0.3834,
      0.368,
      0.4422,
      0.2746,
      0.4416,
      0.3889,
      0.417,
      0.4654,
      0.545,
      0.4088,
      0.3727,
      0.2476,
      0.234,
      0.3448,
      0.2723,
      0.251,
      0.3281,
      0.2445,
      0.3165,
      0.2787,
      0.3726,
      0.4645,
      0.4504,
      0.3735,
      0.4361,
      0.408,
      0.1837,
      0.2293,
      0.3201,
      0.3217,
      0.3166,
      0.4764,
      0.1742,
      0.2453,
      0.2899,
      0.3898,
      0.337,
      0.3076,
      0.3569,
      0.4484,
      0.3244,
      0.5463,
      0.1908,
      0.355,
      0.1598,
      0.4464,
      0.6079,
      0.2662,
      0.2697,
      0.2705,
      0.2259,
      0.2053,
      0.1823,
      0.3347,
      0.4097,
      0.3536,
      0.3327,
      0.3138,
      0.4571,
      0.4243,
      0.5092,
      0.2344,
      0.3127,
      0.4029,
      0.4272,
      0.3883,
      0.4079,
      0.3986,
      0.4859,
      0.405,
      0.4934,
      0.4183,
      0.4606,
      0.5447,
      0.3243,
      0.4443,
      0.2297,
      0.4958,
      0.2661,
      0.3737,
      0.3731,
      0.2789,
      0.2799,
      0.2196,
      0.465,
      0.3912,
      0.3645,
      0.3118,
      0.3509,
      0.2896,
      0.2981,
      0.4137,
      0.3521,
      0.5032,
      0.4599,
      0.4905,
      0.5736,
      0.4655,
      0.5101,
      0.3905,
      0.502,
      0.4317,
      0.4461,
      0.334,
      0.3538,
      0.2686,
      0.3078,
      0.2782,
      0.2699,
      0.4263,
      0.4813,
      0.4299,
      0.2615,
      0.4446,
      0.2714,
      0.2597,
      0.1915,
      0.2453,
      0.3976,
      0.2259,
      0.1773,
      0.3678,
      0.2059,
      0.3588,
      0.0235,
      0,
      0.0786,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2029,
      0.2172,
      0,
      0.1376,
      0.0041,
      0.135,
      0.026,
      0.2606,
      0,
      0.1192,
      0.015,
      0.0811,
      0.0101,
      0.0213,
      0.2781,
      0.1868,
      0.0874,
      0,
      0,
      0.3388,
      0,
      0,
      0.0016,
      0.0654,
      0.3923,
      0.2227,
      0.4329,
      0.1755,
      0.2058,
      0.4239,
      0.4134,
      0.4287,
      0.3856,
      0.3962,
      0.5471,
      0.4902,
      0.3169,
      0.3191,
      0.3653,
      0.2956,
      0.3781,
      0.0485,
      0.2962,
      0.4995,
      0.3062,
      0.4604,
      0.2437,
      0.3297,
      0.2236,
      0.2323,
      0.2005,
      0.3126,
      0.353,
      0.4303,
      0.3728,
      0.295,
      0.1276,
      0.0654,
      0.1311,
      0.3389,
      0.1619,
      0.268,
      0.2253,
      0.3168,
      0.4827,
      0.5443,
      0.4284,
      0.4698,
      0.4554,
      0.2661,
      0.2645,
      0.3417,
      0.3622,
      0.4106,
      0.211,
      0.1711,
      0.2442,
      0.4446,
      0.4231,
      0.2703,
      0.2943,
      0.4065,
      0.3176,
      0.2269,
      0.344,
      0.193,
      0.2069,
      0.1693,
      0.2544,
      0.4788,
      0.3292,
      0.5423,
      0.2857,
      0.4975,
      0.3284,
      0.3479,
      0.3451,
      0.3694,
      0.3769,
      0.4535,
      0.3038,
      0.1954,
      0.2774,
      0.4992,
      0.306,
      0.2462,
      0.0959,
      0.1325,
      0.294,
      0.3674,
      0.252,
      0.413,
      0.1129,
      0.4432,
      0.4961,
      0.3332,
      0.5848,
      0.2141,
      0.379,
      0.2434,
      0.2437,
      0.4504,
      0.2551,
      0.2882,
      0.2607,
      0.2321,
      0.331,
      0.4735,
      0.4369,
      0.4351,
      0.3072,
      0.3597,
      0.3422,
      0.3367,
      0.2946,
      0.2336,
      0.3484,
      0.4929,
      0.4141,
      0.4165,
      0.3199,
      0.2952,
      0.2754,
      0.3259,
      0.3839,
      0.5537,
      0.2123,
      0.3609,
      0.4089,
      0.2557,
      0.3411,
      0.2975,
      0.1929,
      0.2498,
      0.2116,
      0.3521,
      0.3309,
      0.3849,
      0.4621,
      0.4059,
      0.5073,
      0.352,
      0.4755,
      0.2258,
      0.4477,
      0.2351,
      0.3159,
      0.3415,
      0.4349,
      0.2348,
      0.4258,
      0.38,
      0.3031,
      0.5249,
      0.5223,
      0.3437,
      0.4278,
      0.2846,
      0.269,
      0.2111,
      0.2788,
      0.2569,
      0.3618,
      0.2644,
      0.3295,
      0.2953,
      0.404,
      0.41,
      0.5438,
      0.2588,
      0.3349,
      0.3275,
      0.3201,
      0.3358,
      0.316,
      0.3721,
      0.3231,
      0.5083,
      0.3245,
      0.306,
      0.3634,
      0.4283,
      0.3362,
      0.3156,
      0.3221,
      0.372,
      0.3452,
      0.5768,
      0.2882,
      0.3533,
      0.1575,
      0.263,
      0.5751,
      0.3413,
      0.2598,
      0.2251,
      0.1091,
      0.1674,
      0.1659,
      0.4152,
      0.3917,
      0.359,
      0.1404,
      0.2386,
      0.452,
      0.4397,
      0.4562,
      0.172,
      0.3036,
      0.3736,
      0.4005,
      0.4042,
      0.439,
      0.3729,
      0.3439,
      0.3675,
      0.4448,
      0.4374,
      0.3492,
      0.4538,
      0.3984,
      0.4763,
      0.2982,
      0.4881,
      0.3497,
      0.3113,
      0.404,
      0.3487,
      0.1973,
      0.2415,
      0.4673,
      0.4028,
      0.4107,
      0.3545,
      0.2919,
      0.351,
      0.2617,
      0.4017,
      0.4093,
      0.4236,
      0.3586,
      0.4842,
      0.558,
      0.4377,
      0.5056,
      0.2931,
      0.4514,
      0.4652,
      0.4962,
      0.3565,
      0.327,
      0.3591,
      0.3642,
      0.3057,
      0.4249,
      0.3664,
      0.4975,
      0.4249,
      0.3178,
      0.4713,
      0.3701,
      0.3317,
      0.2682,
      0.3152,
      0.444,
      0.1386,
      0.1688,
      0.3825,
      0.2254,
      0.305,
      0.1877,
      0.0175,
      0.0075,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1961,
      0.2516,
      0.0653,
      0.1795,
      0,
      0.0965,
      0.0246,
      0.2348,
      0.0315,
      0.1575,
      0.0142,
      0.0588,
      0,
      0.0346,
      0.2502,
      0.2026,
      0.0099,
      0.0072,
      0,
      0.3849,
      0,
      0,
      0,
      0.0858,
      0.3467,
      0.1674,
      0.3884,
      0.1184,
      0.2409,
      0.3442,
      0.422,
      0.3672,
      0.3949,
      0.395,
      0.482,
      0.369,
      0.307,
      0.3142,
      0.4195,
      0.241,
      0.2374,
      0.0188,
      0.3067,
      0.5043,
      0.4101,
      0.3832,
      0.2359,
      0.3247,
      0.2619,
      0.1948,
      0.1761,
      0.2264,
      0.3319,
      0.3684,
      0.2884,
      0.271,
      0.1165,
      0.1078,
      0.1975,
      0.2955,
      0.2165,
      0.3059,
      0.1764,
      0.2538,
      0.4797,
      0.4685,
      0.3333,
      0.4306,
      0.4572,
      0.1294,
      0.2988,
      0.3671,
      0.2617,
      0.4357,
      0.266,
      0.1526,
      0.3145,
      0.3904,
      0.3484,
      0.2007,
      0.2759,
      0.3555,
      0.3513,
      0.2656,
      0.3185,
      0.2754,
      0.2326,
      0.1891,
      0.2535,
      0.4892,
      0.2833,
      0.5697,
      0.2975,
      0.3894,
      0.3543,
      0.3794,
      0.3024,
      0.3852,
      0.3105,
      0.4384,
      0.2453,
      0.1916,
      0.2446,
      0.5032,
      0.3292,
      0.1334,
      0.1262,
      0.1101,
      0.2404,
      0.315,
      0.3261,
      0.3555,
      0.1472,
      0.3966,
      0.4678,
      0.3668,
      0.5278,
      0.2012,
      0.379,
      0.2264,
      0.3291,
      0.4681,
      0.2767,
      0.2044,
      0.2678,
      0.2253,
      0.3407,
      0.4491,
      0.4686,
      0.3629,
      0.3316,
      0.3383,
      0.3655,
      0.3137,
      0.3296,
      0.2073,
      0.3681,
      0.5281,
      0.378,
      0.3643,
      0.2293,
      0.2922,
      0.3354,
      0.349,
      0.3203,
      0.5274,
      0.1235,
      0.3117,
      0.374,
      0.2512,
      0.262,
      0.3353,
      0.2239,
      0.2667,
      0.2763,
      0.2766,
      0.2803,
      0.35,
      0.4397,
      0.3875,
      0.4419,
      0.3272,
      0.4583,
      0.2189,
      0.4338,
      0.1556,
      0.4896,
      0.2574,
      0.2378,
      0.261,
      0.3133,
      0.3644,
      0.3363,
      0.4771,
      0.5409,
      0.3739,
      0.4474,
      0.3166,
      0.2806,
      0.184,
      0.2267,
      0.3884,
      0.377,
      0.3078,
      0.3226,
      0.2912,
      0.4803,
      0.4936,
      0.446,
      0.322,
      0.2915,
      0.382,
      0.2486,
      0.3503,
      0.3793,
      0.342,
      0.2865,
      0.5942,
      0.3096,
      0.3411,
      0.3406,
      0.3977,
      0.3522,
      0.1548,
      0.3338,
      0.3597,
      0.3277,
      0.4899,
      0.3111,
      0.3465,
      0.1741,
      0.289,
      0.5559,
      0.3166,
      0.2189,
      0.2857,
      0.1769,
      0.3053,
      0.1986,
      0.3618,
      0.4085,
      0.3009,
      0.1529,
      0.1903,
      0.4069,
      0.4509,
      0.4674,
      0.1981,
      0.2883,
      0.3196,
      0.3366,
      0.3354,
      0.3197,
      0.3973,
      0.3347,
      0.3473,
      0.3901,
      0.4655,
      0.4196,
      0.4105,
      0.3545,
      0.3901,
      0.3,
      0.5537,
      0.295,
      0.3201,
      0.3851,
      0.2688,
      0.2402,
      0.2792,
      0.4799,
      0.3566,
      0.4081,
      0.2642,
      0.3817,
      0.3181,
      0.2923,
      0.4805,
      0.2921,
      0.4584,
      0.4035,
      0.4527,
      0.5201,
      0.3968,
      0.5111,
      0.3941,
      0.4774,
      0.4538,
      0.4807,
      0.407,
      0.4206,
      0.4042,
      0.3572,
      0.2521,
      0.4045,
      0.3672,
      0.4868,
      0.3884,
      0.3256,
      0.4159,
      0.3045,
      0.2824,
      0.2022,
      0.3369,
      0.3537,
      0.1828,
      0.2064,
      0.4078,
      0.1798,
      0.2986,
      0.0927,
      0.0065,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0956,
      0.2178,
      0.0275,
      0.0883,
      0,
      0.1226,
      0.0565,
      0.209,
      0,
      0.1227,
      0.0074,
      0.0556,
      0,
      0.0814,
      0.2724,
      0.1942,
      0,
      0.0267,
      0.0389,
      0.3454,
      0.019,
      0,
      0,
      0.0644,
      0.3436,
      0.1219,
      0.3035,
      0.1669,
      0.1553,
      0.3406,
      0.403,
      0.2667,
      0.3442,
      0.3888,
      0.4836,
      0.431,
      0.2253,
      0.3591,
      0.4676,
      0.172,
      0.189,
      0.0754,
      0.4011,
      0.513,
      0.2841,
      0.426,
      0.1907,
      0.3035,
      0.3307,
      0.2788,
      0.203,
      0.2581,
      0.413,
      0.4203,
      0.2678,
      0.242,
      0.1199,
      0.0685,
      0.1859,
      0.3294,
      0.1946,
      0.1937,
      0.1654,
      0.3139,
      0.4688,
      0.4285,
      0.3591,
      0.4224,
      0.4117,
      0.1485,
      0.2264,
      0.3486,
      0.2884,
      0.3916,
      0.2116,
      0.1387,
      0.2722,
      0.3855,
      0.4152,
      0.2771,
      0.2615,
      0.3406,
      0.3718,
      0.2975,
      0.3192,
      0.3071,
      0.2224,
      0.2916,
      0.2307,
      0.5107,
      0.2945,
      0.4867,
      0.2576,
      0.4892,
      0.2886,
      0.2801,
      0.272,
      0.4102,
      0.3659,
      0.3347,
      0.2137,
      0.1531,
      0.2492,
      0.4744,
      0.3713,
      0.1491,
      0.1844,
      0.0946,
      0.2281,
      0.3947,
      0.2223,
      0.1868,
      0.0959,
      0.4117,
      0.4474,
      0.3117,
      0.4681,
      0.1551,
      0.3409,
      0.2193,
      0.2791,
      0.3333,
      0.3478,
      0.2054,
      0.1721,
      0.2413,
      0.3991,
      0.4608,
      0.3427,
      0.3273,
      0.1845,
      0.3832,
      0.3184,
      0.3363,
      0.2845,
      0.2255,
      0.3553,
      0.4965,
      0.3586,
      0.3955,
      0.2717,
      0.2886,
      0.2793,
      0.3346,
      0.2739,
      0.584,
      0.1546,
      0.3444,
      0.3689,
      0.3113,
      0.3479,
      0.2498,
      0.258,
      0.2262,
      0.1817,
      0.2169,
      0.3541,
      0.3482,
      0.3863,
      0.4025,
      0.5403,
      0.3129,
      0.4815,
      0.1463,
      0.3838,
      0.1501,
      0.4108,
      0.3097,
      0.1507,
      0.2954,
      0.2189,
      0.3713,
      0.3057,
      0.454,
      0.5466,
      0.3586,
      0.417,
      0.2774,
      0.2108,
      0.0899,
      0.2273,
      0.4673,
      0.3055,
      0.2568,
      0.3554,
      0.31,
      0.4526,
      0.5082,
      0.519,
      0.3398,
      0.3772,
      0.3976,
      0.1559,
      0.2918,
      0.3495,
      0.3326,
      0.2422,
      0.4544,
      0.2338,
      0.4347,
      0.3854,
      0.3337,
      0.3227,
      0.2357,
      0.277,
      0.3456,
      0.322,
      0.5003,
      0.322,
      0.2524,
      0.1417,
      0.2918,
      0.5203,
      0.3074,
      0.2414,
      0.3512,
      0.2143,
      0.2919,
      0.2818,
      0.3466,
      0.3461,
      0.3214,
      0.1694,
      0.1974,
      0.424,
      0.424,
      0.4741,
      0.2878,
      0.2436,
      0.2536,
      0.3364,
      0.3959,
      0.3101,
      0.4978,
      0.3077,
      0.3751,
      0.3965,
      0.3977,
      0.3531,
      0.4825,
      0.2357,
      0.4517,
      0.2594,
      0.541,
      0.3873,
      0.3008,
      0.4034,
      0.3263,
      0.2931,
      0.291,
      0.468,
      0.3865,
      0.4304,
      0.2762,
      0.4167,
      0.4304,
      0.2804,
      0.3965,
      0.3369,
      0.4405,
      0.4492,
      0.4943,
      0.5063,
      0.3401,
      0.5011,
      0.3351,
      0.483,
      0.4642,
      0.4563,
      0.309,
      0.4218,
      0.2804,
      0.3449,
      0.2505,
      0.3815,
      0.4041,
      0.502,
      0.4539,
      0.3622,
      0.3129,
      0.3363,
      0.2897,
      0.1647,
      0.3105,
      0.3817,
      0.1147,
      0.201,
      0.3935,
      0.2229,
      0.2507,
      0.1057,
      0.0429,
      0.0043,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1786,
      0.2314,
      0.0469,
      0.1783,
      0,
      0.1701,
      0.0882,
      0.1875,
      0.0096,
      0.164,
      0,
      0.0867,
      0,
      0,
      0.2839,
      0.1577,
      0.0244,
      0.0741,
      0.144,
      0.3053,
      0,
      0.0276,
      0,
      0.0982,
      0.3252,
      0.1696,
      0.3118,
      0.1346,
      0.2383,
      0.3797,
      0.3957,
      0.3755,
      0.4073,
      0.396,
      0.4968,
      0.4612,
      0.29,
      0.4078,
      0.3427,
      0.1801,
      0.2311,
      0.0936,
      0.3905,
      0.477,
      0.2682,
      0.4915,
      0.1764,
      0.3439,
      0.3776,
      0.2156,
      0.194,
      0.252,
      0.3256,
      0.3398,
      0.3058,
      0.2071,
      0.1094,
      0.0859,
      0.1601,
      0.3407,
      0.235,
      0.2121,
      0.1909,
      0.3134,
      0.4596,
      0.5217,
      0.3653,
      0.3866,
      0.432,
      0.1956,
      0.2221,
      0.3986,
      0.3219,
      0.3202,
      0.1646,
      0.1571,
      0.3284,
      0.4303,
      0.3727,
      0.2761,
      0.2799,
      0.4091,
      0.3149,
      0.2972,
      0.3822,
      0.257,
      0.1898,
      0.1223,
      0.1592,
      0.5149,
      0.3071,
      0.5146,
      0.302,
      0.5306,
      0.2829,
      0.2779,
      0.3242,
      0.4185,
      0.3429,
      0.3945,
      0.1557,
      0.1762,
      0.2591,
      0.4799,
      0.3694,
      0.116,
      0.0807,
      0.0699,
      0.1958,
      0.3823,
      0.2587,
      0.251,
      0.0204,
      0.478,
      0.5299,
      0.3349,
      0.5172,
      0.2445,
      0.3071,
      0.2583,
      0.2541,
      0.3232,
      0.3808,
      0.2673,
      0.2542,
      0.1923,
      0.4092,
      0.5326,
      0.4709,
      0.3665,
      0.2118,
      0.2122,
      0.244,
      0.2695,
      0.2528,
      0.1373,
      0.3706,
      0.4645,
      0.3764,
      0.3805,
      0.2946,
      0.5991,
      0.3919,
      0.2961,
      0.2948,
      0.4243,
      0.109,
      0.3051,
      0.3395,
      0.3526,
      0.2956,
      0.291,
      0.2153,
      0.3096,
      0.249,
      0.2592,
      0.3889,
      0.3105,
      0.3114,
      0.4195,
      0.5156,
      0.4067,
      0.4311,
      0.2253,
      0.3989,
      0.1596,
      0.4666,
      0.3984,
      0.2259,
      0.1941,
      0.2694,
      0.3156,
      0.2455,
      0.5577,
      0.5767,
      0.3585,
      0.3626,
      0.2792,
      0.2692,
      0.1284,
      0.2137,
      0.349,
      0.3788,
      0.1833,
      0.261,
      0.4167,
      0.5183,
      0.5771,
      0.4662,
      0.4021,
      0.36,
      0.3843,
      0.1948,
      0.2389,
      0.2974,
      0.3474,
      0.2879,
      0.4998,
      0.2374,
      0.269,
      0.3285,
      0.4604,
      0.2936,
      0.2538,
      0.272,
      0.4002,
      0.2792,
      0.4205,
      0.2927,
      0.3073,
      0.1587,
      0.3247,
      0.5028,
      0.2743,
      0.1744,
      0.2316,
      0.2131,
      0.2591,
      0.1962,
      0.3177,
      0.3726,
      0.3412,
      0.2304,
      0.2454,
      0.3691,
      0.3961,
      0.4761,
      0.2524,
      0.2076,
      0.3285,
      0.3735,
      0.3799,
      0.2987,
      0.4689,
      0.3935,
      0.4101,
      0.3914,
      0.508,
      0.3778,
      0.4748,
      0.2873,
      0.4312,
      0.3264,
      0.5356,
      0.3275,
      0.4049,
      0.4096,
      0.3607,
      0.3149,
      0.2816,
      0.4874,
      0.4117,
      0.3803,
      0.3069,
      0.3459,
      0.5268,
      0.105,
      0.4348,
      0.3399,
      0.4271,
      0.4223,
      0.4424,
      0.5243,
      0.3873,
      0.4938,
      0.3104,
      0.4666,
      0.4431,
      0.3927,
      0.3981,
      0.3968,
      0.3842,
      0.239,
      0.2308,
      0.322,
      0.3335,
      0.5437,
      0.3604,
      0.3611,
      0.4227,
      0.317,
      0.3301,
      0.1895,
      0.2504,
      0.3371,
      0.1427,
      0.1148,
      0.3977,
      0.2153,
      0.2566,
      0.0508,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1386,
      0.2427,
      0.0229,
      0.1482,
      0.0347,
      0.0525,
      0.1512,
      0.2695,
      0,
      0.0818,
      0,
      0.0698,
      0.0279,
      0,
      0.2777,
      0.142,
      0,
      0.0414,
      0.0635,
      0.3007,
      0,
      0,
      0,
      0.052,
      0.4012,
      0.1775,
      0.3212,
      0.1569,
      0.2365,
      0.3858,
      0.4646,
      0.3791,
      0.3937,
      0.4046,
      0.5315,
      0.4732,
      0.2899,
      0.3434,
      0.2883,
      0.2185,
      0.2079,
      0.0951,
      0.3789,
      0.5401,
      0.2555,
      0.4719,
      0.224,
      0.3261,
      0.2828,
      0.2062,
      0.1432,
      0.2722,
      0.2783,
      0.3352,
      0.2834,
      0.2373,
      0.1558,
      0.0301,
      0.1286,
      0.3237,
      0.2617,
      0.203,
      0.2137,
      0.2978,
      0.4775,
      0.5088,
      0.3663,
      0.3101,
      0.4401,
      0.1964,
      0.2681,
      0.3573,
      0.2969,
      0.3879,
      0.1557,
      0.1639,
      0.2978,
      0.4191,
      0.322,
      0.2002,
      0.2747,
      0.4217,
      0.3574,
      0.3208,
      0.35,
      0.269,
      0.2023,
      0.1356,
      0.1698,
      0.4754,
      0.3059,
      0.5415,
      0.3565,
      0.5027,
      0.2224,
      0.291,
      0.3634,
      0.431,
      0.3724,
      0.3929,
      0.1921,
      0.1955,
      0.2552,
      0.4859,
      0.3936,
      0.1935,
      0.1275,
      0.0932,
      0.2565,
      0.3815,
      0.2732,
      0.2275,
      0.0851,
      0.5178,
      0.5298,
      0.2606,
      0.531,
      0.237,
      0.3518,
      0.2187,
      0.3434,
      0.2502,
      0.2986,
      0.2687,
      0.319,
      0.253,
      0.4102,
      0.5145,
      0.4614,
      0.3127,
      0.1962,
      0.2243,
      0.2556,
      0.2686,
      0.2935,
      0.2365,
      0.4597,
      0.4334,
      0.3783,
      0.3676,
      0.3285,
      0.5593,
      0.4313,
      0.4167,
      0.2743,
      0.5082,
      0.1784,
      0.2543,
      0.3856,
      0.3548,
      0.3509,
      0.1965,
      0.1702,
      0.3507,
      0.2189,
      0.267,
      0.3011,
      0.3024,
      0.3995,
      0.3954,
      0.4438,
      0.4247,
      0.4938,
      0.2872,
      0.3815,
      0.1352,
      0.4252,
      0.3601,
      0.2359,
      0.2956,
      0.3565,
      0.3829,
      0.3684,
      0.4891,
      0.4811,
      0.2266,
      0.3336,
      0.3028,
      0.2058,
      0.2765,
      0.2587,
      0.2217,
      0.3689,
      0.2342,
      0.2442,
      0.3333,
      0.464,
      0.5239,
      0.5385,
      0.4055,
      0.3498,
      0.3368,
      0.1582,
      0.3452,
      0.418,
      0.3423,
      0.2776,
      0.4554,
      0.2791,
      0.2033,
      0.3189,
      0.4502,
      0.2134,
      0.2411,
      0.3122,
      0.4443,
      0.345,
      0.5162,
      0.3481,
      0.2362,
      0.1727,
      0.4141,
      0.5717,
      0.2641,
      0.2466,
      0.206,
      0.1709,
      0.2379,
      0.1919,
      0.2911,
      0.2719,
      0.3023,
      0.3038,
      0.2327,
      0.408,
      0.4818,
      0.4825,
      0.2773,
      0.2307,
      0.2676,
      0.3301,
      0.3075,
      0.3099,
      0.4187,
      0.3328,
      0.3611,
      0.4092,
      0.51,
      0.3716,
      0.5009,
      0.2951,
      0.3862,
      0.3856,
      0.5102,
      0.3728,
      0.3642,
      0.3893,
      0.3446,
      0.3208,
      0.3325,
      0.4668,
      0.4631,
      0.4508,
      0.2807,
      0.4113,
      0.4542,
      0.2045,
      0.3118,
      0.3936,
      0.561,
      0.4084,
      0.4908,
      0.4423,
      0.4077,
      0.4972,
      0.4042,
      0.4398,
      0.4055,
      0.326,
      0.2981,
      0.4143,
      0.3562,
      0.2894,
      0.2035,
      0.3979,
      0.3559,
      0.484,
      0.3732,
      0.358,
      0.4668,
      0.2912,
      0.3242,
      0.2294,
      0.296,
      0.2619,
      0.2701,
      0.1494,
      0.3447,
      0.2376,
      0.2751,
      0.076,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1325,
      0.2615,
      0.0596,
      0.2962,
      0,
      0.0757,
      0.0814,
      0.332,
      0,
      0.1436,
      0,
      0,
      0,
      0.0747,
      0.3259,
      0.1766,
      0.0118,
      0.0277,
      0.0503,
      0.3258,
      0,
      0,
      0,
      0,
      0.3457,
      0.1784,
      0.3014,
      0.1703,
      0.1724,
      0.3565,
      0.2799,
      0.3772,
      0.3796,
      0.3926,
      0.4813,
      0.4367,
      0.2925,
      0.3636,
      0.3721,
      0.2951,
      0.212,
      0.0598,
      0.4055,
      0.5369,
      0.2579,
      0.4502,
      0.2662,
      0.3513,
      0.2766,
      0.2057,
      0.3114,
      0.2537,
      0.2678,
      0.4071,
      0.3517,
      0.2902,
      0.1496,
      0.0895,
      0.0842,
      0.2941,
      0.2619,
      0.1582,
      0.2039,
      0.2774,
      0.4814,
      0.5402,
      0.3239,
      0.4553,
      0.4345,
      0.1968,
      0.2979,
      0.2563,
      0.2695,
      0.4177,
      0.216,
      0.1657,
      0.3123,
      0.4356,
      0.329,
      0.2253,
      0.2355,
      0.4041,
      0.3395,
      0.2709,
      0.3946,
      0.2533,
      0.153,
      0.0698,
      0.2329,
      0.4205,
      0.3394,
      0.5417,
      0.3399,
      0.536,
      0.2328,
      0.3506,
      0.3265,
      0.3645,
      0.4218,
      0.4338,
      0.2529,
      0.2267,
      0.2551,
      0.508,
      0.4071,
      0.1815,
      0.1563,
      0.1042,
      0.2603,
      0.3267,
      0.2954,
      0.2376,
      0.0978,
      0.5403,
      0.5049,
      0.3559,
      0.4953,
      0.2385,
      0.3418,
      0.273,
      0.3177,
      0.3252,
      0.3731,
      0.3115,
      0.3714,
      0.2146,
      0.5479,
      0.4489,
      0.5067,
      0.2763,
      0.2675,
      0.2377,
      0.3597,
      0.2179,
      0.2767,
      0.2024,
      0.3795,
      0.4175,
      0.3516,
      0.4481,
      0.3696,
      0.306,
      0.3182,
      0.3547,
      0.3519,
      0.5433,
      0.1562,
      0.2072,
      0.35,
      0.3224,
      0.2402,
      0.2499,
      0.2368,
      0.3311,
      0.2914,
      0.351,
      0.3101,
      0.3091,
      0.4233,
      0.4705,
      0.4703,
      0.3525,
      0.5303,
      0.2565,
      0.3677,
      0.1141,
      0.3846,
      0.3781,
      0.1993,
      0.2888,
      0.3821,
      0.397,
      0.3801,
      0.4495,
      0.4709,
      0.3374,
      0.3247,
      0.2727,
      0.2928,
      0.3165,
      0.3094,
      0.2666,
      0.3753,
      0.3038,
      0.2095,
      0.3139,
      0.5035,
      0.4945,
      0.5,
      0.4232,
      0.4303,
      0.4309,
      0.1547,
      0.3449,
      0.377,
      0.3458,
      0.286,
      0.5664,
      0.2367,
      0.2643,
      0.3957,
      0.4011,
      0.281,
      0.147,
      0.3055,
      0.4282,
      0.3256,
      0.514,
      0.3159,
      0.3375,
      0.1624,
      0.3047,
      0.4781,
      0.2905,
      0.2582,
      0.2332,
      0.2405,
      0.1987,
      0.1291,
      0.3954,
      0.2782,
      0.3891,
      0.2977,
      0.3769,
      0.4161,
      0.4777,
      0.4948,
      0.2009,
      0.2773,
      0.3135,
      0.3472,
      0.3773,
      0.3878,
      0.4368,
      0.4008,
      0.3871,
      0.45,
      0.5297,
      0.3802,
      0.4756,
      0.2936,
      0.3762,
      0.2529,
      0.4789,
      0.3372,
      0.4301,
      0.358,
      0.3221,
      0.2629,
      0.2351,
      0.4405,
      0.4402,
      0.4159,
      0.3597,
      0.4328,
      0.3226,
      0.2596,
      0.3409,
      0.3123,
      0.5194,
      0.3842,
      0.4771,
      0.4034,
      0.3454,
      0.5048,
      0.1864,
      0.495,
      0.4953,
      0.3963,
      0.3331,
      0.3462,
      0.4498,
      0.3767,
      0.2904,
      0.3777,
      0.3862,
      0.4625,
      0.3419,
      0.4236,
      0.3826,
      0.2977,
      0.3461,
      0.2099,
      0.3306,
      0.3991,
      0.2326,
      0.2329,
      0.3215,
      0.2693,
      0.3322,
      0.1768,
      0.0091,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1509,
      0.2061,
      0.0707,
      0.2209,
      0,
      0,
      0.133,
      0.3082,
      0,
      0.153,
      0.0048,
      0.0308,
      0,
      0.0989,
      0.2762,
      0.2387,
      0.0801,
      0.0429,
      0.07,
      0.407,
      0,
      0,
      0,
      0.086,
      0.4326,
      0.1927,
      0.3587,
      0.1827,
      0.1619,
      0.3682,
      0.4493,
      0.3902,
      0.3869,
      0.3939,
      0.475,
      0.466,
      0.2434,
      0.4143,
      0.3885,
      0.3537,
      0.2468,
      0.0485,
      0.4537,
      0.5349,
      0.2537,
      0.5029,
      0.2551,
      0.3893,
      0.2858,
      0.3463,
      0.3123,
      0.2637,
      0.2162,
      0.3619,
      0.4028,
      0.3654,
      0.1141,
      0.0922,
      0.1022,
      0.3426,
      0.2341,
      0.2157,
      0.2164,
      0.3339,
      0.4928,
      0.506,
      0.3746,
      0.4572,
      0.4474,
      0.2724,
      0.2505,
      0.2714,
      0.2558,
      0.4125,
      0.1825,
      0.3049,
      0.3085,
      0.3551,
      0.4102,
      0.3141,
      0.2671,
      0.4678,
      0.3695,
      0.2423,
      0.4016,
      0.2582,
      0.169,
      0.3402,
      0.2362,
      0.3761,
      0.2761,
      0.5277,
      0.2726,
      0.5087,
      0.3911,
      0.3963,
      0.3147,
      0.4588,
      0.575,
      0.4441,
      0.1329,
      0.245,
      0.2574,
      0.5098,
      0.4022,
      0.2271,
      0.1989,
      0.172,
      0.2857,
      0.3838,
      0.2475,
      0.2165,
      0.1614,
      0.4641,
      0.5256,
      0.3386,
      0.4727,
      0.2268,
      0.3594,
      0.1842,
      0.3799,
      0.3614,
      0.4171,
      0.2811,
      0.4545,
      0.1702,
      0.5545,
      0.5444,
      0.5363,
      0.3596,
      0.251,
      0.1934,
      0.369,
      0.3669,
      0.2832,
      0.1197,
      0.3329,
      0.5291,
      0.3524,
      0.3702,
      0.5576,
      0.3211,
      0.3205,
      0.3327,
      0.3019,
      0.5643,
      0.104,
      0.2821,
      0.323,
      0.3814,
      0.3417,
      0.2535,
      0.2051,
      0.2269,
      0.2812,
      0.3321,
      0.239,
      0.3016,
      0.3868,
      0.3991,
      0.5027,
      0.3047,
      0.5255,
      0.1722,
      0.4603,
      0.1651,
      0.4134,
      0.4054,
      0.2219,
      0.2936,
      0.3861,
      0.4308,
      0.4112,
      0.4614,
      0.548,
      0.3471,
      0.2859,
      0.2763,
      0.2975,
      0.3056,
      0.2519,
      0.2113,
      0.2819,
      0.2195,
      0.194,
      0.3042,
      0.5003,
      0.5176,
      0.4332,
      0.3716,
      0.4527,
      0.5107,
      0.1345,
      0.2327,
      0.4443,
      0.3364,
      0.2596,
      0.4652,
      0.2089,
      0.2752,
      0.3426,
      0.5026,
      0.292,
      0.1847,
      0.2551,
      0.3913,
      0.3298,
      0.5078,
      0.2673,
      0.3335,
      0.167,
      0.2862,
      0.5916,
      0.3336,
      0.2829,
      0.2924,
      0.2852,
      0.2542,
      0.2511,
      0.3981,
      0.3596,
      0.388,
      0.3045,
      0.317,
      0.2987,
      0.3797,
      0.4956,
      0.1532,
      0.2244,
      0.3127,
      0.2854,
      0.5041,
      0.3802,
      0.4443,
      0.4092,
      0.4385,
      0.4054,
      0.5298,
      0.3331,
      0.5335,
      0.263,
      0.4266,
      0.1861,
      0.4015,
      0.3635,
      0.385,
      0.3617,
      0.3011,
      0.3534,
      0.2598,
      0.4878,
      0.4184,
      0.3699,
      0.2515,
      0.4599,
      0.3133,
      0.35,
      0.3758,
      0.3082,
      0.5156,
      0.3471,
      0.5198,
      0.486,
      0.4998,
      0.5127,
      0.2772,
      0.5139,
      0.4247,
      0.4417,
      0.3411,
      0.3889,
      0.3872,
      0.352,
      0.2009,
      0.357,
      0.4037,
      0.4153,
      0.3818,
      0.422,
      0.4034,
      0.242,
      0.23,
      0.194,
      0.2278,
      0.4631,
      0.1782,
      0.2318,
      0.2098,
      0.2573,
      0.1791,
      0.3327,
      0.037,
      0.0852,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1435,
      0.1888,
      0.0309,
      0.1369,
      0,
      0.0789,
      0.1595,
      0.2549,
      0,
      0.0979,
      0,
      0.0302,
      0,
      0,
      0.3424,
      0.1765,
      0,
      0.0932,
      0.018,
      0.383,
      0,
      0,
      0,
      0.0517,
      0.3911,
      0.1429,
      0.3762,
      0.1535,
      0.2064,
      0.3948,
      0.4851,
      0.5055,
      0.4609,
      0.4119,
      0.4967,
      0.3497,
      0.413,
      0.4019,
      0.3729,
      0.2843,
      0.2332,
      0.0826,
      0.4252,
      0.5451,
      0.3692,
      0.4775,
      0.2308,
      0.3081,
      0.3032,
      0.3886,
      0.2425,
      0.2358,
      0.2556,
      0.4406,
      0.3826,
      0.2954,
      0.1687,
      0.0898,
      0.1723,
      0.3705,
      0.2049,
      0.252,
      0.2189,
      0.3192,
      0.4408,
      0.4947,
      0.3689,
      0.4257,
      0.535,
      0.2059,
      0.2734,
      0.3175,
      0.282,
      0.4024,
      0.2903,
      0.2289,
      0.3043,
      0.4029,
      0.405,
      0.3,
      0.2576,
      0.441,
      0.3415,
      0.2986,
      0.4232,
      0.237,
      0.2305,
      0.1869,
      0.2548,
      0.3934,
      0.3184,
      0.5541,
      0.2462,
      0.4909,
      0.3819,
      0.3732,
      0.2785,
      0.4212,
      0.5412,
      0.326,
      0.2154,
      0.2739,
      0.2554,
      0.4704,
      0.4076,
      0.3016,
      0.1719,
      0.1782,
      0.1441,
      0.3936,
      0.2834,
      0.2219,
      0.1702,
      0.4171,
      0.4814,
      0.3092,
      0.5022,
      0.249,
      0.3468,
      0.214,
      0.2826,
      0.3977,
      0.3883,
      0.1956,
      0.5359,
      0.231,
      0.4476,
      0.564,
      0.4686,
      0.3359,
      0.2432,
      0.2131,
      0.2928,
      0.3124,
      0.3462,
      0.1538,
      0.2986,
      0.5573,
      0.3474,
      0.4806,
      0.6171,
      0.2961,
      0.3828,
      0.3928,
      0.436,
      0.4999,
      0.1767,
      0.38,
      0.3759,
      0.3243,
      0.3742,
      0.225,
      0.2652,
      0.2577,
      0.3535,
      0.2933,
      0.2904,
      0.3105,
      0.4196,
      0.4162,
      0.4523,
      0.3483,
      0.3955,
      0.1626,
      0.451,
      0.1469,
      0.4935,
      0.4182,
      0.2847,
      0.3289,
      0.3955,
      0.3554,
      0.3341,
      0.5482,
      0.5849,
      0.3271,
      0.3296,
      0.2276,
      0.2753,
      0.3016,
      0.2966,
      0.1968,
      0.2658,
      0.3385,
      0.2869,
      0.2702,
      0.4027,
      0.5119,
      0.554,
      0.3676,
      0.4875,
      0.3776,
      0.1939,
      0.2219,
      0.3137,
      0.3904,
      0.3921,
      0.4724,
      0.1803,
      0.2744,
      0.3149,
      0.432,
      0.2964,
      0.2386,
      0.4586,
      0.3954,
      0.2957,
      0.6108,
      0.3451,
      0.422,
      0.1451,
      0.3412,
      0.5018,
      0.195,
      0.1803,
      0.2477,
      0.3081,
      0.4358,
      0.2009,
      0.424,
      0.3653,
      0.3969,
      0.1923,
      0.2356,
      0.3656,
      0.4479,
      0.4859,
      0.1549,
      0.2823,
      0.3958,
      0.3891,
      0.4276,
      0.3762,
      0.3763,
      0.3424,
      0.3994,
      0.4252,
      0.4737,
      0.3734,
      0.5163,
      0.3552,
      0.432,
      0.2955,
      0.3751,
      0.3999,
      0.2971,
      0.3594,
      0.3257,
      0.319,
      0.2225,
      0.5093,
      0.4348,
      0.3217,
      0.4015,
      0.401,
      0.2231,
      0.2476,
      0.4417,
      0.3677,
      0.3858,
      0.3165,
      0.5248,
      0.4748,
      0.3811,
      0.5336,
      0.4512,
      0.5578,
      0.5171,
      0.5755,
      0.5594,
      0.4398,
      0.3702,
      0.4295,
      0.2629,
      0.3787,
      0.5337,
      0.5753,
      0.5271,
      0.5099,
      0.523,
      0.2813,
      0.3549,
      0.2189,
      0.2445,
      0.4703,
      0.1845,
      0.2294,
      0.2668,
      0.2327,
      0.3263,
      0.2691,
      0,
      0.1021,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1557,
      0.2521,
      0.0127,
      0.1546,
      0,
      0.0339,
      0.1181,
      0.3297,
      0,
      0.113,
      0.0026,
      0.0174,
      0,
      0,
      0.3794,
      0.2393,
      0,
      0.0655,
      0.1279,
      0.3349,
      0,
      0.1342,
      0,
      0.0987,
      0.3946,
      0.2613,
      0.4001,
      0.1664,
      0.2127,
      0.4045,
      0.4408,
      0.4609,
      0.4195,
      0.4138,
      0.4602,
      0.3795,
      0.3167,
      0.3373,
      0.2833,
      0.2073,
      0.2903,
      0.0258,
      0.4441,
      0.5568,
      0.3303,
      0.4684,
      0.205,
      0.3586,
      0.34,
      0.3223,
      0.325,
      0.1935,
      0.2725,
      0.4405,
      0.365,
      0.2379,
      0.188,
      0.0623,
      0.1731,
      0.3008,
      0.2609,
      0.2818,
      0.2471,
      0.2639,
      0.4896,
      0.5537,
      0.3622,
      0.5027,
      0.4901,
      0.1949,
      0.2264,
      0.337,
      0.2913,
      0.3803,
      0.192,
      0.1339,
      0.1792,
      0.3976,
      0.3965,
      0.2666,
      0.2579,
      0.4098,
      0.3006,
      0.2791,
      0.407,
      0.2955,
      0.3016,
      0.218,
      0.261,
      0.3992,
      0.3108,
      0.4483,
      0.3357,
      0.4782,
      0.3021,
      0.3235,
      0.2734,
      0.4167,
      0.3331,
      0.4213,
      0.1493,
      0.2411,
      0.2309,
      0.4579,
      0.4036,
      0.206,
      0.2455,
      0.1691,
      0.1898,
      0.3951,
      0.191,
      0.2422,
      0.0457,
      0.3847,
      0.4615,
      0.3772,
      0.5409,
      0.2371,
      0.367,
      0.1856,
      0.3572,
      0.3762,
      0.3497,
      0.2928,
      0.4278,
      0.242,
      0.4463,
      0.4665,
      0.411,
      0.3548,
      0.2749,
      0.2111,
      0.408,
      0.3581,
      0.2976,
      0.1813,
      0.2895,
      0.5351,
      0.2751,
      0.4696,
      0.3999,
      0.3255,
      0.481,
      0.3419,
      0.452,
      0.6028,
      0.1495,
      0.3767,
      0.449,
      0.3726,
      0.3394,
      0.2771,
      0.2814,
      0.2378,
      0.2635,
      0.4167,
      0.2563,
      0.2171,
      0.3295,
      0.3648,
      0.4718,
      0.4291,
      0.4638,
      0.2127,
      0.4632,
      0.1004,
      0.4782,
      0.4038,
      0.3358,
      0.254,
      0.4113,
      0.3295,
      0.3955,
      0.5018,
      0.6079,
      0.3196,
      0.3637,
      0.3317,
      0.3001,
      0.3403,
      0.2739,
      0.2913,
      0.2751,
      0.1807,
      0.3331,
      0.2496,
      0.4116,
      0.5119,
      0.5021,
      0.3257,
      0.5246,
      0.3594,
      0.1706,
      0.2643,
      0.3575,
      0.3581,
      0.3566,
      0.4969,
      0.1193,
      0.2649,
      0.3129,
      0.4777,
      0.3273,
      0.1944,
      0.3614,
      0.3636,
      0.2498,
      0.5222,
      0.3209,
      0.3816,
      0.1555,
      0.3589,
      0.5547,
      0.366,
      0.2881,
      0.3416,
      0.2971,
      0.3479,
      0.2445,
      0.4481,
      0.4421,
      0.4017,
      0.3515,
      0.3624,
      0.3941,
      0.3611,
      0.5358,
      0.1045,
      0.2363,
      0.4133,
      0.4087,
      0.4024,
      0.4674,
      0.4125,
      0.437,
      0.3793,
      0.4957,
      0.4828,
      0.4206,
      0.489,
      0.3181,
      0.4676,
      0.2311,
      0.357,
      0.3991,
      0.3826,
      0.4402,
      0.4255,
      0.1784,
      0.1995,
      0.5093,
      0.4243,
      0.3977,
      0.3215,
      0.3953,
      0.2291,
      0.2577,
      0.4433,
      0.3584,
      0.5202,
      0.3165,
      0.4773,
      0.5448,
      0.4154,
      0.493,
      0.3848,
      0.4889,
      0.5787,
      0.5388,
      0.4246,
      0.4311,
      0.2806,
      0.3975,
      0.2178,
      0.5747,
      0.3647,
      0.4955,
      0.5179,
      0.5781,
      0.4203,
      0.2356,
      0.3454,
      0.266,
      0.2626,
      0.3394,
      0.1964,
      0.2455,
      0.2917,
      0.247,
      0.391,
      0.1303,
      0.0086,
      0.0232,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.164,
      0.2609,
      0.0691,
      0.2364,
      0.0119,
      0.1007,
      0.1607,
      0.2942,
      0,
      0.1686,
      0,
      0.0121,
      0,
      0.0741,
      0.2751,
      0.2162,
      0,
      0.0844,
      0.2437,
      0.3461,
      0.0083,
      0.0463,
      0.036,
      0.0888,
      0.4089,
      0.2017,
      0.4095,
      0.1333,
      0.2131,
      0.4236,
      0.3447,
      0.4133,
      0.3685,
      0.3984,
      0.53,
      0.4728,
      0.2743,
      0.3079,
      0.285,
      0.1552,
      0.1942,
      0,
      0.4588,
      0.5491,
      0.2651,
      0.465,
      0.2736,
      0.2234,
      0.286,
      0.2502,
      0.2155,
      0.2359,
      0.2241,
      0.4263,
      0.3321,
      0.2503,
      0.1886,
      0.0377,
      0.1737,
      0.2808,
      0.2408,
      0.2314,
      0.1928,
      0.2033,
      0.4793,
      0.4701,
      0.4263,
      0.4064,
      0.4572,
      0.1232,
      0.3317,
      0.3762,
      0.3742,
      0.3842,
      0.2017,
      0.1295,
      0.2096,
      0.4437,
      0.4307,
      0.251,
      0.1786,
      0.3273,
      0.3478,
      0.2974,
      0.3379,
      0.285,
      0.3002,
      0.1641,
      0.1933,
      0.4086,
      0.3046,
      0.5102,
      0.382,
      0.5283,
      0.2164,
      0.3357,
      0.3503,
      0.4392,
      0.3322,
      0.4333,
      0.2663,
      0.5844,
      0.1728,
      0.4421,
      0.3681,
      0.2465,
      0.0792,
      0.1833,
      0.2207,
      0.328,
      0.2392,
      0.2321,
      0.0768,
      0.3953,
      0.4464,
      0.3896,
      0.5034,
      0.2727,
      0.3384,
      0.1969,
      0.3486,
      0.3445,
      0.31,
      0.2594,
      0.2891,
      0.2121,
      0.4798,
      0.5018,
      0.4632,
      0.5322,
      0.2138,
      0.2086,
      0.2824,
      0.2804,
      0.3132,
      0.1151,
      0.3353,
      0.5901,
      0.3467,
      0.4222,
      0.3808,
      0.2637,
      0.49,
      0.3641,
      0.296,
      0.5589,
      0.2158,
      0.3912,
      0.3186,
      0.4018,
      0.2539,
      0.284,
      0.193,
      0.2882,
      0.2816,
      0.3752,
      0.3083,
      0.3334,
      0.3378,
      0.4787,
      0.5128,
      0.4281,
      0.4427,
      0.2325,
      0.4773,
      0.0953,
      0.4107,
      0.4315,
      0.3367,
      0.3273,
      0.38,
      0.3414,
      0.3181,
      0.5147,
      0.5757,
      0.3693,
      0.3459,
      0.288,
      0.2824,
      0.2111,
      0.1889,
      0.2366,
      0.325,
      0.2858,
      0.3654,
      0.2704,
      0.4536,
      0.5397,
      0.5724,
      0.367,
      0.3599,
      0.3054,
      0.2165,
      0.2428,
      0.4253,
      0.3553,
      0.3509,
      0.4844,
      0.2244,
      0.3407,
      0.3604,
      0.3575,
      0.2782,
      0.2971,
      0.2587,
      0.4011,
      0.3516,
      0.5238,
      0.2644,
      0.3832,
      0.2138,
      0.3749,
      0.5413,
      0.3079,
      0.2071,
      0.2596,
      0.2034,
      0.2289,
      0.2511,
      0.4352,
      0.2701,
      0.2827,
      0.2694,
      0.2764,
      0.3223,
      0.5231,
      0.505,
      0.1889,
      0.2798,
      0.3236,
      0.3133,
      0.2902,
      0.3761,
      0.379,
      0.2998,
      0.2855,
      0.474,
      0.5103,
      0.48,
      0.4982,
      0.3803,
      0.4937,
      0.2508,
      0.401,
      0.3198,
      0.4078,
      0.3498,
      0.4352,
      0.2029,
      0.2272,
      0.5662,
      0.4345,
      0.3684,
      0.4585,
      0.4294,
      0.3354,
      0.3631,
      0.4339,
      0.3916,
      0.4928,
      0.3026,
      0.5258,
      0.4778,
      0.4019,
      0.5822,
      0.4326,
      0.4378,
      0.3956,
      0.456,
      0.4128,
      0.3352,
      0.329,
      0.3951,
      0.2377,
      0.5739,
      0.3031,
      0.4614,
      0.4381,
      0.4389,
      0.4122,
      0.3152,
      0.3076,
      0.276,
      0.2678,
      0.4279,
      0.1323,
      0.2288,
      0.2579,
      0.2195,
      0.2414,
      0.1451,
      0.0258,
      0.0144,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.076,
      0.2227,
      0,
      0.1934,
      0,
      0.0694,
      0.0798,
      0.2706,
      0,
      0.0677,
      0,
      0,
      0,
      0,
      0.2026,
      0.0792,
      0,
      0.0486,
      0.2171,
      0.3018,
      0,
      0.0069,
      0,
      0.0661,
      0.2237,
      0.194,
      0.4032,
      0.1114,
      0.2218,
      0.4057,
      0.4513,
      0.3682,
      0.3791,
      0.4059,
      0.4456,
      0.4098,
      0.2085,
      0.2912,
      0.276,
      0.1764,
      0.2055,
      0.0285,
      0.3809,
      0.5754,
      0.2501,
      0.4109,
      0.2055,
      0.3154,
      0.2813,
      0.2678,
      0.2695,
      0.2424,
      0.2098,
      0.4055,
      0.3368,
      0.3458,
      0.1467,
      0.1104,
      0.1537,
      0.3597,
      0.1321,
      0.1621,
      0.1543,
      0.2358,
      0.4038,
      0.5062,
      0.3841,
      0.3507,
      0.453,
      0.1708,
      0.2709,
      0.3634,
      0.3177,
      0.3468,
      0.1715,
      0.1317,
      0.1742,
      0.4554,
      0.4978,
      0.2379,
      0.2794,
      0.412,
      0.3027,
      0.2803,
      0.3189,
      0.2448,
      0.2116,
      0.3535,
      0.2292,
      0.4392,
      0.283,
      0.5446,
      0.3672,
      0.4639,
      0.1862,
      0.2758,
      0.2767,
      0.4439,
      0.3323,
      0.3874,
      0.2893,
      0.3235,
      0.1703,
      0.4066,
      0.3905,
      0.2004,
      0.1676,
      0.1599,
      0.2438,
      0.3574,
      0.3313,
      0.431,
      0.1217,
      0.3294,
      0.4172,
      0.3218,
      0.4965,
      0.2521,
      0.3995,
      0.2807,
      0.2773,
      0.3499,
      0.3051,
      0.3578,
      0.3023,
      0.2199,
      0.4069,
      0.4992,
      0.4317,
      0.4615,
      0.3008,
      0.1833,
      0.2957,
      0.2925,
      0.3049,
      0.1061,
      0.4141,
      0.5672,
      0.3669,
      0.3904,
      0.2694,
      0.2333,
      0.4268,
      0.3334,
      0.2802,
      0.5685,
      0.2386,
      0.3522,
      0.3797,
      0.3602,
      0.2719,
      0.3384,
      0.218,
      0.2672,
      0.2683,
      0.3617,
      0.3875,
      0.3615,
      0.3732,
      0.4878,
      0.5394,
      0.4345,
      0.4803,
      0.2646,
      0.3717,
      0.1521,
      0.4607,
      0.3705,
      0.4371,
      0.3388,
      0.348,
      0.343,
      0.3467,
      0.4398,
      0.5676,
      0.3918,
      0.3403,
      0.2795,
      0.2636,
      0.174,
      0.2424,
      0.3659,
      0.324,
      0.3268,
      0.3043,
      0.4306,
      0.4999,
      0.4378,
      0.4977,
      0.3021,
      0.3525,
      0.4017,
      0.1553,
      0.225,
      0.4019,
      0.2719,
      0.3715,
      0.5353,
      0.2886,
      0.2898,
      0.3554,
      0.3552,
      0.3928,
      0.3495,
      0.3353,
      0.4118,
      0.3465,
      0.5159,
      0.2976,
      0.3122,
      0.1885,
      0.3962,
      0.5412,
      0.285,
      0.2711,
      0.1746,
      0.1559,
      0.1472,
      0.2445,
      0.4104,
      0.2261,
      0.2801,
      0.424,
      0.2616,
      0.4255,
      0.4619,
      0.4687,
      0.2083,
      0.2319,
      0.3515,
      0.3043,
      0.3181,
      0.3516,
      0.4588,
      0.2962,
      0.3483,
      0.4244,
      0.4941,
      0.3887,
      0.5139,
      0.3471,
      0.461,
      0.2201,
      0.4442,
      0.3464,
      0.3354,
      0.3353,
      0.337,
      0.2692,
      0.1751,
      0.5197,
      0.3715,
      0.3004,
      0.3107,
      0.3884,
      0.3258,
      0.3212,
      0.4717,
      0.3678,
      0.4566,
      0.2494,
      0.4387,
      0.5416,
      0.4584,
      0.5316,
      0.2971,
      0.3553,
      0.4791,
      0.467,
      0.3572,
      0.3614,
      0.3641,
      0.2777,
      0.2034,
      0.2793,
      0.3279,
      0.4705,
      0.4276,
      0.3866,
      0.3874,
      0.2839,
      0.3121,
      0.2115,
      0.2525,
      0.3896,
      0.1563,
      0.2626,
      0.2588,
      0.1891,
      0.2597,
      0.0833,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1206,
      0.4439,
      0,
      0.3393,
      0.0308,
      0.2756,
      0.0886,
      0.3908,
      0,
      0.1276,
      0,
      0.0242,
      0,
      0,
      0.492,
      0.1705,
      0.0173,
      0.0791,
      0.1349,
      0.3567,
      0,
      0.0355,
      0,
      0.1549,
      0.3552,
      0.163,
      0.5675,
      0.1495,
      0.2941,
      0.4014,
      0.3687,
      0.3228,
      0.4233,
      0.3778,
      0.4183,
      0.5466,
      0.3542,
      0.3618,
      0.3527,
      0.0846,
      0.1706,
      0.0302,
      0.3117,
      0.4911,
      0.3956,
      0.5007,
      0.2293,
      0.3285,
      0.3147,
      0.2513,
      0.2111,
      0.2075,
      0.3607,
      0.3632,
      0.469,
      0.4106,
      0.2991,
      0.2629,
      0.1413,
      0.328,
      0.184,
      0.1642,
      0.1905,
      0.1931,
      0.4667,
      0.5135,
      0.4218,
      0.4198,
      0.4069,
      0.1689,
      0.2655,
      0.3824,
      0.3006,
      0.3583,
      0.1762,
      0.1042,
      0.2865,
      0.3818,
      0.5275,
      0.3828,
      0.3036,
      0.4325,
      0.402,
      0.3184,
      0.3324,
      0.2414,
      0.2197,
      0.1494,
      0.2235,
      0.4268,
      0.3354,
      0.4483,
      0.3436,
      0.569,
      0.2732,
      0.2363,
      0.3134,
      0.4282,
      0.3885,
      0.3816,
      0.2194,
      0.2598,
      0.1994,
      0.3638,
      0.5056,
      0.404,
      0.352,
      0.2968,
      0.2298,
      0.3174,
      0.3106,
      0.4375,
      0.167,
      0.3799,
      0.4026,
      0.4604,
      0.5695,
      0.385,
      0.3956,
      0.2228,
      0.3502,
      0.3824,
      0.3932,
      0.41,
      0.2736,
      0.3078,
      0.4338,
      0.5562,
      0.4572,
      0.3021,
      0.237,
      0.3198,
      0.3197,
      0.3059,
      0.275,
      0.0681,
      0.3959,
      0.5197,
      0.4689,
      0.3909,
      0.3861,
      0.3282,
      0.3847,
      0.3078,
      0.3066,
      0.5436,
      0.3574,
      0.3473,
      0.4615,
      0.5502,
      0.4135,
      0.311,
      0.3235,
      0.232,
      0.3101,
      0.3651,
      0.36,
      0.3001,
      0.4275,
      0.4712,
      0.4712,
      0.3912,
      0.4039,
      0.298,
      0.3603,
      0.2063,
      0.4249,
      0.4591,
      0.3721,
      0.3529,
      0.2447,
      0.2761,
      0.4342,
      0.4479,
      0.5743,
      0.4306,
      0.4183,
      0.4159,
      0.2961,
      0.1654,
      0.2231,
      0.4478,
      0.353,
      0.3559,
      0.2371,
      0.4413,
      0.488,
      0.4976,
      0.5392,
      0.3273,
      0.4459,
      0.4316,
      0.1706,
      0.2301,
      0.3815,
      0.3286,
      0.3892,
      0.5079,
      0.2764,
      0.2336,
      0.3798,
      0.4871,
      0.3563,
      0.265,
      0.3231,
      0.4474,
      0.321,
      0.4908,
      0.3884,
      0.2401,
      0.1903,
      0.4042,
      0.5324,
      0.3931,
      0.4357,
      0.3448,
      0.3716,
      0.199,
      0.253,
      0.364,
      0.2967,
      0.3784,
      0.443,
      0.3075,
      0.4325,
      0.4029,
      0.536,
      0.208,
      0.2476,
      0.3062,
      0.3614,
      0.3886,
      0.4518,
      0.4517,
      0.361,
      0.3855,
      0.406,
      0.4602,
      0.3917,
      0.5417,
      0.3835,
      0.3939,
      0.3212,
      0.3819,
      0.2668,
      0.3294,
      0.4322,
      0.2666,
      0.2903,
      0.2376,
      0.5342,
      0.4405,
      0.295,
      0.3694,
      0.4002,
      0.3676,
      0.2192,
      0.475,
      0.3798,
      0.5007,
      0.3037,
      0.3959,
      0.4569,
      0.3362,
      0.4659,
      0.353,
      0.4413,
      0.4779,
      0.5243,
      0.3373,
      0.3708,
      0.375,
      0.3735,
      0.2784,
      0.3278,
      0.3687,
      0.5094,
      0.4625,
      0.3795,
      0.3612,
      0.3314,
      0.2826,
      0.2543,
      0.2954,
      0.3999,
      0.1932,
      0.1807,
      0.2476,
      0.3215,
      0.3034,
      0.136,
      0.0311,
      0,
      0.0142,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1001,
      0.3208,
      0.0217,
      0.2692,
      0,
      0.1193,
      0.0751,
      0.3085,
      0,
      0.0658,
      0,
      0,
      0,
      0.0122,
      0.3559,
      0.228,
      0.0254,
      0.0077,
      0.0827,
      0.4029,
      0,
      0.0663,
      0,
      0.0672,
      0.3835,
      0.1925,
      0.4481,
      0.1522,
      0.2206,
      0.4295,
      0.4717,
      0.3544,
      0.3544,
      0.3992,
      0.4282,
      0.4751,
      0.2447,
      0.4443,
      0.3931,
      0.1616,
      0.2558,
      0.0697,
      0.2564,
      0.5002,
      0.291,
      0.4163,
      0.1999,
      0.3161,
      0.4342,
      0.2641,
      0.2437,
      0.2443,
      0.2107,
      0.3626,
      0.3788,
      0.348,
      0.1539,
      0.1226,
      0.1507,
      0.3483,
      0.1516,
      0.1385,
      0.1192,
      0.155,
      0.5195,
      0.5473,
      0.399,
      0.4594,
      0.4739,
      0.2096,
      0.2604,
      0.3457,
      0.3199,
      0.3882,
      0.2111,
      0.1916,
      0.2441,
      0.437,
      0.4677,
      0.3503,
      0.2732,
      0.3744,
      0.3615,
      0.266,
      0.3676,
      0.2596,
      0.2605,
      0.1782,
      0.2529,
      0.3976,
      0.3031,
      0.4938,
      0.4183,
      0.4909,
      0.3575,
      0.2938,
      0.326,
      0.4388,
      0.361,
      0.3567,
      0.2649,
      0.1959,
      0.1858,
      0.4539,
      0.3645,
      0.3104,
      0.195,
      0.1665,
      0.1908,
      0.3459,
      0.3127,
      0.2349,
      0.0633,
      0.4188,
      0.5102,
      0.4043,
      0.5864,
      0.2127,
      0.3739,
      0.2346,
      0.2959,
      0.4886,
      0.3769,
      0.4079,
      0.2761,
      0.376,
      0.3641,
      0.5171,
      0.4488,
      0.4171,
      0.2294,
      0.437,
      0.3016,
      0.3666,
      0.3126,
      0.2171,
      0.3593,
      0.5225,
      0.431,
      0.3848,
      0.2679,
      0.341,
      0.3863,
      0.3055,
      0.2646,
      0.5603,
      0.473,
      0.3761,
      0.4148,
      0.4685,
      0.351,
      0.3759,
      0.2769,
      0.3903,
      0.2144,
      0.3847,
      0.2852,
      0.2935,
      0.3883,
      0.4758,
      0.4223,
      0.4536,
      0.3921,
      0.3302,
      0.4289,
      0.3035,
      0.3736,
      0.4614,
      0.2347,
      0.3372,
      0.3287,
      0.3899,
      0.4074,
      0.4513,
      0.5379,
      0.4195,
      0.4156,
      0.3298,
      0.2887,
      0.2199,
      0.2478,
      0.4932,
      0.2863,
      0.2917,
      0.3034,
      0.2836,
      0.4346,
      0.5035,
      0.4816,
      0.3672,
      0.4048,
      0.4774,
      0.2953,
      0.2956,
      0.429,
      0.3542,
      0.3557,
      0.4664,
      0.1877,
      0.246,
      0.3399,
      0.5278,
      0.3782,
      0.3004,
      0.27,
      0.4379,
      0.2837,
      0.5473,
      0.2912,
      0.3496,
      0.0875,
      0.3451,
      0.5537,
      0.3547,
      0.2955,
      0.2831,
      0.27,
      0.2067,
      0.1953,
      0.3134,
      0.4452,
      0.4367,
      0.3237,
      0.2662,
      0.3727,
      0.42,
      0.5091,
      0.2725,
      0.2604,
      0.4289,
      0.3732,
      0.4783,
      0.4582,
      0.3852,
      0.4194,
      0.3707,
      0.4252,
      0.4611,
      0.3552,
      0.5209,
      0.3846,
      0.4187,
      0.3076,
      0.3972,
      0.3232,
      0.3347,
      0.4591,
      0.3346,
      0.3122,
      0.3129,
      0.5452,
      0.4743,
      0.379,
      0.3819,
      0.4265,
      0.309,
      0.1999,
      0.4269,
      0.3746,
      0.4634,
      0.3823,
      0.4494,
      0.5083,
      0.4029,
      0.52,
      0.3572,
      0.4424,
      0.4902,
      0.4976,
      0.3225,
      0.4792,
      0.4572,
      0.3775,
      0.35,
      0.3823,
      0.3797,
      0.4433,
      0.4848,
      0.3938,
      0.4091,
      0.3004,
      0.406,
      0.2361,
      0.3405,
      0.3378,
      0.1983,
      0.1967,
      0.2751,
      0.2357,
      0.3047,
      0.1202,
      0.0395,
      0.0027,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1524,
      0.2644,
      0,
      0.2397,
      0,
      0.081,
      0.102,
      0.3629,
      0.0493,
      0.0637,
      0,
      0,
      0,
      0.0226,
      0.3497,
      0.2904,
      0.0293,
      0.0428,
      0.1164,
      0.2847,
      0,
      0.1501,
      0,
      0.0659,
      0.3769,
      0.1567,
      0.3808,
      0.1618,
      0.1731,
      0.4112,
      0.3768,
      0.3522,
      0.3333,
      0.3795,
      0.4934,
      0.4521,
      0.3136,
      0.4435,
      0.3368,
      0.2237,
      0.2626,
      0.0856,
      0.3641,
      0.4943,
      0.2549,
      0.4101,
      0.2057,
      0.3217,
      0.3679,
      0.2813,
      0.3542,
      0.2118,
      0.2905,
      0.381,
      0.3848,
      0.3259,
      0.1795,
      0.1559,
      0.1693,
      0.2384,
      0.236,
      0.2007,
      0.1585,
      0.2672,
      0.5055,
      0.5678,
      0.4,
      0.4494,
      0.4579,
      0.0904,
      0.2602,
      0.2774,
      0.305,
      0.3579,
      0.2051,
      0.1371,
      0.2675,
      0.4051,
      0.3692,
      0.2889,
      0.2721,
      0.3166,
      0.379,
      0.2941,
      0.3945,
      0.2717,
      0.2466,
      0.261,
      0.2997,
      0.3719,
      0.3994,
      0.532,
      0.3523,
      0.526,
      0.2965,
      0.3742,
      0.372,
      0.3921,
      0.4451,
      0.3595,
      0.2783,
      0.2473,
      0.197,
      0.4741,
      0.4001,
      0.2586,
      0.1262,
      0.1983,
      0.2888,
      0.3971,
      0.2914,
      0.2791,
      0.1568,
      0.4934,
      0.5043,
      0.4031,
      0.5096,
      0.239,
      0.3524,
      0.1949,
      0.3538,
      0.4192,
      0.4111,
      0.2816,
      0.3069,
      0.3336,
      0.4882,
      0.414,
      0.3801,
      0.3977,
      0.2594,
      0.2287,
      0.3634,
      0.4066,
      0.3053,
      0.1692,
      0.304,
      0.5077,
      0.4256,
      0.4529,
      0.2864,
      0.2779,
      0.3529,
      0.3601,
      0.2444,
      0.5705,
      0.5128,
      0.2516,
      0.3874,
      0.3846,
      0.288,
      0.323,
      0.2042,
      0.1822,
      0.21,
      0.3731,
      0.3469,
      0.3942,
      0.4332,
      0.4664,
      0.464,
      0.4154,
      0.5205,
      0.3272,
      0.3612,
      0.1731,
      0.4338,
      0.4516,
      0.2616,
      0.3401,
      0.38,
      0.3376,
      0.4412,
      0.5482,
      0.5936,
      0.3957,
      0.3774,
      0.2559,
      0.2777,
      0.2662,
      0.2437,
      0.3048,
      0.3481,
      0.3319,
      0.3025,
      0.2612,
      0.3754,
      0.4758,
      0.48,
      0.4506,
      0.4567,
      0.4553,
      0.2053,
      0.3111,
      0.3929,
      0.3751,
      0.3385,
      0.4382,
      0.2171,
      0.2541,
      0.3688,
      0.4357,
      0.333,
      0.1135,
      0.2359,
      0.4121,
      0.2766,
      0.4869,
      0.3012,
      0.4128,
      0.087,
      0.2666,
      0.5559,
      0.3254,
      0.2482,
      0.3842,
      0.2872,
      0.3951,
      0.2567,
      0.3959,
      0.4731,
      0.4065,
      0.2669,
      0.2872,
      0.3635,
      0.4077,
      0.4728,
      0.1839,
      0.3118,
      0.3771,
      0.4118,
      0.4888,
      0.5229,
      0.4584,
      0.4606,
      0.4051,
      0.5113,
      0.4379,
      0.4046,
      0.488,
      0.3453,
      0.4287,
      0.3721,
      0.3311,
      0.4199,
      0.3266,
      0.4032,
      0.3622,
      0.2469,
      0.2723,
      0.4969,
      0.421,
      0.3737,
      0.4142,
      0.4267,
      0.2857,
      0.3606,
      0.5259,
      0.3307,
      0.4709,
      0.339,
      0.4507,
      0.495,
      0.4362,
      0.5072,
      0.3774,
      0.4663,
      0.3416,
      0.4362,
      0.3778,
      0.4094,
      0.4398,
      0.3638,
      0.2356,
      0.3208,
      0.3743,
      0.491,
      0.3611,
      0.3699,
      0.3882,
      0.2825,
      0.3391,
      0.2773,
      0.2824,
      0.3697,
      0.2026,
      0.1597,
      0.2334,
      0.2246,
      0.2879,
      0.2138,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1485,
      0.3713,
      0.0175,
      0.1308,
      0,
      0.0881,
      0.1135,
      0.2821,
      0.1442,
      0.0268,
      0,
      0,
      0,
      0.002,
      0.3747,
      0.3202,
      0,
      0.042,
      0.1749,
      0.2948,
      0,
      0.2154,
      0,
      0.0396,
      0.3907,
      0.1596,
      0.4187,
      0.0856,
      0.1933,
      0.3985,
      0.3671,
      0.3955,
      0.4061,
      0.3869,
      0.478,
      0.4421,
      0.2864,
      0.4999,
      0.2731,
      0.2665,
      0.1937,
      0,
      0.3763,
      0.5087,
      0.1569,
      0.3968,
      0.1771,
      0.2896,
      0.3788,
      0.296,
      0.3637,
      0.2661,
      0.3033,
      0.478,
      0.3819,
      0.2493,
      0.1626,
      0.0694,
      0.17,
      0.2921,
      0.2074,
      0.263,
      0.1878,
      0.293,
      0.5045,
      0.5283,
      0.3122,
      0.5612,
      0.4185,
      0.2964,
      0.3029,
      0.2751,
      0.313,
      0.3935,
      0.1759,
      0.3333,
      0.2802,
      0.4089,
      0.4427,
      0.309,
      0.2242,
      0.3779,
      0.3863,
      0.3324,
      0.4036,
      0.316,
      0.2247,
      0.3464,
      0.2424,
      0.3258,
      0.2944,
      0.5387,
      0.3629,
      0.5201,
      0.4391,
      0.3044,
      0.3504,
      0.366,
      0.4422,
      0.3699,
      0.2924,
      0.283,
      0.1947,
      0.5618,
      0.5003,
      0.2389,
      0.2259,
      0.1644,
      0.1761,
      0.4353,
      0.2703,
      0.2212,
      0.0514,
      0.4885,
      0.4992,
      0.3689,
      0.4965,
      0.2732,
      0.275,
      0.1799,
      0.3278,
      0.4495,
      0.4309,
      0.3875,
      0.3168,
      0.2594,
      0.4547,
      0.5316,
      0.3984,
      0.3728,
      0.219,
      0.2836,
      0.4151,
      0.443,
      0.2878,
      0.126,
      0.3825,
      0.5049,
      0.3623,
      0.4397,
      0.1799,
      0.2933,
      0.3498,
      0.3575,
      0.3212,
      0.5879,
      0.2486,
      0.2221,
      0.4248,
      0.3425,
      0.3209,
      0.3099,
      0.2956,
      0.2642,
      0.3012,
      0.3544,
      0.3977,
      0.3386,
      0.4594,
      0.4495,
      0.4803,
      0.4688,
      0.4842,
      0.3006,
      0.412,
      0.149,
      0.4506,
      0.3541,
      0.2928,
      0.3727,
      0.3715,
      0.4658,
      0.4332,
      0.5258,
      0.5926,
      0.3175,
      0.3145,
      0.3504,
      0.2794,
      0.3291,
      0.2911,
      0.2658,
      0.4166,
      0.324,
      0.3309,
      0.2359,
      0.4098,
      0.4608,
      0.5062,
      0.3866,
      0.4965,
      0.4872,
      0.1961,
      0.213,
      0.3652,
      0.2801,
      0.3151,
      0.4777,
      0.1692,
      0.243,
      0.2942,
      0.4494,
      0.3926,
      0.2222,
      0.3126,
      0.3813,
      0.2963,
      0.4726,
      0.2986,
      0.3337,
      0.16,
      0.3438,
      0.5622,
      0.342,
      0.249,
      0.4638,
      0.2703,
      0.3392,
      0.3024,
      0.2393,
      0.3779,
      0.443,
      0.3601,
      0.3234,
      0.3871,
      0.4467,
      0.4882,
      0.1779,
      0.3592,
      0.3767,
      0.4146,
      0.5008,
      0.4821,
      0.4127,
      0.5083,
      0.3923,
      0.5446,
      0.502,
      0.3458,
      0.4926,
      0.4237,
      0.4119,
      0.3384,
      0.3748,
      0.4551,
      0.4416,
      0.4623,
      0.4182,
      0.3195,
      0.3326,
      0.4652,
      0.4094,
      0.3805,
      0.3352,
      0.4653,
      0.3296,
      0.3212,
      0.4937,
      0.374,
      0.5693,
      0.3634,
      0.4374,
      0.5352,
      0.4981,
      0.4964,
      0.4226,
      0.4412,
      0.5182,
      0.4738,
      0.372,
      0.3837,
      0.3802,
      0.4135,
      0.2405,
      0.3262,
      0.421,
      0.4615,
      0.3685,
      0.3681,
      0.4046,
      0.2573,
      0.3162,
      0.2189,
      0.199,
      0.3295,
      0.2294,
      0.1548,
      0.2759,
      0.3167,
      0.2107,
      0.1904,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1766,
      0.3605,
      0.0104,
      0.2351,
      0,
      0.1225,
      0.0563,
      0.3101,
      0.1546,
      0.0204,
      0,
      0.0126,
      0,
      0.06,
      0.3763,
      0.1567,
      0,
      0.08,
      0.2536,
      0.306,
      0,
      0.1189,
      0,
      0.0335,
      0.4607,
      0.1578,
      0.3748,
      0.0397,
      0.2044,
      0.441,
      0.4305,
      0.3455,
      0.4022,
      0.389,
      0.4065,
      0.5174,
      0.4755,
      0.3814,
      0.3319,
      0.2007,
      0.2664,
      0,
      0.3437,
      0.5801,
      0.2959,
      0.3687,
      0.2416,
      0.309,
      0.31,
      0.4354,
      0.3091,
      0.2194,
      0.2386,
      0.3963,
      0.4206,
      0.3134,
      0.1999,
      0.0975,
      0.1705,
      0.2925,
      0.2024,
      0.2246,
      0.208,
      0.2429,
      0.4631,
      0.5561,
      0.4438,
      0.5458,
      0.488,
      0.2176,
      0.2309,
      0.3174,
      0.3441,
      0.2749,
      0.275,
      0.1486,
      0.1903,
      0.4562,
      0.4564,
      0.2775,
      0.2293,
      0.4822,
      0.3529,
      0.2719,
      0.3976,
      0.3764,
      0.3106,
      0.1528,
      0.1844,
      0.3303,
      0.2991,
      0.4788,
      0.3381,
      0.4792,
      0.2539,
      0.3434,
      0.2606,
      0.3706,
      0.4118,
      0.3345,
      0.3682,
      0.2161,
      0.195,
      0.4895,
      0.3474,
      0.2944,
      0.2613,
      0.2539,
      0.2039,
      0.3326,
      0.334,
      0.2425,
      0.1505,
      0.443,
      0.5337,
      0.3901,
      0.4259,
      0.2235,
      0.3126,
      0.1823,
      0.3357,
      0.4141,
      0.4538,
      0.3398,
      0.3548,
      0.2705,
      0.4664,
      0.5314,
      0.3814,
      0.397,
      0.2089,
      0.2923,
      0.3776,
      0.3949,
      0.3748,
      0.199,
      0.2906,
      0.4822,
      0.433,
      0.4787,
      0.3022,
      0.3183,
      0.3416,
      0.3886,
      0.2543,
      0.5216,
      0.1483,
      0.3413,
      0.4759,
      0.3662,
      0.3528,
      0.3226,
      0.3072,
      0.3281,
      0.3007,
      0.3539,
      0.3783,
      0.3438,
      0.4137,
      0.4693,
      0.5022,
      0.4073,
      0.5025,
      0.27,
      0.456,
      0.1654,
      0.5241,
      0.4368,
      0.2543,
      0.3822,
      0.3935,
      0.4637,
      0.5017,
      0.565,
      0.4964,
      0.3256,
      0.3605,
      0.3,
      0.2856,
      0.2837,
      0.2549,
      0.3087,
      0.2961,
      0.322,
      0.4099,
      0.2933,
      0.5069,
      0.534,
      0.4245,
      0.4243,
      0.402,
      0.403,
      0.3111,
      0.2846,
      0.4124,
      0.3373,
      0.3542,
      0.5571,
      0.2495,
      0.2659,
      0.3859,
      0.4279,
      0.3972,
      0.2515,
      0.3705,
      0.4364,
      0.2885,
      0.4702,
      0.3668,
      0.3277,
      0.1836,
      0.3962,
      0.5488,
      0.3254,
      0.3113,
      0.3023,
      0.2457,
      0.2529,
      0.1594,
      0.2782,
      0.2557,
      0.4287,
      0.3487,
      0.3057,
      0.4068,
      0.409,
      0.5222,
      0.1989,
      0.329,
      0.3998,
      0.4141,
      0.4783,
      0.4867,
      0.4085,
      0.4295,
      0.3643,
      0.4457,
      0.4915,
      0.5354,
      0.4622,
      0.402,
      0.4227,
      0.3464,
      0.3545,
      0.4466,
      0.4175,
      0.4142,
      0.423,
      0.2362,
      0.3477,
      0.5885,
      0.3662,
      0.3477,
      0.4208,
      0.3861,
      0.3279,
      0.3516,
      0.4538,
      0.3063,
      0.497,
      0.3838,
      0.3807,
      0.5103,
      0.4444,
      0.5159,
      0.3882,
      0.4115,
      0.5599,
      0.4311,
      0.3908,
      0.3671,
      0.3502,
      0.4031,
      0.321,
      0.3127,
      0.3324,
      0.4328,
      0.4535,
      0.3409,
      0.3562,
      0.2996,
      0.3117,
      0.2583,
      0.3411,
      0.2789,
      0.1666,
      0.0528,
      0.2713,
      0.3129,
      0.2223,
      0.1099,
      0,
      0.0296,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1858,
      0.3591,
      0,
      0.2273,
      0.0057,
      0.0928,
      0.0777,
      0.3223,
      0,
      0.0095,
      0,
      0,
      0,
      0,
      0.3416,
      0.1733,
      0,
      0.0558,
      0.3059,
      0.3578,
      0,
      0.0563,
      0,
      0.053,
      0.4872,
      0.2626,
      0.2798,
      0.0009,
      0.1864,
      0.4485,
      0.4648,
      0.3869,
      0.3277,
      0.3998,
      0.5108,
      0.4806,
      0.4388,
      0.3271,
      0.3397,
      0.1525,
      0.2615,
      0.0208,
      0.3363,
      0.5867,
      0.2827,
      0.3796,
      0.2297,
      0.2397,
      0.2491,
      0.3779,
      0.2846,
      0.2392,
      0.1785,
      0.3776,
      0.4043,
      0.2498,
      0.1041,
      0.0766,
      0.1712,
      0.2139,
      0.1683,
      0.1929,
      0.2197,
      0.1445,
      0.5352,
      0.4959,
      0.4247,
      0.4017,
      0.4913,
      0.0607,
      0.274,
      0.3007,
      0.4056,
      0.402,
      0.1383,
      0.1638,
      0.2044,
      0.4719,
      0.4718,
      0.3655,
      0.2306,
      0.2998,
      0.3365,
      0.3326,
      0.4386,
      0.2216,
      0.2605,
      0.1148,
      0.2707,
      0.2694,
      0.3566,
      0.4822,
      0.3586,
      0.4653,
      0.3,
      0.3354,
      0.3614,
      0.4096,
      0.4168,
      0.3927,
      0.2624,
      0.1887,
      0.2076,
      0.4304,
      0.4,
      0.3224,
      0.139,
      0.1814,
      0.2836,
      0.3602,
      0.2468,
      0.2074,
      0.1879,
      0.3876,
      0.5491,
      0.4655,
      0.5372,
      0.2243,
      0.3113,
      0.1539,
      0.3002,
      0.4715,
      0.3555,
      0.35,
      0.3216,
      0.332,
      0.4747,
      0.576,
      0.4465,
      0.2925,
      0.198,
      0.1941,
      0.3488,
      0.3538,
      0.3412,
      0.1747,
      0.3412,
      0.4822,
      0.3872,
      0.3879,
      0.2476,
      0.3441,
      0.2656,
      0.2805,
      0.2683,
      0.4938,
      0.1093,
      0.3844,
      0.406,
      0.3249,
      0.336,
      0.2685,
      0.1668,
      0.3002,
      0.256,
      0.3806,
      0.3691,
      0.3322,
      0.3835,
      0.5128,
      0.4023,
      0.2821,
      0.486,
      0.2041,
      0.4298,
      0.1685,
      0.4904,
      0.4439,
      0.3267,
      0.2426,
      0.4308,
      0.4129,
      0.4698,
      0.5165,
      0.5211,
      0.2933,
      0.4077,
      0.2145,
      0.2795,
      0.2487,
      0.2585,
      0.2748,
      0.3492,
      0.2817,
      0.2972,
      0.3173,
      0.5108,
      0.5154,
      0.5527,
      0.3685,
      0.4507,
      0.3934,
      0.2064,
      0.2628,
      0.3898,
      0.3868,
      0.3069,
      0.4068,
      0.1986,
      0.3509,
      0.3056,
      0.4326,
      0.3021,
      0.3077,
      0.3904,
      0.4304,
      0.3074,
      0.5091,
      0.3691,
      0.3242,
      0.1641,
      0.3005,
      0.5204,
      0.3419,
      0.2748,
      0.3128,
      0.2684,
      0.2184,
      0.1392,
      0.2502,
      0.3354,
      0.2777,
      0.3184,
      0.2761,
      0.3285,
      0.4163,
      0.4714,
      0.2067,
      0.2729,
      0.3564,
      0.3196,
      0.3928,
      0.3516,
      0.3924,
      0.3525,
      0.4374,
      0.4469,
      0.4835,
      0.3877,
      0.4985,
      0.3502,
      0.506,
      0.2426,
      0.2778,
      0.3936,
      0.4453,
      0.4579,
      0.2997,
      0.3845,
      0.1175,
      0.5098,
      0.3971,
      0.3353,
      0.4215,
      0.3723,
      0.2347,
      0.3022,
      0.4112,
      0.4136,
      0.4764,
      0.3061,
      0.3983,
      0.5203,
      0.4903,
      0.5016,
      0.384,
      0.3962,
      0.507,
      0.4233,
      0.3256,
      0.3767,
      0.4189,
      0.4024,
      0.2551,
      0.276,
      0.313,
      0.4856,
      0.3915,
      0.3213,
      0.4509,
      0.26,
      0.3304,
      0.2719,
      0.3406,
      0.4348,
      0.2743,
      0.1648,
      0.2871,
      0.2874,
      0.3518,
      0.0665,
      0.0164,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1363,
      0.2628,
      0.0035,
      0.1079,
      0.0619,
      0.0829,
      0.0961,
      0.2533,
      0.041,
      0.0827,
      0,
      0,
      0,
      0.0872,
      0.3483,
      0.2093,
      0,
      0.0177,
      0.1371,
      0.3826,
      0,
      0.0473,
      0,
      0.083,
      0.3381,
      0.2452,
      0.3649,
      0.1409,
      0.1349,
      0.3994,
      0.4704,
      0.3916,
      0.3385,
      0.3984,
      0.4328,
      0.4555,
      0.2958,
      0.4076,
      0.3078,
      0.1791,
      0.2276,
      0.0506,
      0.3835,
      0.5574,
      0.2689,
      0.474,
      0.2077,
      0.3186,
      0.3004,
      0.3131,
      0.2995,
      0.2815,
      0.2703,
      0.3951,
      0.3635,
      0.2918,
      0.2035,
      0.1625,
      0.1516,
      0.338,
      0.171,
      0.1822,
      0.0652,
      0.2045,
      0.4689,
      0.5826,
      0.4765,
      0.5211,
      0.3934,
      0.2367,
      0.2786,
      0.3454,
      0.4392,
      0.4311,
      0.1279,
      0.1826,
      0.1718,
      0.473,
      0.475,
      0.3157,
      0.2619,
      0.4413,
      0.3983,
      0.3101,
      0.4664,
      0.2841,
      0.1815,
      0.3235,
      0.2688,
      0.3893,
      0.3414,
      0.5539,
      0.398,
      0.481,
      0.2926,
      0.3255,
      0.3117,
      0.4702,
      0.4095,
      0.4039,
      0.228,
      0.1694,
      0.2211,
      0.4266,
      0.5133,
      0.282,
      0.195,
      0.1293,
      0.283,
      0.4019,
      0.2681,
      0.2262,
      0.1644,
      0.4017,
      0.526,
      0.3889,
      0.4935,
      0.2169,
      0.3398,
      0.2241,
      0.3006,
      0.3836,
      0.3262,
      0.3721,
      0.3189,
      0.3366,
      0.4115,
      0.4915,
      0.5828,
      0.2799,
      0.1848,
      0.2018,
      0.4191,
      0.3846,
      0.3272,
      0.1002,
      0.2356,
      0.573,
      0.4066,
      0.416,
      0.3058,
      0.3882,
      0.3154,
      0.3578,
      0.2826,
      0.531,
      0.2252,
      0.3462,
      0.3822,
      0.3893,
      0.3633,
      0.3196,
      0.2823,
      0.2221,
      0.2862,
      0.3958,
      0.4153,
      0.3068,
      0.3783,
      0.5193,
      0.5222,
      0.3427,
      0.4328,
      0.3309,
      0.4496,
      0.2254,
      0.4499,
      0.4728,
      0.2738,
      0.3223,
      0.4378,
      0.4518,
      0.4973,
      0.5704,
      0.5082,
      0.3645,
      0.3364,
      0.2735,
      0.2879,
      0.2389,
      0.3174,
      0.2508,
      0.4103,
      0.3408,
      0.3239,
      0.3866,
      0.4949,
      0.5338,
      0.5516,
      0.4446,
      0.4493,
      0.3868,
      0.1411,
      0.2531,
      0.3639,
      0.3132,
      0.4084,
      0.4917,
      0.2874,
      0.2321,
      0.3129,
      0.4531,
      0.3568,
      0.23,
      0.3416,
      0.4434,
      0.3096,
      0.468,
      0.3612,
      0.275,
      0.1975,
      0.2603,
      0.6341,
      0.3253,
      0.3012,
      0.3069,
      0.2807,
      0.187,
      0.2163,
      0.3032,
      0.4201,
      0.3317,
      0.4376,
      0.3251,
      0.2979,
      0.4668,
      0.5358,
      0.2199,
      0.2722,
      0.3861,
      0.4037,
      0.3732,
      0.4844,
      0.4909,
      0.3384,
      0.3825,
      0.4586,
      0.4345,
      0.4025,
      0.498,
      0.4308,
      0.4912,
      0.2731,
      0.2882,
      0.4483,
      0.338,
      0.4674,
      0.3578,
      0.3937,
      0.2981,
      0.5207,
      0.479,
      0.3984,
      0.3501,
      0.4135,
      0.3,
      0.3479,
      0.4656,
      0.3701,
      0.5124,
      0.2979,
      0.5086,
      0.5076,
      0.5029,
      0.5039,
      0.3809,
      0.4806,
      0.3519,
      0.4419,
      0.3305,
      0.3601,
      0.4101,
      0.3683,
      0.1701,
      0.3258,
      0.3628,
      0.4212,
      0.4395,
      0.3677,
      0.5198,
      0.1817,
      0.3096,
      0.2727,
      0.2521,
      0.3882,
      0.1728,
      0.2155,
      0.1552,
      0.2853,
      0.3558,
      0.0231,
      0.0268,
      0.0259,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0601,
      0.285,
      0,
      0.1585,
      0,
      0.111,
      0.0382,
      0.2546,
      0,
      0.0548,
      0,
      0,
      0,
      0.06,
      0.2899,
      0.2286,
      0,
      0,
      0.1201,
      0.2881,
      0,
      0,
      0,
      0.0672,
      0.2905,
      0.2054,
      0.4242,
      0.0818,
      0.1373,
      0.4017,
      0.4553,
      0.3938,
      0.3841,
      0.3852,
      0.4584,
      0.4472,
      0.3126,
      0.368,
      0.3571,
      0.0738,
      0.2578,
      0.1037,
      0.3081,
      0.5472,
      0.2406,
      0.44,
      0.146,
      0.2621,
      0.2665,
      0.2786,
      0.2974,
      0.2393,
      0.2606,
      0.2791,
      0.3642,
      0.2546,
      0.1569,
      0.1236,
      0.1659,
      0.2897,
      0.2042,
      0.1848,
      0.1478,
      0.1303,
      0.5031,
      0.5377,
      0.3923,
      0.4044,
      0.4734,
      0.1373,
      0.2886,
      0.333,
      0.3808,
      0.358,
      0.2021,
      0.0943,
      0.1369,
      0.4511,
      0.429,
      0.3366,
      0.2836,
      0.3877,
      0.396,
      0.3353,
      0.3892,
      0.2898,
      0.2171,
      0.3057,
      0.3211,
      0.412,
      0.3657,
      0.5306,
      0.4173,
      0.3837,
      0.2968,
      0.3322,
      0.3712,
      0.4129,
      0.4512,
      0.4166,
      0.2649,
      0.2504,
      0.2209,
      0.4099,
      0.4006,
      0.2602,
      0.2655,
      0.1608,
      0.2981,
      0.4351,
      0.2802,
      0.2474,
      0.2066,
      0.3179,
      0.5393,
      0.3939,
      0.5147,
      0.2421,
      0.3949,
      0.1798,
      0.3798,
      0.417,
      0.3783,
      0.2777,
      0.2148,
      0.2123,
      0.432,
      0.5275,
      0.5494,
      0.3794,
      0.2216,
      0.2439,
      0.3955,
      0.379,
      0.3623,
      0.181,
      0.2383,
      0.4839,
      0.4633,
      0.4314,
      0.319,
      0.3586,
      0.2811,
      0.4176,
      0.3041,
      0.5333,
      0.1591,
      0.3215,
      0.4504,
      0.4017,
      0.3384,
      0.3181,
      0.1646,
      0.3163,
      0.2573,
      0.3954,
      0.2784,
      0.3612,
      0.3964,
      0.4214,
      0.5049,
      0.3095,
      0.4597,
      0.3068,
      0.4749,
      0.2005,
      0.4867,
      0.4076,
      0.2878,
      0.3547,
      0.3816,
      0.3431,
      0.4186,
      0.5119,
      0.5278,
      0.3713,
      0.3342,
      0.2866,
      0.2789,
      0.1897,
      0.2922,
      0.2412,
      0.3914,
      0.3055,
      0.3096,
      0.3933,
      0.447,
      0.5251,
      0.4884,
      0.3493,
      0.3808,
      0.4151,
      0.1329,
      0.247,
      0.3643,
      0.3238,
      0.3739,
      0.5189,
      0.1871,
      0.114,
      0.2861,
      0.4767,
      0.3589,
      0.1645,
      0.3047,
      0.4044,
      0.3361,
      0.4442,
      0.3749,
      0.2554,
      0.1937,
      0.3939,
      0.6002,
      0.2706,
      0.3056,
      0.3007,
      0.2029,
      0.1763,
      0.1658,
      0.33,
      0.3719,
      0.3494,
      0.3338,
      0.3143,
      0.3234,
      0.4885,
      0.5037,
      0.1651,
      0.2501,
      0.3465,
      0.3603,
      0.3197,
      0.4061,
      0.4172,
      0.3717,
      0.3827,
      0.2793,
      0.4072,
      0.4616,
      0.5274,
      0.3028,
      0.4321,
      0.2067,
      0.3643,
      0.3379,
      0.3497,
      0.4564,
      0.3722,
      0.3446,
      0.289,
      0.5354,
      0.368,
      0.3897,
      0.3873,
      0.4167,
      0.3162,
      0.2766,
      0.4508,
      0.3222,
      0.5532,
      0.2435,
      0.5032,
      0.5525,
      0.478,
      0.4535,
      0.3818,
      0.4295,
      0.4632,
      0.4802,
      0.3,
      0.2191,
      0.3607,
      0.3211,
      0.2451,
      0.3668,
      0.2948,
      0.4821,
      0.4732,
      0.3557,
      0.4751,
      0.1623,
      0.2922,
      0.2169,
      0.2393,
      0.3723,
      0.0757,
      0.1957,
      0.2827,
      0.2192,
      0.2901,
      0.1566,
      0,
      0.144,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1265,
      0.2111,
      0,
      0.1619,
      0,
      0.0869,
      0.0488,
      0.2803,
      0.0394,
      0.0382,
      0,
      0,
      0,
      0.083,
      0.3006,
      0.1577,
      0,
      0,
      0.0358,
      0.3108,
      0,
      0.1779,
      0,
      0,
      0.3681,
      0.122,
      0.4124,
      0.0807,
      0.1491,
      0.3767,
      0.3708,
      0.4143,
      0.3822,
      0.3596,
      0.4949,
      0.4691,
      0.429,
      0.3152,
      0.2662,
      0.0702,
      0.2296,
      0.102,
      0.288,
      0.5343,
      0.2565,
      0.3906,
      0.1783,
      0.3024,
      0.2257,
      0.2974,
      0.191,
      0.2576,
      0.2482,
      0.297,
      0.3225,
      0.2774,
      0.1277,
      0.1186,
      0.2171,
      0.3425,
      0.1494,
      0.1724,
      0.0681,
      0.0682,
      0.459,
      0.4825,
      0.3841,
      0.3759,
      0.4053,
      0.1749,
      0.231,
      0.3026,
      0.3401,
      0.3555,
      0.1999,
      0.1498,
      0.1516,
      0.401,
      0.4081,
      0.3053,
      0.277,
      0.3853,
      0.4004,
      0.3331,
      0.4101,
      0.2289,
      0.2635,
      0.1738,
      0.214,
      0.3434,
      0.3496,
      0.4931,
      0.3343,
      0.4948,
      0.3296,
      0.3576,
      0.327,
      0.3841,
      0.4073,
      0.4378,
      0.2222,
      0.2627,
      0.2095,
      0.4288,
      0.3873,
      0.289,
      0.1331,
      0.1158,
      0.2253,
      0.3999,
      0.3117,
      0.309,
      0.147,
      0.3104,
      0.4052,
      0.4012,
      0.4753,
      0.314,
      0.3388,
      0.1319,
      0.2074,
      0.423,
      0.3616,
      0.2294,
      0.2047,
      0.2478,
      0.612,
      0.5158,
      0.459,
      0.3104,
      0.1776,
      0.1868,
      0.3147,
      0.3569,
      0.2912,
      0.2418,
      0.2592,
      0.5183,
      0.463,
      0.4129,
      0.279,
      0.2151,
      0.2548,
      0.4043,
      0.2608,
      0.485,
      0.2261,
      0.2629,
      0.3754,
      0.4474,
      0.3512,
      0.2626,
      0.2155,
      0.3851,
      0.2767,
      0.2688,
      0.3715,
      0.2832,
      0.3931,
      0.3468,
      0.5063,
      0.2844,
      0.3834,
      0.311,
      0.4365,
      0.2132,
      0.4553,
      0.4011,
      0.3124,
      0.3862,
      0.267,
      0.3197,
      0.3802,
      0.5005,
      0.5185,
      0.3014,
      0.4404,
      0.3216,
      0.2341,
      0.3145,
      0.2836,
      0.3513,
      0.3613,
      0.3257,
      0.2998,
      0.2978,
      0.4254,
      0.4614,
      0.4288,
      0.3616,
      0.3257,
      0.364,
      0.1,
      0.2103,
      0.4626,
      0.3707,
      0.3665,
      0.5082,
      0.1929,
      0.1899,
      0.3349,
      0.4124,
      0.3655,
      0.2043,
      0.3851,
      0.3931,
      0.3643,
      0.3864,
      0.3265,
      0.3725,
      0.2034,
      0.4355,
      0.574,
      0.217,
      0.1344,
      0.3771,
      0.2657,
      0.316,
      0.0861,
      0.2885,
      0.3286,
      0.3536,
      0.2713,
      0.1718,
      0.2621,
      0.4415,
      0.4903,
      0.1799,
      0.2691,
      0.3167,
      0.2937,
      0.3892,
      0.3297,
      0.4375,
      0.3504,
      0.3407,
      0.4194,
      0.4012,
      0.4604,
      0.5045,
      0.2907,
      0.4893,
      0.1953,
      0.2803,
      0.3644,
      0.3453,
      0.454,
      0.35,
      0.3051,
      0.2222,
      0.4925,
      0.482,
      0.4778,
      0.3566,
      0.4285,
      0.3472,
      0.178,
      0.444,
      0.3075,
      0.4569,
      0.2671,
      0.4584,
      0.5143,
      0.4914,
      0.4373,
      0.3206,
      0.4772,
      0.5931,
      0.4854,
      0.3518,
      0.2966,
      0.3617,
      0.2847,
      0.2324,
      0.3853,
      0.4262,
      0.5221,
      0.4316,
      0.372,
      0.4168,
      0.2082,
      0.1846,
      0.1806,
      0.3204,
      0.3159,
      0.1547,
      0.2266,
      0.2233,
      0.225,
      0.2452,
      0.1351,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1504,
      0.275,
      0,
      0.2044,
      0,
      0.0605,
      0.0267,
      0.1947,
      0,
      0.0945,
      0,
      0,
      0,
      0.0373,
      0.3561,
      0.1564,
      0,
      0.0339,
      0.0706,
      0.3635,
      0,
      0.0782,
      0,
      0.0893,
      0.2655,
      0.1922,
      0.3202,
      0.1204,
      0.0345,
      0.4055,
      0.448,
      0.3831,
      0.3628,
      0.3783,
      0.4692,
      0.4408,
      0.3129,
      0.3675,
      0.3111,
      0.1212,
      0.1784,
      0.1758,
      0.3164,
      0.4975,
      0.2662,
      0.3579,
      0.215,
      0.2962,
      0.2018,
      0.1938,
      0.2608,
      0.1958,
      0.2446,
      0.2929,
      0.2963,
      0.2661,
      0.1107,
      0.0561,
      0.1229,
      0.3474,
      0.1025,
      0.3009,
      0.0702,
      0.0888,
      0.5051,
      0.4716,
      0.4235,
      0.4184,
      0.4637,
      0.1294,
      0.2611,
      0.2904,
      0.2723,
      0.374,
      0.1562,
      0.1748,
      0.1805,
      0.4738,
      0.4444,
      0.3459,
      0.2253,
      0.3473,
      0.3801,
      0.2637,
      0.3627,
      0.2635,
      0.2509,
      0.2698,
      0.2194,
      0.3663,
      0.3557,
      0.5281,
      0.3108,
      0.5155,
      0.3353,
      0.3534,
      0.3397,
      0.4054,
      0.4307,
      0.4071,
      0.2503,
      0.3015,
      0.1887,
      0.3923,
      0.3565,
      0.3412,
      0.1972,
      0.1894,
      0.2805,
      0.409,
      0.3707,
      0.385,
      0.1957,
      0.3563,
      0.4002,
      0.4468,
      0.4815,
      0.2904,
      0.3161,
      0.1676,
      0.3284,
      0.4106,
      0.2801,
      0.3188,
      0.203,
      0.1901,
      0.4675,
      0.4728,
      0.4937,
      0.2949,
      0.3323,
      0.2769,
      0.3462,
      0.3778,
      0.3058,
      0.162,
      0.3938,
      0.5403,
      0.4131,
      0.4899,
      0.3259,
      0.359,
      0.3577,
      0.3768,
      0.2139,
      0.5373,
      0.2062,
      0.366,
      0.4491,
      0.391,
      0.3726,
      0.3383,
      0.3402,
      0.2535,
      0.2562,
      0.4325,
      0.3349,
      0.2945,
      0.4127,
      0.4152,
      0.5469,
      0.3281,
      0.4126,
      0.3399,
      0.3836,
      0.2018,
      0.446,
      0.3902,
      0.3862,
      0.3837,
      0.2949,
      0.3654,
      0.3839,
      0.4386,
      0.5384,
      0.3319,
      0.4499,
      0.3069,
      0.4108,
      0.3962,
      0.2861,
      0.3994,
      0.3345,
      0.3319,
      0.2781,
      0.3034,
      0.4449,
      0.4512,
      0.4534,
      0.3791,
      0.294,
      0.4082,
      0.1098,
      0.2635,
      0.3565,
      0.3315,
      0.4124,
      0.4354,
      0.2573,
      0.2499,
      0.3375,
      0.3212,
      0.3954,
      0.3005,
      0.2273,
      0.3965,
      0.4091,
      0.4883,
      0.3525,
      0.4126,
      0.1948,
      0.4126,
      0.5678,
      0.2271,
      0.2395,
      0.3457,
      0.23,
      0.283,
      0.1242,
      0.2841,
      0.2358,
      0.3086,
      0.3394,
      0.2452,
      0.3078,
      0.3869,
      0.4167,
      0.2393,
      0.3134,
      0.3293,
      0.3421,
      0.3922,
      0.3645,
      0.3711,
      0.3762,
      0.3653,
      0.4213,
      0.3606,
      0.3906,
      0.4982,
      0.4316,
      0.4893,
      0.3062,
      0.3032,
      0.3772,
      0.4031,
      0.4205,
      0.3396,
      0.2276,
      0.2449,
      0.4588,
      0.4011,
      0.41,
      0.3461,
      0.445,
      0.3384,
      0.1713,
      0.5115,
      0.3518,
      0.4613,
      0.2975,
      0.406,
      0.5352,
      0.4462,
      0.5327,
      0.3851,
      0.439,
      0.4159,
      0.456,
      0.4026,
      0.4049,
      0.4246,
      0.245,
      0.2393,
      0.226,
      0.3909,
      0.4809,
      0.4759,
      0.3002,
      0.3568,
      0.2894,
      0.278,
      0.249,
      0.3029,
      0.3117,
      0.1244,
      0.2416,
      0.2608,
      0.2695,
      0.2414,
      0.1587,
      0,
      0.0015,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0753,
      0.1742,
      0.0476,
      0.1541,
      0.0177,
      0.0587,
      0.1317,
      0.2144,
      0.1069,
      0.0398,
      0,
      0,
      0,
      0,
      0.3212,
      0.1557,
      0,
      0.0598,
      0.155,
      0.2653,
      0.003,
      0.1009,
      0,
      0.0456,
      0.2816,
      0.2313,
      0.3352,
      0.12,
      0.0998,
      0.3859,
      0.4537,
      0.3338,
      0.3341,
      0.3296,
      0.4752,
      0.4324,
      0.2597,
      0.3035,
      0.2853,
      0.1753,
      0.132,
      0.1547,
      0.3444,
      0.4948,
      0.257,
      0.4297,
      0.1559,
      0.3074,
      0.3756,
      0.2775,
      0.2515,
      0.2347,
      0.325,
      0.3541,
      0.3395,
      0.3051,
      0.1477,
      0.1188,
      0.1301,
      0.3003,
      0.1408,
      0.2827,
      0.1292,
      0.2064,
      0.4524,
      0.5179,
      0.383,
      0.4807,
      0.4928,
      0.3145,
      0.3329,
      0.3194,
      0.3152,
      0.3508,
      0.193,
      0.1653,
      0.2455,
      0.4779,
      0.4477,
      0.3452,
      0.3064,
      0.3559,
      0.3337,
      0.2399,
      0.3653,
      0.3744,
      0.2885,
      0.3489,
      0.2544,
      0.3625,
      0.2718,
      0.4697,
      0.4083,
      0.5246,
      0.3298,
      0.3709,
      0.3471,
      0.345,
      0.5055,
      0.4344,
      0.2134,
      0.2942,
      0.2359,
      0.3611,
      0.3582,
      0.2608,
      0.1912,
      0.1542,
      0.3172,
      0.3717,
      0.2593,
      0.4381,
      0.1836,
      0.3567,
      0.4438,
      0.4487,
      0.5253,
      0.221,
      0.347,
      0.1628,
      0.3459,
      0.3646,
      0.3427,
      0.179,
      0.2958,
      0.2222,
      0.4032,
      0.4327,
      0.4329,
      0.4163,
      0.351,
      0.3739,
      0.225,
      0.3163,
      0.2976,
      0.2775,
      0.3867,
      0.4417,
      0.3348,
      0.4438,
      0.3917,
      0.3395,
      0.3881,
      0.3143,
      0.3072,
      0.5422,
      0.2689,
      0.38,
      0.4029,
      0.5047,
      0.3409,
      0.3782,
      0.3919,
      0.3138,
      0.3094,
      0.4053,
      0.3558,
      0.2345,
      0.3093,
      0.4309,
      0.5492,
      0.4154,
      0.4765,
      0.3141,
      0.3926,
      0.2016,
      0.4981,
      0.4534,
      0.3719,
      0.3691,
      0.3901,
      0.3741,
      0.4364,
      0.5506,
      0.5022,
      0.3846,
      0.415,
      0.3799,
      0.3391,
      0.3053,
      0.3421,
      0.4815,
      0.4245,
      0.3771,
      0.4042,
      0.2378,
      0.4219,
      0.4451,
      0.5439,
      0.3575,
      0.3898,
      0.4382,
      0.2356,
      0.276,
      0.3692,
      0.3514,
      0.3945,
      0.4082,
      0.2211,
      0.2812,
      0.3101,
      0.4599,
      0.4124,
      0.2757,
      0.2586,
      0.3178,
      0.3668,
      0.4494,
      0.4056,
      0.3395,
      0.2126,
      0.2459,
      0.5468,
      0.2486,
      0.1899,
      0.2534,
      0.1857,
      0.2647,
      0.1456,
      0.3381,
      0.2683,
      0.3074,
      0.3827,
      0.2277,
      0.3938,
      0.4286,
      0.4701,
      0.2631,
      0.3729,
      0.4063,
      0.3917,
      0.3698,
      0.4048,
      0.4028,
      0.4095,
      0.3523,
      0.4063,
      0.4221,
      0.4264,
      0.5057,
      0.3693,
      0.3971,
      0.2735,
      0.3816,
      0.4228,
      0.358,
      0.4318,
      0.329,
      0.3463,
      0.2639,
      0.4938,
      0.5019,
      0.3676,
      0.4373,
      0.4285,
      0.3426,
      0.3969,
      0.4486,
      0.4002,
      0.4888,
      0.3647,
      0.3575,
      0.464,
      0.4699,
      0.4389,
      0.2858,
      0.382,
      0.4145,
      0.4277,
      0.3596,
      0.3378,
      0.3797,
      0.3059,
      0.2554,
      0.326,
      0.3925,
      0.4321,
      0.5169,
      0.372,
      0.3645,
      0.2604,
      0.2786,
      0.2054,
      0.317,
      0.3979,
      0.1847,
      0.2613,
      0.2647,
      0.2724,
      0.3229,
      0.3309,
      0.033,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1078,
      0.2606,
      0,
      0.0996,
      0,
      0.0804,
      0.0714,
      0.304,
      0.0368,
      0.0181,
      0,
      0.0125,
      0.0049,
      0,
      0.2854,
      0.1726,
      0,
      0.0057,
      0.2264,
      0.322,
      0,
      0.0625,
      0,
      0.0777,
      0.2642,
      0.1771,
      0.3865,
      0.0233,
      0.1919,
      0.416,
      0.3813,
      0.3254,
      0.3268,
      0.3231,
      0.4425,
      0.4447,
      0.2573,
      0.3756,
      0.2506,
      0.1005,
      0.1988,
      0.1281,
      0.3406,
      0.5344,
      0.1658,
      0.4581,
      0.1406,
      0.2658,
      0.4787,
      0.2671,
      0.3651,
      0.2121,
      0.2883,
      0.2473,
      0.3868,
      0.3142,
      0.2216,
      0.1269,
      0.1617,
      0.2976,
      0.1879,
      0.1931,
      0.1533,
      0.2627,
      0.5076,
      0.5172,
      0.3998,
      0.4534,
      0.4121,
      0.3061,
      0.2719,
      0.296,
      0.3993,
      0.3866,
      0.1942,
      0.264,
      0.2165,
      0.4487,
      0.4478,
      0.3335,
      0.3401,
      0.3603,
      0.4341,
      0.3755,
      0.3998,
      0.3852,
      0.2891,
      0.2176,
      0.205,
      0.365,
      0.3615,
      0.4736,
      0.4361,
      0.4856,
      0.4332,
      0.3411,
      0.3997,
      0.4011,
      0.6354,
      0.3977,
      0.2854,
      0.5771,
      0.2243,
      0.431,
      0.3623,
      0.2407,
      0.2116,
      0.2003,
      0.3363,
      0.5041,
      0.2688,
      0.25,
      0.1938,
      0.4316,
      0.5001,
      0.4015,
      0.5195,
      0.2769,
      0.3205,
      0.2177,
      0.322,
      0.478,
      0.4218,
      0.2581,
      0.3314,
      0.2412,
      0.4676,
      0.4428,
      0.4176,
      0.5237,
      0.3351,
      0.3736,
      0.3762,
      0.3364,
      0.35,
      0.2214,
      0.3508,
      0.4999,
      0.4475,
      0.4096,
      0.4279,
      0.6694,
      0.3552,
      0.3285,
      0.3833,
      0.3805,
      0.2601,
      0.3584,
      0.4215,
      0.414,
      0.4199,
      0.3511,
      0.3137,
      0.3081,
      0.3277,
      0.4196,
      0.4255,
      0.215,
      0.3802,
      0.5239,
      0.4959,
      0.4625,
      0.4851,
      0.3098,
      0.3747,
      0.3051,
      0.4599,
      0.4549,
      0.3733,
      0.3592,
      0.353,
      0.3879,
      0.4726,
      0.4943,
      0.5481,
      0.4283,
      0.4157,
      0.3825,
      0.3418,
      0.3322,
      0.3448,
      0.3814,
      0.4186,
      0.3403,
      0.4737,
      0.1464,
      0.4458,
      0.5174,
      0.5093,
      0.3496,
      0.4776,
      0.4593,
      0.2087,
      0.2355,
      0.3862,
      0.3231,
      0.3495,
      0.452,
      0.1524,
      0.2994,
      0.2015,
      0.3582,
      0.3961,
      0.2734,
      0.2831,
      0.3477,
      0.3102,
      0.4807,
      0.3143,
      0.3014,
      0.2801,
      0.3316,
      0.5075,
      0.278,
      0.2264,
      0.3097,
      0.276,
      0.2344,
      0.1948,
      0.4023,
      0.4162,
      0.3158,
      0.3337,
      0.2877,
      0.4252,
      0.4525,
      0.519,
      0.181,
      0.3619,
      0.417,
      0.3876,
      0.4246,
      0.4254,
      0.4871,
      0.4934,
      0.3559,
      0.5102,
      0.5082,
      0.4113,
      0.5299,
      0.4258,
      0.4584,
      0.3077,
      0.4342,
      0.4001,
      0.4026,
      0.392,
      0.2735,
      0.3655,
      0.2739,
      0.4765,
      0.4533,
      0.3748,
      0.4328,
      0.4758,
      0.3339,
      0.3168,
      0.4754,
      0.4378,
      0.4868,
      0.3062,
      0.4282,
      0.4822,
      0.4051,
      0.515,
      0.3143,
      0.5203,
      0.4366,
      0.4792,
      0.5128,
      0.3203,
      0.3384,
      0.3636,
      0.2683,
      0.3015,
      0.5514,
      0.4919,
      0.4965,
      0.4279,
      0.5162,
      0.2545,
      0.3039,
      0.1891,
      0.3021,
      0.4906,
      0.1231,
      0.2268,
      0.2767,
      0.263,
      0.267,
      0.2953,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0968,
      0.1535,
      0,
      0.0884,
      0.0132,
      0.1062,
      0.0021,
      0.3054,
      0.0214,
      0,
      0,
      0.0381,
      0,
      0,
      0.2608,
      0.1542,
      0,
      0.0283,
      0.1692,
      0.2706,
      0.0102,
      0.0424,
      0,
      0.0611,
      0.3521,
      0.1411,
      0.3928,
      0.1162,
      0.1343,
      0.3872,
      0.3799,
      0.3591,
      0.3733,
      0.3274,
      0.3326,
      0.4497,
      0.2643,
      0.3157,
      0.2494,
      0.0337,
      0.2042,
      0.2152,
      0.1927,
      0.5178,
      0.2557,
      0.4511,
      0.1162,
      0.2212,
      0.3909,
      0.2934,
      0.2695,
      0.2598,
      0.2776,
      0.3542,
      0.3523,
      0.3191,
      0.2102,
      0.1304,
      0.1503,
      0.2339,
      0.199,
      0.2457,
      0.1423,
      0.2809,
      0.5083,
      0.523,
      0.387,
      0.3945,
      0.299,
      0.2413,
      0.2587,
      0.2803,
      0.3225,
      0.4155,
      0.1905,
      0.1491,
      0.1866,
      0.4737,
      0.4822,
      0.2629,
      0.2336,
      0.4362,
      0.4616,
      0.3564,
      0.3429,
      0.3736,
      0.2382,
      0.1894,
      0.2564,
      0.285,
      0.3707,
      0.5122,
      0.3946,
      0.4854,
      0.2596,
      0.2873,
      0.3858,
      0.419,
      0.3667,
      0.3097,
      0.2892,
      0.3069,
      0.1751,
      0.3864,
      0.3852,
      0.2887,
      0.2317,
      0.1537,
      0.2309,
      0.4729,
      0.3059,
      0.2789,
      0.1715,
      0.4225,
      0.4561,
      0.4953,
      0.4999,
      0.3081,
      0.3974,
      0.2271,
      0.3286,
      0.4642,
      0.3561,
      0.3214,
      0.4273,
      0.3189,
      0.4112,
      0.4723,
      0.4334,
      0.4076,
      0.2572,
      0.3189,
      0.368,
      0.3435,
      0.3065,
      0.2251,
      0.28,
      0.4594,
      0.3844,
      0.3931,
      0.5082,
      0.6347,
      0.3672,
      0.3726,
      0.4723,
      0.4994,
      0.2276,
      0.327,
      0.407,
      0.4759,
      0.3505,
      0.2819,
      0.2672,
      0.3006,
      0.248,
      0.4314,
      0.4037,
      0.3258,
      0.3693,
      0.4165,
      0.5313,
      0.3696,
      0.4951,
      0.2439,
      0.3554,
      0.2567,
      0.4534,
      0.3792,
      0.3489,
      0.3343,
      0.3482,
      0.3259,
      0.3843,
      0.4562,
      0.5389,
      0.3308,
      0.4038,
      0.3101,
      0.2824,
      0.2386,
      0.2522,
      0.2849,
      0.4175,
      0.2975,
      0.3203,
      0.2727,
      0.3304,
      0.4661,
      0.4675,
      0.3044,
      0.3885,
      0.4461,
      0.1729,
      0.2355,
      0.408,
      0.3881,
      0.4051,
      0.433,
      0.229,
      0.2464,
      0.2742,
      0.443,
      0.3652,
      0.2681,
      0.2882,
      0.3863,
      0.3539,
      0.406,
      0.3487,
      0.3683,
      0.1782,
      0.2801,
      0.5068,
      0.2957,
      0.286,
      0.2299,
      0.242,
      0.194,
      0.3321,
      0.3793,
      0.2959,
      0.2481,
      0.4154,
      0.3332,
      0.3681,
      0.496,
      0.54,
      0.2243,
      0.3947,
      0.4222,
      0.4117,
      0.3867,
      0.4192,
      0.4185,
      0.3468,
      0.3186,
      0.459,
      0.4674,
      0.403,
      0.506,
      0.4584,
      0.4411,
      0.3508,
      0.4359,
      0.416,
      0.3259,
      0.3346,
      0.2909,
      0.3633,
      0.1674,
      0.5131,
      0.4322,
      0.4211,
      0.4365,
      0.4521,
      0.3102,
      0.2858,
      0.4765,
      0.3834,
      0.3958,
      0.3,
      0.4383,
      0.494,
      0.3312,
      0.4117,
      0.2936,
      0.4266,
      0.5765,
      0.5903,
      0.5468,
      0.3268,
      0.352,
      0.2564,
      0.225,
      0.2976,
      0.4593,
      0.4985,
      0.4881,
      0.4592,
      0.4095,
      0.187,
      0.2792,
      0.206,
      0.2081,
      0.3005,
      0.1369,
      0.2818,
      0.2781,
      0.277,
      0.3102,
      0.1224,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1524,
      0.2116,
      0,
      0.0973,
      0.0302,
      0.0242,
      0.0399,
      0.1785,
      0.0321,
      0.0272,
      0,
      0.0486,
      0,
      0,
      0.2395,
      0.1348,
      0.0123,
      0,
      0.0062,
      0.2445,
      0,
      0.0798,
      0,
      0.0016,
      0.3532,
      0.1502,
      0.2648,
      0.0786,
      0.1194,
      0.406,
      0.4222,
      0.376,
      0.3455,
      0.3476,
      0.5072,
      0.3692,
      0.4006,
      0.3245,
      0.3623,
      0.0713,
      0.1962,
      0.2219,
      0.2303,
      0.4996,
      0.2424,
      0.4128,
      0.1828,
      0.2418,
      0.2697,
      0.3678,
      0.1846,
      0.2482,
      0.233,
      0.318,
      0.3362,
      0.2874,
      0.1383,
      0.0618,
      0.167,
      0.3778,
      0.1015,
      0.1983,
      0.1821,
      0.2127,
      0.4254,
      0.468,
      0.3871,
      0.3653,
      0.4207,
      0.1316,
      0.2603,
      0.3534,
      0.3645,
      0.3306,
      0.2617,
      0.1505,
      0.1602,
      0.4786,
      0.4427,
      0.264,
      0.2211,
      0.4225,
      0.4554,
      0.3218,
      0.3167,
      0.3459,
      0.2342,
      0.1405,
      0.2462,
      0.2436,
      0.2879,
      0.5016,
      0.3738,
      0.4966,
      0.3128,
      0.3273,
      0.3672,
      0.4093,
      0.4248,
      0.4021,
      0.2641,
      0.2272,
      0.2154,
      0.4335,
      0.4135,
      0.2805,
      0.2123,
      0.192,
      0.3284,
      0.4115,
      0.3242,
      0.2887,
      0.1926,
      0.3781,
      0.5118,
      0.4577,
      0.5065,
      0.2991,
      0.3703,
      0.1411,
      0.3087,
      0.4521,
      0.424,
      0.3532,
      0.4929,
      0.2731,
      0.4473,
      0.4368,
      0.4033,
      0.2899,
      0.2346,
      0.2008,
      0.2591,
      0.3313,
      0.2426,
      0.1806,
      0.2202,
      0.5179,
      0.2858,
      0.4988,
      0.6346,
      0.4692,
      0.3925,
      0.3573,
      0.3562,
      0.4085,
      0.2693,
      0.288,
      0.4532,
      0.4061,
      0.3364,
      0.218,
      0.2043,
      0.2424,
      0.278,
      0.4157,
      0.3972,
      0.3211,
      0.4136,
      0.4492,
      0.4694,
      0.4046,
      0.4334,
      0.2335,
      0.4561,
      0.2395,
      0.4961,
      0.3234,
      0.3551,
      0.341,
      0.3584,
      0.3068,
      0.4258,
      0.5094,
      0.5512,
      0.3477,
      0.4006,
      0.288,
      0.2246,
      0.3275,
      0.2261,
      0.2927,
      0.4014,
      0.3779,
      0.3684,
      0.2401,
      0.3867,
      0.5236,
      0.5409,
      0.32,
      0.3983,
      0.4491,
      0.1667,
      0.2778,
      0.409,
      0.3706,
      0.4204,
      0.307,
      0.2333,
      0.2001,
      0.3075,
      0.4151,
      0.3175,
      0.2195,
      0.442,
      0.4255,
      0.3557,
      0.3829,
      0.4054,
      0.3337,
      0.2491,
      0.4027,
      0.4893,
      0.2852,
      0.2842,
      0.3062,
      0.3025,
      0.1835,
      0.1621,
      0.3342,
      0.3047,
      0.3428,
      0.3645,
      0.312,
      0.3695,
      0.4379,
      0.4714,
      0.2102,
      0.3499,
      0.3633,
      0.3948,
      0.45,
      0.3915,
      0.41,
      0.3393,
      0.3676,
      0.4826,
      0.4013,
      0.3532,
      0.5407,
      0.3954,
      0.4678,
      0.298,
      0.4684,
      0.3982,
      0.3037,
      0.2763,
      0.3084,
      0.3252,
      0.2582,
      0.4841,
      0.3194,
      0.3488,
      0.353,
      0.4273,
      0.2501,
      0.2439,
      0.4261,
      0.3733,
      0.4495,
      0.286,
      0.4605,
      0.4908,
      0.3702,
      0.4668,
      0.25,
      0.4769,
      0.4059,
      0.3968,
      0.2925,
      0.3432,
      0.2384,
      0.3634,
      0.2456,
      0.3132,
      0.3756,
      0.42,
      0.4589,
      0.4615,
      0.4334,
      0.2085,
      0.2315,
      0.2711,
      0.2931,
      0.3797,
      0.1729,
      0.1017,
      0.2569,
      0.2114,
      0.3838,
      0.1312,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1566,
      0.1768,
      0,
      0.1482,
      0.0238,
      0.038,
      0.0595,
      0.2719,
      0.0397,
      0.1434,
      0,
      0.136,
      0,
      0.0324,
      0.292,
      0.1643,
      0,
      0.0103,
      0.05,
      0.3988,
      0,
      0.1337,
      0,
      0,
      0.3577,
      0.1872,
      0.3187,
      0.0755,
      0.0929,
      0.3495,
      0.4419,
      0.3879,
      0.34,
      0.3147,
      0.474,
      0.3542,
      0.2995,
      0.3213,
      0.3021,
      0.0014,
      0.1633,
      0.2228,
      0.3838,
      0.5153,
      0.2323,
      0.4553,
      0.208,
      0.3051,
      0.2882,
      0.2946,
      0.2324,
      0.2403,
      0.1888,
      0.204,
      0.3949,
      0.2281,
      0.1313,
      0.1116,
      0.1508,
      0.2819,
      0.175,
      0.2194,
      0.1583,
      0.1852,
      0.5303,
      0.5189,
      0.3858,
      0.3845,
      0.4594,
      0.1759,
      0.2154,
      0.3806,
      0.4446,
      0.3392,
      0.1875,
      0.1428,
      0.2161,
      0.4108,
      0.4072,
      0.3448,
      0.2648,
      0.3056,
      0.4754,
      0.3149,
      0.377,
      0.3296,
      0.2947,
      0.3392,
      0.2409,
      0.266,
      0.3385,
      0.4842,
      0.3852,
      0.4616,
      0.3036,
      0.3353,
      0.3384,
      0.3847,
      0.4481,
      0.3914,
      0.2674,
      0.2621,
      0.1895,
      0.406,
      0.3812,
      0.3087,
      0.1516,
      0.1877,
      0.3231,
      0.4239,
      0.3401,
      0.2889,
      0.217,
      0.4004,
      0.434,
      0.4406,
      0.4457,
      0.2176,
      0.3079,
      0.2134,
      0.3178,
      0.4448,
      0.3965,
      0.3101,
      0.5062,
      0.3224,
      0.4512,
      0.5162,
      0.4338,
      0.2453,
      0.2078,
      0.2201,
      0.2905,
      0.3811,
      0.2947,
      0.2434,
      0.2781,
      0.4487,
      0.4049,
      0.4631,
      0.4897,
      0.3359,
      0.4069,
      0.3891,
      0.3291,
      0.3833,
      0.3363,
      0.3426,
      0.4251,
      0.4377,
      0.3961,
      0.3584,
      0.1952,
      0.3706,
      0.2583,
      0.4265,
      0.395,
      0.2831,
      0.3615,
      0.4505,
      0.4945,
      0.4328,
      0.4815,
      0.2822,
      0.5164,
      0.2993,
      0.4864,
      0.4133,
      0.3842,
      0.4081,
      0.3903,
      0.3557,
      0.4891,
      0.489,
      0.5319,
      0.3527,
      0.4022,
      0.3016,
      0.2745,
      0.2902,
      0.3238,
      0.2187,
      0.4148,
      0.3802,
      0.3359,
      0.4253,
      0.3843,
      0.5101,
      0.4608,
      0.3651,
      0.3423,
      0.3235,
      0.2156,
      0.2375,
      0.3596,
      0.3536,
      0.3689,
      0.3984,
      0.2099,
      0.2019,
      0.3098,
      0.4892,
      0.3705,
      0.2256,
      0.3222,
      0.349,
      0.3125,
      0.4406,
      0.3487,
      0.294,
      0.1611,
      0.3947,
      0.4871,
      0.2752,
      0.2342,
      0.4462,
      0.2986,
      0.4151,
      0.1655,
      0.3561,
      0.3503,
      0.2533,
      0.2841,
      0.3144,
      0.3721,
      0.4344,
      0.4661,
      0.2375,
      0.308,
      0.3332,
      0.3183,
      0.4455,
      0.3696,
      0.4859,
      0.3409,
      0.4083,
      0.4088,
      0.4475,
      0.3421,
      0.5097,
      0.354,
      0.5398,
      0.2705,
      0.3981,
      0.3324,
      0.438,
      0.4656,
      0.3157,
      0.2609,
      0.2187,
      0.5286,
      0.4229,
      0.3545,
      0.4246,
      0.4088,
      0.2532,
      0.2876,
      0.4084,
      0.297,
      0.5008,
      0.3097,
      0.4687,
      0.5338,
      0.3837,
      0.4609,
      0.2601,
      0.4916,
      0.4012,
      0.4192,
      0.3999,
      0.4242,
      0.3883,
      0.391,
      0.2015,
      0.4847,
      0.3496,
      0.4361,
      0.4569,
      0.5903,
      0.4263,
      0.1786,
      0.2471,
      0.2098,
      0.25,
      0.3671,
      0.1381,
      0.1235,
      0.2567,
      0.1815,
      0.2639,
      0.0466,
      0.0111,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1339,
      0.2371,
      0,
      0.1373,
      0.0091,
      0.0352,
      0.0405,
      0.2939,
      0.0969,
      0.0924,
      0,
      0.091,
      0,
      0,
      0.2042,
      0.1914,
      0,
      0,
      0.0238,
      0.3393,
      0,
      0.055,
      0,
      0.0183,
      0.3384,
      0.1386,
      0.3622,
      0.0378,
      0.1193,
      0.4278,
      0.3864,
      0.3631,
      0.4476,
      0.3151,
      0.4918,
      0.4949,
      0.285,
      0.3592,
      0.3608,
      0,
      0.2367,
      0.2236,
      0.3663,
      0.5405,
      0.1791,
      0.4027,
      0.1818,
      0.282,
      0.3283,
      0.2511,
      0.2627,
      0.2706,
      0.183,
      0.3546,
      0.4247,
      0.3096,
      0.1781,
      0.1093,
      0.1348,
      0.2833,
      0.1639,
      0.254,
      0.1117,
      0.2618,
      0.5025,
      0.5436,
      0.4494,
      0.425,
      0.503,
      0.0654,
      0.3183,
      0.2853,
      0.4006,
      0.3732,
      0.2178,
      0.1255,
      0.2235,
      0.3769,
      0.3524,
      0.3391,
      0.2812,
      0.3595,
      0.4306,
      0.3692,
      0.3915,
      0.2851,
      0.2636,
      0.2233,
      0.2802,
      0.3368,
      0.3558,
      0.4516,
      0.3848,
      0.4486,
      0.3404,
      0.3605,
      0.3487,
      0.4145,
      0.4311,
      0.4904,
      0.3162,
      0.2191,
      0.2324,
      0.4409,
      0.4111,
      0.3254,
      0.1836,
      0.1105,
      0.1857,
      0.4658,
      0.3061,
      0.3108,
      0.1826,
      0.4148,
      0.4462,
      0.4421,
      0.4899,
      0.2349,
      0.3562,
      0.2003,
      0.315,
      0.4449,
      0.3721,
      0.2866,
      0.3265,
      0.2643,
      0.4245,
      0.5244,
      0.4407,
      0.3477,
      0.2752,
      0.1849,
      0.3482,
      0.359,
      0.3257,
      0.1779,
      0.2634,
      0.4836,
      0.4145,
      0.4104,
      0.3832,
      0.2954,
      0.4521,
      0.4264,
      0.277,
      0.4967,
      0.3945,
      0.3683,
      0.5052,
      0.4172,
      0.3098,
      0.3174,
      0.3033,
      0.2376,
      0.258,
      0.4109,
      0.4007,
      0.2507,
      0.3776,
      0.4596,
      0.4651,
      0.4814,
      0.4898,
      0.3295,
      0.4903,
      0.289,
      0.4178,
      0.4338,
      0.3488,
      0.3283,
      0.3917,
      0.3981,
      0.454,
      0.5381,
      0.55,
      0.3624,
      0.3957,
      0.3375,
      0.2971,
      0.2217,
      0.2691,
      0.2703,
      0.4473,
      0.2891,
      0.4057,
      0.3783,
      0.3814,
      0.4488,
      0.5276,
      0.3809,
      0.3775,
      0.3938,
      0.2605,
      0.2645,
      0.3682,
      0.3864,
      0.4275,
      0.4346,
      0.1885,
      0.2563,
      0.3293,
      0.4309,
      0.3735,
      0.2931,
      0.2999,
      0.3623,
      0.3402,
      0.4751,
      0.3086,
      0.3462,
      0.1603,
      0.3218,
      0.5674,
      0.2633,
      0.24,
      0.3947,
      0.2924,
      0.4114,
      0.1937,
      0.348,
      0.2063,
      0.3138,
      0.26,
      0.2911,
      0.3409,
      0.4936,
      0.4845,
      0.2357,
      0.2923,
      0.4129,
      0.3585,
      0.3904,
      0.3875,
      0.4533,
      0.3088,
      0.3885,
      0.4497,
      0.4734,
      0.4239,
      0.5295,
      0.2957,
      0.4357,
      0.2588,
      0.3263,
      0.3802,
      0.4681,
      0.4412,
      0.4162,
      0.2702,
      0.1885,
      0.5103,
      0.3757,
      0.3734,
      0.4535,
      0.4436,
      0.3575,
      0.2878,
      0.4593,
      0.4273,
      0.5,
      0.2542,
      0.4749,
      0.4862,
      0.413,
      0.5155,
      0.2688,
      0.475,
      0.4401,
      0.3753,
      0.3208,
      0.3241,
      0.3749,
      0.3051,
      0.2476,
      0.6222,
      0.3509,
      0.4621,
      0.4677,
      0.448,
      0.383,
      0.2255,
      0.3442,
      0.2762,
      0.2905,
      0.3611,
      0.168,
      0.1267,
      0.2318,
      0.2195,
      0.2434,
      0.1182,
      0.009,
      0.0136,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0562,
      0.2517,
      0,
      0.25,
      0,
      0.0533,
      0.0514,
      0.3005,
      0.1688,
      0.1019,
      0,
      0.0635,
      0,
      0.0021,
      0.3141,
      0.1702,
      0,
      0,
      0.0345,
      0.2761,
      0,
      0,
      0,
      0.026,
      0.3582,
      0.1823,
      0.3792,
      0.1242,
      0.1497,
      0.3865,
      0.4139,
      0.4025,
      0.3078,
      0.3302,
      0.4696,
      0.4623,
      0.2167,
      0.3276,
      0.3717,
      0,
      0.1785,
      0.1824,
      0.2792,
      0.548,
      0.2558,
      0.4441,
      0.2327,
      0.2425,
      0.3155,
      0.2352,
      0.2769,
      0.206,
      0.203,
      0.2923,
      0.336,
      0.3004,
      0.1872,
      0.0864,
      0.1844,
      0.3669,
      0.1311,
      0.3597,
      0.0783,
      0.2426,
      0.5145,
      0.5107,
      0.4972,
      0.4428,
      0.4453,
      0.1773,
      0.2202,
      0.2571,
      0.3372,
      0.3606,
      0.2084,
      0.1386,
      0.236,
      0.4555,
      0.4582,
      0.3123,
      0.2784,
      0.3815,
      0.4452,
      0.3716,
      0.3845,
      0.4555,
      0.2759,
      0.1958,
      0.2182,
      0.3074,
      0.3134,
      0.5211,
      0.3701,
      0.4672,
      0.3624,
      0.3659,
      0.285,
      0.4281,
      0.4212,
      0.3868,
      0.2897,
      0.247,
      0.1842,
      0.4487,
      0.3564,
      0.297,
      0.2137,
      0.1136,
      0.1543,
      0.4453,
      0.3054,
      0.2722,
      0.0447,
      0.3758,
      0.444,
      0.4747,
      0.423,
      0.2798,
      0.4137,
      0.1913,
      0.3622,
      0.4888,
      0.3155,
      0.298,
      0.2433,
      0.2436,
      0.4622,
      0.5188,
      0.4196,
      0.3557,
      0.2313,
      0.2631,
      0.2823,
      0.3038,
      0.3499,
      0.1882,
      0.3776,
      0.4778,
      0.3954,
      0.5196,
      0.3148,
      0.3779,
      0.4297,
      0.4331,
      0.305,
      0.4894,
      0.5124,
      0.3439,
      0.4665,
      0.4396,
      0.3664,
      0.329,
      0.3504,
      0.3058,
      0.2685,
      0.4285,
      0.3798,
      0.2465,
      0.3921,
      0.3816,
      0.4971,
      0.4745,
      0.4338,
      0.3481,
      0.4687,
      0.1938,
      0.4722,
      0.4943,
      0.3541,
      0.4182,
      0.3273,
      0.306,
      0.4573,
      0.4982,
      0.6004,
      0.4011,
      0.3917,
      0.3515,
      0.3076,
      0.2165,
      0.2737,
      0.2843,
      0.3763,
      0.3789,
      0.3841,
      0.2736,
      0.4365,
      0.5355,
      0.4922,
      0.3485,
      0.3895,
      0.3959,
      0.2549,
      0.2987,
      0.4434,
      0.3499,
      0.3273,
      0.4303,
      0.2163,
      0.2112,
      0.2123,
      0.4551,
      0.3686,
      0.3362,
      0.2325,
      0.3473,
      0.3141,
      0.5159,
      0.2387,
      0.4533,
      0.256,
      0.3711,
      0.5686,
      0.3184,
      0.2544,
      0.2615,
      0.2763,
      0.3535,
      0.2349,
      0.3363,
      0.4351,
      0.3528,
      0.2984,
      0.2343,
      0.3941,
      0.5073,
      0.4359,
      0.1844,
      0.2961,
      0.3959,
      0.3793,
      0.3273,
      0.3827,
      0.4098,
      0.4065,
      0.3979,
      0.4118,
      0.4797,
      0.3796,
      0.5632,
      0.2491,
      0.4908,
      0.2768,
      0.3703,
      0.3678,
      0.3535,
      0.4618,
      0.3991,
      0.2713,
      0.2257,
      0.4284,
      0.3767,
      0.4057,
      0.4017,
      0.3858,
      0.3655,
      0.3508,
      0.4078,
      0.3522,
      0.5584,
      0.278,
      0.5096,
      0.4457,
      0.4095,
      0.4931,
      0.3112,
      0.4389,
      0.4991,
      0.4157,
      0.3095,
      0.3821,
      0.3751,
      0.2869,
      0.1969,
      0.3844,
      0.346,
      0.4476,
      0.5058,
      0.4427,
      0.4182,
      0.2612,
      0.3308,
      0.2673,
      0.3563,
      0.3676,
      0.2063,
      0.093,
      0.2426,
      0.2621,
      0.2186,
      0.1217,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.112,
      0.1903,
      0,
      0.1498,
      0,
      0.0689,
      0.0537,
      0.2672,
      0.1488,
      0.1058,
      0,
      0.0852,
      0,
      0,
      0.3686,
      0.2389,
      0,
      0.0184,
      0.0502,
      0.3419,
      0,
      0,
      0,
      0.0569,
      0.2792,
      0.1326,
      0.4101,
      0.1417,
      0.1782,
      0.3229,
      0.3971,
      0.3667,
      0.4053,
      0.3626,
      0.4647,
      0.4111,
      0.339,
      0.3559,
      0.2565,
      0.041,
      0.2035,
      0.2442,
      0.2797,
      0.48,
      0.2236,
      0.4226,
      0.2334,
      0.2463,
      0.2829,
      0.2469,
      0.3569,
      0.2277,
      0.1452,
      0.2599,
      0.2914,
      0.2745,
      0.1857,
      0.1058,
      0.2332,
      0.3774,
      0.1835,
      0.3034,
      0.0871,
      0.2012,
      0.5073,
      0.3943,
      0.4216,
      0.4673,
      0.4922,
      0.2292,
      0.2585,
      0.3734,
      0.4127,
      0.3448,
      0.2453,
      0.2004,
      0.2294,
      0.4025,
      0.4108,
      0.2851,
      0.2584,
      0.3736,
      0.4333,
      0.3525,
      0.4639,
      0.4011,
      0.2506,
      0.1895,
      0.1829,
      0.2774,
      0.3041,
      0.4701,
      0.3979,
      0.5076,
      0.323,
      0.3567,
      0.2964,
      0.3247,
      0.3731,
      0.4323,
      0.2895,
      0.2172,
      0.1918,
      0.3802,
      0.4599,
      0.2596,
      0.2092,
      0.1449,
      0.2265,
      0.5165,
      0.3037,
      0.2955,
      0.0503,
      0.4115,
      0.4525,
      0.3735,
      0.5191,
      0.2845,
      0.3727,
      0.2338,
      0.245,
      0.3964,
      0.3839,
      0.226,
      0.2851,
      0.2684,
      0.3737,
      0.461,
      0.5397,
      0.3117,
      0.2458,
      0.2625,
      0.3139,
      0.3668,
      0.3333,
      0.2046,
      0.3786,
      0.4968,
      0.4179,
      0.4589,
      0.3883,
      0.2888,
      0.478,
      0.4162,
      0.3304,
      0.4712,
      0.3052,
      0.3534,
      0.3888,
      0.4549,
      0.3844,
      0.2703,
      0.3368,
      0.2603,
      0.3794,
      0.3356,
      0.3752,
      0.3323,
      0.3653,
      0.4931,
      0.5127,
      0.402,
      0.4769,
      0.3428,
      0.3609,
      0.1433,
      0.4747,
      0.4677,
      0.3645,
      0.3383,
      0.2796,
      0.33,
      0.4265,
      0.5154,
      0.5977,
      0.3824,
      0.3829,
      0.3518,
      0.2439,
      0.2133,
      0.3029,
      0.2816,
      0.3031,
      0.4031,
      0.4853,
      0.2327,
      0.359,
      0.4564,
      0.485,
      0.4564,
      0.4613,
      0.4059,
      0.2153,
      0.2018,
      0.3392,
      0.2877,
      0.3922,
      0.4492,
      0.1662,
      0.3374,
      0.2696,
      0.4033,
      0.3617,
      0.3076,
      0.2575,
      0.3388,
      0.325,
      0.4421,
      0.291,
      0.4183,
      0.1969,
      0.3878,
      0.4993,
      0.2708,
      0.2373,
      0.2686,
      0.3101,
      0.3224,
      0.2284,
      0.4114,
      0.249,
      0.3538,
      0.3427,
      0.2925,
      0.4201,
      0.4224,
      0.4702,
      0.2645,
      0.4165,
      0.3221,
      0.3679,
      0.4625,
      0.3978,
      0.3686,
      0.3444,
      0.3949,
      0.4332,
      0.4666,
      0.4611,
      0.5455,
      0.3122,
      0.412,
      0.2791,
      0.3663,
      0.3665,
      0.3945,
      0.4031,
      0.3525,
      0.2988,
      0.2327,
      0.4161,
      0.3657,
      0.4062,
      0.3678,
      0.3337,
      0.3428,
      0.3384,
      0.3955,
      0.3349,
      0.4837,
      0.2312,
      0.4009,
      0.4992,
      0.4337,
      0.5206,
      0.3526,
      0.3542,
      0.5417,
      0.4405,
      0.2975,
      0.4319,
      0.418,
      0.2945,
      0.2219,
      0.3357,
      0.3989,
      0.3887,
      0.4421,
      0.3441,
      0.402,
      0.1908,
      0.3441,
      0.2747,
      0.2811,
      0.4147,
      0.1943,
      0.0798,
      0.2298,
      0.2602,
      0.274,
      0.1683,
      0.0319,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1475,
      0.2261,
      0,
      0.191,
      0.0695,
      0.0367,
      0.0409,
      0.2913,
      0.0346,
      0,
      0,
      0.0364,
      0.0307,
      0.0264,
      0.315,
      0.1997,
      0.0075,
      0.0242,
      0.1288,
      0.2955,
      0,
      0,
      0,
      0.0226,
      0.3078,
      0.2161,
      0.4515,
      0.1017,
      0.1933,
      0.4223,
      0.4115,
      0.3827,
      0.424,
      0.3743,
      0.4818,
      0.3309,
      0.2874,
      0.3437,
      0.3576,
      0,
      0.1715,
      0.2124,
      0.2977,
      0.4408,
      0.2184,
      0.396,
      0.2386,
      0.2927,
      0.2806,
      0.2255,
      0.3451,
      0.2601,
      0.2021,
      0.4028,
      0.3814,
      0.3133,
      0.078,
      0.0686,
      0.2489,
      0.1275,
      0.1647,
      0.2537,
      0.1505,
      0.2618,
      0.4952,
      0.5503,
      0.3971,
      0.4811,
      0.4644,
      0.1531,
      0.2925,
      0.3367,
      0.4176,
      0.4478,
      0.2537,
      0.2819,
      0.2988,
      0.4039,
      0.3903,
      0.3037,
      0.2306,
      0.3425,
      0.4703,
      0.3055,
      0.352,
      0.326,
      0.2766,
      0.328,
      0.2501,
      0.2767,
      0.2884,
      0.4763,
      0.3764,
      0.483,
      0.3753,
      0.348,
      0.3623,
      0.365,
      0.3634,
      0.4633,
      0.3243,
      0.2556,
      0.24,
      0.4509,
      0.4296,
      0.2533,
      0.1855,
      0.0975,
      0.2855,
      0.5105,
      0.3085,
      0.2508,
      0.1515,
      0.3808,
      0.4296,
      0.3723,
      0.4857,
      0.2356,
      0.312,
      0.23,
      0.3833,
      0.428,
      0.3752,
      0.2739,
      0.2785,
      0.2758,
      0.4094,
      0.517,
      0.4743,
      0.3772,
      0.2893,
      0.3207,
      0.3388,
      0.3334,
      0.2882,
      0.2467,
      0.3759,
      0.4833,
      0.4163,
      0.4906,
      0.3388,
      0.3394,
      0.4759,
      0.3718,
      0.3428,
      0.519,
      0.2609,
      0.3205,
      0.3932,
      0.3545,
      0.3579,
      0.2501,
      0.3377,
      0.2845,
      0.2973,
      0.3783,
      0.4195,
      0.3724,
      0.3399,
      0.4511,
      0.4357,
      0.3503,
      0.4432,
      0.3123,
      0.4165,
      0.218,
      0.4572,
      0.3983,
      0.3621,
      0.3011,
      0.3083,
      0.4095,
      0.3821,
      0.535,
      0.5249,
      0.3556,
      0.3396,
      0.3543,
      0.2499,
      0.1986,
      0.2395,
      0.3884,
      0.439,
      0.3548,
      0.415,
      0.3651,
      0.3242,
      0.4212,
      0.4969,
      0.3574,
      0.3839,
      0.427,
      0.246,
      0.2826,
      0.3885,
      0.3232,
      0.4385,
      0.4365,
      0.308,
      0.3298,
      0.2614,
      0.3984,
      0.3511,
      0.267,
      0.2978,
      0.3544,
      0.3099,
      0.4273,
      0.3304,
      0.335,
      0.2303,
      0.3678,
      0.5452,
      0.2493,
      0.2114,
      0.3096,
      0.3492,
      0.2731,
      0.2644,
      0.4055,
      0.2736,
      0.3386,
      0.3717,
      0.3104,
      0.3918,
      0.4539,
      0.4851,
      0.2314,
      0.4193,
      0.3728,
      0.3431,
      0.4198,
      0.3649,
      0.3105,
      0.353,
      0.3595,
      0.4176,
      0.483,
      0.4621,
      0.4496,
      0.3718,
      0.4899,
      0.2628,
      0.3886,
      0.4206,
      0.4072,
      0.3664,
      0.3474,
      0.4189,
      0.2526,
      0.5083,
      0.4502,
      0.4089,
      0.2756,
      0.4196,
      0.3379,
      0.3718,
      0.4745,
      0.3184,
      0.5228,
      0.4014,
      0.3938,
      0.3913,
      0.4603,
      0.4892,
      0.3195,
      0.473,
      0.5135,
      0.3965,
      0.3008,
      0.4171,
      0.375,
      0.3158,
      0.222,
      0.3286,
      0.3794,
      0.4178,
      0.4259,
      0.3615,
      0.3787,
      0.2395,
      0.3511,
      0.2059,
      0.3328,
      0.3495,
      0.1856,
      0.1629,
      0.2052,
      0.1963,
      0.228,
      0.1747,
      0.0352,
      0.0718,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1186,
      0.2751,
      0,
      0.1697,
      0.008,
      0,
      0.062,
      0.2722,
      0.0308,
      0,
      0,
      0.0513,
      0,
      0.0401,
      0.2893,
      0.1918,
      0,
      0.0331,
      0.0148,
      0.2798,
      0,
      0,
      0,
      0,
      0.4172,
      0.2297,
      0.3088,
      0.1142,
      0.2156,
      0.4035,
      0.4525,
      0.3109,
      0.356,
      0.3606,
      0.4863,
      0.3983,
      0.337,
      0.3449,
      0.3154,
      0,
      0.1208,
      0.1684,
      0.1892,
      0.5179,
      0.2412,
      0.4225,
      0.1865,
      0.3218,
      0.2813,
      0.2962,
      0.1859,
      0.221,
      0.3189,
      0.3864,
      0.3674,
      0.2491,
      0.1652,
      0.1322,
      0.281,
      0.2315,
      0.2233,
      0.2761,
      0.0973,
      0.2076,
      0.476,
      0.5675,
      0.4162,
      0.3949,
      0.4337,
      0.1294,
      0.2501,
      0.3682,
      0.3259,
      0.3871,
      0.2277,
      0.2073,
      0.2233,
      0.3685,
      0.435,
      0.2683,
      0.2097,
      0.3818,
      0.422,
      0.2381,
      0.3318,
      0.3514,
      0.2263,
      0.139,
      0.1989,
      0.2462,
      0.322,
      0.4975,
      0.3943,
      0.4237,
      0.3669,
      0.3406,
      0.3361,
      0.3689,
      0.3961,
      0.4368,
      0.3373,
      0.2248,
      0.2073,
      0.429,
      0.3566,
      0.2877,
      0.1978,
      0.1684,
      0.2657,
      0.3331,
      0.3042,
      0.3212,
      0.1592,
      0.3183,
      0.3929,
      0.3982,
      0.4665,
      0.2314,
      0.2946,
      0.232,
      0.2298,
      0.3031,
      0.3625,
      0.2633,
      0.2767,
      0.1542,
      0.4375,
      0.508,
      0.4668,
      0.297,
      0.2817,
      0.2438,
      0.3267,
      0.3129,
      0.2508,
      0.1693,
      0.3624,
      0.5027,
      0.4459,
      0.476,
      0.2378,
      0.2551,
      0.4329,
      0.3774,
      0.2788,
      0.5074,
      0.2087,
      0.3003,
      0.4144,
      0.4118,
      0.3768,
      0.3225,
      0.2051,
      0.2131,
      0.2688,
      0.3358,
      0.3769,
      0.2982,
      0.3164,
      0.4615,
      0.4488,
      0.4632,
      0.3889,
      0.3214,
      0.4081,
      0.2085,
      0.4981,
      0.3705,
      0.4334,
      0.3747,
      0.3309,
      0.3839,
      0.3584,
      0.4545,
      0.5611,
      0.3614,
      0.3978,
      0.3268,
      0.2825,
      0.2972,
      0.1446,
      0.407,
      0.3744,
      0.3312,
      0.3367,
      0.1954,
      0.3452,
      0.5066,
      0.5218,
      0.3002,
      0.3413,
      0.3735,
      0.2558,
      0.2365,
      0.3095,
      0.2732,
      0.3804,
      0.4563,
      0.3088,
      0.2623,
      0.3692,
      0.3885,
      0.3949,
      0.2701,
      0.3008,
      0.3655,
      0.2902,
      0.396,
      0.2905,
      0.3192,
      0.1882,
      0.3952,
      0.5546,
      0.3196,
      0.3364,
      0.3519,
      0.3651,
      0.2543,
      0.2211,
      0.36,
      0.2812,
      0.2829,
      0.338,
      0.2299,
      0.3673,
      0.4767,
      0.4574,
      0.1969,
      0.4394,
      0.3798,
      0.3053,
      0.4007,
      0.3957,
      0.2976,
      0.4091,
      0.3486,
      0.3939,
      0.4576,
      0.4436,
      0.5238,
      0.3469,
      0.4357,
      0.2763,
      0.424,
      0.3445,
      0.3746,
      0.4451,
      0.3794,
      0.4169,
      0.3346,
      0.5458,
      0.3768,
      0.4006,
      0.3338,
      0.3296,
      0.2615,
      0.3269,
      0.523,
      0.3867,
      0.4707,
      0.3461,
      0.4384,
      0.4865,
      0.376,
      0.4737,
      0.4795,
      0.4777,
      0.4976,
      0.3062,
      0.2906,
      0.4101,
      0.3122,
      0.3671,
      0.2095,
      0.3579,
      0.4113,
      0.4765,
      0.4179,
      0.3402,
      0.433,
      0.3046,
      0.3124,
      0.2162,
      0.2888,
      0.3345,
      0.1927,
      0.2147,
      0.1888,
      0.2533,
      0.2329,
      0.2576,
      0.0608,
      0.0788,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0309,
      0.251,
      0,
      0.112,
      0.0663,
      0.0616,
      0.0277,
      0.2514,
      0.0355,
      0.0396,
      0,
      0.0638,
      0,
      0,
      0.286,
      0.1939,
      0.0611,
      0.0348,
      0,
      0.3417,
      0,
      0.0011,
      0,
      0,
      0.3166,
      0.1635,
      0.3545,
      0.1301,
      0.2619,
      0.3641,
      0.3974,
      0.3834,
      0.3538,
      0.3598,
      0.4391,
      0.3676,
      0.3452,
      0.3633,
      0.2663,
      0,
      0.0981,
      0.1868,
      0.3211,
      0.5132,
      0.2008,
      0.4117,
      0.1491,
      0.2838,
      0.437,
      0.3197,
      0.1501,
      0.1998,
      0.2504,
      0.2659,
      0.2625,
      0.2846,
      0.1127,
      0.1043,
      0.2774,
      0.2914,
      0.1517,
      0.2605,
      0.1513,
      0.1754,
      0.4693,
      0.4738,
      0.3952,
      0.3269,
      0.3816,
      0.1264,
      0.3138,
      0.2447,
      0.274,
      0.2918,
      0.1167,
      0.1616,
      0.1605,
      0.4293,
      0.4196,
      0.2441,
      0.1819,
      0.38,
      0.3476,
      0.2247,
      0.3481,
      0.2588,
      0.2282,
      0.1333,
      0.2449,
      0.3022,
      0.2391,
      0.4818,
      0.3389,
      0.4109,
      0.2237,
      0.3805,
      0.3156,
      0.3849,
      0.393,
      0.3961,
      0.2493,
      0.2227,
      0.1788,
      0.4978,
      0.3604,
      0.2119,
      0.1435,
      0.219,
      0.182,
      0.3326,
      0.2626,
      0.4303,
      0.1658,
      0.3413,
      0.4393,
      0.327,
      0.4995,
      0.1855,
      0.3759,
      0.2537,
      0.3001,
      0.4063,
      0.3395,
      0.0945,
      0.3066,
      0.2289,
      0.4596,
      0.5024,
      0.3979,
      0.2961,
      0.2392,
      0.1726,
      0.3223,
      0.3655,
      0.324,
      0.1476,
      0.3872,
      0.4917,
      0.3926,
      0.443,
      0.2677,
      0.2929,
      0.3596,
      0.3609,
      0.3135,
      0.5207,
      0.1156,
      0.2418,
      0.3864,
      0.4114,
      0.3111,
      0.2623,
      0.1566,
      0.2899,
      0.2187,
      0.3286,
      0.3422,
      0.2887,
      0.3373,
      0.4757,
      0.3798,
      0.3984,
      0.4334,
      0.2861,
      0.3734,
      0.1915,
      0.4307,
      0.4442,
      0.3362,
      0.3673,
      0.3047,
      0.3282,
      0.3623,
      0.4913,
      0.4365,
      0.3002,
      0.2803,
      0.2859,
      0.21,
      0.2317,
      0.232,
      0.4413,
      0.3412,
      0.3359,
      0.248,
      0.2339,
      0.3972,
      0.4924,
      0.4323,
      0.3182,
      0.3789,
      0.3469,
      0.148,
      0.1751,
      0.3344,
      0.3347,
      0.3447,
      0.4923,
      0.2304,
      0.1839,
      0.3046,
      0.3596,
      0.3644,
      0.2924,
      0.3068,
      0.3464,
      0.3129,
      0.4217,
      0.2816,
      0.3534,
      0.137,
      0.3234,
      0.5414,
      0.2622,
      0.2109,
      0.4666,
      0.3812,
      0.4201,
      0.2297,
      0.3871,
      0.3475,
      0.3117,
      0.1734,
      0.2742,
      0.3751,
      0.4417,
      0.4817,
      0.2546,
      0.4082,
      0.3368,
      0.3285,
      0.3555,
      0.3421,
      0.4201,
      0.4406,
      0.3226,
      0.3077,
      0.4149,
      0.4,
      0.4669,
      0.3344,
      0.5052,
      0.2383,
      0.404,
      0.3499,
      0.3115,
      0.4205,
      0.3502,
      0.351,
      0.3388,
      0.44,
      0.3665,
      0.3204,
      0.2371,
      0.3255,
      0.2465,
      0.1435,
      0.4896,
      0.3773,
      0.444,
      0.3625,
      0.3943,
      0.4481,
      0.3616,
      0.4546,
      0.356,
      0.3718,
      0.4818,
      0.4075,
      0.3337,
      0.378,
      0.405,
      0.396,
      0.2418,
      0.3109,
      0.2673,
      0.4193,
      0.3489,
      0.386,
      0.4284,
      0.2447,
      0.2777,
      0.1966,
      0.2325,
      0.3342,
      0.1607,
      0.1989,
      0.2195,
      0.1871,
      0.2084,
      0.1026,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.093,
      0.2566,
      0.0026,
      0.1045,
      0.0836,
      0.0461,
      0.1037,
      0.2514,
      0,
      0,
      0,
      0.1061,
      0,
      0.0301,
      0.2085,
      0.0997,
      0.0026,
      0.0281,
      0,
      0.3535,
      0,
      0.0268,
      0.0257,
      0,
      0.3592,
      0.1563,
      0.379,
      0.0814,
      0.2452,
      0.4565,
      0.3671,
      0.3323,
      0.2886,
      0.3371,
      0.4764,
      0.4125,
      0.3357,
      0.4362,
      0.2857,
      0,
      0.1074,
      0.187,
      0.3118,
      0.5225,
      0.2061,
      0.3883,
      0.1235,
      0.2835,
      0.3813,
      0.3966,
      0.1823,
      0.242,
      0.2556,
      0.3757,
      0.3782,
      0.2123,
      0.1077,
      0.0707,
      0.2756,
      0.2903,
      0.1324,
      0.2889,
      0.1436,
      0.0821,
      0.4144,
      0.4714,
      0.3474,
      0.4598,
      0.4085,
      0.2505,
      0.2952,
      0.3039,
      0.3092,
      0.3635,
      0.174,
      0.1663,
      0.2463,
      0.4568,
      0.3706,
      0.2867,
      0.3569,
      0.4502,
      0.4491,
      0.2542,
      0.3887,
      0.2492,
      0.2547,
      0.1934,
      0.2152,
      0.3431,
      0.2338,
      0.4738,
      0.3723,
      0.4921,
      0.2603,
      0.3684,
      0.3325,
      0.3481,
      0.4235,
      0.3525,
      0.2807,
      0.2545,
      0.1771,
      0.4309,
      0.2952,
      0.1984,
      0.1109,
      0.1192,
      0.1604,
      0.3219,
      0.2653,
      0.2464,
      0.1306,
      0.32,
      0.4713,
      0.3387,
      0.4987,
      0.2345,
      0.3059,
      0.1713,
      0.2763,
      0.3734,
      0.3067,
      0.2746,
      0.3001,
      0.2097,
      0.432,
      0.4054,
      0.3734,
      0.3713,
      0.2384,
      0.3403,
      0.3205,
      0.2664,
      0.2502,
      0.2282,
      0.3784,
      0.5002,
      0.4325,
      0.4361,
      0.3548,
      0.3179,
      0.3574,
      0.3086,
      0.3559,
      0.4197,
      0.1391,
      0.3412,
      0.384,
      0.3936,
      0.349,
      0.2333,
      0.2719,
      0.3524,
      0.2125,
      0.2608,
      0.3239,
      0.2681,
      0.3671,
      0.4665,
      0.4824,
      0.3568,
      0.434,
      0.2419,
      0.4278,
      0.2264,
      0.4764,
      0.4637,
      0.2672,
      0.3916,
      0.267,
      0.3069,
      0.3915,
      0.5041,
      0.4933,
      0.2572,
      0.2865,
      0.3025,
      0.4116,
      0.1692,
      0.2579,
      0.2529,
      0.3169,
      0.3817,
      0.3223,
      0.3186,
      0.438,
      0.4553,
      0.4177,
      0.2924,
      0.4667,
      0.3775,
      0.3089,
      0.2266,
      0.2164,
      0.3084,
      0.3791,
      0.4212,
      0.2322,
      0.2299,
      0.3381,
      0.4487,
      0.3078,
      0.4093,
      0.3312,
      0.319,
      0.2788,
      0.4275,
      0.3209,
      0.3834,
      0.1365,
      0.339,
      0.441,
      0.3277,
      0.2441,
      0.3533,
      0.2862,
      0.3812,
      0.1528,
      0.412,
      0.3582,
      0.379,
      0.2221,
      0.3072,
      0.3289,
      0.4144,
      0.3737,
      0.217,
      0.412,
      0.4,
      0.3861,
      0.3523,
      0.4429,
      0.3706,
      0.3789,
      0.3517,
      0.4191,
      0.4078,
      0.4575,
      0.4831,
      0.3817,
      0.4238,
      0.2987,
      0.3813,
      0.3792,
      0.3011,
      0.4359,
      0.4631,
      0.3869,
      0.3184,
      0.4985,
      0.3339,
      0.3394,
      0.3798,
      0.3461,
      0.2543,
      0.3838,
      0.447,
      0.3652,
      0.5085,
      0.3403,
      0.476,
      0.4381,
      0.3262,
      0.4725,
      0.3087,
      0.45,
      0.4994,
      0.4736,
      0.3877,
      0.3731,
      0.4094,
      0.3687,
      0.2493,
      0.3669,
      0.395,
      0.4253,
      0.3938,
      0.404,
      0.4468,
      0.3487,
      0.3425,
      0.1717,
      0.3327,
      0.3402,
      0.2884,
      0.2234,
      0.2673,
      0.3332,
      0.2565,
      0.0892,
      0.0032,
      0.0585,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1524,
      0.1916,
      0.0118,
      0.2039,
      0,
      0.101,
      0.0759,
      0.2757,
      0.0945,
      0,
      0,
      0.0158,
      0,
      0.0421,
      0.3344,
      0.1256,
      0.006,
      0.0617,
      0.0467,
      0.2633,
      0,
      0.0623,
      0,
      0.0451,
      0.2912,
      0.1718,
      0.37,
      0.1272,
      0.2825,
      0.3893,
      0.362,
      0.3745,
      0.2878,
      0.3381,
      0.4614,
      0.4347,
      0.4184,
      0.3415,
      0.3207,
      0,
      0.1455,
      0.231,
      0.2705,
      0.5039,
      0.2878,
      0.3523,
      0.1499,
      0.2278,
      0.2639,
      0.3721,
      0.2162,
      0.2759,
      0.2347,
      0.3921,
      0.3852,
      0.2575,
      0.1168,
      0.0348,
      0.2987,
      0.3033,
      0.1179,
      0.3351,
      0.0879,
      0.1921,
      0.4784,
      0.4251,
      0.3047,
      0.3685,
      0.3721,
      0.2257,
      0.2991,
      0.3041,
      0.2972,
      0.3872,
      0.2457,
      0.1777,
      0.2348,
      0.4106,
      0.3901,
      0.1992,
      0.2285,
      0.3768,
      0.4331,
      0.2444,
      0.3931,
      0.3477,
      0.3162,
      0.3498,
      0.1386,
      0.3609,
      0.2424,
      0.4538,
      0.366,
      0.4766,
      0.247,
      0.3323,
      0.2887,
      0.366,
      0.3797,
      0.4026,
      0.2596,
      0.0859,
      0.1706,
      0.4175,
      0.3536,
      0.2934,
      0.2045,
      0.1115,
      0.1828,
      0.399,
      0.2168,
      0.1864,
      0.0497,
      0.2924,
      0.4409,
      0.3442,
      0.5193,
      0.2367,
      0.1761,
      0.0634,
      0.2668,
      0.345,
      0.3284,
      0.209,
      0.2761,
      0.1595,
      0.5979,
      0.5412,
      0.3416,
      0.2636,
      0.2341,
      0.3654,
      0.2782,
      0.2482,
      0.2995,
      0.1,
      0.3373,
      0.507,
      0.3311,
      0.3682,
      0.3475,
      0.2946,
      0.3645,
      0.3448,
      0.3143,
      0.4563,
      0.1697,
      0.319,
      0.2766,
      0.3659,
      0.3206,
      0.2251,
      0.335,
      0.247,
      0.27,
      0.3782,
      0.2978,
      0.2904,
      0.3682,
      0.2781,
      0.5364,
      0.2802,
      0.4939,
      0.2244,
      0.4955,
      0.1808,
      0.458,
      0.4555,
      0.2626,
      0.36,
      0.3341,
      0.2621,
      0.4041,
      0.5051,
      0.5142,
      0.2464,
      0.2587,
      0.2302,
      0.2553,
      0.289,
      0.2571,
      0.2967,
      0.3851,
      0.2805,
      0.3444,
      0.4218,
      0.3876,
      0.4336,
      0.527,
      0.3074,
      0.3875,
      0.4104,
      0.236,
      0.1703,
      0.385,
      0.3525,
      0.3672,
      0.3679,
      0.1271,
      0.1603,
      0.3795,
      0.4074,
      0.3496,
      0.3175,
      0.3837,
      0.3128,
      0.2968,
      0.454,
      0.2829,
      0.4402,
      0.1749,
      0.35,
      0.5162,
      0.2413,
      0.1952,
      0.2576,
      0.2778,
      0.2959,
      0.2629,
      0.3389,
      0.2784,
      0.3154,
      0.1457,
      0.291,
      0.3798,
      0.4428,
      0.4587,
      0.2669,
      0.3552,
      0.2435,
      0.274,
      0.3517,
      0.3639,
      0.4337,
      0.3633,
      0.4131,
      0.3848,
      0.3503,
      0.4823,
      0.4276,
      0.3512,
      0.3936,
      0.2363,
      0.4446,
      0.4638,
      0.2999,
      0.4412,
      0.401,
      0.3553,
      0.2804,
      0.4466,
      0.3604,
      0.3407,
      0.2077,
      0.3283,
      0.1876,
      0.2749,
      0.4704,
      0.2554,
      0.4574,
      0.3656,
      0.458,
      0.4608,
      0.3543,
      0.4287,
      0.2671,
      0.473,
      0.4925,
      0.4799,
      0.4137,
      0.3979,
      0.3623,
      0.4046,
      0.2504,
      0.3936,
      0.3284,
      0.5013,
      0.4354,
      0.3798,
      0.4712,
      0.3319,
      0.3001,
      0.0941,
      0.265,
      0.3713,
      0.2188,
      0.233,
      0.253,
      0.2617,
      0.2054,
      0.0978,
      0.1032,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1485,
      0.253,
      0,
      0.1433,
      0.0254,
      0.0375,
      0.0687,
      0.3157,
      0.1307,
      0.003,
      0,
      0,
      0,
      0,
      0.3617,
      0.193,
      0,
      0.064,
      0.1359,
      0.3363,
      0,
      0,
      0,
      0.051,
      0.2866,
      0.1828,
      0.3563,
      0.0823,
      0.2842,
      0.3851,
      0.356,
      0.3283,
      0.3907,
      0.3344,
      0.4683,
      0.4426,
      0.3033,
      0.3563,
      0.3353,
      0.023,
      0.2011,
      0.1792,
      0.2916,
      0.5179,
      0.2568,
      0.4113,
      0.2039,
      0.3284,
      0.1913,
      0.2909,
      0.3079,
      0.2312,
      0.2146,
      0.3028,
      0.3602,
      0.2887,
      0.1301,
      0.1128,
      0.302,
      0.2902,
      0.1642,
      0.4043,
      0.0772,
      0.1944,
      0.4678,
      0.4792,
      0.2997,
      0.297,
      0.3981,
      0.0811,
      0.2589,
      0.2741,
      0.3096,
      0.3104,
      0.1538,
      0.0855,
      0.1944,
      0.4371,
      0.368,
      0.2407,
      0.1605,
      0.3364,
      0.3954,
      0.2563,
      0.3567,
      0.356,
      0.3303,
      0.132,
      0.2106,
      0.404,
      0.273,
      0.5195,
      0.3886,
      0.4713,
      0.3215,
      0.3277,
      0.2774,
      0.343,
      0.3705,
      0.3268,
      0.1981,
      0.3847,
      0.1668,
      0.499,
      0.4179,
      0.211,
      0.1551,
      0.1329,
      0.2559,
      0.3149,
      0.229,
      0.1682,
      0.0957,
      0.3982,
      0.4835,
      0.3343,
      0.4919,
      0.1708,
      0.3627,
      0.2219,
      0.2867,
      0.3923,
      0.3373,
      0.2707,
      0.3685,
      0.247,
      0.4051,
      0.4443,
      0.4624,
      0.3968,
      0.232,
      0.2122,
      0.3634,
      0.3114,
      0.3287,
      0.1945,
      0.3026,
      0.488,
      0.3212,
      0.4284,
      0.2066,
      0.3078,
      0.3286,
      0.3108,
      0.2786,
      0.4579,
      0.2198,
      0.3386,
      0.3297,
      0.3403,
      0.2961,
      0.2692,
      0.2426,
      0.289,
      0.2646,
      0.3869,
      0.2722,
      0.3581,
      0.33,
      0.3902,
      0.5112,
      0.3937,
      0.4839,
      0.2703,
      0.4946,
      0.178,
      0.4943,
      0.4498,
      0.2959,
      0.3333,
      0.352,
      0.3226,
      0.3997,
      0.5337,
      0.4849,
      0.3749,
      0.3724,
      0.1744,
      0.2553,
      0.1732,
      0.2154,
      0.2337,
      0.3783,
      0.3309,
      0.4211,
      0.3076,
      0.4039,
      0.4678,
      0.4038,
      0.3769,
      0.3739,
      0.3813,
      0.1185,
      0.2377,
      0.4573,
      0.2631,
      0.3358,
      0.4153,
      0.1743,
      0.1565,
      0.3698,
      0.3955,
      0.2571,
      0.2939,
      0.3201,
      0.3456,
      0.3414,
      0.4095,
      0.2767,
      0.4833,
      0.0874,
      0.3345,
      0.4937,
      0.3247,
      0.2909,
      0.2961,
      0.278,
      0.3144,
      0.1489,
      0.3603,
      0.3988,
      0.3186,
      0.228,
      0.3359,
      0.3232,
      0.369,
      0.4951,
      0.2603,
      0.3962,
      0.3481,
      0.3971,
      0.3381,
      0.4123,
      0.4214,
      0.3248,
      0.3038,
      0.4234,
      0.3802,
      0.45,
      0.4892,
      0.3642,
      0.5162,
      0.2082,
      0.4446,
      0.3825,
      0.2977,
      0.4133,
      0.3679,
      0.2708,
      0.2402,
      0.4849,
      0.4139,
      0.3722,
      0.3132,
      0.3083,
      0.2952,
      0.2285,
      0.4433,
      0.3158,
      0.5156,
      0.282,
      0.4484,
      0.5306,
      0.4211,
      0.3958,
      0.2379,
      0.4317,
      0.4796,
      0.4222,
      0.3459,
      0.329,
      0.3352,
      0.3612,
      0.2034,
      0.2223,
      0.3743,
      0.5093,
      0.3799,
      0.3439,
      0.3669,
      0.2506,
      0.288,
      0.1773,
      0.2459,
      0.3199,
      0.1807,
      0.2286,
      0.2324,
      0.1606,
      0.2038,
      0.1781,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0938,
      0.3073,
      0.0135,
      0.109,
      0,
      0.068,
      0.1542,
      0.293,
      0.1382,
      0,
      0,
      0.026,
      0.0579,
      0,
      0.4128,
      0.1675,
      0.0051,
      0.0813,
      0.1629,
      0.2852,
      0,
      0.0319,
      0,
      0.0114,
      0.3279,
      0.206,
      0.4626,
      0.1065,
      0.2642,
      0.3999,
      0.382,
      0.3073,
      0.3655,
      0.294,
      0.4481,
      0.4621,
      0.2419,
      0.308,
      0.3129,
      0.0226,
      0.1701,
      0.2159,
      0.3733,
      0.5545,
      0.2953,
      0.4352,
      0.1296,
      0.2854,
      0.3404,
      0.2684,
      0.3232,
      0.1256,
      0.2146,
      0.3884,
      0.2759,
      0.2995,
      0.1873,
      0.1876,
      0.2769,
      0.2232,
      0.1801,
      0.2922,
      0.0782,
      0.1691,
      0.4481,
      0.5751,
      0.4318,
      0.4049,
      0.4928,
      0.1675,
      0.3496,
      0.2533,
      0.2872,
      0.2738,
      0.26,
      0.1675,
      0.2339,
      0.4251,
      0.4174,
      0.2188,
      0.1978,
      0.3338,
      0.3835,
      0.3473,
      0.3127,
      0.2636,
      0.2812,
      0.1738,
      0.2176,
      0.4327,
      0.2717,
      0.4594,
      0.3481,
      0.481,
      0.3207,
      0.3143,
      0.3124,
      0.3733,
      0.3107,
      0.3919,
      0.2123,
      0.5442,
      0.1542,
      0.4644,
      0.4163,
      0.2363,
      0.1971,
      0.2057,
      0.1859,
      0.3507,
      0.185,
      0.1761,
      0.0933,
      0.3736,
      0.3145,
      0.3598,
      0.4895,
      0.2264,
      0.2524,
      0.1846,
      0.3067,
      0.35,
      0.3526,
      0.2784,
      0.2895,
      0.2643,
      0.4613,
      0.4422,
      0.3857,
      0.4906,
      0.2185,
      0.2427,
      0.4038,
      0.3179,
      0.3283,
      0.1201,
      0.2573,
      0.4321,
      0.4043,
      0.4425,
      0.3048,
      0.3248,
      0.215,
      0.3602,
      0.321,
      0.4866,
      0.2276,
      0.3514,
      0.4422,
      0.3997,
      0.3026,
      0.3123,
      0.227,
      0.251,
      0.265,
      0.3362,
      0.2835,
      0.3647,
      0.356,
      0.4376,
      0.4986,
      0.3684,
      0.3966,
      0.3506,
      0.5247,
      0.1572,
      0.4117,
      0.391,
      0.3349,
      0.3364,
      0.3012,
      0.4617,
      0.3647,
      0.4314,
      0.4376,
      0.3338,
      0.3283,
      0.3904,
      0.2695,
      0.1577,
      0.2186,
      0.2101,
      0.4377,
      0.2575,
      0.4741,
      0.3015,
      0.422,
      0.4413,
      0.4429,
      0.3473,
      0.4698,
      0.4074,
      0.1453,
      0.2529,
      0.405,
      0.382,
      0.3736,
      0.4615,
      0.2229,
      0.2724,
      0.3143,
      0.3733,
      0.2449,
      0.3342,
      0.2733,
      0.3633,
      0.3573,
      0.4116,
      0.2999,
      0.3798,
      0.1176,
      0.3813,
      0.5191,
      0.3744,
      0.3063,
      0.2938,
      0.2343,
      0.2599,
      0.1644,
      0.319,
      0.3643,
      0.3832,
      0.2385,
      0.3248,
      0.3591,
      0.3842,
      0.4786,
      0.2057,
      0.4331,
      0.3755,
      0.3268,
      0.4362,
      0.4162,
      0.4641,
      0.4073,
      0.3951,
      0.4432,
      0.4551,
      0.4505,
      0.485,
      0.369,
      0.4419,
      0.2705,
      0.3958,
      0.3943,
      0.4348,
      0.3182,
      0.2933,
      0.3985,
      0.2578,
      0.4617,
      0.4115,
      0.3617,
      0.274,
      0.296,
      0.2966,
      0.3042,
      0.3587,
      0.3476,
      0.4651,
      0.2592,
      0.4787,
      0.4754,
      0.431,
      0.4682,
      0.3407,
      0.481,
      0.4632,
      0.4448,
      0.3763,
      0.3621,
      0.3994,
      0.3028,
      0.1928,
      0.2702,
      0.4322,
      0.483,
      0.4174,
      0.3316,
      0.4297,
      0.3401,
      0.3085,
      0.1129,
      0.2511,
      0.3238,
      0.0969,
      0.2334,
      0.2464,
      0.2095,
      0.2209,
      0.1567,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1066,
      0.278,
      0,
      0.225,
      0.0491,
      0.0728,
      0.0748,
      0.1643,
      0.0856,
      0,
      0,
      0.0266,
      0.0652,
      0,
      0.3559,
      0.2396,
      0.0261,
      0.0793,
      0.1119,
      0.3462,
      0,
      0.1519,
      0,
      0.0158,
      0.2871,
      0.1493,
      0.3487,
      0.0844,
      0.2283,
      0.3929,
      0.3758,
      0.3516,
      0.3101,
      0.2866,
      0.4987,
      0.4233,
      0.2576,
      0.3195,
      0.342,
      0,
      0.1166,
      0.1508,
      0.2856,
      0.5572,
      0.2492,
      0.4284,
      0.179,
      0.3381,
      0.2542,
      0.2351,
      0.1915,
      0.2413,
      0.2085,
      0.4016,
      0.2763,
      0.2665,
      0.1871,
      0.1036,
      0.2715,
      0.2799,
      0.1655,
      0.2593,
      0.0862,
      0.1809,
      0.4756,
      0.5064,
      0.323,
      0.3804,
      0.4163,
      0.1984,
      0.2628,
      0.271,
      0.2641,
      0.3386,
      0.2111,
      0.1609,
      0.2369,
      0.4601,
      0.3902,
      0.3021,
      0.2102,
      0.3305,
      0.3581,
      0.3634,
      0.3859,
      0.207,
      0.2426,
      0.281,
      0.1752,
      0.3808,
      0.2717,
      0.4681,
      0.3323,
      0.4329,
      0.3396,
      0.3648,
      0.3162,
      0.3149,
      0.4269,
      0.3416,
      0.2157,
      0.2534,
      0.1135,
      0.327,
      0.3824,
      0.2316,
      0.0317,
      0.1637,
      0.2545,
      0.3475,
      0.1773,
      0.1616,
      0.0637,
      0.383,
      0.2995,
      0.337,
      0.4914,
      0.2184,
      0.2861,
      0.2409,
      0.328,
      0.3169,
      0.3472,
      0.249,
      0.2656,
      0.1803,
      0.4342,
      0.4234,
      0.3801,
      0.3473,
      0.2361,
      0.1933,
      0.362,
      0.2977,
      0.2801,
      0.1504,
      0.3548,
      0.4198,
      0.3437,
      0.3959,
      0.2827,
      0.2098,
      0.2033,
      0.3514,
      0.2428,
      0.4664,
      0.1912,
      0.3838,
      0.4135,
      0.3954,
      0.3255,
      0.2583,
      0.2246,
      0.2733,
      0.2551,
      0.4116,
      0.2373,
      0.269,
      0.3058,
      0.3418,
      0.4597,
      0.2582,
      0.3831,
      0.2811,
      0.4609,
      0.1485,
      0.4514,
      0.3295,
      0.2912,
      0.3515,
      0.2576,
      0.3558,
      0.2709,
      0.46,
      0.468,
      0.3061,
      0.342,
      0.3533,
      0.25,
      0.2116,
      0.1814,
      0.2545,
      0.4042,
      0.2309,
      0.3364,
      0.2507,
      0.4181,
      0.4498,
      0.3992,
      0.3103,
      0.3882,
      0.3893,
      0.129,
      0.2578,
      0.3772,
      0.4,
      0.3446,
      0.4549,
      0.2518,
      0.2386,
      0.2694,
      0.4185,
      0.338,
      0.2803,
      0.2637,
      0.3361,
      0.3435,
      0.4476,
      0.3187,
      0.3506,
      0.0964,
      0.3339,
      0.5184,
      0.3355,
      0.3066,
      0.3036,
      0.228,
      0.2391,
      0.2666,
      0.3424,
      0.2928,
      0.3374,
      0.4034,
      0.2727,
      0.3465,
      0.4008,
      0.4419,
      0.2791,
      0.4865,
      0.382,
      0.3395,
      0.377,
      0.2897,
      0.4143,
      0.3191,
      0.3549,
      0.3852,
      0.4651,
      0.4377,
      0.558,
      0.2985,
      0.4689,
      0.1998,
      0.3591,
      0.3633,
      0.4058,
      0.3411,
      0.3711,
      0.3015,
      0.2235,
      0.4541,
      0.4074,
      0.3699,
      0.2711,
      0.2827,
      0.3459,
      0.3988,
      0.3653,
      0.2618,
      0.4709,
      0.2491,
      0.4911,
      0.492,
      0.3864,
      0.4444,
      0.2987,
      0.4262,
      0.494,
      0.4835,
      0.2868,
      0.395,
      0.3221,
      0.3033,
      0.1839,
      0.3216,
      0.3998,
      0.4626,
      0.3591,
      0.2843,
      0.438,
      0.2467,
      0.2987,
      0.1339,
      0.2283,
      0.3744,
      0.0801,
      0.2351,
      0.249,
      0.1578,
      0.2125,
      0.2606,
      0.0013,
      0.0095,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1118,
      0.2281,
      0,
      0.1757,
      0.0254,
      0.0443,
      0.1293,
      0.2595,
      0.0644,
      0.0255,
      0,
      0.0871,
      0,
      0,
      0.4057,
      0.2067,
      0.0808,
      0.0903,
      0,
      0.3375,
      0.024,
      0.0553,
      0,
      0,
      0.3286,
      0.2224,
      0.3318,
      0.0678,
      0.1954,
      0.4104,
      0.3393,
      0.3295,
      0.3314,
      0.3272,
      0.3643,
      0.43,
      0.3297,
      0.2765,
      0.2353,
      0.1006,
      0.1687,
      0.1984,
      0.2598,
      0.5408,
      0.2427,
      0.4164,
      0.2306,
      0.2697,
      0.2314,
      0.2866,
      0.2729,
      0.2987,
      0.1582,
      0.3905,
      0.3167,
      0.2842,
      0.1669,
      0.0467,
      0.2695,
      0.2881,
      0.1583,
      0.1924,
      0.1261,
      0.2313,
      0.4396,
      0.5505,
      0.3569,
      0.4038,
      0.496,
      0.219,
      0.3055,
      0.2522,
      0.3004,
      0.3215,
      0.2209,
      0.2199,
      0.2786,
      0.4494,
      0.2477,
      0.2313,
      0.2828,
      0.3213,
      0.4212,
      0.2811,
      0.3876,
      0.2236,
      0.2599,
      0.2909,
      0.1765,
      0.3707,
      0.1621,
      0.5123,
      0.378,
      0.4501,
      0.4258,
      0.3399,
      0.2683,
      0.4019,
      0.5891,
      0.4104,
      0.1858,
      0.2729,
      0.1188,
      0.3792,
      0.3954,
      0.206,
      0.1876,
      0.1328,
      0.2036,
      0.3187,
      0.1696,
      0.1996,
      0.0901,
      0.426,
      0.3916,
      0.3281,
      0.5168,
      0.1955,
      0.3591,
      0.2259,
      0.3094,
      0.3662,
      0.3305,
      0.3005,
      0.2848,
      0.1804,
      0.3313,
      0.5196,
      0.4922,
      0.2645,
      0.2811,
      0.3449,
      0.3677,
      0.275,
      0.2775,
      0.2065,
      0.3926,
      0.4555,
      0.355,
      0.4205,
      0.2659,
      0.3238,
      0.2629,
      0.3193,
      0.3364,
      0.4337,
      0.1743,
      0.3484,
      0.3904,
      0.3871,
      0.2976,
      0.3062,
      0.27,
      0.2731,
      0.2084,
      0.2947,
      0.3401,
      0.3601,
      0.3894,
      0.3729,
      0.4255,
      0.3477,
      0.445,
      0.2452,
      0.3892,
      0.1829,
      0.5226,
      0.3599,
      0.339,
      0.3309,
      0.2631,
      0.4348,
      0.3556,
      0.4269,
      0.4951,
      0.3139,
      0.3532,
      0.2044,
      0.2352,
      0.1803,
      0.248,
      0.329,
      0.3346,
      0.3214,
      0.34,
      0.2823,
      0.3712,
      0.3909,
      0.54,
      0.2965,
      0.4427,
      0.3673,
      0.1689,
      0.3024,
      0.339,
      0.3918,
      0.3119,
      0.4511,
      0.2358,
      0.1844,
      0.4324,
      0.3046,
      0.3958,
      0.1902,
      0.2227,
      0.3965,
      0.3212,
      0.3606,
      0.2948,
      0.3279,
      0.1891,
      0.3886,
      0.5394,
      0.2783,
      0.2382,
      0.3693,
      0.2556,
      0.2984,
      0.2515,
      0.3198,
      0.3031,
      0.321,
      0.3148,
      0.2995,
      0.2698,
      0.4301,
      0.4761,
      0.2479,
      0.4488,
      0.2823,
      0.3861,
      0.2955,
      0.3432,
      0.349,
      0.3079,
      0.3412,
      0.4565,
      0.5084,
      0.4578,
      0.4913,
      0.3154,
      0.3795,
      0.2933,
      0.3552,
      0.3592,
      0.2972,
      0.3755,
      0.3584,
      0.2821,
      0.365,
      0.4935,
      0.3818,
      0.4045,
      0.28,
      0.3112,
      0.319,
      0.3177,
      0.3922,
      0.2173,
      0.4809,
      0.2933,
      0.4083,
      0.4803,
      0.4728,
      0.5218,
      0.282,
      0.455,
      0.5457,
      0.4824,
      0.3849,
      0.406,
      0.2981,
      0.4175,
      0.2806,
      0.3137,
      0.3774,
      0.4448,
      0.457,
      0.3392,
      0.5387,
      0.3292,
      0.3775,
      0.1804,
      0.2379,
      0.4904,
      0.2006,
      0.1158,
      0.2563,
      0.1666,
      0.2659,
      0.3539,
      0.0197,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.13,
      0.1962,
      0,
      0.1386,
      0,
      0.0038,
      0.0671,
      0.2209,
      0.1093,
      0,
      0,
      0.0139,
      0.0372,
      0,
      0.3,
      0.1368,
      0.1158,
      0.0488,
      0.1027,
      0.3295,
      0,
      0.0267,
      0,
      0.0727,
      0.4115,
      0.2319,
      0.2877,
      0.1357,
      0.2717,
      0.3736,
      0.3159,
      0.326,
      0.2641,
      0.3027,
      0.4205,
      0.3118,
      0.2757,
      0.3005,
      0.2626,
      0.1255,
      0.1672,
      0.2013,
      0.3352,
      0.435,
      0.157,
      0.4169,
      0.1962,
      0.2589,
      0.1953,
      0.2463,
      0.2824,
      0.255,
      0.1775,
      0.4038,
      0.3686,
      0.286,
      0.1226,
      0.022,
      0.2709,
      0.3005,
      0.1719,
      0.1881,
      0.0715,
      0.2695,
      0.49,
      0.3823,
      0.3693,
      0.4805,
      0.4096,
      0.0821,
      0.207,
      0.2882,
      0.2524,
      0.3019,
      0.1329,
      0.1334,
      0.2744,
      0.3726,
      0.3703,
      0.2234,
      0.2532,
      0.3424,
      0.3904,
      0.2374,
      0.3516,
      0.1946,
      0.2387,
      0.128,
      0.1786,
      0.3665,
      0.2645,
      0.5072,
      0.3507,
      0.4288,
      0.3363,
      0.3108,
      0.3465,
      0.3766,
      0.449,
      0.3711,
      0.1944,
      0.2307,
      0.1474,
      0.4606,
      0.4238,
      0.2294,
      0.1991,
      0.0817,
      0.1602,
      0.3182,
      0.2311,
      0.1917,
      0.0618,
      0.4735,
      0.3633,
      0.3326,
      0.4704,
      0.21,
      0.3556,
      0.2316,
      0.256,
      0.3566,
      0.4072,
      0.2958,
      0.2417,
      0.2395,
      0.3472,
      0.511,
      0.459,
      0.3229,
      0.2768,
      0.2227,
      0.3071,
      0.2389,
      0.2394,
      0.1487,
      0.3154,
      0.5205,
      0.3412,
      0.4423,
      0.3391,
      0.2821,
      0.265,
      0.2012,
      0.4272,
      0.4584,
      0.2262,
      0.3593,
      0.3822,
      0.4113,
      0.2928,
      0.2309,
      0.2358,
      0.2552,
      0.1636,
      0.3025,
      0.2665,
      0.2511,
      0.3789,
      0.4011,
      0.4481,
      0.3329,
      0.4465,
      0.2564,
      0.3984,
      0.2209,
      0.4666,
      0.2937,
      0.3957,
      0.3936,
      0.3081,
      0.4124,
      0.3496,
      0.5263,
      0.5228,
      0.2665,
      0.3006,
      0.2763,
      0.1566,
      0.2672,
      0.2233,
      0.3177,
      0.1733,
      0.3002,
      0.3051,
      0.2135,
      0.424,
      0.4532,
      0.486,
      0.2425,
      0.4572,
      0.4113,
      0.133,
      0.17,
      0.2966,
      0.3298,
      0.322,
      0.417,
      0.2412,
      0.2187,
      0.4053,
      0.3328,
      0.3295,
      0.2523,
      0.2969,
      0.3679,
      0.332,
      0.3873,
      0.3544,
      0.3378,
      0.125,
      0.3461,
      0.5125,
      0.3043,
      0.2613,
      0.2363,
      0.2656,
      0.2639,
      0.2049,
      0.3557,
      0.4505,
      0.3256,
      0.3667,
      0.288,
      0.3137,
      0.426,
      0.4552,
      0.2363,
      0.5042,
      0.3577,
      0.4276,
      0.3851,
      0.3404,
      0.2823,
      0.3672,
      0.3966,
      0.4122,
      0.4637,
      0.4455,
      0.4433,
      0.3367,
      0.4033,
      0.1408,
      0.4276,
      0.3957,
      0.3354,
      0.356,
      0.3878,
      0.3328,
      0.2676,
      0.4899,
      0.4361,
      0.3184,
      0.3311,
      0.3224,
      0.2829,
      0.313,
      0.421,
      0.2824,
      0.4558,
      0.2706,
      0.393,
      0.4874,
      0.3605,
      0.4811,
      0.2678,
      0.402,
      0.5212,
      0.594,
      0.5412,
      0.3771,
      0.322,
      0.265,
      0.2078,
      0.3368,
      0.5415,
      0.5421,
      0.5124,
      0.3927,
      0.481,
      0.2656,
      0.2818,
      0.1761,
      0.1925,
      0.3597,
      0.1103,
      0.0605,
      0.2475,
      0.2341,
      0.232,
      0.1685,
      0.0289,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1925,
      0.1444,
      0.0041,
      0.2282,
      0.0494,
      0,
      0.1515,
      0.2424,
      0.1081,
      0,
      0,
      0.044,
      0,
      0,
      0.2762,
      0.2085,
      0.0184,
      0.0575,
      0.0483,
      0.2456,
      0,
      0.0359,
      0,
      0.0057,
      0.3948,
      0.18,
      0.3101,
      0.1102,
      0.2013,
      0.3735,
      0.3928,
      0.4011,
      0.3812,
      0.2557,
      0.4666,
      0.4765,
      0.2077,
      0.2089,
      0.2184,
      0.1061,
      0.1458,
      0.208,
      0.3154,
      0.4977,
      0.2332,
      0.3813,
      0.2664,
      0.2688,
      0.3409,
      0.2547,
      0.2021,
      0.1371,
      0.2666,
      0.3512,
      0.3624,
      0.3092,
      0.1616,
      0.0597,
      0.2591,
      0.3493,
      0.1766,
      0.1879,
      0.0619,
      0.2491,
      0.4341,
      0.4806,
      0.2711,
      0.4203,
      0.4163,
      0.1418,
      0.2319,
      0.2769,
      0.2781,
      0.2873,
      0.1917,
      0.1369,
      0.2299,
      0.4678,
      0.3743,
      0.3069,
      0.159,
      0.4054,
      0.4158,
      0.262,
      0.3365,
      0.2169,
      0.3124,
      0.1538,
      0.2052,
      0.3114,
      0.24,
      0.4691,
      0.3431,
      0.4837,
      0.298,
      0.3577,
      0.3926,
      0.2944,
      0.3327,
      0.4046,
      0.2157,
      0.1893,
      0.179,
      0.3596,
      0.3968,
      0.1976,
      0.1503,
      0.132,
      0.1416,
      0.3965,
      0.2517,
      0.156,
      0.0844,
      0.3956,
      0.4283,
      0.299,
      0.4979,
      0.1381,
      0.3031,
      0.1686,
      0.278,
      0.3606,
      0.287,
      0.2688,
      0.3355,
      0.2252,
      0.4167,
      0.5497,
      0.3895,
      0.3246,
      0.3167,
      0.1345,
      0.226,
      0.3081,
      0.2677,
      0.0695,
      0.4049,
      0.5072,
      0.3268,
      0.3898,
      0.4007,
      0.2869,
      0.1499,
      0.2771,
      0.4172,
      0.4416,
      0.2866,
      0.3051,
      0.4098,
      0.2987,
      0.3394,
      0.2658,
      0.219,
      0.2628,
      0.1762,
      0.2895,
      0.2508,
      0.2777,
      0.2848,
      0.4661,
      0.4306,
      0.3083,
      0.4444,
      0.2706,
      0.4107,
      0.232,
      0.4453,
      0.4149,
      0.3991,
      0.3875,
      0.3773,
      0.3973,
      0.3574,
      0.4928,
      0.4973,
      0.4174,
      0.2861,
      0.2865,
      0.2354,
      0.2764,
      0.2253,
      0.3842,
      0.3944,
      0.2189,
      0.2124,
      0.2529,
      0.3723,
      0.4223,
      0.4625,
      0.3238,
      0.3923,
      0.4144,
      0.1858,
      0.2375,
      0.3676,
      0.2385,
      0.2558,
      0.4057,
      0.1967,
      0.2179,
      0.3065,
      0.3335,
      0.2624,
      0.2202,
      0.2318,
      0.3275,
      0.2949,
      0.4646,
      0.3234,
      0.4034,
      0.132,
      0.3359,
      0.5144,
      0.2877,
      0.2262,
      0.2452,
      0.2715,
      0.2568,
      0.1612,
      0.2691,
      0.2287,
      0.2899,
      0.2883,
      0.246,
      0.2952,
      0.4302,
      0.4476,
      0.2166,
      0.4431,
      0.3396,
      0.3453,
      0.3749,
      0.2538,
      0.3248,
      0.3694,
      0.3396,
      0.4464,
      0.4675,
      0.496,
      0.4807,
      0.3273,
      0.402,
      0.2529,
      0.4491,
      0.2952,
      0.3425,
      0.3142,
      0.2809,
      0.2956,
      0.2782,
      0.4814,
      0.3568,
      0.3803,
      0.305,
      0.3704,
      0.2209,
      0.3107,
      0.3471,
      0.3038,
      0.4224,
      0.2896,
      0.4604,
      0.4918,
      0.3792,
      0.5232,
      0.2176,
      0.4232,
      0.4767,
      0.483,
      0.3812,
      0.4001,
      0.2845,
      0.3566,
      0.1664,
      0.3467,
      0.2756,
      0.3968,
      0.4156,
      0.3729,
      0.3221,
      0.2459,
      0.3572,
      0.1152,
      0.2214,
      0.3984,
      0.115,
      0.0992,
      0.2014,
      0.2054,
      0.3941,
      0.2115,
      0.0782,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1508,
      0.2901,
      0,
      0.2344,
      0.0249,
      0.0216,
      0.0579,
      0.31,
      0.2278,
      0,
      0,
      0.0901,
      0,
      0,
      0.312,
      0.2061,
      0.0504,
      0.1385,
      0.1332,
      0.3024,
      0,
      0,
      0,
      0.0014,
      0.406,
      0.1496,
      0.3636,
      0.0667,
      0.238,
      0.3185,
      0.3455,
      0.3571,
      0.4046,
      0.3243,
      0.4068,
      0.3916,
      0.2705,
      0.2588,
      0.3116,
      0.0925,
      0.1328,
      0.2228,
      0.3931,
      0.4986,
      0.2347,
      0.4561,
      0.253,
      0.304,
      0.3569,
      0.292,
      0.2636,
      0.1994,
      0.2511,
      0.4033,
      0.3882,
      0.3538,
      0.102,
      0.1264,
      0.2839,
      0.2765,
      0.165,
      0.2669,
      0.0123,
      0.3116,
      0.4455,
      0.4775,
      0.3792,
      0.346,
      0.4223,
      0.1359,
      0.1777,
      0.2211,
      0.237,
      0.287,
      0.2018,
      0.1301,
      0.2346,
      0.4461,
      0.3963,
      0.1638,
      0.25,
      0.412,
      0.432,
      0.3053,
      0.3156,
      0.3005,
      0.3708,
      0.2872,
      0.1895,
      0.2889,
      0.3338,
      0.5046,
      0.4038,
      0.4098,
      0.3155,
      0.3753,
      0.3532,
      0.3223,
      0.3704,
      0.3135,
      0.2006,
      0.2424,
      0.2009,
      0.3476,
      0.4536,
      0.2346,
      0.0415,
      0.0936,
      0.0857,
      0.3561,
      0.1814,
      0.1932,
      0,
      0.4173,
      0.4246,
      0.3173,
      0.5213,
      0.1333,
      0.3441,
      0.1903,
      0.3095,
      0.3802,
      0.2185,
      0.2387,
      0.38,
      0.1986,
      0.3565,
      0.4441,
      0.5071,
      0.288,
      0.2801,
      0.1904,
      0.3404,
      0.3294,
      0.2505,
      0.0319,
      0.3815,
      0.4465,
      0.2129,
      0.4381,
      0.4263,
      0.3494,
      0.2485,
      0.2873,
      0.3189,
      0.5003,
      0.3383,
      0.3012,
      0.3494,
      0.2946,
      0.2664,
      0.2198,
      0.1606,
      0.2033,
      0.2475,
      0.2686,
      0.2482,
      0.3032,
      0.3659,
      0.3821,
      0.5053,
      0.3021,
      0.4162,
      0.3423,
      0.4193,
      0.2112,
      0.4878,
      0.4942,
      0.4531,
      0.421,
      0.4151,
      0.4034,
      0.3068,
      0.4622,
      0.5435,
      0.4171,
      0.2966,
      0.2305,
      0.1931,
      0.3249,
      0.2508,
      0.4553,
      0.412,
      0.1274,
      0.2349,
      0.4737,
      0.3135,
      0.4302,
      0.464,
      0.2777,
      0.2811,
      0.3575,
      0.1673,
      0.1539,
      0.3589,
      0.3815,
      0.2783,
      0.4667,
      0.2056,
      0.2352,
      0.3462,
      0.4023,
      0.2985,
      0.1988,
      0.2473,
      0.3585,
      0.2774,
      0.4409,
      0.2385,
      0.3849,
      0.1295,
      0.3693,
      0.414,
      0.2869,
      0.1681,
      0.2012,
      0.2849,
      0.2802,
      0.1928,
      0.2583,
      0.2129,
      0.2903,
      0.2582,
      0.3277,
      0.3935,
      0.4664,
      0.5244,
      0.1979,
      0.4724,
      0.2576,
      0.3602,
      0.3168,
      0.3098,
      0.3419,
      0.2828,
      0.3279,
      0.3145,
      0.3321,
      0.5178,
      0.4624,
      0.2962,
      0.3987,
      0.2221,
      0.4729,
      0.3161,
      0.3484,
      0.2911,
      0.2458,
      0.3122,
      0.2742,
      0.4781,
      0.3887,
      0.2878,
      0.3055,
      0.3967,
      0.2044,
      0.3953,
      0.3198,
      0.2366,
      0.4581,
      0.326,
      0.4327,
      0.4857,
      0.4605,
      0.5544,
      0.2732,
      0.4757,
      0.4656,
      0.4119,
      0.3177,
      0.3345,
      0.211,
      0.3175,
      0.2202,
      0.3836,
      0.314,
      0.4485,
      0.4596,
      0.4603,
      0.4076,
      0.3586,
      0.2207,
      0.1068,
      0.2077,
      0.3422,
      0.2291,
      0.1514,
      0.2042,
      0.2377,
      0.2706,
      0.1617,
      0.0588,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0692,
      0.3394,
      0,
      0.2603,
      0,
      0.1333,
      0.1451,
      0.2694,
      0.2179,
      0,
      0,
      0,
      0.0981,
      0,
      0.3789,
      0.243,
      0.0498,
      0.0944,
      0.1966,
      0.2564,
      0,
      0.1223,
      0,
      0.0692,
      0.4505,
      0.1592,
      0.4142,
      0.0804,
      0.22,
      0.3884,
      0.3782,
      0.343,
      0.3292,
      0.2875,
      0.4537,
      0.4361,
      0.4482,
      0.4768,
      0.2766,
      0.0769,
      0.0856,
      0.2379,
      0.4616,
      0.4102,
      0.3387,
      0.4004,
      0.215,
      0.2856,
      0.4723,
      0.3928,
      0.3749,
      0.2367,
      0.2149,
      0.4683,
      0.4333,
      0.3113,
      0.1933,
      0.121,
      0.3074,
      0.2736,
      0.1745,
      0.3038,
      0.146,
      0.3257,
      0.5203,
      0.5251,
      0.3666,
      0.4541,
      0.415,
      0.1408,
      0.2821,
      0.2699,
      0.2255,
      0.3019,
      0.2536,
      0.0778,
      0.2463,
      0.3987,
      0.4451,
      0.3064,
      0.2831,
      0.3808,
      0.4637,
      0.3444,
      0.4089,
      0.2397,
      0.3518,
      0.1848,
      0.1639,
      0.3097,
      0.2282,
      0.5176,
      0.3443,
      0.4821,
      0.2479,
      0.2964,
      0.3226,
      0.3304,
      0.2272,
      0.3556,
      0.198,
      0.1858,
      0.2203,
      0.4853,
      0.4118,
      0.257,
      0.2333,
      0.1563,
      0.077,
      0.3478,
      0.1941,
      0.4141,
      0.0738,
      0.3768,
      0.4406,
      0.3603,
      0.4918,
      0.2311,
      0.361,
      0.2416,
      0.2468,
      0.3627,
      0.4022,
      0.2715,
      0.4687,
      0.32,
      0.2837,
      0.4041,
      0.4131,
      0.3005,
      0.3071,
      0.2177,
      0.3629,
      0.282,
      0.265,
      0.0644,
      0.4986,
      0.4761,
      0.3042,
      0.338,
      0.5909,
      0.6136,
      0.2699,
      0.2116,
      0.2497,
      0.5182,
      0.4503,
      0.3181,
      0.2955,
      0.3972,
      0.2651,
      0.2719,
      0.2205,
      0.2477,
      0.2447,
      0.2658,
      0.1999,
      0.2942,
      0.401,
      0.3398,
      0.4792,
      0.3153,
      0.4118,
      0.3845,
      0.4781,
      0.0634,
      0.4981,
      0.4758,
      0.4452,
      0.4019,
      0.4029,
      0.4952,
      0.4104,
      0.4928,
      0.4944,
      0.3473,
      0.2984,
      0.3462,
      0.2446,
      0.3756,
      0.1657,
      0.3858,
      0.2818,
      0.2009,
      0.3746,
      0.4412,
      0.3329,
      0.4417,
      0.4408,
      0.3214,
      0.4161,
      0.3153,
      0.0802,
      0.3062,
      0.3449,
      0.3973,
      0.2529,
      0.4056,
      0.2448,
      0.2198,
      0.3492,
      0.4811,
      0.2887,
      0.2346,
      0.3334,
      0.3312,
      0.2232,
      0.4014,
      0.3096,
      0.3067,
      0.0845,
      0.3652,
      0.4992,
      0.2964,
      0.2807,
      0.3452,
      0.2287,
      0.2215,
      0.2179,
      0.3659,
      0.3873,
      0.3707,
      0.3446,
      0.3923,
      0.3882,
      0.4574,
      0.5211,
      0.2052,
      0.4413,
      0.4204,
      0.4725,
      0.4228,
      0.347,
      0.5073,
      0.4158,
      0.4247,
      0.4455,
      0.4727,
      0.4348,
      0.5018,
      0.2574,
      0.3726,
      0.175,
      0.4703,
      0.4068,
      0.3044,
      0.2837,
      0.3047,
      0.4022,
      0.2575,
      0.5172,
      0.4006,
      0.2893,
      0.2524,
      0.3317,
      0.2334,
      0.2962,
      0.3565,
      0.263,
      0.5034,
      0.3239,
      0.4551,
      0.5088,
      0.333,
      0.4202,
      0.2973,
      0.3826,
      0.4459,
      0.372,
      0.2829,
      0.2184,
      0.2296,
      0.3301,
      0.1119,
      0.3788,
      0.4131,
      0.4335,
      0.3813,
      0.4448,
      0.4101,
      0.2529,
      0.2132,
      0.1191,
      0.1788,
      0.3458,
      0.095,
      0.1103,
      0.1488,
      0.1888,
      0.2382,
      0.1088,
      0,
      0.077,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1907,
      0.3534,
      0.016,
      0.265,
      0,
      0.0706,
      0.151,
      0.3635,
      0.1804,
      0,
      0,
      0.0146,
      0.1617,
      0,
      0.4056,
      0.2521,
      0.042,
      0.0795,
      0.1811,
      0.3678,
      0.0134,
      0.122,
      0.0155,
      0.0156,
      0.4853,
      0.1487,
      0.4717,
      0.1264,
      0.2319,
      0.4152,
      0.406,
      0.3606,
      0.3822,
      0.2271,
      0.4791,
      0.4491,
      0.4067,
      0.4328,
      0.3021,
      0.1058,
      0.1619,
      0.2371,
      0.4431,
      0.5429,
      0.3513,
      0.4118,
      0.2367,
      0.2936,
      0.2602,
      0.3436,
      0.2877,
      0.2466,
      0.2807,
      0.4995,
      0.4147,
      0.3374,
      0.2084,
      0.1956,
      0.3082,
      0.2632,
      0.1925,
      0.2938,
      0.0604,
      0.304,
      0.5497,
      0.4987,
      0.2126,
      0.5099,
      0.3573,
      0.1051,
      0.3069,
      0.3555,
      0.2719,
      0.2873,
      0.1538,
      0.1243,
      0.256,
      0.3972,
      0.3822,
      0.257,
      0.2197,
      0.3614,
      0.3836,
      0.4156,
      0.3483,
      0.1765,
      0.1965,
      0.1366,
      0.2038,
      0.3466,
      0.3036,
      0.5205,
      0.3108,
      0.4178,
      0.3337,
      0.3436,
      0.3649,
      0.4166,
      0.3332,
      0.3307,
      0.219,
      0.2309,
      0.2168,
      0.4806,
      0.4682,
      0.2807,
      0.2409,
      0.2276,
      0.1182,
      0.3503,
      0.2053,
      0.1782,
      0.0702,
      0.3953,
      0.4741,
      0.403,
      0.4839,
      0.2905,
      0.319,
      0.2653,
      0.3138,
      0.3327,
      0.3995,
      0.3226,
      0.4925,
      0.3286,
      0.4682,
      0.4699,
      0.4009,
      0.3609,
      0.3305,
      0.2491,
      0.2837,
      0.2825,
      0.245,
      0.1244,
      0.4614,
      0.5057,
      0.2366,
      0.3933,
      0.535,
      0.6341,
      0.3115,
      0.2473,
      0.2217,
      0.4002,
      0.418,
      0.3863,
      0.3766,
      0.382,
      0.3435,
      0.3025,
      0.1787,
      0.2397,
      0.2061,
      0.2911,
      0.2288,
      0.3248,
      0.4114,
      0.4215,
      0.4405,
      0.3494,
      0.391,
      0.4147,
      0.483,
      0.0655,
      0.5376,
      0.4905,
      0.247,
      0.3707,
      0.4289,
      0.4259,
      0.4633,
      0.4864,
      0.5027,
      0.3504,
      0.3729,
      0.3373,
      0.3175,
      0.2653,
      0.1747,
      0.1712,
      0.367,
      0.1909,
      0.4507,
      0.3171,
      0.3507,
      0.4218,
      0.522,
      0.35,
      0.3976,
      0.3475,
      0.1169,
      0.3202,
      0.3493,
      0.3891,
      0.2897,
      0.3756,
      0.2674,
      0.2347,
      0.3794,
      0.3983,
      0.282,
      0.2322,
      0.3744,
      0.2848,
      0.2584,
      0.336,
      0.2486,
      0.3283,
      0.0829,
      0.359,
      0.4644,
      0.3431,
      0.3522,
      0.2892,
      0.1951,
      0.1973,
      0.238,
      0.3476,
      0.4413,
      0.347,
      0.3362,
      0.3869,
      0.3282,
      0.4804,
      0.4644,
      0.2465,
      0.4315,
      0.404,
      0.4775,
      0.4135,
      0.467,
      0.4744,
      0.4839,
      0.3899,
      0.4913,
      0.4911,
      0.4107,
      0.5048,
      0.3186,
      0.3583,
      0.3047,
      0.4352,
      0.456,
      0.3226,
      0.3876,
      0.2753,
      0.3965,
      0.2311,
      0.5383,
      0.415,
      0.4095,
      0.3467,
      0.3349,
      0.2397,
      0.2914,
      0.3341,
      0.3019,
      0.4272,
      0.2388,
      0.394,
      0.4851,
      0.422,
      0.421,
      0.3417,
      0.3741,
      0.423,
      0.3055,
      0.2573,
      0.3313,
      0.3432,
      0.3757,
      0.1872,
      0.3415,
      0.4195,
      0.4964,
      0.4421,
      0.5495,
      0.4651,
      0.2539,
      0.2748,
      0.2046,
      0.1714,
      0.2813,
      0.1612,
      0.145,
      0.2535,
      0.2653,
      0.1816,
      0.1013,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1457,
      0.315,
      0.0443,
      0.2149,
      0,
      0.0623,
      0.1339,
      0.3303,
      0.1403,
      0,
      0,
      0,
      0.0413,
      0,
      0.3783,
      0.2448,
      0.0732,
      0.0327,
      0.0436,
      0.3062,
      0,
      0.0233,
      0,
      0.0607,
      0.3546,
      0.1539,
      0.4144,
      0.118,
      0.1932,
      0.3408,
      0.2977,
      0.3769,
      0.4054,
      0.3023,
      0.4912,
      0.4071,
      0.2653,
      0.3514,
      0.2381,
      0.1181,
      0.1946,
      0.2328,
      0.3721,
      0.4943,
      0.2291,
      0.4389,
      0.1734,
      0.2692,
      0.2692,
      0.3089,
      0.2661,
      0.243,
      0.2578,
      0.4246,
      0.3746,
      0.3105,
      0.2117,
      0.137,
      0.2963,
      0.2685,
      0.1668,
      0.2932,
      0.1237,
      0.2614,
      0.4745,
      0.5044,
      0.3277,
      0.4684,
      0.378,
      0.2239,
      0.3229,
      0.2655,
      0.2349,
      0.2444,
      0.1502,
      0.1508,
      0.2185,
      0.3986,
      0.356,
      0.2445,
      0.2384,
      0.3306,
      0.3991,
      0.3169,
      0.3505,
      0.1353,
      0.1868,
      0.1635,
      0.1953,
      0.256,
      0.3195,
      0.4896,
      0.3283,
      0.4461,
      0.3245,
      0.3682,
      0.3698,
      0.3078,
      0.2954,
      0.2983,
      0.2462,
      0.2207,
      0.2112,
      0.4144,
      0.4205,
      0.2082,
      0.2097,
      0.1644,
      0.1996,
      0.3287,
      0.2001,
      0.1252,
      0.0493,
      0.414,
      0.3622,
      0.3234,
      0.4459,
      0.2571,
      0.2953,
      0.2137,
      0.2999,
      0.3404,
      0.3937,
      0.2113,
      0.293,
      0.3053,
      0.3413,
      0.4549,
      0.4218,
      0.3479,
      0.2136,
      0.3531,
      0.2892,
      0.2586,
      0.1884,
      0.1155,
      0.3787,
      0.4499,
      0.1985,
      0.3046,
      0.3501,
      0.5238,
      0.2924,
      0.2827,
      0.1951,
      0.3502,
      0.1958,
      0.3659,
      0.349,
      0.3575,
      0.2878,
      0.3096,
      0.2368,
      0.3034,
      0.2724,
      0.2634,
      0.246,
      0.3017,
      0.313,
      0.446,
      0.4798,
      0.3258,
      0.4398,
      0.3663,
      0.5117,
      0.1886,
      0.4984,
      0.4478,
      0.2652,
      0.4427,
      0.4121,
      0.3998,
      0.3202,
      0.4169,
      0.3826,
      0.366,
      0.3592,
      0.3186,
      0.2875,
      0.2256,
      0.2274,
      0.2103,
      0.3679,
      0.2629,
      0.287,
      0.2793,
      0.4085,
      0.3864,
      0.4528,
      0.3917,
      0.4464,
      0.3487,
      0.212,
      0.3416,
      0.36,
      0.2724,
      0.2381,
      0.3843,
      0.3575,
      0.2426,
      0.429,
      0.4008,
      0.2995,
      0.1998,
      0.3343,
      0.3325,
      0.3153,
      0.3544,
      0.2383,
      0.2874,
      0.0888,
      0.3724,
      0.4758,
      0.3912,
      0.3478,
      0.3707,
      0.2475,
      0.3619,
      0.2111,
      0.3522,
      0.3831,
      0.3251,
      0.4366,
      0.2897,
      0.3519,
      0.4654,
      0.4262,
      0.281,
      0.4696,
      0.3832,
      0.4403,
      0.4581,
      0.3812,
      0.4215,
      0.3762,
      0.3576,
      0.4418,
      0.479,
      0.4737,
      0.5458,
      0.3096,
      0.414,
      0.302,
      0.3924,
      0.4367,
      0.3424,
      0.3137,
      0.292,
      0.3817,
      0.3001,
      0.4254,
      0.3661,
      0.3994,
      0.3415,
      0.2911,
      0.2675,
      0.3624,
      0.3336,
      0.2463,
      0.4042,
      0.2587,
      0.4077,
      0.4454,
      0.406,
      0.4089,
      0.3164,
      0.4479,
      0.4238,
      0.4146,
      0.155,
      0.2692,
      0.4112,
      0.3355,
      0.2311,
      0.5732,
      0.366,
      0.454,
      0.4086,
      0.5461,
      0.4041,
      0.2276,
      0.2451,
      0.1807,
      0.2305,
      0.3591,
      0.1126,
      0.1791,
      0.1509,
      0.27,
      0.1838,
      0.0886,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1046,
      0.2877,
      0.0873,
      0.1455,
      0,
      0.0493,
      0.1304,
      0.1806,
      0.1675,
      0.0201,
      0,
      0.0639,
      0,
      0.0872,
      0.3409,
      0.181,
      0.1859,
      0.1281,
      0.0519,
      0.309,
      0,
      0,
      0,
      0.0335,
      0.3397,
      0.1668,
      0.4125,
      0.0721,
      0.134,
      0.3863,
      0.2322,
      0.3294,
      0.3089,
      0.1605,
      0.3926,
      0.3519,
      0.3088,
      0.2641,
      0.2298,
      0.2097,
      0.1529,
      0.2272,
      0.277,
      0.4605,
      0.2955,
      0.3439,
      0.2072,
      0.3524,
      0.2612,
      0.1692,
      0.2856,
      0.1635,
      0.2233,
      0.3082,
      0.3111,
      0.3267,
      0.121,
      0.0513,
      0.3032,
      0.2553,
      0.106,
      0.2519,
      0.1341,
      0.202,
      0.4556,
      0.4376,
      0.311,
      0.3954,
      0.4441,
      0.1491,
      0.2871,
      0.2051,
      0.2217,
      0.2669,
      0.1711,
      0.0834,
      0.221,
      0.408,
      0.4212,
      0.3012,
      0.2342,
      0.3531,
      0.3598,
      0.2434,
      0.3495,
      0.1031,
      0.1724,
      0.2869,
      0.2021,
      0.3103,
      0.2023,
      0.49,
      0.3515,
      0.482,
      0.1893,
      0.3113,
      0.3807,
      0.3132,
      0.2996,
      0.246,
      0.3057,
      0.2049,
      0.1778,
      0.4333,
      0.3587,
      0.2439,
      0.1048,
      0.1523,
      0.2469,
      0.3521,
      0.2352,
      0.1041,
      0.0298,
      0.2297,
      0.4398,
      0.3306,
      0.4874,
      0.1972,
      0.3106,
      0.1889,
      0.2896,
      0.3711,
      0.3781,
      0.2522,
      0.3342,
      0.2909,
      0.4579,
      0.5099,
      0.3381,
      0.263,
      0.3216,
      0.1243,
      0.2576,
      0.1217,
      0.1759,
      0,
      0.3928,
      0.3631,
      0.342,
      0.3913,
      0.2781,
      0.2997,
      0.3043,
      0.3028,
      0.2465,
      0.4576,
      0.1847,
      0.356,
      0.4029,
      0.3634,
      0.3045,
      0.3243,
      0.2444,
      0.3575,
      0.1864,
      0.2777,
      0.2761,
      0.3057,
      0.3426,
      0.3381,
      0.46,
      0.284,
      0.407,
      0.3648,
      0.4928,
      0.2014,
      0.5245,
      0.4045,
      0.3191,
      0.4745,
      0.3841,
      0.4311,
      0.3156,
      0.4872,
      0.4435,
      0.3554,
      0.3207,
      0.2645,
      0.2885,
      0.1509,
      0.2725,
      0.1861,
      0.3894,
      0.2699,
      0.1198,
      0.3346,
      0.3801,
      0.4441,
      0.4368,
      0.4371,
      0.3664,
      0.4923,
      0.1606,
      0.3192,
      0.2549,
      0.3614,
      0.2674,
      0.4395,
      0.3518,
      0.1938,
      0.3973,
      0.3505,
      0.2699,
      0.206,
      0.2433,
      0.3003,
      0.258,
      0.4274,
      0.2711,
      0.3036,
      0.1402,
      0.42,
      0.4128,
      0.3386,
      0.2801,
      0.2967,
      0.2169,
      0.3279,
      0.192,
      0.2678,
      0.2317,
      0.2799,
      0.4283,
      0.3557,
      0.276,
      0.472,
      0.4176,
      0.2526,
      0.4859,
      0.2889,
      0.2804,
      0.4082,
      0.3009,
      0.3459,
      0.3178,
      0.2725,
      0.4618,
      0.4264,
      0.4355,
      0.5167,
      0.3083,
      0.3814,
      0.3061,
      0.397,
      0.3563,
      0.4134,
      0.3418,
      0.3192,
      0.336,
      0.248,
      0.4716,
      0.3695,
      0.3325,
      0.2249,
      0.2905,
      0.3508,
      0.4128,
      0.3801,
      0.3035,
      0.3977,
      0.2822,
      0.4416,
      0.4625,
      0.4107,
      0.332,
      0.2993,
      0.3648,
      0.4969,
      0.3656,
      0.269,
      0.3301,
      0.2761,
      0.2962,
      0.1777,
      0.5649,
      0.3467,
      0.3838,
      0.3676,
      0.4257,
      0.4434,
      0.2139,
      0.2747,
      0.1045,
      0.2123,
      0.2873,
      0.1307,
      0.1935,
      0.238,
      0.1056,
      0.1759,
      0.1022,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1976,
      0.265,
      0,
      0.2338,
      0,
      0.0952,
      0.1103,
      0.314,
      0.1078,
      0.0145,
      0,
      0.15,
      0.054,
      0.1518,
      0.4054,
      0.2298,
      0.0504,
      0.1282,
      0.0444,
      0.2781,
      0.0068,
      0,
      0,
      0.0606,
      0.3104,
      0.2245,
      0.4243,
      0.0444,
      0.2065,
      0.3899,
      0.327,
      0.324,
      0.2911,
      0.285,
      0.4256,
      0.3715,
      0.1943,
      0.3322,
      0.2383,
      0.236,
      0.2119,
      0.2435,
      0.337,
      0.4262,
      0.223,
      0.3094,
      0.1866,
      0.3321,
      0.2947,
      0.2135,
      0.2618,
      0.1744,
      0.2394,
      0.3443,
      0.3805,
      0.2901,
      0.1891,
      0.0389,
      0.3138,
      0.3562,
      0.1135,
      0.2834,
      0.2453,
      0.2268,
      0.4638,
      0.4649,
      0.3261,
      0.3651,
      0.3585,
      0.2098,
      0.2849,
      0.206,
      0.2565,
      0.3044,
      0.1757,
      0.1455,
      0.2266,
      0.4157,
      0.4524,
      0.2187,
      0.2599,
      0.378,
      0.4631,
      0.3172,
      0.2972,
      0.1378,
      0.2568,
      0.2575,
      0.1425,
      0.268,
      0.3102,
      0.4966,
      0.3677,
      0.3553,
      0.3201,
      0.3457,
      0.3854,
      0.3364,
      0.3445,
      0.3232,
      0.1803,
      0.2041,
      0.1221,
      0.4094,
      0.3757,
      0.2455,
      0.1322,
      0.1561,
      0.1314,
      0.3711,
      0.194,
      0.146,
      0.0336,
      0.3285,
      0.4841,
      0.3312,
      0.5478,
      0.2167,
      0.278,
      0.1708,
      0.2934,
      0.358,
      0.3444,
      0.1996,
      0.3487,
      0.3121,
      0.4529,
      0.561,
      0.3617,
      0.3133,
      0.3164,
      0.1921,
      0.2527,
      0.2685,
      0.234,
      0.131,
      0.3806,
      0.5088,
      0.3026,
      0.4022,
      0.2853,
      0.3044,
      0.3116,
      0.2221,
      0.2538,
      0.4857,
      0.1475,
      0.2573,
      0.4588,
      0.4073,
      0.2954,
      0.3509,
      0.3031,
      0.2716,
      0.178,
      0.2806,
      0.2665,
      0.3145,
      0.324,
      0.3768,
      0.5145,
      0.3942,
      0.4196,
      0.2367,
      0.4225,
      0.2348,
      0.4076,
      0.4164,
      0.3087,
      0.4701,
      0.3387,
      0.4528,
      0.3842,
      0.5313,
      0.4827,
      0.2916,
      0.3328,
      0.2464,
      0.2801,
      0.1701,
      0.2728,
      0.2363,
      0.399,
      0.2744,
      0.1491,
      0.2742,
      0.3987,
      0.4052,
      0.4435,
      0.4239,
      0.3597,
      0.4909,
      0.1269,
      0.328,
      0.3104,
      0.3233,
      0.2191,
      0.4332,
      0.2776,
      0.1983,
      0.4075,
      0.4268,
      0.3467,
      0.1787,
      0.1801,
      0.3793,
      0.2647,
      0.412,
      0.354,
      0.3557,
      0.184,
      0.3945,
      0.4631,
      0.2651,
      0.2585,
      0.3497,
      0.3548,
      0.2946,
      0.2581,
      0.3559,
      0.3751,
      0.3911,
      0.3351,
      0.3234,
      0.3349,
      0.4851,
      0.4211,
      0.2974,
      0.48,
      0.4124,
      0.3597,
      0.4757,
      0.3948,
      0.428,
      0.426,
      0.3707,
      0.4323,
      0.4484,
      0.4714,
      0.5529,
      0.2687,
      0.3688,
      0.2677,
      0.3949,
      0.409,
      0.4748,
      0.322,
      0.3065,
      0.2638,
      0.2607,
      0.4791,
      0.3842,
      0.3297,
      0.2871,
      0.3809,
      0.2914,
      0.3357,
      0.3952,
      0.2445,
      0.46,
      0.3178,
      0.4172,
      0.4668,
      0.3097,
      0.395,
      0.3397,
      0.3889,
      0.4189,
      0.3918,
      0.3121,
      0.3428,
      0.274,
      0.2439,
      0.2513,
      0.3958,
      0.3719,
      0.4037,
      0.3711,
      0.3838,
      0.3698,
      0.2852,
      0.2956,
      0.174,
      0.3065,
      0.3677,
      0.1592,
      0.2031,
      0.2986,
      0.1353,
      0.2306,
      0.1363,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1461,
      0.199,
      0,
      0.0969,
      0.0057,
      0.1316,
      0.1217,
      0.2803,
      0.2194,
      0.0903,
      0,
      0.1289,
      0.0157,
      0.0532,
      0.2613,
      0.1456,
      0.099,
      0.1604,
      0.1143,
      0.315,
      0.0247,
      0,
      0,
      0.045,
      0.2916,
      0.1514,
      0.3617,
      0.0761,
      0.1767,
      0.3578,
      0.4061,
      0.3694,
      0.3588,
      0.3111,
      0.4367,
      0.3623,
      0.2637,
      0.291,
      0.2902,
      0.1697,
      0.2062,
      0.1797,
      0.3103,
      0.4703,
      0.2349,
      0.4426,
      0.1076,
      0.2837,
      0.2625,
      0.2329,
      0.2527,
      0.1002,
      0.2189,
      0.3174,
      0.359,
      0.3246,
      0.1533,
      0.1119,
      0.305,
      0.4216,
      0.1598,
      0.2445,
      0.2452,
      0.2182,
      0.501,
      0.4802,
      0.3228,
      0.391,
      0.3175,
      0.2257,
      0.2697,
      0.1599,
      0.2462,
      0.3405,
      0.1294,
      0.1793,
      0.2489,
      0.445,
      0.4055,
      0.3529,
      0.2987,
      0.4329,
      0.4373,
      0.2372,
      0.3999,
      0.3504,
      0.2824,
      0.2357,
      0.153,
      0.2167,
      0.3108,
      0.4441,
      0.406,
      0.4031,
      0.3316,
      0.3434,
      0.4197,
      0.3578,
      0.3328,
      0.3446,
      0.1397,
      0.0898,
      0.1334,
      0.3019,
      0.3391,
      0.2355,
      0.1748,
      0.1603,
      0.0982,
      0.2565,
      0.2476,
      0.1157,
      0.0533,
      0.3221,
      0.4271,
      0.304,
      0.4886,
      0.2012,
      0.3124,
      0.2191,
      0.3364,
      0.369,
      0.3057,
      0.253,
      0.2808,
      0.2239,
      0.5335,
      0.4761,
      0.4146,
      0.3153,
      0.3283,
      0.2466,
      0.2245,
      0.2949,
      0.2835,
      0.1049,
      0.345,
      0.4705,
      0.2996,
      0.4517,
      0.3533,
      0.3306,
      0.2938,
      0.2043,
      0.2745,
      0.5219,
      0.1808,
      0.3065,
      0.4004,
      0.2878,
      0.3411,
      0.3044,
      0.2284,
      0.3062,
      0.2545,
      0.3019,
      0.2625,
      0.3577,
      0.3891,
      0.4119,
      0.5004,
      0.3387,
      0.3293,
      0.2856,
      0.3818,
      0.2215,
      0.548,
      0.421,
      0.2814,
      0.4208,
      0.3625,
      0.4163,
      0.369,
      0.53,
      0.4754,
      0.313,
      0.3638,
      0.285,
      0.2891,
      0.2233,
      0.2455,
      0.1691,
      0.3857,
      0.1918,
      0.2447,
      0.2964,
      0.4174,
      0.4707,
      0.4895,
      0.3308,
      0.4027,
      0.427,
      0.234,
      0.2656,
      0.3605,
      0.3823,
      0.2924,
      0.4069,
      0.2534,
      0.3011,
      0.2768,
      0.3176,
      0.354,
      0.2303,
      0.2881,
      0.3439,
      0.2527,
      0.4259,
      0.23,
      0.2429,
      0.1202,
      0.351,
      0.4777,
      0.2849,
      0.3596,
      0.32,
      0.3235,
      0.2542,
      0.1671,
      0.3528,
      0.3245,
      0.3278,
      0.3634,
      0.3056,
      0.4067,
      0.493,
      0.4449,
      0.2855,
      0.4576,
      0.3851,
      0.3343,
      0.4455,
      0.3625,
      0.3825,
      0.4054,
      0.3802,
      0.4114,
      0.4641,
      0.4566,
      0.485,
      0.3361,
      0.4702,
      0.2577,
      0.3348,
      0.3131,
      0.3846,
      0.3611,
      0.3418,
      0.2778,
      0.2324,
      0.5084,
      0.4465,
      0.3862,
      0.3822,
      0.3311,
      0.265,
      0.3428,
      0.2962,
      0.2089,
      0.4281,
      0.2833,
      0.4417,
      0.5633,
      0.3295,
      0.4271,
      0.3754,
      0.4202,
      0.419,
      0.4478,
      0.3244,
      0.3178,
      0.3461,
      0.2603,
      0.2676,
      0.3409,
      0.3506,
      0.44,
      0.428,
      0.327,
      0.4247,
      0.3045,
      0.298,
      0.1978,
      0.26,
      0.3113,
      0.2375,
      0.1508,
      0.2573,
      0.2003,
      0.2345,
      0.0693,
      0.0123,
      0.0232,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1506,
      0.1698,
      0,
      0.1471,
      0,
      0.0285,
      0.0814,
      0.2429,
      0.2296,
      0.1019,
      0,
      0.0828,
      0.102,
      0,
      0.2733,
      0.1778,
      0.0849,
      0.1618,
      0.1347,
      0.3505,
      0,
      0.1034,
      0,
      0.0398,
      0.239,
      0.1593,
      0.3258,
      0.1364,
      0.178,
      0.3421,
      0.3773,
      0.381,
      0.3278,
      0.3078,
      0.4546,
      0.4287,
      0.2277,
      0.2958,
      0.315,
      0.0864,
      0.1836,
      0.1887,
      0.2838,
      0.5009,
      0.1565,
      0.4134,
      0.0695,
      0.3146,
      0.2902,
      0.2479,
      0.1127,
      0.1952,
      0.1962,
      0.2797,
      0.2478,
      0.2514,
      0.0929,
      0.1245,
      0.3319,
      0.3703,
      0.1544,
      0.3598,
      0.1497,
      0.2086,
      0.471,
      0.4388,
      0.3078,
      0.389,
      0.4009,
      0.2394,
      0.2499,
      0.3227,
      0.2668,
      0.2926,
      0.1527,
      0.1581,
      0.2911,
      0.4197,
      0.3827,
      0.3913,
      0.3432,
      0.3755,
      0.402,
      0.3348,
      0.4105,
      0.3168,
      0.2777,
      0.1342,
      0.2704,
      0.2567,
      0.324,
      0.481,
      0.3777,
      0.3685,
      0.3893,
      0.3913,
      0.3947,
      0.3385,
      0.2935,
      0.2778,
      0.1956,
      0.4675,
      0.0711,
      0.3587,
      0.3082,
      0.1577,
      0.1772,
      0.14,
      0.0935,
      0.336,
      0.2083,
      0.0713,
      0.0443,
      0.1057,
      0.4053,
      0.3802,
      0.5181,
      0.1896,
      0.327,
      0.1242,
      0.3503,
      0.3516,
      0.2484,
      0.2602,
      0.3383,
      0.1807,
      0.5309,
      0.5468,
      0.387,
      0.3901,
      0.2413,
      0.2103,
      0.28,
      0.2807,
      0.2344,
      0.0359,
      0.2899,
      0.4546,
      0.3655,
      0.4516,
      0.2244,
      0.2547,
      0.3953,
      0.3014,
      0.2851,
      0.4995,
      0.1736,
      0.2671,
      0.3407,
      0.3321,
      0.215,
      0.3407,
      0.3281,
      0.2657,
      0.2385,
      0.304,
      0.3384,
      0.3222,
      0.2601,
      0.4421,
      0.48,
      0.4306,
      0.4353,
      0.3191,
      0.4256,
      0.2887,
      0.5416,
      0.3855,
      0.3161,
      0.4586,
      0.3442,
      0.3713,
      0.3955,
      0.4965,
      0.4733,
      0.2889,
      0.3775,
      0.2649,
      0.3156,
      0.1497,
      0.2612,
      0.2651,
      0.366,
      0.2097,
      0.2785,
      0.4407,
      0.4382,
      0.4262,
      0.5116,
      0.311,
      0.3798,
      0.3164,
      0.2206,
      0.2522,
      0.3596,
      0.3373,
      0.3571,
      0.432,
      0.2167,
      0.3261,
      0.3302,
      0.3623,
      0.3272,
      0.2716,
      0.1924,
      0.3728,
      0.309,
      0.3099,
      0.2947,
      0.2757,
      0.0999,
      0.334,
      0.5081,
      0.2863,
      0.2422,
      0.3318,
      0.2374,
      0.1928,
      0.3001,
      0.3668,
      0.3334,
      0.3397,
      0.3174,
      0.4108,
      0.3516,
      0.4623,
      0.4804,
      0.263,
      0.4338,
      0.3423,
      0.3463,
      0.428,
      0.453,
      0.3084,
      0.3673,
      0.352,
      0.464,
      0.5021,
      0.4489,
      0.5234,
      0.3429,
      0.4585,
      0.282,
      0.4079,
      0.3624,
      0.3037,
      0.372,
      0.3144,
      0.3659,
      0.2911,
      0.486,
      0.4257,
      0.3654,
      0.2931,
      0.3313,
      0.2688,
      0.2593,
      0.3927,
      0.2476,
      0.4929,
      0.1868,
      0.4047,
      0.5395,
      0.3674,
      0.4794,
      0.3267,
      0.3736,
      0.4561,
      0.3774,
      0.3196,
      0.3175,
      0.2753,
      0.2888,
      0.2155,
      0.36,
      0.3875,
      0.3789,
      0.4624,
      0.373,
      0.3708,
      0.189,
      0.3215,
      0.1674,
      0.2502,
      0.3144,
      0.1337,
      0.1809,
      0.2634,
      0.2514,
      0.1974,
      0.2643,
      0.0363,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.067,
      0.226,
      0,
      0.2223,
      0,
      0.0597,
      0.0718,
      0.24,
      0.2225,
      0.0075,
      0.0025,
      0.0815,
      0.3213,
      0,
      0.2644,
      0.196,
      0.0143,
      0.1189,
      0.1156,
      0.2357,
      0,
      0.06,
      0,
      0.0508,
      0.2875,
      0.1229,
      0.302,
      0.0882,
      0.1472,
      0.3871,
      0.4818,
      0.3661,
      0.3289,
      0.2585,
      0.5238,
      0.4344,
      0.2703,
      0.2622,
      0.298,
      0.1061,
      0.1398,
      0.2584,
      0.2236,
      0.4843,
      0.2382,
      0.3749,
      0.1188,
      0.3433,
      0.2711,
      0.2215,
      0.1954,
      0.2192,
      0.2258,
      0.2408,
      0.3129,
      0.3224,
      0.1411,
      0.0898,
      0.3325,
      0.2917,
      0.1138,
      0.2972,
      0.0813,
      0.169,
      0.4946,
      0.4028,
      0.3335,
      0.3785,
      0.4716,
      0.0784,
      0.2535,
      0.3008,
      0.2468,
      0.2703,
      0.1524,
      0.1062,
      0.2622,
      0.4443,
      0.3316,
      0.3065,
      0.2461,
      0.4163,
      0.4288,
      0.4104,
      0.3784,
      0.248,
      0.2031,
      0.2384,
      0.2373,
      0.2988,
      0.2145,
      0.4996,
      0.3575,
      0.3828,
      0.375,
      0.4032,
      0.3747,
      0.3469,
      0.2496,
      0.2726,
      0.1339,
      0.4791,
      0.038,
      0.325,
      0.3376,
      0.1755,
      0.1428,
      0.1019,
      0.1248,
      0.3609,
      0.2081,
      0.119,
      0.1049,
      0.2583,
      0.4098,
      0.2903,
      0.48,
      0.2229,
      0.3159,
      0.1868,
      0.262,
      0.3237,
      0.2018,
      0.3105,
      0.3331,
      0.2217,
      0.4099,
      0.5193,
      0.3597,
      0.4348,
      0.1837,
      0.1663,
      0.3462,
      0.2474,
      0.2869,
      0.1136,
      0.2542,
      0.3948,
      0.3404,
      0.3737,
      0.3241,
      0.1687,
      0.4544,
      0.252,
      0.2567,
      0.5297,
      0.151,
      0.3305,
      0.3528,
      0.2925,
      0.2746,
      0.3691,
      0.183,
      0.2491,
      0.2717,
      0.3102,
      0.3709,
      0.2613,
      0.2956,
      0.3686,
      0.4188,
      0.4692,
      0.4563,
      0.3384,
      0.3698,
      0.1247,
      0.5433,
      0.3817,
      0.3781,
      0.384,
      0.3374,
      0.4078,
      0.3699,
      0.4732,
      0.4576,
      0.3136,
      0.3183,
      0.3823,
      0.1666,
      0.1747,
      0.2489,
      0.3556,
      0.4296,
      0.1073,
      0.4135,
      0.4835,
      0.4414,
      0.4435,
      0.4485,
      0.3355,
      0.2928,
      0.3561,
      0.1956,
      0.2779,
      0.366,
      0.3119,
      0.2952,
      0.4905,
      0.2212,
      0.3478,
      0.3072,
      0.3904,
      0.3672,
      0.2629,
      0.2342,
      0.3881,
      0.3463,
      0.3423,
      0.2633,
      0.3506,
      0.0062,
      0.2736,
      0.5767,
      0.3302,
      0.2012,
      0.3479,
      0.2743,
      0.2304,
      0.287,
      0.374,
      0.3849,
      0.3857,
      0.2998,
      0.3359,
      0.3365,
      0.4411,
      0.4109,
      0.2221,
      0.4312,
      0.3425,
      0.413,
      0.4733,
      0.4564,
      0.4288,
      0.3548,
      0.4187,
      0.4268,
      0.4579,
      0.4603,
      0.5511,
      0.2708,
      0.4132,
      0.172,
      0.3686,
      0.3455,
      0.3269,
      0.3736,
      0.2862,
      0.3597,
      0.2884,
      0.4672,
      0.426,
      0.2812,
      0.2624,
      0.3344,
      0.2271,
      0.3043,
      0.2802,
      0.308,
      0.4578,
      0.2946,
      0.4158,
      0.4858,
      0.377,
      0.4384,
      0.3352,
      0.3695,
      0.3089,
      0.358,
      0.2988,
      0.2396,
      0.2101,
      0.2579,
      0.1447,
      0.3459,
      0.2959,
      0.4721,
      0.5081,
      0.3243,
      0.3837,
      0.1978,
      0.1788,
      0.1937,
      0.1659,
      0.2889,
      0.139,
      0.1811,
      0.2453,
      0.1583,
      0.2437,
      0.1628,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0584,
      0.2824,
      0,
      0.2695,
      0.0416,
      0.1326,
      0.0824,
      0.2255,
      0.1445,
      0.0969,
      0,
      0.1679,
      0.2767,
      0,
      0.3262,
      0.2477,
      0.0865,
      0.0019,
      0.0826,
      0.2579,
      0,
      0.0634,
      0,
      0.0636,
      0.2634,
      0.1733,
      0.3274,
      0.1367,
      0.1138,
      0.3642,
      0.3593,
      0.3368,
      0.4036,
      0.2753,
      0.4978,
      0.4172,
      0.3349,
      0.3042,
      0.3141,
      0.0587,
      0.1743,
      0.2127,
      0.2537,
      0.5399,
      0.2044,
      0.3804,
      0.2455,
      0.3147,
      0.2889,
      0.2139,
      0.2032,
      0.2152,
      0.3136,
      0.3034,
      0.3064,
      0.2998,
      0.1465,
      0.127,
      0.3249,
      0.295,
      0.1444,
      0.3015,
      0.141,
      0.1596,
      0.4214,
      0.4356,
      0.197,
      0.415,
      0.3804,
      0.264,
      0.2757,
      0.2667,
      0.2494,
      0.2782,
      0.127,
      0.0727,
      0.1338,
      0.4135,
      0.2857,
      0.3169,
      0.2707,
      0.4434,
      0.4723,
      0.3593,
      0.322,
      0.2509,
      0.1289,
      0.1697,
      0.187,
      0.3408,
      0.2851,
      0.5654,
      0.3417,
      0.372,
      0.3135,
      0.3963,
      0.3324,
      0.3269,
      0.2554,
      0.3949,
      0.1922,
      0.2028,
      0.0217,
      0.3998,
      0.2974,
      0.1515,
      0.1753,
      0.1586,
      0.1684,
      0.3245,
      0.1724,
      0.1001,
      0,
      0.2545,
      0.4269,
      0.2581,
      0.4612,
      0.224,
      0.3379,
      0.1516,
      0.3047,
      0.2962,
      0.2759,
      0.2619,
      0.2518,
      0.1496,
      0.3868,
      0.5002,
      0.4129,
      0.2726,
      0.3281,
      0.1847,
      0.2919,
      0.2644,
      0.2265,
      0.1227,
      0.3875,
      0.482,
      0.2974,
      0.4336,
      0.3684,
      0.2499,
      0.4265,
      0.1517,
      0.2398,
      0.5259,
      0.16,
      0.3755,
      0.3887,
      0.3129,
      0.224,
      0.2948,
      0.2684,
      0.291,
      0.2926,
      0.2867,
      0.375,
      0.2885,
      0.379,
      0.4344,
      0.3875,
      0.4577,
      0.4414,
      0.3766,
      0.4384,
      0.2043,
      0.4576,
      0.4759,
      0.411,
      0.4388,
      0.3192,
      0.3791,
      0.3416,
      0.515,
      0.5011,
      0.4077,
      0.3195,
      0.3055,
      0.216,
      0.2683,
      0.2579,
      0.3566,
      0.3495,
      0.1931,
      0.2988,
      0.3858,
      0.4122,
      0.4785,
      0.4673,
      0.3139,
      0.3233,
      0.4437,
      0.1586,
      0.3307,
      0.4107,
      0.363,
      0.2966,
      0.3362,
      0.3544,
      0.2806,
      0.3877,
      0.3626,
      0.357,
      0.1881,
      0.315,
      0.3832,
      0.2487,
      0.2996,
      0.2913,
      0.276,
      0.1388,
      0.3629,
      0.5178,
      0.2375,
      0.3441,
      0.3985,
      0.2997,
      0.3009,
      0.2726,
      0.3854,
      0.3128,
      0.3685,
      0.4807,
      0.3027,
      0.328,
      0.4721,
      0.4297,
      0.2283,
      0.452,
      0.2971,
      0.4248,
      0.5106,
      0.4331,
      0.3636,
      0.3991,
      0.3959,
      0.3726,
      0.3845,
      0.559,
      0.5474,
      0.2805,
      0.4525,
      0.1778,
      0.4095,
      0.3909,
      0.3621,
      0.3541,
      0.3988,
      0.3077,
      0.2923,
      0.4825,
      0.4081,
      0.3743,
      0.3536,
      0.365,
      0.254,
      0.4262,
      0.3779,
      0.2527,
      0.4549,
      0.3262,
      0.3862,
      0.3956,
      0.3996,
      0.4444,
      0.3241,
      0.3728,
      0.3378,
      0.3828,
      0.3182,
      0.2063,
      0.259,
      0.363,
      0.0845,
      0.3374,
      0.3277,
      0.4745,
      0.472,
      0.4128,
      0.4321,
      0.2552,
      0.2121,
      0.1575,
      0.2639,
      0.2977,
      0.1291,
      0.1583,
      0.2175,
      0.2338,
      0.2163,
      0.0658,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1354,
      0.2526,
      0,
      0.2166,
      0.0481,
      0.1254,
      0.1053,
      0.2305,
      0.1203,
      0.0456,
      0.0121,
      0.1473,
      0.0742,
      0.0996,
      0.2854,
      0.1619,
      0.2726,
      0.0844,
      0.0529,
      0.3061,
      0,
      0,
      0,
      0,
      0.2344,
      0.1473,
      0.2567,
      0.0158,
      0.2028,
      0.3222,
      0.4067,
      0.2927,
      0.3807,
      0.2447,
      0.3612,
      0.4167,
      0.3116,
      0.2666,
      0.2703,
      0.0608,
      0.1285,
      0.2115,
      0.3006,
      0.4311,
      0.1684,
      0.3265,
      0.2278,
      0.259,
      0.4219,
      0.3,
      0.1941,
      0.2414,
      0.2499,
      0.3631,
      0.3776,
      0.258,
      0.116,
      0.1298,
      0.3082,
      0.2364,
      0.1866,
      0.2838,
      0.1906,
      0.1011,
      0.4606,
      0.4274,
      0.2916,
      0.3602,
      0.3759,
      0.2567,
      0.299,
      0.2424,
      0.2372,
      0.2853,
      0.2307,
      0.1243,
      0.1931,
      0.3827,
      0.2761,
      0.3224,
      0.2343,
      0.3912,
      0.4957,
      0.2065,
      0.3245,
      0.1368,
      0.1797,
      0.1871,
      0.1564,
      0.3814,
      0.2768,
      0.5293,
      0.3472,
      0.3994,
      0.389,
      0.4183,
      0.3656,
      0.3423,
      0.2393,
      0.3755,
      0.1494,
      0.2023,
      0.0644,
      0.3666,
      0.303,
      0.1329,
      0.1618,
      0.1793,
      0.1149,
      0.3636,
      0.2264,
      0.1555,
      0,
      0.2755,
      0.4263,
      0.2035,
      0.4506,
      0.1963,
      0.2541,
      0.1008,
      0.326,
      0.3429,
      0.2438,
      0.2813,
      0.3052,
      0.1921,
      0.3966,
      0.4085,
      0.4097,
      0.2755,
      0.3163,
      0.1153,
      0.2665,
      0.1963,
      0.2746,
      0.1317,
      0.2902,
      0.4845,
      0.3171,
      0.3177,
      0.2765,
      0.2665,
      0.3746,
      0.2411,
      0.1868,
      0.5018,
      0.1658,
      0.3529,
      0.3665,
      0.3202,
      0.2473,
      0.2534,
      0.2218,
      0.3328,
      0.3306,
      0.2889,
      0.4215,
      0.2575,
      0.3448,
      0.3801,
      0.4476,
      0.4076,
      0.3906,
      0.4003,
      0.4641,
      0.1764,
      0.4036,
      0.4638,
      0.4556,
      0.3588,
      0.3252,
      0.4213,
      0.3678,
      0.4923,
      0.5013,
      0.3536,
      0.246,
      0.2743,
      0.2237,
      0.2774,
      0.2237,
      0.418,
      0.3692,
      0.2034,
      0.2754,
      0.3555,
      0.3331,
      0.4418,
      0.4286,
      0.3113,
      0.2847,
      0.3004,
      0.182,
      0.3662,
      0.3182,
      0.3562,
      0.3063,
      0.3951,
      0.3311,
      0.2337,
      0.3686,
      0.4048,
      0.3735,
      0.1938,
      0.3958,
      0.3583,
      0.2932,
      0.3605,
      0.2929,
      0.2408,
      0.1131,
      0.3929,
      0.4805,
      0.3487,
      0.3172,
      0.3308,
      0.3523,
      0.3138,
      0.2428,
      0.3192,
      0.3185,
      0.3622,
      0.4169,
      0.2494,
      0.3577,
      0.3869,
      0.4625,
      0.3225,
      0.4634,
      0.3507,
      0.3977,
      0.4652,
      0.3922,
      0.3994,
      0.3928,
      0.4498,
      0.4126,
      0.4212,
      0.5252,
      0.535,
      0.256,
      0.3524,
      0.214,
      0.4126,
      0.3278,
      0.2726,
      0.258,
      0.3755,
      0.3368,
      0.2425,
      0.3484,
      0.4399,
      0.3368,
      0.2771,
      0.3734,
      0.268,
      0.3846,
      0.3806,
      0.2649,
      0.3891,
      0.4232,
      0.4132,
      0.4705,
      0.4065,
      0.5017,
      0.3713,
      0.4223,
      0.4647,
      0.3991,
      0.3252,
      0.2264,
      0.3694,
      0.3764,
      0.2335,
      0.3181,
      0.3599,
      0.467,
      0.4662,
      0.3234,
      0.3588,
      0.2218,
      0.2888,
      0.1549,
      0.2612,
      0.3501,
      0.0988,
      0,
      0.2902,
      0.1476,
      0.2491,
      0.1038,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1111,
      0.2311,
      0,
      0.212,
      0,
      0.0928,
      0.0363,
      0.2636,
      0.203,
      0.052,
      0,
      0.1684,
      0.0528,
      0.136,
      0.2774,
      0.1879,
      0.182,
      0.1041,
      0.063,
      0.3617,
      0,
      0.0621,
      0,
      0.0207,
      0.3287,
      0.0971,
      0.288,
      0.06,
      0.2103,
      0.3123,
      0.3125,
      0.3576,
      0.3094,
      0.2251,
      0.388,
      0.3544,
      0.2222,
      0.3944,
      0.324,
      0.1069,
      0.133,
      0.2522,
      0.2352,
      0.4422,
      0.219,
      0.3331,
      0.1646,
      0.2723,
      0.3813,
      0.2192,
      0.162,
      0.2541,
      0.213,
      0.308,
      0.3611,
      0.177,
      0.1373,
      0.1046,
      0.2648,
      0.2552,
      0.1484,
      0.2785,
      0.2459,
      0.105,
      0.4481,
      0.4486,
      0.2846,
      0.3946,
      0.3655,
      0.2053,
      0.3567,
      0.253,
      0.1853,
      0.2422,
      0.1375,
      0.1247,
      0.2729,
      0.4376,
      0.3283,
      0.3014,
      0.2635,
      0.3726,
      0.3953,
      0.2186,
      0.2929,
      0.2058,
      0.1744,
      0.2559,
      0.1525,
      0.3507,
      0.2951,
      0.5054,
      0.3724,
      0.3802,
      0.3841,
      0.3829,
      0.3202,
      0.2678,
      0.2623,
      0.2666,
      0.1603,
      0.1558,
      0.0645,
      0.4517,
      0.3944,
      0.1858,
      0.1952,
      0.12,
      0.178,
      0.3285,
      0.2326,
      0.3586,
      0,
      0.2417,
      0.4488,
      0.2874,
      0.451,
      0.1634,
      0.2866,
      0.1917,
      0.2666,
      0.3242,
      0.3345,
      0.3013,
      0.2826,
      0.1501,
      0.4555,
      0.457,
      0.5196,
      0.2483,
      0.1592,
      0.2322,
      0.2965,
      0.216,
      0.2404,
      0.148,
      0.3772,
      0.4897,
      0.2542,
      0.3617,
      0.2894,
      0.1745,
      0.3159,
      0.3082,
      0.2526,
      0.4515,
      0.1604,
      0.3655,
      0.3996,
      0.3501,
      0.2607,
      0.2514,
      0.3238,
      0.4425,
      0.306,
      0.2049,
      0.3843,
      0.2935,
      0.3467,
      0.3552,
      0.3952,
      0.451,
      0.3544,
      0.4313,
      0.4481,
      0.1618,
      0.477,
      0.4658,
      0.4588,
      0.3191,
      0.3479,
      0.4198,
      0.3333,
      0.4548,
      0.4197,
      0.3202,
      0.3332,
      0.2957,
      0.2553,
      0.2277,
      0.27,
      0.2627,
      0.2719,
      0.2301,
      0.2929,
      0.2973,
      0.4018,
      0.4375,
      0.4427,
      0.3426,
      0.4013,
      0.3407,
      0.2,
      0.3597,
      0.3273,
      0.3783,
      0.2369,
      0.469,
      0.2757,
      0.3795,
      0.3769,
      0.3426,
      0.3283,
      0.1761,
      0.4019,
      0.3437,
      0.2398,
      0.4393,
      0.2774,
      0.2351,
      0.1144,
      0.2593,
      0.4849,
      0.265,
      0.2727,
      0.2171,
      0.3452,
      0.3216,
      0.2383,
      0.4201,
      0.3056,
      0.3549,
      0.4953,
      0.1702,
      0.3815,
      0.4744,
      0.4739,
      0.2788,
      0.4951,
      0.3414,
      0.3795,
      0.4678,
      0.4001,
      0.4128,
      0.3808,
      0.2863,
      0.4172,
      0.6037,
      0.5344,
      0.4844,
      0.2701,
      0.3734,
      0.2589,
      0.4011,
      0.3873,
      0.2027,
      0.3513,
      0.2254,
      0.4197,
      0.2663,
      0.5025,
      0.4239,
      0.3028,
      0.2521,
      0.2926,
      0.3028,
      0.3322,
      0.2844,
      0.2446,
      0.3593,
      0.4338,
      0.3787,
      0.4576,
      0.3053,
      0.4107,
      0.3073,
      0.4339,
      0.4935,
      0.3475,
      0.311,
      0.1416,
      0.3272,
      0.4019,
      0.191,
      0.447,
      0.3175,
      0.4116,
      0.5059,
      0.3773,
      0.3648,
      0.2885,
      0.3296,
      0.1405,
      0.3141,
      0.2355,
      0.143,
      0.0824,
      0.2679,
      0.2175,
      0.2439,
      0.2069,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0448,
      0.2645,
      0,
      0.1998,
      0,
      0.1185,
      0.0784,
      0.216,
      0.2031,
      0.1078,
      0,
      0.1863,
      0.0939,
      0.1563,
      0.3744,
      0.1454,
      0.1236,
      0.1403,
      0.0656,
      0.3624,
      0,
      0.1411,
      0,
      0.0272,
      0.2801,
      0.1619,
      0.355,
      0.0411,
      0.1319,
      0.2945,
      0.2972,
      0.2866,
      0.2871,
      0.2651,
      0.3506,
      0.3475,
      0.1204,
      0.3548,
      0.2479,
      0.1973,
      0.1926,
      0.1735,
      0.2574,
      0.499,
      0.2325,
      0.3119,
      0.1235,
      0.1924,
      0.3035,
      0.1761,
      0.2239,
      0.2554,
      0.2027,
      0.3627,
      0.365,
      0.23,
      0.1858,
      0.0891,
      0.2469,
      0.3292,
      0.1859,
      0.2755,
      0.2958,
      0.1432,
      0.4472,
      0.4892,
      0.3784,
      0.4341,
      0.3501,
      0.2818,
      0.2977,
      0.2664,
      0.23,
      0.2211,
      0.1177,
      0.1656,
      0.2933,
      0.464,
      0.334,
      0.2552,
      0.2931,
      0.3583,
      0.4177,
      0.2927,
      0.3473,
      0.3739,
      0.2811,
      0.3417,
      0.1689,
      0.3064,
      0.2802,
      0.4349,
      0.345,
      0.5005,
      0.3873,
      0.3986,
      0.3069,
      0.2772,
      0.5329,
      0.2293,
      0.1642,
      0.1932,
      0.0805,
      0.38,
      0.3232,
      0.2517,
      0.1918,
      0.1546,
      0.0644,
      0.2723,
      0.2183,
      0.1411,
      0,
      0.3727,
      0.4377,
      0.3386,
      0.3632,
      0.1918,
      0.2637,
      0.1557,
      0.2195,
      0.2938,
      0.3573,
      0.3034,
      0.295,
      0.2675,
      0.363,
      0.4278,
      0.4111,
      0.2094,
      0.1648,
      0.1756,
      0.2936,
      0.1903,
      0.2432,
      0.1679,
      0.3195,
      0.4651,
      0.2506,
      0.382,
      0.2362,
      0.162,
      0.3324,
      0.3107,
      0.2362,
      0.418,
      0.185,
      0.3171,
      0.3254,
      0.2906,
      0.3006,
      0.3276,
      0.2328,
      0.3499,
      0.3075,
      0.2753,
      0.311,
      0.1378,
      0.351,
      0.3696,
      0.4751,
      0.4195,
      0.3825,
      0.363,
      0.4888,
      0.2886,
      0.4558,
      0.3734,
      0.3401,
      0.2627,
      0.3337,
      0.4258,
      0.408,
      0.4976,
      0.4617,
      0.3691,
      0.2951,
      0.2817,
      0.3228,
      0.26,
      0.2583,
      0.249,
      0.3509,
      0.2916,
      0.3511,
      0.2713,
      0.4195,
      0.4908,
      0.4701,
      0.3916,
      0.3655,
      0.4077,
      0.1526,
      0.2931,
      0.2892,
      0.3002,
      0.2119,
      0.4276,
      0.2434,
      0.3427,
      0.4013,
      0.3025,
      0.2831,
      0.3229,
      0.3353,
      0.335,
      0.2163,
      0.4225,
      0.3785,
      0.2738,
      0.1452,
      0.3078,
      0.3945,
      0.307,
      0.2919,
      0.3012,
      0.3522,
      0.2961,
      0.3085,
      0.3897,
      0.2985,
      0.3601,
      0.4245,
      0.304,
      0.4581,
      0.4424,
      0.4408,
      0.2632,
      0.5142,
      0.2199,
      0.3749,
      0.52,
      0.3366,
      0.423,
      0.354,
      0.3372,
      0.3723,
      0.5324,
      0.4399,
      0.5129,
      0.3298,
      0.4031,
      0.3084,
      0.4204,
      0.458,
      0.2584,
      0.371,
      0.2533,
      0.4033,
      0.2383,
      0.5644,
      0.4248,
      0.3697,
      0.3426,
      0.2489,
      0.3085,
      0.3418,
      0.3029,
      0.2742,
      0.3537,
      0.3767,
      0.2368,
      0.5171,
      0.3907,
      0.3319,
      0.3164,
      0.4273,
      0.5276,
      0.2945,
      0.3315,
      0.3529,
      0.2776,
      0.377,
      0.1645,
      0.3873,
      0.3125,
      0.4139,
      0.4302,
      0.3838,
      0.3751,
      0.2413,
      0.3149,
      0.0791,
      0.3403,
      0.4466,
      0.1871,
      0.0674,
      0.2601,
      0.0897,
      0.2212,
      0.3106,
      0,
      0.0012,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0657,
      0.1631,
      0,
      0.2839,
      0,
      0.1482,
      0,
      0.2145,
      0.2489,
      0.1046,
      0,
      0.1762,
      0.1021,
      0.0936,
      0.341,
      0.2267,
      0.0343,
      0.0709,
      0.1822,
      0.3237,
      0,
      0.2278,
      0,
      0.0331,
      0.2919,
      0.111,
      0.3752,
      0.0932,
      0.1873,
      0.2592,
      0.3307,
      0.2981,
      0.3551,
      0.2352,
      0.4152,
      0.3414,
      0.2716,
      0.318,
      0.2302,
      0.1722,
      0.1275,
      0.1517,
      0.2613,
      0.4562,
      0.3435,
      0.3387,
      0.1069,
      0.2218,
      0.2274,
      0.1756,
      0.2061,
      0.2361,
      0.1523,
      0.3431,
      0.271,
      0.3252,
      0.0896,
      0.0803,
      0.259,
      0.3871,
      0.1838,
      0.2993,
      0.3562,
      0.1584,
      0.4237,
      0.4155,
      0.3265,
      0.4196,
      0.3378,
      0.2128,
      0.2815,
      0.2102,
      0.2511,
      0.2947,
      0.151,
      0.1648,
      0.3676,
      0.4026,
      0.3752,
      0.3313,
      0.2899,
      0.3459,
      0.3947,
      0.2681,
      0.3434,
      0.4052,
      0.3263,
      0.1943,
      0.2138,
      0.3133,
      0.3034,
      0.4261,
      0.3534,
      0.4298,
      0.312,
      0.4315,
      0.3351,
      0.2994,
      0.4919,
      0.2985,
      0.1486,
      0.2028,
      0.0223,
      0.3352,
      0.4088,
      0.2284,
      0.1343,
      0.1258,
      0.1295,
      0.3629,
      0.2217,
      0.1007,
      0,
      0.4387,
      0.4049,
      0.3078,
      0.4527,
      0.1436,
      0.2434,
      0.1232,
      0.2822,
      0.2633,
      0.2975,
      0.3307,
      0.3368,
      0.2425,
      0.3867,
      0.4105,
      0.3451,
      0.2991,
      0.3135,
      0.3232,
      0.2932,
      0.2281,
      0.2477,
      0.1813,
      0.2856,
      0.4466,
      0.2781,
      0.3666,
      0.3207,
      0.2418,
      0.2787,
      0.2169,
      0.3224,
      0.466,
      0.1971,
      0.2278,
      0.3966,
      0.3193,
      0.2636,
      0.2608,
      0.3123,
      0.2936,
      0.2362,
      0.3646,
      0.3395,
      0.2081,
      0.3066,
      0.2717,
      0.3922,
      0.433,
      0.3992,
      0.364,
      0.455,
      0.256,
      0.5518,
      0.4248,
      0.3249,
      0.2707,
      0.3307,
      0.4208,
      0.4016,
      0.4508,
      0.3964,
      0.3288,
      0.3466,
      0.3006,
      0.2371,
      0.3018,
      0.2263,
      0.1985,
      0.3653,
      0.2946,
      0.3326,
      0.3229,
      0.3807,
      0.3587,
      0.4014,
      0.3998,
      0.3966,
      0.4162,
      0.0977,
      0.3199,
      0.3072,
      0.3031,
      0.3455,
      0.4332,
      0.2357,
      0.3194,
      0.3492,
      0.3145,
      0.3933,
      0.3579,
      0.2746,
      0.3118,
      0.2707,
      0.3812,
      0.2699,
      0.372,
      0.1571,
      0.3298,
      0.3464,
      0.2576,
      0.3076,
      0.3152,
      0.3329,
      0.244,
      0.3075,
      0.372,
      0.2797,
      0.3412,
      0.4068,
      0.4138,
      0.3981,
      0.3895,
      0.3606,
      0.262,
      0.5278,
      0.351,
      0.2736,
      0.5277,
      0.4044,
      0.3791,
      0.3766,
      0.3741,
      0.4271,
      0.4189,
      0.4431,
      0.4907,
      0.3097,
      0.4455,
      0.2509,
      0.4122,
      0.3305,
      0.3239,
      0.2873,
      0.2177,
      0.4028,
      0.2561,
      0.4636,
      0.4419,
      0.3244,
      0.3582,
      0.2804,
      0.3354,
      0.3057,
      0.2913,
      0.3262,
      0.3681,
      0.377,
      0.3459,
      0.4989,
      0.3776,
      0.3495,
      0.3602,
      0.4002,
      0.4764,
      0.5237,
      0.4685,
      0.3162,
      0.2401,
      0.3248,
      0.1044,
      0.4168,
      0.4928,
      0.4528,
      0.4095,
      0.3397,
      0.4673,
      0.1682,
      0.2925,
      0.1441,
      0.2632,
      0.4043,
      0.1582,
      0.0974,
      0.0934,
      0.1461,
      0.1999,
      0.2417,
      0,
      0.0105,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0821,
      0.2622,
      0,
      0.2817,
      0.0566,
      0.1582,
      0.0815,
      0.2721,
      0.2684,
      0.194,
      0,
      0.148,
      0.2525,
      0.0365,
      0.3215,
      0.154,
      0.0628,
      0.1301,
      0.2234,
      0.304,
      0,
      0.1232,
      0,
      0,
      0.3547,
      0.0889,
      0.3355,
      0.0776,
      0.1464,
      0.3391,
      0.3013,
      0.3346,
      0.3306,
      0.2382,
      0.3981,
      0.3111,
      0.3332,
      0.2793,
      0.3156,
      0.1178,
      0.2229,
      0.2055,
      0.2703,
      0.4171,
      0.2939,
      0.3209,
      0.1224,
      0.2525,
      0.3169,
      0.2119,
      0.2482,
      0.2293,
      0.2347,
      0.2861,
      0.3331,
      0.3253,
      0.2203,
      0.1385,
      0.2692,
      0.3249,
      0.2036,
      0.3496,
      0.3364,
      0.1796,
      0.4001,
      0.4646,
      0.3169,
      0.4057,
      0.3534,
      0.2011,
      0.2399,
      0.2381,
      0.2045,
      0.2555,
      0.1502,
      0.1301,
      0.3857,
      0.4127,
      0.374,
      0.3333,
      0.3158,
      0.3022,
      0.4583,
      0.2652,
      0.3303,
      0.2378,
      0.3016,
      0.1236,
      0.1759,
      0.3032,
      0.3169,
      0.364,
      0.4003,
      0.4563,
      0.3808,
      0.418,
      0.3159,
      0.334,
      0.2202,
      0.285,
      0.1162,
      0.1252,
      0.0645,
      0.3665,
      0.3737,
      0.2192,
      0.2109,
      0.2223,
      0.1073,
      0.3976,
      0.2147,
      0.0302,
      0.0323,
      0.4056,
      0.3479,
      0.3254,
      0.4619,
      0.2386,
      0.2691,
      0.1399,
      0.2663,
      0.231,
      0.3289,
      0.2694,
      0.286,
      0.2297,
      0.3979,
      0.3974,
      0.3298,
      0.2602,
      0.3062,
      0.2065,
      0.2377,
      0.2281,
      0.2363,
      0.181,
      0.3027,
      0.4311,
      0.3771,
      0.4184,
      0.3053,
      0.2715,
      0.3086,
      0.2699,
      0.3736,
      0.4399,
      0.2573,
      0.2348,
      0.2866,
      0.328,
      0.354,
      0.3539,
      0.3439,
      0.3027,
      0.1932,
      0.3731,
      0.3635,
      0.2676,
      0.3326,
      0.4282,
      0.3661,
      0.3817,
      0.2965,
      0.2798,
      0.3567,
      0.3137,
      0.5168,
      0.3996,
      0.3057,
      0.2316,
      0.2896,
      0.3842,
      0.425,
      0.4913,
      0.4591,
      0.3549,
      0.3636,
      0.3428,
      0.2964,
      0.185,
      0.2397,
      0.1737,
      0.4084,
      0.177,
      0.3601,
      0.3552,
      0.3634,
      0.434,
      0.4197,
      0.4352,
      0.261,
      0.3933,
      0.1498,
      0.2209,
      0.2027,
      0.3028,
      0.3007,
      0.419,
      0.3012,
      0.3787,
      0.3634,
      0.3787,
      0.3572,
      0.3089,
      0.3093,
      0.2841,
      0.2561,
      0.3412,
      0.2175,
      0.361,
      0.1209,
      0.3417,
      0.4448,
      0.3288,
      0.3019,
      0.4026,
      0.3561,
      0.1453,
      0.3031,
      0.4324,
      0.4104,
      0.3408,
      0.317,
      0.2483,
      0.3377,
      0.4688,
      0.4043,
      0.2572,
      0.4631,
      0.357,
      0.3702,
      0.4896,
      0.3659,
      0.425,
      0.3762,
      0.337,
      0.4064,
      0.3667,
      0.475,
      0.4725,
      0.4001,
      0.4529,
      0.1609,
      0.4137,
      0.3639,
      0.4272,
      0.3621,
      0.2899,
      0.4243,
      0.2371,
      0.4029,
      0.3799,
      0.3541,
      0.2972,
      0.3897,
      0.1726,
      0.2591,
      0.3445,
      0.3242,
      0.3783,
      0.3469,
      0.3425,
      0.4678,
      0.3993,
      0.3733,
      0.397,
      0.373,
      0.5158,
      0.5251,
      0.452,
      0.2347,
      0.2121,
      0.302,
      0.1635,
      0.344,
      0.2679,
      0.4353,
      0.5031,
      0.3101,
      0.3536,
      0.299,
      0.3209,
      0.1415,
      0.1838,
      0.3282,
      0.1474,
      0.0878,
      0.1679,
      0.1435,
      0.2578,
      0.1748,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1452,
      0.2936,
      0,
      0.3486,
      0,
      0.1675,
      0.1378,
      0.2412,
      0.2801,
      0.1093,
      0,
      0.0852,
      0.2642,
      0,
      0.3102,
      0.1884,
      0.1317,
      0.0877,
      0.1964,
      0.2576,
      0,
      0.1112,
      0,
      0.0361,
      0.3468,
      0,
      0.4023,
      0.1089,
      0.1603,
      0.3269,
      0.3512,
      0.2751,
      0.3385,
      0.1734,
      0.3747,
      0.3389,
      0.3076,
      0.2823,
      0.2289,
      0.142,
      0.1452,
      0.194,
      0.2029,
      0.4479,
      0.2644,
      0.3736,
      0.1234,
      0.2589,
      0.2945,
      0.2785,
      0.2794,
      0.2387,
      0.1668,
      0.2462,
      0.3699,
      0.3623,
      0.1912,
      0.0949,
      0.2916,
      0.222,
      0.1943,
      0.2257,
      0.2097,
      0.1456,
      0.3633,
      0.4717,
      0.2642,
      0.3824,
      0.3765,
      0.1962,
      0.2281,
      0.229,
      0.18,
      0.2513,
      0.0944,
      0.0435,
      0.2598,
      0.4182,
      0.3269,
      0.3371,
      0.2873,
      0.3787,
      0.5343,
      0.2561,
      0.2977,
      0.2208,
      0.2056,
      0.1774,
      0.1481,
      0.3136,
      0.209,
      0.4368,
      0.3689,
      0.4545,
      0.3582,
      0.4495,
      0.2596,
      0.3221,
      0.2423,
      0.3242,
      0.0889,
      0.1916,
      0.0818,
      0.3723,
      0.2993,
      0.215,
      0.1335,
      0.1751,
      0.1728,
      0.3465,
      0.1756,
      0.1172,
      0.1004,
      0.2945,
      0.4121,
      0.3288,
      0.4735,
      0.242,
      0.3053,
      0.165,
      0.2694,
      0.2824,
      0.3306,
      0.17,
      0.3272,
      0.2286,
      0.3897,
      0.4166,
      0.395,
      0.2358,
      0.2974,
      0.1775,
      0.3011,
      0.1257,
      0.1956,
      0.0202,
      0.3791,
      0.428,
      0.3606,
      0.3532,
      0.3965,
      0.2614,
      0.379,
      0.2692,
      0.291,
      0.4467,
      0.3104,
      0.211,
      0.4031,
      0.2985,
      0.2961,
      0.2533,
      0.2259,
      0.2141,
      0.2771,
      0.2573,
      0.3503,
      0.2628,
      0.3309,
      0.3892,
      0.4153,
      0.3742,
      0.3662,
      0.3771,
      0.343,
      0.171,
      0.4706,
      0.436,
      0.3666,
      0.2613,
      0.2577,
      0.3691,
      0.397,
      0.4617,
      0.474,
      0.3349,
      0.3138,
      0.2966,
      0.1551,
      0.1799,
      0.249,
      0.1983,
      0.3361,
      0.2916,
      0.4497,
      0.3992,
      0.2414,
      0.3874,
      0.4206,
      0.3899,
      0.3426,
      0.3975,
      0.0982,
      0.1823,
      0.3015,
      0.3369,
      0.2909,
      0.4688,
      0.395,
      0.3083,
      0.316,
      0.3652,
      0.3843,
      0.3019,
      0.2348,
      0.2906,
      0.2647,
      0.3944,
      0.2551,
      0.2099,
      0.1187,
      0.3268,
      0.4453,
      0.2426,
      0.3256,
      0.3445,
      0.3114,
      0.3722,
      0.2015,
      0.4144,
      0.3176,
      0.4084,
      0.3236,
      0.1601,
      0.3094,
      0.4386,
      0.308,
      0.2955,
      0.4473,
      0.3214,
      0.329,
      0.4886,
      0.4458,
      0.3532,
      0.3587,
      0.377,
      0.3624,
      0.3717,
      0.4781,
      0.4691,
      0.3081,
      0.4364,
      0.1262,
      0.4095,
      0.3706,
      0.4689,
      0.3612,
      0.3652,
      0.428,
      0.2504,
      0.4727,
      0.4035,
      0.3266,
      0.3279,
      0.3298,
      0.2209,
      0.3651,
      0.3486,
      0.2292,
      0.3891,
      0.4101,
      0.4168,
      0.4396,
      0.35,
      0.4021,
      0.4002,
      0.3503,
      0.2475,
      0.3569,
      0.2429,
      0.1996,
      0.2683,
      0.3196,
      0.0664,
      0.316,
      0.4036,
      0.4226,
      0.3845,
      0.2742,
      0.3082,
      0.1764,
      0.3255,
      0.1342,
      0.1933,
      0.356,
      0.007,
      0.1013,
      0.1553,
      0.0782,
      0.3185,
      0.0956,
      0,
      0.0049,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.091,
      0.2692,
      0,
      0.2726,
      0.0233,
      0.1362,
      0.0332,
      0.2955,
      0.2232,
      0.1103,
      0,
      0.0597,
      0.1551,
      0.1401,
      0.3138,
      0.2485,
      0.2251,
      0.1534,
      0.1236,
      0.3112,
      0.0033,
      0.1333,
      0.0096,
      0.035,
      0.384,
      0.1547,
      0.3724,
      0.0891,
      0.042,
      0.3593,
      0.368,
      0.3694,
      0.2869,
      0.2196,
      0.4164,
      0.4243,
      0.1669,
      0.3765,
      0.2603,
      0.1024,
      0.1253,
      0.249,
      0.2578,
      0.4602,
      0.2566,
      0.3667,
      0.1115,
      0.2143,
      0.2883,
      0.2376,
      0.2874,
      0.2286,
      0.1849,
      0.2784,
      0.3624,
      0.2664,
      0.1329,
      0.1283,
      0.2401,
      0.2405,
      0.2731,
      0.2761,
      0.29,
      0.0588,
      0.4122,
      0.4058,
      0.1932,
      0.4287,
      0.3467,
      0.24,
      0.2352,
      0.3029,
      0.1382,
      0.2431,
      0.1207,
      0.0808,
      0.1821,
      0.3542,
      0.3056,
      0.3968,
      0.2781,
      0.3966,
      0.4664,
      0.2152,
      0.3163,
      0.1854,
      0.1797,
      0.2014,
      0.188,
      0.3084,
      0.2736,
      0.372,
      0.3161,
      0.4378,
      0.2884,
      0.4517,
      0.3183,
      0.2878,
      0.2147,
      0.3109,
      0.1441,
      0.1934,
      0.108,
      0.3235,
      0.3875,
      0.2536,
      0.2417,
      0.0686,
      0.1451,
      0.3014,
      0.1969,
      0.0762,
      0.0686,
      0.382,
      0.4283,
      0.2503,
      0.3418,
      0.1691,
      0.2796,
      0.202,
      0.3096,
      0.3235,
      0.3144,
      0.2106,
      0.3463,
      0.2489,
      0.3671,
      0.3964,
      0.3296,
      0.273,
      0.3219,
      0.1747,
      0.2159,
      0.1988,
      0.1664,
      0.0165,
      0.3035,
      0.3615,
      0.2984,
      0.3163,
      0.3101,
      0.2074,
      0.2936,
      0.2159,
      0.3023,
      0.5077,
      0.4159,
      0.2654,
      0.3496,
      0.2702,
      0.3022,
      0.2289,
      0.2013,
      0.2785,
      0.2473,
      0.2792,
      0.4038,
      0.277,
      0.2567,
      0.299,
      0.4283,
      0.4746,
      0.3847,
      0.4567,
      0.3365,
      0.1242,
      0.4964,
      0.4233,
      0.3557,
      0.2922,
      0.2491,
      0.4319,
      0.4144,
      0.4672,
      0.4384,
      0.2479,
      0.2733,
      0.2942,
      0.2739,
      0.2513,
      0.228,
      0.2523,
      0.366,
      0.3029,
      0.3028,
      0.3557,
      0.3883,
      0.4214,
      0.3804,
      0.2945,
      0.4238,
      0.3426,
      0.1147,
      0.1729,
      0.4227,
      0.2819,
      0.3343,
      0.4721,
      0.4521,
      0.2321,
      0.3441,
      0.3642,
      0.3387,
      0.303,
      0.2965,
      0.3147,
      0.2469,
      0.3594,
      0.2988,
      0.3094,
      0.0664,
      0.2194,
      0.4733,
      0.3235,
      0.4154,
      0.2473,
      0.3533,
      0.3408,
      0.2607,
      0.4512,
      0.3205,
      0.4367,
      0.2972,
      0.3243,
      0.3594,
      0.4659,
      0.4828,
      0.2437,
      0.4688,
      0.308,
      0.4251,
      0.4328,
      0.4023,
      0.4281,
      0.4327,
      0.3568,
      0.4,
      0.3998,
      0.4307,
      0.4496,
      0.2825,
      0.3444,
      0.1981,
      0.4543,
      0.3937,
      0.3608,
      0.3557,
      0.3758,
      0.4176,
      0.2718,
      0.3895,
      0.3752,
      0.2401,
      0.2889,
      0.353,
      0.2104,
      0.3984,
      0.3598,
      0.1959,
      0.4059,
      0.3426,
      0.3773,
      0.4298,
      0.3167,
      0.3858,
      0.4091,
      0.3729,
      0.3605,
      0.3206,
      0.2523,
      0.2676,
      0.2584,
      0.349,
      0.0492,
      0.3127,
      0.3522,
      0.4533,
      0.3319,
      0.3991,
      0.3479,
      0.2181,
      0.2466,
      0.1293,
      0.2288,
      0.2966,
      0.0258,
      0.1157,
      0.1291,
      0.1009,
      0.2386,
      0.2001,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1035,
      0.1548,
      0,
      0.3619,
      0,
      0.1071,
      0.1599,
      0.2626,
      0.2797,
      0.0664,
      0,
      0.1706,
      0.0526,
      0.122,
      0.3535,
      0.2047,
      0.2115,
      0.1392,
      0.1509,
      0.3652,
      0,
      0.1687,
      0,
      0.0077,
      0.4317,
      0.0839,
      0.321,
      0.0891,
      0.1658,
      0.3518,
      0.2556,
      0.3142,
      0.3373,
      0.1728,
      0.3783,
      0.373,
      0.242,
      0.2561,
      0.2249,
      0.0566,
      0.2327,
      0.2273,
      0.3168,
      0.4166,
      0.2956,
      0.382,
      0.0772,
      0.2708,
      0.3098,
      0.2487,
      0.2222,
      0.225,
      0.1406,
      0.3542,
      0.267,
      0.2653,
      0.1521,
      0.1299,
      0.2162,
      0.2755,
      0.2216,
      0.2486,
      0.3046,
      0.1425,
      0.4178,
      0.4617,
      0.2577,
      0.4508,
      0.3709,
      0.2972,
      0.2844,
      0.2896,
      0.205,
      0.1697,
      0.164,
      0.0336,
      0.2665,
      0.3515,
      0.3635,
      0.369,
      0.2998,
      0.3673,
      0.5004,
      0.2577,
      0.2956,
      0.1323,
      0.3097,
      0.1251,
      0.2106,
      0.3366,
      0.3046,
      0.4125,
      0.332,
      0.4379,
      0.248,
      0.4419,
      0.3275,
      0.3382,
      0.2657,
      0.2658,
      0.1659,
      0.124,
      0.1133,
      0.3658,
      0.3349,
      0.1731,
      0.1479,
      0.0414,
      0.0958,
      0.2211,
      0.142,
      0.1076,
      0.0395,
      0.2806,
      0.3898,
      0.304,
      0.426,
      0.1418,
      0.2999,
      0.1211,
      0.3308,
      0.2897,
      0.2787,
      0.2621,
      0.3918,
      0.2705,
      0.4005,
      0.4417,
      0.3241,
      0.2988,
      0.252,
      0.2322,
      0.2378,
      0.2038,
      0.1687,
      0.1033,
      0.3127,
      0.4048,
      0.2543,
      0.3234,
      0.3765,
      0.2671,
      0.2216,
      0.2041,
      0.2099,
      0.5031,
      0.2036,
      0.3183,
      0.3358,
      0.3457,
      0.2165,
      0.3668,
      0.1772,
      0.2854,
      0.2324,
      0.1944,
      0.4243,
      0.2787,
      0.2577,
      0.3457,
      0.4343,
      0.4685,
      0.3821,
      0.4436,
      0.3757,
      0.2251,
      0.4913,
      0.4014,
      0.4017,
      0.3281,
      0.3066,
      0.3974,
      0.3949,
      0.4878,
      0.4613,
      0.3144,
      0.3511,
      0.3375,
      0.2368,
      0.2457,
      0.1902,
      0.2928,
      0.3543,
      0.1906,
      0.2738,
      0.2798,
      0.388,
      0.3842,
      0.4721,
      0.2896,
      0.3619,
      0.3867,
      0.2339,
      0.1986,
      0.4981,
      0.2714,
      0.338,
      0.4613,
      0.332,
      0.2455,
      0.3623,
      0.4342,
      0.4019,
      0.3144,
      0.3352,
      0.3356,
      0.2493,
      0.339,
      0.343,
      0.2724,
      0.1093,
      0.3058,
      0.4964,
      0.2749,
      0.259,
      0.2852,
      0.3509,
      0.2843,
      0.2989,
      0.4446,
      0.2968,
      0.4249,
      0.2814,
      0.3442,
      0.3509,
      0.3972,
      0.3829,
      0.3023,
      0.4923,
      0.2766,
      0.3048,
      0.4333,
      0.3637,
      0.4648,
      0.4697,
      0.4102,
      0.3774,
      0.4312,
      0.4615,
      0.5239,
      0.3664,
      0.3326,
      0.2397,
      0.4944,
      0.3605,
      0.2523,
      0.3468,
      0.2598,
      0.3682,
      0.3234,
      0.4919,
      0.4131,
      0.1709,
      0.2611,
      0.3272,
      0.2111,
      0.4116,
      0.3057,
      0.12,
      0.422,
      0.2667,
      0.2939,
      0.4472,
      0.378,
      0.407,
      0.4266,
      0.341,
      0.3795,
      0.2769,
      0.3209,
      0.2297,
      0.174,
      0.3133,
      0.1437,
      0.3511,
      0.3584,
      0.4416,
      0.421,
      0.3974,
      0.4143,
      0.3089,
      0.209,
      0.0995,
      0.2109,
      0.341,
      0.1428,
      0.1672,
      0.1896,
      0.1261,
      0.1851,
      0.0951,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0733,
      0.2896,
      0,
      0.2184,
      0.0611,
      0.0794,
      0.1243,
      0.2483,
      0.2234,
      0.1078,
      0,
      0.1506,
      0.0794,
      0.2237,
      0.3534,
      0.1752,
      0.1875,
      0.1547,
      0.1962,
      0.323,
      0,
      0.2496,
      0,
      0,
      0.2751,
      0.0975,
      0.3973,
      0.1091,
      0.1712,
      0.3257,
      0.2943,
      0.2836,
      0.2615,
      0.194,
      0.4101,
      0.3125,
      0.2792,
      0.3639,
      0.2634,
      0,
      0.252,
      0.2528,
      0.3155,
      0.3941,
      0.2333,
      0.3665,
      0.1186,
      0.2142,
      0.2441,
      0.3383,
      0.285,
      0.1897,
      0.1401,
      0.3046,
      0.3564,
      0.2899,
      0.1469,
      0.1105,
      0.1258,
      0.3529,
      0.2663,
      0.2763,
      0.3704,
      0.1756,
      0.4053,
      0.4714,
      0.2253,
      0.408,
      0.2621,
      0.2426,
      0.3065,
      0.2277,
      0.279,
      0.2906,
      0.2215,
      0.1349,
      0.2644,
      0.4423,
      0.3585,
      0.3353,
      0.3009,
      0.5355,
      0.5131,
      0.25,
      0.3244,
      0.1916,
      0.366,
      0.3205,
      0.2053,
      0.3287,
      0.3513,
      0.3402,
      0.2848,
      0.4891,
      0.3078,
      0.3826,
      0.3218,
      0.2838,
      0.3153,
      0.2286,
      0.1336,
      0.0983,
      0.1033,
      0.4588,
      0.3375,
      0.1261,
      0.1278,
      0.1655,
      0.0487,
      0.2273,
      0.2006,
      0.0813,
      0.0064,
      0.3144,
      0.4181,
      0.3053,
      0.4684,
      0.1909,
      0.2186,
      0.1222,
      0.2841,
      0.234,
      0.3768,
      0.326,
      0.4067,
      0.2875,
      0.4184,
      0.377,
      0.2798,
      0.3265,
      0.2853,
      0.2227,
      0.2848,
      0.241,
      0.2,
      0.0475,
      0.277,
      0.4177,
      0.3588,
      0.3986,
      0.5385,
      0.275,
      0.2858,
      0.1642,
      0.204,
      0.4216,
      0.1844,
      0.3579,
      0.2553,
      0.3822,
      0.3618,
      0.3738,
      0.3109,
      0.29,
      0.2977,
      0.3034,
      0.2908,
      0.2808,
      0.2982,
      0.3604,
      0.4141,
      0.4078,
      0.3845,
      0.4266,
      0.3462,
      0.212,
      0.4261,
      0.4654,
      0.415,
      0.3175,
      0.2885,
      0.4281,
      0.3328,
      0.4366,
      0.4014,
      0.3827,
      0.353,
      0.3152,
      0.2693,
      0.2835,
      0.2942,
      0.3467,
      0.4245,
      0.2128,
      0.2735,
      0.3106,
      0.3629,
      0.4464,
      0.3809,
      0.2148,
      0.3653,
      0.3419,
      0.2452,
      0.2426,
      0.2623,
      0.2439,
      0.3261,
      0.3844,
      0.2485,
      0.2881,
      0.4053,
      0.4019,
      0.4079,
      0.2641,
      0.3699,
      0.2624,
      0.2748,
      0.347,
      0.3842,
      0.3128,
      0.1127,
      0.4105,
      0.4887,
      0.2614,
      0.3135,
      0.3054,
      0.3164,
      0.266,
      0.3216,
      0.4499,
      0.3611,
      0.3969,
      0.4157,
      0.3197,
      0.4249,
      0.4602,
      0.4783,
      0.3065,
      0.5249,
      0.2734,
      0.4062,
      0.5438,
      0.4464,
      0.5284,
      0.3713,
      0.354,
      0.3847,
      0.4139,
      0.4534,
      0.4868,
      0.4088,
      0.4138,
      0.2404,
      0.4772,
      0.398,
      0.3134,
      0.2888,
      0.3109,
      0.2657,
      0.3103,
      0.4885,
      0.3488,
      0.2829,
      0.3071,
      0.2933,
      0.1896,
      0.3422,
      0.3431,
      0.3121,
      0.3809,
      0.3481,
      0.3627,
      0.4381,
      0.4687,
      0.4064,
      0.4281,
      0.3898,
      0.3839,
      0.3793,
      0.3529,
      0.3472,
      0.3579,
      0.3551,
      0.1331,
      0.2857,
      0.372,
      0.4462,
      0.3756,
      0.4225,
      0.4034,
      0.3224,
      0.2795,
      0.1095,
      0.2176,
      0.2216,
      0.1019,
      0.0807,
      0.1815,
      0.1515,
      0.1769,
      0.0904,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.031,
      0.2745,
      0,
      0.2639,
      0,
      0.093,
      0.1485,
      0.2551,
      0.276,
      0.063,
      0,
      0.1354,
      0.148,
      0.1681,
      0.4558,
      0.1565,
      0.1156,
      0.1377,
      0.1909,
      0.2362,
      0,
      0.1759,
      0,
      0,
      0.3386,
      0.0097,
      0.3941,
      0.0966,
      0.2318,
      0.3041,
      0.2607,
      0.2487,
      0.2534,
      0.2451,
      0.3449,
      0.357,
      0.3199,
      0.3845,
      0.3587,
      0.0909,
      0.2551,
      0.2552,
      0.3554,
      0.4051,
      0.2227,
      0.2913,
      0.114,
      0.1894,
      0.3594,
      0.3602,
      0.3503,
      0.139,
      0.2172,
      0.3342,
      0.3546,
      0.3132,
      0.0971,
      0.1804,
      0.1256,
      0.4195,
      0.2691,
      0.3307,
      0.4353,
      0.1633,
      0.3247,
      0.4761,
      0.3282,
      0.4031,
      0.4282,
      0.2149,
      0.252,
      0.2365,
      0.2212,
      0.3702,
      0.0921,
      0.0868,
      0.3217,
      0.4245,
      0.3052,
      0.3225,
      0.2965,
      0.3864,
      0.4447,
      0.2409,
      0.3788,
      0.3084,
      0.3889,
      0.2166,
      0.2212,
      0.3349,
      0.3334,
      0.4387,
      0.3396,
      0.471,
      0.3214,
      0.4201,
      0.3854,
      0.2527,
      0.3024,
      0.2238,
      0.2004,
      0.1851,
      0.0885,
      0.4258,
      0.3636,
      0.1688,
      0.107,
      0.1767,
      0.154,
      0.217,
      0.1323,
      0.0485,
      0,
      0.4196,
      0.4492,
      0.3045,
      0.4128,
      0.2519,
      0.2479,
      0.1483,
      0.3103,
      0.172,
      0.3795,
      0.3041,
      0.4316,
      0.1941,
      0.424,
      0.4233,
      0.3582,
      0.3981,
      0.2548,
      0.2617,
      0.2895,
      0.1999,
      0.2227,
      0.1244,
      0.3219,
      0.438,
      0.2912,
      0.2851,
      0.5345,
      0.3562,
      0.2434,
      0.2341,
      0.2744,
      0.4594,
      0.2225,
      0.3058,
      0.3658,
      0.3872,
      0.3846,
      0.2885,
      0.227,
      0.3453,
      0.3088,
      0.3674,
      0.355,
      0.3371,
      0.3402,
      0.4142,
      0.388,
      0.3639,
      0.265,
      0.4472,
      0.4008,
      0.2082,
      0.4677,
      0.4812,
      0.3922,
      0.208,
      0.3757,
      0.4814,
      0.369,
      0.5141,
      0.4275,
      0.4484,
      0.3055,
      0.3263,
      0.316,
      0.3814,
      0.3086,
      0.3917,
      0.3811,
      0.2846,
      0.1724,
      0.3024,
      0.2289,
      0.4466,
      0.3883,
      0.2099,
      0.4129,
      0.4969,
      0.2186,
      0.1792,
      0.2563,
      0.2718,
      0.3565,
      0.3628,
      0.2765,
      0.2404,
      0.3736,
      0.3659,
      0.3943,
      0.3302,
      0.3866,
      0.3361,
      0.2895,
      0.4302,
      0.4327,
      0.3282,
      0.1031,
      0.3771,
      0.4749,
      0.2317,
      0.3347,
      0.3371,
      0.2718,
      0.2609,
      0.2945,
      0.4419,
      0.4635,
      0.4078,
      0.4528,
      0.4208,
      0.4103,
      0.4522,
      0.4382,
      0.2998,
      0.5536,
      0.3926,
      0.4434,
      0.5731,
      0.4831,
      0.4907,
      0.4877,
      0.3892,
      0.3867,
      0.3897,
      0.4769,
      0.4577,
      0.3916,
      0.3401,
      0.2625,
      0.45,
      0.3348,
      0.2792,
      0.2424,
      0.3397,
      0.4569,
      0.2606,
      0.4057,
      0.3741,
      0.3591,
      0.3562,
      0.364,
      0.249,
      0.3504,
      0.3143,
      0.2451,
      0.3498,
      0.3614,
      0.4367,
      0.4972,
      0.4548,
      0.4724,
      0.3945,
      0.2887,
      0.4359,
      0.3301,
      0.2523,
      0.2703,
      0.2904,
      0.4296,
      0.1126,
      0.2546,
      0.4133,
      0.4604,
      0.4478,
      0.4299,
      0.3538,
      0.3507,
      0.2853,
      0.1223,
      0.2064,
      0.2791,
      0.1121,
      0.0958,
      0.1959,
      0.165,
      0.1806,
      0.0892,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0469,
      0.2435,
      0,
      0.2657,
      0.059,
      0.0968,
      0.1271,
      0.258,
      0.2723,
      0.0881,
      0,
      0.1747,
      0.2277,
      0.1299,
      0.4376,
      0.1851,
      0.138,
      0.1344,
      0.2476,
      0.3031,
      0,
      0.1165,
      0,
      0,
      0.3617,
      0.0727,
      0.3299,
      0.1034,
      0.122,
      0.2785,
      0.2862,
      0.279,
      0.3409,
      0.1933,
      0.3244,
      0.3545,
      0.213,
      0.3257,
      0.29,
      0.2086,
      0.2119,
      0.1865,
      0.3789,
      0.3837,
      0.2553,
      0.3058,
      0.1356,
      0.1999,
      0.4445,
      0.3316,
      0.3415,
      0.1685,
      0.1475,
      0.3091,
      0.3308,
      0.3319,
      0.0834,
      0.1254,
      0.2014,
      0.4069,
      0.2913,
      0.4203,
      0.4248,
      0.1997,
      0.3609,
      0.4704,
      0.3388,
      0.4272,
      0.3699,
      0.2068,
      0.2662,
      0.2315,
      0.2544,
      0.2204,
      0.0947,
      0.1408,
      0.4239,
      0.3901,
      0.3361,
      0.3613,
      0.3282,
      0.3462,
      0.4679,
      0.1921,
      0.3207,
      0.18,
      0.3738,
      0.1895,
      0.251,
      0.3365,
      0.2828,
      0.4538,
      0.3181,
      0.4506,
      0.3472,
      0.408,
      0.3776,
      0.3181,
      0.2554,
      0.272,
      0.1007,
      0.4776,
      0.049,
      0.3254,
      0.3885,
      0.1861,
      0.1019,
      0.1082,
      0.1608,
      0.2387,
      0.2119,
      0.0631,
      0,
      0.387,
      0.4469,
      0.2942,
      0.4001,
      0.2168,
      0.2336,
      0.1437,
      0.2206,
      0.269,
      0.2653,
      0.2776,
      0.3341,
      0.2828,
      0.5216,
      0.4406,
      0.3288,
      0.4216,
      0.3162,
      0.167,
      0.2643,
      0.2087,
      0.1567,
      0.0858,
      0.2901,
      0.4359,
      0.2397,
      0.3183,
      0.3721,
      0.5449,
      0.2507,
      0.2298,
      0.1799,
      0.4456,
      0.1735,
      0.3406,
      0.4407,
      0.3428,
      0.3019,
      0.2865,
      0.2258,
      0.0986,
      0.3479,
      0.362,
      0.3733,
      0.3014,
      0.2931,
      0.4363,
      0.3551,
      0.3391,
      0.3915,
      0.368,
      0.4069,
      0.2837,
      0.5438,
      0.4358,
      0.4808,
      0.2846,
      0.3873,
      0.3897,
      0.3267,
      0.3598,
      0.3996,
      0.3757,
      0.3418,
      0.2922,
      0.2337,
      0.2666,
      0.2178,
      0.3347,
      0.3885,
      0.3164,
      0.2916,
      0.3155,
      0.3524,
      0.5006,
      0.3825,
      0.2823,
      0.4361,
      0.5276,
      0.171,
      0.235,
      0.2521,
      0.2934,
      0.2837,
      0.385,
      0.1536,
      0.3505,
      0.3806,
      0.3702,
      0.4006,
      0.3278,
      0.3241,
      0.3471,
      0.2825,
      0.4435,
      0.3724,
      0.3934,
      0.141,
      0.3804,
      0.4374,
      0.2964,
      0.2826,
      0.452,
      0.3334,
      0.2281,
      0.3996,
      0.4014,
      0.3009,
      0.3217,
      0.3945,
      0.3502,
      0.3743,
      0.491,
      0.4665,
      0.3048,
      0.5182,
      0.3976,
      0.39,
      0.5125,
      0.4761,
      0.3623,
      0.4088,
      0.3345,
      0.3624,
      0.4127,
      0.4631,
      0.4434,
      0.312,
      0.3194,
      0.2619,
      0.4464,
      0.3448,
      0.3643,
      0.2893,
      0.365,
      0.4829,
      0.1915,
      0.4306,
      0.3319,
      0.3237,
      0.3513,
      0.3089,
      0.2725,
      0.3024,
      0.335,
      0.1999,
      0.4059,
      0.3733,
      0.3082,
      0.4911,
      0.3892,
      0.3678,
      0.4053,
      0.3576,
      0.3815,
      0.3055,
      0.2105,
      0.2637,
      0.2394,
      0.395,
      0.1068,
      0.4348,
      0.3803,
      0.3996,
      0.4851,
      0.5505,
      0.3879,
      0.2203,
      0.3433,
      0.127,
      0.1515,
      0.1772,
      0.1199,
      0.0609,
      0.2171,
      0.1534,
      0.1611,
      0.093,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0542,
      0.2024,
      0,
      0.2418,
      0.0774,
      0.0867,
      0.0635,
      0.2522,
      0.2801,
      0.1144,
      0,
      0.1244,
      0.4091,
      0.0508,
      0.4321,
      0.0997,
      0.1955,
      0.1142,
      0.1999,
      0.3036,
      0,
      0.1051,
      0,
      0,
      0.2674,
      0.1135,
      0.2835,
      0.1275,
      0.1132,
      0.3005,
      0.3047,
      0.2663,
      0.2396,
      0.1948,
      0.3138,
      0.3549,
      0.2272,
      0.3568,
      0.159,
      0.1682,
      0.2361,
      0.2284,
      0.3379,
      0.4106,
      0.2591,
      0.3458,
      0.0478,
      0.2319,
      0.3299,
      0.2197,
      0.2269,
      0.2924,
      0.1378,
      0.3491,
      0.349,
      0.232,
      0.1093,
      0.0741,
      0.225,
      0.3518,
      0.2753,
      0.3862,
      0.4319,
      0.1541,
      0.3959,
      0.4485,
      0.4881,
      0.3625,
      0.3691,
      0.2485,
      0.2455,
      0.2986,
      0.2789,
      0.3442,
      0.2043,
      0.1732,
      0.396,
      0.4793,
      0.3637,
      0.4177,
      0.3179,
      0.4164,
      0.494,
      0.2735,
      0.2992,
      0.2543,
      0.2962,
      0.1749,
      0.1597,
      0.356,
      0.3208,
      0.4777,
      0.3224,
      0.3542,
      0.2989,
      0.3636,
      0.3478,
      0.3397,
      0.3276,
      0.2542,
      0.1316,
      0.3349,
      0.0847,
      0.3665,
      0.382,
      0.2237,
      0.1589,
      0.1149,
      0.0936,
      0.2315,
      0.2203,
      0.2888,
      0,
      0.3242,
      0.403,
      0.2637,
      0.45,
      0.226,
      0.2804,
      0.1235,
      0.2625,
      0.1771,
      0.3832,
      0.2314,
      0.2598,
      0.1423,
      0.4298,
      0.4266,
      0.3211,
      0.4067,
      0.2292,
      0.3774,
      0.2689,
      0.2381,
      0.1836,
      0.2136,
      0.2822,
      0.4106,
      0.3477,
      0.3542,
      0.3759,
      0.6079,
      0.2447,
      0.252,
      0.2089,
      0.4459,
      0.1748,
      0.3844,
      0.3854,
      0.4081,
      0.3526,
      0.2077,
      0.2762,
      0.3119,
      0.3185,
      0.2419,
      0.403,
      0.3337,
      0.3217,
      0.3426,
      0.3572,
      0.3704,
      0.3625,
      0.442,
      0.445,
      0.2074,
      0.4988,
      0.4315,
      0.5207,
      0.2408,
      0.3637,
      0.3851,
      0.3549,
      0.4332,
      0.4237,
      0.3347,
      0.3662,
      0.2993,
      0.3716,
      0.1724,
      0.2588,
      0.2807,
      0.3522,
      0.2987,
      0.2883,
      0.3396,
      0.374,
      0.4718,
      0.4143,
      0.3138,
      0.3423,
      0.4956,
      0.3207,
      0.2814,
      0.3011,
      0.2507,
      0.275,
      0.4594,
      0.1952,
      0.364,
      0.2974,
      0.3754,
      0.3645,
      0.297,
      0.349,
      0.3253,
      0.2013,
      0.3543,
      0.2684,
      0.3218,
      0.2603,
      0.2755,
      0.4593,
      0.2863,
      0.342,
      0.3328,
      0.3274,
      0.3662,
      0.4045,
      0.3593,
      0.335,
      0.3489,
      0.3426,
      0.2756,
      0.318,
      0.451,
      0.4127,
      0.3181,
      0.5278,
      0.2412,
      0.3518,
      0.4507,
      0.4071,
      0.3893,
      0.3546,
      0.3794,
      0.3546,
      0.5009,
      0.4603,
      0.4682,
      0.3985,
      0.3647,
      0.3953,
      0.4288,
      0.4081,
      0.3384,
      0.392,
      0.4416,
      0.4277,
      0.3165,
      0.4888,
      0.3767,
      0.3808,
      0.3899,
      0.3515,
      0.3205,
      0.3972,
      0.328,
      0.2942,
      0.3571,
      0.4198,
      0.4003,
      0.4623,
      0.3794,
      0.4532,
      0.4568,
      0.3754,
      0.4518,
      0.4139,
      0.2504,
      0.3057,
      0.3189,
      0.3693,
      0.1691,
      0.5714,
      0.3644,
      0.3805,
      0.3948,
      0.4053,
      0.3721,
      0.2582,
      0.3341,
      0.1273,
      0.112,
      0.3027,
      0.0714,
      0.1392,
      0.2223,
      0.1665,
      0.1256,
      0.0894,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1006,
      0.0953,
      0,
      0.2435,
      0.1302,
      0.0744,
      0.1053,
      0.2039,
      0.2722,
      0.1058,
      0,
      0.1115,
      0.2429,
      0.129,
      0.3772,
      0.1431,
      0.258,
      0.1437,
      0.1353,
      0.3082,
      0,
      0.152,
      0,
      0,
      0.2995,
      0.1288,
      0.2673,
      0.0753,
      0.0636,
      0.297,
      0.355,
      0.3349,
      0.3324,
      0.2085,
      0.3759,
      0.3523,
      0.2172,
      0.2,
      0.1608,
      0.1392,
      0.3331,
      0.1746,
      0.3232,
      0.3616,
      0.2659,
      0.4047,
      0.0959,
      0.2265,
      0.2866,
      0.2735,
      0.201,
      0.1393,
      0.1398,
      0.2881,
      0.2825,
      0.2166,
      0.1408,
      0.0607,
      0.2656,
      0.2667,
      0.306,
      0.2765,
      0.4274,
      0.1283,
      0.394,
      0.3826,
      0.2751,
      0.4344,
      0.324,
      0.1187,
      0.1912,
      0.2716,
      0.1812,
      0.32,
      0.094,
      0.1599,
      0.2585,
      0.4035,
      0.3434,
      0.3955,
      0.2526,
      0.4392,
      0.512,
      0.2369,
      0.3525,
      0.1341,
      0.2563,
      0.1155,
      0.1997,
      0.3511,
      0.2999,
      0.4316,
      0.3643,
      0.4204,
      0.298,
      0.3877,
      0.3887,
      0.256,
      0.3067,
      0.2145,
      0.1614,
      0.157,
      0.1041,
      0.3391,
      0.373,
      0.213,
      0.142,
      0.0375,
      0.065,
      0.2573,
      0.2257,
      0.1671,
      0.0142,
      0.3329,
      0.4086,
      0.2819,
      0.4777,
      0.1339,
      0.2094,
      0.1394,
      0.3085,
      0.2462,
      0.287,
      0.1698,
      0.2556,
      0.2499,
      0.3496,
      0.3782,
      0.4289,
      0.2846,
      0.1958,
      0.2645,
      0.2736,
      0.2064,
      0.1983,
      0.0561,
      0.2548,
      0.443,
      0.3118,
      0.2721,
      0.1995,
      0.5281,
      0.2468,
      0.2512,
      0.2655,
      0.4148,
      0.1828,
      0.2902,
      0.3879,
      0.3789,
      0.3447,
      0.3638,
      0.2022,
      0.2656,
      0.3048,
      0.2408,
      0.3944,
      0.3066,
      0.3071,
      0.3816,
      0.4319,
      0.3986,
      0.4331,
      0.3796,
      0.4172,
      0.1272,
      0.4977,
      0.4348,
      0.2538,
      0.2312,
      0.3801,
      0.4135,
      0.2806,
      0.4453,
      0.4098,
      0.2546,
      0.2568,
      0.229,
      0.2407,
      0.2248,
      0.1822,
      0.1917,
      0.3881,
      0.154,
      0.3065,
      0.3478,
      0.4114,
      0.508,
      0.4368,
      0.3872,
      0.3148,
      0.4341,
      0.2427,
      0.1688,
      0.293,
      0.2524,
      0.285,
      0.3311,
      0.3902,
      0.3743,
      0.269,
      0.3763,
      0.3166,
      0.3042,
      0.3246,
      0.3656,
      0.3003,
      0.4628,
      0.331,
      0.2789,
      0.0469,
      0.2712,
      0.4853,
      0.252,
      0.4023,
      0.2793,
      0.308,
      0.3462,
      0.338,
      0.3183,
      0.2234,
      0.35,
      0.3268,
      0.2651,
      0.3544,
      0.5227,
      0.4249,
      0.2751,
      0.4344,
      0.2638,
      0.2882,
      0.4106,
      0.3448,
      0.3082,
      0.3919,
      0.3314,
      0.4241,
      0.4525,
      0.4688,
      0.4518,
      0.3795,
      0.3981,
      0.3898,
      0.4461,
      0.4223,
      0.2934,
      0.4029,
      0.4361,
      0.3855,
      0.3663,
      0.4467,
      0.3352,
      0.3782,
      0.3186,
      0.3512,
      0.2238,
      0.3929,
      0.3147,
      0.2551,
      0.3514,
      0.3811,
      0.4308,
      0.4359,
      0.3328,
      0.3717,
      0.4524,
      0.4101,
      0.3406,
      0.4094,
      0.2006,
      0.2015,
      0.1927,
      0.2819,
      0.1302,
      0.3764,
      0.3722,
      0.3977,
      0.4714,
      0.3292,
      0.3602,
      0.256,
      0.3219,
      0.0839,
      0.154,
      0.2265,
      0.0734,
      0.1542,
      0.1775,
      0.173,
      0.2028,
      0.0575,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0888,
      0.2145,
      0,
      0.2692,
      0.1019,
      0.0713,
      0.1019,
      0.2004,
      0.196,
      0.0951,
      0,
      0,
      0.1829,
      0.2016,
      0.3135,
      0.1582,
      0.3645,
      0.2079,
      0.1059,
      0.3086,
      0,
      0.158,
      0,
      0.0142,
      0.3376,
      0.0983,
      0.3844,
      0.0684,
      0.163,
      0.3071,
      0.3208,
      0.2892,
      0.2797,
      0.2727,
      0.3281,
      0.4281,
      0.2808,
      0.2803,
      0.2343,
      0.153,
      0.2637,
      0.2199,
      0.3598,
      0.4248,
      0.262,
      0.3305,
      0.1114,
      0.2434,
      0.2321,
      0.2849,
      0.1406,
      0.1483,
      0.2136,
      0.2333,
      0.3239,
      0.2036,
      0.121,
      0.0707,
      0.2449,
      0.2311,
      0.3906,
      0.2359,
      0.3727,
      0.0056,
      0.3923,
      0.3926,
      0.2688,
      0.4258,
      0.3581,
      0.0989,
      0.2415,
      0.2507,
      0.2027,
      0.3126,
      0.0969,
      0.11,
      0.2745,
      0.4045,
      0.3737,
      0.3984,
      0.2389,
      0.3012,
      0.546,
      0.1879,
      0.3834,
      0.1452,
      0.2886,
      0.2246,
      0.2338,
      0.3436,
      0.1723,
      0.4119,
      0.3556,
      0.4652,
      0.312,
      0.3184,
      0.3908,
      0.2224,
      0.1639,
      0.2976,
      0.1439,
      0.1978,
      0.1106,
      0.288,
      0.3718,
      0.2269,
      0.1127,
      0.0991,
      0.0986,
      0.2878,
      0.2061,
      0.0716,
      0.0074,
      0.3258,
      0.4466,
      0.2632,
      0.3333,
      0.1735,
      0.2153,
      0.1285,
      0.23,
      0.2173,
      0.1928,
      0.2639,
      0.2071,
      0.1732,
      0.3814,
      0.3404,
      0.4673,
      0.2852,
      0.2179,
      0.2619,
      0.3055,
      0.2057,
      0.1762,
      0.1738,
      0.2959,
      0.3729,
      0.3509,
      0.3922,
      0.311,
      0.3582,
      0.2371,
      0.2414,
      0.1009,
      0.4493,
      0.1587,
      0.1471,
      0.3959,
      0.2784,
      0.308,
      0.3552,
      0.2412,
      0.2579,
      0.2756,
      0.2349,
      0.349,
      0.3478,
      0.3546,
      0.3689,
      0.3637,
      0.3434,
      0.3615,
      0.3946,
      0.2829,
      0.1792,
      0.5058,
      0.4555,
      0.3224,
      0.2542,
      0.4765,
      0.3837,
      0.364,
      0.4628,
      0.4632,
      0.2102,
      0.276,
      0.2787,
      0.2394,
      0.1237,
      0.242,
      0.1533,
      0.3751,
      0.2106,
      0.1765,
      0.342,
      0.4177,
      0.451,
      0.4167,
      0.3709,
      0.283,
      0.4029,
      0.1975,
      0.2379,
      0.2636,
      0.2406,
      0.2733,
      0.4041,
      0.4816,
      0.239,
      0.3452,
      0.3393,
      0.3529,
      0.1799,
      0.3154,
      0.3311,
      0.3399,
      0.4213,
      0.3681,
      0.2717,
      0.074,
      0.2975,
      0.4767,
      0.2612,
      0.3246,
      0.2742,
      0.3665,
      0.3429,
      0.3045,
      0.2322,
      0.2761,
      0.3173,
      0.2132,
      0.293,
      0.3147,
      0.5098,
      0.451,
      0.2922,
      0.4877,
      0.3135,
      0.2978,
      0.4195,
      0.3,
      0.3616,
      0.4191,
      0.3522,
      0.423,
      0.369,
      0.4566,
      0.4389,
      0.3398,
      0.3765,
      0.3894,
      0.4272,
      0.3499,
      0.3301,
      0.3952,
      0.3671,
      0.3931,
      0.5267,
      0.4712,
      0.3072,
      0.3078,
      0.2005,
      0.2691,
      0.1603,
      0.378,
      0.3875,
      0.2032,
      0.377,
      0.4063,
      0.3562,
      0.4089,
      0.3946,
      0.4785,
      0.4481,
      0.4057,
      0.3612,
      0.2149,
      0.1826,
      0.2082,
      0.2095,
      0.2916,
      0.1574,
      0.3322,
      0.2885,
      0.4075,
      0.5298,
      0.3292,
      0.3459,
      0.234,
      0.2261,
      0.1471,
      0.1714,
      0.3112,
      0,
      0.0288,
      0.1354,
      0.1024,
      0.1938,
      0.058,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1103,
      0.178,
      0.0037,
      0.2454,
      0.1468,
      0.1211,
      0.062,
      0.2097,
      0.2261,
      0.0387,
      0,
      0.1182,
      0.2028,
      0.2813,
      0.3395,
      0.1468,
      0.2357,
      0.1652,
      0.1276,
      0.3192,
      0,
      0.2968,
      0,
      0,
      0.3606,
      0.0489,
      0.3066,
      0.0243,
      0.132,
      0.2931,
      0.2671,
      0.2268,
      0.1892,
      0.2739,
      0.4104,
      0.3612,
      0.2217,
      0.3317,
      0.1883,
      0.1369,
      0.1988,
      0.1744,
      0.244,
      0.3889,
      0.2293,
      0.2891,
      0.0857,
      0.2049,
      0.2475,
      0.3992,
      0.2577,
      0.2344,
      0.2236,
      0.3229,
      0.4006,
      0.1972,
      0.1059,
      0.115,
      0.2355,
      0.3057,
      0.3342,
      0.2553,
      0.3772,
      0.0682,
      0.396,
      0.4419,
      0.1467,
      0.3593,
      0.3546,
      0.0622,
      0.2368,
      0.2296,
      0.2155,
      0.2802,
      0.1111,
      0.0593,
      0.3249,
      0.3393,
      0.3786,
      0.3334,
      0.2738,
      0.3424,
      0.4205,
      0.2096,
      0.3297,
      0.1412,
      0.3415,
      0.2077,
      0.272,
      0.2671,
      0.1958,
      0.3952,
      0.3813,
      0.4585,
      0.2753,
      0.2663,
      0.2872,
      0.1867,
      0.2347,
      0.2645,
      0.0661,
      0.1737,
      0.1601,
      0.3779,
      0.3215,
      0.2046,
      0.1237,
      0.1335,
      0.072,
      0.2673,
      0.2359,
      0.1099,
      0.0334,
      0.3765,
      0.4127,
      0.3144,
      0.4066,
      0.2636,
      0.2087,
      0.1636,
      0.2523,
      0.2599,
      0.3745,
      0.1872,
      0.2421,
      0.1944,
      0.2949,
      0.4208,
      0.3814,
      0.1865,
      0.3116,
      0.1815,
      0.2982,
      0.1166,
      0.1025,
      0.0447,
      0.2806,
      0.4232,
      0.3643,
      0.3502,
      0.1997,
      0.2873,
      0.1974,
      0.1891,
      0.1497,
      0.4437,
      0.1653,
      0.3396,
      0.3776,
      0.2258,
      0.2475,
      0.3299,
      0.1915,
      0.3957,
      0.2097,
      0.3042,
      0.3548,
      0.3213,
      0.2459,
      0.3579,
      0.4092,
      0.3254,
      0.3076,
      0.387,
      0.2967,
      0.1466,
      0.4997,
      0.4696,
      0.2754,
      0.309,
      0.5125,
      0.3984,
      0.3996,
      0.4633,
      0.4295,
      0.2419,
      0.3903,
      0.261,
      0.2012,
      0.1288,
      0.1743,
      0.1676,
      0.3893,
      0.1926,
      0.2047,
      0.3191,
      0.3778,
      0.414,
      0.3775,
      0.361,
      0.3707,
      0.3884,
      0.1803,
      0.1781,
      0.3104,
      0.2161,
      0.2129,
      0.382,
      0.3571,
      0.1704,
      0.3799,
      0.2924,
      0.3062,
      0.195,
      0.2709,
      0.3411,
      0.31,
      0.438,
      0.396,
      0.2729,
      0.0841,
      0.2212,
      0.4852,
      0.2587,
      0.2667,
      0.3408,
      0.3699,
      0.3441,
      0.2164,
      0.3148,
      0.261,
      0.367,
      0.2976,
      0.375,
      0.4108,
      0.4564,
      0.3864,
      0.3146,
      0.4502,
      0.3515,
      0.3075,
      0.4897,
      0.4497,
      0.4208,
      0.4943,
      0.3228,
      0.4552,
      0.3394,
      0.446,
      0.4544,
      0.2732,
      0.3615,
      0.3275,
      0.4533,
      0.3998,
      0.4078,
      0.4335,
      0.3197,
      0.2332,
      0.4513,
      0.4723,
      0.3384,
      0.3184,
      0.2157,
      0.2734,
      0.2012,
      0.2774,
      0.3589,
      0.2151,
      0.3805,
      0.2509,
      0.3762,
      0.3985,
      0.5011,
      0.4236,
      0.423,
      0.3603,
      0.3014,
      0.3041,
      0.255,
      0.2059,
      0.2676,
      0.2406,
      0.0973,
      0.3109,
      0.2631,
      0.4515,
      0.4161,
      0.3118,
      0.4106,
      0.2405,
      0.2704,
      0.099,
      0.189,
      0.2546,
      0.0086,
      0.0158,
      0.0725,
      0.1498,
      0.1609,
      0.214,
      0,
      0.0492,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0755,
      0.2276,
      0,
      0.2126,
      0.1305,
      0.0935,
      0.0794,
      0.292,
      0.2781,
      0.0146,
      0,
      0.0504,
      0.2504,
      0.3007,
      0.375,
      0.1897,
      0.2245,
      0.0922,
      0.0311,
      0.3652,
      0.0224,
      0.2063,
      0,
      0,
      0.3709,
      0.0933,
      0.3716,
      0.076,
      0.153,
      0.3221,
      0.3407,
      0.2815,
      0.3323,
      0.2059,
      0.2881,
      0.344,
      0.2986,
      0.3781,
      0.1915,
      0.153,
      0.2207,
      0.1942,
      0.3723,
      0.4353,
      0.2318,
      0.2966,
      0.106,
      0.2932,
      0.2292,
      0.3427,
      0.3003,
      0.3022,
      0.2336,
      0.3731,
      0.3511,
      0.3079,
      0.1037,
      0.1187,
      0.2681,
      0.3526,
      0.3712,
      0.277,
      0.4001,
      0.1533,
      0.3813,
      0.5038,
      0.2689,
      0.4248,
      0.3174,
      0.0735,
      0.2508,
      0.2133,
      0.1879,
      0.2126,
      0.1261,
      0.1547,
      0.3457,
      0.4604,
      0.3266,
      0.3512,
      0.2314,
      0.3675,
      0.3559,
      0.1801,
      0.3618,
      0.3028,
      0.351,
      0.2234,
      0.2756,
      0.2391,
      0.2497,
      0.4616,
      0.371,
      0.4774,
      0.2233,
      0.2934,
      0.3539,
      0.2552,
      0.2887,
      0.2452,
      0.0244,
      0.1674,
      0.1561,
      0.3425,
      0.3883,
      0.1093,
      0.1688,
      0.1051,
      0.1028,
      0.1597,
      0.1975,
      0.0609,
      0,
      0.3169,
      0.3857,
      0.2315,
      0.4673,
      0.1773,
      0.2695,
      0.1384,
      0.275,
      0.2739,
      0.3548,
      0.3553,
      0.2554,
      0.2902,
      0.408,
      0.4181,
      0.3429,
      0.3612,
      0.3176,
      0.2589,
      0.2094,
      0.2019,
      0.1563,
      0.0181,
      0.2703,
      0.4467,
      0.3975,
      0.3244,
      0.2602,
      0.2698,
      0.2589,
      0.1638,
      0.1914,
      0.4279,
      0.1817,
      0.3649,
      0.3314,
      0.3327,
      0.2171,
      0.2218,
      0.2512,
      0.3271,
      0.1946,
      0.3735,
      0.2767,
      0.3214,
      0.3267,
      0.4423,
      0.478,
      0.4786,
      0.4019,
      0.3971,
      0.3239,
      0.2086,
      0.5116,
      0.4455,
      0.2979,
      0.2373,
      0.5043,
      0.3909,
      0.3949,
      0.3781,
      0.4172,
      0.1713,
      0.3692,
      0.1686,
      0.2937,
      0.0555,
      0.2026,
      0.1942,
      0.4224,
      0.1504,
      0.1981,
      0.2934,
      0.3207,
      0.4657,
      0.4066,
      0.3194,
      0.2972,
      0.405,
      0.2341,
      0.2039,
      0.3033,
      0.2869,
      0.1626,
      0.4507,
      0.251,
      0.2219,
      0.4145,
      0.3177,
      0.2862,
      0.2633,
      0.3119,
      0.4092,
      0.2996,
      0.3694,
      0.4034,
      0.2453,
      0.0804,
      0.3152,
      0.481,
      0.2537,
      0.292,
      0.4032,
      0.3594,
      0.309,
      0.2437,
      0.3526,
      0.335,
      0.37,
      0.3454,
      0.4025,
      0.3707,
      0.4824,
      0.3831,
      0.2838,
      0.4669,
      0.4052,
      0.336,
      0.4294,
      0.4317,
      0.3685,
      0.4835,
      0.3497,
      0.5064,
      0.3785,
      0.4119,
      0.4422,
      0.2121,
      0.3932,
      0.3008,
      0.4627,
      0.3716,
      0.445,
      0.3152,
      0.392,
      0.3728,
      0.3935,
      0.4824,
      0.3681,
      0.3212,
      0.2596,
      0.1977,
      0.225,
      0.3669,
      0.3258,
      0.24,
      0.3907,
      0.2698,
      0.3531,
      0.422,
      0.4097,
      0.387,
      0.2689,
      0.3861,
      0.3604,
      0.4255,
      0.2396,
      0.2872,
      0.3346,
      0.3477,
      0.1628,
      0.3677,
      0.3772,
      0.414,
      0.4252,
      0.326,
      0.3758,
      0.2431,
      0.2493,
      0.12,
      0.1524,
      0.298,
      0.0872,
      0.0336,
      0.1326,
      0.2054,
      0.1839,
      0.1009,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1126,
      0.1944,
      0,
      0.2736,
      0.138,
      0.1,
      0.0555,
      0.1779,
      0.32,
      0.0646,
      0,
      0.0402,
      0.2377,
      0.161,
      0.4273,
      0.1167,
      0.2352,
      0.1176,
      0.0983,
      0.3503,
      0.0009,
      0.1534,
      0,
      0,
      0.324,
      0.1047,
      0.3157,
      0.0006,
      0.1855,
      0.2804,
      0.3647,
      0.2144,
      0.2731,
      0.259,
      0.3371,
      0.3476,
      0.2984,
      0.3382,
      0.2537,
      0.1575,
      0.2701,
      0.2446,
      0.3343,
      0.435,
      0.2826,
      0.3291,
      0.0903,
      0.3223,
      0.2282,
      0.394,
      0.2865,
      0.2351,
      0.2249,
      0.2852,
      0.355,
      0.326,
      0.2,
      0.1348,
      0.2635,
      0.3523,
      0.3636,
      0.3445,
      0.4317,
      0.1911,
      0.3931,
      0.4706,
      0.2359,
      0.4247,
      0.3754,
      0.1858,
      0.1572,
      0.1815,
      0.2192,
      0.2944,
      0.1138,
      0.1657,
      0.3572,
      0.3667,
      0.3316,
      0.27,
      0.2841,
      0.4431,
      0.5364,
      0.2434,
      0.4424,
      0.2561,
      0.3182,
      0.088,
      0.1974,
      0.2815,
      0.2599,
      0.4227,
      0.3285,
      0.4526,
      0.3275,
      0.236,
      0.3226,
      0.2908,
      0.3238,
      0.2985,
      0.1374,
      0.1186,
      0.1577,
      0.3585,
      0.3,
      0.1683,
      0.1465,
      0.0237,
      0.1279,
      0.2478,
      0.2173,
      0.1318,
      0.03,
      0.2879,
      0.3494,
      0.2873,
      0.3259,
      0.1979,
      0.2455,
      0.1198,
      0.258,
      0.1741,
      0.2004,
      0.3239,
      0.2803,
      0.2235,
      0.3837,
      0.4471,
      0.3142,
      0.3158,
      0.2829,
      0.2783,
      0.2462,
      0.1648,
      0.2228,
      0.1124,
      0.3759,
      0.4656,
      0.3384,
      0.3282,
      0.2571,
      0.284,
      0.292,
      0.1431,
      0.206,
      0.4419,
      0.1967,
      0.3021,
      0.3455,
      0.3098,
      0.286,
      0.3007,
      0.1854,
      0.197,
      0.2556,
      0.3447,
      0.2371,
      0.3497,
      0.3028,
      0.4524,
      0.4015,
      0.4202,
      0.3701,
      0.4068,
      0.3486,
      0.1988,
      0.4871,
      0.4628,
      0.2993,
      0.2155,
      0.5002,
      0.4052,
      0.3725,
      0.442,
      0.442,
      0.3517,
      0.3674,
      0.2196,
      0.2018,
      0.2724,
      0.188,
      0.1774,
      0.3724,
      0.2773,
      0.2743,
      0.3423,
      0.2502,
      0.4706,
      0.4544,
      0.2792,
      0.4175,
      0.3955,
      0.3066,
      0.2309,
      0.2395,
      0.2704,
      0.2737,
      0.3938,
      0.3163,
      0.2689,
      0.3146,
      0.3546,
      0.3743,
      0.2596,
      0.2578,
      0.3689,
      0.2936,
      0.4562,
      0.3936,
      0.3379,
      0.1397,
      0.3441,
      0.4604,
      0.2243,
      0.2468,
      0.5052,
      0.4168,
      0.2803,
      0.3237,
      0.4015,
      0.3126,
      0.2962,
      0.4784,
      0.2506,
      0.4009,
      0.4659,
      0.4527,
      0.301,
      0.4995,
      0.305,
      0.4137,
      0.3935,
      0.4313,
      0.4164,
      0.453,
      0.2861,
      0.4787,
      0.3949,
      0.4479,
      0.43,
      0.3097,
      0.3375,
      0.2678,
      0.4618,
      0.3543,
      0.2969,
      0.3898,
      0.4322,
      0.4429,
      0.3603,
      0.4757,
      0.3704,
      0.3795,
      0.2879,
      0.264,
      0.2615,
      0.3108,
      0.3631,
      0.2065,
      0.3895,
      0.3061,
      0.3294,
      0.4263,
      0.3203,
      0.3795,
      0.2891,
      0.4149,
      0.4187,
      0.4041,
      0.3343,
      0.2432,
      0.2637,
      0.3078,
      0.1871,
      0.3046,
      0.3571,
      0.4648,
      0.461,
      0.3262,
      0.3261,
      0.2451,
      0.2719,
      0.2107,
      0.197,
      0.2355,
      0.1471,
      0.1053,
      0.149,
      0.1968,
      0.18,
      0.0946,
      0,
      0.0094,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1278,
      0.2355,
      0.0845,
      0.2331,
      0.1926,
      0.075,
      0.0815,
      0.2261,
      0.3463,
      0.0809,
      0,
      0.0243,
      0.4282,
      0.1312,
      0.365,
      0.1645,
      0.288,
      0.0625,
      0.0941,
      0.3347,
      0.0178,
      0.1697,
      0,
      0,
      0.3328,
      0.1209,
      0.2407,
      0.0223,
      0.1402,
      0.2896,
      0.3431,
      0.2849,
      0.2592,
      0.244,
      0.4161,
      0.3016,
      0.473,
      0.2388,
      0.2271,
      0.3253,
      0.3088,
      0.2187,
      0.3132,
      0.4839,
      0.2733,
      0.3109,
      0.129,
      0.2765,
      0.16,
      0.4384,
      0.2447,
      0.2592,
      0.1147,
      0.3406,
      0.2343,
      0.3612,
      0.1924,
      0.1548,
      0.2725,
      0.3224,
      0.3261,
      0.4248,
      0.4374,
      0.1712,
      0.3751,
      0.4476,
      0.268,
      0.3116,
      0.2774,
      0.1768,
      0.2649,
      0.1981,
      0.2286,
      0.2719,
      0.1631,
      0.1156,
      0.3998,
      0.3744,
      0.3339,
      0.2977,
      0.2527,
      0.464,
      0.5481,
      0.3119,
      0.4643,
      0.2044,
      0.2596,
      0.2176,
      0.2412,
      0.2524,
      0.2042,
      0.4552,
      0.319,
      0.4162,
      0.3746,
      0.269,
      0.3035,
      0.3039,
      0.4392,
      0.2396,
      0,
      0.1168,
      0.1359,
      0.334,
      0.339,
      0.1711,
      0.1469,
      0.0891,
      0.0693,
      0.2346,
      0.2322,
      0.044,
      0.035,
      0.3756,
      0.383,
      0.3105,
      0.4564,
      0.1759,
      0.2198,
      0.0716,
      0.2614,
      0.2589,
      0.3162,
      0.2146,
      0.1839,
      0.1768,
      0.3533,
      0.3959,
      0.3011,
      0.2905,
      0.3974,
      0.1854,
      0.1995,
      0.2039,
      0.2376,
      0.1427,
      0.3821,
      0.4134,
      0.3349,
      0.338,
      0.2426,
      0.2876,
      0.2964,
      0.2011,
      0.2028,
      0.4281,
      0.1855,
      0.3286,
      0.3241,
      0.2858,
      0.2405,
      0.2334,
      0.1791,
      0.2112,
      0.1861,
      0.2733,
      0.2471,
      0.3567,
      0.3192,
      0.4169,
      0.4053,
      0.4037,
      0.3734,
      0.3567,
      0.3865,
      0.145,
      0.4742,
      0.4394,
      0.3247,
      0.2714,
      0.5002,
      0.3943,
      0.3111,
      0.4456,
      0.4734,
      0.4086,
      0.3421,
      0.1616,
      0.2293,
      0.2899,
      0.1664,
      0.2222,
      0.3265,
      0.2385,
      0.3676,
      0.3693,
      0.1825,
      0.4097,
      0.4348,
      0.2681,
      0.3192,
      0.4975,
      0.2074,
      0.233,
      0.274,
      0.1582,
      0.2559,
      0.3458,
      0.2856,
      0.3697,
      0.2857,
      0.4026,
      0.363,
      0.2468,
      0.3152,
      0.267,
      0.26,
      0.4351,
      0.3437,
      0.3001,
      0.1824,
      0.3857,
      0.4265,
      0.2832,
      0.3356,
      0.3538,
      0.3728,
      0.4678,
      0.3502,
      0.3611,
      0.3099,
      0.3896,
      0.3843,
      0.247,
      0.3757,
      0.4541,
      0.4741,
      0.2625,
      0.4947,
      0.3284,
      0.2695,
      0.3932,
      0.396,
      0.2758,
      0.445,
      0.3411,
      0.4309,
      0.3845,
      0.4491,
      0.4617,
      0.301,
      0.3751,
      0.2655,
      0.4321,
      0.4063,
      0.3469,
      0.3849,
      0.475,
      0.425,
      0.3145,
      0.4456,
      0.4226,
      0.2433,
      0.3164,
      0.2794,
      0.264,
      0.3521,
      0.3223,
      0.1808,
      0.3447,
      0.2929,
      0.3825,
      0.4356,
      0.2907,
      0.4405,
      0.3206,
      0.3451,
      0.3508,
      0.3252,
      0.255,
      0.2007,
      0.1816,
      0.3624,
      0.1581,
      0.2841,
      0.3487,
      0.3873,
      0.4251,
      0.3352,
      0.3762,
      0.2425,
      0.2325,
      0.1996,
      0.1559,
      0.2751,
      0.1588,
      0.1216,
      0.1542,
      0.15,
      0.1778,
      0.2729,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1813,
      0.229,
      0.0501,
      0.1414,
      0.1341,
      0.1329,
      0.0481,
      0.1915,
      0.2236,
      0.1445,
      0,
      0.0221,
      0.3781,
      0.1057,
      0.3878,
      0.1158,
      0.2801,
      0.159,
      0.0439,
      0.3699,
      0.048,
      0.2324,
      0,
      0,
      0.2599,
      0.1243,
      0.3477,
      0.052,
      0.1467,
      0.2825,
      0.3445,
      0.2558,
      0.272,
      0.2514,
      0.4859,
      0.332,
      0.4299,
      0.2883,
      0.2848,
      0.3377,
      0.2527,
      0.2266,
      0.2795,
      0.4068,
      0.2784,
      0.3234,
      0.0558,
      0.2867,
      0.2375,
      0.4457,
      0.2708,
      0.1821,
      0.2753,
      0.3814,
      0.3067,
      0.2181,
      0.0937,
      0.1465,
      0.3039,
      0.2316,
      0.333,
      0.2956,
      0.4469,
      0.1649,
      0.3074,
      0.377,
      0.3002,
      0.4263,
      0.3755,
      0.1342,
      0.2238,
      0.2484,
      0.2064,
      0.3293,
      0.071,
      0.1904,
      0.2875,
      0.3477,
      0.3211,
      0.278,
      0.2725,
      0.2913,
      0.4344,
      0.3097,
      0.4332,
      0.1752,
      0.1976,
      0.0643,
      0.2011,
      0.3413,
      0.2396,
      0.4595,
      0.3052,
      0.4168,
      0.3557,
      0.2751,
      0.3515,
      0.302,
      0.5054,
      0.2299,
      0.0576,
      0.105,
      0.1168,
      0.3552,
      0.2868,
      0.2321,
      0.1269,
      0.1008,
      0.1029,
      0.2062,
      0.2507,
      0.075,
      0,
      0.3688,
      0.3753,
      0.2906,
      0.3972,
      0.2095,
      0.251,
      0.1461,
      0.3219,
      0.1872,
      0.2926,
      0.1283,
      0.1751,
      0.1585,
      0.4491,
      0.4276,
      0.398,
      0.2529,
      0.3643,
      0.2736,
      0.2028,
      0.1758,
      0.2686,
      0.1707,
      0.3831,
      0.3959,
      0.2985,
      0.3099,
      0.2553,
      0.2317,
      0.3396,
      0.2452,
      0.19,
      0.4025,
      0.2284,
      0.3028,
      0.3385,
      0.2604,
      0.2256,
      0.2884,
      0.1566,
      0.2102,
      0.1714,
      0.2391,
      0.2061,
      0.3341,
      0.2877,
      0.3349,
      0.3511,
      0.406,
      0.4016,
      0.3818,
      0.4034,
      0.1741,
      0.528,
      0.4504,
      0.3506,
      0.2403,
      0.5043,
      0.3643,
      0.3171,
      0.4483,
      0.4818,
      0.439,
      0.3454,
      0.2276,
      0.3194,
      0.2635,
      0.1751,
      0.2442,
      0.3613,
      0.1927,
      0.4028,
      0.3557,
      0.3474,
      0.4798,
      0.448,
      0.2344,
      0.3673,
      0.4397,
      0.2287,
      0.2523,
      0.2813,
      0.2185,
      0.2437,
      0.4096,
      0.3449,
      0.3734,
      0.3487,
      0.4107,
      0.4276,
      0.259,
      0.2943,
      0.383,
      0.2819,
      0.4516,
      0.342,
      0.2723,
      0.1519,
      0.3554,
      0.4039,
      0.2317,
      0.3178,
      0.2604,
      0.3515,
      0.4263,
      0.305,
      0.3841,
      0.3135,
      0.3383,
      0.3753,
      0.1869,
      0.3431,
      0.2803,
      0.3717,
      0.3164,
      0.3585,
      0.3207,
      0.3908,
      0.3096,
      0.4113,
      0.3805,
      0.4217,
      0.4238,
      0.4435,
      0.4081,
      0.4243,
      0.4051,
      0.3201,
      0.3854,
      0.2775,
      0.4172,
      0.3837,
      0.2948,
      0.3704,
      0.4385,
      0.4153,
      0.2574,
      0.339,
      0.4362,
      0.3205,
      0.2909,
      0.2399,
      0.2594,
      0.369,
      0.2531,
      0.2191,
      0.2897,
      0.3644,
      0.3586,
      0.439,
      0.2933,
      0.3936,
      0.3356,
      0.3544,
      0.4734,
      0.3671,
      0.3728,
      0.2742,
      0.2316,
      0.4544,
      0.1774,
      0.3243,
      0.4273,
      0.4208,
      0.436,
      0.3068,
      0.4896,
      0.2236,
      0.2788,
      0.192,
      0.2266,
      0.4231,
      0.0445,
      0.125,
      0.1424,
      0.1571,
      0.1757,
      0.2413,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1738,
      0.2372,
      0.0368,
      0.1123,
      0,
      0.0436,
      0.0872,
      0.1807,
      0.1808,
      0.0695,
      0.0169,
      0.1055,
      0.2517,
      0.1623,
      0.4023,
      0.2087,
      0.3074,
      0.1656,
      0.0565,
      0.2841,
      0.0635,
      0.2895,
      0,
      0,
      0.2742,
      0.081,
      0.3124,
      0.0387,
      0.0749,
      0.2933,
      0.2841,
      0.2946,
      0.3141,
      0.2291,
      0.4098,
      0.3136,
      0.3123,
      0.2616,
      0.3162,
      0.2916,
      0.3131,
      0.163,
      0.299,
      0.4721,
      0.2387,
      0.2918,
      0.0525,
      0.3158,
      0.3162,
      0.3127,
      0.2633,
      0.2572,
      0.2476,
      0.3639,
      0.3978,
      0.312,
      0.1365,
      0.1129,
      0.2988,
      0.2468,
      0.2848,
      0.2792,
      0.4677,
      0.1278,
      0.331,
      0.3864,
      0.2642,
      0.3965,
      0.372,
      0.1906,
      0.3034,
      0.1739,
      0.138,
      0.3442,
      0.1726,
      0.1308,
      0.2418,
      0.364,
      0.3656,
      0.3128,
      0.2275,
      0.3369,
      0.5032,
      0.2524,
      0.4208,
      0.156,
      0.2322,
      0.1106,
      0.163,
      0.3216,
      0.2388,
      0.4601,
      0.3709,
      0.5106,
      0.3367,
      0.2515,
      0.2998,
      0.3293,
      0.3252,
      0.3612,
      0.1368,
      0.162,
      0.118,
      0.4302,
      0.3126,
      0.1787,
      0.1403,
      0.0507,
      0.0878,
      0.235,
      0.2393,
      0.0573,
      0,
      0.3999,
      0.3312,
      0.2341,
      0.4171,
      0.1548,
      0.2864,
      0.1489,
      0.357,
      0.3053,
      0.192,
      0.2581,
      0.1677,
      0.1177,
      0.322,
      0.4002,
      0.3158,
      0.2999,
      0.3104,
      0.2944,
      0.3322,
      0.196,
      0.2734,
      0.158,
      0.3824,
      0.407,
      0.2563,
      0.3648,
      0.266,
      0.2462,
      0.345,
      0.2648,
      0.3478,
      0.4472,
      0.2623,
      0.2602,
      0.409,
      0.2348,
      0.3113,
      0.316,
      0.1801,
      0.2626,
      0.2489,
      0.2539,
      0.2375,
      0.3753,
      0.2864,
      0.3794,
      0.3176,
      0.3981,
      0.3604,
      0.3842,
      0.4217,
      0.2955,
      0.4024,
      0.3845,
      0.3844,
      0.2588,
      0.4876,
      0.3814,
      0.2959,
      0.4182,
      0.4261,
      0.358,
      0.4102,
      0.2527,
      0.3208,
      0.2564,
      0.1829,
      0.2301,
      0.3884,
      0.2184,
      0.3204,
      0.2662,
      0.3471,
      0.3798,
      0.3655,
      0.2196,
      0.361,
      0.391,
      0.2058,
      0.2533,
      0.3108,
      0.1726,
      0.2443,
      0.4485,
      0.4555,
      0.3727,
      0.2368,
      0.3218,
      0.2849,
      0.2505,
      0.2826,
      0.3578,
      0.2328,
      0.4149,
      0.3009,
      0.2184,
      0.14,
      0.3269,
      0.4337,
      0.2798,
      0.3604,
      0.2051,
      0.377,
      0.3582,
      0.3552,
      0.352,
      0.2772,
      0.3624,
      0.2642,
      0.2266,
      0.353,
      0.4477,
      0.3824,
      0.274,
      0.3586,
      0.3137,
      0.3523,
      0.3274,
      0.3132,
      0.3433,
      0.3976,
      0.254,
      0.4277,
      0.3924,
      0.4674,
      0.4884,
      0.3493,
      0.4038,
      0.2739,
      0.3759,
      0.3518,
      0.2205,
      0.4097,
      0.3128,
      0.3922,
      0.381,
      0.4855,
      0.4332,
      0.2907,
      0.2839,
      0.2652,
      0.2546,
      0.3323,
      0.2999,
      0.1823,
      0.3366,
      0.4362,
      0.3498,
      0.4373,
      0.3384,
      0.4573,
      0.3818,
      0.3678,
      0.4764,
      0.53,
      0.4509,
      0.3109,
      0.1785,
      0.3987,
      0.1743,
      0.3356,
      0.4372,
      0.4801,
      0.4206,
      0.29,
      0.3696,
      0.2958,
      0.2863,
      0.1784,
      0.1751,
      0.3008,
      0.03,
      0.1125,
      0.1032,
      0.2124,
      0.0474,
      0.0796,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2287,
      0.245,
      0.0605,
      0.1783,
      0.0812,
      0.0832,
      0.1269,
      0.247,
      0.2139,
      0.1298,
      0,
      0.1286,
      0.2521,
      0.1329,
      0.3547,
      0.1393,
      0.1963,
      0.1571,
      0.0188,
      0.383,
      0.0639,
      0.1802,
      0,
      0.0011,
      0.3488,
      0.1111,
      0.3508,
      0.0579,
      0.1343,
      0.282,
      0.3261,
      0.2874,
      0.3041,
      0.2049,
      0.408,
      0.3455,
      0.2961,
      0.4469,
      0.2026,
      0.2762,
      0.3154,
      0.0811,
      0.3028,
      0.4601,
      0.2592,
      0.339,
      0.1263,
      0.2638,
      0.3034,
      0.3258,
      0.2817,
      0.2261,
      0.2373,
      0.3924,
      0.3475,
      0.241,
      0.1332,
      0.0979,
      0.3129,
      0.2787,
      0.2763,
      0.2399,
      0.3751,
      0.2005,
      0.4153,
      0.4302,
      0.3511,
      0.4093,
      0.2957,
      0.1681,
      0.2396,
      0.2379,
      0.2131,
      0.2906,
      0.0417,
      0.1354,
      0.2695,
      0.3476,
      0.3301,
      0.2185,
      0.2646,
      0.3693,
      0.5644,
      0.2805,
      0.3657,
      0.0096,
      0.3066,
      0.1184,
      0.2449,
      0.3341,
      0.2451,
      0.4488,
      0.4022,
      0.4529,
      0.3754,
      0.2465,
      0.3324,
      0.2795,
      0.2243,
      0.3117,
      0.1128,
      0.1002,
      0.1232,
      0.4308,
      0.3808,
      0.1743,
      0.1477,
      0.1059,
      0.0733,
      0.2654,
      0.2345,
      0.0632,
      0.0041,
      0.3874,
      0.4315,
      0.3317,
      0.4467,
      0.2285,
      0.2811,
      0.1171,
      0.3568,
      0.319,
      0.2108,
      0.2784,
      0.2113,
      0.1591,
      0.3153,
      0.3447,
      0.3028,
      0.3072,
      0.3001,
      0.1828,
      0.2239,
      0.1741,
      0.2439,
      0.0924,
      0.3133,
      0.3996,
      0.2954,
      0.2952,
      0.3007,
      0.2228,
      0.3256,
      0.2457,
      0.2867,
      0.4175,
      0.3717,
      0.1968,
      0.3857,
      0.2825,
      0.2675,
      0.2367,
      0.2307,
      0.208,
      0.221,
      0.2604,
      0.2279,
      0.3595,
      0.3014,
      0.391,
      0.3671,
      0.3494,
      0.4148,
      0.3742,
      0.4299,
      0.1658,
      0.475,
      0.3774,
      0.4204,
      0.3632,
      0.437,
      0.3864,
      0.39,
      0.4351,
      0.4385,
      0.269,
      0.4344,
      0.2596,
      0.2496,
      0.2156,
      0.1656,
      0.1793,
      0.3211,
      0.2298,
      0.2051,
      0.4124,
      0.366,
      0.3961,
      0.3782,
      0.3187,
      0.4177,
      0.3429,
      0.2899,
      0.2023,
      0.2854,
      0.2228,
      0.1718,
      0.3406,
      0.4466,
      0.3229,
      0.3569,
      0.3614,
      0.2907,
      0.2808,
      0.2997,
      0.3098,
      0.2616,
      0.4135,
      0.2847,
      0.2313,
      0.1233,
      0.2903,
      0.4207,
      0.2469,
      0.3349,
      0.3053,
      0.3459,
      0.2556,
      0.291,
      0.3371,
      0.3608,
      0.3059,
      0.2986,
      0.1238,
      0.3864,
      0.3845,
      0.3719,
      0.2742,
      0.29,
      0.2572,
      0.2677,
      0.4068,
      0.3172,
      0.274,
      0.3978,
      0.3082,
      0.418,
      0.5046,
      0.4774,
      0.5111,
      0.3421,
      0.403,
      0.2876,
      0.4233,
      0.4169,
      0.3172,
      0.3551,
      0.3885,
      0.3946,
      0.3643,
      0.4845,
      0.4002,
      0.2615,
      0.3422,
      0.3351,
      0.1979,
      0.3217,
      0.3623,
      0.1154,
      0.4351,
      0.45,
      0.3504,
      0.4695,
      0.4423,
      0.4415,
      0.4577,
      0.3258,
      0.4279,
      0.2649,
      0.2826,
      0.2822,
      0.1331,
      0.3173,
      0.0718,
      0.306,
      0.3899,
      0.424,
      0.4437,
      0.3508,
      0.3956,
      0.2683,
      0.3086,
      0.1024,
      0.0899,
      0.2922,
      0.1066,
      0.1213,
      0.1799,
      0.2077,
      0.301,
      0.1395,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1564,
      0.2835,
      0.1356,
      0.1842,
      0.089,
      0.143,
      0.1265,
      0.2601,
      0.1941,
      0.1462,
      0.0064,
      0.148,
      0.2517,
      0.306,
      0.3775,
      0.1434,
      0.1844,
      0.128,
      0.0816,
      0.4028,
      0.0006,
      0.1792,
      0,
      0,
      0.394,
      0.1433,
      0.4267,
      0.0195,
      0.068,
      0.3022,
      0.2947,
      0.2309,
      0.2,
      0.1454,
      0.4416,
      0.3026,
      0.297,
      0.338,
      0.2036,
      0.2968,
      0.2981,
      0.1828,
      0.274,
      0.4665,
      0.2912,
      0.334,
      0.1201,
      0.2091,
      0.3274,
      0.3313,
      0.3375,
      0.2377,
      0.2449,
      0.3673,
      0.3877,
      0.2689,
      0.1621,
      0.0696,
      0.3352,
      0.2778,
      0.3379,
      0.2453,
      0.2804,
      0.2369,
      0.439,
      0.4046,
      0.2811,
      0.3313,
      0.3914,
      0.1584,
      0.1922,
      0.2013,
      0.176,
      0.2931,
      0.0996,
      0.1257,
      0.2879,
      0.3975,
      0.3516,
      0.1483,
      0.2437,
      0.3385,
      0.4852,
      0.2746,
      0.4218,
      0.1871,
      0.3093,
      0.1247,
      0.2619,
      0.362,
      0.2203,
      0.4421,
      0.4372,
      0.5375,
      0.3687,
      0.2068,
      0.2783,
      0.2719,
      0.1456,
      0.2489,
      0.0365,
      0.1619,
      0.0737,
      0.4022,
      0.3157,
      0.2197,
      0.1478,
      0.1887,
      0.0862,
      0.2546,
      0.2495,
      0.2563,
      0.0694,
      0.41,
      0.3664,
      0.2414,
      0.448,
      0.2407,
      0.2498,
      0.1735,
      0.2984,
      0.2995,
      0.2932,
      0.2287,
      0.247,
      0.3002,
      0.4239,
      0.4324,
      0.3336,
      0.306,
      0.2682,
      0.1249,
      0.2793,
      0.1274,
      0.2254,
      0.1001,
      0.3689,
      0.4169,
      0.3018,
      0.2756,
      0.2762,
      0.2111,
      0.3417,
      0.2304,
      0.1808,
      0.3895,
      0.2816,
      0.2128,
      0.3615,
      0.2474,
      0.2995,
      0.1728,
      0.2095,
      0.2584,
      0.2016,
      0.323,
      0.2849,
      0.3527,
      0.284,
      0.341,
      0.3513,
      0.4237,
      0.2949,
      0.3454,
      0.3341,
      0.1232,
      0.4919,
      0.3696,
      0.4749,
      0.3336,
      0.4106,
      0.3931,
      0.366,
      0.5007,
      0.4406,
      0.3048,
      0.4076,
      0.2541,
      0.1687,
      0.2136,
      0.1283,
      0.2177,
      0.4119,
      0.2106,
      0.204,
      0.4082,
      0.4006,
      0.3981,
      0.4127,
      0.351,
      0.3918,
      0.3489,
      0.3063,
      0.1691,
      0.3575,
      0.2348,
      0.259,
      0.2129,
      0.311,
      0.1915,
      0.3552,
      0.2751,
      0.3248,
      0.3569,
      0.2542,
      0.3366,
      0.2468,
      0.3632,
      0.3492,
      0.2646,
      0.075,
      0.3456,
      0.4463,
      0.2429,
      0.3245,
      0.3233,
      0.3294,
      0.2329,
      0.2533,
      0.3335,
      0.4331,
      0.3802,
      0.3026,
      0.3291,
      0.3747,
      0.4057,
      0.4551,
      0.256,
      0.2479,
      0.4109,
      0.4533,
      0.3607,
      0.2936,
      0.3806,
      0.3513,
      0.3291,
      0.4536,
      0.4854,
      0.4454,
      0.5154,
      0.2941,
      0.3438,
      0.4591,
      0.3894,
      0.3887,
      0.2749,
      0.3475,
      0.4233,
      0.4268,
      0.326,
      0.4501,
      0.306,
      0.2926,
      0.3059,
      0.3207,
      0.174,
      0.3016,
      0.3327,
      0.2529,
      0.3529,
      0.4125,
      0.3726,
      0.4945,
      0.3671,
      0.3756,
      0.4117,
      0.3413,
      0.4094,
      0.3264,
      0.2209,
      0.2072,
      0.1957,
      0.2559,
      0.1904,
      0.3568,
      0.4118,
      0.4492,
      0.4375,
      0.3081,
      0.3878,
      0.2286,
      0.181,
      0.1768,
      0.1514,
      0.2233,
      0.0944,
      0.101,
      0.2079,
      0.1383,
      0.2075,
      0.0625,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1728,
      0.2201,
      0.1496,
      0.1894,
      0.1041,
      0.1149,
      0.1346,
      0.2944,
      0.2527,
      0.1104,
      0,
      0.1815,
      0.1443,
      0.206,
      0.3697,
      0.1974,
      0.2069,
      0.1318,
      0.1498,
      0.2785,
      0.0614,
      0.1189,
      0,
      0,
      0.49,
      0.1248,
      0.4129,
      0,
      0.1016,
      0.2497,
      0.2509,
      0.2536,
      0.2257,
      0.2168,
      0.3817,
      0.2965,
      0.2782,
      0.3362,
      0.2272,
      0.1835,
      0.3081,
      0.1056,
      0.2546,
      0.3893,
      0.2993,
      0.4085,
      0.1711,
      0.2049,
      0.3145,
      0.376,
      0.2678,
      0.2537,
      0.1821,
      0.4308,
      0.3498,
      0.3556,
      0.1958,
      0.1658,
      0.3389,
      0.3775,
      0.2653,
      0.2175,
      0.2322,
      0.1776,
      0.3681,
      0.4455,
      0.2256,
      0.3488,
      0.4105,
      0.236,
      0.2708,
      0.2243,
      0.2444,
      0.2761,
      0.2357,
      0.1519,
      0.3299,
      0.4542,
      0.3917,
      0.2999,
      0.2694,
      0.3804,
      0.5174,
      0.2562,
      0.4558,
      0.221,
      0.2849,
      0.083,
      0.2474,
      0.3519,
      0.1704,
      0.43,
      0.404,
      0.4498,
      0.2785,
      0.2633,
      0.2967,
      0.3431,
      0.3065,
      0.2891,
      0.1436,
      0.106,
      0.0372,
      0.4638,
      0.3586,
      0.2607,
      0.1448,
      0.1547,
      0.1162,
      0.1939,
      0.2291,
      0.2011,
      0.0425,
      0.3387,
      0.4436,
      0.3336,
      0.4952,
      0.1961,
      0.1745,
      0.0834,
      0.2674,
      0.2808,
      0.3419,
      0.2919,
      0.2195,
      0.1813,
      0.4287,
      0.4455,
      0.3423,
      0.3923,
      0.2585,
      0.2794,
      0.2876,
      0.1829,
      0.2081,
      0.1898,
      0.3668,
      0.4683,
      0.2882,
      0.2933,
      0.2497,
      0.2575,
      0.3518,
      0.2121,
      0.2523,
      0.4266,
      0.203,
      0.2977,
      0.4216,
      0.3709,
      0.322,
      0.2693,
      0.2213,
      0.2515,
      0.2198,
      0.3045,
      0.2076,
      0.3503,
      0.2845,
      0.397,
      0.3941,
      0.3886,
      0.3482,
      0.2707,
      0.3395,
      0.2444,
      0.5275,
      0.3583,
      0.1633,
      0.3544,
      0.3654,
      0.4152,
      0.3964,
      0.4595,
      0.4199,
      0.3637,
      0.4219,
      0.2513,
      0.3432,
      0.3021,
      0.1093,
      0.2161,
      0.1922,
      0.2384,
      0.219,
      0.3644,
      0.4325,
      0.3601,
      0.3575,
      0.3756,
      0.3474,
      0.3563,
      0.3295,
      0.2213,
      0.4246,
      0.2313,
      0.2775,
      0.3599,
      0.2418,
      0.1188,
      0.3052,
      0.3478,
      0.3846,
      0.3511,
      0.2518,
      0.3034,
      0.2264,
      0.3432,
      0.3986,
      0.3225,
      0.1572,
      0.3473,
      0.4308,
      0.3181,
      0.3113,
      0.3703,
      0.286,
      0.2435,
      0.2552,
      0.3141,
      0.2842,
      0.3651,
      0.2638,
      0.2569,
      0.3804,
      0.415,
      0.4389,
      0.245,
      0.3519,
      0.3642,
      0.4042,
      0.3814,
      0.4185,
      0.4671,
      0.4105,
      0.3429,
      0.4635,
      0.384,
      0.4072,
      0.443,
      0.3201,
      0.3495,
      0.413,
      0.4212,
      0.4124,
      0.2777,
      0.3914,
      0.4393,
      0.4422,
      0.3459,
      0.4491,
      0.3736,
      0.4352,
      0.3222,
      0.3071,
      0.2913,
      0.2372,
      0.3446,
      0.2521,
      0.3671,
      0.3939,
      0.3839,
      0.4185,
      0.3833,
      0.3599,
      0.393,
      0.3667,
      0.3317,
      0.3768,
      0.3069,
      0.3668,
      0.2256,
      0.3216,
      0.1784,
      0.3759,
      0.3775,
      0.4031,
      0.4463,
      0.3294,
      0.3491,
      0.2905,
      0.251,
      0.1412,
      0.2245,
      0.1881,
      0.1103,
      0.145,
      0.2604,
      0.0993,
      0.1953,
      0.0133,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2527,
      0.2356,
      0.0741,
      0.2613,
      0.1306,
      0.1357,
      0.077,
      0.2069,
      0.1917,
      0.1877,
      0,
      0.158,
      0.3173,
      0.1046,
      0.4182,
      0.1591,
      0.2411,
      0.1658,
      0.1939,
      0.3609,
      0.0286,
      0.1145,
      0,
      0.0693,
      0.2915,
      0.05,
      0.3632,
      0,
      0.1947,
      0.2936,
      0.2671,
      0.2598,
      0.279,
      0.2084,
      0.4613,
      0.3186,
      0.2478,
      0.2796,
      0.2904,
      0.3078,
      0.36,
      0.1522,
      0.2334,
      0.487,
      0.3895,
      0.3265,
      0.1433,
      0.1713,
      0.1974,
      0.386,
      0.2673,
      0.3161,
      0.2369,
      0.3379,
      0.3146,
      0.3095,
      0.1525,
      0.1317,
      0.346,
      0.3877,
      0.2547,
      0.2729,
      0.2217,
      0.093,
      0.3522,
      0.4022,
      0.2197,
      0.3959,
      0.3216,
      0.1143,
      0.1345,
      0.132,
      0.1881,
      0.2253,
      0.1568,
      0.0198,
      0.3247,
      0.3757,
      0.295,
      0.3127,
      0.1756,
      0.2711,
      0.3721,
      0.2707,
      0.4008,
      0.1605,
      0.2649,
      0.0811,
      0.2021,
      0.3349,
      0.2024,
      0.4777,
      0.4479,
      0.5033,
      0.3479,
      0.2578,
      0.3539,
      0.2771,
      0.2031,
      0.2733,
      0.1763,
      0.4486,
      0.0476,
      0.3691,
      0.3608,
      0.2071,
      0.195,
      0.1653,
      0.072,
      0.222,
      0.2464,
      0.0228,
      0.0014,
      0.2861,
      0.454,
      0.2717,
      0.3374,
      0.1851,
      0.1783,
      0.0946,
      0.3204,
      0.2336,
      0.3387,
      0.2141,
      0.2457,
      0.2058,
      0.3721,
      0.4544,
      0.3442,
      0.4111,
      0.2205,
      0.166,
      0.2315,
      0.1593,
      0.1307,
      0.1159,
      0.3407,
      0.455,
      0.3081,
      0.3011,
      0.3315,
      0.2899,
      0.2268,
      0.134,
      0.1591,
      0.438,
      0.1564,
      0.3334,
      0.3927,
      0.2492,
      0.246,
      0.2308,
      0.1301,
      0.205,
      0.2163,
      0.1571,
      0.2707,
      0.3431,
      0.3054,
      0.3498,
      0.3586,
      0.3317,
      0.3452,
      0.3046,
      0.2669,
      0.1328,
      0.5412,
      0.3233,
      0.2622,
      0.3806,
      0.4143,
      0.4097,
      0.3831,
      0.4013,
      0.3869,
      0.2009,
      0.4823,
      0.2856,
      0.3442,
      0.2281,
      0.196,
      0.2124,
      0.3747,
      0.1936,
      0.249,
      0.3811,
      0.4025,
      0.2935,
      0.3101,
      0.3695,
      0.358,
      0.3393,
      0.2099,
      0.1458,
      0.3209,
      0.1658,
      0.2223,
      0.3188,
      0.2452,
      0.2109,
      0.3663,
      0.3696,
      0.2316,
      0.2698,
      0.3064,
      0.3639,
      0.1823,
      0.304,
      0.3479,
      0.3041,
      0.0705,
      0.2765,
      0.4202,
      0.2626,
      0.1853,
      0.2557,
      0.2135,
      0.2537,
      0.2388,
      0.3426,
      0.366,
      0.3886,
      0.3882,
      0.3129,
      0.3938,
      0.4528,
      0.4032,
      0.2772,
      0.3499,
      0.2257,
      0.288,
      0.3405,
      0.3054,
      0.3439,
      0.3597,
      0.3338,
      0.3181,
      0.3963,
      0.4293,
      0.4784,
      0.2562,
      0.3251,
      0.389,
      0.4184,
      0.4228,
      0.3611,
      0.3796,
      0.4948,
      0.4204,
      0.3198,
      0.4423,
      0.3679,
      0.3181,
      0.2523,
      0.2657,
      0.2491,
      0.2256,
      0.2931,
      0.0812,
      0.413,
      0.3744,
      0.3294,
      0.4378,
      0.3184,
      0.3459,
      0.3568,
      0.3557,
      0.3444,
      0.3002,
      0.1601,
      0.2372,
      0.2602,
      0.2807,
      0.1345,
      0.3468,
      0.2883,
      0.3837,
      0.4498,
      0.3514,
      0.2884,
      0.249,
      0.2378,
      0.1137,
      0.1323,
      0.2268,
      0.0171,
      0.1292,
      0.2702,
      0.1142,
      0.1722,
      0.0788,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2066,
      0.2212,
      0.1514,
      0.2107,
      0.1457,
      0.0869,
      0.2052,
      0.1496,
      0.246,
      0.1337,
      0,
      0.1821,
      0.4021,
      0.1605,
      0.4777,
      0.1181,
      0.2474,
      0.1875,
      0.158,
      0.3064,
      0.024,
      0.1326,
      0,
      0.0343,
      0.3317,
      0.0622,
      0.3644,
      0.0179,
      0.0435,
      0.3213,
      0.328,
      0.2718,
      0.256,
      0.2187,
      0.3763,
      0.3275,
      0.2873,
      0.2923,
      0.2486,
      0.3362,
      0.3759,
      0.2629,
      0.2126,
      0.4468,
      0.3355,
      0.2964,
      0.1549,
      0.2645,
      0.3287,
      0.4098,
      0.2134,
      0.2745,
      0.2273,
      0.3531,
      0.3407,
      0.3195,
      0.1808,
      0.0228,
      0.3453,
      0.311,
      0.2737,
      0.2941,
      0.3537,
      0.0182,
      0.3352,
      0.4184,
      0.2389,
      0.3615,
      0.3153,
      0.1599,
      0.1883,
      0.249,
      0.1062,
      0.2379,
      0.1421,
      0.1062,
      0.2476,
      0.3553,
      0.289,
      0.3686,
      0.1687,
      0.3319,
      0.4175,
      0.3541,
      0.4298,
      0.1968,
      0.2229,
      0.1052,
      0.2587,
      0.2818,
      0.2616,
      0.4593,
      0.4434,
      0.4944,
      0.3071,
      0.3005,
      0.3527,
      0.2554,
      0.2195,
      0.2398,
      0.2418,
      0.2125,
      0.0896,
      0.3026,
      0.3693,
      0.2026,
      0.2157,
      0.1156,
      0.152,
      0.1587,
      0.2096,
      0.058,
      0.0142,
      0.3306,
      0.2513,
      0.2786,
      0.4435,
      0.1734,
      0.2687,
      0.1101,
      0.3284,
      0.2222,
      0.2224,
      0.2562,
      0.2136,
      0.1541,
      0.5054,
      0.4118,
      0.4153,
      0.3489,
      0.2304,
      0.1747,
      0.2265,
      0.179,
      0.2053,
      0.0842,
      0.3734,
      0.4297,
      0.3105,
      0.2926,
      0.3404,
      0.223,
      0.274,
      0.2156,
      0.1293,
      0.4347,
      0.0741,
      0.2267,
      0.3375,
      0.3302,
      0.3357,
      0.3067,
      0.231,
      0.2181,
      0.2082,
      0.2742,
      0.261,
      0.3555,
      0.294,
      0.3755,
      0.4168,
      0.5076,
      0.3949,
      0.341,
      0.3115,
      0.0524,
      0.4797,
      0.3513,
      0.2651,
      0.3945,
      0.4116,
      0.399,
      0.3914,
      0.4228,
      0.3688,
      0.287,
      0.4363,
      0.2997,
      0.2381,
      0.2689,
      0.1478,
      0.2642,
      0.4056,
      0.2038,
      0.3438,
      0.3709,
      0.3541,
      0.4254,
      0.417,
      0.3496,
      0.3819,
      0.4365,
      0.2346,
      0.1299,
      0.3643,
      0.1525,
      0.2343,
      0.3003,
      0.218,
      0.2084,
      0.3409,
      0.3775,
      0.2333,
      0.2423,
      0.2718,
      0.383,
      0.2328,
      0.2955,
      0.26,
      0.1997,
      0.1013,
      0.2602,
      0.4015,
      0.2871,
      0.3144,
      0.1506,
      0.2541,
      0.2448,
      0.2789,
      0.2833,
      0.1572,
      0.3578,
      0.4608,
      0.2781,
      0.3002,
      0.4887,
      0.4225,
      0.2823,
      0.3279,
      0.2554,
      0.212,
      0.2998,
      0.2336,
      0.3566,
      0.3608,
      0.3158,
      0.259,
      0.3734,
      0.4423,
      0.486,
      0.2768,
      0.342,
      0.2656,
      0.4179,
      0.3871,
      0.4017,
      0.3816,
      0.4184,
      0.3864,
      0.3322,
      0.4196,
      0.4156,
      0.3278,
      0.235,
      0.3097,
      0.2273,
      0.2077,
      0.3095,
      0.185,
      0.352,
      0.3523,
      0.3894,
      0.442,
      0.3996,
      0.3387,
      0.2746,
      0.3574,
      0.2902,
      0.2457,
      0.164,
      0.204,
      0.2329,
      0.2808,
      0.1435,
      0.3518,
      0.3863,
      0.4106,
      0.4238,
      0.3314,
      0.3031,
      0.275,
      0.2627,
      0.1708,
      0.1371,
      0.2166,
      0,
      0.1233,
      0.2659,
      0.1903,
      0.0706,
      0.0037,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2243,
      0.1917,
      0.1396,
      0.2019,
      0.1444,
      0.0243,
      0.1299,
      0.1839,
      0.0879,
      0.1855,
      0.0497,
      0.1351,
      0.221,
      0.16,
      0.4679,
      0.1476,
      0.3251,
      0.1001,
      0.1184,
      0.3675,
      0.0199,
      0.2529,
      0,
      0.0438,
      0.3399,
      0.0832,
      0.2679,
      0.0449,
      0.103,
      0.3262,
      0.2679,
      0.2732,
      0.2951,
      0.2055,
      0.4067,
      0.3255,
      0.3609,
      0.2844,
      0.2747,
      0.458,
      0.3554,
      0.267,
      0.2037,
      0.4122,
      0.2486,
      0.356,
      0.1495,
      0.1736,
      0.3249,
      0.4968,
      0.2384,
      0.2351,
      0.1625,
      0.3488,
      0.3525,
      0.2418,
      0.1974,
      0.0496,
      0.3398,
      0.2002,
      0.2323,
      0.2545,
      0.3098,
      0.1036,
      0.357,
      0.4002,
      0.2888,
      0.3,
      0.2874,
      0.0945,
      0.204,
      0.2364,
      0.184,
      0.1728,
      0.1169,
      0.1541,
      0.2223,
      0.3273,
      0.3198,
      0.2791,
      0.2288,
      0.5301,
      0.4825,
      0.2758,
      0.4106,
      0.0911,
      0.2289,
      0.2206,
      0.2386,
      0.3105,
      0.2652,
      0.4891,
      0.4157,
      0.3627,
      0.3647,
      0.2872,
      0.3279,
      0.1803,
      0.2209,
      0.2528,
      0.1124,
      0.1583,
      0.085,
      0.3011,
      0.2451,
      0.2432,
      0.1203,
      0.1265,
      0.1054,
      0.2562,
      0.2376,
      0.0831,
      0,
      0.3354,
      0.3491,
      0.1252,
      0.4092,
      0.0847,
      0.3251,
      0.0689,
      0.284,
      0.2415,
      0.2724,
      0.1796,
      0.3198,
      0.1712,
      0.4025,
      0.4125,
      0.3416,
      0.1775,
      0.2381,
      0.1208,
      0.2896,
      0.2447,
      0.1583,
      0.0823,
      0.3546,
      0.4425,
      0.2898,
      0.3153,
      0.4713,
      0.1819,
      0.2296,
      0.1714,
      0.1258,
      0.4422,
      0.1445,
      0.2351,
      0.3589,
      0.2743,
      0.2252,
      0.2497,
      0.2126,
      0.3535,
      0.2317,
      0.241,
      0.2548,
      0.2463,
      0.2226,
      0.306,
      0.4168,
      0.4639,
      0.2964,
      0.2921,
      0.3736,
      0.2313,
      0.5017,
      0.3255,
      0.2244,
      0.3427,
      0.3466,
      0.4204,
      0.322,
      0.3878,
      0.4709,
      0.2111,
      0.4099,
      0.1734,
      0.1739,
      0.3916,
      0.221,
      0.2767,
      0.3687,
      0.2561,
      0.4452,
      0.3668,
      0.3144,
      0.3807,
      0.3952,
      0.3068,
      0.4075,
      0.5111,
      0.2729,
      0.2686,
      0.3427,
      0.1506,
      0.1689,
      0.3663,
      0.2789,
      0.1799,
      0.3135,
      0.2857,
      0.2624,
      0.2582,
      0.2827,
      0.3468,
      0.2758,
      0.334,
      0.2394,
      0.2737,
      0.1373,
      0.3324,
      0.4093,
      0.2918,
      0.3196,
      0.2645,
      0.288,
      0.1868,
      0.2516,
      0.3421,
      0.2617,
      0.2675,
      0.3944,
      0.2264,
      0.3654,
      0.4223,
      0.4679,
      0.2379,
      0.2219,
      0.3245,
      0.3171,
      0.3678,
      0.2176,
      0.2915,
      0.3191,
      0.3942,
      0.3028,
      0.3476,
      0.3162,
      0.4338,
      0.2571,
      0.3448,
      0.2398,
      0.4082,
      0.3966,
      0.4017,
      0.4186,
      0.3427,
      0.3272,
      0.3879,
      0.3657,
      0.398,
      0.2831,
      0.307,
      0.2907,
      0.2077,
      0.3294,
      0.3408,
      0.207,
      0.4458,
      0.3074,
      0.29,
      0.3661,
      0.4288,
      0.363,
      0.2894,
      0.3184,
      0.3826,
      0.2522,
      0.1594,
      0.1159,
      0.2073,
      0.3971,
      0.1502,
      0.3146,
      0.2768,
      0.3886,
      0.3598,
      0.4089,
      0.2792,
      0.2682,
      0.2198,
      0.1013,
      0.2217,
      0.2242,
      0.0139,
      0.0716,
      0.2318,
      0.1969,
      0.1642,
      0.0374,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1909,
      0.2019,
      0.0913,
      0.2134,
      0.1179,
      0.0818,
      0.214,
      0.2263,
      0.1856,
      0.1721,
      0.0271,
      0.2058,
      0.1838,
      0.1352,
      0.4588,
      0.1724,
      0.1938,
      0.1436,
      0.0876,
      0.3432,
      0.0871,
      0.12,
      0,
      0.0335,
      0.2629,
      0.0975,
      0.3557,
      0.0565,
      0.0775,
      0.2896,
      0.2923,
      0.2895,
      0.1978,
      0.2392,
      0.4136,
      0.251,
      0.4272,
      0.275,
      0.2971,
      0.4149,
      0.3217,
      0.2839,
      0.2922,
      0.4008,
      0.2675,
      0.3404,
      0.1135,
      0.1962,
      0.3478,
      0.5431,
      0.283,
      0.2845,
      0.1838,
      0.3009,
      0.3622,
      0.2483,
      0.1943,
      0.0989,
      0.3286,
      0.1866,
      0.2994,
      0.2029,
      0.366,
      0.1497,
      0.4016,
      0.4182,
      0.3127,
      0.3141,
      0.3603,
      0.1743,
      0.2039,
      0.2249,
      0.2259,
      0.2381,
      0.1365,
      0.1141,
      0.2799,
      0.3941,
      0.3704,
      0.2589,
      0.1702,
      0.4291,
      0.4941,
      0.3153,
      0.4041,
      0.1223,
      0.2539,
      0.1551,
      0.1758,
      0.3348,
      0.1879,
      0.4448,
      0.4038,
      0.4067,
      0.3361,
      0.2684,
      0.2946,
      0.3179,
      0.2239,
      0.2139,
      0.1105,
      0.1004,
      0.0658,
      0.2979,
      0.2623,
      0.1693,
      0.0836,
      0.1516,
      0.0525,
      0.2553,
      0.2084,
      0.0565,
      0.0078,
      0.3569,
      0.3646,
      0.2035,
      0.4296,
      0.1016,
      0.2572,
      0.14,
      0.2755,
      0.1954,
      0.2687,
      0.2051,
      0.3551,
      0.1573,
      0.3663,
      0.3663,
      0.3247,
      0.3357,
      0.1723,
      0.1374,
      0.2553,
      0.1928,
      0.1113,
      0.0871,
      0.4021,
      0.3958,
      0.2203,
      0.3755,
      0.5218,
      0.2506,
      0.2112,
      0.192,
      0.108,
      0.4366,
      0.1037,
      0.3163,
      0.3165,
      0.3882,
      0.2164,
      0.2341,
      0.2194,
      0.2494,
      0.177,
      0.3031,
      0.2399,
      0.3121,
      0.1763,
      0.4255,
      0.386,
      0.411,
      0.3166,
      0.3311,
      0.4142,
      0.1659,
      0.4647,
      0.3696,
      0.2008,
      0.357,
      0.4131,
      0.4167,
      0.3538,
      0.4558,
      0.3556,
      0.2548,
      0.3644,
      0.2534,
      0.2125,
      0.4076,
      0.2246,
      0.3942,
      0.3089,
      0.1615,
      0.2593,
      0.3806,
      0.2449,
      0.3725,
      0.4371,
      0.264,
      0.3966,
      0.5294,
      0.19,
      0.1704,
      0.2066,
      0.229,
      0.3088,
      0.2857,
      0.4698,
      0.1973,
      0.3195,
      0.2909,
      0.3022,
      0.2395,
      0.4132,
      0.363,
      0.1554,
      0.3879,
      0.3069,
      0.2102,
      0.0797,
      0.311,
      0.3969,
      0.3274,
      0.3884,
      0.3036,
      0.312,
      0.1862,
      0.2998,
      0.3935,
      0.2318,
      0.3129,
      0.3663,
      0.1984,
      0.3054,
      0.332,
      0.4034,
      0.2819,
      0.2699,
      0.1977,
      0.3236,
      0.3477,
      0.4003,
      0.2479,
      0.3208,
      0.3329,
      0.3854,
      0.335,
      0.3727,
      0.4001,
      0.2852,
      0.3166,
      0.297,
      0.3952,
      0.4085,
      0.3103,
      0.3756,
      0.4281,
      0.3525,
      0.4704,
      0.4632,
      0.3585,
      0.2723,
      0.3439,
      0.3388,
      0.227,
      0.3306,
      0.3348,
      0.2398,
      0.4275,
      0.3098,
      0.363,
      0.4601,
      0.3804,
      0.4099,
      0.3086,
      0.355,
      0.3447,
      0.2952,
      0.2073,
      0.1448,
      0.2752,
      0.4044,
      0.1671,
      0.4191,
      0.3009,
      0.3644,
      0.4155,
      0.3876,
      0.3194,
      0.2198,
      0.2321,
      0.157,
      0.1783,
      0.2766,
      0.0988,
      0.0085,
      0.2536,
      0.112,
      0.1925,
      0.0668,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2197,
      0.2507,
      0.074,
      0.1881,
      0.0802,
      0.0693,
      0.2243,
      0.2831,
      0.2192,
      0.156,
      0,
      0.2982,
      0.1442,
      0.1568,
      0.4498,
      0.2036,
      0.2313,
      0.1121,
      0.1267,
      0.3704,
      0.044,
      0.0752,
      0,
      0,
      0.3729,
      0.0557,
      0.396,
      0.0097,
      0.1274,
      0.3095,
      0.2512,
      0.2612,
      0.2976,
      0.2782,
      0.369,
      0.2515,
      0.2998,
      0.3198,
      0.3448,
      0.3964,
      0.3011,
      0.2896,
      0.206,
      0.3904,
      0.2483,
      0.3487,
      0.1473,
      0.2121,
      0.344,
      0.4533,
      0.2866,
      0.2744,
      0.2539,
      0.2795,
      0.3762,
      0.3355,
      0.1335,
      0.1014,
      0.2882,
      0.3135,
      0.2481,
      0.27,
      0.384,
      0.1386,
      0.3088,
      0.4461,
      0.2656,
      0.3574,
      0.3847,
      0.3057,
      0.2425,
      0.2827,
      0.2085,
      0.2236,
      0.1551,
      0.1305,
      0.2466,
      0.2904,
      0.4248,
      0.32,
      0.2694,
      0.3477,
      0.4068,
      0.2575,
      0.3669,
      0.14,
      0.3357,
      0.2867,
      0.23,
      0.3554,
      0.3179,
      0.4276,
      0.4103,
      0.4708,
      0.3566,
      0.2691,
      0.3189,
      0.2579,
      0.3199,
      0.2811,
      0.002,
      0.0915,
      0.0616,
      0.3882,
      0.3355,
      0.232,
      0.1136,
      0.1251,
      0.0757,
      0.2012,
      0.235,
      0.0657,
      0,
      0.3608,
      0.3812,
      0.3162,
      0.4011,
      0.1491,
      0.1978,
      0.1012,
      0.263,
      0.207,
      0.3026,
      0.2487,
      0.3635,
      0.1651,
      0.4333,
      0.397,
      0.3361,
      0.3042,
      0.2602,
      0.2529,
      0.1988,
      0.2205,
      0.2508,
      0.1109,
      0.4027,
      0.3554,
      0.2969,
      0.3032,
      0.3977,
      0.2505,
      0.2198,
      0.1648,
      0.148,
      0.3799,
      0.1748,
      0.3072,
      0.3884,
      0.4272,
      0.2536,
      0.1847,
      0.2721,
      0.246,
      0.204,
      0.3085,
      0.2791,
      0.3173,
      0.1913,
      0.3399,
      0.4422,
      0.3369,
      0.3232,
      0.2778,
      0.4165,
      0.2383,
      0.51,
      0.3557,
      0.2389,
      0.4775,
      0.4209,
      0.3856,
      0.3643,
      0.46,
      0.4524,
      0.3911,
      0.3753,
      0.2645,
      0.2852,
      0.4098,
      0.1784,
      0.4381,
      0.3565,
      0.1995,
      0.2545,
      0.4307,
      0.2903,
      0.3177,
      0.3758,
      0.257,
      0.2121,
      0.3604,
      0.2753,
      0.2366,
      0.2206,
      0.2058,
      0.2654,
      0.2436,
      0.4253,
      0.2961,
      0.3324,
      0.3073,
      0.3461,
      0.2759,
      0.3562,
      0.3758,
      0.2191,
      0.2935,
      0.2864,
      0.2937,
      0.0989,
      0.3343,
      0.4439,
      0.2774,
      0.422,
      0.3849,
      0.3357,
      0.2044,
      0.2587,
      0.387,
      0.2967,
      0.351,
      0.3061,
      0.3078,
      0.3886,
      0.4712,
      0.4448,
      0.2671,
      0.2109,
      0.3097,
      0.2764,
      0.2555,
      0.4044,
      0.3627,
      0.3363,
      0.4037,
      0.368,
      0.3084,
      0.4365,
      0.3491,
      0.4131,
      0.3669,
      0.3332,
      0.346,
      0.3018,
      0.2057,
      0.3242,
      0.3943,
      0.3158,
      0.3422,
      0.4944,
      0.4085,
      0.3236,
      0.3353,
      0.3815,
      0.2778,
      0.2897,
      0.3049,
      0.2748,
      0.4029,
      0.3175,
      0.356,
      0.4366,
      0.3443,
      0.3551,
      0.2457,
      0.3961,
      0.4011,
      0.3487,
      0.2647,
      0.2704,
      0.2598,
      0.4402,
      0.1459,
      0.3701,
      0.3996,
      0.3734,
      0.3977,
      0.4921,
      0.3095,
      0.2805,
      0.122,
      0.1619,
      0.143,
      0.3429,
      0.1396,
      0.0679,
      0.2736,
      0.2374,
      0.1868,
      0.138,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1688,
      0.1313,
      0.1118,
      0.1505,
      0.1805,
      0.0863,
      0.1608,
      0.3105,
      0.1807,
      0.1709,
      0,
      0.1607,
      0.2119,
      0.2646,
      0.3793,
      0.2257,
      0.1915,
      0.1455,
      0.1483,
      0.3664,
      0.1188,
      0.0558,
      0,
      0.0069,
      0.3224,
      0.0995,
      0.4996,
      0.0627,
      0.111,
      0.3564,
      0.2971,
      0.2212,
      0.2858,
      0.269,
      0.398,
      0.3947,
      0.2661,
      0.3929,
      0.482,
      0.3251,
      0.3353,
      0.3054,
      0.2196,
      0.4093,
      0.3009,
      0.3126,
      0.1354,
      0.2245,
      0.3844,
      0.3774,
      0.3344,
      0.2056,
      0.3247,
      0.2957,
      0.3323,
      0.3391,
      0.1578,
      0.1614,
      0.2675,
      0.3783,
      0.25,
      0.2493,
      0.3292,
      0.1729,
      0.3386,
      0.4727,
      0.2224,
      0.4812,
      0.3391,
      0.126,
      0.1343,
      0.2427,
      0.1946,
      0.2347,
      0.1355,
      0.0872,
      0.2707,
      0.3145,
      0.3252,
      0.2706,
      0.1325,
      0.3609,
      0.5,
      0.28,
      0.4402,
      0.1651,
      0.2885,
      0.1946,
      0.203,
      0.3309,
      0.255,
      0.4156,
      0.3972,
      0.3916,
      0.3719,
      0.2757,
      0.3228,
      0.2904,
      0.2661,
      0.2683,
      0.0899,
      0.1433,
      0.048,
      0.3516,
      0.3385,
      0.2386,
      0.1983,
      0.1816,
      0.0604,
      0.2714,
      0.2313,
      0.096,
      0.044,
      0.4139,
      0.4114,
      0.34,
      0.4083,
      0.2207,
      0.2147,
      0.1562,
      0.271,
      0.2802,
      0.3052,
      0.3178,
      0.3549,
      0.2617,
      0.3758,
      0.4119,
      0.3897,
      0.3241,
      0.2739,
      0.2481,
      0.2448,
      0.1605,
      0.1808,
      0.0942,
      0.3182,
      0.4273,
      0.3488,
      0.3495,
      0.3325,
      0.3164,
      0.2344,
      0.2118,
      0.1443,
      0.484,
      0.1369,
      0.3587,
      0.4311,
      0.3444,
      0.3129,
      0.2133,
      0.1779,
      0.1982,
      0.2325,
      0.1974,
      0.2252,
      0.3154,
      0.3131,
      0.3735,
      0.3793,
      0.4284,
      0.3658,
      0.3184,
      0.4625,
      0.2093,
      0.5354,
      0.3919,
      0.2815,
      0.4242,
      0.4119,
      0.387,
      0.424,
      0.4183,
      0.4081,
      0.353,
      0.4057,
      0.2697,
      0.2831,
      0.3837,
      0.1951,
      0.5142,
      0.4197,
      0.2792,
      0.1825,
      0.4237,
      0.3483,
      0.3652,
      0.3303,
      0.2975,
      0.4273,
      0.4201,
      0.2318,
      0.2449,
      0.3515,
      0.176,
      0.2812,
      0.3756,
      0.2887,
      0.1931,
      0.2958,
      0.3496,
      0.2701,
      0.3003,
      0.271,
      0.4119,
      0.1692,
      0.2893,
      0.3162,
      0.2877,
      0.0723,
      0.3217,
      0.457,
      0.3355,
      0.3389,
      0.3932,
      0.319,
      0.2114,
      0.2313,
      0.3275,
      0.4249,
      0.394,
      0.3258,
      0.3317,
      0.4147,
      0.4652,
      0.3926,
      0.2334,
      0.1891,
      0.3772,
      0.389,
      0.4517,
      0.4532,
      0.399,
      0.3278,
      0.3804,
      0.4129,
      0.4658,
      0.4139,
      0.4089,
      0.3948,
      0.3627,
      0.3237,
      0.3842,
      0.3513,
      0.2609,
      0.3927,
      0.4114,
      0.3536,
      0.3349,
      0.4602,
      0.3951,
      0.2551,
      0.2449,
      0.3698,
      0.1636,
      0.2883,
      0.2614,
      0.1994,
      0.4271,
      0.4205,
      0.4098,
      0.4316,
      0.4276,
      0.418,
      0.1708,
      0.2965,
      0.3605,
      0.3469,
      0.2136,
      0.2299,
      0.2241,
      0.3656,
      0.2152,
      0.5123,
      0.4548,
      0.4921,
      0.4717,
      0.4176,
      0.357,
      0.1938,
      0.2272,
      0.1463,
      0.1953,
      0.2112,
      0,
      0.0459,
      0.232,
      0.223,
      0.1289,
      0.0714,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1777,
      0.2273,
      0.1258,
      0.1748,
      0.0939,
      0,
      0.2403,
      0.2887,
      0.2611,
      0.1457,
      0.0285,
      0.2293,
      0.2307,
      0.0919,
      0.3903,
      0.1247,
      0.2356,
      0.1052,
      0.1417,
      0.3396,
      0.0779,
      0.0679,
      0,
      0.0449,
      0.3687,
      0.0861,
      0.4231,
      0.0213,
      0.2009,
      0.3189,
      0.1984,
      0.2597,
      0.2597,
      0.1895,
      0.2589,
      0.352,
      0.2241,
      0.5429,
      0.4215,
      0.3168,
      0.2506,
      0.305,
      0.2413,
      0.432,
      0.3228,
      0.2843,
      0.1459,
      0.243,
      0.4455,
      0.3919,
      0.3108,
      0.2479,
      0.1997,
      0.3018,
      0.4076,
      0.2682,
      0.1588,
      0.1738,
      0.2478,
      0.4218,
      0.2669,
      0.2514,
      0.2678,
      0.1537,
      0.3724,
      0.4913,
      0.2861,
      0.4808,
      0.3692,
      0.0873,
      0.0518,
      0.2077,
      0.2002,
      0.2035,
      0.1317,
      0.0948,
      0.2926,
      0.3525,
      0.3666,
      0.2777,
      0.1636,
      0.4436,
      0.5273,
      0.2334,
      0.4643,
      0.1237,
      0.238,
      0.0993,
      0.1388,
      0.3517,
      0.2087,
      0.3825,
      0.38,
      0.4159,
      0.3359,
      0.2289,
      0.3124,
      0.291,
      0.2657,
      0.2591,
      0.0691,
      0.1625,
      0.0409,
      0.4411,
      0.3527,
      0.2459,
      0.1408,
      0.1448,
      0.0193,
      0.197,
      0.2379,
      0.0995,
      0.0187,
      0.3684,
      0.3911,
      0.2863,
      0.4017,
      0.2047,
      0.25,
      0.0697,
      0.2714,
      0.3149,
      0.3543,
      0.31,
      0.2585,
      0.1812,
      0.4189,
      0.402,
      0.1767,
      0.2322,
      0.1894,
      0.1544,
      0.2061,
      0.1888,
      0.2055,
      0,
      0.3258,
      0.4141,
      0.2805,
      0.3021,
      0.1998,
      0.4716,
      0.2126,
      0.1487,
      0.1711,
      0.4766,
      0.0474,
      0.3819,
      0.3995,
      0.2679,
      0.269,
      0.0804,
      0.1421,
      0.1794,
      0.1991,
      0.2573,
      0.1811,
      0.3309,
      0.2048,
      0.3483,
      0.3816,
      0.3438,
      0.3562,
      0.2488,
      0.4073,
      0.1816,
      0.4051,
      0.3074,
      0.3149,
      0.4254,
      0.4003,
      0.4003,
      0.3977,
      0.321,
      0.4731,
      0.2645,
      0.398,
      0.2225,
      0.2212,
      0.2648,
      0.217,
      0.4843,
      0.4449,
      0.3666,
      0.1632,
      0.3102,
      0.241,
      0.3568,
      0.3493,
      0.3157,
      0.3195,
      0.4091,
      0.2446,
      0.0517,
      0.3953,
      0.1969,
      0.1877,
      0.3667,
      0.2204,
      0.2464,
      0.244,
      0.3393,
      0.2761,
      0.1726,
      0.2713,
      0.3813,
      0.1999,
      0.3369,
      0.3186,
      0.3425,
      0.0854,
      0.3755,
      0.4573,
      0.3274,
      0.318,
      0.3364,
      0.3718,
      0.3643,
      0.2056,
      0.3353,
      0.2552,
      0.3588,
      0.3064,
      0.3219,
      0.3711,
      0.4768,
      0.4161,
      0.2507,
      0.2798,
      0.4194,
      0.3669,
      0.4289,
      0.3692,
      0.4446,
      0.3943,
      0.387,
      0.4156,
      0.4603,
      0.5164,
      0.3969,
      0.3707,
      0.2742,
      0.2859,
      0.3881,
      0.3037,
      0.2099,
      0.3679,
      0.4428,
      0.3565,
      0.3278,
      0.4476,
      0.4019,
      0.3286,
      0.2383,
      0.2406,
      0.1577,
      0.3217,
      0.3,
      0.2335,
      0.3847,
      0.3937,
      0.4112,
      0.4753,
      0.3233,
      0.3422,
      0.2041,
      0.3338,
      0.3766,
      0.2231,
      0.2123,
      0.2648,
      0.2203,
      0.3426,
      0.1675,
      0.4963,
      0.3213,
      0.4339,
      0.4119,
      0.3784,
      0.3049,
      0.1726,
      0.1799,
      0.1586,
      0.1341,
      0.1897,
      0.067,
      0.0616,
      0.1866,
      0.1956,
      0.117,
      0.0282,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1051,
      0.1419,
      0.0897,
      0.1722,
      0.122,
      0.0272,
      0.2072,
      0.2351,
      0.2187,
      0.095,
      0.0541,
      0.2037,
      0.3298,
      0.0723,
      0.3915,
      0.1511,
      0.2394,
      0.1672,
      0.2176,
      0.3721,
      0.1068,
      0.2164,
      0,
      0,
      0.4719,
      0.1081,
      0.3463,
      0,
      0.1222,
      0.3439,
      0.2759,
      0.3294,
      0.288,
      0.1897,
      0.3631,
      0.2844,
      0.2512,
      0.5766,
      0.3187,
      0.3493,
      0.2505,
      0.2946,
      0.3286,
      0.3976,
      0.3549,
      0.2494,
      0.0426,
      0.1936,
      0.4014,
      0.377,
      0.3442,
      0.3125,
      0.2144,
      0.2875,
      0.3585,
      0.2703,
      0.1679,
      0.1454,
      0.2587,
      0.3743,
      0.2153,
      0.3307,
      0.3165,
      0.1169,
      0.3878,
      0.4456,
      0.2851,
      0.4746,
      0.3324,
      0.1595,
      0.1843,
      0.1846,
      0.2001,
      0.2161,
      0.0386,
      0.1196,
      0.265,
      0.3572,
      0.2691,
      0.2897,
      0.2364,
      0.396,
      0.5389,
      0.2665,
      0.4403,
      0.1653,
      0.1662,
      0.0915,
      0.1304,
      0.2971,
      0.2775,
      0.382,
      0.4054,
      0.4579,
      0.2624,
      0.2489,
      0.3256,
      0.2675,
      0.2934,
      0.2367,
      0.0993,
      0.1065,
      0.0226,
      0.4036,
      0.2384,
      0.1939,
      0.1855,
      0.0972,
      0.0794,
      0.1713,
      0.238,
      0.0459,
      0,
      0.385,
      0.3856,
      0.2763,
      0.4058,
      0.065,
      0.2215,
      0.1211,
      0.2529,
      0.3199,
      0.3506,
      0.2373,
      0.2437,
      0.2193,
      0.4113,
      0.3903,
      0.3343,
      0.266,
      0.2266,
      0.151,
      0.2952,
      0.1468,
      0.1054,
      0.0266,
      0.3566,
      0.4156,
      0.2899,
      0.3086,
      0.3001,
      0.5903,
      0.1622,
      0.1267,
      0.241,
      0.42,
      0.1663,
      0.343,
      0.3607,
      0.3305,
      0.296,
      0.1542,
      0.1609,
      0.1784,
      0.2507,
      0.2765,
      0.2847,
      0.2605,
      0.2154,
      0.4326,
      0.4563,
      0.401,
      0.307,
      0.2656,
      0.3597,
      0.1426,
      0.5171,
      0.4166,
      0.3221,
      0.4698,
      0.3692,
      0.3678,
      0.3399,
      0.4157,
      0.4017,
      0.2513,
      0.371,
      0.2455,
      0.3316,
      0.2564,
      0.2199,
      0.3329,
      0.3832,
      0.354,
      0.3037,
      0.3744,
      0.2679,
      0.3617,
      0.4162,
      0.3868,
      0.3926,
      0.3939,
      0.3132,
      0.1198,
      0.3858,
      0.1197,
      0.2239,
      0.2537,
      0.2087,
      0.2557,
      0.302,
      0.3054,
      0.3264,
      0.1721,
      0.2669,
      0.254,
      0.2208,
      0.3865,
      0.3047,
      0.2675,
      0.0493,
      0.3414,
      0.4702,
      0.2838,
      0.3147,
      0.2503,
      0.349,
      0.3427,
      0.1982,
      0.3709,
      0.3882,
      0.3826,
      0.3321,
      0.2645,
      0.3994,
      0.44,
      0.4437,
      0.2257,
      0.2496,
      0.3543,
      0.3429,
      0.4178,
      0.3483,
      0.4825,
      0.4222,
      0.3858,
      0.4539,
      0.465,
      0.54,
      0.3659,
      0.4061,
      0.3423,
      0.4264,
      0.3854,
      0.3498,
      0.2625,
      0.3336,
      0.2923,
      0.3725,
      0.378,
      0.4344,
      0.3519,
      0.3426,
      0.3402,
      0.3521,
      0.2613,
      0.2858,
      0.321,
      0.2148,
      0.4058,
      0.3802,
      0.4278,
      0.4213,
      0.292,
      0.3736,
      0.2649,
      0.3686,
      0.4877,
      0.3263,
      0.2552,
      0.252,
      0.2862,
      0.3214,
      0.1653,
      0.358,
      0.2872,
      0.417,
      0.4712,
      0.2959,
      0.3274,
      0.2326,
      0.2509,
      0.1398,
      0.121,
      0.2743,
      0.0875,
      0.0784,
      0.1573,
      0.1572,
      0.1659,
      0.0048,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0842,
      0.1393,
      0.1429,
      0.1926,
      0.0622,
      0.095,
      0.2549,
      0.1871,
      0.1087,
      0.183,
      0,
      0.2641,
      0.2453,
      0.1376,
      0.4017,
      0.1537,
      0.3123,
      0.1984,
      0.2001,
      0.417,
      0.1374,
      0.2212,
      0,
      0,
      0.3508,
      0.0853,
      0.3437,
      0.0063,
      0.1159,
      0.3255,
      0.3016,
      0.1884,
      0.297,
      0.1779,
      0.34,
      0.3236,
      0.1062,
      0.4052,
      0.2833,
      0.2658,
      0.3192,
      0.2882,
      0.3099,
      0.441,
      0.3054,
      0.3489,
      0.1126,
      0.2566,
      0.3914,
      0.4128,
      0.2303,
      0.2563,
      0.1731,
      0.3163,
      0.2768,
      0.2578,
      0.1561,
      0.0938,
      0.25,
      0.3067,
      0.232,
      0.2875,
      0.285,
      0.1576,
      0.3913,
      0.4205,
      0.1616,
      0.3758,
      0.379,
      0.2506,
      0.2083,
      0.1799,
      0.2368,
      0.2649,
      0.1007,
      0.1345,
      0.1676,
      0.3564,
      0.3606,
      0.296,
      0.2297,
      0.3546,
      0.4603,
      0.2536,
      0.4462,
      0.0944,
      0.1367,
      0.1741,
      0.2448,
      0.3521,
      0.2225,
      0.3889,
      0.3858,
      0.482,
      0.3634,
      0.3025,
      0.3318,
      0.2169,
      0.3224,
      0.2175,
      0.1245,
      0.1406,
      0.0353,
      0.4043,
      0.3884,
      0.1779,
      0.0832,
      0.1164,
      0.1671,
      0.2119,
      0.2554,
      0.2388,
      0.0397,
      0.3131,
      0.4193,
      0.3311,
      0.4496,
      0.1827,
      0.2395,
      0.1246,
      0.2732,
      0.3034,
      0.3229,
      0.2731,
      0.2671,
      0.2478,
      0.4571,
      0.3865,
      0.3294,
      0.2389,
      0.3117,
      0.1133,
      0.2144,
      0.1608,
      0.0878,
      0.038,
      0.2688,
      0.3931,
      0.1869,
      0.3503,
      0.246,
      0.5329,
      0.1724,
      0.2049,
      0.1868,
      0.372,
      0.1714,
      0.2801,
      0.2713,
      0.302,
      0.2264,
      0.278,
      0.1786,
      0.1906,
      0.2155,
      0.2093,
      0.299,
      0.3277,
      0.3091,
      0.3901,
      0.3736,
      0.3055,
      0.3572,
      0.2841,
      0.2867,
      0.216,
      0.5187,
      0.375,
      0.4262,
      0.415,
      0.364,
      0.4266,
      0.4081,
      0.4355,
      0.3926,
      0.3005,
      0.3552,
      0.2565,
      0.3073,
      0.2809,
      0.2788,
      0.3525,
      0.3217,
      0.3376,
      0.36,
      0.2856,
      0.2996,
      0.385,
      0.3642,
      0.4065,
      0.3257,
      0.3689,
      0.224,
      0.2325,
      0.2666,
      0.2645,
      0.1927,
      0.2251,
      0.2751,
      0.1999,
      0.3724,
      0.4235,
      0.2808,
      0.1649,
      0.2681,
      0.2658,
      0.1868,
      0.3106,
      0.2536,
      0.3064,
      0.0987,
      0.2959,
      0.497,
      0.2696,
      0.3249,
      0.3008,
      0.3035,
      0.2702,
      0.263,
      0.2716,
      0.3464,
      0.342,
      0.42,
      0.303,
      0.3066,
      0.3877,
      0.4371,
      0.1794,
      0.2899,
      0.2516,
      0.3281,
      0.4859,
      0.3717,
      0.344,
      0.3753,
      0.2634,
      0.3761,
      0.4743,
      0.4287,
      0.4353,
      0.4115,
      0.2937,
      0.5155,
      0.4204,
      0.4312,
      0.2504,
      0.3179,
      0.2773,
      0.3759,
      0.338,
      0.4653,
      0.3382,
      0.3108,
      0.3773,
      0.3846,
      0.3189,
      0.3096,
      0.2157,
      0.2004,
      0.4314,
      0.3665,
      0.3849,
      0.4376,
      0.3721,
      0.2821,
      0.2242,
      0.4008,
      0.361,
      0.3683,
      0.2536,
      0.3045,
      0.2951,
      0.3128,
      0.1311,
      0.3028,
      0.302,
      0.4452,
      0.4481,
      0.2806,
      0.3583,
      0.1992,
      0.2034,
      0.1271,
      0.0938,
      0.1822,
      0.0987,
      0.0928,
      0.2399,
      0.0853,
      0.1782,
      0.1068,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0988,
      0.236,
      0.2191,
      0.1986,
      0.0635,
      0.0731,
      0.1091,
      0.1776,
      0.0898,
      0.1419,
      0,
      0.246,
      0.2124,
      0.2115,
      0.4732,
      0.226,
      0.2056,
      0.1265,
      0.2346,
      0.3832,
      0.153,
      0.1248,
      0,
      0,
      0.3106,
      0.0039,
      0.3412,
      0,
      0.183,
      0.1771,
      0.2315,
      0.2361,
      0.2249,
      0.1173,
      0.3472,
      0.3282,
      0.2247,
      0.379,
      0.2876,
      0.3757,
      0.354,
      0.4159,
      0.3092,
      0.4199,
      0.2437,
      0.3359,
      0.1386,
      0.2339,
      0.3556,
      0.3621,
      0.1642,
      0.2801,
      0.2737,
      0.3111,
      0.2902,
      0.2216,
      0.1911,
      0.0954,
      0.2388,
      0.2926,
      0.2644,
      0.2884,
      0.2978,
      0.2005,
      0.3719,
      0.3514,
      0.2828,
      0.4015,
      0.3544,
      0.213,
      0.347,
      0.2171,
      0.2056,
      0.2686,
      0.1352,
      0.105,
      0.1919,
      0.3328,
      0.3524,
      0.3655,
      0.237,
      0.4015,
      0.4858,
      0.2531,
      0.453,
      0.2115,
      0.2237,
      0.2348,
      0.2695,
      0.3584,
      0.2712,
      0.4422,
      0.3748,
      0.4528,
      0.3529,
      0.3478,
      0.3497,
      0.2991,
      0.2905,
      0.2525,
      0.0686,
      0.1442,
      0.0231,
      0.353,
      0.294,
      0.205,
      0.1334,
      0.1631,
      0.113,
      0.2376,
      0.2811,
      0.2358,
      0,
      0.2334,
      0.4471,
      0.2648,
      0.417,
      0.1902,
      0.2246,
      0.0915,
      0.2899,
      0.2673,
      0.2606,
      0.1748,
      0.2668,
      0.2034,
      0.3655,
      0.3939,
      0.2816,
      0.2199,
      0.3247,
      0.1107,
      0.1508,
      0.1636,
      0.1797,
      0.0993,
      0.2105,
      0.3884,
      0.2063,
      0.3458,
      0.2623,
      0.3844,
      0.3018,
      0.2404,
      0.2477,
      0.3709,
      0.2204,
      0.2772,
      0.3103,
      0.3307,
      0.3365,
      0.2825,
      0.2677,
      0.1993,
      0.2288,
      0.1939,
      0.2744,
      0.303,
      0.2757,
      0.3812,
      0.3839,
      0.3077,
      0.3579,
      0.375,
      0.3756,
      0.2061,
      0.4207,
      0.3209,
      0.2481,
      0.3,
      0.3508,
      0.3672,
      0.4311,
      0.4175,
      0.3266,
      0.2953,
      0.306,
      0.2853,
      0.2914,
      0.2891,
      0.2504,
      0.3068,
      0.3852,
      0.3055,
      0.4055,
      0.2691,
      0.2576,
      0.3598,
      0.4202,
      0.4307,
      0.3176,
      0.5087,
      0.2572,
      0.1863,
      0.3036,
      0.1914,
      0.2758,
      0.3484,
      0.3783,
      0.2068,
      0.3476,
      0.3453,
      0.2839,
      0.2579,
      0.3151,
      0.3133,
      0.216,
      0.3482,
      0.2124,
      0.2523,
      0.1001,
      0.2813,
      0.4666,
      0.2523,
      0.3477,
      0.3313,
      0.3233,
      0.2563,
      0.2496,
      0.3298,
      0.321,
      0.2681,
      0.369,
      0.3136,
      0.3782,
      0.3645,
      0.3645,
      0.2542,
      0.3082,
      0.2588,
      0.3925,
      0.4727,
      0.4205,
      0.3576,
      0.4439,
      0.3563,
      0.4039,
      0.4267,
      0.4549,
      0.5081,
      0.3832,
      0.3142,
      0.4709,
      0.4303,
      0.4489,
      0.2538,
      0.2865,
      0.298,
      0.269,
      0.3738,
      0.4023,
      0.4318,
      0.296,
      0.3243,
      0.3552,
      0.3219,
      0.3153,
      0.3036,
      0.3327,
      0.4623,
      0.3185,
      0.3592,
      0.444,
      0.311,
      0.3449,
      0.345,
      0.3349,
      0.4107,
      0.3841,
      0.2828,
      0.3011,
      0.2453,
      0.3848,
      0.1974,
      0.3222,
      0.3313,
      0.4423,
      0.4125,
      0.2322,
      0.3653,
      0.2789,
      0.3015,
      0.1588,
      0.1702,
      0.1906,
      0.0439,
      0.0825,
      0.1778,
      0.1044,
      0.1899,
      0.2319,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0762,
      0.1949,
      0.114,
      0.1049,
      0.1172,
      0.1115,
      0.126,
      0.1692,
      0.0699,
      0.0706,
      0,
      0.1683,
      0.2376,
      0.0645,
      0.4747,
      0.2309,
      0.1666,
      0.0993,
      0.1824,
      0.3531,
      0.098,
      0.1629,
      0,
      0.0057,
      0.34,
      0.1548,
      0.3772,
      0,
      0.146,
      0.2466,
      0.264,
      0.2953,
      0.1747,
      0.2411,
      0.312,
      0.3214,
      0.2818,
      0.2997,
      0.3203,
      0.3222,
      0.3327,
      0.3787,
      0.2149,
      0.4238,
      0.1746,
      0.3213,
      0.1792,
      0.2785,
      0.3212,
      0.4006,
      0.2286,
      0.1975,
      0.2373,
      0.249,
      0.339,
      0.275,
      0.1103,
      0.1049,
      0.2873,
      0.2797,
      0.2714,
      0.2404,
      0.3389,
      0.2107,
      0.3134,
      0.3537,
      0.2745,
      0.4692,
      0.3503,
      0.2253,
      0.2087,
      0.2382,
      0.1491,
      0.1749,
      0.0624,
      0.1475,
      0.2281,
      0.3603,
      0.2742,
      0.2572,
      0.2144,
      0.4394,
      0.5833,
      0.2187,
      0.3941,
      0.0527,
      0.2609,
      0.2541,
      0.1998,
      0.3825,
      0.199,
      0.4475,
      0.4517,
      0.484,
      0.3892,
      0.2242,
      0.3778,
      0.2821,
      0.475,
      0.3014,
      0.0705,
      0.1406,
      0.0551,
      0.3439,
      0.3696,
      0.1662,
      0.0699,
      0.1207,
      0.0906,
      0.2288,
      0.2869,
      0.1377,
      0.0076,
      0.2603,
      0.4207,
      0.2776,
      0.4012,
      0.1952,
      0.2542,
      0.1396,
      0.2919,
      0.3288,
      0.329,
      0.232,
      0.2645,
      0.2194,
      0.3655,
      0.33,
      0.3668,
      0.298,
      0.2568,
      0.1621,
      0.1694,
      0.1973,
      0.1755,
      0.0703,
      0.2722,
      0.4092,
      0.2194,
      0.3249,
      0.2652,
      0.1906,
      0.3366,
      0.2146,
      0.2508,
      0.362,
      0.2352,
      0.319,
      0.3562,
      0.3258,
      0.2959,
      0.2004,
      0.2538,
      0.2158,
      0.0695,
      0.3528,
      0.2607,
      0.3511,
      0.2606,
      0.3727,
      0.4008,
      0.3879,
      0.3556,
      0.3564,
      0.3872,
      0.1471,
      0.5024,
      0.3532,
      0.3055,
      0.4089,
      0.3795,
      0.4238,
      0.3862,
      0.4169,
      0.3935,
      0.2945,
      0.3356,
      0.2495,
      0.3084,
      0.2356,
      0.1789,
      0.2596,
      0.4266,
      0.2364,
      0.2072,
      0.2846,
      0.2835,
      0.4458,
      0.3975,
      0.4257,
      0.4181,
      0.4299,
      0.2932,
      0.195,
      0.2611,
      0.2553,
      0.2119,
      0.3177,
      0.4719,
      0.1961,
      0.2329,
      0.3529,
      0.3123,
      0.2612,
      0.2763,
      0.3025,
      0.1519,
      0.3825,
      0.2958,
      0.1948,
      0.1295,
      0.1557,
      0.3997,
      0.2385,
      0.2985,
      0.4366,
      0.324,
      0.2611,
      0.2612,
      0.3158,
      0.3319,
      0.2826,
      0.3403,
      0.3795,
      0.3868,
      0.3984,
      0.35,
      0.2287,
      0.2785,
      0.2924,
      0.3016,
      0.4262,
      0.4187,
      0.3268,
      0.4369,
      0.3136,
      0.4012,
      0.3918,
      0.4945,
      0.4808,
      0.3672,
      0.2802,
      0.4184,
      0.4779,
      0.3106,
      0.3336,
      0.3596,
      0.2699,
      0.2712,
      0.3592,
      0.5091,
      0.3751,
      0.3518,
      0.3121,
      0.3255,
      0.3049,
      0.2903,
      0.2911,
      0.2171,
      0.4573,
      0.3511,
      0.4176,
      0.3615,
      0.2877,
      0.4112,
      0.4217,
      0.3737,
      0.3753,
      0.3484,
      0.2722,
      0.2597,
      0.2782,
      0.3266,
      0.1694,
      0.2455,
      0.3584,
      0.4251,
      0.3906,
      0.3048,
      0.4611,
      0.174,
      0.2973,
      0.0718,
      0.2164,
      0.3991,
      0,
      0.0466,
      0.2102,
      0.1191,
      0.2092,
      0.2578,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0656,
      0.2935,
      0,
      0.1894,
      0.1361,
      0.0592,
      0.1365,
      0.3152,
      0.0867,
      0.1381,
      0.0019,
      0.1687,
      0.2678,
      0.2417,
      0.4054,
      0.2039,
      0.1142,
      0.208,
      0.1882,
      0.3904,
      0.0774,
      0.0852,
      0,
      0,
      0.3638,
      0.0518,
      0.4152,
      0.0264,
      0.1539,
      0.2971,
      0.3166,
      0.2688,
      0.1887,
      0.1861,
      0.3869,
      0.3209,
      0.3481,
      0.2987,
      0.3347,
      0.2298,
      0.3122,
      0.4067,
      0.3534,
      0.4355,
      0.2779,
      0.3524,
      0.1374,
      0.1659,
      0.3359,
      0.4591,
      0.3086,
      0.28,
      0.17,
      0.3125,
      0.3367,
      0.2915,
      0.1401,
      0.117,
      0.3178,
      0.3085,
      0.2518,
      0.2561,
      0.3957,
      0.1759,
      0.3017,
      0.4965,
      0.2916,
      0.4727,
      0.4104,
      0.278,
      0.2575,
      0.2666,
      0.1727,
      0.1634,
      0.1062,
      0.1443,
      0.2329,
      0.3882,
      0.2757,
      0.2907,
      0.2304,
      0.4599,
      0.6195,
      0.2987,
      0.3412,
      0.2815,
      0.2555,
      0.1907,
      0.1528,
      0.3843,
      0.24,
      0.416,
      0.4469,
      0.5087,
      0.3203,
      0.2916,
      0.3957,
      0.2689,
      0.3027,
      0.2796,
      0.1474,
      0.1493,
      0.1059,
      0.3853,
      0.3948,
      0.224,
      0.1327,
      0.1311,
      0.0493,
      0.2776,
      0.2754,
      0.0008,
      0.0275,
      0.3863,
      0.4543,
      0.2935,
      0.3633,
      0.2092,
      0.2716,
      0.1814,
      0.3237,
      0.251,
      0.3627,
      0.2409,
      0.2689,
      0.2231,
      0.3862,
      0.3157,
      0.3877,
      0.2945,
      0.265,
      0.2195,
      0.2749,
      0.2138,
      0.1864,
      0.0613,
      0.319,
      0.3986,
      0.3142,
      0.3971,
      0.2886,
      0.2206,
      0.245,
      0.2196,
      0.2749,
      0.3945,
      0.3207,
      0.2535,
      0.3008,
      0.2975,
      0.2302,
      0.2225,
      0.194,
      0.292,
      0.1407,
      0.2956,
      0.309,
      0.3156,
      0.1939,
      0.348,
      0.3715,
      0.3769,
      0.3545,
      0.3357,
      0.4191,
      0.208,
      0.5186,
      0.4084,
      0.3187,
      0.3954,
      0.374,
      0.4705,
      0.3902,
      0.4683,
      0.4352,
      0.2503,
      0.2474,
      0.2684,
      0.2396,
      0.3381,
      0.1299,
      0.3229,
      0.3427,
      0.2359,
      0.2045,
      0.3718,
      0.2223,
      0.389,
      0.4009,
      0.4118,
      0.478,
      0.4084,
      0.309,
      0.287,
      0.2714,
      0.2164,
      0.2683,
      0.4084,
      0.3504,
      0.2122,
      0.3383,
      0.4004,
      0.2653,
      0.305,
      0.2961,
      0.3544,
      0.1664,
      0.3726,
      0.2826,
      0.2274,
      0.1623,
      0.2585,
      0.4438,
      0.2921,
      0.3135,
      0.4045,
      0.3143,
      0.2641,
      0.3293,
      0.3673,
      0.2922,
      0.3886,
      0.359,
      0.2852,
      0.3495,
      0.4405,
      0.4128,
      0.2441,
      0.2691,
      0.3551,
      0.3987,
      0.4112,
      0.4318,
      0.366,
      0.3839,
      0.3596,
      0.3943,
      0.4529,
      0.5144,
      0.5653,
      0.3669,
      0.3795,
      0.343,
      0.4889,
      0.2815,
      0.3629,
      0.3418,
      0.3115,
      0.3088,
      0.354,
      0.4708,
      0.4057,
      0.2352,
      0.2421,
      0.3272,
      0.3485,
      0.2763,
      0.3514,
      0.2158,
      0.4194,
      0.296,
      0.3808,
      0.4375,
      0.2944,
      0.3166,
      0.2849,
      0.3866,
      0.3179,
      0.5102,
      0.4494,
      0.2706,
      0.2446,
      0.4013,
      0.1032,
      0.2849,
      0.4567,
      0.4437,
      0.4352,
      0.3632,
      0.4026,
      0.1523,
      0.2182,
      0.1609,
      0.1806,
      0.3051,
      0,
      0.0983,
      0.24,
      0.1824,
      0.2277,
      0.1119,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.164,
      0.2119,
      0.0926,
      0.122,
      0.1335,
      0.0879,
      0.1323,
      0.1833,
      0.0895,
      0.0795,
      0.0243,
      0.1994,
      0.154,
      0.1941,
      0.3932,
      0.1468,
      0.1184,
      0.2337,
      0.2066,
      0.3583,
      0.1369,
      0.2291,
      0,
      0,
      0.3896,
      0.0921,
      0.3515,
      0.0422,
      0.1003,
      0.2938,
      0.2908,
      0.2341,
      0.2087,
      0.1794,
      0.3777,
      0.3253,
      0.3289,
      0.2774,
      0.28,
      0.22,
      0.2983,
      0.3654,
      0.2775,
      0.4618,
      0.1901,
      0.4027,
      0.079,
      0.1364,
      0.3444,
      0.419,
      0.2162,
      0.286,
      0.1709,
      0.2458,
      0.348,
      0.3094,
      0.1335,
      0.1112,
      0.3353,
      0.3511,
      0.2264,
      0.2861,
      0.4111,
      0.2112,
      0.3315,
      0.4855,
      0.3088,
      0.3699,
      0.3479,
      0.2773,
      0.2551,
      0.2281,
      0.2065,
      0.1507,
      0.1136,
      0.1061,
      0.294,
      0.3511,
      0.2974,
      0.2705,
      0.1759,
      0.3322,
      0.5509,
      0.322,
      0.3852,
      0.1662,
      0.2681,
      0.0403,
      0.1891,
      0.3517,
      0.2218,
      0.4165,
      0.4328,
      0.4687,
      0.3398,
      0.297,
      0.3549,
      0.2328,
      0.2763,
      0.2894,
      0.1236,
      0.2479,
      0.1023,
      0.3719,
      0.3442,
      0.1882,
      0.158,
      0.0884,
      0.0679,
      0.2441,
      0.2888,
      0.1459,
      0.0076,
      0.3606,
      0.3631,
      0.3075,
      0.424,
      0.172,
      0.2197,
      0.1464,
      0.3293,
      0.2117,
      0.304,
      0.1303,
      0.2631,
      0.247,
      0.4091,
      0.4252,
      0.4481,
      0.3482,
      0.1082,
      0.1877,
      0.3255,
      0.2356,
      0.1619,
      0.1073,
      0.3152,
      0.482,
      0.3092,
      0.3843,
      0.3002,
      0.1882,
      0.189,
      0.2483,
      0.3247,
      0.4084,
      0.3553,
      0.323,
      0.4135,
      0.3483,
      0.2649,
      0.2691,
      0.2026,
      0.2966,
      0.2016,
      0.2668,
      0.2222,
      0.3608,
      0.2342,
      0.3957,
      0.337,
      0.3312,
      0.4077,
      0.3372,
      0.3906,
      0.2036,
      0.5294,
      0.3984,
      0.3281,
      0.3266,
      0.3463,
      0.4881,
      0.3942,
      0.4646,
      0.4494,
      0.2891,
      0.3079,
      0.2613,
      0.2595,
      0.3118,
      0.2556,
      0.447,
      0.3569,
      0.3093,
      0.1822,
      0.3809,
      0.2979,
      0.3509,
      0.3621,
      0.3084,
      0.4986,
      0.3106,
      0.2819,
      0.2651,
      0.2137,
      0.1915,
      0.2408,
      0.2292,
      0.1416,
      0.2226,
      0.2323,
      0.3564,
      0.2769,
      0.1898,
      0.3062,
      0.3872,
      0.1987,
      0.3028,
      0.2505,
      0.2843,
      0.1096,
      0.3352,
      0.412,
      0.2495,
      0.3008,
      0.2414,
      0.3073,
      0.2851,
      0.3143,
      0.3279,
      0.204,
      0.3384,
      0.3623,
      0.2301,
      0.3659,
      0.4434,
      0.4101,
      0.1973,
      0.2951,
      0.3181,
      0.3616,
      0.3515,
      0.3896,
      0.2892,
      0.3932,
      0.3027,
      0.3673,
      0.3558,
      0.4682,
      0.533,
      0.4088,
      0.3081,
      0.2748,
      0.4884,
      0.3073,
      0.4158,
      0.3039,
      0.3334,
      0.3234,
      0.3102,
      0.5079,
      0.2414,
      0.3117,
      0.292,
      0.3968,
      0.309,
      0.2353,
      0.361,
      0.2117,
      0.4177,
      0.2079,
      0.3814,
      0.4583,
      0.3666,
      0.3766,
      0.3374,
      0.3623,
      0.5113,
      0.4203,
      0.3491,
      0.2429,
      0.2463,
      0.4297,
      0.1325,
      0.315,
      0.3357,
      0.3875,
      0.47,
      0.3113,
      0.4019,
      0.2541,
      0.2528,
      0.0781,
      0.2302,
      0.2707,
      0.0591,
      0.0801,
      0.1891,
      0.0575,
      0.2702,
      0.0771,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1633,
      0.2647,
      0.1384,
      0.1107,
      0.115,
      0.1058,
      0.0973,
      0.2488,
      0.1413,
      0.0829,
      0.0236,
      0.1055,
      0.3428,
      0.15,
      0.3672,
      0.1992,
      0.1335,
      0.1926,
      0.2089,
      0.3148,
      0.0687,
      0.2743,
      0,
      0.0819,
      0.3391,
      0.0584,
      0.3435,
      0,
      0.0965,
      0.3,
      0.2884,
      0.2006,
      0.306,
      0.1189,
      0.3793,
      0.2809,
      0.2416,
      0.3467,
      0.3361,
      0.1851,
      0.3007,
      0.3222,
      0.3456,
      0.4383,
      0.2408,
      0.2996,
      0.1084,
      0.1506,
      0.3586,
      0.365,
      0.2715,
      0.2533,
      0.1722,
      0.2976,
      0.3321,
      0.2437,
      0.1595,
      0.0256,
      0.3335,
      0.396,
      0.1627,
      0.242,
      0.2992,
      0.2261,
      0.3914,
      0.3747,
      0.2993,
      0.522,
      0.333,
      0.2963,
      0.3378,
      0.3097,
      0.1811,
      0.187,
      0.0372,
      0.1022,
      0.295,
      0.3234,
      0.2711,
      0.3112,
      0.0987,
      0.3455,
      0.5003,
      0.3025,
      0.3667,
      0.128,
      0.2237,
      0.1776,
      0.1746,
      0.3676,
      0.3233,
      0.4053,
      0.3737,
      0.4143,
      0.3676,
      0.302,
      0.2897,
      0.2302,
      0.3197,
      0.3084,
      0.0776,
      0.4441,
      0.0856,
      0.4218,
      0.4015,
      0.199,
      0.1626,
      0.0637,
      0.0981,
      0.1718,
      0.2881,
      0.1055,
      0.0587,
      0.4054,
      0.3898,
      0.2623,
      0.3672,
      0.095,
      0.2878,
      0.1052,
      0.3269,
      0.3095,
      0.3577,
      0.1871,
      0.3044,
      0.251,
      0.3587,
      0.3061,
      0.3999,
      0.3154,
      0.3121,
      0.2684,
      0.2863,
      0.1886,
      0.2111,
      0.1062,
      0.2973,
      0.4366,
      0.3355,
      0.2604,
      0.2139,
      0.2127,
      0.1899,
      0.2256,
      0.214,
      0.3267,
      0.1899,
      0.2693,
      0.3889,
      0.3279,
      0.3217,
      0.2755,
      0.2363,
      0.2559,
      0.2786,
      0.3182,
      0.2627,
      0.3708,
      0.3015,
      0.356,
      0.4258,
      0.3296,
      0.4128,
      0.3347,
      0.4083,
      0.2336,
      0.468,
      0.4397,
      0.3081,
      0.3288,
      0.3213,
      0.4503,
      0.4429,
      0.4049,
      0.3744,
      0.3286,
      0.3573,
      0.3212,
      0.2791,
      0.3425,
      0.2893,
      0.4775,
      0.3322,
      0.2881,
      0.2403,
      0.2838,
      0.2528,
      0.3001,
      0.3679,
      0.2197,
      0.4591,
      0.3985,
      0.2771,
      0.187,
      0.2414,
      0.1792,
      0.3048,
      0.1812,
      0.1949,
      0.174,
      0.33,
      0.3197,
      0.3022,
      0.2163,
      0.2674,
      0.3143,
      0.2017,
      0.2254,
      0.2802,
      0.295,
      0.1386,
      0.328,
      0.4198,
      0.2301,
      0.2754,
      0.212,
      0.3194,
      0.2841,
      0.2099,
      0.377,
      0.2573,
      0.2865,
      0.3096,
      0.2369,
      0.3868,
      0.4378,
      0.4558,
      0.29,
      0.2754,
      0.2969,
      0.3129,
      0.3333,
      0.3971,
      0.3521,
      0.3621,
      0.2666,
      0.3898,
      0.2804,
      0.4305,
      0.4754,
      0.4646,
      0.3222,
      0.2796,
      0.4247,
      0.3605,
      0.3176,
      0.2567,
      0.2845,
      0.3143,
      0.2694,
      0.4671,
      0.3943,
      0.3592,
      0.3278,
      0.3613,
      0.3071,
      0.3062,
      0.3455,
      0.2717,
      0.3502,
      0.2154,
      0.358,
      0.4013,
      0.3935,
      0.3409,
      0.3886,
      0.3839,
      0.451,
      0.3884,
      0.3324,
      0.2536,
      0.2612,
      0.3362,
      0.1672,
      0.3404,
      0.3325,
      0.3503,
      0.3916,
      0.3253,
      0.3596,
      0.2233,
      0.239,
      0.0889,
      0.1917,
      0.1437,
      0.0633,
      0.0272,
      0.2293,
      0.1985,
      0.326,
      0.0646,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.132,
      0.1722,
      0.064,
      0.2445,
      0.0665,
      0.1133,
      0.0864,
      0.233,
      0.0595,
      0.0799,
      0,
      0.1357,
      0.3848,
      0.1381,
      0.3063,
      0.1704,
      0.054,
      0.1226,
      0.1253,
      0.3039,
      0.1047,
      0.1539,
      0,
      0.0342,
      0.4366,
      0.0107,
      0.331,
      0,
      0.0984,
      0.2825,
      0.2829,
      0.1559,
      0.2489,
      0.1775,
      0.3803,
      0.3285,
      0.1279,
      0.3533,
      0.4811,
      0.1017,
      0.1708,
      0.3265,
      0.2213,
      0.4031,
      0.2241,
      0.2463,
      0.065,
      0.1984,
      0.2962,
      0.2915,
      0.2812,
      0.295,
      0.3674,
      0.3227,
      0.2945,
      0.3019,
      0.1442,
      0.1298,
      0.3213,
      0.314,
      0.1965,
      0.2905,
      0.2896,
      0.1967,
      0.352,
      0.3199,
      0.4744,
      0.4699,
      0.3322,
      0.2437,
      0.1782,
      0.283,
      0.164,
      0.1552,
      0.0649,
      0.1515,
      0.2252,
      0.3773,
      0.248,
      0.3128,
      0.2106,
      0.3638,
      0.544,
      0.2919,
      0.3404,
      0.199,
      0.1522,
      0.1644,
      0.1792,
      0.3249,
      0.3408,
      0.4085,
      0.4027,
      0.4395,
      0.3352,
      0.2831,
      0.3049,
      0.2951,
      0.1937,
      0.2774,
      0.1493,
      0.1218,
      0.1044,
      0.3421,
      0.3596,
      0.2034,
      0.154,
      0.0191,
      0.0464,
      0.2544,
      0.2554,
      0.1282,
      0.0405,
      0.3651,
      0.3272,
      0.2334,
      0.3256,
      0.1772,
      0.2011,
      0.1087,
      0.2623,
      0.3482,
      0.2634,
      0.1051,
      0.3163,
      0.2158,
      0.4836,
      0.3815,
      0.3386,
      0.3137,
      0.3103,
      0.1491,
      0.2408,
      0.1845,
      0.1688,
      0.1478,
      0.2454,
      0.3751,
      0.2571,
      0.2874,
      0.1827,
      0.2409,
      0.3237,
      0.219,
      0.2189,
      0.3467,
      0.1726,
      0.2729,
      0.3588,
      0.2538,
      0.3482,
      0.3001,
      0.1658,
      0.2055,
      0.2198,
      0.3548,
      0.2105,
      0.3441,
      0.2708,
      0.3816,
      0.4228,
      0.2389,
      0.289,
      0.3608,
      0.4358,
      0.1851,
      0.5378,
      0.3845,
      0.3701,
      0.3083,
      0.3291,
      0.4313,
      0.4478,
      0.4193,
      0.4092,
      0.3615,
      0.1797,
      0.2552,
      0.2944,
      0.186,
      0.214,
      0.4921,
      0.4169,
      0.2489,
      0.2385,
      0.291,
      0.2355,
      0.4303,
      0.3832,
      0.1906,
      0.3164,
      0.3682,
      0.2798,
      0.2625,
      0.2862,
      0.1976,
      0.1991,
      0.1894,
      0.2705,
      0.1816,
      0.2925,
      0.3481,
      0.3674,
      0.181,
      0.2822,
      0.3629,
      0.2238,
      0.368,
      0.1567,
      0.2702,
      0.1689,
      0.3117,
      0.4048,
      0.2699,
      0.2734,
      0.2219,
      0.3051,
      0.2855,
      0.1332,
      0.3321,
      0.3704,
      0.3485,
      0.3093,
      0.1997,
      0.3501,
      0.4814,
      0.3632,
      0.3105,
      0.2541,
      0.2837,
      0.3503,
      0.4519,
      0.4636,
      0.3442,
      0.3297,
      0.3429,
      0.3557,
      0.329,
      0.4287,
      0.5106,
      0.4701,
      0.305,
      0.3498,
      0.4494,
      0.334,
      0.2977,
      0.2946,
      0.2327,
      0.3098,
      0.1837,
      0.4037,
      0.3883,
      0.3684,
      0.4657,
      0.3742,
      0.2767,
      0.2772,
      0.3927,
      0.203,
      0.3969,
      0.2919,
      0.2758,
      0.3921,
      0.3272,
      0.3487,
      0.359,
      0.2877,
      0.3366,
      0.3072,
      0.2962,
      0.2126,
      0.2068,
      0.3793,
      0.2166,
      0.352,
      0.2827,
      0.3632,
      0.3089,
      0.3218,
      0.3708,
      0.2505,
      0.197,
      0.1011,
      0.1708,
      0.1594,
      0.0846,
      0.1367,
      0.1377,
      0.1606,
      0.1543,
      0.1078,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0504,
      0.1593,
      0.0704,
      0.1189,
      0.104,
      0.0669,
      0.0611,
      0.2061,
      0.1185,
      0.1008,
      0,
      0.146,
      0.1149,
      0.0856,
      0.3755,
      0.1431,
      0.1193,
      0.1022,
      0.1459,
      0.3027,
      0.0498,
      0.0769,
      0,
      0.0785,
      0.4417,
      0.0221,
      0.3513,
      0.0432,
      0.1501,
      0.1928,
      0.2671,
      0.2538,
      0.2563,
      0.1503,
      0.2659,
      0.3085,
      0.2677,
      0.3308,
      0.4935,
      0.0656,
      0.2694,
      0.2982,
      0.2451,
      0.3761,
      0.2597,
      0.3166,
      0.0846,
      0.1414,
      0.4657,
      0.2527,
      0.2376,
      0.3254,
      0.2287,
      0.3391,
      0.2633,
      0.2847,
      0.136,
      0.0555,
      0.2782,
      0.2777,
      0.2001,
      0.2579,
      0.2831,
      0.149,
      0.4045,
      0.4264,
      0.411,
      0.3635,
      0.3361,
      0.1424,
      0.1899,
      0.2164,
      0.186,
      0.2623,
      0.0737,
      0.1405,
      0.1761,
      0.3906,
      0.3159,
      0.296,
      0.2104,
      0.4227,
      0.5247,
      0.288,
      0.3033,
      0.1837,
      0.2036,
      0.1815,
      0.1319,
      0.2855,
      0.3553,
      0.4063,
      0.3767,
      0.3878,
      0.3641,
      0.2928,
      0.3043,
      0.2719,
      0.2304,
      0.3282,
      0.1297,
      0.1355,
      0.0638,
      0.4311,
      0.3213,
      0.1983,
      0.1522,
      0.1101,
      0.1296,
      0.2823,
      0.248,
      0.1279,
      0.0603,
      0.3378,
      0.2691,
      0.2405,
      0.2724,
      0.1964,
      0.2267,
      0.0946,
      0.2846,
      0.2446,
      0.2315,
      0.2009,
      0.3418,
      0.1586,
      0.4777,
      0.4025,
      0.307,
      0.3038,
      0.2698,
      0.096,
      0.2349,
      0.2004,
      0.1766,
      0.0464,
      0.2078,
      0.3414,
      0.2638,
      0.321,
      0.2045,
      0.2326,
      0.3272,
      0.1788,
      0.2419,
      0.3105,
      0.0842,
      0.2088,
      0.3991,
      0.2931,
      0.2961,
      0.3393,
      0.16,
      0.1361,
      0.212,
      0.2734,
      0.2366,
      0.3023,
      0.2242,
      0.3919,
      0.4512,
      0.338,
      0.3424,
      0.2979,
      0.4521,
      0.1729,
      0.4701,
      0.4084,
      0.4008,
      0.2953,
      0.3304,
      0.4026,
      0.3966,
      0.4299,
      0.3994,
      0.2686,
      0.2711,
      0.2707,
      0.2234,
      0.113,
      0.1798,
      0.5266,
      0.3863,
      0.2019,
      0.2952,
      0.2266,
      0.2711,
      0.4416,
      0.4099,
      0.2113,
      0.2865,
      0.4003,
      0.2647,
      0.1902,
      0.2492,
      0.184,
      0.2915,
      0.1454,
      0.2877,
      0.0412,
      0.2646,
      0.3786,
      0.2562,
      0.2792,
      0.2583,
      0.3536,
      0.2335,
      0.3899,
      0.173,
      0.2468,
      0.1453,
      0.3433,
      0.4292,
      0.2901,
      0.1776,
      0.2885,
      0.2387,
      0.1933,
      0.1603,
      0.3045,
      0.2303,
      0.3556,
      0.37,
      0.1903,
      0.3217,
      0.4188,
      0.3747,
      0.3074,
      0.2986,
      0.2816,
      0.3534,
      0.3217,
      0.3813,
      0.2868,
      0.3494,
      0.3349,
      0.3323,
      0.3554,
      0.4456,
      0.395,
      0.4267,
      0.3333,
      0.3257,
      0.464,
      0.2527,
      0.1878,
      0.2689,
      0.2876,
      0.3429,
      0.1661,
      0.4006,
      0.3623,
      0.3287,
      0.3338,
      0.2805,
      0.203,
      0.2876,
      0.3689,
      0.2517,
      0.4185,
      0.2825,
      0.3071,
      0.4331,
      0.3717,
      0.4044,
      0.3655,
      0.2839,
      0.3802,
      0.3647,
      0.3171,
      0.3217,
      0.2832,
      0.3582,
      0.1802,
      0.2964,
      0.382,
      0.2884,
      0.3674,
      0.3609,
      0.3784,
      0.2189,
      0.2937,
      0.1434,
      0.1699,
      0.1905,
      0.0839,
      0.0524,
      0.1475,
      0.2242,
      0.1799,
      0.0774,
      0,
      0.0088,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0698,
      0.192,
      0.1367,
      0.0589,
      0.1387,
      0.0127,
      0.072,
      0.1169,
      0.0731,
      0.1317,
      0,
      0.2102,
      0.1563,
      0.1278,
      0.4442,
      0.1992,
      0,
      0.1261,
      0.1342,
      0.4299,
      0.1265,
      0.18,
      0,
      0,
      0.3788,
      0.1143,
      0.2819,
      0,
      0.1061,
      0.1524,
      0.3039,
      0.2635,
      0.251,
      0.1729,
      0.3374,
      0.3193,
      0.2674,
      0.5333,
      0.4069,
      0.1238,
      0.3194,
      0.3698,
      0.263,
      0.4422,
      0.2515,
      0.3313,
      0.0923,
      0.2628,
      0.458,
      0.283,
      0.1748,
      0.2814,
      0.1682,
      0.3816,
      0.3024,
      0.2681,
      0.1276,
      0.1391,
      0.2942,
      0.248,
      0.1663,
      0.2544,
      0.3278,
      0.14,
      0.3902,
      0.4088,
      0.3036,
      0.3685,
      0.3066,
      0.1394,
      0.1831,
      0.2023,
      0.151,
      0.2352,
      0.0768,
      0.1422,
      0.2079,
      0.3457,
      0.3603,
      0.243,
      0.1788,
      0.4261,
      0.4388,
      0.2437,
      0.3208,
      0.157,
      0.2155,
      0.1832,
      0.0559,
      0.2835,
      0.3061,
      0.4078,
      0.3858,
      0.479,
      0.2771,
      0.2117,
      0.3116,
      0.2515,
      0.2126,
      0.209,
      0.2062,
      0.1409,
      0.0955,
      0.3972,
      0.3486,
      0.2476,
      0.1132,
      0.1717,
      0.0872,
      0.2969,
      0.2617,
      0.1932,
      0.1495,
      0.3492,
      0.4004,
      0.2187,
      0.3877,
      0.1952,
      0.231,
      0.102,
      0.2689,
      0.2642,
      0.2828,
      0.2116,
      0.2979,
      0.1439,
      0.395,
      0.2814,
      0.3377,
      0.301,
      0.2105,
      0.1094,
      0.2512,
      0.1681,
      0.2347,
      0.0597,
      0.3016,
      0.4185,
      0.359,
      0.3574,
      0.2633,
      0.198,
      0.3649,
      0.1602,
      0.2301,
      0.3505,
      0.1215,
      0.275,
      0.359,
      0.2854,
      0.3273,
      0.2567,
      0.1768,
      0.1899,
      0.1271,
      0.2785,
      0.213,
      0.3175,
      0.2281,
      0.3336,
      0.3284,
      0.3011,
      0.3574,
      0.2975,
      0.3646,
      0.1527,
      0.5246,
      0.3749,
      0.4054,
      0.237,
      0.3593,
      0.4087,
      0.3917,
      0.4311,
      0.4337,
      0.2807,
      0.2965,
      0.2607,
      0.2772,
      0.1637,
      0.1844,
      0.3723,
      0.384,
      0.2305,
      0.2646,
      0.2227,
      0.3659,
      0.3586,
      0.3876,
      0.1277,
      0.2934,
      0.3855,
      0.2738,
      0.21,
      0.2212,
      0.1565,
      0.2684,
      0.2564,
      0.3238,
      0.1604,
      0.3259,
      0.3873,
      0.2647,
      0.3428,
      0.2097,
      0.4161,
      0.1771,
      0.24,
      0.2237,
      0.165,
      0.0642,
      0.2751,
      0.3674,
      0.295,
      0.2328,
      0.3582,
      0.2129,
      0.2321,
      0.2283,
      0.3078,
      0.181,
      0.2763,
      0.4708,
      0.1856,
      0.3774,
      0.4379,
      0.3678,
      0.2643,
      0.3375,
      0.2791,
      0.3191,
      0.3518,
      0.3544,
      0.3016,
      0.2828,
      0.2686,
      0.4166,
      0.3222,
      0.4295,
      0.4021,
      0.4001,
      0.3982,
      0.3173,
      0.4277,
      0.3043,
      0.265,
      0.2689,
      0.2916,
      0.3374,
      0.3115,
      0.4283,
      0.3832,
      0.2802,
      0.3285,
      0.3055,
      0.234,
      0.248,
      0.323,
      0.2539,
      0.3659,
      0.2893,
      0.3008,
      0.3579,
      0.367,
      0.3594,
      0.2764,
      0.3054,
      0.4154,
      0.2571,
      0.1655,
      0.2805,
      0.2903,
      0.4042,
      0.1392,
      0.3783,
      0.336,
      0.3773,
      0.4043,
      0.2553,
      0.3531,
      0.2215,
      0.3013,
      0.0964,
      0.1522,
      0.2628,
      0.0864,
      0.0253,
      0.1504,
      0.2008,
      0.2032,
      0.0869,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1262,
      0.1866,
      0.0783,
      0.1389,
      0.1335,
      0.0571,
      0.0626,
      0.2769,
      0.097,
      0.123,
      0.0038,
      0.2254,
      0.1819,
      0.0836,
      0.4425,
      0.1841,
      0.0093,
      0.1181,
      0.1422,
      0.3567,
      0.1038,
      0.0853,
      0,
      0,
      0.2826,
      0.0951,
      0.2455,
      0.0045,
      0.118,
      0.3082,
      0.2856,
      0.2177,
      0.2259,
      0.2035,
      0.3292,
      0.2955,
      0.2252,
      0.4173,
      0.275,
      0.1032,
      0.2888,
      0.379,
      0.2968,
      0.4675,
      0.2312,
      0.331,
      0.0972,
      0.2857,
      0.3896,
      0.2936,
      0.3037,
      0.2822,
      0.1829,
      0.242,
      0.371,
      0.2839,
      0.1601,
      0.1125,
      0.28,
      0.2182,
      0.14,
      0.2539,
      0.298,
      0.1205,
      0.3951,
      0.4317,
      0.3166,
      0.3518,
      0.3871,
      0.2045,
      0.2432,
      0.2959,
      0.119,
      0.221,
      0.1193,
      0.157,
      0.2276,
      0.3981,
      0.3804,
      0.2932,
      0.2652,
      0.3601,
      0.4948,
      0.2568,
      0.3552,
      0.1634,
      0.2311,
      0.1606,
      0.1651,
      0.2944,
      0.3359,
      0.3897,
      0.421,
      0.4954,
      0.3496,
      0.3281,
      0.3221,
      0.2542,
      0.2489,
      0.3145,
      0.1728,
      0.1043,
      0.1048,
      0.3372,
      0.3521,
      0.1468,
      0.1609,
      0.1202,
      0.0752,
      0.2454,
      0.2385,
      0.1834,
      0.0536,
      0.3721,
      0.3609,
      0.2719,
      0.4326,
      0.1661,
      0.2817,
      0.0486,
      0.2763,
      0.1791,
      0.2807,
      0.2505,
      0.2652,
      0.2092,
      0.36,
      0.3395,
      0.2248,
      0.309,
      0.277,
      0.1504,
      0.2455,
      0.2196,
      0.1971,
      0.0453,
      0.2855,
      0.401,
      0.3313,
      0.3616,
      0.3321,
      0.2725,
      0.337,
      0.1872,
      0.1366,
      0.4028,
      0.1427,
      0.287,
      0.3757,
      0.4039,
      0.2566,
      0.2441,
      0.2341,
      0.273,
      0.17,
      0.2567,
      0.2019,
      0.3343,
      0.2666,
      0.3704,
      0.4126,
      0.1949,
      0.3774,
      0.3472,
      0.3283,
      0.2427,
      0.5323,
      0.4165,
      0.4409,
      0.3028,
      0.3807,
      0.4208,
      0.4425,
      0.4757,
      0.4639,
      0.2909,
      0.3169,
      0.3164,
      0.2314,
      0.2535,
      0.2158,
      0.2355,
      0.3927,
      0.2115,
      0.2276,
      0.2422,
      0.3515,
      0.4094,
      0.453,
      0.2077,
      0.3705,
      0.4358,
      0.2479,
      0.2304,
      0.2139,
      0.1564,
      0.3144,
      0.2187,
      0.4279,
      0.1921,
      0.2436,
      0.3248,
      0.3211,
      0.2669,
      0.2399,
      0.3937,
      0.2321,
      0.3605,
      0.2237,
      0.2688,
      0.1009,
      0.2784,
      0.4512,
      0.2827,
      0.2159,
      0.2731,
      0.1895,
      0.2206,
      0.2261,
      0.2939,
      0.3186,
      0.3615,
      0.3535,
      0.2844,
      0.311,
      0.4031,
      0.4206,
      0.334,
      0.3399,
      0.2234,
      0.393,
      0.4329,
      0.3522,
      0.371,
      0.3101,
      0.2271,
      0.436,
      0.3931,
      0.511,
      0.5033,
      0.4066,
      0.3667,
      0.4509,
      0.4024,
      0.3565,
      0.2634,
      0.3175,
      0.374,
      0.4264,
      0.249,
      0.485,
      0.3818,
      0.3078,
      0.3345,
      0.2794,
      0.1718,
      0.2778,
      0.2608,
      0.2226,
      0.3414,
      0.2517,
      0.3353,
      0.3492,
      0.352,
      0.3904,
      0.2565,
      0.426,
      0.4282,
      0.3816,
      0.2039,
      0.2267,
      0.2994,
      0.37,
      0.1264,
      0.2806,
      0.3327,
      0.3467,
      0.3945,
      0.2075,
      0.3714,
      0.0828,
      0.3234,
      0.0586,
      0.0844,
      0.3301,
      0.093,
      0.0481,
      0.1432,
      0.2437,
      0.2318,
      0.1344,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1448,
      0.2433,
      0.0735,
      0.1068,
      0.0963,
      0.076,
      0.0665,
      0.2867,
      0.0742,
      0.0527,
      0,
      0.2127,
      0.0915,
      0.2215,
      0.4306,
      0.1377,
      0.0181,
      0.1082,
      0.2062,
      0.1668,
      0.1294,
      0.161,
      0,
      0,
      0.3598,
      0.0869,
      0.3279,
      0.0348,
      0.1217,
      0.2457,
      0.2971,
      0.2,
      0.3016,
      0.1597,
      0.363,
      0.2647,
      0.2391,
      0.3631,
      0.2331,
      0.1785,
      0.2924,
      0.3313,
      0.3432,
      0.4888,
      0.2919,
      0.239,
      0.0901,
      0.2572,
      0.3489,
      0.2137,
      0.2984,
      0.3609,
      0.2342,
      0.2769,
      0.314,
      0.2762,
      0.0892,
      0.1011,
      0.2866,
      0.2374,
      0.1236,
      0.2322,
      0.3485,
      0.2218,
      0.4048,
      0.4631,
      0.3077,
      0.5295,
      0.3059,
      0.2116,
      0.2287,
      0.2282,
      0.1204,
      0.199,
      0.0744,
      0.1629,
      0.2858,
      0.3535,
      0.3575,
      0.292,
      0.1942,
      0.3297,
      0.4299,
      0.2602,
      0.3401,
      0.2044,
      0.224,
      0.1348,
      0.177,
      0.2271,
      0.298,
      0.4401,
      0.4099,
      0.483,
      0.368,
      0.2592,
      0.2839,
      0.2087,
      0.2518,
      0.2417,
      0.0796,
      0.202,
      0.039,
      0.4287,
      0.3511,
      0.1349,
      0.188,
      0.155,
      0.1117,
      0.186,
      0.1708,
      0.2111,
      0.0302,
      0.3685,
      0.321,
      0.2973,
      0.4357,
      0.0687,
      0.2333,
      0.12,
      0.2888,
      0.2547,
      0.2354,
      0.1644,
      0.2777,
      0.1953,
      0.4503,
      0.3521,
      0.3021,
      0.3281,
      0.2553,
      0.1736,
      0.1862,
      0.2296,
      0.2229,
      0.1075,
      0.3296,
      0.4084,
      0.3539,
      0.3171,
      0.3707,
      0.2477,
      0.3163,
      0.1809,
      0.1747,
      0.3458,
      0.1497,
      0.3627,
      0.4261,
      0.3303,
      0.2881,
      0.3375,
      0.2709,
      0.2684,
      0.2467,
      0.1727,
      0.0744,
      0.2866,
      0.2074,
      0.3458,
      0.3966,
      0.2655,
      0.3129,
      0.2773,
      0.3224,
      0.1602,
      0.4961,
      0.3875,
      0.5136,
      0.2738,
      0.349,
      0.4155,
      0.4581,
      0.4676,
      0.3867,
      0.3462,
      0.2508,
      0.2657,
      0.2751,
      0.1786,
      0.1847,
      0.2356,
      0.4254,
      0.2699,
      0.2671,
      0.2215,
      0.3089,
      0.4231,
      0.4155,
      0.3041,
      0.4097,
      0.3706,
      0.2663,
      0.2283,
      0.2504,
      0.2303,
      0.3022,
      0.2527,
      0.3017,
      0.1917,
      0.2262,
      0.3878,
      0.2959,
      0.1072,
      0.1961,
      0.2752,
      0.2414,
      0.2444,
      0.1912,
      0.2216,
      0.1707,
      0.2866,
      0.3803,
      0.2543,
      0.2575,
      0.2019,
      0.2352,
      0.3402,
      0.2026,
      0.2767,
      0.4044,
      0.329,
      0.3428,
      0.3003,
      0.3619,
      0.4347,
      0.4111,
      0.3001,
      0.3421,
      0.2505,
      0.3775,
      0.4682,
      0.439,
      0.3954,
      0.4141,
      0.2944,
      0.4724,
      0.3414,
      0.4995,
      0.4673,
      0.3857,
      0.429,
      0.4626,
      0.4579,
      0.4149,
      0.1948,
      0.3044,
      0.4019,
      0.3976,
      0.1586,
      0.4074,
      0.3865,
      0.266,
      0.3339,
      0.2806,
      0.2632,
      0.2658,
      0.3084,
      0.2494,
      0.4277,
      0.22,
      0.3386,
      0.4388,
      0.3424,
      0.3224,
      0.2789,
      0.2634,
      0.338,
      0.2921,
      0.2281,
      0.2476,
      0.1946,
      0.3408,
      0.1519,
      0.3204,
      0.3239,
      0.3969,
      0.4298,
      0.2938,
      0.3367,
      0.2061,
      0.2913,
      0.0988,
      0.1029,
      0.2817,
      0.0562,
      0.0545,
      0.1011,
      0.2343,
      0.1738,
      0.0105,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1271,
      0.1184,
      0.0831,
      0.1009,
      0.0376,
      0.0957,
      0.114,
      0.2449,
      0.1504,
      0,
      0,
      0.2363,
      0.2089,
      0.073,
      0.3957,
      0.1461,
      0,
      0.0716,
      0.1899,
      0.2678,
      0.0889,
      0.1667,
      0,
      0,
      0.3527,
      0.0701,
      0.3495,
      0.0337,
      0.1129,
      0.2376,
      0.1857,
      0.2177,
      0.2875,
      0.1364,
      0.3318,
      0.3094,
      0.2775,
      0.3591,
      0.2462,
      0.0803,
      0.2774,
      0.3171,
      0.3253,
      0.4614,
      0.1727,
      0.2166,
      0.1479,
      0.2258,
      0.3463,
      0.305,
      0.1965,
      0.3738,
      0.2023,
      0.3714,
      0.3544,
      0.2975,
      0.1621,
      0.1515,
      0.2893,
      0.3273,
      0.1049,
      0.2748,
      0.3806,
      0.2233,
      0.3463,
      0.449,
      0.3148,
      0.2853,
      0.3477,
      0.1799,
      0.2162,
      0.3407,
      0.2092,
      0.1749,
      0.1058,
      0.1604,
      0.2874,
      0.4242,
      0.3765,
      0.3371,
      0.1558,
      0.5076,
      0.5055,
      0.2552,
      0.2391,
      0.1841,
      0.2317,
      0.1275,
      0.1506,
      0.2263,
      0.2677,
      0.424,
      0.3985,
      0.4628,
      0.3194,
      0.2114,
      0.2889,
      0.2396,
      0.2017,
      0.3165,
      0.0643,
      0.1754,
      0.0921,
      0.3624,
      0.3656,
      0.205,
      0.1564,
      0.104,
      0.126,
      0.1739,
      0.1839,
      0.2007,
      0,
      0.3041,
      0.4056,
      0.1944,
      0.3603,
      0.1895,
      0.3061,
      0.0991,
      0.2625,
      0.2293,
      0.2822,
      0.1967,
      0.2903,
      0.1168,
      0.4103,
      0.3331,
      0.2881,
      0.2554,
      0.2585,
      0.129,
      0.2027,
      0.1918,
      0.2352,
      0,
      0.3048,
      0.3936,
      0.3387,
      0.3354,
      0.4467,
      0.1977,
      0.246,
      0.1912,
      0.1642,
      0.3509,
      0.1675,
      0.3472,
      0.4243,
      0.3376,
      0.335,
      0.2791,
      0.1814,
      0.2722,
      0.1504,
      0.1984,
      0.1529,
      0.3341,
      0.2643,
      0.3649,
      0.3327,
      0.3081,
      0.3136,
      0.2562,
      0.3667,
      0.0723,
      0.5306,
      0.4069,
      0.3491,
      0.2475,
      0.3318,
      0.3664,
      0.3725,
      0.4364,
      0.432,
      0.2167,
      0.2935,
      0.2965,
      0.3511,
      0.2345,
      0.1804,
      0.1598,
      0.412,
      0.2608,
      0.1859,
      0.3495,
      0.3227,
      0.4157,
      0.3577,
      0.3328,
      0.3144,
      0.3624,
      0.2091,
      0.2168,
      0.2524,
      0.1568,
      0.3248,
      0.1873,
      0.2183,
      0.2198,
      0.3108,
      0.3607,
      0.3122,
      0.2537,
      0.2167,
      0.3054,
      0.2354,
      0.3532,
      0.1966,
      0.1971,
      0.2075,
      0.3343,
      0.4786,
      0.2729,
      0.2584,
      0.2241,
      0.2368,
      0.3046,
      0.2642,
      0.2562,
      0.2882,
      0.2619,
      0.3193,
      0.1307,
      0.3679,
      0.4312,
      0.3448,
      0.3332,
      0.3198,
      0.2997,
      0.3604,
      0.2942,
      0.3525,
      0.3096,
      0.316,
      0.2538,
      0.4767,
      0.4116,
      0.4748,
      0.4662,
      0.3378,
      0.3598,
      0.4049,
      0.4691,
      0.3563,
      0.26,
      0.3141,
      0.3244,
      0.3786,
      0.1522,
      0.4693,
      0.388,
      0.3473,
      0.3807,
      0.2972,
      0.2965,
      0.2464,
      0.2812,
      0.2001,
      0.3812,
      0.2424,
      0.3538,
      0.3492,
      0.3038,
      0.3345,
      0.2467,
      0.3336,
      0.2984,
      0.2763,
      0.2337,
      0.1855,
      0.2189,
      0.4341,
      0.168,
      0.3533,
      0.3306,
      0.3188,
      0.377,
      0.3993,
      0.3358,
      0.2115,
      0.2123,
      0.1072,
      0.0951,
      0.2378,
      0.0565,
      0.0147,
      0.1705,
      0.2153,
      0.1514,
      0.029,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2769,
      0.1408,
      0.0512,
      0.0707,
      0.0619,
      0.1286,
      0.06,
      0.1572,
      0.1536,
      0.0767,
      0,
      0.2067,
      0.2848,
      0.0921,
      0.3974,
      0.205,
      0,
      0.1087,
      0.2099,
      0.259,
      0.1151,
      0.1149,
      0,
      0,
      0.3395,
      0.1189,
      0.4169,
      0.0623,
      0.0824,
      0.2794,
      0.2761,
      0.1978,
      0.2403,
      0.1946,
      0.3469,
      0.2976,
      0.4736,
      0.2229,
      0.2545,
      0.1287,
      0.2586,
      0.2991,
      0.273,
      0.4079,
      0.2192,
      0.2657,
      0.1195,
      0.2476,
      0.2113,
      0.3604,
      0.2271,
      0.268,
      0.2004,
      0.3671,
      0.3852,
      0.2843,
      0.1404,
      0.0723,
      0.2959,
      0.3202,
      0.0697,
      0.3577,
      0.3371,
      0.1411,
      0.3641,
      0.3998,
      0.2613,
      0.4435,
      0.3662,
      0.2985,
      0.2505,
      0.3159,
      0.2191,
      0.2436,
      0.2109,
      0.1656,
      0.284,
      0.3869,
      0.3503,
      0.2649,
      0.2703,
      0.4959,
      0.4135,
      0.2969,
      0.3351,
      0.2709,
      0.1443,
      0.1267,
      0.1977,
      0.2441,
      0.2765,
      0.4084,
      0.3998,
      0.4444,
      0.3375,
      0.331,
      0.2804,
      0.1964,
      0.3057,
      0.3344,
      0.1313,
      0.1636,
      0,
      0.3482,
      0.3462,
      0.1598,
      0.1137,
      0.0513,
      0.107,
      0.2249,
      0.1386,
      0.1289,
      0.0356,
      0.3038,
      0.3309,
      0.2319,
      0.4336,
      0.1759,
      0.2031,
      0.127,
      0.3004,
      0.204,
      0.2466,
      0.2032,
      0.303,
      0.1637,
      0.4274,
      0.4042,
      0.3059,
      0.3327,
      0.2175,
      0.2003,
      0.2433,
      0.2078,
      0.2375,
      0.1448,
      0.2656,
      0.3753,
      0.3504,
      0.3324,
      0.5234,
      0.2198,
      0.3086,
      0.2243,
      0.1413,
      0.3696,
      0.1242,
      0.2681,
      0.3818,
      0.3802,
      0.3553,
      0.3524,
      0.3673,
      0.2849,
      0.2626,
      0.3261,
      0.1457,
      0.3025,
      0.3078,
      0.402,
      0.4036,
      0.3397,
      0.3053,
      0.3261,
      0.4183,
      0.2543,
      0.4519,
      0.3849,
      0.2623,
      0.2996,
      0.4036,
      0.4121,
      0.3889,
      0.4964,
      0.4355,
      0.3405,
      0.2804,
      0.2817,
      0.371,
      0.2456,
      0.2164,
      0.2389,
      0.3578,
      0.2028,
      0.2688,
      0.3563,
      0.2945,
      0.3607,
      0.4283,
      0.2979,
      0.4099,
      0.358,
      0.2978,
      0.2419,
      0.2523,
      0.2829,
      0.3014,
      0.2971,
      0.2163,
      0.2487,
      0.2627,
      0.3944,
      0.3537,
      0.2477,
      0.38,
      0.2858,
      0.2987,
      0.3524,
      0.2132,
      0.2173,
      0.2283,
      0.37,
      0.3616,
      0.1942,
      0.295,
      0.1731,
      0.2327,
      0.1905,
      0.2505,
      0.2988,
      0.3822,
      0.3462,
      0.2271,
      0.1568,
      0.2904,
      0.4073,
      0.3821,
      0.2992,
      0.2936,
      0.3034,
      0.3181,
      0.3859,
      0.3087,
      0.2885,
      0.2874,
      0.2919,
      0.3938,
      0.4027,
      0.4576,
      0.4932,
      0.3538,
      0.3874,
      0.3459,
      0.4663,
      0.3686,
      0.3049,
      0.3086,
      0.354,
      0.3662,
      0.2453,
      0.5101,
      0.2978,
      0.3677,
      0.4369,
      0.3045,
      0.2554,
      0.3159,
      0.2994,
      0.2218,
      0.4,
      0.2456,
      0.4105,
      0.3837,
      0.3675,
      0.3147,
      0.2767,
      0.3712,
      0.3233,
      0.2164,
      0.1985,
      0.2738,
      0.2466,
      0.4375,
      0.201,
      0.3164,
      0.3438,
      0.3033,
      0.41,
      0.3345,
      0.348,
      0.2214,
      0.212,
      0.0624,
      0.1435,
      0.2509,
      0.0996,
      0.0448,
      0.2202,
      0.2301,
      0.1054,
      0.0642,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3072,
      0.2544,
      0.0178,
      0.118,
      0.054,
      0.0272,
      0.1101,
      0.2158,
      0.1875,
      0.1405,
      0,
      0.2228,
      0.1982,
      0,
      0.3238,
      0.1762,
      0,
      0.1242,
      0.1673,
      0.3358,
      0.0861,
      0.0772,
      0,
      0,
      0.3771,
      0.0795,
      0.3549,
      0.0832,
      0.1017,
      0.2428,
      0.294,
      0.2277,
      0.2265,
      0.2016,
      0.3697,
      0.3218,
      0.2715,
      0.2735,
      0.2502,
      0.0261,
      0.2247,
      0.3174,
      0.3219,
      0.3786,
      0.2347,
      0.3123,
      0.1328,
      0.2627,
      0.2537,
      0.3339,
      0.2753,
      0.2203,
      0.2223,
      0.307,
      0.3035,
      0.2588,
      0.1436,
      0.0445,
      0.2996,
      0.2386,
      0.0584,
      0.3399,
      0.1766,
      0.1603,
      0.376,
      0.5063,
      0.2853,
      0.5136,
      0.3306,
      0.272,
      0.2663,
      0.2654,
      0.1809,
      0.2834,
      0.068,
      0.1482,
      0.2366,
      0.4291,
      0.3392,
      0.2636,
      0.0986,
      0.416,
      0.4604,
      0.2456,
      0.3122,
      0.2023,
      0.1172,
      0.1675,
      0.1757,
      0.2294,
      0.2514,
      0.3705,
      0.4181,
      0.4438,
      0.3309,
      0.3044,
      0.2323,
      0.1487,
      0.1676,
      0.2577,
      0.0981,
      0.0843,
      0.0506,
      0.4667,
      0.3731,
      0.2418,
      0.0952,
      0.142,
      0.157,
      0.3004,
      0.2152,
      0.122,
      0,
      0.3649,
      0.3886,
      0.2913,
      0.4516,
      0.1977,
      0.2409,
      0.094,
      0.2644,
      0.249,
      0.2392,
      0.2301,
      0.3613,
      0.2128,
      0.4541,
      0.3874,
      0.2585,
      0.3348,
      0.2302,
      0.2064,
      0.1781,
      0.2163,
      0.172,
      0.2319,
      0.1581,
      0.4127,
      0.2266,
      0.2792,
      0.4531,
      0.2384,
      0.3213,
      0.2008,
      0.2293,
      0.3854,
      0.1539,
      0.238,
      0.3321,
      0.3474,
      0.2482,
      0.2326,
      0.261,
      0.216,
      0.1206,
      0.2138,
      0.1552,
      0.2429,
      0.2582,
      0.4084,
      0.4105,
      0.2986,
      0.3068,
      0.2854,
      0.398,
      0.1954,
      0.5069,
      0.4601,
      0.2858,
      0.294,
      0.4071,
      0.4279,
      0.3807,
      0.4516,
      0.3445,
      0.2853,
      0.3223,
      0.298,
      0.2916,
      0.2577,
      0.2038,
      0.2299,
      0.3807,
      0.1659,
      0.2898,
      0.3431,
      0.291,
      0.4536,
      0.3766,
      0.1957,
      0.455,
      0.3987,
      0.1804,
      0.228,
      0.325,
      0.2441,
      0.2809,
      0.2333,
      0.2032,
      0.2485,
      0.2587,
      0.3148,
      0.2608,
      0.2264,
      0.3157,
      0.3041,
      0.2542,
      0.246,
      0.2247,
      0.2403,
      0.1322,
      0.3987,
      0.453,
      0.2369,
      0.2383,
      0.1842,
      0.2078,
      0.1167,
      0.2383,
      0.4046,
      0.2458,
      0.3451,
      0.3086,
      0.2583,
      0.2574,
      0.455,
      0.4274,
      0.3437,
      0.3001,
      0.2808,
      0.2783,
      0.3499,
      0.3032,
      0.3971,
      0.3081,
      0.2826,
      0.324,
      0.4289,
      0.4567,
      0.4726,
      0.3663,
      0.3571,
      0.2391,
      0.4644,
      0.2824,
      0.3769,
      0.2978,
      0.3885,
      0.2609,
      0.2199,
      0.4223,
      0.2963,
      0.312,
      0.4324,
      0.2783,
      0.1693,
      0.2216,
      0.3524,
      0.2008,
      0.3838,
      0.2342,
      0.3147,
      0.3716,
      0.3307,
      0.296,
      0.3372,
      0.3248,
      0.3014,
      0.2278,
      0.2691,
      0.2478,
      0.1788,
      0.4577,
      0.0457,
      0.3849,
      0.3082,
      0.3542,
      0.4895,
      0.4743,
      0.3752,
      0.2022,
      0.2333,
      0.1149,
      0.0809,
      0.256,
      0.0825,
      0.0634,
      0.1935,
      0.2144,
      0.1803,
      0.0448,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1912,
      0.2468,
      0.0599,
      0.0664,
      0.1662,
      0.0688,
      0.1048,
      0.2917,
      0.1562,
      0.0947,
      0,
      0.257,
      0.124,
      0.0711,
      0.3606,
      0.207,
      0,
      0.0807,
      0.0967,
      0.3081,
      0.0525,
      0.0865,
      0,
      0,
      0.3624,
      0.0873,
      0.4015,
      0,
      0.1129,
      0.2989,
      0.3471,
      0.2874,
      0.2595,
      0.1486,
      0.3664,
      0.2945,
      0.2601,
      0.3835,
      0.2158,
      0.0907,
      0.1873,
      0.2498,
      0.313,
      0.4855,
      0.3049,
      0.3245,
      0.1595,
      0.2493,
      0.2692,
      0.2482,
      0.2763,
      0.3306,
      0.2303,
      0.2969,
      0.3706,
      0.2337,
      0.1178,
      0.1054,
      0.2987,
      0.2505,
      0.1485,
      0.2833,
      0.1982,
      0.1765,
      0.3642,
      0.5204,
      0.3243,
      0.496,
      0.3012,
      0.1717,
      0.2279,
      0.196,
      0.1532,
      0.315,
      0.0726,
      0.0916,
      0.2245,
      0.4496,
      0.3304,
      0.2268,
      0.1779,
      0.3373,
      0.5337,
      0.2326,
      0.3368,
      0.1432,
      0.2192,
      0.1032,
      0.1491,
      0.2243,
      0.3094,
      0.3551,
      0.4156,
      0.4857,
      0.3631,
      0.2775,
      0.2615,
      0.1907,
      0.2697,
      0.2821,
      0.0961,
      0.1927,
      0.0413,
      0.4513,
      0.3942,
      0.2183,
      0.1184,
      0.1427,
      0.0975,
      0.205,
      0.2327,
      0.1081,
      0,
      0.3773,
      0.393,
      0.3037,
      0.3443,
      0.1878,
      0.2529,
      0.1108,
      0.2023,
      0.2452,
      0.3315,
      0.2406,
      0.3245,
      0.2266,
      0.3758,
      0.3673,
      0.3254,
      0.39,
      0.2456,
      0.2069,
      0.2279,
      0.2047,
      0.1758,
      0.0621,
      0.317,
      0.366,
      0.3741,
      0.3392,
      0.3148,
      0.2675,
      0.2972,
      0.2254,
      0.2063,
      0.3034,
      0.1796,
      0.2458,
      0.3408,
      0.3267,
      0.286,
      0.2556,
      0.2848,
      0.1852,
      0.1923,
      0.2133,
      0.0946,
      0.3281,
      0.3115,
      0.4098,
      0.371,
      0.2891,
      0.3516,
      0.2721,
      0.3702,
      0.1164,
      0.5102,
      0.3735,
      0.3492,
      0.2095,
      0.3895,
      0.4473,
      0.3856,
      0.4721,
      0.4653,
      0.3379,
      0.2684,
      0.2306,
      0.292,
      0.332,
      0.205,
      0.3096,
      0.3018,
      0.2686,
      0.3198,
      0.2386,
      0.3803,
      0.3983,
      0.4333,
      0.2435,
      0.5429,
      0.3376,
      0.1365,
      0.2254,
      0.2507,
      0.1859,
      0.2737,
      0.3145,
      0.1934,
      0.1789,
      0.2772,
      0.2765,
      0.285,
      0.224,
      0.294,
      0.3664,
      0.2584,
      0.3295,
      0.171,
      0.2372,
      0.1638,
      0.3643,
      0.4416,
      0.2583,
      0.195,
      0.2257,
      0.1613,
      0.0791,
      0.2152,
      0.3552,
      0.4029,
      0.4029,
      0.3008,
      0.2836,
      0.3675,
      0.4305,
      0.4694,
      0.3273,
      0.3548,
      0.3593,
      0.3695,
      0.427,
      0.3857,
      0.4714,
      0.4425,
      0.3248,
      0.3887,
      0.409,
      0.4392,
      0.4535,
      0.3849,
      0.3014,
      0.173,
      0.4691,
      0.2222,
      0.4021,
      0.307,
      0.355,
      0.2884,
      0.2893,
      0.458,
      0.3679,
      0.3463,
      0.3409,
      0.2784,
      0.1496,
      0.285,
      0.3249,
      0.1674,
      0.3385,
      0.2049,
      0.375,
      0.421,
      0.3991,
      0.3975,
      0.3808,
      0.3618,
      0.3471,
      0.3106,
      0.2893,
      0.2548,
      0.2635,
      0.396,
      0.0957,
      0.4111,
      0.3702,
      0.3533,
      0.3918,
      0.5166,
      0.3339,
      0.221,
      0.1778,
      0.0839,
      0.1363,
      0.2355,
      0.121,
      0.1018,
      0.1926,
      0.1662,
      0.1815,
      0.0872,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1,
      0.2976,
      0.1209,
      0.0827,
      0.1927,
      0.0683,
      0.0219,
      0.3055,
      0.1201,
      0.0911,
      0.0022,
      0.2892,
      0.1351,
      0.0538,
      0.3752,
      0.1746,
      0,
      0.0464,
      0.1909,
      0.2801,
      0.0902,
      0.0732,
      0,
      0.0489,
      0.3376,
      0.0504,
      0.3454,
      0.047,
      0.0577,
      0.2188,
      0.2552,
      0.2745,
      0.2905,
      0.1919,
      0.3289,
      0.314,
      0.2889,
      0.3475,
      0.2884,
      0.0786,
      0.2025,
      0.2923,
      0.3459,
      0.4564,
      0.2596,
      0.2699,
      0.1581,
      0.1367,
      0.3372,
      0.2117,
      0.2949,
      0.2959,
      0.1717,
      0.253,
      0.3477,
      0.325,
      0.1909,
      0.0418,
      0.3073,
      0.1901,
      0.0537,
      0.247,
      0.237,
      0.2056,
      0.3253,
      0.5171,
      0.4812,
      0.4043,
      0.3461,
      0.1467,
      0.2336,
      0.1953,
      0.1479,
      0.2288,
      0.0526,
      0.1306,
      0.2437,
      0.3499,
      0.2883,
      0.2294,
      0.2531,
      0.3927,
      0.4546,
      0.2629,
      0.3458,
      0.1594,
      0.2207,
      0.1224,
      0.1476,
      0.2089,
      0.2503,
      0.3877,
      0.4117,
      0.4736,
      0.3263,
      0.2575,
      0.2685,
      0.2626,
      0.2394,
      0.2909,
      0.0921,
      0.1912,
      0.0709,
      0.2933,
      0.2402,
      0.1329,
      0.2306,
      0.1392,
      0.0753,
      0.2354,
      0.2064,
      0.1066,
      0.0008,
      0.4051,
      0.4243,
      0.257,
      0.4409,
      0.2327,
      0.2805,
      0.0723,
      0.263,
      0.3304,
      0.3226,
      0.182,
      0.2307,
      0.149,
      0.3359,
      0.3645,
      0.3901,
      0.2101,
      0.2335,
      0.2205,
      0.2623,
      0.0897,
      0.1577,
      0.0997,
      0.2344,
      0.472,
      0.355,
      0.3564,
      0.2256,
      0.2219,
      0.2632,
      0.1793,
      0.1932,
      0.4312,
      0.1662,
      0.2246,
      0.3687,
      0.3122,
      0.2776,
      0.242,
      0.1863,
      0.1527,
      0.1911,
      0.2347,
      0.1167,
      0.2606,
      0.2941,
      0.3633,
      0.3819,
      0.2641,
      0.3008,
      0.2371,
      0.4361,
      0.1502,
      0.5334,
      0.3701,
      0.3079,
      0.311,
      0.3508,
      0.3916,
      0.3324,
      0.5023,
      0.3813,
      0.3422,
      0.2579,
      0.1952,
      0.1955,
      0.1989,
      0.2144,
      0.3479,
      0.3538,
      0.2266,
      0.261,
      0.2298,
      0.3667,
      0.3654,
      0.3812,
      0.266,
      0.4894,
      0.307,
      0.1202,
      0.1031,
      0.2505,
      0.057,
      0.2329,
      0.3368,
      0.3628,
      0.2011,
      0.3823,
      0.3393,
      0.2112,
      0.1288,
      0.1919,
      0.3577,
      0.3354,
      0.38,
      0.2183,
      0.2681,
      0.1423,
      0.3259,
      0.3105,
      0.2654,
      0.222,
      0.228,
      0.1413,
      0.1307,
      0.1803,
      0.3107,
      0.4091,
      0.3543,
      0.3076,
      0.2882,
      0.3568,
      0.4697,
      0.4838,
      0.3028,
      0.3829,
      0.3929,
      0.3529,
      0.4058,
      0.4493,
      0.3244,
      0.3372,
      0.3315,
      0.4131,
      0.4027,
      0.411,
      0.3488,
      0.3857,
      0.3673,
      0.2371,
      0.423,
      0.3112,
      0.2203,
      0.3018,
      0.4072,
      0.2374,
      0.2762,
      0.492,
      0.3519,
      0.2443,
      0.2918,
      0.2698,
      0.2147,
      0.1998,
      0.3485,
      0.1858,
      0.3313,
      0.1497,
      0.336,
      0.386,
      0.3717,
      0.3961,
      0.4599,
      0.3348,
      0.4067,
      0.3584,
      0.2671,
      0.1971,
      0.2988,
      0.3567,
      0.102,
      0.5514,
      0.3188,
      0.3243,
      0.4295,
      0.4305,
      0.3482,
      0.2454,
      0.2663,
      0.1127,
      0.0268,
      0.2701,
      0.0541,
      0.0639,
      0.2744,
      0.187,
      0.0706,
      0.0516,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1662,
      0.1539,
      0.1246,
      0.0752,
      0.123,
      0.0816,
      0.1449,
      0.2474,
      0.1617,
      0.1033,
      0.0036,
      0.2747,
      0.1301,
      0.1534,
      0.4603,
      0.1519,
      0,
      0.1103,
      0.1726,
      0.2683,
      0.0724,
      0.1636,
      0,
      0,
      0.3598,
      0.1171,
      0.3398,
      0.0362,
      0.0078,
      0.3049,
      0.2717,
      0.2797,
      0.23,
      0.2028,
      0.407,
      0.2548,
      0.26,
      0.4334,
      0.3728,
      0.1438,
      0.2462,
      0.2327,
      0.2318,
      0.424,
      0.2108,
      0.3616,
      0.0994,
      0.19,
      0.3635,
      0.1876,
      0.3307,
      0.3189,
      0.2607,
      0.2838,
      0.3166,
      0.2972,
      0.0756,
      0.0571,
      0.3199,
      0.2618,
      0.0803,
      0.194,
      0.2537,
      0.201,
      0.4439,
      0.5626,
      0.3417,
      0.3918,
      0.3034,
      0.0124,
      0.1322,
      0.1985,
      0.163,
      0.1994,
      0.0881,
      0.0723,
      0.256,
      0.3217,
      0.3358,
      0.2749,
      0.1123,
      0.296,
      0.5357,
      0.2068,
      0.3213,
      0.2913,
      0.2976,
      0.1351,
      0.1694,
      0.2018,
      0.2782,
      0.4073,
      0.3969,
      0.4529,
      0.3518,
      0.2258,
      0.2834,
      0.2494,
      0.2531,
      0.2965,
      0.0539,
      0.1658,
      0.0865,
      0.3501,
      0.3076,
      0.208,
      0.1381,
      0.103,
      0.1302,
      0.3001,
      0.2221,
      0.0871,
      0.0409,
      0.4,
      0.4577,
      0.3272,
      0.4125,
      0.1716,
      0.31,
      0.1269,
      0.2063,
      0.261,
      0.4342,
      0.2409,
      0.186,
      0.2243,
      0.3641,
      0.3933,
      0.4503,
      0.2421,
      0.1213,
      0.1657,
      0.3214,
      0.1702,
      0.1028,
      0,
      0.2463,
      0.449,
      0.3543,
      0.3163,
      0.2309,
      0.3359,
      0.2263,
      0.2008,
      0.0948,
      0.3038,
      0.1959,
      0.2275,
      0.3334,
      0.37,
      0.1973,
      0.2255,
      0.0887,
      0.1196,
      0.1033,
      0.2495,
      0.1335,
      0.268,
      0.2901,
      0.3938,
      0.3911,
      0.3379,
      0.35,
      0.2572,
      0.4102,
      0.1605,
      0.5603,
      0.4853,
      0.3209,
      0.1821,
      0.3492,
      0.43,
      0.3912,
      0.4522,
      0.4022,
      0.3154,
      0.2716,
      0.1917,
      0.0963,
      0.1792,
      0.2065,
      0.3946,
      0.4225,
      0.186,
      0.1959,
      0.1344,
      0.3575,
      0.411,
      0.3913,
      0.2649,
      0.4588,
      0.4075,
      0.0598,
      0.1274,
      0.2115,
      0.0908,
      0.1602,
      0.2526,
      0.3871,
      0.1714,
      0.3636,
      0.3411,
      0.2678,
      0.1634,
      0.2458,
      0.3457,
      0.2806,
      0.2699,
      0.1676,
      0.2299,
      0.1265,
      0.2389,
      0.4068,
      0.253,
      0.2186,
      0.1748,
      0.1259,
      0.0643,
      0.2841,
      0.3382,
      0.4289,
      0.3629,
      0.4125,
      0.244,
      0.4017,
      0.4596,
      0.4897,
      0.3002,
      0.3867,
      0.4098,
      0.3363,
      0.4019,
      0.3863,
      0.4244,
      0.4196,
      0.2923,
      0.424,
      0.373,
      0.4454,
      0.433,
      0.3306,
      0.3395,
      0.2516,
      0.434,
      0.2948,
      0.1838,
      0.3603,
      0.3867,
      0.2966,
      0.2134,
      0.41,
      0.3207,
      0.2875,
      0.2697,
      0.2301,
      0.1601,
      0.2925,
      0.3542,
      0.1795,
      0.3899,
      0.2035,
      0.341,
      0.4256,
      0.331,
      0.3783,
      0.3638,
      0.3081,
      0.3824,
      0.2826,
      0.2689,
      0.2457,
      0.2642,
      0.3208,
      0.1425,
      0.2954,
      0.2274,
      0.3298,
      0.44,
      0.3476,
      0.3541,
      0.2179,
      0.1934,
      0.0501,
      0.0435,
      0.2651,
      0,
      0.068,
      0.25,
      0.1565,
      0.0131,
      0.2221,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2102,
      0.144,
      0.0997,
      0.1083,
      0.1604,
      0.0484,
      0.13,
      0.161,
      0.216,
      0.1288,
      0,
      0.259,
      0.1391,
      0.0862,
      0.4604,
      0.1437,
      0,
      0.1023,
      0.248,
      0.2909,
      0.1001,
      0.1105,
      0,
      0.0558,
      0.3443,
      0.0129,
      0.3026,
      0,
      0.0416,
      0.2137,
      0.3028,
      0.2801,
      0.1881,
      0.1627,
      0.304,
      0.2679,
      0.3042,
      0.3417,
      0.2159,
      0.114,
      0.2576,
      0.245,
      0.2686,
      0.3938,
      0.2073,
      0.3625,
      0.0805,
      0.2313,
      0.3321,
      0.2368,
      0.1841,
      0.3214,
      0.0996,
      0.3164,
      0.2784,
      0.2789,
      0.1509,
      0.0698,
      0.334,
      0.2682,
      0.1386,
      0.2166,
      0.2444,
      0.1753,
      0.3871,
      0.3692,
      0.3254,
      0.3341,
      0.2384,
      0.1185,
      0.1541,
      0.2462,
      0.1076,
      0.1797,
      0.0518,
      0.1421,
      0.2344,
      0.428,
      0.2827,
      0.2967,
      0.1377,
      0.3391,
      0.5526,
      0.1767,
      0.3195,
      0.2051,
      0.2694,
      0.1894,
      0.1498,
      0.2026,
      0.229,
      0.3461,
      0.3747,
      0.3519,
      0.3674,
      0.1713,
      0.3499,
      0.2381,
      0.4812,
      0.3274,
      0.073,
      0.3459,
      0.0477,
      0.3487,
      0.3053,
      0.1939,
      0.104,
      0.1384,
      0.0308,
      0.2582,
      0.2313,
      0.0484,
      0.0547,
      0.354,
      0.3927,
      0.345,
      0.4257,
      0.1564,
      0.2674,
      0.1176,
      0.2198,
      0.3325,
      0.2118,
      0.1313,
      0.1403,
      0.2307,
      0.412,
      0.3589,
      0.3167,
      0.22,
      0.1511,
      0.1499,
      0.1305,
      0.1373,
      0.1445,
      0.041,
      0.3281,
      0.3651,
      0.2735,
      0.3262,
      0.2828,
      0.4144,
      0.2391,
      0.1793,
      0.1488,
      0.3167,
      0.2675,
      0.2944,
      0.3869,
      0.4478,
      0.223,
      0.2146,
      0.1895,
      0.1766,
      0.2013,
      0.229,
      0.1726,
      0.2641,
      0.2672,
      0.3271,
      0.3348,
      0.3325,
      0.3416,
      0.2699,
      0.3296,
      0.1866,
      0.4913,
      0.4575,
      0.3754,
      0.2374,
      0.3446,
      0.445,
      0.3319,
      0.4258,
      0.3512,
      0.3077,
      0.1681,
      0.2636,
      0.0996,
      0.1694,
      0.197,
      0.3658,
      0.3878,
      0.2613,
      0.1527,
      0.1807,
      0.357,
      0.3669,
      0.3619,
      0.1854,
      0.3395,
      0.3614,
      0.1142,
      0.1297,
      0.27,
      0.1687,
      0.1548,
      0.2552,
      0.2163,
      0.158,
      0.2826,
      0.3364,
      0.327,
      0.1921,
      0.1828,
      0.3572,
      0.1726,
      0.3852,
      0.1787,
      0.2096,
      0.138,
      0.3212,
      0.4586,
      0.1885,
      0.192,
      0.2515,
      0.1285,
      0.1113,
      0.2646,
      0.1822,
      0.1618,
      0.2817,
      0.3563,
      0.2908,
      0.3073,
      0.4009,
      0.3931,
      0.2675,
      0.2891,
      0.3098,
      0.23,
      0.2649,
      0.2985,
      0.2631,
      0.3269,
      0.3216,
      0.3455,
      0.3523,
      0.4449,
      0.4588,
      0.3909,
      0.3899,
      0.2711,
      0.4266,
      0.3457,
      0.2776,
      0.3322,
      0.2066,
      0.3151,
      0.2686,
      0.4432,
      0.3976,
      0.3925,
      0.296,
      0.3343,
      0.2867,
      0.2433,
      0.3454,
      0.2527,
      0.3647,
      0.1924,
      0.3646,
      0.4717,
      0.3161,
      0.3572,
      0.2998,
      0.3835,
      0.3281,
      0.2813,
      0.2813,
      0.2559,
      0.2576,
      0.3923,
      0.1451,
      0.3806,
      0.2004,
      0.3396,
      0.4856,
      0.3231,
      0.36,
      0.2481,
      0.2439,
      0.1259,
      0.0411,
      0.3847,
      0.0046,
      0.0624,
      0.1979,
      0.2061,
      0.1009,
      0.2975,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1982,
      0.2073,
      0.017,
      0.0939,
      0.1961,
      0.0261,
      0.1542,
      0.1143,
      0.2039,
      0.1106,
      0,
      0.2506,
      0.2813,
      0.0793,
      0.3978,
      0.1667,
      0,
      0.1407,
      0.2003,
      0.3342,
      0.1079,
      0.0993,
      0,
      0,
      0.2908,
      0.1316,
      0.3381,
      0.0555,
      0.0662,
      0.2411,
      0.1854,
      0.3043,
      0.2638,
      0.1849,
      0.3744,
      0.3088,
      0.3381,
      0.4067,
      0.2552,
      0.0356,
      0.2296,
      0.3134,
      0.2589,
      0.4375,
      0.1802,
      0.3136,
      0.0846,
      0.2049,
      0.3007,
      0.2324,
      0.1946,
      0.3031,
      0.1617,
      0.3207,
      0.2878,
      0.3213,
      0.1298,
      0,
      0.3517,
      0.3314,
      0.1672,
      0.1998,
      0.3297,
      0.1817,
      0.3881,
      0.4517,
      0.2678,
      0.3357,
      0.3061,
      0.1321,
      0.199,
      0.2429,
      0.1764,
      0.1802,
      0.0096,
      0.1008,
      0.2644,
      0.4582,
      0.3311,
      0.2715,
      0.2726,
      0.3304,
      0.5891,
      0.1862,
      0.2773,
      0.1954,
      0.1743,
      0.0223,
      0.1619,
      0.2307,
      0.3076,
      0.3402,
      0.3714,
      0.4208,
      0.4324,
      0.2514,
      0.3776,
      0.2477,
      0.4325,
      0.3126,
      0.111,
      0.421,
      0.1228,
      0.3307,
      0.314,
      0.2085,
      0.107,
      0.0608,
      0.1183,
      0.2536,
      0.2206,
      0.0118,
      0.1108,
      0.2472,
      0.3695,
      0.3059,
      0.3562,
      0.1875,
      0.1943,
      0.1317,
      0.2428,
      0.3202,
      0.216,
      0.1588,
      0.2389,
      0.1231,
      0.3827,
      0.3797,
      0.353,
      0.3505,
      0.2143,
      0.2467,
      0.2048,
      0.1946,
      0.1482,
      0.1119,
      0.3138,
      0.4266,
      0.3568,
      0.3202,
      0.1958,
      0.6032,
      0.2524,
      0.1543,
      0.3227,
      0.3424,
      0.3565,
      0.1801,
      0.3703,
      0.3125,
      0.3548,
      0.2006,
      0.1667,
      0.162,
      0.1129,
      0.15,
      0.1698,
      0.2433,
      0.235,
      0.4016,
      0.2695,
      0.3015,
      0.3694,
      0.267,
      0.3652,
      0.1688,
      0.4853,
      0.4413,
      0.3985,
      0.2538,
      0.3864,
      0.417,
      0.3355,
      0.3815,
      0.3881,
      0.2825,
      0.3515,
      0.2695,
      0.246,
      0.1689,
      0.1537,
      0.1773,
      0.4004,
      0.1855,
      0.1732,
      0.3444,
      0.3463,
      0.3712,
      0.373,
      0.1807,
      0.3606,
      0.3274,
      0.1558,
      0.2472,
      0.2682,
      0.2166,
      0.1909,
      0.2135,
      0.2295,
      0.1886,
      0.2239,
      0.3299,
      0.2982,
      0.2401,
      0.2303,
      0.345,
      0.2726,
      0.2091,
      0.2008,
      0.2024,
      0.1082,
      0.3868,
      0.4902,
      0.153,
      0.2421,
      0.2168,
      0.1592,
      0.117,
      0.21,
      0.1598,
      0.268,
      0.253,
      0.3213,
      0.2258,
      0.3829,
      0.4255,
      0.4642,
      0.2233,
      0.2908,
      0.2345,
      0.2898,
      0.3038,
      0.2643,
      0.3184,
      0.309,
      0.3563,
      0.3376,
      0.4909,
      0.4689,
      0.3896,
      0.4029,
      0.3621,
      0.2811,
      0.452,
      0.2812,
      0.3327,
      0.3133,
      0.2018,
      0.3168,
      0.1843,
      0.4471,
      0.4312,
      0.3372,
      0.3057,
      0.3228,
      0.2631,
      0.2257,
      0.349,
      0.298,
      0.3592,
      0.1491,
      0.3352,
      0.4097,
      0.3855,
      0.3762,
      0.2854,
      0.3151,
      0.4071,
      0.3263,
      0.3729,
      0.2374,
      0.2741,
      0.35,
      0.1573,
      0.2586,
      0.4579,
      0.3869,
      0.3386,
      0.2241,
      0.4811,
      0.2526,
      0.2614,
      0.1376,
      0.0921,
      0.3411,
      0.093,
      0.0603,
      0.1557,
      0.2522,
      0.1106,
      0.1804,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1949,
      0.1643,
      0.0751,
      0.0745,
      0.0856,
      0.0321,
      0.1488,
      0.2331,
      0.2758,
      0.1072,
      0,
      0.2879,
      0.2242,
      0,
      0.4242,
      0.189,
      0.0272,
      0.0906,
      0.1632,
      0.2553,
      0.139,
      0.1079,
      0,
      0.0279,
      0.2885,
      0.0643,
      0.3325,
      0,
      0.0361,
      0.2995,
      0.2561,
      0.2857,
      0.1653,
      0.1802,
      0.359,
      0.3673,
      0.2547,
      0.3049,
      0.1982,
      0.0706,
      0.2522,
      0.3412,
      0.2365,
      0.3511,
      0.1875,
      0.3153,
      0.1399,
      0.1927,
      0.2409,
      0.1937,
      0.2398,
      0.2884,
      0.12,
      0.3056,
      0.3407,
      0.2906,
      0.1649,
      0.0283,
      0.3399,
      0.2271,
      0.0718,
      0.2926,
      0.3493,
      0.2559,
      0.3637,
      0.4297,
      0.2612,
      0.3704,
      0.3458,
      0.0998,
      0.2554,
      0.3029,
      0.1952,
      0.2864,
      0.156,
      0.1163,
      0.1787,
      0.3879,
      0.3196,
      0.325,
      0.2617,
      0.3156,
      0.5126,
      0.1997,
      0.3238,
      0.2258,
      0.1489,
      0.0777,
      0.1694,
      0.2194,
      0.2416,
      0.277,
      0.4273,
      0.4497,
      0.3708,
      0.2144,
      0.3875,
      0.2197,
      0.2756,
      0.247,
      0.1345,
      0.181,
      0.0589,
      0.4676,
      0.331,
      0.2361,
      0.1489,
      0.1126,
      0.0428,
      0.3216,
      0.1974,
      0.0648,
      0.0297,
      0.3584,
      0.3527,
      0.3635,
      0.4348,
      0.2003,
      0.2281,
      0.0539,
      0.2532,
      0.213,
      0.1772,
      0.2058,
      0.2399,
      0.198,
      0.3723,
      0.4464,
      0.3312,
      0.3261,
      0.2116,
      0.343,
      0.2601,
      0.1873,
      0.1418,
      0.1187,
      0.3658,
      0.362,
      0.345,
      0.285,
      0.2499,
      0.557,
      0.2478,
      0.1812,
      0.3537,
      0.337,
      0.1966,
      0.3124,
      0.3629,
      0.3869,
      0.322,
      0.2155,
      0.2009,
      0.2392,
      0.219,
      0.2,
      0.2439,
      0.2491,
      0.2509,
      0.3508,
      0.3271,
      0.3277,
      0.3465,
      0.2213,
      0.3478,
      0.2018,
      0.467,
      0.4264,
      0.4129,
      0.247,
      0.3641,
      0.3286,
      0.3984,
      0.4376,
      0.3804,
      0.2874,
      0.2698,
      0.2481,
      0.2131,
      0.2798,
      0.1681,
      0.2102,
      0.3683,
      0.1592,
      0.1698,
      0.3863,
      0.3079,
      0.3605,
      0.3849,
      0.16,
      0.3595,
      0.318,
      0.2626,
      0.3073,
      0.2629,
      0.211,
      0.2481,
      0.3251,
      0.2013,
      0.2459,
      0.2903,
      0.3683,
      0.3239,
      0.2601,
      0.169,
      0.4028,
      0.3191,
      0.2966,
      0.2153,
      0.198,
      0.1464,
      0.3501,
      0.4845,
      0.2621,
      0.2591,
      0.2774,
      0.1982,
      0.0574,
      0.2427,
      0.212,
      0.284,
      0.2675,
      0.3244,
      0.2249,
      0.3519,
      0.4404,
      0.3488,
      0.2423,
      0.219,
      0.2763,
      0.216,
      0.2057,
      0.2684,
      0.3015,
      0.2503,
      0.2291,
      0.358,
      0.4486,
      0.4363,
      0.405,
      0.2511,
      0.3398,
      0.4065,
      0.4677,
      0.2743,
      0.2822,
      0.278,
      0.1655,
      0.3451,
      0.2101,
      0.4515,
      0.3821,
      0.3391,
      0.3681,
      0.3453,
      0.2235,
      0.2462,
      0.3642,
      0.2443,
      0.3789,
      0.2118,
      0.2838,
      0.3756,
      0.3014,
      0.3916,
      0.297,
      0.3167,
      0.5018,
      0.4796,
      0.4118,
      0.2599,
      0.2584,
      0.3524,
      0.186,
      0.3133,
      0.3228,
      0.4275,
      0.512,
      0.2226,
      0.3205,
      0.2635,
      0.2088,
      0.0977,
      0.1466,
      0.2314,
      0.0659,
      0.0742,
      0.1911,
      0.2251,
      0.1602,
      0.0791,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1385,
      0.2759,
      0,
      0.1569,
      0.1012,
      0.0417,
      0.0492,
      0.3044,
      0.2764,
      0.1154,
      0,
      0.289,
      0.0636,
      0.0716,
      0.39,
      0.2025,
      0.0574,
      0.168,
      0.1117,
      0.2988,
      0.0902,
      0.0755,
      0,
      0,
      0.3568,
      0.0429,
      0.437,
      0,
      0.0905,
      0.2795,
      0.2434,
      0.2517,
      0.2103,
      0.1565,
      0.3621,
      0.3466,
      0.4068,
      0.2919,
      0.2553,
      0.0415,
      0.2403,
      0.3225,
      0.2843,
      0.4464,
      0.2378,
      0.2454,
      0.1127,
      0.1981,
      0.239,
      0.2882,
      0.1932,
      0.2986,
      0.2004,
      0.3398,
      0.3252,
      0.2889,
      0.1133,
      0.0672,
      0.3167,
      0.1536,
      0.1099,
      0.1977,
      0.271,
      0.2799,
      0.3757,
      0.4256,
      0.2907,
      0.4339,
      0.3274,
      0.1055,
      0.1034,
      0.2315,
      0.1507,
      0.1599,
      0.1288,
      0.1318,
      0.233,
      0.3263,
      0.357,
      0.2884,
      0.2077,
      0.4007,
      0.4565,
      0.1618,
      0.3095,
      0.0879,
      0.1022,
      0.1531,
      0.1636,
      0.2203,
      0.2262,
      0.3428,
      0.4301,
      0.5179,
      0.417,
      0.0579,
      0.4018,
      0.247,
      0.2721,
      0.2855,
      0.1157,
      0.1564,
      0.0739,
      0.452,
      0.2967,
      0.1788,
      0.2005,
      0.125,
      0.076,
      0.2798,
      0.1722,
      0.1747,
      0.0519,
      0.3386,
      0.391,
      0.3015,
      0.4323,
      0.1585,
      0.1949,
      0.0918,
      0.2549,
      0.2954,
      0.3443,
      0.1984,
      0.1241,
      0.1314,
      0.4985,
      0.4184,
      0.2855,
      0.3204,
      0.2203,
      0.1286,
      0.2752,
      0.1995,
      0.1809,
      0.0528,
      0.3208,
      0.408,
      0.3998,
      0.3668,
      0.2242,
      0.488,
      0.2053,
      0.2532,
      0.2296,
      0.3265,
      0.1166,
      0.3488,
      0.3705,
      0.3234,
      0.2991,
      0.2466,
      0.1985,
      0.1965,
      0.1491,
      0.231,
      0.2444,
      0.2849,
      0.2869,
      0.3381,
      0.3652,
      0.3236,
      0.3416,
      0.2183,
      0.3832,
      0.039,
      0.517,
      0.4543,
      0.515,
      0.2745,
      0.3936,
      0.3893,
      0.3238,
      0.4602,
      0.3418,
      0.2882,
      0.3599,
      0.2526,
      0.2294,
      0.2493,
      0.1201,
      0.1219,
      0.3682,
      0.2207,
      0.1701,
      0.3591,
      0.2685,
      0.3326,
      0.2641,
      0.2515,
      0.3671,
      0.3299,
      0.2063,
      0.1815,
      0.2169,
      0.2445,
      0.2506,
      0.2331,
      0.2336,
      0.146,
      0.3012,
      0.3858,
      0.2257,
      0.2663,
      0.2499,
      0.3797,
      0.3023,
      0.3665,
      0.1637,
      0.2088,
      0.1454,
      0.3669,
      0.4238,
      0.2666,
      0.249,
      0.2578,
      0.1753,
      0.0021,
      0.2108,
      0.2634,
      0.3332,
      0.2222,
      0.2583,
      0.2091,
      0.4352,
      0.4137,
      0.3979,
      0.2369,
      0.2928,
      0.3005,
      0.2543,
      0.3852,
      0.3933,
      0.3261,
      0.3206,
      0.2602,
      0.3635,
      0.3501,
      0.3971,
      0.4399,
      0.315,
      0.2969,
      0.3453,
      0.4788,
      0.2242,
      0.3175,
      0.2855,
      0.1183,
      0.2826,
      0.1802,
      0.4488,
      0.3588,
      0.3066,
      0.2411,
      0.2491,
      0.2351,
      0.2814,
      0.2913,
      0.1953,
      0.4247,
      0.1808,
      0.3273,
      0.3908,
      0.3802,
      0.4165,
      0.3438,
      0.32,
      0.3237,
      0.2611,
      0.153,
      0.1401,
      0.17,
      0.3762,
      0.1363,
      0.34,
      0.296,
      0.3522,
      0.4269,
      0.2449,
      0.2891,
      0.2059,
      0.178,
      0.0489,
      0.0557,
      0.2881,
      0,
      0.0068,
      0.1686,
      0.2304,
      0.3345,
      0.1023,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2108,
      0.2724,
      0.0516,
      0.2126,
      0.1028,
      0.0212,
      0.1321,
      0.3144,
      0.1468,
      0.0612,
      0,
      0.2885,
      0.0935,
      0.1254,
      0.4111,
      0.1847,
      0.0251,
      0.1585,
      0.0825,
      0.2403,
      0.1289,
      0.1429,
      0,
      0,
      0.3687,
      0.0525,
      0.4278,
      0.059,
      0.0263,
      0.2663,
      0.2333,
      0.3308,
      0.3224,
      0.1861,
      0.3806,
      0.3188,
      0.5832,
      0.2369,
      0.272,
      0.0135,
      0.1635,
      0.2473,
      0.1915,
      0.4719,
      0.2898,
      0.3669,
      0.1724,
      0.1937,
      0.1391,
      0.2227,
      0.1826,
      0.3743,
      0.1743,
      0.3331,
      0.3423,
      0.2838,
      0.1451,
      0.1144,
      0.2993,
      0.2122,
      0.1445,
      0.1741,
      0.2198,
      0.2412,
      0.4374,
      0.5397,
      0.2342,
      0.486,
      0.3049,
      0.0622,
      0.1609,
      0.2378,
      0.1775,
      0.1839,
      0.1289,
      0.1422,
      0.2822,
      0.397,
      0.3912,
      0.2583,
      0.1559,
      0.3399,
      0.4931,
      0.2398,
      0.2428,
      0.1542,
      0.1429,
      0.0943,
      0.1072,
      0.2583,
      0.1202,
      0.3773,
      0.4076,
      0.4867,
      0.3784,
      0.2278,
      0.3757,
      0.2542,
      0.1392,
      0.2877,
      0.1996,
      0.1633,
      0.0563,
      0.4359,
      0.312,
      0.1713,
      0.2036,
      0.096,
      0.0622,
      0.2579,
      0.1707,
      0.2472,
      0.1283,
      0.3265,
      0.3493,
      0.2947,
      0.4646,
      0.1174,
      0.301,
      0.0747,
      0.2201,
      0.3935,
      0.3721,
      0.2618,
      0.1587,
      0.2005,
      0.467,
      0.334,
      0.3446,
      0.3553,
      0.204,
      0.1396,
      0.2372,
      0.2598,
      0.1783,
      0.0009,
      0.2743,
      0.3843,
      0.3429,
      0.3249,
      0.3411,
      0.2645,
      0.2058,
      0.1991,
      0.1671,
      0.3341,
      0.0874,
      0.2717,
      0.3465,
      0.3409,
      0.1754,
      0.2512,
      0.1991,
      0.1102,
      0.1832,
      0.2162,
      0.159,
      0.299,
      0.2241,
      0.3569,
      0.3344,
      0.3094,
      0.3676,
      0.1298,
      0.3738,
      0.1545,
      0.5076,
      0.4903,
      0.4054,
      0.2879,
      0.3657,
      0.4127,
      0.3771,
      0.4946,
      0.3439,
      0.323,
      0.3339,
      0.2531,
      0.2352,
      0.3085,
      0.2164,
      0.1947,
      0.3493,
      0.1889,
      0.1728,
      0.3012,
      0.3208,
      0.3507,
      0.3614,
      0.26,
      0.4274,
      0.3421,
      0.3334,
      0.2986,
      0.2736,
      0.2822,
      0.273,
      0.2258,
      0.2456,
      0.1444,
      0.3998,
      0.3606,
      0.2927,
      0.2925,
      0.3334,
      0.3871,
      0.2696,
      0.2719,
      0.1719,
      0.205,
      0.123,
      0.3718,
      0.4427,
      0.3109,
      0.2919,
      0.2525,
      0.2402,
      0.1161,
      0.2291,
      0.2956,
      0.4168,
      0.372,
      0.2868,
      0.344,
      0.3214,
      0.347,
      0.3577,
      0.1814,
      0.2712,
      0.4123,
      0.3389,
      0.4288,
      0.4684,
      0.3276,
      0.4194,
      0.3539,
      0.4647,
      0.3149,
      0.3462,
      0.3565,
      0.2824,
      0.3391,
      0.3681,
      0.4547,
      0.3168,
      0.2288,
      0.3264,
      0.258,
      0.3165,
      0.3424,
      0.3879,
      0.279,
      0.3137,
      0.225,
      0.2489,
      0.2248,
      0.2892,
      0.331,
      0.251,
      0.4039,
      0.1187,
      0.2159,
      0.4151,
      0.4268,
      0.289,
      0.3007,
      0.3641,
      0.3924,
      0.3549,
      0.273,
      0.3226,
      0.2706,
      0.4121,
      0.1129,
      0.2442,
      0.3891,
      0.3581,
      0.4951,
      0.3196,
      0.2665,
      0.2641,
      0.3462,
      0.0911,
      0.1483,
      0.2729,
      0,
      0.0154,
      0.1251,
      0.2818,
      0.1597,
      0.0423,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0945,
      0.1751,
      0.1402,
      0.1798,
      0.0782,
      0.0907,
      0.0843,
      0.179,
      0.1823,
      0.096,
      0,
      0.2249,
      0.103,
      0.2031,
      0.3246,
      0.1721,
      0.0143,
      0.1215,
      0.1832,
      0.3255,
      0.1399,
      0.0833,
      0,
      0,
      0.3569,
      0.0446,
      0.3101,
      0.049,
      0.1555,
      0.272,
      0.2656,
      0.2441,
      0.2201,
      0.1333,
      0.3858,
      0.2357,
      0.3839,
      0.4162,
      0.1818,
      0.0133,
      0.1766,
      0.3074,
      0.2387,
      0.3771,
      0.2842,
      0.3267,
      0.1399,
      0.2283,
      0.2155,
      0.204,
      0.2697,
      0.3643,
      0.1526,
      0.2661,
      0.34,
      0.2869,
      0.1003,
      0.1285,
      0.2748,
      0.2529,
      0.179,
      0.1301,
      0.2095,
      0.1797,
      0.3344,
      0.4298,
      0.1796,
      0.4404,
      0.3342,
      0.189,
      0.1692,
      0.2554,
      0.1486,
      0.2094,
      0.0746,
      0.1216,
      0.2402,
      0.4397,
      0.3925,
      0.1919,
      0.1768,
      0.29,
      0.426,
      0.2615,
      0.2503,
      0.2235,
      0.0918,
      0.0583,
      0.1979,
      0.2375,
      0.1914,
      0.3525,
      0.4199,
      0.4215,
      0.3583,
      0.2736,
      0.4022,
      0.2762,
      0.2241,
      0.2935,
      0.2154,
      0.1937,
      0.0441,
      0.4474,
      0.2957,
      0.2049,
      0.1562,
      0.1114,
      0.0818,
      0.2731,
      0.2028,
      0.1159,
      0.0832,
      0.3873,
      0.3382,
      0.4019,
      0.414,
      0.1687,
      0.2105,
      0.071,
      0.2486,
      0.3269,
      0.3033,
      0.2621,
      0.2063,
      0.2524,
      0.3476,
      0.3468,
      0.2738,
      0.2765,
      0.26,
      0.2081,
      0.2506,
      0.2262,
      0.2076,
      0.076,
      0.3246,
      0.366,
      0.3172,
      0.2657,
      0.2698,
      0.2546,
      0.1556,
      0.2219,
      0.1944,
      0.3565,
      0.1982,
      0.2747,
      0.3419,
      0.3726,
      0.3256,
      0.2233,
      0.0962,
      0.1442,
      0.1508,
      0.2173,
      0.2434,
      0.2841,
      0.2834,
      0.3947,
      0.3438,
      0.3187,
      0.2964,
      0.162,
      0.3918,
      0.1773,
      0.5108,
      0.4857,
      0.3218,
      0.2579,
      0.3377,
      0.3827,
      0.3748,
      0.4477,
      0.4254,
      0.2676,
      0.3104,
      0.2776,
      0.2984,
      0.2521,
      0.157,
      0.1398,
      0.3777,
      0.1701,
      0.2129,
      0.2161,
      0.2864,
      0.4173,
      0.4439,
      0.2951,
      0.3697,
      0.31,
      0.1881,
      0.2199,
      0.2691,
      0.24,
      0.2123,
      0.2647,
      0.3196,
      0.1596,
      0.4139,
      0.3593,
      0.231,
      0.1975,
      0.2573,
      0.351,
      0.2842,
      0.316,
      0.2016,
      0.1705,
      0.1726,
      0.3524,
      0.4637,
      0.2272,
      0.2142,
      0.2461,
      0.1017,
      0.124,
      0.121,
      0.2804,
      0.3514,
      0.3331,
      0.3213,
      0.3002,
      0.3447,
      0.3962,
      0.3867,
      0.2166,
      0.3216,
      0.2468,
      0.3182,
      0.3956,
      0.4528,
      0.3874,
      0.2685,
      0.3099,
      0.4284,
      0.3201,
      0.4551,
      0.4354,
      0.2689,
      0.2729,
      0.2429,
      0.426,
      0.2436,
      0.261,
      0.2201,
      0.2274,
      0.2673,
      0.3174,
      0.4413,
      0.378,
      0.2705,
      0.194,
      0.2783,
      0.1821,
      0.277,
      0.299,
      0.2413,
      0.3283,
      0.1222,
      0.2887,
      0.4958,
      0.3822,
      0.349,
      0.348,
      0.3074,
      0.3376,
      0.351,
      0.2973,
      0.2876,
      0.3291,
      0.3712,
      0.0825,
      0.3589,
      0.3787,
      0.3262,
      0.4203,
      0.3174,
      0.2669,
      0.2437,
      0.2573,
      0.1087,
      0.1166,
      0.2988,
      0.0441,
      0.0698,
      0.0934,
      0.2704,
      0.2292,
      0.039,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.14,
      0.1537,
      0.1466,
      0.0771,
      0.146,
      0.1137,
      0.0329,
      0.2476,
      0.2225,
      0.1761,
      0,
      0.1794,
      0.1695,
      0.2116,
      0.4243,
      0.1699,
      0.0313,
      0.068,
      0.1886,
      0.3107,
      0.1225,
      0.1025,
      0,
      0.0188,
      0.4257,
      0.071,
      0.3424,
      0,
      0.1686,
      0.1805,
      0.3021,
      0.2423,
      0.2168,
      0.1978,
      0.3602,
      0.3428,
      0.2998,
      0.352,
      0.207,
      0,
      0.2772,
      0.2782,
      0.2619,
      0.4893,
      0.2686,
      0.3401,
      0.1493,
      0.1911,
      0.2064,
      0.1827,
      0.3081,
      0.3094,
      0.1575,
      0.3854,
      0.3108,
      0.3418,
      0.1355,
      0.0369,
      0.2428,
      0.2436,
      0.0673,
      0.2034,
      0.2436,
      0.2332,
      0.2813,
      0.4863,
      0.2899,
      0.4232,
      0.3393,
      0.1658,
      0.2082,
      0.1937,
      0.1454,
      0.2692,
      0.1198,
      0.1292,
      0.2943,
      0.3959,
      0.3817,
      0.2304,
      0.1984,
      0.3363,
      0.4409,
      0.1928,
      0.2173,
      0.2228,
      0.129,
      0.0514,
      0.159,
      0.226,
      0.2411,
      0.3451,
      0.4173,
      0.3998,
      0.3771,
      0.1571,
      0.3905,
      0.2481,
      0.2376,
      0.1762,
      0.0952,
      0.1651,
      0.0804,
      0.376,
      0.3452,
      0.1452,
      0.0768,
      0.0831,
      0.1174,
      0.2446,
      0.199,
      0.0699,
      0.0624,
      0.3592,
      0.4279,
      0.2874,
      0.419,
      0.1331,
      0.2001,
      0.0924,
      0.1818,
      0.2873,
      0.3111,
      0.2267,
      0.2573,
      0.1941,
      0.4134,
      0.3868,
      0.3014,
      0.2036,
      0.2883,
      0.3353,
      0.3277,
      0.2185,
      0.2222,
      0.1625,
      0.3477,
      0.3967,
      0.2565,
      0.3847,
      0.2367,
      0.2495,
      0.2206,
      0.1752,
      0.103,
      0.4013,
      0.1295,
      0.3352,
      0.3951,
      0.3409,
      0.2847,
      0.1924,
      0.201,
      0.1488,
      0.2336,
      0.3027,
      0.1501,
      0.2328,
      0.2828,
      0.3889,
      0.3878,
      0.3304,
      0.2642,
      0.1971,
      0.3469,
      0.1344,
      0.5045,
      0.4795,
      0.2257,
      0.2409,
      0.3007,
      0.2806,
      0.324,
      0.5055,
      0.4635,
      0.3303,
      0.2374,
      0.2227,
      0.3229,
      0.3219,
      0.1118,
      0.2302,
      0.4049,
      0.1412,
      0.1409,
      0.2525,
      0.2687,
      0.3761,
      0.4122,
      0.3276,
      0.4728,
      0.3147,
      0.2147,
      0.257,
      0.2928,
      0.2259,
      0.2857,
      0.2518,
      0.2706,
      0.2053,
      0.3455,
      0.392,
      0.2791,
      0.0387,
      0.2373,
      0.3881,
      0.2778,
      0.3136,
      0.1333,
      0.1975,
      0.1804,
      0.3216,
      0.4527,
      0.2058,
      0.2028,
      0.1973,
      0.0884,
      0.1334,
      0.1488,
      0.2324,
      0.345,
      0.3122,
      0.4359,
      0.1929,
      0.35,
      0.453,
      0.3505,
      0.1598,
      0.3135,
      0.3103,
      0.2406,
      0.3786,
      0.3868,
      0.2852,
      0.3213,
      0.324,
      0.4036,
      0.3026,
      0.3807,
      0.36,
      0.249,
      0.3575,
      0.3035,
      0.4,
      0.2625,
      0.3084,
      0.283,
      0.2426,
      0.2141,
      0.3088,
      0.4131,
      0.3107,
      0.2669,
      0.2965,
      0.2706,
      0.212,
      0.2703,
      0.2975,
      0.1342,
      0.3498,
      0.1378,
      0.2844,
      0.4484,
      0.368,
      0.36,
      0.3187,
      0.3302,
      0.4399,
      0.229,
      0.2654,
      0.2711,
      0.246,
      0.335,
      0.1017,
      0.295,
      0.3872,
      0.4431,
      0.4528,
      0.3487,
      0.3055,
      0.0796,
      0.2277,
      0.0839,
      0.1651,
      0.2405,
      0.0799,
      0.0396,
      0.1025,
      0.2181,
      0.1655,
      0.0457,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1498,
      0.2966,
      0.1832,
      0.1606,
      0.1821,
      0.0565,
      0.0219,
      0.2701,
      0.254,
      0.1449,
      0,
      0.2215,
      0.273,
      0.0832,
      0.4525,
      0.1945,
      0.0696,
      0.0586,
      0.2053,
      0.255,
      0.1194,
      0.1608,
      0,
      0.0228,
      0.4459,
      0.0487,
      0.4582,
      0.0378,
      0.0944,
      0.2198,
      0.2409,
      0.2434,
      0.2488,
      0.1414,
      0.3502,
      0.3045,
      0.2955,
      0.2847,
      0.1958,
      0.0724,
      0.2484,
      0.2538,
      0.3491,
      0.4198,
      0.2917,
      0.312,
      0.0909,
      0.206,
      0.2138,
      0.1492,
      0.3547,
      0.3145,
      0.1869,
      0.4702,
      0.3823,
      0.299,
      0.2168,
      0.0408,
      0.2078,
      0.3017,
      0.1486,
      0.1206,
      0.2032,
      0.2166,
      0.3379,
      0.5198,
      0.3365,
      0.4145,
      0.2849,
      0.1025,
      0.2197,
      0.2166,
      0.2309,
      0.2256,
      0.0769,
      0.1303,
      0.3087,
      0.363,
      0.3475,
      0.25,
      0.1988,
      0.3858,
      0.4854,
      0.1993,
      0.2376,
      0.1854,
      0.1904,
      0.1694,
      0.2053,
      0.3175,
      0.2338,
      0.4353,
      0.3778,
      0.4405,
      0.3839,
      0.225,
      0.3838,
      0.1949,
      0.1832,
      0.2602,
      0.1424,
      0.1217,
      0.1063,
      0.5131,
      0.3761,
      0.187,
      0.1413,
      0.0938,
      0.1309,
      0.224,
      0.1856,
      0.0902,
      0.0245,
      0.4022,
      0.4914,
      0.3814,
      0.495,
      0.1753,
      0.2495,
      0.1065,
      0.2157,
      0.2951,
      0.398,
      0.2459,
      0.2348,
      0.2388,
      0.4483,
      0.3764,
      0.1868,
      0.1667,
      0.2616,
      0.1544,
      0.2581,
      0.2315,
      0.213,
      0.1482,
      0.2732,
      0.3394,
      0.2471,
      0.3652,
      0.2274,
      0.278,
      0.2276,
      0.2293,
      0.1325,
      0.3935,
      0.1233,
      0.3432,
      0.4143,
      0.3534,
      0.275,
      0.1276,
      0.2152,
      0.1796,
      0.2551,
      0.2871,
      0.0741,
      0.2505,
      0.2395,
      0.3721,
      0.4729,
      0.3284,
      0.359,
      0.2156,
      0.3641,
      0.1136,
      0.5191,
      0.4772,
      0.3151,
      0.1863,
      0.3062,
      0.4503,
      0.4232,
      0.5659,
      0.3527,
      0.4125,
      0.3282,
      0.3085,
      0.3206,
      0.2012,
      0.0758,
      0.2466,
      0.3274,
      0.2024,
      0.1176,
      0.1945,
      0.2289,
      0.4008,
      0.4146,
      0.2322,
      0.4721,
      0.465,
      0.1005,
      0.1729,
      0.1816,
      0.2174,
      0.2338,
      0.3198,
      0.1858,
      0.2124,
      0.334,
      0.3548,
      0.2901,
      0.1247,
      0.2182,
      0.3487,
      0.2199,
      0.3168,
      0.1603,
      0.2393,
      0.2246,
      0.3582,
      0.397,
      0.2687,
      0.3016,
      0.3097,
      0.1463,
      0.134,
      0.2163,
      0.2968,
      0.3419,
      0.4214,
      0.3672,
      0.2997,
      0.3955,
      0.4264,
      0.4753,
      0.1164,
      0.3051,
      0.4204,
      0.3435,
      0.3892,
      0.3653,
      0.4376,
      0.4012,
      0.283,
      0.4115,
      0.3724,
      0.4584,
      0.4614,
      0.2768,
      0.3478,
      0.2075,
      0.3584,
      0.2953,
      0.2593,
      0.2727,
      0.2434,
      0.226,
      0.2409,
      0.4767,
      0.2699,
      0.2807,
      0.3184,
      0.2003,
      0.2058,
      0.2835,
      0.2685,
      0.1883,
      0.3676,
      0.1459,
      0.308,
      0.4676,
      0.3664,
      0.3544,
      0.2925,
      0.3237,
      0.3419,
      0.1551,
      0.1998,
      0.1359,
      0.2428,
      0.2464,
      0.093,
      0.3054,
      0.366,
      0.3641,
      0.464,
      0.3082,
      0.3225,
      0.1938,
      0.1956,
      0.1298,
      0.172,
      0.1513,
      0.0198,
      0.035,
      0.2097,
      0.2291,
      0.2044,
      0.0279,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1781,
      0.3749,
      0.0475,
      0.1985,
      0.1914,
      0.0502,
      0.0357,
      0.3267,
      0.25,
      0.1743,
      0,
      0.1905,
      0.301,
      0.0777,
      0.4262,
      0.1643,
      0.1347,
      0.1089,
      0.1625,
      0.3372,
      0.165,
      0.1122,
      0,
      0.0362,
      0.4615,
      0.0325,
      0.4241,
      0.0842,
      0.0634,
      0.2557,
      0.2854,
      0.2336,
      0.1694,
      0.2216,
      0.3093,
      0.2938,
      0.2733,
      0.4323,
      0.2773,
      0.1134,
      0.2031,
      0.2375,
      0.3386,
      0.4911,
      0.3011,
      0.3657,
      0.0719,
      0.2572,
      0.3183,
      0.1385,
      0.3985,
      0.3312,
      0.3189,
      0.4733,
      0.4231,
      0.3011,
      0.1209,
      0.0271,
      0.2014,
      0.2948,
      0.1658,
      0.2276,
      0.2713,
      0.1763,
      0.47,
      0.5979,
      0.1151,
      0.5324,
      0.3087,
      0.1193,
      0.1582,
      0.1286,
      0.1051,
      0.1252,
      0.1172,
      0.1658,
      0.2814,
      0.4263,
      0.2804,
      0.2411,
      0.1766,
      0.3545,
      0.4284,
      0.1813,
      0.2654,
      0.1204,
      0.1543,
      0.0952,
      0.1559,
      0.2825,
      0.211,
      0.3728,
      0.3594,
      0.4738,
      0.3845,
      0.2511,
      0.3788,
      0.2377,
      0.2678,
      0.2783,
      0.1672,
      0.1523,
      0.1182,
      0.5303,
      0.4322,
      0.2497,
      0.1675,
      0.0927,
      0.1458,
      0.2844,
      0.1749,
      0.0405,
      0.077,
      0.4822,
      0.3308,
      0.3944,
      0.4137,
      0.1578,
      0.2876,
      0.0942,
      0.2363,
      0.3278,
      0.4233,
      0.3965,
      0.2796,
      0.2911,
      0.3727,
      0.3962,
      0.3179,
      0.3525,
      0.1565,
      0.1248,
      0.2003,
      0.2202,
      0.1632,
      0.0845,
      0.2749,
      0.3962,
      0.2404,
      0.3364,
      0.2224,
      0.217,
      0.2693,
      0.1977,
      0.1218,
      0.4104,
      0.1203,
      0.3518,
      0.4035,
      0.3556,
      0.2301,
      0.1425,
      0.1905,
      0.1792,
      0.1969,
      0.2397,
      0.1095,
      0.2858,
      0.3088,
      0.3637,
      0.4278,
      0.3777,
      0.3744,
      0.1667,
      0.3556,
      0.0987,
      0.4377,
      0.3915,
      0.2643,
      0.2418,
      0.2649,
      0.5023,
      0.4698,
      0.5394,
      0.3852,
      0.3947,
      0.3743,
      0.3096,
      0.3221,
      0.2425,
      0.1093,
      0.2967,
      0.3747,
      0.181,
      0.1256,
      0.2412,
      0.2731,
      0.3712,
      0.3841,
      0.2052,
      0.4906,
      0.4098,
      0.0861,
      0.1115,
      0.2262,
      0.1615,
      0.1968,
      0.3047,
      0.0423,
      0.2047,
      0.3251,
      0.3666,
      0.2563,
      0.217,
      0.0944,
      0.3162,
      0.0838,
      0.1893,
      0.147,
      0.1581,
      0.1941,
      0.3631,
      0.3546,
      0.2811,
      0.2774,
      0.2723,
      0.1317,
      0.1594,
      0.2565,
      0.3157,
      0.4428,
      0.5397,
      0.381,
      0.399,
      0.427,
      0.4264,
      0.3999,
      0.1105,
      0.232,
      0.5371,
      0.4746,
      0.4228,
      0.4977,
      0.5018,
      0.5174,
      0.3076,
      0.4496,
      0.3239,
      0.3784,
      0.4193,
      0.3815,
      0.2983,
      0.2088,
      0.3527,
      0.2698,
      0.2102,
      0.2941,
      0.2417,
      0.1986,
      0.2505,
      0.4448,
      0.4432,
      0.2736,
      0.3134,
      0.2245,
      0.2092,
      0.2807,
      0.3539,
      0.2553,
      0.3705,
      0.1021,
      0.353,
      0.3917,
      0.4127,
      0.3715,
      0.2378,
      0.3003,
      0.2597,
      0.2063,
      0.186,
      0.247,
      0.1598,
      0.2976,
      0.0178,
      0.3279,
      0.3712,
      0.412,
      0.4427,
      0.3505,
      0.2414,
      0.1351,
      0.1287,
      0.151,
      0.0186,
      0.1827,
      0,
      0.0582,
      0.1956,
      0.1668,
      0.2388,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1813,
      0.329,
      0,
      0.2175,
      0.1995,
      0.0643,
      0.0602,
      0.221,
      0.274,
      0.2164,
      0,
      0.2178,
      0.0455,
      0.0556,
      0.4004,
      0.2037,
      0.234,
      0.0965,
      0.1079,
      0.3233,
      0.1196,
      0.1082,
      0,
      0.0646,
      0.4168,
      0.1043,
      0.4248,
      0.0196,
      0.1002,
      0.2398,
      0.2846,
      0.1777,
      0.2626,
      0.1901,
      0.321,
      0.3041,
      0.2447,
      0.2667,
      0.2751,
      0.0371,
      0.1944,
      0.1661,
      0.3456,
      0.419,
      0.2676,
      0.2403,
      0.0775,
      0.1149,
      0.2328,
      0.1806,
      0.2611,
      0.361,
      0.2032,
      0.3828,
      0.3362,
      0.3443,
      0.107,
      0.1289,
      0.1842,
      0.2345,
      0.1355,
      0.1852,
      0.3005,
      0.1467,
      0.4523,
      0.3823,
      0.1916,
      0.4574,
      0.2866,
      0.0765,
      0.165,
      0.0881,
      0.2547,
      0.1396,
      0.0884,
      0.1448,
      0.2776,
      0.286,
      0.4046,
      0.2336,
      0.1517,
      0.3477,
      0.4769,
      0.1473,
      0.2586,
      0.195,
      0.1057,
      0.0233,
      0.1445,
      0.3019,
      0.2382,
      0.418,
      0.3559,
      0.4912,
      0.4019,
      0.2177,
      0.3528,
      0.1865,
      0.2821,
      0.2582,
      0.1731,
      0.1759,
      0.0719,
      0.4794,
      0.4373,
      0.2202,
      0.1543,
      0.121,
      0.1049,
      0.1997,
      0.1961,
      0.1435,
      0.044,
      0.4331,
      0.3811,
      0.3463,
      0.4255,
      0.1908,
      0.2897,
      0.0898,
      0.2055,
      0.3623,
      0.3172,
      0.2446,
      0.2457,
      0.2631,
      0.4143,
      0.362,
      0.3173,
      0.2666,
      0.1416,
      0.1461,
      0.0883,
      0.2587,
      0.167,
      0.0514,
      0.3178,
      0.4471,
      0.3241,
      0.3419,
      0.3231,
      0.2922,
      0.2837,
      0.1658,
      0.153,
      0.3636,
      0.124,
      0.3654,
      0.3724,
      0.28,
      0.3175,
      0.2421,
      0.1952,
      0.1725,
      0.2258,
      0.2133,
      0.1281,
      0.2845,
      0.29,
      0.3686,
      0.4161,
      0.3267,
      0.3002,
      0.1469,
      0.325,
      0.0881,
      0.4513,
      0.3674,
      0.2922,
      0.222,
      0.2842,
      0.4243,
      0.4109,
      0.4371,
      0.3346,
      0.3916,
      0.3562,
      0.2533,
      0.3038,
      0.2469,
      0.1675,
      0.2053,
      0.3887,
      0.2699,
      0.1263,
      0.2362,
      0.2676,
      0.3182,
      0.3773,
      0.2158,
      0.3725,
      0.396,
      0.1184,
      0.1423,
      0.2375,
      0.2235,
      0.1896,
      0.2891,
      0.1195,
      0.1063,
      0.3739,
      0.3859,
      0.2854,
      0.1699,
      0.2493,
      0.3599,
      0.1537,
      0.1892,
      0.1618,
      0.1761,
      0.193,
      0.3261,
      0.4519,
      0.3402,
      0.2954,
      0.1864,
      0.2167,
      0.1731,
      0.2108,
      0.2781,
      0.3738,
      0.3382,
      0.2736,
      0.3109,
      0.3418,
      0.3641,
      0.4405,
      0.2226,
      0.2379,
      0.3815,
      0.3322,
      0.3687,
      0.3822,
      0.3103,
      0.3895,
      0.3133,
      0.449,
      0.3458,
      0.3841,
      0.4677,
      0.3386,
      0.2891,
      0.1912,
      0.3017,
      0.2876,
      0.1463,
      0.3491,
      0.1554,
      0.2562,
      0.1494,
      0.4719,
      0.3522,
      0.3232,
      0.2544,
      0.2914,
      0.2091,
      0.2953,
      0.327,
      0.2018,
      0.3716,
      0.1639,
      0.2661,
      0.3612,
      0.408,
      0.3657,
      0.2973,
      0.2985,
      0.4022,
      0.3054,
      0.2253,
      0.2611,
      0.3019,
      0.347,
      0.1548,
      0.2273,
      0.3929,
      0.3426,
      0.41,
      0.3243,
      0.2447,
      0.1115,
      0.1164,
      0.1805,
      0.1497,
      0.2105,
      0.0726,
      0.0896,
      0.2082,
      0.1725,
      0.2254,
      0.1686,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.183,
      0.1855,
      0.0662,
      0.1552,
      0.1837,
      0.0576,
      0.0253,
      0.2569,
      0.2594,
      0.1821,
      0,
      0.1441,
      0.0355,
      0.1326,
      0.3893,
      0.1454,
      0.1377,
      0.0961,
      0,
      0.2683,
      0.0713,
      0.1406,
      0,
      0.0213,
      0.3298,
      0.0671,
      0.3613,
      0,
      0.0806,
      0.2741,
      0.2432,
      0.2257,
      0.2035,
      0.164,
      0.2737,
      0.2879,
      0.2245,
      0.3097,
      0.1705,
      0.0595,
      0.2764,
      0.2962,
      0.3501,
      0.4011,
      0.2081,
      0.2351,
      0.0641,
      0.1716,
      0.2244,
      0.1814,
      0.3047,
      0.398,
      0.1352,
      0.3576,
      0.3387,
      0.3018,
      0.13,
      0.0589,
      0.2017,
      0.228,
      0.1209,
      0.1984,
      0.2811,
      0.1279,
      0.3902,
      0.4299,
      0.2234,
      0.4375,
      0.2471,
      0.125,
      0.1902,
      0.1826,
      0.2318,
      0.2371,
      0.1285,
      0.1049,
      0.2344,
      0.4054,
      0.3822,
      0.3095,
      0.1964,
      0.3265,
      0.4527,
      0.214,
      0.0798,
      0.1555,
      0.1394,
      0.012,
      0.0706,
      0.298,
      0.2496,
      0.3884,
      0.345,
      0.424,
      0.3697,
      0.2472,
      0.369,
      0.2029,
      0.2707,
      0.2664,
      0.11,
      0.1405,
      0.0746,
      0.444,
      0.3354,
      0.1613,
      0.1322,
      0.0666,
      0.1156,
      0.3001,
      0.1316,
      0.1112,
      0,
      0.3635,
      0.4217,
      0.393,
      0.3839,
      0.2035,
      0.1518,
      0.0819,
      0.2786,
      0.2642,
      0.3234,
      0.2085,
      0.2573,
      0.1868,
      0.4024,
      0.3587,
      0.4221,
      0.2748,
      0.3116,
      0.2031,
      0.2022,
      0.247,
      0.1541,
      0.0077,
      0.2687,
      0.4357,
      0.309,
      0.3751,
      0.3479,
      0.2601,
      0.3215,
      0.1227,
      0.157,
      0.4083,
      0.1123,
      0.3332,
      0.3634,
      0.3774,
      0.2675,
      0.2544,
      0.206,
      0.1662,
      0.1539,
      0.221,
      0.1195,
      0.3088,
      0.2413,
      0.3941,
      0.453,
      0.3181,
      0.3632,
      0.1585,
      0.302,
      0.1188,
      0.5382,
      0.4051,
      0.3356,
      0.2236,
      0.1895,
      0.4513,
      0.3755,
      0.4496,
      0.404,
      0.2867,
      0.2977,
      0.3051,
      0.2789,
      0.2238,
      0.2238,
      0.198,
      0.3298,
      0.2131,
      0.1924,
      0.2767,
      0.2584,
      0.275,
      0.3747,
      0.2611,
      0.3787,
      0.3584,
      0.1975,
      0.1288,
      0.2491,
      0.1373,
      0.2055,
      0.1961,
      0.1293,
      0.1143,
      0.3531,
      0.3185,
      0.3072,
      0.2179,
      0.1959,
      0.3657,
      0.2158,
      0.2721,
      0.1761,
      0.146,
      0.1322,
      0.3733,
      0.4784,
      0.2442,
      0.2868,
      0.2326,
      0.133,
      0.1827,
      0.2035,
      0.173,
      0.3273,
      0.2946,
      0.3103,
      0.2281,
      0.3101,
      0.4257,
      0.4198,
      0.1931,
      0.1738,
      0.392,
      0.284,
      0.409,
      0.3439,
      0.4118,
      0.4127,
      0.3029,
      0.428,
      0.364,
      0.4378,
      0.4644,
      0.3252,
      0.2906,
      0.182,
      0.2661,
      0.3083,
      0.259,
      0.3027,
      0.1951,
      0.2417,
      0.2819,
      0.3895,
      0.337,
      0.2851,
      0.2838,
      0.3017,
      0.1726,
      0.2769,
      0.3185,
      0.198,
      0.2905,
      0.1173,
      0.2447,
      0.4031,
      0.2975,
      0.3438,
      0.3807,
      0.2827,
      0.3536,
      0.3577,
      0.211,
      0.2103,
      0.2159,
      0.2399,
      0.0337,
      0.3234,
      0.3691,
      0.3551,
      0.3954,
      0.3744,
      0.2989,
      0.0981,
      0.1204,
      0.0613,
      0.128,
      0.2088,
      0.0813,
      0.0848,
      0.2174,
      0.157,
      0.1302,
      0.0395,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1897,
      0.2143,
      0.0167,
      0.1078,
      0.1792,
      0,
      0,
      0.2784,
      0.1504,
      0.1549,
      0,
      0.11,
      0.1085,
      0.1292,
      0.3048,
      0.1786,
      0.1006,
      0.1504,
      0.0623,
      0.3205,
      0.062,
      0.1813,
      0,
      0.0045,
      0.3171,
      0.0464,
      0.3792,
      0,
      0.1021,
      0.1657,
      0.2068,
      0.1872,
      0.2481,
      0.182,
      0.356,
      0.3224,
      0.2353,
      0.3403,
      0.1829,
      0,
      0.1944,
      0.2825,
      0.1613,
      0.4881,
      0.1495,
      0.2887,
      0.0996,
      0.2133,
      0.2448,
      0.1899,
      0.2933,
      0.2928,
      0.1511,
      0.3534,
      0.3648,
      0.3252,
      0.1065,
      0.007,
      0.1694,
      0.1453,
      0.107,
      0.1808,
      0.1412,
      0.122,
      0.3942,
      0.493,
      0.2758,
      0.4308,
      0.2384,
      0.1441,
      0.2196,
      0.1892,
      0.1464,
      0.245,
      0.1177,
      0.1453,
      0.2028,
      0.4169,
      0.35,
      0.2066,
      0.2548,
      0.3769,
      0.407,
      0.2247,
      0.1516,
      0.1022,
      0.1818,
      0.1184,
      0.1288,
      0.2748,
      0.2253,
      0.4114,
      0.3404,
      0.388,
      0.3912,
      0.2278,
      0.3268,
      0.274,
      0.2664,
      0.2785,
      0.1189,
      0.0595,
      0.0542,
      0.4247,
      0.4184,
      0.1753,
      0.0579,
      0.048,
      0.0812,
      0.2804,
      0.126,
      0.1138,
      0.0298,
      0.4156,
      0.4031,
      0.3294,
      0.4277,
      0.1823,
      0.223,
      0.0767,
      0.2974,
      0.3641,
      0.2279,
      0.1704,
      0.2779,
      0.1846,
      0.4463,
      0.3938,
      0.3414,
      0.2548,
      0.2313,
      0.2138,
      0.2188,
      0.1885,
      0.2332,
      0,
      0.3204,
      0.4264,
      0.2991,
      0.2413,
      0.4208,
      0.2198,
      0.3805,
      0.2238,
      0.1176,
      0.3315,
      0.1371,
      0.3552,
      0.424,
      0.3561,
      0.414,
      0.262,
      0.3452,
      0.1589,
      0.1654,
      0.2729,
      0.1786,
      0.2964,
      0.3526,
      0.3874,
      0.4225,
      0.3215,
      0.4041,
      0.2517,
      0.3377,
      0.1577,
      0.5166,
      0.3908,
      0.3355,
      0.269,
      0.2202,
      0.3809,
      0.4075,
      0.4082,
      0.4149,
      0.3521,
      0.3236,
      0.3078,
      0.2317,
      0.2671,
      0.1987,
      0.2192,
      0.3392,
      0.1742,
      0.1973,
      0.165,
      0.278,
      0.3407,
      0.3607,
      0.2781,
      0.3826,
      0.3721,
      0.2473,
      0.1551,
      0.2165,
      0.186,
      0.286,
      0.171,
      0.1927,
      0.124,
      0.359,
      0.3074,
      0.2936,
      0.307,
      0.2607,
      0.3685,
      0.2002,
      0.3203,
      0.1201,
      0.1815,
      0.1559,
      0.3576,
      0.477,
      0.2904,
      0.1655,
      0.2352,
      0.1158,
      0.1355,
      0.2193,
      0.128,
      0.2435,
      0.2803,
      0.2754,
      0.256,
      0.2801,
      0.4364,
      0.4645,
      0.2244,
      0.2131,
      0.3536,
      0.2479,
      0.363,
      0.4174,
      0.4764,
      0.361,
      0.3581,
      0.3444,
      0.3212,
      0.5076,
      0.3853,
      0.3247,
      0.308,
      0.3067,
      0.2847,
      0.3277,
      0.3133,
      0.2829,
      0.1987,
      0.286,
      0.2637,
      0.4039,
      0.3526,
      0.3651,
      0.26,
      0.3003,
      0.2379,
      0.2577,
      0.2696,
      0.2419,
      0.3049,
      0.1885,
      0.2571,
      0.4294,
      0.3366,
      0.3205,
      0.3365,
      0.2828,
      0.463,
      0.2616,
      0.2246,
      0.2753,
      0.3426,
      0.3251,
      0.161,
      0.3337,
      0.3924,
      0.3862,
      0.4539,
      0.3825,
      0.2996,
      0.2584,
      0.137,
      0.1336,
      0.1125,
      0.1734,
      0.0767,
      0.0575,
      0.2273,
      0.1968,
      0.2119,
      0.0533,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1876,
      0.1928,
      0.0194,
      0.1384,
      0.2031,
      0,
      0.0245,
      0.3243,
      0.1837,
      0.2015,
      0,
      0.1518,
      0.1233,
      0.2084,
      0.3268,
      0.165,
      0.0953,
      0.15,
      0.0902,
      0.2382,
      0.0541,
      0.0983,
      0,
      0,
      0.3723,
      0.0404,
      0.4375,
      0.012,
      0.0481,
      0.2686,
      0.1878,
      0.2447,
      0.2497,
      0.1817,
      0.3374,
      0.3388,
      0.4243,
      0.3797,
      0.1665,
      0,
      0.0545,
      0.2075,
      0.1858,
      0.5056,
      0.108,
      0.3405,
      0.0511,
      0.1918,
      0.1541,
      0.2605,
      0.2853,
      0.3063,
      0.2406,
      0.4257,
      0.3837,
      0.332,
      0.0737,
      0.0124,
      0.1757,
      0.2002,
      0.0758,
      0.1826,
      0.1788,
      0.0798,
      0.3595,
      0.4964,
      0.3229,
      0.421,
      0.2279,
      0.1333,
      0.1429,
      0.1876,
      0.0844,
      0.2295,
      0.0974,
      0.1245,
      0.2287,
      0.3851,
      0.3398,
      0.2767,
      0.1598,
      0.4734,
      0.4221,
      0.1612,
      0.1964,
      0.0851,
      0.0835,
      0.0442,
      0.1174,
      0.3083,
      0.1456,
      0.3428,
      0.3383,
      0.446,
      0.3448,
      0.2307,
      0.3475,
      0.2143,
      0.2835,
      0.2641,
      0.1811,
      0.1684,
      0.0347,
      0.4278,
      0.3697,
      0.2093,
      0.1202,
      0.0048,
      0.0863,
      0.2767,
      0.1078,
      0.0713,
      0.058,
      0.473,
      0.4193,
      0.3929,
      0.4858,
      0.1055,
      0.1956,
      0.0705,
      0.2824,
      0.202,
      0.352,
      0.2704,
      0.2966,
      0.2419,
      0.4627,
      0.4013,
      0.338,
      0.2476,
      0.2156,
      0.1926,
      0.1794,
      0.2331,
      0.115,
      0.0008,
      0.2887,
      0.3962,
      0.2551,
      0.2964,
      0.5148,
      0.1926,
      0.3363,
      0.2515,
      0.1424,
      0.2549,
      0.1599,
      0.3293,
      0.392,
      0.3597,
      0.2598,
      0.2065,
      0.1392,
      0.1877,
      0.1608,
      0.2204,
      0.2102,
      0.2803,
      0.253,
      0.3343,
      0.4071,
      0.257,
      0.2466,
      0.1258,
      0.2819,
      0.1185,
      0.4996,
      0.4003,
      0.4236,
      0.289,
      0.2652,
      0.4198,
      0.4719,
      0.4915,
      0.3985,
      0.28,
      0.2668,
      0.2938,
      0.2233,
      0.3844,
      0.1719,
      0.1064,
      0.3861,
      0.1402,
      0.1942,
      0.1179,
      0.2456,
      0.3551,
      0.3675,
      0.3164,
      0.3387,
      0.2992,
      0.2575,
      0.1559,
      0.236,
      0.1536,
      0.2377,
      0.2559,
      0.19,
      0.1175,
      0.357,
      0.3201,
      0.2666,
      0.2112,
      0.21,
      0.3484,
      0.2005,
      0.283,
      0.194,
      0.0876,
      0.1648,
      0.3479,
      0.385,
      0.2845,
      0.2727,
      0.2077,
      0.1076,
      0.052,
      0.1691,
      0.1847,
      0.2691,
      0.4076,
      0.2833,
      0.1944,
      0.3926,
      0.4094,
      0.4758,
      0.2147,
      0.2385,
      0.3545,
      0.3637,
      0.4418,
      0.3426,
      0.4782,
      0.3578,
      0.2658,
      0.3951,
      0.408,
      0.5268,
      0.4429,
      0.275,
      0.2984,
      0.3625,
      0.29,
      0.4234,
      0.2926,
      0.231,
      0.1969,
      0.2772,
      0.1665,
      0.4506,
      0.3401,
      0.2162,
      0.2593,
      0.3025,
      0.0924,
      0.288,
      0.3112,
      0.2672,
      0.3308,
      0.1311,
      0.268,
      0.3845,
      0.333,
      0.3768,
      0.313,
      0.3167,
      0.3484,
      0.3183,
      0.2515,
      0.1372,
      0.2474,
      0.3502,
      0.0762,
      0.2603,
      0.3632,
      0.3149,
      0.4182,
      0.4199,
      0.2978,
      0.1635,
      0.1941,
      0.114,
      0.1074,
      0.1868,
      0,
      0.0982,
      0.207,
      0.1616,
      0.1197,
      0.0874,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1122,
      0.1252,
      0.0392,
      0.0244,
      0.1993,
      0.0048,
      0.0278,
      0.2096,
      0.1922,
      0.2212,
      0,
      0.0006,
      0.1757,
      0.0544,
      0.2684,
      0.1499,
      0.0867,
      0.1221,
      0.0368,
      0.3054,
      0.1905,
      0.1774,
      0,
      0,
      0.349,
      0.0088,
      0.3446,
      0.073,
      0.0567,
      0.2483,
      0.2669,
      0.1992,
      0.0905,
      0.1653,
      0.3038,
      0.3227,
      0.3786,
      0.2855,
      0.1668,
      0,
      0.1438,
      0.2499,
      0.2951,
      0.4217,
      0.2369,
      0.3031,
      0.1292,
      0.1565,
      0.2173,
      0.2888,
      0.2243,
      0.2401,
      0.2464,
      0.3876,
      0.3232,
      0.1944,
      0.0992,
      0.0318,
      0.2163,
      0.2617,
      0.0798,
      0.2139,
      0.1397,
      0.1313,
      0.4211,
      0.3922,
      0.3435,
      0.3727,
      0.3051,
      0.1326,
      0.1537,
      0.1374,
      0.1376,
      0.1849,
      0.1105,
      0.1,
      0.2433,
      0.4232,
      0.3553,
      0.2029,
      0.0623,
      0.3474,
      0.3628,
      0.1161,
      0.2333,
      0.1894,
      0.0933,
      0,
      0.1205,
      0.2794,
      0.1899,
      0.3824,
      0.3491,
      0.4578,
      0.2555,
      0.2031,
      0.3413,
      0.2499,
      0.2193,
      0.2296,
      0.0735,
      0.3882,
      0.0334,
      0.4005,
      0.317,
      0.1922,
      0.0907,
      0.1028,
      0.0469,
      0.2519,
      0.191,
      0.1235,
      0,
      0.4314,
      0.3198,
      0.3284,
      0.3948,
      0.1611,
      0.2367,
      0.0367,
      0.2188,
      0.2609,
      0.332,
      0.185,
      0.3219,
      0.1946,
      0.3879,
      0.3232,
      0.2525,
      0.3238,
      0.2239,
      0.118,
      0.1818,
      0.1182,
      0.0812,
      0.0753,
      0.2853,
      0.3569,
      0.2885,
      0.2929,
      0.466,
      0.2172,
      0.3018,
      0.2335,
      0.2165,
      0.3676,
      0.1593,
      0.3122,
      0.3739,
      0.3103,
      0.2827,
      0.3072,
      0.2272,
      0.1719,
      0.0789,
      0.2575,
      0.1736,
      0.2522,
      0.2973,
      0.3668,
      0.3779,
      0.2541,
      0.2986,
      0.0866,
      0.2814,
      0.1736,
      0.502,
      0.339,
      0.4574,
      0.2442,
      0.2149,
      0.3543,
      0.3202,
      0.3989,
      0.4012,
      0.1544,
      0.2675,
      0.2132,
      0.3202,
      0.3453,
      0.2173,
      0.0869,
      0.2423,
      0.179,
      0.1394,
      0.182,
      0.1857,
      0.3355,
      0.3263,
      0.3198,
      0.3326,
      0.3347,
      0.1182,
      0.2397,
      0.2237,
      0.2176,
      0.2315,
      0.2586,
      0.1275,
      0.156,
      0.2904,
      0.3673,
      0.353,
      0.1458,
      0.2247,
      0.3251,
      0.2053,
      0.2519,
      0.1921,
      0.1886,
      0.1573,
      0.2665,
      0.4674,
      0.2223,
      0.1361,
      0.1141,
      0.0755,
      0,
      0.1007,
      0.172,
      0.2524,
      0.3442,
      0.3249,
      0.2113,
      0.323,
      0.261,
      0.378,
      0.1666,
      0.2337,
      0.2684,
      0.3006,
      0.3226,
      0.2659,
      0.2535,
      0.3226,
      0.3544,
      0.3189,
      0.3673,
      0.4907,
      0.4313,
      0.3643,
      0.3895,
      0.315,
      0.2881,
      0.359,
      0.2712,
      0.2314,
      0.1634,
      0.2402,
      0.2479,
      0.3731,
      0.2936,
      0.2542,
      0.2809,
      0.2914,
      0.1732,
      0.2863,
      0.2803,
      0.304,
      0.2995,
      0.1708,
      0.2682,
      0.4144,
      0.3534,
      0.34,
      0.2567,
      0.3601,
      0.3145,
      0.2141,
      0.2699,
      0.2299,
      0.2481,
      0.3645,
      0.0564,
      0.269,
      0.2987,
      0.3567,
      0.3137,
      0.4385,
      0.2655,
      0.172,
      0.2082,
      0.1349,
      0.1341,
      0.1148,
      0.0007,
      0.0915,
      0.2487,
      0.1161,
      0.0609,
      0.0636,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0216,
      0.1456,
      0.0154,
      0.115,
      0.1895,
      0,
      0,
      0.143,
      0.1373,
      0.1593,
      0,
      0.0763,
      0.274,
      0.0762,
      0.2509,
      0.1124,
      0.0993,
      0.1248,
      0.004,
      0.2426,
      0.1108,
      0.0417,
      0,
      0,
      0.2144,
      0.0271,
      0.3626,
      0,
      0.0964,
      0.1613,
      0.1603,
      0.1218,
      0.2433,
      0.1321,
      0.2986,
      0.1984,
      0.2192,
      0.2915,
      0.1548,
      0.0418,
      0.2302,
      0.2126,
      0.2879,
      0.3556,
      0.1699,
      0.2128,
      0.0849,
      0.1312,
      0.1176,
      0.2172,
      0.2528,
      0.2782,
      0.1216,
      0.3513,
      0.374,
      0.2676,
      0.0426,
      0.0387,
      0.2237,
      0.2629,
      0.0508,
      0.1785,
      0.1374,
      0.1567,
      0.3836,
      0.3055,
      0.3182,
      0.3922,
      0.2606,
      0.1996,
      0.2084,
      0.2409,
      0.2447,
      0.1578,
      0.196,
      0.1692,
      0.2142,
      0.3405,
      0.3433,
      0.2447,
      0.2205,
      0.283,
      0.3668,
      0.1144,
      0.1978,
      0.1837,
      0.1069,
      0.159,
      0.133,
      0.2723,
      0.2159,
      0.3873,
      0.2928,
      0.3777,
      0.3338,
      0.2089,
      0.3251,
      0.183,
      0.2486,
      0.1741,
      0.0819,
      0.3305,
      0.0363,
      0.3506,
      0.3272,
      0.1547,
      0.0485,
      0.0006,
      0.039,
      0.167,
      0.0587,
      0.2213,
      0,
      0.2531,
      0.301,
      0.2761,
      0.2826,
      0.1415,
      0.1729,
      0.0646,
      0.2254,
      0.2769,
      0.1434,
      0.2211,
      0.2934,
      0.1146,
      0.3783,
      0.3321,
      0.2876,
      0.3958,
      0.228,
      0.1296,
      0.1797,
      0.1757,
      0.2557,
      0.1741,
      0.3097,
      0.3193,
      0.2521,
      0.3198,
      0.3497,
      0.2694,
      0.2438,
      0.0992,
      0.2492,
      0.3531,
      0.2216,
      0.2922,
      0.3048,
      0.3076,
      0.2727,
      0.2516,
      0.1778,
      0.1561,
      0.2057,
      0.0865,
      0.2055,
      0.2746,
      0.229,
      0.315,
      0.3981,
      0.2867,
      0.2672,
      0.2241,
      0.2905,
      0.266,
      0.5277,
      0.3487,
      0.3351,
      0.2156,
      0.233,
      0.3826,
      0.3364,
      0.404,
      0.4093,
      0.3212,
      0.3621,
      0.2884,
      0.1679,
      0.3395,
      0.2094,
      0.0253,
      0.24,
      0.1892,
      0.1983,
      0.1802,
      0.1606,
      0.3576,
      0.2557,
      0.3243,
      0.3045,
      0.3616,
      0.1352,
      0.2983,
      0.2469,
      0.1837,
      0.2834,
      0.1768,
      0.0836,
      0.1408,
      0.3418,
      0.287,
      0.2568,
      0.1138,
      0.2247,
      0.3355,
      0.2874,
      0.2159,
      0.2145,
      0.1683,
      0.1672,
      0.2523,
      0.3926,
      0.1611,
      0.2108,
      0.1088,
      0.0964,
      0.0786,
      0.1139,
      0.1526,
      0.2446,
      0.2843,
      0.3732,
      0.2591,
      0.275,
      0.2916,
      0.3495,
      0.1608,
      0.2282,
      0.2426,
      0.3137,
      0.2755,
      0.3161,
      0.2912,
      0.2291,
      0.2502,
      0.3376,
      0.3965,
      0.4062,
      0.406,
      0.3647,
      0.3273,
      0.3611,
      0.287,
      0.2236,
      0.3509,
      0.248,
      0.075,
      0.2374,
      0.1983,
      0.3264,
      0.2844,
      0.3294,
      0.3233,
      0.3715,
      0.2108,
      0.2867,
      0.2737,
      0.2159,
      0.3088,
      0.1152,
      0.2902,
      0.4266,
      0.2506,
      0.35,
      0.2156,
      0.3862,
      0.3075,
      0.284,
      0.2876,
      0.2509,
      0.3277,
      0.378,
      0.0769,
      0.3439,
      0.2667,
      0.326,
      0.306,
      0.5249,
      0.2286,
      0.3003,
      0.2121,
      0.0259,
      0.1142,
      0.1571,
      0.0349,
      0.0153,
      0.1722,
      0.2142,
      0.1136,
      0.1454,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0853,
      0.0743,
      0.0748,
      0.1106,
      0.1083,
      0,
      0.0178,
      0.214,
      0.1219,
      0.1015,
      0,
      0.1002,
      0.1798,
      0.0008,
      0.3152,
      0.0924,
      0.104,
      0.0537,
      0,
      0.1195,
      0.0886,
      0.0626,
      0,
      0,
      0.1567,
      0,
      0.3517,
      0,
      0.0979,
      0.1188,
      0.1175,
      0.1209,
      0.1177,
      0.0959,
      0.2785,
      0.2439,
      0.1647,
      0.3248,
      0.1826,
      0.0317,
      0.1537,
      0.2397,
      0.2528,
      0.3588,
      0.1948,
      0.2329,
      0.0459,
      0.103,
      0.1237,
      0.1672,
      0.2817,
      0.2352,
      0.1346,
      0.2346,
      0.2879,
      0.2686,
      0.0609,
      0.0312,
      0.217,
      0.2313,
      0.0506,
      0.1508,
      0.0767,
      0.1339,
      0.3798,
      0.4061,
      0.3562,
      0.3458,
      0.3085,
      0.1162,
      0.185,
      0.1077,
      0.0333,
      0.1832,
      0.0749,
      0.0297,
      0.1634,
      0.2943,
      0.2779,
      0.1976,
      0.1819,
      0.2878,
      0.3448,
      0.1191,
      0.1877,
      0.0409,
      0.0788,
      0.0982,
      0.0667,
      0.2426,
      0.2064,
      0.3566,
      0.2573,
      0.2583,
      0.2976,
      0.2132,
      0.3282,
      0.1328,
      0.384,
      0.2297,
      0.1002,
      0.1246,
      0.006,
      0.3581,
      0.3088,
      0.113,
      0.0673,
      0.0331,
      0,
      0.1099,
      0.1434,
      0.0375,
      0,
      0.1893,
      0.2608,
      0.186,
      0.3378,
      0.1555,
      0.2062,
      0.0458,
      0.1961,
      0.1973,
      0.2852,
      0.2307,
      0.1806,
      0.1562,
      0.3505,
      0.3591,
      0.2542,
      0.2639,
      0.1897,
      0.2034,
      0.1527,
      0.1154,
      0.1239,
      0.1441,
      0.2761,
      0.308,
      0.2282,
      0.17,
      0.2668,
      0.2098,
      0.2298,
      0.1973,
      0.084,
      0.3218,
      0.2414,
      0.2294,
      0.2939,
      0.2816,
      0.194,
      0.1154,
      0.0997,
      0.1751,
      0.208,
      0.1885,
      0.1766,
      0.2122,
      0.2377,
      0.3088,
      0.3125,
      0.2698,
      0.2285,
      0.1213,
      0.2391,
      0.168,
      0.4261,
      0.2645,
      0.1814,
      0.231,
      0.169,
      0.4066,
      0.3631,
      0.4525,
      0.3683,
      0.2877,
      0.3018,
      0.1971,
      0.2243,
      0.2919,
      0.1911,
      0.1839,
      0.3023,
      0.1122,
      0.1771,
      0.2316,
      0.2253,
      0.2533,
      0.2178,
      0.3017,
      0.2951,
      0.4341,
      0.0997,
      0.2114,
      0.216,
      0.1024,
      0.1799,
      0.1619,
      0.1158,
      0.119,
      0.2768,
      0.2906,
      0.2645,
      0.0028,
      0.1779,
      0.3312,
      0.0987,
      0.2763,
      0.1696,
      0.1695,
      0.1552,
      0.2545,
      0.3505,
      0.2245,
      0.1567,
      0.1949,
      0.1185,
      0.042,
      0.1912,
      0.2933,
      0.3243,
      0.257,
      0.35,
      0.2705,
      0.3291,
      0.3678,
      0.423,
      0.0689,
      0.1638,
      0.3307,
      0.4076,
      0.3254,
      0.3633,
      0.4905,
      0.3755,
      0.2314,
      0.3746,
      0.2849,
      0.315,
      0.3922,
      0.2997,
      0.3226,
      0.2024,
      0.2167,
      0.24,
      0.3485,
      0.2169,
      0.1548,
      0.1988,
      0.0988,
      0.3519,
      0.239,
      0.2308,
      0.2731,
      0.2649,
      0.1399,
      0.2301,
      0.2421,
      0.0434,
      0.2759,
      0.1246,
      0.2835,
      0.3268,
      0.2636,
      0.2836,
      0.191,
      0.2853,
      0.2835,
      0.2302,
      0.2187,
      0.2094,
      0.2429,
      0.2741,
      0.0846,
      0.4968,
      0.1972,
      0.3306,
      0.4064,
      0.4192,
      0.2681,
      0.062,
      0.1666,
      0,
      0.0749,
      0.1715,
      0,
      0.0316,
      0.1535,
      0.0743,
      0.0897,
      0.2416,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1105,
      0.1044,
      0,
      0.0795,
      0.044,
      0,
      0,
      0.1236,
      0.1256,
      0.0919,
      0,
      0.0578,
      0.039,
      0,
      0.3003,
      0.0861,
      0,
      0.0344,
      0,
      0.2767,
      0.0754,
      0.0088,
      0,
      0,
      0.1831,
      0,
      0.2836,
      0,
      0,
      0.0992,
      0.1335,
      0.1204,
      0.1138,
      0.0537,
      0.1062,
      0.2135,
      0.1936,
      0.2266,
      0.0884,
      0.0483,
      0.0623,
      0.2008,
      0.1762,
      0.3673,
      0.1436,
      0.2255,
      0,
      0.073,
      0.0715,
      0.0414,
      0.1597,
      0.2749,
      0.0804,
      0.0836,
      0.1169,
      0.2162,
      0.0022,
      0,
      0.1862,
      0.1538,
      0,
      0.1038,
      0.0828,
      0.055,
      0.3155,
      0.3531,
      0.3577,
      0.2842,
      0.2603,
      0.1112,
      0.1196,
      0.125,
      0.125,
      0.1289,
      0.0857,
      0.0602,
      0.1255,
      0.2512,
      0.2291,
      0.1903,
      0.1246,
      0.2401,
      0.3361,
      0.1363,
      0.0563,
      0.1037,
      0.0554,
      0,
      0.0202,
      0.2168,
      0.1654,
      0.293,
      0.2811,
      0.3047,
      0.2602,
      0.1874,
      0.29,
      0.0827,
      0.4162,
      0.2232,
      0.0835,
      0.0558,
      0,
      0.2453,
      0.2204,
      0.0919,
      0.0766,
      0.0288,
      0,
      0.1478,
      0.0795,
      0.0436,
      0,
      0.2144,
      0.2202,
      0.2168,
      0.2284,
      0.1016,
      0.1732,
      0.0193,
      0.172,
      0.1995,
      0.1537,
      0.1942,
      0.1223,
      0.1579,
      0.2825,
      0.2686,
      0.1844,
      0.1831,
      0.1018,
      0.0875,
      0.1258,
      0.1295,
      0.0978,
      0.1026,
      0.2282,
      0.3227,
      0.2388,
      0.2078,
      0.1884,
      0.2297,
      0.2085,
      0.1253,
      0.1757,
      0.2802,
      0.2304,
      0.219,
      0.276,
      0.281,
      0.1505,
      0.1954,
      0.1671,
      0.1938,
      0.218,
      0.2096,
      0.1068,
      0.1602,
      0.1897,
      0.2981,
      0.3358,
      0.2162,
      0.2256,
      0.1875,
      0.2283,
      0.141,
      0.4011,
      0.2994,
      0.1345,
      0.2079,
      0.1557,
      0.378,
      0.2483,
      0.3316,
      0.2922,
      0.1953,
      0.2245,
      0.1726,
      0.1944,
      0.1312,
      0.0963,
      0.1001,
      0.3227,
      0.1298,
      0.1674,
      0.1732,
      0.2348,
      0.2274,
      0.278,
      0.2256,
      0.3323,
      0.3566,
      0.0513,
      0.181,
      0.1006,
      0.2064,
      0.1809,
      0.1525,
      0.0343,
      0.0766,
      0.2225,
      0.2779,
      0.1905,
      0.0379,
      0.1253,
      0.2616,
      0.1276,
      0.2585,
      0.1321,
      0.1569,
      0.1271,
      0.231,
      0.3483,
      0.1994,
      0.1885,
      0.0508,
      0.0445,
      0,
      0.1689,
      0.2351,
      0.2442,
      0.2397,
      0.1825,
      0.1864,
      0.2226,
      0.3405,
      0.3058,
      0.0989,
      0.1193,
      0.2614,
      0.2058,
      0.3169,
      0.2243,
      0.2512,
      0.1906,
      0.2387,
      0.3117,
      0.2471,
      0.2872,
      0.365,
      0.2773,
      0.1745,
      0.1741,
      0.1969,
      0.2247,
      0.3116,
      0.0791,
      0.1443,
      0.1535,
      0.0976,
      0.2862,
      0.2475,
      0.1739,
      0.1013,
      0.1996,
      0.0881,
      0.2391,
      0.1857,
      0.1318,
      0.2106,
      0.0618,
      0.2231,
      0.2167,
      0.2551,
      0.2561,
      0.1797,
      0.2301,
      0.3152,
      0.2178,
      0.2281,
      0.2006,
      0.2612,
      0.2413,
      0.0846,
      0.4529,
      0.3314,
      0.208,
      0.3466,
      0.2934,
      0.3889,
      0.0001,
      0.0886,
      0,
      0.0363,
      0.3553,
      0,
      0,
      0.0735,
      0.0272,
      0.0582,
      0.1709,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0244,
      0.1567,
      0,
      0.0035,
      0.0047,
      0,
      0,
      0.0982,
      0.0559,
      0.1119,
      0,
      0.0303,
      0.0055,
      0,
      0.2185,
      0.0291,
      0,
      0,
      0,
      0.1366,
      0,
      0,
      0,
      0,
      0.1225,
      0,
      0.1505,
      0,
      0.0258,
      0.0217,
      0.06,
      0,
      0.1148,
      0.0508,
      0.0982,
      0.1187,
      0.1218,
      0.1533,
      0.0818,
      0,
      0.0871,
      0.1338,
      0.1802,
      0.3271,
      0.0641,
      0.1466,
      0,
      0.0174,
      0.0744,
      0.115,
      0.1151,
      0.0699,
      0.0919,
      0.1473,
      0.2037,
      0.1696,
      0.0103,
      0,
      0.1413,
      0.0321,
      0,
      0.1173,
      0.1312,
      0,
      0.2487,
      0.2521,
      0.1717,
      0.243,
      0.2022,
      0.156,
      0.0204,
      0.0901,
      0.0878,
      0.0686,
      0.0549,
      0,
      0.1052,
      0.2372,
      0.1455,
      0.0702,
      0.0934,
      0.2372,
      0.3579,
      0.0834,
      0.0538,
      0.0728,
      0.0133,
      0,
      0,
      0.1682,
      0.0975,
      0.1764,
      0.244,
      0.3498,
      0.2254,
      0.0538,
      0.2484,
      0.043,
      0.1565,
      0.1156,
      0,
      0.0277,
      0,
      0.2446,
      0.1193,
      0.0343,
      0,
      0,
      0,
      0.1547,
      0.0482,
      0,
      0,
      0.1516,
      0.2305,
      0.1083,
      0.2493,
      0.053,
      0.0775,
      0,
      0.0593,
      0.1715,
      0.0863,
      0.0488,
      0.0599,
      0.0307,
      0.4076,
      0.1955,
      0.1046,
      0.1129,
      0.1226,
      0,
      0.1499,
      0.0721,
      0.0138,
      0.0282,
      0.1221,
      0.1982,
      0.1748,
      0.107,
      0.2176,
      0.0629,
      0.1468,
      0.1223,
      0.1401,
      0.2585,
      0.0344,
      0.1254,
      0.208,
      0.123,
      0.1669,
      0.0989,
      0.0681,
      0.0283,
      0.0562,
      0.0595,
      0,
      0.1518,
      0.1145,
      0.2956,
      0.2721,
      0.1654,
      0.1361,
      0.1405,
      0.1522,
      0,
      0.2801,
      0.217,
      0.1464,
      0.0514,
      0.0646,
      0.2866,
      0.2256,
      0.2545,
      0.259,
      0.2384,
      0.1631,
      0.1867,
      0.1212,
      0.1352,
      0.0346,
      0.0683,
      0.258,
      0,
      0.0022,
      0.198,
      0.2466,
      0.1091,
      0.2148,
      0.0829,
      0.397,
      0.3109,
      0.0988,
      0.083,
      0.0309,
      0.0667,
      0.0986,
      0.1695,
      0,
      0,
      0.1973,
      0.2274,
      0.1823,
      0.0739,
      0.0143,
      0.168,
      0.0501,
      0.1239,
      0.0402,
      0.1067,
      0.0855,
      0.1971,
      0.2459,
      0.107,
      0.1276,
      0.1316,
      0.0211,
      0.0928,
      0.1057,
      0.1389,
      0.1041,
      0.1071,
      0.148,
      0.0616,
      0.1762,
      0.1294,
      0.2647,
      0.033,
      0.1411,
      0.1023,
      0.131,
      0.1167,
      0.1313,
      0.1655,
      0.1054,
      0.2439,
      0.1983,
      0.2009,
      0.2822,
      0.3438,
      0.2141,
      0.2195,
      0.0838,
      0.116,
      0.194,
      0.238,
      0.0572,
      0.1302,
      0.1416,
      0.0269,
      0.2803,
      0.2247,
      0.1509,
      0.1039,
      0.1627,
      0.115,
      0.1982,
      0.1317,
      0.1799,
      0.1899,
      0.0542,
      0.1813,
      0.2342,
      0.178,
      0.2371,
      0.1359,
      0.175,
      0.2875,
      0.3962,
      0.342,
      0.1165,
      0.1843,
      0.187,
      0,
      0.213,
      0.3686,
      0.371,
      0.3615,
      0.205,
      0.1861,
      0.0898,
      0.0645,
      0,
      0,
      0.0513,
      0,
      0,
      0,
      0.0292,
      0.0078,
      0.0337,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0544,
      0.043,
      0,
      0,
      0,
      0,
      0,
      0.0936,
      0,
      0.0253,
      0,
      0,
      0,
      0,
      0.151,
      0.0122,
      0,
      0,
      0,
      0.0765,
      0,
      0,
      0,
      0,
      0.1224,
      0,
      0.1606,
      0,
      0,
      0.0344,
      0.0573,
      0,
      0,
      0,
      0.1476,
      0.1406,
      0,
      0.0975,
      0.0166,
      0,
      0.0482,
      0.0892,
      0.1096,
      0.3055,
      0,
      0.0961,
      0,
      0.0277,
      0,
      0.0582,
      0.0305,
      0.179,
      0.184,
      0.124,
      0.1752,
      0.0593,
      0,
      0,
      0.0956,
      0,
      0,
      0.0123,
      0.1502,
      0,
      0.2558,
      0.2232,
      0.1375,
      0.2408,
      0.1736,
      0,
      0.0228,
      0,
      0,
      0.022,
      0,
      0,
      0.0341,
      0.0978,
      0.2035,
      0,
      0,
      0.1725,
      0.1911,
      0.0493,
      0.0456,
      0.0044,
      0,
      0,
      0,
      0.1409,
      0.0717,
      0.2352,
      0.1873,
      0.3441,
      0.1932,
      0.1159,
      0.1899,
      0.0415,
      0.1235,
      0.0493,
      0.0077,
      0,
      0,
      0.1708,
      0.1037,
      0.0646,
      0,
      0,
      0,
      0.111,
      0,
      0,
      0,
      0.1837,
      0.1879,
      0.1252,
      0.1433,
      0.0352,
      0.0765,
      0,
      0.058,
      0.1276,
      0.0731,
      0.0183,
      0,
      0,
      0.2639,
      0.18,
      0,
      0.0917,
      0.028,
      0,
      0.0731,
      0.1181,
      0,
      0,
      0.1237,
      0.1728,
      0.1229,
      0.096,
      0.0757,
      0.156,
      0.135,
      0.0636,
      0.1533,
      0.1075,
      0,
      0.1371,
      0.1752,
      0.0876,
      0.0956,
      0.0316,
      0,
      0.0178,
      0,
      0.0738,
      0,
      0.1203,
      0.0893,
      0.1079,
      0.2174,
      0.1474,
      0.1696,
      0.0234,
      0.0835,
      0,
      0.3535,
      0.2188,
      0.0302,
      0.0927,
      0.0121,
      0.2735,
      0.1265,
      0.2677,
      0.3126,
      0.1171,
      0.1537,
      0.0574,
      0.1252,
      0.1376,
      0.0006,
      0.0467,
      0.1785,
      0,
      0.0235,
      0.03,
      0.126,
      0.0768,
      0.1383,
      0.0091,
      0.2649,
      0.1869,
      0,
      0.0281,
      0,
      0.0448,
      0.0786,
      0.0911,
      0.0113,
      0.0273,
      0.1001,
      0.2042,
      0.0694,
      0.0062,
      0.0454,
      0.1185,
      0,
      0.0912,
      0,
      0,
      0,
      0.1164,
      0.2232,
      0,
      0.1155,
      0,
      0,
      0,
      0,
      0.0978,
      0.0956,
      0.1725,
      0.1415,
      0.0101,
      0.1553,
      0.1981,
      0.2315,
      0,
      0.0318,
      0.0778,
      0.1455,
      0.0615,
      0.1612,
      0.1119,
      0.115,
      0.1339,
      0.1754,
      0.1059,
      0.2556,
      0.2419,
      0.0895,
      0.106,
      0.103,
      0.1022,
      0.0168,
      0.0351,
      0.1108,
      0,
      0.0988,
      0,
      0.2365,
      0.1968,
      0.1324,
      0.1271,
      0.1107,
      0.0066,
      0.1566,
      0.0026,
      0.1043,
      0.1286,
      0.0915,
      0.0685,
      0.2241,
      0.1197,
      0.2222,
      0.0234,
      0.1271,
      0.3105,
      0.1726,
      0.1065,
      0.1066,
      0.0898,
      0.1276,
      0,
      0.1699,
      0.1696,
      0.2241,
      0.2389,
      0.1627,
      0.1053,
      0.0054,
      0.0048,
      0,
      0,
      0.0786,
      0,
      0,
      0,
      0,
      0.107,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0803,
      0,
      0,
      0,
      0,
      0.0765,
      0,
      0,
      0,
      0,
      0.068,
      0,
      0.1087,
      0,
      0,
      0,
      0.0352,
      0,
      0,
      0,
      0.0875,
      0.0875,
      0.0189,
      0.0359,
      0,
      0,
      0,
      0.0348,
      0.0822,
      0.265,
      0,
      0.0417,
      0,
      0,
      0,
      0,
      0,
      0.1379,
      0.026,
      0.1306,
      0.1425,
      0,
      0,
      0,
      0.0525,
      0,
      0,
      0,
      0,
      0,
      0.1341,
      0.2215,
      0.0493,
      0.1973,
      0.0263,
      0,
      0,
      0,
      0,
      0.0128,
      0,
      0,
      0,
      0.0048,
      0.1701,
      0.0103,
      0.0025,
      0.0996,
      0.0999,
      0,
      0.0019,
      0.0276,
      0,
      0,
      0,
      0.0542,
      0.0196,
      0.2562,
      0.121,
      0.2378,
      0.1139,
      0.0294,
      0.0937,
      0,
      0.0651,
      0.059,
      0,
      0,
      0,
      0.1205,
      0.0739,
      0.0325,
      0,
      0,
      0,
      0.1146,
      0,
      0,
      0,
      0.1578,
      0.1829,
      0.1354,
      0.2079,
      0,
      0.0076,
      0,
      0.0314,
      0,
      0.0524,
      0,
      0,
      0,
      0.1617,
      0.1694,
      0.0391,
      0.02,
      0,
      0,
      0,
      0.034,
      0,
      0,
      0,
      0.1751,
      0.1518,
      0.0938,
      0.0416,
      0.1269,
      0.1165,
      0,
      0,
      0.1218,
      0,
      0.0973,
      0.1686,
      0.1092,
      0.0493,
      0.0189,
      0,
      0.0352,
      0,
      0.0435,
      0.0737,
      0.0266,
      0,
      0.126,
      0.1888,
      0.0362,
      0.0848,
      0.0248,
      0.0634,
      0,
      0.3614,
      0.1564,
      0,
      0,
      0,
      0.1977,
      0.097,
      0.1582,
      0.1461,
      0.0651,
      0.0716,
      0.0689,
      0.0561,
      0.0393,
      0,
      0.034,
      0.0769,
      0,
      0.0167,
      0,
      0.0349,
      0.0796,
      0.1125,
      0.0429,
      0.0555,
      0.1725,
      0,
      0,
      0,
      0.0332,
      0.0239,
      0.075,
      0,
      0,
      0.0537,
      0.1334,
      0.0758,
      0,
      0,
      0.13,
      0.032,
      0.0784,
      0,
      0,
      0,
      0.1117,
      0.2316,
      0.0638,
      0.0728,
      0,
      0,
      0,
      0.0137,
      0,
      0,
      0.1402,
      0,
      0.0295,
      0.0704,
      0.1272,
      0.1356,
      0,
      0.0128,
      0.0234,
      0.1014,
      0.05,
      0.0531,
      0.0741,
      0.0627,
      0.1272,
      0.1201,
      0.0846,
      0.205,
      0.1639,
      0.0881,
      0.0335,
      0.0005,
      0.0941,
      0.0595,
      0.0377,
      0.0639,
      0,
      0.1068,
      0,
      0.1038,
      0.1076,
      0.0708,
      0.0347,
      0.0066,
      0,
      0.0969,
      0.1115,
      0.0427,
      0.0475,
      0.0801,
      0.082,
      0.1568,
      0.153,
      0.1117,
      0,
      0.0749,
      0.0542,
      0.093,
      0.0413,
      0.012,
      0.0749,
      0.0509,
      0,
      0.1344,
      0.1326,
      0.1287,
      0.1131,
      0.0678,
      0.0586,
      0,
      0.003,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1364,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0068,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0549,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0327,
      0,
      0,
      0.1234,
      0,
      0,
      0,
      0.0045,
      0.0156,
      0.1037,
      0,
      0.0022,
      0,
      0,
      0,
      0.0434,
      0.054,
      0.078,
      0,
      0.0796,
      0.0098,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1615,
      0.1107,
      0.0412,
      0.1831,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0241,
      0.0347,
      0,
      0,
      0.1207,
      0.2346,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.067,
      0.0345,
      0.2186,
      0.0435,
      0.016,
      0.0773,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1131,
      0.0609,
      0,
      0,
      0,
      0,
      0.0174,
      0,
      0,
      0,
      0.1011,
      0.0547,
      0,
      0.0885,
      0,
      0,
      0,
      0.0066,
      0,
      0,
      0,
      0,
      0,
      0.1052,
      0.1124,
      0.01,
      0.0185,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1466,
      0,
      0,
      0,
      0.3176,
      0,
      0,
      0,
      0.0837,
      0,
      0.0015,
      0.0686,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0177,
      0,
      0,
      0.0835,
      0.0864,
      0,
      0.0813,
      0,
      0,
      0,
      0.214,
      0.1021,
      0,
      0,
      0,
      0.1908,
      0.1146,
      0.1824,
      0.0741,
      0.0234,
      0,
      0,
      0,
      0.0597,
      0,
      0,
      0.1142,
      0,
      0,
      0,
      0,
      0.072,
      0.0545,
      0,
      0.1347,
      0.0259,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0706,
      0,
      0,
      0,
      0,
      0,
      0.0025,
      0,
      0,
      0,
      0.0149,
      0.1531,
      0,
      0.0466,
      0,
      0,
      0,
      0,
      0,
      0.0078,
      0.0933,
      0.0762,
      0.0761,
      0.0405,
      0.0423,
      0.0819,
      0,
      0,
      0.0429,
      0.1443,
      0.1709,
      0.1599,
      0.1247,
      0.1636,
      0.0407,
      0.0009,
      0.0846,
      0.0523,
      0.0706,
      0.0053,
      0.126,
      0,
      0,
      0,
      0,
      0.0359,
      0,
      0,
      0,
      0.1099,
      0,
      0.0311,
      0,
      0,
      0,
      0.0195,
      0.0168,
      0,
      0.0363,
      0,
      0.0005,
      0.0856,
      0.1086,
      0.0314,
      0,
      0.0386,
      0.0523,
      0.0104,
      0,
      0,
      0.0341,
      0,
      0,
      0,
      0.0636,
      0.1094,
      0.0913,
      0.0828,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0165,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0812,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0777,
      0,
      0,
      0,
      0,
      0,
      0.0146,
      0,
      0,
      0,
      0,
      0.003,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0747,
      0,
      0.0017,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0155,
      0.0371,
      0,
      0,
      0.0697,
      0.169,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.101,
      0,
      0,
      0.021,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0247,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0411,
      0,
      0.0199,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2132,
      0,
      0,
      0,
      0.0847,
      0,
      0,
      0.0128,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0422,
      0,
      0,
      0,
      0,
      0,
      0.107,
      0.0065,
      0,
      0,
      0,
      0.0682,
      0,
      0,
      0.0083,
      0,
      0,
      0,
      0,
      0.0245,
      0,
      0,
      0.0668,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0249,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0083,
      0,
      0,
      0,
      0.0308,
      0,
      0,
      0.0159,
      0.0103,
      0.0227,
      0.0157,
      0,
      0.0525,
      0,
      0.0147,
      0.031,
      0.0578,
      0.046,
      0,
      0.0048,
      0.0102,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0101,
      0.0122,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0211,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0601,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      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": [
      0.08327744491910101,
      0.07646324216300804,
      0.19887188570776076,
      0.09457235164711308,
      0.07086147321341141,
      0.190212694599176,
      0.10126194370849916,
      0.06733294093082161,
      0.20991856003222809,
      0.06236302437127065,
      0.05997191809081899,
      0.38018689090169683,
      0.07834335857035264,
      0.10644849524541429,
      0.183968630289946,
      0.052791755569419965,
      0.19112504787574958,
      0.11239227927973394,
      0.06888689632415156,
      0.18482983149113769,
      0.0713625154705475,
      0.1459500275696995,
      0.09421567923224204,
      0.18693754944819382,
      0.13174353040901315,
      0.2904256576999084,
      0.09032309850535712,
      0.15063462766375826,
      0.2067496207809074,
      0.09063212399529263,
      0.22377716871329223,
      0.09870454938150078,
      0.05418513668478251,
      0.3127529552923978,
      0.29664876929098577,
      0.13582047345160067,
      0.169096653055477,
      0.06590174485977006,
      0.07751242257615507,
      0.28142661140530195,
      0.05588564477362987,
      0.1285083479040996,
      0.20247287366129127,
      0.15836697330573854,
      0.1651834377096375,
      0.12422946241927779,
      0.11144766065295765,
      0.10346736684755614,
      0.12174678071053706,
      0.12171658922831867,
      0.11868695568924145,
      0.11110390340256492,
      0.10757424511379621,
      0.13552113126832077,
      0.10605154359650165,
      0.14418740466648267,
      0.13315503052283484,
      0.11632532124063052,
      0.14668675678376936,
      0.14045176078428567,
      0.1110744510495723,
      0.1610777241726798,
      0.1837468672075085,
      0.12855828846210396,
      0.19561469513115637,
      0.11014621701960564,
      0.17190337179454052,
      0.17128438684215894,
      0.1321470154665599,
      0.18050246185715363,
      0.21556434549119113,
      0.14086106864214137,
      0.16062531959406454,
      0.16001445139776088,
      0.14781667673855892,
      0.16051584723904636,
      0.1317025640556513,
      0.10622512693926645,
      0.14146231233335133,
      0.10849898981899934,
      0.15700610819996544,
      0.14603996839950367,
      0.12960061034442744,
      0.17989063388899243,
      0.18866507184750422,
      0.13738284298177963,
      0.16780077209246325,
      0.15823575472712997,
      0.12315246518857406,
      0.1762029628246738,
      0.15496767200044206,
      0.170809220320798,
      0.16749650669660798,
      0.1443627428991348,
      0.1485980292945096,
      0.1341662898679569,
      0.15637013409366893,
      0.11148424103572295,
      0.11889552427485982,
      0.15649719590079,
      0.1387582947508543,
      0.126733426813257,
      0.13742893981455567,
      0.1441331043795143,
      0.09316483369576882,
      0.11343801689448114,
      0.12779233539512783,
      0.09112676931241666,
      0.15113231995534396,
      0.12183071023083228,
      0.11440663120728646,
      0.11298682231336314,
      0.11171850308071825,
      0.13307849549956227,
      0.12575935257543686,
      0.12263911985055123,
      0.11978670829508045,
      0.12613802276156125,
      0.09438688868795023,
      0.1436951928140152,
      0.14000533898218342,
      0.11313647202605435,
      0.1367589211162318,
      0.13434512179280794,
      0.11570966687021171,
      0.12525725622120645,
      0.1126188167236069,
      0.12818446360626695,
      0.11414477335592911,
      0.12611681902726934,
      0.11811106675230622,
      0.14089049895383532,
      0.07933872192967356,
      0.15138642356545867,
      0.14535858445227245,
      0.112335770278186,
      0.14516769807485075,
      0.12371137259341683,
      0.13045513138459722,
      0.12916317909924122,
      0.11225800824460926,
      0.13745513472769,
      0.12920879277358757,
      0.13148862119948523,
      0.16677071094731835,
      0.1906745130859844,
      0.1476480828876441,
      0.12227043284627713,
      0.1909435588956635,
      0.13101238563920875,
      0.15654343692204725,
      0.21608446291697256,
      0.13989239468223125,
      0.1605359863441396,
      0.16235112292145845,
      0.15710116325792903,
      0.19013574567745498,
      0.19224303872504928,
      0.13033119495724454,
      0.18409808641730674,
      0.14482558795181902,
      0.14109652087742172,
      0.18642089549041535,
      0.13682667028882262,
      0.16114607330148312,
      0.12798214045896403,
      0.16462136876061653,
      0.15400882970110072,
      0.14409231143531467,
      0.14155772711585465,
      0.1701394148589142,
      0.15397037770447392,
      0.13218931042430435,
      0.21814444630599497,
      0.1356158475843768,
      0.15792770634130435,
      0.17938309596974786,
      0.1492352875860277,
      0.17048753704637845,
      0.16998016604852015,
      0.19241466147731495,
      0.19573801941071503,
      0.16191046507855136,
      0.16390880995384904,
      0.17845229316770067,
      0.17064277333581218,
      0.14547158850708908,
      0.12217363333154425,
      0.14882379429526865,
      0.1366312124528643,
      0.1586958779009205,
      0.12480335665053231,
      0.15027491840622637,
      0.13038081394578968,
      0.14025908064629555,
      0.120654144629999,
      0.14267271842472537,
      0.13823751656983238,
      0.1443289342580338,
      0.11645784517045563,
      0.12184052018736755,
      0.15198514386983472,
      0.09125300825072699,
      0.1424709555971519,
      0.11980537109578969,
      0.14028712934268095,
      0.18791529023440692,
      0.18991730486231623,
      0.1543901311322906,
      0.18335930113481388,
      0.14333181976372042,
      0.15029367358987308,
      0.17481288553598345,
      0.14067228296158316,
      0.14843857275612002,
      0.15522817819873425,
      0.12058658491463083,
      0.14285579241996024,
      0.13075714887086148,
      0.14020672219192237,
      0.15356789696518194,
      0.13138181036625246,
      0.12136161274144326,
      0.13836790886459646,
      0.12463263024508138,
      0.11464319297961607,
      0.14043145753242467,
      0.10211873306935686,
      0.13928536480477796,
      0.1349407522295789,
      0.12759651787619192,
      0.11382116569590545,
      0.10760125676856817,
      0.12790240899569258,
      0.1359636227901676,
      0.14048762225584205,
      0.12359418185908685,
      0.1267668297560347,
      0.11814762377293306,
      0.1413078318124463,
      0.15434627922662683,
      0.11309442773125057,
      0.11841757887167996,
      0.1570423631964992,
      0.14123041380359028,
      0.14774683297960223,
      0.144050724660775,
      0.13784073564197497,
      0.13844109188694664,
      0.11573973526264403,
      0.1720911856175826,
      0.16281024011007297,
      0.16132985182332718,
      0.17835242926289202,
      0.14125465396067627,
      0.14401370282787926,
      0.10876503054187675,
      0.12082346802711039,
      0.10878773195342369,
      0.12153366505453886,
      0.12601908171272977,
      0.11773409069241578,
      0.12752275530129553,
      0.13277376063552324,
      0.12503405166059284,
      0.13238328265329985,
      0.1362593344791177,
      0.13947342785801434,
      0.14950078509132708,
      0.1218282634637353,
      0.11361437570378125,
      0.13649184949362006,
      0.1126835696365233,
      0.11226059978895224,
      0.12601604357718338,
      0.12728175169993702,
      0.12320367397129296,
      0.13082027800034232,
      0.14920594955093436,
      0.1424712524061541,
      0.144658977655793,
      0.1491164308905874,
      0.13079432721632195,
      0.12637849640596815,
      0.13153637101431728,
      0.12782952651112914,
      0.11310210788514846,
      0.13590307894566384,
      0.13842574035489175,
      0.09897074442339437,
      0.12374197312485138,
      0.10928659639172503,
      0.10740358783581573,
      0.13201908185214395,
      0.13267783286037607,
      0.134679120302302,
      0.1155219645805249,
      0.11467320430752714,
      0.13193209027648128,
      0.14059832844296555,
      0.1505349670488123,
      0.16335102527534814,
      0.14896067463636628,
      0.10991317953760149,
      0.15181761476809882,
      0.11837613013686872,
      0.11806204732377537,
      0.11427687370684472,
      0.1265862615327454,
      0.13946376787244397,
      0.1479810408591766,
      0.18213825834762512,
      0.11587710811691393,
      0.12147673814859955,
      0.10850381934991468,
      0.10432501543700416,
      0.11637060273548533,
      0.12005082841836441,
      0.14151943044249415,
      0.10612464538358886,
      0.11737716754382364,
      0.15787689252854517,
      0.12457287124846914,
      0.1407715819329034,
      0.11814753279383866,
      0.11145363297048921,
      0.14786898973480214,
      0.1556572009257949,
      0.14827957633054908,
      0.1626293643999469,
      0.14092666360207953,
      0.1303535371465458,
      0.10509370849550981,
      0.15625080413099435,
      0.1598352490977049,
      0.11962486682175416,
      0.12022085574847732,
      0.14700570625218548,
      0.1676997035518287,
      0.16767171453246185,
      0.17124076443952516,
      0.14178021353514114,
      0.16801942461313124,
      0.14781743296086106,
      0.12280021181038321,
      0.14189294544088357,
      0.1288032003046613,
      0.1453081263729255,
      0.13045725063698613,
      0.13793761729272952,
      0.11583143215804378,
      0.12509501041483778,
      0.13278953706734606,
      0.13373935813813484,
      0.1287165304462774,
      0.143143031197453,
      0.11795743628550641,
      0.13493883061772333,
      0.1380784963937463,
      0.11428566009060961,
      0.13590789924311403,
      0.13882958351147007,
      0.12065430513602272,
      0.13909035928386138,
      0.131196196000386,
      0.13324587736530502,
      0.12651012305852072,
      0.1167146414168943,
      0.1464914993249329,
      0.1386400779098566,
      0.14132130667521825,
      0.1393281364174145,
      0.14225809371731182,
      0.12080463673646498,
      0.13932217374596062,
      0.14848707417893747,
      0.12710302570060802,
      0.1339734879306926,
      0.13633401137742365,
      0.13332393064360323,
      0.12413046785770648,
      0.12380452252535236,
      0.15084177520048436,
      0.1422550171324811,
      0.12037430199670095,
      0.12327919117943198,
      0.12975985861887537,
      0.11234828578303432,
      0.14524793810692527,
      0.11880625960647348,
      0.15951035985685466,
      0.14935910420182263,
      0.16585467976514764,
      0.15544057699676458,
      0.13412817955188688,
      0.10670578819842032,
      0.12044061650199564,
      0.13374420292615594,
      0.13991279922334005,
      0.1548567063651555,
      0.1556691664034192,
      0.13602201698624286,
      0.12449425049602525,
      0.13341452260023628,
      0.12038947852517524,
      0.14817315038049497,
      0.1388690605974117,
      0.1587001362337457,
      0.15928215162778617,
      0.13254077407403972,
      0.14690596214018375,
      0.11789525829206722,
      0.13031874844387284,
      0.1309126260296621,
      0.20083230954960618,
      0.13998719176872235,
      0.13824869196246412,
      0.14875928915791914,
      0.12947275061778185,
      0.15338833300098584,
      0.14671226735920156,
      0.18219284764064225,
      0.15117134556936898,
      0.17348159121495538,
      0.17665686784276785,
      0.13150749158560218,
      0.1462815481695124,
      0.12110939418592939,
      0.16399165956867037,
      0.13954678134682907,
      0.17752738895072498,
      0.3795819282728873,
      0.48272974914534533,
      0,
      0
    ]
  },
  "energy": {
    "average_loudness_lufs": -14.3151720165097,
    "peak_loudness": 0.97181666665241,
    "dynamic_range_score": 0.806120932102203,
    "rms_level": 0.957363535784031,
    "energy_curve": [
      0,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.359443496255314,
      0.0687805624569164,
      1,
      1,
      1,
      1,
      1,
      0.411686392391429,
      1,
      1,
      1,
      1,
      1,
      1,
      0.894820577958051,
      0.78005703757791,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.535819390240838,
      0.52693052852855,
      1,
      1,
      1,
      1,
      0.848329740412095,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.979482356239768,
      0.992239517324111,
      1,
      0.787790887496051,
      0.557840796077953,
      0.316503693075741,
      0.182258493760053,
      0.588030366336598,
      0.547766292796415,
      0.160182616289924,
      0.323368521297679,
      0.0801692289464614,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0
    ],
    "energy_mean": 0.957363535784031,
    "energy_std": 0.183753076836621,
    "energy_peak_position": 0.00224215246636771,
    "aggressiveness_index": 0.276697323156563,
    "smoothness_index": 0.686440318405047,
    "urgency_index": 0.263586234707608,
    "analyzed_at": "2026-03-22T16:20:55.359611+00:00",
    "danceability": 1,
    "integrated_loudness_lufs": -14.32,
    "dynamic_range_db": 55.17,
    "waveform_peaks_max": [
      -0.0000447895393338751,
      0.359821157522571,
      0.631876485355405,
      0.505589185786693,
      0.336150764342586,
      0.191056197399847,
      0.282530634562427,
      0.144992698645256,
      0.263780445945567,
      0.67808924689111,
      0.252005532580089,
      0.77834936564146,
      0.408621637617033,
      0.335303398540156,
      0.17688939112921,
      0.727590707487771,
      0.609519609881018,
      0.209695681479434,
      0.220266133664808,
      0.29010732947743,
      0.127030678201373,
      0.176811280602675,
      0.564326522934845,
      0.111447876667301,
      0.677821170308413,
      0.186296896335958,
      0.0896030881545526,
      0.0643768083620774,
      0.525571354764472,
      0.290046039134606,
      0.3291220202646,
      0.420116336662268,
      0.412698321738545,
      0.205871993324896,
      0.21731411294671,
      0.771785256249449,
      0.587130768209904,
      0.491230346905441,
      0.282052658828719,
      0.237875793495018,
      0.0702140464636656,
      0.746271522656416,
      0.239239510162579,
      0.230947290387455,
      0.305421047310496,
      0.485935991350678,
      0.236101669576683,
      0.219101970296536,
      0.814572350634132,
      0.39657645031982,
      0.369012563914949,
      0.698700380872243,
      0.280410977507788,
      0.242753332864312,
      0.564824222492065,
      0.226085551004105,
      0.2424158828334,
      0.360589052534775,
      0.265978475115912,
      0.190596467510833,
      0.281893507976931,
      0.70277238254759,
      0.228689697362816,
      0.16118364268465,
      0.436951300161821,
      0.284101503694701,
      0.23709528988476,
      0.619831455011694,
      0.242293668372592,
      0.200038934110319,
      0.28250986438223,
      0.304090343196347,
      0.153495419226485,
      0.77360445198199,
      0.500481081721859,
      0.685016075827977,
      0.121356207421865,
      0.280578499213057,
      0.0697494313968791,
      0.0659489069634559,
      0.759414181162692,
      0.232565428682974,
      0.335021431572465,
      0.584408932883047,
      0.380277875415915,
      0.405076973552009,
      0.71644418362947,
      0.195995458734097,
      0.612146959199219,
      0.123732339579457,
      0.20811644149368,
      0.134730359265239,
      0.135510326617697,
      0.763839014312221,
      0.780766554219479,
      0.272010721404938,
      0.402391682232376,
      0.412683463473618,
      0.79859621054271,
      0.731356178972247,
      0.416787562140277,
      0.79844244842785,
      0.355224852671288,
      0.306627208820213,
      0.579167418340876,
      0.835829400596916,
      0.6383768716253,
      0.778917118778741,
      0.490749964551358,
      0.851688244103949,
      0.713097411772497,
      0.674520856688254,
      0.820866343047911,
      0.792767951489425,
      0.673993231329843,
      0.808891000059421,
      0.712325828352978,
      0.736357450019543,
      0.775498252946172,
      0.77964266250412,
      0.776553660616497,
      0.81306298111602,
      0.749701165962841,
      0.746696552741863,
      0.65209753756437,
      0.840199300020482,
      0.802996872852816,
      0.782652507508523,
      0.621802424781395,
      0.680048235876768,
      0.647632995178645,
      0.788160633734033,
      0.813598611103071,
      0.675818548248992,
      0.62569555178144,
      0.283239018038172,
      0.800454330743934,
      0.854791947302997,
      0.541293334817108,
      0.827958391705339,
      0.644809035439333,
      0.43262966394035,
      0.193472967435192,
      0.765433975807166,
      0.490411258892423,
      0.78518353969387,
      0.769213939331729,
      0.605526294228383,
      0.3985310446074,
      0.644595264768587,
      0.686803985495637,
      0.716224030182946,
      0.428593107597708,
      0.689865206613273,
      0.230432849123275,
      0.544684524515359,
      0.734838297066425,
      0.447435715668771,
      0.65174177629147,
      0.689873211241914,
      0.410210007064863,
      0.688532200514417,
      0.802728482363113,
      0.717441989364286,
      0.757963093711934,
      0.790455555533409,
      0.662240500726087,
      0.556350564467763,
      0.583453243004802,
      0.757691878059182,
      0.646065866771521,
      0.771535700180076,
      0.8674681399991,
      0.777995592446262,
      0.841967015004121,
      0.74013155394667,
      0.823715519983332,
      0.76301103226738,
      0.730381759309341,
      0.792415747829254,
      0.523572656542619,
      0.63922232782678,
      0.699980859865512,
      0.709413974652126,
      0.615513193290533,
      0.61699540985267,
      0.276008745662655,
      0.842154103579399,
      0.80095715744891,
      0.50014059725656,
      0.736499022079023,
      0.76920483602857,
      0.293393360328839,
      0.362169626625302,
      0.731655489301992,
      0.56048388264485,
      0.772846575835044,
      0.447766782923905,
      0.716817942237352,
      0.8306538065259,
      0.704169739582573,
      0.871312349824122,
      0.50647633930207,
      0.777596512006603,
      0.738798757119151,
      0.399867765272488,
      0.502841086907043,
      0.718944976106621,
      0.739842811819444,
      0.506577783582681,
      0.758842870412682,
      0.820383763344789,
      0.536563854918741,
      0.413504722676757,
      0.851029144028068,
      0.674027813418282,
      0.705294939243788,
      0.818149320961805,
      0.780214810339478,
      0.746210258472509,
      0.800787281441101,
      0.674537389123877,
      0.872263383415118,
      0.8239724005495,
      0.872607268539644,
      0.809665094734984,
      0.752476679387638,
      0.847078938270855,
      0.676057169891006,
      0.670614127051304,
      0.849798366977336,
      0.777634442436434,
      0.796707798315456,
      0.838249257384482,
      0.500021051005299,
      0.555647726682448,
      0.729002451927174,
      0.720856041956105,
      0.702587909864024,
      0.678378250607507,
      0.752824697621069,
      0.724723690170871,
      0.788494264563045,
      0.811308293273109,
      0.740428562291707,
      0.626415235909384,
      0.640292593762032,
      0.567715776873229,
      0.733450095652435,
      0.64743842515307,
      0.702908356598806,
      0.62578553845635,
      0.799165480897185,
      0.570795309232853,
      0.666411853968675,
      0.833016898463304,
      0.789823085235161,
      0.599412850660601,
      0.598223666288099,
      0.804173553262932,
      0.538624602092015,
      0.794600802176706,
      0.634883923739432,
      0.555990408496785,
      0.565318416754391,
      0.831193203397017,
      0.565145506312194,
      0.491674996178732,
      0.871474064249788,
      0.736912646876604,
      0.803317162634094,
      0.802370523741174,
      0.846835189481084,
      0.771715202669388,
      0.676279573004403,
      0.81982945589091,
      0.737400929223659,
      0.629572146345863,
      0.773443417688168,
      0.704585143186518,
      0.621404129109249,
      0.729602014307679,
      0.677956673499121,
      0.711550896592067,
      0.62025868244618,
      0.67148636998392,
      0.763610385376548,
      0.354865533785659,
      0.791101209925889,
      0.876602729223482,
      0.642249228445148,
      0.782626453227067,
      0.631803763565797,
      0.782091137147021,
      0.609060573203308,
      0.721144627129828,
      0.407375609917618,
      0.627810866455837,
      0.672266638163924,
      0.676254146536957,
      0.45081000670656,
      0.75380089609034,
      0.864863862845803,
      0.77637211773165,
      0.851775876476318,
      0.73017322042202,
      0.841102305839637,
      0.72264536420529,
      0.835349750692512,
      0.755219912708703,
      0.803681451713977,
      0.682718642772557,
      0.727944742272141,
      0.571117587091833,
      0.659499150847055,
      0.765776814575007,
      0.699933512225516,
      0.777663845059282,
      0.73842981175202,
      0.710378140019519,
      0.74499256088034,
      0.704788188701243,
      0.821858341503125,
      0.852816164292545,
      0.755239427260878,
      0.783985095064705,
      0.788487097019753,
      0.709681998916988,
      0.871503728461808,
      0.833343361749024,
      0.827821214343936,
      0.875453201769341,
      0.82522311069508,
      0.86923229737001,
      0.470986274849406,
      0.388158667742496,
      0.742056013161722,
      0.721343382582144,
      0.772222633343779,
      0.771447492311531,
      0.61274364409884,
      0.614266406982521,
      0.856961672525013,
      0.855176326431232,
      0.872155922583569,
      0.661408961068518,
      0.629625144311958,
      0.49361059909248,
      0.568567301943482,
      0.853017378683071,
      0.847712873468463,
      0.783985827514385,
      0.698334836164339,
      0.618000226177275,
      0.565501790763437,
      0.689294994537783,
      0.521138569304138,
      0.562761748830261,
      0.632875965260917,
      0.404760293701294,
      0.31605637361034,
      0.593081555631002,
      0.738149545113942,
      0.831292868871264,
      0.694797156530187,
      0.733993677950293,
      0.514907567562796,
      0.712361613751605,
      0.835527474375459,
      0.687898003727639,
      0.80049958567056,
      0.795655529715186,
      0.82207776249997,
      0.598653248025125,
      0.80671776954251,
      0.805655874460738,
      0.69223546609397,
      0.815407133997425,
      0.891250938045971,
      0.706601838743354,
      0.74470167372191,
      0.813112996965563,
      0.771413485719268,
      0.8378451021149,
      0.574151184392985,
      0.579476093562951,
      0.31600860742767,
      0.820744180904937,
      0.572261935080383,
      0.778886355892202,
      0.634221056779485,
      0.682129020780559,
      0.562489696092161,
      0.776704388296971,
      0.686204475432966,
      0.793639775879367,
      0.647026265254848,
      0.694805108840993,
      0.285331260547664,
      0.781808202299397,
      0.789554171567116,
      0.572595356638058,
      0.645455003738817,
      0.767307058908985,
      0.746794230138408,
      0.80378514566146,
      0.701699239131454,
      0.708128682418106,
      0.76031143202008,
      0.817339859430289,
      0.730421730134708,
      0.519258370976861,
      0.544286071889711,
      0.829592173033298,
      0.611943024281312,
      0.8510328585943,
      0.766740927624566,
      0.686319365396979,
      0.518031936306372,
      0.817248721763026,
      0.791257430978959,
      0.68118756135323,
      0.820109042397142,
      0.788451834799468,
      0.763246724110676,
      0.686322923009708,
      0.819942985591233,
      0.745049064141331,
      0.873066252899519,
      0.843906960298112,
      0.781602226985954,
      0.823513311553956,
      0.834878837866427,
      0.845472728441546,
      0.831554824267353,
      0.714191691593671,
      0.841157972015279,
      0.73707127455005,
      0.643161756110137,
      0.834729156542638,
      0.654203958206944,
      0.847739817153101,
      0.750423779889502,
      0.718437807021401,
      0.704902293897742,
      0.651578596966444,
      0.651666857152824,
      0.780768856204186,
      0.747224021146772,
      0.57556973015084,
      0.625094995362085,
      0.662076745904885,
      0.643112106485434,
      0.594051632913666,
      0.661919321541626,
      0.757304307543058,
      0.769861477166242,
      0.769188931406958,
      0.844291496379849,
      0.594188601003732,
      0.641980628684109,
      0.865869150030917,
      0.845268165709628,
      0.599734709976907,
      0.821322240655566,
      0.778465458915661,
      0.739453776403961,
      0.750892809273554,
      0.631917607173125,
      0.83957232309483,
      0.730634977627111,
      0.842705010374052,
      0.697996392094575,
      0.84148087768827,
      0.828120629309349,
      0.755940120014989,
      0.843553448692084,
      0.814395725625704,
      0.739486108825527,
      0.754035593894786,
      0.872681350592942,
      0.824925736125203,
      0.660007523242463,
      0.879596408017102,
      0.852386791826856,
      0.848877363823199,
      0.785509375165579,
      0.754689095962403,
      0.827263296959494,
      0.825351812567335,
      0.817875698688678,
      0.650261809396205,
      0.800117770116203,
      0.735198557673071,
      0.811540165914505,
      0.558200941629517,
      0.864295586530179,
      0.845060934768164,
      0.396363333622002,
      0.8643443467517,
      0.730220934286856,
      0.670584619792787,
      0.715422782551408,
      0.769707610415712,
      0.701304762661209,
      0.754925101712704,
      0.622601736653066,
      0.763461227231101,
      0.629949305612972,
      0.734100510967831,
      0.620340402903278,
      0.774223162689831,
      0.799625982474253,
      0.805308431723484,
      0.532675017981104,
      0.816145286320859,
      0.74222463354151,
      0.866283507278177,
      0.583886277718889,
      0.830677454186981,
      0.788906372143432,
      0.630655491739678,
      0.699471493431254,
      0.831791719420837,
      0.849850841765089,
      0.798679657488339,
      0.672201921002957,
      0.729323055615458,
      0.692561615472684,
      0.813352403375091,
      0.728094214324594,
      0.832102801263288,
      0.800633623961908,
      0.781097621474613,
      0.715445750080643,
      0.848116139334862,
      0.8351740674051,
      0.806101727044216,
      0.837912906028088,
      0.785827886140493,
      0.832814114537751,
      0.858455503646354,
      0.841961678585028,
      0.597934714889536,
      0.845786164586538,
      0.769453973555268,
      0.765198336281704,
      0.543059846490559,
      0.765220309772089,
      0.600516443056271,
      0.802222725859418,
      0.593322217668552,
      0.51524663944657,
      0.669756166887438,
      0.756415741446156,
      0.760299398918202,
      0.819692173893838,
      0.746658726947701,
      0.671372735647929,
      0.840535494423372,
      0.742071028380151,
      0.6965995059201,
      0.703894704727921,
      0.819760082442695,
      0.768837146289461,
      0.678143500485228,
      0.778227360451989,
      0.793254350394448,
      0.563296175507125,
      0.657180215161758,
      0.663195353518984,
      0.803571950486892,
      0.667840287797203,
      0.797077162225261,
      0.778913561166012,
      0.711255876324731,
      0.75164330860587,
      0.796687917538441,
      0.588390058480301,
      0.78505870934135,
      0.816219473009825,
      0.729956938495231,
      0.70833591335957,
      0.822844323407401,
      0.767646549335433,
      0.817672339266948,
      0.785022610035717,
      0.787740155300165,
      0.832006013269925,
      0.669172090585871,
      0.795474980869189,
      0.789038317721411,
      0.836094547380895,
      0.846306988626496,
      0.676443537096942,
      0.723604140835755,
      0.753302725672612,
      0.807387960999253,
      0.592065543289867,
      0.751462393535033,
      0.72014729225552,
      0.616632742625649,
      0.781965678980489,
      0.600150532123526,
      0.540652179758374,
      0.772148865197486,
      0.555597920104242,
      0.736959680609594,
      0.726813159835148,
      0.807336584886019,
      0.634860589985357,
      0.809198210382137,
      0.656206370995028,
      0.643811125068848,
      0.793912456431478,
      0.752038517525794,
      0.803056201276855,
      0.777164052788692,
      0.641195442627685,
      0.822738850653553,
      0.821773795882977,
      0.788919922462503,
      0.749400338415904,
      0.632296597564432,
      0.624000715540911,
      0.814590714193954,
      0.647345874904281,
      0.713911372637759,
      0.886348756976745,
      0.655629096011914,
      0.810085154626178,
      0.830606720475075,
      0.538284588487224,
      0.880750016262315,
      0.66830016156026,
      0.771974542173765,
      0.741821995489122,
      0.69306590707702,
      0.764868733925929,
      0.844201980565447,
      0.835979919006053,
      0.816849118145024,
      0.819590363388388,
      0.773437244183727,
      0.831457931638322,
      0.686083202693175,
      0.568726766702276,
      0.814051421958505,
      0.629979022142826,
      0.685432159563767,
      0.635301524692416,
      0.761787632031278,
      0.775172103567457,
      0.53994651681001,
      0.803878794584768,
      0.828716110898782,
      0.768427497647283,
      0.768670357033872,
      0.545556976719312,
      0.789059035583774,
      0.824642905913248,
      0.614408397584675,
      0.695467138715593,
      0.598209592790685,
      0.798556396670846,
      0.612138012849562,
      0.790589436871255,
      0.799663023500902,
      0.796073863117849,
      0.617763540295128,
      0.820152204610399,
      0.622546541337933,
      0.543277384045371,
      0.864941345558327,
      0.624660705019975,
      0.696995865832378,
      0.560865175020864,
      0.770619300995353,
      0.564178411146083,
      0.754967793065452,
      0.823048467596645,
      0.706411663415855,
      0.85118489422063,
      0.855497244026521,
      0.623048583275396,
      0.678820440942589,
      0.832667206059177,
      0.765516481031779,
      0.778214385629095,
      0.782553312894785,
      0.794547281032268,
      0.737011318311999,
      0.80253234280251,
      0.836704364056913,
      0.691512224353298,
      0.650718910314048,
      0.791749794117086,
      0.796976502712164,
      0.71222736618892,
      0.743121047313549,
      0.767204620589524,
      0.747078315978385,
      0.77826638955634,
      0.750993939647159,
      0.749643197802492,
      0.698466310881809,
      0.612656901129654,
      0.842105814218387,
      0.521154997104092,
      0.70424638520975,
      0.653236496815992,
      0.653620457401553,
      0.770836629278828,
      0.750374287218302,
      0.709352815103887,
      0.794191833666373,
      0.682633678609735,
      0.630299939738115,
      0.620346105547211,
      0.612499424448561,
      0.69714570410967,
      0.633731937347081,
      0.412409082591894,
      0.645277960187715,
      0.52508877506135,
      0.573529857793432,
      0.635744761384182,
      0.471371334109487,
      0.658506681531333,
      0.482757839873492,
      0.759649716052486,
      0.861455094355244,
      0.536772707713067,
      0.728332051199094,
      0.844820743591122,
      0.806816231706569,
      0.777014109875731,
      0.553626374838365,
      0.78662123377906,
      0.762511396950292,
      0.659359096004768,
      0.838824178065055,
      0.632866861957757,
      0.68210835523603,
      0.744432027604186,
      0.723027127441812,
      0.804888005607451,
      0.726718987733498,
      0.681742810528125,
      0.754490654417092,
      0.815099400496367,
      0.768395793039728,
      0.808399212417471,
      0.571239801552641,
      0.83324322541427,
      0.758407847620893,
      0.703192180849612,
      0.791537697617036,
      0.678654541090182,
      0.794544612822721,
      0.794547908846279,
      0.662403470779776,
      0.541181426969647,
      0.334528126713322,
      0.553144265995751,
      0.57936591220402,
      0.566463706463957,
      0.819808424121542,
      0.740597758167671,
      0.603273592921246,
      0.799001935347319,
      0.602681093448365,
      0.741714953200246,
      0.822745965879011,
      0.641278366394971,
      0.785379836207976,
      0.723256384191495,
      0.683165855619726,
      0.771954033582739,
      0.723805302908446,
      0.841422804892253,
      0.729354917176516,
      0.662134923336571,
      0.823694697485301,
      0.791813046378694,
      0.812340681096364,
      0.752251032568518,
      0.822130028016386,
      0.742612936507313,
      0.855584928716724,
      0.751388416117404,
      0.838621603410839,
      0.857707777159253,
      0.809206005739441,
      0.788279342899946,
      0.860606708355045,
      0.853991641392475,
      0.803793202607935,
      0.844348418183513,
      0.750770437859243,
      0.713918069320543,
      0.782075337161077,
      0.749207076336184,
      0.822036745317918,
      0.857117736624581,
      0.861080184755008,
      0.862458759687496,
      0.592237145786207,
      0.773744611459946,
      0.82860849311373,
      0.660366632856755,
      0.521954047386592,
      0.804592043619098,
      0.82479065147717,
      0.849618602898853,
      0.727329746130532,
      0.719398414776065,
      0.819806959222183,
      0.772617737628035,
      0.766683430324725,
      0.764612481173773,
      0.742601949762121,
      0.824203331469879,
      0.809704071521501,
      0.839262026019893,
      0.83543884796424,
      0.75243927213615,
      0.801914678451354,
      0.717028940062883,
      0.787931900162692,
      0.866218894752878,
      0.79722720977389,
      0.727366054707502,
      0.701207451489504,
      0.859321206849688,
      0.802365658182589,
      0.676785067918926,
      0.653317694094748,
      0.804627567428554,
      0.728955575147686,
      0.807226403527089,
      0.778938935315624,
      0.790883881642414,
      0.856195216253251,
      0.750895739072272,
      0.70654455071485,
      0.783342056563938,
      0.699370467693317,
      0.794022794743912,
      0.721958064816747,
      0.862270049259356,
      0.725470684208293,
      0.523894934401599,
      0.793921925959478,
      0.837390460135268,
      0.708992031318899,
      0.643024369477396,
      0.725715636308251,
      0.657676292866117,
      0.713561994140637,
      0.715202524469215,
      0.783305224808626,
      0.593441293059305,
      0.700689191023423,
      0.673408579532099,
      0.714344459669681,
      0.671732368440563,
      0.809226514330467,
      0.791914176752299,
      0.849664799546496,
      0.678086421728061,
      0.756020951068905,
      0.802667532086212,
      0.789728599226505,
      0.81365103357299,
      0.773071594840154,
      0.803466216143872,
      0.769411805380863,
      0.876514050494429,
      0.848778483116467,
      0.744898179507353,
      0.781446790700398,
      0.78917790170319,
      0.874451053654282,
      0.802617568554503,
      0.84514495720997,
      0.781763208961942,
      0.732415510480141,
      0.830196130111881,
      0.881456411660358,
      0.794256184602501,
      0.827805728264998,
      0.693065331580843,
      0.722718452219737,
      0.818579792102014,
      0.795620633719741,
      0.758274175554384,
      0.800977142861594,
      0.766700172031685,
      0.803636196787351,
      0.758854641925388,
      0.782784400768668,
      0.791518967832375,
      0.619069184166672,
      0.836783259350962,
      0.771908203159936,
      0.786242034116416,
      0.829086259576101,
      0.838122125047254,
      0.792016248846921,
      0.693890907005309,
      0.82284442804307,
      0.735137031899993,
      0.780291612920157,
      0.593217843589224,
      0.784496240305328,
      0.794348420944284,
      0.698757616582913,
      0.746452019184579,
      0.80974665823858,
      0.680994874769687,
      0.810447926488867,
      0.753290744888568,
      0.77053998715863,
      0.76601936005459,
      0.765585331301652,
      0.789933161958423,
      0.768451877758044,
      0.697909125947046,
      0.582722990674341,
      0.729162021321636,
      0.741256962879221,
      0.637365672524916,
      0.709605510243315,
      0.550355882383728,
      0.58658514551651,
      0.69094007651794,
      0.57908203563538,
      0.741111048439498,
      0.353620473966177,
      0.67496309934117,
      0.614503720678679,
      0.529106366189077,
      0.542035097071104,
      0.630063986305648,
      0.556209515586625,
      0.280500179415184,
      0.386449182508377,
      0.367472353033546,
      0.237690222136933,
      0.383618081384689,
      0.442522704807856,
      0.303452902703845,
      0.360772086477899,
      0.224022946547716,
      0.199155207413085,
      0.261929754876807,
      0.249540133117809,
      0.177821878047965,
      0.208183787625819,
      0.188426886162861,
      0.115290922420511,
      0.23856455778292,
      0.144821174625668,
      0.100967129948477,
      0.0461425062895687,
      0.125785840732687,
      0.0297786387285199,
      0.122242026832469,
      0.0959532895415036,
      0.0696850346826467,
      0.0888865430966645,
      0.092839397444236,
      0.0891498064386106,
      0.0556032121940196,
      0.0789158102452981,
      0.0423467002708218,
      0.061962072182539,
      0.03746864099305,
      0.0246448760358512,
      0.033715928520402,
      0.0197468182659373,
      0.0111235050767627,
      0.0123417503712589,
      0.00956471073714075,
      0.00680080492308475,
      0.00501120514413887,
      0.0026246435489099,
      0.00148896233658947,
      0.000279304932838764,
      0.0000162109405034203,
      -0.0000168625620356739,
      -0.0000206114378969471,
      -0.0000447895403156899,
      -0.0000447895403156899,
      -0.0000447895403156899,
      -0.0000447895403156899,
      -0.0000447895403156899,
      -0.0000447895403156899,
      -0.0000447895403156899
    ],
    "waveform_peaks_min": [
      -0.0000447895409804252,
      -0.451926270966513,
      -0.772078142433976,
      -0.44052354667389,
      -0.398357438822837,
      -0.245197868459122,
      -0.241325956340865,
      -0.252655697254709,
      -0.267524791973401,
      -0.764980234179111,
      -0.218372317490105,
      -0.652625121553342,
      -0.458520933973726,
      -0.379345791829312,
      -0.206796878947163,
      -0.780232243126679,
      -0.777144392231409,
      -0.223294353177428,
      -0.190601827957781,
      -0.278842996804793,
      -0.177112302210427,
      -0.180448989804849,
      -0.806832775090587,
      -0.138794615770053,
      -0.778158311859175,
      -0.155608285911067,
      -0.0655034511724003,
      -0.0529144036388348,
      -0.809479534325295,
      -0.307271853963319,
      -0.252925448008102,
      -0.41296865893651,
      -0.429939020991102,
      -0.251828238388211,
      -0.220448419947731,
      -0.60601343653148,
      -0.652877345832261,
      -0.361733646901975,
      -0.297038747173189,
      -0.187070792688579,
      -0.0511133131468087,
      -0.719951686821655,
      -0.300260139340382,
      -0.215091126038364,
      -0.364658527743556,
      -0.41698413119195,
      -0.243591423199558,
      -0.213210927711087,
      -0.746424510952159,
      -0.369156945926957,
      -0.41456631479992,
      -0.771237290201909,
      -0.262220757619301,
      -0.251872473117069,
      -0.795377680645879,
      -0.227481715677296,
      -0.246236037403062,
      -0.214260462704518,
      -0.189160628577696,
      -0.225652344125993,
      -0.260629615326256,
      -0.792555447395097,
      -0.20382916287879,
      -0.180907934926348,
      -0.435560310692094,
      -0.303013888546131,
      -0.220965346309038,
      -0.812280003357029,
      -0.215728239544402,
      -0.179692120776212,
      -0.314728479448719,
      -0.297121121603216,
      -0.161624653737398,
      -0.561862102300893,
      -0.790242371307236,
      -0.810029813305937,
      -0.0934865080652819,
      -0.183789732031424,
      -0.0695596332426155,
      -0.0491435826558069,
      -0.711778594755119,
      -0.291934488469173,
      -0.444804296507894,
      -0.486550841487179,
      -0.275118307072116,
      -0.342204419574215,
      -0.782599572808658,
      -0.295546799493882,
      -0.789185289466214,
      -0.136287218166329,
      -0.198555551345307,
      -0.27959349613711,
      -0.294191767586807,
      -0.671774913788204,
      -0.803083155909889,
      -0.482322200216088,
      -0.393661520815141,
      -0.450846535503261,
      -0.69919416754029,
      -0.872612720542801,
      -0.532873051932136,
      -0.802548258372517,
      -0.321543949875384,
      -0.329353328358215,
      -0.835971297511797,
      -0.819148759497879,
      -0.593777079867917,
      -0.823832042748602,
      -0.581961829452233,
      -0.793071196605134,
      -0.752531728697665,
      -0.749945710468521,
      -0.847312391395674,
      -0.804320368054233,
      -0.723464724755874,
      -0.853724203572184,
      -0.714213466761114,
      -0.748935348453485,
      -0.830824321296116,
      -0.819656242490104,
      -0.796725492691828,
      -0.759908909551755,
      -0.822075262192321,
      -0.723173732961776,
      -0.750231051936521,
      -0.841193035912622,
      -0.844767024123743,
      -0.762609189930901,
      -0.835704581192791,
      -0.724588407199896,
      -0.687069090910177,
      -0.820537850315051,
      -0.809304897394568,
      -0.687899584211062,
      -0.582530995171038,
      -0.280565483020724,
      -0.749342328886116,
      -0.8585478555722,
      -0.576660254036342,
      -0.782800891834852,
      -0.807115605302543,
      -0.43959401571277,
      -0.218021107868784,
      -0.767725926438386,
      -0.448051088983615,
      -0.790563393538194,
      -0.684722897633235,
      -0.628656019698707,
      -0.283430146035083,
      -0.529052280496857,
      -0.802890312372844,
      -0.807790557682202,
      -0.430435151013295,
      -0.646099622723007,
      -0.283138474109139,
      -0.451249121237815,
      -0.773227251345443,
      -0.369968186264838,
      -0.789571447400814,
      -0.742172849833997,
      -0.281656676089676,
      -0.496268774563449,
      -0.761575023301281,
      -0.838685232845682,
      -0.729363142024889,
      -0.80731043691729,
      -0.751228753035668,
      -0.574743485542925,
      -0.755240693837296,
      -0.770673094677357,
      -0.706420149853399,
      -0.751609940776014,
      -0.806482036329775,
      -0.769847937795566,
      -0.821304568175984,
      -0.724931455239073,
      -0.852518120539218,
      -0.815774259188753,
      -0.792652183070625,
      -0.791431869586744,
      -0.575312441990394,
      -0.727443757639759,
      -0.798785455097588,
      -0.678583452101831,
      -0.587038333545179,
      -0.701255594845409,
      -0.263685970885307,
      -0.811130109678049,
      -0.753925528119919,
      -0.461045269476289,
      -0.787941642228257,
      -0.615843172819543,
      -0.318394206982197,
      -0.404317251070343,
      -0.699633428076653,
      -0.66566513246882,
      -0.728553942082544,
      -0.376476524845539,
      -0.809441656213298,
      -0.812631160660515,
      -0.551868663509463,
      -0.769562805598904,
      -0.561491430445232,
      -0.706508723946784,
      -0.720940023028472,
      -0.439008369876175,
      -0.649381258876339,
      -0.805441643877879,
      -0.846969238720828,
      -0.485172161919023,
      -0.737101577524476,
      -0.779879359334663,
      -0.543590046371244,
      -0.483392204562169,
      -0.755604198149665,
      -0.678338395366204,
      -0.799218856036515,
      -0.791126228799055,
      -0.845024375550419,
      -0.857751787406252,
      -0.82661310186383,
      -0.656423344002058,
      -0.830318721745924,
      -0.795982684081146,
      -0.795366275358013,
      -0.740675931960436,
      -0.745310978167981,
      -0.793473102207842,
      -0.721096296399376,
      -0.624073500596748,
      -0.855830519579089,
      -0.787681727227703,
      -0.79808701201035,
      -0.78774471790014,
      -0.514992699627516,
      -0.47786487769149,
      -0.768594193215599,
      -0.798620183059192,
      -0.781100143679052,
      -0.801615745294845,
      -0.695606629010099,
      -0.730206191605993,
      -0.698472338381143,
      -0.723402152626111,
      -0.646994728549191,
      -0.53432999898033,
      -0.78794771109703,
      -0.416139982936326,
      -0.74229302389927,
      -0.718688211124517,
      -0.730997603484693,
      -0.676066231824726,
      -0.797097681764683,
      -0.602958284282617,
      -0.766958737716944,
      -0.845637959110503,
      -0.864066916225068,
      -0.721583741661084,
      -0.65831086682613,
      -0.805582535805515,
      -0.571260739634736,
      -0.74084340134787,
      -0.712480804726422,
      -0.658901901399653,
      -0.371986189767529,
      -0.774102633348114,
      -0.435634026520552,
      -0.51279576913169,
      -0.836741677621129,
      -0.792550477200843,
      -0.842667038574782,
      -0.798094441142814,
      -0.864484203271046,
      -0.783022667134238,
      -0.799682915226313,
      -0.769672045236818,
      -0.773126696468014,
      -0.593872821504595,
      -0.840653429770167,
      -0.604122931590856,
      -0.793859626367281,
      -0.658298048956739,
      -0.369917254853195,
      -0.732098109128142,
      -0.756776693133042,
      -0.778793868909644,
      -0.787431334072983,
      -0.462584564795593,
      -0.716866347182429,
      -0.872508398781306,
      -0.668150648138369,
      -0.855366355753623,
      -0.456482003337335,
      -0.866047146251431,
      -0.615456544024435,
      -0.723413976456652,
      -0.430229620401444,
      -0.806801959886214,
      -0.706471264377461,
      -0.662980913664789,
      -0.324805129755524,
      -0.737025350439973,
      -0.63868629024545,
      -0.842937783367026,
      -0.86824140853771,
      -0.750224773796411,
      -0.817142318236556,
      -0.774754565880703,
      -0.71630230861138,
      -0.771509970754021,
      -0.743228205186489,
      -0.720263291842448,
      -0.801651007515129,
      -0.60706889651964,
      -0.722383315121927,
      -0.727044258657426,
      -0.729911171338657,
      -0.790256287851146,
      -0.681768457215303,
      -0.756890850647375,
      -0.8016017764331,
      -0.604355118139258,
      -0.830387415062294,
      -0.831993467938101,
      -0.626130742475127,
      -0.72423970883462,
      -0.792451753447614,
      -0.704186910780603,
      -0.785398629258867,
      -0.697578488182982,
      -0.793986130890498,
      -0.730729683855499,
      -0.72587448420143,
      -0.805905284525003,
      -0.255769236206596,
      -0.372910096561467,
      -0.802399152544904,
      -0.692883695008723,
      -0.757950182155269,
      -0.758995021623076,
      -0.412613133093864,
      -0.598773380720959,
      -0.801786772295008,
      -0.714984317730954,
      -0.808522693454697,
      -0.676354136866604,
      -0.701734512300134,
      -0.429176174649903,
      -0.446158805236626,
      -0.694139950844734,
      -0.723038334406737,
      -0.599285415364764,
      -0.609958672094439,
      -0.454794857818441,
      -0.666112711540828,
      -0.778310452121174,
      -0.421509152994067,
      -0.745648061974054,
      -0.649687946020712,
      -0.396192500682654,
      -0.327875087951481,
      -0.509061792983432,
      -0.692494764228908,
      -0.76701063700852,
      -0.544101400883204,
      -0.647165546278017,
      -0.432595929885655,
      -0.552541418540083,
      -0.768275263698011,
      -0.515046273089788,
      -0.734763284240506,
      -0.710991315985324,
      -0.675160296206853,
      -0.423095691317698,
      -0.739181943885593,
      -0.727063773209601,
      -0.728125720609207,
      -0.66026446707486,
      -0.643409125778866,
      -0.798416719001794,
      -0.696730102182783,
      -0.774486227708835,
      -0.819324704374461,
      -0.670694236603936,
      -0.703894506404979,
      -0.7847555907581,
      -0.299401891428428,
      -0.776797629626,
      -0.551335283189284,
      -0.788182932079818,
      -0.55001117112225,
      -0.70793626837213,
      -0.509617879243676,
      -0.551015725857685,
      -0.813025218588087,
      -0.761632729872459,
      -0.474759081779073,
      -0.728608404947998,
      -0.221366048601559,
      -0.735222059329044,
      -0.762583187967279,
      -0.622326451157638,
      -0.721792646773244,
      -0.751072531982598,
      -0.694714819207473,
      -0.810947886661356,
      -0.495246484082204,
      -0.704720081829445,
      -0.491533173478476,
      -0.7168798975015,
      -0.753629566131567,
      -0.457850742516984,
      -0.424908138049621,
      -0.800338928549973,
      -0.563648180844354,
      -0.575997753301234,
      -0.775704553115015,
      -0.61794028088762,
      -0.467339889704079,
      -0.798802876936393,
      -0.626086481587352,
      -0.603886925840554,
      -0.839770670952867,
      -0.701782540071975,
      -0.586593370364883,
      -0.681514715719191,
      -0.646804762493029,
      -0.710237468311616,
      -0.7774596595006,
      -0.754012741949614,
      -0.766018220010632,
      -0.865164544387633,
      -0.766972444989517,
      -0.6717176257597,
      -0.785612033704773,
      -0.680705777366017,
      -0.768437082759346,
      -0.67474478796724,
      -0.525857334994878,
      -0.810331007077714,
      -0.462736077243581,
      -0.624905668068329,
      -0.67985137481488,
      -0.735178897115788,
      -0.67554383824974,
      -0.805614815909247,
      -0.475632632657545,
      -0.77730898413796,
      -0.818494995841091,
      -0.654706638906813,
      -0.737253403879469,
      -0.773742477377137,
      -0.75866133847623,
      -0.493541655135333,
      -0.784575878997452,
      -0.775586105538273,
      -0.805061502494219,
      -0.612180924422042,
      -0.742014169842717,
      -0.56731984645202,
      -0.689412354388401,
      -0.70530635548005,
      -0.538082861866751,
      -0.479546739109125,
      -0.764308525505175,
      -0.612581103536221,
      -0.483970735173306,
      -0.8111007070552,
      -0.60019532713804,
      -0.775943854888874,
      -0.655052459791206,
      -0.730720214327499,
      -0.423259629251321,
      -0.689567058224278,
      -0.621483244623031,
      -0.808986909597997,
      -0.590743377931096,
      -0.683474646425865,
      -0.473618814581594,
      -0.848764472885283,
      -0.611853728686643,
      -0.649857403485848,
      -0.755294947431413,
      -0.813227688606634,
      -0.595604280229099,
      -0.791970377054679,
      -0.383309966448269,
      -0.780491687266725,
      -0.721357780934958,
      -0.680307481693872,
      -0.813645184923949,
      -0.394355229138379,
      -0.636130354771,
      -0.656618437205977,
      -0.728410329627527,
      -0.570294429236138,
      -0.837952050716503,
      -0.649109258456073,
      -0.354858638779933,
      -0.850091619386703,
      -0.726027670820114,
      -0.582486001833583,
      -0.743092701995781,
      -0.789295313871642,
      -0.551497468475459,
      -0.702023777605702,
      -0.653748071547684,
      -0.777218892827381,
      -0.620806461119173,
      -0.790184874007395,
      -0.651500235799133,
      -0.626454642186969,
      -0.760060945178086,
      -0.596606009801484,
      -0.623594792413361,
      -0.75651803376051,
      -0.636297876476268,
      -0.76680900407532,
      -0.602580706472834,
      -0.698512727749184,
      -0.589879034991452,
      -0.574393531549627,
      -0.73173026243553,
      -0.578131536171121,
      -0.672270782221225,
      -0.662047772773106,
      -0.688898750209568,
      -0.784101931736981,
      -0.769057363002214,
      -0.779598255611238,
      -0.818867760410122,
      -0.778141203927375,
      -0.876058425424341,
      -0.760481685201124,
      -0.666894706209363,
      -0.847388723115845,
      -0.840842820330152,
      -0.808089501787107,
      -0.802452830642845,
      -0.869548778897784,
      -0.829504080748817,
      -0.840367146581151,
      -0.835862214827386,
      -0.687493807088619,
      -0.827348429024214,
      -0.808658039691901,
      -0.679129231748727,
      -0.610801617039875,
      -0.783343846318698,
      -0.594440365370539,
      -0.717177219753543,
      -0.733662621643554,
      -0.654549371497057,
      -0.729438165799203,
      -0.769720753140504,
      -0.809619222942742,
      -0.804911664216927,
      -0.785753239539414,
      -0.747024596511006,
      -0.807300496528782,
      -0.780351370835266,
      -0.647956853521048,
      -0.715268298935263,
      -0.851826635723936,
      -0.80738996002535,
      -0.749367441446556,
      -0.712871409676933,
      -0.83495266927895,
      -0.608051791671695,
      -0.800543020421383,
      -0.775884892689675,
      -0.798749878970298,
      -0.69952345598906,
      -0.832488185378769,
      -0.79932945593812,
      -0.603011439202215,
      -0.808441810082946,
      -0.819211383945476,
      -0.630339659922706,
      -0.770178743461529,
      -0.797152353901474,
      -0.766495724883831,
      -0.719766377052741,
      -0.849264631380713,
      -0.769741209413696,
      -0.781733974240991,
      -0.804029166988798,
      -0.830328086638254,
      -0.858366835865695,
      -0.752591632617881,
      -0.831842374032787,
      -0.843614619188718,
      -0.782150267248119,
      -0.84483247373439,
      -0.688920305157279,
      -0.723559420035867,
      -0.809566957426327,
      -0.734139917245417,
      -0.818073575686207,
      -0.767696052955029,
      -0.675309297398797,
      -0.766241355573708,
      -0.813335567980857,
      -0.733858708886323,
      -0.40562668798487,
      -0.632607899626615,
      -0.565978992678027,
      -0.830267554904027,
      -0.871951789342721,
      -0.833031035226947,
      -0.759205757859435,
      -0.783166384224922,
      -0.791414866290613,
      -0.557428845980051,
      -0.786638457294924,
      -0.786231215273122,
      -0.753422858368445,
      -0.834228485817261,
      -0.491636867425959,
      -0.818705051945604,
      -0.812859109464343,
      -0.76212687181695,
      -0.854645520633326,
      -0.71640867076841,
      -0.711671029287901,
      -0.780501836926569,
      -0.755055907246725,
      -0.78056106071494,
      -0.881156432147164,
      -0.692816414273877,
      -0.807510761904633,
      -0.874081596057204,
      -0.518595724236646,
      -0.853509648133924,
      -0.73991915448801,
      -0.798025695508609,
      -0.771603619677328,
      -0.756528968187868,
      -0.792943017911221,
      -0.655986019225563,
      -0.830376428317101,
      -0.706574121239596,
      -0.754268785430433,
      -0.820109262616874,
      -0.864538823090003,
      -0.758629006054663,
      -0.464933478599916,
      -0.759333936553348,
      -0.829839647337696,
      -0.7529446733634,
      -0.732994522900182,
      -0.661487344132619,
      -0.800781275838557,
      -0.579248835839364,
      -0.697131903149824,
      -0.831565037193427,
      -0.668654678153533,
      -0.733164346590157,
      -0.519528028042981,
      -0.6470104762173,
      -0.748966477564864,
      -0.731370054146719,
      -0.779273937356722,
      -0.577346925610874,
      -0.801195057589641,
      -0.623879819974355,
      -0.854190564746688,
      -0.846327612801586,
      -0.749247790559626,
      -0.812209269645123,
      -0.856262403300823,
      -0.643309303351117,
      -0.632471716304063,
      -0.802399675723247,
      -0.660798265937713,
      -0.727123624811983,
      -0.480382987371777,
      -0.610735225708212,
      -0.475967048254071,
      -0.821478420339197,
      -0.863223343465621,
      -0.758386983753423,
      -0.850958159675386,
      -0.840931656012709,
      -0.797750189793449,
      -0.776341313475672,
      -0.819381521542457,
      -0.78907641605314,
      -0.871173456922583,
      -0.787998877938927,
      -0.672345282817197,
      -0.559994617207339,
      -0.804952472127642,
      -0.791242060484085,
      -0.779416660408556,
      -0.653399530135911,
      -0.817805813010515,
      -0.782496611310854,
      -0.607921520264412,
      -0.727604739615746,
      -0.873253300105358,
      -0.638594001585833,
      -0.716423319762,
      -0.686707679311178,
      -0.77679035744704,
      -0.821245292069779,
      -0.797885954573328,
      -0.740065068927733,
      -0.416435683335507,
      -0.768679732874598,
      -0.759408123242314,
      -0.824150030545174,
      -0.717115432391293,
      -0.777219206734387,
      -0.865530716909549,
      -0.754195331191146,
      -0.63993318118913,
      -0.758706959627696,
      -0.598498869044649,
      -0.579331288746142,
      -0.526162138697219,
      -0.433314750769333,
      -0.456729937553846,
      -0.781774991423043,
      -0.371628361940176,
      -0.809280883508648,
      -0.723710513941181,
      -0.655139516667397,
      -0.797016222896755,
      -0.658607613581996,
      -0.646463754849387,
      -0.791747712352111,
      -0.434380281940585,
      -0.748830346560145,
      -0.798546205641563,
      -0.663756944100219,
      -0.694089202545512,
      -0.530866349081642,
      -0.818532455410414,
      -0.722225210626823,
      -0.638977491310885,
      -0.833580791029246,
      -0.651989250595868,
      -0.829603170726886,
      -0.761230562680579,
      -0.612056146387356,
      -0.824742163793215,
      -0.770100737570662,
      -0.686014991185708,
      -0.80666724146302,
      -0.705981883355886,
      -0.799964437492412,
      -0.802092622354034,
      -0.822328794417097,
      -0.789479263376865,
      -0.757107708070342,
      -0.700723417835418,
      -0.867545005846008,
      -0.821324187363828,
      -0.843249440705653,
      -0.830827565001839,
      -0.668888591190465,
      -0.598894287235911,
      -0.311394394666552,
      -0.613681713815338,
      -0.645881038811511,
      -0.63681676475636,
      -0.832987611424519,
      -0.802363681053283,
      -0.819552496224786,
      -0.864036676516871,
      -0.81592095839599,
      -0.807840835120916,
      -0.824425640896003,
      -0.631186319434374,
      -0.748079951863497,
      -0.781037100688781,
      -0.740629578359291,
      -0.827788578963759,
      -0.653459852598801,
      -0.825103104531706,
      -0.79342580688568,
      -0.849757674650685,
      -0.844844925378941,
      -0.809156262427464,
      -0.795569163919234,
      -0.811617554939756,
      -0.783079745891404,
      -0.838363268893708,
      -0.781347816306392,
      -0.801870219240637,
      -0.712575604642083,
      -0.725397240917401,
      -0.842731703417915,
      -0.738471049153804,
      -0.725681797617887,
      -0.862400645522039,
      -0.825093111825364,
      -0.679368114979913,
      -0.858607654856748,
      -0.711153815178505,
      -0.763942509936762,
      -0.734696631319671,
      -0.776822375961601,
      -0.847958673602164,
      -0.687631926171039,
      -0.835077918174144,
      -0.453609649601341,
      -0.823307556460246,
      -0.749060388077342,
      -0.650098431748238,
      -0.544349178146212,
      -0.798758563730783,
      -0.839861860937965,
      -0.818904121304926,
      -0.797460662898709,
      -0.768854840665833,
      -0.782864824228305,
      -0.803916997552166,
      -0.696897205345378,
      -0.867386273536894,
      -0.845423665261415,
      -0.831921426280338,
      -0.840940863951537,
      -0.847028985687542,
      -0.794464420531211,
      -0.814962547990364,
      -0.790393883755224,
      -0.749933572730975,
      -0.771930815412728,
      -0.854555847865422,
      -0.838175918729258,
      -0.710531023679593,
      -0.680455227257794,
      -0.837915532868196,
      -0.820810216960156,
      -0.807772717300723,
      -0.654693036269908,
      -0.821104033917304,
      -0.80807464352218,
      -0.815520256103469,
      -0.848448054623739,
      -0.833499698386158,
      -0.836987362170767,
      -0.809795743315502,
      -0.502506211398404,
      -0.622536925804826,
      -0.672073334714766,
      -0.687129308737399,
      -0.776014902507786,
      -0.652999926517909,
      -0.734529004978734,
      -0.482883152034916,
      -0.772800442453631,
      -0.83716011565946,
      -0.722601218901578,
      -0.581050766686603,
      -0.854484695610842,
      -0.73224543614939,
      -0.781601714756007,
      -0.698140695629832,
      -0.869874300462487,
      -0.64853606426403,
      -0.828569056415101,
      -0.684971668935094,
      -0.796588524601762,
      -0.776269219500075,
      -0.807361603759186,
      -0.806349724526957,
      -0.845142038359647,
      -0.829805640745434,
      -0.717172301877123,
      -0.826699740197348,
      -0.824629314224738,
      -0.748229999412126,
      -0.815548193826959,
      -0.80064122099627,
      -0.686237132709933,
      -0.845649416716203,
      -0.816690396784305,
      -0.797900446613415,
      -0.834359960534731,
      -0.805929560000095,
      -0.848212990594454,
      -0.817852428200832,
      -0.762655177307207,
      -0.822517661798739,
      -0.734437710357968,
      -0.793377883749507,
      -0.883932834975144,
      -0.792387611782823,
      -0.82227972028857,
      -0.755495952550602,
      -0.728500263984603,
      -0.713844207486977,
      -0.724449451032128,
      -0.66479100609417,
      -0.811832895145529,
      -0.778379825569389,
      -0.714375024233278,
      -0.692657263422089,
      -0.670163158268464,
      -0.810956257514836,
      -0.575503559038909,
      -0.796898612405361,
      -0.746076806625733,
      -0.687101527967412,
      -0.810145540355298,
      -0.854240005100055,
      -0.756829063285126,
      -0.567944416757297,
      -0.835657285870629,
      -0.848016432491176,
      -0.805813728315065,
      -0.629613436065482,
      -0.752056682762675,
      -0.825759170173201,
      -0.728141049734643,
      -0.814581935746195,
      -0.886511685660995,
      -0.674005484651453,
      -0.805374990957045,
      -0.643764259237755,
      -0.667214263540962,
      -0.740603942620508,
      -0.670927155602017,
      -0.683178893708849,
      -0.758846752880812,
      -0.782599206583818,
      -0.524864133229476,
      -0.628611444903926,
      -0.691088879386942,
      -0.659644134514157,
      -0.69615973315379,
      -0.463330721747667,
      -0.537408275711932,
      -0.710770848631795,
      -0.533595613540962,
      -0.580604652513953,
      -0.416953708371333,
      -0.739985598137507,
      -0.614641641438157,
      -0.659228050778367,
      -0.592026158909072,
      -0.629058134572752,
      -0.541557655464134,
      -0.291446284598869,
      -0.503986125975834,
      -0.460524550071999,
      -0.240336312188191,
      -0.241315858998854,
      -0.348598129780074,
      -0.354452704703987,
      -0.291745333339442,
      -0.218832138935328,
      -0.128094546150325,
      -0.270409937419869,
      -0.195811088555137,
      -0.21450502242072,
      -0.157724280717308,
      -0.254335832183814,
      -0.0867490566089416,
      -0.219475360548515,
      -0.145187724320819,
      -0.152403007636823,
      -0.0575135630819491,
      -0.130329040851143,
      -0.0362195636487265,
      -0.128024283298927,
      -0.101148546447405,
      -0.0737546864641181,
      -0.0880402084403975,
      -0.100018520465981,
      -0.0657023439590309,
      -0.0578860660618091,
      -0.0628994486877332,
      -0.0472188847406359,
      -0.0524598761044646,
      -0.0244823452828257,
      -0.0312066518833106,
      -0.0261419667161074,
      -0.0205764756202753,
      -0.0109725692637529,
      -0.0110389998337918,
      -0.0110761773772896,
      -0.00814621271365863,
      -0.00447565599883935,
      -0.00298727328945633,
      -0.00120862653522385,
      -0.000452174644241593,
      -0.000133447641121817,
      -0.0000770785627314809,
      -0.0000670847020381009,
      -0.0000447895403156899,
      -0.0000447895403156899,
      -0.0000447895403156899,
      -0.0000447895403156899,
      -0.0000447895403156899,
      -0.0000447895403156899,
      -0.0000447895403156899
    ],
    "waveform_rms_envelope": [
      0.0000316709920298308,
      0.0000447895436082035,
      0.0000447895436082035,
      0.0000447895436082035,
      0.0000687285864842124,
      0.000507355551235378,
      0.0401266999542713,
      0.123225308954716,
      0.157372877001762,
      0.113843977451324,
      0.0970179960131645,
      0.130597814917564,
      0.188759207725525,
      0.256635278463364,
      0.176081925630569,
      0.112292133271694,
      0.0877441540360451,
      0.0552597269415855,
      0.0386085622012615,
      0.0322632677853107,
      0.033959224820137,
      0.11186183989048,
      0.125770926475525,
      0.0889062881469727,
      0.0892082527279854,
      0.0889886394143105,
      0.0836044326424599,
      0.082691065967083,
      0.0705209076404572,
      0.0484415590763092,
      0.0345501936972141,
      0.0240225661545992,
      0.0196372680366039,
      0.0169498641043901,
      0.0512037351727486,
      0.0858221277594566,
      0.114102058112621,
      0.136075332760811,
      0.1406240016222,
      0.122848585247993,
      0.0856334045529366,
      0.225547626614571,
      0.240470096468925,
      0.126873046159744,
      0.0992949828505516,
      0.102437198162079,
      0.119919344782829,
      0.11148377507925,
      0.231899157166481,
      0.232800722122192,
      0.103189632296562,
      0.0967654883861542,
      0.100608557462692,
      0.0824221968650818,
      0.0402703508734703,
      0.0530756153166294,
      0.110977701842785,
      0.121527053415775,
      0.110705651342869,
      0.111321799457073,
      0.0986590981483459,
      0.071178063750267,
      0.0411920920014381,
      0.0348534993827343,
      0.0718387365341187,
      0.073426142334938,
      0.0713440105319023,
      0.124060243368149,
      0.142295375466347,
      0.222972959280014,
      0.246497571468353,
      0.150809362530708,
      0.110346153378487,
      0.0846372172236443,
      0.0613032467663288,
      0.0327001437544823,
      0.0108422227203846,
      0.0640708431601524,
      0.0907255634665489,
      0.101879984140396,
      0.106586746871471,
      0.0901021584868431,
      0.0978737026453018,
      0.0988364294171333,
      0.0999188125133514,
      0.0951215028762817,
      0.0769487917423248,
      0.063766784965992,
      0.0611182115972042,
      0.0481401942670345,
      0.0159282218664885,
      0.0245075765997171,
      0.0610873475670815,
      0.0940179973840714,
      0.107977643609047,
      0.0957688838243484,
      0.080647274851799,
      0.193970263004303,
      0.234719932079315,
      0.128418505191803,
      0.0712290555238724,
      0.0529064387083054,
      0.0410592220723629,
      0.0394415967166424,
      0.168611288070679,
      0.255366802215576,
      0.151395469903946,
      0.0646101459860802,
      0.0440098568797112,
      0.0242043063044548,
      0.0127717973664403,
      0.00816338416188955,
      0.0387793593108654,
      0.0394962690770626,
      0.015154343098402,
      0.00764434970915318,
      0.0170583054423332,
      0.0154470549896359,
      0.00426471373066306,
      0.0125011606141925,
      0.0123185580596328,
      0.00389276957139373,
      0.00536029832437634,
      0.0101876687258482,
      0.00893532671034336,
      0.0825730338692665,
      0.244671553373337,
      0.225955978035927,
      0.116778112947941,
      0.0684358850121498,
      0.0851673185825348,
      0.125098764896393,
      0.140129998326302,
      0.150402054190636,
      0.132271081209183,
      0.101617611944675,
      0.0800410658121109,
      0.104816094040871,
      0.160555139183998,
      0.181066274642944,
      0.16305348277092,
      0.146647781133652,
      0.124132215976715,
      0.096901498734951,
      0.0792871043086052,
      0.0639213770627975,
      0.0509673841297626,
      0.0399504862725735,
      0.0722999274730682,
      0.0969273895025253,
      0.0943274348974228,
      0.0731289237737656,
      0.0457449294626713,
      0.0995016992092133,
      0.237704485654831,
      0.194649383425713,
      0.0957519710063934,
      0.0606949739158154,
      0.0720192790031433,
      0.100006215274334,
      0.129179328680038,
      0.232178807258606,
      0.188630506396294,
      0.0812269300222397,
      0.0863150283694267,
      0.090240441262722,
      0.0911440029740334,
      0.0756511241197586,
      0.0989937782287598,
      0.120018385350704,
      0.105232939124107,
      0.0996429920196533,
      0.0854280814528465,
      0.0639164224267006,
      0.0460188165307045,
      0.0217177905142307,
      0.00640099868178368,
      0.00468869647011161,
      0.0100123649463058,
      0.00999303255230188,
      0.00285752443596721,
      0.0275823567062616,
      0.238494902849197,
      0.248976022005081,
      0.0919646322727203,
      0.0551443696022034,
      0.0939567983150482,
      0.115030623972416,
      0.111895620822906,
      0.11688420176506,
      0.12289447337389,
      0.106796495616436,
      0.0592882931232452,
      0.0762465000152588,
      0.126935750246048,
      0.128823474049568,
      0.125930145382881,
      0.124201461672783,
      0.0989786684513092,
      0.073177196085453,
      0.0654047206044197,
      0.0593516938388348,
      0.04659828171134,
      0.0520066469907761,
      0.091590978205204,
      0.113441839814186,
      0.103916384279728,
      0.0846696570515633,
      0.0620671063661575,
      0.0943774431943893,
      0.264920443296432,
      0.250402927398682,
      0.178398758172989,
      0.131016835570335,
      0.102744244039059,
      0.0690213963389397,
      0.0795858353376389,
      0.121322333812714,
      0.127113208174706,
      0.122972562909126,
      0.128716200590134,
      0.119841195642948,
      0.0784509107470512,
      0.0761115327477455,
      0.239440366625786,
      0.230219602584839,
      0.117671720683575,
      0.107792362570763,
      0.108269661664963,
      0.0980370566248894,
      0.0595771186053753,
      0.0634521842002869,
      0.0736100524663925,
      0.0477623529732227,
      0.0326672345399857,
      0.0701979398727417,
      0.0817370638251305,
      0.0939879044890404,
      0.245694756507874,
      0.213255286216736,
      0.088923379778862,
      0.0720106735825539,
      0.0443950332701206,
      0.025744566693902,
      0.0227659642696381,
      0.0225051175802946,
      0.0741429179906845,
      0.102322056889534,
      0.0844559296965599,
      0.0547737665474415,
      0.0348757728934288,
      0.0267532076686621,
      0.0538805089890957,
      0.0687151104211807,
      0.0427270196378231,
      0.0161136258393526,
      0.0285144038498402,
      0.0267788786441088,
      0.0109756030142307,
      0.0262852646410465,
      0.0685230568051338,
      0.0832886323332787,
      0.110188044607639,
      0.142267614603043,
      0.142376065254211,
      0.092773474752903,
      0.22291025519371,
      0.25164732336998,
      0.135436326265335,
      0.0936070755124092,
      0.0905563533306122,
      0.105377219617367,
      0.108568340539932,
      0.0770330205559731,
      0.0583831705152988,
      0.0760953724384308,
      0.0898636355996132,
      0.10500405728817,
      0.0909489691257477,
      0.0492474511265755,
      0.0415290519595146,
      0.106687895953655,
      0.142608776688576,
      0.121948421001434,
      0.0985241085290909,
      0.0965834483504295,
      0.0765938758850098,
      0.040494080632925,
      0.0402424149215221,
      0.0672456324100494,
      0.0701481848955154,
      0.0794136896729469,
      0.13124281167984,
      0.152427300810814,
      0.237749814987183,
      0.241121828556061,
      0.134687975049019,
      0.0926713943481445,
      0.0684327334165573,
      0.0479501932859421,
      0.0258768014609814,
      0.0354997217655182,
      0.0686011761426926,
      0.0867221653461456,
      0.0931311622262001,
      0.0863363221287727,
      0.0880373790860176,
      0.0800952538847923,
      0.0792366862297058,
      0.0864470899105072,
      0.0797462090849876,
      0.0668805688619614,
      0.0523618496954441,
      0.0490083731710911,
      0.0300688892602921,
      0.0134334694594145,
      0.0381185002624989,
      0.0724577158689499,
      0.0958114936947823,
      0.0955218598246574,
      0.0745411366224289,
      0.0617629699409008,
      0.228533416986465,
      0.244637280702591,
      0.106647022068501,
      0.065942145884037,
      0.047062911093235,
      0.0358433686196804,
      0.0308212842792273,
      0.22431492805481,
      0.242706909775734,
      0.0846792906522751,
      0.0512307398021221,
      0.0332873500883579,
      0.0227055326104164,
      0.0144209368154407,
      0.0281210094690323,
      0.0442525967955589,
      0.0350294969975948,
      0.0148627460002899,
      0.0168319512158632,
      0.0181295853108168,
      0.0144882323220372,
      0.0140330940485001,
      0.0157907474786043,
      0.0138354375958443,
      0.0130259525030851,
      0.0151193607598543,
      0.0153790079057217,
      0.0129588274285197,
      0.219561174511909,
      0.236650109291077,
      0.0824094712734222,
      0.0487682446837425,
      0.0310760959982872,
      0.0220150426030159,
      0.0321776084601879,
      0.0822180509567261,
      0.115577019751072,
      0.148079082369804,
      0.176026433706284,
      0.151345074176788,
      0.134440079331398,
      0.145694330334663,
      0.148111805319786,
      0.147052124142647,
      0.14076666533947,
      0.117997355759144,
      0.11542734503746,
      0.121416203677654,
      0.105661563575268,
      0.0915007293224335,
      0.122921772301197,
      0.129695475101471,
      0.101685732603073,
      0.0988457873463631,
      0.0976914092898369,
      0.0715132281184196,
      0.235577806830406,
      0.246706739068031,
      0.0911325290799141,
      0.0696493461728096,
      0.0708092302083969,
      0.0781536921858788,
      0.0820176303386688,
      0.214849442243576,
      0.235555961728096,
      0.118972018361092,
      0.05989108979702,
      0.0441058948636055,
      0.0375101342797279,
      0.0146845337003469,
      0.0266267731785774,
      0.0580478347837925,
      0.0746326595544815,
      0.076410286128521,
      0.0801849290728569,
      0.0743274614214897,
      0.0500587336719036,
      0.0210404209792614,
      0.0483982972800732,
      0.0721115618944168,
      0.0719519779086113,
      0.0735450088977814,
      0.074288472533226,
      0.0712381228804588,
      0.238662987947464,
      0.245216593146324,
      0.0851632952690125,
      0.0575884208083153,
      0.0441563092172146,
      0.0353813990950584,
      0.0299532171338797,
      0.232982739806175,
      0.244993701577187,
      0.0839477479457855,
      0.0536005198955536,
      0.0666715875267982,
      0.121390223503113,
      0.119899354875088,
      0.0934412553906441,
      0.0879281908273697,
      0.0699261873960495,
      0.0587053820490837,
      0.0717596933245659,
      0.0817449539899826,
      0.0830451399087906,
      0.221151635050774,
      0.235149472951889,
      0.116866454482079,
      0.0931345522403717,
      0.0835245177149773,
      0.0803098008036613,
      0.0653804242610931,
      0.237504675984383,
      0.288828998804092,
      0.187545329332352,
      0.14378459751606,
      0.136636689305305,
      0.0952621474862099,
      0.0670818910002708,
      0.225400924682617,
      0.242642119526863,
      0.10076992213726,
      0.0602856948971748,
      0.061680756509304,
      0.0548164807260036,
      0.0449603982269764,
      0.092537946999073,
      0.091430589556694,
      0.0315318554639816,
      0.0765261426568031,
      0.0874634385108948,
      0.0580495931208134,
      0.0531635731458664,
      0.220900759100914,
      0.223396182060242,
      0.0814303457736969,
      0.112651094794273,
      0.121555373072624,
      0.0805768445134163,
      0.088319756090641,
      0.265114337205887,
      0.253134667873383,
      0.146586179733276,
      0.132936730980873,
      0.206306353211403,
      0.211829543113708,
      0.187778875231743,
      0.262763619422913,
      0.231290623545647,
      0.142751842737198,
      0.220683872699738,
      0.270481735467911,
      0.226434931159019,
      0.236839666962624,
      0.27815181016922,
      0.204959750175476,
      0.130337744951248,
      0.23200760781765,
      0.265709042549133,
      0.196919158101082,
      0.237870454788208,
      0.302736520767212,
      0.269150644540787,
      0.249820396304131,
      0.25635352730751,
      0.241706430912018,
      0.205543786287308,
      0.237965807318687,
      0.289166986942291,
      0.257655054330826,
      0.252486348152161,
      0.28313872218132,
      0.278348028659821,
      0.237158715724945,
      0.277809768915176,
      0.315050929784775,
      0.265047758817673,
      0.263423681259155,
      0.282395005226135,
      0.268789023160934,
      0.243184953927994,
      0.272002816200256,
      0.250993221998215,
      0.223584979772568,
      0.255062937736511,
      0.289696037769318,
      0.251642048358917,
      0.268818706274033,
      0.304316490888596,
      0.282314777374268,
      0.234997227787971,
      0.295124888420105,
      0.285400241613388,
      0.232889801263809,
      0.280240714550018,
      0.290737599134445,
      0.251422554254532,
      0.259486138820648,
      0.30274623632431,
      0.288677364587784,
      0.26910987496376,
      0.291371464729309,
      0.301819533109665,
      0.267091274261475,
      0.274966061115265,
      0.264010459184647,
      0.238470211625099,
      0.245673805475235,
      0.277597576379776,
      0.26797342300415,
      0.243108436465263,
      0.273815125226974,
      0.242672547698021,
      0.143199682235718,
      0.229885205626488,
      0.338248640298843,
      0.309487283229828,
      0.271423757076263,
      0.285363495349884,
      0.259468257427216,
      0.200579017400742,
      0.186002418398857,
      0.266339749097824,
      0.283902555704117,
      0.287408292293549,
      0.30211666226387,
      0.289252758026123,
      0.272025763988495,
      0.297083079814911,
      0.312332451343536,
      0.295743107795715,
      0.29831525683403,
      0.286569684743881,
      0.261951684951782,
      0.206827789545059,
      0.224879130721092,
      0.233614504337311,
      0.238798454403877,
      0.273335725069046,
      0.27647477388382,
      0.257284134626389,
      0.244887173175812,
      0.244117394089699,
      0.233073830604553,
      0.243564933538437,
      0.251514166593552,
      0.239617139101028,
      0.246215745806694,
      0.24197182059288,
      0.234821051359177,
      0.274434417486191,
      0.299983590841293,
      0.291105777025223,
      0.269294917583466,
      0.26913583278656,
      0.24713408946991,
      0.210328057408333,
      0.274922907352448,
      0.306849390268326,
      0.267108231782913,
      0.259921699762344,
      0.230346143245697,
      0.209312602877617,
      0.208845481276512,
      0.218554213643074,
      0.168151751160622,
      0.120322853326797,
      0.0975162759423256,
      0.0756987854838371,
      0.0495636463165283,
      0.063600666821003,
      0.135362073779106,
      0.171195298433304,
      0.176804527640343,
      0.175032615661621,
      0.286018699407578,
      0.326140105724335,
      0.321946799755096,
      0.315962970256805,
      0.216226011514664,
      0.178772777318954,
      0.153426706790924,
      0.134530603885651,
      0.191389828920364,
      0.216021358966827,
      0.299029588699341,
      0.28210523724556,
      0.211608350276947,
      0.18421371281147,
      0.16350744664669,
      0.129403918981552,
      0.185349851846695,
      0.193375647068024,
      0.130081802606583,
      0.142127424478531,
      0.155326157808304,
      0.144181907176971,
      0.0979720130562782,
      0.0550140328705311,
      0.0599805600941181,
      0.0547970272600651,
      0.0443164482712746,
      0.235572949051857,
      0.322302401065826,
      0.282134860754013,
      0.273358792066574,
      0.218455597758293,
      0.152529150247574,
      0.0976057648658752,
      0.186137601733208,
      0.237946048378944,
      0.178066492080688,
      0.259316176176071,
      0.313298344612122,
      0.270910501480103,
      0.209770306944847,
      0.174764037132263,
      0.144842877984047,
      0.163081362843513,
      0.199628993868828,
      0.174781695008278,
      0.194007903337479,
      0.184385567903519,
      0.138857796788216,
      0.109825633466244,
      0.0784789696335793,
      0.0655817538499832,
      0.0597425252199173,
      0.0750860124826431,
      0.124817073345184,
      0.188366562128067,
      0.200526177883148,
      0.232047513127327,
      0.282141536474228,
      0.249292060732841,
      0.198299944400787,
      0.171416506171227,
      0.138476341962814,
      0.0954322069883347,
      0.18060639500618,
      0.270382016897202,
      0.241119340062141,
      0.196438401937485,
      0.17548580467701,
      0.164920046925545,
      0.131727874279022,
      0.204325124621391,
      0.210111707448959,
      0.0996288880705833,
      0.0560140088200569,
      0.0725796818733215,
      0.0777685195207596,
      0.0831401720643044,
      0.0857015326619148,
      0.102434881031513,
      0.105142839252949,
      0.0998483970761299,
      0.123354628682137,
      0.158407151699066,
      0.112752050161362,
      0.225191161036491,
      0.275699228048325,
      0.228703528642654,
      0.193232789635658,
      0.149822250008583,
      0.0950592011213303,
      0.0663750693202019,
      0.222777858376503,
      0.288940161466599,
      0.253955513238907,
      0.1959428191185,
      0.174665197730064,
      0.152847453951836,
      0.128336802124977,
      0.191880524158478,
      0.186334818601608,
      0.0808337777853012,
      0.0769946575164795,
      0.129600003361702,
      0.124788351356983,
      0.0646322444081306,
      0.118744634091854,
      0.243441715836525,
      0.237896606326103,
      0.169308722019196,
      0.111894957721233,
      0.0665335059165955,
      0.0802757367491722,
      0.270167618989944,
      0.32815158367157,
      0.273664534091949,
      0.219220876693726,
      0.176774024963379,
      0.155652716755867,
      0.127373695373535,
      0.135680094361305,
      0.205047473311424,
      0.254861503839493,
      0.261447966098785,
      0.25010871887207,
      0.16752465069294,
      0.10801075398922,
      0.215131878852844,
      0.263253808021545,
      0.241127118468285,
      0.206501245498657,
      0.18342313170433,
      0.170980244874954,
      0.169382676482201,
      0.155057981610298,
      0.153561055660248,
      0.176433861255646,
      0.184560731053352,
      0.188205510377884,
      0.190549865365028,
      0.161543875932693,
      0.261743098497391,
      0.352072864770889,
      0.328312307596207,
      0.284207314252853,
      0.251994371414185,
      0.212085053324699,
      0.169749274849892,
      0.225146770477295,
      0.223630994558334,
      0.111290834844112,
      0.184017702937126,
      0.264537811279297,
      0.233233332633972,
      0.156031116843224,
      0.192673996090889,
      0.300098448991776,
      0.336351752281189,
      0.301529854536057,
      0.225794568657875,
      0.107544921338558,
      0.127494901418686,
      0.258113712072372,
      0.306835323572159,
      0.299188047647476,
      0.281740337610245,
      0.26308485865593,
      0.217347830533981,
      0.16465225815773,
      0.222932353615761,
      0.266334354877472,
      0.278385877609253,
      0.293861210346222,
      0.286506593227386,
      0.257006764411926,
      0.238475531339645,
      0.290122926235199,
      0.303985685110092,
      0.274216264486313,
      0.259239733219147,
      0.254844605922699,
      0.242524713277817,
      0.212408691644669,
      0.251059234142303,
      0.28719761967659,
      0.270104229450226,
      0.252110421657562,
      0.217322736978531,
      0.182759404182434,
      0.174788698554039,
      0.174223363399506,
      0.214495003223419,
      0.226649791002274,
      0.206242695450783,
      0.247818157076836,
      0.23621067404747,
      0.199924811720848,
      0.276515007019043,
      0.280749320983887,
      0.206088408827782,
      0.177884891629219,
      0.229195594787598,
      0.247753590345383,
      0.184196010231972,
      0.25092738866806,
      0.283875942230225,
      0.238051310181618,
      0.225449234247208,
      0.193643674254417,
      0.192294389009476,
      0.185677915811539,
      0.226353958249092,
      0.214104250073433,
      0.144518986344337,
      0.112587429583073,
      0.0934004634618759,
      0.115423694252968,
      0.128275245428085,
      0.124317586421967,
      0.108604766428471,
      0.0712165534496307,
      0.0533266589045525,
      0.268022924661636,
      0.34381952881813,
      0.300853788852692,
      0.318974167108536,
      0.257207751274109,
      0.191414684057236,
      0.166683912277222,
      0.107383191585541,
      0.0774633437395096,
      0.201174452900887,
      0.294359803199768,
      0.285055905580521,
      0.224308177828789,
      0.190932795405388,
      0.157627373933792,
      0.125373557209969,
      0.129624113440514,
      0.186576172709465,
      0.143778994679451,
      0.107270620763302,
      0.120136298239231,
      0.104716837406158,
      0.0607530400156975,
      0.0519360639154911,
      0.0822876766324043,
      0.064580038189888,
      0.0341804586350918,
      0.155064731836319,
      0.307111859321594,
      0.31605851650238,
      0.290813118219376,
      0.276215732097626,
      0.216262772679329,
      0.136106476187706,
      0.154264986515045,
      0.210668817162514,
      0.188887685537338,
      0.198610797524452,
      0.295426875352859,
      0.272450268268585,
      0.215975403785706,
      0.169638320803642,
      0.12909109890461,
      0.108906269073486,
      0.199610084295273,
      0.225489512085915,
      0.11992147564888,
      0.0823226347565651,
      0.2275410592556,
      0.199922472238541,
      0.0816305801272392,
      0.0946715399622917,
      0.279657632112503,
      0.323672920465469,
      0.271731585264206,
      0.264815479516983,
      0.258624374866486,
      0.254257142543793,
      0.283194124698639,
      0.304049789905548,
      0.275276154279709,
      0.245128616690636,
      0.222025737166405,
      0.202935382723808,
      0.184786185622215,
      0.153817161917686,
      0.14284360408783,
      0.151598572731018,
      0.145831167697906,
      0.243834391236305,
      0.255026012659073,
      0.18518927693367,
      0.213229402899742,
      0.265476137399673,
      0.271113246679306,
      0.209528550505638,
      0.173576086759567,
      0.13618266582489,
      0.117318026721478,
      0.099457822740078,
      0.180655062198639,
      0.210071429610252,
      0.141362175345421,
      0.135102823376656,
      0.155756264925003,
      0.136468723416328,
      0.159507378935814,
      0.274210810661316,
      0.275398939847946,
      0.231058195233345,
      0.174016326665878,
      0.139953121542931,
      0.142067089676857,
      0.125064745545387,
      0.156327202916145,
      0.17563733458519,
      0.141244485974312,
      0.22229391336441,
      0.240512564778328,
      0.166492253541946,
      0.205307304859161,
      0.275012165307999,
      0.273775666952133,
      0.219312161207199,
      0.186239629983902,
      0.175322696566582,
      0.162098810076714,
      0.1549341827631,
      0.159773990511894,
      0.170747041702271,
      0.159007266163826,
      0.141502648591995,
      0.167583361268044,
      0.181150406599045,
      0.246057227253914,
      0.306002736091614,
      0.272201627492905,
      0.242315739393234,
      0.219745263457298,
      0.225294530391693,
      0.226472228765488,
      0.209594488143921,
      0.227863535284996,
      0.222285211086273,
      0.195830643177032,
      0.28192463517189,
      0.292550653219223,
      0.234584510326385,
      0.27744996547699,
      0.314708530902863,
      0.321879118680954,
      0.312429517507553,
      0.302795946598053,
      0.286444485187531,
      0.296491175889969,
      0.308834940195084,
      0.298516601324081,
      0.287877261638641,
      0.300870358943939,
      0.309891074895859,
      0.277054131031036,
      0.248466059565544,
      0.271413862705231,
      0.296182453632355,
      0.285481631755829,
      0.255759090185165,
      0.238630339503288,
      0.221796661615372,
      0.169782593846321,
      0.191760048270226,
      0.281772255897522,
      0.321735024452209,
      0.327650249004364,
      0.321379512548447,
      0.306526839733124,
      0.303610473871231,
      0.326251417398453,
      0.351082414388657,
      0.341203302145004,
      0.326886206865311,
      0.304411768913269,
      0.248974323272705,
      0.191050723195076,
      0.244133248925209,
      0.271613299846649,
      0.24686162173748,
      0.239978849887848,
      0.238031685352325,
      0.239059016108513,
      0.215823024511337,
      0.259959906339645,
      0.315591365098953,
      0.293085306882858,
      0.281501859426498,
      0.26746678352356,
      0.261750519275665,
      0.248682364821434,
      0.244850262999535,
      0.289645791053772,
      0.287739902734756,
      0.245388478040695,
      0.241600558161736,
      0.242283836007118,
      0.226548582315445,
      0.197963088750839,
      0.239842906594276,
      0.225252643227577,
      0.153330892324448,
      0.21285916864872,
      0.254619628190994,
      0.180993437767029,
      0.119347684085369,
      0.191626235842705,
      0.266207098960876,
      0.236583843827248,
      0.196967110037804,
      0.231656059622765,
      0.213498488068581,
      0.172476425766945,
      0.276713192462921,
      0.299740582704544,
      0.249334633350372,
      0.191609397530556,
      0.155495569109917,
      0.167562395334244,
      0.165212541818619,
      0.134319424629211,
      0.120427198708057,
      0.129162937402725,
      0.159944608807564,
      0.242014214396477,
      0.191402226686478,
      0.104852400720119,
      0.180789813399315,
      0.214431598782539,
      0.19406670331955,
      0.181395217776299,
      0.247061058878899,
      0.223952814936638,
      0.106198310852051,
      0.0997098460793495,
      0.227318897843361,
      0.237322717905045,
      0.175466269254684,
      0.218922331929207,
      0.265430867671967,
      0.226208508014679,
      0.249304577708244,
      0.296045809984207,
      0.291881918907166,
      0.257289230823517,
      0.216253206133842,
      0.172920912504196,
      0.141733109951019,
      0.248292222619057,
      0.263771444559097,
      0.16923014819622,
      0.160057783126831,
      0.215282812714577,
      0.289884805679321,
      0.2724269926548,
      0.264787048101425,
      0.236178293824196,
      0.197884097695351,
      0.24606753885746,
      0.320744007825851,
      0.306249588727951,
      0.238127142190933,
      0.237602844834328,
      0.282657384872437,
      0.268470108509064,
      0.214436173439026,
      0.213833510875702,
      0.261929661035538,
      0.223710626363754,
      0.280642449855804,
      0.271465480327606,
      0.201284825801849,
      0.174242943525314,
      0.131958991289139,
      0.114123806357384,
      0.0982739999890327,
      0.141905277967453,
      0.237173318862915,
      0.199398174881935,
      0.138864561915398,
      0.230959206819534,
      0.204994365572929,
      0.0930556803941727,
      0.182201415300369,
      0.192804008722305,
      0.105869367718697,
      0.104918047785759,
      0.264751821756363,
      0.292754083871841,
      0.221295535564423,
      0.245860144495964,
      0.265757232904434,
      0.200988918542862,
      0.124375261366367,
      0.189367339015007,
      0.185598731040955,
      0.0715005248785019,
      0.268461018800735,
      0.324423491954803,
      0.227164000272751,
      0.199083790183067,
      0.216872617602348,
      0.238455355167389,
      0.235431164503098,
      0.235939055681229,
      0.237150371074677,
      0.223328873515129,
      0.214829534292221,
      0.27107372879982,
      0.274319440126419,
      0.259431064128876,
      0.262802183628082,
      0.266642183065414,
      0.258040457963943,
      0.218997046351433,
      0.219005048274994,
      0.233947187662125,
      0.228675782680511,
      0.219289109110832,
      0.235011905431747,
      0.216158255934715,
      0.177801117300987,
      0.212642267346382,
      0.246868044137955,
      0.222663015127182,
      0.281726121902466,
      0.271375507116318,
      0.183542788028717,
      0.160815089941025,
      0.157449409365654,
      0.157624527812004,
      0.157939061522484,
      0.152268171310425,
      0.159056559205055,
      0.160432726144791,
      0.164419561624527,
      0.237560272216797,
      0.207881778478622,
      0.148701593279839,
      0.217517390847206,
      0.250657349824905,
      0.208616599440575,
      0.176686361432076,
      0.189611688256264,
      0.201860919594765,
      0.191501289606094,
      0.162462309002876,
      0.130601659417152,
      0.126769468188286,
      0.127697467803955,
      0.116362482309341,
      0.104874789714813,
      0.0956987962126732,
      0.257245510816574,
      0.30217045545578,
      0.187309876084328,
      0.141636550426483,
      0.146525219082832,
      0.163909450173378,
      0.168157428503036,
      0.162366837263107,
      0.167939215898514,
      0.176443800330162,
      0.23617048561573,
      0.259202748537064,
      0.249288946390152,
      0.2581567466259,
      0.263174295425415,
      0.254981160163879,
      0.237995028495789,
      0.199047759175301,
      0.174664825201035,
      0.178229078650475,
      0.16510871052742,
      0.199951708316803,
      0.284581065177917,
      0.286621868610382,
      0.248798102140427,
      0.263032764196396,
      0.298384815454483,
      0.307267785072327,
      0.323371201753616,
      0.294643074274063,
      0.212566524744034,
      0.145704537630081,
      0.152710601687431,
      0.194231629371643,
      0.20626962184906,
      0.232548072934151,
      0.227688372135162,
      0.192229509353638,
      0.243180647492409,
      0.251522392034531,
      0.169082134962082,
      0.150878295302391,
      0.275464802980423,
      0.308209538459778,
      0.276310205459595,
      0.266527056694031,
      0.229728773236275,
      0.170677304267883,
      0.152733847498894,
      0.244678050279617,
      0.264186650514603,
      0.183596670627594,
      0.138284161686897,
      0.17906779050827,
      0.179885387420654,
      0.186286374926567,
      0.311609089374542,
      0.314951330423355,
      0.276408076286316,
      0.266578853130341,
      0.255814582109451,
      0.237072363495827,
      0.223203182220459,
      0.219975262880325,
      0.232093900442123,
      0.24368292093277,
      0.244859352707863,
      0.263239562511444,
      0.228502035140991,
      0.206067457795143,
      0.218583583831787,
      0.160043567419052,
      0.11763396859169,
      0.120730467140675,
      0.169808968901634,
      0.146552518010139,
      0.0843005403876305,
      0.117975860834122,
      0.247880101203918,
      0.236267477273941,
      0.159447148442268,
      0.203973591327667,
      0.227920189499855,
      0.168456345796585,
      0.250505596399307,
      0.280246078968048,
      0.230154752731323,
      0.191511332988739,
      0.143736004829407,
      0.147317498922348,
      0.147256642580032,
      0.243323594331741,
      0.24459582567215,
      0.147507965564728,
      0.134843766689301,
      0.140190467238426,
      0.13488794863224,
      0.0947843044996262,
      0.146644026041031,
      0.199763223528862,
      0.18943278491497,
      0.19740092754364,
      0.30470609664917,
      0.273128688335419,
      0.138010740280151,
      0.110542722046375,
      0.227209091186523,
      0.249381080269814,
      0.172589436173439,
      0.209208592772484,
      0.262447118759155,
      0.244533866643906,
      0.29205858707428,
      0.309931397438049,
      0.289407163858414,
      0.27211007475853,
      0.217233076691628,
      0.182375684380531,
      0.16168050467968,
      0.1324393004179,
      0.113509804010391,
      0.14994503557682,
      0.178979307413101,
      0.286485970020294,
      0.314374208450317,
      0.232189282774925,
      0.202261194586754,
      0.199629783630371,
      0.168521001935005,
      0.173276707530022,
      0.220785990357399,
      0.292265146970749,
      0.268193036317825,
      0.179974675178528,
      0.141873851418495,
      0.144244402647018,
      0.134438827633858,
      0.161800652742386,
      0.160818845033646,
      0.132571190595627,
      0.23519666492939,
      0.253322511911392,
      0.151603579521179,
      0.124099396169186,
      0.238977238535881,
      0.298571527004242,
      0.247544959187508,
      0.262504249811172,
      0.255128592252731,
      0.215045541524887,
      0.173071831464767,
      0.126614764332771,
      0.107286386191845,
      0.0792073383927345,
      0.148705497384071,
      0.16296973824501,
      0.105654701590538,
      0.0946223363280296,
      0.229059427976608,
      0.322619795799255,
      0.267978131771088,
      0.216473266482353,
      0.211459696292877,
      0.250082522630692,
      0.249336585402489,
      0.249006122350693,
      0.289871573448181,
      0.303549289703369,
      0.306925803422928,
      0.316734671592712,
      0.278367549180984,
      0.249095469713211,
      0.23837511241436,
      0.229312524199486,
      0.213297456502914,
      0.199762538075447,
      0.208163604140282,
      0.211476117372513,
      0.186096742749214,
      0.27531310915947,
      0.300058633089066,
      0.240972951054573,
      0.231851235032082,
      0.235463082790375,
      0.259443461894989,
      0.269094169139862,
      0.2457634806633,
      0.24395190179348,
      0.2428357899189,
      0.222443372011185,
      0.223430037498474,
      0.252014726400375,
      0.259004950523376,
      0.228952437639236,
      0.274771004915237,
      0.325517445802689,
      0.283621579408646,
      0.282270461320877,
      0.253094285726547,
      0.221932485699654,
      0.240490958094597,
      0.233520746231079,
      0.213051527738571,
      0.19037438929081,
      0.295454025268555,
      0.301940381526947,
      0.198065161705017,
      0.175196498632431,
      0.180969178676605,
      0.163300514221191,
      0.120209194719791,
      0.207735955715179,
      0.258013606071472,
      0.21037133038044,
      0.238543972373009,
      0.261758595705032,
      0.184159353375435,
      0.148875042796135,
      0.138191074132919,
      0.243068590760231,
      0.292699128389359,
      0.258094221353531,
      0.244278103113174,
      0.214500769972801,
      0.166446417570114,
      0.262992978096008,
      0.303917706012726,
      0.229945823550224,
      0.186632409691811,
      0.155734091997147,
      0.132931500673294,
      0.136295780539513,
      0.210975989699364,
      0.260226100683212,
      0.199074402451515,
      0.130319938063622,
      0.255493700504303,
      0.254195243120193,
      0.203234672546387,
      0.255949527025223,
      0.282146245241165,
      0.252585202455521,
      0.219735249876976,
      0.197069525718689,
      0.187962219119072,
      0.175966054201126,
      0.239866465330124,
      0.292302429676056,
      0.278913736343384,
      0.253249913454056,
      0.236257612705231,
      0.153213128447533,
      0.126292765140533,
      0.237308233976364,
      0.311954915523529,
      0.316572099924088,
      0.299030810594559,
      0.283615857362747,
      0.269906252622604,
      0.275772482156754,
      0.343326717615128,
      0.320294916629791,
      0.224017068743706,
      0.257894396781921,
      0.258745282888412,
      0.178720563650131,
      0.163672164082527,
      0.244254931807518,
      0.294731557369232,
      0.259879380464554,
      0.263257622718811,
      0.338931322097778,
      0.349486321210861,
      0.289156287908554,
      0.28482261300087,
      0.289911866188049,
      0.237388238310814,
      0.236352235078812,
      0.245935246348381,
      0.157800316810608,
      0.113906554877758,
      0.251695781946182,
      0.30018937587738,
      0.246200144290924,
      0.234610185027122,
      0.206647887825966,
      0.174832537770271,
      0.154073268175125,
      0.239219665527344,
      0.287866711616516,
      0.261731952428818,
      0.235636278986931,
      0.212198957800865,
      0.220212355256081,
      0.214175134897232,
      0.248785808682442,
      0.243695572018623,
      0.163782671093941,
      0.130395218729973,
      0.114576876163483,
      0.0848432928323746,
      0.0557876043021679,
      0.0523827895522118,
      0.0705135017633438,
      0.0833559408783913,
      0.0826920196413994,
      0.101667165756226,
      0.20386104285717,
      0.235981345176697,
      0.266241520643234,
      0.279976934194565,
      0.223674967885017,
      0.193572238087654,
      0.21979558467865,
      0.25528872013092,
      0.225623950362206,
      0.287626326084137,
      0.277037352323532,
      0.214495435357094,
      0.202411621809006,
      0.190457791090012,
      0.210375413298607,
      0.23314480483532,
      0.249993741512299,
      0.23707340657711,
      0.170875638723373,
      0.154362440109253,
      0.167427554726601,
      0.166697263717651,
      0.154658228158951,
      0.142226800322533,
      0.136789321899414,
      0.134413823485374,
      0.115943610668182,
      0.108507081866264,
      0.284101128578186,
      0.337921470403671,
      0.306523710489273,
      0.320660203695297,
      0.248105600476265,
      0.201903238892555,
      0.171857714653015,
      0.132119387388229,
      0.0952237024903297,
      0.219888776540756,
      0.291601955890656,
      0.264417290687561,
      0.22690986096859,
      0.195831775665283,
      0.17627340555191,
      0.144398525357246,
      0.211529642343521,
      0.226225659251213,
      0.129145160317421,
      0.101330734789371,
      0.101166844367981,
      0.0731845945119858,
      0.0835340768098831,
      0.0982822701334953,
      0.121369682252407,
      0.115721233189106,
      0.0806639119982719,
      0.0939033254981041,
      0.179031252861023,
      0.193319797515869,
      0.245800986886024,
      0.289496779441833,
      0.268295377492905,
      0.242133781313896,
      0.199935153126717,
      0.174617722630501,
      0.140294700860977,
      0.228766888380051,
      0.260077357292175,
      0.249482735991478,
      0.241946771740913,
      0.194012701511383,
      0.17178376019001,
      0.133102491497993,
      0.175996631383896,
      0.211713641881943,
      0.20888876914978,
      0.186752542853355,
      0.154321819543839,
      0.0988679602742195,
      0.0685602277517319,
      0.111025303602219,
      0.224658206105232,
      0.264197319746017,
      0.228463113307953,
      0.224753335118294,
      0.218465656042099,
      0.222832456231117,
      0.263561755418777,
      0.27184396982193,
      0.217889130115509,
      0.174201473593712,
      0.130945831537247,
      0.062267892062664,
      0.129009231925011,
      0.260768711566925,
      0.302486002445221,
      0.24011817574501,
      0.189510747790337,
      0.176805481314659,
      0.15806719660759,
      0.138365373015404,
      0.183459520339966,
      0.165559932589531,
      0.1008081138134,
      0.07929877191782,
      0.0620062910020351,
      0.0469617620110512,
      0.0348333939909935,
      0.071026399731636,
      0.081061452627182,
      0.0358175598084927,
      0.034540094435215,
      0.18999208509922,
      0.270715892314911,
      0.254355013370514,
      0.256752729415894,
      0.1556735932827,
      0.0791255533695221,
      0.0825615078210831,
      0.178613752126694,
      0.172756239771843,
      0.20949013531208,
      0.238778755068779,
      0.232534870505333,
      0.260912865400314,
      0.202902644872665,
      0.163452699780464,
      0.135153949260712,
      0.169968843460083,
      0.180962041020393,
      0.136084914207458,
      0.126023918390274,
      0.117139279842377,
      0.150778487324715,
      0.134117290377617,
      0.0829993635416031,
      0.197484523057938,
      0.271701991558075,
      0.219230964779854,
      0.145622923970222,
      0.0892229005694389,
      0.0726291909813881,
      0.198723137378693,
      0.301586449146271,
      0.268523275852203,
      0.221873834729195,
      0.173002138733864,
      0.148693963885307,
      0.154935598373413,
      0.149509698152542,
      0.155814692378044,
      0.162668511271477,
      0.154782369732857,
      0.238848701119423,
      0.244131430983543,
      0.142767161130905,
      0.19882695376873,
      0.260292679071426,
      0.257652461528778,
      0.213546618819237,
      0.187822699546814,
      0.170231193304062,
      0.162932708859444,
      0.159400075674057,
      0.157637685537338,
      0.142431870102882,
      0.122234120965004,
      0.118363030254841,
      0.138967424631119,
      0.149876371026039,
      0.243119642138481,
      0.323033332824707,
      0.332623690366745,
      0.30831778049469,
      0.273766875267029,
      0.231172412633896,
      0.202535524964333,
      0.21352744102478,
      0.231488853693008,
      0.1430733948946,
      0.0871021002531052,
      0.246163189411163,
      0.268613338470459,
      0.127514317631721,
      0.136963203549385,
      0.199610948562622,
      0.279360443353653,
      0.307183176279068,
      0.260970562696457,
      0.177925035357475,
      0.115744575858116,
      0.20906463265419,
      0.285978645086288,
      0.262377023696899,
      0.2470922768116,
      0.251054853200912,
      0.208106562495232,
      0.175832703709602,
      0.231130912899971,
      0.291800379753113,
      0.264140397310257,
      0.245280906558037,
      0.212223902344704,
      0.141199052333832,
      0.0584737062454224,
      0.187084928154945,
      0.319514006376266,
      0.277673959732056,
      0.22651481628418,
      0.204156532883644,
      0.208647444844246,
      0.21300832927227,
      0.228026509284973,
      0.208224847912788,
      0.133679553866386,
      0.11250501871109,
      0.219193160533905,
      0.24954828619957,
      0.139995768666267,
      0.101388141512871,
      0.107663579285145,
      0.0917872115969658,
      0.0637308806180954,
      0.0796813890337944,
      0.273303002119064,
      0.323700666427612,
      0.246421486139297,
      0.30511611700058,
      0.308201909065247,
      0.250569939613342,
      0.231324166059494,
      0.200324580073357,
      0.141655489802361,
      0.128103747963905,
      0.261384338140488,
      0.277580052614212,
      0.244312524795532,
      0.213323816657066,
      0.198298782110214,
      0.215456128120422,
      0.209792122244835,
      0.218910917639732,
      0.151033088564873,
      0.0806124731898308,
      0.0689661055803299,
      0.0872269421815872,
      0.089957095682621,
      0.0853895246982574,
      0.170997157692909,
      0.184007570147514,
      0.104211211204529,
      0.177382156252861,
      0.250794947147369,
      0.229804635047913,
      0.262470424175262,
      0.305153220891953,
      0.238632708787918,
      0.17816273868084,
      0.14716899394989,
      0.118192508816719,
      0.0928936824202538,
      0.203624740242958,
      0.278855741024017,
      0.235649898648262,
      0.197809964418411,
      0.173492267727852,
      0.143705174326897,
      0.12005527317524,
      0.169569313526154,
      0.183528825640678,
      0.118715770542622,
      0.0884607955813408,
      0.0736931934952736,
      0.053477831184864,
      0.0598481334745884,
      0.062657542526722,
      0.0768678188323975,
      0.0807981863617897,
      0.0503326207399368,
      0.170408427715302,
      0.320445030927658,
      0.32331982254982,
      0.340929061174393,
      0.3152996301651,
      0.151257932186127,
      0.0927516594529152,
      0.188428834080696,
      0.25388565659523,
      0.203750357031822,
      0.191722065210342,
      0.274290919303894,
      0.274804949760437,
      0.222825795412064,
      0.167290315032005,
      0.135870695114136,
      0.10556211322546,
      0.147019892930984,
      0.262395620346069,
      0.291294306516647,
      0.227185219526291,
      0.182154908776283,
      0.163302078843117,
      0.142693340778351,
      0.129153162240982,
      0.234209358692169,
      0.319113224744797,
      0.307174921035767,
      0.276957750320435,
      0.273133456707001,
      0.259858131408691,
      0.256096810102463,
      0.292340815067291,
      0.27602544426918,
      0.225295633077621,
      0.196082279086113,
      0.14743372797966,
      0.136554509401321,
      0.150851652026176,
      0.168184086680412,
      0.171322226524353,
      0.167649120092392,
      0.249268174171448,
      0.237337186932564,
      0.160140872001648,
      0.210007086396217,
      0.273817092180252,
      0.277319639921188,
      0.232524126768112,
      0.187617897987366,
      0.155710116028786,
      0.130968406796455,
      0.130095884203911,
      0.149956911802292,
      0.154028028249741,
      0.151561394333839,
      0.150896072387695,
      0.155563786625862,
      0.146488636732101,
      0.209142595529556,
      0.318925857543945,
      0.278620153665543,
      0.198729544878006,
      0.162233114242554,
      0.147219493985176,
      0.14515209197998,
      0.157773211598396,
      0.162828117609024,
      0.161982670426369,
      0.173552989959717,
      0.227548614144325,
      0.230666860938072,
      0.173974126577377,
      0.206820115447044,
      0.247985154390335,
      0.233749523758888,
      0.193955436348915,
      0.176039353013039,
      0.16390435397625,
      0.166450530290604,
      0.165591329336166,
      0.160647302865982,
      0.159435898065567,
      0.142978712916374,
      0.144264742732048,
      0.158500924706459,
      0.138171836733818,
      0.187810897827148,
      0.275209039449692,
      0.279255867004395,
      0.248749241232872,
      0.229043647646904,
      0.225864380598068,
      0.233135744929314,
      0.213514640927315,
      0.213548064231873,
      0.215481817722321,
      0.202230498194695,
      0.275104016065598,
      0.276688903570175,
      0.163697853684425,
      0.18780605494976,
      0.25755774974823,
      0.261634200811386,
      0.224718868732452,
      0.211732625961304,
      0.211267590522766,
      0.204937472939491,
      0.197842419147491,
      0.199400395154953,
      0.184464737772942,
      0.167824223637581,
      0.25018036365509,
      0.28237971663475,
      0.196788564324379,
      0.193366318941116,
      0.265359163284302,
      0.245577931404114,
      0.214267045259476,
      0.207832425832748,
      0.20284628868103,
      0.188930958509445,
      0.201518207788467,
      0.281276166439056,
      0.293317407369614,
      0.264743030071259,
      0.272382527589798,
      0.29750719666481,
      0.241513982415199,
      0.207216694951057,
      0.292794674634933,
      0.316788733005524,
      0.237303584814072,
      0.289559423923492,
      0.289394170045853,
      0.195029363036156,
      0.233611688017845,
      0.296981781721115,
      0.29233992099762,
      0.279616206884384,
      0.303709268569946,
      0.249562755227089,
      0.192065015435219,
      0.29532778263092,
      0.354103028774261,
      0.286866247653961,
      0.263945430517197,
      0.252969235181808,
      0.24570569396019,
      0.241056010127068,
      0.291248977184296,
      0.300127357244492,
      0.212004601955414,
      0.210297644138336,
      0.192416161298752,
      0.182937264442444,
      0.180636018514633,
      0.219048842787743,
      0.232750833034515,
      0.187615513801575,
      0.153162568807602,
      0.228396475315094,
      0.252761155366898,
      0.179812490940094,
      0.141776740550995,
      0.196247592568398,
      0.269531786441803,
      0.244988784193993,
      0.199279144406319,
      0.21696999669075,
      0.179419800639153,
      0.176267132163048,
      0.263218522071838,
      0.254886656999588,
      0.237466245889664,
      0.183078095316887,
      0.1534443795681,
      0.131097689270973,
      0.147621631622314,
      0.159048676490784,
      0.150673866271973,
      0.139777019619942,
      0.246805921196938,
      0.243723526597023,
      0.145834654569626,
      0.182187810540199,
      0.191377475857735,
      0.134424671530724,
      0.113653257489204,
      0.194637164473534,
      0.250538319349289,
      0.171628698706627,
      0.0994382128119469,
      0.227208241820335,
      0.255994409322739,
      0.152763471007347,
      0.131166115403175,
      0.241892740130424,
      0.269572764635086,
      0.25720751285553,
      0.272185504436493,
      0.249796360731125,
      0.253519684076309,
      0.230286732316017,
      0.183832436800003,
      0.145152479410172,
      0.120162650942802,
      0.120938330888748,
      0.127853021025658,
      0.11820775270462,
      0.230015709996223,
      0.234178528189659,
      0.133008167147636,
      0.249012544751167,
      0.299689739942551,
      0.244130879640579,
      0.176990315318108,
      0.249776303768158,
      0.287436485290527,
      0.206484854221344,
      0.170888811349869,
      0.274532467126846,
      0.280358105897903,
      0.18673799932003,
      0.12440562993288,
      0.122939921915531,
      0.102603182196617,
      0.245927065610886,
      0.235761195421219,
      0.114858396351337,
      0.0914435163140297,
      0.259838730096817,
      0.312665402889252,
      0.245252400636673,
      0.172733187675476,
      0.196983054280281,
      0.223495125770569,
      0.180430293083191,
      0.244227811694145,
      0.165156468749046,
      0.098024383187294,
      0.172266110777855,
      0.173095554113388,
      0.120329476892948,
      0.110741928219795,
      0.25742444396019,
      0.298486262559891,
      0.284474909305573,
      0.290006250143051,
      0.245714262127876,
      0.227030873298645,
      0.155686005949974,
      0.174534410238266,
      0.205701738595963,
      0.163071364164352,
      0.234792232513428,
      0.272662043571472,
      0.258334845304489,
      0.245308965444565,
      0.215622141957283,
      0.221094459295273,
      0.217434123158455,
      0.20742079615593,
      0.20312887430191,
      0.195824056863785,
      0.231706395745277,
      0.239749401807785,
      0.184645012021065,
      0.1944430321455,
      0.194656684994698,
      0.245586737990379,
      0.271287709474564,
      0.247825980186462,
      0.238157659769058,
      0.222075760364532,
      0.227603018283844,
      0.218739554286003,
      0.215354219079018,
      0.2139902561903,
      0.200976192951202,
      0.232534795999527,
      0.238619238138199,
      0.291492879390717,
      0.286160320043564,
      0.217568710446358,
      0.24830025434494,
      0.209038436412811,
      0.168833866715431,
      0.168560445308685,
      0.181480824947357,
      0.17014867067337,
      0.16192464530468,
      0.160999044775963,
      0.244130253791809,
      0.244714453816414,
      0.163258627057076,
      0.208483204245567,
      0.253799438476562,
      0.247131332755089,
      0.214976206421852,
      0.174324497580528,
      0.161149904131889,
      0.165942326188087,
      0.212510541081429,
      0.267314523458481,
      0.217361479997635,
      0.159449771046638,
      0.196304455399513,
      0.267314165830612,
      0.267823398113251,
      0.263409703969955,
      0.274467259645462,
      0.253828078508377,
      0.204667329788208,
      0.177904054522514,
      0.153108015656471,
      0.137228265404701,
      0.132163733243942,
      0.157631635665894,
      0.186070457100868,
      0.189146518707275,
      0.234565928578377,
      0.225517377257347,
      0.149195343255997,
      0.185341224074364,
      0.234194070100784,
      0.226444080471992,
      0.197169497609138,
      0.173206463456154,
      0.165194913744926,
      0.171548157930374,
      0.228125587105751,
      0.253899812698364,
      0.237467393279076,
      0.244914174079895,
      0.235593885183334,
      0.223999619483948,
      0.223042592406273,
      0.222668349742889,
      0.2364442050457,
      0.228281065821648,
      0.203503891825676,
      0.191173389554024,
      0.174401253461838,
      0.15277162194252,
      0.181797415018082,
      0.250311613082886,
      0.202269792556763,
      0.155241772532463,
      0.210711553692818,
      0.210826873779297,
      0.153407707810402,
      0.153261005878448,
      0.214041456580162,
      0.278522878885269,
      0.269412070512772,
      0.271806001663208,
      0.250921428203583,
      0.187405839562416,
      0.20814622938633,
      0.197193220257759,
      0.129691392183304,
      0.128045335412025,
      0.136956542730331,
      0.115783900022507,
      0.081397071480751,
      0.264538824558258,
      0.332544386386871,
      0.292471915483475,
      0.276042550802231,
      0.26395571231842,
      0.249246284365654,
      0.229775294661522,
      0.273429155349731,
      0.290962219238281,
      0.214529916644096,
      0.199769005179405,
      0.191097944974899,
      0.184970304369926,
      0.164329826831818,
      0.184129863977432,
      0.195932433009148,
      0.150633081793785,
      0.121990613639355,
      0.228707283735275,
      0.239814296364784,
      0.119462102651596,
      0.107226260006428,
      0.239580139517784,
      0.283066213130951,
      0.214896962046623,
      0.204305902123451,
      0.231339976191521,
      0.222309246659279,
      0.263884603977203,
      0.292003571987152,
      0.244833782315254,
      0.201822325587273,
      0.170738220214844,
      0.142370492219925,
      0.141525506973267,
      0.133224755525589,
      0.119509726762772,
      0.109402850270271,
      0.104601688683033,
      0.242422759532928,
      0.23110856115818,
      0.142185747623444,
      0.19470526278019,
      0.208541959524155,
      0.167155787348747,
      0.155350431799889,
      0.22786982357502,
      0.286163359880447,
      0.213441237807274,
      0.147337079048157,
      0.229601189494133,
      0.227836295962334,
      0.128379940986633,
      0.16107052564621,
      0.242505520582199,
      0.236207649111748,
      0.278276115655899,
      0.26685893535614,
      0.241812825202942,
      0.276048868894577,
      0.240112841129303,
      0.198160037398338,
      0.165578261017799,
      0.139590814709663,
      0.122145436704159,
      0.10333738476038,
      0.0912273079156876,
      0.206624731421471,
      0.302678465843201,
      0.254779696464539,
      0.225064352154732,
      0.263760685920715,
      0.254717767238617,
      0.191802754998207,
      0.210237815976143,
      0.299290269613266,
      0.2800312936306,
      0.205109044909477,
      0.232377156615257,
      0.206957131624222,
      0.13128973543644,
      0.21088233590126,
      0.291585445404053,
      0.256214022636414,
      0.276752084493637,
      0.275362908840179,
      0.205513641238213,
      0.162559017539024,
      0.1129055544734,
      0.071368619799614,
      0.06195018440485,
      0.0813011229038239,
      0.215616106987,
      0.23660646378994,
      0.155114889144897,
      0.245010018348694,
      0.206111490726471,
      0.101964086294174,
      0.165840715169907,
      0.178764536976814,
      0.11435554921627,
      0.0928181260824203,
      0.131092354655266,
      0.27763757109642,
      0.27148762345314,
      0.274470567703247,
      0.285851448774338,
      0.222059696912766,
      0.180090814828873,
      0.172514632344246,
      0.21759919822216,
      0.184047177433968,
      0.240326449275017,
      0.293893456459045,
      0.252556085586548,
      0.234817832708359,
      0.223134905099869,
      0.217598766088486,
      0.209422662854195,
      0.205303519964218,
      0.196625903248787,
      0.193456888198853,
      0.183963268995285,
      0.251845598220825,
      0.258951336145401,
      0.202971786260605,
      0.2187579870224,
      0.243851631879807,
      0.25192192196846,
      0.231863498687744,
      0.219627499580383,
      0.223851904273033,
      0.213260665535927,
      0.205555960536003,
      0.200558722019196,
      0.194999843835831,
      0.190796062350273,
      0.205184206366539,
      0.229719489812851,
      0.201185896992683,
      0.246379002928734,
      0.247346967458725,
      0.218856051564217,
      0.20750692486763,
      0.168338149785995,
      0.21934387087822,
      0.266239762306213,
      0.272477596998215,
      0.261344105005264,
      0.189886406064034,
      0.218703985214233,
      0.200606778264046,
      0.156680047512054,
      0.145479544997215,
      0.169641777873039,
      0.242234334349632,
      0.288822799921036,
      0.275693565607071,
      0.26213401556015,
      0.220907807350159,
      0.174088373780251,
      0.160857394337654,
      0.239923387765884,
      0.253749281167984,
      0.17644964158535,
      0.231461763381958,
      0.243225574493408,
      0.177230805158615,
      0.242771059274673,
      0.313247919082642,
      0.282794058322906,
      0.241509914398193,
      0.223484247922897,
      0.214197650551796,
      0.193166956305504,
      0.178936451673508,
      0.25266894698143,
      0.251242488622665,
      0.248264834284782,
      0.259652763605118,
      0.163736939430237,
      0.136140167713165,
      0.180221945047379,
      0.253661155700684,
      0.243594691157341,
      0.193148151040077,
      0.160119622945786,
      0.147906363010406,
      0.185680031776428,
      0.278560996055603,
      0.291677951812744,
      0.241777047514915,
      0.254250526428223,
      0.276586949825287,
      0.222820356488228,
      0.166139245033264,
      0.257377088069916,
      0.275679379701614,
      0.200704380869865,
      0.249770730733871,
      0.308051854372025,
      0.282842099666595,
      0.235794797539711,
      0.30590233206749,
      0.335545033216476,
      0.292576462030411,
      0.242306470870972,
      0.291474789381027,
      0.288291990756989,
      0.281881034374237,
      0.301544636487961,
      0.286169528961182,
      0.272069782018661,
      0.29438316822052,
      0.335344731807709,
      0.315550446510315,
      0.279283285140991,
      0.285978347063065,
      0.297941356897354,
      0.263136297464371,
      0.246126055717468,
      0.252640336751938,
      0.234439253807068,
      0.217001780867577,
      0.294537723064423,
      0.309215992689133,
      0.294959932565689,
      0.272506862878799,
      0.280288577079773,
      0.280947178602219,
      0.282116681337357,
      0.304447054862976,
      0.308450907468796,
      0.275971084833145,
      0.271466135978699,
      0.272326320409775,
      0.268870919942856,
      0.263375788927078,
      0.281976372003555,
      0.306336790323257,
      0.299932837486267,
      0.288039028644562,
      0.29225766658783,
      0.278333008289337,
      0.260865688323975,
      0.260804563760757,
      0.269003450870514,
      0.263070791959763,
      0.246214136481285,
      0.256890505552292,
      0.293182104825974,
      0.299037933349609,
      0.277368694543839,
      0.2940414249897,
      0.294939130544662,
      0.264915645122528,
      0.238929629325867,
      0.234876453876495,
      0.225700214505196,
      0.222105726599693,
      0.22316275537014,
      0.235341131687164,
      0.227456241846085,
      0.262324571609497,
      0.263157814741135,
      0.210740029811859,
      0.220872268080711,
      0.270595878362656,
      0.311406701803207,
      0.275958508253098,
      0.196004211902618,
      0.146622985601425,
      0.15053579211235,
      0.229490771889687,
      0.247825101017952,
      0.207879453897476,
      0.211667969822884,
      0.193805605173111,
      0.172272875905037,
      0.169380247592926,
      0.227210715413094,
      0.321319252252579,
      0.300274014472961,
      0.25018322467804,
      0.22439794242382,
      0.195091277360916,
      0.191858872771263,
      0.182732373476028,
      0.15644770860672,
      0.141342341899872,
      0.135706678032875,
      0.230493649840355,
      0.238641530275345,
      0.135057494044304,
      0.184304639697075,
      0.208270147442818,
      0.142757564783096,
      0.160748586058617,
      0.219810903072357,
      0.229359075427055,
      0.187879621982574,
      0.153958901762962,
      0.181540757417679,
      0.177313044667244,
      0.150378078222275,
      0.210212290287018,
      0.296165466308594,
      0.265519767999649,
      0.302623093128204,
      0.289293825626373,
      0.185715734958649,
      0.147275745868683,
      0.130465015769005,
      0.256707459688187,
      0.322281867265701,
      0.310063987970352,
      0.301285445690155,
      0.290125161409378,
      0.265829205513,
      0.219090446829796,
      0.187419682741165,
      0.175143271684647,
      0.201154917478561,
      0.271214216947556,
      0.2961106300354,
      0.248220935463905,
      0.24754299223423,
      0.266663759946823,
      0.280102252960205,
      0.285158425569534,
      0.294691175222397,
      0.292585223913193,
      0.23652970790863,
      0.213646396994591,
      0.189453855156898,
      0.143929585814476,
      0.22883652150631,
      0.290239483118057,
      0.257025241851807,
      0.190545856952667,
      0.156601920723915,
      0.22172823548317,
      0.276709854602814,
      0.262396782636642,
      0.262644380331039,
      0.250673741102219,
      0.233485206961632,
      0.281723588705063,
      0.288070976734161,
      0.251711428165436,
      0.272637218236923,
      0.299516618251801,
      0.298585474491119,
      0.280836015939713,
      0.270164400339127,
      0.267700463533401,
      0.261704355478287,
      0.237904012203217,
      0.230320408940315,
      0.284836530685425,
      0.311168998479843,
      0.267093360424042,
      0.255366533994675,
      0.255985051393509,
      0.280136793851852,
      0.267934828996658,
      0.147735267877579,
      0.122048780322075,
      0.184278935194016,
      0.202762708067894,
      0.146445259451866,
      0.118603423237801,
      0.232360363006592,
      0.25877845287323,
      0.186506494879723,
      0.249961569905281,
      0.25199031829834,
      0.180155396461487,
      0.227026253938675,
      0.253164142370224,
      0.210452169179916,
      0.109045162796974,
      0.164849504828453,
      0.251961231231689,
      0.261127322912216,
      0.271177709102631,
      0.266009390354156,
      0.246270999312401,
      0.215167209506035,
      0.244953602552414,
      0.3006212413311,
      0.24182353913784,
      0.250841647386551,
      0.291009724140167,
      0.303660213947296,
      0.254862904548645,
      0.185431852936745,
      0.170124053955078,
      0.153981551527977,
      0.129324972629547,
      0.146840363740921,
      0.186347231268883,
      0.207336351275444,
      0.273397266864777,
      0.21625879406929,
      0.116226948797703,
      0.209906667470932,
      0.270682632923126,
      0.289010554552078,
      0.275202304124832,
      0.231787398457527,
      0.202853962779045,
      0.177143186330795,
      0.13581956923008,
      0.146743729710579,
      0.163173839449883,
      0.160818099975586,
      0.237921088933945,
      0.23895175755024,
      0.127695932984352,
      0.1281548589468,
      0.26835373044014,
      0.320028960704803,
      0.319671303033829,
      0.293352037668228,
      0.247464075684547,
      0.213534474372864,
      0.178850710391998,
      0.24106927216053,
      0.230120524764061,
      0.109842516481876,
      0.219161137938499,
      0.261005073785782,
      0.182310566306114,
      0.151271894574165,
      0.270776093006134,
      0.364276170730591,
      0.342968940734863,
      0.323800623416901,
      0.258957892656326,
      0.143943935632706,
      0.153804838657379,
      0.252035677433014,
      0.284405529499054,
      0.258411020040512,
      0.254965513944626,
      0.259476125240326,
      0.14600881934166,
      0.133940160274506,
      0.271996170282364,
      0.323066353797913,
      0.303522080183029,
      0.297538131475449,
      0.298158645629883,
      0.300795406103134,
      0.303041160106659,
      0.304220467805862,
      0.301086217164993,
      0.299917370080948,
      0.299188435077667,
      0.293363600969315,
      0.297011852264404,
      0.260885834693909,
      0.229829549789429,
      0.274729669094086,
      0.315117508172989,
      0.318725675344467,
      0.296930760145187,
      0.301923453807831,
      0.289687842130661,
      0.281184643507004,
      0.279177576303482,
      0.294527977705002,
      0.2917320728302,
      0.28173816204071,
      0.312318176031113,
      0.343356013298035,
      0.313519984483719,
      0.307247132062912,
      0.323175698518753,
      0.308362007141113,
      0.282424330711365,
      0.271795719861984,
      0.281884133815765,
      0.279782861471176,
      0.240259692072868,
      0.182885617017746,
      0.151059702038765,
      0.233497485518456,
      0.243139818310738,
      0.166264116764069,
      0.157576471567154,
      0.192815214395523,
      0.289375990629196,
      0.34710893034935,
      0.29387441277504,
      0.281849592924118,
      0.290840476751328,
      0.280564218759537,
      0.259475290775299,
      0.168196484446526,
      0.120104014873505,
      0.110775396227837,
      0.171423405408859,
      0.20780411362648,
      0.149651095271111,
      0.239731922745705,
      0.294691354036331,
      0.279320985078812,
      0.243373170495033,
      0.22077465057373,
      0.186604380607605,
      0.162907674908638,
      0.149300470948219,
      0.158785253763199,
      0.233626186847687,
      0.275541424751282,
      0.271034210920334,
      0.227354019880295,
      0.199795871973038,
      0.24586908519268,
      0.228868618607521,
      0.164083108305931,
      0.145947262644768,
      0.136291295289993,
      0.109632983803749,
      0.0675480663776398,
      0.0914952680468559,
      0.148636594414711,
      0.111662790179253,
      0.21882238984108,
      0.257354229688644,
      0.15165139734745,
      0.0968056917190552,
      0.0697818696498871,
      0.17846454679966,
      0.211368680000305,
      0.184148237109184,
      0.17542964220047,
      0.241637721657753,
      0.29113844037056,
      0.234200581908226,
      0.247399032115936,
      0.28439000248909,
      0.270354330539703,
      0.261240392923355,
      0.237591028213501,
      0.239210933446884,
      0.259702980518341,
      0.288490861654282,
      0.290316641330719,
      0.269373655319214,
      0.247175008058548,
      0.204834833741188,
      0.133159011602402,
      0.219499036669731,
      0.301131278276443,
      0.285475015640259,
      0.265603095293045,
      0.27550145983696,
      0.249758824706078,
      0.18879745900631,
      0.234544932842255,
      0.30056694149971,
      0.265585154294968,
      0.213303580880165,
      0.184455290436745,
      0.178762465715408,
      0.186122879385948,
      0.277803510427475,
      0.328664004802704,
      0.272705048322678,
      0.215768292546272,
      0.188840016722679,
      0.186472117900848,
      0.156290650367737,
      0.229535058140755,
      0.29769691824913,
      0.251478791236877,
      0.219914719462395,
      0.195139765739441,
      0.155404821038246,
      0.142086654901505,
      0.230574756860733,
      0.30625593662262,
      0.304579883813858,
      0.250322908163071,
      0.232507213950157,
      0.186152055859566,
      0.159038349986076,
      0.263377666473389,
      0.318662643432617,
      0.308232843875885,
      0.277422696352005,
      0.246517643332481,
      0.234513476490974,
      0.203193977475166,
      0.234948322176933,
      0.319155097007751,
      0.319363236427307,
      0.262515276670456,
      0.20612034201622,
      0.167090877890587,
      0.174844488501549,
      0.259078323841095,
      0.288911193609238,
      0.280783295631409,
      0.235576868057251,
      0.188845291733742,
      0.16803677380085,
      0.15911790728569,
      0.273146480321884,
      0.327175408601761,
      0.290153622627258,
      0.22319383919239,
      0.185568913817406,
      0.18421246111393,
      0.177100270986557,
      0.270872235298157,
      0.282763659954071,
      0.241435587406158,
      0.192756131291389,
      0.193823337554932,
      0.2213164716959,
      0.248395845293999,
      0.285402059555054,
      0.269275337457657,
      0.238692194223404,
      0.186895921826363,
      0.203747928142548,
      0.248417153954506,
      0.291163325309753,
      0.331798255443573,
      0.323116481304169,
      0.295044422149658,
      0.293653190135956,
      0.292232364416122,
      0.27274015545845,
      0.263261288404465,
      0.31088000535965,
      0.310583978891373,
      0.278988242149353,
      0.285216361284256,
      0.289273291826248,
      0.260723173618317,
      0.256792098283768,
      0.29420268535614,
      0.245862975716591,
      0.147399306297302,
      0.135987564921379,
      0.131650254130363,
      0.112438179552555,
      0.165680125355721,
      0.286338031291962,
      0.291706055402756,
      0.266594350337982,
      0.284665286540985,
      0.289315909147263,
      0.28238233923912,
      0.275703907012939,
      0.297164231538773,
      0.309675931930542,
      0.27971887588501,
      0.277149468660355,
      0.251845926046371,
      0.166102349758148,
      0.203867092728615,
      0.269496291875839,
      0.271175473928452,
      0.260532766580582,
      0.258979171514511,
      0.252336442470551,
      0.212577745318413,
      0.199877187609673,
      0.310816019773483,
      0.334364145994186,
      0.301130175590515,
      0.286654680967331,
      0.259407132863998,
      0.251261115074158,
      0.228487372398376,
      0.259902596473694,
      0.308099061250687,
      0.297592550516129,
      0.275160431861877,
      0.266570955514908,
      0.254722207784653,
      0.207843765616417,
      0.207375809550285,
      0.212804466485977,
      0.155997231602669,
      0.13446344435215,
      0.245458990335464,
      0.252313435077667,
      0.153422683477402,
      0.156093597412109,
      0.25505131483078,
      0.28055527806282,
      0.206710264086723,
      0.190545096993446,
      0.221373245120049,
      0.184557303786278,
      0.212409824132919,
      0.291731685400009,
      0.270331531763077,
      0.189503699541092,
      0.154183730483055,
      0.138447821140289,
      0.137122735381126,
      0.138421311974525,
      0.195625811815262,
      0.193931952118874,
      0.17727954685688,
      0.253789216279984,
      0.245683133602142,
      0.124778084456921,
      0.166925489902496,
      0.231485053896904,
      0.251355290412903,
      0.253890246152878,
      0.237751126289368,
      0.289408832788467,
      0.26780977845192,
      0.155843034386635,
      0.196384564042091,
      0.244750663638115,
      0.203527718782425,
      0.17475026845932,
      0.243609428405762,
      0.266818910837173,
      0.255207568407059,
      0.2525494992733,
      0.25915914773941,
      0.277265340089798,
      0.239238902926445,
      0.187934845685959,
      0.136215791106224,
      0.157980561256409,
      0.24283355474472,
      0.215772420167923,
      0.174319311976433,
      0.146616861224174,
      0.236637443304062,
      0.297756612300873,
      0.278300166130066,
      0.251440197229385,
      0.213602870702744,
      0.185340851545334,
      0.226306185126305,
      0.306318372488022,
      0.263015449047089,
      0.212381929159164,
      0.242980599403381,
      0.284375756978989,
      0.250279724597931,
      0.190558090806007,
      0.224921986460686,
      0.267375886440277,
      0.215768828988075,
      0.249138727784157,
      0.249786779284477,
      0.188536658883095,
      0.143540605902672,
      0.120411843061447,
      0.078995905816555,
      0.0792786478996277,
      0.189666643738747,
      0.257969319820404,
      0.202665716409683,
      0.267413556575775,
      0.257799655199051,
      0.120016895234585,
      0.181734427809715,
      0.20249117910862,
      0.150552198290825,
      0.12053569406271,
      0.157188102602959,
      0.239418923854828,
      0.222361609339714,
      0.244402453303337,
      0.249383926391602,
      0.238980561494827,
      0.207378700375557,
      0.200227424502373,
      0.247883543372154,
      0.204559192061424,
      0.163200542330742,
      0.301514476537704,
      0.300859451293945,
      0.225835874676704,
      0.199741259217262,
      0.214212447404861,
      0.226126000285149,
      0.218056112527847,
      0.220531582832336,
      0.223215281963348,
      0.217315912246704,
      0.223010331392288,
      0.286812007427216,
      0.278705030679703,
      0.262091010808945,
      0.258391082286835,
      0.286655992269516,
      0.304493933916092,
      0.267856329679489,
      0.23629042506218,
      0.231047749519348,
      0.261401534080505,
      0.292428553104401,
      0.251313894987106,
      0.228440046310425,
      0.19598676264286,
      0.206426784396172,
      0.206303015351295,
      0.184744387865067,
      0.259598761796951,
      0.302536875009537,
      0.23883119225502,
      0.183210805058479,
      0.185927718877792,
      0.186747655272484,
      0.165958553552628,
      0.165936201810837,
      0.159126758575439,
      0.146005377173424,
      0.242980167269707,
      0.25359034538269,
      0.169043764472008,
      0.173887863755226,
      0.239788860082626,
      0.250674605369568,
      0.205710053443909,
      0.183187618851662,
      0.181010872125626,
      0.169876739382744,
      0.223366126418114,
      0.232183307409286,
      0.159987658262253,
      0.13435161113739,
      0.132718816399574,
      0.12949974834919,
      0.12128421664238,
      0.130497977137566,
      0.237166106700897,
      0.266530632972717,
      0.206073954701424,
      0.182153269648552,
      0.179046884179115,
      0.165941506624222,
      0.171890169382095,
      0.180555120110512,
      0.187287077307701,
      0.170386120676994,
      0.24185885488987,
      0.295127630233765,
      0.264418244361877,
      0.263483166694641,
      0.2715685069561,
      0.283623307943344,
      0.25543349981308,
      0.195761099457741,
      0.200588807463646,
      0.215545728802681,
      0.184021934866905,
      0.240385994315147,
      0.28522977232933,
      0.247916415333748,
      0.267730355262756,
      0.306780695915222,
      0.306869029998779,
      0.313769847154617,
      0.293747961521149,
      0.2287308126688,
      0.182543441653252,
      0.177041068673134,
      0.184529915452003,
      0.205672562122345,
      0.210088759660721,
      0.20660737156868,
      0.197439506649971,
      0.201829865574837,
      0.249881908297539,
      0.237554788589478,
      0.138634815812111,
      0.150471076369286,
      0.282487124204636,
      0.320036560297012,
      0.261565804481506,
      0.215965062379837,
      0.191085159778595,
      0.175018206238747,
      0.224815994501114,
      0.244853481650352,
      0.188906908035278,
      0.152558267116547,
      0.239356830716133,
      0.259637266397476,
      0.180715650320053,
      0.177886500954628,
      0.292112082242966,
      0.322232663631439,
      0.268532365560532,
      0.268365859985352,
      0.260748773813248,
      0.248412117362022,
      0.230247035622597,
      0.226712718605995,
      0.207670703530312,
      0.18834912776947,
      0.263906121253967,
      0.300942003726959,
      0.273351758718491,
      0.269124537706375,
      0.26193779706955,
      0.21701680123806,
      0.180960118770599,
      0.203457593917847,
      0.234194815158844,
      0.169675424695015,
      0.115635268390179,
      0.239435791969299,
      0.2775819003582,
      0.205651685595512,
      0.156663060188293,
      0.204012259840965,
      0.219468101859093,
      0.160123631358147,
      0.237677007913589,
      0.278004616498947,
      0.254051268100739,
      0.26495286822319,
      0.2484160810709,
      0.157124906778336,
      0.136329337954521,
      0.121619999408722,
      0.137732535600662,
      0.162255600094795,
      0.226846039295197,
      0.242757469415665,
      0.150836423039436,
      0.137862771749496,
      0.183786481618881,
      0.204035520553589,
      0.202071458101273,
      0.212130144238472,
      0.276568561792374,
      0.222558498382568,
      0.0989374816417694,
      0.154387027025223,
      0.249714329838753,
      0.214225068688393,
      0.129047468304634,
      0.236958369612694,
      0.279676079750061,
      0.229267731308937,
      0.275834113359451,
      0.310254395008087,
      0.31199187040329,
      0.265371084213257,
      0.216324374079704,
      0.171404495835304,
      0.137249439954758,
      0.198372647166252,
      0.292282462120056,
      0.271135985851288,
      0.251197248697281,
      0.299240976572037,
      0.243985757231712,
      0.188437581062317,
      0.213885933160782,
      0.274267822504044,
      0.269438713788986,
      0.185922279953957,
      0.152548119425774,
      0.137632817029953,
      0.114758715033531,
      0.242370054125786,
      0.252238065004349,
      0.125288248062134,
      0.143102139234543,
      0.168189018964767,
      0.14266611635685,
      0.182300537824631,
      0.274006515741348,
      0.208866953849792,
      0.13146898150444,
      0.245515808463097,
      0.238745272159576,
      0.111003845930099,
      0.133589863777161,
      0.24727962911129,
      0.241159722208977,
      0.21408300101757,
      0.266873568296432,
      0.226473450660706,
      0.132233515381813,
      0.212065041065216,
      0.258168488740921,
      0.242554232478142,
      0.214545235037804,
      0.247100159525871,
      0.229497522115707,
      0.115694962441921,
      0.191290140151978,
      0.31056147813797,
      0.296924084424973,
      0.247481718659401,
      0.230474606156349,
      0.233098581433296,
      0.205652564764023,
      0.197115182876587,
      0.27663642168045,
      0.293845683336258,
      0.264519602060318,
      0.229382663965225,
      0.228461965918541,
      0.235268071293831,
      0.221577152609825,
      0.229278460144997,
      0.235718593001366,
      0.230401754379272,
      0.214553624391556,
      0.200995251536369,
      0.210943058133125,
      0.213830947875977,
      0.196612879633904,
      0.187298581004143,
      0.180482387542725,
      0.150622099637985,
      0.137606874108315,
      0.139220029115677,
      0.135486975312233,
      0.16510783135891,
      0.209898591041565,
      0.212990149855614,
      0.190858393907547,
      0.175202459096909,
      0.171945154666901,
      0.160073101520538,
      0.15915335714817,
      0.159064933657646,
      0.140932813286781,
      0.12842783331871,
      0.12754787504673,
      0.129898712038994,
      0.168684005737305,
      0.243814542889595,
      0.205609276890755,
      0.171312317252159,
      0.133740410208702,
      0.127447322010994,
      0.122460998594761,
      0.127568364143372,
      0.228010967373848,
      0.231141537427902,
      0.171501457691193,
      0.162097558379173,
      0.143080502748489,
      0.126255303621292,
      0.138510689139366,
      0.22795045375824,
      0.230309441685677,
      0.182371079921722,
      0.148812592029572,
      0.142567783594131,
      0.141838684678078,
      0.131847441196442,
      0.241808652877808,
      0.253530502319336,
      0.142591997981071,
      0.124701470136642,
      0.129299625754356,
      0.122927986085415,
      0.12823873758316,
      0.228645816445351,
      0.249926507472992,
      0.198150545358658,
      0.186775833368301,
      0.176435634493828,
      0.176110059022903,
      0.171700403094292,
      0.246883764863014,
      0.265558362007141,
      0.195039227604866,
      0.152341336011887,
      0.152349680662155,
      0.142255678772926,
      0.119723699986935,
      0.232766911387444,
      0.262931317090988,
      0.190690770745277,
      0.171312391757965,
      0.148728430271149,
      0.132364749908447,
      0.167693361639977,
      0.276856899261475,
      0.276997953653336,
      0.260456562042236,
      0.243504926562309,
      0.21520970761776,
      0.17709031701088,
      0.132709383964539,
      0.237367659807205,
      0.282993644475937,
      0.246852308511734,
      0.216969311237335,
      0.170697867870331,
      0.116287469863892,
      0.0742936208844185,
      0.269404202699661,
      0.312562018632889,
      0.21064966917038,
      0.195910230278969,
      0.17899426817894,
      0.158892184495926,
      0.132966205477715,
      0.187140256166458,
      0.286631673574448,
      0.274337738752365,
      0.221530616283417,
      0.202906310558319,
      0.173312455415726,
      0.158520489931107,
      0.255768865346909,
      0.3045514523983,
      0.247905090451241,
      0.22292073071003,
      0.207163780927658,
      0.201932981610298,
      0.196149945259094,
      0.245651617646217,
      0.293270945549011,
      0.261994868516922,
      0.243479758501053,
      0.229427367448807,
      0.220020204782486,
      0.221142962574959,
      0.272831916809082,
      0.292456686496735,
      0.27093169093132,
      0.24846363067627,
      0.225960895419121,
      0.23041096329689,
      0.228703394532204,
      0.271611899137497,
      0.324969083070755,
      0.287196040153503,
      0.25383335351944,
      0.251645237207413,
      0.273069769144058,
      0.248373210430145,
      0.28321099281311,
      0.300397247076035,
      0.233206138014793,
      0.186655789613724,
      0.197961539030075,
      0.228095635771751,
      0.212906748056412,
      0.244688808917999,
      0.293815672397614,
      0.268386483192444,
      0.231776207685471,
      0.182678878307343,
      0.156349435448647,
      0.150404736399651,
      0.243272706866264,
      0.288948088884354,
      0.271353751420975,
      0.241309776902199,
      0.179806187748909,
      0.158802211284637,
      0.139893010258675,
      0.241341337561607,
      0.312918096780777,
      0.284206122159958,
      0.219195827841759,
      0.210448756814003,
      0.220062240958214,
      0.199696809053421,
      0.248097956180573,
      0.302008599042892,
      0.268502801656723,
      0.207091346383095,
      0.173129454255104,
      0.169974327087402,
      0.162071317434311,
      0.240982174873352,
      0.32620170712471,
      0.29754102230072,
      0.219401746988297,
      0.19339083135128,
      0.209537401795387,
      0.240480422973633,
      0.276448130607605,
      0.311634331941605,
      0.302495837211609,
      0.282728046178818,
      0.268588453531265,
      0.242820575833321,
      0.223194658756256,
      0.264266341924667,
      0.313720136880875,
      0.301400125026703,
      0.267086386680603,
      0.242092028260231,
      0.243691653013229,
      0.218028515577316,
      0.204498410224915,
      0.287406980991364,
      0.303923785686493,
      0.297618955373764,
      0.278983265161514,
      0.265231668949127,
      0.253694474697113,
      0.234965652227402,
      0.215018421411514,
      0.160095363855362,
      0.091736726462841,
      0.0605488047003746,
      0.112690508365631,
      0.11632889509201,
      0.0647434443235397,
      0.148296594619751,
      0.19212594628334,
      0.166005805134773,
      0.176908001303673,
      0.19039660692215,
      0.115809120237827,
      0.0299999974668026,
      0.0654401555657387,
      0.208265513181686,
      0.27620667219162,
      0.294876337051392,
      0.302081286907196,
      0.266614496707916,
      0.201668426394463,
      0.256131708621979,
      0.300816237926483,
      0.244147762656212,
      0.246898397803307,
      0.241304889321327,
      0.236872777342796,
      0.242559850215912,
      0.290043234825134,
      0.292068898677826,
      0.236571624875069,
      0.201465785503387,
      0.222841337323189,
      0.27370810508728,
      0.276201546192169,
      0.298793703317642,
      0.302553653717041,
      0.287808239459991,
      0.273122668266296,
      0.263680875301361,
      0.246980354189873,
      0.223041966557503,
      0.273178905248642,
      0.286908745765686,
      0.261018484830856,
      0.238712310791016,
      0.234008938074112,
      0.226819217205048,
      0.216449782252312,
      0.297968178987503,
      0.327200084924698,
      0.254777103662491,
      0.180769726634026,
      0.156100690364838,
      0.171929076313972,
      0.197323590517044,
      0.280274659395218,
      0.297221839427948,
      0.237143903970718,
      0.185380324721336,
      0.168026730418205,
      0.158946707844734,
      0.169575750827789,
      0.277426719665527,
      0.291832983493805,
      0.223099306225777,
      0.182010874152184,
      0.174194544553757,
      0.180008769035339,
      0.200045958161354,
      0.273361176252365,
      0.27007782459259,
      0.206033825874329,
      0.148737177252769,
      0.131251454353333,
      0.129192814230919,
      0.18177492916584,
      0.290541261434555,
      0.280476897954941,
      0.179652988910675,
      0.164788201451302,
      0.170709565281868,
      0.1570915132761,
      0.199145823717117,
      0.286673486232758,
      0.296833246946335,
      0.236771032214165,
      0.181426882743835,
      0.23569267988205,
      0.249808251857758,
      0.258849531412125,
      0.304245591163635,
      0.301356822252274,
      0.240181252360344,
      0.211876928806305,
      0.202458679676056,
      0.181215390563011,
      0.212261602282524,
      0.28432098031044,
      0.267611861228943,
      0.17984464764595,
      0.148232713341713,
      0.281797379255295,
      0.330851495265961,
      0.280581146478653,
      0.293237596750259,
      0.28701451420784,
      0.243808597326279,
      0.246564358472824,
      0.300680607557297,
      0.291599839925766,
      0.294450521469116,
      0.303438454866409,
      0.29475262761116,
      0.262127935886383,
      0.293004304170609,
      0.302817076444626,
      0.222713813185692,
      0.17573507130146,
      0.262902736663818,
      0.324927985668182,
      0.297716021537781,
      0.327417463064194,
      0.372085243463516,
      0.335035860538483,
      0.31383016705513,
      0.280951887369156,
      0.285309195518494,
      0.281922966241837,
      0.260904103517532,
      0.24664543569088,
      0.248372882604599,
      0.269374459981918,
      0.312883317470551,
      0.317968904972076,
      0.290106236934662,
      0.281913101673126,
      0.25421679019928,
      0.219186589121819,
      0.261693358421326,
      0.285418659448624,
      0.269937545061111,
      0.263305842876434,
      0.260998785495758,
      0.252422511577606,
      0.24255159497261,
      0.258995443582535,
      0.281660854816437,
      0.246862903237343,
      0.226137161254883,
      0.269031167030334,
      0.297525852918625,
      0.253509402275085,
      0.197005227208138,
      0.237111806869507,
      0.297217965126038,
      0.265163034200668,
      0.239553928375244,
      0.242666363716125,
      0.250258564949036,
      0.255558729171753,
      0.281709671020508,
      0.271239936351776,
      0.232613831758499,
      0.1699288636446,
      0.171808138489723,
      0.241400226950645,
      0.258937627077103,
      0.234428122639656,
      0.232584476470947,
      0.230497390031815,
      0.280547112226486,
      0.262687236070633,
      0.219325855374336,
      0.248164400458336,
      0.248180463910103,
      0.247218191623688,
      0.264942049980164,
      0.274906307458878,
      0.270348399877548,
      0.182447984814644,
      0.17786505818367,
      0.289248108863831,
      0.276679694652557,
      0.223792895674706,
      0.173595651984215,
      0.213392853736877,
      0.247951865196228,
      0.229660049080849,
      0.293400853872299,
      0.333833575248718,
      0.337939471006393,
      0.302328824996948,
      0.252193003892899,
      0.20369616150856,
      0.170499607920647,
      0.147476181387901,
      0.14111553132534,
      0.138156279921532,
      0.232651874423027,
      0.323550820350647,
      0.313922435045242,
      0.255227237939835,
      0.208814010024071,
      0.144998997449875,
      0.13185016810894,
      0.230592653155327,
      0.306282609701157,
      0.283960819244385,
      0.234218150377274,
      0.168704479932785,
      0.187255650758743,
      0.214564830064774,
      0.198350831866264,
      0.199973315000534,
      0.201519966125488,
      0.216959297657013,
      0.280433356761932,
      0.246091589331627,
      0.181329473853111,
      0.216695845127106,
      0.291018813848495,
      0.26568278670311,
      0.213024362921715,
      0.237547114491463,
      0.297501236200333,
      0.284858733415604,
      0.299886167049408,
      0.298679918050766,
      0.253772497177124,
      0.234725788235664,
      0.253853172063828,
      0.285015314817429,
      0.26658707857132,
      0.240354016423225,
      0.205505713820457,
      0.169840425252914,
      0.171597018837929,
      0.267093181610107,
      0.291426479816437,
      0.230192914605141,
      0.205993339419365,
      0.240721583366394,
      0.267159670591354,
      0.235540121793747,
      0.30240136384964,
      0.326485365629196,
      0.263107448816299,
      0.25005841255188,
      0.243885010480881,
      0.227279081940651,
      0.207517251372337,
      0.216408789157867,
      0.219323128461838,
      0.227200299501419,
      0.280123472213745,
      0.307555943727493,
      0.288167268037796,
      0.264782726764679,
      0.273199915885925,
      0.286293208599091,
      0.27869376540184,
      0.268962472677231,
      0.271944612264633,
      0.259916186332703,
      0.237106457352638,
      0.290720015764236,
      0.315803319215775,
      0.281111061573029,
      0.279735743999481,
      0.30966317653656,
      0.311369210481644,
      0.286525279283524,
      0.299260854721069,
      0.286715269088745,
      0.254280120134354,
      0.215189799666405,
      0.198237285017967,
      0.21752242743969,
      0.199822679162025,
      0.213953629136086,
      0.273606091737747,
      0.277214854955673,
      0.259878486394882,
      0.282895892858505,
      0.228274002671242,
      0.159331649541855,
      0.190528631210327,
      0.23528553545475,
      0.245004817843437,
      0.209267556667328,
      0.17475414276123,
      0.139924988150597,
      0.112435787916183,
      0.227257430553436,
      0.330026149749756,
      0.319684237241745,
      0.287139743566513,
      0.255071699619293,
      0.21856027841568,
      0.163019925355911,
      0.270201742649078,
      0.336621284484863,
      0.29122868180275,
      0.285078138113022,
      0.272330045700073,
      0.236576676368713,
      0.188056424260139,
      0.155236527323723,
      0.225153103470802,
      0.225556626915932,
      0.180537194013596,
      0.247341588139534,
      0.28899684548378,
      0.271449327468872,
      0.292725533246994,
      0.32246270775795,
      0.305131137371063,
      0.286621600389481,
      0.285067915916443,
      0.299036592245102,
      0.266073405742645,
      0.248357117176056,
      0.293475121259689,
      0.261551767587662,
      0.221750572323799,
      0.207593902945518,
      0.178393885493279,
      0.147927045822144,
      0.187851175665855,
      0.278333932161331,
      0.285392761230469,
      0.258635431528091,
      0.260228276252747,
      0.185267060995102,
      0.162194192409515,
      0.245662540197372,
      0.278112024068832,
      0.241052031517029,
      0.271068125963211,
      0.306955128908157,
      0.296449452638626,
      0.300371795892715,
      0.294485688209534,
      0.290002346038818,
      0.292453855276108,
      0.3021499812603,
      0.337364852428436,
      0.331747859716415,
      0.278680235147476,
      0.32051482796669,
      0.361461222171783,
      0.320865988731384,
      0.278006792068481,
      0.284185886383057,
      0.274608999490738,
      0.258673250675201,
      0.308268338441849,
      0.317213743925095,
      0.272388339042664,
      0.260614156723022,
      0.24895766377449,
      0.238702028989792,
      0.220649212598801,
      0.231863126158714,
      0.267441004514694,
      0.220968276262283,
      0.176483526825905,
      0.20591875910759,
      0.211918815970421,
      0.177954971790314,
      0.230142250657082,
      0.230653092265129,
      0.145560994744301,
      0.115252129733562,
      0.226787641644478,
      0.26854619383812,
      0.168068274855614,
      0.144948974251747,
      0.24945342540741,
      0.276912003755569,
      0.210153326392174,
      0.193678721785545,
      0.217704832553864,
      0.21474301815033,
      0.255221456289291,
      0.297057181596756,
      0.266680389642715,
      0.251980662345886,
      0.219600602984428,
      0.177494823932648,
      0.133751377463341,
      0.118952937424183,
      0.12831312417984,
      0.155918091535568,
      0.157930538058281,
      0.243450403213501,
      0.206173717975616,
      0.132948681712151,
      0.213814973831177,
      0.220722943544388,
      0.173170447349548,
      0.224747404456139,
      0.314340054988861,
      0.322343707084656,
      0.20766744017601,
      0.146509677171707,
      0.272595643997192,
      0.301815390586853,
      0.231332987546921,
      0.194894284009933,
      0.183434545993805,
      0.153727889060974,
      0.245885461568832,
      0.310879170894623,
      0.285733729600906,
      0.276627719402313,
      0.23424169421196,
      0.158930718898773,
      0.130903527140617,
      0.229699566960335,
      0.309527486562729,
      0.269235104322433,
      0.213015645742416,
      0.258592784404755,
      0.222978293895721,
      0.128056257963181,
      0.187262490391731,
      0.195900991559029,
      0.12944258749485,
      0.131262227892876,
      0.245634436607361,
      0.220270097255707,
      0.119699664413929,
      0.208705902099609,
      0.211259558796883,
      0.109063774347305,
      0.114870823919773,
      0.183506339788437,
      0.178865477442741,
      0.118278190493584,
      0.245142057538033,
      0.290757834911346,
      0.185454711318016,
      0.156051382422447,
      0.26696041226387,
      0.273074179887772,
      0.125489324331284,
      0.164799600839615,
      0.256763190031052,
      0.254621386528015,
      0.187146753072739,
      0.239844232797623,
      0.265879094600677,
      0.226694270968437,
      0.269665658473969,
      0.325468838214874,
      0.30425301194191,
      0.246376186609268,
      0.24725803732872,
      0.213893190026283,
      0.187528058886528,
      0.233931541442871,
      0.290820240974426,
      0.236831501126289,
      0.199520260095596,
      0.284442663192749,
      0.291899561882019,
      0.268727004528046,
      0.292822986841202,
      0.308196753263474,
      0.249939247965813,
      0.22368398308754,
      0.263110816478729,
      0.261940598487854,
      0.226355612277985,
      0.24402329325676,
      0.261928707361221,
      0.238112911581993,
      0.224220603704453,
      0.273331701755524,
      0.324420541524887,
      0.294536948204041,
      0.281104028224945,
      0.284650892019272,
      0.257606863975525,
      0.236152872443199,
      0.247312277555466,
      0.265834450721741,
      0.279166787862778,
      0.286097824573517,
      0.280891358852386,
      0.240036576986313,
      0.214729771018028,
      0.266559958457947,
      0.319568395614624,
      0.303709357976913,
      0.271442770957947,
      0.289615750312805,
      0.25235578417778,
      0.214774861931801,
      0.254050552845001,
      0.252901047468185,
      0.245629489421844,
      0.222604691982269,
      0.21603399515152,
      0.220595642924309,
      0.232275828719139,
      0.298198044300079,
      0.325814068317413,
      0.263117074966431,
      0.275268375873566,
      0.291329592466354,
      0.257795095443726,
      0.229566812515259,
      0.187288269400597,
      0.193738549947739,
      0.200193464756012,
      0.259962946176529,
      0.284758925437927,
      0.233439534902573,
      0.234883531928062,
      0.332231014966965,
      0.353504300117493,
      0.322836101055145,
      0.283701926469803,
      0.286576151847839,
      0.294113785028458,
      0.271402209997177,
      0.291527569293976,
      0.293599724769592,
      0.206646353006363,
      0.244071468710899,
      0.305841743946075,
      0.271940916776657,
      0.247906774282455,
      0.286626815795898,
      0.269448012113571,
      0.243231490254402,
      0.317244499921799,
      0.333703190088272,
      0.256443232297897,
      0.247394189238548,
      0.240728572010994,
      0.193638056516647,
      0.192867964506149,
      0.254229456186295,
      0.263486683368683,
      0.193458765745163,
      0.258244961500168,
      0.308011591434479,
      0.309940934181213,
      0.310025900602341,
      0.304821163415909,
      0.302296847105026,
      0.258959501981735,
      0.235938921570778,
      0.293450087308884,
      0.301886558532715,
      0.277421504259109,
      0.296421825885773,
      0.347582191228867,
      0.302534848451614,
      0.262420922517776,
      0.260920912027359,
      0.193285644054413,
      0.176277205348015,
      0.290652006864548,
      0.292952537536621,
      0.262585639953613,
      0.263914704322815,
      0.24103969335556,
      0.170319601893425,
      0.171035051345825,
      0.289262175559998,
      0.296381562948227,
      0.276510536670685,
      0.270866841077805,
      0.273161321878433,
      0.266584277153015,
      0.255939573049545,
      0.31247878074646,
      0.295027315616608,
      0.277828752994537,
      0.270729839801788,
      0.2346411049366,
      0.208047822117805,
      0.193709760904312,
      0.259151846170425,
      0.288905948400497,
      0.251635819673538,
      0.231603607535362,
      0.250830411911011,
      0.249389186501503,
      0.19417716562748,
      0.221568375825882,
      0.24183563888073,
      0.159962460398674,
      0.117322616279125,
      0.22494612634182,
      0.232567712664604,
      0.116822794079781,
      0.114791817963123,
      0.242375925183296,
      0.279081016778946,
      0.210905402898788,
      0.18236069381237,
      0.231043428182602,
      0.240842506289482,
      0.2576584815979,
      0.250649780035019,
      0.244989901781082,
      0.262195110321045,
      0.242086514830589,
      0.196066066622734,
      0.134950995445251,
      0.135563835501671,
      0.180826678872108,
      0.205124065279961,
      0.222162127494812,
      0.283065795898438,
      0.263117551803589,
      0.159764692187309,
      0.235839813947678,
      0.246241301298141,
      0.140090465545654,
      0.123843356966972,
      0.0945009887218475,
      0.063249908387661,
      0.19969479739666,
      0.287189781665802,
      0.308643192052841,
      0.275359809398651,
      0.26501539349556,
      0.272961318492889,
      0.289883196353912,
      0.287630647420883,
      0.295089244842529,
      0.326391190290451,
      0.324636220932007,
      0.295656770467758,
      0.288427263498306,
      0.282414346933365,
      0.261382550001144,
      0.256523668766022,
      0.242299601435661,
      0.250029712915421,
      0.257100105285645,
      0.282368957996368,
      0.280985742807388,
      0.255599617958069,
      0.270692378282547,
      0.302051991224289,
      0.286124736070633,
      0.23846372961998,
      0.258442550897598,
      0.271426349878311,
      0.239518821239471,
      0.233236968517303,
      0.287864536046982,
      0.286865323781967,
      0.243721961975098,
      0.243430390954018,
      0.231471478939056,
      0.162086397409439,
      0.0980033874511719,
      0.266513168811798,
      0.310957312583923,
      0.202200695872307,
      0.245858788490295,
      0.248060762882233,
      0.119706504046917,
      0.183518707752228,
      0.276555418968201,
      0.285771816968918,
      0.258821934461594,
      0.233809933066368,
      0.190948665142059,
      0.128817588090897,
      0.172338321805,
      0.281308561563492,
      0.297027677297592,
      0.275850892066956,
      0.255026996135712,
      0.223196342587471,
      0.184642717242241,
      0.147427424788475,
      0.265255987644196,
      0.279499500989914,
      0.24513253569603,
      0.227035403251648,
      0.215079054236412,
      0.216494128108025,
      0.204388707876205,
      0.276800870895386,
      0.300639003515244,
      0.254610478878021,
      0.245976448059082,
      0.240362629294395,
      0.229227900505066,
      0.224558532238007,
      0.221360564231873,
      0.242562189698219,
      0.249688565731049,
      0.254652261734009,
      0.275938749313354,
      0.22648112475872,
      0.19931373000145,
      0.254110753536224,
      0.265708208084106,
      0.24902218580246,
      0.247367352247238,
      0.226530194282532,
      0.208285182714462,
      0.215855270624161,
      0.224214598536491,
      0.255885660648346,
      0.254833787679672,
      0.228458628058434,
      0.252468228340149,
      0.258431851863861,
      0.218316733837128,
      0.174715057015419,
      0.163009107112885,
      0.176133021712303,
      0.22863033413887,
      0.267476409673691,
      0.2098358720541,
      0.12300968170166,
      0.108201801776886,
      0.163970127701759,
      0.201883614063263,
      0.161927700042725,
      0.21412219107151,
      0.23412612080574,
      0.169529676437378,
      0.225774213671684,
      0.258983820676804,
      0.229685619473457,
      0.183418899774551,
      0.183862894773483,
      0.19319412112236,
      0.154252171516418,
      0.200920417904854,
      0.26280289888382,
      0.254164755344391,
      0.253654330968857,
      0.234146669507027,
      0.182010740041733,
      0.173476874828339,
      0.155972748994827,
      0.167800903320312,
      0.168740034103394,
      0.129494145512581,
      0.183907315135002,
      0.170101404190063,
      0.101779662072659,
      0.147612050175667,
      0.185681223869324,
      0.168647214770317,
      0.168574273586273,
      0.191503971815109,
      0.128605872392654,
      0.108342982828617,
      0.127012401819229,
      0.155379980802536,
      0.156873270869255,
      0.131873250007629,
      0.181282758712769,
      0.136364921927452,
      0.0828636735677719,
      0.081986203789711,
      0.137910276651382,
      0.163859605789185,
      0.197065815329552,
      0.219645842909813,
      0.166305258870125,
      0.169889345765114,
      0.164100244641304,
      0.178179755806923,
      0.183214440941811,
      0.166265293955803,
      0.198160409927368,
      0.172853112220764,
      0.133547842502594,
      0.174027323722839,
      0.194175541400909,
      0.144912093877792,
      0.139994040131569,
      0.186849474906921,
      0.14179927110672,
      0.13550078868866,
      0.213893711566925,
      0.243193715810776,
      0.197772040963173,
      0.203317493200302,
      0.180599793791771,
      0.117431253194809,
      0.138544470071793,
      0.170931205153465,
      0.132001236081123,
      0.0965613722801208,
      0.101427219808102,
      0.100472077727318,
      0.0785011425614357,
      0.090441919863224,
      0.164817035198212,
      0.158457085490227,
      0.139296248555183,
      0.132141247391701,
      0.12458198517561,
      0.117701753973961,
      0.111294321715832,
      0.149851486086845,
      0.138713955879211,
      0.0873289555311203,
      0.076719656586647,
      0.0712149664759636,
      0.0683051943778992,
      0.0589648485183716,
      0.0728347823023796,
      0.0711393132805824,
      0.0491484962403774,
      0.0748328939080238,
      0.110787346959114,
      0.079739511013031,
      0.045123852789402,
      0.0521953552961349,
      0.0903539583086967,
      0.0877673625946045,
      0.0925360471010208,
      0.100173830986023,
      0.0776753500103951,
      0.0603044033050537,
      0.0937929973006248,
      0.107943497598171,
      0.0814356058835983,
      0.0700316056609154,
      0.0482860654592514,
      0.0373839847743511,
      0.0341653414070606,
      0.038120448589325,
      0.0429236032068729,
      0.0407239608466625,
      0.0632025003433228,
      0.0766477659344673,
      0.0535239242017269,
      0.0347532220184803,
      0.0712641179561615,
      0.0886222869157791,
      0.076060026884079,
      0.0574658624827862,
      0.0408492162823677,
      0.0490527972579002,
      0.0597445294260979,
      0.0752550587058067,
      0.0721701681613922,
      0.0515499226748943,
      0.0317273251712322,
      0.054174393415451,
      0.0648023188114166,
      0.0461188368499279,
      0.0754071846604347,
      0.086331769824028,
      0.0591138415038586,
      0.0408444777131081,
      0.0342670306563377,
      0.0260513480752707,
      0.0200406834483147,
      0.0278057903051376,
      0.0284386463463306,
      0.0175121426582336,
      0.0583483092486858,
      0.0626240894198418,
      0.0227063056081533,
      0.0226687341928482,
      0.0429950207471848,
      0.0367982238531113,
      0.0169403441250324,
      0.0168070178478956,
      0.0195920411497355,
      0.0122350417077541,
      0.0365005619823933,
      0.0442419834434986,
      0.025710716843605,
      0.0140013583004475,
      0.0096820080652833,
      0.00858054030686617,
      0.00713132973760366,
      0.0101908231154084,
      0.0400836654007435,
      0.0361744314432144,
      0.0132719026878476,
      0.0100537221878767,
      0.00843663327395916,
      0.00417967885732651,
      0.00523556489497423,
      0.0203660801053047,
      0.0272916629910469,
      0.0236375518143177,
      0.0350667648017406,
      0.0385670550167561,
      0.0260235164314508,
      0.0245287138968706,
      0.0276563987135887,
      0.025531342253089,
      0.0234043784439564,
      0.0208450444042683,
      0.0208096466958523,
      0.0225321669131517,
      0.0285010263323784,
      0.0317063890397549,
      0.0245325602591038,
      0.0186677947640419,
      0.0163193810731173,
      0.0154964132234454,
      0.0157097764313221,
      0.0194663684815168,
      0.0303606335073709,
      0.027081148698926,
      0.0166645515710115,
      0.0128128500655293,
      0.0112158097326756,
      0.0108054615557194,
      0.0143025554716587,
      0.0154838524758816,
      0.010315140709281,
      0.00667022820562124,
      0.0197223406285048,
      0.0248050112277269,
      0.0177490673959255,
      0.0128085063770413,
      0.0100171295925975,
      0.0117842750623822,
      0.0126982936635613,
      0.0139684369787574,
      0.0139773450791836,
      0.00975068751722574,
      0.0114278318360448,
      0.0169990323483944,
      0.0147916665300727,
      0.00902160443365574,
      0.00818494614213705,
      0.00883009936660528,
      0.00725845014676452,
      0.00529178651049733,
      0.0084987748414278,
      0.00996658764779568,
      0.00817247480154037,
      0.0082753412425518,
      0.0110841831192374,
      0.00867749843746424,
      0.00568602606654167,
      0.00427036359906197,
      0.00508485920727253,
      0.004909404553473,
      0.00567679619416595,
      0.00556742586195469,
      0.00271192635409534,
      0.00233956566080451,
      0.00368858501315117,
      0.00429890910163522,
      0.0030966664198786,
      0.00375044136308134,
      0.00359317380934954,
      0.00170934991911054,
      0.00164524826686829,
      0.00302351685240865,
      0.00269627245143056,
      0.00147989089600742,
      0.00295506394468248,
      0.00333543121814728,
      0.00163663108833134,
      0.00169519474729896,
      0.00228473381139338,
      0.00205467990599573,
      0.00126764748711139,
      0.00133815407752991,
      0.0016869860701263,
      0.00122737046331167,
      0.00105820200406015,
      0.00109229364898056,
      0.000847146497108042,
      0.000599758059252053,
      0.000600012252107263,
      0.000371068599633873,
      0.000194858337636106,
      0.000297867343761027,
      0.000325741712003946,
      0.000165521254530177,
      0.000106080718978774,
      0.0000733297929400578,
      0.0000632147493888624,
      0.000058950168750016,
      0.0000488531441078521,
      0.000048776750190882,
      0.0000470367704110686,
      0.00004578664447763,
      0.0000457649330201093,
      0.0000454205910500605,
      0.0000451347332273144,
      0.0000450634070148226,
      0.0000448640566901304,
      0.0000448137761850376,
      0.0000447989950771444,
      0.0000447996753791813,
      0.0000447842066932935,
      0.0000447895436082035,
      0.0000447895436082035,
      0.0000447895436082035,
      0.0000447895436082035,
      0.0000447895436082035,
      0.0000447895436082035,
      0.0000447895436082035,
      0.0000447895436082035,
      0.0000447895436082035,
      0.0000447895436082035,
      0.0000447895436082035,
      0.0000447895436082035,
      0.0000447895436082035,
      0.0000447895436082035,
      0.0000447895436082035,
      0.0000447895436082035,
      0.0000447895436082035,
      0.0000447895436082035,
      0.0000447895436082035,
      0.0000447895436082035,
      0.0000447895436082035,
      0.0000447895436082035,
      0.0000447895436082035,
      0.0000447895436082035,
      0.0000447895436082035,
      0.0000447895436082035,
      0.0000447895436082035,
      0.0000447895436082035,
      0.0000447895436082035,
      0.0000375571726181079
    ],
    "energy_curve_sub_bass": [
      0.0000594085637920683,
      0.0665328587627515,
      0.0000640037826404045,
      0.00000684708978447489,
      0.0897496854800856,
      0.0217972300895916,
      0.0000148346358386443,
      0.0437539171387822,
      0.0000194482234335735,
      0.000474901246543556,
      0.128032171140288,
      0.00247748115353097,
      0.0521681510094171,
      0.0160804208809058,
      0.000027312918552786,
      0.0545607089934539,
      0.0537375318621586,
      0.000169145367209544,
      0.0634161578329422,
      0.00098098345525433,
      0.00000878066421520391,
      0.0572435772225559,
      0.0227725899815753,
      0.0415363750175786,
      0.0672365626864887,
      0.0000852212815736882,
      0.00000673672134898961,
      0.0518440583917278,
      0.0000351015446725644,
      0.0000097601001891431,
      0.0432407311785198,
      0.0000209824309215644,
      0.0000137446594127194,
      0.114687077660447,
      0.00315156181930741,
      0.0434055789185324,
      0.0133543821426256,
      0.0000376481426784383,
      0.0562836352967292,
      0.0618738801404154,
      0.000162584340532629,
      0.0581858768741604,
      0.0594834827358591,
      0.0516290222510785,
      0.0405313748696894,
      0.0583576412660532,
      0.0538203577120396,
      0.129545207926263,
      0.21740099526754,
      0.188167805483192,
      0.191312777339217,
      0.172709816329073,
      0.171472368167903,
      0.180128131557819,
      0.103016683144202,
      0.154578888528816,
      0.146914297304666,
      0.0571023553373511,
      0.0800093849501429,
      0.192111226628039,
      0.0332684097132686,
      0.128398443279779,
      0.0961875377475107,
      0.00543578501049968,
      0.188754075650109,
      0.102688941069114,
      0.00558067478383065,
      0.220041655214046,
      0.0977513026038478,
      0.0450720476852824,
      0.24046004992715,
      0.0704068388536526,
      0.173185752581611,
      0.0649439959087966,
      0.0405709805557563,
      0.21939061382612,
      0.186399789667786,
      0.252658541872827,
      0.154573097596076,
      0.168636177152741,
      0.0206170245987508,
      0.188116360096129,
      0.201576756451503,
      0.0211140044291736,
      0.133063726877617,
      0.0608519964687254,
      0.08054113901673,
      0.203196889150477,
      0.0831161545617711,
      0.160128805603775,
      0.0650792582044902,
      0.0789012992241669,
      0.0659007109905345,
      0.068914703547112,
      0.0663760896613221,
      0.0884213628265424,
      0.244242167073728,
      0.0931552479384659,
      0.0885131408379936,
      0.0572999398378753,
      0.0975235747144453,
      0.189859749728115,
      0.140559376508135,
      0.0946487827394884,
      0.116581156077337,
      0.0590121777902226,
      0.143355525195529,
      0.28257927044676,
      0.241166171141553,
      0.327403824044864,
      0.183264667071522,
      0.100977643240994,
      0.147515016607602,
      0.213954969037576,
      0.184761432023289,
      0.216945967628127,
      0.0392551627242352,
      0.0586361819837003,
      0.0792239847004691,
      0.0484091320884104,
      0.0486026642206838,
      0.203859455547284,
      0.0454075826029701,
      0.194813100503268,
      0.136524245331767,
      0.108934697966537,
      0.0516349420328438,
      0.101482747455236,
      0.0576351640407251,
      0.188270576208109,
      0.271789077599985,
      0.0812132554988709,
      0.0195965064589245,
      0.138375875823097,
      0.0883719036252425,
      0.0797914155087817,
      0.20124482696637,
      0.218457661687967,
      0.235565932143586,
      0.123025855903084,
      0.154190917819248,
      0.166181907501321,
      0.106118221696122,
      0.0753616579298591,
      0.0969749684994469,
      0.083158394609429,
      0.0496240161151516,
      0.201601075454239,
      0.159708671996147,
      0.0120229875682665,
      0.165416074573586,
      0.238925449352861,
      0.00649925374603243,
      0.165422640844496,
      0.108258909662795,
      0.0335292627162206,
      0.148570192436422,
      0.0883974894172581,
      0.202977127693938,
      0.270256305372637,
      0.085592117143181,
      0.160745872909987,
      0.184014616296734,
      0.0368400305224919,
      0.19814106527126,
      0.0588543099519903,
      0.0691196968154881,
      0.273821123583367,
      0.130038093307032,
      0.30032333361038,
      0.182739721230805,
      0.223360626718173,
      0.0623554197178737,
      0.244477308999329,
      0.214917487474785,
      0.0975319922435505,
      0.198296354829517,
      0.0396021491828215,
      0.0948509593229866,
      0.193337733041524,
      0.0633857582824601,
      0.184465049148618,
      0.0568043723233527,
      0.0683841042855555,
      0.0883992688495471,
      0.0608222139897193,
      0.0502054907111931,
      0.110784965005073,
      0.245661985428006,
      0.144268498986344,
      0.135176719279932,
      0.0727866357453236,
      0.0914500366389792,
      0.244150801479234,
      0.119521589387388,
      0.0870343888726982,
      0.107422502483493,
      0.0596451014210954,
      0.222498283603807,
      0.246216714710323,
      0.133306760352261,
      0.0594236152878158,
      0.110218611324831,
      0.0921865501479849,
      0.164345008986455,
      0.2428406498606,
      0.216716205842812,
      0.251422027196613,
      0.0980700595109938,
      0.107487915059129,
      0.198832342280615,
      0.0392604041601603,
      0.095151067822343,
      0.134618217887376,
      0.112454802719372,
      0.152272818098003,
      0.206628457398793,
      0.0708889494328918,
      0.102126604825936,
      0.105579087159791,
      0.110785127994247,
      0.248095800149929,
      0.178193350964967,
      0.102543025185517,
      0.139738403954372,
      0.170621080691688,
      0.0501725372335317,
      0.200760049735866,
      0.220234810654476,
      0.168372744854973,
      0.147850675619062,
      0.153782393075496,
      0.250651667491106,
      0.177691775143975,
      0.11338627063615,
      0.124918511784089,
      0.148708411795667,
      0.142703984945771,
      0.105962059052453,
      0.199206282167048,
      0.118759654360576,
      0.0427239073255345,
      0.034468383712374,
      0.0418382954000742,
      0.0793556569841029,
      0.0482448001109074,
      0.056608225846843,
      0.119728739412445,
      0.0970545446351043,
      0.124491925334926,
      0.207582007679654,
      0.0589718457705031,
      0.0839173238325901,
      0.128584712090645,
      0.158483392532205,
      0.0730748673316006,
      0.131218540503011,
      0.0833306968568354,
      0.095260771170043,
      0.271701662771489,
      0.0665354429190113,
      0.194916845346104,
      0.151311020465674,
      0.108035098601032,
      0.0600366932053999,
      0.0423187511846748,
      0.0559520934057954,
      0.0512427912382524,
      0.0703871044956026,
      0.0482146166756854,
      0.069135030231399,
      0.0209654339229283,
      0.0391863609104665,
      0.164197744791675,
      0.0545356969122117,
      0.083026627157519,
      0.0600756404174801,
      0.0548632824497996,
      0.0820312973286045,
      0.0472597134971266,
      0.0633053611664963,
      0.0224468157499192,
      0.0255821482061212,
      0.0257006330627183,
      0.0395351109772234,
      0.173306048382802,
      0.103008213545881,
      0.0979784542991128,
      0.103404864952599,
      0.0661974940623144,
      0.195080676211204,
      0.236349649073874,
      0.266071681796891,
      0.276415741510227,
      0.15851426738841,
      0.111945903643225,
      0.209035795216087,
      0.206761428066,
      0.162237481594126,
      0.178927995228,
      0.0635258036838685,
      0.0687300577522794,
      0.0358055743761337,
      0.0464994853926382,
      0.095036438555061,
      0.155115677494105,
      0.119844730130911,
      0.119919994204796,
      0.131895256852418,
      0.108079144144278,
      0.0565859500785813,
      0.117877512059115,
      0.0476931048887252,
      0.197052186290449,
      0.28529196994429,
      0.0910562786204023,
      0.125251544600775,
      0.0636970371980632,
      0.144471645485479,
      0.162591259408085,
      0.208776798446043,
      0.0646297285163399,
      0.0855935312047237,
      0.0586951951466078,
      0.141000865610579,
      0.0824484464312258,
      0.0656113726495371,
      0.110488284587746,
      0.0887744541882075,
      0.19109217805466,
      0.196762676293893,
      0.148512682284691,
      0.245716749099706,
      0.252946353245993,
      0.168186673807868,
      0.112500794341681,
      0.0849017550777243,
      0.0946372577684099,
      0.0488193055335873,
      0.0494854046489929,
      0.1355300772253,
      0.000155771307665185,
      0.0265417944307414,
      0.194434025757456,
      0.148378609605117,
      0.225159310981365,
      0.0822621112183991,
      0.081122832944812,
      0.0488217957919047,
      0.043093883041972,
      0.0878490772548173,
      0.16879438002936,
      0.0385469021638164,
      0.0937905838630649,
      0.163806466303803,
      0.0809433372013505,
      0.0853622401237273,
      0.102009649866829,
      0.0664345305616569,
      0.263604848353123,
      0.275152334242054,
      0.16167712230984,
      0.0438990582082188,
      0.0883243496476753,
      0.0603524863028836,
      0.191664014536685,
      0.204919261470298,
      0.146824567934092,
      0.202841801880243,
      0.0776670794059256,
      0.17902138222049,
      0.157188907652788,
      0.0831249062420778,
      0.137846914230474,
      0.133547030082254,
      0.193839469596575,
      0.0435877445918586,
      0.144328412829254,
      0.0985280390064216,
      0.106589427356551,
      0.124204446026095,
      0.0624236424091002,
      0.255891417904065,
      0.185180551492418,
      0.0938058611975979,
      0.0544646948550913,
      0.137126532847292,
      0.0636561056887825,
      0.195612394232441,
      0.186307030507438,
      0.167380383933515,
      0.164859601424599,
      0.0536919165567882,
      0.104310935244835,
      0.116008403405301,
      0.0533216386063548,
      0.0448989216732472,
      0.115862460064142,
      0.0508262323388183,
      0.0843397350357657,
      0.141902330171914,
      0.0993240229366684,
      0.0877532014089937,
      0.131055974456546,
      0.0533695580987087,
      0.137299619047311,
      0.181573698817803,
      0.0739596897619749,
      0.0326304490136095,
      0.180270384563875,
      0.128249092605616,
      0.145021768253721,
      0.125715421730752,
      0.0924242116532188,
      0.07609786706268,
      0.0811765668098418,
      0.0644633884532438,
      0.0692307931173394,
      0.0538985237265448,
      0.0484780128412762,
      0.111886769449317,
      0.0639516648413079,
      0.0229221904917517,
      0.0382288642268147,
      0.0241667432240929,
      0.0144487776431606,
      0.0114756976037931,
      0.0110794495633054,
      0.0106184630661039,
      0.00480740655184535,
      0.00309601533345835,
      0.00307508890518774,
      0.000576684028975399,
      0.00087503002496763,
      0.00097326713781354,
      0.000569468121720888,
      0.000490690841985074,
      0.000122722637534517,
      0.0000921979258207869,
      0.0000312340531622807,
      0.000016704766839063,
      6.39445002911276e-7,
      2.65116373792735e-8,
      2.51170044395569e-8,
      2.51651179284485e-8,
      2.51651179284485e-8,
      2.43109571055999e-8
    ],
    "energy_curve_low_mid": [
      0.0147329270471112,
      0.0446389044920063,
      0.0247215708155039,
      0.0430104187546433,
      0.0882957056802261,
      0.0308842214454778,
      0.0329569422926567,
      0.0724655510255597,
      0.0467457601388536,
      0.0339454583518105,
      0.0528799552204032,
      0.00112104578975923,
      0.0213259466762886,
      0.0710453882848918,
      0.0123033219759026,
      0.0437180514982796,
      0.0576732541513325,
      0.0429303438311288,
      0.0295863040071721,
      0.0532985058859171,
      0.0109050640204764,
      0.0527226723314237,
      0.0356900001214691,
      0.0368209429334891,
      0.0319837248971877,
      0.00782994638736054,
      0.0224554775280437,
      0.0803192758539245,
      0.0304515580179567,
      0.0269222675448634,
      0.0759367707648071,
      0.0304363698831094,
      0.0252601850214069,
      0.0598157670210079,
      0.0011849734762209,
      0.0245215893078734,
      0.0472032321868725,
      0.0425043127236307,
      0.0565154392692222,
      0.0401590770994839,
      0.0184148396180823,
      0.034845759425371,
      0.0314324908479406,
      0.0279519968160072,
      0.101286008439118,
      0.0468761902353281,
      0.0415170973902104,
      0.109150427154359,
      0.171932262265028,
      0.2365461079183,
      0.295937302065692,
      0.300062866083661,
      0.341977928249407,
      0.331019427492524,
      0.248935210992291,
      0.321385086259951,
      0.0795075987530798,
      0.0535786633142172,
      0.0794272693990305,
      0.088712081376922,
      0.0823790374492788,
      0.217655012376759,
      0.146042335110276,
      0.0166746715560465,
      0.193939929222798,
      0.172160627669517,
      0.0406233526171085,
      0.0788218788585661,
      0.0644758263156451,
      0.0650697605735348,
      0.0494741505878101,
      0.0502100925575584,
      0.0884884814407942,
      0.101786312929093,
      0.168051838123081,
      0.0948971052624094,
      0.129399597583123,
      0.0987635569442814,
      0.0697446808602156,
      0.0722206332622064,
      0.0437519153505263,
      0.140381989826301,
      0.127289658726347,
      0.0610767096602983,
      0.198537589402814,
      0.170748539193453,
      0.101615399092769,
      0.17548914758756,
      0.128105922870284,
      0.257839858926853,
      0.0967111162901821,
      0.187846224506226,
      0.127886657556482,
      0.0984539865967378,
      0.135685939134376,
      0.183100399327382,
      0.0888268769268803,
      0.0818319885197367,
      0.0937861070561561,
      0.198858001155542,
      0.266293747203188,
      0.209783251070346,
      0.181883909325235,
      0.152556181762999,
      0.179977361490903,
      0.109271779407079,
      0.0769483687193267,
      0.112969066513015,
      0.0755971826966693,
      0.170146547527327,
      0.0852076006681385,
      0.110665268288614,
      0.146140162378802,
      0.15132848869592,
      0.0967782330588208,
      0.0759434210058552,
      0.109164343369229,
      0.129509275904024,
      0.108373071529465,
      0.124482968111066,
      0.118225438724225,
      0.0737838601720651,
      0.0818688445566467,
      0.154360609858139,
      0.192268753905837,
      0.146164623433183,
      0.0846516974454799,
      0.148248720992114,
      0.0947320274190381,
      0.0839994365744915,
      0.0891050874799083,
      0.146629808747469,
      0.2076054676157,
      0.221143782699358,
      0.0613065302075343,
      0.165839894003354,
      0.0628500673909415,
      0.126898488671665,
      0.140897115011329,
      0.0617957088212308,
      0.0947828017120528,
      0.10396848586952,
      0.14236007630275,
      0.120644896242435,
      0.275302605404936,
      0.381608765336526,
      0.472917853584822,
      0.10278816292687,
      0.0987268324024162,
      0.0472461305359289,
      0.118986537556483,
      0.100595331618717,
      0.020177522473277,
      0.201556678487395,
      0.184568773469181,
      0.0333434694832115,
      0.152993192434297,
      0.159482324521512,
      0.0801264174880244,
      0.0671525461250926,
      0.0341560832469244,
      0.0488478394585702,
      0.0641231211729683,
      0.0591437601462958,
      0.11129880275281,
      0.0951402690096782,
      0.13225774841198,
      0.0834813179488722,
      0.109137250672262,
      0.0841933788098697,
      0.14890381495813,
      0.116605595189737,
      0.0454644234930515,
      0.198628412101839,
      0.115442876612493,
      0.0474785767257334,
      0.127311378941634,
      0.0963683078486551,
      0.138024067713505,
      0.204037428148887,
      0.18455380172274,
      0.264269091324044,
      0.156098405248015,
      0.181540186476069,
      0.149105746772322,
      0.0861998510673763,
      0.0962707598471592,
      0.109119169528218,
      0.0974952305445668,
      0.137096927472536,
      0.141806680820816,
      0.285923497400275,
      0.341119902495589,
      0.230767843655033,
      0.153531101011595,
      0.155042455664702,
      0.121860633441711,
      0.0856972362815307,
      0.0613681253277824,
      0.0510344257800852,
      0.182840965407136,
      0.241001477218863,
      0.181878547070623,
      0.165610864461941,
      0.178204840477761,
      0.104280820700628,
      0.120757714719683,
      0.139837526556699,
      0.0818421313393478,
      0.170697149650869,
      0.100448493146364,
      0.121447136757682,
      0.115480647702349,
      0.074910007852709,
      0.0815057442680235,
      0.0687429121816395,
      0.226754169105329,
      0.0998459140809795,
      0.17425713220388,
      0.0935801796441919,
      0.0696172389544889,
      0.0618401202967592,
      0.0356916609751679,
      0.294177623042912,
      0.229965501600496,
      0.0473466581222185,
      0.173929979427682,
      0.151898086569038,
      0.100333367583157,
      0.120304763832962,
      0.124057791055358,
      0.139013273783303,
      0.0945132592645642,
      0.20228316387387,
      0.186275452886747,
      0.212528161502416,
      0.251543209087125,
      0.363332904640912,
      0.31671187364068,
      0.141721709775552,
      0.084059503007757,
      0.129037936183568,
      0.115291716284287,
      0.166196871808838,
      0.105122863737791,
      0.163704886141617,
      0.0938829037861637,
      0.170787633970925,
      0.190399588145374,
      0.136415856592073,
      0.0813146907895249,
      0.0309792344108734,
      0.0606675703835403,
      0.0510822664880458,
      0.107804080125373,
      0.0604486996784598,
      0.175194847353617,
      0.143323935185042,
      0.113998245735766,
      0.111924026332567,
      0.295186421911788,
      0.206858392141677,
      0.107360402043154,
      0.086847525492224,
      0.101877972735094,
      0.113440332068313,
      0.157388954492688,
      0.084379524765355,
      0.211369550731315,
      0.0866248138896479,
      0.0762151941549908,
      0.203381402258553,
      0.156457408508157,
      0.244429933618365,
      0.266597674869502,
      0.207646659415364,
      0.325516236964201,
      0.222109249193367,
      0.297344073131276,
      0.203968154824441,
      0.166193497350989,
      0.121276907255983,
      0.101182010920492,
      0.216693237846252,
      0.193247127984062,
      0.240892270693058,
      0.0949662645609205,
      0.13352901755096,
      0.095956520933622,
      0.118578267712285,
      0.128816484018028,
      0.0805424053218793,
      0.0891354005653271,
      0.126178345194255,
      0.0597618563693932,
      0.135868101725137,
      0.174209295151268,
      0.100072677912397,
      0.101181905053657,
      0.117842141705129,
      0.135338270364564,
      0.158200816387159,
      0.147059114396113,
      0.136337915788354,
      0.1446795839858,
      0.106698345063677,
      0.079038993798188,
      0.138524749740296,
      0.237944587400068,
      0.153639393191447,
      0.139347858825111,
      0.123086866225554,
      0.108448792705627,
      0.0941750692862163,
      0.122215317622698,
      0.242082611987692,
      0.106236279388347,
      0.240215780143125,
      0.11838036594656,
      0.277372192958868,
      0.122004007236988,
      0.0769091462665736,
      0.0869155390595416,
      0.125669800140697,
      0.102487450980242,
      0.104030074039219,
      0.15208520870153,
      0.116608771424021,
      0.114817837659572,
      0.120609811912268,
      0.0685372241820275,
      0.122120838814993,
      0.192881872301772,
      0.189174575673432,
      0.216037810591259,
      0.242409850080158,
      0.164885926816802,
      0.302978693785299,
      0.172829755392171,
      0.169286266044659,
      0.261306644428165,
      0.0870158968260357,
      0.0641574417603824,
      0.187006022860044,
      0.0992063358279586,
      0.196917729334082,
      0.193504167879586,
      0.227965453162474,
      0.186473645538236,
      0.1687613007854,
      0.180561369415486,
      0.231580481295387,
      0.322837793828279,
      0.393107942106935,
      0.225304212004792,
      0.105831784757847,
      0.155376064359296,
      0.141935684956562,
      0.0722486077517487,
      0.0753061055632695,
      0.0637550827307899,
      0.166298589590812,
      0.139839023082429,
      0.166892829239842,
      0.160764902676429,
      0.109935566965637,
      0.0977556333213877,
      0.0855465841887351,
      0.107387329744428,
      0.120846067893004,
      0.11085019983684,
      0.132105044653323,
      0.116327745698675,
      0.146494888663151,
      0.109188586029405,
      0.138139368789142,
      0.451068571389402,
      0.233550328639208,
      0.128316697389105,
      0.172227527641066,
      0.120829951885992,
      0.122437117226166,
      0.0805283183904964,
      0.215678349223664,
      0.137588369963223,
      0.135494912952268,
      0.163359216355415,
      0.219001424260891,
      0.236101124269827,
      0.0942007484866224,
      0.183190694013416,
      0.163682608604206,
      0.182253421809424,
      0.175658049863274,
      0.366909260641553,
      0.225673634852628,
      0.226316868518958,
      0.313790183363671,
      0.354293161064134,
      0.257115063740565,
      0.193655761189206,
      0.117828636511201,
      0.1482569899545,
      0.139177584994018,
      0.0954474336736845,
      0.0387427868249348,
      0.047307605392571,
      0.148115330568901,
      0.233511040048347,
      0.185276598307313,
      0.0775941542006522,
      0.081495662763001,
      0.0926398184694225,
      0.094638243894091,
      0.104004265233848,
      0.109228972353527,
      0.0729840844671519,
      0.152404519603969,
      0.0841343766467595,
      0.0760530030227921,
      0.0418296832492798,
      0.0782051457123081,
      0.101176469680024,
      0.0660981688126253,
      0.0255610664293549,
      0.0278287681055813,
      0.0123771065045976,
      0.0118097790804158,
      0.00970355140214396,
      0.00952728752868519,
      0.00511302986644762,
      0.00190417929203245,
      0.000575330791195629,
      0.00112889049611944,
      0.00125871020880911,
      0.000525153915099427,
      0.000662046900298388,
      0.000380749551130854,
      0.000201502765966149,
      0.0000296795991682092,
      0.0000126683198475735,
      0.00000308835318544119,
      3.08584641771393e-8,
      1.34131594846731e-11,
      2.30425688119346e-41,
      2.30425688119346e-41,
      1.27016240430479e-11
    ],
    "energy_curve_mid": [
      0.0347825358731235,
      0.0464110044558083,
      0.0382659713586419,
      0.00929792921943563,
      0.0202526203620218,
      0.0336176281993583,
      0.0288114148487203,
      0.0115361148903002,
      0.0166991238398311,
      0.00390875712882921,
      0.00157131856636311,
      0.000979941841415165,
      0.00065778226675117,
      0.0166879931396045,
      0.143326269622817,
      0.0191559074116667,
      0.00466577368504234,
      0.00908520938939469,
      0.000591706944622084,
      0.0330101092950525,
      0.0639819679086576,
      0.0988787195656474,
      0.0594643613685473,
      0.024994442392819,
      0.0149269581430092,
      0.0246735301888443,
      0.00848340143639487,
      0.0237348762394124,
      0.0340862677995419,
      0.0338153037569796,
      0.00943355252909119,
      0.0215995294676269,
      0.00410620403652643,
      0.00226724831789661,
      0.00213598828499445,
      0.000984967186488392,
      0.0140479989308067,
      0.108201253604756,
      0.0388020087652466,
      0.00203046023111654,
      0.00300185746054998,
      0.024181768022844,
      0.0316476887242837,
      0.0425000492997749,
      0.0374105867334035,
      0.00442077518504382,
      0.00218893387055426,
      0.00188489176252426,
      0.00335158095885819,
      0.00457487017603821,
      0.0100482786109243,
      0.0122932934936217,
      0.0194453413664462,
      0.03508957131028,
      0.0842679174351602,
      0.0637024023691959,
      0.523299949032228,
      0.43755243874375,
      0.4526757525199,
      0.258828842142954,
      0.0273808672745189,
      0.0989147781966578,
      0.113422084716316,
      0.0787335861813953,
      0.00127107318745783,
      0.0653618699755119,
      0.0999464081185701,
      0.0485954090986556,
      0.00604213764882806,
      0.034223210159451,
      0.015137575902308,
      0.0189807958743541,
      0.0445750297546205,
      0.194066966957402,
      0.058681643784454,
      0.11718354590867,
      0.015563818898774,
      0.132564562297614,
      0.353718054898189,
      0.331554095646935,
      0.419147767215004,
      0.0830615217341998,
      0.0260189304179417,
      0.0350799778036655,
      0.102628780790707,
      0.0207610720596923,
      0.0206516214195012,
      0.0182476283127895,
      0.0100610627046792,
      0.0112523133088779,
      0.189744584802635,
      0.069084398826044,
      0.0564315489305442,
      0.0828743156766054,
      0.121497468422365,
      0.0674146911345985,
      0.0722412989910237,
      0.655987728764803,
      0.507674536541681,
      0.429996118121604,
      0.275754081338619,
      0.131195263680307,
      0.167731399401159,
      0.0671932804320138,
      0.0614816807217846,
      0.0579884931569341,
      0.104424596313956,
      0.0425257788916836,
      0.0810619096306023,
      0.0222531617556687,
      0.0252143247629559,
      0.0317279278666021,
      0.0150889537992369,
      0.0767419740368065,
      0.245141439379471,
      0.15240870878012,
      0.0766714602398546,
      0.116964505431308,
      0.0323482226100053,
      0.12067736210014,
      0.251267780835968,
      0.316595122431752,
      0.215630001814675,
      0.101007237561107,
      0.128927084600811,
      0.162865897179925,
      0.0739172858243633,
      0.069500578395214,
      0.0749978442047013,
      0.111338956805085,
      0.0666851694192734,
      0.126929318249679,
      0.0378043784307625,
      0.0295559433200588,
      0.0353165423476922,
      0.36803425108965,
      0.187113502004227,
      0.161036634860997,
      0.167166448868494,
      0.286723682736556,
      0.0608849201449981,
      0.196919167900872,
      0.0497273538613129,
      0.238747922369355,
      0.0944497743521741,
      0.0319247285991906,
      0.0528190637934724,
      0.0833093365443338,
      0.132913016684276,
      0.0619982820083163,
      0.104311737325997,
      0.0743811502178652,
      0.162768867759123,
      0.0578560346265953,
      0.0466554876331622,
      0.0375974121626842,
      0.0766561277092715,
      0.0420501191320642,
      0.0102265765355422,
      0.002266681602931,
      0.022040532514325,
      0.00401928063799308,
      0.0231526987384315,
      0.0503464967976866,
      0.0299001965983708,
      0.0875571472741551,
      0.0878134261296047,
      0.0644007165537369,
      0.0278675448748251,
      0.0710586687723314,
      0.0298315878802278,
      0.0527477247543008,
      0.043829569143836,
      0.0115024217846911,
      0.0250242621583365,
      0.0296574983394665,
      0.0179944407635371,
      0.0352313475076553,
      0.0104333816628528,
      0.00210507224304693,
      0.0167707331539519,
      0.0267482462027402,
      0.0704562957950397,
      0.071067964601784,
      0.0570433531324125,
      0.0844755580741024,
      0.134176779514526,
      0.0944469674587116,
      0.0301913792334944,
      0.058115541415999,
      0.107229087477785,
      0.104032514506703,
      0.115753542952246,
      0.065649416895873,
      0.121518364235891,
      0.095582781811631,
      0.0657010772700076,
      0.0955848203861306,
      0.0464259318524478,
      0.0293778689741762,
      0.0453352102847097,
      0.0131561546671533,
      0.00680907722286054,
      0.0355226687591304,
      0.0581767162782509,
      0.0191731251304359,
      0.0428437111512795,
      0.0293475782698954,
      0.0874985821265215,
      0.0655929703626667,
      0.102644458880698,
      0.0922796357684619,
      0.11736366154222,
      0.118369022630688,
      0.140596808830504,
      0.0876475325848745,
      0.0478976161617369,
      0.0869418753080299,
      0.068290554522959,
      0.0814285637449274,
      0.124959505708476,
      0.0690789662930481,
      0.0615451434936968,
      0.0664235042946305,
      0.0249323981940946,
      0.00758382300433503,
      0.0283158542701272,
      0.0461945834153395,
      0.0237958570494558,
      0.0797638802129029,
      0.0719096789695794,
      0.0614098551515559,
      0.0741265664547344,
      0.0270289456602032,
      0.0517668896346703,
      0.0458682872776646,
      0.048851532960279,
      0.110608352439301,
      0.158823388413076,
      0.331564366428176,
      0.478596862495272,
      0.422450201841781,
      0.400233045174568,
      0.275672923453251,
      0.184642440103374,
      0.117203345314351,
      0.17092216928422,
      0.119318450547282,
      0.231449648990306,
      0.265814905000839,
      0.141426064685594,
      0.500589740428851,
      0.513182832341234,
      0.327716002475359,
      0.0587443104802594,
      0.350562661012701,
      0.172903138774997,
      0.0918904528711266,
      0.12662474456574,
      0.0549478694832543,
      0.0715737349487269,
      0.0493692276394705,
      0.431844386561113,
      0.578459051876075,
      0.644723068742635,
      0.597240587372207,
      0.254017497738279,
      0.261063885209811,
      0.0918085907017226,
      0.252879335326276,
      0.00510882280386936,
      0.220036952966535,
      0.305663099440013,
      0.0978429340753307,
      0.0604109187251394,
      0.0426085727092751,
      0.130305924153173,
      0.172485945195285,
      0.0914312294880122,
      0.135040018412897,
      0.329376089113408,
      0.651458470796728,
      0.298198699972386,
      0.44261178217335,
      0.272277881175459,
      0.110333808617386,
      0.308873651284485,
      0.145910403609752,
      0.108476742641722,
      0.200748150844713,
      0.080119354679842,
      0.0848210498313408,
      0.097164224295425,
      0.0265622836637195,
      0.0175907285061369,
      0.0445558087713391,
      0.0557242573929184,
      0.0992349990254843,
      0.348370926092378,
      0.140620793745158,
      0.0618664198779367,
      0.0895973098734148,
      0.0484121286781283,
      0.207517395253329,
      0.235243445736944,
      0.274713998263248,
      0.196434693484816,
      0.12188406470231,
      0.0800031790910922,
      0.20469873816103,
      0.145411534110746,
      0.113241018509765,
      0.14410366496484,
      0.073721801560971,
      0.0726860035463624,
      0.0687382219821501,
      0.0456481252718303,
      0.0213301708006227,
      0.0352589079988357,
      0.0475342027617505,
      0.0606065477945199,
      0.0976044394883321,
      0.0662816223676105,
      0.00878133006370736,
      0.0161968715728792,
      0.0180292913265208,
      0.053824910039246,
      0.0705573189593777,
      0.174127972365436,
      0.0343948683851458,
      0.0728712437159759,
      0.0984185184626457,
      0.0580521834312722,
      0.066617078759412,
      0.0339520588219039,
      0.0192329095444829,
      0.135716044933311,
      0.0365760740737952,
      0.338970950730409,
      0.328784268973423,
      0.0233920487358442,
      0.0702906903637226,
      0.422167633609196,
      0.0630411487786001,
      0.387706262289383,
      0.115410176195203,
      0.0389321311753281,
      0.070486128801852,
      0.0434678413042985,
      0.230528023485938,
      0.21834598702131,
      0.175574703987327,
      0.21216130302127,
      0.242476593828227,
      0.156065866897458,
      0.41155236479254,
      0.303174984695377,
      0.218665617390212,
      0.420606888248263,
      0.0924632127718513,
      0.158313731586545,
      0.120543330269833,
      0.222048750226498,
      0.271322928668867,
      0.288231792106694,
      0.277651718145035,
      0.179862203789958,
      0.381917099047727,
      0.415543388245121,
      0.278324020751753,
      0.0401378760721671,
      0.347216962048467,
      0.253039091889815,
      0.404746545210373,
      0.167896200837529,
      0.278131167094973,
      0.253732318229962,
      0.179244324799597,
      0.1218680665551,
      0.0601031321246904,
      0.128609818918765,
      0.117558883643807,
      0.114952086726219,
      0.0603615296395823,
      0.0752151274728177,
      0.0396312966459029,
      0.0328957861003535,
      0.251136632980538,
      0.105057341296943,
      0.231548498020265,
      0.256826490023354,
      0.236447903745875,
      0.311843527984094,
      0.191382225475194,
      0.166635867750155,
      0.321710062907706,
      0.182189247149885,
      0.258736425345586,
      0.163766062450329,
      0.162068778832197,
      0.177845570452655,
      0.222340130586072,
      0.0799133355252433,
      0.0781721935038009,
      0.210058246994536,
      0.432783068131556,
      0.486789917462648,
      0.395167476270189,
      0.151299190472564,
      0.0731116357895484,
      0.220096331703837,
      0.300866558955334,
      0.300325251570703,
      0.266712954731849,
      0.23611701509061,
      0.113340222858357,
      0.230823457153972,
      0.0603667552334819,
      0.039731349985105,
      0.0236491553875412,
      0.130482599254207,
      0.0966808188352351,
      0.052851017731251,
      0.0118632254938823,
      0.0100621438081947,
      0.00806603265420822,
      0.0102607532049684,
      0.0073330708399384,
      0.00313839288395265,
      0.00154242680379748,
      0.00100199054844309,
      0.000307952738804563,
      0.00173978074614244,
      0.00380586698077371,
      0.0022565972842027,
      0.000618012892736309,
      0.0000786294195007583,
      0.0000795261155842283,
      0.0000128607573125013,
      0.00000867750740008396,
      0.00000237909476955859,
      1.85513745117382e-7,
      2.0135081719793e-9,
      5.27942024186221e-11,
      1.77966880965802e-40,
      1.77966880965802e-40,
      3.23891809296996e-12
    ],
    "energy_curve_high": [
      0.00173460576361002,
      0.00289681870924466,
      0.00965649286458948,
      0.00128210211009602,
      0.00139910994486086,
      0.00924883905267428,
      0.00358423335497268,
      0.00046622827663753,
      0.00826363723587421,
      0.000315868621935977,
      0.000423748763933917,
      0.0120689502812303,
      0.00122483912344367,
      0.00123814209248135,
      0.00930398830441602,
      0.000843120058759128,
      0.000346134016706735,
      0.0105988142255772,
      0.000279236631210319,
      0.00169299655320254,
      0.00839282693553041,
      0.00245848948791458,
      0.0274688354214181,
      0.0103519418219798,
      0.00657388659752297,
      0.0115212474100658,
      0.00455412352479122,
      0.00626019576477222,
      0.012765468083755,
      0.00213754622844658,
      0.000592678579285836,
      0.00939283934540501,
      0.000369015890002814,
      0.000329974058325514,
      0.0119626040250189,
      0.00118201933131179,
      0.0225148059769524,
      0.0436074084342049,
      0.00391593809610429,
      0.00123172101964075,
      0.010117595691099,
      0.000336473752254219,
      0.00415912303235778,
      0.035635790357874,
      0.0898642548638406,
      0.00729791106342374,
      0.00726335624989844,
      0.00836074527092876,
      0.0118062355167718,
      0.0207719557062887,
      0.0285042409960276,
      0.0388438044365594,
      0.0358033152535586,
      0.04134126535621,
      0.0963408401703128,
      0.0535862753806649,
      0.0701168921166477,
      0.115604266947354,
      0.0785073969826291,
      0.0158483834820379,
      0.0366001917886166,
      0.0137809251911092,
      0.0254401038670249,
      0.0202339480573494,
      0.00479140177327911,
      0.0451490857686767,
      0.0521121256585201,
      0.00981333180249437,
      0.0292368099544576,
      0.0114944561483002,
      0.00580775930035079,
      0.0363895654438479,
      0.0758449896149508,
      0.0394528219992893,
      0.0621965461605144,
      0.116773153853733,
      0.0341206055299163,
      0.0712074972469813,
      0.0769771634820935,
      0.0401049070772742,
      0.057584082511437,
      0.00577848314969489,
      0.0285510766209806,
      0.0103647109235271,
      0.0106068705064391,
      0.031715457374429,
      0.0138803829483787,
      0.00842744114823418,
      0.0324727702824823,
      0.0199360732119284,
      0.0705004782307944,
      0.046022419195096,
      0.0390622764720986,
      0.0929569540899581,
      0.0523298615868739,
      0.0492271257709447,
      0.132302718394152,
      0.129654055414597,
      0.136030681774342,
      0.115971732131264,
      0.0846279393721475,
      0.072398559552913,
      0.0584448753407437,
      0.0405635534547685,
      0.0165665453481983,
      0.0418573097725541,
      0.0166908270705413,
      0.00754662791908139,
      0.0224581194390568,
      0.00561257317290225,
      0.0113799973606572,
      0.0401193842550701,
      0.00670443683660533,
      0.0201656132542275,
      0.0964734026977571,
      0.0191215747037432,
      0.0620660153083206,
      0.0804340097171252,
      0.0135193536068471,
      0.0695756770276373,
      0.111489905122938,
      0.038723188135213,
      0.249089803706138,
      0.0713490334861174,
      0.0367638213148407,
      0.049039692977939,
      0.0192801590907591,
      0.0152769668104894,
      0.0357668956173689,
      0.03033519243087,
      0.0170770064170574,
      0.0581095545862086,
      0.010880161109669,
      0.00961679096294691,
      0.0368331250928161,
      0.0176639011147644,
      0.0527688157991404,
      0.0852660611459712,
      0.0580571697275089,
      0.0664039088373703,
      0.0758539227182681,
      0.0451738025433176,
      0.0205957022637422,
      0.0390473158159699,
      0.0683149903711057,
      0.0295797578880836,
      0.083569911558235,
      0.0674492256330887,
      0.114804275196555,
      0.0675083217927048,
      0.0222782771222187,
      0.0460857061775995,
      0.0774227890355424,
      0.0247576826440751,
      0.0499868828741131,
      0.0172656317293992,
      0.0406902350000448,
      0.0385676467845522,
      0.0108410025381897,
      0.00800255012519731,
      0.0281221575895017,
      0.0176516569930983,
      0.00857603793365435,
      0.0429839993494163,
      0.0187682247638348,
      0.041976731029428,
      0.0682230131333127,
      0.0224922733677344,
      0.0354840886199383,
      0.0438157601618081,
      0.0338592026446379,
      0.0407439064615617,
      0.0159686010622655,
      0.00681551952691093,
      0.0377257236329243,
      0.011003054218455,
      0.0116230183304951,
      0.0385008756732413,
      0.0155923965773773,
      0.00867681270370127,
      0.0454393999131238,
      0.0376461269293439,
      0.0802055512297945,
      0.0984505100584362,
      0.027349315971697,
      0.176847071965516,
      0.199534576710728,
      0.0518653685845752,
      0.00940777659567721,
      0.141018651326526,
      0.143276160829983,
      0.118731468954558,
      0.106648908463305,
      0.0815608593046592,
      0.0669589438178278,
      0.0539510435024222,
      0.0383694230132803,
      0.0544956548882095,
      0.0113293334643129,
      0.00991429987118729,
      0.0298109263196905,
      0.00786813678483288,
      0.00707623330572313,
      0.0562527416702534,
      0.0170820072150984,
      0.00788917317554886,
      0.0544999916019635,
      0.00836253676832703,
      0.0408701442481218,
      0.0456965892531355,
      0.079730880527471,
      0.109436139062842,
      0.366619075235118,
      0.176830507208429,
      0.146287103325494,
      0.0707634587723779,
      0.0396550338538064,
      0.114759528005283,
      0.0484338328135761,
      0.129351360157352,
      0.0714288608799763,
      0.0299008230924821,
      0.0414182565486157,
      0.0458141415119527,
      0.00800787022306147,
      0.00771545826778491,
      0.0631180544436367,
      0.0107251236675637,
      0.013722545081664,
      0.100954291478219,
      0.023924737068077,
      0.0221946323154685,
      0.026437753237653,
      0.00833703943698559,
      0.0462903633401141,
      0.0272719038671697,
      0.0573409265545454,
      0.0446815056071794,
      0.116375536736312,
      0.236453410868067,
      0.292237202284147,
      0.553937666382987,
      0.171160072702302,
      0.14963857519008,
      0.0461814956938309,
      0.0919146972445021,
      0.0759657199065844,
      0.0442143197343849,
      0.0208041236296472,
      0.142361464544703,
      0.0785152987710021,
      0.151012469814867,
      0.133176430050939,
      0.0878443758038614,
      0.0705268129980524,
      0.0812230476272423,
      0.133516880643145,
      0.123119536681946,
      0.0685060089322069,
      0.102582740329132,
      0.0736805267337011,
      0.100251658761334,
      0.092721389912809,
      0.10331096263937,
      0.170908726032282,
      0.143368031987293,
      0.0811544893252265,
      0.0698156353973822,
      0.050395065463406,
      0.051208091588482,
      0.00791956369295783,
      0.158069819689328,
      0.316555947943487,
      0.0870241200148456,
      0.0223940050491346,
      0.103810573289675,
      0.0392065779940872,
      0.113395100534593,
      0.055386905705615,
      0.0450435267388842,
      0.0653899546900979,
      0.080295516105317,
      0.0642137079141257,
      0.189509803310987,
      0.139103570878222,
      0.0689320693736014,
      0.14561568539804,
      0.116731623815496,
      0.068976973468301,
      0.0437115983857454,
      0.01373442079663,
      0.013736271865377,
      0.0238030100639673,
      0.0109010947842703,
      0.00972784275328223,
      0.0460398955797255,
      0.0109891123484367,
      0.0143165958025052,
      0.0868191489465256,
      0.0295738484445845,
      0.0338222046984511,
      0.0878617437104467,
      0.0182276419394232,
      0.125101208776387,
      0.0884390283602364,
      0.0577420406345868,
      0.200482701425409,
      0.0858877666803189,
      0.0760645756074845,
      0.124290605256001,
      0.0747556383640738,
      0.0253028282954477,
      0.0478011335768881,
      0.02910371046961,
      0.023313396254306,
      0.0327958744669359,
      0.017708014091257,
      0.0265156111425534,
      0.0732973681985966,
      0.0721788640414341,
      0.00928662696531741,
      0.00970848733310849,
      0.00630232041410295,
      0.0057268677063406,
      0.00570282394572022,
      0.00502025371235735,
      0.0304864747269643,
      0.011965663972862,
      0.0271415647524592,
      0.0544667976199923,
      0.0275642747379315,
      0.0335710126759329,
      0.0155007780592087,
      0.0183010736127667,
      0.0254929502786793,
      0.0306056569770672,
      0.0324120983428791,
      0.0668542838029252,
      0.057873631157854,
      0.0862063155646415,
      0.0372530618874944,
      0.066282510501398,
      0.15210990016119,
      0.048572994032107,
      0.097845437818643,
      0.0400184327140471,
      0.0604589594274246,
      0.10509547469358,
      0.07585076941097,
      0.138661795782981,
      0.0988407097315115,
      0.11987976686525,
      0.11315062271639,
      0.0579240359858048,
      0.0707873446716492,
      0.188100686316421,
      0.117215214063243,
      0.117110711815471,
      0.127043297935997,
      0.0285349916673555,
      0.0411527843487994,
      0.0558227073450781,
      0.046642265780857,
      0.0940585526553853,
      0.124106416183018,
      0.0653438350556093,
      0.0929491378834759,
      0.150825928310227,
      0.0465434013200504,
      0.0467031820621989,
      0.0540774432126668,
      0.0401589752405216,
      0.082791504741391,
      0.186839142914637,
      0.0350777617890171,
      0.0903633650721696,
      0.0530663932075771,
      0.0419229282171598,
      0.0638555148263108,
      0.0499001000508041,
      0.0219390880562681,
      0.0617097659207387,
      0.0246521684046006,
      0.0345974301212621,
      0.0459531334175186,
      0.0432046312688575,
      0.0519936151326595,
      0.112428280551981,
      0.055680358373252,
      0.0789941881715141,
      0.0585986921619025,
      0.0642132809562548,
      0.154918712159987,
      0.0883833797043168,
      0.0419171805520722,
      0.0815412203185893,
      0.0715533421564837,
      0.060599050478913,
      0.110096063787622,
      0.041415103666087,
      0.116004216399262,
      0.124105595996067,
      0.117694717416738,
      0.0713506216029722,
      0.0814994739342964,
      0.0418684454611536,
      0.116591953531215,
      0.21870629362097,
      0.0574232771836117,
      0.095191567968759,
      0.114330460349788,
      0.0549673717512103,
      0.0468716887287972,
      0.0568934688400463,
      0.0524634084119456,
      0.0458919968170083,
      0.050234677274576,
      0.0541575275676488,
      0.0564286425431345,
      0.0343703386453258,
      0.036565475455876,
      0.0665386681640375,
      0.040345176142374,
      0.0043927724393377,
      0.0168053360407566,
      0.0186795400925343,
      0.00753281480108155,
      0.00579483783864719,
      0.00265227988126637,
      0.00110119283657227,
      0.00173084893256404,
      0.000370654652090322,
      0.00142815479497494,
      0.00205334350366354,
      0.00107055204941043,
      0.000842234040324684,
      0.000124076965745793,
      0.000105544049065353,
      0.000018194364802244,
      0.0000130230446474522,
      0.000003451988552003,
      3.08785824246887e-7,
      1.11154068401944e-8,
      6.973383983385e-10,
      4.61575885476334e-39,
      4.61575885476334e-39,
      2.84582670949615e-12
    ],
    "bass_treble_ratio_curve": [
      0.768857672799362,
      0.511791077261376,
      0.405720773659649,
      0.570241499455872,
      0.89473982908757,
      0.713806971366642,
      0.605911028542841,
      0.864750595879722,
      0.753852397162025,
      0.840165713245817,
      0.989175260635346,
      0.669975500863291,
      0.554330169281576,
      0.860058079140376,
      0.197000435038035,
      0.633534015080041,
      0.942035089067958,
      0.790498434711826,
      0.823963628276084,
      0.750546954451052,
      0.233565617033407,
      0.532625244861523,
      0.530453233346036,
      0.659185890584205,
      0.605662391653641,
      0.370373561468026,
      0.392046425226858,
      0.879489266866977,
      0.683522625026933,
      0.55336723778878,
      0.757935668921669,
      0.648225484897215,
      0.719575542224508,
      0.968989890196533,
      0.557304403886937,
      0.684179136997768,
      0.728002082025401,
      0.392396644388294,
      0.717751692066739,
      0.965660883299258,
      0.776781306564604,
      0.558279556090856,
      0.563823995813673,
      0.428539716215943,
      0.674434950739213,
      0.918614679367225,
      0.922111974255973,
      0.985825920840433,
      0.990365809387289,
      0.987073527189614,
      0.980991906758883,
      0.974517276339683,
      0.969205189447762,
      0.94586836671865,
      0.808133561324761,
      0.90942980914216,
      0.371833211313159,
      0.305895803346912,
      0.292668273273934,
      0.585916314376967,
      0.78187300799726,
      0.838023962496891,
      0.745359069562482,
      0.504042848942599,
      0.994627612049907,
      0.807073607048461,
      0.544125107095158,
      0.828872842309222,
      0.937469548015688,
      0.720449327733323,
      0.924922279880624,
      0.762293962914571,
      0.756807354500392,
      0.646774555605834,
      0.798839752784103,
      0.627958716971937,
      0.939478894808231,
      0.74090482688924,
      0.48959382286157,
      0.513966447132882,
      0.135404456790097,
      0.83555378082644,
      0.922968251311592,
      0.761213242136466,
      0.74678124473753,
      0.841557084587494,
      0.768963709499897,
      0.922885361345728,
      0.901494210667211,
      0.950654307680175,
      0.512479422035401,
      0.811835571694975,
      0.847895109013711,
      0.727875747078013,
      0.691105241176218,
      0.842279385918118,
      0.829406565126101,
      0.266290539967723,
      0.32367676272887,
      0.493961177195979,
      0.637692906799165,
      0.750855985062569,
      0.694252447354074,
      0.748653983615544,
      0.883420422349517,
      0.791535598238011,
      0.680305475923513,
      0.925191221208597,
      0.76410419036435,
      0.967939224329507,
      0.915959902806481,
      0.802697093020539,
      0.945321235435648,
      0.854713619980421,
      0.616469952110468,
      0.724253997535056,
      0.68399612323452,
      0.6842591524683,
      0.80985369007468,
      0.674872342519638,
      0.472457134414965,
      0.623039860695894,
      0.438069057630233,
      0.778787901741675,
      0.629108597763229,
      0.688362018829615,
      0.579995919584435,
      0.833937025932591,
      0.720830250106576,
      0.707911460794409,
      0.851943647158734,
      0.615859631996353,
      0.860406505561254,
      0.891495226480023,
      0.748234334454967,
      0.509007001273344,
      0.705522633422067,
      0.714593117560097,
      0.741954381270121,
      0.385068136826393,
      0.784274947019609,
      0.574930762297849,
      0.82679451858576,
      0.485625984504619,
      0.797208027498452,
      0.935102013279724,
      0.911661664580839,
      0.820937354586503,
      0.62993041540759,
      0.487733425364889,
      0.761898134310427,
      0.852821237097435,
      0.21453589990773,
      0.780818349734517,
      0.81258105803764,
      0.587443797916568,
      0.774919990143052,
      0.878623732223146,
      0.883395951155423,
      0.982439717456549,
      0.780619047102979,
      0.917497645782555,
      0.90605113636016,
      0.648423462299623,
      0.862909533497152,
      0.642271716492067,
      0.716088232608025,
      0.800929470205873,
      0.877693968767234,
      0.771183304477842,
      0.902488823521807,
      0.861745638462834,
      0.640759146638238,
      0.973341743556483,
      0.893268908844277,
      0.739727111461508,
      0.949970908766745,
      0.794883134975957,
      0.759019317638118,
      0.993918433206379,
      0.948094192430664,
      0.937730413691789,
      0.738638191428482,
      0.776565779309585,
      0.789211981763183,
      0.650387709678728,
      0.535793358422555,
      0.677515739139314,
      0.934788911599784,
      0.815757504073254,
      0.697531532264361,
      0.753913759568696,
      0.780502669713693,
      0.885997172447602,
      0.692643399209083,
      0.6871631758962,
      0.775564126694882,
      0.55268405459464,
      0.787878018104997,
      0.880236117523173,
      0.833278165990618,
      0.937083185007462,
      0.960149555907775,
      0.81394429847157,
      0.841882656032169,
      0.957740886330739,
      0.903137064265844,
      0.941603179139798,
      0.704009532569416,
      0.824282204201909,
      0.730335211023195,
      0.691606459505038,
      0.581347487714932,
      0.683300277628742,
      0.504952374946522,
      0.639867026959941,
      0.882588458647138,
      0.682454415852664,
      0.809131978284118,
      0.663146670378911,
      0.53781737534065,
      0.811175740907619,
      0.805901476291906,
      0.858211988364665,
      0.92921669106849,
      0.941949047084186,
      0.805028695031144,
      0.882741201931284,
      0.939756763562452,
      0.815499812132012,
      0.832435947199312,
      0.844586099340432,
      0.818056837595839,
      0.942635793077348,
      0.861270141969548,
      0.882302542387626,
      0.903444737950842,
      0.848965167747781,
      0.78615249906803,
      0.565591576049184,
      0.348691486266627,
      0.307360754568428,
      0.285203760142901,
      0.5025077461192,
      0.49617697633735,
      0.649269376318636,
      0.53506169726559,
      0.572846929280556,
      0.626826079300927,
      0.566156160777174,
      0.706565142185963,
      0.241183107432299,
      0.268447234703985,
      0.445562512718242,
      0.759184513673382,
      0.368216621650685,
      0.707779836658491,
      0.721393031069565,
      0.660392551950353,
      0.872902445962759,
      0.815258354838935,
      0.884403602313354,
      0.492765920848969,
      0.307323485696459,
      0.241714581961618,
      0.238484128263332,
      0.445977966877117,
      0.551712030304016,
      0.821884891341613,
      0.438749876399995,
      0.943746234588779,
      0.634125904373853,
      0.458428346991636,
      0.82908088953375,
      0.855121163204495,
      0.877458260798036,
      0.828755370865628,
      0.611572003632958,
      0.779522501068465,
      0.650466578021137,
      0.467911878131612,
      0.231503222425212,
      0.536460756363581,
      0.421834673453038,
      0.521540430368537,
      0.776408095330916,
      0.44832445992353,
      0.625697226203673,
      0.790277727604093,
      0.633984088445589,
      0.841803453380678,
      0.787036333182059,
      0.715716442142481,
      0.944051614954288,
      0.931271571789465,
      0.7756970347908,
      0.859400157724851,
      0.81035371822391,
      0.507246735222357,
      0.737836576968859,
      0.783801075022328,
      0.722550707302781,
      0.780416421865623,
      0.601375480326129,
      0.56959828149029,
      0.641666163843925,
      0.495014532979549,
      0.689238771839938,
      0.781796867209705,
      0.624240040975625,
      0.612983187096728,
      0.745349333065458,
      0.606189953840382,
      0.801244571223666,
      0.871699363065107,
      0.839160112775606,
      0.76260434177304,
      0.925828380727816,
      0.885156028102004,
      0.900098551278181,
      0.881776537997051,
      0.68805912401705,
      0.812742113109708,
      0.953132415175413,
      0.938196584896413,
      0.918682828356325,
      0.822503696977086,
      0.807302658801452,
      0.64289083415727,
      0.878797396755564,
      0.827258059361736,
      0.727782713403309,
      0.905094837754243,
      0.891847253855006,
      0.917523302997478,
      0.950043581756995,
      0.704466987829875,
      0.909911280476888,
      0.491774921849745,
      0.457129544902559,
      0.955592750228162,
      0.668237725876914,
      0.213552635535645,
      0.878298518341658,
      0.474807317249396,
      0.832971824945484,
      0.866576103633722,
      0.786067403447405,
      0.80385779330041,
      0.530435101214279,
      0.565942354129512,
      0.749265878580999,
      0.717299832900899,
      0.707966331624464,
      0.773515585373631,
      0.33473190020072,
      0.484694954376258,
      0.610677313807024,
      0.296936364843719,
      0.789026861886146,
      0.719106327898104,
      0.634998555955465,
      0.49208406141017,
      0.558992137333328,
      0.520390615083443,
      0.541249877129062,
      0.725796271293414,
      0.455049916486711,
      0.506904045166049,
      0.489165230778919,
      0.892286358344787,
      0.4846311826963,
      0.560977588862326,
      0.501457911603417,
      0.623843823592178,
      0.623650925869194,
      0.718872388872172,
      0.751921144690242,
      0.667951076420477,
      0.774207688180616,
      0.720279948994451,
      0.654619477827018,
      0.781555660776959,
      0.850121994277799,
      0.711143255063881,
      0.774275760703263,
      0.894487729122544,
      0.564634758332845,
      0.814531290857708,
      0.631286744817447,
      0.676777085121183,
      0.661435503776258,
      0.448401870479524,
      0.60516043879981,
      0.798038878340283,
      0.532122857178215,
      0.603246360245916,
      0.700516008557079,
      0.725508371646354,
      0.686421486433269,
      0.716585665448479,
      0.524730915748908,
      0.682856486466005,
      0.79542632185914,
      0.410632743354944,
      0.325619888744355,
      0.345651667616717,
      0.388562741993023,
      0.68586573328025,
      0.871314083397259,
      0.567212513529229,
      0.44444455439333,
      0.494899188778832,
      0.468544249321422,
      0.46141010394093,
      0.686020206403348,
      0.405808081712502,
      0.781193391567672,
      0.744562771580565,
      0.821613251968964,
      0.5508028006064,
      0.576471855530484,
      0.713189670853777,
      0.841107428654527,
      0.732422975754097,
      0.741436229384127,
      0.611166603192135,
      0.688155245703683,
      0.857520802043645,
      0.789507862605671,
      0.809378113473528,
      0.822669491297694,
      0.554671446530844,
      0.313195599217044,
      0.404774675618582,
      0.485423809359212,
      0.950679342420731,
      0.87283701577147,
      0.924890162867724,
      0.856165342182836,
      0.891580618403731,
      0.944507057854254,
      0.964002310747257,
      0.995579042559479,
      0.999999961969078,
      0.999999961969078,
      0.99977058314373
    ],
    "energy_rate_of_change": [
      0,
      1,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      -0.640556503744686,
      -0.290662933798397,
      0.931219437543084,
      0,
      0,
      0,
      0,
      -0.588313607608571,
      0.588313607608571,
      0,
      0,
      0,
      0,
      0,
      -0.105179422041949,
      -0.114763540380141,
      0.21994296242209,
      0,
      0,
      0,
      0,
      0,
      0,
      -0.464180609759162,
      -0.00888886171228753,
      0.47306947147145,
      0,
      0,
      0,
      -0.151670259587905,
      0.151670259587905,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      -0.0205176437602324,
      0.0127571610843434,
      0.00776048267588891,
      -0.212209112503949,
      -0.229950091418098,
      -0.241337103002212,
      -0.134245199315688,
      0.405771872576545,
      -0.0402640735401827,
      -0.387583676506491,
      0.163185905007755,
      -0.243199292351218,
      -0.0801692289464614,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0
    ],
    "crest_factor_curve": [
      0.630319453495309,
      0.0197092063370569,
      0.0263306526287077,
      0.0460711946931412,
      0.00767727445103612,
      0.0230692572388205,
      0.0262294876810037,
      0.0328005416465221,
      0.0115347650563803,
      0.0381290329713484,
      0.0116202560367051,
      0.224008996511059,
      0.428280401762488,
      0.0112636243083609,
      0.0158659852034424,
      0.0460232471082206,
      0.0103852668780206,
      0.0190087264934741,
      0.272432738396139,
      0.0134408922376375,
      0.0325686333497437,
      0.0213091364457596,
      0.0229266788771675,
      0.024073415523336,
      0.0346817061286187,
      0.0559073178362429,
      0.0786955454332724,
      0.00881178636617445,
      0.0356869204987595,
      0.0237818299682732,
      0.0273776587919865,
      0.0181363496971309,
      0.0304581348119049,
      0.0153015295964753,
      0.117349348856555,
      0.100415726688036,
      0.0457021437527372,
      0.0153847725470754,
      0.011157501600457,
      0.0146207786645284,
      0.095933750709559,
      0.0251665895408766,
      0.026508199555546,
      0.0357049082251318,
      0.0183854754624398,
      0.0168724773493168,
      0.0219546319298767,
      0.00611485976148248,
      0.00364402456130803,
      0.00403700592614961,
      0.0034516926616148,
      0.00354112419561663,
      0.00328848416571007,
      0.00372688892238748,
      0.00867706671457484,
      0.00456874173973324,
      0.00605903392859644,
      0.0066270317720247,
      0.00723569369220972,
      0.00553930608859315,
      0.0176178962679027,
      0.00779751767509809,
      0.00673654616187124,
      0.0297377442490572,
      0.00556300659687045,
      0.00767841684957478,
      0.0221083839619133,
      0.00789106597634754,
      0.0116187540498189,
      0.0134569533793895,
      0.00802293420433807,
      0.0123746639745117,
      0.0137726141206995,
      0.00980048423062546,
      0.011420111569253,
      0.0117408474922607,
      0.00613127377867798,
      0.0101876948243299,
      0.00640740403844092,
      0.00510860731581202,
      0.00773818581914386,
      0.0048550437076544,
      0.00508522635258502,
      0.0146040638594539,
      0.00860962463414956,
      0.0081487659485359,
      0.0212219903000229,
      0.00569128919487825,
      0.0100989294389982,
      0.00726352519058837,
      0.00903228668640404,
      0.00732344993746272,
      0.0108073628880379,
      0.0123203913373669,
      0.0102205761631381,
      0.00869097261969122,
      0.00524351528229267,
      0.00494467627270337,
      0.00647000971787158,
      0.00605181043920046,
      0.00711390958300363,
      0.00537402582155684,
      0.00633609415339653,
      0.011387746177919,
      0.00658223989210696,
      0.0119219988294836,
      0.0150763772020348,
      0.00467086230611819,
      0.00622689392254663,
      0.00313249116546822,
      0.0110498982632468,
      0.0148743595398607,
      0.00734764438266014,
      0.00501190827853706,
      0.0066397856339743,
      0.00492169084596156,
      0.0127419847866304,
      0.00823584691671004,
      0.0138068811204619,
      0.0095435557583166,
      0.0102300492118185,
      0.00565565001059485,
      0.0140363859140532,
      0.00685963257711597,
      0.00718649324551252,
      0.00687350414512659,
      0.0204762315067311,
      0.0076510951184112,
      0.0140964145203389,
      0.0102538540076128,
      0.00681807728093219,
      0.0131461269763914,
      0.00836908503249088,
      0.00712019336943201,
      0.0202320972020684,
      0.00579137403129447,
      0.00530924285956176,
      0.00715573770057117,
      0.00492479349335576,
      0.00859248033106013,
      0.0111612808470081,
      0.00962457927304862,
      0.00973903258275892,
      0.00808950841855129,
      0.00774595268210002,
      0.00468714134760863,
      0.00448299825897767,
      0.00739506515822873,
      0.00938926275848781,
      0.0306929224324534,
      0.00882216326308683,
      0.00488546507795658,
      0.0158025050013852,
      0.00960124082528871,
      0.00978635733479416,
      0.0259127039079917,
      0.00903256500360623,
      0.00732204614248474,
      0.0104241859894435,
      0.00811165754976404,
      0.0154843785191489,
      0.0278285906269197,
      0.0123852571725655,
      0.0184385816971094,
      0.00971394127708214,
      0.0172313138851743,
      0.012494005735441,
      0.0105634273844511,
      0.00970564466325704,
      0.00996965501821583,
      0.00884688419656801,
      0.0104600320904992,
      0.0207058783654899,
      0.00366039565930266,
      0.00805980187327663,
      0.0189307325000264,
      0.00755057246050006,
      0.014382369460726,
      0.0315953379327036,
      0.00560175397837274,
      0.00813693982752293,
      0.00599465200141718,
      0.0136271303935825,
      0.0118240203102843,
      0.013861212606815,
      0.0171536346361264,
      0.0140166433305188,
      0.0138418297637241,
      0.00486740371493681,
      0.0078365479034298,
      0.0096902412845889,
      0.00766245940079691,
      0.00747264281051302,
      0.00448249687206945,
      0.0102772122352165,
      0.012557158215301,
      0.0107225911145744,
      0.0182402747921426,
      0.00981004837262837,
      0.00816241733145339,
      0.0107359171081656,
      0.00830901933946643,
      0.00661625851791921,
      0.0112347902525874,
      0.00877587412735687,
      0.00406122296519912,
      0.00609438286779309,
      0.00479517367409823,
      0.0138228488596409,
      0.0103383949287984,
      0.00942020765702542,
      0.0156585617932662,
      0.0146141478192734,
      0.00932373224977831,
      0.0172267922897293,
      0.0154344891696779,
      0.00852470149960088,
      0.0128876386959802,
      0.0107495112902436,
      0.0130071218253242,
      0.0140808850347762,
      0.00689422224554815,
      0.00874518141571538,
      0.00640367092779123,
      0.00541182242386536,
      0.0111926904135517,
      0.0141482080248305,
      0.00571777948824927,
      0.00522110483176189,
      0.00719397711052371,
      0.00853013615928921,
      0.0085271609867704,
      0.00896833935488115,
      0.00477582777773536,
      0.00925393579524434,
      0.00772994809301107,
      0.0048236166214628,
      0.00423653460789819,
      0.00505933900098585,
      0.00630687392412083,
      0.00770952325862539,
      0.00941945276954067,
      0.00954979443490054,
      0.00950926966038892,
      0.00941973020117169,
      0.00958987610726594,
      0.0106922678736923,
      0.00877620678810539,
      0.00597692984195864,
      0.00677610020647191,
      0.00808460217653876,
      0.00596039481410386,
      0.00660832585815878,
      0.00761524812267665,
      0.00979418403283927,
      0.0124150843508416,
      0.00816464389032991,
      0.0146593075446136,
      0.0109996604721327,
      0.00577953572061236,
      0.00969644545835779,
      0.00545453892867507,
      0.00710953940800918,
      0.00561566011023346,
      0.00446716095756066,
      0.00505454789311751,
      0.00845157611540225,
      0.0109777547319861,
      0.00478632742757442,
      0.00925157518901271,
      0.0184408299638091,
      0.00698855476195379,
      0.00906646828976669,
      0.0068559184715988,
      0.00566079594652167,
      0.00675987493245415,
      0.00529872354507522,
      0.00746904092678588,
      0.00685925195157582,
      0.00721255303528288,
      0.00692394994800867,
      0.00412452055724812,
      0.0112296269958994,
      0.00703172185019552,
      0.0100971474996465,
      0.00459066990719297,
      0.00999400008044781,
      0.0131828571270155,
      0.00925348291241086,
      0.00794477285659452,
      0.00604270652804959,
      0.00711182926771556,
      0.00730904015775945,
      0.00403573085495903,
      0.0107024041106174,
      0.0114670647370468,
      0.00634718993627235,
      0.00564378194799387,
      0.00675845056945399,
      0.00676507429975494,
      0.0117407451653405,
      0.0124318749594815,
      0.0155861525894814,
      0.0104882694196668,
      0.00911654853122229,
      0.0070713417926104,
      0.0168179182990018,
      0.0080451319763021,
      0.00513381808270959,
      0.00772193132182512,
      0.013012304442734,
      0.0115789669814769,
      0.0126202359525133,
      0.00967099364134456,
      0.00484794746701876,
      0.00656951360356126,
      0.0127310541490178,
      0.00839318351085796,
      0.00726952483593503,
      0.00482281865268281,
      0.00504041163266135,
      0.0122687577307637,
      0.00906096480094795,
      0.0111744711041,
      0.00939773795693201,
      0.0110034265242232,
      0.0107223033092892,
      0.0105360132808539,
      0.00961121166950956,
      0.00983929050424283,
      0.00581073084276316,
      0.0066660516560521,
      0.00450886822752358,
      0.00431345002608372,
      0.00699842896201969,
      0.00685841614699723,
      0.00974873580044804,
      0.00710242418520735,
      0.00653091394062296,
      0.00945541728376984,
      0.0058989671232834,
      0.0180818337191602,
      0.0424319408260043,
      0.00554558974038777,
      0.00767611007134856,
      0.00515773702181591,
      0.0100432584724052,
      0.0117993163180729,
      0.0115694040173701,
      0.0114002702588196,
      0.00910881733134511,
      0.00694136048585841,
      0.00584233430555526,
      0.00460129902697449,
      0.0047878357888199,
      0.00682732796900614,
      0.0090761630973699,
      0.00702595979827188,
      0.00815490757134808,
      0.00690457452712672,
      0.00813791509408562,
      0.0119979014517975,
      0.00575359457396159,
      0.00684413132278125,
      0.00723449808125332,
      0.00690870495167984,
      0.00551329211362013,
      0.00670885236598101,
      0.00477106846163075,
      0.00833854365410374,
      0.00916534186513194,
      0.0071096112549908,
      0.00762725444599427,
      0.00526309109382888,
      0.0111283646556584,
      0.00604013399395732,
      0.00342011742402941,
      0.00407240534493672,
      0.010841159027682,
      0.0142664994242303,
      0.00855643700591057,
      0.0125104345450657,
      0.00653167876832856,
      0.00669633069889975,
      0.0146204359824091,
      0.0165500132572277,
      0.00956194935625887,
      0.00663262608361698,
      0.00600172175094742,
      0.00613523648037259,
      0.00493532318176022,
      0.00698100597890642,
      0.00892944435315721,
      0.00934727965255301,
      0.00476539657815301,
      0.00842302267188378,
      0.00685862588032894,
      0.00440033222152225,
      0.00817472849410218,
      0.00816410089980554,
      0.00524271066130037,
      0.0121298791559054,
      0.015527010824496,
      0.00849467577233987,
      0.0175385230945717,
      0.0160945182825182,
      0.00549558613974422,
      0.00580760724368644,
      0.00870796540199384,
      0.00768613579782321,
      0.007007222991715,
      0.00803934931595535,
      0.00618112745556088,
      0.0062190823502386,
      0.00829639301540776,
      0.0114507832996867,
      0.00843946319428815,
      0.0084738873679433,
      0.0185020625694884,
      0.0163071777533211,
      0.00986293270097684,
      0.0107691671167591,
      0.0149276386577381,
      0.0119547404361295,
      0.0338420035873309,
      0.036504717138875,
      0.0456900086716357,
      0.038631224174464,
      0.0258773867991031,
      0.0722853507655156,
      0.0965801258337296,
      0.177018030024102,
      0.293348998605493,
      0.0785551808709864,
      0.071871883786733,
      0.266457007002328,
      0.0881131924102967,
      0.19368887623012,
      0.305943313028456,
      0.645336905829611,
      0.718061573034819,
      0.913519675677871,
      1,
      1,
      1,
      1,
      1
    ],
    "loudness_curve_perceptual": [
      0,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.359443496255314,
      0.0687805624569164,
      1,
      1,
      1,
      1,
      1,
      0.411686392391429,
      1,
      1,
      1,
      1,
      1,
      1,
      0.894820577958051,
      0.78005703757791,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.535819390240838,
      0.52693052852855,
      1,
      1,
      1,
      1,
      0.848329740412095,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.979482356239768,
      0.992239517324111,
      1,
      0.787790887496051,
      0.557840796077953,
      0.316503693075741,
      0.182258493760053,
      0.588030366336598,
      0.547766292796415,
      0.160182616289924,
      0.323368521297679,
      0.0801692289464614,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0
    ],
    "energy_curve_sub": [
      0.0000643055021053775,
      0.0667215105844912,
      0.0000925735474799245,
      0.00000764175378125101,
      0.0691441904943956,
      0.0290592082537829,
      0.00000833135839606685,
      0.0368120791312553,
      0.0000255830587677622,
      0.000146304100874226,
      0.111537569498245,
      0.00351095265294005,
      0.0378143299057446,
      0.0229782484375198,
      0.0000261746157061446,
      0.0455281876982526,
      0.046923533304743,
      0.000252034289697606,
      0.0538824331678683,
      0.00131275877347915,
      0.00000952370179025313,
      0.0494029607684503,
      0.0113184161878011,
      0.0450544159861678,
      0.0594064693864133,
      0.000121768174745873,
      0.00000634440370268681,
      0.0419200018320614,
      0.0000481294620571532,
      0.00000512420086284235,
      0.036477948714691,
      0.000025041172331169,
      0.00000415740545829895,
      0.0927950355157952,
      0.00449026299310027,
      0.0281914439407061,
      0.0190984591829051,
      0.0000517007979949886,
      0.0441900451269687,
      0.0553872677989737,
      0.000245056307093059,
      0.0492923236283996,
      0.0491614612944583,
      0.0438638222454172,
      0.032492380629008,
      0.0448316257788917,
      0.0510272259458022,
      0.0652249555448021,
      0.070327583283591,
      0.039350516609473,
      0.0673872160309753,
      0.0387455416274839,
      0.0522823759181677,
      0.0482092314106738,
      0.0625812968059956,
      0.126828202754642,
      0.16701068817857,
      0.0680496636760002,
      0.0825273574856898,
      0.218290976856177,
      0.0391224374614991,
      0.0564626646197177,
      0.0990221409647722,
      0.00490211397283017,
      0.104655900222862,
      0.112893748047175,
      0.00541143266679873,
      0.155233511962359,
      0.0555227466071955,
      0.0322683517965175,
      0.16741185156965,
      0.0426123014718949,
      0.121454316473395,
      0.0776798098330658,
      0.0562702354125727,
      0.0934470919042585,
      0.0650468837110546,
      0.0757719137844682,
      0.114500418634135,
      0.191437133033386,
      0.0220670590484825,
      0.146979191658197,
      0.212246453889224,
      0.00649997786906631,
      0.0678791969462308,
      0.0873083366646531,
      0.0205142320186086,
      0.156706483602541,
      0.091642200689038,
      0.0619375296853535,
      0.0841478303974331,
      0.0807107311826224,
      0.0844442873479267,
      0.074208895886119,
      0.0938877607446899,
      0.102721037475779,
      0.280688130584028,
      0.111506522612284,
      0.0610546329381661,
      0.0055286090875007,
      0.0295274048475468,
      0.0948890602469631,
      0.102662975634646,
      0.0957614598528543,
      0.144989064621627,
      0.059894844069627,
      0.0533683909541709,
      0.101295758614172,
      0.0827248418223796,
      0.0760322778903994,
      0.101558079627019,
      0.0710681884427968,
      0.0951247899871249,
      0.252223501929181,
      0.211268014631789,
      0.242801749151029,
      0.0352055082486534,
      0.0765666775857085,
      0.0518988777101365,
      0.0461611715978937,
      0.0637006596414581,
      0.193813437908001,
      0.0399032178056654,
      0.0562033900188605,
      0.0668011440732887,
      0.068842515893335,
      0.0487338656807886,
      0.114747337334811,
      0.0565290090538662,
      0.0775031200366167,
      0.0553578788992264,
      0.0508934053277115,
      0.0082794874876308,
      0.102609227257544,
      0.0621827901585152,
      0.046106712995099,
      0.241328832166595,
      0.248445004746774,
      0.213789422605686,
      0.151331633919148,
      0.103847258295058,
      0.0709418868906096,
      0.106209042367233,
      0.0754154262969275,
      0.0537807893135971,
      0.0343071751239997,
      0.0541807708470111,
      0.21455782165404,
      0.174964668938196,
      0.0138098047712408,
      0.120148604732108,
      0.254348474364069,
      0.00790696410863516,
      0.0967661668460135,
      0.115253847983855,
      0.0344122804048119,
      0.148208884503349,
      0.121328306767328,
      0.239592318575467,
      0.196689843843552,
      0.0466086863453269,
      0.110095863123872,
      0.126951637253061,
      0.0220954744764349,
      0.160253193840852,
      0.0665628096235062,
      0.0972960407761449,
      0.0929512326522745,
      0.0699035405126961,
      0.0991387108830873,
      0.184393076882091,
      0.241597900258269,
      0.0559926116322051,
      0.127417370894855,
      0.223120033352113,
      0.0301433058459825,
      0.147378361793056,
      0.0599001282314899,
      0.0228365236991372,
      0.114308133086039,
      0.0810328568318537,
      0.0688662075906616,
      0.0659631707518138,
      0.0819654410520983,
      0.0971179452020273,
      0.0698480468020662,
      0.0699879212843882,
      0.132348465006677,
      0.284587877700656,
      0.172378263028717,
      0.0892567673130854,
      0.00708740334826791,
      0.00939888194666423,
      0.137431114887544,
      0.099047159764771,
      0.0804330196405362,
      0.126040935159582,
      0.0576948024946612,
      0.090258077428677,
      0.0739942428087291,
      0.0552187236890841,
      0.0228753218450989,
      0.0599646124608955,
      0.0651860580231485,
      0.124599285483068,
      0.269231904323007,
      0.254382239110288,
      0.268126086803899,
      0.120599196757965,
      0.124220212241503,
      0.0766667564770322,
      0.0395753187574105,
      0.101179403729324,
      0.109131743206328,
      0.0605131547698904,
      0.0517248591568916,
      0.0723211442753185,
      0.0677220082945885,
      0.099023509372135,
      0.128951143981771,
      0.0765655204366812,
      0.084425048674634,
      0.0399640980081292,
      0.0542358810947096,
      0.0452822093130942,
      0.100272660604248,
      0.0273762190590369,
      0.168429269274573,
      0.246359224710355,
      0.201655670970129,
      0.157789631880284,
      0.139681529439795,
      0.10475011198532,
      0.109479823081515,
      0.123422595902048,
      0.14047854857187,
      0.0374628905079679,
      0.0191112424681934,
      0.0661829421485063,
      0.210245888515793,
      0.0994155582101136,
      0.0286652460509436,
      0.0287294307145225,
      0.0257770017108665,
      0.0636385347129205,
      0.0424490239240137,
      0.0517871110422235,
      0.0347563431300995,
      0.0401775090149294,
      0.0517973447663965,
      0.107124508394732,
      0.0446975260254367,
      0.0495418845613141,
      0.0911628430268623,
      0.114711902975706,
      0.0449584699675789,
      0.113339736208874,
      0.0904145182635273,
      0.113858268582647,
      0.050702339832134,
      0.0124799839794725,
      0.104213363298044,
      0.157640504753396,
      0.0904426531641422,
      0.0312267854210733,
      0.0356490505349918,
      0.0440206111652663,
      0.0450403857873982,
      0.0475616325021474,
      0.0377147588532813,
      0.0469524805287751,
      0.00492606874653736,
      0.0322851812925552,
      0.0836026561547597,
      0.0412839220774416,
      0.0492135985001081,
      0.0450712601426958,
      0.0423111460347942,
      0.06461012376551,
      0.0391998601812123,
      0.0443198474612113,
      0.0184626578967713,
      0.0227521550505108,
      0.0194626615259676,
      0.0292361161800832,
      0.0740584054895535,
      0.0963882125683384,
      0.104830758499971,
      0.117825473054198,
      0.0716381748075982,
      0.0554794553680087,
      0.100901686242529,
      0.0735777105297909,
      0.0711545597292553,
      0.115420661670873,
      0.0656726162515734,
      0.157366345166597,
      0.240186931298433,
      0.183369698208661,
      0.190730882078236,
      0.0645779249581391,
      0.0671442194293528,
      0.0430925723501504,
      0.0457203449278461,
      0.122444101812345,
      0.127264803555136,
      0.0715397626484535,
      0.0251786419029889,
      0.0625512566950234,
      0.0804150345179932,
      0.0632771407158688,
      0.123239608482599,
      0.0412725911786222,
      0.0705016422067121,
      0.0732266576606907,
      0.0682976961958686,
      0.0912983064978828,
      0.0339452319683839,
      0.110028285009596,
      0.128692811865082,
      0.246596907033314,
      0.0769663536365281,
      0.103044091145798,
      0.0520143150633102,
      0.139055942380848,
      0.0980570745626305,
      0.0633715685806516,
      0.112329031937334,
      0.0665980945220566,
      0.0938057075475449,
      0.116859482035078,
      0.153529137408813,
      0.251560351066705,
      0.22580244426649,
      0.15945958382625,
      0.138816907560536,
      0.102684266186739,
      0.0925246832304,
      0.05524833076457,
      0.0560526957598459,
      0.0623916173629688,
      0.000212619256044262,
      0.0263363979949092,
      0.218464105286284,
      0.1616309964986,
      0.23704417281187,
      0.0922928368481316,
      0.0883909700228629,
      0.051592554000744,
      0.0449127005244424,
      0.0556948803891043,
      0.038470952171938,
      0.00608007752822883,
      0.0246584397800403,
      0.0913323863893309,
      0.0823104050289761,
      0.0855910423411246,
      0.116988105574996,
      0.0682957903446516,
      0.124398051587816,
      0.0652948361924714,
      0.0836296194800441,
      0.0319597984788441,
      0.0529200910893636,
      0.0366274851284501,
      0.180866477036501,
      0.236785784719161,
      0.173176012536339,
      0.197832687455191,
      0.0845132615087919,
      0.125784492844618,
      0.065061908938613,
      0.0838195146683139,
      0.154156025150891,
      0.104076759582637,
      0.210213518501198,
      0.0447621927644668,
      0.0883239468096959,
      0.0840381677017829,
      0.117891724490305,
      0.154330482807956,
      0.062595336496945,
      0.0630244589875905,
      0.0350441249087683,
      0.066362670763232,
      0.0380217944096859,
      0.0884573261606073,
      0.0586443709592246,
      0.124114694308092,
      0.214746713904934,
      0.15041601259173,
      0.180329006711858,
      0.0577186367355827,
      0.0816656992943637,
      0.0335880958235485,
      0.0508162927487055,
      0.0392255394976932,
      0.0460805395874325,
      0.0383586258744301,
      0.0235712300937085,
      0.0819922807082439,
      0.102769365227927,
      0.0835024138831899,
      0.146660641091428,
      0.0562643723081863,
      0.0689515122490206,
      0.0901754870477911,
      0.0309045915208266,
      0.00433850735281825,
      0.0623250218366001,
      0.00917092892639163,
      0.0973319185607128,
      0.14504084831391,
      0.10711155665972,
      0.0736421880110733,
      0.0880640449427921,
      0.0666538691010129,
      0.0398982622277818,
      0.0519224659178049,
      0.0492715714363311,
      0.0985290778244013,
      0.031655185384334,
      0.0150298113076115,
      0.0174317004933773,
      0.0190384416410611,
      0.0146570533275899,
      0.0124575211703312,
      0.00733312423006928,
      0.00508225495117677,
      0.00505178459806258,
      0.00232207547335953,
      0.00253268514203288,
      0.000508387320874693,
      0.000732823029326429,
      0.000927485207388976,
      0.000256728365755558,
      0.000437144603401819,
      0.0000682443919373169,
      0.0000843303595967516,
      0.000029369308786587,
      0.00000759625776139624,
      4.18659651341262e-7,
      4.04829892551289e-8,
      3.96496825074975e-8,
      3.97318543541495e-8,
      3.97318543541495e-8,
      3.83735177614179e-8
    ],
    "energy_curve_bass": [
      0.00386361702177477,
      0.0473850460062004,
      0.00303783944490642,
      0.00984128539191696,
      0.0944350217958268,
      0.0136215976891258,
      0.00587963527218501,
      0.035018345265318,
      0.00312348554439164,
      0.024327412062275,
      0.0967403455471164,
      0.000936337829571085,
      0.0438774338735838,
      0.0119897472262194,
      0.00109863931093212,
      0.0485748186167698,
      0.0589680801673293,
      0.000943074905669436,
      0.0445899036661948,
      0.000506421888357875,
      0.00130932176862528,
      0.0504679544282693,
      0.0228809862665298,
      0.0205843176421947,
      0.0484906777413682,
      0.000334351130130258,
      0.00999443631319638,
      0.0619688969696165,
      0.00625648292058007,
      0.00620752160554088,
      0.0357225238506179,
      0.00218576417162807,
      0.0196277952581494,
      0.102667562688665,
      0.000853434260737365,
      0.0440524682236121,
      0.00300607757620311,
      0.000841112910705489,
      0.0536798934454212,
      0.0545975273479449,
      0.0143318083696769,
      0.0537232097550543,
      0.0518404441071348,
      0.0427503274141129,
      0.100713116976159,
      0.0684188776204939,
      0.0564364285554406,
      0.175950617970026,
      0.305006210938127,
      0.355699791365289,
      0.39054672985839,
      0.395414106307721,
      0.419154497064647,
      0.401926055745533,
      0.230399752329983,
      0.330950094236677,
      0.0966811391172998,
      0.0387313664235251,
      0.0851923884421933,
      0.118660860526928,
      0.0255250152559825,
      0.24346453663744,
      0.151805837280596,
      0.00957889792677648,
      0.28380252245762,
      0.17529117751641,
      0.0135224965024623,
      0.165738948794167,
      0.0996524616123581,
      0.0671785699144511,
      0.147133286659225,
      0.0748927315469082,
      0.159311352266439,
      0.0657858299196814,
      0.0976919368570134,
      0.182181761944771,
      0.215142581039293,
      0.244252147545164,
      0.123331657283152,
      0.101672164272823,
      0.0301041496287431,
      0.202236487441119,
      0.160908366142898,
      0.0315241867311998,
      0.251148620914445,
      0.150350569660139,
      0.147999263226917,
      0.250033686914102,
      0.132881406547451,
      0.303237025874454,
      0.0775549113075908,
      0.170222785586647,
      0.0700997381153011,
      0.0649512088645924,
      0.0800447055920082,
      0.0993758636015515,
      0.0901628876217238,
      0.0716559884497398,
      0.107966300696587,
      0.211078043476136,
      0.279145674954851,
      0.283557280762435,
      0.204562676527581,
      0.143727295110508,
      0.148082172130899,
      0.0821122592328603,
      0.132929997623656,
      0.232830533850663,
      0.187249549902378,
      0.387665549993522,
      0.157140729601439,
      0.139706988304853,
      0.205236211194297,
      0.0888919099545891,
      0.109438599155726,
      0.106986201240637,
      0.0783135754342125,
      0.0662473560041172,
      0.110237104005279,
      0.06971926912403,
      0.087306775078707,
      0.117976739902397,
      0.0614054455184634,
      0.220050878173945,
      0.245253524748861,
      0.17383247916061,
      0.0782220754594827,
      0.122071615431567,
      0.0736901452715254,
      0.160555496807774,
      0.234121980405825,
      0.148372639176322,
      0.191908434572959,
      0.254337605950206,
      0.0864563338847627,
      0.178666923495919,
      0.076995340002084,
      0.134463507271996,
      0.195148891385617,
      0.059035590397612,
      0.121322289341357,
      0.1831247041662,
      0.136975714433866,
      0.120093378516969,
      0.284768229539068,
      0.386399385739935,
      0.441422686426148,
      0.146749217901626,
      0.123788791143083,
      0.0345057268759078,
      0.17924678719966,
      0.152229979854144,
      0.00681951063211912,
      0.266710990580072,
      0.191733957429983,
      0.0326189230553262,
      0.180041874794058,
      0.150957946795632,
      0.112903807170552,
      0.184859990486448,
      0.0706424726568649,
      0.121253630115959,
      0.143224230077351,
      0.0570768148523537,
      0.172054720154003,
      0.0762559794726739,
      0.0951840501233875,
      0.231332703471574,
      0.16405065351409,
      0.258888752455454,
      0.175636816404988,
      0.157078506314692,
      0.0526762774383584,
      0.320191281955353,
      0.160264018810887,
      0.0957942840105702,
      0.201123448924304,
      0.0725356734206338,
      0.193832174434565,
      0.292409270203612,
      0.15092470860918,
      0.33021404956751,
      0.127236202279367,
      0.157799333966559,
      0.12723281886622,
      0.0635145677405124,
      0.0659895656059516,
      0.0805475895781936,
      0.0845892128042744,
      0.126167568935005,
      0.168403894276623,
      0.291676789379927,
      0.364774657370881,
      0.319376463149603,
      0.176962957502286,
      0.136069551528364,
      0.125315629595856,
      0.0830954713166773,
      0.185111374506207,
      0.202035526649597,
      0.230119492320099,
      0.259826860705022,
      0.227742101873913,
      0.173027830972741,
      0.203252500096275,
      0.129472945257422,
      0.118655011205555,
      0.164387633063611,
      0.0541382706192175,
      0.131804447166398,
      0.193254563447895,
      0.0695401406181898,
      0.102606296890429,
      0.084564954636239,
      0.118542352907535,
      0.149447564437332,
      0.341692795261299,
      0.0937192310262475,
      0.163892438014289,
      0.0964210731180151,
      0.105757698823172,
      0.213415865485772,
      0.149062219983849,
      0.31756552835267,
      0.296758623126839,
      0.126909530806269,
      0.178172760547445,
      0.166711314659931,
      0.0849499958987416,
      0.0944672045503141,
      0.101100305875602,
      0.12820783673607,
      0.202855732693118,
      0.24986558410137,
      0.168093533601382,
      0.194067037113,
      0.30007609150166,
      0.43507904876066,
      0.336161951490714,
      0.169344123484244,
      0.109954308461557,
      0.129274787583509,
      0.11104456580465,
      0.161762683825435,
      0.0963121917846402,
      0.156968652608471,
      0.0847936001653368,
      0.231293254958738,
      0.229529751067305,
      0.185178453594673,
      0.157575379825912,
      0.0387990656094223,
      0.0902798674243675,
      0.0976056478869582,
      0.11554430031125,
      0.0658689501622146,
      0.188481373287753,
      0.112881514511565,
      0.104905532395223,
      0.293096392907908,
      0.298508817373939,
      0.285939303841261,
      0.130081942673885,
      0.1101169104454,
      0.123498065697893,
      0.109648821659216,
      0.155364267301718,
      0.0794170955706972,
      0.218923680813504,
      0.0872972006847316,
      0.0980299707321362,
      0.195761209655791,
      0.151398944188225,
      0.307189349730623,
      0.248233944137896,
      0.185549439787065,
      0.293477050065268,
      0.190343906249607,
      0.28012426729259,
      0.167040006575818,
      0.14423233255799,
      0.0871548265028589,
      0.0577200162496618,
      0.176126801639346,
      0.162447208791895,
      0.320981966595286,
      0.105968325837973,
      0.131925503686657,
      0.0735754130523711,
      0.0592063438588949,
      0.179149548917708,
      0.186358264580978,
      0.236797750371598,
      0.296392084700658,
      0.109497073918621,
      0.164254480136576,
      0.214291873440779,
      0.0723748442840221,
      0.0976631204169539,
      0.113054588819225,
      0.0858169417168374,
      0.10886791551357,
      0.0858257092100136,
      0.0664732944086761,
      0.10638986124104,
      0.119715215947349,
      0.103592102954326,
      0.173449417951736,
      0.267203971134507,
      0.163043609207484,
      0.0993309929244661,
      0.114449858766563,
      0.060684873513206,
      0.170343736925894,
      0.281776899287169,
      0.247100974766947,
      0.139309631168986,
      0.241435472325665,
      0.154112597849158,
      0.311168100156009,
      0.0851725325032013,
      0.0319280411785132,
      0.0483175619109859,
      0.0804936604408273,
      0.0921779789071886,
      0.0665571353258563,
      0.0749535184306217,
      0.0973806237107452,
      0.109179594751473,
      0.185462167412354,
      0.135752812166751,
      0.124898089910054,
      0.214991714164934,
      0.225363034719185,
      0.204508010914307,
      0.193169684297029,
      0.12411893965166,
      0.254358210800678,
      0.132505689787079,
      0.134219955237407,
      0.292135088106565,
      0.00452381402784291,
      0.054035752418433,
      0.154923074692889,
      0.0987534733008657,
      0.208063615733839,
      0.150847119575445,
      0.173544766362342,
      0.141649504116253,
      0.123564378558468,
      0.181498123067772,
      0.304904451758149,
      0.304711778693429,
      0.413875399169766,
      0.279581458150539,
      0.100694673953924,
      0.140036154307005,
      0.13076340888496,
      0.0676518505815818,
      0.21650444379162,
      0.24381161422597,
      0.238139967767074,
      0.143582095761939,
      0.188676069880686,
      0.161945511535285,
      0.146035067577815,
      0.0872559262071215,
      0.0829641482094982,
      0.144816964594812,
      0.085913278579426,
      0.149187786729522,
      0.197272236771883,
      0.0976447606942946,
      0.141222016682808,
      0.114326913222522,
      0.155434620951431,
      0.423286868361888,
      0.279611833347766,
      0.135074244527659,
      0.152701884942542,
      0.112454068632083,
      0.0900943089836227,
      0.23187182775327,
      0.310618682945732,
      0.147297454462269,
      0.130501636015798,
      0.203666218331989,
      0.203509968686457,
      0.273395895298345,
      0.0971484607595031,
      0.210432366026392,
      0.16391201387022,
      0.15412075670935,
      0.176932299901811,
      0.388005193407303,
      0.205388291323651,
      0.208424221620675,
      0.347093017334405,
      0.341156661722263,
      0.268101480956223,
      0.250268806288976,
      0.123301094870472,
      0.157886325416125,
      0.156653575509787,
      0.0924531473517595,
      0.105022809052991,
      0.141713708890809,
      0.173060852103082,
      0.231603574690905,
      0.279497847824024,
      0.165182243070079,
      0.125970319491015,
      0.101788838303272,
      0.0903237815565589,
      0.103045212695197,
      0.105049768141895,
      0.0705427090802429,
      0.168379373935333,
      0.079628335102044,
      0.0741667565816568,
      0.0687677266466993,
      0.100363371909947,
      0.0987161366124241,
      0.0836681566523228,
      0.0308019689208834,
      0.0281485956152041,
      0.0131642956975298,
      0.0147528978301408,
      0.0143615006812362,
      0.0100295212169245,
      0.00544788038289411,
      0.00286618596821376,
      0.000618654109626114,
      0.0012268178294691,
      0.00135187068516098,
      0.000680881871813659,
      0.000718120078463973,
      0.000362168787699443,
      0.000199470885282596,
      0.0000327409427594392,
      0.0000193989537686034,
      0.00000294400687757051,
      2.78098556515867e-8,
      1.22135483891003e-11,
      1.85399295018631e-41,
      1.85399295018631e-41,
      1.49582315034779e-11
    ],
    "energy_curve_low_mid_6": [
      0.046598008605465,
      0.053906517116198,
      0.0589368413811959,
      0.0597230492933722,
      0.0612240906446377,
      0.0595366610614285,
      0.0688652888735854,
      0.0970465889894377,
      0.083868301470211,
      0.0171979815503775,
      0.00388707379019954,
      0.000988409586003988,
      0.000476778009479302,
      0.109783568969548,
      0.124238260395328,
      0.0389060770301994,
      0.0315646536724932,
      0.0762105526559659,
      0.0143663535527711,
      0.116216937908791,
      0.064891571617308,
      0.0984793751756859,
      0.0626900625238575,
      0.057595363436892,
      0.0243745675782556,
      0.0327345418885048,
      0.0262363532369972,
      0.0727087721676264,
      0.0654711656701865,
      0.0614472455505985,
      0.0969415804750391,
      0.0606815862395432,
      0.0103307218477565,
      0.00333272676906361,
      0.00228078400344349,
      0.00183179357526257,
      0.0825774292571502,
      0.0934631918558155,
      0.068151080026202,
      0.0115082373149556,
      0.00687444501448727,
      0.0209157089721383,
      0.0268603548547807,
      0.0341018037622112,
      0.0410351433703004,
      0.00536948022955428,
      0.00294796052590283,
      0.00382509873889516,
      0.00805948292619343,
      0.0123174466109167,
      0.0306811810967333,
      0.0285658513210743,
      0.0468058132981971,
      0.0847324179161393,
      0.138034564553789,
      0.0903862175303674,
      0.273596986123253,
      0.244704926431671,
      0.233869013293581,
      0.150849472820679,
      0.116491213338377,
      0.114013862685133,
      0.0785906774579649,
      0.0719587403470428,
      0.00527271103330933,
      0.0488168616135728,
      0.0791728291416864,
      0.041596597070008,
      0.0275242248106721,
      0.0557511550651181,
      0.0358665032844781,
      0.0315462765964466,
      0.0439139401109198,
      0.186548908955155,
      0.151237086142859,
      0.122189171578916,
      0.06253453224739,
      0.105644393496123,
      0.173960480708982,
      0.13740662351842,
      0.209677990152755,
      0.0655407669192582,
      0.0395188638919115,
      0.0870851505604444,
      0.100998813782264,
      0.0442382702796987,
      0.0284344830364905,
      0.0234148820915542,
      0.0220164840426096,
      0.0814249152193587,
      0.201481646403533,
      0.0768343530566961,
      0.152011624109139,
      0.119178236420755,
      0.140339507400797,
      0.198385063585666,
      0.139439330189127,
      0.491394875273944,
      0.284768397654033,
      0.301067370171563,
      0.190885547298285,
      0.121696877586382,
      0.160865014693517,
      0.0756749779742177,
      0.0986028027411593,
      0.107690319504959,
      0.125031557269408,
      0.129774206883574,
      0.119813061452129,
      0.0318130284910167,
      0.0581588264642113,
      0.0353013223408695,
      0.0175239123216893,
      0.218286971461234,
      0.105199762728529,
      0.130417195749854,
      0.104099476859352,
      0.18723963297906,
      0.07141214145817,
      0.184447210769863,
      0.113728148848648,
      0.164841796563662,
      0.116046741370057,
      0.162777592370828,
      0.139245796773676,
      0.168828736114557,
      0.0784245135758819,
      0.118928926797943,
      0.109088254976239,
      0.134611928749109,
      0.133084623379806,
      0.128098465508768,
      0.0544122411552484,
      0.0471045767053886,
      0.0383882611440801,
      0.170511599792903,
      0.104220715313516,
      0.103817451059686,
      0.124049222397304,
      0.102214974103953,
      0.103692466247764,
      0.134133139048096,
      0.0890556492651052,
      0.193794555866639,
      0.091398048199733,
      0.0602550630740477,
      0.047055256335484,
      0.0242148404784158,
      0.0458300772229606,
      0.0413800278922273,
      0.0572130996596921,
      0.0370442736282573,
      0.107867578455792,
      0.0497558894432889,
      0.0391511869449243,
      0.0308717110008835,
      0.040277763951637,
      0.0292720560645345,
      0.0143696807766644,
      0.00478053039632354,
      0.0331732284919899,
      0.00573026801079455,
      0.0208408464571471,
      0.0618490871056103,
      0.0442545317894274,
      0.0826463308399537,
      0.106113990080197,
      0.0833457648205568,
      0.0329657110633137,
      0.065987621891415,
      0.0546794031647153,
      0.0380208946981618,
      0.0479274852075299,
      0.0168859506865144,
      0.0282289403752067,
      0.0497100585875833,
      0.0233675265955025,
      0.0488299119340624,
      0.0133869114010834,
      0.00500417472419263,
      0.0666505604084885,
      0.0849565859241608,
      0.0825105592122932,
      0.0683835123440161,
      0.0876855675098829,
      0.0984746304369013,
      0.105845689164683,
      0.110059952412327,
      0.128193381886255,
      0.0774240585642383,
      0.0740116440575157,
      0.0855643125264078,
      0.0875131381016593,
      0.0688715815358681,
      0.0594632089186225,
      0.111459413073148,
      0.0550503336765618,
      0.0774059453218455,
      0.0434220891015732,
      0.0410495407227784,
      0.0589249275183677,
      0.0148966082849094,
      0.0121890901877107,
      0.0621784533034591,
      0.0992545438795643,
      0.0644822850756963,
      0.0886231067235755,
      0.0777909684843489,
      0.116974864848925,
      0.121603250760543,
      0.0733240791820584,
      0.127758426695854,
      0.0937073645091472,
      0.115901481290989,
      0.102079871074108,
      0.049803155035661,
      0.0229448027292054,
      0.0705500577784657,
      0.106028399719987,
      0.0317269186557862,
      0.0682678279114028,
      0.0479961328120784,
      0.0516270104182446,
      0.0626984963612139,
      0.0409211903179416,
      0.0192586531716461,
      0.0383056511140455,
      0.129885820945233,
      0.123571205433529,
      0.118075561374799,
      0.136827046521218,
      0.137586275116651,
      0.115982988895851,
      0.0765454127161318,
      0.0903546673568582,
      0.086998797324819,
      0.10999720205489,
      0.0879289611341977,
      0.0684909331246394,
      0.0946706813628524,
      0.141059710165557,
      0.0626849652027053,
      0.112325013452781,
      0.125637109620546,
      0.137149619060269,
      0.0622442454505883,
      0.18128880056927,
      0.0784759859031643,
      0.11092766514498,
      0.116541851851888,
      0.0982764495701429,
      0.333912627316783,
      0.319561032117171,
      0.285154835225455,
      0.140666786395025,
      0.231521979546823,
      0.0985410584728572,
      0.102915764169458,
      0.0659743305579435,
      0.0606963304612989,
      0.0946699480386848,
      0.0563822467160534,
      0.352967149392594,
      0.476752153775467,
      0.565388919349115,
      0.522348184087554,
      0.243161055292623,
      0.248031308317511,
      0.092113511278388,
      0.218122044063325,
      0.0163930945595457,
      0.131501551157633,
      0.145069763625849,
      0.0920519593215099,
      0.0685933985117075,
      0.109262903818238,
      0.120641223981165,
      0.12795486505527,
      0.115181385906957,
      0.179475218559009,
      0.30993954581337,
      0.64920668687741,
      0.324367610917136,
      0.365176441243775,
      0.155113233979562,
      0.0584894441925063,
      0.224067300476878,
      0.0870889092533639,
      0.0948143974971674,
      0.186908676062862,
      0.161800471816323,
      0.107277552417392,
      0.117184701957036,
      0.0472011513738389,
      0.0414813565187667,
      0.0583288322317026,
      0.109397316056949,
      0.189217295647614,
      0.157310452539341,
      0.144674915262568,
      0.133986776101292,
      0.148128054213697,
      0.130463651389956,
      0.192090227471663,
      0.128300359361588,
      0.242121153923702,
      0.112216145232754,
      0.152429633709277,
      0.110828217694382,
      0.155537391749497,
      0.177993878613096,
      0.132839914366963,
      0.204587393410204,
      0.127708810700023,
      0.112942078558872,
      0.0846159032882886,
      0.0642193466426852,
      0.0447892158832568,
      0.0514271598632123,
      0.0608607322098376,
      0.184849117626382,
      0.143028565858024,
      0.147448542442759,
      0.111361789226579,
      0.0992431090053164,
      0.0971247186031167,
      0.174048400148198,
      0.116041508813076,
      0.104127508351283,
      0.0820140927564809,
      0.122452109110053,
      0.127924748761896,
      0.108495801999608,
      0.13470412841561,
      0.11925680534893,
      0.108916612384345,
      0.152244264784672,
      0.129619205335891,
      0.231815272236626,
      0.15015909507654,
      0.0753940314365091,
      0.14961475055143,
      0.399029422371364,
      0.179196788740257,
      0.174276155500647,
      0.129669200879913,
      0.112163010285426,
      0.140344208405159,
      0.116907399990022,
      0.134233476323853,
      0.125186321400621,
      0.150655853509748,
      0.0996015079739606,
      0.137314550242522,
      0.0703328033189352,
      0.295516179578945,
      0.154458755217921,
      0.182688700355046,
      0.263116347523589,
      0.064987788130073,
      0.146827143470551,
      0.0839654086480837,
      0.18944142014092,
      0.0936350983387886,
      0.10049820302994,
      0.163379442686306,
      0.187021355171707,
      0.266566381474831,
      0.427083854012449,
      0.339207009118514,
      0.0946989937343894,
      0.259783401211943,
      0.274914923389624,
      0.40199277491539,
      0.128789140777211,
      0.28340153727352,
      0.209010311776619,
      0.0877347956714135,
      0.126256759275345,
      0.0912749645319769,
      0.110721389305183,
      0.130693371938343,
      0.0788644336886923,
      0.0951155492251966,
      0.0904918200829713,
      0.0636766348297013,
      0.0497489844208531,
      0.24025458573783,
      0.149649955617747,
      0.135381472273914,
      0.0842438064349614,
      0.184205338461011,
      0.123945757898838,
      0.133800449976139,
      0.122725236860414,
      0.107823265209845,
      0.0829099487479548,
      0.137968283379249,
      0.0584893326574809,
      0.136405118714185,
      0.112657055684447,
      0.118707809618996,
      0.0459687973528286,
      0.0391034523893724,
      0.146499987113528,
      0.276313575231111,
      0.244213230268301,
      0.160819823186834,
      0.0905824042276986,
      0.0371367140503875,
      0.180602500329049,
      0.305487931677551,
      0.27995403451318,
      0.266612759054249,
      0.240925726403392,
      0.128427410174578,
      0.242503419745712,
      0.0467583686456411,
      0.0457750603958469,
      0.0329164380599823,
      0.0681330884828972,
      0.0529105207395581,
      0.0354660204022993,
      0.00585932892984164,
      0.0117628173617178,
      0.00732346466523749,
      0.0060935710211752,
      0.00668156012962721,
      0.00367078436402326,
      0.00134821637253364,
      0.00180799963443389,
      0.000470343062196889,
      0.0016948585836466,
      0.00347440748420905,
      0.00221423871178919,
      0.000487284995809122,
      0.000191379401931047,
      0.000141235525720249,
      0.0000468219651764425,
      0.0000141221181778689,
      0.00000539320175456047,
      5.68533127790946e-7,
      4.27542931383455e-9,
      1.68879029082012e-11,
      3.36548858146925e-41,
      3.36548858146925e-41,
      5.88555567887839e-12
    ],
    "energy_curve_mid_6": [
      0.0120442832804112,
      0.0319045634929422,
      0.024776394592563,
      0.00525224120653532,
      0.0124934901824241,
      0.0124190292800261,
      0.00874468100582749,
      0.00496852415009858,
      0.00767061544680976,
      0.00125389302249084,
      0.00118866946681794,
      0.000909499597377379,
      0.000682660508901645,
      0.00868645116350877,
      0.0690021083095822,
      0.00973359263617882,
      0.00122160659488654,
      0.00342725306535921,
      0.000591721555872011,
      0.0089798703514122,
      0.0280813925957771,
      0.0634688624355835,
      0.0602744096403978,
      0.0184199118353053,
      0.00501722282947136,
      0.00882866892811722,
      0.00334057356990333,
      0.0196978110356544,
      0.0147454823535359,
      0.0120331881147484,
      0.00749109592234928,
      0.0123495825934037,
      0.00190779758697617,
      0.00143382648242304,
      0.00131660463304256,
      0.000671435627397319,
      0.00933924881358043,
      0.127401837508019,
      0.0208122496335319,
      0.00146332331964143,
      0.0022492677104765,
      0.0121678405828921,
      0.0147990838571119,
      0.0258768120917416,
      0.0272975091700968,
      0.00195833838472466,
      0.00135951474613125,
      0.00158796584648768,
      0.00244161936175989,
      0.00311617187169955,
      0.00678953234967677,
      0.00975999055542731,
      0.0130842772121682,
      0.0238011814359191,
      0.0746984317365986,
      0.0539641084356003,
      0.438866928491401,
      0.375366614949194,
      0.387816517775003,
      0.205512505861109,
      0.022767275133527,
      0.0873104100804084,
      0.0955050652631515,
      0.038389921331892,
      0.00110198329454303,
      0.0624415503014812,
      0.104427885711972,
      0.0438017775724842,
      0.00513819707822132,
      0.0105023354109511,
      0.00581666736389358,
      0.00715562707326012,
      0.0200135933763659,
      0.138134711421389,
      0.0349324023226426,
      0.110859002862295,
      0.0090032630864901,
      0.107065434871517,
      0.319224455433001,
      0.323245206199778,
      0.379486198357952,
      0.0595789977333211,
      0.0227226721207731,
      0.0296054006001922,
      0.0440268402855847,
      0.00639146637084461,
      0.0037742903336938,
      0.00321408381563667,
      0.00630463551599561,
      0.00572398415800542,
      0.0634473424028196,
      0.0700992078775866,
      0.0212593850453069,
      0.0712584840864728,
      0.117289439430672,
      0.0505901419185842,
      0.0359830497375482,
      0.365592210832029,
      0.422987012580394,
      0.282212077612627,
      0.242550884811844,
      0.0867832396136204,
      0.103729684576544,
      0.0654030285767009,
      0.0579320325131115,
      0.0313621405815385,
      0.0623658734187126,
      0.026449809184264,
      0.0624746111562608,
      0.0124052759141317,
      0.0153738902486006,
      0.0276375750832445,
      0.0138090619699089,
      0.0534057980593915,
      0.282132240716399,
      0.0923568921292569,
      0.0647523443478706,
      0.0717459335477298,
      0.0248240979440224,
      0.0798578056337973,
      0.294141638799329,
      0.296177525654615,
      0.241823537348383,
      0.0722025243553956,
      0.03925662930238,
      0.0578307749061169,
      0.0486126480833941,
      0.0410258406359249,
      0.0438377088403059,
      0.0695235319318933,
      0.0384005592488078,
      0.0887820799118768,
      0.0193685488538448,
      0.0180781236616785,
      0.0308567540227655,
      0.365523540715845,
      0.19261513169727,
      0.186701049868565,
      0.133687055256259,
      0.342022166200332,
      0.0515345189242467,
      0.152812494805256,
      0.0239143869515617,
      0.131601151191483,
      0.0822878167837077,
      0.0246714451675847,
      0.0543660360297838,
      0.105285451988178,
      0.161506291125742,
      0.0664920583889446,
      0.0980713188051356,
      0.0808630596531241,
      0.127671603919676,
      0.0455314967689166,
      0.0445883133283081,
      0.0347687411368516,
      0.0843064158078552,
      0.0441761591568841,
      0.00992427393376297,
      0.0016280932508554,
      0.00921902025476511,
      0.00288811855337193,
      0.0181880078619964,
      0.0334650979149524,
      0.0192502476847441,
      0.0833104245528282,
      0.0710792093179608,
      0.0530471880910602,
      0.0239004203525255,
      0.0683872746932448,
      0.0186160979759081,
      0.0563825825805309,
      0.0307653626141474,
      0.00786023131324483,
      0.0247050591540821,
      0.0131710343888168,
      0.0134923910521885,
      0.0325457628479891,
      0.00755551712095055,
      0.00175730326509463,
      0.012603785521334,
      0.014507879530769,
      0.06980923714604,
      0.0772227584711195,
      0.0509783530437077,
      0.0670800274476498,
      0.126377381794987,
      0.0980632970431838,
      0.0192369531972508,
      0.0588391577051515,
      0.135078090705941,
      0.123003467285602,
      0.12218929148925,
      0.07835071251223,
      0.137951721719258,
      0.0869444151128204,
      0.0533854191437993,
      0.0778859974627751,
      0.0409675640634479,
      0.0240394478902849,
      0.047847596803864,
      0.011550252496477,
      0.00484879975280233,
      0.0301453493090162,
      0.0393178586896515,
      0.0121104005539631,
      0.0434445806940074,
      0.024458755550415,
      0.0691973559207052,
      0.058809417054131,
      0.12203927577928,
      0.0987042185435178,
      0.124702221745834,
      0.117468973653479,
      0.12077042884854,
      0.10280830269489,
      0.0599320261559316,
      0.0907674434322073,
      0.0369592283864587,
      0.106946039742564,
      0.12357338530119,
      0.0614257594424554,
      0.0554791501500796,
      0.0544884363651935,
      0.0145274508622237,
      0.00543438846683216,
      0.0218543012472359,
      0.0251053218744523,
      0.0190786747100447,
      0.0847772490835155,
      0.0545860125907079,
      0.0419881230396331,
      0.0535381023381918,
      0.0131258165861222,
      0.0422624039690357,
      0.0364952459040398,
      0.0244314726052467,
      0.0872942018783085,
      0.182704979278281,
      0.414521203415115,
      0.562347362992707,
      0.577616395523688,
      0.471939201694605,
      0.279202243912402,
      0.173696527881269,
      0.126458863668522,
      0.0637508150749744,
      0.100511782883229,
      0.219164363081874,
      0.288265932182478,
      0.166712964263004,
      0.329921668941436,
      0.356599871943498,
      0.124241260483111,
      0.035453723850257,
      0.275932594344379,
      0.187818516016099,
      0.101896772546857,
      0.151723387187677,
      0.0362941168372238,
      0.0467483761050924,
      0.0399945701443367,
      0.196646414942995,
      0.246189290055161,
      0.204093913307423,
      0.209666826861001,
      0.0859402131922226,
      0.0962327488171844,
      0.044878810076151,
      0.114543067904558,
      0.00223862967351746,
      0.17463988494696,
      0.286494157964903,
      0.0614397381240932,
      0.0603474391886718,
      0.0427768673348435,
      0.124323853231402,
      0.184300260430356,
      0.0615686240226402,
      0.0608978064591939,
      0.168094456253567,
      0.169794316487542,
      0.113318074236131,
      0.254736026235707,
      0.283823090033518,
      0.116063695089776,
      0.200148588353229,
      0.148044450491606,
      0.130744329645207,
      0.211598908322308,
      0.0841354939728976,
      0.0654085763030188,
      0.0644521228572145,
      0.0198253045071173,
      0.0154538966008617,
      0.042472902518348,
      0.0349298152730668,
      0.0519097833661161,
      0.393355764899488,
      0.124801182395765,
      0.0540755703123985,
      0.0797692678611774,
      0.0364800419602888,
      0.230573369700622,
      0.282817249700162,
      0.183905417356491,
      0.221527773395283,
      0.0812758080202722,
      0.0515166275122738,
      0.164788790071392,
      0.0829214929006462,
      0.0713302191701831,
      0.0775877124339931,
      0.0490554462024288,
      0.0400016548604114,
      0.037709848557488,
      0.0230119480147889,
      0.0194289825854162,
      0.0319160192896079,
      0.0323758673168986,
      0.0147060649316574,
      0.0788059326629608,
      0.0181724100374874,
      0.00299364058701943,
      0.00575442047375605,
      0.0100015640771382,
      0.0565595596164692,
      0.055815682093671,
      0.209709938386562,
      0.0342149127447122,
      0.0197677675476399,
      0.0519681945973042,
      0.0333494264399877,
      0.0248308959010949,
      0.0207642322915438,
      0.0129051469632807,
      0.108814977327657,
      0.0237024288901885,
      0.289345380300435,
      0.374531703478908,
      0.0159933767889231,
      0.0850427142601664,
      0.119016314534759,
      0.0126528598695845,
      0.421688780161942,
      0.0927244760535576,
      0.0274912077200416,
      0.0620444359208342,
      0.0183637598243555,
      0.274989340566157,
      0.23412572151365,
      0.141273434753531,
      0.24929020656582,
      0.228192533572383,
      0.190730182677982,
      0.26609770403587,
      0.31989257404941,
      0.139881766226259,
      0.316164870237005,
      0.0761047921129528,
      0.0703830800004522,
      0.0906340298407306,
      0.0915761484926853,
      0.31333529496473,
      0.343543634023517,
      0.246046226810371,
      0.135413915681225,
      0.275185137892692,
      0.0881676414827456,
      0.0663319153319251,
      0.0245400594880436,
      0.224015766189448,
      0.0905266225462912,
      0.12735576490948,
      0.184239589069213,
      0.089520581155414,
      0.126670163738928,
      0.18430562798456,
      0.0668214787611796,
      0.0519801686412537,
      0.0972520515203787,
      0.102968276394043,
      0.129032971037643,
      0.0332799896563702,
      0.0509031321867715,
      0.0264895986002673,
      0.0262336848045933,
      0.106032108820341,
      0.066969361681804,
      0.242595165952085,
      0.324353294093706,
      0.180271731653512,
      0.373160662592903,
      0.181821881627759,
      0.171268231729633,
      0.393310673232942,
      0.210616772498074,
      0.250079475997112,
      0.200335468254003,
      0.133819778937673,
      0.131526676430572,
      0.209684876797215,
      0.0834268583021975,
      0.0794469716716246,
      0.142984662762706,
      0.294452389776179,
      0.413544859211938,
      0.400657336841222,
      0.134497843113098,
      0.0929317843149218,
      0.109594399292381,
      0.0821987617323358,
      0.0988240449551886,
      0.0799547676174396,
      0.0699933312383914,
      0.0394880594783113,
      0.0531621725793316,
      0.0557842370516484,
      0.0382546709652426,
      0.0190992204192929,
      0.13194015144147,
      0.0972273618680284,
      0.0492897728132256,
      0.0135957538906114,
      0.00736765015721385,
      0.00783015626446671,
      0.0106511495360825,
      0.00616903705771287,
      0.00217616749951712,
      0.00118062233467627,
      0.00079818077534405,
      0.000233131525980799,
      0.000608927120277906,
      0.00136580858345009,
      0.000720008241159095,
      0.000636047238786344,
      0.0000619270906570849,
      0.0000775146587368884,
      0.0000102602148022879,
      0.00000775885007864319,
      0.00000242803244015164,
      1.68235377009006e-7,
      1.86545342995292e-9,
      6.48222319625885e-11,
      2.3158150002065e-40,
      2.3158150002065e-40,
      2.12130301308991e-12
    ],
    "energy_curve_upper_mid": [
      0.00173767784802499,
      0.00264852440449355,
      0.00766805755033034,
      0.0010774460256778,
      0.00104105481510869,
      0.00711269120906451,
      0.0022781980649728,
      0.000253648916401355,
      0.00586828493106533,
      0.000221942489947669,
      0.000343125627184496,
      0.00731909191491978,
      0.000964177685284353,
      0.000894722675562059,
      0.00704343592089777,
      0.000811287963635137,
      0.000227753057524966,
      0.00691829330096052,
      0.000215851335889873,
      0.00137658221930593,
      0.00639297264776788,
      0.00229148669686838,
      0.0214287590919361,
      0.00702542238728345,
      0.00307221852452643,
      0.0073102089200614,
      0.00334205663012742,
      0.0059728865708924,
      0.00824223877299199,
      0.00114041599760415,
      0.00035147450138978,
      0.00753205823704915,
      0.000309010417127362,
      0.000279235045383195,
      0.00871658987031368,
      0.000919940476015256,
      0.0197735783325155,
      0.0410930368320628,
      0.00357983532218332,
      0.000879771163183064,
      0.00663040592023173,
      0.000320316342616229,
      0.00283536776852483,
      0.0255061574275619,
      0.0820867692612301,
      0.00626769752633534,
      0.00654672787899438,
      0.00765087222346634,
      0.010830039678951,
      0.0192904041042823,
      0.0266021641331856,
      0.0368015230146765,
      0.0331107124536063,
      0.0393056911941942,
      0.0843818784696829,
      0.0468437184915532,
      0.0625708703993591,
      0.106107275254791,
      0.0689475964634603,
      0.013225819390005,
      0.0318015608330339,
      0.0126428451698203,
      0.0212324747533475,
      0.0166265976452709,
      0.00377387715961098,
      0.0418387949725287,
      0.040307755595048,
      0.00757201691256829,
      0.0265596762378886,
      0.0093205126859922,
      0.00460203248712557,
      0.0332199192965411,
      0.0662442876014925,
      0.035647212832574,
      0.0481199365615602,
      0.102240348161104,
      0.0298650469754185,
      0.056400173486281,
      0.0724931349430817,
      0.0393598914247894,
      0.0544003436208741,
      0.00460028748802683,
      0.0253855140423469,
      0.00868479697048705,
      0.00908876232931908,
      0.0281655566298224,
      0.00937830409519943,
      0.0063509567275883,
      0.0285726936751453,
      0.0164707836619046,
      0.0655643953763635,
      0.0396397253307477,
      0.0244403328666467,
      0.0703010396201919,
      0.0434286149871329,
      0.0425718786802837,
      0.111634337725854,
      0.123576767942577,
      0.121801576930391,
      0.10344736899417,
      0.081202103673214,
      0.0624801427650944,
      0.0529004408021891,
      0.036509480682609,
      0.0141618061553477,
      0.034613608968859,
      0.0155718285695184,
      0.00598662225436208,
      0.0204024908081675,
      0.00465399578014681,
      0.0100462141794837,
      0.0374872094723632,
      0.0053479500946492,
      0.018753556836641,
      0.0952686416023647,
      0.0176145400543655,
      0.0593676765438128,
      0.0774627065489771,
      0.0118851548473225,
      0.0684153816682981,
      0.108574876067454,
      0.0374788754641085,
      0.240313674123378,
      0.0659686704675823,
      0.0297561983083371,
      0.044627667025011,
      0.0173637794980664,
      0.0136843260781867,
      0.0329593419087751,
      0.0292887521141347,
      0.0149797465232458,
      0.0560605356306437,
      0.00963435248905168,
      0.00841672267406854,
      0.0345339983499283,
      0.0169373193320648,
      0.0382759292013872,
      0.0768286429725096,
      0.0537773887755765,
      0.0581550712635982,
      0.0619386325877675,
      0.0437481567006403,
      0.0170207040133582,
      0.0345794111389947,
      0.0612461779770343,
      0.0266934914591652,
      0.0781760744990909,
      0.0662461740660831,
      0.110362165998657,
      0.0625206420690949,
      0.0215035795252541,
      0.043218079558241,
      0.0735477595864008,
      0.0237280339449104,
      0.0465922519635674,
      0.0146174083176306,
      0.0393515570741638,
      0.0361871960125472,
      0.00875277007238631,
      0.00645073826662225,
      0.0250918084739484,
      0.0143057422150988,
      0.00767510012591158,
      0.0386361232012121,
      0.0152222605245873,
      0.0405456810476858,
      0.0581501323701113,
      0.0192051940997617,
      0.0324106497431573,
      0.0403797375926019,
      0.0283539024172622,
      0.0374677990817366,
      0.014315581481131,
      0.00585119372444764,
      0.0341314486108536,
      0.00911695771241012,
      0.0100226651874152,
      0.035569605638978,
      0.0120405874255843,
      0.00681230573374167,
      0.038330733864472,
      0.028971413200396,
      0.0748702389703773,
      0.089421015548687,
      0.023784974161742,
      0.164522296796155,
      0.183163355324454,
      0.0465936428977077,
      0.00782949895239903,
      0.128530031201681,
      0.128067351496774,
      0.114339401187235,
      0.102948948328149,
      0.0732299030989105,
      0.0602484896252789,
      0.0493255065516187,
      0.0358017360781526,
      0.0502512205510667,
      0.0100209765382565,
      0.0080806601788959,
      0.0281413186015247,
      0.00617736465676634,
      0.00581625543618731,
      0.0521424492618957,
      0.0149619560432125,
      0.0066417943206176,
      0.0515452948315936,
      0.00739982034064901,
      0.0396796932812055,
      0.0425437645061726,
      0.0768139316818272,
      0.100812806278575,
      0.344746220405689,
      0.163316736024292,
      0.130722319529665,
      0.0669070108953488,
      0.0379123527081317,
      0.107117563319635,
      0.0411890900969298,
      0.123558771286654,
      0.0682311079842898,
      0.0285145664779427,
      0.039614363247236,
      0.0440943534389679,
      0.00645797085258484,
      0.00608957417069309,
      0.0565907334208075,
      0.00927982486670396,
      0.0126465409175663,
      0.09691926779008,
      0.0227495947312994,
      0.0200892197421367,
      0.0236329906229491,
      0.00672978941013426,
      0.040651402658675,
      0.0226760626812448,
      0.0523949395901598,
      0.0427248637678714,
      0.114356576350969,
      0.23159653611432,
      0.285871817875337,
      0.549354044170815,
      0.165161709275024,
      0.148092709949865,
      0.0411780846467158,
      0.0871937364436773,
      0.0679448257936597,
      0.0418356808419652,
      0.0184566913515352,
      0.125717566910543,
      0.0711342019942275,
      0.13415255822831,
      0.119110325821864,
      0.0738411121240641,
      0.0580981498777298,
      0.0757545097177807,
      0.116107568385744,
      0.106782526345622,
      0.0562032448846513,
      0.0896925022758562,
      0.0667682566588355,
      0.0895381364017755,
      0.0794269632248673,
      0.10041088426794,
      0.169049331972401,
      0.141055293782422,
      0.078279747878204,
      0.0678635628055279,
      0.0481309952343834,
      0.0487157946855561,
      0.00642984378592556,
      0.155180468203306,
      0.311457415351535,
      0.0802957867639781,
      0.0192037874791872,
      0.095331049381285,
      0.0361574579539057,
      0.112438165187307,
      0.0498805222361633,
      0.0427370614588727,
      0.0606502417106272,
      0.0779322999615101,
      0.0615723777885501,
      0.185442475109568,
      0.133148627254454,
      0.0601759774495539,
      0.136504069744367,
      0.108720230400922,
      0.0532850325659872,
      0.0352667887749189,
      0.0115980209668308,
      0.010510303557777,
      0.021255765113923,
      0.00863723142045762,
      0.00827843518721098,
      0.0422414202518971,
      0.00890690106787095,
      0.0106329747912017,
      0.084364623475387,
      0.027655400989837,
      0.0314923569014408,
      0.0827873554295408,
      0.0147311352487134,
      0.123837542559681,
      0.085914898737102,
      0.0524707655632284,
      0.193237281701664,
      0.0761497988375325,
      0.0616153488959748,
      0.114799544396448,
      0.0707121703258119,
      0.0196420682253771,
      0.0422000491308517,
      0.027884222793462,
      0.0202793851341548,
      0.0309002177339531,
      0.0155574893545305,
      0.0237514894393856,
      0.0665161256755216,
      0.056433668212715,
      0.00674225057545071,
      0.00747786777517593,
      0.00406458250122941,
      0.00337081166462894,
      0.00336426137955827,
      0.00301790618819862,
      0.0184931110804994,
      0.009332304858762,
      0.0230550840361783,
      0.0450410238732114,
      0.0212160963314434,
      0.0254360992912226,
      0.0127971272464565,
      0.0144858437701352,
      0.0182024687816767,
      0.0220430368000525,
      0.0247996051887098,
      0.048314310320289,
      0.0452072671671626,
      0.0785782471872182,
      0.0315543074093875,
      0.0526138076220335,
      0.13204415558666,
      0.038483814806123,
      0.0954694502837476,
      0.0327007800813773,
      0.0486849787487727,
      0.0884358046623148,
      0.0565831292581805,
      0.123876657908586,
      0.0800643327626417,
      0.095573801626788,
      0.0964909205067695,
      0.0516154535437351,
      0.0618662676017103,
      0.180588599520006,
      0.109620336903966,
      0.1096948856931,
      0.119483804561228,
      0.0228631330086414,
      0.0379082760916657,
      0.0521222979815003,
      0.0430447553564154,
      0.0872469136442167,
      0.112334477445252,
      0.0624704779616277,
      0.0863934677814802,
      0.144204458097853,
      0.0430793869928166,
      0.0399054988570631,
      0.0448684917626716,
      0.0334826243758303,
      0.0735744617695266,
      0.176779994583776,
      0.0290016858464654,
      0.0808054278616439,
      0.0498793800951219,
      0.0375506790264293,
      0.058765617876786,
      0.0438053909639232,
      0.0178599637829934,
      0.0564881426769435,
      0.0228284490189324,
      0.0301708461266874,
      0.0421893214014081,
      0.0387906272036901,
      0.0485042396286675,
      0.102369322078562,
      0.0503304087467382,
      0.0759066117312014,
      0.0542403558587499,
      0.0570271310350015,
      0.133547886672207,
      0.0810996386376906,
      0.0343994186043608,
      0.0727581086815168,
      0.0635292141516863,
      0.0520163440501373,
      0.093673006794966,
      0.0383784287345907,
      0.106182175812954,
      0.116188549399583,
      0.106974551028761,
      0.0661248896379047,
      0.0773666750940695,
      0.040082733759528,
      0.115429637371307,
      0.216790429387258,
      0.0526217185852365,
      0.086347849902576,
      0.101718633169454,
      0.0499493787980483,
      0.0438481541295994,
      0.0533775097688023,
      0.0480104436179208,
      0.041510111286247,
      0.0469048607911413,
      0.0490013336282468,
      0.0511038791161875,
      0.0307189303647665,
      0.0339810749867202,
      0.0644846804350042,
      0.0388823431148071,
      0.00406504853306392,
      0.0151650736747479,
      0.0168240546133727,
      0.006897470864291,
      0.00548356758274308,
      0.00247844978522896,
      0.00101252055886266,
      0.00158629655875013,
      0.000323936909979723,
      0.00133633824897343,
      0.00188251839422181,
      0.000991944327776151,
      0.00078372714320137,
      0.000113652422871714,
      0.0000989918392852938,
      0.0000162443915670868,
      0.0000117055929274126,
      0.00000322864618139757,
      2.75989492403019e-7,
      7.44503558472596e-9,
      3.91316858197618e-10,
      2.10981376493843e-39,
      2.10981376493843e-39,
      2.03178722755735e-12
    ],
    "energy_curve_brilliance": [
      0.000107008314970022,
      0.0017217547560127,
      0.0128070022485335,
      0.0013390261803045,
      0.00228152028825408,
      0.0136768481155831,
      0.00821193380849949,
      0.001328139789027,
      0.0151836874613749,
      0.000594788421792709,
      0.000521607809368708,
      0.0297955588701552,
      0.00167588077470537,
      0.00218074058940079,
      0.0144383177281253,
      0.000254923012389361,
      0.000745882103410153,
      0.0231780446204901,
      0.000406176913591123,
      0.00204927745395539,
      0.0127849471920711,
      0.00119502063970433,
      0.0387675102875558,
      0.0210047131882866,
      0.0217973456623384,
      0.0264751053212281,
      0.00771007196208245,
      0.00220306503345198,
      0.0284661421816202,
      0.0062262297241278,
      0.00151159393703859,
      0.01201063500231,
      0.000392104544753887,
      0.000332853532481492,
      0.020631264607477,
      0.00168140780981112,
      0.0183224859652026,
      0.0184698702694603,
      0.00233026133290511,
      0.00223221525797194,
      0.0219660166571017,
      0.000122764577159502,
      0.00836149142941267,
      0.0642598397363595,
      0.0538682622604824,
      0.00680165850545567,
      0.00488980093201205,
      0.00492820122985713,
      0.00679949193926169,
      0.0105262758834432,
      0.0136471531766608,
      0.0152501769746586,
      0.0189894892639237,
      0.0153903385418284,
      0.0797977623210449,
      0.0449375965114083,
      0.0510277603038205,
      0.0662034465560018,
      0.0638973226057174,
      0.017116827483861,
      0.0318703986352549,
      0.00792828362626284,
      0.0274630996661068,
      0.0234308203416934,
      0.00654274194115967,
      0.0234277839466985,
      0.0756510609422298,
      0.0143580988205524,
      0.0184194012992006,
      0.0140697261318038,
      0.00776232438604538,
      0.0219365923656735,
      0.0639534081387769,
      0.0260308417077226,
      0.0902171001851559,
      0.0969501586322451,
      0.028384041315136,
      0.0953193214465808,
      0.0328811267197113,
      0.00744279913063868,
      0.0235584486251078,
      0.00759257131527887,
      0.0213436428127981,
      0.0109798087246274,
      0.0100121580762006,
      0.023913130904363,
      0.0284181637408516,
      0.0132540403672309,
      0.0261001625035734,
      0.0225442538844449,
      0.0351641987080204,
      0.0421982853546448,
      0.0918608928245976,
      0.144683984935345,
      0.0579903409848876,
      0.0440900613379146,
      0.135433854731017,
      0.0463998387481013,
      0.0964966563433803,
      0.0846630977773219,
      0.0269924973068959,
      0.0656381295917091,
      0.0379946063491643,
      0.0276241826547402,
      0.0158425860562132,
      0.047138911555532,
      0.00802299214884592,
      0.0100454753446477,
      0.0141439113789152,
      0.00624333833893619,
      0.00894587394567213,
      0.0189343581421053,
      0.00874525515135043,
      0.0100591905343343,
      0.0143273338509079,
      0.0105618272400718,
      0.020927773683531,
      0.023920995299112,
      0.0109300877981243,
      0.0121072093457554,
      0.0258290949610491,
      0.010382773767131,
      0.0714884834292488,
      0.0379308240303482,
      0.0453323393659922,
      0.0304179818770005,
      0.0130657345927143,
      0.010804430846694,
      0.0196867613790925,
      0.00857006070708704,
      0.0140074052136433,
      0.0166874637389516,
      0.00837399052912233,
      0.00800392608005101,
      0.0166683316996455,
      0.00570417281012374,
      0.0920684580744761,
      0.0575532021877576,
      0.030266301631216,
      0.055037962039973,
      0.090224663170699,
      0.0119543737588865,
      0.0232600526484893,
      0.0300340293359674,
      0.0479915436448456,
      0.0197176205808971,
      0.0388985588484825,
      0.012213430633673,
      0.0353673657369524,
      0.0352615079103163,
      0.0063315614093179,
      0.0208003766051885,
      0.0292053572436462,
      0.00806359643984677,
      0.0242919267803663,
      0.0173757750706128,
      0.0110999031815277,
      0.0172892038722731,
      0.0135004918308008,
      0.0100286274491076,
      0.0204892714302123,
      0.0216518458655796,
      0.0061071569308955,
      0.0295885078693676,
      0.0229508263858533,
      0.011755574283738,
      0.0662760098382688,
      0.0216444271558713,
      0.0212851833927499,
      0.0240967066608979,
      0.0359745071669066,
      0.0229003880428328,
      0.0112221901973767,
      0.00636552135121172,
      0.0246189036435933,
      0.0122814735580077,
      0.0105865743069789,
      0.0206381858213426,
      0.0227562502725249,
      0.0119814277621444,
      0.0465763216216001,
      0.055546843618749,
      0.0382983856213425,
      0.0621137567874989,
      0.0236846283353994,
      0.0878597202776134,
      0.114141920138466,
      0.0358572979866382,
      0.0102916141645665,
      0.0862607132095019,
      0.102986976069756,
      0.0353472930364824,
      0.0302575273042326,
      0.0566364476585845,
      0.0457112989875539,
      0.032073949394627,
      0.0184148789272581,
      0.0297929668837194,
      0.00878738708820643,
      0.0118831689629305,
      0.0123263986279152,
      0.0108649854637545,
      0.00818457871977489,
      0.02910354813329,
      0.0141465388762241,
      0.00816678289828896,
      0.0219403439782884,
      0.00646784052835914,
      0.0102104195336211,
      0.0225086864219872,
      0.0235390849228593,
      0.0604368955763429,
      0.159749453021251,
      0.0950980631271891,
      0.1053726433524,
      0.0286095906144888,
      0.0134847676674991,
      0.0548473609178226,
      0.0476218815783581,
      0.0446444321383708,
      0.0246471615014442,
      0.0106076493059241,
      0.0139852630013112,
      0.0137917509575327,
      0.0100173682846727,
      0.0104588308685564,
      0.0443178760480134,
      0.00957740756319446,
      0.00754608592793868,
      0.0318849469797558,
      0.00888910941044844,
      0.0144279392656215,
      0.0189936480065019,
      0.0103904203749036,
      0.0376892714393638,
      0.0299595978710854,
      0.0342707791636493,
      0.0151518165670594,
      0.0207272043802517,
      0.0467091677431789,
      0.0599370284888815,
      0.0680547020240275,
      0.0489273885129956,
      0.0202573297843927,
      0.0338116550911999,
      0.0354063375635093,
      0.0543430442767704,
      0.0176874079313716,
      0.0158007701366824,
      0.111658631345842,
      0.0506322324684041,
      0.113600866049853,
      0.0952973216830609,
      0.0916293098323999,
      0.0807868318769578,
      0.0391833101099643,
      0.11567807670718,
      0.108395523122052,
      0.0798738037725255,
      0.0859204802029786,
      0.0474272519750052,
      0.0724979797086034,
      0.0876668084981745,
      0.0251453038660532,
      0.0237078699758181,
      0.0244722053515438,
      0.0233852674974479,
      0.0169455628988186,
      0.0174377662800635,
      0.0188863130077264,
      0.00964454844041293,
      0.0290485761088792,
      0.0539859112065297,
      0.0472743616158116,
      0.0210475350328467,
      0.0591535674873534,
      0.0214068943678725,
      0.0140447565105885,
      0.0375412986223444,
      0.0173080540211825,
      0.033598164996988,
      0.0202084458227136,
      0.0207363118114549,
      0.0384996024038767,
      0.0463397560264903,
      0.0583097512470476,
      0.0660320174391797,
      0.0572396591274719,
      0.100543912034763,
      0.0545865945893933,
      0.014003469847357,
      0.0206377542781379,
      0.0172347278042234,
      0.0145742260594937,
      0.00953014815758233,
      0.0264647959582009,
      0.0134745642072447,
      0.0234663623843343,
      0.0212372017387629,
      0.0138243488070663,
      0.0166371726162361,
      0.0372645489716131,
      0.0226105117859701,
      0.0167607623082561,
      0.0217784055082045,
      0.0362804594161357,
      0.0586455727653338,
      0.0655170293823794,
      0.0934909560606074,
      0.0667968674794539,
      0.0300376452037012,
      0.0363009555094515,
      0.0375681424701131,
      0.00953445894627967,
      0.0201630590805152,
      0.0139190936348518,
      0.0143774550559348,
      0.0187518368198642,
      0.0466016841542475,
      0.101100223315285,
      0.016165203377178,
      0.0142853787393734,
      0.0140818628074323,
      0.0147605713992756,
      0.014652314810236,
      0.0125557045638587,
      0.0752345081090235,
      0.016901160386921,
      0.0268487643357403,
      0.0613389470192086,
      0.0406503950346209,
      0.0519647750765038,
      0.0175853549387557,
      0.0245564710159284,
      0.0462377608627472,
      0.0543540798056419,
      0.0486998786195091,
      0.117731135984589,
      0.0813171168424218,
      0.0526933876212718,
      0.037398374968355,
      0.0880295687178176,
      0.133200034975392,
      0.0649511348917696,
      0.0215581187420997,
      0.0474559179572155,
      0.0760709537499127,
      0.109053855828027,
      0.122813753350002,
      0.100072909975333,
      0.121488726319876,
      0.156681992717058,
      0.109637839458006,
      0.0426095928548159,
      0.0594487696121614,
      0.0593718792647902,
      0.0547386280615515,
      0.0536408507715083,
      0.0552354629525023,
      0.0366027798194686,
      0.0227376206788872,
      0.0265766913695769,
      0.0252848195827324,
      0.0482914051529748,
      0.080671297935986,
      0.0222309792584694,
      0.0466524614360639,
      0.0512476589282065,
      0.0244648252050662,
      0.0447744045328723,
      0.0599905442400462,
      0.0435613538119543,
      0.0621208307844114,
      0.0747889652497917,
      0.0395381525553455,
      0.0647452251361379,
      0.0232509702639842,
      0.0296600102064653,
      0.0356191537811078,
      0.0407258379287942,
      0.0264269289330355,
      0.0362656964018351,
      0.0128908766105962,
      0.0294599360952347,
      0.0262474504506766,
      0.0300071367117799,
      0.0250142420609162,
      0.0693949665244558,
      0.0366100739371486,
      0.0245246090447682,
      0.0307838546481216,
      0.0484087201129206,
      0.141349960005269,
      0.0507546322517433,
      0.0488119505263544,
      0.0593881024133781,
      0.0540429526899839,
      0.0566501178357812,
      0.107975581471899,
      0.0214911791424497,
      0.0682115858850155,
      0.0571996217146572,
      0.0738025996436848,
      0.0369894235942879,
      0.031070313243062,
      0.0139071860449184,
      0.0155269648019528,
      0.027515779246666,
      0.0333973538886762,
      0.0607464154851741,
      0.0850766983902291,
      0.0345371875968223,
      0.0218066302633547,
      0.0255312150685419,
      0.0309153796434236,
      0.0300063375656003,
      0.0239152441631944,
      0.0353199714144374,
      0.0365109515803201,
      0.0247235981640812,
      0.0183859050242816,
      0.0173286079733938,
      0.0118308493897684,
      0.00231380222069278,
      0.0112051556501,
      0.0126514341321935,
      0.00441440603663911,
      0.00231523254698851,
      0.00125063538353705,
      0.000619714303053107,
      0.00100558991061493,
      0.000311317151133745,
      0.000662555279173512,
      0.00118893142689797,
      0.000556212709601587,
      0.000417275984241866,
      0.0000724651572621119,
      0.000047544194154084,
      0.0000131915874152808,
      0.00000896551314474215,
      0.00000161006304991917,
      2.22068777622614e-7,
      2.31536849108477e-8,
      1.9138387536874e-9,
      1.55926875203391e-38,
      1.55926875203391e-38,
      5.16276099359409e-12
    ],
    "loudness_range_lra": 7.9,
    "true_peak_dbtp": -0.79,
    "lufs_per_section": [
      -20.37,
      -22.62,
      -20.31,
      -22.35,
      -16.87,
      -19.96,
      -13.51,
      -12.25,
      -15.51,
      -15.6,
      -14.37,
      -17.67,
      -15.42,
      -14.57,
      -15.37,
      -14.83,
      -15.15,
      -13.06,
      -13.21,
      -14.25,
      -15.66,
      -13.52
    ],
    "essentia_energy_curve": [
      0.23556898309282964,
      0.4364996986069231,
      0.27124673571909697,
      0.2868477355338522,
      0.5261646144915765,
      0.30353352499674424,
      0.3944423712556135,
      0.2997651329915893,
      0.25840310225008084,
      0.38956592935538037,
      0.37008378047848006,
      0.07195406019026651,
      0.3714203238099662,
      0.42531185169433733,
      0.30072904280808554,
      0.3950469733459736,
      0.4121339133717751,
      0.16545778388899973,
      0.42466956664864336,
      0.3276351961157677,
      0.32337953873232095,
      0.4699649780053793,
      0.43806378394707574,
      0.38492059860060396,
      0.19391386451660172,
      0.12383997609545906,
      0.45422858225041746,
      0.2652128273913288,
      0.29084637277785574,
      0.4357402874505161,
      0.24859287146274742,
      0.20358538127825912,
      0.47715154666895576,
      0.1442040580116587,
      0.04768374529754599,
      0.4138184791824359,
      0.42798363132908734,
      0.43658728947343634,
      0.37198571427909993,
      0.17678475452551903,
      0.3829354714964232,
      0.39576114836514736,
      0.3934356599543787,
      0.48885720613040146,
      0.37796935452957536,
      0.3880293692374028,
      0.6648404518478301,
      0.7052911941066281,
      0.796004645175363,
      0.8337857477645182,
      0.8372288831908428,
      0.8554249972994419,
      0.8685675698235026,
      0.8132634249587456,
      0.8381164027688215,
      0.842158491331877,
      0.7831932874022632,
      0.8454092538414962,
      0.6294489718894518,
      0.7101261779883253,
      0.6699304452805003,
      0.45990867438566646,
      0.629664346210584,
      0.6663754667787786,
      0.4507118167409238,
      0.6183467404744262,
      0.6045237358761433,
      0.319002079965264,
      0.5982057320755879,
      0.5373951488469807,
      0.5199254372926597,
      0.6831066476488666,
      0.6495459370367803,
      0.6955668498062458,
      0.709131818680202,
      0.7638813019426824,
      0.8112060921767329,
      0.8054569121777244,
      0.7067077247691756,
      0.72522273811499,
      0.6811401355778351,
      0.5082371942196263,
      0.7377635895307891,
      0.4881204633242374,
      0.6298725073138111,
      0.6695672996962242,
      0.4930228535723066,
      0.8689796857448173,
      0.603889422237927,
      0.6176131537724654,
      0.5996820402004286,
      0.5940465354666329,
      0.575809438993403,
      0.7327503097767447,
      0.8498409371044576,
      0.916440717412311,
      0.8148275055753507,
      1,
      0.7701813603036766,
      0.8408433945869682,
      0.6607134175788678,
      0.7444200447642315,
      0.5389694522515197,
      0.6012184188723115,
      0.7577654346052681,
      0.7136604145911836,
      0.8052539658169131,
      0.6476112051201015,
      0.5672646145340152,
      0.6840352409658151,
      0.7259278809471152,
      0.78415556089699,
      0.7406716998822167,
      0.5299348727476679,
      0.6490028237241706,
      0.5442173476932373,
      0.6018813694691366,
      0.7059290536516911,
      0.8137676458675634,
      0.6809632016256356,
      0.72471402593077,
      0.7806505007604357,
      0.6841983332705814,
      0.5689503917297728,
      0.6561483486974988,
      0.5826622588588919,
      0.7029026494663013,
      0.6367259252045714,
      0.7620240530994246,
      0.5368708644999689,
      0.6684915027346864,
      0.622140854906313,
      0.8641005863953277,
      0.7192174740001052,
      0.77673841908787,
      0.805274917215897,
      0.6858831211000679,
      0.7108419168773868,
      0.621569397650295,
      0.7530967534485195,
      0.6870153765684723,
      0.9112058594364315,
      0.8349055205247945,
      0.776142862232654,
      0.7076551279354861,
      0.5204097076493953,
      0.5953785834908685,
      0.7392142984381578,
      0.5441382236539891,
      0.7497398934415175,
      0.6706849658989742,
      0.3020866719761898,
      0.7114075968505534,
      0.6270843858475105,
      0.6058938025148193,
      0.6865045409658479,
      0.4325749286766206,
      0.5318944643767912,
      0.5987117893505434,
      0.4541580146613063,
      0.6618742044464114,
      0.5565326881130037,
      0.5882698522419944,
      0.7637643913004045,
      0.6519052988671757,
      0.74371099526141,
      0.7192884264705126,
      0.6466596622013371,
      0.5922201698318299,
      0.7654433496266699,
      0.5115073283180883,
      0.667438570123415,
      0.5743622470524032,
      0.34391334896650283,
      0.7270562426525924,
      0.6465281264025502,
      0.7541303812977675,
      0.7440214150433719,
      0.6756869575086897,
      0.4995646048029009,
      0.6388217086005904,
      0.6424543758846916,
      0.5023837843485421,
      0.7363278593852807,
      0.7218081137604965,
      0.7014753507013102,
      0.7801705831241147,
      0.8242474221879522,
      0.8695606361973063,
      0.7283271560527549,
      0.658696053505597,
      0.6394815008809337,
      0.5541457522855517,
      0.6309424848108487,
      0.6619115838538493,
      0.6931459148261292,
      0.6615424475183797,
      0.6473559327595245,
      0.6650034570909077,
      0.7137736828158051,
      0.6737174029821594,
      0.7220858144792088,
      0.7227642976809617,
      0.6341431138324767,
      0.6370581055183441,
      0.682403506742077,
      0.6347893620664762,
      0.6880697995386819,
      0.6454966553570758,
      0.6996506573563949,
      0.6102216052574221,
      0.7733665599507956,
      0.5324342130699441,
      0.7629272771652291,
      0.5021251175517665,
      0.6525738663324865,
      0.7288990362629949,
      0.6498219033515666,
      0.7153318030032828,
      0.5918620296078426,
      0.5657033912009055,
      0.7240879576215391,
      0.7167446656568789,
      0.7224295808092922,
      0.6709305304324684,
      0.7034584860028285,
      0.6793096401178786,
      0.762880324584433,
      0.6679936740996315,
      0.7075399234630264,
      0.7953139805489368,
      0.9061985807862711,
      0.8816503042019381,
      0.8900970922923407,
      0.8798092966281127,
      0.8527974593937188,
      0.7848185392965003,
      0.7480787761728822,
      0.7189313069170526,
      0.6359408514459974,
      0.5673443785922054,
      0.7120915011479867,
      0.7989388397474048,
      0.859193398572851,
      0.6795968559773382,
      0.8447510996556825,
      0.8352524670372862,
      0.6348254193686815,
      0.679020008499368,
      0.807395092015277,
      0.6738427042123615,
      0.7369850929440862,
      0.6245183220066116,
      0.7568955363918168,
      0.8093815018549199,
      0.8138227917363196,
      0.9344702638453878,
      0.9061660776265991,
      0.9553314603268643,
      0.7028762551548865,
      0.8050816800337711,
      0.6908037834629253,
      0.6888004220535761,
      0.49258984899697394,
      0.6155776898077829,
      0.839746388513169,
      0.7569138250546567,
      0.7796623590233808,
      0.6531139639014277,
      0.8084320731456606,
      0.7974591174902794,
      0.7542293859769207,
      0.725729771639509,
      0.7965541903798367,
      0.920773042906522,
      0.6803413304443356,
      0.90362794664495,
      0.7703249394212366,
      0.8578592036886066,
      0.7402985892449037,
      0.6586490402996568,
      0.6324053268392587,
      0.7410495501474371,
      0.7113507584882921,
      0.6324150707427422,
      0.7882788210638059,
      0.7414854665175409,
      0.5700291400489829,
      0.6738755164128969,
      0.730438068408972,
      0.777640226522601,
      0.7931322664947444,
      0.6655028749678632,
      0.6468329920417221,
      0.5173383140911345,
      0.6175858491138896,
      0.7830800663324072,
      0.8532303279399531,
      0.6489736290673137,
      0.7163325055221913,
      0.7437506740907801,
      0.7687827433455969,
      0.6862256881351615,
      0.7043036833226322,
      0.5536495787157005,
      0.6561929028982048,
      0.7479950902505221,
      0.8106496871607655,
      0.5243819847803702,
      0.6806211904344971,
      0.6962695166504825,
      0.7889516902733287,
      0.7238235662309799,
      0.5439926034744557,
      0.5465234729042496,
      0.5141406092428856,
      0.5971878395848621,
      0.5100644267526957,
      0.6538582966728882,
      0.5662075760981963,
      0.6993541724500659,
      0.6732176340339661,
      0.6349393727663456,
      0.7605211800071634,
      0.7748469023823649,
      0.8556280371410411,
      0.7186526724216304,
      0.674011865636433,
      0.7776660472086722,
      0.7147285371895796,
      0.8781709986389037,
      0.8221178001892215,
      0.5001647625114463,
      0.5955855405472139,
      0.7960878700451414,
      0.8451490413384645,
      0.80417777425563,
      0.7747733697637481,
      0.6620806332943467,
      0.6717053315357433,
      0.6809029383012761,
      0.7548590939089111,
      0.8536433895254952,
      0.8882668782717701,
      0.9444006774373203,
      0.862195195018022,
      0.8179553007935092,
      0.7993249839211447,
      0.7528570529999464,
      0.778349162578868,
      0.7466941389106232,
      0.7858747749138342,
      0.7467622696118675,
      0.6974195670162714,
      0.8104283239059454,
      0.7433679668382672,
      0.8463505308406258,
      0.7787389174062813,
      0.8600160724225127,
      0.8553676632258941,
      0.7391562396348732,
      0.7386632216133937,
      0.8000024440640215,
      0.8111958981571761,
      0.8083955043414289,
      0.7400790163683867,
      0.9306867565145749,
      0.9436438574599263,
      0.7797797597006946,
      0.6341782150732574,
      0.7520407707289272,
      0.5733284873396874,
      0.7407536640566869,
      0.7489315044941882,
      0.692712621596147,
      0.5344780169047687,
      0.6570310491054586,
      0.7987458074822876,
      0.7821936120039612,
      0.8144168848087928,
      0.8355856146135147,
      0.8559550229490196,
      0.7615484140005916,
      0.7977129877162371,
      0.916962046321253,
      0.8389460464327988,
      0.8082030088113406,
      0.8942638225722137,
      0.8672545432652038,
      0.7931859565558333,
      0.8290790562471804,
      0.7361873984737015,
      0.6489944455073976,
      0.6771949027581429,
      0.6310089436073782,
      0.843849206086635,
      0.873070224374014,
      0.8417377944828426,
      0.7660301813675574,
      0.7097165184004778,
      0.7435358056192062,
      0.7753271835187517,
      0.7456141699018246,
      0.7559528275451037,
      0.6793743576899021,
      0.6103951357682968,
      0.6699218872664614,
      0.5000430002700144,
      0.4784360696809482,
      0.5191508356456234,
      0.5351139959061874,
      0.5698401220876534,
      0.40685980038077846,
      0.3623256376261663,
      0.223411089521155,
      0.2731018784500701,
      0.15135603068750253,
      0.20598611521341695,
      0.16972957428297308,
      0.11596671066600076,
      0.07153236085972493,
      0.06525012706106573,
      0.08507027868960575,
      0.06954065866764406,
      0.05254325433070582,
      0.048181731383173734,
      0.03334290226899377,
      0.021673123220639145,
      0.009770524108044106,
      0.0065379102189040104,
      0.0026820923196611275,
      0.00027382415531995225,
      0.000020199758662582173,
      0,
      0
    ]
  },
  "spatial": {
    "stereo_width": 0.2044,
    "stereo_image_motion": 0.1859,
    "height_perception": 0.0155,
    "depth_distribution": 0.555567264634371,
    "reverb_size": 0.237904636174377,
    "dry_wet_balance": 0.444432735365629,
    "analyzed_at": "2026-03-22T16:20:55.519879+00:00",
    "stereo_correlation_curve": [
      0.995908131616327,
      0.985910803593995,
      0.914877064503616,
      0.970346233079544,
      0.987262695236369,
      0.927407492173663,
      0.974812328355333,
      0.98544042953953,
      0.932768802720387,
      0.988488522607162,
      0.983362778894231,
      0.653946068564391,
      0.985827912544251,
      0.993319675603086,
      0.932998367172245,
      0.981683078969959,
      0.97560328760185,
      0.941274842894064,
      0.985568045557237,
      0.940376320453334,
      0.97237853023946,
      0.981552453764974,
      0.970191414465478,
      0.971812655437782,
      0.815496140394178,
      0.494563883866801,
      0.9619786670831,
      0.926584370979607,
      0.869142431240735,
      0.97390763941435,
      0.90320483972075,
      0.89524838416638,
      0.968763903700267,
      0.718631156341697,
      -0.332369201326042,
      0.97425675982338,
      0.960444406881546,
      0.978813885198143,
      0.966802115201255,
      0.848600307823075,
      0.9705293605518,
      0.972569734070584,
      0.876237025842154,
      0.942265602361185,
      0.950565471335118,
      0.955020202083849,
      0.972028347208386,
      0.96517569425112,
      0.971475433963885,
      0.965128563547611,
      0.967720356534758,
      0.974738295555162,
      0.951601587392117,
      0.814507003830402,
      0.909034871866599,
      0.953829240139278,
      0.974754291102291,
      0.978531381996828,
      0.965934490922659,
      0.97451196670811,
      0.979788659702375,
      0.960182442771613,
      0.981472728958864,
      0.985979916455739,
      0.961622415187138,
      0.987870409909706,
      0.971911477875214,
      0.98431725707131,
      0.984272428324609,
      0.966876626150759,
      0.984708144835818,
      0.927629479132336,
      0.906244254324641,
      0.930326868362027,
      0.954628814237404,
      0.967095953563895,
      0.979181130959746,
      0.980959431036921,
      0.976460799270081,
      0.979542896511406,
      0.968322706753837,
      0.970022031000621,
      0.985071317853754,
      0.965923740413053,
      0.98626969805918,
      0.984548295108552,
      0.965815979048044,
      0.983365165592218,
      0.958170369616539,
      0.945210218706624,
      0.951458654702785,
      0.934187718893453,
      0.946832062761357,
      0.972423250164807,
      0.981061082461692,
      0.986860469135136,
      0.961081995312801,
      0.929256686141871,
      0.933404529841592,
      0.976438480545209,
      0.922021729213225,
      0.955094403223495,
      0.940024336845811,
      0.940644420204445,
      0.961717891240161,
      0.956775594813264,
      0.966825941404308,
      0.98139189394519,
      0.881241343893788,
      0.926961018193822,
      0.954169139524042,
      0.959790507209566,
      0.953932704926721,
      0.926150791458681,
      0.968870290027963,
      0.887771215014415,
      0.931127936080328,
      0.968683085585273,
      0.977128715079915,
      0.96266216824936,
      0.953324049782277,
      0.983692477878669,
      0.869924900944656,
      0.70814402006079,
      0.887945119997626,
      0.801942031822537,
      0.903395310403914,
      0.81274325494442,
      0.900453624983426,
      0.919092418940053,
      0.892166312099072,
      0.822497136255813,
      0.946054547605666,
      0.905063642880704,
      0.935565929391841,
      0.896099210689809,
      0.928852148887247,
      0.880945068648884,
      0.877066050817286,
      0.927307237584363,
      0.942795158615082,
      0.861955434260114,
      0.841012417056939,
      0.909000989929734,
      0.959081294545817,
      0.957339715039883,
      0.958795316825997,
      0.975430501220011,
      0.94569707224729,
      0.9726864617949,
      0.958121292206129,
      0.926530160828759,
      0.959868870641744,
      0.952595206735783,
      0.979720663577312,
      0.981042190060015,
      0.957983096280741,
      0.972792191759901,
      0.976406917274922,
      0.772853868638761,
      0.886689358331498,
      0.878961718737509,
      0.848009461535873,
      0.932036719173398,
      0.942266289724457,
      0.96111719962489,
      0.971967326127145,
      0.958719546997516,
      0.963961778491948,
      0.977198921135041,
      0.956976735276837,
      0.974294157256077,
      0.970314345210711,
      0.91449638224875,
      0.984115132935401,
      0.979721475289868,
      0.912957926906688,
      0.907886273775398,
      0.871698437450661,
      0.842522051237957,
      0.893677917353488,
      0.904139282529142,
      0.811370731037432,
      0.895581499333627,
      0.910745385422929,
      0.913113977642452,
      0.850932266310966,
      0.93932654271103,
      0.959467386879125,
      0.946965015611085,
      0.928677772842988,
      0.943393557806394,
      0.898781062860681,
      0.941452039227574,
      0.961172365982122,
      0.947587466284198,
      0.969921023488956,
      0.969122632270385,
      0.934993231133089,
      0.930630716959257,
      0.912721532450384,
      0.92963534441092,
      0.954785569927634,
      0.932101045714044,
      0.926115572513488,
      0.905210384614818,
      0.900900373974151,
      0.920556150094802,
      0.898300661083596,
      0.945055102941363,
      0.935035211055513,
      0.95616266438611,
      0.919190194779962,
      0.940594966596097,
      0.905501132205834,
      0.93051192727743,
      0.967945758958851,
      0.936441034424511,
      0.973074512932349,
      0.974286151119467,
      0.91865987557599,
      0.962530510708035,
      0.944602130707026,
      0.919803847680219,
      0.89872681380963,
      0.9261664564319,
      0.904435011834075,
      0.951619333457553,
      0.904864330475918,
      0.931956700606996,
      0.925929557623989,
      0.80855673854744,
      0.726808678598291,
      0.93550173028501,
      0.957762008127163,
      0.954636085464416,
      0.953723763070759,
      0.9361018886335,
      0.939224910469131,
      0.924171824233214,
      0.934007110826864,
      0.974570143969055,
      0.985823288825967,
      0.982998782654796,
      0.984158693242258,
      0.984439451422887,
      0.98680601284454,
      0.977469373139711,
      0.97248746319413,
      0.984663977635167,
      0.922816087223873,
      0.940114544202475,
      0.920652673890499,
      0.93879839234177,
      0.848835069010874,
      0.92435902631421,
      0.933597034106593,
      0.919446112042947,
      0.946561688563247,
      0.867023610031472,
      0.944540091574853,
      0.937862730739163,
      0.943355520880119,
      0.906636695119134,
      0.975917145400659,
      0.982862596817498,
      0.972138232441409,
      0.93438768599386,
      0.89942527492812,
      0.928658419509385,
      0.907850214282242,
      0.898851369770392,
      0.918000958802487,
      0.931414377960762,
      0.908870893495859,
      0.834236213811657,
      0.876332594151603,
      0.885778656312004,
      0.970826288944306,
      0.924308554083209,
      0.881664490848306,
      0.931083991791281,
      0.915551406380339,
      0.908497786775476,
      0.887396754338627,
      0.945112342564744,
      0.966011909805487,
      0.871903684749922,
      0.838380835967064,
      0.906358583902917,
      0.892227706761194,
      0.907732339100441,
      0.902567172161884,
      0.918071286523167,
      0.833521901481781,
      0.886611546274822,
      0.935010324031667,
      0.950345221339896,
      0.906277785116023,
      0.943496174108249,
      0.966926541588959,
      0.972775436951037,
      0.865635101575927,
      0.935996600868008,
      0.850953126710196,
      0.897828522110087,
      0.92205540545657,
      0.939679062561696,
      0.913730244421476,
      0.91050172009699,
      0.90229147146509,
      0.907150435120025,
      0.893607663205284,
      0.88609793739291,
      0.72694426914489,
      0.774436155758957,
      0.819909530296526,
      0.790944400988115,
      0.83190029658198,
      0.819923633315669,
      0.863425644883578,
      0.887436341751701,
      0.889969134145756,
      0.948141878123567,
      0.900380452961049,
      0.926676246838047,
      0.823264964748818,
      0.865947905123635,
      0.880902818180229,
      0.932487903972579,
      0.923522228481363,
      0.906656216360231,
      0.86695197003703,
      0.989721441046226,
      0.939288436135296,
      0.94122470347066,
      0.934991108339838,
      0.90923360849149,
      0.869605829979388,
      0.893809121079299,
      0.901510948776719,
      0.919395004454158,
      0.951880256077195,
      0.940168378873728,
      0.654038415022078,
      0.902433285274702,
      0.957227565931137,
      0.921478418905842,
      0.950240605673982,
      0.947419133523683,
      0.946062372792549,
      0.953087245878605,
      0.941708089879356,
      0.957081455186174,
      0.96312393364698,
      0.944507455908573,
      0.944092324578965,
      0.94465667771447,
      0.945274405674258,
      0.938259367332059,
      0.932467007525012,
      0.91901744117091,
      0.944642541732441,
      0.923084638135613,
      0.925528818409853,
      0.910753720716213,
      0.937639985415492,
      0.892810924983205,
      0.953649865385757,
      0.860369837974385,
      0.903050639471378,
      0.876478457863748,
      0.915211176272036,
      0.922586913036607,
      0.891266756933501,
      0.877625000705578,
      0.975458861808621,
      0.942151627555515,
      0.931969968682559,
      0.897952223283119,
      0.94389846517469,
      0.912457223301597,
      0.901357130204175,
      0.913477868207393,
      0.791140785028304,
      0.872403980314894,
      0.813779238163078,
      0.855836017929953,
      0.723739300935379,
      0.917369543467418,
      0.928756081041674,
      0.907032679320414,
      0.830690123735685,
      0.880995800427207,
      0.843083770459698,
      0.94829167106885,
      0.947197595186731,
      0.959692238756223,
      0.961372409503944,
      0.92521698097586,
      0.912191312037989,
      0.933582410173502,
      0.926767400461499,
      0.931978381336114,
      0.890358531717475,
      0.864730852772493,
      0.916827790078643,
      0.852960866473585,
      0.852508881518621,
      0.895286084070241,
      0.931127266966188,
      0.864273204450359,
      0.926779277244384,
      0.971637679787762,
      0.792119591919122,
      0.893180082080796,
      0.852975325004392,
      0.893716798505344,
      0.906747757599699,
      0.855243020000606,
      0.880149235914191,
      0.921405000400681,
      0.906592911897844,
      0.883597868372519,
      0.871901951023945,
      0.922185539997091,
      0.871287874696234,
      0.911522062279622,
      0.885265371003005,
      0.892396163675298,
      0.929053651776137,
      0.882423576254317,
      0.112963739095539,
      1,
      1
    ],
    "mid_energy_curve": [
      0.235601723874665,
      0.436554000910264,
      0.270383438825957,
      0.286881127677108,
      0.526197206729964,
      0.302741058653806,
      0.394431508263866,
      0.299802594373936,
      0.257498494533449,
      0.389619573834411,
      0.370144293950192,
      0.0653767904103389,
      0.371460453946916,
      0.425300834988941,
      0.299779790941255,
      0.395106096142901,
      0.411463908902038,
      0.165471950624889,
      0.424725130340472,
      0.326918254607466,
      0.323424981990191,
      0.469434090034747,
      0.438084168661901,
      0.384152491862414,
      0.193878557887084,
      0.120303046513698,
      0.454247331975884,
      0.265183887054285,
      0.289774046611667,
      0.435763837359833,
      0.247550599559611,
      0.203604919152957,
      0.477224005124268,
      0.141227349200704,
      0.0468180362637662,
      0.413705617577397,
      0.427444521714465,
      0.436654975822605,
      0.372036568729066,
      0.175250040001319,
      0.382991936584383,
      0.395681267617585,
      0.391684637933225,
      0.488547344918465,
      0.377692025100893,
      0.388026368535955,
      0.664883582961392,
      0.705379649481147,
      0.796036992854646,
      0.833921779238805,
      0.83730792493852,
      0.855515153506833,
      0.868633197277118,
      0.813118650547945,
      0.83814443359494,
      0.841498999001193,
      0.783085053225296,
      0.845270260227667,
      0.629239561945125,
      0.709904490333679,
      0.66985903768959,
      0.459392664074884,
      0.629328519940603,
      0.666362073869182,
      0.449058115572982,
      0.618262580044803,
      0.604013838728486,
      0.318457463348726,
      0.597954277640455,
      0.536923227830686,
      0.519313358969215,
      0.682828449013764,
      0.64887167694908,
      0.694921568714431,
      0.708915986134961,
      0.763123928982185,
      0.810909424460146,
      0.805483683963227,
      0.706321316413458,
      0.725201902459762,
      0.680742139990258,
      0.507949087833623,
      0.737620668303397,
      0.48769709678372,
      0.629337912001905,
      0.669523958471951,
      0.492647615384094,
      0.868625322710437,
      0.603775674099743,
      0.616709362780275,
      0.598956972464546,
      0.593011633606763,
      0.575173156231324,
      0.732443386790622,
      0.849343051736648,
      0.916368164285541,
      0.814242170754553,
      0.999999999724764,
      0.770066015725681,
      0.840485066514234,
      0.660455902777965,
      0.744196341616001,
      0.53867322723551,
      0.60073354853192,
      0.757858632781399,
      0.713622188101372,
      0.805164271852215,
      0.647667975607774,
      0.566929141129846,
      0.683978176762609,
      0.725901754573567,
      0.784141721641848,
      0.740671652758737,
      0.529776320326739,
      0.648911049782487,
      0.544036914506446,
      0.601816752597655,
      0.705784861558291,
      0.813779786042233,
      0.680646988976191,
      0.724462349405606,
      0.780702914777452,
      0.683884010069378,
      0.568774824722523,
      0.656034374599758,
      0.582407053089079,
      0.702795069048204,
      0.636655353090545,
      0.761995569198137,
      0.536681125918603,
      0.66843981109875,
      0.62186404592721,
      0.864209167283455,
      0.718831706121499,
      0.776506508976922,
      0.805171490205006,
      0.685630974484961,
      0.710571531752978,
      0.621340551296373,
      0.75283269059703,
      0.686945822053905,
      0.910986554172732,
      0.834854833363808,
      0.776087106274404,
      0.707268725217307,
      0.519791410788162,
      0.595019402030297,
      0.739153830030908,
      0.543171901559174,
      0.749677286106426,
      0.670288201573723,
      0.300169151351616,
      0.711254322305639,
      0.626668146803352,
      0.605630052526464,
      0.686274884364633,
      0.431898860587178,
      0.53123131057459,
      0.598558855700089,
      0.453088007098896,
      0.66154612012965,
      0.556240155100547,
      0.587337762232645,
      0.763546776807626,
      0.651278464431171,
      0.743606159248582,
      0.718661500643752,
      0.646178493117324,
      0.592058113811062,
      0.765265154905621,
      0.511033662237463,
      0.667016237090888,
      0.574188138168898,
      0.341926563501587,
      0.726973597936329,
      0.646355342760709,
      0.753495712706252,
      0.743546361757845,
      0.674740448764661,
      0.498888578599373,
      0.63641591704739,
      0.640017793063479,
      0.501779036731844,
      0.735883834189743,
      0.720856700159649,
      0.700355839991922,
      0.779832282998746,
      0.824172163393201,
      0.869260291675857,
      0.728166840868761,
      0.658086724554451,
      0.639275984274076,
      0.553711352848264,
      0.630802294311059,
      0.661762752740123,
      0.693081544966557,
      0.661393632426935,
      0.647236720041866,
      0.664709030066622,
      0.713747689007856,
      0.673615780183745,
      0.721787621589509,
      0.722796960579238,
      0.633853401806503,
      0.636962748284694,
      0.682213945719043,
      0.631400023138214,
      0.685593939413537,
      0.644246394357993,
      0.696951730436965,
      0.610021558919198,
      0.773159325976933,
      0.531661540806295,
      0.762417022569062,
      0.501758242954201,
      0.652144543726014,
      0.728861607324918,
      0.649538800395115,
      0.715213506784894,
      0.591761628172835,
      0.56535701670261,
      0.723987988789791,
      0.71667497714491,
      0.722226464628522,
      0.670824123255104,
      0.703402969190657,
      0.678971223767686,
      0.762857178035855,
      0.66777145725167,
      0.707325897852483,
      0.795241251486149,
      0.906157804262342,
      0.881670198631975,
      0.889894609343486,
      0.879434559935099,
      0.852735513495055,
      0.784767995773224,
      0.747989175874113,
      0.718881660403884,
      0.635817573019713,
      0.56708253112666,
      0.712074835748488,
      0.798832217946315,
      0.858289871914436,
      0.679323241506363,
      0.844402581411466,
      0.834959253399072,
      0.634731087884528,
      0.678802699838031,
      0.807289256481871,
      0.672854982204896,
      0.735968813888513,
      0.623853522388557,
      0.756218016029382,
      0.80920622130836,
      0.813312561752473,
      0.93446350838559,
      0.906078484408375,
      0.955392630143352,
      0.702776038845391,
      0.804901622242698,
      0.690785862698736,
      0.688587136033179,
      0.492367453066384,
      0.615416252296441,
      0.839616485403934,
      0.756670967667032,
      0.779531162849921,
      0.653036338402676,
      0.808353717438369,
      0.797438829777398,
      0.75401149682388,
      0.72571637414961,
      0.796501182155164,
      0.920779808242028,
      0.680254655096641,
      0.903492591547652,
      0.770213335744011,
      0.857531124603994,
      0.739922338522965,
      0.658403675863376,
      0.632100531465909,
      0.740739981030045,
      0.711213226910771,
      0.632364329449734,
      0.788164640895181,
      0.741473135998773,
      0.569864344846949,
      0.67358579941164,
      0.730441770372307,
      0.777502395581903,
      0.793201082501791,
      0.665437386471278,
      0.646721264031183,
      0.51714928859973,
      0.61729109639386,
      0.783054129145724,
      0.85321578003588,
      0.64884665879452,
      0.716078560745534,
      0.743337931820999,
      0.768073750355301,
      0.685801179962708,
      0.704278194466594,
      0.553042137720454,
      0.656039214177197,
      0.747956611259816,
      0.810572294574101,
      0.524218393744331,
      0.680371830289394,
      0.695954449377467,
      0.787808398779586,
      0.723853711022527,
      0.543958086812896,
      0.546529666008141,
      0.514164704787396,
      0.597117851010771,
      0.510039457180575,
      0.653518163451491,
      0.566236425342097,
      0.699252826469379,
      0.672833122079682,
      0.634774110907698,
      0.760132085803692,
      0.774848912690499,
      0.855603824408734,
      0.718172457242146,
      0.673640388204624,
      0.776987923892056,
      0.714070300161583,
      0.877587563914643,
      0.821849166222205,
      0.50018447799224,
      0.595002135402313,
      0.795456243561897,
      0.845090621675249,
      0.803984727384739,
      0.774308930685673,
      0.661292370421017,
      0.67083737057301,
      0.679798955563326,
      0.75428661449731,
      0.852399367929845,
      0.887668649801489,
      0.944287768561194,
      0.861713093698942,
      0.817814845252532,
      0.79880596939071,
      0.752659368103304,
      0.777901865787509,
      0.746625071250043,
      0.78570670974303,
      0.746559613914504,
      0.697182553672812,
      0.810191280384155,
      0.74306125563958,
      0.846213157561022,
      0.778611807189874,
      0.859860847967364,
      0.855338960077338,
      0.738919561672138,
      0.738439541211521,
      0.799903159014978,
      0.810975127875894,
      0.808208940248863,
      0.739735727697965,
      0.93057667148772,
      0.943554859672675,
      0.779627872371976,
      0.633887565942157,
      0.751551268923114,
      0.573057727716443,
      0.740342971626527,
      0.748904840331028,
      0.692434600097643,
      0.534082764993968,
      0.656854641962398,
      0.798498861290138,
      0.78198212172949,
      0.814251603829223,
      0.835485044778525,
      0.855852611499823,
      0.760740888240243,
      0.79723130213465,
      0.916835798708982,
      0.838800073297898,
      0.807984433071708,
      0.894132520672566,
      0.86672673187287,
      0.793163924390263,
      0.828435831117468,
      0.735470501465709,
      0.647805780524698,
      0.676615661982392,
      0.630701770545767,
      0.843801161381179,
      0.873049188650628,
      0.841652224944534,
      0.76579627802293,
      0.709350317703479,
      0.742253784447797,
      0.774788869119554,
      0.745477517209709,
      0.755705102847523,
      0.679207952928544,
      0.609926366891764,
      0.669521374629759,
      0.499219966613879,
      0.477976928536435,
      0.519031884223725,
      0.534820964606976,
      0.569810125174279,
      0.406789656349402,
      0.362324726195512,
      0.222213196941549,
      0.272838601575759,
      0.151258070671485,
      0.20588684143577,
      0.169709267260131,
      0.115883435710451,
      0.0714915196051786,
      0.065114602201213,
      0.0849256790370124,
      0.0693728971742547,
      0.0524224720056365,
      0.0481702572644204,
      0.0333223875397605,
      0.0216718789813035,
      0.00976002619193672,
      0.00653619922744498,
      0.0026793879600508,
      0.000264435553454554,
      0.0000133656794230794,
      0,
      0
    ],
    "side_energy_curve": [
      0.0269014161954498,
      0.0907929324821708,
      0.13407966832033,
      0.0811923766922934,
      0.113655870363296,
      0.137049248702794,
      0.108449796803555,
      0.0622788851300856,
      0.112680949335944,
      0.0807479906496539,
      0.0912777698899435,
      0.0748490213024271,
      0.0831437252605223,
      0.0608256844597192,
      0.12866072144549,
      0.101434111012799,
      0.113235180892228,
      0.0663324758428347,
      0.0932490694235667,
      0.13252387112493,
      0.0984546585358212,
      0.10856168054138,
      0.127593613606172,
      0.113711841771689,
      0.143641929127179,
      0.183392806826283,
      0.153299791509987,
      0.119375718206291,
      0.181516021815721,
      0.124079360643441,
      0.130795126176806,
      0.113639387332958,
      0.157172216586427,
      0.133589561069166,
      0.131271727977306,
      0.118361296985091,
      0.140869447977017,
      0.112974016433767,
      0.113677623237024,
      0.11575527671765,
      0.118099010026357,
      0.119801866573428,
      0.231855763624794,
      0.199074407415708,
      0.145369527943445,
      0.142681423366503,
      0.214939164602454,
      0.246383138537854,
      0.262975843060112,
      0.291281967914097,
      0.284507052524194,
      0.254742457156452,
      0.334876097498312,
      0.618849997839787,
      0.421813389237085,
      0.30139385211821,
      0.212413987986318,
      0.222328406668567,
      0.196523956819721,
      0.220890401107171,
      0.190957607935231,
      0.155313923290903,
      0.200894961070444,
      0.203580950620555,
      0.149627726824539,
      0.123456904702089,
      0.176869095181884,
      0.0770178986079429,
      0.143229014447482,
      0.167138636570837,
      0.129246489351574,
      0.310384393996088,
      0.334984590103731,
      0.309993693006021,
      0.2588077986747,
      0.239789902771228,
      0.202070774199445,
      0.196275411627498,
      0.185091433319691,
      0.210200299288289,
      0.215796400337933,
      0.166987642560311,
      0.199996440956471,
      0.162296654836775,
      0.185322195744417,
      0.191726331570166,
      0.156972257932374,
      0.247385164992872,
      0.210790828958693,
      0.252157398104652,
      0.224616582121612,
      0.261065489383465,
      0.225958761606995,
      0.216292805406423,
      0.200679228333596,
      0.186547032595905,
      0.270859245194167,
      0.441431716444955,
      0.330285780325655,
      0.273805536649896,
      0.311577718129361,
      0.286299957224816,
      0.222908727494374,
      0.250527267759537,
      0.252675544231079,
      0.251101917005013,
      0.281631821243698,
      0.164035195076764,
      0.329864925433494,
      0.330436289888695,
      0.260131545524006,
      0.26324401428344,
      0.264975571390146,
      0.240873765404109,
      0.19673924055646,
      0.308024354893929,
      0.263981792358193,
      0.219468630444473,
      0.208720489453536,
      0.219881852334772,
      0.266604118419086,
      0.230318080039077,
      0.419716511462295,
      0.542375590232875,
      0.371535089548267,
      0.445049523011901,
      0.36692385842314,
      0.47173203983815,
      0.416224424926025,
      0.261508227123071,
      0.379546291292452,
      0.451751298647115,
      0.336843875925813,
      0.370191090430861,
      0.329131613728253,
      0.439527719664596,
      0.307411966007666,
      0.412126093715517,
      0.369014757406997,
      0.346350295297984,
      0.281899637993255,
      0.572199642667756,
      0.566044276534284,
      0.390733554390534,
      0.238563021787662,
      0.17705042033139,
      0.20796855605954,
      0.20397595255904,
      0.20987205657662,
      0.245873192571324,
      0.244005990168363,
      0.138276992239202,
      0.250467527113381,
      0.239723096281244,
      0.149553535464332,
      0.173821778701505,
      0.152659517353762,
      0.160811551527046,
      0.163953666109502,
      0.37392362834159,
      0.378131610105168,
      0.325440738301373,
      0.388412082034628,
      0.333869061147334,
      0.263313538405667,
      0.246945735675127,
      0.223196772880446,
      0.217335360029224,
      0.214804700885435,
      0.227747956148816,
      0.177796233144945,
      0.200800647415853,
      0.182028378203893,
      0.166852032711433,
      0.218629118397529,
      0.205819901482642,
      0.398370242780181,
      0.400009329495903,
      0.408150221376994,
      0.336671719831175,
      0.349765862762952,
      0.331857611551283,
      0.376761592612993,
      0.399897882942394,
      0.364155016537023,
      0.344708112844665,
      0.514482947216621,
      0.355278733371235,
      0.312070413039051,
      0.292588156495961,
      0.306201674396569,
      0.261833350465558,
      0.299030268278345,
      0.262685529041908,
      0.225367948357575,
      0.287513013731324,
      0.256692275579571,
      0.247425126002623,
      0.313794549828157,
      0.326776277311452,
      0.335933232808881,
      0.322485065106513,
      0.264490556745488,
      0.276400473704106,
      0.288753624665609,
      0.353402503702914,
      0.333994261283146,
      0.323279866195179,
      0.345937735092057,
      0.275601418930192,
      0.266132715567223,
      0.297425045623517,
      0.263342770675958,
      0.329499911976011,
      0.257697563193279,
      0.294370048878106,
      0.226866379881083,
      0.300608598189769,
      0.275398541775427,
      0.20740697508041,
      0.277760022404253,
      0.269284719967882,
      0.288999747620399,
      0.342398503544284,
      0.35889117556845,
      0.32478302403563,
      0.355376379079271,
      0.303586296021582,
      0.357051503961681,
      0.320417372338844,
      0.370557805362444,
      0.680076030884032,
      0.80959824175025,
      0.38718243615565,
      0.305858850997132,
      0.317183744444585,
      0.288031467068352,
      0.332659549378533,
      0.306463417828855,
      0.320196393390189,
      0.244968055613631,
      0.24670424451094,
      0.214699516701875,
      0.214526958870298,
      0.154126908790748,
      0.185352136962249,
      0.17345645803342,
      0.166551072664315,
      0.190244477603335,
      0.184885531322083,
      0.318284716344798,
      0.308979590811215,
      0.296882771649098,
      0.315137509155835,
      0.540622315699818,
      0.377835884454065,
      0.402905616518378,
      0.435999145961528,
      0.376452609642865,
      0.435780128434405,
      0.330168236823291,
      0.319792175133666,
      0.28395412070507,
      0.273602564968793,
      0.193276067264087,
      0.223363422815844,
      0.244677552542749,
      0.372728508207879,
      0.366547619962917,
      0.389560577051699,
      0.416664728612405,
      0.422338719365264,
      0.36544577369407,
      0.360528773494336,
      0.465040473047532,
      0.473282697163875,
      0.534739752580278,
      0.437228177419303,
      0.293547031677292,
      0.345955506043762,
      0.38381774749257,
      0.279394949961066,
      0.365111883033654,
      0.361182304969585,
      0.35762506615426,
      0.317301949631321,
      0.242766584444899,
      0.34560930332771,
      0.466119632995054,
      0.37740914529731,
      0.428425648429406,
      0.404579488926798,
      0.352341941812561,
      0.314579614703921,
      0.362825928949572,
      0.354491069021152,
      0.34097113219601,
      0.323599696062691,
      0.340711208395747,
      0.288576104201242,
      0.249878769811831,
      0.246558508528013,
      0.425927789925198,
      0.309048547775409,
      0.362512172399332,
      0.356468938135326,
      0.351936518345218,
      0.36066361531671,
      0.267665460151734,
      0.355314913327431,
      0.370732868142001,
      0.422891840237066,
      0.396247417525375,
      0.309905169089685,
      0.501241130511971,
      0.426713587380088,
      0.435133284697629,
      0.405375306173607,
      0.461443462275134,
      0.412774308084206,
      0.437626275095386,
      0.380763861431641,
      0.353526238680473,
      0.299171845102363,
      0.411210747913228,
      0.39749379456633,
      0.517203887880523,
      0.425986538044796,
      0.456862810420626,
      0.331705613198407,
      0.411147368003027,
      0.43561229691977,
      0.326692267027796,
      0.103985235108951,
      0.327349272345998,
      0.351840904953467,
      0.345988779315038,
      0.395893723596969,
      0.410188870927051,
      0.371160009035696,
      0.368160924619717,
      0.363109626124056,
      0.32082296122728,
      0.377407302033702,
      0.999999999365644,
      0.478546490869278,
      0.291557819402456,
      0.378661099392257,
      0.291111749609406,
      0.300931169321107,
      0.292247152728546,
      0.289095644591166,
      0.317263311990315,
      0.26472375322344,
      0.278888312416395,
      0.304973470044259,
      0.338422016784559,
      0.304581776527634,
      0.335070490914164,
      0.356310511991407,
      0.324488172753161,
      0.352441430784204,
      0.321587679308606,
      0.379638147262233,
      0.370486012608085,
      0.372822207441268,
      0.384854134271761,
      0.55016578939682,
      0.316513363649435,
      0.401146008720618,
      0.400847447279348,
      0.339925150993425,
      0.364275017724198,
      0.352985926127586,
      0.394287886520939,
      0.317734005894636,
      0.20557191163266,
      0.328380932808246,
      0.346141675668134,
      0.438089028787244,
      0.344724914901396,
      0.423703821487819,
      0.402615893289792,
      0.401162928935272,
      0.741851261957017,
      0.514193223988035,
      0.605640320090346,
      0.593564485775455,
      0.805482470430223,
      0.404804083507915,
      0.383324130951076,
      0.378446311918797,
      0.45849428776607,
      0.39829112423456,
      0.424144030647861,
      0.31986644920442,
      0.33438725453693,
      0.306023563142584,
      0.295340125430592,
      0.33663714682274,
      0.370120928255847,
      0.334866219495902,
      0.337090046143772,
      0.330053552742677,
      0.377769054332495,
      0.378732065041151,
      0.328512088103406,
      0.325133976700209,
      0.313017685112288,
      0.285256291917533,
      0.236091985132105,
      0.374400017457828,
      0.19298207853446,
      0.132720982173025,
      0.17468716733371,
      0.150937483775695,
      0.0983349232039746,
      0.112730221190072,
      0.0911462778447019,
      0.0749393707586826,
      0.0427568920772998,
      0.0315426328476306,
      0.0433247295184821,
      0.0398249243158552,
      0.0316901146138789,
      0.023785500178596,
      0.0207904375629406,
      0.0115472873372429,
      0.00558761398753993,
      0.00362685746389052,
      0.00130653096290999,
      0.000173176891401473,
      0.0000275188650101681,
      0,
      0
    ],
    "stereo_width_curve": [
      0.0472030060003089,
      0.0827685953898227,
      0.177061057027003,
      0.109366631476699,
      0.0856862584343528,
      0.164170660069234,
      0.106582125758304,
      0.0826797268174323,
      0.159569599477508,
      0.0825027329332196,
      0.0966541717943575,
      0.331884349254785,
      0.0885191140145474,
      0.0584274784187073,
      0.156982980679762,
      0.100225156295892,
      0.106668212413227,
      0.148160429896043,
      0.0869745206970516,
      0.149576331962423,
      0.116669783737608,
      0.0911900788126967,
      0.112192261670347,
      0.11381489076636,
      0.243260014809982,
      0.398105757753156,
      0.127724818319938,
      0.163402288901951,
      0.213704577604753,
      0.109959042884568,
      0.186492628334463,
      0.194954636621521,
      0.125031266267103,
      0.290990289504702,
      0.548848801457729,
      0.110426370088881,
      0.12510271244444,
      0.100927072181861,
      0.117056341109809,
      0.222749317484752,
      0.118003787138995,
      0.116114558109147,
      0.204350517150763,
      0.150237672399655,
      0.143099625301613,
      0.13759155886289,
      0.123009197278932,
      0.13160646856492,
      0.125366452181202,
      0.131606528179768,
      0.128485740218684,
      0.114413486482154,
      0.143300820345581,
      0.248244950685906,
      0.179224873129649,
      0.134499510062478,
      0.105299098210638,
      0.102432777678498,
      0.119338624426475,
      0.118946532007198,
      0.110072937600323,
      0.127924317768767,
      0.121654852176209,
      0.1170414710212,
      0.126310446447311,
      0.0797314397044178,
      0.112728607644447,
      0.094967896148697,
      0.0941444209533213,
      0.118991842924432,
      0.0974603870607336,
      0.164734769350467,
      0.183003296987979,
      0.162162196187445,
      0.136740334325867,
      0.11997808018593,
      0.097570197807918,
      0.0956168057700689,
      0.102091310455845,
      0.111712219833041,
      0.120911291710256,
      0.124832565605734,
      0.105258975619076,
      0.126170722101162,
      0.113291427285261,
      0.110516276488779,
      0.121456899742877,
      0.109979958517795,
      0.131550701327088,
      0.150673962488676,
      0.139941570933253,
      0.160377338706428,
      0.145629517647632,
      0.113574967730042,
      0.0929837293376424,
      0.0811580778491922,
      0.126127742719852,
      0.16074270032896,
      0.15689715614851,
      0.123841824306629,
      0.169910456996332,
      0.143042653352352,
      0.152215759625717,
      0.153220253460617,
      0.126377921310247,
      0.132449162261419,
      0.131766857046129,
      0.099009614830194,
      0.201566630696759,
      0.173289267700406,
      0.134562348815577,
      0.127139725670432,
      0.134365365280064,
      0.164769208161044,
      0.116253521234427,
      0.197210841155239,
      0.159889118747301,
      0.118879753031617,
      0.100139615210146,
      0.122934079639159,
      0.137685804992957,
      0.11347630302043,
      0.210288172229577,
      0.292658674398165,
      0.19725333316285,
      0.248997805225515,
      0.184689733890286,
      0.243276771348228,
      0.191592337475836,
      0.174520989865654,
      0.197665366605877,
      0.239655319054842,
      0.144652224315079,
      0.182636156415148,
      0.155338708316803,
      0.191493485231211,
      0.162855793773186,
      0.201053858082927,
      0.204887407190466,
      0.166398107783745,
      0.15114037862769,
      0.214161544975555,
      0.227309509069893,
      0.179282036803692,
      0.127665697393005,
      0.128759302662108,
      0.131679772097664,
      0.10693058732743,
      0.143575122497138,
      0.124574366057578,
      0.136402651358586,
      0.166579209109595,
      0.13254042349628,
      0.142349290829775,
      0.0967739202319867,
      0.0990140246947847,
      0.132968641162288,
      0.116094586781626,
      0.106222449562602,
      0.26366316785192,
      0.198719332823633,
      0.20245829685234,
      0.222957536750372,
      0.159466096083555,
      0.149240260867784,
      0.125942207286103,
      0.118750395538921,
      0.127347859262065,
      0.136007272077509,
      0.114359585966317,
      0.13115581346581,
      0.115527561268831,
      0.120916999994288,
      0.17472994690876,
      0.115424233954709,
      0.121390454856272,
      0.186589946189718,
      0.18924496048057,
      0.207892952344713,
      0.226487005044416,
      0.192543234573932,
      0.183656144235822,
      0.245728021127524,
      0.190796425364513,
      0.179779638410746,
      0.175973251461178,
      0.222544917523773,
      0.157565157890394,
      0.134773676888679,
      0.148458265121554,
      0.167971381623069,
      0.150893737628753,
      0.189835535358611,
      0.153032069028869,
      0.12873914810039,
      0.152534415272306,
      0.144123980294024,
      0.142267336068178,
      0.170005064267837,
      0.165724874726718,
      0.177887208902694,
      0.162376015381425,
      0.137015431233073,
      0.159098992369768,
      0.164362876938081,
      0.183514403201026,
      0.186669746288052,
      0.169841983352431,
      0.188956800585377,
      0.146447391671915,
      0.159161575705837,
      0.143035536659999,
      0.176894475606406,
      0.157905160458257,
      0.182229894935476,
      0.163774335479116,
      0.118982285307037,
      0.16722351621185,
      0.143153382499874,
      0.131998667610187,
      0.175711034844788,
      0.138956272548925,
      0.148909838059442,
      0.170605233333571,
      0.188395721201676,
      0.166900806957127,
      0.185067940393342,
      0.147243624740816,
      0.18830733422518,
      0.164262675460578,
      0.168175063315055,
      0.2456424726694,
      0.284904842379659,
      0.158799519174598,
      0.131115011415636,
      0.13896074169184,
      0.137371067194767,
      0.161752045897057,
      0.156094515620533,
      0.179320551367858,
      0.157844077660861,
      0.130678463854211,
      0.104434813636824,
      0.0978374819787332,
      0.0896185651546256,
      0.0869583394675609,
      0.0826831758213874,
      0.102212459149484,
      0.108418221940791,
      0.0903864392576276,
      0.170291330601347,
      0.154087804373308,
      0.171141507985333,
      0.153124667928026,
      0.224729711600826,
      0.167753084690152,
      0.157592577473279,
      0.172720761751115,
      0.146001733757708,
      0.212005166811651,
      0.151087346404218,
      0.167264594094464,
      0.151766906352451,
      0.194265393870348,
      0.11992297680559,
      0.103481550885524,
      0.123038290073617,
      0.171814348750598,
      0.195842437106399,
      0.172935956290147,
      0.184808381542136,
      0.19551260902403,
      0.179311101736391,
      0.164154285532652,
      0.179744874860278,
      0.231874867477948,
      0.204326751549018,
      0.197626903422894,
      0.129318255846233,
      0.168651376034919,
      0.201872692090446,
      0.160919484163525,
      0.176182842714254,
      0.180558246382819,
      0.197030053953462,
      0.148700016554522,
      0.124387825901122,
      0.208321991785996,
      0.230914700551191,
      0.183127543812694,
      0.192950711585395,
      0.181204373751061,
      0.186817574404537,
      0.174270485895868,
      0.233368256172975,
      0.199465554068133,
      0.158906820354597,
      0.141305902281163,
      0.185557104200937,
      0.148829451647902,
      0.127287782029998,
      0.122252876121992,
      0.212269658529731,
      0.159942561014882,
      0.221429275649021,
      0.190779379631983,
      0.169542291079615,
      0.161816337283859,
      0.181361411972347,
      0.184731297718364,
      0.187736884561433,
      0.188908375901161,
      0.191927985385012,
      0.198199408290754,
      0.284656072794679,
      0.264752632838013,
      0.240225691837109,
      0.256420841932162,
      0.234514790076985,
      0.240289831346059,
      0.213555142664113,
      0.197134907814606,
      0.194615819854009,
      0.145859169583846,
      0.187164224180732,
      0.167756914702786,
      0.238076697816638,
      0.215299991770997,
      0.203263295213777,
      0.167742196411322,
      0.168933386625946,
      0.186975339177341,
      0.220812327657133,
      0.0704828051791425,
      0.15150204160083,
      0.153002275304191,
      0.157340014504397,
      0.181561238475454,
      0.21205898072179,
      0.193586230034277,
      0.190269896936527,
      0.172780499086335,
      0.140378943024446,
      0.155742439747523,
      0.314825263565656,
      0.194168322377167,
      0.13396136636454,
      0.170589246319344,
      0.143700860631534,
      0.14372383969056,
      0.145176628325898,
      0.137666683793875,
      0.155680670012143,
      0.141444866142459,
      0.129945646124371,
      0.151159703466895,
      0.147863389849958,
      0.1451009807194,
      0.14462323025456,
      0.153076093875424,
      0.160041352281861,
      0.171556607321828,
      0.148527017620747,
      0.1688219701962,
      0.165897610287862,
      0.179436222991048,
      0.152139206621796,
      0.201907426755006,
      0.149766741858853,
      0.215425468995273,
      0.187926648197119,
      0.204689003518509,
      0.175927740107823,
      0.169783249937125,
      0.198115732845127,
      0.205165541331487,
      0.119555384749647,
      0.1514157927749,
      0.161113792428263,
      0.189259688399075,
      0.15183946124788,
      0.176819806818182,
      0.186746578373897,
      0.179202842347402,
      0.259847740788716,
      0.210094860230475,
      0.245411354066261,
      0.223620924288421,
      0.287355464376824,
      0.181293683080548,
      0.167194975070755,
      0.182512542644963,
      0.234940099622691,
      0.203444973118241,
      0.22587694672692,
      0.141244264068481,
      0.142500806273546,
      0.136262557740366,
      0.143346472450968,
      0.170749555370818,
      0.177870542760703,
      0.157912890873276,
      0.164014650761815,
      0.159309228963442,
      0.194407000217132,
      0.212237672555082,
      0.175524339073597,
      0.220322167058916,
      0.221269567474296,
      0.192544955768828,
      0.160745585191028,
      0.221842918837272,
      0.17069928980488,
      0.137137385479682,
      0.254335603845083,
      0.193567309576991,
      0.220013334261822,
      0.191962316214329,
      0.188987657316025,
      0.219105642594129,
      0.206029182215321,
      0.173676893785565,
      0.181230430719586,
      0.199410349911297,
      0.207787948339812,
      0.176441376815329,
      0.213036764659944,
      0.187773097088241,
      0.198973369301309,
      0.194040003459505,
      0.174625514488275,
      0.221272622858492,
      0.471825014691337,
      0,
      0
    ],
    "phase_coherence_curve": [
      0.963969647884369,
      0.967940092086792,
      0.714570879936218,
      0.872183740139008,
      0.982777774333954,
      0.738041460514069,
      0.955910980701447,
      0.949802756309509,
      0.670866072177887,
      0.969318330287933,
      0.970736384391785,
      0.609816431999207,
      0.926727592945099,
      0.779605090618134,
      0.744672954082489,
      0.962378144264221,
      0.738664746284485,
      0.876508176326752,
      0.976636350154877,
      0.725277423858643,
      0.897694945335388,
      0.804443776607513,
      0.950780212879181,
      0.813377559185028,
      0.949763238430023,
      0.685292363166809,
      0.835941851139069,
      0.932912886142731,
      0.688673973083496,
      0.971756756305695,
      0.653206944465637,
      0.773751437664032,
      0.93494838476181,
      0.602423429489136,
      0.451439470052719,
      0.971756339073181,
      0.760347962379456,
      0.910161256790161,
      0.963494062423706,
      0.674846291542053,
      0.872432351112366,
      0.919217586517334,
      0.708189606666565,
      0.908492267131805,
      0.824797868728638,
      0.90488463640213,
      0.908799648284912,
      0.930273115634918,
      0.948421120643616,
      0.929454267024994,
      0.905759811401367,
      0.957632303237915,
      0.759298384189606,
      0.802196621894836,
      0.753169000148773,
      0.85921984910965,
      0.874276995658875,
      0.879937648773193,
      0.848682701587677,
      0.817196369171143,
      0.868215084075928,
      0.842356562614441,
      0.804583430290222,
      0.77891480922699,
      0.899030089378357,
      0.855031967163086,
      0.826263725757599,
      0.806445896625519,
      0.812708139419556,
      0.844024837017059,
      0.922887742519379,
      0.869541168212891,
      0.903340756893158,
      0.898917376995087,
      0.892480194568634,
      0.898240029811859,
      0.904919266700745,
      0.869211673736572,
      0.804521441459656,
      0.839160859584808,
      0.811457753181458,
      0.798610329627991,
      0.876125156879425,
      0.866217017173767,
      0.878947496414185,
      0.857230424880981,
      0.852512896060944,
      0.865217328071594,
      0.864020168781281,
      0.831237018108368,
      0.930409371852875,
      0.936226487159729,
      0.8809694647789,
      0.900222361087799,
      0.899775385856628,
      0.909448385238647,
      0.919677972793579,
      0.837735235691071,
      0.844058632850647,
      0.792619824409485,
      0.785620450973511,
      0.703724503517151,
      0.652724087238312,
      0.785300314426422,
      0.677821099758148,
      0.680970430374146,
      0.706090033054352,
      0.672918200492859,
      0.663122236728668,
      0.520740330219269,
      0.596137940883636,
      0.820298910140991,
      0.670737624168396,
      0.682586967945099,
      0.83105880022049,
      0.562472105026245,
      0.669420659542084,
      0.822313547134399,
      0.715882182121277,
      0.901051819324493,
      0.849380552768707,
      0.851953387260437,
      0.695993900299072,
      0.585261404514313,
      0.656051516532898,
      0.720393538475037,
      0.608332633972168,
      0.589224755764008,
      0.742860496044159,
      0.616109430789948,
      0.513008892536163,
      0.597322046756744,
      0.676825284957886,
      0.774087011814117,
      0.748387098312378,
      0.73591536283493,
      0.754762768745422,
      0.619352400302887,
      0.72445023059845,
      0.783893287181854,
      0.822470128536224,
      0.775599837303162,
      0.812327146530151,
      0.861825942993164,
      0.713721394538879,
      0.776075601577759,
      0.712327301502228,
      0.695635914802551,
      0.823668777942657,
      0.7133948802948,
      0.801099002361298,
      0.782276511192322,
      0.673576891422272,
      0.769797742366791,
      0.669114232063293,
      0.670235216617584,
      0.778800487518311,
      0.722071468830109,
      0.656216561794281,
      0.744737327098846,
      0.713014662265778,
      0.71407151222229,
      0.767084002494812,
      0.703217387199402,
      0.826129853725433,
      0.842872500419617,
      0.765069365501404,
      0.788988888263702,
      0.656711995601654,
      0.731331467628479,
      0.785935521125793,
      0.66963666677475,
      0.687345206737518,
      0.800798416137695,
      0.685794651508331,
      0.788832306861877,
      0.701946675777435,
      0.713123679161072,
      0.812052965164185,
      0.716890931129456,
      0.793850839138031,
      0.824335634708405,
      0.754756093025208,
      0.717627882957458,
      0.838233888149261,
      0.835723221302032,
      0.866221308708191,
      0.850207507610321,
      0.779618620872498,
      0.718137443065643,
      0.737072050571442,
      0.69677323102951,
      0.736733615398407,
      0.513207674026489,
      0.540225028991699,
      0.727628171443939,
      0.571117639541626,
      0.466279238462448,
      0.728033423423767,
      0.606003642082214,
      0.459219664335251,
      0.685298442840576,
      0.551530361175537,
      0.746654450893402,
      0.610692381858826,
      0.676066756248474,
      0.815894305706024,
      0.82761937379837,
      0.767616093158722,
      0.828109681606293,
      0.802691400051117,
      0.672726273536682,
      0.715826988220215,
      0.749650418758392,
      0.583023905754089,
      0.711543917655945,
      0.58931177854538,
      0.668730556964874,
      0.585372745990753,
      0.54844081401825,
      0.69802188873291,
      0.663523375988007,
      0.520408153533936,
      0.765056788921356,
      0.587773025035858,
      0.661479234695435,
      0.636432111263275,
      0.584985971450806,
      0.71161425113678,
      0.614184439182281,
      0.82865309715271,
      0.704620003700256,
      0.62306421995163,
      0.779277861118317,
      0.834994792938232,
      0.815693438053131,
      0.751120448112488,
      0.732541441917419,
      0.722633361816406,
      0.743063449859619,
      0.811259269714355,
      0.717880964279175,
      0.839110970497131,
      0.868674755096436,
      0.882412672042847,
      0.904105484485626,
      0.914743185043335,
      0.840984284877777,
      0.857298851013184,
      0.795131862163544,
      0.861066341400146,
      0.865305602550507,
      0.819198608398438,
      0.899087369441986,
      0.756818413734436,
      0.803053557872772,
      0.743834674358368,
      0.815121114253998,
      0.783563435077667,
      0.718357980251312,
      0.789954364299774,
      0.678254783153534,
      0.715513467788696,
      0.580340504646301,
      0.707106053829193,
      0.844472467899323,
      0.840109050273895,
      0.745474874973297,
      0.781342208385468,
      0.787573218345642,
      0.754917085170746,
      0.799865365028381,
      0.793767213821411,
      0.819381058216095,
      0.822368025779724,
      0.773398697376251,
      0.83946418762207,
      0.827770054340363,
      0.782738626003265,
      0.842158615589142,
      0.757295906543732,
      0.749103844165802,
      0.799259960651398,
      0.64427375793457,
      0.667634904384613,
      0.67595773935318,
      0.612407386302948,
      0.415189057588577,
      0.648860991001129,
      0.619104623794556,
      0.727430105209351,
      0.77720981836319,
      0.662194728851318,
      0.763215661048889,
      0.643397033214569,
      0.646190404891968,
      0.780220150947571,
      0.815288126468658,
      0.777707099914551,
      0.804235875606537,
      0.877835929393768,
      0.890600740909576,
      0.727535426616669,
      0.728361964225769,
      0.724775791168213,
      0.670137047767639,
      0.592369794845581,
      0.680619955062866,
      0.695556342601776,
      0.6695916056633,
      0.680448174476624,
      0.723265409469604,
      0.802792727947235,
      0.787778198719025,
      0.713720500469208,
      0.748413622379303,
      0.667882680892944,
      0.879612863063812,
      0.903426706790924,
      0.877013623714447,
      0.831368148326874,
      0.881388485431671,
      0.71696275472641,
      0.882070958614349,
      0.832306027412415,
      0.817159533500671,
      0.800676167011261,
      0.852385997772217,
      0.864257991313934,
      0.879984676837921,
      0.88699209690094,
      0.924928069114685,
      0.902489006519318,
      0.990679442882538,
      0.867116570472717,
      0.860110700130463,
      0.849198520183563,
      0.865032732486725,
      0.886120557785034,
      0.82967084646225,
      0.855997681617737,
      0.909300267696381,
      0.910676002502441,
      0.911067843437195,
      0.695264279842377,
      0.75819331407547,
      0.751603543758392,
      0.784350514411926,
      0.800421595573425,
      0.826283156871796,
      0.679076969623566,
      0.625049829483032,
      0.754983365535736,
      0.692411422729492,
      0.770665407180786,
      0.800256848335266,
      0.719011306762695,
      0.742568910121918,
      0.825249552726746,
      0.75718891620636,
      0.779130756855011,
      0.694628179073334,
      0.786971867084503,
      0.742111384868622,
      0.81587690114975,
      0.805867850780487,
      0.752478003501892,
      0.774500668048859,
      0.727630317211151,
      0.685006976127625,
      0.72284197807312,
      0.593814790248871,
      0.718409419059753,
      0.713677287101746,
      0.655608057975769,
      0.792307615280151,
      0.645776510238647,
      0.753689229488373,
      0.778312206268311,
      0.657726049423218,
      0.807509660720825,
      0.747422575950623,
      0.863303065299988,
      0.835570752620697,
      0.654052257537842,
      0.819906115531921,
      0.700107872486115,
      0.743336260318756,
      0.799670517444611,
      0.789749979972839,
      0.685542225837708,
      0.714546859264374,
      0.619477152824402,
      0.522685170173645,
      0.699082612991333,
      0.712877988815308,
      0.660758316516876,
      0.74798971414566,
      0.839710235595703,
      0.741380572319031,
      0.702920496463776,
      0.593045175075531,
      0.61170494556427,
      0.766328513622284,
      0.728976905345917,
      0.735129714012146,
      0.654149234294891,
      0.725135684013367,
      0.740020990371704,
      0.567679762840271,
      0.796945691108704,
      0.725600361824036,
      0.855494201183319,
      0.657494962215424,
      0.578854084014893,
      0.694160938262939,
      0.545077741146088,
      0.656208395957947,
      0.449472188949585,
      0.673974633216858,
      0.598360121250153,
      0.562866449356079,
      0.729558646678925,
      0.641048729419708,
      0.647426545619965,
      0.655581176280975,
      0.633678317070007,
      0.697470009326935,
      0.609611928462982,
      0.671091914176941,
      0.567282795906067,
      0.277960777282715,
      0.0343488864600658,
      1,
      1
    ]
  },
  "arrangement": {
    "layer_count_over_time": [
      0.740952380952381,
      0.47047619047619,
      0.590476190476191,
      0.466666666666667,
      0.220952380952381,
      0.352380952380952,
      0.396190476190476,
      0.306666666666667,
      0.369523809523809,
      0.325714285714286,
      0.180952380952381,
      0.580952380952381,
      0.68,
      0.24,
      0.499047619047619,
      0.424761904761905,
      0.20952380952381,
      0.264761904761905,
      0.373333333333333,
      0.241904761904762,
      0.624761904761905,
      0.441904761904762,
      0.594285714285714,
      0.540952380952381,
      0.466666666666667,
      0.582857142857143,
      0.56952380952381,
      0.238095238095238,
      0.396190476190476,
      0.472380952380952,
      0.426666666666667,
      0.48,
      0.411428571428571,
      0.222857142857143,
      0.596190476190476,
      0.497142857142857,
      0.342857142857143,
      0.700952380952381,
      0.379047619047619,
      0.260952380952381,
      0.430476190476191,
      0.51047619047619,
      0.392380952380952,
      0.767619047619048,
      0.64,
      0.262857142857143,
      0.234285714285714,
      0.12952380952381,
      0.121904761904762,
      0.137142857142857,
      0.171428571428571,
      0.171428571428571,
      0.198095238095238,
      0.266666666666667,
      0.525714285714286,
      0.321904761904762,
      0.628571428571429,
      0.598095238095238,
      0.571428571428572,
      0.417142857142857,
      0.428571428571429,
      0.291428571428571,
      0.371428571428571,
      0.561904761904762,
      0.114285714285714,
      0.327619047619048,
      0.527619047619048,
      0.308571428571429,
      0.226666666666667,
      0.377142857142857,
      0.262857142857143,
      0.382857142857143,
      0.337142857142857,
      0.52952380952381,
      0.558095238095238,
      0.674285714285714,
      0.274285714285714,
      0.451428571428571,
      0.474285714285714,
      0.405714285714286,
      0.598095238095238,
      0.302857142857143,
      0.316190476190476,
      0.40952380952381,
      0.333333333333333,
      0.262857142857143,
      0.27047619047619,
      0.198095238095238,
      0.28952380952381,
      0.232380952380952,
      0.537142857142857,
      0.390476190476191,
      0.344761904761905,
      0.571428571428572,
      0.579047619047619,
      0.464761904761905,
      0.441904761904762,
      0.552380952380952,
      0.575238095238095,
      0.531428571428571,
      0.603809523809524,
      0.403809523809524,
      0.428571428571429,
      0.588571428571429,
      0.295238095238095,
      0.516190476190476,
      0.535238095238095,
      0.28952380952381,
      0.459047619047619,
      0.19047619047619,
      0.335238095238095,
      0.523809523809524,
      0.24,
      0.407619047619048,
      0.575238095238095,
      0.380952380952381,
      0.723809523809524,
      0.544761904761905,
      0.531428571428571,
      0.630476190476191,
      0.727619047619048,
      0.508571428571428,
      0.870476190476191,
      0.462857142857143,
      0.447619047619048,
      0.426666666666667,
      0.733333333333333,
      0.367619047619048,
      0.6,
      0.582857142857143,
      0.401904761904762,
      0.678095238095238,
      0.420952380952381,
      0.333333333333333,
      0.596190476190476,
      0.518095238095238,
      0.474285714285714,
      0.542857142857143,
      0.506666666666667,
      0.674285714285714,
      0.563809523809524,
      0.628571428571429,
      0.476190476190476,
      0.56,
      0.510476190476191,
      0.278095238095238,
      0.266666666666667,
      0.346666666666667,
      0.531428571428571,
      0.744761904761905,
      0.382857142857143,
      0.299047619047619,
      0.75047619047619,
      0.375238095238095,
      0.401904761904762,
      0.577142857142857,
      0.373333333333333,
      0.302857142857143,
      0.255238095238095,
      0.144761904761905,
      0.438095238095238,
      0.245714285714286,
      0.302857142857143,
      0.620952380952381,
      0.350476190476191,
      0.702857142857143,
      0.64,
      0.512380952380952,
      0.354285714285714,
      0.481904761904762,
      0.339047619047619,
      0.407619047619048,
      0.678095238095238,
      0.152380952380952,
      0.31047619047619,
      0.510476190476191,
      0.255238095238095,
      0.521904761904762,
      0.460952380952381,
      0.112380952380952,
      0.283809523809524,
      0.255238095238095,
      0.64,
      0.552380952380952,
      0.556190476190476,
      0.660952380952381,
      0.687619047619048,
      0.64,
      0.380952380952381,
      0.459047619047619,
      0.552380952380952,
      0.483809523809524,
      0.443809523809524,
      0.257142857142857,
      0.512380952380952,
      0.634285714285714,
      0.495238095238095,
      0.758095238095238,
      0.447619047619048,
      0.392380952380952,
      0.478095238095238,
      0.232380952380952,
      0.198095238095238,
      0.468571428571428,
      0.462857142857143,
      0.293333333333333,
      0.384761904761905,
      0.32952380952381,
      0.699047619047619,
      0.523809523809524,
      0.506666666666667,
      0.660952380952381,
      0.718095238095238,
      0.657142857142857,
      0.714285714285714,
      0.645714285714286,
      0.285714285714286,
      0.697142857142857,
      0.478095238095238,
      0.563809523809524,
      0.706666666666667,
      0.419047619047619,
      0.468571428571429,
      0.384761904761905,
      0.299047619047619,
      0.276190476190476,
      0.451428571428571,
      0.401904761904762,
      0.348571428571429,
      0.502857142857143,
      0.489523809523809,
      0.527619047619048,
      0.539047619047619,
      0.323809523809524,
      0.476190476190476,
      0.449523809523809,
      0.386666666666667,
      0.380952380952381,
      0.476190476190476,
      0.752380952380952,
      0.899047619047619,
      0.883809523809524,
      0.805714285714286,
      0.641904761904762,
      0.556190476190476,
      0.558095238095238,
      0.460952380952381,
      0.512380952380952,
      0.457142857142857,
      0.506666666666667,
      0.491428571428571,
      0.537142857142857,
      0.611428571428572,
      0.514285714285714,
      0.443809523809524,
      0.641904761904762,
      0.540952380952381,
      0.584761904761905,
      0.685714285714286,
      0.337142857142857,
      0.449523809523809,
      0.335238095238095,
      0.504761904761905,
      0.580952380952381,
      0.542857142857143,
      0.540952380952381,
      0.577142857142857,
      0.56,
      0.300952380952381,
      0.533333333333333,
      0.299047619047619,
      0.48952380952381,
      0.714285714285714,
      0.331428571428571,
      0.361904761904762,
      0.382857142857143,
      0.375238095238095,
      0.584761904761905,
      0.481904761904762,
      0.533333333333333,
      0.544761904761905,
      0.445714285714286,
      0.552380952380952,
      0.611428571428572,
      0.790476190476191,
      0.314285714285714,
      0.718095238095238,
      0.712380952380952,
      0.441904761904762,
      0.508571428571429,
      0.4,
      0.470476190476191,
      0.514285714285714,
      0.228571428571429,
      0.331428571428571,
      0.495238095238095,
      0.420952380952381,
      0.436190476190476,
      0.733333333333333,
      0.561904761904762,
      0.628571428571429,
      0.68,
      0.636190476190476,
      0.727619047619048,
      0.68,
      0.527619047619048,
      0.847619047619048,
      0.56,
      0.333333333333333,
      0.588571428571429,
      0.685714285714286,
      0.514285714285714,
      0.64952380952381,
      0.434285714285714,
      0.335238095238095,
      0.396190476190476,
      0.52952380952381,
      0.295238095238095,
      0.354285714285714,
      0.278095238095238,
      0.356190476190476,
      0.683809523809524,
      0.518095238095238,
      0.375238095238095,
      0.371428571428571,
      0.379047619047619,
      0.481904761904762,
      0.535238095238095,
      0.500952380952381,
      0.39047619047619,
      0.373333333333333,
      0.432380952380952,
      0.371428571428571,
      0.36,
      0.398095238095238,
      0.331428571428571,
      0.626666666666667,
      0.365714285714286,
      0.554285714285714,
      0.702857142857143,
      0.266666666666667,
      0.325714285714286,
      0.508571428571429,
      0.314285714285714,
      0.773333333333333,
      0.438095238095238,
      0.457142857142857,
      0.615238095238095,
      0.512380952380952,
      0.697142857142857,
      0.619047619047619,
      0.411428571428572,
      0.525714285714286,
      0.382857142857143,
      0.337142857142857,
      0.668571428571429,
      0.750476190476191,
      0.552380952380952,
      0.714285714285714,
      0.424761904761905,
      0.459047619047619,
      0.582857142857143,
      0.40952380952381,
      0.521904761904762,
      0.626666666666667,
      0.601904761904762,
      0.586666666666667,
      0.708571428571429,
      0.466666666666667,
      0.556190476190476,
      0.415238095238095,
      0.603809523809524,
      0.52952380952381,
      0.502857142857143,
      0.613333333333334,
      0.419047619047619,
      0.384761904761905,
      0.377142857142857,
      0.565714285714286,
      0.556190476190476,
      0.453333333333333,
      0.615238095238095,
      0.413333333333333,
      0.411428571428571,
      0.622857142857143,
      0.580952380952381,
      0.346666666666667,
      0.554285714285714,
      0.453333333333333,
      0.563809523809524,
      0.447619047619048,
      0.620952380952381,
      0.681904761904762,
      0.643809523809524,
      0.392380952380952,
      0.630476190476191,
      0.567619047619048,
      0.420952380952381,
      0.540952380952381,
      0.565714285714286,
      0.306666666666667,
      0.68,
      0.596190476190476,
      0.392380952380952,
      0.819047619047619,
      0.636190476190476,
      0.573333333333333,
      0.651428571428571,
      0.491428571428571,
      0.281904761904762,
      0.44,
      0.52952380952381,
      0.518095238095238,
      0.502857142857143,
      0.525714285714286,
      0.493333333333333,
      0.497142857142857,
      0.483809523809524,
      0.651428571428571,
      0.493333333333333,
      0.588571428571429,
      0.624761904761905,
      0.561904761904762,
      0.28,
      0.495238095238095,
      0.481904761904762,
      0.584761904761905,
      0.561904761904762,
      0.310476190476191,
      0.510476190476191,
      0.516190476190476,
      0.491428571428571,
      0.615238095238095,
      0.575238095238095,
      0.544761904761905,
      0.824761904761905,
      0.259047619047619,
      0.44,
      0.32952380952381,
      0.466666666666667,
      0.356190476190476,
      0.56952380952381,
      1,
      1,
      1,
      1,
      1
    ],
    "layer_count_mean": 0.483613893032176,
    "layer_count_peak": 1,
    "minimalism_maximalism_score": 0.579368775958652,
    "drums_presence": 0.226570513883784,
    "bass_presence": 1,
    "harmonic_presence": 0.773429486116216,
    "melodic_presence": 0.464083552271064,
    "fx_presence": 0.0124207170868873,
    "analyzed_at": "2026-03-22T16:20:55.639541+00:00",
    "intro_end_seconds": 0.3,
    "outro_start_seconds": 211.16,
    "fade_out": true,
    "vocal_energy_ratio": 0.3066,
    "is_instrumental_estimate": false,
    "silence_map": [
      {
        "end": 0.3,
        "start": 0,
        "duration": 0.3
      },
      {
        "end": 213.58,
        "start": 213.16,
        "duration": 0.42
      },
      {
        "end": 217.92,
        "start": 213.65,
        "duration": 4.27
      }
    ],
    "silence_count": 3,
    "total_silence_seconds": 4.99,
    "self_similarity_matrix": [
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.462329271902388,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.319300464909023,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.353913109869145,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.408819352454413,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.564165727808354,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.435590642970162,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.462329271902388,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.365648548311248,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.498557526512121,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.498557526512121,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.446424068750618,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.335430917227662,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.353913109869145,
      0,
      0,
      0,
      0.564165727808354,
      0,
      0,
      0,
      0,
      0,
      0,
      0.390361817789875,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.384257067029429,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.390361817789875,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.40197319306279,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.384182774250465,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.486383347064351,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.516770878792545,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.328966053718063,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.441733081083509,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.423296820293347,
      0,
      0,
      0,
      0,
      0.511364034235178,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.44273400562908,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.638623320228085,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.751999951473878,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.441213466104003,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.397210232868201,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.437628736000593,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.365450942827092,
      0,
      0,
      0,
      0.444411244065196,
      0,
      0,
      0,
      0,
      0,
      0.40616116244031,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.365450942827092,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.354757535158722,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.42527509107655,
      0.508888679489402,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.642206352949497,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.444411244065196,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.502712052665624,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.595831355544643,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.354757535158722,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.441213466104003,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3052564080842,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.40616116244031,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.408819352454413,
      0,
      0,
      0,
      0.435590642970162,
      0,
      0,
      0,
      0,
      0,
      0.384257067029429,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.430805261824597,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.638623320228085,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.651889352710473,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.486383347064351,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.409976109758952,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.360953909965901,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.484825326693479,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.595831355544643,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.751999951473878,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.651889352710473,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.397210232868201,
      0,
      0,
      0,
      0,
      0.42527509107655,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.515431612647329,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.508888679489402,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.515431612647329,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.631676386310154,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.514712543454891,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.632783201732476,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.558599813085181,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.516770878792545,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.328966053718063,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.563898374909742,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.632783201732476,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.465336127614718,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.384182774250465,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.631676386310154,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.514845756800203,
      0,
      0,
      0,
      0,
      0,
      0,
      0.431712728086856,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.319300464909023,
      0,
      0,
      0,
      0,
      0,
      0,
      0.365648548311248,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.360953909965901,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.423296820293347,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.475385618068414,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.437628736000593,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3052564080842,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.446424068750618,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.511364034235178,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.570022900762659,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.642206352949497,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.518157474499912,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.534174305161135,
      0,
      0,
      0,
      0,
      0.534478867153416,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.499753915665255,
      0,
      0,
      0,
      0,
      0.489116779104759,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.441733081083509,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.518157474499912,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.519777738679235,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.454027245479252,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.40197319306279,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.430805261824597,
      0,
      0,
      0,
      0,
      0.409976109758952,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.419975404379944,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.335430917227662,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.563898374909742,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.514712543454891,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.514845756800203,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.484825326693479,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.386338802497013,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.534174305161135,
      0,
      0,
      0.519777738679235,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.359264716535946,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.502712052665624,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.431712728086856,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.454027245479252,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.534478867153416,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.499753915665255,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.386338802497013,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.44273400562908,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.475385618068414,
      0,
      0,
      0,
      0,
      0.570022900762659,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.419975404379944,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.359264716535946,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.558599813085181,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.465336127614718,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.489116779104759,
      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": [
      0.115347950747159,
      0.0955026095751162,
      0.144127528775242,
      0.132614318305375,
      0.0878924457319704,
      0.0715483120820658,
      0.167876319710944,
      0.0750688287402199,
      0.198293875642576,
      0.154708457662954,
      0.02230964317852,
      0.0287153678074379,
      0.066210420483149,
      0.0667527018524871,
      0.229879381030951,
      0.161119845903424,
      0.0336692177240838,
      0.109835747672253,
      0.0963561554252745,
      0.125319219241351,
      0.234693776566068,
      0.113769174988575,
      0.112907695316796,
      0.0786341169205705,
      0.0555130517832069,
      0.124968337761891,
      0.165544166365728,
      0.0780011275260192,
      0.20551974026367,
      0.170611699572056,
      0.0620823164893667,
      0.176136708041686,
      0.14810823194219,
      0.0263812799038476,
      0.0245216013940342,
      0.0612944705802503,
      0.0116192967420476,
      0.225924254474293,
      0.163049464355613,
      0.0586453749086204,
      0.116736389398372,
      0.0735040363434789,
      0.0169717831590787,
      0.0900939447135053,
      0.0278151719467048,
      0.0479708854803766,
      0.0328944402349462,
      0.0204558219481227,
      0.0485420470153696,
      0.0285449810266725,
      0.0418034604230534,
      0.0453490406861865,
      0.0509038682460742,
      0.0445716402351189,
      0.0874517787183773,
      0.0475841256971138,
      0.032941416447513,
      0.0977126842369101,
      0.10800716952821,
      0.0580770870656381,
      0.0932866849997259,
      0.0738029992344381,
      0.0542190575719871,
      0.102866444868644,
      0.0362480772985744,
      0.0616705122761779,
      0.104973233962122,
      0.0510932877661979,
      0.0733721619425145,
      0.0813489003717504,
      0.0202287775275203,
      0.0695517929188142,
      0.0436409324515428,
      0.0577855524414917,
      0.0412257182731662,
      0.0852234043745212,
      0.0715552793068399,
      0.0699698487341114,
      0.0670992146282707,
      0.0447941427270517,
      0.111908410917912,
      0.0591156296360013,
      0.0400936690466041,
      0.07140510271593,
      0.0601575926216031,
      0.0488381225417506,
      0.0846830177770016,
      0.0593391826408184,
      0.0683357872096743,
      0.0407572455093412,
      0.0696581162509865,
      0.0297702499172992,
      0.101187295716368,
      0.0511053984413382,
      0.0379243435178066,
      0.0978236529142638,
      0.0611318365540518,
      0.049574055168244,
      0.0977163780221864,
      0.0778528488093182,
      0.0908804428117257,
      0.0327596213984604,
      0.0873699450786761,
      0.0526019541934628,
      0.0433120949266172,
      0.0881623561091743,
      0.0670799799077577,
      0.0408207010377711,
      0.0586001952733546,
      0.0326407404640033,
      0.04838907658716,
      0.0401262993180917,
      0.0539327281734677,
      0.0497832212719393,
      0.0518064778957915,
      0.13011746171341,
      0.0594764117598938,
      0.0407939274245565,
      0.0957254874004964,
      0.0684833761549555,
      0.0562025746255368,
      0.0801271023627008,
      0.0811829671448218,
      0.0649026349399736,
      0.03068635004795,
      0.0985262832614859,
      0.0552154548766964,
      0.0563399597770477,
      0.0796408695981476,
      0.0459684978877239,
      0.03711069646906,
      0.0862703017367456,
      0.0715850463357759,
      0.0615121338603274,
      0.0551094292353335,
      0.0787873440720605,
      0.0510560854909354,
      0.051975379996259,
      0.0986830285777179,
      0.068105872190526,
      0.0563252827758059,
      0.058174204541806,
      0.0462226109963126,
      0.062298080389323,
      0.032529987831127,
      0.0705588874605085,
      0.0985208154289642,
      0.0360246858053967,
      0.0349866097145537,
      0.0741423929443119,
      0.0409395814772756,
      0.0563990235434194,
      0.0538662310699903,
      0.0662624837573779,
      0.0291700775000884,
      0.0901598874188796,
      0.04523964545019,
      0.0491483112212584,
      0.0755558792007505,
      0.0561874577365712,
      0.0883122724568852,
      0.0333270692552409,
      0.0322209970325564,
      0.0766460851321819,
      0.037074262602987,
      0.0596078089375427,
      0.0329071220716159,
      0.0814473345550802,
      0.0789525705668461,
      0.0554310362231621,
      0.0581767970429229,
      0.0611000446624703,
      0.057358046134987,
      0.0374473606400474,
      0.042894040388943,
      0.069531057378101,
      0.0560004404527472,
      0.0402426536071117,
      0.0762309729957552,
      0.0475742131419641,
      0.0356777688116001,
      0.0835051427191592,
      0.0682681656985793,
      0.0274361721053464,
      0.0796201485923475,
      0.0631281633791079,
      0.031109345510177,
      0.0809124278059002,
      0.0511912919437657,
      0.0643152216347508,
      0.0749840894635084,
      0.0604479825089244,
      0.0611230093523195,
      0.0179842276125101,
      0.0703282376958488,
      0.0480810941761257,
      0.0322197362932181,
      0.0821117505775196,
      0.0272647614570586,
      0.0519016924960972,
      0.0470858173745292,
      0.0807239962692411,
      0.0480400224507745,
      0.0299849038703211,
      0.0585845920360971,
      0.0577995135163085,
      0.0237129372294784,
      0.101449660401282,
      0.0562354869458872,
      0.0744532154932069,
      0.0265249614695613,
      0.0660091921410968,
      0.056298721833336,
      0.0700850431248019,
      0.0591278515546848,
      0.0593771320167936,
      0.0145490954095599,
      0.0840149926465785,
      0.0489181442394563,
      0.0419196994239737,
      0.0499698653184786,
      0.0412832607722584,
      0.0598154801258187,
      0.0500895956900198,
      0.0550363650125198,
      0.0449709110791356,
      0.0373339685916518,
      0.0489998468535607,
      0.0705258525271532,
      0.0284519295057536,
      0.0917188709464744,
      0.0566930955029186,
      0.036673347554304,
      0.0326361198338217,
      0.0530943061270716,
      0.0624458881154245,
      0.038517825367812,
      0.0773327516788399,
      0.0608145655567114,
      0.0436326337209551,
      0.095966087789835,
      0.0568110860746624,
      0.104887018772617,
      0.068070670201393,
      0.104102711393584,
      0.0632826830304492,
      0.0360135495590522,
      0.126841681727518,
      0.0443999577158022,
      0.0874846673562473,
      0.055830880040851,
      0.0787954071373348,
      0.102659961202779,
      0.0760118152375256,
      0.0487270711096152,
      0.10348026419164,
      0.0348436457233216,
      0.0935649159016574,
      0.0778579580653106,
      0.0326400559436405,
      0.0891630288741636,
      0.0922382753007504,
      0.0562635794537454,
      0.0788174324138579,
      0.0541170307136491,
      0.0928052923354611,
      0.0781174980534271,
      0.110741550428869,
      0.0364787995831328,
      0.12662523897092,
      0.0225365610743913,
      0.0391877370665971,
      0.095769536501387,
      0.075002816601923,
      0.0535777830151901,
      0.0844810999085115,
      0.0580552347636523,
      0.0803858291254704,
      0.0592543020020234,
      0.0638360326966993,
      0.075717670519404,
      0.116595854664912,
      0.106175202401421,
      0.080547834241574,
      0.0998913689840319,
      0.0237884289554742,
      0.0957206058845215,
      0.0565590243923622,
      0.0533482699333262,
      0.0716674741362726,
      0.046514190898708,
      0.0398397024935097,
      0.0668694772738827,
      0.0395118458809997,
      0.0378980941407504,
      0.0551126279448438,
      0.0518565616563888,
      0.0477206490692984,
      0.0776002997573037,
      0.0822271680129263,
      0.0497349190649815,
      0.0622968509860531,
      0.0313705132228639,
      0.0707028823211666,
      0.0534805590015193,
      0.0681679747267555,
      0.0897781597097296,
      0.0810189534264736,
      0.0197166066386171,
      0.109237349456845,
      0.0827207822760927,
      0.0463374800210371,
      0.075943636147746,
      0.066677249443448,
      0.0515560824166969,
      0.0581242887393936,
      0.0520298876072267,
      0.0274356939873136,
      0.0685979753610756,
      0.0387725312537347,
      0.0389797497216275,
      0.0867849371471141,
      0.0791563352693611,
      0.035452116445395,
      0.0602791133934339,
      0.0340169782971954,
      0.053124488453673,
      0.0575059584050245,
      0.0538653992541642,
      0.0492894342982507,
      0.0531316036132263,
      0.070225244322025,
      0.0289907109759626,
      0.0568524781227011,
      0.0504564224668545,
      0.0355764074093762,
      0.0765666848928306,
      0.0376461883064773,
      0.0711327101826597,
      0.0949346672110029,
      0.0359933110028978,
      0.177072845738271,
      0.193721417609299,
      0.051032127248815,
      0.0792099688512846,
      0.0598978668903951,
      0.0392472764591368,
      0.0805158208503413,
      0.0412924238863824,
      0.0626083708874247,
      0.0936841817628232,
      0.062082998666435,
      0.0921324814641927,
      0.0778988895448405,
      0.0436119387400316,
      0.0818041549824959,
      0.0372225647058992,
      0.0508704962770074,
      0.106414460727091,
      0.0599452926258292,
      0.0656800102605317,
      0.071037803271286,
      0.0514720687069181,
      0.0620678752611653,
      0.0518393024944736,
      0.0995477285107631,
      0.0623812785237272,
      0.0384182278187874,
      0.0826072523171771,
      0.0537501428888827,
      0.0593083944766571,
      0.0394031056499702,
      0.0686440152466842,
      0.0644381822719098,
      0.0785661357526114,
      0.0478879796064514,
      0.0771513861011162,
      0.0457366275409676,
      0.076348120833836,
      0.0371815761946262,
      0.0391635624488784,
      0.0820129578126887,
      0.030031994080257,
      0.0620925935925276,
      0.0731234944871716,
      0.0426495823403142,
      0.0384591134695636,
      0.0539623347033415,
      0.0635514609643296,
      0.0774232531248849,
      0.0545269630058191,
      0.0932841192833658,
      0.0708153452684783,
      0.0926774386481504,
      0.0799921144994767,
      0.0770240089405334,
      0.0620460113340277,
      0.0440148317007202,
      0.0705303165311604,
      0.0571076381078817,
      0.0425708149122331,
      0.0901636869102508,
      0.0537226840574148,
      0.0450342587679938,
      0.0703954122880773,
      0.08527109673751,
      0.0469704499336888,
      0.0362997462358308,
      0.10288325933455,
      0.0401723700370897,
      0.0888797238342407,
      0.0684121937131571,
      0.0626798464782133,
      0.0608871962833827,
      0.0806049816881771,
      0.0373929726639471,
      0.0895194672358555,
      0.0463607677594165,
      0.049178085647914,
      0.0330164252885486,
      0.0527019936012203,
      0.0416922001680691,
      0.0696077438693735,
      0.0365324313229364,
      0.0727667718281145,
      0.0463160716885472,
      0.0497306946756031,
      0.0595874692858383,
      0.0277831057344863,
      0.0603941718429633,
      0.041489256595336,
      0.0238533426928544,
      0.0331754422734232,
      0.0559366279934416,
      0.0502328071637209,
      0.0391859722371816,
      0.0496275249055848,
      0.0451610808842512,
      0.0314336013732498,
      0.0729779863072809,
      0.0395075890186828,
      0.0547444419012833,
      0.0521329081323659,
      0.0701067766068536,
      0.140751993491928,
      0.191998233510401,
      0.142502092578259
    ],
    "repetition_pairs": [
      {
        "segment_a": 23,
        "segment_b": 49,
        "similarity": 0.751999951473878
      }
    ],
    "vocal_activity_map": [
      0,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0,
      0,
      1,
      1,
      1,
      1,
      1,
      0,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0,
      0,
      1,
      1,
      1,
      1,
      1,
      0,
      0,
      1,
      1,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0,
      0,
      1,
      1,
      1,
      1,
      1,
      1,
      0,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0,
      0,
      0,
      1,
      1,
      0,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0,
      0,
      1,
      1,
      0,
      1,
      1,
      1,
      1,
      0,
      0,
      1,
      1,
      1,
      1,
      1,
      0,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0,
      1,
      1,
      1,
      1,
      0,
      0,
      1,
      1,
      1,
      1,
      1,
      1,
      0,
      1,
      1,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      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,
      1,
      0,
      0,
      1,
      0,
      1,
      1,
      1,
      1,
      1,
      1,
      0,
      1,
      1,
      0,
      0,
      0,
      0,
      0,
      1,
      1,
      1,
      1,
      1,
      0,
      1,
      0,
      0,
      1,
      0,
      1,
      1,
      0,
      1,
      1,
      0,
      1,
      1,
      1,
      1,
      1,
      1,
      0,
      0,
      0,
      1,
      1,
      1,
      1,
      1,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      1,
      0,
      1,
      1,
      1,
      1,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      1,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      1,
      1,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0,
      1,
      1,
      1,
      1,
      0,
      0,
      1,
      1,
      0,
      0,
      1,
      1,
      0,
      0,
      0,
      1,
      1,
      1,
      1,
      1,
      1,
      0,
      0,
      0,
      1,
      1,
      1,
      0,
      1,
      1,
      1,
      1,
      0,
      0,
      1,
      1,
      0,
      0,
      0,
      1,
      1,
      1,
      1,
      1,
      0,
      1,
      1,
      1,
      1,
      0,
      1,
      0,
      0,
      0,
      1,
      1,
      1,
      1,
      1,
      0,
      0,
      1,
      0,
      0,
      0,
      0,
      0,
      1,
      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": 9.02,
    "stem_separation_quality": 0.8873,
    "vocal_rms": 0.123342,
    "vocal_prominence": 0.5797,
    "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": 0.3225,
    "vocal_voiced_ratio": 0,
    "vocal_effort_curve": [
      0.2932,
      0.3022,
      0.3113,
      0.356,
      0.3538,
      0.3461,
      0.3758,
      0.3368,
      0.3043,
      0.2792,
      0.1011,
      0.0007,
      0.1682,
      0.5332,
      0.3625,
      0.2615,
      0.3293,
      0.2012,
      0.3294,
      0.3907,
      0.2924,
      0.4813,
      0.3399,
      0.2004,
      0.2174,
      0.0719,
      0.4044,
      0.329,
      0.3283,
      0.4075,
      0.2846,
      0.2369,
      0.1508,
      0.0021,
      0.0003,
      0.3133,
      0.523,
      0.3577,
      0.2366,
      0.2024,
      0.2142,
      0.2423,
      0.2355,
      0.1576,
      0.0228,
      0.0015,
      0.0007,
      0.0008,
      0.0006,
      0.0008,
      0.0007,
      0.0008,
      0.1794,
      0.3744,
      0.6231,
      0.7505,
      0.9342,
      0.7797,
      0.4034,
      0.5163,
      0.45,
      0.3696,
      0.0214,
      0.0006,
      0.4499,
      0.4714,
      0.1832,
      0.2795,
      0.2573,
      0.1102,
      0.1165,
      0.5854,
      0.3545,
      0.4222,
      0.2553,
      0.3667,
      0.737,
      0.7172,
      0.7993,
      0.3188,
      0.2102,
      0.3464,
      0.364,
      0.2494,
      0.058,
      0.0028,
      0.0018,
      0.4594,
      0.5325,
      0.3804,
      0.4591,
      0.429,
      0.4604,
      0.5277,
      0.714,
      1,
      0.6935,
      0.8669,
      0.4947,
      0.3332,
      0.4062,
      0.4436,
      0.4285,
      0.4551,
      0.4773,
      0.3846,
      0.307,
      0.323,
      0.0739,
      0.0081,
      0.4594,
      0.5979,
      0.5029,
      0.4611,
      0.5149,
      0.2169,
      0.5102,
      0.635,
      0.6921,
      0.6165,
      0.4493,
      0.3256,
      0.448,
      0.3392,
      0.4083,
      0.4257,
      0.3771,
      0.3953,
      0.4239,
      0.3908,
      0.2081,
      0.1229,
      0.8226,
      0.4479,
      0.527,
      0.6145,
      0.4486,
      0.4589,
      0.3595,
      0.4746,
      0.464,
      0.1686,
      0.0041,
      0.0013,
      0.0013,
      0.0005,
      0.0007,
      0.0007,
      0.0005,
      0.0008,
      0.0004,
      0.0002,
      0.0003,
      0.0005,
      0.0007,
      0.0007,
      0.0007,
      0.0007,
      0.0005,
      0.0006,
      0.0007,
      0.0015,
      0.0013,
      0.0013,
      0.0006,
      0.0005,
      0.0007,
      0.0009,
      0.0008,
      0.0004,
      0.0005,
      0.0005,
      0.0005,
      0.0002,
      0.0006,
      0.0321,
      0.1876,
      0.1617,
      0.1217,
      0.1875,
      0.1589,
      0.1459,
      0.2109,
      0.248,
      0.192,
      0.2001,
      0.1861,
      0.0593,
      0.0041,
      0.0186,
      0.1643,
      0.0813,
      0.001,
      0.0005,
      0.0004,
      0.0005,
      0.0005,
      0.0007,
      0.0997,
      0.2785,
      0.2314,
      0.247,
      0.2171,
      0.2096,
      0.2458,
      0.2205,
      0.2354,
      0.2093,
      0.2399,
      0.095,
      0.0009,
      0.0017,
      0.156,
      0.1584,
      0.0057,
      0.0006,
      0.0011,
      0.0007,
      0.0005,
      0.0021,
      0.1637,
      0.2228,
      0.2893,
      0.1837,
      0.2943,
      0.183,
      0.1885,
      0.1833,
      0.1995,
      0.2202,
      0.1469,
      0.2849,
      0.5273,
      0.6836,
      0.838,
      0.8315,
      0.7788,
      0.6425,
      0.574,
      0.4474,
      0.5673,
      0.346,
      0.5701,
      0.7065,
      0.5208,
      0.9422,
      0.9304,
      0.4833,
      0.4914,
      0.7051,
      0.5425,
      0.4458,
      0.2429,
      0.2223,
      0.301,
      0.4969,
      0.9829,
      0.8627,
      0.9571,
      0.7017,
      0.7431,
      0.3417,
      0.6329,
      0.2102,
      0.4509,
      0.7743,
      0.411,
      0.288,
      0.3362,
      0.3895,
      0.5777,
      0.3724,
      0.4298,
      0.7078,
      0.9881,
      0.6464,
      0.8287,
      0.615,
      0.3919,
      0.6438,
      0.4406,
      0.5449,
      0.6202,
      0.4085,
      0.4078,
      0.3548,
      0.3288,
      0.1643,
      0.1858,
      0.398,
      0.6789,
      0.6115,
      0.5085,
      0.4605,
      0.3852,
      0.492,
      0.7466,
      0.6891,
      0.6038,
      0.3969,
      0.3496,
      0.4533,
      0.5576,
      0.468,
      0.44,
      0.4995,
      0.4405,
      0.3729,
      0.3057,
      0.2389,
      0.1579,
      0.2085,
      0.4014,
      0.5132,
      0.4363,
      0.3536,
      0.3348,
      0.3578,
      0.4959,
      0.4246,
      0.5444,
      0.3401,
      0.4264,
      0.4059,
      0.4029,
      0.4387,
      0.3608,
      0.3646,
      0.5388,
      0.4751,
      0.812,
      0.5392,
      0.3436,
      0.7478,
      0.6655,
      0.7151,
      0.5979,
      0.4332,
      0.436,
      0.3463,
      0.4374,
      0.7378,
      0.4978,
      0.5607,
      0.5157,
      0.594,
      0.7161,
      0.6947,
      0.5756,
      0.7864,
      0.4504,
      0.4705,
      0.377,
      0.5786,
      0.663,
      0.6375,
      0.6337,
      0.5733,
      0.7457,
      0.7518,
      0.6028,
      0.4121,
      0.7307,
      0.7042,
      0.6942,
      0.4897,
      0.7703,
      0.5661,
      0.2026,
      0.3774,
      0.4142,
      0.4205,
      0.4791,
      0.3671,
      0.2999,
      0.2735,
      0.3044,
      0.4558,
      0.4774,
      0.5283,
      0.5929,
      0.6294,
      0.6623,
      0.5501,
      0.3872,
      0.6939,
      0.5638,
      0.5861,
      0.4795,
      0.4578,
      0.4606,
      0.5256,
      0.228,
      0.2684,
      0.4662,
      0.8128,
      0.8689,
      0.7171,
      0.491,
      0.2393,
      0.5715,
      0.6849,
      0.675,
      0.5726,
      0.583,
      0.4503,
      0.4523,
      0.2562,
      0.202,
      0.2285,
      0.4658,
      0.3614,
      0.1614,
      0.0837,
      0.0648,
      0.0952,
      0.0967,
      0.0505,
      0.0171,
      0.0173,
      0.0126,
      0.0194,
      0.0703,
      0.0611,
      0.0328,
      0.0097,
      0.008,
      0.006,
      0.0027,
      0.0016,
      0.0004,
      0,
      0,
      0,
      0
    ],
    "vocal_pitch_curve": [],
    "drums_rms": 0.115788,
    "drums_prominence": 0.5442,
    "drums_onset_density": 4.3823,
    "drums_pattern_complexity": 0.0136,
    "drums_timing_variance": 0.017597,
    "drums_is_programmed": true,
    "drums_energy_curve": [
      0.0349,
      0.4676,
      0.053,
      0.0077,
      0.5892,
      0.1088,
      0.3376,
      0.1761,
      0.0538,
      0.4257,
      0.4781,
      0.0772,
      0.4596,
      0.0329,
      0.0531,
      0.4441,
      0.4185,
      0.0085,
      0.4424,
      0.0485,
      0.288,
      0.3419,
      0.4346,
      0.4562,
      0.0879,
      0.0748,
      0.4209,
      0.033,
      0.0612,
      0.3821,
      0.0547,
      0.0064,
      0.6106,
      0.1788,
      0.0264,
      0.4369,
      0.0468,
      0.4379,
      0.427,
      0.0581,
      0.4472,
      0.4496,
      0.4173,
      0.529,
      0.4647,
      0.457,
      0.6131,
      0.5249,
      0.5982,
      0.6275,
      0.6811,
      0.6999,
      0.6181,
      0.7383,
      0.6261,
      0.4356,
      0.0967,
      0.4932,
      0.2647,
      0.2431,
      0.381,
      0.3085,
      0.3833,
      0.3766,
      0.2801,
      0.4128,
      0.5344,
      0.1034,
      0.5716,
      0.3397,
      0.311,
      0.3182,
      0.5072,
      0.4273,
      0.5407,
      0.5359,
      0.4646,
      0.3744,
      0.2694,
      0.343,
      0.4787,
      0.0668,
      0.53,
      0.307,
      0.3151,
      0.3995,
      0.5376,
      0.3683,
      0.3507,
      0.3166,
      0.3947,
      0.4835,
      0.1405,
      0.3941,
      0.4967,
      0.2585,
      0.5129,
      0.7054,
      0.6383,
      0.4948,
      0.4803,
      0.4272,
      0.3639,
      0.3022,
      0.3823,
      0.4743,
      0.4221,
      0.4139,
      0.508,
      0.3909,
      0.3811,
      0.4055,
      0.3338,
      0.1977,
      0.4416,
      0.4,
      0.3583,
      0.2879,
      0.3069,
      0.5101,
      0.459,
      0.4147,
      0.4419,
      0.0515,
      0.5508,
      0.379,
      0.3379,
      0.2125,
      0.4241,
      0.3741,
      0.3989,
      0.4618,
      0.2897,
      0.3195,
      0.2539,
      0.2746,
      0.4482,
      0.3846,
      0.3537,
      0.4955,
      0.5106,
      0.7331,
      0.8786,
      0.812,
      0.4111,
      0.3404,
      0.3679,
      0.3444,
      0.2858,
      0.3308,
      0.5609,
      0.123,
      0.5286,
      0.3368,
      0.0949,
      0.6018,
      0.2671,
      0.4402,
      0.4381,
      0.2865,
      0.4291,
      0.4286,
      0.2678,
      0.4114,
      0.5906,
      0.539,
      0.6276,
      0.4041,
      0.276,
      0.5758,
      0.2929,
      0.4079,
      0.4436,
      0.3003,
      0.3475,
      0.4098,
      0.1944,
      0.3906,
      0.4776,
      0.0985,
      0.3801,
      0.4456,
      0.1779,
      0.3358,
      0.4735,
      0.5533,
      0.4861,
      0.6254,
      0.5353,
      0.4223,
      0.423,
      0.4563,
      0.4886,
      0.0863,
      0.3788,
      0.4609,
      0.368,
      0.2618,
      0.4784,
      0.4772,
      0.4208,
      0.2577,
      0.3721,
      0.4735,
      0.3567,
      0.3414,
      0.4055,
      0.3374,
      0.4373,
      0.4896,
      0.4827,
      0.3482,
      0.4722,
      0.3851,
      0.4207,
      0.2497,
      0.3531,
      0.4247,
      0.058,
      0.3723,
      0.4752,
      0.3654,
      0.3912,
      0.4536,
      0.3516,
      0.3683,
      0.4142,
      0.3738,
      0.3971,
      0.4196,
      0.6266,
      0.7306,
      0.8103,
      0.4988,
      0.2734,
      0.2888,
      0.3253,
      0.365,
      0.5645,
      0.3968,
      0.3587,
      0.3649,
      0.341,
      0.408,
      0.395,
      0.4147,
      0.0676,
      0.3743,
      0.4727,
      0.3928,
      0.3017,
      0.5684,
      0.5702,
      0.5337,
      0.8155,
      0.601,
      0.343,
      0.4153,
      0.3288,
      0.4253,
      0.3722,
      0.3969,
      0.4263,
      0.4098,
      0.2364,
      0.3723,
      0.4716,
      0.4377,
      0.348,
      0.5515,
      0.368,
      0.5408,
      0.4299,
      0.4678,
      0.3007,
      0.3184,
      0.6373,
      0.6006,
      0.5229,
      0.4163,
      0.3053,
      0.3969,
      0.4601,
      0.3818,
      0.374,
      0.3646,
      0.397,
      0.379,
      0.4476,
      0.3762,
      0.3647,
      0.3174,
      0.3719,
      0.4401,
      0.3731,
      0.2902,
      0.3833,
      0.4802,
      0.3552,
      0.4685,
      0.5322,
      0.4809,
      0.2933,
      0.5121,
      0.4127,
      0.0899,
      0.399,
      0.417,
      0.3881,
      0.5324,
      0.6331,
      0.5978,
      0.1122,
      0.0314,
      0.028,
      0.3687,
      0.5078,
      0.3681,
      0.4778,
      0.3678,
      0.55,
      0.4998,
      0.3574,
      0.5617,
      0.3947,
      0.5199,
      0.4009,
      0.4978,
      0.4696,
      0.4286,
      0.5027,
      0.4261,
      0.0235,
      0.0015,
      0.3792,
      0.5076,
      0.3884,
      0.5363,
      0.3929,
      0.5113,
      0.4434,
      0.3678,
      0.5692,
      0.5651,
      0.8603,
      0.4988,
      0.5386,
      0.382,
      0.4188,
      0.4702,
      0.4427,
      0.4456,
      0.5927,
      0.3855,
      0.3767,
      0.3364,
      0.5617,
      0.3322,
      0.3731,
      0.3447,
      0.4045,
      0.4101,
      0.3503,
      0.3957,
      0.3024,
      0.5181,
      0.5914,
      1,
      0.4875,
      0.4969,
      0.4316,
      0.3751,
      0.4744,
      0.488,
      0.4368,
      0.4688,
      0.4466,
      0.5714,
      0.5703,
      0.3592,
      0.3591,
      0.4999,
      0.5132,
      0.5081,
      0.7782,
      0.5966,
      0.7545,
      0.6339,
      0.8284,
      0.487,
      0.5151,
      0.5404,
      0.4314,
      0.5213,
      0.5315,
      0.3816,
      0.4246,
      0.4273,
      0.3405,
      0.5521,
      0.4719,
      0.3782,
      0.3113,
      0.3954,
      0.4201,
      0.3368,
      0.4085,
      0.3449,
      0.3524,
      0.4077,
      0.3095,
      0.5565,
      0.343,
      0.2171,
      0.1878,
      0.202,
      0.1352,
      0.1692,
      0.1252,
      0.1214,
      0.0779,
      0.0714,
      0.0636,
      0.0471,
      0.0365,
      0.0354,
      0.0272,
      0.0174,
      0.0076,
      0.0041,
      0.0014,
      0.0001,
      0,
      0,
      0
    ],
    "bass_rms": 0.151678,
    "bass_prominence": 0.7128,
    "bass_pitch_mean": 70.33,
    "bass_root_note": "Ab",
    "bass_sub_ratio": 0.4642,
    "bass_line_complexity": 1,
    "bass_energy_curve": [
      0.0003,
      0.0018,
      0.0004,
      0.0004,
      0.0026,
      0.0019,
      0.0014,
      0.0047,
      0.0003,
      0.0023,
      0.0027,
      0.0002,
      0.0004,
      0.0005,
      0.0004,
      0.002,
      0.0008,
      0.0005,
      0.0011,
      0.0004,
      0.0004,
      0.0014,
      0.0003,
      0.0006,
      0.0005,
      0.0003,
      0.0013,
      0.0007,
      0.0004,
      0.0022,
      0.0005,
      0.0004,
      0.0009,
      0.0002,
      0.0004,
      0.0009,
      0.0005,
      0.0018,
      0.0021,
      0.0005,
      0.0018,
      0.0014,
      0.0012,
      0.1047,
      0.075,
      0.2101,
      0.6274,
      0.7936,
      0.8839,
      0.9319,
      0.8915,
      0.8513,
      0.9133,
      0.5496,
      0.5664,
      0.5879,
      0.195,
      0.5299,
      0.6469,
      0.7201,
      0.6257,
      0.3091,
      0.8304,
      0.785,
      0.185,
      0.4859,
      0.5775,
      0.2436,
      0.4987,
      0.6221,
      0.5877,
      0.5026,
      0.4399,
      0.5643,
      0.6921,
      0.7367,
      0.5885,
      0.6697,
      0.2314,
      0.8367,
      0.721,
      0.537,
      0.7297,
      0.5057,
      0.8386,
      0.7738,
      0.275,
      1,
      0.3595,
      0.6134,
      0.4227,
      0.3269,
      0.5,
      0.6603,
      0.6455,
      0.5169,
      0.5291,
      0.6017,
      0.508,
      0.9794,
      0.4354,
      0.7558,
      0.3863,
      0.5268,
      0.8324,
      0.7069,
      0.9475,
      0.6599,
      0.4936,
      0.8298,
      0.6615,
      0.6563,
      0.7269,
      0.4013,
      0.4197,
      0.4387,
      0.34,
      0.5217,
      0.725,
      0.2074,
      0.6399,
      0.852,
      0.6036,
      0.6062,
      0.4578,
      0.3271,
      0.6829,
      0.6628,
      0.8113,
      0.3803,
      0.7771,
      0.6064,
      0.6273,
      0.6853,
      0.8113,
      0.7904,
      0.5429,
      0.6404,
      0.5178,
      0.6597,
      0.5303,
      0.9165,
      0.6193,
      0.5367,
      0.6843,
      0.4322,
      0.5848,
      0.8546,
      0.3234,
      0.8783,
      0.6117,
      0.1657,
      0.6656,
      0.7349,
      0.8162,
      0.7261,
      0.4822,
      0.6063,
      0.6475,
      0.4123,
      0.7103,
      0.3206,
      0.5614,
      0.8432,
      0.5591,
      0.7612,
      0.6481,
      0.6771,
      0.6925,
      0.8818,
      0.5702,
      0.7138,
      0.5563,
      0.2288,
      0.9143,
      0.7793,
      0.9346,
      0.8809,
      0.5189,
      0.4504,
      0.5212,
      0.4653,
      0.2926,
      0.7957,
      0.7369,
      0.6167,
      0.7544,
      0.7897,
      0.8909,
      0.7284,
      0.5592,
      0.6315,
      0.3291,
      0.7875,
      0.7396,
      0.7196,
      0.7994,
      0.8479,
      0.6365,
      0.698,
      0.7855,
      0.8618,
      0.7787,
      0.4255,
      0.5669,
      0.6695,
      0.4013,
      0.6149,
      0.4707,
      0.6935,
      0.4867,
      0.8777,
      0.3204,
      0.7862,
      0.3274,
      0.7048,
      0.8031,
      0.7021,
      0.8993,
      0.6345,
      0.516,
      0.8062,
      0.7428,
      0.6962,
      0.66,
      0.6697,
      0.683,
      0.8558,
      0.6725,
      0.7534,
      0.7597,
      0.8411,
      0.6304,
      0.7448,
      0.6231,
      0.5817,
      0.4786,
      0.6027,
      0.3707,
      0.5681,
      0.1129,
      0.7122,
      0.7928,
      0.784,
      0.5613,
      0.2765,
      0.4942,
      0.4978,
      0.5279,
      0.6317,
      0.5458,
      0.5795,
      0.4852,
      0.7841,
      0.5386,
      0.668,
      0.5458,
      0.6388,
      0.6602,
      0.1158,
      0.5951,
      0.7458,
      0.3954,
      0.3966,
      0.6295,
      0.6663,
      0.7645,
      0.8745,
      0.6727,
      0.8149,
      0.7461,
      0.691,
      0.6733,
      0.4719,
      0.4673,
      0.2821,
      0.3122,
      0.2855,
      0.9536,
      0.4988,
      0.6123,
      0.4688,
      0.4846,
      0.6936,
      0.5629,
      0.8738,
      0.8706,
      0.5687,
      0.6544,
      0.7261,
      0.588,
      0.717,
      0.5193,
      0.4401,
      0.2414,
      0.5202,
      0.4654,
      0.7704,
      0.3613,
      0.6515,
      0.6757,
      0.8117,
      0.5356,
      0.5431,
      0.2625,
      0.6757,
      0.8161,
      0.9475,
      0.4053,
      0.6722,
      0.58,
      0.8089,
      0.8212,
      0.4666,
      0.5308,
      0.3022,
      0.3888,
      0.3656,
      0.4121,
      0.4437,
      0.4139,
      0.6523,
      0.6099,
      0.7034,
      0.8568,
      0.894,
      0.7247,
      0.6084,
      0.6834,
      0.6491,
      0.5841,
      0.8176,
      0.5753,
      0.0173,
      0.6708,
      0.6455,
      0.7576,
      0.6635,
      0.5146,
      0.5114,
      0.5476,
      0.4171,
      0.8066,
      0.8238,
      0.5983,
      0.7967,
      0.5544,
      0.5807,
      0.6295,
      0.2478,
      0.73,
      0.815,
      0.6607,
      0.5621,
      0.7095,
      0.5994,
      0.6143,
      0.7041,
      0.6715,
      0.693,
      0.5062,
      0.7284,
      0.5216,
      0.6245,
      0.7072,
      0.5913,
      0.6691,
      0.389,
      0.9318,
      0.4064,
      0.7119,
      0.4072,
      0.6109,
      0.7678,
      0.7069,
      0.3109,
      0.6445,
      0.7005,
      0.6776,
      0.8146,
      0.8644,
      0.6913,
      0.3916,
      0.7265,
      0.6967,
      0.5963,
      0.3242,
      0.7058,
      0.5065,
      0.7075,
      0.8128,
      0.545,
      0.6254,
      0.617,
      0.1705,
      0.5636,
      0.5965,
      0.7164,
      0.8248,
      0.7081,
      0.5696,
      0.5537,
      0.5727,
      0.6555,
      0.4407,
      0.4968,
      0.5965,
      0.4513,
      0.4242,
      0.4429,
      0.3392,
      0.2705,
      0.3821,
      0.4417,
      0.1645,
      0.2535,
      0.0699,
      0.1921,
      0.1942,
      0.055,
      0.0245,
      0.0193,
      0.0281,
      0.0202,
      0.0365,
      0.0504,
      0.0323,
      0.021,
      0.0084,
      0.0059,
      0.003,
      0.0003,
      0,
      0,
      0
    ],
    "other_rms": 0.062048,
    "other_prominence": 0.2916,
    "other_spectral_centroid": 0.0889,
    "other_harmonic_density": 0.9938,
    "other_energy_curve": [
      0.0638,
      0.0538,
      0.1945,
      0.0961,
      0.0065,
      0.1937,
      0.0895,
      0.0049,
      0.1429,
      0.0282,
      0.004,
      0.0858,
      0.0326,
      0.0047,
      0.1475,
      0.0341,
      0.0674,
      0.0878,
      0.0041,
      0.1854,
      0.0905,
      0.1667,
      0.2223,
      0.1288,
      0.1143,
      0.2072,
      0.0771,
      0.073,
      0.2431,
      0.1082,
      0.1795,
      0.1661,
      0.0559,
      0.1113,
      0.0971,
      0.0371,
      0.165,
      0.0486,
      0.0492,
      0.1168,
      0.1349,
      0.1491,
      0.2773,
      0.2026,
      0.1363,
      0.1001,
      0.0989,
      0.1585,
      0.2022,
      0.332,
      0.3292,
      0.5209,
      0.6048,
      0.5271,
      0.4353,
      0.3837,
      0.3478,
      0.235,
      0.2146,
      0.2028,
      0.1881,
      0.2022,
      0.1617,
      0.105,
      0.0921,
      0.049,
      0.0227,
      0.1704,
      0.0598,
      0.2493,
      0.3383,
      0.4523,
      0.5501,
      0.6491,
      0.2041,
      0.4189,
      0.1306,
      0.127,
      0.3117,
      0.3136,
      0.339,
      0.3218,
      0.216,
      0.2011,
      0.205,
      0.343,
      0.2771,
      0.1814,
      0.2714,
      0.3536,
      0.3117,
      0.4031,
      0.3911,
      0.3424,
      0.3586,
      0.4007,
      0.3704,
      0.2952,
      0.5255,
      0.2437,
      0.5608,
      0.2397,
      0.2141,
      0.2872,
      0.2396,
      0.2907,
      0.2304,
      0.2194,
      0.4631,
      0.3796,
      0.4061,
      0.4314,
      0.3261,
      0.3757,
      0.3443,
      0.5081,
      0.4724,
      0.3759,
      0.3597,
      0.2946,
      0.4677,
      0.5455,
      0.4446,
      0.5018,
      0.2975,
      0.4403,
      0.4778,
      0.4238,
      0.3395,
      0.2692,
      0.3504,
      0.4622,
      0.4354,
      0.407,
      0.4183,
      0.483,
      0.3837,
      0.4728,
      0.5113,
      0.3662,
      0.2826,
      0.4281,
      0.4065,
      0.5439,
      0.8968,
      0.728,
      0.6805,
      0.6171,
      1,
      0.6568,
      0.5445,
      0.5624,
      0.6836,
      0.4872,
      0.3233,
      0.109,
      0.3405,
      0.1523,
      0.3871,
      0.5905,
      0.5199,
      0.8083,
      0.8253,
      0.7413,
      0.4241,
      0.7032,
      0.4045,
      0.6214,
      0.4842,
      0.3024,
      0.4902,
      0.5007,
      0.4495,
      0.4291,
      0.2135,
      0.168,
      0.4945,
      0.4031,
      0.8393,
      0.6524,
      0.6661,
      0.9239,
      0.7505,
      0.5811,
      0.4685,
      0.6872,
      0.7925,
      0.7333,
      0.8124,
      0.7514,
      0.8092,
      0.6158,
      0.7187,
      0.6042,
      0.5141,
      0.621,
      0.2939,
      0.2687,
      0.4904,
      0.4461,
      0.4074,
      0.5194,
      0.4384,
      0.7091,
      0.6266,
      0.7284,
      0.8912,
      0.9175,
      0.8304,
      0.7928,
      0.6609,
      0.7131,
      0.574,
      0.712,
      0.6632,
      0.8083,
      0.7517,
      0.5735,
      0.6777,
      0.4274,
      0.3141,
      0.4199,
      0.495,
      0.7383,
      0.5727,
      0.7061,
      0.6734,
      0.5187,
      0.5385,
      0.5344,
      0.495,
      0.3668,
      0.2913,
      0.4121,
      0.4712,
      0.4927,
      0.4033,
      0.2958,
      0.32,
      0.3454,
      0.3071,
      0.4564,
      0.4512,
      0.2706,
      0.3778,
      0.223,
      0.2356,
      0.3338,
      0.3027,
      0.2574,
      0.4327,
      0.3826,
      0.3077,
      0.3271,
      0.2573,
      0.1385,
      0.3402,
      0.4336,
      0.4048,
      0.3671,
      0.2716,
      0.2718,
      0.2765,
      0.2736,
      0.15,
      0.1493,
      0.3117,
      0.3926,
      0.4337,
      0.4167,
      0.4682,
      0.4438,
      0.3625,
      0.4752,
      0.5234,
      0.5671,
      0.4381,
      0.4733,
      0.182,
      0.3259,
      0.4321,
      0.22,
      0.3574,
      0.5349,
      0.4131,
      0.322,
      0.1754,
      0.343,
      0.4495,
      0.3321,
      0.2725,
      0.2343,
      0.2548,
      0.2217,
      0.3135,
      0.2914,
      0.2393,
      0.2202,
      0.2511,
      0.3897,
      0.4592,
      0.3024,
      0.4217,
      0.3523,
      0.366,
      0.2596,
      0.2255,
      0.2249,
      0.2242,
      0.2451,
      0.2814,
      0.2544,
      0.3269,
      0.0954,
      0.2768,
      0.2144,
      0.2538,
      0.1218,
      0.2791,
      0.1142,
      0.2609,
      0.1899,
      0.2484,
      0.0984,
      0.1523,
      0.0642,
      0.2886,
      0.0888,
      0.3016,
      0.1502,
      0.2321,
      0.262,
      0.075,
      0.0061,
      0.2354,
      0.2588,
      0.3573,
      0.3313,
      0.4059,
      0.3815,
      0.3673,
      0.3915,
      0.3366,
      0.3699,
      0.2859,
      0.2216,
      0.2969,
      0.4264,
      0.3152,
      0.3333,
      0.2888,
      0.2929,
      0.2764,
      0.1805,
      0.243,
      0.2666,
      0.3353,
      0.5603,
      0.3907,
      0.3488,
      0.3516,
      0.2749,
      0.2916,
      0.3671,
      0.215,
      0.2992,
      0.2563,
      0.3098,
      0.1779,
      0.3759,
      0.3759,
      0.2995,
      0.3002,
      0.3128,
      0.3383,
      0.3192,
      0.0606,
      0.4143,
      0.3366,
      0.3431,
      0.257,
      0.4779,
      0.3412,
      0.36,
      0.3852,
      0.2922,
      0.2923,
      0.3672,
      0.2608,
      0.4195,
      0.4492,
      0.4112,
      0.475,
      0.386,
      0.4159,
      0.3299,
      0.2904,
      0.2117,
      0.0337,
      0.288,
      0.3372,
      0.3028,
      0.3628,
      0.403,
      0.3446,
      0.3566,
      0.2694,
      0.342,
      0.3047,
      0.2385,
      0.2482,
      0.1774,
      0.0865,
      0.0494,
      0.201,
      0.1657,
      0.1142,
      0.1252,
      0.0833,
      0.0804,
      0.0354,
      0.0288,
      0.0579,
      0.047,
      0.0389,
      0.0224,
      0.0258,
      0.011,
      0.0076,
      0.0043,
      0.0009,
      0.0001,
      0,
      0,
      0
    ],
    "rhythmic_foundation": 1,
    "harmonic_vocal_balance": 0.6653,
    "key_validated": false,
    "key_bass_agreement": false,
    "section_map": [
      {
        "type": "verse",
        "end_seconds": 71.5,
        "start_seconds": 0
      },
      {
        "type": "instrumental",
        "end_seconds": 122,
        "start_seconds": 71.5
      },
      {
        "type": "verse",
        "end_seconds": 133.5,
        "start_seconds": 122
      },
      {
        "type": "chorus",
        "end_seconds": 139.5,
        "start_seconds": 133.5
      },
      {
        "type": "verse",
        "end_seconds": 189,
        "start_seconds": 139.5
      },
      {
        "type": "chorus",
        "end_seconds": 199,
        "start_seconds": 189
      },
      {
        "type": "verse",
        "end_seconds": 210,
        "start_seconds": 199
      },
      {
        "type": "outro",
        "end_seconds": 217.5,
        "start_seconds": 210
      }
    ],
    "created_at": "2026-03-19T06:23:48.60227+00:00",
    "updated_at": "2026-03-22T16:20:57.133033+00:00",
    "drums_classification_confidence": 0.95,
    "drums_classification_source": "algorithm_confident",
    "vocal_energy_curve": [
      0.131127998232841,
      0.201408073306084,
      0.211914554238319,
      0.190970331430435,
      0.276434600353241,
      0.242059618234634,
      0.242508217692375,
      0.249346539378166,
      0.264015078544617,
      0.193857461214066,
      0.0892964974045753,
      0.000833359721582383,
      0.026970824226737,
      0.314352840185165,
      0.342702835798264,
      0.179963380098343,
      0.233220472931862,
      0.205860882997513,
      0.0845487639307976,
      0.328923046588898,
      0.235874012112617,
      0.287441164255142,
      0.294432312250137,
      0.19794125854969,
      0.0970247015357018,
      0.118293598294258,
      0.194065004587173,
      0.25234067440033,
      0.253717541694641,
      0.263652682304382,
      0.209680125117302,
      0.189227193593979,
      0.167857736349106,
      0.0527192205190659,
      0.00028937979368493,
      0.000886843597982079,
      0.294542342424393,
      0.376429349184036,
      0.216144874691963,
      0.135035395622253,
      0.178115800023079,
      0.10191560536623,
      0.149932950735092,
      0.184227794408798,
      0.0824642181396484,
      0.010981997475028,
      0.000709124142304063,
      0.000571933866012841,
      0.000567514915019274,
      0.000485852127894759,
      0.000649232009891421,
      0.000557243300136179,
      0.000632451788987964,
      0.0744525864720345,
      0.269757449626923,
      0.404652029275894,
      0.508269131183624,
      0.755464971065521,
      0.629927158355713,
      0.332100927829742,
      0.325850069522858,
      0.341176301240921,
      0.257766634225845,
      0.0460649058222771,
      0.00116427696775645,
      0.274252593517303,
      0.315645724534988,
      0.18222539126873,
      0.162902608513832,
      0.23773480951786,
      0.115748941898346,
      0.00299270544201136,
      0.259963005781174,
      0.327015429735184,
      0.34143802523613,
      0.217998623847961,
      0.217503294348717,
      0.383415997028351,
      0.603481829166412,
      0.506217896938324,
      0.46401584148407,
      0.051965806633234,
      0.207569241523743,
      0.274473369121552,
      0.161413952708244,
      0.138907954096794,
      0.000874399323947728,
      0.00166683015413582,
      0.0765539333224297,
      0.437047719955444,
      0.341926604509354,
      0.17553123831749,
      0.317517548799515,
      0.347277939319611,
      0.374032765626907,
      0.390845477581024,
      0.569552719593048,
      0.777190923690796,
      0.491894751787186,
      0.621511042118073,
      0.334397315979004,
      0.239385798573494,
      0.195217996835709,
      0.347331076860428,
      0.325263619422913,
      0.314937323331833,
      0.364088982343674,
      0.27839732170105,
      0.231399640440941,
      0.25606307387352,
      0.0522038303315639,
      0.00518716964870691,
      0.255383253097534,
      0.474867641925812,
      0.342805773019791,
      0.343331634998322,
      0.359371304512024,
      0.166123151779175,
      0.309854716062546,
      0.519915401935577,
      0.528567671775818,
      0.46428245306015,
      0.317813903093338,
      0.276708245277405,
      0.277353793382645,
      0.17841349542141,
      0.322767376899719,
      0.262511491775513,
      0.329392343759537,
      0.296387761831284,
      0.321699380874634,
      0.30006930232048,
      0.255043804645538,
      0.0604574307799339,
      0.353299468755722,
      0.453481882810593,
      0.394930005073547,
      0.364566057920456,
      0.469543427228928,
      0.260710060596466,
      0.371581703424454,
      0.129038885235786,
      0.44500008225441,
      0.261115700006485,
      0.078193686902523,
      0.000956138363108039,
      0.000894204131327569,
      0.000734095403458923,
      0.000401886063627899,
      0.000505150703247637,
      0.000468628393718973,
      0.000370893627405167,
      0.000547761039342731,
      0.000309608323732391,
      0.000142252101795748,
      0.000259096676018089,
      0.000414638867368922,
      0.000465478951809928,
      0.000485310942167416,
      0.000489117112010717,
      0.000515553401783109,
      0.00033570037339814,
      0.000433881854405627,
      0.000546416791621596,
      0.000927422021050006,
      0.00101659004576504,
      0.000846647482831031,
      0.00044102524407208,
      0.000399155833292753,
      0.000447322614490986,
      0.00063863821560517,
      0.000435378577094525,
      0.000423370220232755,
      0.000358820863766596,
      0.000391732697607949,
      0.00040080159669742,
      0.000167831138242036,
      0.000357133627403527,
      0.00381221226416528,
      0.0847451463341713,
      0.142724573612213,
      0.109272621572018,
      0.121059633791447,
      0.134188607335091,
      0.121134340763092,
      0.115875534713268,
      0.173962846398354,
      0.185545355081558,
      0.158674463629723,
      0.160711169242859,
      0.0926956832408905,
      0.0184205062687397,
      0.00245102727785707,
      0.0564245656132698,
      0.109386146068573,
      0.00871128402650356,
      0.000650447094812989,
      0.000375147414160892,
      0.000192509847693145,
      0.000376549956854433,
      0.000452546955784783,
      0.000601567793637514,
      0.105443298816681,
      0.22016353905201,
      0.177351057529449,
      0.185380175709724,
      0.166741549968719,
      0.159385100007057,
      0.196098610758781,
      0.173175469040871,
      0.179163873195648,
      0.162841036915779,
      0.186843022704124,
      0.0492100231349468,
      0.000638861674815416,
      0.00121143879368901,
      0.0901889055967331,
      0.115567073225975,
      0.005117601249367,
      0.000502006732858717,
      0.00076948874630034,
      0.000484690972371027,
      0.00043378648115322,
      0.000391882000258192,
      0.033086009323597,
      0.153941750526428,
      0.221159443259239,
      0.175375506281853,
      0.179905325174332,
      0.182214140892029,
      0.141950517892838,
      0.144140899181366,
      0.152693152427673,
      0.168749108910561,
      0.132014155387878,
      0.0933927521109581,
      0.358701407909393,
      0.358062624931335,
      0.654265344142914,
      0.657563149929047,
      0.607735335826874,
      0.615918755531311,
      0.428650110960007,
      0.407724171876907,
      0.266141295433044,
      0.482012450695038,
      0.144351124763489,
      0.392304092645645,
      0.492583692073822,
      0.525507748126984,
      0.726811110973358,
      0.614931285381317,
      0.337410241365433,
      0.443906456232071,
      0.46815949678421,
      0.323923081159592,
      0.267405599355698,
      0.205031618475914,
      0.134489521384239,
      0.200525000691414,
      0.415801495313644,
      0.751312434673309,
      0.695874035358429,
      0.752706050872803,
      0.482777923345566,
      0.523839175701141,
      0.264636188745499,
      0.452825963497162,
      0.100885286927223,
      0.188631370663643,
      0.618171751499176,
      0.285622179508209,
      0.176052451133728,
      0.24183963239193,
      0.193222433328629,
      0.461193114519119,
      0.302572220563889,
      0.262494772672653,
      0.440377950668335,
      0.783240497112274,
      0.546883285045624,
      0.491732627153397,
      0.470803380012512,
      0.370329946279526,
      0.419075101613998,
      0.285202860832214,
      0.316017478704453,
      0.38830554485321,
      0.345576286315918,
      0.287259340286255,
      0.363773375749588,
      0.235820546746254,
      0.191519513726234,
      0.0824179574847221,
      0.187934204936028,
      0.389006406068802,
      0.570796608924866,
      0.396570444107056,
      0.395209103822708,
      0.363001376390457,
      0.257170885801315,
      0.47774937748909,
      0.528119742870331,
      0.446962773799896,
      0.432855278253555,
      0.304619282484055,
      0.231387495994568,
      0.353221267461777,
      0.368233799934387,
      0.333641767501831,
      0.380089044570923,
      0.328168869018555,
      0.31373593211174,
      0.263759911060333,
      0.230848744511604,
      0.15143059194088,
      0.0995705351233482,
      0.163750872015953,
      0.292420297861099,
      0.394723355770111,
      0.335662603378296,
      0.274794489145279,
      0.261667460203171,
      0.27916744351387,
      0.374271214008331,
      0.338668346405029,
      0.411112993955612,
      0.251441478729248,
      0.292659252882004,
      0.338691651821136,
      0.308534294366837,
      0.349039852619171,
      0.265640527009964,
      0.295687168836594,
      0.407341778278351,
      0.272847712039948,
      0.619446337223053,
      0.494321256875992,
      0.218251660466194,
      0.384837865829468,
      0.579925537109375,
      0.420859754085541,
      0.580328941345215,
      0.339943587779999,
      0.323132812976837,
      0.326994240283966,
      0.276055037975311,
      0.500015735626221,
      0.409133911132812,
      0.413546741008759,
      0.403640300035477,
      0.411621272563934,
      0.308890074491501,
      0.647069871425629,
      0.489305377006531,
      0.457014322280884,
      0.53000807762146,
      0.219543024897575,
      0.36208763718605,
      0.227999538183212,
      0.501161217689514,
      0.537306845188141,
      0.384179681539536,
      0.462667852640152,
      0.43208521604538,
      0.589548230171204,
      0.536896526813507,
      0.393111020326614,
      0.325350373983383,
      0.527875542640686,
      0.515907764434814,
      0.505359888076782,
      0.368946611881256,
      0.558913588523865,
      0.393417149782181,
      0.156858086585999,
      0.255419671535492,
      0.285505801439285,
      0.334046572446823,
      0.335728019475937,
      0.276169210672379,
      0.207724571228027,
      0.204203173518181,
      0.241676554083824,
      0.206873700022697,
      0.393197178840637,
      0.326428115367889,
      0.516866564750671,
      0.368300259113312,
      0.482132405042648,
      0.456356048583984,
      0.354486286640167,
      0.369138896465302,
      0.481165051460266,
      0.456711769104004,
      0.370791763067245,
      0.303845226764679,
      0.364729851484299,
      0.333426415920258,
      0.159043550491333,
      0.208538040518761,
      0.308863461017609,
      0.303151994943619,
      0.647416472434998,
      0.708275318145752,
      0.39938759803772,
      0.263517886400223,
      0.18482118844986,
      0.524598479270935,
      0.522413909435272,
      0.511704683303833,
      0.449040859937668,
      0.359002500772476,
      0.390248119831085,
      0.260043352842331,
      0.186611339449883,
      0.14098285138607,
      0.215414509177208,
      0.300380349159241,
      0.271935254335403,
      0.109685584902763,
      0.0573681704699993,
      0.0430595874786377,
      0.0713900104165077,
      0.0740715563297272,
      0.0329982601106167,
      0.0130145670846105,
      0.0120842689648271,
      0.00958130322396755,
      0.00817252323031425,
      0.0538716688752174,
      0.0482931658625603,
      0.0275251995772123,
      0.00727041671052575,
      0.00597695540636778,
      0.00497982045635581,
      0.00224432069808245,
      0.00127200677525252,
      0.000336849218001589,
      0.000044588879973162,
      0.0000140940192068228,
      0.0000101621726571466,
      0.0000100781790024485,
      0.0000100796805782011,
      0.00000945050032896688
    ],
    "analysis_drums_energy_curve": [
      0.00853504706174135,
      0.180684462189674,
      0.0225368123501539,
      0.00347664183937013,
      0.247674778103828,
      0.0794939622282982,
      0.00270846160128713,
      0.142279952764511,
      0.0201361421495676,
      0.0683700293302536,
      0.244106933474541,
      0.0458573251962662,
      0.133460357785225,
      0.0465568415820599,
      0.019884005188942,
      0.145678281784058,
      0.17031030356884,
      0.0248504746705294,
      0.152290001511574,
      0.0172754973173141,
      0.00986119732260704,
      0.156039506196976,
      0.139314264059067,
      0.0532514788210392,
      0.170716226100922,
      0.0274364687502384,
      0.010794585570693,
      0.150944277644157,
      0.021770816296339,
      0.0389685109257698,
      0.108273923397064,
      0.0188088715076447,
      0.117031253874302,
      0.203254908323288,
      0.0378886424005032,
      0.146508455276489,
      0.0229276735335588,
      0.0160149876028299,
      0.157887771725655,
      0.160818725824356,
      0.016708716750145,
      0.165416151285172,
      0.180635660886765,
      0.15759813785553,
      0.291177719831467,
      0.146811351180077,
      0.200577676296234,
      0.301659464836121,
      0.259806215763092,
      0.302602708339691,
      0.319235533475876,
      0.333634823560715,
      0.34943550825119,
      0.285724192857742,
      0.408448219299316,
      0.355123072862625,
      0.212492078542709,
      0.0497063510119915,
      0.164573460817337,
      0.174864768981934,
      0.0398943312466145,
      0.211205527186394,
      0.134188428521156,
      0.11411065608263,
      0.178737074136734,
      0.104920223355293,
      0.151835411787033,
      0.170298427343369,
      0.138346016407013,
      0.166092917323112,
      0.221805214881897,
      0.0621378682553768,
      0.16170933842659,
      0.235177204012871,
      0.0372573956847191,
      0.233084663748741,
      0.258589297533035,
      0.224400952458382,
      0.244906812906265,
      0.119452483952045,
      0.096990130841732,
      0.18145515024662,
      0.102343425154686,
      0.12947441637516,
      0.16305673122406,
      0.117666266858578,
      0.143646940588951,
      0.18508069217205,
      0.211373060941696,
      0.150196716189384,
      0.210431843996048,
      0.0502143874764442,
      0.152344688773155,
      0.226412728428841,
      0.0399684347212315,
      0.15894778072834,
      0.226927816867828,
      0.131449580192566,
      0.221342042088509,
      0.420957952737808,
      0.346191585063934,
      0.217265278100967,
      0.22865030169487,
      0.16854864358902,
      0.136801451444626,
      0.113459721207619,
      0.15820424258709,
      0.184780061244965,
      0.186141908168793,
      0.165873944759369,
      0.225848153233528,
      0.162474602460861,
      0.150737404823303,
      0.177929937839508,
      0.0375131741166115,
      0.156197562813759,
      0.204084649682045,
      0.0810891538858414,
      0.115264415740967,
      0.205393120646477,
      0.109141476452351,
      0.188175618648529,
      0.252181470394135,
      0.220717340707779,
      0.13850125670433,
      0.0972954928874969,
      0.151556640863419,
      0.182826057076454,
      0.150043368339539,
      0.140476271510124,
      0.19073660671711,
      0.0335656329989433,
      0.184633955359459,
      0.174537435173988,
      0.148175492882729,
      0.118443965911865,
      0.180954068899155,
      0.0359979160130024,
      0.213965132832527,
      0.191494464874268,
      0.134497210383415,
      0.0938490778207779,
      0.202303990721703,
      0.314394474029541,
      0.38062447309494,
      0.565505087375641,
      0.328889131546021,
      0.167444631457329,
      0.141140922904015,
      0.163341403007507,
      0.176871180534363,
      0.0667205080389977,
      0.135794013738632,
      0.259214103221893,
      0.0574739500880241,
      0.243550419807434,
      0.137958019971848,
      0.0676315277814865,
      0.263288110494614,
      0.10930111259222,
      0.161389231681824,
      0.189399778842926,
      0.111514516174793,
      0.162984356284142,
      0.145673081278801,
      0.136770159006119,
      0.16143761575222,
      0.29642578959465,
      0.214384242892265,
      0.227005258202553,
      0.236970752477646,
      0.177645742893219,
      0.206933960318565,
      0.180387124419212,
      0.0325515381991863,
      0.284899145364761,
      0.13448666036129,
      0.114238798618317,
      0.187542155385017,
      0.0857661515474319,
      0.142209589481354,
      0.147551834583282,
      0.140901654958725,
      0.154405310750008,
      0.145666241645813,
      0.101271584630013,
      0.15697318315506,
      0.204898208379745,
      0.109683223068714,
      0.230396747589111,
      0.317362546920776,
      0.322978585958481,
      0.264212965965271,
      0.17976850271225,
      0.134208038449287,
      0.18060839176178,
      0.220277428627014,
      0.130409225821495,
      0.128400102257729,
      0.150136440992355,
      0.155281633138657,
      0.157332882285118,
      0.19786424934864,
      0.166264444589615,
      0.206917762756348,
      0.0473208650946617,
      0.143432766199112,
      0.220353811979294,
      0.140537589788437,
      0.140634685754776,
      0.185094773769379,
      0.127937644720078,
      0.184410527348518,
      0.221584111452103,
      0.224384427070618,
      0.16699144244194,
      0.212264627218246,
      0.151162549853325,
      0.159237265586853,
      0.102421075105667,
      0.143131747841835,
      0.144831374287605,
      0.0687489807605743,
      0.149358704686165,
      0.214156419038773,
      0.142556518316269,
      0.157079815864563,
      0.202475503087044,
      0.0309021361172199,
      0.230233237147331,
      0.179160535335541,
      0.122985571622849,
      0.111362360417843,
      0.190417394042015,
      0.323809385299683,
      0.390661060810089,
      0.469798743724823,
      0.349631875753403,
      0.130049556493759,
      0.174223884940147,
      0.13080258667469,
      0.136134952306747,
      0.172804340720177,
      0.173047348856926,
      0.233105912804604,
      0.0524801835417747,
      0.178054019808769,
      0.125395476818085,
      0.156119495630264,
      0.163064494729042,
      0.187561094760895,
      0.0846305191516876,
      0.105107389390469,
      0.210899889469147,
      0.219375595450401,
      0.155018612742424,
      0.182826295495033,
      0.269856840372086,
      0.258252024650574,
      0.49903130531311,
      0.284016519784927,
      0.142588227987289,
      0.195818141102791,
      0.14047871530056,
      0.192137837409973,
      0.149091824889183,
      0.155140250921249,
      0.205388978123665,
      0.135810568928719,
      0.111271403729916,
      0.172255769371986,
      0.162251606583595,
      0.220840618014336,
      0.154062569141388,
      0.228787302970886,
      0.164288714528084,
      0.153651282191277,
      0.255474597215652,
      0.153445363044739,
      0.183520466089249,
      0.15219509601593,
      0.230957880616188,
      0.383875459432602,
      0.252563267946243,
      0.191252380609512,
      0.193936198949814,
      0.172421976923943,
      0.211257666349411,
      0.0487877614796162,
      0.204107657074928,
      0.143835455179214,
      0.152416110038757,
      0.163391873240471,
      0.222905308008194,
      0.189368709921837,
      0.0975571945309639,
      0.166983038187027,
      0.224493861198425,
      0.13883538544178,
      0.187393501400948,
      0.169470340013504,
      0.13502162694931,
      0.0773270204663277,
      0.222475245594978,
      0.187279507517815,
      0.197567582130432,
      0.243336990475655,
      0.252815037965775,
      0.0515240952372551,
      0.240004688501358,
      0.181422218680382,
      0.0540626421570778,
      0.163847401738167,
      0.193511128425598,
      0.241947859525681,
      0.223005205392838,
      0.30149644613266,
      0.306174725294113,
      0.0437704212963581,
      0.0143202375620604,
      0.0114265410229564,
      0.132788270711899,
      0.238541752099991,
      0.154740899801254,
      0.192082554101944,
      0.181744888424873,
      0.175327107310295,
      0.27049708366394,
      0.169481113553047,
      0.212466448545456,
      0.212106645107269,
      0.145531699061394,
      0.247981563210487,
      0.169643685221672,
      0.208315283060074,
      0.229293331503868,
      0.154548615217209,
      0.25183829665184,
      0.0473865419626236,
      0.00130328652448952,
      0.124798744916916,
      0.176617130637169,
      0.228828370571136,
      0.18077589571476,
      0.200543493032455,
      0.241057932376862,
      0.189052805304527,
      0.262671500444412,
      0.206256985664368,
      0.28728461265564,
      0.3140469789505,
      0.480952441692352,
      0.306082487106323,
      0.231363505125046,
      0.158245578408241,
      0.125681594014168,
      0.23071251809597,
      0.297102332115173,
      0.154612153768539,
      0.249232620000839,
      0.198867440223694,
      0.167878448963165,
      0.214598968625069,
      0.191466316580772,
      0.148411601781845,
      0.159770339727402,
      0.137633919715881,
      0.192481160163879,
      0.166641488671303,
      0.142189726233482,
      0.173181906342506,
      0.125255137681961,
      0.252796530723572,
      0.273038625717163,
      0.628169417381287,
      0.246398404240608,
      0.233715489506721,
      0.183139115571976,
      0.146858856081963,
      0.257966816425323,
      0.169608309864998,
      0.201488241553307,
      0.290987282991409,
      0.207998216152191,
      0.274007946252823,
      0.241939291357994,
      0.248347535729408,
      0.167004883289337,
      0.190689206123352,
      0.311034858226776,
      0.23875780403614,
      0.352790862321854,
      0.382310897111893,
      0.431362479925156,
      0.334061324596405,
      0.473752468824387,
      0.334638178348541,
      0.325833588838577,
      0.204898744821548,
      0.277175456285477,
      0.184021666646004,
      0.248023465275764,
      0.227320149540901,
      0.249260470271111,
      0.18869723379612,
      0.167754292488098,
      0.188757315278053,
      0.221612930297852,
      0.160505995154381,
      0.149672567844391,
      0.202777102589607,
      0.164398983120918,
      0.135845765471458,
      0.155843287706375,
      0.188361391425133,
      0.162671193480492,
      0.229064002633095,
      0.130804419517517,
      0.190794661641121,
      0.321235209703445,
      0.13740436732769,
      0.0902584344148636,
      0.0849466323852539,
      0.0941639691591263,
      0.0646030157804489,
      0.0703486427664757,
      0.0494936294853687,
      0.054863665252924,
      0.0338160395622253,
      0.0291183665394783,
      0.0289809126406908,
      0.0170561652630568,
      0.0190460421144962,
      0.0159673448652029,
      0.0111047001555562,
      0.00688112759962678,
      0.00492153037339449,
      0.00260212039574981,
      0.00068221177207306,
      0.00014220479351934,
      0.0000172076888702577,
      0.0000102673793662689,
      0.0000102685116871726,
      0.0000102693884400651,
      0.00000964950686466182
    ],
    "analysis_bass_energy_curve": [
      0.000122733530588448,
      0.000829196244012564,
      0.000188151316251606,
      0.000201159258722328,
      0.00108615087810904,
      0.000821436173282564,
      0.000153147251694463,
      0.00164122378919274,
      0.000204475247301161,
      0.00024932759697549,
      0.00157206004951149,
      0.000147776401718147,
      0.000138922507176176,
      0.000250633340328932,
      0.000242370530031621,
      0.000793047714978456,
      0.000399892625864595,
      0.000357413024175912,
      0.000473105115815997,
      0.000279068859526888,
      0.000176052373717539,
      0.000623388274107128,
      0.000220423258724622,
      0.000141529744723812,
      0.000356842065230012,
      0.000205938893486746,
      0.000126189741422422,
      0.000685967970639467,
      0.000195597880519927,
      0.000413068279158324,
      0.000682159909047186,
      0.000258989428402856,
      0.000342970539350063,
      0.000262396002653986,
      0.0000635760006844066,
      0.000326911685988307,
      0.000305992638459429,
      0.00028690742328763,
      0.000684273312799633,
      0.00083610659930855,
      0.00021518167341128,
      0.000780942500568926,
      0.000606761663220823,
      0.000553245714399964,
      0.0486063919961452,
      0.0359197929501534,
      0.117267161607742,
      0.335218131542206,
      0.429478943347931,
      0.478445082902908,
      0.499139070510864,
      0.45870441198349,
      0.451271593570709,
      0.493370443582535,
      0.268118619918823,
      0.271052211523056,
      0.327309161424637,
      0.0293243173509836,
      0.223967745900154,
      0.339040994644165,
      0.173254683613777,
      0.318741738796234,
      0.188996165990829,
      0.306325882673264,
      0.398664683103561,
      0.119425587356091,
      0.176038801670074,
      0.292267471551895,
      0.079067625105381,
      0.230276539921761,
      0.293151676654816,
      0.242794901132584,
      0.235595121979713,
      0.15396811068058,
      0.189300924539566,
      0.397730320692062,
      0.332011640071869,
      0.258155226707458,
      0.238001301884651,
      0.29799222946167,
      0.207220017910004,
      0.45890012383461,
      0.181895643472672,
      0.343264073133469,
      0.288551092147827,
      0.0917038470506668,
      0.410077005624771,
      0.384569942951202,
      0.242982909083366,
      0.401154190301895,
      0.232675015926361,
      0.25058326125145,
      0.228971675038338,
      0.211760029196739,
      0.187839716672897,
      0.398073732852936,
      0.330545723438263,
      0.237669736146927,
      0.316912949085236,
      0.269255876541138,
      0.295430213212967,
      0.506697714328766,
      0.199610963463783,
      0.409844279289246,
      0.191017001867294,
      0.203968778252602,
      0.43839356303215,
      0.32048025727272,
      0.507870852947235,
      0.336608439683914,
      0.216925635933876,
      0.374822527170181,
      0.359544008970261,
      0.329857707023621,
      0.420455753803253,
      0.237411305308342,
      0.195375189185143,
      0.166436851024628,
      0.242186456918716,
      0.181495383381844,
      0.403977423906326,
      0.12906052172184,
      0.296819984912872,
      0.265935242176056,
      0.427142918109894,
      0.233128935098648,
      0.299881756305695,
      0.138083264231682,
      0.220402613282204,
      0.429522335529327,
      0.258457154035568,
      0.3213991522789,
      0.314298242330551,
      0.194454982876778,
      0.371172040700912,
      0.355238676071167,
      0.379683405160904,
      0.501312255859375,
      0.205920740962029,
      0.265928119421005,
      0.308465212583542,
      0.311936676502228,
      0.256471633911133,
      0.31969878077507,
      0.4293252825737,
      0.286830335855484,
      0.330974608659744,
      0.320636838674545,
      0.0779396072030067,
      0.350696861743927,
      0.44510680437088,
      0.0606925487518311,
      0.406215369701385,
      0.292539834976196,
      0.10508555918932,
      0.290888458490372,
      0.395408928394318,
      0.400864809751511,
      0.341848760843277,
      0.20453505218029,
      0.242226138710976,
      0.272772997617722,
      0.166214853525162,
      0.342759907245636,
      0.188930451869965,
      0.285941630601883,
      0.373163044452667,
      0.206576511263847,
      0.400863230228424,
      0.322747617959976,
      0.36493057012558,
      0.10957282781601,
      0.492053478956223,
      0.378486394882202,
      0.249769940972328,
      0.296357244253159,
      0.170679643750191,
      0.336114853620529,
      0.404616594314575,
      0.355196923017502,
      0.561459064483643,
      0.212471708655357,
      0.30016028881073,
      0.255433171987534,
      0.176977276802063,
      0.259723544120789,
      0.285016596317291,
      0.373815715312958,
      0.403671979904175,
      0.267989933490753,
      0.47329381108284,
      0.397548377513885,
      0.482713043689728,
      0.254352599382401,
      0.327613711357117,
      0.282822847366333,
      0.207111939787865,
      0.380682945251465,
      0.291828602552414,
      0.400979220867157,
      0.331779539585114,
      0.421599388122559,
      0.320898562669754,
      0.342698752880096,
      0.386411339044571,
      0.49696096777916,
      0.390373557806015,
      0.240664392709732,
      0.28492733836174,
      0.294111281633377,
      0.202562928199768,
      0.311226069927216,
      0.231816232204437,
      0.298089325428009,
      0.193636938929558,
      0.483523696660995,
      0.142218232154846,
      0.397909551858902,
      0.195283129811287,
      0.285625368356705,
      0.414627939462662,
      0.313725531101227,
      0.471427291631699,
      0.354095071554184,
      0.229009881615639,
      0.349158316850662,
      0.369771093130112,
      0.35618931055069,
      0.422571748495102,
      0.285586267709732,
      0.367201298475266,
      0.359088569879532,
      0.454021066427231,
      0.28958460688591,
      0.395001083612442,
      0.439518541097641,
      0.339181214570999,
      0.441452205181122,
      0.329285115003586,
      0.303536385297775,
      0.327851295471191,
      0.0914843156933784,
      0.252885222434998,
      0.271311163902283,
      0.151947632431984,
      0.0887455120682716,
      0.403016477823257,
      0.416876047849655,
      0.314526438713074,
      0.223867565393448,
      0.154976353049278,
      0.26576954126358,
      0.230058550834656,
      0.141420692205429,
      0.356573820114136,
      0.234117984771729,
      0.272080630064011,
      0.321800321340561,
      0.276577442884445,
      0.267812639474869,
      0.308540880680084,
      0.288017630577087,
      0.334426552057266,
      0.315625756978989,
      0.0535455383360386,
      0.259979248046875,
      0.367952138185501,
      0.201896771788597,
      0.190899699926376,
      0.316001683473587,
      0.308351814746857,
      0.415033370256424,
      0.412106931209564,
      0.383577913045883,
      0.352202296257019,
      0.38366436958313,
      0.301928132772446,
      0.339847564697266,
      0.214907109737396,
      0.186356276273727,
      0.166996896266937,
      0.107684850692749,
      0.150776952505112,
      0.372281700372696,
      0.390639513731003,
      0.209410920739174,
      0.318045854568481,
      0.135571897029877,
      0.305385619401932,
      0.36605179309845,
      0.307210594415665,
      0.487623333930969,
      0.29089567065239,
      0.217019557952881,
      0.361877739429474,
      0.402630418539047,
      0.351308256387711,
      0.344426184892654,
      0.194742470979691,
      0.218498319387436,
      0.209399417042732,
      0.163492202758789,
      0.314679443836212,
      0.375523865222931,
      0.104391179978848,
      0.290989637374878,
      0.3925921022892,
      0.343004405498505,
      0.276640743017197,
      0.259025663137436,
      0.115293346345425,
      0.38191032409668,
      0.456573039293289,
      0.440085917711258,
      0.191438257694244,
      0.339337110519409,
      0.283920466899872,
      0.435504287481308,
      0.434721559286118,
      0.25269815325737,
      0.283838838338852,
      0.157730013132095,
      0.198745101690292,
      0.206317231059074,
      0.207790598273277,
      0.246129557490349,
      0.22835049033165,
      0.295379489660263,
      0.34677529335022,
      0.322946280241013,
      0.471281915903091,
      0.509691834449768,
      0.374170511960983,
      0.351780891418457,
      0.26641508936882,
      0.39454111456871,
      0.269364327192307,
      0.292262405157089,
      0.427895039319992,
      0.00274693151004612,
      0.138861894607544,
      0.404372304677963,
      0.337784022092819,
      0.430728942155838,
      0.265564978122711,
      0.296435505151749,
      0.233103916049004,
      0.255700081586838,
      0.268749326467514,
      0.452086448669434,
      0.402654200792313,
      0.29984325170517,
      0.454159557819366,
      0.166888862848282,
      0.35846871137619,
      0.261281877756119,
      0.177943274378777,
      0.413084745407104,
      0.343677878379822,
      0.381243616342545,
      0.145079702138901,
      0.336662799119949,
      0.343970000743866,
      0.311875998973846,
      0.349956691265106,
      0.369062423706055,
      0.361411303281784,
      0.269058912992477,
      0.368000686168671,
      0.237329334020615,
      0.331627517938614,
      0.358715444803238,
      0.276495158672333,
      0.34404668211937,
      0.161244243383408,
      0.506554186344147,
      0.202515959739685,
      0.340505629777908,
      0.236280396580696,
      0.181819021701813,
      0.437676608562469,
      0.344291299581528,
      0.151846349239349,
      0.278715521097183,
      0.278297185897827,
      0.366335898637772,
      0.467199832201004,
      0.434447318315506,
      0.428594022989273,
      0.252708464860916,
      0.374735713005066,
      0.277381002902985,
      0.368555903434753,
      0.173539042472839,
      0.275307714939117,
      0.316199600696564,
      0.245102629065514,
      0.407281965017319,
      0.408612996339798,
      0.128306537866592,
      0.441657364368439,
      0.167090460658073,
      0.1062882989645,
      0.393480479717255,
      0.149683251976967,
      0.468064397573471,
      0.311820685863495,
      0.39554837346077,
      0.233945742249489,
      0.287937551736832,
      0.263231009244919,
      0.342445909976959,
      0.186123639345169,
      0.247770190238953,
      0.314038872718811,
      0.216105446219444,
      0.163598492741585,
      0.237055584788322,
      0.16775868833065,
      0.126848444342613,
      0.205439373850822,
      0.210049420595169,
      0.0913194045424461,
      0.115952968597412,
      0.0359295979142189,
      0.097834475338459,
      0.0972734838724136,
      0.0261306185275316,
      0.0106877591460943,
      0.00571536226198077,
      0.0129836928099394,
      0.00775118544697762,
      0.0137128196656704,
      0.0249482709914446,
      0.0167047996073961,
      0.0127416821196675,
      0.00393012072890997,
      0.00341421598568559,
      0.00171957002021372,
      0.000124434489407577,
      0.00000885620556800859,
      0.0000025235281100322,
      0.0000025603228550608,
      0.00000258052364188188,
      0.00000238921506934275
    ],
    "analysis_other_energy_curve": [
      0.0152838109061122,
      0.0340425595641136,
      0.0814406797289848,
      0.0751604810357094,
      0.00498900515958667,
      0.0874784588813782,
      0.0794740095734596,
      0.00394302885979414,
      0.0781880021095276,
      0.0262613035738468,
      0.003518080804497,
      0.0448077023029327,
      0.0252419970929623,
      0.00270739267580211,
      0.0960188508033752,
      0.0233762785792351,
      0.0042378013022244,
      0.0739009976387024,
      0.013043649494648,
      0.00945004262030125,
      0.139665603637695,
      0.11175699532032,
      0.109755173325539,
      0.169601052999496,
      0.0847941190004349,
      0.129424542188644,
      0.0820861533284187,
      0.0604353845119476,
      0.145975098013878,
      0.0740508958697319,
      0.0934526696801186,
      0.157651230692863,
      0.0490264855325222,
      0.0515332072973251,
      0.0890486165881157,
      0.0616150125861168,
      0.0286072008311749,
      0.119213737547398,
      0.0285762473940849,
      0.035956259816885,
      0.0890461951494217,
      0.113705240190029,
      0.127152770757675,
      0.212070614099503,
      0.147148847579956,
      0.105546668171883,
      0.0798111632466316,
      0.0836305841803551,
      0.131297916173935,
      0.170060068368912,
      0.266381055116653,
      0.269630938768387,
      0.422997027635574,
      0.492282688617706,
      0.422334223985672,
      0.352130472660065,
      0.314493298530579,
      0.28784054517746,
      0.199906185269356,
      0.170691430568695,
      0.167416617274284,
      0.14298902451992,
      0.161061644554138,
      0.144104287028313,
      0.0794947743415833,
      0.0768375992774963,
      0.0501971915364265,
      0.0139577267691493,
      0.107322983443737,
      0.0268330257385969,
      0.0561491474509239,
      0.306575864553452,
      0.304238617420197,
      0.354474633932114,
      0.587474167346954,
      0.28798907995224,
      0.245810195803642,
      0.137707382440567,
      0.107394620776176,
      0.172228395938873,
      0.243116125464439,
      0.277886390686035,
      0.269898742437363,
      0.216860562562943,
      0.165752649307251,
      0.167173936963081,
      0.245850309729576,
      0.144744694232941,
      0.23410527408123,
      0.145777344703674,
      0.226365253329277,
      0.286659270524979,
      0.293394267559052,
      0.303088754415512,
      0.325221180915833,
      0.279779881238937,
      0.284281879663467,
      0.31590747833252,
      0.297271341085434,
      0.252275943756104,
      0.389608681201935,
      0.204620689153671,
      0.426322728395462,
      0.161204904317856,
      0.157408192753792,
      0.213388800621033,
      0.189182758331299,
      0.238052099943161,
      0.185064420104027,
      0.176024809479713,
      0.34330478310585,
      0.330617815256119,
      0.273631185293198,
      0.371741950511932,
      0.272189319133759,
      0.269025504589081,
      0.304820865392685,
      0.388422757387161,
      0.389355689287186,
      0.291369408369064,
      0.307767689228058,
      0.246451362967491,
      0.250300228595734,
      0.47988697886467,
      0.367861330509186,
      0.39865380525589,
      0.302461177110672,
      0.251785784959793,
      0.426337152719498,
      0.318248361349106,
      0.318877428770065,
      0.267177253961563,
      0.111760675907135,
      0.351832300424576,
      0.3956518471241,
      0.319912403821945,
      0.257951527833939,
      0.389095097780228,
      0.349686592817307,
      0.353657007217407,
      0.32334965467453,
      0.446409106254578,
      0.250108629465103,
      0.237677365541458,
      0.323321729898453,
      0.348191440105438,
      0.493878185749054,
      0.719986796379089,
      0.501035213470459,
      0.59475165605545,
      0.446344584226608,
      0.790267050266266,
      0.494743585586548,
      0.440826803445816,
      0.431359261274338,
      0.568256974220276,
      0.37177762389183,
      0.225111469626427,
      0.0768273621797562,
      0.224802538752556,
      0.106720112264156,
      0.301588267087936,
      0.439386665821075,
      0.405628025531769,
      0.652443826198578,
      0.660280525684357,
      0.590692758560181,
      0.295496433973312,
      0.565244019031525,
      0.325641721487045,
      0.46598157286644,
      0.42917412519455,
      0.246305838227272,
      0.322702139616013,
      0.446647644042969,
      0.308795571327209,
      0.3739153444767,
      0.230634480714798,
      0.103678598999977,
      0.30719330906868,
      0.333250820636749,
      0.588355004787445,
      0.534627854824066,
      0.536052346229553,
      0.672482490539551,
      0.678986072540283,
      0.565133333206177,
      0.31135106086731,
      0.407563239336014,
      0.677088916301727,
      0.527609348297119,
      0.651780724525452,
      0.553830862045288,
      0.680649161338806,
      0.538054823875427,
      0.562594473361969,
      0.561166703701019,
      0.394388616085052,
      0.487778335809708,
      0.406338602304459,
      0.22287118434906,
      0.212410092353821,
      0.421134382486343,
      0.338038742542267,
      0.335169494152069,
      0.413250952959061,
      0.39478611946106,
      0.523446023464203,
      0.5211141705513,
      0.596005499362946,
      0.702739238739014,
      0.746566712856293,
      0.65409243106842,
      0.631642878055573,
      0.517507910728455,
      0.55342698097229,
      0.473379999399185,
      0.553240656852722,
      0.503480851650238,
      0.68559741973877,
      0.568420350551605,
      0.462183028459549,
      0.554125607013702,
      0.375552803277969,
      0.264085233211517,
      0.281811535358429,
      0.435107618570328,
      0.50422465801239,
      0.435755521059036,
      0.604762613773346,
      0.515379369258881,
      0.496973603963852,
      0.429290115833282,
      0.418609827756882,
      0.368128567934036,
      0.388580560684204,
      0.239276394248009,
      0.256690829992294,
      0.372832000255585,
      0.405303031206131,
      0.339363664388657,
      0.307175546884537,
      0.23139750957489,
      0.24448849260807,
      0.286228090524673,
      0.221613630652428,
      0.456724256277084,
      0.212324097752571,
      0.240330845117569,
      0.273264229297638,
      0.133431732654572,
      0.228784292936325,
      0.252236753702164,
      0.237268224358559,
      0.2039615213871,
      0.367109507322311,
      0.314195811748505,
      0.202112510800362,
      0.26845771074295,
      0.178202614188194,
      0.112273082137108,
      0.282929569482803,
      0.35813045501709,
      0.324622809886932,
      0.265970259904861,
      0.221170574426651,
      0.216818764805794,
      0.221148803830147,
      0.21798050403595,
      0.120494425296783,
      0.0923791155219078,
      0.251038908958435,
      0.309785515069962,
      0.319207012653351,
      0.364818543195724,
      0.333863884210587,
      0.354399114847183,
      0.309599965810776,
      0.383292615413666,
      0.369308918714523,
      0.454739570617676,
      0.416465759277344,
      0.348626255989075,
      0.201034665107727,
      0.134169727563858,
      0.385102391242981,
      0.202364295721054,
      0.212054461240768,
      0.438589543104172,
      0.340232849121094,
      0.314403533935547,
      0.168662324547768,
      0.201629385352135,
      0.331824362277985,
      0.310684978961945,
      0.255349844694138,
      0.176058873534203,
      0.204056963324547,
      0.193244099617004,
      0.182656288146973,
      0.265091270208359,
      0.220889031887054,
      0.194927111268044,
      0.176790967583656,
      0.194001868367195,
      0.384300470352173,
      0.303219765424728,
      0.255929917097092,
      0.356658488512039,
      0.270885646343231,
      0.296725183725357,
      0.169074892997742,
      0.184944897890091,
      0.174621254205704,
      0.182127863168716,
      0.179274827241898,
      0.22158682346344,
      0.199399963021278,
      0.223911434412003,
      0.0644985511898994,
      0.223319858312607,
      0.162241756916046,
      0.19939461350441,
      0.097939632833004,
      0.22048208117485,
      0.0956688746809959,
      0.176747053861618,
      0.144837707281113,
      0.206514820456505,
      0.0464588031172752,
      0.134164229035378,
      0.0395828373730183,
      0.209532156586647,
      0.0978080779314041,
      0.193263217806816,
      0.144327953457832,
      0.164579272270203,
      0.184302523732185,
      0.118319913744926,
      0.00492007471621037,
      0.0879234448075294,
      0.219231590628624,
      0.238809019327164,
      0.290995568037033,
      0.317316830158234,
      0.283172369003296,
      0.318757116794586,
      0.296550780534744,
      0.302953600883484,
      0.28436616063118,
      0.259626686573029,
      0.206098020076752,
      0.197420611977577,
      0.284022629261017,
      0.308012247085571,
      0.26281276345253,
      0.224359393119812,
      0.217344745993614,
      0.248527780175209,
      0.176764219999313,
      0.107018418610096,
      0.168761253356934,
      0.240095868706703,
      0.283394396305084,
      0.458081543445587,
      0.310763359069824,
      0.258661568164825,
      0.289303064346313,
      0.204798176884651,
      0.248523041605949,
      0.285728335380554,
      0.162288010120392,
      0.244409710168839,
      0.200450167059898,
      0.248848348855972,
      0.133320227265358,
      0.273448914289474,
      0.310311257839203,
      0.210023209452629,
      0.209684014320374,
      0.258246809244156,
      0.270473122596741,
      0.262811571359634,
      0.0700721517205238,
      0.280884355306625,
      0.279133230447769,
      0.22825300693512,
      0.234793543815613,
      0.345320880413055,
      0.310657531023026,
      0.191704496741295,
      0.339947372674942,
      0.257272511720657,
      0.169353604316711,
      0.323199421167374,
      0.188096731901169,
      0.281552642583847,
      0.357778966426849,
      0.331950426101685,
      0.376990288496017,
      0.349190205335617,
      0.255068153142929,
      0.320537656545639,
      0.236126363277435,
      0.212702840566635,
      0.105541050434113,
      0.00868781469762325,
      0.25069460272789,
      0.266842663288116,
      0.23895400762558,
      0.293004423379898,
      0.321090131998062,
      0.292107164859772,
      0.259392142295837,
      0.234104484319687,
      0.256293684244156,
      0.242687240242958,
      0.196552217006683,
      0.173852980136871,
      0.13962210714817,
      0.0459477081894875,
      0.0401243530213833,
      0.168310463428497,
      0.126097202301025,
      0.0864024385809898,
      0.0924467816948891,
      0.065518245100975,
      0.0630317181348801,
      0.0272916629910469,
      0.0114837680011988,
      0.0436218455433846,
      0.0373224653303623,
      0.0299886874854565,
      0.0190191995352507,
      0.0207193400710821,
      0.0100894877687097,
      0.00625411560758948,
      0.00380266434513032,
      0.000985156046226621,
      0.00012331637844909,
      0.0000319655155180953,
      0.000018340424503549,
      0.0000179858525370946,
      0.0000178362479346106,
      0.0000164042376127327
    ],
    "vocal_centroid_curve": [
      0.286371351530547,
      0.116915206594993,
      0.0859445817991683,
      0.140375317221199,
      0.0819612024028648,
      0.11386617365824,
      0.128189463106956,
      0.083434571642078,
      0.064046840093192,
      0.0878563330135454,
      0.121449585084066,
      0.322609138624977,
      0.191392476512778,
      0.0887553288089456,
      0.0784079601881798,
      0.0842635211628257,
      0.0720961651329113,
      0.106496407825011,
      0.1766268905923,
      0.0687647496471339,
      0.0869849710863064,
      0.0812228650210263,
      0.12101434665068,
      0.13464517741094,
      0.162698490378735,
      0.125713700999677,
      0.132783382556159,
      0.0863275513699457,
      0.11953278492996,
      0.10892148353997,
      0.088261173682083,
      0.0608213923217368,
      0.0847702027921612,
      0.141884118996716,
      0.284224197272645,
      0.288985053906359,
      0.154935484142348,
      0.0970979897072013,
      0.0596739063539208,
      0.136824514120956,
      0.112307657696883,
      0.146338574522961,
      0.190373123345636,
      0.0507120572190976,
      0.0417310414955062,
      0.0755582909206816,
      0.324709123478162,
      0.394049764712279,
      0.393465876889513,
      0.377130933308288,
      0.420904771001737,
      0.387551494350063,
      0.398982455619035,
      0.252528810944236,
      0.139438519070981,
      0.0942077393271833,
      0.118234778248313,
      0.10370647760449,
      0.107366337239357,
      0.07364242461667,
      0.103829355877902,
      0.0799046694020313,
      0.118663173351315,
      0.225682292039317,
      0.324087035119853,
      0.17072444376306,
      0.137984030165988,
      0.0469548581015777,
      0.034973087132062,
      0.0542645475042862,
      0.0494992425577039,
      0.213828681334769,
      0.163075521797676,
      0.157293328828834,
      0.142392537714945,
      0.103063780174748,
      0.160291504467592,
      0.153409163039202,
      0.0851163067057813,
      0.092110451221128,
      0.0963149135334791,
      0.150352875433121,
      0.0980946678506514,
      0.0851650040750255,
      0.0714233469261318,
      0.135418943365577,
      0.381219725028852,
      0.313031133479043,
      0.175494758321049,
      0.108923098322787,
      0.0873515895230312,
      0.156326906686315,
      0.132489714384036,
      0.167998747144299,
      0.0741312448573935,
      0.116452410828023,
      0.139219514842915,
      0.101278718411699,
      0.107787900973139,
      0.10076905751146,
      0.0844471687739133,
      0.138921611419501,
      0.105405307335877,
      0.0897837032983206,
      0.0841691741158687,
      0.111779838053083,
      0.0661000604240648,
      0.075010807205681,
      0.0763241178933732,
      0.0630326666128697,
      0.0848709037919524,
      0.149901547447659,
      0.113052641955542,
      0.0906470025347116,
      0.0787497247072779,
      0.0814280571273832,
      0.0854583991581618,
      0.148335201617365,
      0.109096196123694,
      0.100948316056496,
      0.0869249393732836,
      0.116552591487884,
      0.125321959309035,
      0.125098578154827,
      0.137141109897465,
      0.0780564311076227,
      0.0942446729100583,
      0.101983830588371,
      0.0842182824028504,
      0.0875765745822614,
      0.0866031983185758,
      0.0798582722387323,
      0.0732019069226652,
      0.0931035378493991,
      0.0725282609849201,
      0.152721992971528,
      0.115593521641199,
      0.107117993405387,
      0.120721217549463,
      0.147595808204629,
      0.0906747910411866,
      0.195744330329047,
      0.0973981254068805,
      0.0995107576241488,
      0.114469165308213,
      0.338269108926554,
      0.504621849886049,
      0.438396660807155,
      0.44962178533982,
      0.475902888523351,
      0.448484876920573,
      0.380756149043952,
      0.468416902945677,
      0.420507443611425,
      0.361843561463647,
      0.374682235434539,
      0.478416489759269,
      0.525479188451381,
      0.519633770354545,
      0.515408524864098,
      0.502306948766501,
      0.464177576274999,
      0.487152197135415,
      0.490025573407767,
      0.206102317820554,
      0.174983436470144,
      0.211878784805284,
      0.409202768587064,
      0.430275622941455,
      0.504412846643573,
      0.499670586663672,
      0.507765047266404,
      0.497788580233269,
      0.477810704681991,
      0.475627395639097,
      0.326695379852567,
      0.323572393321283,
      0.406800128556457,
      0.329555015275184,
      0.169307322463826,
      0.101369853305005,
      0.0686334882056481,
      0.0571311309666427,
      0.0663855406814714,
      0.0788019883351234,
      0.0695266235666385,
      0.0643106707549146,
      0.0558094682764135,
      0.0610005062196708,
      0.0576602118957423,
      0.0490361148209273,
      0.116336170770353,
      0.26850498741635,
      0.178848899278868,
      0.14591468510266,
      0.188722529123042,
      0.291402535449764,
      0.352252854272599,
      0.302330002647759,
      0.334115941076927,
      0.408855870818343,
      0.385190269347545,
      0.171724424244409,
      0.0879074690781723,
      0.0536616262672218,
      0.0476135677991615,
      0.063333198500334,
      0.0592141696731736,
      0.0638895829776781,
      0.062483732538912,
      0.0740569453436387,
      0.0675266642376724,
      0.0508928691533933,
      0.100745615123615,
      0.310617779188692,
      0.282897376694862,
      0.218158164373308,
      0.0937045476236862,
      0.162962987073157,
      0.253762419754911,
      0.233627816411375,
      0.362957838036541,
      0.395160811768028,
      0.377081625916609,
      0.283456776329417,
      0.165875556332336,
      0.0726088453162565,
      0.0569967415568192,
      0.0686633148840839,
      0.0856249490625301,
      0.0704949202060118,
      0.0909458108214383,
      0.0691975107232805,
      0.107305711202638,
      0.086527917416462,
      0.0881221902853276,
      0.104403160197988,
      0.108717239025013,
      0.131192722209524,
      0.12040529402832,
      0.131678458187914,
      0.109627663179246,
      0.0909867440962108,
      0.107389689268579,
      0.141369353230378,
      0.120415153542528,
      0.147047733398928,
      0.16739929581794,
      0.158513268238276,
      0.163723261836627,
      0.141857688965596,
      0.139825612420085,
      0.117055677006659,
      0.12843229739457,
      0.116813655495965,
      0.149897242022536,
      0.147425016223188,
      0.12133229842913,
      0.127346922102391,
      0.138483559483671,
      0.108229689192939,
      0.0921398108540413,
      0.103786947484408,
      0.112061668190804,
      0.0954254281567976,
      0.110099945856093,
      0.12454995276522,
      0.0948665194072268,
      0.10337949380611,
      0.142979266335071,
      0.125476700212652,
      0.172997650790645,
      0.137734642130841,
      0.142807493677386,
      0.145240349945763,
      0.10919699771134,
      0.126730975930506,
      0.101396777684691,
      0.105453451992015,
      0.0912971294152354,
      0.109033833900165,
      0.115933850395792,
      0.12886549692284,
      0.130715739017278,
      0.1451301217495,
      0.158837004358711,
      0.119757929801357,
      0.148653721065327,
      0.0899700657646931,
      0.0934418906808054,
      0.0849503284851542,
      0.0919460748141805,
      0.0718420962276022,
      0.106313118929883,
      0.121253349320293,
      0.0898373406769816,
      0.0919969924090889,
      0.0768524373556072,
      0.0842682551579505,
      0.101829442565158,
      0.103289537998345,
      0.0781582682499459,
      0.0892393439826869,
      0.0749730898796149,
      0.132072591543263,
      0.118179456165713,
      0.110291603204485,
      0.134664488968777,
      0.124117598412961,
      0.115926935774662,
      0.105836234619216,
      0.0983091928683237,
      0.0889727730204286,
      0.0737760990600431,
      0.0914070127110472,
      0.0670098390915094,
      0.163357167567708,
      0.0765684190160038,
      0.100780966467145,
      0.0803986428672088,
      0.0758474641853755,
      0.0904291889808934,
      0.091286017989858,
      0.0834322271440541,
      0.113100202153711,
      0.0841584277058091,
      0.0820941581242149,
      0.105998180533169,
      0.082742113246548,
      0.0594148529599094,
      0.0721904155899889,
      0.0720228465995505,
      0.0908734575406336,
      0.0825323943989357,
      0.08342836977474,
      0.0830729804767467,
      0.0724349204854414,
      0.0923365286072979,
      0.108710098325201,
      0.173745572654454,
      0.119425016613359,
      0.0619195071986161,
      0.0852987996931842,
      0.0679588045009819,
      0.0925690784572534,
      0.0900775525108386,
      0.0777259765177142,
      0.087013975913109,
      0.0925066846441827,
      0.110486584163092,
      0.153081756167347,
      0.12286230980577,
      0.151476142533043,
      0.124169149907981,
      0.109254801249625,
      0.12514842857453,
      0.10269612202139,
      0.11519869592332,
      0.0911089122733724,
      0.106717026275031,
      0.10782391860274,
      0.105532108783483,
      0.146699822389714,
      0.105697952221317,
      0.143502068577621,
      0.121249296268411,
      0.106343596599979,
      0.110804562348334,
      0.116396074461851,
      0.111224496291912,
      0.115499632662455,
      0.100620935549259,
      0.100123575771408,
      0.111278057863248,
      0.115859987526289,
      0.129599937384627,
      0.128546658111841,
      0.103357368877964,
      0.0967664391422332,
      0.0913318628094799,
      0.0844820198098218,
      0.0909507580804267,
      0.0794560948083711,
      0.08659259122531,
      0.0919206565032506,
      0.119085585800038,
      0.0933015030612496,
      0.105893786866564,
      0.0937647456423978,
      0.115695056827251,
      0.144662971028666,
      0.113240018919487,
      0.130564169302973,
      0.120440026187121,
      0.11413810476932,
      0.158110099857673,
      0.120639507758393,
      0.0811613087499596,
      0.119121399935889,
      0.147076721363557,
      0.106799406875052,
      0.136444846066781,
      0.0841229070542794,
      0.0855504003515158,
      0.0921224349540457,
      0.114396514384953,
      0.132046359967385,
      0.134755078573228,
      0.0915089205984259,
      0.0822921559541436,
      0.0796873679497429,
      0.0797249799965193,
      0.0743957479239337,
      0.0889727310136414,
      0.087611946370965,
      0.122172719837239,
      0.0683884757619091,
      0.0778935067074591,
      0.109826348867105,
      0.107455055649269,
      0.0819977235187803,
      0.0948737662250501,
      0.162786230234546,
      0.0821617249384273,
      0.0738668991979246,
      0.0561068762521466,
      0.0669234288837575,
      0.0528551044548232,
      0.0390256801723641,
      0.0454457272834679,
      0.0973469641446676,
      0.088775635856748,
      0.0938676100865812,
      0.0592866377931596,
      0.0555821860803191,
      0.044500954982818,
      0.0458015677029199,
      0.0536337449121892,
      0.115667589947079,
      0.3350678599027,
      0.499590703421174,
      0.450484985430992,
      0.448236359280643,
      0.44567732599045,
      0.455766904702573
    ],
    "drums_centroid_curve": [
      0.396321451551212,
      0.0683404560735103,
      0.179916156391219,
      0.2211210237153,
      0.0525436698081813,
      0.158109057612741,
      0.163668780465191,
      0.0395620037471626,
      0.219133682746431,
      0.189581782942053,
      0.0245564745999286,
      0.242415525120086,
      0.274691996886686,
      0.0652709742515194,
      0.248008958117496,
      0.141075112736124,
      0.0289642690289089,
      0.229572870984697,
      0.128469426891677,
      0.120787926846536,
      0.263385415761287,
      0.095685685023741,
      0.163930779488726,
      0.152961965829237,
      0.054768443258929,
      0.200052283323313,
      0.366036576065431,
      0.0630909885613673,
      0.217364589251076,
      0.178606557899841,
      0.0420124280586641,
      0.250763505402837,
      0.163400569683643,
      0.0239925318923068,
      0.274030296190757,
      0.228204129231053,
      0.080536923564169,
      0.263733092437492,
      0.0995976876119563,
      0.0532624613586257,
      0.205986134084281,
      0.0525489414563973,
      0.121033450574174,
      0.235112188698436,
      0.178917993335834,
      0.191479900416823,
      0.165456971151525,
      0.140414095541389,
      0.14829532590267,
      0.16134543487492,
      0.15589843375387,
      0.170828933732097,
      0.158080930371683,
      0.169270935570443,
      0.148155576199742,
      0.119654478526868,
      0.241671555679116,
      0.230770389192846,
      0.147759555585287,
      0.132648517348824,
      0.24817017357692,
      0.158946045917758,
      0.133600748340756,
      0.270313136991342,
      0.138148045379638,
      0.186627743747136,
      0.200793822197106,
      0.116287253174042,
      0.247029840817546,
      0.168781571935537,
      0.134610283243509,
      0.266776952393717,
      0.246922088837365,
      0.200265648144957,
      0.265653426648437,
      0.264287565278768,
      0.143840072696749,
      0.152159478779415,
      0.249288672388614,
      0.139189801490686,
      0.269681118440682,
      0.138942836445863,
      0.186251324385618,
      0.264953384588988,
      0.115970709180557,
      0.228607985414302,
      0.193354470266772,
      0.126998027767551,
      0.193057190415294,
      0.202102618762413,
      0.195502319114627,
      0.340649734919958,
      0.248641397788092,
      0.217633158871952,
      0.322477592288656,
      0.290802082608776,
      0.208594707972932,
      0.236398443851885,
      0.251291512918104,
      0.124004575952318,
      0.144195975006625,
      0.23368908531336,
      0.187353188645083,
      0.206096247535771,
      0.225388758547763,
      0.260303478140556,
      0.192234576889574,
      0.202206187172754,
      0.209796104374618,
      0.194698470470493,
      0.212803154816919,
      0.21195361403281,
      0.206331036160861,
      0.221857337497295,
      0.29434937087838,
      0.214538296675772,
      0.174577176966122,
      0.264217589948636,
      0.223521253533508,
      0.186303492946759,
      0.257001216689368,
      0.173205627234176,
      0.172507505981337,
      0.135809290825652,
      0.212065732331232,
      0.295951654142108,
      0.214522768997877,
      0.189393873506155,
      0.22460780261752,
      0.190954820163441,
      0.205526019346573,
      0.300951065942115,
      0.20618128406359,
      0.205175161451278,
      0.223447369063896,
      0.198902317198859,
      0.193702503390229,
      0.3085363812107,
      0.1662925180512,
      0.177538848759218,
      0.221679732293998,
      0.2381551507981,
      0.184419596747126,
      0.185636424907779,
      0.151286835636695,
      0.133186779371066,
      0.118299721698513,
      0.24386456239561,
      0.258436133946724,
      0.218021346739119,
      0.219742400667935,
      0.282102705938348,
      0.230998113970117,
      0.188190769696143,
      0.293570764345661,
      0.211359186639498,
      0.211052236668239,
      0.308029635036427,
      0.175537690613222,
      0.232746654681849,
      0.276567117499053,
      0.192150727777913,
      0.27869950264597,
      0.291905721526939,
      0.246689237810727,
      0.317570760647009,
      0.280612067909693,
      0.189331304825356,
      0.219945123188838,
      0.262540362114441,
      0.19856975041808,
      0.201113125085985,
      0.212799583649262,
      0.206943989137274,
      0.341156314048618,
      0.186230164955358,
      0.20774566365496,
      0.28354451486644,
      0.172589681079215,
      0.255541391858993,
      0.307219289654466,
      0.260417303060896,
      0.290003923343405,
      0.297330885441886,
      0.202968944942981,
      0.340788228431505,
      0.280748608843494,
      0.237775354332731,
      0.336993073196981,
      0.210126550081701,
      0.179304635611063,
      0.14419779221277,
      0.224499234903015,
      0.20544958217102,
      0.227041453464753,
      0.22593461012917,
      0.196159094932227,
      0.263906010373361,
      0.246757432533709,
      0.226856339915922,
      0.241342494244744,
      0.224439216632259,
      0.207632494903614,
      0.180055758886541,
      0.228070914291486,
      0.29648564490047,
      0.214250249348417,
      0.225602315944643,
      0.216200739961452,
      0.207533316953659,
      0.186616553789523,
      0.20841534861183,
      0.249493316445494,
      0.201167886104798,
      0.197248847429916,
      0.151755149697341,
      0.17508149478143,
      0.238905977464625,
      0.227943577820497,
      0.261011461076066,
      0.210416096430346,
      0.233799464272267,
      0.301902957356794,
      0.218849861529778,
      0.222840758382545,
      0.221465376870828,
      0.213289030086827,
      0.210347887065991,
      0.301229476977094,
      0.195771434644578,
      0.204782395763544,
      0.238699436708568,
      0.238811404191684,
      0.200225836645922,
      0.186455832625106,
      0.15063035704685,
      0.119957633061398,
      0.132666018370849,
      0.183844890634996,
      0.202064096946673,
      0.189188338234206,
      0.210520945408342,
      0.219326782089347,
      0.192976496773892,
      0.204770560521261,
      0.27779536620299,
      0.19852092128755,
      0.212271218426022,
      0.206220405931639,
      0.1958927633476,
      0.191232003698123,
      0.27018721742204,
      0.258302521354153,
      0.197078385795579,
      0.225536019423818,
      0.307229555897846,
      0.292861350761538,
      0.222276009166597,
      0.232294463184976,
      0.13549119091068,
      0.17948996209183,
      0.204962158083667,
      0.194164224015006,
      0.163958082472791,
      0.202211768714353,
      0.206367998361328,
      0.200334526491338,
      0.196414021185528,
      0.264858617937137,
      0.232997873938519,
      0.192419819127409,
      0.21862782898173,
      0.202239283412697,
      0.182212036488571,
      0.178014342482633,
      0.182490459647711,
      0.204069708363814,
      0.196533962787098,
      0.188103400552936,
      0.190683735917579,
      0.191991103473897,
      0.179051919376489,
      0.151403927515196,
      0.185874690769742,
      0.180479034094519,
      0.201278251770923,
      0.166709424180434,
      0.207602740635932,
      0.276057612480505,
      0.166664177452793,
      0.214481556920287,
      0.20010098449649,
      0.227714180900803,
      0.193918041619809,
      0.183001046901574,
      0.239110993343146,
      0.184021185174819,
      0.179361566590504,
      0.225560094457568,
      0.188513748566407,
      0.169207676253258,
      0.22183849366862,
      0.265656773362859,
      0.182710699256863,
      0.204466605772651,
      0.19138136341285,
      0.210826008811997,
      0.214281246847276,
      0.229469515227668,
      0.147401565372941,
      0.199124899075763,
      0.259429429537276,
      0.206275823492434,
      0.196563232621527,
      0.191605364808695,
      0.214557220478036,
      0.139265070814027,
      0.21074920408903,
      0.186293273628668,
      0.260355608861963,
      0.345078539480607,
      0.14178554948774,
      0.107752272428402,
      0.0794035494739792,
      0.104936143521202,
      0.123634031718479,
      0.172369583666095,
      0.211522070149282,
      0.234904886479494,
      0.268034416084215,
      0.23516138987743,
      0.278659371839881,
      0.253753143629129,
      0.281180601125241,
      0.292004210756079,
      0.290304664423133,
      0.306108821579346,
      0.258674021678173,
      0.199139354160061,
      0.293314781084551,
      0.278172095868256,
      0.278979800642697,
      0.2667726698965,
      0.286938214426947,
      0.287834469475251,
      0.278877308118926,
      0.282834109328035,
      0.274844959054105,
      0.282040552400509,
      0.256721775655575,
      0.159172828252206,
      0.129265495778919,
      0.191829541744185,
      0.183560608173734,
      0.216270244238983,
      0.237211690659186,
      0.171229762404188,
      0.170264217918339,
      0.222109229042244,
      0.166114253089135,
      0.19934290519191,
      0.221619930266434,
      0.18779436220354,
      0.164148963552487,
      0.205752791455352,
      0.189437233142201,
      0.202143245105449,
      0.225526755931489,
      0.181954079562985,
      0.194706640959569,
      0.211607484571969,
      0.220158085902505,
      0.20674754225547,
      0.200095152581702,
      0.0746571009942249,
      0.176541997415422,
      0.172494259110385,
      0.226835845763042,
      0.228527190028036,
      0.17706696559037,
      0.220025569146356,
      0.221742620702798,
      0.163459854349075,
      0.197620333587365,
      0.167033040736884,
      0.194956332058437,
      0.193790463556233,
      0.208058072583855,
      0.206298657820826,
      0.185576734362555,
      0.17356072282522,
      0.15622930930008,
      0.12235045479572,
      0.128724380809527,
      0.169537629968752,
      0.0764494476141216,
      0.138956281000234,
      0.163969071967366,
      0.186740629994298,
      0.177730334188311,
      0.193351823178868,
      0.159924210370713,
      0.188780947405607,
      0.157469732124465,
      0.16896321776577,
      0.200832700371242,
      0.185605160403893,
      0.193495581674194,
      0.17448413004037,
      0.184491885427266,
      0.188563269051002,
      0.195645086841107,
      0.230450794101176,
      0.167472471909321,
      0.178475117987862,
      0.187437673283173,
      0.147126282850305,
      0.225270873103372,
      0.156220698339162,
      0.124820130995065,
      0.143517648181311,
      0.172482727417807,
      0.203008642531715,
      0.175409440068638,
      0.175863756718229,
      0.185507106973226,
      0.185293059770637,
      0.208990854654781,
      0.180889327438172,
      0.200246018584328,
      0.169198246481324,
      0.179858049775635,
      0.173068929088767,
      0.199871073481355,
      0.189245606772002,
      0.192789937221069,
      0.175756141338922,
      0.181087418698958,
      0.229836067696616,
      0.389874768750953,
      0.544042375758413,
      0.503589225627044,
      0.508939822444035,
      0.511809365995567,
      0.53223117013162
    ],
    "bass_centroid_curve": [
      0.463962359206899,
      0.561136526725431,
      0.390477305493556,
      0.443098180857304,
      0.605503055933649,
      0.577896536176738,
      0.377885124340917,
      0.611770539313223,
      0.427527053490695,
      0.467773897918682,
      0.708198435538851,
      0.43642516106268,
      0.354722704862322,
      0.402796930136584,
      0.379683967499578,
      0.531238949079055,
      0.486694086495833,
      0.469569732358874,
      0.50531761050139,
      0.413120250310605,
      0.342817974104282,
      0.463269910087443,
      0.315277802601678,
      0.291418423288391,
      0.450531329460514,
      0.395693566037381,
      0.351976267062785,
      0.543561233319615,
      0.363829327024506,
      0.423762818980583,
      0.51655063948896,
      0.3865409187137,
      0.457053265669899,
      0.449995428550027,
      0.372021793752205,
      0.512528807148376,
      0.467329528263171,
      0.403380465887861,
      0.544143175406041,
      0.603980778996899,
      0.423266108470381,
      0.575165699480935,
      0.50817519871233,
      0.400892180948454,
      0.106536917550892,
      0.0251670202391693,
      0.0236102018590224,
      0.0146583188983821,
      0.0106378742227834,
      0.00952749447207493,
      0.0108304046107382,
      0.0158033058195018,
      0.0136779993757623,
      0.0105574502248455,
      0.0179712754678101,
      0.0162661881606097,
      0.00764654538561713,
      0.0942976692904793,
      0.0364774038844722,
      0.0167936763081282,
      0.0718894116107583,
      0.0179804747926859,
      0.054222903154958,
      0.0671783002661105,
      0.011640538672851,
      0.0723856895081725,
      0.0167468897516553,
      0.0131940669645766,
      0.0337874802099302,
      0.0528460593464221,
      0.0268613615841702,
      0.0256457189980326,
      0.020444739250872,
      0.0192032012080677,
      0.0148251866170876,
      0.0125643324999766,
      0.0156138839378072,
      0.0123139921430884,
      0.0121711074026622,
      0.0180745966725516,
      0.0836691096647518,
      0.0100565315942679,
      0.0718488068914915,
      0.0377237569094706,
      0.0323969540044649,
      0.0336654291156487,
      0.0253100684137127,
      0.00989046764270078,
      0.0291413788743524,
      0.00788880135132177,
      0.0139772998065448,
      0.0100169949513176,
      0.0168089767900273,
      0.019490920738702,
      0.0114873511689606,
      0.0124050094429978,
      0.0153475922458778,
      0.0224535700311154,
      0.0124393499957256,
      0.0107081937181857,
      0.0119937534455544,
      0.00913764402244886,
      0.0168563336384008,
      0.010739674077763,
      0.0145192966103495,
      0.0250873239271351,
      0.00969809169881819,
      0.0130316329455937,
      0.010891833440966,
      0.0126085537827555,
      0.011187010770009,
      0.0113948542172544,
      0.012971815979398,
      0.00905090155610478,
      0.00798391152910101,
      0.0120691155889849,
      0.0151039871961306,
      0.0142372219375005,
      0.0104438436853526,
      0.0173621869291765,
      0.0109345313666494,
      0.0142066449821544,
      0.00997392242719347,
      0.0137570738457112,
      0.00929147938768332,
      0.0151664825454196,
      0.0123705895288085,
      0.0151271780184002,
      0.0294742337755621,
      0.0104214719367983,
      0.0138836360518236,
      0.0116453907709316,
      0.0100222021730251,
      0.0108817485373259,
      0.0136245058343119,
      0.0120118895953825,
      0.0111164946982671,
      0.00855680759611198,
      0.0318286585458756,
      0.0111105999329584,
      0.012691779658867,
      0.00972165406184381,
      0.00952818346580452,
      0.00967728390107305,
      0.0105898396895339,
      0.0207386709104903,
      0.0169805331920272,
      0.0383697833964297,
      0.0599114936417097,
      0.0150927163745974,
      0.0102881481914933,
      0.073642166747174,
      0.0225298837574689,
      0.0221976762380525,
      0.0340221611084587,
      0.0164763597216753,
      0.0103222580335709,
      0.0165723103766993,
      0.0257343706162616,
      0.0214661518416387,
      0.0378404963276442,
      0.0242001614410488,
      0.0214871076653326,
      0.0220890487932879,
      0.00933142560836789,
      0.006867586924369,
      0.00962184344724732,
      0.0198421683873888,
      0.0279193908137453,
      0.0174866038775233,
      0.0156275744915571,
      0.0634222743575135,
      0.00953454963699005,
      0.0105730364768303,
      0.0366950460921369,
      0.0145275832613787,
      0.0240244001705096,
      0.0443304178808014,
      0.0126315681032092,
      0.01053815004897,
      0.0108287118649014,
      0.0130933236169941,
      0.0140958973214047,
      0.0129526899936266,
      0.0186616947346998,
      0.0139867044577426,
      0.0115438911384625,
      0.00693804462745251,
      0.00855902330503984,
      0.0183950988695186,
      0.0135902792605127,
      0.0148204027725721,
      0.0123892015855902,
      0.0258334955734294,
      0.0181957662203714,
      0.0149711874573902,
      0.0182116023616176,
      0.0109450330089097,
      0.00856661061973327,
      0.0109796742518514,
      0.0162726511896147,
      0.0120579096247689,
      0.0153339448436732,
      0.0131570038139436,
      0.00837782647052781,
      0.00864225842007355,
      0.0114226199181663,
      0.011588124193636,
      0.00914955520355944,
      0.00762270369565713,
      0.0117254176235057,
      0.0170483388660944,
      0.0118793311336962,
      0.020472696771506,
      0.0144634546682327,
      0.0115721998855144,
      0.0484678050773937,
      0.0139776631296886,
      0.0124071531721361,
      0.0120264011020751,
      0.00838878602501174,
      0.0112486182514669,
      0.0102047077331795,
      0.0130820270168843,
      0.0151282402613338,
      0.0208374057589302,
      0.0149062691463388,
      0.00939429481074371,
      0.00808024084635678,
      0.0130846915362066,
      0.00811572105969821,
      0.00717390012431424,
      0.00840701512022931,
      0.0101185692895459,
      0.0104395202528441,
      0.0139151072770473,
      0.0178661092392644,
      0.0125730295726472,
      0.0100512947631955,
      0.0152039275826029,
      0.0141401430753077,
      0.0178921213421063,
      0.0122245933822088,
      0.0170196018843977,
      0.0187152715954022,
      0.052160412325626,
      0.0123158465153302,
      0.0144787935863495,
      0.015159554209969,
      0.0204977423294401,
      0.0798990583063779,
      0.0168241052666179,
      0.0147212650203636,
      0.0140629097224086,
      0.0181311060494786,
      0.0113019538571091,
      0.0285769100190356,
      0.0122432568892415,
      0.0145872728962606,
      0.0357771997501731,
      0.0218371256403847,
      0.00940788500671839,
      0.0134368057278215,
      0.0112077690489115,
      0.0192540497610005,
      0.0158699374377121,
      0.0215939013408457,
      0.014862056622433,
      0.0209831311431744,
      0.0177317030778987,
      0.0230693773158577,
      0.0128036039895576,
      0.0165796321640441,
      0.0101271746195695,
      0.0135190046666009,
      0.0164043990695486,
      0.0146343711414081,
      0.016273916777944,
      0.0168032770476805,
      0.0223032285492234,
      0.0193272889318892,
      0.0259207692351818,
      0.0315749393410336,
      0.0168582836337463,
      0.0111579995799487,
      0.0158198764262873,
      0.00701546836286516,
      0.015696638024226,
      0.0180989426136548,
      0.0125904966110333,
      0.0185424127932875,
      0.0103671977868542,
      0.0140808313015015,
      0.0152319778491693,
      0.0137275777336168,
      0.00703690502762471,
      0.0069969107497338,
      0.00631558571469776,
      0.0117873785292121,
      0.0120610418024443,
      0.012803426430592,
      0.0138328339662157,
      0.0125125990735568,
      0.0108593762755604,
      0.0270500946023327,
      0.0143078183523978,
      0.0146742074434424,
      0.00836724018050044,
      0.010451316233267,
      0.0109518392424044,
      0.0197011546903761,
      0.0116830216410773,
      0.00956451684374085,
      0.0105541718542876,
      0.0178337931872929,
      0.0133816658541847,
      0.0118514318713508,
      0.0128198322757411,
      0.0062805820002702,
      0.00716969219088963,
      0.00723747092538543,
      0.0117583738396395,
      0.0140280046749414,
      0.00959592368054699,
      0.0113485195957414,
      0.014760246846723,
      0.0120240137823869,
      0.015453253035173,
      0.00911729629689042,
      0.00799841553030321,
      0.00871497743174839,
      0.00841833498790533,
      0.0100979528228693,
      0.0102600608025392,
      0.015167599500318,
      0.0110577645853832,
      0.0158706501041023,
      0.0145867024570515,
      0.00998398029544227,
      0.221760419627044,
      0.0811122267594845,
      0.00771269018110553,
      0.0152566147100136,
      0.0118256027677197,
      0.0119936236694138,
      0.0136396137147925,
      0.0119840476062292,
      0.0181873166594387,
      0.0151647581713329,
      0.0151448211979481,
      0.0142177663963069,
      0.0127338185575912,
      0.00971266357320457,
      0.0291823874873149,
      0.0109647482160907,
      0.0121280728707528,
      0.0205296703179301,
      0.0115487053117087,
      0.0149349981541802,
      0.0128040318117133,
      0.0284360069829484,
      0.0104601193548545,
      0.00841844906932672,
      0.0106278068038304,
      0.0114315614894223,
      0.0123192796434293,
      0.0106821085626735,
      0.0105955016065815,
      0.0120941124409817,
      0.0163407461351213,
      0.0119788188573219,
      0.0121418470505602,
      0.0157024995243672,
      0.00771884497892484,
      0.0299740599525044,
      0.0110487387969336,
      0.0199386325852077,
      0.0170860932903654,
      0.0103639379619785,
      0.027869768132145,
      0.0120694995053856,
      0.013729055883699,
      0.021017386934158,
      0.0155376876585999,
      0.0109061430373233,
      0.00957793723862397,
      0.0109021305253364,
      0.0103730865594512,
      0.0104561237853522,
      0.0140390617383922,
      0.0121668638704932,
      0.0132915616037337,
      0.0175354350216257,
      0.0297665194760687,
      0.015696146793405,
      0.0125541847391876,
      0.0178045750165417,
      0.0135129153447381,
      0.00978169208058996,
      0.0298024688564241,
      0.00948868625916826,
      0.0145663845216951,
      0.0246732475221093,
      0.0109847623497007,
      0.0167593953247608,
      0.00862061257684424,
      0.00911240281251334,
      0.0104292467013244,
      0.0236210668434398,
      0.0131633092660332,
      0.0240230530919388,
      0.0112189837025471,
      0.0209946026405195,
      0.0124734883627674,
      0.0160877138200948,
      0.0143930747191734,
      0.0112226697932579,
      0.00738184576108934,
      0.0108668497441728,
      0.0194242993133122,
      0.0122312067702945,
      0.00916861456821933,
      0.0221976064916439,
      0.0114146920364462,
      0.0156020382683753,
      0.0154562098566919,
      0.0143969385159235,
      0.0175736038970234,
      0.0218033648425995,
      0.039698143870213,
      0.0439820681298745,
      0.0494156302888413,
      0.0469836918860672,
      0.013888415501966,
      0.0132193382774002,
      0.0116139054808237,
      0.0193582577021633,
      0.0202898977652291,
      0.0236825079869447,
      0.132552779290296,
      0.248416810569097,
      0.466998022956478,
      0.482674122574194,
      0.483377575479499,
      0.497955028889659
    ],
    "other_centroid_curve": [
      0.340981356075536,
      0.158482784177956,
      0.159963611472347,
      0.0919647075970363,
      0.245044841182992,
      0.235746192668978,
      0.0857090923070362,
      0.321971429923749,
      0.175959703137003,
      0.13886804676207,
      0.347895060360305,
      0.210055349435145,
      0.141179061039879,
      0.269925434193467,
      0.116994963123044,
      0.197675193578192,
      0.284243816973513,
      0.0912021994292974,
      0.241567217401067,
      0.289190288006073,
      0.0602355685229998,
      0.0574138010565045,
      0.0648911075501916,
      0.065283787873731,
      0.0807761515071027,
      0.0802907901722716,
      0.0756712748756377,
      0.0819010125586632,
      0.0834457123782721,
      0.0684222064735054,
      0.0847580711371279,
      0.0789441351657389,
      0.0810149506383436,
      0.0851233447318818,
      0.0763344445879485,
      0.0820109808173562,
      0.125816540414501,
      0.0763615828726597,
      0.111321018565875,
      0.111336039052087,
      0.0649124212914163,
      0.0755086452840896,
      0.0748319928629774,
      0.086422847439148,
      0.0699303855206,
      0.0589376432978609,
      0.0736553161164403,
      0.0790480572673012,
      0.062993092772331,
      0.0644285986517807,
      0.0594966608538188,
      0.0658741063917963,
      0.0480399738736442,
      0.0874519810523291,
      0.089652947639087,
      0.072215226065624,
      0.0708342190355155,
      0.0443598589329345,
      0.0464768432422724,
      0.0489924517254833,
      0.0464856420834324,
      0.0538912045660396,
      0.0483794742545267,
      0.0508058796471841,
      0.0743854952731332,
      0.0788070476090134,
      0.0989080811588331,
      0.192917495621179,
      0.0974766908890756,
      0.167483198887673,
      0.124980485974216,
      0.0416943190365549,
      0.0439155259960593,
      0.0387683109306924,
      0.0353245955204767,
      0.0539868849041741,
      0.0749697627323375,
      0.0758638688990562,
      0.0782846646110175,
      0.0583383098633692,
      0.0495279786416397,
      0.0438709791089274,
      0.0403488426366426,
      0.0448587720960425,
      0.0546019718730936,
      0.0606220754885968,
      0.0533939636851584,
      0.0635946263241626,
      0.0466757812069992,
      0.0507502479406279,
      0.0429079963181747,
      0.0384717484664847,
      0.0434186454687508,
      0.0445936516012791,
      0.0446067242334293,
      0.0492743992254902,
      0.0497316992684628,
      0.0465047457260737,
      0.0526704419718179,
      0.0616407787069459,
      0.0609571992254887,
      0.0593391191755781,
      0.0800935328795022,
      0.0849439757215077,
      0.0765001978309373,
      0.0678938594552029,
      0.0669978798284234,
      0.0587897581198822,
      0.0625981626036021,
      0.0519440824553746,
      0.065992398707591,
      0.0639555465233992,
      0.0680620293344139,
      0.0614241941290667,
      0.0742028588437836,
      0.0717751119322474,
      0.049318564018365,
      0.0581027762471139,
      0.0628885682784879,
      0.059816139677174,
      0.0441760000603155,
      0.0506045822354662,
      0.0614778326114749,
      0.0568609534627967,
      0.0543499543263875,
      0.0852045747476896,
      0.0772898824129594,
      0.0678231827935805,
      0.0508791381591525,
      0.0637207191186747,
      0.0836646382416843,
      0.0605086128587392,
      0.0651682446543701,
      0.0776673356911983,
      0.0648182236465089,
      0.0614504396805196,
      0.0534999492480323,
      0.0706223494658135,
      0.0581360941983499,
      0.0658471847081841,
      0.0738802234500362,
      0.0559176541119492,
      0.0444248265225943,
      0.0556947171304772,
      0.0709664091270743,
      0.0855215228265116,
      0.118170598211307,
      0.117173511930384,
      0.0809618782351018,
      0.0799126818684829,
      0.0815179854717841,
      0.0896065878347986,
      0.0736574006769989,
      0.0802444621213631,
      0.0621354405566207,
      0.100727933953931,
      0.0922143863264025,
      0.0594749437670897,
      0.0951840572135882,
      0.0679514919406102,
      0.0874590960267582,
      0.0661261646706014,
      0.0594451265729825,
      0.0503447348058215,
      0.0838517691610144,
      0.0697505734630243,
      0.0619126832238158,
      0.0653741845665884,
      0.0790799533435597,
      0.0562030501842695,
      0.0861773497383984,
      0.053722455163801,
      0.056062348363403,
      0.0630657826217389,
      0.0472297859289634,
      0.0612548445882793,
      0.0554323670090103,
      0.0564249356584777,
      0.0866302475433539,
      0.0561604314471799,
      0.0527529935235881,
      0.0876305039262711,
      0.0832198144830139,
      0.066857688551645,
      0.157575640790817,
      0.117303549204357,
      0.0837933886748324,
      0.0492826712467409,
      0.0955286433837606,
      0.132457209018826,
      0.102341602181148,
      0.100115031868186,
      0.107683856448698,
      0.0986951346787205,
      0.0746688307945434,
      0.0912893835017539,
      0.0823896248210899,
      0.0575154634046945,
      0.0597795782770495,
      0.0664547779866953,
      0.0642236751204651,
      0.0562802175078927,
      0.0687643345832355,
      0.0693997507675232,
      0.0605883208016265,
      0.0782528116176184,
      0.0736562118616147,
      0.0730365523009698,
      0.0758582390433077,
      0.115145168418465,
      0.156403455338069,
      0.186496362619954,
      0.119855520440571,
      0.155828083873146,
      0.0837582917682141,
      0.12420733192851,
      0.0667622865342261,
      0.106745762276505,
      0.090237132525941,
      0.0904432943610617,
      0.0901382012187499,
      0.0760081790251691,
      0.0538229920390873,
      0.0437286525409972,
      0.0549848680669995,
      0.0532944561469647,
      0.0517817185217471,
      0.0921909031319476,
      0.0766246826377527,
      0.0754227572263348,
      0.0594759881008126,
      0.0522083161541471,
      0.0608629566497821,
      0.0674825970657407,
      0.0600257106030948,
      0.0543255740309765,
      0.0669335903202304,
      0.0659345624398854,
      0.0891291940441299,
      0.0813152684434144,
      0.0615737737696306,
      0.0499853785874787,
      0.0404235358433882,
      0.04121813489032,
      0.0435061198788822,
      0.0460328133868534,
      0.0509531305430699,
      0.0625618844463162,
      0.0634842860405838,
      0.0541244926767275,
      0.0709114764376756,
      0.0547872348432564,
      0.0439701237972894,
      0.044743406369501,
      0.0518212120039312,
      0.0463328195551287,
      0.0512246856046426,
      0.0616320310609859,
      0.052076630968534,
      0.0707415541032253,
      0.0840294932550304,
      0.0532723837378363,
      0.0536601875876829,
      0.0499152874234671,
      0.0540722626197878,
      0.0518254509275936,
      0.0512527464858914,
      0.048583749645569,
      0.0492682302965693,
      0.0705214451936368,
      0.0957280105979858,
      0.0506665170891941,
      0.0501006931294972,
      0.0437255661031642,
      0.0381560539099924,
      0.0391924632379959,
      0.0439848055240393,
      0.0491273825132608,
      0.0458479411670304,
      0.048899049267864,
      0.041987313039911,
      0.0498198884641632,
      0.064818225652494,
      0.0826014997403466,
      0.0893964222060559,
      0.0763129403494458,
      0.0682703162569924,
      0.0678795034810037,
      0.0594642903445764,
      0.0690709893598082,
      0.0633444619956066,
      0.0703383718811191,
      0.0758515527695741,
      0.0652005613652032,
      0.0677595777910578,
      0.0587902493667788,
      0.0665297278472188,
      0.0699799801208271,
      0.0712700912308174,
      0.0664014996363595,
      0.0699552758514834,
      0.0681223795114107,
      0.0668410443945658,
      0.0628578334190069,
      0.0655988001812472,
      0.0569690491416956,
      0.0591897649444406,
      0.0647499299887353,
      0.0791438171068654,
      0.0600673347580349,
      0.0634974776780771,
      0.0715196913704356,
      0.0721776933105932,
      0.0679174289739718,
      0.0705757953098774,
      0.0903856044617992,
      0.0760806638475242,
      0.0846941580750633,
      0.0522199512433478,
      0.0808404690091561,
      0.0595399382566082,
      0.0597559747574343,
      0.0636121934268147,
      0.0794519426920417,
      0.0578224486382757,
      0.08900179217913,
      0.084976970866772,
      0.0736866893154304,
      0.0686029652673253,
      0.103180051734588,
      0.0692430967250138,
      0.121854853597742,
      0.0829419596972719,
      0.0973930261926125,
      0.0972057567133248,
      0.095742883171135,
      0.0820860506965641,
      0.0719113104863861,
      0.106955364189859,
      0.28528940750713,
      0.167165395980714,
      0.0494209298893935,
      0.0553365409912456,
      0.0531925114432703,
      0.048169764957948,
      0.0550054568338333,
      0.0577735727349762,
      0.0597061371576716,
      0.0549863229083074,
      0.0636874631097013,
      0.0780086300968612,
      0.0787168406476784,
      0.0592142108675137,
      0.0680663640261858,
      0.0738940338383979,
      0.0630761467273724,
      0.0652088204648039,
      0.0846643359275953,
      0.0949424381020456,
      0.0835759827790231,
      0.108845040845271,
      0.108286367769439,
      0.0738641367741808,
      0.0667458662009782,
      0.065167446035595,
      0.0683479417093073,
      0.0688929069324152,
      0.0630550125685441,
      0.0724727900165288,
      0.0746410697964558,
      0.0721984156331281,
      0.0747946053359142,
      0.0692185152673063,
      0.0706769447203397,
      0.068831884302119,
      0.0822621542105315,
      0.0901671098306532,
      0.0872679763845188,
      0.0798594656565752,
      0.0795520540427883,
      0.0736208159517342,
      0.0900402654813097,
      0.0782592310464687,
      0.145362542481966,
      0.109442190903889,
      0.0807787704593853,
      0.07922890117779,
      0.0769150485896211,
      0.0737993290391878,
      0.0789672811549256,
      0.0862266071916314,
      0.0842324483369159,
      0.0796989832240335,
      0.0762786243758652,
      0.0862837545082714,
      0.0837621122665478,
      0.11118342701038,
      0.135279953022425,
      0.201737106370686,
      0.186505928391396,
      0.185803612680636,
      0.119779244941423,
      0.104609101074382,
      0.104201084259942,
      0.0917147231955403,
      0.109094759194723,
      0.226868185010959,
      0.159268828736125,
      0.201417825014241,
      0.162968008751097,
      0.161084080157481,
      0.146476803557329,
      0.143021160208105,
      0.149551055771833,
      0.151813598282145,
      0.178149395352773,
      0.14910960574862,
      0.10840344281032,
      0.0978991838283644,
      0.102412904183318,
      0.119476325068825,
      0.136302880838224,
      0.202832008661188,
      0.191862856496143,
      0.122399551270333,
      0.116108446626241,
      0.114095953776978,
      0.0931157770520893,
      0.0868237046909222,
      0.126974559881441,
      0.191131676187184,
      0.188075909795721,
      0.205113847068586,
      0.0859400785766076,
      0.126078917450524,
      0.0850062878077593,
      0.11912958376524,
      0.141551455952273,
      0.210192882721281,
      0.369323472835357,
      0.413908043244125,
      0.442699199218855,
      0.445615586211335,
      0.446659137555328,
      0.437991486663559
    ],
    "vocal_pitch_contour_hz": [
      807.255336329001,
      239.658333218571,
      238.238651560081,
      187.837152816783,
      279.59419876233,
      254.973010231913,
      252.458648811938,
      290.45445565534,
      263.834658445103,
      234.604668956748,
      208.154415281898,
      147.81895390269,
      43.8414009089339,
      273.465530550263,
      319.454894519065,
      231.606191471708,
      263.619877945233,
      305.27811955516,
      192.247853787662,
      290.735457702931,
      272.442214791099,
      301.693238325833,
      334.528404522935,
      252.483852059962,
      212.223969280096,
      235.41382348453,
      144.927035421903,
      272.972485223772,
      258.838596910094,
      255.290114980956,
      288.526974327901,
      253.477608803449,
      235.423818101483,
      208.456330130546,
      75.6306091711526,
      0,
      187.70819536446,
      315.061850030087,
      221.597577996117,
      174.877989620912,
      216.407582152885,
      119.140517409236,
      108.24243718104,
      196.366374011862,
      198.886238273482,
      169.487361395147,
      683.096511174925,
      1476.46901465233,
      1676.77952107319,
      1259.34121837993,
      1867.29904794265,
      1848.44085881576,
      1693.59681092473,
      516.850383787147,
      276.849643654935,
      366.309047258432,
      307.308658131404,
      396.48768731142,
      386.791490361997,
      328.801124486071,
      271.194477210903,
      351.165344097342,
      339.50375710864,
      400.57853321283,
      632.500384087484,
      254.189900632069,
      241.578797540966,
      248.231151249836,
      257.239779280805,
      272.751806486684,
      337.894380785303,
      158.503530154047,
      298.482661413247,
      306.272404128914,
      376.918896774613,
      348.805056633142,
      256.865835881449,
      349.077424503515,
      353.969485888604,
      320.659558905596,
      406.650495553065,
      421.016244253782,
      279.827822217778,
      277.403953134685,
      332.324407075998,
      357.336567735288,
      929.516789841681,
      347.404474035841,
      116.753602517235,
      307.885508517745,
      306.431666834227,
      197.932966334883,
      317.159619506929,
      317.641928630778,
      289.505580640407,
      353.725138339342,
      306.360455069545,
      372.891213653493,
      371.844992474972,
      370.430096396197,
      279.947579330928,
      241.499047357987,
      257.585392018735,
      273.800639597594,
      259.852789176962,
      238.875491089457,
      277.147359423157,
      276.686070467471,
      233.357763185678,
      228.019272117482,
      197.401252098585,
      40.5444708718422,
      229.764693571169,
      302.652301704438,
      207.89424747634,
      264.544510872723,
      278.981178473231,
      292.928552708851,
      275.515804219818,
      275.085011185884,
      291.651432669821,
      363.32783688254,
      297.872699391755,
      258.392105636073,
      199.770891524419,
      196.498491427688,
      276.84450774761,
      257.148345372902,
      248.267846450676,
      287.613996542027,
      274.8779956664,
      229.453958038306,
      223.859856066404,
      192.119972952803,
      318.999751359283,
      295.98443806816,
      330.322384645106,
      322.922668068437,
      340.569671501292,
      326.144951220833,
      306.498412177788,
      216.559240964718,
      325.709412262806,
      247.941175739013,
      238.342174241086,
      903.790970562976,
      1997.57572570609,
      1172.49009987097,
      1780.44792943369,
      1997.57572570609,
      1433.04345539785,
      593.925546139981,
      1519.89457390681,
      1650.17125167025,
      0,
      411.53676538937,
      1807.63304479512,
      1823.87348868817,
      1997.57572570609,
      1997.57572570609,
      1997.57572570609,
      1693.59681092473,
      1997.57572570609,
      1597.31659785232,
      289.51422287031,
      0,
      0,
      1563.32013316129,
      1433.04345539785,
      1823.87348868817,
      1997.57572570609,
      1737.02237017921,
      1693.59681092473,
      1978.7175365792,
      1433.04345539785,
      521.106711053762,
      173.702237017921,
      1129.06454061649,
      975.864917335409,
      0,
      0,
      444.604220665115,
      354.729535022605,
      313.12240543519,
      85.0037516478326,
      77.9352216634806,
      59.9364177864767,
      41.9412222689452,
      68.6803757857976,
      27.2557110917945,
      217.820910180708,
      362.889037202856,
      249.981627263416,
      0,
      297.369587899507,
      44.3522894715151,
      0,
      1174.50259351576,
      0,
      781.660066580644,
      1759.5422101182,
      1085.638981362,
      15.8429232921861,
      61.0456594247545,
      115.411859412617,
      125.932663175121,
      70.5566588288846,
      83.0886309373626,
      83.1812645238102,
      66.2709329252234,
      35.4112383644608,
      48.7944904908418,
      25.0867635272331,
      388.535059140093,
      380.178577412208,
      912.942991166483,
      0,
      0,
      0,
      0,
      246.8993715289,
      1163.82074054727,
      1867.29904794265,
      1172.49009987097,
      579.10886010422,
      21.4648193412069,
      307.544628201136,
      180.362187579272,
      331.701838513787,
      63.287784671271,
      92.6490217574947,
      169.467682914842,
      70.2237418988517,
      15.2447389309156,
      39.5601524197738,
      73.6812811660399,
      258.395201566958,
      330.383273432129,
      420.832760009803,
      420.622350301754,
      402.257496051555,
      342.380658893222,
      295.378908433793,
      345.700018367282,
      338.466537843699,
      298.107118051609,
      186.725230126741,
      380.033577253824,
      354.591995269739,
      391.082002467859,
      413.990981038739,
      348.232260271638,
      272.6172640917,
      368.303655839987,
      372.3462022122,
      379.359224539332,
      339.549965172891,
      270.807064005388,
      254.045860784233,
      193.397459109646,
      306.634218186567,
      397.448946076453,
      410.021030335838,
      417.355275672717,
      316.814280911878,
      248.088822791215,
      324.501741284363,
      348.233996108092,
      225.49769577635,
      239.556041829578,
      404.418388563056,
      277.958375082995,
      293.625470822324,
      265.708496552661,
      265.775895464424,
      378.401902235896,
      333.514554095192,
      257.956894982142,
      327.560356626378,
      364.206393346148,
      371.077053453439,
      332.210216328857,
      400.638915372209,
      367.798914946247,
      342.454311698106,
      148.442601057378,
      374.426049410733,
      344.935354265156,
      304.425132183958,
      293.28835530155,
      268.7539467835,
      235.503696818822,
      212.602885984849,
      116.911846896736,
      84.9280562938605,
      252.484046561541,
      332.571737506863,
      165.450826065959,
      192.359722763838,
      239.419978559465,
      50.215123680591,
      166.004128275433,
      260.911895267518,
      211.954904132956,
      275.139004610848,
      283.710469049741,
      256.577721601682,
      194.670639517817,
      182.650258190192,
      253.026991187227,
      242.815939487856,
      260.62893144792,
      297.579102344902,
      265.239872226342,
      239.567742833369,
      214.590484749275,
      47.36782633532,
      35.6490272525111,
      109.525032049987,
      97.4146312027295,
      33.9721850778321,
      39.2109889807734,
      82.7035412576128,
      41.7579882226864,
      191.777162469707,
      135.153609014708,
      255.133043636997,
      362.650763277013,
      337.249346427211,
      140.368650866947,
      84.8694539268474,
      38.2442876308488,
      64.4539790269223,
      76.7254791516908,
      40.0120661220779,
      55.1317081123609,
      333.20717603626,
      251.148047570578,
      160.321046120877,
      329.278928334237,
      298.301391432391,
      263.051309221323,
      304.680797670172,
      139.458363979761,
      192.436105234859,
      188.61039315244,
      123.648599445343,
      297.911347987612,
      200.360484357647,
      420.546727591602,
      505.610539003797,
      441.046899269727,
      485.540850942079,
      415.798988188911,
      454.960913873079,
      423.244855922095,
      340.592099198142,
      371.017540378537,
      269.015171041713,
      335.972341966213,
      398.292585669772,
      400.469475562377,
      376.477560608814,
      380.578737278795,
      406.102534942258,
      408.729324483236,
      364.307325763333,
      219.363055047304,
      143.324924433915,
      343.11285125984,
      355.206445910763,
      353.23798672202,
      302.650889045352,
      389.586498117572,
      336.372155751643,
      243.917133474897,
      149.116342632686,
      195.309341281674,
      310.486021977454,
      318.895453562838,
      293.489242117107,
      296.136259113361,
      237.433822201188,
      235.672912329395,
      245.297655742023,
      255.114185613481,
      336.318894578612,
      467.759373665499,
      274.931923553222,
      431.743644897577,
      385.906739350612,
      389.346018560616,
      442.592463637656,
      434.197937735705,
      434.452156661359,
      493.083472313874,
      353.437047071678,
      357.283500188926,
      413.801734449106,
      96.204379155805,
      266.148924315534,
      296.695138339222,
      241.39779579579,
      440.706953141495,
      368.854762222601,
      352.944384282414,
      338.688026218968,
      288.686799827146,
      319.689934009362,
      328.998468923279,
      328.052902702397,
      326.93499253146,
      267.49226552125,
      356.1842951157,
      269.951139773217,
      245.427796100196,
      148.709104948691,
      380.965156310549,
      362.872369444996,
      389.373134528538,
      351.435475371772,
      178.34533176453,
      204.294956091876,
      227.022623418149,
      318.345964493444,
      258.098910638105,
      174.745575652949,
      211.197321565501,
      158.122117097562,
      137.694610068286,
      318.051023437233,
      379.796211923588,
      362.44247599575,
      241.164472422539,
      144.785422366694,
      70.7740604145019,
      70.8668138197246,
      112.005212167572,
      386.961094075179,
      778.940197121525,
      1997.57572570609,
      1997.57572570609,
      1997.57572570609,
      1997.57572570609,
      1997.57572570609
    ],
    "vocal_pitch_contour_midi": [
      51.7991938232261,
      50.0175564407611,
      54.7188713537579,
      43.0225914673911,
      61.0051406750762,
      59.5181841535672,
      59.3638363275041,
      60.7792255184414,
      60.0551406752251,
      57.1792255190373,
      56.0334015455346,
      39.2292850070491,
      10.3203647299256,
      58.7467886229764,
      61.4250494921407,
      50.4608629017026,
      60.0877493708626,
      62.5812276313494,
      40.4491938238973,
      61.7681841532048,
      54.8344323447778,
      56.1844323446221,
      64.2181841528541,
      56.5317430318759,
      44.5117219019406,
      52.6648671277114,
      33.6955331983206,
      60.6181841533953,
      59.7877493709107,
      59.5507928492118,
      60.6770516054116,
      59.3225319797055,
      58.1268798059945,
      56.0594885020507,
      19.7537729382786,
      0,
      40.1752807804612,
      63.1703580660421,
      56.9377493714706,
      47.3715606676515,
      54.8663538410516,
      34.9904981727916,
      27.4418725726968,
      55.0225319805379,
      55.2464450239655,
      47.7366062590927,
      52.538496057619,
      70.3593761871851,
      83.8277388037539,
      60.0124091008343,
      88.9839169426164,
      88.8100038991422,
      80.7063432735358,
      40.0739658673935,
      53.0282542056757,
      65.7747058917898,
      50.2724196665189,
      67.183401543796,
      66.7225319786344,
      63.9486189354948,
      55.758173588243,
      65.0768798049151,
      64.4920971962942,
      45.9169287275677,
      38.9878683454656,
      50.858860788463,
      50.1479912233479,
      59.0703580666864,
      59.6855754578838,
      60.6507928490347,
      64.4094885006528,
      29.6094356765488,
      54.7824302316974,
      55.5846041445705,
      66.3007928482451,
      64.920358065809,
      50.9979912232271,
      64.9681841527555,
      59.9059996746661,
      53.0090325881046,
      67.6268798046163,
      68.2225319784664,
      54.1498215360731,
      53.0499933361084,
      64.1312276311229,
      65.3703580657493,
      59.1314589182003,
      16.5551473381612,
      27.2029139377748,
      62.7616624139274,
      62.69644502263,
      43.6138958151283,
      60.1817430313456,
      58.1581735879237,
      61.6029667619398,
      65.1029667614464,
      55.5911258836999,
      66.1334015439148,
      66.0790537178349,
      65.9747058917651,
      61.1029667620055,
      52.0150389276852,
      54.8190431536214,
      60.6399232838308,
      59.7986189361353,
      56.6033103624455,
      60.9312276315977,
      59.0033103620558,
      57.9768798060221,
      57.5334015452459,
      53.4533103630565,
      10.9484537995547,
      51.3780824060332,
      61.4553124748676,
      45.2072022758822,
      60.1268798056417,
      61.0942711098248,
      56.9733909793741,
      60.8834015446403,
      54.9735627795418,
      57.6710452663812,
      65.6507928483243,
      62.1355754575054,
      55.9406104840032,
      42.8358067455367,
      43.5791132064302,
      60.8899232837821,
      59.6703580665837,
      59.0877493710286,
      61.5681841532376,
      60.7855754577082,
      57.6855754582515,
      57.2551406757271,
      51.3384365717822,
      58.9601757010029,
      57.1516518489128,
      64.0334015441785,
      63.6312276311907,
      59.2646953269187,
      61.7207016660212,
      62.6638363269875,
      44.7704175540748,
      63.7899232833416,
      56.2773952058244,
      54.7232191798445,
      52.2388396577336,
      95.1920971944268,
      55.873622266294,
      84.8451301080761,
      95.1920971944268,
      68.2899827699149,
      52.5946741967604,
      72.4287696044552,
      78.6369498562657,
      0,
      53.4137240140763,
      93.3094884988224,
      86.9145235253463,
      95.1920971944268,
      95.1920971944268,
      95.1920971944268,
      80.7063432735358,
      95.1920971944268,
      76.4805999172584,
      41.6605787887158,
      0,
      0,
      74.4981630217254,
      68.2899827699149,
      86.9145235253463,
      95.1920971944268,
      82.775736690806,
      80.7063432735358,
      95.0181841509527,
      68.2899827699149,
      24.8327210072418,
      8.2775736690806,
      53.8042288490239,
      47.3873529450444,
      0,
      0,
      68.0313994306005,
      54.398163022743,
      53.3697303534151,
      34.3762520975623,
      37.579569124714,
      28.8660697327043,
      21.582489724176,
      34.1170410467165,
      13.1235099575519,
      37.6911853716674,
      62.4643517267049,
      38.9520549367574,
      0,
      48.7508523361788,
      7.35783665172966,
      0,
      55.8910135706415,
      0,
      37.2490815108627,
      86.3014800471003,
      51.7348354317537,
      5.42088013035565,
      27.2144112190806,
      43.7752212959643,
      42.4300845216281,
      27.5189308447638,
      40.1420972032139,
      40.1616624205947,
      32.6282542116553,
      18.2440464890292,
      23.5671005323182,
      11.1218514440011,
      63.5643517265848,
      36.2440464847485,
      43.4659574148469,
      0,
      0,
      0,
      0,
      35.4982225108376,
      65.6985066221789,
      88.9839169426164,
      55.873622266294,
      30.3735099547201,
      3.08661292154734,
      45.768759040651,
      27.3142989026646,
      51.2485066229412,
      30.5570304806988,
      35.5416412877908,
      47.1779106072599,
      32.4459891150391,
      7.62236684424125,
      19.161437792861,
      28.8863221482895,
      51.080599918868,
      59.8753930921461,
      63.1797409179034,
      61.8581735875567,
      67.4399232828974,
      64.6268798049737,
      60.0685277532055,
      64.796445022343,
      64.4442711093432,
      57.1429561967569,
      38.1256243805164,
      64.3011364483142,
      61.0080017876628,
      66.9464450220833,
      67.9399232828432,
      61.6969604224585,
      60.6138363273063,
      55.3914694836369,
      62.8556560744899,
      66.3899232830202,
      64.4573145876081,
      53.7585171882894,
      50.8175564406476,
      38.4821461195991,
      55.5976476228304,
      63.7839169439634,
      64.1078299874221,
      68.0812276306541,
      59.9121778140206,
      43.3252807800389,
      61.6880929703667,
      64.8747058919055,
      52.0300845191192,
      50.6869498582278,
      67.5290537176706,
      50.9438151970565,
      58.0297409184693,
      54.4213888665814,
      59.2161820404335,
      66.3268798047688,
      64.1942711093753,
      56.8513082492189,
      58.6559996748168,
      65.7116624135321,
      66.0486189352293,
      56.7802563183431,
      67.3660102394277,
      61.5884365702065,
      57.2324302313357,
      25.9860380332405,
      66.113836326537,
      61.5926125963785,
      60.5489625357496,
      61.9029667618828,
      60.4355754577593,
      58.1399232842514,
      56.3594885019959,
      29.8741376682442,
      26.0134399037362,
      54.6929561970934,
      64.1312276311248,
      35.917100528544,
      43.2878088586554,
      49.9914694842448,
      10.7312342950756,
      44.623906381323,
      52.1673846405779,
      37.3933592847499,
      50.9177282405248,
      61.2768798054655,
      55.7906104840335,
      40.5796286064881,
      41.7640676152735,
      51.7586889884577,
      55.9252212928428,
      59.9094885013243,
      62.1486189357598,
      60.146445023035,
      58.4160102407258,
      56.5573145889044,
      15.5822056089052,
      17.3530857405811,
      26.0224791556192,
      39.390954087702,
      11.8198493302931,
      19.541700775826,
      40.061662420648,
      20.1156138189747,
      39.421104754361,
      32.1346636335802,
      43.6644112147798,
      65.5725319787742,
      64.3573145876185,
      33.6843200338538,
      32.4727632698225,
      15.6494251133822,
      31.2959891156223,
      37.7750494990846,
      19.2549160536814,
      16.5798598959514,
      64.1812276311157,
      44.5207611538963,
      27.5119531896788,
      59.488436570502,
      56.1626932141686,
      56.2710452665531,
      58.6123496140433,
      27.5943900854074,
      44.2745935803738,
      43.4352913464112,
      39.6499933395955,
      59.2186995532071,
      40.8535416499342,
      65.8772234046795,
      71.3986189346839,
      67.8835733436595,
      70.6747058912722,
      68.0203580654428,
      69.54427110877,
      68.3225319784551,
      59.2886083703907,
      66.0116624134984,
      52.5956455100847,
      64.3225319789235,
      67.2551406742236,
      67.3181841524807,
      66.2703580656413,
      66.4334015438859,
      64.2295691178247,
      67.7160102393891,
      65.6768798048454,
      46.159032589615,
      38.8807717221189,
      58.3474758225906,
      59.9625214137899,
      63.0685277528065,
      56.4626932141187,
      65.7987907351793,
      61.218699552941,
      47.2376370581967,
      33.0500528243618,
      43.4638958151503,
      61.9053124748018,
      59.3297409182987,
      60.924877692337,
      62.0812276314193,
      58.2660102407526,
      58.1355754581687,
      40.4625809020154,
      49.9285978058665,
      51.4093761881445,
      69.9790537174284,
      45.6098915885517,
      62.9494779352312,
      56.6197303530252,
      62.2949583092799,
      57.3894673703089,
      66.3315712307267,
      68.6899232827729,
      61.3130368135338,
      55.3219042662006,
      64.2944429092712,
      67.9268798045841,
      18.1912448598331,
      53.5106911013664,
      58.194958309751,
      44.9140676148259,
      62.2233909788578,
      65.9464450221977,
      65.1442711092571,
      59.1146953269452,
      51.450336936128,
      58.3038257618136,
      63.9616624137536,
      63.9138363268032,
      63.8464450224656,
      39.3911853715229,
      61.0775670050464,
      47.5508523363126,
      46.3682436408056,
      24.9275141811079,
      66.4899232830053,
      60.2973040224483,
      66.8660102394843,
      65.0877493701314,
      39.5687590414309,
      43.0488502237743,
      46.3528544496197,
      63.3225319790682,
      55.9927843970277,
      48.1387801720572,
      56.239923284631,
      47.9819148335251,
      41.7914694860418,
      56.1432997966769,
      66.4464450221396,
      64.5879211700994,
      39.7410135715203,
      28.4681313289393,
      34.1019954548626,
      34.1215606722434,
      25.9724791556282,
      66.7551406742798,
      58.1137240139512,
      95.1920971944268,
      95.1920971944268,
      95.1920971944268,
      95.1920971944268,
      95.1920971944269
    ],
    "vocal_pitch_confidence": [
      0.169189186020094,
      0.437002326131119,
      0.5978751649445,
      0.329571441074558,
      0.565377107116856,
      0.596385535338842,
      0.504575710291738,
      0.575006367425013,
      0.634572931136168,
      0.556036881138955,
      0.673398994400989,
      0.0536350867860144,
      0.0370288447814094,
      0.65860187596566,
      0.582935637116007,
      0.479732882788977,
      0.682041434449771,
      0.622623344036966,
      0.215057433495104,
      0.722034593772092,
      0.559133054693701,
      0.460046492692263,
      0.529302693394183,
      0.465221448258116,
      0.309109971702381,
      0.430141344642807,
      0.372119696288624,
      0.55235241113648,
      0.524220643197419,
      0.553695687824532,
      0.569681609329127,
      0.599886598281672,
      0.548511004036477,
      0.475527027829633,
      0.0262314886520809,
      0.0195324353416091,
      0.351603344474295,
      0.6084104072329,
      0.52399554260125,
      0.375311142767739,
      0.478711789957787,
      0.218020484814932,
      0.213885165998425,
      0.511628650804658,
      0.528076660860807,
      0.286681707431253,
      0.140402358484626,
      0.0812288439527997,
      0.0602580006739887,
      0.0414674563300962,
      0.0814649488492526,
      0.0603309369015318,
      0.0871725807634482,
      0.206160987445538,
      0.408903654664923,
      0.606219994758147,
      0.455605251645171,
      0.688159441615172,
      0.687804880587016,
      0.644609629901355,
      0.542137105574257,
      0.54126343324417,
      0.644474285259676,
      0.232783372343975,
      0.0384304335639777,
      0.342440733506048,
      0.43325895388663,
      0.644577661677346,
      0.621254807665778,
      0.624638244368761,
      0.75644692352287,
      0.105313596935473,
      0.331842659284779,
      0.436212800078546,
      0.600100745960982,
      0.592224808171705,
      0.550461131818738,
      0.402267379182883,
      0.732691330390727,
      0.472971975474942,
      0.704369732636603,
      0.427793045441058,
      0.521851003182833,
      0.577477263746576,
      0.739834501634049,
      0.706946641860711,
      0.11863500904696,
      0.0211332991170246,
      0.203127723725942,
      0.662358368331267,
      0.613835661953757,
      0.213929859203031,
      0.46243255935481,
      0.438052229788651,
      0.543271230021136,
      0.625207400059749,
      0.570161973137035,
      0.814669553829409,
      0.626818842453585,
      0.708935671412924,
      0.398003076210752,
      0.254087112122254,
      0.294001147906987,
      0.540854359464432,
      0.58038125597505,
      0.277010777878693,
      0.661272912674572,
      0.556133257030442,
      0.420352376534118,
      0.546461823149943,
      0.19910996580444,
      0.0205305446999526,
      0.404134705647111,
      0.502405349024584,
      0.325650362281382,
      0.495804878358594,
      0.561450952338902,
      0.28137860830826,
      0.557070635655612,
      0.379212086890379,
      0.468374424094447,
      0.535233043061123,
      0.301712012027166,
      0.358933359796832,
      0.414490628563132,
      0.305552201026305,
      0.419403870449535,
      0.587242783222916,
      0.298529635501576,
      0.541928458435541,
      0.587766573145207,
      0.490541972416516,
      0.516509273997896,
      0.191649746831472,
      0.275963111248052,
      0.451453114596028,
      0.583730510670219,
      0.539845593524067,
      0.462415096891398,
      0.365907944265525,
      0.497405246126155,
      0.261717799451478,
      0.665928446547981,
      0.411181685378024,
      0.270474310422749,
      0.0574049523315648,
      0.18985075720311,
      0.169497204698734,
      0.161359778648106,
      0.138228890832289,
      0.0955455176738412,
      0.136716756651838,
      0.140011440525591,
      0.111712998038405,
      0.0240677706906348,
      0.145522004393131,
      0.103909722426401,
      0.105501955897138,
      0.104757282601584,
      0.102005959471908,
      0.103958304066967,
      0.0932468316588361,
      0.103348205198118,
      0.0977613290988611,
      0.0877928425291535,
      0.0143476420361844,
      0.0197970661854453,
      0.0982917565097822,
      0.148227353146251,
      0.115108482085996,
      0.137747964584138,
      0.111394332083736,
      0.0932010960229708,
      0.0891163403831738,
      0.0802013825546126,
      0.0283507290144688,
      0.0174119518872647,
      0.0345230428591916,
      0.037035271173051,
      0.0149950415027791,
      0.0127632853194031,
      0.128308275895243,
      0.116187821686034,
      0.0855544668685688,
      0.0300771200388377,
      0.0434710016516607,
      0.0548049211467988,
      0.031517112842053,
      0.023677130228177,
      0.0248487630622616,
      0.141639520582339,
      0.342547396933603,
      0.0530659552990726,
      0.0100657635757175,
      0.0435732007712981,
      0.0176534449605747,
      0.0258272181595668,
      0.0295910236000603,
      0.012125038326795,
      0.0223971087719948,
      0.0769157520312032,
      0.0468279588476377,
      0.0150786916762387,
      0.0190810787893335,
      0.0485871627190742,
      0.141453635971492,
      0.0226293696169153,
      0.0327526708758141,
      0.0686562548214278,
      0.0730137579379732,
      0.0264319864169865,
      0.0413252202599052,
      0.0235135739428467,
      0.200003002964537,
      0.0667681316704727,
      0.0102506708492018,
      0.0145742452294786,
      0.0252391314314281,
      0.0386384876662853,
      0.0164242141717525,
      0.0477041747714077,
      0.0601080080842317,
      0.0382573100985929,
      0.0498460896922373,
      0.018392798995169,
      0.0143616887140314,
      0.0602601699574848,
      0.0267517285234039,
      0.058732138524967,
      0.0313577557307162,
      0.0572242760772495,
      0.135317492722541,
      0.031871129801845,
      0.016030820924148,
      0.0382313106020208,
      0.0520495397795745,
      0.125389497262754,
      0.232482122357585,
      0.624908534656695,
      0.478990459451221,
      0.490826292415009,
      0.417526819915719,
      0.475574845855828,
      0.269665870877156,
      0.136940611178882,
      0.473069421993823,
      0.0801173578962318,
      0.464035667875711,
      0.460877634095296,
      0.557566670601403,
      0.625015050729716,
      0.500699716055101,
      0.431459583353096,
      0.290542997787902,
      0.400003816084321,
      0.435237609126091,
      0.207929189338579,
      0.289246213992738,
      0.110539242519764,
      0.181154440253345,
      0.219813474820022,
      0.634052339029655,
      0.539241617488826,
      0.715181071043954,
      0.521895852018808,
      0.373503019091883,
      0.203044045803524,
      0.511268823476355,
      0.221346709976229,
      0.175052557401382,
      0.56019707347359,
      0.227783497470898,
      0.359751454400993,
      0.491303627949289,
      0.27212041764735,
      0.511262913890603,
      0.395226624358526,
      0.237404172073057,
      0.368775174158278,
      0.792582491975191,
      0.665504432155931,
      0.434995927091342,
      0.545578489123029,
      0.465014790359586,
      0.294688669586623,
      0.0445773713556269,
      0.188102366898596,
      0.504919657746042,
      0.383763544749797,
      0.550799638982579,
      0.618747370493091,
      0.417631743507131,
      0.297497843801455,
      0.0389317839750323,
      0.0597308260579706,
      0.250649436731257,
      0.21416479622487,
      0.0466314921510905,
      0.0823440017558586,
      0.0516894731616762,
      0.0232928464594961,
      0.0581700202811546,
      0.144426065292157,
      0.240393530773236,
      0.17625535282706,
      0.283798857941319,
      0.17388167786897,
      0.155060078278109,
      0.181101739571507,
      0.257275497463376,
      0.341393771776056,
      0.260438466891435,
      0.522687582798401,
      0.500096581452445,
      0.459282871013747,
      0.317180886816448,
      0.0459405825000713,
      0.0200101433018107,
      0.0387706437077089,
      0.0279410179345654,
      0.0263405621036979,
      0.0295205186877536,
      0.0526623511756964,
      0.0287597513036817,
      0.0662556492480353,
      0.0374830131205009,
      0.175900382145824,
      0.15896023888968,
      0.523602951778162,
      0.21373735457383,
      0.0378663792445394,
      0.0200556841281424,
      0.0161659679071729,
      0.0390813767933098,
      0.0355631009942072,
      0.0182411453984255,
      0.164784980357537,
      0.146387738460179,
      0.0424560810309441,
      0.372545046030522,
      0.353016369822781,
      0.258020436342666,
      0.102144651206608,
      0.0711717677417008,
      0.0470476245177558,
      0.0409752344142199,
      0.0575538812369035,
      0.205665538415173,
      0.0674912911091989,
      0.376632659219291,
      0.446576969088761,
      0.521957500820941,
      0.412072399785666,
      0.855168137767898,
      0.533430113860527,
      0.558435354125379,
      0.335278931057356,
      0.48212814349828,
      0.43810623917905,
      0.387315680179974,
      0.794731100207248,
      0.616649806859022,
      0.193374527391998,
      0.486457948367923,
      0.478683012639118,
      0.65018011728618,
      0.411376055933346,
      0.206069914043926,
      0.0944366285198958,
      0.40380931420423,
      0.454407652380709,
      0.287971139203721,
      0.127804899326945,
      0.589860579594883,
      0.505914472448276,
      0.168450392664582,
      0.28951520472579,
      0.138744430694129,
      0.524271831289963,
      0.471920732831299,
      0.445301966369231,
      0.393251345505738,
      0.375622218136819,
      0.44541567620049,
      0.227011239484665,
      0.158541487142447,
      0.188855272124124,
      0.391038008224578,
      0.373476802133304,
      0.431050883751609,
      0.199198764065506,
      0.362567663664672,
      0.407996874593324,
      0.327041980598993,
      0.415150575440951,
      0.165496454838344,
      0.298056944839755,
      0.411687157337528,
      0.542955990089002,
      0.038786860427629,
      0.188609353067987,
      0.224097237073574,
      0.343187911875094,
      0.533134898096443,
      0.864028356122473,
      0.576398145666836,
      0.430375369687375,
      0.183245099180696,
      0.305233470228785,
      0.324683351762616,
      0.499145842360014,
      0.506879535878393,
      0.240489483350933,
      0.46650785403009,
      0.295211023663401,
      0.037231898112664,
      0.0276939123332004,
      0.316490399066172,
      0.573652817929953,
      0.665124501628854,
      0.338359380521399,
      0.342328043126186,
      0.0886715641698436,
      0.295787151480558,
      0.4778983582793,
      0.412735810066562,
      0.225515300187967,
      0.338859279199984,
      0.192891415441274,
      0.221106181750156,
      0.531305612697343,
      0.630006554322547,
      0.399804380351476,
      0.0440126760135312,
      0.0855335202546184,
      0.0907045748289683,
      0.113681526796927,
      0.10185135024531,
      0.21042928798127,
      0.0698071397189237,
      0.114065579900422,
      0.112016965435747,
      0.111630102855291,
      0.111621385780679,
      0.108878315479202
    ],
    "analysis_vocal_vibrato_rate": 8.52272727272727,
    "vocal_vibrato_extent": 12.4389467704055,
    "vocal_vibrato_presence": 0.931656889230122,
    "bass_pitch_contour_hz": [
      268.887389013145,
      398.994190148538,
      312.256322724943,
      393.919293421064,
      398.994190148538,
      354.28305633738,
      271.332429650848,
      364.2990431791,
      345.857043902299,
      364.2990431791,
      372.97282992146,
      138.780587877752,
      77.6723863839277,
      337.105818161621,
      364.520721942982,
      346.951469694381,
      372.97282992146,
      398.994190148538,
      363.231091802486,
      329.603896209662,
      344.247153752996,
      338.277682952021,
      288.614716071452,
      265.182045778536,
      322.924952493621,
      339.404185781641,
      152.918629145505,
      372.97282992146,
      327.162889924863,
      268.887389013145,
      369.647786118366,
      378.528383943443,
      372.97282992146,
      312.256322724943,
      0,
      338.277682952021,
      286.234962497864,
      353.30428677735,
      398.994190148538,
      398.994190148538,
      251.539815528426,
      398.994190148538,
      312.256322724943,
      251.539815528426,
      55.7600351985178,
      59.5011927535619,
      66.987559173059,
      67.3451305952658,
      78.1134482670517,
      79.7465422384263,
      78.6835749219802,
      71.6423430368946,
      70.7620355226489,
      68.5308229409985,
      57.9368658330062,
      47.8272581917759,
      47.020478284599,
      0,
      20.5775844501592,
      37.6261635993069,
      18.0003910753817,
      29.3377370515166,
      25.2384716932825,
      31.0282285422379,
      22.4060554075549,
      17.2412741152553,
      14.6474597027659,
      56.2307940250868,
      9.50977358220473,
      20.2920565552423,
      57.8840556100389,
      35.0783027864603,
      47.6447480782515,
      36.5540776455786,
      52.0508972238935,
      61.5841385435205,
      51.8577587453361,
      53.1218977720593,
      43.8263020947459,
      58.0068969397562,
      27.6724116224192,
      31.2745002892015,
      23.3170760823196,
      34.3937498803464,
      29.6711507032704,
      6.1640395058005,
      30.8691335812482,
      39.0541322823887,
      27.5399363300756,
      52.0224793510218,
      27.8986395837538,
      47.8025378416724,
      41.6179323963834,
      45.8474149411621,
      52.3403226186642,
      49.5659869867398,
      48.5347595171891,
      36.4406237418066,
      62.1060425349043,
      73.9682215718199,
      54.5939589708496,
      54.9962553433475,
      32.6076256092204,
      34.4999504690059,
      52.240826236178,
      35.9211081400729,
      57.1207192894299,
      65.1952700375616,
      69.8857600169021,
      54.956779311001,
      51.0102505861405,
      63.1546424908781,
      36.4776388260052,
      51.7689297659908,
      56.1177636926758,
      48.5370066296932,
      42.2155659923251,
      60.2448495351138,
      53.0757739398448,
      55.5696613351959,
      42.1235942554274,
      63.2801307828211,
      63.0444588834383,
      71.5446217820514,
      60.2343003448685,
      27.6094199531206,
      40.4127933393746,
      51.1388632207422,
      46.6428070944097,
      62.9080872979164,
      72.0278869612791,
      35.5891454189718,
      64.6363666952986,
      61.0774545510829,
      55.7895202779886,
      42.5094477805988,
      46.272234057199,
      40.2748437232978,
      13.2965699204142,
      52.0865273225247,
      50.1670693770688,
      39.9654788433782,
      44.4752598012763,
      41.6569456090305,
      51.3810995264011,
      32.2053895430741,
      49.8516539244072,
      36.5592024582393,
      12.1283312398973,
      24.2494704313424,
      38.9123414722977,
      11.7578817820876,
      34.6067262983921,
      27.6141081760416,
      2.37203195880215,
      41.6018124484494,
      41.2859063211144,
      37.4884913551268,
      45.9401969228013,
      50.69974351266,
      25.7672358132681,
      21.4843565044128,
      39.5793499320685,
      39.7596174874177,
      47.0534543204839,
      48.3451949207955,
      53.3292991631479,
      40.9535166714472,
      54.1225175512626,
      42.0271269407865,
      48.6101195008535,
      32.9352013370861,
      49.0095109816093,
      56.6896506483703,
      43.8126136645922,
      37.3784114708812,
      25.5086560305433,
      47.7066298107848,
      19.2572064316559,
      39.718284607849,
      58.4385117132251,
      46.9829858979188,
      38.9854882760398,
      43.4633990442936,
      52.7008514145158,
      48.0037144691322,
      51.3492343213926,
      50.893243274053,
      56.0198238917474,
      46.1446867707269,
      82.1705628998955,
      63.2795870866559,
      53.3230042294526,
      23.6791213988247,
      11.6302123317428,
      48.0966555248877,
      43.3368606027678,
      61.5501803237041,
      69.0534901106379,
      66.8065205809612,
      61.7444981574285,
      67.5191321178075,
      68.9816813588084,
      34.3633627163733,
      52.4671229957167,
      53.5044523417478,
      29.8864859429401,
      48.680985161674,
      52.1555056945883,
      48.7404706906381,
      40.6698637375957,
      48.5313905928293,
      58.0764355074696,
      57.9740485623542,
      69.2729277714955,
      58.6432888686201,
      15.4155468527814,
      32.2523157484538,
      52.0076048857364,
      51.0865178448752,
      59.9094799046428,
      67.0479354829859,
      92.9838860273778,
      65.7139190475397,
      45.0550347887179,
      52.2062493491854,
      37.5435426296523,
      51.8942259216958,
      51.2562672850241,
      43.4869574997115,
      63.0076608925615,
      54.3383697422219,
      56.0306983693338,
      46.5213680782797,
      43.9932035490917,
      77.0042096024675,
      55.1034839383949,
      38.9065773719632,
      56.3237323357987,
      68.5300613243527,
      82.594287829058,
      86.2286869384581,
      101.968844077988,
      90.544265629889,
      93.5639338825745,
      86.2356637035551,
      85.1216127476825,
      75.180336337339,
      54.695897891635,
      50.2558860469675,
      32.4132887693249,
      35.1199540031657,
      46.8194704776605,
      32.4954563302001,
      22.490957573059,
      46.6880957077645,
      35.6780564916688,
      52.610659744484,
      54.6572708706865,
      43.9621673914545,
      50.7192913465573,
      56.0902166821685,
      69.7991777324245,
      95.1757255687905,
      108.503855280512,
      95.8057672901491,
      56.432157843085,
      73.8968883521929,
      0,
      71.942957290461,
      102.867376341174,
      70.1223971089744,
      77.8691060331164,
      90.2448711854002,
      87.0916455502627,
      86.2529032373599,
      95.9840277817807,
      89.7321909753748,
      104.43060262779,
      100.918969602237,
      94.8959962149691,
      116.001683934094,
      25.7147386210042,
      99.0734549444588,
      33.8364559004116,
      23.9611689939695,
      45.8090321415253,
      42.3312132146212,
      41.0330392181653,
      66.2410468788946,
      58.4103853355297,
      68.2400797034424,
      46.9475244309226,
      58.7138249013575,
      51.9548488614369,
      55.7217214841063,
      52.2228962386122,
      52.8590299218229,
      52.6792445649071,
      49.1219646039136,
      34.4166889826821,
      46.1685983405741,
      40.5352066455987,
      51.3137197340098,
      38.0084139331386,
      69.405181983715,
      70.8562650568347,
      37.4386117190686,
      33.216656897155,
      46.4450994974838,
      45.7944937471397,
      54.7453037338055,
      68.1735322525954,
      87.7224353326625,
      64.3646651978279,
      90.7082156841021,
      64.6203547553948,
      67.2255533150051,
      55.9070657144372,
      49.1538535385501,
      52.0765359691958,
      48.6400244452152,
      46.7689104280034,
      42.6471776694068,
      41.5764974600544,
      37.8785508629904,
      46.9906418563057,
      52.0737777320716,
      57.356935091904,
      48.7971934952552,
      47.3278984994851,
      55.7482938609755,
      42.7366985211658,
      48.3234170783755,
      37.0531866347179,
      38.6298243569476,
      38.9246091597353,
      38.8155403960522,
      51.7793157641662,
      0,
      11.9712790554795,
      53.4415281013465,
      44.8759027715671,
      51.3664662570984,
      47.7454272194798,
      42.0512427142955,
      39.4577930211451,
      33.2132319955161,
      41.6432158239759,
      72.1119556434726,
      80.7513556661267,
      54.0857801527522,
      57.3947479027323,
      18.3463758772506,
      39.9769857824952,
      47.6830324313487,
      43.8048853891229,
      55.9323500203869,
      67.8552442364426,
      87.0969830906681,
      29.1875915687122,
      66.1520964289708,
      77.6259078623326,
      50.4881269264442,
      53.7331972553602,
      52.2707753944243,
      19.3694403318643,
      42.0189907528296,
      61.1245230103473,
      38.9072158774597,
      47.912477386789,
      45.6220868888399,
      40.4456588831051,
      51.4374747049307,
      30.0067696830309,
      64.0888178272792,
      27.7107404032539,
      34.5091549094488,
      52.4007034569574,
      37.1882619578718,
      61.3459671506505,
      95.7121103190357,
      8.98991319438282,
      39.2166376749297,
      66.0952791482697,
      78.3652889760683,
      36.8823709333372,
      59.6294993566263,
      43.8241327059958,
      35.35078113896,
      55.0557452369321,
      48.1089314261984,
      80.5990197567724,
      89.3700395819697,
      84.9932149689572,
      76.124423643688,
      57.0445249240382,
      76.3563201802265,
      46.7076356960094,
      11.697717175874,
      33.7589406496788,
      51.8136780317892,
      48.5675032024909,
      64.9743241975615,
      67.2731470688738,
      84.4533879544744,
      79.6856905439975,
      62.1959188704305,
      53.4919334843631,
      50.3800414087831,
      30.9628134529235,
      31.3734056167642,
      34.5674371132242,
      48.0402791704679,
      50.6021038284823,
      33.1778667076178,
      44.7413070197836,
      42.5353758114116,
      60.6374675129053,
      54.8039537200705,
      59.0620456674002,
      56.7767376643695,
      21.7876099918367,
      48.1842645426702,
      47.5416663708471,
      53.028252714603,
      89.8232628356977,
      7.31691368983739,
      0,
      0,
      33.0398887935025,
      101.636967514578,
      102.363631546019,
      70.0948482160441,
      77.7629044632772,
      78.9194899289499,
      50.0200107255385,
      59.5801183052678,
      66.5584848661559,
      108.681629762876,
      374.431308486419,
      394.188408953776,
      398.994190148538,
      398.994190148538,
      398.994190148538
    ],
    "bass_pitch_contour_midi": [
      45.3586410477039,
      67.3063705869154,
      52.6745508941077,
      67.0672401521616,
      67.3063705869154,
      63.03435447461,
      49.6287602293733,
      61.4536427097924,
      64.5607184133674,
      61.4536427097924,
      62.9168246790731,
      23.4109115084923,
      13.1512464191811,
      60.1036427099642,
      65.6737618914603,
      58.5272787712308,
      62.9168246790731,
      67.3063705869154,
      61.4058166228413,
      55.6009148326693,
      61.5494333748913,
      57.0640968019501,
      50.5265863162111,
      59.2757973141751,
      57.2924961626986,
      59.2165476971275,
      26.1872754470717,
      62.9168246790731,
      61.6952240399966,
      45.3586410477039,
      65.7976749349409,
      66.2628923261825,
      62.9168246790731,
      52.6745508941078,
      0,
      57.0640968019501,
      48.2850049862654,
      64.0736234004591,
      67.3063705869154,
      67.3063705869154,
      42.4322771091423,
      67.3063705869154,
      52.6745508941078,
      42.4322771091423,
      26.9999454004517,
      28.7610919480223,
      32.7965670127837,
      32.8813496214284,
      38.0887023076483,
      38.9388407988301,
      38.2278327423456,
      34.7707570384893,
      34.5794526907691,
      34.4056781391667,
      31.5664092143167,
      27.5594720026933,
      28.0967055076346,
      0,
      12.2719195690838,
      22.4129888817009,
      8.71225447700278,
      16.7227505168752,
      16.3425927181577,
      14.9001804369442,
      14.7184026923232,
      11.1414847874516,
      8.33413209939276,
      31.1098874754967,
      5.35749117783512,
      11.4564251947568,
      32.3645122842534,
      19.4252014113291,
      29.1579905476983,
      23.3200645876251,
      32.0455010344241,
      33.6603029491212,
      28.2528117713148,
      29.4835235365475,
      25.670064585681,
      33.9041966851205,
      17.0556361959013,
      18.7057746862716,
      13.8156748124256,
      17.7226120243637,
      18.7951821047678,
      3.96170051319034,
      14.867571741309,
      25.3640968143744,
      13.5826506417268,
      28.6248278853708,
      17.8863479614759,
      30.5715879922464,
      25.6833850476243,
      28.0555396517058,
      32.1411532082569,
      29.5795911858076,
      28.9164092162219,
      21.6998069121564,
      32.5359744311315,
      37.1191370908343,
      29.3681676536183,
      27.763404353702,
      20.6129888833489,
      21.6979099828855,
      32.1085445126318,
      18.2508728934732,
      30.948879418623,
      34.6668246875284,
      35.7363899042965,
      29.9617844057953,
      28.5181676541345,
      31.2768633046966,
      21.7106764773657,
      30.9537812118945,
      33.3476749464074,
      29.5884253298348,
      25.8877328735335,
      29.1591950185385,
      28.2572980896293,
      28.6354204670555,
      24.8286217466504,
      35.4237619013974,
      33.7188601094357,
      36.5930501346033,
      31.0445315930183,
      16.4640548647365,
      25.2725154827634,
      31.4214494995883,
      23.5147473187418,
      33.6753818485995,
      36.2276942518342,
      15.2130854234641,
      28.1193721257135,
      33.9843544840915,
      27.7523962965305,
      25.3135428467946,
      27.5204800597201,
      23.9284832554999,
      8.26253146086124,
      30.623207937764,
      27.0742739189628,
      25.7119229009931,
      27.90785205677,
      24.661368934535,
      26.017475197434,
      20.8631273749645,
      30.3385638210921,
      21.7345895208262,
      7.2252979562341,
      15.0443511566525,
      23.1587795468708,
      7.11008056502087,
      16.6374139410436,
      17.7820001354862,
      1.42853785212932,
      25.9552626697527,
      26.1749663788408,
      22.3629888817464,
      25.5458745586703,
      27.5831080625757,
      14.5287182901584,
      12.1739549903832,
      19.9033237889679,
      23.6784832557729,
      30.2976749490227,
      29.8472594736738,
      30.5448085764909,
      21.786347958478,
      29.3268633057737,
      24.4284832551377,
      28.5271402899475,
      15.1936586977074,
      23.6080870878624,
      31.3774172715917,
      22.4385218711429,
      23.1873174002615,
      16.4425927180637,
      24.8542932280165,
      12.707117653154,
      25.6227924662921,
      29.1918037139485,
      30.2715879925255,
      25.0704800618192,
      27.2403222611108,
      32.2585445125075,
      29.4166861995407,
      31.1452240514358,
      30.3384253292279,
      33.3172401638227,
      24.7477714887562,
      37.8362514115079,
      30.441803713077,
      26.9241354277178,
      15.9883833844118,
      7.3819581871168,
      29.7668246911311,
      25.6832465559055,
      32.8535042269906,
      36.9389792916902,
      32.1877328693335,
      25.9428696954636,
      34.0752433567923,
      34.8819035871308,
      19.975478394532,
      31.1755203421501,
      31.8387023117375,
      18.2601225127223,
      29.9581290387982,
      30.1991564028395,
      29.4275557649207,
      25.6617844091171,
      29.2426346643474,
      32.8103029496336,
      31.1554011576264,
      36.0952240479243,
      30.5771402890301,
      10.4262673968602,
      20.3106764785473,
      32.0302836431334,
      28.2594720023314,
      32.4948085750151,
      34.6405992393277,
      42.0455010280237,
      33.3729309523746,
      25.3132658631745,
      25.5650243009985,
      22.3869019252001,
      30.9929116466461,
      30.4514688073991,
      26.6183061474202,
      34.5017457880926,
      30.873069445787,
      28.5874558882599,
      29.2103029525011,
      24.9437006460994,
      36.814512281593,
      29.0962900316084,
      24.9183061490296,
      33.4107184246192,
      33.4336620259461,
      34.631072637414,
      35.2354204632451,
      43.1018842750971,
      39.9646507716351,
      42.1976749409743,
      39.1972594676362,
      40.0257973200094,
      34.9662707206809,
      27.1935621529074,
      28.3181676542694,
      18.3163672681416,
      19.8449051201949,
      27.2920806985295,
      18.3359324855215,
      12.8284413078031,
      30.1628923404534,
      22.1087795477384,
      31.0863899075332,
      29.0615074228899,
      23.3866249409229,
      28.7878713631469,
      33.3389792942405,
      34.2577135605891,
      40.7298681626192,
      44.1584060137928,
      40.3362514103338,
      25.5777907958853,
      33.6877328685222,
      0,
      30.5435621512307,
      43.2084060142011,
      32.9290372167366,
      35.4988794160644,
      41.0366668847191,
      39.3689985979829,
      36.9967055023397,
      40.9472594668351,
      38.1598874716495,
      42.9082675227758,
      41.749433379547,
      38.9968439930434,
      45.2540581872998,
      10.0535588242292,
      41.7365283929601,
      19.2472175259579,
      14.9921772436103,
      28.3578520563841,
      25.9290372213221,
      21.3188181627343,
      35.3713110048875,
      31.2771402879756,
      34.901468804401,
      26.6070211067041,
      32.5536427189254,
      25.545459083597,
      33.2215879899878,
      31.0950855596086,
      31.6321805727753,
      32.252022773382,
      30.1059551256287,
      21.6674752003051,
      29.6888408054727,
      25.0028117737051,
      29.7403222590786,
      21.4234429722133,
      37.0259358133747,
      35.0317650952514,
      23.8986024407654,
      20.2887988562624,
      28.8884253304309,
      22.3406957845874,
      28.5809341489024,
      35.8169631785382,
      38.8884253240384,
      25.1056361910335,
      39.4210340194473,
      33.3904607485144,
      31.6071595955058,
      33.2802836421143,
      29.4448085772241,
      31.3843544860182,
      29.9494333866273,
      28.6839390126239,
      26.9533657396286,
      26.8687216229349,
      24.3812111357346,
      27.1116459162385,
      27.9787602362035,
      32.2210340234828,
      28.620618550719,
      28.192357681472,
      30.3467055061383,
      26.372653973712,
      29.8429116475879,
      22.8915267346097,
      24.9400452793321,
      25.0487409314042,
      23.8809341524909,
      24.6821386224114,
      0,
      7.17529795627471,
      31.8213110074015,
      26.7399067858825,
      30.8168246902734,
      29.3319035909158,
      25.8355589605319,
      24.9355589613265,
      21.2522578093649,
      24.1828310815137,
      34.2814881123747,
      37.0382868333347,
      30.4381483455977,
      28.8439776272964,
      12.3462480883001,
      24.7810726434881,
      29.3101644605002,
      24.7110919507335,
      29.7725154794054,
      35.7734849176757,
      39.8582675241479,
      11.8125314587369,
      33.7926346612896,
      36.8340774990388,
      29.1010533329813,
      31.9147892681949,
      31.1103029509008,
      11.8827891346202,
      25.8203415692443,
      33.6342159925443,
      23.6416652260019,
      29.3753818517586,
      27.9316266083737,
      23.1760323594429,
      30.842911646771,
      18.516782743593,
      32.496843996802,
      18.0212690620659,
      21.3738584477998,
      32.1607184256321,
      20.2079485983399,
      31.9880098527546,
      41.5214494934279,
      3.18954590807821,
      16.9611884927742,
      33.7665477047832,
      36.934077499015,
      22.432692591013,
      31.6924961709501,
      26.0658552510916,
      21.6847280127285,
      29.5400452759379,
      27.6029502635626,
      36.9535042247126,
      35.0244124066282,
      37.0272787766451,
      32.9831080596084,
      25.1450436088521,
      36.7514688033253,
      27.179314204633,
      7.93440908357431,
      21.4392143309413,
      31.9650662518847,
      25.7587795450813,
      35.04739796162,
      35.6278327438553,
      38.8581290330173,
      37.3992948899616,
      31.2572980872032,
      28.733246553557,
      29.8143737943315,
      18.6057746863532,
      18.7318616427767,
      21.6761708525128,
      29.4253818517101,
      27.8051241768196,
      21.2392143311163,
      27.9882868393181,
      25.3004993685604,
      33.4820420796196,
      29.9313496232004,
      32.6211725152896,
      30.755678142136,
      13.5810306958606,
      30.0908762262435,
      29.2645122866246,
      27.769926092445,
      39.2862514108033,
      2.95693721250853,
      0,
      0,
      11.7036973151249,
      38.7030887493017,
      41.3732079316555,
      34.4339390088836,
      36.0230694428009,
      35.5533657341678,
      30.7256588343807,
      31.0400452747199,
      30.1480484690657,
      30.9279292858556,
      66.2063705870407,
      67.0911531956356,
      67.3063705869154,
      67.3063705869154,
      67.3063705869155
    ],
    "drum_onset_timestamps": [
      0.64,
      1.344,
      2.05866666666667,
      2.41066666666667,
      2.784,
      3.47733333333333,
      4.192,
      4.72533333333333,
      4.88533333333333,
      5.23733333333333,
      5.6,
      5.792,
      5.952,
      6.144,
      6.29333333333333,
      7.008,
      7.69066666666667,
      8.04266666666667,
      8.40533333333333,
      9.09866666666667,
      9.792,
      10.496,
      10.848,
      11.1893333333333,
      11.552,
      11.8933333333333,
      12.6293333333333,
      12.9706666666667,
      13.152,
      13.312,
      14.016,
      14.7093333333333,
      15.424,
      16.1173333333333,
      16.4586666666667,
      16.832,
      16.992,
      17.1626666666667,
      17.344,
      17.5146666666667,
      18.2186666666667,
      18.9013333333333,
      19.264,
      19.616,
      20.2986666666667,
      20.6506666666667,
      21.0026666666667,
      21.3546666666667,
      21.7066666666667,
      22.0586666666667,
      22.2506666666667,
      22.4,
      22.5706666666667,
      22.752,
      22.912,
      23.0826666666667,
      23.264,
      23.4346666666667,
      23.5946666666667,
      23.776,
      23.9466666666667,
      24.1173333333333,
      24.288,
      24.4586666666667,
      24.6293333333333,
      24.8,
      24.9706666666667,
      25.1413333333333,
      25.312,
      25.472,
      25.6426666666667,
      25.8133333333333,
      25.984,
      26.144,
      26.3146666666667,
      26.496,
      26.656,
      26.8053333333333,
      27.0186666666667,
      27.1786666666667,
      27.5306666666667,
      27.8826666666667,
      28.2346666666667,
      28.4053333333333,
      28.576,
      28.7573333333333,
      28.928,
      29.2906666666667,
      29.472,
      29.632,
      29.8026666666667,
      29.9733333333333,
      30.144,
      30.3146666666667,
      30.6666666666667,
      30.8586666666667,
      31.008,
      31.1786666666667,
      31.3493333333333,
      31.5093333333333,
      31.6906666666667,
      32.032,
      32.224,
      32.3733333333333,
      32.544,
      32.7146666666667,
      32.896,
      33.056,
      33.408,
      33.6,
      33.76,
      33.9306666666667,
      34.0906666666667,
      34.272,
      34.4426666666667,
      34.7946666666667,
      34.9973333333333,
      35.1466666666667,
      35.3066666666667,
      35.488,
      35.8506666666667,
      36.0213333333333,
      36.192,
      36.544,
      36.736,
      36.8853333333333,
      37.248,
      37.4293333333333,
      37.5893333333333,
      37.792,
      37.9306666666667,
      38.1013333333333,
      38.2933333333333,
      38.6453333333333,
      39.008,
      39.1893333333333,
      39.36,
      39.5413333333333,
      39.6906666666667,
      39.872,
      40.0426666666667,
      40.3946666666667,
      40.5866666666667,
      40.736,
      40.9173333333333,
      41.0773333333333,
      41.2586666666667,
      41.4186666666667,
      41.7813333333333,
      41.9733333333333,
      42.1226666666667,
      42.304,
      42.464,
      42.6453333333333,
      42.816,
      43.168,
      43.3386666666667,
      43.5093333333333,
      43.6906666666667,
      43.8613333333333,
      44.224,
      44.3946666666667,
      44.5653333333333,
      44.928,
      45.1093333333333,
      45.2693333333333,
      45.632,
      45.792,
      45.9733333333333,
      46.3146666666667,
      46.4746666666667,
      46.6666666666667,
      47.0293333333333,
      47.2,
      47.36,
      47.7333333333333,
      47.8933333333333,
      48.0746666666667,
      48.4266666666667,
      48.5973333333333,
      48.7573333333333,
      48.928,
      49.0986666666667,
      49.2906666666667,
      49.4506666666667,
      49.824,
      50.176,
      50.368,
      50.5173333333333,
      50.88,
      51.2426666666667,
      51.4133333333333,
      51.584,
      51.936,
      52.1066666666667,
      52.2773333333333,
      52.4693333333333,
      52.6293333333333,
      52.8533333333333,
      52.9813333333333,
      53.1626666666667,
      53.3333333333333,
      53.5253333333333,
      53.6853333333333,
      53.856,
      54.0373333333333,
      54.2186666666667,
      54.3893333333333,
      54.5813333333333,
      54.7306666666667,
      54.9546666666667,
      55.0826666666667,
      55.2533333333333,
      55.424,
      55.6053333333333,
      55.7653333333333,
      55.968,
      56.128,
      56.32,
      56.4693333333333,
      56.6826666666667,
      56.8426666666667,
      57.0133333333333,
      57.184,
      57.3653333333333,
      57.536,
      57.7066666666667,
      57.8773333333333,
      58.2293333333333,
      58.4,
      58.5706666666667,
      58.7733333333333,
      58.9333333333333,
      59.1146666666667,
      59.2746666666667,
      59.488,
      59.6373333333333,
      59.7973333333333,
      59.968,
      60.1493333333333,
      60.32,
      60.512,
      60.6613333333333,
      60.8533333333333,
      61.024,
      61.1946666666667,
      61.3653333333333,
      61.728,
      61.8986666666667,
      61.9413333333333,
      62.08,
      62.2613333333333,
      62.432,
      62.6346666666667,
      62.784,
      62.9653333333333,
      63.1466666666667,
      63.3173333333333,
      63.4773333333333,
      63.68,
      63.84,
      64.0213333333333,
      64.192,
      64.544,
      64.7146666666667,
      64.8853333333333,
      65.088,
      65.2373333333333,
      65.472,
      65.6,
      65.7813333333333,
      65.952,
      66.112,
      66.2933333333333,
      66.5173333333333,
      66.656,
      66.8373333333333,
      67.008,
      67.3813333333333,
      67.552,
      67.712,
      67.904,
      68.064,
      68.288,
      68.4266666666667,
      68.608,
      68.768,
      68.9386666666667,
      69.12,
      69.3333333333333,
      69.472,
      69.664,
      69.824,
      70.0373333333333,
      70.1653333333333,
      70.3573333333333,
      70.528,
      70.7306666666667,
      70.848,
      71.0506666666667,
      71.232,
      71.4026666666667,
      71.5733333333333,
      71.7653333333333,
      71.9253333333333,
      72.288,
      72.6506666666667,
      72.8533333333333,
      73.0026666666667,
      73.1626666666667,
      73.3226666666667,
      73.5253333333333,
      73.696,
      73.9093333333333,
      74.048,
      74.24,
      74.4,
      74.5813333333333,
      74.7413333333333,
      74.9226666666667,
      75.0933333333333,
      75.3173333333333,
      75.4453333333333,
      75.7866666666667,
      75.968,
      76.1386666666667,
      76.3093333333333,
      76.48,
      76.7146666666667,
      76.832,
      77.0346666666667,
      77.1733333333333,
      77.344,
      77.5146666666667,
      77.696,
      77.856,
      78.08,
      78.2186666666667,
      78.4213333333333,
      78.5706666666667,
      78.7306666666667,
      78.9013333333333,
      79.072,
      79.2426666666667,
      79.4666666666667,
      79.6053333333333,
      79.7866666666667,
      79.9466666666667,
      80.128,
      80.288,
      80.6506666666667,
      80.832,
      81.0026666666667,
      81.3546666666667,
      81.5253333333333,
      81.6853333333333,
      82.0586666666667,
      82.2293333333333,
      82.4,
      82.5813333333333,
      82.7413333333333,
      82.912,
      83.0933333333333,
      83.4453333333333,
      83.6586666666667,
      83.808,
      83.9893333333333,
      84.16,
      84.3306666666667,
      84.5013333333333,
      84.6826666666667,
      84.8533333333333,
      85.0773333333333,
      85.216,
      85.5466666666667,
      85.7386666666667,
      85.888,
      86.0906666666667,
      86.24,
      86.464,
      86.6026666666667,
      86.784,
      86.9546666666667,
      87.136,
      87.296,
      87.4773333333333,
      87.648,
      87.8613333333333,
      88,
      88.192,
      88.3413333333333,
      88.512,
      88.6826666666667,
      89.056,
      89.216,
      89.3866666666667,
      89.7493333333333,
      89.9306666666667,
      90.0906666666667,
      90.624,
      90.7946666666667,
      91.1573333333333,
      91.3386666666667,
      91.488,
      91.8613333333333,
      92.032,
      92.192,
      92.5546666666667,
      92.7146666666667,
      92.896,
      93.088,
      93.248,
      93.4293333333333,
      93.6,
      93.76,
      93.9306666666667,
      94.1013333333333,
      94.272,
      94.6346666666667,
      94.9973333333333,
      95.1786666666667,
      95.3386666666667,
      95.5093333333333,
      95.6906666666667,
      95.8826666666667,
      96.0426666666667,
      96.2133333333333,
      96.3946666666667,
      96.7466666666667,
      96.9066666666667,
      97.088,
      97.44,
      97.6106666666667,
      97.7706666666667,
      98.1333333333333,
      98.304,
      98.4533333333333,
      98.656,
      98.816,
      98.9973333333333,
      99.1573333333333,
      99.36,
      99.488,
      99.7333333333333,
      99.8506666666667,
      100.202666666667,
      100.384,
      100.544,
      100.906666666667,
      101.237333333333,
      101.44,
      101.6,
      101.76,
      101.930666666667,
      102.282666666667,
      102.634666666667,
      102.986666666667,
      103.157333333333,
      103.328,
      103.562666666667,
      103.690666666667,
      103.914666666667,
      104.032,
      104.256,
      104.384,
      104.554666666667,
      104.736,
      104.906666666667,
      105.077333333333,
      105.269333333333,
      105.418666666667,
      105.781333333333,
      106.133333333333,
      106.325333333333,
      106.474666666667,
      106.656,
      106.816,
      106.986666666667,
      107.178666666667,
      107.349333333333,
      107.530666666667,
      107.733333333333,
      107.882666666667,
      108.042666666667,
      108.213333333333,
      108.416,
      108.576,
      108.768,
      108.928,
      109.141333333333,
      109.28,
      109.461333333333,
      109.621333333333,
      109.802666666667,
      109.984,
      110.154666666667,
      110.325333333333,
      110.666666666667,
      110.901333333333,
      111.018666666667,
      111.381333333333,
      111.562666666667,
      111.712,
      112.085333333333,
      112.245333333333,
      112.416,
      112.597333333333,
      112.768,
      113.109333333333,
      113.290666666667,
      113.461333333333,
      113.813333333333,
      114.165333333333,
      114.325333333333,
      114.496,
      114.698666666667,
      114.837333333333,
      115.018666666667,
      115.2,
      115.370666666667,
      115.541333333333,
      115.722666666667,
      115.882666666667,
      116.064,
      116.224,
      116.426666666667,
      116.597333333333,
      116.970666666667,
      117.322666666667,
      117.504,
      117.685333333333,
      117.856,
      118.026666666667,
      118.229333333333,
      118.389333333333,
      118.56,
      118.730666666667,
      118.922666666667,
      119.061333333333,
      119.424,
      119.637333333333,
      119.786666666667,
      119.957333333333,
      120.138666666667,
      120.490666666667,
      120.650666666667,
      120.821333333333,
      121.013333333333,
      121.184,
      121.525333333333,
      121.717333333333,
      121.888,
      122.048,
      122.218666666667,
      122.410666666667,
      122.581333333333,
      122.752,
      122.922666666667,
      123.285333333333,
      123.466666666667,
      123.616,
      123.797333333333,
      123.989333333333,
      124.16,
      124.330666666667,
      124.682666666667,
      124.874666666667,
      125.034666666667,
      125.546666666667,
      125.717333333333,
      126.261333333333,
      126.442666666667,
      126.805333333333,
      126.976,
      127.146666666667,
      127.317333333333,
      127.488,
      127.68,
      127.829333333333,
      128.224,
      128.586666666667,
      128.768,
      128.949333333333,
      129.12,
      129.301333333333,
      129.653333333333,
      129.813333333333,
      129.994666666667,
      130.336,
      130.688,
      131.050666666667,
      131.221333333333,
      131.392,
      131.754666666667,
      131.914666666667,
      132.096,
      132.277333333333,
      132.448,
      132.629333333333,
      132.789333333333,
      133.141333333333,
      133.322666666667,
      133.493333333333,
      133.845333333333,
      134.197333333333,
      134.538666666667,
      134.773333333333,
      134.890666666667,
      135.242666666667,
      135.584,
      135.936,
      136.288,
      136.629333333333,
      136.853333333333,
      136.981333333333,
      137.333333333333,
      137.685333333333,
      137.877333333333,
      138.037333333333,
      138.208,
      138.378666666667,
      138.549333333333,
      138.72,
      138.922666666667,
      139.072,
      139.466666666667,
      139.818666666667,
      139.989333333333,
      140.170666666667,
      140.341333333333,
      140.522666666667,
      140.693333333333,
      140.874666666667,
      141.034666666667,
      141.216,
      141.568,
      141.92,
      142.101333333333,
      142.272,
      142.496,
      142.624,
      142.816,
      142.986666666667,
      143.157333333333,
      143.328,
      143.52,
      143.68,
      143.850666666667,
      144.021333333333,
      144.213333333333,
      144.373333333333,
      144.597333333333,
      144.725333333333,
      144.917333333333,
      145.077333333333,
      145.269333333333,
      145.429333333333,
      145.642666666667,
      145.781333333333,
      145.962666666667,
      146.133333333333,
      146.314666666667,
      146.496,
      146.656,
      146.826666666667,
      147.168,
      147.52,
      147.872,
      148.053333333333,
      148.213333333333,
      148.416,
      148.576,
      148.768,
      148.928,
      149.28,
      149.461333333333,
      149.621333333333,
      149.973333333333,
      150.154666666667,
      150.325333333333,
      150.485333333333,
      150.677333333333,
      150.848,
      151.018666666667,
      151.381333333333,
      151.733333333333,
      151.904,
      152.085333333333,
      152.266666666667,
      152.426666666667,
      152.629333333333,
      152.778666666667,
      153.130666666667,
      153.333333333333,
      153.472,
      153.653333333333,
      153.824,
      154.026666666667,
      154.176,
      154.346666666667,
      154.517333333333,
      154.688,
      154.858666666667,
      155.029333333333,
      155.210666666667,
      155.402666666667,
      155.562666666667,
      155.904,
      156.277333333333,
      156.629333333333,
      156.992,
      157.344,
      157.664,
      158.026666666667,
      158.368,
      158.730666666667,
      159.082666666667,
      159.434666666667,
      159.786666666667,
      160.128,
      160.48,
      160.842666666667,
      161.205333333333,
      161.546666666667,
      161.909333333333,
      162.250666666667,
      162.602666666667,
      162.954666666667,
      163.125333333333,
      163.296,
      163.648,
      163.989333333333,
      164.352,
      164.704,
      165.056,
      165.408,
      165.770666666667,
      167.178666666667,
      167.530666666667,
      167.872,
      168.224,
      168.576,
      168.928,
      169.269333333333,
      169.621333333333,
      169.973333333333,
      170.314666666667,
      170.666666666667,
      171.018666666667,
      171.370666666667,
      171.541333333333,
      171.701333333333,
      171.882666666667,
      172.053333333333,
      172.224,
      172.384,
      172.554666666667,
      172.736,
      173.098666666667,
      173.461333333333,
      173.642666666667,
      173.834666666667,
      173.994666666667,
      174.165333333333,
      174.517333333333,
      174.698666666667,
      174.858666666667,
      175.210666666667,
      175.392,
      175.573333333333,
      175.733333333333,
      175.914666666667,
      176.085333333333,
      176.256,
      176.448,
      176.608,
      176.789333333333,
      176.96,
      177.130666666667,
      177.312,
      177.482666666667,
      177.664,
      177.856,
      178.016,
      178.197333333333,
      178.378666666667,
      178.56,
      178.730666666667,
      178.912,
      179.082666666667,
      179.424,
      179.786666666667,
      179.968,
      180.138666666667,
      180.32,
      180.48,
      180.832,
      181.184,
      181.536,
      181.717333333333,
      181.888,
      182.24,
      182.581333333333,
      182.752,
      182.922666666667,
      183.114666666667,
      183.274666666667,
      183.445333333333,
      183.616,
      183.808,
      183.968,
      184.341333333333,
      184.693333333333,
      184.885333333333,
      185.045333333333,
      185.205333333333,
      185.386666666667,
      185.546666666667,
      185.738666666667,
      185.909333333333,
      186.08,
      186.272,
      186.432,
      186.602666666667,
      186.784,
      186.944,
      187.125333333333,
      187.317333333333,
      187.477333333333,
      187.658666666667,
      187.829333333333,
      188.021333333333,
      188.181333333333,
      188.362666666667,
      188.533333333333,
      188.725333333333,
      188.885333333333,
      189.066666666667,
      189.237333333333,
      189.408,
      189.578666666667,
      189.941333333333,
      190.133333333333,
      190.293333333333,
      190.645333333333,
      190.816,
      190.890666666667,
      190.997333333333,
      191.157333333333,
      191.349333333333,
      191.509333333333,
      191.68,
      192.021333333333,
      192.202666666667,
      192.373333333333,
      192.576,
      192.725333333333,
      192.917333333333,
      193.066666666667,
      193.248,
      193.429333333333,
      193.589333333333,
      193.781333333333,
      193.941333333333,
      194.112,
      194.304,
      194.453333333333,
      194.656,
      194.816,
      195.008,
      195.157333333333,
      195.530666666667,
      195.893333333333,
      196.074666666667,
      196.245333333333,
      196.576,
      196.757333333333,
      196.938666666667,
      197.130666666667,
      197.28,
      197.642666666667,
      197.994666666667,
      198.176,
      198.346666666667,
      198.538666666667,
      198.698666666667,
      199.050666666667,
      199.402666666667,
      199.562666666667,
      199.744,
      200.096,
      200.458666666667,
      200.661333333333,
      200.810666666667,
      201.173333333333,
      201.365333333333,
      201.536,
      201.877333333333,
      202.058666666667,
      202.229333333333,
      202.4,
      202.570666666667,
      202.762666666667,
      202.922666666667,
      203.264,
      203.445333333333,
      203.626666666667,
      203.808,
      203.978666666667,
      204.149333333333,
      204.32,
      204.501333333333,
      204.661333333333,
      204.842666666667,
      205.024,
      205.205333333333,
      205.365333333333,
      205.546666666667,
      205.706666666667,
      205.877333333333,
      206.048,
      206.24,
      206.389333333333,
      206.762666666667,
      207.125333333333,
      207.296,
      207.466666666667,
      207.648,
      207.818666666667,
      208.181333333333,
      208.341333333333,
      208.522666666667,
      208.853333333333,
      209.216,
      209.397333333333,
      209.568,
      209.728,
      209.909333333333,
      210.24,
      210.602666666667,
      210.954666666667,
      211.125333333333,
      211.296,
      211.626666666667,
      212,
      212.341333333333,
      212.533333333333,
      212.704,
      212.885333333333,
      213.056,
      213.418666666667,
      213.6,
      213.930666666667,
      214.101333333333,
      214.464
    ],
    "drum_onset_strengths": [
      0.533100664615631,
      0.564560532569885,
      0.525841176509857,
      0.632400274276733,
      0.599133491516113,
      0.457534044981003,
      0.237858340144157,
      0.0890263840556145,
      0.604185104370117,
      0.416900187730789,
      0.218311905860901,
      0.254392743110657,
      0.213156625628471,
      0.118065789341927,
      0.303154140710831,
      0.560452282428741,
      0.473286181688309,
      0.370619893074036,
      0.6043421626091,
      0.555535614490509,
      0.301280200481415,
      0.509268879890442,
      0.326119482517242,
      0.225573748350143,
      0.474836438894272,
      0.433989942073822,
      0.583044648170471,
      0.437413603067398,
      0.221729725599289,
      0.536053478717804,
      0.65450119972229,
      0.440069675445557,
      0.477132797241211,
      0.419418841600418,
      0.347329527139664,
      0.599836885929108,
      0.193536102771759,
      0.20854914188385,
      0.332710862159729,
      0.588413178920746,
      0.165873900055885,
      0.317042648792267,
      0.291884183883667,
      0.340873420238495,
      0.334955960512161,
      0.191725850105286,
      0.387321829795837,
      0.668777465820312,
      0.467840731143951,
      0.502972066402435,
      0.237959608435631,
      0.378902703523636,
      0.215748220682144,
      0.705119669437408,
      0.158809959888458,
      0.13613785803318,
      0.308449268341064,
      0.648050606250763,
      0.164865791797638,
      0.470947414636612,
      0.179434895515442,
      0.18509729206562,
      0.450356006622314,
      0.291184395551682,
      0.314069896936417,
      0.353123277425766,
      0.336116075515747,
      0.500028789043427,
      0.496447831392288,
      0.252887368202209,
      0.355054646730423,
      0.513260304927826,
      0.428206294775009,
      0.253518611192703,
      0.20518958568573,
      0.622251391410828,
      0.335051506757736,
      0.334790289402008,
      0.162858262658119,
      0.320670276880264,
      0.222174778580666,
      0.562524318695068,
      0.334814459085464,
      0.126400262117386,
      0.422589540481567,
      0.145305663347244,
      0.316877126693726,
      1,
      0.137850806117058,
      0.532171964645386,
      0.12773272395134,
      0.456126570701599,
      0.138388901948929,
      0.253333061933517,
      0.812146365642548,
      0.107843652367592,
      0.488737791776657,
      0.204146951436996,
      0.756719648838043,
      0.134690225124359,
      0.682857573032379,
      0.885522365570068,
      0.119747832417488,
      0.340764701366425,
      0.202227875590324,
      0.489342153072357,
      0.155994430184364,
      0.228812351822853,
      0.325459122657776,
      0.0940810516476631,
      0.550118386745453,
      0.178125992417336,
      0.345174729824066,
      0.125156804919243,
      0.572022914886475,
      0.399646192789078,
      0.169764399528503,
      0.468878597021103,
      0.11159759759903,
      0.503251969814301,
      0.445429801940918,
      0.395697444677353,
      0.574917316436768,
      0.329443722963333,
      0.114389233291149,
      0.293501496315002,
      0.475092858076096,
      0.288568735122681,
      0.451774805784225,
      0.16934235394001,
      0.56447571516037,
      0.180324405431747,
      0.557049691677094,
      0.303717017173767,
      0.836156189441681,
      0.0981603339314461,
      0.467693716287613,
      0.147191241383553,
      0.425725638866425,
      0.217744812369347,
      0.667857706546783,
      0.684362232685089,
      0.152070745825768,
      0.154539287090302,
      0.129192978143692,
      0.171979635953903,
      0.114167407155037,
      0.518536925315857,
      0.667929887771606,
      0.0964926406741142,
      0.188408970832825,
      0.118206009268761,
      0.37195959687233,
      0.171083673834801,
      0.433903515338898,
      0.940482020378113,
      0.250803530216217,
      0.385620951652527,
      0.210016682744026,
      0.751640319824219,
      0.128015115857124,
      0.364762723445892,
      0.481790632009506,
      0.232313513755798,
      0.216411054134369,
      0.501386106014252,
      0.213373616337776,
      0.142964214086533,
      0.749006390571594,
      0.224565953016281,
      0.308111816644669,
      0.803469955921173,
      0.324675887823105,
      0.430578917264938,
      0.163767755031586,
      0.211298629641533,
      0.211054414510727,
      0.570170104503632,
      0.408232659101486,
      0.37126162648201,
      0.227697014808655,
      0.203588634729385,
      0.188168570399284,
      0.116299614310265,
      0.243415623903275,
      0.167823165655136,
      0.148053243756294,
      0.178358197212219,
      0.133076041936874,
      0.432154566049576,
      0.217281773686409,
      0.139420315623283,
      0.744425714015961,
      0.14745220541954,
      0.141149550676346,
      0.178844690322876,
      0.130121767520905,
      0.31706714630127,
      0.206580057740211,
      0.429563999176025,
      0.21592752635479,
      0.245709076523781,
      0.132494419813156,
      0.504423379898071,
      0.132603719830513,
      0.332196652889252,
      0.281940251588821,
      0.598853230476379,
      0.118861399590969,
      0.475668519735336,
      0.109931096434593,
      0.482214450836182,
      0.137031525373459,
      0.31003674864769,
      0.191951021552086,
      0.150645062327385,
      0.180369675159454,
      0.146187096834183,
      0.131051123142242,
      0.145447000861168,
      0.141741588711739,
      0.246289178729057,
      0.174139827489853,
      0.561060547828674,
      0.102207280695438,
      0.288957327604294,
      0.121930330991745,
      0.248925819993019,
      0.343024462461472,
      0.150568723678589,
      0.270405977964401,
      0.101369373500347,
      0.239607363939285,
      0.249269485473633,
      0.204695016145706,
      0.115385726094246,
      0.654874503612518,
      0.120836563408375,
      0.451619386672974,
      0.278722852468491,
      0.261656761169434,
      0.14605039358139,
      0.204685896635056,
      0.147263512015343,
      0.339897930622101,
      0.137054353952408,
      0.606634497642517,
      0.299171805381775,
      0.108760796487331,
      0.107570707798004,
      0.460927665233612,
      0.184381097555161,
      0.473435252904892,
      0.0999220609664917,
      0.722828447818756,
      0.238940879702568,
      0.43422070145607,
      0.10944639146328,
      0.147416263818741,
      0.14026828110218,
      0.26968714594841,
      0.32002067565918,
      0.354132205247879,
      0.146546483039856,
      0.122030481696129,
      0.358098536729813,
      0.221460312604904,
      0.178669914603233,
      0.129898890852928,
      0.45236611366272,
      0.137964740395546,
      0.162407085299492,
      0.128947019577026,
      0.145996570587158,
      0.109997741878033,
      0.131931275129318,
      0.166313990950584,
      0.221622079610825,
      0.316984117031097,
      0.128534927964211,
      0.221464067697525,
      0.116034187376499,
      0.419203013181686,
      0.109919838607311,
      0.615138232707977,
      0.300737619400024,
      0.197968348860741,
      0.114661403000355,
      0.208463713526726,
      0.116349272429943,
      0.229794770479202,
      0.487410664558411,
      0.221703514456749,
      0.102191388607025,
      0.39623361825943,
      0.460617035627365,
      0.428105115890503,
      0.180290341377258,
      0.6855149269104,
      0.354410976171494,
      0.470956891775131,
      0.29912656545639,
      0.382383346557617,
      0.167112872004509,
      0.571801841259003,
      0.315669417381287,
      0.303215354681015,
      0.109603010118008,
      0.358625620603561,
      0.122987546026707,
      0.206188857555389,
      0.192836180329323,
      0.594671070575714,
      0.154302850365639,
      0.232488438487053,
      0.134633988142014,
      0.31056147813797,
      0.223298445343971,
      0.325137704610825,
      0.189782038331032,
      0.71343857049942,
      0.10889808088541,
      0.548630595207214,
      0.173838689923286,
      0.192783713340759,
      0.628581523895264,
      0.143614262342453,
      0.44582211971283,
      0.108954504132271,
      0.511600077152252,
      0.128658384084702,
      0.378778398036957,
      0.148366257548332,
      0.415231168270111,
      0.186934933066368,
      0.306757897138596,
      0.125298172235489,
      0.59504508972168,
      0.144136324524879,
      0.489566624164581,
      0.192197918891907,
      0.202497184276581,
      0.12484423071146,
      0.357219070196152,
      0.125057518482208,
      0.911100506782532,
      0.144010961055756,
      0.26993253827095,
      0.171510756015778,
      0.263420164585114,
      0.339598119258881,
      0.408728122711182,
      0.904380261898041,
      0.435817927122116,
      0.141182780265808,
      0.295511066913605,
      0.629957795143127,
      0.329651266336441,
      0.625904440879822,
      0.103499971330166,
      0.341747879981995,
      0.613135635852814,
      0.506736993789673,
      0.166307762265205,
      0.114630036056042,
      0.71085923910141,
      0.221223220229149,
      0.44034606218338,
      0.162261292338371,
      0.415229141712189,
      0.158114612102509,
      0.284744143486023,
      0.107552319765091,
      0.79912930727005,
      0.178416073322296,
      0.123085379600525,
      0.269746005535126,
      0.167695850133896,
      0.319394946098328,
      0.107531011104584,
      0.690391063690186,
      0.100307427346706,
      0.464079529047012,
      0.115077115595341,
      0.547911763191223,
      0.214875116944313,
      0.594034731388092,
      0.164257422089577,
      0.368138521909714,
      0.24865098297596,
      0.118707992136478,
      0.105858266353607,
      0.219148606061935,
      0.229116752743721,
      0.408260434865952,
      0.173933357000351,
      0.24715057015419,
      0.12336927652359,
      0.448606848716736,
      0.241550028324127,
      0.244137197732925,
      0.350210636854172,
      0.147932156920433,
      0.196179747581482,
      0.301075726747513,
      0.517321348190308,
      0.193219065666199,
      0.287328988313675,
      0.199808552861214,
      0.187565594911575,
      0.113686986267567,
      0.31528913974762,
      0.320409417152405,
      0.215944409370422,
      0.201889961957932,
      0.437864392995834,
      0.195346862077713,
      0.235342428088188,
      0.121095396578312,
      0.673697412014008,
      0.253031760454178,
      0.138352781534195,
      0.41065514087677,
      0.170983135700226,
      0.166821509599686,
      0.139482989907265,
      0.310981631278992,
      0.465643286705017,
      0.33027720451355,
      0.124925456941128,
      0.375388026237488,
      0.360625326633453,
      0.214608132839203,
      0.170990005135536,
      0.361535966396332,
      0.12890388071537,
      0.203746199607849,
      0.109052546322346,
      0.28849396109581,
      0.343813806772232,
      0.418905109167099,
      0.101910330355167,
      0.263823211193085,
      0.122072488069534,
      0.261739283800125,
      0.358629792928696,
      0.215700596570969,
      0.185700610280037,
      0.342244774103165,
      0.31378298997879,
      0.12786965072155,
      0.39664301276207,
      0.169463872909546,
      0.279479891061783,
      0.189855083823204,
      0.261503159999847,
      0.313009679317474,
      0.165349870920181,
      0.146913230419159,
      0.129172548651695,
      0.448414266109467,
      0.117462016642094,
      0.311036020517349,
      0.11571391671896,
      0.290507227182388,
      0.165873616933823,
      0.281305581331253,
      0.303154170513153,
      0.525416016578674,
      0.113800644874573,
      0.327030509710312,
      0.206851556897163,
      0.31736171245575,
      0.327796012163162,
      0.235279932618141,
      0.3800168633461,
      0.147104442119598,
      0.121822871267796,
      0.179493725299835,
      0.213013634085655,
      0.616886019706726,
      0.150921702384949,
      0.43162214756012,
      0.113304734230042,
      0.256861746311188,
      0.136036172509193,
      0.245999231934547,
      0.322731167078018,
      0.334558486938477,
      0.0968955755233765,
      0.217740371823311,
      0.140783071517944,
      0.316207498311996,
      0.14198824763298,
      0.404035925865173,
      0.379325866699219,
      0.589754521846771,
      0.264288008213043,
      0.112615697085857,
      0.29418021440506,
      0.230981260538101,
      0.364098161458969,
      0.174064353108406,
      0.364592552185059,
      0.125458627939224,
      0.211655855178833,
      0.138080134987831,
      0.3675217628479,
      0.251071631908417,
      0.129071176052094,
      0.166874930262566,
      0.549301326274872,
      0.453650116920471,
      0.156876057386398,
      0.193486467003822,
      0.110181137919426,
      0.179847210645676,
      0.533247470855713,
      0.248714655637741,
      0.423075616359711,
      0.467358887195587,
      0.149045288562775,
      0.559170424938202,
      0.394737750291824,
      0.195738255977631,
      0.278925955295563,
      0.513087093830109,
      0.212879613041878,
      0.211546897888184,
      0.142795518040657,
      0.206293851137161,
      0.149686723947525,
      0.210731580853462,
      0.155578956007957,
      0.326645016670227,
      0.280238509178162,
      0.306357890367508,
      0.113901861011982,
      0.206419721245766,
      0.177705958485603,
      0.10165860503912,
      0.246413588523865,
      0.169432431459427,
      0.776833772659302,
      0.405824691057205,
      0.177765280008316,
      0.190111458301544,
      0.207329884171486,
      0.387315809726715,
      0.1798335313797,
      0.429112136363983,
      0.308012843132019,
      0.232034981250763,
      0.190749704837799,
      0.111834809184074,
      0.260021686553955,
      0.145997941493988,
      0.18148872256279,
      0.20634537935257,
      0.113168895244598,
      0.19007682800293,
      0.122803010046482,
      0.41425421833992,
      0.17858162522316,
      0.556503117084503,
      0.259833663702011,
      0.325124979019165,
      0.623305678367615,
      0.297454059123993,
      0.353062719106674,
      0.230849519371986,
      0.604717910289764,
      0.311118066310883,
      0.417630940675735,
      0.268236666917801,
      0.332658529281616,
      0.293167412281036,
      0.182184308767319,
      0.299244195222855,
      0.12972591817379,
      0.158595025539398,
      0.112964779138565,
      0.210121661424637,
      0.132867753505707,
      0.282320737838745,
      0.243562236428261,
      0.259009152650833,
      0.648607552051544,
      0.26044425368309,
      0.259594231843948,
      0.2093525826931,
      0.146846741437912,
      0.204250261187553,
      0.247812435030937,
      0.16060271859169,
      0.147582933306694,
      0.309538453817368,
      0.291122257709503,
      0.269681513309479,
      0.169227346777916,
      0.203935876488686,
      0.153829917311668,
      0.50459349155426,
      0.271115601062775,
      0.21317920088768,
      0.262827396392822,
      0.129267752170563,
      0.256746530532837,
      0.312501549720764,
      0.273243457078934,
      0.28220334649086,
      0.369323045015335,
      0.230873376131058,
      0.106474749743938,
      0.202125504612923,
      0.129717007279396,
      0.366161078214645,
      0.11000969260931,
      0.522293567657471,
      0.359632760286331,
      0.389650493860245,
      0.182503268122673,
      0.13593764603138,
      0.182399645447731,
      0.293110907077789,
      0.294602990150452,
      0.735507071018219,
      0.217903450131416,
      0.13545124232769,
      0.140006989240646,
      0.454957515001297,
      0.129123359918594,
      0.255766421556473,
      0.209917172789574,
      0.776500582695007,
      0.22013583779335,
      0.415999412536621,
      0.12957738339901,
      0.411949038505554,
      0.122440442442894,
      0.211114168167114,
      0.125490263104439,
      0.386068224906921,
      0.139804556965828,
      0.425141572952271,
      0.167643949389458,
      0.335979104042053,
      0.234533369541168,
      0.642250418663025,
      0.110506743192673,
      0.461106091737747,
      0.118607543408871,
      0.496835023164749,
      0.115726619958878,
      0.164672434329987,
      0.15064249932766,
      0.22175794839859,
      0.116030476987362,
      0.305196970701218,
      0.136187568306923,
      0.425946295261383,
      0.151081338524818,
      0.279944866895676,
      0.296921789646149,
      0.300119400024414,
      0.342360287904739,
      0.149731248617172,
      0.293487548828125,
      0.294483870267868,
      0.144185796380043,
      0.167692244052887,
      0.221693053841591,
      0.279864400625229,
      0.531750321388245,
      0.199614033102989,
      0.244080036878586,
      0.423283070325851,
      0.266108483076096,
      0.446947157382965,
      0.12702439725399,
      0.221143215894699,
      0.101794332265854,
      0.389214098453522,
      0.741807460784912,
      0.114732228219509,
      0.279732495546341,
      0.18580687046051,
      0.23560705780983,
      0.301897138357162,
      0.725561738014221,
      0.12138270586729,
      0.2800472676754,
      0.453577071428299,
      0.119951657950878,
      0.123151488602161,
      0.269473791122437,
      0.15694235265255,
      0.136433452367783,
      0.359211385250092,
      0.138002961874008,
      0.234062522649765,
      0.484432816505432,
      0.192237481474876,
      0.269172191619873,
      0.545107364654541,
      0.276394218206406,
      0.520873367786407,
      0.121073469519615,
      0.221574544906616,
      0.219036787748337,
      0.396535336971283,
      0.322001665830612,
      0.131358742713928,
      0.425975978374481,
      0.353918820619583,
      0.63211315870285,
      0.61250627040863,
      0.400427281856537,
      0.189539790153503,
      0.68131697177887,
      0.237658575177193,
      0.565729320049286,
      0.335996329784393,
      0.144330307841301,
      0.327738255262375,
      0.328326880931854,
      0.411343097686768,
      0.450058132410049,
      0.100910238921642,
      0.271094709634781,
      0.465771913528442,
      0.226066142320633,
      0.420724123716354,
      0.23679207265377,
      0.139476552605629,
      0.165609985589981,
      0.655838072299957,
      0.171468019485474,
      0.190163031220436,
      0.213254347443581,
      0.251703888177872,
      0.230999439954758,
      0.322110146284103,
      0.189746722579002,
      0.470969468355179,
      0.375555276870728,
      0.151383385062218,
      0.272067874670029,
      0.44350877404213,
      0.390367448329926,
      0.116420522332191,
      0.153544053435326,
      0.46353554725647,
      0.478350132703781,
      0.357352375984192,
      0.200106278061867,
      0.21755850315094,
      0.238541454076767,
      0.196785107254982,
      0.155132621526718,
      0.120270147919655,
      0.193647354841232,
      0.218531385064125,
      0.33690819144249,
      0.265943944454193,
      0.31177419424057,
      0.193317800760269,
      0.345252186059952,
      0.128000095486641,
      0.550913274288177,
      0.118969410657883,
      0.365762889385223,
      0.148488566279411,
      0.391624480485916,
      0.23371085524559,
      0.146013617515564,
      0.145763427019119,
      0.266208559274673,
      0.184415176510811,
      0.157870054244995,
      0.161464616656303,
      0.320754617452621,
      0.15685510635376,
      0.430096954107285,
      0.138206616044044,
      0.467447429895401,
      0.121074624359608,
      0.266226321458817,
      0.24541449546814,
      0.281782329082489,
      0.135553792119026,
      0.32134336233139,
      0.13511934876442,
      0.171175420284271,
      0.28876730799675,
      0.17715884745121,
      0.277885019779205,
      0.595561444759369,
      0.277713030576706,
      0.303449898958206,
      0.374367535114288,
      0.827081680297852,
      0.213839277625084,
      0.344341993331909,
      0.572027921676636,
      0.226992025971413,
      0.208620473742485,
      0.12571969628334,
      0.163988426327705,
      0.144188344478607,
      0.413408696651459,
      0.134504377841949,
      0.4043328166008,
      0.160546004772186,
      0.215103909373283,
      0.133423298597336,
      0.475567042827606,
      0.119120106101036,
      0.325096875429153,
      0.266350716352463,
      0.31908968091011,
      0.167527168989182,
      0.320717722177505,
      0.158321052789688,
      0.463362038135529,
      0.186854347586632,
      0.121034167706966,
      0.280108988285065,
      0.188325136899948,
      0.108684182167053,
      0.689135849475861,
      0.12114542722702,
      0.236073642969131,
      0.198787316679955,
      0.248190224170685,
      0.246719747781754,
      0.447199106216431,
      0.572778761386871,
      0.219180762767792,
      0.2342908680439,
      0.263895094394684,
      0.145618438720703,
      0.223724290728569,
      0.417356789112091,
      0.266544163227081,
      0.237120881676674,
      0.14361210167408,
      0.220451638102531,
      0.177546933293343,
      0.1695816218853,
      0.118630833923817,
      0.587360560894012,
      0.155824929475784,
      0.158410087227821,
      0.288332790136337,
      0.173616379499435,
      0.189630880951881,
      0.109204530715942,
      0.242643296718597,
      0.175410285592079,
      0.173774287104607,
      0.261509478092194,
      0.241258963942528,
      0.148221760988235,
      0.123123854398727,
      0.171371474862099,
      0.164206311106682,
      0.144510567188263,
      0.238638311624527,
      0.21420057117939,
      0.381651639938354,
      0.235741376876831,
      0.560910165309906,
      0.184695079922676,
      0.164286568760872,
      0.143173605203629,
      0.119197428226471,
      0.123300530016422,
      0.254431366920471,
      0.233563989400864,
      0.192037925124168,
      0.211946323513985,
      0.195583716034889,
      0.167461976408958,
      0.234313026070595,
      0.419723957777023,
      0.286575317382812,
      0.140923053026199,
      0.169969201087952,
      0.493044018745422,
      0.186536893248558,
      0.438523560762405,
      0.113761499524117,
      0.21250869333744,
      0.121548794209957,
      0.323159337043762,
      0.571292221546173,
      0.446320414543152,
      0.125228092074394,
      0.220066502690315,
      0.432430326938629,
      0.131200537085533,
      0.224951148033142,
      0.139956653118134,
      0.129813387989998,
      0.478550434112549,
      0.187759056687355,
      0.168770611286163,
      0.559147417545319,
      0.158603131771088,
      0.142102017998695,
      0.109653756022453,
      0.124446533620358,
      0.225335106253624,
      0.124907560646534,
      0.185770973563194,
      0.317506045103073,
      0.108124867081642,
      0.125548109412193,
      0.20568436384201,
      0.40912076830864,
      0.135417923331261,
      0.13213138282299,
      0.358979076147079,
      0.588706076145172,
      0.261853188276291,
      0.140018492937088,
      0.278279364109039,
      0.311033815145493,
      0.191683053970337,
      0.17600753903389,
      0.326594561338425,
      0.251384764909744,
      0.224298000335693,
      0.116622813045979,
      0.168824374675751,
      0.2990862429142,
      0.478736102581024,
      0.350411057472229,
      0.234236180782318,
      0.130175724625587,
      0.238422214984894,
      0.461979925632477,
      0.196596711874008,
      0.283610373735428,
      0.254739850759506,
      0.236029177904129,
      0.0983664244413376,
      0.22724024951458,
      0.20923838019371,
      0.341249585151672,
      0.167108803987503,
      0.168721288442612,
      0.0985370501875877,
      0.145058438181877
    ],
    "drum_pattern_type": "irregular",
    "drum_pattern_confidence": 0.514020012457098,
    "analysis_created_at": "2026-03-22T16:20:56.265477+00:00",
    "analysis_updated_at": "2026-03-22T16:20:57.230123+00:00",
    "kick_timestamps": [
      0.64,
      2.05866666666667,
      2.41066666666667,
      3.47733333333333,
      4.72533333333333,
      4.88533333333333,
      5.23733333333333,
      6.29333333333333,
      7.69066666666667,
      8.04266666666667,
      9.09866666666667,
      10.496,
      11.1893333333333,
      11.8933333333333,
      13.312,
      14.7093333333333,
      16.1173333333333,
      16.4586666666667,
      17.5146666666667,
      18.9013333333333,
      19.264,
      20.2986666666667,
      20.6506666666667,
      21.3546666666667,
      22.0586666666667,
      22.2506666666667,
      22.4,
      22.5706666666667,
      22.752,
      22.912,
      23.0826666666667,
      23.264,
      23.4346666666667,
      23.5946666666667,
      23.776,
      23.9466666666667,
      24.1173333333333,
      24.288,
      24.4586666666667,
      24.6293333333333,
      24.8,
      24.9706666666667,
      25.1413333333333,
      25.312,
      25.472,
      25.6426666666667,
      25.8133333333333,
      25.984,
      26.144,
      26.3146666666667,
      26.496,
      26.656,
      26.8053333333333,
      27.0186666666667,
      27.1786666666667,
      27.5306666666667,
      27.8826666666667,
      28.4053333333333,
      28.576,
      28.7573333333333,
      28.928,
      29.2906666666667,
      29.472,
      29.8026666666667,
      29.9733333333333,
      30.144,
      30.3146666666667,
      30.6666666666667,
      30.8586666666667,
      31.1786666666667,
      31.3493333333333,
      31.5093333333333,
      31.6906666666667,
      32.224,
      32.544,
      32.7146666666667,
      32.896,
      33.408,
      33.9306666666667,
      34.0906666666667,
      34.272,
      34.4426666666667,
      34.7946666666667,
      34.9973333333333,
      35.3066666666667,
      35.488,
      36.0213333333333,
      36.192,
      36.736,
      36.8853333333333,
      37.4293333333333,
      37.5893333333333,
      37.9306666666667,
      38.1013333333333,
      38.2933333333333,
      38.6453333333333,
      39.008,
      39.1893333333333,
      39.5413333333333,
      39.6906666666667,
      39.872,
      40.0426666666667,
      40.3946666666667,
      40.5866666666667,
      40.9173333333333,
      41.0773333333333,
      41.2586666666667,
      41.4186666666667,
      41.7813333333333,
      42.304,
      42.464,
      42.6453333333333,
      42.816,
      43.168,
      43.3386666666667,
      43.5093333333333,
      43.6906666666667,
      43.8613333333333,
      44.3946666666667,
      44.5653333333333,
      45.1093333333333,
      45.2693333333333,
      45.792,
      45.9733333333333,
      46.4746666666667,
      46.6666666666667,
      47.2,
      47.8933333333333,
      48.0746666666667,
      48.4266666666667,
      48.5973333333333,
      48.7573333333333,
      48.928,
      49.0986666666667,
      49.2906666666667,
      49.4506666666667,
      49.824,
      50.368,
      50.5173333333333,
      50.88,
      51.4133333333333,
      51.584,
      51.936,
      52.1066666666667,
      52.2773333333333,
      52.4693333333333,
      52.6293333333333,
      52.8533333333333,
      52.9813333333333,
      53.1626666666667,
      53.3333333333333,
      53.5253333333333,
      53.6853333333333,
      53.856,
      54.2186666666667,
      54.3893333333333,
      54.7306666666667,
      54.9546666666667,
      55.0826666666667,
      55.2533333333333,
      55.424,
      55.6053333333333,
      55.968,
      56.128,
      56.32,
      56.4693333333333,
      56.6826666666667,
      56.8426666666667,
      57.0133333333333,
      57.184,
      57.3653333333333,
      57.536,
      57.7066666666667,
      57.8773333333333,
      58.2293333333333,
      58.4,
      58.5706666666667,
      58.7733333333333,
      58.9333333333333,
      59.1146666666667,
      59.2746666666667,
      59.488,
      59.6373333333333,
      59.7973333333333,
      59.968,
      60.1493333333333,
      60.32,
      60.512,
      60.6613333333333,
      60.8533333333333,
      61.024,
      61.1946666666667,
      61.3653333333333,
      61.728,
      61.8986666666667,
      62.08,
      62.2613333333333,
      62.432,
      62.6346666666667,
      62.784,
      62.9653333333333,
      63.1466666666667,
      63.3173333333333,
      63.4773333333333,
      63.68,
      63.84,
      64.0213333333333,
      64.7146666666667,
      64.8853333333333,
      65.088,
      65.2373333333333,
      65.472,
      65.7813333333333,
      65.952,
      66.112,
      66.2933333333333,
      66.5173333333333,
      66.656,
      66.8373333333333,
      67.3813333333333,
      67.552,
      67.712,
      67.904,
      68.064,
      68.288,
      68.4266666666667,
      68.608,
      68.768,
      68.9386666666667,
      69.12,
      69.3333333333333,
      69.664,
      70.1653333333333,
      70.3573333333333,
      70.528,
      70.7306666666667,
      70.848,
      71.0506666666667,
      71.232,
      71.4026666666667,
      71.5733333333333,
      71.7653333333333,
      71.9253333333333,
      72.288,
      72.6506666666667,
      73.1626666666667,
      73.3226666666667,
      73.5253333333333,
      73.696,
      74.24,
      74.5813333333333,
      74.7413333333333,
      74.9226666666667,
      75.0933333333333,
      75.3173333333333,
      75.4453333333333,
      75.968,
      76.1386666666667,
      76.3093333333333,
      76.48,
      76.7146666666667,
      77.344,
      77.5146666666667,
      77.696,
      77.856,
      78.08,
      78.2186666666667,
      78.4213333333333,
      78.7306666666667,
      78.9013333333333,
      79.072,
      79.2426666666667,
      79.4666666666667,
      79.6053333333333,
      79.7866666666667,
      80.128,
      80.288,
      80.832,
      81.0026666666667,
      81.5253333333333,
      81.6853333333333,
      82.0586666666667,
      82.2293333333333,
      82.4,
      82.5813333333333,
      82.7413333333333,
      82.912,
      83.0933333333333,
      83.4453333333333,
      83.6586666666667,
      83.808,
      83.9893333333333,
      84.3306666666667,
      84.5013333333333,
      84.6826666666667,
      84.8533333333333,
      85.0773333333333,
      85.888,
      86.0906666666667,
      86.24,
      86.464,
      86.6026666666667,
      86.784,
      87.136,
      87.296,
      87.4773333333333,
      87.648,
      87.8613333333333,
      88.192,
      88.512,
      88.6826666666667,
      89.216,
      89.9306666666667,
      90.0906666666667,
      90.624,
      91.3386666666667,
      91.488,
      92.032,
      92.7146666666667,
      92.896,
      93.088,
      93.248,
      93.4293333333333,
      93.6,
      93.76,
      93.9306666666667,
      94.1013333333333,
      94.272,
      94.6346666666667,
      94.9973333333333,
      95.1786666666667,
      95.3386666666667,
      95.5093333333333,
      95.6906666666667,
      95.8826666666667,
      96.0426666666667,
      96.2133333333333,
      96.3946666666667,
      96.7466666666667,
      96.9066666666667,
      97.088,
      97.6106666666667,
      98.1333333333333,
      98.4533333333333,
      98.656,
      98.9973333333333,
      99.1573333333333,
      99.36,
      99.488,
      99.7333333333333,
      99.8506666666667,
      100.202666666667,
      100.384,
      100.906666666667,
      101.237333333333,
      101.44,
      101.6,
      101.76,
      101.930666666667,
      102.282666666667,
      102.634666666667,
      102.986666666667,
      103.157333333333,
      103.690666666667,
      103.914666666667,
      104.032,
      104.384,
      104.554666666667,
      104.906666666667,
      105.269333333333,
      105.418666666667,
      105.781333333333,
      106.325333333333,
      106.474666666667,
      106.816,
      106.986666666667,
      107.178666666667,
      107.349333333333,
      107.530666666667,
      108.042666666667,
      108.213333333333,
      108.416,
      108.576,
      108.768,
      109.461333333333,
      109.621333333333,
      109.802666666667,
      110.154666666667,
      110.325333333333,
      110.666666666667,
      111.018666666667,
      111.381333333333,
      111.562666666667,
      112.085333333333,
      112.245333333333,
      112.416,
      112.597333333333,
      112.768,
      113.290666666667,
      113.461333333333,
      113.813333333333,
      114.325333333333,
      114.698666666667,
      114.837333333333,
      115.018666666667,
      115.2,
      115.370666666667,
      115.541333333333,
      115.722666666667,
      115.882666666667,
      116.064,
      116.224,
      116.426666666667,
      116.597333333333,
      116.970666666667,
      117.504,
      117.856,
      118.026666666667,
      118.229333333333,
      118.56,
      118.730666666667,
      118.922666666667,
      119.061333333333,
      119.424,
      119.637333333333,
      119.957333333333,
      120.138666666667,
      120.490666666667,
      120.650666666667,
      120.821333333333,
      121.013333333333,
      121.184,
      121.717333333333,
      121.888,
      122.048,
      122.218666666667,
      122.410666666667,
      122.581333333333,
      122.752,
      122.922666666667,
      123.285333333333,
      123.466666666667,
      123.616,
      123.797333333333,
      123.989333333333,
      124.16,
      124.330666666667,
      124.682666666667,
      124.874666666667,
      125.034666666667,
      125.546666666667,
      125.717333333333,
      126.261333333333,
      126.442666666667,
      126.805333333333,
      126.976,
      127.146666666667,
      127.317333333333,
      127.488,
      127.68,
      127.829333333333,
      128.224,
      128.586666666667,
      128.768,
      129.12,
      129.301333333333,
      129.653333333333,
      129.813333333333,
      129.994666666667,
      130.336,
      130.688,
      131.050666666667,
      131.221333333333,
      131.392,
      131.754666666667,
      131.914666666667,
      132.096,
      132.277333333333,
      132.629333333333,
      133.322666666667,
      133.493333333333,
      133.845333333333,
      134.197333333333,
      134.538666666667,
      134.773333333333,
      134.890666666667,
      135.242666666667,
      135.584,
      135.936,
      136.288,
      136.629333333333,
      136.853333333333,
      136.981333333333,
      137.333333333333,
      137.685333333333,
      137.877333333333,
      138.037333333333,
      138.208,
      138.378666666667,
      138.549333333333,
      138.72,
      138.922666666667,
      139.072,
      139.466666666667,
      139.818666666667,
      139.989333333333,
      140.170666666667,
      140.341333333333,
      140.522666666667,
      140.693333333333,
      140.874666666667,
      141.034666666667,
      141.216,
      141.568,
      141.92,
      142.101333333333,
      142.272,
      142.496,
      142.816,
      142.986666666667,
      143.157333333333,
      143.328,
      143.52,
      143.850666666667,
      144.021333333333,
      144.213333333333,
      144.373333333333,
      144.725333333333,
      144.917333333333,
      145.077333333333,
      145.269333333333,
      145.642666666667,
      145.781333333333,
      145.962666666667,
      146.133333333333,
      146.314666666667,
      146.496,
      146.656,
      147.168,
      147.52,
      147.872,
      148.053333333333,
      148.416,
      148.768,
      148.928,
      149.461333333333,
      149.973333333333,
      150.154666666667,
      150.325333333333,
      150.848,
      151.018666666667,
      151.733333333333,
      151.904,
      152.085333333333,
      152.266666666667,
      152.426666666667,
      152.629333333333,
      153.130666666667,
      153.333333333333,
      153.653333333333,
      154.176,
      154.346666666667,
      154.517333333333,
      154.688,
      154.858666666667,
      155.029333333333,
      155.210666666667,
      155.402666666667,
      155.562666666667,
      155.904,
      156.277333333333,
      156.629333333333,
      156.992,
      157.344,
      157.664,
      158.026666666667,
      158.368,
      158.730666666667,
      159.082666666667,
      159.434666666667,
      159.786666666667,
      160.128,
      160.48,
      160.842666666667,
      161.205333333333,
      161.546666666667,
      161.909333333333,
      162.250666666667,
      162.602666666667,
      162.954666666667,
      163.125333333333,
      163.296,
      163.648,
      163.989333333333,
      164.352,
      164.704,
      165.056,
      165.408,
      165.770666666667,
      167.178666666667,
      167.530666666667,
      167.872,
      168.224,
      168.576,
      168.928,
      169.269333333333,
      169.621333333333,
      169.973333333333,
      170.666666666667,
      171.018666666667,
      171.370666666667,
      171.541333333333,
      171.882666666667,
      172.053333333333,
      172.224,
      172.384,
      172.554666666667,
      172.736,
      173.098666666667,
      173.461333333333,
      173.642666666667,
      173.994666666667,
      174.165333333333,
      174.698666666667,
      174.858666666667,
      175.210666666667,
      175.392,
      175.573333333333,
      175.733333333333,
      176.085333333333,
      176.448,
      176.608,
      176.789333333333,
      176.96,
      177.130666666667,
      177.482666666667,
      177.856,
      178.016,
      178.197333333333,
      178.378666666667,
      178.56,
      178.912,
      179.082666666667,
      179.424,
      179.786666666667,
      179.968,
      180.32,
      180.832,
      181.184,
      181.717333333333,
      181.888,
      182.24,
      182.581333333333,
      182.752,
      182.922666666667,
      183.114666666667,
      183.445333333333,
      183.616,
      183.808,
      183.968,
      184.341333333333,
      184.693333333333,
      184.885333333333,
      185.045333333333,
      185.205333333333,
      185.386666666667,
      185.546666666667,
      185.909333333333,
      186.272,
      186.602666666667,
      186.784,
      186.944,
      187.317333333333,
      187.658666666667,
      187.829333333333,
      188.021333333333,
      188.181333333333,
      188.362666666667,
      188.725333333333,
      188.885333333333,
      189.066666666667,
      189.237333333333,
      189.408,
      189.578666666667,
      189.941333333333,
      190.133333333333,
      190.293333333333,
      190.645333333333,
      190.816,
      190.890666666667,
      190.997333333333,
      191.157333333333,
      191.349333333333,
      191.509333333333,
      191.68,
      192.021333333333,
      192.202666666667,
      192.373333333333,
      192.576,
      192.917333333333,
      193.066666666667,
      193.248,
      193.429333333333,
      193.589333333333,
      193.781333333333,
      193.941333333333,
      194.112,
      194.304,
      194.453333333333,
      194.656,
      194.816,
      195.008,
      195.157333333333,
      195.530666666667,
      195.893333333333,
      196.074666666667,
      196.245333333333,
      196.576,
      196.757333333333,
      197.130666666667,
      197.28,
      197.642666666667,
      197.994666666667,
      198.176,
      198.346666666667,
      198.538666666667,
      198.698666666667,
      199.050666666667,
      199.562666666667,
      199.744,
      200.096,
      200.458666666667,
      200.661333333333,
      200.810666666667,
      201.365333333333,
      201.536,
      201.877333333333,
      202.058666666667,
      202.229333333333,
      202.4,
      202.762666666667,
      203.264,
      203.445333333333,
      203.808,
      203.978666666667,
      204.149333333333,
      204.32,
      204.501333333333,
      204.661333333333,
      204.842666666667,
      205.205333333333,
      205.365333333333,
      205.546666666667,
      205.706666666667,
      205.877333333333,
      206.048,
      206.24,
      206.389333333333,
      206.762666666667,
      207.296,
      207.648,
      207.818666666667,
      208.341333333333,
      208.522666666667,
      208.853333333333,
      209.216,
      209.397333333333,
      209.728,
      209.909333333333,
      210.24,
      210.602666666667,
      211.125333333333,
      211.296,
      211.626666666667,
      212,
      212.341333333333,
      212.533333333333,
      212.885333333333,
      213.056,
      213.418666666667,
      213.6,
      213.930666666667,
      214.464
    ],
    "snare_timestamps": [
      21.7066666666667,
      32.032,
      33.6,
      37.248,
      47.36,
      50.176,
      55.7653333333333,
      64.192,
      65.6,
      67.008,
      69.824,
      74.048,
      76.832,
      85.216,
      88,
      89.3866666666667,
      90.7946666666667,
      92.192,
      97.7706666666667,
      100.544,
      103.328,
      103.562666666667,
      105.077333333333,
      106.133333333333,
      108.928,
      111.712,
      113.109333333333,
      114.496,
      117.322666666667,
      121.525333333333,
      132.789333333333,
      142.624,
      145.429333333333,
      146.826666666667,
      148.213333333333,
      149.621333333333,
      153.824,
      170.314666666667,
      171.701333333333,
      176.256,
      177.664,
      180.48,
      186.08,
      187.477333333333,
      188.533333333333,
      192.725333333333,
      202.922666666667,
      207.125333333333,
      214.101333333333
    ],
    "hihat_timestamps": [
      1.344,
      2.784,
      4.192,
      5.6,
      5.792,
      5.952,
      6.144,
      7.008,
      8.40533333333333,
      9.792,
      10.848,
      11.552,
      12.6293333333333,
      12.9706666666667,
      13.152,
      14.016,
      15.424,
      16.832,
      16.992,
      17.1626666666667,
      17.344,
      18.2186666666667,
      19.616,
      21.0026666666667,
      28.2346666666667,
      29.632,
      31.008,
      32.3733333333333,
      33.056,
      33.76,
      35.1466666666667,
      35.8506666666667,
      36.544,
      37.792,
      39.36,
      40.736,
      41.9733333333333,
      42.1226666666667,
      44.224,
      44.928,
      45.632,
      46.3146666666667,
      47.0293333333333,
      47.7333333333333,
      51.2426666666667,
      54.0373333333333,
      54.5813333333333,
      61.9413333333333,
      64.544,
      69.472,
      70.0373333333333,
      72.8533333333333,
      73.0026666666667,
      73.9093333333333,
      74.4,
      75.7866666666667,
      77.0346666666667,
      77.1733333333333,
      78.5706666666667,
      79.9466666666667,
      80.6506666666667,
      81.3546666666667,
      84.16,
      85.5466666666667,
      85.7386666666667,
      86.9546666666667,
      88.3413333333333,
      89.056,
      89.7493333333333,
      91.1573333333333,
      91.8613333333333,
      92.5546666666667,
      97.44,
      98.304,
      98.816,
      104.256,
      104.736,
      106.656,
      107.733333333333,
      107.882666666667,
      109.141333333333,
      109.28,
      109.984,
      110.901333333333,
      114.165333333333,
      117.685333333333,
      118.389333333333,
      119.786666666667,
      128.949333333333,
      132.448,
      133.141333333333,
      143.68,
      144.597333333333,
      148.576,
      149.28,
      150.485333333333,
      150.677333333333,
      151.381333333333,
      152.778666666667,
      153.472,
      154.026666666667,
      173.834666666667,
      174.517333333333,
      175.914666666667,
      177.312,
      178.730666666667,
      180.138666666667,
      181.536,
      183.274666666667,
      185.738666666667,
      186.432,
      187.125333333333,
      196.938666666667,
      199.402666666667,
      201.173333333333,
      202.570666666667,
      203.626666666667,
      205.024,
      207.466666666667,
      208.181333333333,
      209.568,
      210.954666666667,
      212.704
    ]
  },
  "tier2": {
    "motif_uniqueness": 0.72,
    "structural_predictability": 0.76,
    "genre_conformity_score": 0.61,
    "innovation_score": 0.14,
    "signal_entropy": 0.21,
    "hook_density": 0.67,
    "hook_strength": 0.74,
    "emotional_balance": 0.38,
    "narrative_curvature": 0.44,
    "visual_brightness_curve": [
      0,
      0.850001287460327,
      0.850036710500717,
      0.850003290176392,
      0.850000402331352,
      0.850062808394432,
      0.85001206099987,
      0.850000312924385,
      0.850006553530693,
      0.850001010298729,
      0.850005766749382,
      0.305568122929062,
      0.0584649668730054,
      0.850064408779144,
      0.850003826618195,
      0.850001001358032,
      0.850036755204201,
      0.850022754073143,
      0.349933588124768,
      0.850030156970024,
      0.850002154707909,
      0.850000464916229,
      0.850013348460197,
      0.85002336204052,
      0.850005194544792,
      0.760610683791039,
      0.663048705117332,
      0.850017291307449,
      0.850006633996964,
      0.850001573562622,
      0.85002039372921,
      0.850000500679016,
      0.85000171661377,
      0.850089085102081,
      0.455464757838611,
      0.447891703029435,
      0.850029084086418,
      0.850001868605614,
      0.850001868605614,
      0.850003656744957,
      0.72116653209157,
      0.850006186962128,
      0.850027850270271,
      0.850036853551865,
      0.850013169646263,
      0.850008851289749,
      0.850048306584358,
      0.850043773651123,
      0.850093886256218,
      0.850048190355301,
      0.850083166360855,
      0.850027698278427,
      0.850049701333046,
      0.850018712878227,
      0.850018927454948,
      0.850008189678192,
      0.850066384673119,
      0.8500294059515,
      0.850023040175438,
      0.850038757920265,
      0.850035136938095,
      0.850047662854195,
      0.85016987323761,
      0.850029736757278,
      0.850179269909859,
      0.850201067328453,
      0.850012338161468,
      0.85004378259182,
      0.850029173493385,
      0.850042083859444,
      0.85006055533886,
      0.850013089179993,
      0.850035601854324,
      0.850025069713592,
      0.850052464008331,
      0.850052464008331,
      0.850016459822655,
      0.850003406405449,
      0.850021868944168,
      0.850051838159561,
      0.850070443749428,
      0.850001707673073,
      0.850078803300857,
      0.850029584765434,
      0.850016549229622,
      0.850093671679497,
      0.850066268444061,
      0.850045588612556,
      0.850045463442802,
      0.850053331255913,
      0.850054931640625,
      0.850017112493515,
      0.850031659007072,
      0.850028091669083,
      0.850036388635635,
      0.850001314282417,
      0.850056219100952,
      0.850030961632729,
      0.850006026029587,
      0.850009861588478,
      0.850006651878357,
      0.850018516182899,
      0.850053232908249,
      0.850027707219124,
      0.850097391009331,
      0.850000223517418,
      0.850034233927727,
      0.850048404932022,
      0.850036352872849,
      0.850030246376991,
      0.850024989247322,
      0.850036612153053,
      0.850036612153053,
      0.850048556923866,
      0.850010871887207,
      0.850034993886948,
      0.850011166930199,
      0.850005149841309,
      0.850017434358597,
      0.850002682209015,
      0.850000581145287,
      0.850046893954277,
      0.850031712651253,
      0.850024354457855,
      0.850014689564705,
      0.850028109550476,
      0.850008860230446,
      0.850032141804695,
      0.850016155838966,
      0.850015753507614,
      0.850020661950111,
      0.850002235174179,
      0.850029414892197,
      0.850023317337036,
      0.850036334991455,
      0.850018283724785,
      0.850003871321678,
      0.85001612007618,
      0.850004640221596,
      0.850018900632858,
      0.850037389993668,
      0.850033098459244,
      0.850017014145851,
      0.850113520026207,
      0.850068432092667,
      0.850022003054619,
      0.850024148821831,
      0.850033456087112,
      0.850060215592384,
      0.850060215592384,
      0.850013196468353,
      0.850020152330399,
      0.850031355023384,
      0.850004076957703,
      0.850039151310921,
      0.850058543682098,
      0.850038194656372,
      0.850126019120216,
      0.850088602304459,
      0.850162944197655,
      0.850261202454567,
      0.850015217065811,
      0.850193217396736,
      0.850055199861526,
      0.850016513466835,
      0.85005998313427,
      0.850052177906036,
      0.850000160932541,
      0.850048217177391,
      0.850057417154312,
      0.850022280216217,
      0.850089594721794,
      0.850004658102989,
      0.850046268105507,
      0.850072929263115,
      0.850021815299988,
      0.85009241104126,
      0.850137427449226,
      0.85002107322216,
      0.85004979968071,
      0.850112670660019,
      0.850040081143379,
      0.85004977285862,
      0.850051543116569,
      0.850040090084076,
      0.850001180171967,
      0.850001180171967,
      0.850012508034706,
      0.850001099705696,
      0.850026240944862,
      0.850018399953842,
      0.850040546059608,
      0.850010934472084,
      0.850007966160774,
      0.850063836574554,
      0.850058409571648,
      0.850039544701576,
      0.85001148879528,
      0.850055146217346,
      0.85005097091198,
      0.850014269351959,
      0.85002581179142,
      0.850048968195915,
      0.850023308396339,
      0.850027161836624,
      0.850030067563057,
      0.850026598572731,
      0.850008055567741,
      0.850014179944992,
      0.850025033950806,
      0.85001614689827,
      0.850054663419723,
      0.850036773085594,
      0.850034832954407,
      0.85001927614212,
      0.850019714236259,
      0.850018140673637,
      0.850089925527573,
      0.850028485059738,
      0.850064471364021,
      0.850014519691467,
      0.850033152103424,
      0.850016790628433,
      0.850044757127762,
      0.850044757127762,
      0.850004836916924,
      0.85007022023201,
      0.850042960047722,
      0.850028458237648,
      0.850013965368271,
      0.850039267539978,
      0.850015744566917,
      0.850080171227455,
      0.850032892823219,
      0.850027018785477,
      0.850061029195786,
      0.850047555565834,
      0.850008046627045,
      0.850017935037613,
      0.850026634335518,
      0.850027599930763,
      0.850008565187454,
      0.85001677274704,
      0.850013214349747,
      0.850029861927032,
      0.850025445222855,
      0.850017613172531,
      0.850004532933235,
      0.850036826729774,
      0.850015413761139,
      0.850045400857925,
      0.850056827068329,
      0.850055995583534,
      0.850037917494774,
      0.850012570619583,
      0.850020125508308,
      0.850048530101776,
      0.8500359416008,
      0.850113323330879,
      0.850064694881439,
      0.850008073449135,
      0.850008073449135,
      0.850017881393433,
      0.850032418966293,
      0.850061494112015,
      0.850033527612686,
      0.850036039948463,
      0.850011944770813,
      0.850024729967117,
      0.850047019124031,
      0.850018310546875,
      0.85002823472023,
      0.850017595291138,
      0.850025320053101,
      0.850018185377121,
      0.850009924173355,
      0.850020205974579,
      0.850027438998222,
      0.850035861134529,
      0.850022557377815,
      0.850007948279381,
      0.850011274218559,
      0.850012749433517,
      0.850013929605484,
      0.850005775690079,
      0.850021511316299,
      0.850085785984993,
      0.850028494000435,
      0.850052383542061,
      0.850014206767082,
      0.850025400519371,
      0.850031086802483,
      0.850044730305672,
      0.850019079446793,
      0.850066143274307,
      0.850040957331657,
      0.850024157762527,
      0.850045812129974,
      0.850045812129974,
      0.850030317902565,
      0.850032311677933,
      0.850015583634377,
      0.8500125259161,
      0.850006991624832,
      0.850023254752159,
      0.850055146217346,
      0.850026795268059,
      0.85001685321331,
      0.85001565515995,
      0.850010138750076,
      0.850020626187325,
      0.850031390786171,
      0.850083050131798,
      0.850035199522972,
      0.850033554434776,
      0.850030139088631,
      0.850034976005554,
      0.850020849704742,
      0.850035360455513,
      0.850037130713463,
      0.850047126412392,
      0.850006946921349,
      0.850014358758926,
      0.850001546740532,
      0.850042244791985,
      0.850034528970718,
      0.850059705972672,
      0.850042396783829,
      0.850047153234482,
      0.8500318557024,
      0.850028815865517,
      0.850028136372566,
      0.850037443637848,
      0.850047358870506,
      0.850028860569,
      0.850028860569,
      0.850091221928597,
      0.850017604231834,
      0.850032964348793,
      0.850043299794197,
      0.850054627656937,
      0.850032535195351,
      0.850015503168106,
      0.850001233816147,
      0.850020107626915,
      0.850038114190102,
      0.850043550133705,
      0.850012159347534,
      0.850026276707649,
      0.850005427002907,
      0.850022003054619,
      0.850032982230186,
      0.850019338726997,
      0.850007063150406,
      0.850013518333435,
      0.850028243660927,
      0.850017818808556,
      0.850037568807602,
      0.850010773539543,
      0.850016441941261,
      0.850049692392349,
      0.850016960501671,
      0.850068315863609,
      0.850027385354042,
      0.850011819601059,
      0.850034672021866,
      0.850021609663963,
      0.85000906586647,
      0.850036808848381,
      0.85008473098278,
      0.850026071071625,
      0.850041690468788,
      0.850041690468788,
      0.850035646557808,
      0.850047904253006,
      0.850030416250229,
      0.850021690130234,
      0.850011783838272,
      0.850036290287971,
      0.850048243999481,
      0.850012257695198,
      0.850059545040131,
      0.850003603100777,
      0.850045722723007,
      0.850027260184288,
      0.850017407536507,
      0.850022566318512,
      0.850030246376991,
      0.850016871094704,
      0.850014233589172,
      0.85003000497818,
      0.850019356608391,
      0.850031104683876,
      0.850001242756844,
      0.850021207332611,
      0.850020867586136,
      0.850023853778839,
      0.850012454390526,
      0.850026133656502,
      0.850006330013275,
      0.85000171661377,
      0.850036433339119,
      0.850044238567352,
      0.850041779875755,
      0.850059723854065,
      0.850011390447617,
      0.850042870640755,
      0.850067600607872,
      0.850012516975403,
      0.850012516975403,
      0.850002753734589,
      0.850038659572601,
      0.850008672475815,
      0.850041896104813,
      0.850014716386795,
      0.850003129243851,
      0.850004309415817,
      0.850042700767517,
      0.850027930736542,
      0.850060224533081,
      0.850030836462975,
      0.850082165002823,
      0.850032830238342,
      0.850028082728386,
      0.850054010748863,
      0.850088262557983,
      0.832591739094785,
      0.843438152359362,
      0.85001617372036,
      0.669639884000344,
      0.474191200113477,
      0.269037018912335,
      0.154931211056393,
      0.499850237271923,
      0.465620757321879,
      0.136161485180841,
      0.274872688457004,
      0.0681463626131531,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0
    ],
    "color_temperature_curve": [
      0.75,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.803916524438297,
      0.760317084368537,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.811752958858714,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.884223086693708,
      0.867008555636686,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.830372908536126,
      0.829039579279283,
      0.9,
      0.9,
      0.9,
      0.9,
      0.877249461061814,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.9,
      0.896922353435965,
      0.898835927598617,
      0.9,
      0.868168633124408,
      0.833676119411693,
      0.797475553961361,
      0.777338774064008,
      0.83820455495049,
      0.832164943919462,
      0.774027392443489,
      0.798505278194652,
      0.762025384341969,
      0.75,
      0.75,
      0.75,
      0.75,
      0.75,
      0.75,
      0.75,
      0.75,
      0.75
    ],
    "contrast_volatility": 0.148127201576185,
    "motion_velocity_mapping": [
      0,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.244640123438671,
      0.0468126018830213,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.280197057122776,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.609022054725478,
      0.530913069648962,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.364682970021646,
      0.358633139522059,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.577380018203745,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.680608012072369,
      0.666643539340308,
      0.67532616538561,
      0.680608012072369,
      0.536176789867414,
      0.379670915271483,
      0.215414949357843,
      0.124046591121334,
      0.400218178670539,
      0.37281412762042,
      0.109021572041636,
      0.220087206447195,
      0.0545638195426257,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0
    ],
    "particle_density_mapping": [
      0.42928467399603,
      0.27257921459388,
      0.342103467708918,
      0.270372095447371,
      0.128012910497531,
      0.204158521052096,
      0.229540391236951,
      0.177673091293987,
      0.214090557211387,
      0.188708687026532,
      0.104838159459185,
      0.336585669842645,
      0.393970767651883,
      0.139048506230076,
      0.289132608192699,
      0.24609378483577,
      0.121391553058003,
      0.153394780682386,
      0.216297676357897,
      0.140152065803331,
      0.361967540027501,
      0.256025820995061,
      0.344310586855427,
      0.313410918804299,
      0.270372095447371,
      0.3376892294159,
      0.329964312403118,
      0.137944946656822,
      0.229540391236951,
      0.273682774167134,
      0.247197344409025,
      0.278097012460153,
      0.238368867822988,
      0.129116470070785,
      0.345414146428682,
      0.288029048619444,
      0.198640723185823,
      0.406109922957684,
      0.21960835507766,
      0.151187661535877,
      0.249404463555534,
      0.295753965632226,
      0.227333272090442,
      0.444734508021594,
      0.370796016613537,
      0.152291221109131,
      0.135737827510313,
      0.0750420509813111,
      0.0706278126882928,
      0.0794562892743294,
      0.0993203615929117,
      0.0993203615929117,
      0.114770195618476,
      0.15449834025564,
      0.304582442218263,
      0.186501567880023,
      0.36417465917401,
      0.346517706001936,
      0.331067871976372,
      0.241679546542752,
      0.248300903982279,
      0.16884461470795,
      0.215194116784642,
      0.3255500741101,
      0.0662135743952745,
      0.189812246599787,
      0.305686001791517,
      0.178776650867241,
      0.131323589217294,
      0.218504795504406,
      0.152291221109131,
      0.22181547422417,
      0.19533004446606,
      0.306789561364772,
      0.323342954963591,
      0.390660088932119,
      0.158912578548659,
      0.261543618861334,
      0.274786333740389,
      0.235058189103224,
      0.346517706001937,
      0.175465972147477,
      0.183190889160259,
      0.237265308249734,
      0.193122925319551,
      0.152291221109131,
      0.15670545940215,
      0.114770195618476,
      0.167741055134695,
      0.134634267937058,
      0.31120379965779,
      0.226229712517188,
      0.199744282759078,
      0.331067871976372,
      0.335482110269391,
      0.269268535874116,
      0.256025820995061,
      0.320032276243827,
      0.333274991122882,
      0.307893120938026,
      0.3498283847217,
      0.23395462952997,
      0.248300903982279,
      0.340999908135664,
      0.171051733854459,
      0.29906464435199,
      0.310100240084535,
      0.167741055134695,
      0.265957857154353,
      0.110355957325457,
      0.194226484892805,
      0.303478882645008,
      0.139048506230076,
      0.236161748676479,
      0.333274991122882,
      0.220711914650915,
      0.419352637836738,
      0.315618037950808,
      0.307893120938026,
      0.365278218747264,
      0.421559756983248,
      0.294650406058971,
      0.504326724977341,
      0.268164976300862,
      0.259336499714825,
      0.247197344409025,
      0.424870435703011,
      0.212986997638133,
      0.347621265575191,
      0.3376892294159,
      0.232851069956715,
      0.392867208078629,
      0.243886665689261,
      0.193122925319551,
      0.345414146428682,
      0.300168203925244,
      0.274786333740389,
      0.314514478377554,
      0.293546846485717,
      0.390660088932119,
      0.326653633683354,
      0.36417465917401,
      0.275889893313644,
      0.324446514536845,
      0.295753965632226,
      0.161119697695168,
      0.15449834025564,
      0.200847842332333,
      0.307893120938026,
      0.431491793142539,
      0.22181547422417,
      0.173258853000968,
      0.434802471862302,
      0.217401235931151,
      0.232851069956715,
      0.334378550696136,
      0.216297676357897,
      0.175465972147477,
      0.147876982816113,
      0.0838705275673477,
      0.253818701848552,
      0.14235918494984,
      0.175465972147477,
      0.359760420880991,
      0.203054961478842,
      0.407213482530938,
      0.370796016613537,
      0.296857525205481,
      0.205262080625351,
      0.279200572033407,
      0.196433604039314,
      0.236161748676479,
      0.392867208078629,
      0.088284765860366,
      0.179880210440496,
      0.295753965632226,
      0.147876982816113,
      0.302375323071754,
      0.267061416727607,
      0.0651100148220199,
      0.164430376414932,
      0.147876982816113,
      0.370796016613537,
      0.320032276243827,
      0.322239395390336,
      0.382935171919337,
      0.398385005944902,
      0.370796016613537,
      0.220711914650915,
      0.265957857154353,
      0.320032276243827,
      0.280304131606662,
      0.257129380568316,
      0.148980542389368,
      0.296857525205481,
      0.367485337893773,
      0.286925489046189,
      0.439216710155321,
      0.259336499714825,
      0.227333272090442,
      0.276993452886898,
      0.134634267937058,
      0.114770195618476,
      0.271475655020625,
      0.268164976300862,
      0.169948174281205,
      0.222919033797424,
      0.190915806173041,
      0.405006363384429,
      0.303478882645008,
      0.293546846485717,
      0.382935171919337,
      0.416041959116975,
      0.380728052772828,
      0.413834839970466,
      0.374106695333301,
      0.165533935988186,
      0.403902803811174,
      0.276993452886898,
      0.326653633683354,
      0.409420601677447,
      0.242783106116006,
      0.271475655020625,
      0.222919033797424,
      0.173258853000968,
      0.160016138121913,
      0.261543618861334,
      0.232851069956715,
      0.201951401905587,
      0.291339727339208,
      0.283614810326426,
      0.305686001791517,
      0.312307359231045,
      0.187605127453278,
      0.275889893313644,
      0.26044005928808,
      0.224022593370679,
      0.220711914650915,
      0.275889893313644,
      0.435906031435557,
      0.520880118576159,
      0.512051641990123,
      0.466805699486685,
      0.371899576186792,
      0.322239395390336,
      0.323342954963591,
      0.267061416727607,
      0.296857525205481,
      0.264854297581098,
      0.293546846485717,
      0.28471836989968,
      0.31120379965779,
      0.354242623014719,
      0.297961084778735,
      0.257129380568316,
      0.371899576186792,
      0.313410918804299,
      0.338792788989154,
      0.397281446371647,
      0.19533004446606,
      0.26044005928808,
      0.194226484892805,
      0.292443286912462,
      0.336585669842645,
      0.314514478377554,
      0.313410918804299,
      0.334378550696136,
      0.324446514536845,
      0.174362412574223,
      0.308996680511281,
      0.173258853000968,
      0.283614810326426,
      0.413834839970466,
      0.192019365746296,
      0.209676318918369,
      0.22181547422417,
      0.217401235931151,
      0.338792788989154,
      0.279200572033407,
      0.308996680511281,
      0.315618037950808,
      0.25823294014157,
      0.320032276243827,
      0.354242623014719,
      0.457977222900649,
      0.182087329587005,
      0.416041959116975,
      0.412731280397211,
      0.256025820995061,
      0.294650406058971,
      0.231747510383461,
      0.27257921459388,
      0.297961084778735,
      0.132427148790549,
      0.192019365746296,
      0.286925489046189,
      0.243886665689261,
      0.252715142275298,
      0.424870435703011,
      0.3255500741101,
      0.36417465917401,
      0.393970767651883,
      0.368588897467028,
      0.421559756983248,
      0.393970767651883,
      0.305686001791517,
      0.491084010098286,
      0.324446514536845,
      0.193122925319551,
      0.340999908135664,
      0.397281446371647,
      0.297961084778735,
      0.37631381447981,
      0.251611582702043,
      0.194226484892805,
      0.229540391236952,
      0.306789561364772,
      0.171051733854459,
      0.205262080625351,
      0.161119697695168,
      0.206365640198605,
      0.396177886798392,
      0.300168203925244,
      0.217401235931151,
      0.215194116784642,
      0.21960835507766,
      0.279200572033407,
      0.310100240084536,
      0.290236167765953,
      0.226229712517188,
      0.216297676357897,
      0.250508023128788,
      0.215194116784642,
      0.208572759345115,
      0.230643950810206,
      0.192019365746296,
      0.363071099600755,
      0.211883438064878,
      0.321135835817081,
      0.407213482530938,
      0.15449834025564,
      0.188708687026532,
      0.294650406058972,
      0.182087329587005,
      0.448045186741357,
      0.253818701848552,
      0.264854297581098,
      0.356449742161228,
      0.296857525205481,
      0.403902803811174,
      0.358656861307737,
      0.238368867822988,
      0.304582442218263,
      0.22181547422417,
      0.19533004446606,
      0.387349410212356,
      0.434802471862302,
      0.320032276243827,
      0.413834839970466,
      0.24609378483577,
      0.265957857154353,
      0.3376892294159,
      0.237265308249734,
      0.302375323071754,
      0.363071099600755,
      0.348724825148446,
      0.339896348562409,
      0.410524161250702,
      0.270372095447371,
      0.322239395390336,
      0.240575986969497,
      0.3498283847217,
      0.306789561364772,
      0.291339727339208,
      0.355346182587973,
      0.242783106116006,
      0.222919033797424,
      0.218504795504406,
      0.327757193256609,
      0.322239395390336,
      0.262647178434589,
      0.356449742161228,
      0.239472427396243,
      0.238368867822988,
      0.360863980454246,
      0.336585669842645,
      0.200847842332333,
      0.321135835817081,
      0.262647178434589,
      0.326653633683354,
      0.259336499714825,
      0.359760420880991,
      0.395074327225138,
      0.373003135760046,
      0.227333272090442,
      0.365278218747264,
      0.328860752829863,
      0.243886665689261,
      0.313410918804299,
      0.327757193256609,
      0.177673091293987,
      0.393970767651883,
      0.345414146428682,
      0.227333272090442,
      0.474530616499467,
      0.368588897467028,
      0.332171431549627,
      0.377417374053065,
      0.28471836989968,
      0.163326816841677,
      0.254922261421807,
      0.306789561364772,
      0.300168203925244,
      0.291339727339208,
      0.304582442218263,
      0.285821929472935,
      0.288029048619444,
      0.280304131606662,
      0.377417374053065,
      0.285821929472935,
      0.340999908135664,
      0.361967540027501,
      0.3255500741101,
      0.162223257268423,
      0.286925489046189,
      0.279200572033407,
      0.338792788989154,
      0.3255500741101,
      0.179880210440496,
      0.295753965632226,
      0.29906464435199,
      0.28471836989968,
      0.356449742161228,
      0.333274991122882,
      0.315618037950808,
      0.477841295219231,
      0.150084101962622,
      0.254922261421807,
      0.190915806173041,
      0.270372095447371,
      0.206365640198606,
      0.329964312403118,
      0.579368775958652,
      0.579368775958652,
      0.579368775958652,
      0.579368775958652,
      0.579368775958652
    ],
    "geometric_sharpness": 0.48,
    "organic_mechanical_feel": 0.22,
    "claude_model": "claude-sonnet-4-6",
    "derivation_prompt_version": "tier2_v2.0",
    "derived_at": "2026-03-16T17:45:52.395926+00:00",
    "warmth_metallic_index": null,
    "analog_digital_feel": null,
    "danceability_curve": [
      0.563639871221652,
      0.914012274147301,
      0.963771839553139,
      0.762354261262145,
      1,
      1,
      0.775307208329961,
      0.950813516951154,
      1,
      0.774940085332347,
      1,
      0.830085134922113,
      0.810116687140546,
      0.950763165393464,
      0.902930965605519,
      1,
      0.81323225415849,
      0.905087563749635,
      0.783160894123774,
      1,
      0.82091038661719,
      0.96721106763022,
      0.885016568703394,
      0.840750532672515,
      0.927535196206355,
      1,
      0.745103517200226,
      0.962283819578925,
      1,
      0.728731210070834,
      0.794641888403054,
      1,
      0.778144821271525,
      0.979652730201005,
      0.813320374845404,
      0.890101998817177,
      0.916418925013336,
      0.959007267126434,
      0.935586230440191,
      0.860251081155597,
      0.881536201566749,
      0.832356248290652,
      1,
      1,
      0.686674129869227,
      0.74497062194245,
      1,
      0.993553310414805,
      1,
      0.897170118938081,
      0.882704264940375,
      0.791507311135793,
      0.789220429562322,
      0.874815097208519,
      0.761633373287199,
      0.804525269902525,
      0.638125762980062,
      0.762592982134369,
      0.767287574168295,
      0.841374047791372,
      0.898865738277775,
      0.884110966239137,
      1,
      0.625229627169242,
      0.974720916684994,
      1,
      0.822462458442177,
      1,
      0.886990024798148,
      0.937489358314111,
      0.963287172784936,
      0.919740698852637,
      1,
      0.747040073034931,
      0.73251095233378,
      0.825756406295466,
      0.770915813191961,
      1,
      0.867226263760744,
      0.744936520989169,
      0.895868269275186,
      0.841893499046271,
      1,
      0.664599388034606,
      0.929407129879042,
      1,
      0.933199336893872,
      1,
      0.894542591087174,
      0.845269412610382,
      0.878770591850371,
      0.809586552644463,
      0.952211511877424,
      0.749965538045386,
      0.763349582562885,
      0.890622510048099,
      0.772583488462293,
      0.761671649408921,
      0.77584290221269,
      0.761631353603195,
      0.756382107276158,
      0.681189795146498,
      0.762704142174551,
      0.665471391911255,
      0.783349371546505,
      0.967709364561567,
      0.788434308300257,
      0.748387185968062,
      0.884087322956722,
      0.762630898912711,
      0.928010302241946,
      0.79420669135607,
      0.696743732487554,
      0.912502332174999,
      0.823948592980796,
      0.838383229969261,
      0.712986416517942,
      0.796235880708819,
      0.750567560625823,
      0.727448048514009,
      0.792500826791944,
      0.790410200908964,
      0.802576538542124,
      0.80538098778369,
      0.765402348640769,
      0.902085923375209,
      0.665507772023369,
      0.773565423903065,
      0.924822623056791,
      0.801878627658679,
      0.754013518831968,
      0.713926837032716,
      0.640749322680192,
      0.859907787475944,
      0.741300723324353,
      0.749554869955196,
      0.827733620344241,
      0.84192072643135,
      0.864405689619792,
      0.834905684100976,
      0.822731602823131,
      0.809402758987986,
      0.668345277311801,
      0.83309522072167,
      0.850807396581188,
      0.662289198583524,
      0.869345716115012,
      0.753268394722883,
      0.567262985342587,
      0.765998522751243,
      0.774675313129132,
      1,
      0.556775795091559,
      0.90734435072139,
      1,
      0.743607470142948,
      0.82327622090212,
      0.789626621938606,
      0.832736694875906,
      1,
      0.945245123002746,
      1,
      0.822922743745676,
      0.904665678091393,
      1,
      0.637576850141356,
      0.771613820611821,
      0.815393301368521,
      0.71479508780917,
      1,
      0.743463308000052,
      1,
      0.693109077771656,
      0.913850553533224,
      1,
      0.826746000289948,
      1,
      0.791730367807477,
      0.878266300127339,
      1,
      0.79988955226881,
      0.903768364215365,
      0.649558658612709,
      0.698580860871369,
      0.804077508024628,
      0.737445417746761,
      0.642281603355572,
      0.806327492672791,
      0.666199871546879,
      0.844294190812731,
      0.80151229338756,
      0.702322430412697,
      0.784821046413696,
      0.743493955522324,
      0.748860999624964,
      0.687343846756415,
      0.635115919884811,
      0.835292777580263,
      0.739973949729641,
      0.820172077157266,
      0.686965236184596,
      0.754922782847328,
      0.745232292665236,
      0.920786881840849,
      0.741749233788361,
      0.73475714786296,
      0.735887148734393,
      0.823232802148247,
      0.689822370057792,
      0.811836471565472,
      0.728037567529687,
      0.740507581231985,
      0.777431820642214,
      0.795104014092357,
      0.815729838437104,
      0.810712245843975,
      0.735909863209134,
      0.792649272045545,
      0.769527965842859,
      0.718217163940544,
      0.787204188165235,
      0.758198058686176,
      0.661902067843174,
      0.777458074653477,
      0.732771370601992,
      0.774931182588391,
      0.836594314564176,
      0.792264014725599,
      0.736176678357349,
      0.727454855189621,
      0.660074656142619,
      0.696381814654512,
      0.718937313740206,
      0.69849793203534,
      0.824782048114315,
      0.734389968071147,
      0.73134721763035,
      0.856337881035714,
      0.705241883270507,
      0.74178940100106,
      0.696223259543884,
      0.635132107479217,
      0.749647458602235,
      0.708236542277307,
      0.831889204277043,
      0.795228158246814,
      0.752632851658031,
      0.867361407370297,
      0.769214504821259,
      0.895616922640864,
      0.864317089366594,
      0.817906120354341,
      0.90049927370187,
      0.788837720741106,
      0.81709808075432,
      0.918560790886884,
      0.824077878872604,
      0.821559158827552,
      0.714225397647055,
      0.840997042266022,
      0.792671442643159,
      0.763471025916628,
      0.805403878856306,
      0.787336605202561,
      0.755933134024152,
      0.772244241639018,
      0.794412570114081,
      0.788553643176085,
      0.806042575266158,
      0.821335280470927,
      0.727001310953233,
      0.916878075827311,
      0.818398984053611,
      0.950681028671906,
      0.654336957805843,
      0.771848980780521,
      0.842438276595369,
      0.767147644430484,
      0.781638106367072,
      0.776850359392871,
      0.765416389918281,
      0.756837490805795,
      0.711324226698503,
      0.824772365241743,
      0.72705147392406,
      0.710340235694677,
      0.9282470065327,
      0.800421036836292,
      0.830962030516746,
      0.804599489886848,
      0.802357874300271,
      0.849926476399772,
      0.790498863547702,
      0.757742117297778,
      0.814409777797937,
      0.817760470725322,
      0.766837738827356,
      0.710659549342887,
      0.8366903757509,
      0.746941828685958,
      0.697808421675147,
      0.78075205713547,
      0.606004842970656,
      0.735400552686077,
      0.720811226225633,
      0.810094349558523,
      0.842372057078977,
      0.69152771253712,
      0.796693397841309,
      0.862090778062551,
      0.696945226377766,
      0.790196104430514,
      0.761498525780296,
      0.806224473017547,
      0.889295010951272,
      0.832208416796102,
      0.767850441379089,
      0.716121653902967,
      0.834328259709708,
      0.797754310074321,
      0.689044480374275,
      0.765704128868719,
      0.719013380331772,
      0.597971394123037,
      0.79594396059841,
      0.629044261214271,
      0.828196344505715,
      0.795431941345971,
      0.831730751657813,
      0.864462923606058,
      0.66645389569945,
      0.779382687171854,
      0.782549575509787,
      0.761276090384497,
      0.789285454410941,
      0.694869450933988,
      0.743123962140533,
      0.680982644918091,
      0.689884687208537,
      0.733282146335835,
      0.626105963821482,
      0.998892964595364,
      1,
      0.616326499934709,
      0.871323178432461,
      0.825661803086469,
      0.677461762817407,
      0.74112152603265,
      0.579551390179874,
      0.69382017587923,
      0.762906442606346,
      0.765191484826688,
      0.781574112903246,
      0.766019465628179,
      0.634386816571679,
      0.743737390939258,
      0.689697573134827,
      0.715030366352899,
      0.764539838503983,
      0.797160485372803,
      0.860574628013479,
      0.767823040068567,
      0.754024390308645,
      0.861500006880949,
      0.800345996436706,
      0.795295616450185,
      0.758528432306523,
      0.660167145438182,
      0.753392467698308,
      0.735846084631071,
      0.738174879517091,
      0.770983268947423,
      0.668285018788956,
      0.80908155535231,
      0.696588305648881,
      0.821943850770573,
      0.689891031785033,
      0.734516638507552,
      0.762727172216456,
      0.720978779562179,
      0.681683249710115,
      0.837426340068265,
      0.777817407438511,
      0.783735439480486,
      0.718157880494751,
      0.725355305796983,
      0.900986100476349,
      0.836632806437608,
      0.773834206015285,
      0.708442520494379,
      0.779336230456873,
      0.813633609064118,
      0.757806218060235,
      0.783430355203385,
      0.722267625475236,
      0.755606974897977,
      0.690058540584494,
      0.762862343555937,
      0.795955916755446,
      0.670142681144419,
      0.682588804233735,
      0.769442726039067,
      0.713889668132461,
      0.709450579799065,
      0.734711875074833,
      0.824212846443105,
      0.762819948376233,
      0.646098545681979,
      0.756494982174323,
      0.985928580888357,
      0.812371638065338,
      0.781347000180689,
      0.674752626183062,
      0.709024964059942,
      0.752416043575671,
      0.69444887283356,
      0.762605695027283,
      0.700543882360411,
      0.676095324890787,
      0.668798001571004,
      0.747984169019405,
      0.782993559557939,
      0.664905186355518,
      0.643431860939469,
      0.802789326451012,
      0.684276010796998,
      0.58782434335637,
      0.754865562982292,
      0.709209124709125,
      0.643143581304062,
      0.641699246566579,
      0.567081115764808,
      0.548612058358075,
      0.661983090171911,
      0.614824747051089,
      0.482372239905024,
      0.508991325019487,
      0.496839287886181,
      0.351098021902792,
      0.33561343813369,
      0.210762733136217,
      0.131899709477456,
      0.087846271023734,
      0.0843995362960532,
      0.0843995363104872,
      0.0843995363104872,
      0.084399536054239
    ],
    "tension_curve_composite": [
      0.172587605960731,
      0.43993254535318,
      0.453380554077794,
      0.42629745184811,
      0.436454716818384,
      0.423734505602118,
      0.423833986271455,
      0.437039065441902,
      0.421714644587872,
      0.43827704627727,
      0.412963169577247,
      0.307156974453087,
      0.226759245593452,
      0.437781661403431,
      0.440514799576015,
      0.431316581327202,
      0.42493188125312,
      0.431329199939808,
      0.292642122574561,
      0.430438572117973,
      0.429963537871572,
      0.43277670217771,
      0.432226404370056,
      0.448305000675934,
      0.440478596583061,
      0.425671677305961,
      0.390023231054763,
      0.417631623003515,
      0.441462344862377,
      0.424292220250577,
      0.43188985149583,
      0.434686787076445,
      0.430082992620408,
      0.413119749638271,
      0.343650112126628,
      0.331737456745492,
      0.44748378795339,
      0.450973908914071,
      0.430397165105561,
      0.41531726600344,
      0.405857823630053,
      0.440535115087968,
      0.445938028113231,
      0.429994442024706,
      0.446578138197463,
      0.434978812087457,
      0.436562283604846,
      0.433100687604237,
      0.432603417895479,
      0.423126939278617,
      0.44346095555614,
      0.424155027911456,
      0.434165954817569,
      0.425177168683451,
      0.423272540988754,
      0.426390885698754,
      0.430264449456599,
      0.443245698183514,
      0.432269311391835,
      0.431492513521182,
      0.454584987235476,
      0.416651455831407,
      0.429125235924786,
      0.439757389416799,
      0.422249765621831,
      0.431026193184705,
      0.452677491095434,
      0.436706841447824,
      0.437954687097982,
      0.419971686933195,
      0.444072649522245,
      0.420168815003658,
      0.424556729875717,
      0.423939436484005,
      0.432831787505036,
      0.440673239471574,
      0.426428251301969,
      0.431683568961705,
      0.436451325264795,
      0.436479881985676,
      0.446634148403449,
      0.425976629253518,
      0.435034367424834,
      0.421059535478266,
      0.437596199736128,
      0.428771751604797,
      0.431425731225915,
      0.433207546708219,
      0.427955340468546,
      0.424328738702246,
      0.444469153945502,
      0.429473880077547,
      0.420400770850543,
      0.427799913989956,
      0.443922386330586,
      0.41000181842139,
      0.430042148140549,
      0.450020196610538,
      0.441862245748382,
      0.427851933870898,
      0.424350202314821,
      0.429282791419813,
      0.440195388361543,
      0.433261843126752,
      0.416410914337588,
      0.421284834314654,
      0.431597740014739,
      0.424461080208914,
      0.438709483929218,
      0.422983125992102,
      0.436369673544478,
      0.431493246762597,
      0.42399784340102,
      0.42672291202802,
      0.434852144266981,
      0.418435510590068,
      0.436242360657669,
      0.433522199585345,
      0.419260826782126,
      0.433132624245376,
      0.439863717318183,
      0.441647630593205,
      0.44922419766101,
      0.421603086705951,
      0.44103720691183,
      0.42977171196107,
      0.42607354140873,
      0.407489559898166,
      0.421540824685,
      0.420678419418985,
      0.427055665555799,
      0.444620929241259,
      0.41779274539295,
      0.415605799712158,
      0.434183600012829,
      0.424176955813561,
      0.431760429336564,
      0.41482752560252,
      0.430415620777563,
      0.436416878455703,
      0.432960372661548,
      0.425039646922564,
      0.437867662507552,
      0.434759098702427,
      0.420034433513827,
      0.415355569777522,
      0.437460954684869,
      0.440520032222836,
      0.439468216987329,
      0.457462652148446,
      0.429046809523942,
      0.427573414505985,
      0.437180755502601,
      0.430743541206648,
      0.441166209699072,
      0.447504572206927,
      0.442112641927394,
      0.457658318451375,
      0.426716650995763,
      0.432787758542676,
      0.430035545296046,
      0.430563018774752,
      0.424970839400491,
      0.434584253685791,
      0.426016940204875,
      0.447601720828095,
      0.434040929410109,
      0.429534688266709,
      0.438095826904003,
      0.441164386877183,
      0.43625718973102,
      0.438401100985746,
      0.443450495892034,
      0.422654692338819,
      0.427781229720087,
      0.429498056665619,
      0.423743895746849,
      0.431728309778513,
      0.433601106896476,
      0.422199041556809,
      0.426307539981803,
      0.416693337626309,
      0.414442293737308,
      0.434244183110119,
      0.441084829796637,
      0.452068731092055,
      0.446147127693974,
      0.445542953065249,
      0.414726417884745,
      0.412487917876273,
      0.43758246680405,
      0.433903063350511,
      0.432052148884836,
      0.427844242518009,
      0.434063038076018,
      0.426166957605138,
      0.440081583734024,
      0.439041244244968,
      0.438488618841298,
      0.406170667272801,
      0.408705699569042,
      0.424738024466347,
      0.413642765824535,
      0.43210227291844,
      0.417338787345312,
      0.413438460346482,
      0.427172777655468,
      0.434079965365582,
      0.443940141002151,
      0.430208683183828,
      0.444326542709639,
      0.429118972739088,
      0.440007289515944,
      0.440773243584402,
      0.436423197433151,
      0.437943140100909,
      0.407339420498644,
      0.449670912086443,
      0.420751862980057,
      0.43889406820924,
      0.449000012321932,
      0.428321026481658,
      0.42990558552852,
      0.41765399752282,
      0.424163089501237,
      0.425120360903478,
      0.433380051701802,
      0.41629267646606,
      0.415221500112325,
      0.431273346698353,
      0.438719112852646,
      0.427706683435407,
      0.408615743723149,
      0.413988251742836,
      0.428668508184215,
      0.407231073575637,
      0.416573866338552,
      0.41744191210323,
      0.441739776691513,
      0.421357056563651,
      0.43844951460849,
      0.476310002448319,
      0.437916655329509,
      0.451093117703207,
      0.429374395355821,
      0.450824483630894,
      0.439023215009296,
      0.425212723362628,
      0.443062585679275,
      0.43100228886365,
      0.427228693271014,
      0.43877238763012,
      0.447571679964055,
      0.427172312762549,
      0.442295726350765,
      0.440680547800445,
      0.415337980811411,
      0.428282059535331,
      0.439987882659185,
      0.407987505119644,
      0.431266476401649,
      0.419684299242247,
      0.425342600857623,
      0.438966934935521,
      0.440419092238717,
      0.43151829953704,
      0.425261533582822,
      0.425088503526485,
      0.418340006074634,
      0.435456050800981,
      0.415601306691731,
      0.425757581046946,
      0.44447011833872,
      0.418614236064514,
      0.427836200647376,
      0.419757784754332,
      0.428101555845846,
      0.437574327593242,
      0.4307977972922,
      0.421218511012118,
      0.425345012039811,
      0.438223185974466,
      0.435442220134078,
      0.440085124478738,
      0.43351400346283,
      0.430542564062463,
      0.451925239297921,
      0.428658629656457,
      0.432745564715415,
      0.435019710657742,
      0.438285934258578,
      0.419341896911473,
      0.420653099823639,
      0.424566373087077,
      0.416489716740383,
      0.442401663509822,
      0.416177522348894,
      0.42716891031224,
      0.437460730467732,
      0.4194680780692,
      0.432023431356519,
      0.444465962998911,
      0.430382474890576,
      0.427115830727228,
      0.435576946137719,
      0.423460544331164,
      0.448334768549366,
      0.443405092719694,
      0.42038757405624,
      0.445893667297431,
      0.425174067119348,
      0.431745539776987,
      0.414871255293307,
      0.429064886005906,
      0.426483075674885,
      0.417183781188477,
      0.429508673604941,
      0.416710717722687,
      0.428828796442288,
      0.417152678469703,
      0.415013797763116,
      0.422766911618672,
      0.417403092059815,
      0.42690041044132,
      0.415633980164972,
      0.426218195611129,
      0.423664965633088,
      0.419447800668518,
      0.434531769893474,
      0.429543464612429,
      0.40770275471454,
      0.429096859969575,
      0.424676740830759,
      0.415247739449382,
      0.426250230737093,
      0.435880082567614,
      0.422337287685736,
      0.427816726932165,
      0.426746706631141,
      0.43911542763628,
      0.4149196294234,
      0.431363899527141,
      0.460865244964884,
      0.416111671298251,
      0.438364686846616,
      0.406993054079587,
      0.429913746993784,
      0.423989157385964,
      0.422192088226755,
      0.429866516438188,
      0.426744372706534,
      0.422979733697308,
      0.424948197992557,
      0.422159036635814,
      0.431153432895056,
      0.435188011418561,
      0.441944526044513,
      0.426492812523661,
      0.434057709190338,
      0.408816292500415,
      0.419944518045883,
      0.435509908062489,
      0.425862546577229,
      0.438638056948429,
      0.442175320064234,
      0.43592496870517,
      0.433062107045394,
      0.440532448305419,
      0.423044724923967,
      0.424319576012689,
      0.428395605380421,
      0.446923356459161,
      0.434842331460819,
      0.415744521614086,
      0.413479603708027,
      0.432625287088174,
      0.430166227030525,
      0.440452076061803,
      0.44314528972865,
      0.422821578623562,
      0.420941679777985,
      0.445085446537863,
      0.418671631172305,
      0.418147740312676,
      0.413451857135787,
      0.432298162652161,
      0.417945909825692,
      0.42507615131493,
      0.428714482558365,
      0.416963105168703,
      0.424070818469785,
      0.432862497020755,
      0.435307451323622,
      0.426932037683902,
      0.41956231422448,
      0.429010871106106,
      0.426511482987183,
      0.421422686344161,
      0.434446232711171,
      0.433262171024719,
      0.433442427528316,
      0.422975443453792,
      0.421998757289906,
      0.431392769507423,
      0.432993059827754,
      0.439859778640423,
      0.440957966958663,
      0.434903616673402,
      0.433847167266854,
      0.42959613048991,
      0.436447250110573,
      0.435861836160978,
      0.434209615773682,
      0.424889164422209,
      0.444851554441854,
      0.433299497062927,
      0.436906847345655,
      0.442203770853532,
      0.426316444649544,
      0.44174181369309,
      0.437357783921938,
      0.438798432416804,
      0.433992718364867,
      0.417969230490427,
      0.43591274523616,
      0.440290021240699,
      0.441459908112739,
      0.431434509094806,
      0.427717118909441,
      0.356978166826947,
      0.301128331807745,
      0.240944607806292,
      0.21841707672106,
      0.170409063738136,
      0.155417994889578,
      0.0694670537069909,
      0.0860151275047344,
      0.0294430718609794,
      0.00708363379940994,
      0.00988579544927203,
      0.00842023713842188,
      0.00575444311770184,
      0.00468111745087213,
      0.000617811349891436,
      0.000048828125,
      0.000048828125,
      0.0000705137178012565
    ],
    "textural_complexity_curve": [
      0.523123094213493,
      0.484392143994411,
      0.532849593638882,
      0.45522165967619,
      0.387657219758368,
      0.426194899964329,
      0.443596579150882,
      0.427685435499505,
      0.4171146322706,
      0.41502963902557,
      0.356241350311896,
      0.564186840618041,
      0.603773149627556,
      0.389971342886621,
      0.494832945547544,
      0.465644346142862,
      0.369758230143762,
      0.387182697395121,
      0.472442611550596,
      0.370839810071397,
      0.53873325435017,
      0.474622515287868,
      0.528319344034971,
      0.519003235142738,
      0.489714971909161,
      0.537933455722296,
      0.522957419960036,
      0.36869617353278,
      0.447218891234359,
      0.473225104425645,
      0.45605046813243,
      0.475517240884326,
      0.436320551272444,
      0.373234390523186,
      0.557936214895802,
      0.507331198966721,
      0.436649122656871,
      0.579415191667056,
      0.443808769572234,
      0.385566896744721,
      0.477367404716092,
      0.505289737007346,
      0.469320405254331,
      0.603907394319984,
      0.576828368015147,
      0.421760967031774,
      0.411682516786095,
      0.349595534901434,
      0.347082085295219,
      0.341204365178452,
      0.377079359148772,
      0.360482817909489,
      0.379854040437546,
      0.400588256249131,
      0.5105378602705,
      0.428860363271457,
      0.539324855088557,
      0.537659018867283,
      0.523338505625813,
      0.462163438450545,
      0.496086680562979,
      0.397379220255973,
      0.446665346580542,
      0.536968571087941,
      0.33428391669944,
      0.427919839489696,
      0.525177340795822,
      0.428415080632218,
      0.404191420784651,
      0.444683840597415,
      0.415206472267919,
      0.439490346943448,
      0.426272765648795,
      0.508746684507502,
      0.534384943429235,
      0.567514403873806,
      0.407479366188469,
      0.486794198918242,
      0.492209381880027,
      0.457472606010943,
      0.538164787621697,
      0.414102834607059,
      0.42770149070732,
      0.446992391353,
      0.440997913508133,
      0.406346607566445,
      0.410308017847811,
      0.380078729043965,
      0.419054506371038,
      0.380620314714666,
      0.527167030856912,
      0.460340804923535,
      0.441730735311345,
      0.531826513588718,
      0.547609364397693,
      0.468449720917005,
      0.468818662538089,
      0.526127204477786,
      0.534681705175844,
      0.505875425474772,
      0.533402071295554,
      0.453921847633604,
      0.484166390239318,
      0.535061709243876,
      0.414041702289311,
      0.504611547447752,
      0.514369679813218,
      0.405118539002294,
      0.483239759159188,
      0.358249870302317,
      0.450668533740073,
      0.512808936344817,
      0.3880662254081,
      0.453169267672243,
      0.52700658546783,
      0.434400696857419,
      0.589208450042495,
      0.521911938149598,
      0.507170231568932,
      0.54835606645237,
      0.594717240817362,
      0.50956416048114,
      0.650136325325034,
      0.478249936609735,
      0.476745775102639,
      0.473516154333817,
      0.58180753482494,
      0.431360742066605,
      0.53388977156006,
      0.525934094334166,
      0.448926003706037,
      0.583234281755284,
      0.454709840951709,
      0.417573133470123,
      0.53965160995789,
      0.48626698994439,
      0.483988221819949,
      0.498225919829671,
      0.489878049232567,
      0.558193480995144,
      0.5302634402413,
      0.535536456359599,
      0.504665841808288,
      0.526338881557983,
      0.495005949112204,
      0.397881349407106,
      0.41762310650204,
      0.453852827756008,
      0.504850769417854,
      0.609539538474953,
      0.451581378982624,
      0.411492773637061,
      0.577868080213655,
      0.441984803440666,
      0.473448826932375,
      0.545528835933181,
      0.462378993836064,
      0.453305666963495,
      0.391388105373745,
      0.358622199061789,
      0.469897642797654,
      0.409581534483545,
      0.420505146835055,
      0.550148110590605,
      0.434297951823787,
      0.589344616114676,
      0.560089230342527,
      0.491398864167846,
      0.455551503793133,
      0.492574349475273,
      0.445515931811842,
      0.468060826513614,
      0.583944177138003,
      0.349254249615649,
      0.425631947740109,
      0.505089069781422,
      0.398945574763657,
      0.511758309117013,
      0.483365410951986,
      0.337431146687428,
      0.419016335159442,
      0.387430795149916,
      0.53423151908114,
      0.525351594946807,
      0.540923310689596,
      0.588282761696265,
      0.581843616094401,
      0.572116783210927,
      0.432726451621804,
      0.46491529815833,
      0.525316119931755,
      0.491509944047745,
      0.481147952740164,
      0.402582086813839,
      0.51129615449673,
      0.544551981822705,
      0.508826118545011,
      0.605984531942281,
      0.476354721994164,
      0.420240824313117,
      0.465552713646456,
      0.380993130093537,
      0.358815957115121,
      0.493623303570809,
      0.476605934475942,
      0.393188193784819,
      0.449907502064371,
      0.433009117309844,
      0.590291154161789,
      0.518249761657885,
      0.511528794216159,
      0.567316122223877,
      0.579673252677219,
      0.561164641401938,
      0.583478257393354,
      0.558850577237651,
      0.384334746349358,
      0.590348031860616,
      0.489821549783463,
      0.528448599290476,
      0.587048653595361,
      0.455510972195533,
      0.477831328379828,
      0.436077449801069,
      0.406774947680269,
      0.407413880433517,
      0.488608272794291,
      0.44807412979983,
      0.420162843715812,
      0.496530120993172,
      0.506750708583053,
      0.513209277869173,
      0.489178459141362,
      0.413407999947946,
      0.498774265308305,
      0.462713327880776,
      0.44201598007678,
      0.433307532776472,
      0.501953788557912,
      0.573733322996244,
      0.649251956933422,
      0.668133150559954,
      0.613878614134771,
      0.566680532827494,
      0.518281690333835,
      0.545003181050927,
      0.493529835346871,
      0.484308358404627,
      0.487986861166593,
      0.488514358461392,
      0.494436922214739,
      0.501427239356806,
      0.550890755689923,
      0.497607468109849,
      0.492843686860621,
      0.565513715665874,
      0.505778116757582,
      0.541117860617905,
      0.579667528539537,
      0.412547217450063,
      0.491224008765932,
      0.42987872937756,
      0.492757511704774,
      0.533839814675972,
      0.508860933809996,
      0.504608711948946,
      0.523487417655476,
      0.520821667324253,
      0.402577681399807,
      0.522969049283816,
      0.427307055600093,
      0.480709442463719,
      0.58956408917163,
      0.425876205836954,
      0.42788090835697,
      0.441948319663469,
      0.443668463444191,
      0.525862309072447,
      0.490352382298752,
      0.500035527020384,
      0.507940385880547,
      0.471881076281507,
      0.530630949647888,
      0.552725298429919,
      0.613547089196698,
      0.415439020967307,
      0.603645618726112,
      0.583182654220691,
      0.488838631159681,
      0.500158736512156,
      0.462194010884087,
      0.471207184769855,
      0.487863298924107,
      0.378405387618447,
      0.42270711264826,
      0.510435502269735,
      0.456385828072321,
      0.468382505792175,
      0.590278852343888,
      0.51251450993021,
      0.557960480908148,
      0.593952501527778,
      0.561920849158164,
      0.583133736517238,
      0.573320037611798,
      0.504430955926566,
      0.650332321266123,
      0.539583868626982,
      0.421081698449544,
      0.550573326801729,
      0.569567382794792,
      0.5210824310192,
      0.544784123484075,
      0.47589273128459,
      0.421477013209906,
      0.443906345703221,
      0.518719633027271,
      0.413094068937914,
      0.44671898804992,
      0.403562194767018,
      0.425516875568944,
      0.560982182715975,
      0.493044218928205,
      0.456675749531596,
      0.444882339907842,
      0.461929534877825,
      0.490075432215827,
      0.509700834367101,
      0.509335167142929,
      0.466554693344337,
      0.421731594970652,
      0.472963422148284,
      0.440563426053325,
      0.425693559696753,
      0.466146540382336,
      0.449758188097085,
      0.54052240835669,
      0.457247587593376,
      0.512335166793005,
      0.590512776760516,
      0.390587259454347,
      0.430369721567843,
      0.520221189151823,
      0.422068463661484,
      0.606967125159864,
      0.454489795916154,
      0.49868573635594,
      0.549725999791317,
      0.510460357488788,
      0.57626861587478,
      0.552175756886092,
      0.464045497758074,
      0.508375583764219,
      0.448676995987192,
      0.437393630754984,
      0.557276004670787,
      0.601829865426146,
      0.509225565061425,
      0.575871497674171,
      0.4419571256155,
      0.469708741538179,
      0.541179077753992,
      0.445823464138927,
      0.503389544377404,
      0.553017034705341,
      0.540307760815118,
      0.524038158556231,
      0.577360567555151,
      0.474515362822197,
      0.5186465921409,
      0.472104904948111,
      0.549663952555971,
      0.513327040217815,
      0.484143427213929,
      0.537999025429088,
      0.473537010806229,
      0.440632458559418,
      0.449140965127396,
      0.545727129875125,
      0.522615185646744,
      0.476457516052722,
      0.564694795068148,
      0.449694593915999,
      0.448668618745658,
      0.540021187186172,
      0.547864336537815,
      0.435734500465728,
      0.518082284540597,
      0.487689729467788,
      0.501690239009941,
      0.471302818552652,
      0.55628914090624,
      0.572281742611549,
      0.554192637969471,
      0.446485983555669,
      0.54929977986532,
      0.516918086707798,
      0.463672423051541,
      0.529901053243243,
      0.526052557292238,
      0.427785648867371,
      0.561653234899867,
      0.528828687558309,
      0.465871958389976,
      0.621662393293861,
      0.568257215509602,
      0.525513557789474,
      0.53464068443404,
      0.492239045124695,
      0.417175412128191,
      0.473666480548542,
      0.515358149217456,
      0.504671141723228,
      0.491028724974843,
      0.526867445223636,
      0.501090353787991,
      0.501676126783932,
      0.505054211620935,
      0.561178137565004,
      0.515118159284238,
      0.531371374458628,
      0.545626351508513,
      0.530693126905456,
      0.383637507938715,
      0.509853154305564,
      0.510055131208201,
      0.553421604953495,
      0.530188856655993,
      0.421337454120534,
      0.483604289871018,
      0.503443015379784,
      0.494394522939602,
      0.547604566957761,
      0.52078648791911,
      0.497024111179667,
      0.612402904129649,
      0.382374951785857,
      0.454140952934827,
      0.415243021008173,
      0.480596822913497,
      0.429663424127246,
      0.483614361932108,
      0.568220190476509,
      0.524227876725261,
      0.521654794244108,
      0.521654794244108,
      0.523846142438906
    ],
    "emotional_intensity_curve": [
      0.254169237642029,
      0.50261266596866,
      0.519836827133757,
      0.533268405314875,
      0.521400106368572,
      0.526027168052433,
      0.540080387323519,
      0.515166474748501,
      0.538078397129081,
      0.518163923975316,
      0.466937346257285,
      0.309660811104867,
      0.251247295024106,
      0.539032625467928,
      0.556753087890751,
      0.493825696562816,
      0.515915387406466,
      0.516702952426577,
      0.328696219958085,
      0.561025813072496,
      0.53101844085439,
      0.521552337129227,
      0.526754816306344,
      0.513007835157643,
      0.477764847156437,
      0.477391291791877,
      0.472987661637704,
      0.51994912103035,
      0.543734978280875,
      0.542563196406251,
      0.514087960365539,
      0.525370122163088,
      0.517767774288141,
      0.456437389739055,
      0.35940973340931,
      0.358357003629085,
      0.516902677905282,
      0.565482517250145,
      0.503850032142293,
      0.491470028886885,
      0.483799765754375,
      0.475543340793217,
      0.495251921663394,
      0.501215079044627,
      0.484626515105367,
      0.462547598614621,
      0.458307074038762,
      0.469803603590277,
      0.472705263297852,
      0.476622824110776,
      0.47310658934664,
      0.477592796009547,
      0.478652918955507,
      0.494933715543891,
      0.523086707128424,
      0.555728222243761,
      0.583484048091928,
      0.631167457085691,
      0.613020761515811,
      0.543429748358528,
      0.543530344290978,
      0.544006877345966,
      0.52658780053238,
      0.485528983408513,
      0.480873939246325,
      0.528486202647121,
      0.541402996532184,
      0.503426039611622,
      0.502121285926888,
      0.521670895656202,
      0.494754678752196,
      0.474396720921591,
      0.528976312925048,
      0.536691671734229,
      0.543673946999482,
      0.519527142192161,
      0.511928520581558,
      0.546445567373804,
      0.593067073969378,
      0.58359295629483,
      0.580991248872544,
      0.492890183476383,
      0.517751871456258,
      0.533175838550754,
      0.501810011878687,
      0.503854733277751,
      0.478562514406842,
      0.480866684691821,
      0.482267082586086,
      0.572497406633442,
      0.550712296524559,
      0.506994014945713,
      0.534510318486431,
      0.539352608983191,
      0.551435330487622,
      0.553300855209176,
      0.589043074433493,
      0.648744389876037,
      0.589040113180841,
      0.605851042887083,
      0.541451199431876,
      0.527657461645596,
      0.510390367486912,
      0.548703220130049,
      0.540248282954665,
      0.528899020057481,
      0.555621039486139,
      0.532769394144712,
      0.523223584048594,
      0.535300181476761,
      0.482589796831793,
      0.46560326356956,
      0.52687449868702,
      0.580759780904404,
      0.547209148374687,
      0.547111644145484,
      0.547686902037988,
      0.505016041871492,
      0.529823703453385,
      0.58479248190921,
      0.582065865135554,
      0.570680817878857,
      0.534097584840731,
      0.526355272242992,
      0.537784775652759,
      0.510890788039946,
      0.549133581260415,
      0.527517776399486,
      0.532384535380305,
      0.532936925260934,
      0.547794915141585,
      0.529448425340699,
      0.533713797546286,
      0.478324790154348,
      0.544920137682182,
      0.563743816014763,
      0.564397605534754,
      0.553521879903519,
      0.565531777842972,
      0.521816288562909,
      0.542960533079504,
      0.504713126003156,
      0.564304263829147,
      0.532100333698843,
      0.483419662123887,
      0.475328143748348,
      0.468671312341716,
      0.481399298142634,
      0.489824076579699,
      0.489489261669433,
      0.477650728371945,
      0.480627303070704,
      0.500030948205047,
      0.482220149040332,
      0.474473927382304,
      0.484790240378476,
      0.481992639490121,
      0.480619036310726,
      0.484926147224444,
      0.474799065650898,
      0.47310451130998,
      0.462062793498802,
      0.471575909478186,
      0.474047124092519,
      0.474235522460927,
      0.484578920217695,
      0.484273370556328,
      0.48393312036289,
      0.455942488117624,
      0.478704002124825,
      0.473045679835081,
      0.472285096622189,
      0.467758897522641,
      0.482244300311595,
      0.476374510519034,
      0.474237848278748,
      0.470052579428397,
      0.474787268250166,
      0.480103134314031,
      0.495368621475395,
      0.509357294823051,
      0.504356454471976,
      0.506162335511432,
      0.506910377268148,
      0.500970683711341,
      0.497836482288027,
      0.525302992788603,
      0.516050245077141,
      0.514919175520848,
      0.509831256709117,
      0.486456318261064,
      0.481815706529375,
      0.473214984290334,
      0.493077593782461,
      0.50177565315071,
      0.483710749306235,
      0.476652757110473,
      0.471018720054853,
      0.485695714412013,
      0.483589642203577,
      0.47366756420529,
      0.482625709920741,
      0.498784698334061,
      0.511072642690311,
      0.509533029334678,
      0.518551152060283,
      0.512183133603779,
      0.507885579235943,
      0.514792653560527,
      0.508368105871104,
      0.516663841065389,
      0.506614711952512,
      0.519229081670649,
      0.491233801500897,
      0.466958978087334,
      0.469141298316552,
      0.501377278316757,
      0.507050512706921,
      0.476132616811025,
      0.485582729170156,
      0.474600712193124,
      0.486470911991718,
      0.490552420300812,
      0.479189245677904,
      0.489353394274339,
      0.503963346512637,
      0.507910485297166,
      0.511410062633367,
      0.519555007287091,
      0.52380816838507,
      0.507642433869501,
      0.508261993860225,
      0.514022396568439,
      0.515492325220773,
      0.502729492218649,
      0.493915825186623,
      0.541269500572098,
      0.547610660796484,
      0.608080303764771,
      0.610142872968647,
      0.596155319870059,
      0.618465972687101,
      0.564466393821027,
      0.561505955165152,
      0.517098140087867,
      0.573501702307366,
      0.496648275395348,
      0.546585656850448,
      0.577408548168887,
      0.584146313789839,
      0.622233271899422,
      0.615013327435479,
      0.553930101284021,
      0.56470570446623,
      0.562404187567127,
      0.52531509998249,
      0.526358472719558,
      0.506938200417129,
      0.503539449265807,
      0.509863057685853,
      0.549038410478212,
      0.623239201791137,
      0.610087668726091,
      0.626376744423074,
      0.590400965965255,
      0.595544575188838,
      0.521688728764424,
      0.563185182194016,
      0.499577188492612,
      0.500531906585516,
      0.588636889418939,
      0.537321157724695,
      0.512964691910062,
      0.515870495407439,
      0.518094743402494,
      0.567595654577194,
      0.534476528848236,
      0.529541529062506,
      0.55776571550949,
      0.62624790128882,
      0.581055236393732,
      0.591512743018929,
      0.574741704322421,
      0.544831768456698,
      0.553616555277847,
      0.537308930437676,
      0.538831883986697,
      0.547818753481283,
      0.540728791675776,
      0.52474222886428,
      0.556148259955095,
      0.526244111263759,
      0.518066882138636,
      0.498916049693292,
      0.514115211827715,
      0.547070507554898,
      0.590459733967503,
      0.563844138030758,
      0.55829810309082,
      0.546747978599256,
      0.526749472794395,
      0.562509407492187,
      0.580048129219548,
      0.567466131060009,
      0.565850457786543,
      0.532893585910375,
      0.513633296451427,
      0.541905943252742,
      0.553594310533674,
      0.536322187994044,
      0.555387901127093,
      0.535495305939023,
      0.527849747976552,
      0.529919777531736,
      0.526402428541489,
      0.504265854312032,
      0.484757387493024,
      0.503322688725539,
      0.527589825091325,
      0.559179936587742,
      0.553270671417193,
      0.542795244474865,
      0.534682514949634,
      0.536673136107779,
      0.547915439683227,
      0.546643473299676,
      0.563123122932633,
      0.528547175855899,
      0.528111932600681,
      0.536027501840272,
      0.539741651283771,
      0.549128493713068,
      0.530224035659802,
      0.545859241184735,
      0.558287056843974,
      0.532458249878932,
      0.597762879384436,
      0.56975122390344,
      0.530492560783838,
      0.546467582883342,
      0.59738857455765,
      0.555730421196311,
      0.598081335127429,
      0.545760696989003,
      0.54720543448918,
      0.537186989025816,
      0.527733961630489,
      0.566776165310942,
      0.557870911276507,
      0.558711651710905,
      0.543340152180744,
      0.555466989130815,
      0.535233952279039,
      0.610258709811841,
      0.580095566016025,
      0.578435083920228,
      0.585674417738905,
      0.523382752948653,
      0.54579277098959,
      0.52125464595313,
      0.573504104397476,
      0.574838862813873,
      0.553072285779818,
      0.571663811465887,
      0.568131539866452,
      0.5835770263586,
      0.592384504961337,
      0.566770169266302,
      0.547252395190357,
      0.59260184239602,
      0.577660878357342,
      0.578356421235574,
      0.554961810142818,
      0.595191800830466,
      0.552629716026925,
      0.506501344509374,
      0.533120048765999,
      0.537370176472806,
      0.53591567868567,
      0.537830327535694,
      0.535488924683503,
      0.499318309844334,
      0.521131796094779,
      0.524673454134619,
      0.503690280774888,
      0.54213556520528,
      0.533205542998153,
      0.573939271464083,
      0.540305404289123,
      0.577637832621791,
      0.576972842005409,
      0.538710746436712,
      0.544856027743789,
      0.565019766815053,
      0.568569753570699,
      0.541317706974576,
      0.533151130076276,
      0.538273967841729,
      0.531839356419382,
      0.503287127300882,
      0.521881494291076,
      0.538715697915079,
      0.540969770054256,
      0.606170116240892,
      0.607836067601364,
      0.543013079022023,
      0.540103522727001,
      0.532187399486692,
      0.582793349607854,
      0.568429971480134,
      0.581599028147856,
      0.56653868620739,
      0.566450030557349,
      0.563946081193837,
      0.524931836252454,
      0.510402352270463,
      0.511454427711859,
      0.525191798792751,
      0.533860780581383,
      0.533796202345874,
      0.499258136992682,
      0.484477698455505,
      0.478446223441405,
      0.500248802052438,
      0.488384998940707,
      0.479181393915407,
      0.478768645450824,
      0.461069943074927,
      0.482122094705988,
      0.425404824794479,
      0.356266555059916,
      0.293864392332662,
      0.266365493539416,
      0.214514995800662,
      0.210884895198409,
      0.118660575088089,
      0.152075521207741,
      0.0955800509054841,
      0.0684427720909434,
      0.0697262996914777,
      0.0737155839220538,
      0.0633431207943188,
      0.0862830274053808,
      0.0965471335932185,
      0.10003096643788,
      0.10003096643788,
      0.0981233432854279
    ],
    "tempo_feel": null,
    "tempo_feel_confidence": null,
    "tempo_feel_note": null
  },
  "tier3_emotional": {
    "analyst_id": "daef3c29-b712-473c-b01e-346323d60aea",
    "valence": 540,
    "arousal": 580,
    "dominant_emotion": "neutral_appreciation",
    "nostalgia_index": 380,
    "mystery_index": 150,
    "triumph_index": 460,
    "melancholy_index": 180,
    "sensuality_index": null,
    "inspirational_quality": 240,
    "valence_confidence": 0.72,
    "arousal_confidence": 0.75,
    "nostalgia_confidence": 0.42,
    "mystery_confidence": 0.65,
    "triumph_confidence": 0.55,
    "melancholy_confidence": 0.6,
    "sensuality_confidence": 0,
    "inspirational_confidence": 0.55,
    "analyst_confirmed": true,
    "confirmed_at": "2026-03-17T18:52:44.8+00:00",
    "created_at": "2026-03-17T18:49:28.585149+00:00",
    "updated_at": "2026-03-17T18:49:28.585149+00:00"
  },
  "tier3_contextual": {
    "analyst_id": "daef3c29-b712-473c-b01e-346323d60aea",
    "listening_context": [
      "social",
      "background",
      "cinematic"
    ],
    "time_of_day": [
      "afternoon"
    ],
    "seasonal_feel": [
      "summer",
      "spring"
    ],
    "solo_group": null,
    "headphones_speakers": null,
    "family_friendly": null,
    "explicit_lyrics": null,
    "repeatability_score": 360,
    "listening_context_confidence": 0.78,
    "time_of_day_confidence": 0.4,
    "seasonal_feel_confidence": 0,
    "repeatability_confidence": 0.82,
    "analyst_confirmed": true,
    "confirmed_at": "2026-03-17T18:52:44.8+00:00",
    "created_at": "2026-03-17T18:49:28.714293+00:00",
    "updated_at": "2026-03-17T18:49:28.714293+00:00"
  },
  "tier3_narrative": {
    "analyst_id": "daef3c29-b712-473c-b01e-346323d60aea",
    "intro_energy": "Starts extremely sparse — the analyst describes it as just a voice talking over a single drum, like a street performer with a mic. Very minimal and unproduced feeling in the opening seconds.",
    "build_phases": [
      {
        "description": "Drum roll enters, expanding from the bare opening. The percussion kicks in and begins to fill out the sonic space.",
        "timestamp_normalized": 0.1
      },
      {
        "description": "Full drumming arrives by 27 seconds — the arrangement completes its initial build from solo voice and single drum to a full rhythm section.",
        "timestamp_normalized": 0.12
      },
      {
        "description": "Saxophone enters at approximately 1 minute 14 seconds, beginning a 30-second solo that represents the song's primary textural escalation.",
        "timestamp_normalized": 0.34
      }
    ],
    "drop_climax_points": [
      {
        "intensity": 0.72,
        "description": "Saxophone solo with ad libs layered on top — described as the energy peak of the performance. The street performer analogy reaches its apex here.",
        "timestamp_normalized": 0.34
      }
    ],
    "resolution_phase": "Around the two-minute mark the saxophone exits and the song settles back into the repetitive hook. The analyst describes a gradual release of attention as the repetition becomes apparent — the song winds down by looping its opening energy.",
    "overall_arc_type": "sustained",
    "emotional_turning_points": [
      {
        "shift_type": "positive",
        "description": "Saxophone entry transforms the street-corner intimacy into a full performance moment — energy lifts and the song becomes something worth stopping for.",
        "timestamp_normalized": 0.34
      },
      {
        "shift_type": "negative",
        "description": "Saxophone exits and the song returns to the hook loop — the analyst marks this as the point where interest begins to wane as repetition sets in.",
        "timestamp_normalized": 0.55
      }
    ],
    "surprise_moments": [
      {
        "description": "The saxophone solo was the primary surprise — unexpected in its length and in the layering of live ad libs over the top of it.",
        "timestamp_normalized": 0.34
      }
    ],
    "arc_notes": null,
    "arc_confidence": 0.76,
    "analyst_confirmed": true,
    "confirmed_at": "2026-03-17T18:52:44.8+00:00",
    "created_at": "2026-03-17T18:49:28.786895+00:00",
    "updated_at": "2026-03-17T18:49:28.786895+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": "2026-03-17T18:52:44.8+00:00",
    "created_at": "2026-03-17T18:49:28.871398+00:00",
    "updated_at": "2026-03-17T18:49:28.871398+00:00"
  },
  "similarity": {
    "vector": [
      0.430664,
      0.023216,
      0.421998,
      0.443413,
      0.610484,
      0.247554,
      0.24851,
      0.002771,
      1,
      0.873066,
      0.8,
      0.144179,
      0.094757,
      0.324876,
      0.773429,
      0.226571,
      0.370247,
      0.724678,
      0.510839,
      0.957364,
      0.183753,
      0.806121,
      0.276697,
      0.68644,
      0.2044,
      0.555567,
      0.237905,
      0.444433,
      0.048361,
      0.579369,
      0.226571,
      1
    ],
    "similar_songs": [
      {
        "title": "Break On Me",
        "artist": "Keith Urban",
        "slug": "break-on-me-keith-urban",
        "overall_similarity": 0.7405
      },
      {
        "title": "Paper Planes",
        "artist": "M.I.A.",
        "slug": "paper-planes-m-i-a",
        "overall_similarity": 0.7393
      },
      {
        "title": "Chunky",
        "artist": "Bruno Mars",
        "slug": "chunky-bruno-mars",
        "overall_similarity": 0.7393
      },
      {
        "title": "Lady Lady",
        "artist": "Olivia Dean",
        "slug": "lady-lady-olivia-dean",
        "overall_similarity": 0.736
      },
      {
        "title": "Just Like Heaven",
        "artist": "The Cure",
        "slug": "just-like-heaven-the-cure",
        "overall_similarity": 0.729
      },
      {
        "title": "You Sang To Me",
        "artist": "Marc Anthony",
        "slug": "you-sang-to-me-marc-anthony",
        "overall_similarity": 0.7264
      },
      {
        "title": "Killing in the Name",
        "artist": "Rage Against the Machine",
        "slug": "killing-in-the-name-rage-against-the-machine",
        "overall_similarity": 0.7254
      },
      {
        "title": "Until the End of Time",
        "artist": "Justin Timberlake",
        "slug": "until-the-end-of-time-justin-timberlake",
        "overall_similarity": 0.7203
      },
      {
        "title": "I'm Sprung",
        "artist": "T-Pain",
        "slug": "i-m-sprung-t-pain",
        "overall_similarity": 0.7166
      },
      {
        "title": "HUMBLE",
        "artist": "Kendrick Lamar",
        "slug": "humble-kendrick-lamar",
        "overall_similarity": 0.7123
      },
      {
        "title": "What You Saying",
        "artist": "LIL UZI VERT",
        "slug": "what-you-saying-lil-uzi-vert",
        "overall_similarity": 0.7105
      }
    ]
  },
  "metadata": {
    "analysis_version": "2.0",
    "field_count": 389,
    "generated_at": "2026-03-24T01:28:32.913Z",
    "api_access": "For batch access across multiple songs, filtering, and real-time updates, see the MusicArk API."
  }
}