QUAST

Quality Assessment Tool for Genome Assemblies by CAB

Contigs are ordered from largest (contig #1) to smallest.

Contigs are broken into nonoverlapping 100 bp windows. Plot shows numbers of windows for each GC percentage.

{"assembliesWithNs":["3A1_S1_L001","3A2_S2_L001","3A9_S8_L001","3B1_S9_L001","3B2_S10_L001","3B3_S11_L001","3C1_S16_L001","3C2_S17_L001","3C3_S18_L001","3C6_S21_L001","3E6_S39_L001","3F8_S49_L001","3H1_S60_L001","3H8_S67_L001","3I6_S74_L001","4A1_S97_L002","4A3_S99_L002","4A5_S101_L002","4A6_S102_L002","4A8_S104_L002","4B1_S106_L002","4B3_S108_L002","4B7_S112_L002","4C1_S115_L002","4C8_S122_L002","4D6_S129_L002","4D7_S130_L002","4E5_S137_L002","4G3_S152_L002"],"minContig":5000,"report":[["Genome statistics",[]],["Misassemblies",[]],["Unaligned",[]],["Mismatches",[{"values":[9227,1277,856,373,41733,6476,83,18987,496,1519,0,2909,235,0,847,0,28633,0,6485,2344,23539,7252,972,748,1313,315,90,1242,1634,1863,1180,0,1213,0,1479],"quality":"Less is better","isMain":false,"metricName":"# N's"},{"values":["136.44","15.40","25.07","69.84","551.67","53.06","47.59","292.38","224.05","20.86","0.00","35.94","2.22","0.00","10.23","0.00","801.61","0.00","87.73","31.53","402.82","94.52","7.03","3.38","11.84","1.34","0.29","6.99","7.23","73.17","12.90","0.00","252.38","0.00","15.31"],"quality":"Less is better","isMain":true,"metricName":"# N's per 100 kbp"}]],["Statistics without reference",[{"values":[508,167,239,66,432,967,25,518,9,149,127,651,545,48,615,32,452,2,384,237,692,403,212,1529,584,569,2146,837,1636,346,396,218,47,13,399],"quality":"Less is better","isMain":true,"metricName":"# contigs"},{"values":[87625,11578,141678,109123,87106,82341,72983,165581,38758,90599,133409,79518,60250,192926,141059,167183,56579,36609,74792,109786,116599,150429,193620,71793,140317,53969,40792,33337,74419,105900,123882,44486,242787,63452,39920],"quality":"Less is better","isMain":false,"metricName":"# contigs (>= 0 bp)"},{"values":[3542,234,4757,4450,1346,9339,1489,5294,80,1075,6066,1572,9841,5666,5896,2520,5716,461,2469,2323,8620,4234,3289,14597,5304,3525,13111,6287,12494,3374,4984,3547,4294,421,834],"quality":"Less is better","isMain":false,"metricName":"# contigs (>= 1000 bp)"},{"values":[508,167,239,66,432,967,25,518,9,149,127,651,545,48,615,32,452,2,384,237,692,403,212,1529,584,569,2146,837,1636,346,396,218,47,13,399],"quality":"Less is better","isMain":false,"metricName":"# contigs (>= 5000 bp)"},{"values":[214,146,99,6,259,400,1,232,8,111,13,330,112,14,307,7,65,0,231,176,142,218,174,594,136,300,726,436,577,38,209,7,13,3,285],"quality":"Less is better","isMain":false,"metricName":"# contigs (>= 10000 bp)"},{"values":[63,102,29,3,85,63,0,47,2,75,2,40,33,4,63,1,6,0,87,103,8,86,127,182,44,117,223,137,117,3,121,1,3,2,151],"quality":"Less is better","isMain":false,"metricName":"# contigs (>= 25000 bp)"},{"values":[8,58,12,0,19,20,0,4,2,47,1,3,27,1,7,0,2,0,23,44,2,33,82,59,35,61,88,44,44,0,50,0,0,1,41],"quality":"Less is better","isMain":false,"metricName":"# contigs (>= 50000 bp)"},{"values":[92442,233789,116305,44111,135253,204515,13098,90664,59195,581992,89403,100213,2500408,91769,83139,34203,70392,6353,158215,213121,70972,112457,643736,245560,629526,1897668,295603,707197,1128029,31803,297675,27240,47168,57579,131272],"quality":"More is better","isMain":true,"metricName":"Largest contig"},{"values":[6762821,8293535,3414165,534099,7564829,12205228,174420,6493905,221378,7281516,1019139,8094890,10588840,540480,8281740,303457,3571930,11605,7391578,7435208,5843511,7672527,13832038,22112956,11091307,23489882,30572140,17756770,22587619,2546158,9145218,1467302,480628,180137,9657971],"quality":"More is better","isMain":true,"metricName":"Total length"},{"values":[47057384,12818750,68545694,50899394,42712177,61452493,30726741,81476710,15039646,44646384,66581067,41421715,53839567,90200275,73591054,69610850,33822911,15719044,41613211,56017021,66674598,76644377,97819329,75887962,76193625,52869644,68100256,41960852,74751052,52122143,69155705,25212404,108075465,26372269,25588518],"quality":"More is better","isMain":false,"metricName":"Total length (>= 0 bp)"},{"values":[12643450,8421470,10884019,8100298,9492549,27124752,2497664,14541383,350238,8609053,10422018,10089331,27449924,9477266,17458073,4302378,14087824,651183,11255859,10817933,20695781,14010153,18153104,47540001,20937550,28303342,54048262,28309556,43346879,8840141,17548727,8527118,6607838,890377,10445324],"quality":"More is better","isMain":true,"metricName":"Total length (>= 1000 bp)"},{"values":[6762821,8293535,3414165,534099,7564829,12205228,174420,6493905,221378,7281516,1019139,8094890,10588840,540480,8281740,303457,3571930,11605,7391578,7435208,5843511,7672527,13832038,22112956,11091307,23489882,30572140,17756770,22587619,2546158,9145218,1467302,480628,180137,9657971],"quality":"More is better","isMain":false,"metricName":"Total length (>= 5000 bp)"},{"values":[4752449,8143167,2458480,153415,6326625,8245057,13098,4471343,215887,7014913,271409,5817429,7736036,336657,6151241,138140,1024445,0,6359706,7001476,2153670,6418189,13550482,15763053,8078843,21581301,20914575,14992418,15345372,521344,7905278,107104,256086,117119,8862311],"quality":"More is better","isMain":true,"metricName":"Total length (>= 10000 bp)"},{"values":[2309799,7372115,1411865,99795,3590143,3249781,0,1646573,111853,6448258,134371,1353541,6708559,186215,2336453,34203,236185,0,4056319,5742871,309518,4343861,12810742,9528523,6870682,18793392,13370227,10399288,8767186,85822,6501159,27240,105966,103187,6711425],"quality":"More is better","isMain":false,"metricName":"Total length (>= 25000 bp)"},{"values":[499051,5689386,837854,0,1364350,1872471,0,279058,111853,5430743,89403,211146,6499977,91769,450527,0,121956,0,1809034,3597406,125840,2386893,11215200,5207266,6498093,16875122,8596039,7269579,6267031,0,4042207,0,0,57579,2877252],"quality":"More is better","isMain":true,"metricName":"Total length (>= 50000 bp)"},{"values":[18151,77856,19294,7072,23853,14059,6760,15104,52658,89859,7530,14642,111770,12676,16848,9019,7610,6353,27343,49035,8180,31966,135388,20153,93443,303910,20229,33748,15912,7146,43498,6437,12279,45608,35508],"quality":"More is better","isMain":false,"metricName":"N50"},{"values":[9189,45031,9176,5748,12815,8604,5812,8922,18126,49741,5881,9305,9356,6117,9814,6861,5917,5252,14913,27856,6304,14055,66840,9053,9383,36828,8513,14040,8458,5971,20322,5626,7132,6619,20552],"quality":"More is better","isMain":false,"metricName":"N75"},{"values":[113,34,43,20,93,221,11,133,2,21,41,185,11,9,153,9,153,1,74,47,227,68,31,251,23,15,309,85,248,131,62,89,12,2,88],"quality":"Less is better","isMain":false,"metricName":"L50"},{"values":[248,70,110,42,202,498,18,275,5,48,80,357,134,24,314,19,288,2,165,97,430,162,68,681,161,79,946,297,750,230,137,149,26,6,175],"quality":"Less is better","isMain":false,"metricName":"L75"},{"values":["43.59","43.62","43.69","46.72","43.62","43.20","35.98","43.65","40.93","42.48","40.78","42.95","64.11","41.27","38.76","41.98","42.92","37.14","43.55","43.72","43.66","43.62","44.64","60.27","44.34","55.48","58.87","61.99","61.54","36.39","36.93","42.53","47.43","56.68","43.48"],"quality":"Equal","isMain":false,"metricName":"GC (%)"}]],["Predicted genes",[]],["Similarity statistics",[]],["Reference statistics",[]]],"referenceName":"","date":"22 December 2016, Thursday, 06:03:39","order":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34],"assembliesNames":["3A1_S1_L001","3A2_S2_L001","3A9_S8_L001","3B1_S9_L001","3B2_S10_L001","3B3_S11_L001","3C1_S16_L001","3C2_S17_L001","3C3_S18_L001","3C6_S21_L001","3C8_S23_L001","3E6_S39_L001","3F8_S49_L001","3G9_S59_L001","3H1_S60_L001","3H3_S62_L001","3H8_S67_L001","3H9_S68_L001","3I6_S74_L001","4A1_S97_L002","4A3_S99_L002","4A5_S101_L002","4A6_S102_L002","4A8_S104_L002","4B1_S106_L002","4B3_S108_L002","4B7_S112_L002","4C1_S115_L002","4C8_S122_L002","4D6_S129_L002","4D7_S130_L002","4D8_S131_L002","4E5_S137_L002","4F1_S142_L002","4G3_S152_L002"]}
{{ qualities }}
{{ mainMetrics }}
{"lists_of_lengths":[[92442,68869,63782,60702,55362,54765,52062,51067,47298,44710,43357,43184,42603,41679,40509,39808,39727,38924,38890,38546,37838,37832,37805,37156,36721,35912,35900,35430,35227,35047,34175,34145,34027,33764,32970,32275,31901,31768,31720,30852,30109,30023,28309,27937,27930,27788,27726,27579,26983,26982,26970,26907,26848,26350,26051,26049,25957,25765,25640,25491,25381,25145,25128,24831,24689,24665,24617,24602,24231,24110,24082,24000,23833,23507,23341,23271,22755,22646,22629,22502,22496,22335,22200,22023,21865,21835,21415,21119,21102,21026,20996,20952,20775,20653,20517,20486,20387,20366,20251,20241,19863,19570,19550,19059,18961,18897,18864,18708,18618,18605,18509,18282,18151,18000,17778,17588,17570,17519,17509,17497,17495,17084,17003,16944,16761,16746,16717,16705,16649,16499,16416,16220,16115,16012,15968,15943,15926,15532,15486,15484,15430,15341,15285,15227,15168,15145,15130,14973,14844,14667,14656,14540,14435,14386,14178,14061,14056,13933,13875,13784,13727,13668,13340,13231,13173,13148,13008,12927,12828,12767,12674,12653,12470,12414,12338,12322,12300,12290,12210,12166,12106,12017,11782,11711,11711,11661,11489,11376,11283,11261,11046,11015,10993,10951,10858,10849,10819,10743,10700,10559,10545,10507,10482,10408,10399,10395,10384,10377,10349,10261,10258,10233,10120,10080,9976,9954,9949,9932,9922,9913,9840,9774,9757,9681,9656,9592,9582,9540,9529,9513,9498,9490,9490,9484,9467,9421,9390,9385,9362,9350,9343,9328,9295,9282,9267,9217,9204,9189,9090,9067,8978,8925,8856,8855,8847,8815,8814,8807,8741,8738,8704,8678,8648,8575,8525,8522,8409,8314,8238,8219,8202,8176,8173,8141,8131,8064,8032,7992,7970,7925,7913,7885,7875,7862,7858,7838,7822,7822,7822,7808,7804,7795,7748,7713,7692,7688,7682,7672,7661,7608,7553,7472,7470,7456,7434,7409,7404,7385,7366,7332,7326,7321,7304,7301,7290,7248,7236,7233,7203,7202,7186,7158,7107,7077,7076,7043,7039,7014,6983,6977,6963,6961,6951,6908,6902,6897,6881,6870,6770,6722,6720,6700,6698,6655,6652,6609,6600,6587,6571,6567,6539,6522,6483,6479,6475,6474,6468,6459,6455,6441,6425,6407,6404,6401,6397,6385,6346,6340,6321,6316,6315,6309,6281,6265,6257,6246,6184,6182,6174,6165,6162,6144,6144,6134,6131,6131,6111,6108,6103,6093,6082,6076,6072,6057,6046,6038,6035,6029,6018,6005,5997,5988,5974,5962,5962,5951,5951,5897,5891,5883,5856,5852,5851,5838,5829,5827,5825,5813,5813,5796,5794,5779,5778,5776,5763,5741,5735,5727,5721,5716,5703,5694,5685,5682,5670,5663,5656,5655,5654,5639,5611,5603,5595,5594,5580,5553,5541,5526,5524,5523,5520,5515,5507,5507,5503,5500,5484,5480,5478,5468,5465,5465,5462,5444,5429,5423,5408,5398,5389,5370,5351,5344,5332,5332,5324,5309,5301,5278,5248,5237,5234,5215,5209,5202,5177,5170,5159,5158,5142,5139,5138,5124,5117,5116,5067,5058,5056,5048,5046,5032,5031,5025,5022,5016,5009,5009,5008,5003],[233789,207586,183865,182828,182027,169605,167813,153089,149791,142514,140311,139585,133801,133231,132639,123677,113935,112299,105891,100134,94678,92242,85871,85823,84776,84458,84287,82981,82927,82370,82087,79688,77899,77856,76843,75436,75232,74850,74104,70474,68228,67355,65541,62085,61010,60641,59492,59055,58903,58299,56774,56440,55073,55004,54964,54400,52361,50469,49941,49030,48499,48453,47933,47225,46613,46008,45852,45484,45201,45031,44480,43354,43039,42907,42741,42640,40493,40364,40339,38547,38043,37599,37339,37091,36278,35435,34172,33501,32687,31910,31090,31086,30100,29630,29113,29006,28831,28658,26929,26863,26781,26413,24955,24561,23996,23762,23622,23563,23466,22979,22612,21226,21077,20637,19853,19671,19583,19148,19122,18727,18449,18395,18201,18198,18192,18058,17772,17318,17172,16391,15974,15690,15542,13933,13881,13109,12240,12171,11582,11337,11249,11183,10924,10763,10406,10362,9995,9940,9397,9125,8751,8461,8214,7999,7222,7203,6832,6801,6030,5979,5877,5683,5546,5516,5405,5206,5186],[116305,95383,94403,80752,71613,65474,56531,53803,51874,50905,50694,50117,49138,48010,47661,46991,38185,32877,32200,31392,30314,28383,28363,28076,27556,27400,26405,25723,25337,24139,24013,23180,22639,22578,22488,21275,20861,20271,19654,19604,19321,19315,19294,19109,18978,16978,16967,16786,16388,16380,16087,15975,15941,15700,15475,15391,15053,15048,14862,14625,14481,14303,13960,13785,13768,13706,13580,13242,13190,13172,13090,13053,12850,12829,12808,12718,12571,12484,12395,12223,12010,11955,11803,11758,11746,11278,11236,11091,10829,10800,10790,10598,10511,10397,10390,10362,10194,10182,10102,9990,9939,9726,9594,9540,9517,9499,9432,9338,9234,9176,8969,8931,8913,8894,8790,8707,8568,8561,8539,8533,8527,8498,8487,8482,8450,8366,8316,8316,8286,8283,8251,8121,8056,7990,7974,7746,7636,7598,7527,7493,7469,7455,7403,7253,7244,7241,7226,7108,7094,7061,6978,6961,6947,6942,6923,6921,6918,6856,6850,6819,6782,6767,6761,6571,6562,6552,6526,6518,6485,6479,6470,6447,6441,6428,6402,6399,6300,6246,6205,6180,6124,6107,6085,6070,6065,6008,6005,5973,5959,5959,5946,5903,5890,5880,5874,5862,5858,5849,5839,5825,5824,5816,5779,5759,5741,5723,5703,5664,5655,5655,5646,5608,5585,5581,5571,5484,5478,5429,5420,5417,5414,5409,5362,5318,5307,5267,5203,5154,5132,5117,5073,5071,5064,5062,5049,5041,5019,5018,5003],[44111,28133,27551,23006,19969,10645,9902,9664,9643,8577,8519,8381,8181,7994,7989,7763,7475,7222,7102,7072,6922,6780,6761,6717,6649,6615,6604,6437,6369,6349,6175,6091,6076,6001,5957,5924,5901,5838,5802,5785,5781,5748,5747,5709,5630,5613,5595,5518,5495,5456,5424,5384,5346,5334,5255,5240,5212,5171,5142,5142,5131,5116,5098,5083,5054,5023],[135253,112142,97852,89751,79312,72845,66903,66892,63949,62711,62150,61512,60830,60561,57381,56905,55692,51051,50658,49535,48646,47928,46252,46063,45827,45716,45596,45290,44415,43647,43206,41887,41759,41667,40015,38891,38811,38574,38279,38104,37257,34978,34950,34294,34161,34051,33731,33698,33657,33629,32194,31833,31757,31278,31080,28732,28560,28263,28246,28197,28143,28024,27999,27897,27785,27715,27627,27279,27231,27163,27014,26912,26877,26794,26697,26606,26564,26401,26256,26119,25902,25796,25525,25444,25369,24936,24817,24757,24632,24516,24119,23960,23853,23710,23629,23567,23497,23064,22939,22650,22129,22006,21686,21327,21320,21271,21164,21138,20902,20691,20677,20664,20518,20417,20161,19999,19983,19670,19516,19393,19270,19168,19147,19132,19114,19074,18565,18533,18526,18505,18360,18215,18212,18201,18086,17972,17918,17888,17771,17744,17723,17566,17517,17395,17229,17147,16968,16839,16791,16750,16633,16602,16419,16367,16347,16339,16249,16218,16146,16128,16079,16052,16045,16024,16004,15983,15878,15643,15463,15460,15395,15288,15256,15206,15070,15057,14963,14866,14822,14819,14796,14598,14281,14180,14140,14139,13784,13770,13596,13534,13470,13451,13377,13375,13300,13242,13092,13011,12891,12861,12826,12815,12792,12757,12697,12628,12575,12553,12546,12349,12321,12312,12237,12234,12186,12096,11940,11929,11915,11856,11784,11640,11605,11516,11505,11468,11432,11421,11420,11406,11384,11360,11353,11326,11299,11250,11248,11192,11179,11155,11131,11031,10933,10878,10866,10840,10801,10756,10689,10613,10465,10417,10365,10280,10244,10136,10112,10079,10026,9924,9833,9761,9759,9746,9727,9692,9684,9636,9589,9538,9320,9316,9306,9245,9208,9158,9041,9036,9023,8840,8797,8795,8790,8733,8717,8680,8655,8616,8589,8536,8507,8507,8499,8498,8486,8429,8420,8390,8377,8351,8349,8342,8314,8296,8269,8246,8191,8188,8161,8151,8136,8103,8099,8077,8070,8028,8012,8005,7909,7826,7787,7748,7748,7747,7710,7706,7705,7680,7648,7647,7609,7572,7549,7533,7517,7458,7408,7328,7326,7245,7233,7216,7183,7182,7181,7158,7109,6992,6961,6910,6903,6894,6795,6778,6774,6763,6700,6678,6639,6603,6564,6530,6503,6501,6496,6491,6450,6445,6389,6375,6334,6330,6283,6278,6274,6178,6172,6169,6055,6024,6011,6006,5994,5987,5977,5923,5916,5882,5877,5871,5862,5860,5839,5819,5815,5808,5778,5766,5761,5733,5713,5676,5641,5618,5609,5582,5492,5469,5462,5428,5387,5384,5377,5346,5345,5335,5309,5300,5265,5260,5258,5255,5233,5221,5210,5205,5194,5167,5160,5065,5048,5015],[204515,136046,135499,126260,107552,102415,99911,97850,95059,92456,87358,83943,81102,77492,64588,60632,58588,54035,53895,53275,46951,43841,42960,40299,40094,39861,38779,38429,38155,37482,35710,35679,35098,34041,33876,33546,32844,32625,31655,30843,30232,30126,29854,29804,29162,28876,28641,28592,27988,27796,27511,27206,27074,27055,27005,26764,26625,26075,25981,25839,25625,25596,25115,24920,24798,24534,24466,24373,24339,23965,23950,23698,23659,23629,23265,23198,23135,23129,23089,22949,22729,22705,22433,22128,22011,21963,21681,21596,21584,21421,21411,21408,21375,21369,21343,21334,21329,21321,21318,21294,21229,21039,21002,20888,20598,20557,20474,20385,20256,20143,20053,19992,19884,19488,19460,19422,19355,19339,19160,18852,18788,18690,18639,18605,18520,18496,18403,17929,17917,17885,17760,17699,17640,17534,17502,17487,17479,17441,17376,17131,17104,17048,17020,17001,16993,16952,16880,16861,16843,16828,16827,16810,16802,16719,16691,16630,16623,16527,16506,16443,16433,16381,16273,16206,16175,16164,16162,16140,16124,16038,16019,15990,15978,15939,15931,15876,15862,15847,15813,15717,15715,15698,15688,15679,15596,15520,15486,15408,15386,15253,15183,15141,15106,15103,15087,15073,15069,14883,14859,14841,14825,14823,14738,14724,14677,14604,14553,14538,14504,14501,14487,14465,14426,14426,14413,14345,14329,14310,14304,14157,14059,14019,14001,13980,13927,13907,13889,13870,13852,13851,13845,13809,13806,13801,13789,13768,13727,13658,13644,13606,13552,13533,13506,13480,13442,13385,13376,13348,13308,13303,13294,13285,13279,13273,13265,13261,13255,13206,13184,13177,13169,13118,13007,13005,12949,12876,12855,12849,12824,12789,12769,12758,12704,12699,12658,12650,12606,12583,12562,12554,12547,12476,12457,12420,12391,12331,12321,12310,12296,12253,12210,12206,12201,12200,12176,12167,12121,12073,12069,12063,12055,12028,12027,11969,11955,11952,11922,11902,11881,11865,11751,11747,11741,11711,11697,11684,11667,11640,11634,11579,11577,11541,11534,11508,11507,11462,11435,11408,11404,11401,11386,11372,11369,11353,11337,11329,11311,11282,11266,11246,11231,11190,11181,11114,11112,11099,11079,11079,11022,10983,10950,10914,10892,10845,10826,10814,10779,10763,10759,10748,10741,10739,10714,10660,10649,10636,10635,10626,10612,10596,10579,10577,10534,10532,10503,10494,10407,10387,10381,10369,10362,10328,10298,10295,10256,10236,10220,10170,10150,10090,10084,10076,10073,10072,10055,10039,10024,10014,10010,10001,9991,9982,9979,9960,9934,9913,9895,9842,9829,9824,9817,9814,9806,9798,9783,9765,9764,9745,9699,9693,9686,9682,9656,9644,9642,9621,9607,9602,9582,9558,9552,9550,9529,9476,9473,9467,9458,9443,9420,9418,9407,9403,9377,9376,9348,9340,9322,9310,9296,9277,9268,9267,9253,9238,9228,9220,9207,9204,9189,9148,9148,9140,9133,9121,9114,9105,9104,9098,9094,9090,9032,9029,9027,8999,8993,8985,8980,8970,8962,8956,8956,8914,8904,8847,8770,8747,8737,8720,8717,8688,8685,8672,8669,8666,8650,8630,8610,8604,8592,8590,8587,8575,8549,8544,8534,8518,8518,8496,8488,8481,8476,8473,8472,8443,8416,8389,8378,8359,8346,8343,8336,8324,8316,8315,8302,8279,8257,8254,8232,8225,8187,8166,8148,8135,8131,8072,8072,8070,8068,8067,8035,8029,8016,8011,8008,8001,8000,7993,7987,7986,7978,7945,7943,7935,7929,7926,7925,7883,7878,7872,7869,7859,7845,7835,7832,7818,7799,7782,7775,7772,7742,7728,7718,7696,7681,7680,7676,7657,7653,7648,7633,7632,7620,7616,7612,7606,7598,7592,7586,7555,7553,7531,7522,7521,7517,7514,7501,7490,7463,7449,7426,7422,7403,7400,7398,7392,7380,7369,7366,7347,7343,7330,7283,7272,7261,7250,7240,7234,7232,7225,7216,7215,7212,7210,7197,7193,7189,7186,7176,7173,7170,7150,7141,7135,7113,7108,7106,7083,7083,7082,7081,7080,7077,7072,7070,7066,7056,7052,7047,7047,7043,7039,7028,7023,7013,6985,6985,6975,6970,6959,6954,6914,6899,6891,6879,6859,6853,6844,6841,6838,6809,6806,6799,6796,6787,6787,6787,6783,6777,6770,6743,6741,6734,6717,6712,6709,6706,6694,6680,6677,6669,6653,6634,6631,6626,6615,6606,6592,6586,6583,6575,6573,6572,6571,6566,6543,6541,6540,6538,6520,6508,6504,6493,6487,6486,6471,6467,6460,6459,6451,6448,6445,6443,6437,6437,6425,6415,6401,6391,6382,6381,6379,6367,6364,6359,6352,6347,6339,6339,6337,6330,6309,6308,6305,6304,6296,6289,6287,6278,6274,6268,6243,6224,6219,6218,6213,6210,6206,6200,6174,6173,6162,6159,6155,6151,6149,6140,6135,6133,6131,6131,6127,6118,6113,6112,6103,6096,6093,6080,6079,6067,6064,6060,6057,6053,6047,6046,6043,6043,6042,6037,6035,6034,6027,6018,6012,6001,5995,5986,5981,5973,5947,5941,5933,5928,5927,5926,5898,5864,5863,5861,5854,5846,5836,5829,5827,5819,5814,5808,5805,5802,5793,5790,5783,5782,5775,5759,5757,5745,5742,5740,5734,5729,5726,5726,5701,5692,5688,5680,5668,5658,5650,5639,5630,5625,5622,5594,5587,5583,5573,5572,5565,5562,5558,5551,5545,5536,5533,5528,5526,5516,5510,5509,5503,5494,5487,5464,5451,5449,5446,5443,5442,5440,5434,5423,5421,5418,5404,5399,5399,5395,5395,5393,5388,5381,5381,5379,5375,5372,5370,5370,5369,5368,5359,5357,5356,5349,5345,5340,5339,5334,5333,5308,5303,5298,5298,5294,5293,5281,5266,5262,5257,5255,5254,5254,5252,5240,5238,5233,5216,5212,5207,5206,5204,5200,5183,5179,5176,5169,5165,5159,5157,5156,5139,5133,5129,5118,5114,5111,5110,5108,5107,5107,5090,5089,5080,5072,5071,5068,5067,5066,5063,5060,5056,5054,5048,5047,5039,5030,5028,5021,5018,5017,5017,5013,5012,5008],[13098,9614,9124,9055,8693,8200,7953,6953,6887,6833,6760,6374,6316,6233,6120,6117,5849,5812,5722,5690,5642,5512,5449,5224,5190],[90664,78206,55969,54219,47955,44626,44068,41830,39458,39106,38363,37335,37153,37109,37030,36098,35288,34431,33557,32872,32596,31765,31399,30635,30502,30144,29935,29048,28498,28358,28357,27327,27109,27050,26845,26724,26614,26473,26435,26251,26192,26006,25800,25648,25313,25138,25074,24832,24790,24242,23959,23683,23292,23192,23175,23163,22976,22646,22586,21917,21581,21564,21479,21156,21150,21032,20873,20791,20561,20444,20348,20154,19987,19970,19689,19463,19351,19306,19204,19040,18944,18936,18889,18888,18863,18790,18750,18595,18566,18553,18528,18512,18305,18279,18185,18156,18082,17911,17819,17633,17556,17552,17534,17410,17372,17088,16910,16789,16701,16441,16425,16305,16136,16128,16117,16112,16059,15908,15826,15748,15740,15645,15644,15621,15563,15480,15439,15422,15389,15334,15310,15220,15104,15055,14847,14676,14672,14660,14627,14430,14370,14265,14213,14152,14088,13995,13866,13814,13769,13729,13696,13664,13564,13520,13468,13412,13312,13261,13130,13124,13084,13073,13051,13045,13035,12971,12929,12845,12827,12801,12786,12729,12673,12554,12544,12508,12489,12471,12463,12391,12375,12332,12288,12197,12192,12169,12153,12064,11915,11687,11671,11574,11572,11522,11503,11453,11449,11312,11303,11153,11145,11139,11131,11116,11113,11090,11089,11066,11048,10999,10992,10992,10963,10941,10905,10810,10801,10785,10760,10736,10567,10443,10415,10315,10312,10257,10119,10108,10101,10093,10068,10011,9966,9943,9907,9817,9806,9805,9800,9788,9774,9739,9722,9710,9685,9671,9599,9555,9536,9528,9478,9436,9422,9421,9396,9362,9351,9346,9325,9300,9286,9259,9250,9236,9210,9164,9103,9095,9094,9068,9065,9010,8991,8984,8922,8888,8822,8818,8768,8747,8743,8716,8684,8670,8590,8553,8532,8511,8478,8475,8471,8465,8458,8435,8410,8399,8380,8360,8352,8345,8341,8322,8213,8191,8187,8171,8147,8135,8050,8032,8026,8023,8019,8014,7991,7958,7945,7936,7935,7932,7879,7861,7860,7855,7852,7815,7743,7723,7722,7713,7703,7698,7679,7668,7562,7562,7484,7484,7482,7479,7433,7432,7422,7393,7382,7381,7378,7377,7354,7338,7300,7259,7234,7218,7171,7168,7145,7123,7121,7119,7107,7093,7080,7052,7040,7038,7033,7033,6992,6988,6961,6946,6919,6914,6891,6885,6882,6882,6843,6837,6832,6824,6824,6800,6773,6756,6752,6674,6672,6668,6644,6590,6581,6558,6541,6534,6502,6498,6473,6426,6409,6399,6391,6353,6330,6325,6302,6287,6276,6274,6263,6248,6245,6200,6169,6164,6163,6142,6139,6139,6130,6093,6076,6075,6073,6054,6052,6011,5968,5966,5954,5941,5932,5910,5909,5901,5886,5876,5876,5870,5867,5859,5854,5837,5831,5814,5813,5809,5783,5775,5774,5752,5748,5745,5723,5716,5713,5702,5699,5681,5643,5642,5634,5627,5622,5616,5612,5598,5563,5556,5553,5546,5545,5530,5490,5471,5451,5424,5417,5415,5410,5409,5403,5392,5347,5342,5341,5330,5317,5310,5306,5298,5269,5238,5238,5224,5223,5218,5204,5180,5179,5174,5161,5150,5148,5143,5130,5123,5114,5113,5111,5089,5072,5054,5046,5028,5026,5008],[59195,52658,22385,20491,18126,16379,16004,10649,5491],[581992,248842,241778,237033,231467,217539,203958,158631,154009,138094,137310,128404,125120,123629,115462,110987,109723,101620,99315,92700,89859,87473,85945,84456,83665,82718,81142,77464,76170,75761,72075,70201,69961,69381,68097,67050,66525,62288,61197,60707,59528,58724,56763,53550,51227,51020,50183,49741,47364,45715,45603,44041,43269,41966,41463,41062,37945,37421,37197,37010,36954,35625,34568,33613,33305,32274,31858,31551,29476,29035,28960,28780,28211,27132,26376,24935,24133,22582,21764,20844,19710,19163,19070,18622,18569,17997,17647,17355,17349,16591,16434,15270,15050,14971,14377,14369,14353,13633,13020,12872,12405,12008,11983,11815,11717,11708,11363,11109,11031,10501,10335,9576,9494,9452,9124,9059,8597,8588,8447,8408,8407,8352,8251,8054,7914,7865,7340,6941,6782,6737,6482,6481,6477,6346,6300,6279,5972,5945,5821,5541,5516,5491,5462,5428,5195,5138,5127,5114,5100],[89403,44968,15121,14461,14456,13446,13026,12614,11567,10974,10760,10340,10273,9869,9846,9691,9673,9448,9240,9139,8995,8940,8787,8784,8546,8534,8438,8282,8224,8216,8173,8077,7995,7986,7954,7925,7887,7652,7635,7628,7530,7463,7306,7225,7177,7164,7153,7108,7088,6890,6842,6816,6801,6800,6705,6649,6644,6636,6606,6586,6566,6477,6442,6419,6407,6364,6359,6320,6305,6164,6116,6079,6063,6047,5972,5946,5927,5912,5896,5881,5851,5832,5789,5761,5746,5741,5723,5714,5709,5690,5678,5660,5652,5633,5566,5562,5548,5537,5526,5457,5419,5379,5362,5358,5332,5322,5273,5272,5243,5207,5205,5200,5194,5163,5147,5143,5135,5129,5098,5095,5073,5050,5037,5036,5029,5025,5014],[100213,59705,51228,46151,42998,42329,42313,39127,39019,38315,34678,34414,33251,32501,32121,31826,31710,29666,29543,29526,28462,28176,27826,27802,27567,27179,27157,27106,26843,26702,26491,26429,26254,26102,25860,25837,25524,25305,25204,25081,24995,24853,24774,24573,24481,24407,24215,24168,24141,23896,23864,23701,23523,23198,22919,22753,22665,22565,22373,22264,22189,22115,22073,22007,21939,21919,21787,21554,21209,21151,21127,21043,20657,20656,20608,20539,20497,20407,20253,20155,19994,19974,19796,19735,19677,19668,19640,19571,19433,19324,19313,19212,19170,19164,19138,19134,19099,19083,19062,18926,18839,18832,18811,18663,18650,18550,18522,18449,18380,18288,18201,18169,18143,18067,17999,17966,17909,17873,17826,17790,17755,17736,17711,17645,17613,17610,17531,17441,17429,17383,17345,17087,17048,17039,17025,17006,16936,16904,16820,16776,16659,16588,16574,16562,16368,16353,16349,16329,16278,15958,15874,15859,15843,15824,15733,15667,15616,15555,15522,15465,15455,15444,15420,15410,15384,15351,15288,15155,15123,15075,15052,15052,15025,15021,14988,14964,14945,14939,14931,14917,14835,14824,14798,14680,14642,14606,14605,14565,14560,14539,14520,14473,14471,14439,14383,14380,14355,14297,14295,14266,14144,14126,14043,14003,13905,13823,13813,13806,13799,13717,13666,13665,13626,13602,13568,13544,13458,13405,13389,13360,13357,13345,13318,13277,13268,13260,13213,13134,13125,13072,13069,13037,12994,12944,12939,12912,12760,12745,12735,12714,12670,12651,12638,12618,12552,12483,12480,12479,12476,12465,12430,12370,12347,12274,12234,12208,12199,12187,12180,12133,12127,12107,12106,12094,12012,11982,11933,11844,11802,11798,11694,11666,11666,11607,11601,11600,11434,11424,11402,11391,11377,11331,11309,11296,11291,11261,11254,11221,11200,11190,11181,11174,11149,11000,10962,10856,10807,10793,10743,10682,10673,10623,10619,10576,10571,10535,10532,10522,10515,10501,10472,10446,10410,10378,10351,10335,10333,10300,10289,10262,10206,10203,10187,10186,10069,10044,10037,10032,10019,10000,9991,9985,9972,9962,9940,9936,9933,9866,9812,9809,9801,9788,9777,9776,9773,9676,9660,9660,9650,9644,9627,9583,9575,9475,9422,9333,9305,9153,9149,9140,9133,9122,9121,9101,9062,8975,8974,8935,8930,8926,8917,8808,8770,8740,8739,8731,8700,8695,8679,8667,8656,8644,8643,8637,8627,8570,8568,8568,8563,8544,8536,8493,8471,8434,8431,8408,8398,8394,8379,8378,8377,8356,8352,8351,8349,8323,8303,8273,8253,8236,8230,8229,8223,8217,8202,8193,8177,8152,8151,8131,8103,8090,8090,8089,8064,8059,8008,8004,8002,7993,7971,7951,7948,7948,7938,7917,7913,7908,7885,7877,7818,7785,7751,7738,7737,7675,7656,7640,7610,7599,7595,7560,7526,7496,7490,7486,7485,7468,7465,7455,7453,7439,7437,7428,7424,7401,7366,7337,7337,7326,7261,7255,7241,7235,7206,7198,7195,7194,7185,7183,7162,7143,7132,7130,7109,7084,7070,7058,7055,7046,7042,6956,6939,6924,6889,6880,6860,6851,6842,6840,6797,6787,6785,6765,6750,6750,6750,6744,6734,6729,6727,6718,6718,6704,6678,6636,6598,6541,6541,6540,6535,6521,6510,6463,6432,6423,6420,6417,6415,6386,6371,6363,6358,6339,6317,6308,6306,6278,6276,6269,6262,6238,6228,6199,6199,6143,6143,6100,6078,6072,6068,6059,6031,6006,5997,5994,5969,5955,5951,5934,5894,5889,5874,5869,5818,5815,5802,5782,5773,5766,5735,5734,5707,5681,5654,5650,5633,5631,5621,5619,5619,5615,5601,5601,5590,5580,5579,5577,5570,5549,5547,5541,5536,5535,5526,5518,5517,5497,5495,5465,5461,5457,5456,5449,5437,5435,5428,5417,5409,5394,5394,5393,5372,5365,5351,5326,5325,5313,5298,5295,5283,5263,5260,5232,5230,5225,5218,5211,5188,5175,5161,5158,5155,5150,5142,5138,5135,5128,5119,5098,5087,5086,5060,5051,5041,5039,5023,5021,5019,5019,5017],[2500408,462705,419242,403415,362794,294051,254438,192212,177545,159889,111770,104593,93713,92875,85077,84209,80026,77245,69616,69444,66643,65468,59457,57460,53201,51362,51119,43467,43006,34804,30939,30757,25609,20584,20564,19445,19097,18633,18119,17834,17433,16419,16246,16028,15929,15818,15428,15330,14954,14929,14848,14633,14620,14516,14450,14118,14064,13823,13728,13673,13623,13615,13556,13205,12701,12535,12420,12358,12270,12267,12184,12121,11914,11909,11851,11807,11656,11649,11634,11475,11454,11426,11405,11308,11303,11252,11098,11029,11019,11015,10941,10940,10927,10917,10908,10887,10828,10814,10813,10751,10565,10484,10475,10473,10420,10385,10380,10377,10365,10222,10191,10092,9974,9970,9912,9845,9843,9764,9758,9735,9713,9638,9601,9591,9535,9529,9476,9460,9452,9443,9396,9378,9372,9356,9336,9328,9281,9263,9197,9165,9101,9085,9082,9072,9016,8985,8914,8906,8904,8868,8832,8812,8745,8713,8648,8638,8559,8559,8545,8526,8525,8513,8466,8395,8380,8370,8296,8294,8260,8260,8238,8235,8226,8205,8200,8189,8184,8169,8163,8097,8090,8066,8055,8021,8011,7986,7949,7944,7942,7941,7934,7858,7856,7834,7797,7782,7776,7748,7731,7689,7684,7682,7681,7661,7617,7595,7594,7591,7551,7532,7532,7483,7465,7461,7457,7447,7438,7416,7408,7404,7400,7392,7378,7377,7366,7351,7335,7316,7299,7284,7269,7264,7257,7247,7206,7170,7141,7127,7118,7112,7085,7080,7078,7077,7075,7063,7061,7056,7045,7033,7017,7010,6993,6993,6983,6977,6945,6940,6922,6922,6922,6913,6908,6903,6895,6888,6881,6853,6822,6816,6814,6800,6785,6769,6768,6760,6760,6745,6734,6730,6727,6711,6692,6690,6667,6666,6656,6611,6600,6589,6587,6579,6573,6570,6569,6557,6552,6520,6511,6505,6484,6483,6474,6471,6467,6461,6438,6436,6433,6432,6411,6402,6358,6349,6335,6335,6334,6326,6325,6313,6302,6294,6290,6289,6289,6287,6281,6272,6270,6241,6238,6215,6211,6202,6201,6173,6172,6155,6149,6145,6145,6135,6129,6129,6127,6122,6106,6097,6089,6083,6082,6069,6068,6040,6031,6027,6024,6022,6017,6016,6015,6008,5999,5994,5993,5988,5976,5957,5955,5950,5943,5932,5928,5905,5898,5889,5880,5866,5859,5829,5821,5793,5792,5775,5772,5760,5757,5755,5754,5742,5731,5725,5723,5712,5712,5710,5710,5699,5697,5697,5684,5683,5682,5681,5681,5679,5658,5655,5655,5642,5635,5615,5601,5598,5596,5583,5582,5576,5572,5567,5566,5554,5550,5544,5543,5538,5537,5528,5521,5517,5509,5508,5507,5501,5494,5488,5483,5479,5474,5472,5472,5471,5454,5449,5447,5446,5444,5437,5436,5432,5431,5420,5407,5403,5399,5394,5391,5386,5386,5382,5379,5378,5378,5375,5370,5367,5355,5342,5335,5335,5326,5326,5320,5317,5313,5310,5299,5288,5284,5283,5279,5276,5275,5264,5262,5258,5256,5239,5233,5226,5220,5218,5216,5208,5207,5203,5203,5194,5194,5189,5189,5187,5184,5180,5174,5172,5168,5167,5162,5156,5152,5149,5146,5141,5139,5132,5131,5126,5126,5123,5120,5120,5110,5104,5101,5099,5079,5067,5066,5063,5062,5060,5054,5052,5049,5049,5042,5041,5038,5028,5027,5027,5026,5023,5009],[91769,40503,28562,25381,24929,20965,20573,14709,12676,12599,12191,11203,10331,10266,9069,8838,8748,7217,7045,6511,6446,6362,6306,6117,6011,5989,5779,5779,5778,5706,5687,5653,5646,5636,5616,5541,5403,5383,5347,5200,5195,5187,5178,5174,5155,5062,5048,5011],[83139,67052,66086,64157,62662,55725,51706,47118,45594,45336,44477,44206,42990,41140,40582,40226,39547,39233,38847,38692,38657,37953,37755,37323,37253,37081,36503,36074,35062,34236,34234,33617,33378,33195,32826,32605,32510,32334,31279,31149,30810,30689,29992,29703,29534,29300,28857,28740,28639,28562,28211,27761,27645,27372,27341,27247,27158,26961,26551,26116,25529,25129,25067,24929,24412,24323,24246,24102,24100,24075,24068,23915,23443,23404,23285,23259,23236,23109,23098,22990,22826,22596,22593,22549,22352,22323,22313,22220,22149,22069,21547,21217,21081,21079,21029,20981,20890,20826,20518,20322,20308,20227,20177,20165,20153,19821,19783,19759,19721,19617,19583,19524,19515,19506,19499,19461,19342,19223,19075,18894,18875,18829,18777,18508,18435,18372,18262,18240,18181,18061,18041,17988,17987,17983,17922,17803,17762,17597,17571,17547,17535,17505,17481,17445,17328,17273,17203,17020,17019,16919,16901,16878,16848,16818,16768,16601,16564,16394,16330,16327,16302,16277,16231,16192,16188,16115,16112,15883,15833,15808,15799,15726,15542,15500,15478,15445,15248,15163,15146,15141,15124,15047,15010,14960,14956,14914,14913,14905,14874,14842,14801,14801,14770,14709,14683,14670,14649,14613,14533,14523,14488,14431,14388,14236,14226,14199,14132,13978,13821,13745,13665,13612,13591,13503,13498,13468,13365,13287,13284,13190,13167,13158,13069,12896,12894,12873,12864,12824,12756,12707,12678,12653,12630,12550,12451,12428,12416,12371,12314,12175,12119,12083,11954,11922,11907,11901,11887,11874,11848,11814,11801,11792,11784,11744,11727,11700,11699,11671,11659,11592,11584,11539,11503,11464,11396,11336,11191,11182,11113,11110,11070,11054,10991,10985,10983,10964,10928,10904,10844,10844,10825,10791,10779,10779,10771,10723,10707,10577,10556,10537,10510,10491,10436,10416,10315,10313,10309,10307,10234,10177,10165,10129,10106,10100,10053,10053,10034,9986,9957,9923,9877,9860,9833,9814,9758,9748,9748,9729,9726,9714,9698,9660,9640,9633,9579,9572,9536,9519,9488,9461,9400,9341,9321,9286,9256,9229,9223,9203,9169,9165,9153,9135,9088,9081,9072,8972,8920,8914,8912,8885,8853,8818,8815,8801,8746,8739,8733,8719,8713,8672,8671,8648,8644,8588,8537,8514,8492,8492,8459,8364,8363,8356,8303,8284,8261,8249,8241,8215,8182,8181,8174,8152,8140,8132,8117,8045,8041,8024,8024,8022,8019,7972,7933,7925,7920,7912,7830,7825,7820,7815,7813,7797,7784,7747,7719,7690,7666,7659,7647,7613,7586,7572,7558,7535,7481,7474,7452,7415,7370,7328,7325,7293,7249,7245,7221,7211,7175,7159,7134,7133,7129,7125,7086,7080,7069,7062,7061,7045,7034,7005,7000,6970,6949,6945,6899,6835,6829,6817,6813,6809,6776,6730,6726,6722,6702,6681,6670,6666,6640,6631,6617,6586,6535,6512,6504,6502,6501,6490,6477,6450,6425,6412,6390,6355,6354,6334,6317,6283,6272,6185,6157,6153,6142,6136,6136,6106,6103,6075,6069,6061,6055,6054,6048,6048,6004,5996,5995,5994,5994,5973,5968,5965,5964,5956,5951,5946,5937,5936,5932,5931,5913,5890,5878,5870,5868,5839,5839,5831,5811,5808,5807,5805,5796,5793,5789,5780,5757,5751,5694,5685,5680,5680,5664,5664,5661,5657,5657,5649,5646,5643,5619,5615,5595,5591,5590,5565,5559,5558,5537,5532,5523,5498,5484,5474,5470,5468,5455,5450,5448,5442,5432,5379,5364,5343,5342,5338,5330,5329,5325,5319,5317,5302,5285,5285,5282,5273,5269,5268,5257,5248,5245,5217,5212,5211,5205,5203,5199,5199,5188,5187,5180,5179,5173,5172,5152,5140,5130,5117,5116,5112,5104,5094,5089,5088,5085,5084,5062,5061,5052,5039,5038,5032,5021,5020,5006],[34203,23581,20992,19820,14723,12571,12250,9837,9019,8865,8185,7942,7567,7371,7089,7039,7012,6889,6861,6249,5889,5793,5776,5698,5643,5430,5373,5293,5206,5149,5108,5034],[70392,51564,31339,30783,26235,25872,24620,20094,19436,18851,18197,17988,17482,17117,16981,16343,16324,15643,15605,15461,15323,14993,14830,14814,14249,13846,13826,13584,13506,13369,13048,13015,12827,12670,12612,12478,12408,12160,12007,11943,11857,11725,11652,11564,11462,11421,11359,11318,11308,11298,11118,11011,10929,10575,10450,10374,10286,10279,10218,10208,10113,10049,10019,10017,10000,9976,9975,9974,9907,9868,9866,9861,9770,9698,9688,9677,9624,9581,9549,9504,9476,9466,9415,9385,9368,9298,9267,9252,9198,9189,9167,9149,9148,9097,9086,9074,9051,8962,8941,8911,8840,8795,8793,8791,8780,8779,8736,8721,8605,8572,8552,8530,8489,8466,8462,8408,8384,8366,8329,8303,8301,8269,8255,8243,8200,8160,8149,8136,8125,8106,8078,8060,8007,7980,7960,7938,7925,7886,7859,7842,7833,7801,7800,7798,7789,7775,7755,7714,7699,7694,7656,7634,7610,7609,7569,7492,7480,7455,7449,7443,7398,7387,7385,7379,7368,7353,7343,7341,7340,7336,7329,7328,7292,7238,7227,7218,7203,7199,7198,7193,7154,7087,7077,7077,7047,7024,7024,7017,7011,6999,6989,6953,6922,6906,6903,6899,6883,6866,6861,6851,6843,6816,6802,6779,6769,6713,6710,6702,6699,6697,6679,6679,6665,6649,6636,6611,6607,6604,6601,6594,6581,6570,6568,6551,6528,6502,6486,6481,6475,6473,6468,6450,6411,6400,6383,6371,6350,6334,6328,6322,6321,6317,6312,6311,6308,6299,6294,6277,6276,6273,6264,6254,6254,6253,6251,6224,6187,6170,6152,6139,6138,6133,6113,6109,6105,6103,6102,6073,6070,6065,6047,6046,6041,6021,6012,6009,6003,6001,5986,5984,5980,5973,5973,5969,5935,5929,5921,5917,5913,5895,5892,5889,5882,5880,5862,5855,5853,5848,5839,5834,5827,5809,5803,5802,5801,5794,5791,5787,5772,5771,5771,5750,5744,5742,5740,5728,5726,5723,5716,5712,5710,5708,5701,5699,5692,5686,5686,5685,5670,5663,5656,5655,5637,5636,5628,5627,5621,5621,5617,5617,5611,5602,5602,5600,5593,5587,5566,5564,5563,5561,5548,5544,5535,5527,5506,5495,5481,5468,5468,5463,5460,5459,5455,5447,5438,5426,5416,5411,5409,5405,5389,5360,5350,5341,5340,5339,5336,5322,5321,5315,5315,5310,5304,5302,5301,5292,5290,5280,5277,5274,5261,5259,5255,5251,5248,5232,5232,5230,5224,5224,5222,5214,5205,5204,5199,5197,5194,5191,5191,5190,5187,5176,5172,5159,5158,5150,5147,5145,5144,5129,5125,5118,5117,5115,5104,5096,5095,5094,5086,5084,5082,5079,5077,5073,5069,5065,5063,5058,5053,5052,5047,5046,5040,5021,5021,5013,5009,5007,5006,5004,5003,5000],[6353,5252],[158215,137690,102145,101616,96740,94925,91867,85209,82905,71229,70364,70008,69060,67773,66106,59645,59024,58757,58035,53798,52464,51166,50293,49559,48866,47864,47363,46728,46686,45085,44998,44548,44425,44240,43673,41995,40848,40712,40557,40336,40056,39742,39230,39014,38855,38338,37209,36892,36608,36549,36189,36138,35568,35321,35041,34069,33497,33484,33436,32725,32049,31899,31641,31297,31069,30189,30134,29914,29780,29351,28889,28691,27822,27343,27293,26925,26900,26755,26562,26545,26455,26224,25906,25871,25203,25074,25060,24790,24720,24561,23621,23565,23411,23392,23286,23144,22719,22713,22689,22609,22572,22521,22477,22026,21973,21654,21568,21512,21483,21331,21152,20933,20913,20855,20837,20688,20394,20375,20002,19929,19764,19737,19257,19088,19046,18994,18885,18526,18369,18260,18172,18112,18065,17929,17800,17784,17733,17653,17528,17521,17262,16794,16751,16719,16708,16702,16632,16447,16429,15902,15892,15795,15656,15634,15617,15612,15526,15459,15357,15278,15218,15109,15071,14998,14913,14647,14556,14556,14525,14311,14286,14023,13897,13833,13761,13743,13638,13626,13622,13587,13524,13503,13502,13485,13440,13377,13222,13204,13199,12958,12918,12916,12747,12710,12625,12582,12495,12446,12189,12157,12156,12123,11841,11660,11546,11478,11250,11242,11096,10981,10918,10859,10839,10830,10769,10761,10750,10737,10736,10696,10686,10561,10503,10490,10437,10382,10345,10316,10278,10168,10024,9932,9719,9688,9686,9569,9544,9473,9439,9325,9291,9282,9226,9217,9158,8887,8829,8827,8727,8716,8714,8652,8589,8573,8460,8349,8340,8338,8228,8217,8092,8086,8070,8041,8032,7982,7955,7850,7796,7661,7607,7584,7454,7393,7303,7302,7265,7246,7216,7163,7049,7043,7025,6947,6934,6929,6896,6803,6762,6744,6703,6682,6675,6669,6666,6653,6588,6585,6554,6548,6530,6523,6522,6502,6499,6480,6459,6455,6453,6438,6421,6410,6390,6342,6334,6281,6268,6241,6241,6229,6225,6220,6207,6205,6183,6173,5969,5969,5953,5931,5928,5898,5846,5813,5812,5803,5778,5773,5769,5765,5757,5720,5678,5658,5655,5647,5643,5641,5628,5628,5624,5616,5579,5557,5527,5467,5462,5449,5426,5417,5339,5336,5295,5280,5262,5225,5197,5175,5171,5151,5120,5109,5103,5095,5085,5081,5074,5057,5056,5035,5026,5017,5011,5007],[213121,170476,151323,128376,113584,110195,108821,107569,107322,98521,93782,93400,91633,89208,79707,79045,76816,73941,72573,71450,71368,70350,70118,69127,68938,68851,67731,67564,66530,65878,64171,60141,59031,57964,56738,56310,55698,55434,54462,54443,53247,51222,50996,50231,49863,49689,49035,48801,48307,47025,45967,45564,45203,44817,44328,43715,43155,42795,41184,40400,40127,39887,39591,39416,38769,38278,37558,36887,36836,36599,36125,35913,35787,35531,34805,34765,34624,34178,33910,32932,32800,32715,32119,32051,31789,31642,31612,31452,31255,30798,30547,30486,29885,29564,29420,29411,27856,27493,27150,26016,25932,25797,25309,24869,24491,24462,24457,24286,24146,24066,24016,23906,23757,23605,23406,22745,22297,22273,21576,21352,21202,20851,20847,20570,20509,20095,20000,19952,19847,19777,19697,19348,19130,18901,18784,18086,17799,17557,17450,17274,17152,16244,16190,15766,15761,15505,14978,14961,14819,14156,14101,14072,13873,13527,13126,13037,12952,12914,12603,12504,12293,12248,12101,11923,11803,11697,11658,11648,11488,11265,11179,11114,10839,10743,10710,10269,9848,9751,9665,9642,9634,9552,9546,9304,9208,9104,8994,8824,8821,8815,8708,8513,8424,8244,8181,8111,7955,7709,7658,7655,7432,7377,7125,7101,6883,6757,6706,6645,6557,6336,6329,6206,6197,6072,6041,6039,6032,5965,5861,5836,5826,5727,5590,5569,5562,5549,5542,5512,5505,5491,5347,5291,5218,5186,5184,5149,5121],[70972,54868,41581,32608,30164,27078,26394,25853,24957,24823,24639,22876,22521,22297,21670,21275,19297,18982,18444,18435,18360,18098,17902,17812,17776,17750,17680,17541,17150,17083,16900,16289,16192,16027,15693,15662,15645,15525,15435,15422,15340,15318,15157,15147,15113,15081,15048,15037,14943,14853,14817,14681,14675,14646,14624,14579,14466,14356,14163,13729,13524,13478,13467,13391,13272,13241,13156,13052,12981,12976,12912,12890,12855,12728,12723,12690,12672,12664,12637,12619,12519,12463,12455,12414,12372,12319,12232,12209,12186,12143,12112,12073,12045,12027,12017,11952,11914,11793,11778,11741,11726,11683,11626,11569,11483,11427,11423,11392,11346,11316,11304,11210,11051,11018,10942,10860,10842,10831,10712,10692,10604,10583,10543,10517,10429,10350,10315,10308,10213,10207,10202,10160,10141,10127,10087,10071,10058,10055,10054,10038,10014,10000,9990,9966,9966,9964,9924,9921,9880,9833,9823,9823,9812,9782,9740,9728,9723,9698,9666,9650,9647,9639,9613,9595,9472,9426,9408,9399,9399,9304,9299,9276,9275,9264,9241,9232,9231,9225,9181,9179,9112,9087,9076,9043,8983,8972,8946,8915,8910,8908,8894,8876,8871,8855,8847,8838,8811,8756,8704,8694,8686,8643,8625,8603,8598,8554,8554,8482,8476,8467,8465,8431,8417,8393,8375,8361,8350,8324,8291,8290,8285,8269,8261,8220,8211,8183,8180,8180,8162,8130,8120,8106,8103,8094,8090,8074,8053,8051,8047,8033,8033,8031,8011,8010,8008,7998,7996,7973,7967,7964,7958,7956,7951,7938,7919,7909,7891,7881,7878,7858,7851,7847,7832,7814,7800,7799,7799,7796,7783,7775,7742,7716,7701,7696,7692,7679,7618,7576,7565,7559,7554,7550,7544,7526,7525,7521,7517,7516,7509,7489,7489,7486,7479,7475,7469,7466,7461,7448,7436,7435,7425,7420,7420,7406,7393,7390,7386,7373,7369,7330,7312,7300,7283,7282,7281,7280,7275,7258,7247,7235,7230,7207,7198,7194,7184,7180,7179,7179,7172,7159,7159,7116,7102,7079,7078,7067,7064,7061,7045,7039,7038,7029,7027,7027,7026,7025,6994,6975,6972,6969,6964,6951,6919,6919,6915,6909,6909,6895,6894,6893,6885,6879,6879,6878,6876,6864,6861,6861,6848,6844,6841,6832,6831,6816,6809,6807,6785,6775,6768,6766,6763,6734,6721,6708,6698,6693,6681,6673,6658,6650,6648,6637,6633,6613,6613,6611,6607,6593,6591,6581,6571,6565,6564,6545,6535,6532,6522,6508,6507,6489,6479,6471,6467,6440,6427,6407,6399,6397,6395,6391,6357,6356,6354,6351,6350,6343,6339,6338,6320,6304,6300,6280,6275,6260,6258,6257,6228,6222,6203,6203,6186,6176,6168,6163,6159,6151,6150,6141,6140,6137,6136,6134,6134,6133,6131,6128,6118,6117,6100,6097,6093,6090,6077,6076,6072,6053,6050,6050,6048,6041,6033,6028,6023,6019,6014,6009,6009,5998,5995,5995,5983,5983,5980,5980,5975,5966,5965,5965,5961,5955,5948,5940,5933,5903,5897,5893,5891,5879,5876,5869,5861,5860,5859,5850,5846,5844,5842,5836,5835,5834,5825,5818,5815,5814,5813,5797,5768,5768,5756,5754,5753,5747,5747,5743,5738,5724,5723,5721,5719,5715,5708,5707,5693,5692,5691,5679,5678,5670,5667,5653,5641,5634,5631,5630,5620,5619,5614,5608,5607,5602,5599,5596,5582,5575,5572,5558,5556,5548,5539,5530,5529,5528,5525,5521,5517,5514,5514,5510,5504,5494,5490,5484,5484,5479,5472,5471,5467,5462,5438,5434,5434,5429,5419,5416,5410,5407,5405,5400,5394,5393,5383,5381,5369,5366,5365,5364,5361,5359,5357,5348,5345,5343,5343,5338,5335,5327,5325,5321,5321,5318,5313,5312,5311,5310,5310,5304,5281,5270,5268,5263,5262,5256,5252,5251,5250,5249,5247,5243,5243,5232,5230,5229,5227,5226,5223,5212,5209,5208,5204,5201,5198,5193,5189,5173,5169,5165,5154,5151,5149,5148,5143,5143,5143,5143,5134,5119,5108,5106,5103,5102,5095,5091,5089,5089,5077,5074,5072,5070,5062,5061,5061,5058,5056,5056,5054,5051,5049,5048,5045,5039,5039,5035,5031,5027,5022,5021,5020,5019,5013,5008,5007,5001],[112457,106183,101383,92759,91351,91094,89269,87466,86780,86413,84222,72515,72114,70542,68778,66956,65758,65027,64187,63009,62860,62395,62288,61017,59689,59567,57505,56474,56138,55632,52891,51778,50396,49995,49526,48981,48307,48143,47396,47195,46865,46437,45539,45179,44709,44600,43916,43694,43311,42949,42619,42462,42398,41116,39504,38229,37158,36432,35957,35493,35364,34517,34350,34190,33987,33875,33523,31966,31954,31708,30748,30508,30279,29292,29209,28578,28486,27382,26950,26735,26482,26161,26012,25593,25588,25421,24922,24381,24267,24149,23938,23746,23722,23571,23456,23334,23323,23297,23165,22566,22461,22297,22060,21962,21844,21387,21138,20611,20437,20375,20369,20209,19968,19686,19538,19348,19212,19119,19117,19044,19013,18582,18503,18474,18395,18355,18212,17754,17328,16973,16950,16843,16699,16696,16580,16529,16505,16496,16304,16221,15967,15956,15942,15578,15551,15518,15466,15181,15171,15103,15042,14958,14879,14830,14812,14708,14565,14438,14357,14200,14066,14055,13978,13830,13773,13756,13704,13702,13411,13378,13336,13319,13013,12992,12989,12968,12879,12876,12658,12339,12157,12024,11937,11833,11829,11798,11785,11780,11548,11488,11477,11475,11425,11388,11371,11114,11086,10986,10909,10812,10694,10614,10519,10480,10405,10400,10366,10364,10271,10256,10181,10177,10156,10155,10128,10110,10101,10054,9928,9910,9841,9692,9661,9660,9575,9543,9384,9324,9249,9226,9188,9182,9180,9149,9113,8869,8868,8859,8859,8657,8632,8519,8491,8454,8421,8397,8364,8348,8095,8028,7995,7954,7938,7923,7891,7884,7880,7872,7848,7789,7780,7730,7693,7620,7568,7568,7495,7490,7482,7466,7461,7451,7431,7408,7403,7351,7310,7298,7263,7167,7126,7101,7092,7078,7069,7063,7050,7031,7031,7004,6988,6976,6929,6811,6782,6769,6734,6722,6718,6642,6627,6602,6588,6583,6538,6530,6516,6504,6416,6415,6404,6384,6379,6378,6374,6360,6347,6338,6325,6289,6259,6218,6212,6209,6201,6174,6159,6122,6093,6061,6046,6042,6013,5998,5991,5970,5968,5967,5961,5940,5939,5935,5932,5924,5920,5912,5907,5883,5878,5871,5861,5841,5812,5807,5806,5799,5799,5783,5776,5768,5701,5696,5691,5687,5684,5683,5669,5639,5628,5625,5621,5620,5586,5584,5558,5552,5474,5459,5414,5406,5404,5385,5337,5280,5270,5235,5225,5221,5209,5205,5177,5146,5140,5132,5115,5087,5077,5075,5064,5055,5043,5018,5016],[643736,403387,343716,343053,335194,333503,304233,295990,272389,257437,254987,218396,196625,189318,188603,182925,170326,167930,161019,159628,157066,156159,151411,149932,149758,145684,145126,144914,143267,139830,135388,134947,132930,129296,119993,116764,108911,103958,101632,100754,100577,99111,97646,96801,96075,92749,91741,91096,91027,90149,89780,88542,85622,85600,79292,77791,76023,75711,75697,75383,74868,72842,72374,68915,68898,68655,68401,66840,63627,62930,62392,62066,61282,60412,58913,55836,55601,55148,53183,52209,51899,51381,48408,48389,47320,46745,44664,44531,43091,43001,42832,41682,41662,41295,40133,39347,39184,38646,38575,37576,37332,36527,36045,35404,34248,32805,32670,32601,32016,31965,31842,31560,31239,30528,30438,29448,29189,28934,28521,28326,27670,27643,27161,26894,26224,25760,25471,24209,24140,23922,23449,23052,23028,22348,22078,21190,19869,19746,19618,18760,18548,18542,18467,17914,17407,16134,15419,14920,14835,14492,14279,13600,13551,13300,13223,13166,13072,13026,12557,12502,12272,12054,11588,11545,11416,11397,11251,10895,10787,10618,10556,10481,10299,10218,9945,9877,9856,9551,9372,8976,8767,8705,8704,8530,8344,8191,8113,8088,8019,8014,7842,7826,7754,7693,7509,7444,7371,6560,6499,6415,6195,6133,6094,5826,5748,5583,5501,5450,5394,5347,5234,5086],[245560,243337,197782,162124,140663,133719,132016,127164,127033,122569,111155,109732,108046,103560,101364,100196,99253,99034,98438,95962,89759,89598,85723,84718,82358,76825,76646,76109,72894,72231,71629,69959,68994,66842,66726,66377,66266,66244,65347,63397,62773,61690,61610,61002,60098,58450,57463,56791,56628,56031,56003,55205,54943,54386,52851,51663,51451,50781,50098,49206,48905,48556,48159,47703,47687,47183,46932,46847,46488,46075,45912,45904,45580,45405,44339,44128,44075,44028,43846,43744,43679,43468,43283,43192,42964,41868,41774,41552,41463,41460,41349,40679,40484,40423,40318,40210,40131,40026,39186,38653,38039,37806,37764,37651,37140,36863,36852,36560,36539,36304,36125,36045,35784,35515,35178,34894,34840,34778,34685,34309,33801,33248,33216,33214,33193,33099,32375,32313,32198,31939,31568,31293,31008,30994,30977,30713,30670,30480,30456,30316,30009,29874,29674,29667,29485,29281,29254,29204,29002,28970,28903,28894,28788,28752,28648,28484,28368,27915,27897,27889,27848,27830,27729,27497,27182,27143,27047,26935,26919,26778,26622,26590,26480,26354,26249,26104,26104,25795,25752,25690,25028,25017,24889,24832,24705,24635,24548,24528,24317,24018,23740,23730,23632,23540,23510,23496,23488,23458,23415,23339,23291,23262,23190,23149,23009,23008,22979,22951,22721,22712,22559,22482,22348,22098,22080,22030,22017,22003,21966,21949,21947,21762,21624,21566,21550,21505,21463,21417,21388,21285,21264,21225,21222,21210,21184,21153,21138,21092,21071,21026,20952,20509,20444,20439,20361,20325,20216,20215,20176,20172,20153,20076,20053,20046,20032,19983,19974,19954,19934,19909,19769,19700,19692,19676,19669,19597,19495,19491,19491,19355,19265,19212,19127,19048,19045,19033,18958,18846,18749,18497,18406,18253,18119,18083,18070,18012,17966,17940,17918,17894,17865,17548,17431,17383,17368,17367,17364,17339,17276,17228,17142,17137,17127,17125,17078,16924,16906,16872,16871,16757,16737,16647,16633,16598,16521,16485,16458,16411,16407,16404,16393,16380,16310,16277,16201,16195,16147,16144,16137,16106,16070,16069,15983,15947,15916,15910,15822,15789,15667,15636,15631,15626,15579,15538,15285,15217,15175,15152,15134,15079,15019,14997,14996,14952,14897,14822,14820,14737,14719,14713,14707,14697,14644,14627,14614,14603,14564,14560,14538,14533,14394,14384,14365,14256,14188,14187,14179,14155,14138,14121,14103,14062,14061,14034,14028,13978,13974,13974,13962,13949,13914,13898,13893,13882,13881,13878,13841,13827,13792,13729,13642,13641,13607,13603,13578,13562,13545,13529,13518,13507,13495,13485,13442,13402,13378,13342,13324,13314,13272,13250,13205,13152,13149,13145,13141,13118,13112,13071,13060,12944,12895,12883,12856,12854,12813,12803,12798,12792,12742,12734,12725,12724,12711,12695,12687,12670,12665,12664,12657,12653,12600,12593,12589,12583,12581,12571,12482,12448,12415,12409,12345,12269,12244,12242,12221,12216,12190,12190,12123,12087,12042,12015,12010,12002,11993,11984,11967,11929,11919,11908,11854,11840,11838,11833,11793,11786,11765,11739,11678,11661,11609,11601,11597,11596,11584,11523,11510,11502,11452,11445,11443,11429,11393,11391,11374,11352,11337,11311,11304,11272,11248,11232,11169,11163,11163,11144,11126,11114,11055,11038,11037,11029,11000,10990,10980,10946,10933,10929,10906,10899,10883,10870,10848,10818,10800,10757,10746,10728,10701,10674,10648,10637,10623,10616,10555,10548,10496,10483,10472,10458,10452,10451,10450,10442,10442,10433,10432,10427,10410,10393,10382,10382,10373,10356,10344,10316,10311,10297,10269,10268,10219,10199,10194,10158,10134,10126,10121,10105,10101,10098,10095,10084,10082,10071,10064,10057,10050,10045,10037,10034,10034,10032,10025,10015,9986,9980,9976,9976,9975,9973,9955,9925,9901,9874,9844,9821,9774,9761,9758,9752,9752,9735,9735,9728,9725,9723,9718,9696,9672,9654,9652,9650,9649,9644,9641,9640,9620,9606,9605,9597,9593,9592,9590,9577,9571,9569,9566,9548,9544,9505,9495,9488,9471,9444,9418,9400,9400,9392,9381,9342,9337,9329,9325,9314,9312,9286,9285,9284,9283,9281,9273,9272,9261,9253,9248,9244,9227,9207,9201,9197,9177,9142,9138,9122,9104,9104,9099,9098,9092,9067,9053,9052,9036,9013,8972,8970,8963,8957,8952,8947,8929,8917,8917,8898,8894,8888,8887,8866,8860,8842,8807,8803,8798,8798,8796,8796,8782,8780,8780,8776,8774,8763,8762,8756,8755,8751,8750,8739,8728,8722,8708,8691,8690,8684,8675,8663,8657,8655,8641,8600,8593,8588,8581,8562,8557,8550,8550,8547,8542,8535,8521,8515,8512,8509,8509,8505,8495,8493,8490,8486,8475,8474,8469,8442,8436,8436,8435,8431,8419,8415,8381,8380,8334,8333,8309,8280,8275,8271,8235,8235,8230,8208,8208,8200,8197,8184,8174,8169,8169,8166,8152,8146,8131,8129,8128,8126,8093,8091,8084,8082,8071,8070,8049,8033,7999,7996,7985,7985,7984,7968,7961,7943,7943,7910,7909,7906,7904,7902,7871,7866,7861,7859,7858,7853,7851,7840,7810,7801,7795,7787,7783,7777,7775,7750,7749,7745,7742,7739,7722,7719,7712,7709,7707,7703,7700,7688,7677,7675,7675,7664,7663,7653,7641,7626,7624,7613,7603,7600,7583,7571,7565,7548,7545,7525,7524,7509,7500,7498,7494,7488,7483,7483,7481,7477,7475,7473,7463,7457,7452,7429,7417,7405,7394,7367,7360,7358,7354,7353,7351,7348,7347,7340,7337,7335,7327,7324,7319,7316,7314,7301,7297,7290,7288,7288,7285,7284,7272,7269,7268,7259,7256,7247,7233,7226,7222,7212,7205,7203,7200,7200,7196,7194,7185,7180,7178,7170,7159,7159,7159,7158,7155,7154,7152,7147,7146,7144,7127,7125,7121,7113,7107,7101,7099,7099,7096,7094,7070,7068,7066,7060,7056,7056,7055,7054,7054,7047,7039,7035,7030,7030,7025,7018,7002,7002,6990,6973,6972,6967,6962,6954,6947,6941,6932,6931,6929,6926,6920,6920,6917,6914,6913,6910,6903,6891,6891,6888,6880,6879,6874,6857,6856,6838,6819,6815,6810,6807,6804,6799,6794,6791,6772,6765,6763,6761,6757,6754,6739,6739,6729,6725,6724,6722,6719,6710,6709,6705,6704,6703,6700,6699,6699,6693,6691,6691,6690,6690,6687,6679,6678,6678,6667,6659,6658,6658,6650,6649,6637,6633,6627,6617,6611,6603,6598,6598,6594,6593,6589,6587,6576,6573,6571,6562,6557,6554,6547,6538,6535,6533,6527,6526,6525,6515,6511,6507,6501,6491,6479,6479,6472,6467,6466,6465,6458,6455,6455,6452,6451,6448,6444,6444,6431,6430,6426,6424,6419,6417,6414,6413,6403,6402,6401,6400,6376,6368,6366,6366,6359,6343,6341,6340,6335,6334,6333,6324,6320,6317,6316,6305,6304,6300,6298,6289,6287,6279,6278,6276,6269,6266,6265,6264,6263,6262,6261,6261,6260,6259,6258,6258,6251,6250,6250,6243,6242,6239,6229,6226,6225,6224,6222,6218,6218,6213,6213,6211,6208,6207,6202,6195,6189,6186,6186,6180,6175,6174,6167,6162,6151,6150,6148,6146,6141,6132,6128,6121,6120,6117,6109,6090,6087,6087,6085,6083,6080,6079,6078,6076,6067,6067,6058,6051,6046,6038,6031,6024,6019,6019,6018,6012,6009,6008,6005,6004,5997,5990,5986,5986,5982,5979,5972,5966,5964,5963,5960,5954,5951,5951,5944,5944,5941,5941,5936,5933,5933,5931,5928,5915,5915,5912,5909,5905,5905,5904,5898,5893,5888,5884,5883,5869,5867,5865,5863,5861,5845,5844,5842,5836,5834,5829,5825,5824,5823,5809,5806,5803,5801,5796,5794,5791,5784,5782,5780,5778,5773,5769,5763,5762,5758,5757,5746,5745,5744,5744,5742,5742,5732,5730,5729,5729,5721,5720,5720,5715,5710,5707,5695,5693,5692,5691,5689,5687,5684,5674,5673,5669,5665,5664,5657,5654,5652,5651,5650,5646,5644,5639,5634,5630,5615,5614,5610,5609,5600,5597,5594,5586,5586,5581,5581,5578,5577,5564,5564,5564,5561,5556,5554,5549,5544,5544,5543,5539,5535,5534,5534,5533,5530,5530,5527,5524,5520,5518,5512,5508,5507,5506,5505,5502,5502,5496,5493,5491,5480,5477,5472,5469,5468,5466,5465,5464,5462,5457,5455,5455,5454,5453,5452,5451,5444,5443,5440,5435,5433,5431,5429,5422,5421,5418,5417,5417,5416,5415,5414,5414,5414,5413,5412,5411,5402,5402,5402,5401,5400,5398,5396,5395,5393,5393,5391,5390,5384,5380,5379,5379,5379,5377,5377,5377,5376,5371,5368,5366,5366,5365,5363,5362,5355,5352,5350,5349,5349,5347,5344,5341,5333,5332,5329,5328,5321,5319,5314,5310,5307,5307,5299,5292,5291,5287,5287,5286,5286,5281,5278,5273,5270,5268,5266,5259,5256,5250,5249,5249,5244,5244,5243,5241,5236,5235,5233,5231,5219,5219,5216,5215,5213,5209,5208,5208,5206,5202,5197,5194,5191,5189,5189,5188,5185,5184,5182,5171,5171,5170,5167,5162,5160,5160,5160,5160,5160,5157,5157,5155,5154,5154,5153,5146,5145,5142,5142,5140,5140,5137,5136,5136,5136,5136,5131,5129,5125,5124,5122,5122,5121,5121,5120,5109,5107,5106,5095,5093,5085,5078,5074,5072,5072,5071,5071,5070,5066,5066,5065,5063,5062,5056,5051,5051,5051,5050,5050,5047,5046,5044,5030,5029,5023,5020,5014,5010,5007,5006,5004],[629526,497484,448593,423854,413145,316679,304191,291209,285487,237377,236426,208180,181655,168601,147398,119329,115057,109175,107754,98801,96356,93546,93443,85446,85302,83280,80119,79370,77202,74170,69665,68910,58925,56645,55793,48230,47738,45055,44559,44451,42867,36632,32540,30517,23572,22556,21587,21311,18299,18268,17641,17469,17301,17243,17133,17059,16956,16937,16711,16506,16349,15854,15552,15367,14872,14824,14792,14446,14426,14243,14191,14143,14006,13915,13870,13857,13491,13384,13336,13216,13204,13038,12831,12503,12440,12357,12321,12193,12098,11877,11817,11784,11774,11728,11550,11482,11462,11401,11341,11270,11200,11197,11189,11184,11158,11094,11093,11041,11002,10904,10861,10814,10740,10730,10729,10725,10703,10638,10637,10634,10577,10461,10459,10414,10407,10326,10322,10317,10309,10304,10298,10289,10115,10070,10035,10031,9979,9949,9942,9935,9914,9912,9905,9865,9772,9770,9729,9717,9683,9672,9642,9583,9469,9463,9450,9433,9432,9431,9424,9423,9383,9374,9340,9326,9322,9322,9317,9268,9257,9223,9220,9143,9074,9061,9051,9020,8991,8812,8794,8779,8758,8728,8709,8706,8703,8694,8632,8625,8610,8602,8597,8581,8531,8524,8508,8500,8495,8492,8492,8438,8429,8422,8393,8389,8387,8361,8340,8331,8319,8305,8280,8279,8180,8178,8135,8131,8087,8044,8001,7998,7986,7966,7956,7949,7925,7910,7893,7881,7873,7864,7854,7813,7773,7767,7744,7735,7712,7710,7654,7653,7620,7615,7579,7577,7566,7539,7538,7528,7520,7512,7496,7495,7473,7465,7458,7444,7441,7420,7396,7372,7340,7298,7294,7288,7263,7261,7259,7254,7246,7233,7231,7219,7218,7212,7210,7208,7183,7180,7174,7174,7167,7167,7161,7158,7151,7132,7101,7089,7084,7039,7037,7028,7026,7024,7019,7015,7011,7005,7000,6998,6994,6980,6962,6956,6938,6935,6931,6921,6909,6908,6904,6899,6899,6892,6883,6872,6831,6800,6777,6774,6758,6753,6746,6736,6731,6728,6714,6700,6678,6677,6675,6674,6674,6664,6658,6654,6649,6643,6639,6624,6618,6616,6616,6615,6612,6592,6589,6570,6560,6545,6544,6493,6473,6470,6468,6468,6448,6441,6435,6434,6420,6418,6415,6413,6397,6392,6389,6389,6383,6373,6346,6321,6308,6306,6301,6292,6279,6273,6269,6260,6258,6242,6241,6224,6222,6220,6211,6205,6176,6174,6167,6158,6146,6143,6129,6128,6120,6119,6118,6116,6112,6111,6095,6093,6087,6068,6066,6057,6056,6052,6041,6018,6018,6013,6003,5997,5992,5991,5973,5971,5968,5930,5925,5924,5901,5897,5895,5895,5887,5874,5867,5860,5858,5857,5844,5843,5830,5822,5821,5821,5821,5818,5816,5810,5797,5779,5777,5777,5776,5763,5753,5747,5743,5742,5732,5724,5724,5722,5718,5716,5715,5708,5704,5701,5700,5695,5692,5668,5667,5654,5649,5648,5642,5639,5617,5613,5609,5601,5598,5596,5592,5571,5550,5547,5541,5537,5533,5531,5525,5524,5516,5512,5511,5502,5496,5489,5476,5473,5462,5453,5450,5445,5420,5392,5391,5385,5378,5371,5371,5369,5367,5362,5354,5354,5353,5352,5352,5347,5343,5338,5333,5333,5327,5310,5303,5297,5295,5290,5284,5280,5275,5272,5266,5261,5259,5250,5244,5241,5238,5233,5226,5226,5216,5209,5202,5198,5193,5193,5187,5185,5171,5137,5130,5113,5112,5090,5088,5087,5085,5082,5081,5080,5079,5079,5076,5072,5067,5056,5054,5050,5049,5046,5046,5040,5039,5034,5030,5023,5019,5019,5019,5014,5008,5002],[1897668,1335758,1226549,1118226,999237,905714,880218,617911,559516,475789,461422,363947,331650,320884,303910,270989,239967,234514,193744,188783,188654,184779,180509,177781,173006,153542,152639,132559,131733,125669,111891,107898,106879,102424,102423,102295,95445,92435,90599,90207,83102,81578,81363,79818,76014,74331,70965,64441,61993,61078,59243,58494,57605,57312,55240,55103,55090,54650,53368,52786,51785,49636,48695,47996,47359,46706,45951,45411,44848,44343,42358,42234,41391,40476,39791,38158,37210,37186,36828,35737,35733,35629,34094,33966,33776,33346,33322,33245,33233,33023,32783,32659,32060,31331,30186,30104,30039,29169,29124,28955,28770,28613,28542,28399,28282,28136,27906,27748,27359,26802,26351,25907,25782,25562,25392,25379,25249,24708,24557,24511,24502,24390,24158,24140,24051,24005,23874,22675,22431,22390,22300,22068,21995,21746,21679,21474,21097,20955,20818,20631,20556,20270,20154,19743,19674,19657,19645,19528,19389,19270,19053,18893,18736,18579,18510,18249,18152,18116,18108,18071,18002,17980,17794,17652,17617,17517,17434,17385,17338,17221,17133,17101,16926,16900,16567,16440,16419,16417,16405,16381,16347,16288,16234,16225,16078,16067,15944,15869,15841,15691,15684,15324,15183,15143,15134,15105,15038,15033,15021,14986,14933,14893,14773,14742,14696,14682,14619,14617,14577,14574,14405,14369,14216,14113,14095,14044,13956,13900,13878,13846,13653,13618,13561,13477,13414,13354,13349,13306,13287,13158,13071,12993,12988,12945,12885,12714,12696,12672,12630,12626,12592,12565,12413,12401,12373,12245,12224,12219,12213,12147,12134,11997,11963,11956,11819,11789,11750,11719,11635,11630,11579,11484,11478,11478,11468,11350,11310,11303,11219,11170,11153,11126,11104,11096,11078,11062,11025,11005,10933,10888,10834,10784,10727,10725,10682,10564,10537,10526,10494,10485,10475,10470,10397,10356,10326,10263,10235,10121,10111,10007,9934,9831,9818,9813,9805,9803,9789,9754,9734,9716,9712,9702,9694,9689,9685,9680,9648,9569,9556,9553,9515,9461,9384,9361,9323,9290,9253,9205,9197,9153,9143,9125,9082,9050,9027,8971,8967,8961,8943,8941,8915,8888,8884,8859,8839,8833,8826,8743,8727,8716,8715,8699,8689,8687,8678,8610,8581,8572,8543,8535,8535,8532,8498,8408,8407,8397,8247,8227,8205,8176,8171,8163,8163,8113,8109,8104,8063,8059,7912,7841,7838,7835,7830,7827,7817,7812,7812,7781,7779,7761,7742,7719,7682,7653,7635,7617,7612,7585,7555,7541,7516,7491,7490,7479,7441,7430,7426,7395,7394,7391,7342,7322,7317,7316,7304,7299,7263,7254,7188,7162,7147,7132,7106,7100,7097,7066,7065,7065,7039,7036,7023,6984,6972,6950,6931,6909,6897,6896,6816,6782,6757,6752,6738,6717,6708,6708,6672,6657,6648,6645,6621,6618,6608,6592,6563,6551,6550,6539,6530,6455,6428,6414,6411,6392,6383,6381,6361,6349,6343,6320,6318,6305,6301,6295,6278,6229,6213,6212,6209,6190,6184,6164,6144,6132,6104,6100,6095,6047,6035,6019,6018,5954,5943,5906,5892,5872,5856,5843,5778,5766,5747,5724,5721,5698,5692,5682,5674,5661,5654,5635,5632,5621,5593,5593,5592,5584,5575,5568,5565,5565,5510,5509,5493,5492,5486,5470,5467,5447,5435,5419,5408,5407,5404,5391,5375,5355,5354,5349,5333,5332,5330,5317,5316,5302,5287,5280,5277,5275,5237,5235,5231,5219,5201,5177,5174,5163,5144,5132,5128,5127,5126,5124,5093,5088,5075,5051,5028,5026,5021],[295603,286863,280625,252904,224535,212886,199389,188670,167475,166458,159706,155013,151891,149813,144909,138410,137210,129857,124100,123497,121806,119932,118961,118895,117583,117305,115284,101227,100869,95258,94767,91244,88374,80943,79236,78276,75902,75706,75418,75234,75189,75032,74823,74507,72733,72091,71467,70204,70148,69196,69093,69000,68021,67852,67426,66957,66561,66151,65681,64154,63499,63100,62617,62227,61740,59262,58870,58527,57962,57518,57450,56917,56676,55489,55299,55247,53917,53909,53902,52783,52504,52462,52447,51151,50908,50768,50402,50166,49381,49377,49168,48942,48794,48472,48131,47755,47644,46779,46637,46303,46068,45926,45799,44945,44814,44789,44780,44619,44510,44319,44130,44062,43468,43013,42882,42758,41943,41786,40760,40624,40606,40560,40487,39847,39828,39359,39072,39005,38930,38741,38728,38691,38556,38555,38237,38039,37803,37710,37676,37544,37478,37243,37040,36673,36660,36617,36606,36586,36543,36470,36344,36301,35996,35568,35515,35501,35437,34652,34307,34052,34018,33973,33357,33248,33044,32776,32663,32653,31547,31486,31413,31255,31197,31133,31038,31000,30775,30567,30347,30315,30238,30160,30082,29984,29717,29584,29355,29024,28933,28911,28896,28671,28634,28564,28186,28134,28088,28054,27964,27762,27657,27571,27382,27319,27278,27097,27085,27040,26491,26356,26122,26037,25941,25923,25841,25824,25609,25558,25425,25284,25272,25195,25194,24951,24938,24828,24773,24635,24631,24548,24546,24545,24543,24374,24180,24113,24007,23818,23779,23772,23751,23681,23612,23525,23514,23454,23352,23317,23205,23203,23167,23147,23078,23056,23054,23010,22983,22863,22734,22469,22453,22423,22316,22315,22311,22307,22287,22190,22147,22099,22098,22045,21962,21940,21920,21920,21909,21851,21739,21540,21479,21461,21409,21320,21246,21160,21046,21035,21005,20932,20920,20874,20854,20814,20771,20710,20694,20527,20511,20463,20406,20389,20356,20351,20347,20307,20298,20284,20229,20201,20169,20060,20038,19984,19792,19718,19715,19694,19556,19464,19243,19123,19047,19030,19020,18986,18913,18830,18819,18803,18787,18785,18725,18621,18467,18360,18358,18324,18265,18261,18212,18147,18049,18046,17925,17867,17861,17850,17824,17812,17731,17650,17639,17605,17538,17516,17444,17442,17368,17343,17275,17274,17128,17122,17119,17074,16967,16899,16858,16838,16822,16762,16746,16741,16546,16518,16492,16446,16439,16421,16410,16287,16279,16269,16092,16061,16049,15995,15989,15965,15847,15806,15790,15785,15761,15758,15741,15720,15715,15690,15593,15546,15533,15527,15511,15464,15457,15454,15387,15300,15209,15167,15108,15103,15081,15060,15053,14969,14958,14939,14847,14821,14795,14776,14767,14728,14697,14694,14670,14611,14587,14573,14558,14536,14511,14473,14452,14423,14422,14408,14376,14351,14342,14331,14319,14313,14300,14269,14240,14235,14196,14187,14165,14149,14139,14075,14070,14059,14053,14034,13998,13977,13973,13908,13897,13884,13827,13817,13734,13689,13664,13662,13658,13651,13645,13642,13641,13619,13583,13548,13522,13517,13464,13449,13405,13385,13375,13367,13360,13321,13271,13253,13250,13229,13217,13191,13155,13150,13133,13121,13119,13104,13096,13094,13063,13043,13038,13035,13026,12998,12969,12961,12960,12956,12914,12899,12862,12851,12851,12809,12790,12790,12784,12778,12755,12745,12741,12735,12694,12663,12652,12640,12632,12613,12605,12585,12582,12573,12572,12562,12552,12532,12527,12525,12501,12482,12467,12465,12438,12418,12401,12378,12363,12348,12310,12296,12293,12288,12273,12263,12260,12236,12223,12186,12176,12157,12152,12127,12085,12076,12031,12025,12022,12021,11986,11980,11967,11967,11953,11940,11925,11916,11914,11903,11902,11891,11881,11866,11861,11805,11798,11769,11738,11734,11732,11661,11649,11637,11627,11623,11620,11601,11580,11561,11559,11559,11555,11541,11521,11490,11479,11478,11475,11420,11402,11397,11380,11379,11356,11355,11344,11337,11318,11302,11284,11280,11273,11273,11267,11202,11192,11180,11131,11075,10989,10989,10987,10977,10969,10917,10912,10907,10906,10895,10878,10876,10875,10869,10851,10836,10826,10821,10820,10816,10813,10805,10784,10784,10780,10766,10753,10745,10742,10731,10723,10686,10685,10683,10674,10663,10658,10650,10643,10631,10596,10587,10560,10553,10530,10512,10496,10494,10486,10481,10479,10477,10476,10464,10439,10437,10437,10432,10429,10423,10421,10411,10410,10400,10351,10340,10339,10329,10309,10255,10248,10246,10237,10233,10224,10223,10203,10167,10162,10145,10137,10127,10124,10124,10110,10089,10076,10064,10061,10041,10039,10001,9990,9988,9977,9976,9971,9968,9965,9965,9926,9920,9914,9910,9902,9899,9894,9885,9884,9883,9863,9862,9859,9859,9855,9853,9846,9840,9839,9837,9827,9820,9819,9801,9793,9789,9782,9772,9760,9757,9752,9750,9747,9731,9730,9730,9729,9718,9702,9686,9657,9638,9622,9620,9601,9600,9571,9567,9557,9554,9552,9547,9535,9532,9522,9517,9516,9513,9511,9458,9444,9420,9418,9402,9401,9401,9369,9364,9359,9355,9346,9327,9326,9319,9318,9295,9279,9271,9260,9259,9255,9247,9228,9222,9219,9213,9204,9194,9182,9166,9164,9146,9144,9143,9119,9118,9118,9114,9104,9088,9077,9068,9045,9043,9041,9035,9029,9026,9022,9018,9014,9013,9007,9002,8999,8998,8991,8985,8984,8978,8976,8968,8967,8964,8960,8951,8941,8926,8912,8901,8901,8897,8895,8894,8891,8888,8885,8884,8882,8873,8864,8858,8855,8850,8844,8839,8839,8831,8829,8828,8827,8824,8820,8811,8810,8802,8800,8797,8791,8788,8783,8779,8769,8768,8761,8760,8752,8745,8742,8735,8735,8729,8728,8723,8723,8720,8719,8715,8709,8705,8701,8690,8689,8680,8678,8678,8677,8673,8667,8667,8666,8659,8657,8648,8641,8639,8637,8633,8633,8603,8597,8594,8583,8583,8570,8569,8566,8561,8551,8539,8538,8513,8505,8492,8487,8455,8455,8454,8449,8447,8446,8441,8441,8438,8433,8420,8417,8417,8410,8383,8376,8375,8371,8371,8363,8362,8360,8356,8322,8321,8319,8319,8316,8314,8310,8310,8293,8287,8283,8282,8278,8274,8259,8259,8258,8254,8251,8248,8246,8243,8243,8234,8228,8223,8220,8217,8215,8209,8201,8196,8195,8190,8177,8167,8160,8155,8143,8136,8132,8115,8110,8107,8095,8086,8081,8079,8077,8075,8074,8071,8071,8067,8062,8051,8043,8039,8029,8025,8005,8005,8004,7996,7987,7985,7985,7972,7970,7969,7953,7952,7944,7943,7934,7933,7930,7927,7914,7901,7899,7899,7899,7892,7891,7888,7879,7863,7856,7849,7841,7838,7837,7835,7834,7828,7818,7817,7816,7807,7804,7800,7800,7798,7797,7795,7790,7785,7778,7777,7776,7769,7764,7760,7759,7757,7753,7749,7749,7738,7736,7732,7728,7723,7723,7722,7719,7715,7701,7699,7697,7694,7685,7678,7677,7673,7661,7661,7651,7646,7645,7642,7641,7636,7631,7629,7629,7627,7624,7618,7615,7615,7608,7607,7601,7600,7600,7600,7599,7597,7594,7591,7580,7573,7567,7560,7559,7556,7556,7544,7529,7529,7528,7526,7523,7520,7520,7510,7506,7501,7494,7494,7493,7491,7487,7486,7483,7481,7478,7478,7460,7459,7454,7451,7449,7443,7439,7435,7434,7433,7425,7416,7409,7400,7396,7391,7391,7390,7390,7390,7386,7379,7378,7373,7365,7362,7360,7346,7345,7340,7336,7335,7332,7328,7325,7320,7317,7314,7311,7306,7303,7299,7298,7295,7295,7294,7293,7290,7289,7284,7284,7282,7276,7270,7263,7255,7251,7249,7246,7244,7243,7240,7229,7227,7226,7211,7196,7196,7194,7192,7191,7185,7176,7169,7168,7158,7145,7143,7138,7135,7134,7133,7130,7127,7126,7122,7109,7107,7099,7096,7093,7092,7091,7091,7090,7082,7070,7049,7049,7041,7040,7040,7036,7036,7035,7032,7025,7021,7018,7017,7016,7015,6997,6993,6993,6987,6983,6979,6978,6972,6972,6970,6970,6970,6968,6963,6957,6957,6956,6954,6943,6935,6929,6929,6928,6914,6913,6901,6895,6891,6881,6872,6869,6868,6867,6866,6864,6860,6860,6850,6844,6839,6834,6832,6823,6821,6819,6810,6802,6801,6799,6798,6794,6794,6794,6793,6793,6791,6790,6790,6785,6785,6782,6778,6777,6768,6766,6764,6762,6762,6760,6759,6757,6757,6754,6748,6747,6746,6745,6741,6741,6733,6732,6727,6724,6720,6718,6716,6712,6712,6710,6708,6695,6691,6682,6679,6677,6677,6676,6673,6670,6666,6661,6660,6660,6654,6652,6651,6645,6638,6635,6634,6630,6625,6621,6611,6609,6599,6599,6598,6595,6593,6592,6590,6589,6585,6583,6580,6580,6580,6579,6577,6573,6565,6564,6562,6560,6554,6549,6546,6538,6538,6532,6531,6529,6522,6520,6515,6515,6513,6511,6508,6508,6504,6504,6500,6497,6496,6493,6491,6484,6482,6478,6467,6467,6466,6463,6456,6455,6452,6450,6450,6447,6441,6437,6435,6433,6432,6429,6429,6425,6407,6405,6404,6402,6385,6378,6372,6370,6369,6362,6359,6359,6357,6356,6355,6355,6355,6353,6352,6351,6346,6344,6342,6342,6341,6341,6332,6331,6330,6328,6319,6319,6316,6314,6314,6311,6308,6308,6306,6298,6298,6298,6295,6295,6291,6290,6287,6285,6285,6284,6282,6278,6277,6271,6270,6270,6270,6270,6269,6262,6261,6259,6256,6251,6244,6237,6228,6227,6225,6224,6221,6219,6218,6211,6211,6206,6206,6204,6197,6195,6191,6191,6188,6188,6188,6186,6186,6185,6185,6184,6181,6180,6178,6174,6174,6174,6172,6172,6171,6168,6165,6161,6161,6158,6157,6150,6149,6148,6147,6147,6146,6143,6141,6137,6136,6133,6132,6129,6125,6117,6114,6113,6106,6102,6101,6095,6092,6087,6087,6087,6084,6083,6081,6078,6077,6074,6072,6071,6071,6070,6069,6067,6067,6065,6057,6054,6049,6047,6043,6041,6038,6036,6035,6031,6009,6008,6006,6006,6005,6002,6000,5999,5998,5997,5996,5992,5990,5990,5989,5988,5985,5984,5979,5976,5975,5973,5971,5970,5968,5966,5964,5962,5961,5960,5957,5956,5953,5951,5950,5949,5947,5945,5936,5936,5935,5935,5932,5930,5928,5927,5925,5913,5912,5909,5908,5907,5905,5905,5904,5902,5900,5900,5893,5892,5890,5886,5885,5885,5884,5881,5881,5880,5880,5878,5878,5877,5877,5876,5876,5875,5875,5875,5874,5873,5861,5858,5852,5852,5849,5847,5844,5841,5839,5838,5835,5834,5834,5832,5831,5831,5828,5828,5828,5826,5826,5826,5820,5814,5814,5811,5810,5808,5806,5804,5801,5796,5795,5793,5787,5785,5782,5778,5775,5774,5772,5771,5769,5768,5764,5762,5759,5758,5756,5755,5755,5753,5745,5744,5743,5740,5734,5729,5729,5720,5717,5717,5717,5714,5714,5712,5711,5708,5706,5705,5704,5703,5699,5693,5689,5688,5688,5685,5683,5682,5682,5680,5680,5678,5673,5673,5673,5672,5670,5669,5669,5668,5665,5664,5661,5659,5658,5658,5652,5649,5644,5644,5633,5629,5628,5628,5627,5622,5621,5617,5617,5616,5614,5612,5611,5609,5608,5604,5598,5596,5589,5588,5587,5586,5582,5577,5576,5576,5574,5573,5573,5572,5570,5570,5569,5566,5566,5566,5564,5564,5562,5560,5558,5557,5550,5548,5548,5544,5544,5544,5539,5522,5521,5519,5517,5517,5514,5514,5513,5512,5512,5512,5509,5509,5505,5501,5501,5500,5495,5492,5488,5486,5486,5485,5485,5484,5484,5482,5482,5481,5480,5478,5472,5472,5471,5470,5466,5465,5462,5460,5454,5454,5444,5440,5440,5440,5439,5439,5438,5438,5437,5437,5434,5434,5433,5428,5428,5427,5426,5421,5420,5420,5418,5417,5413,5412,5411,5408,5405,5405,5404,5401,5399,5396,5394,5392,5388,5385,5382,5380,5376,5376,5373,5371,5368,5366,5365,5360,5359,5359,5359,5355,5355,5355,5355,5351,5349,5348,5347,5347,5346,5344,5343,5342,5342,5341,5339,5337,5335,5331,5331,5330,5329,5328,5326,5325,5324,5323,5321,5319,5317,5314,5314,5313,5313,5311,5310,5308,5307,5306,5302,5302,5300,5300,5299,5299,5299,5298,5296,5294,5290,5290,5290,5289,5284,5284,5282,5280,5280,5280,5278,5275,5273,5273,5272,5270,5266,5265,5263,5261,5259,5259,5258,5257,5250,5249,5249,5245,5238,5237,5236,5234,5233,5230,5229,5229,5228,5225,5224,5222,5221,5220,5217,5216,5215,5215,5214,5214,5212,5212,5211,5210,5209,5209,5208,5208,5206,5201,5199,5199,5196,5195,5195,5191,5189,5188,5184,5183,5183,5183,5182,5179,5176,5173,5173,5172,5170,5166,5166,5164,5163,5161,5158,5158,5157,5155,5152,5150,5144,5144,5143,5141,5138,5137,5135,5135,5134,5134,5132,5131,5128,5128,5127,5126,5120,5111,5110,5110,5106,5106,5106,5100,5100,5098,5098,5097,5096,5094,5093,5092,5091,5090,5088,5088,5086,5086,5083,5082,5080,5079,5077,5074,5073,5072,5070,5070,5070,5069,5067,5066,5065,5062,5061,5060,5058,5058,5057,5057,5051,5049,5046,5045,5044,5043,5042,5038,5033,5030,5030,5030,5028,5025,5020,5018,5016,5016,5008,5005,5003],[707197,520841,447953,433083,310184,289187,282053,277143,266736,247167,246856,235623,200840,194194,190486,176126,150344,137844,124236,118009,115044,113673,107877,104712,87918,85777,75928,75183,74808,69521,68344,65588,64238,61616,59619,56487,56418,55840,54492,52513,52507,52305,51545,51524,49232,48539,48003,47221,46877,46498,44606,44305,44067,43212,43206,42230,41870,41802,40942,40020,39889,38682,38552,38047,37738,37584,37548,37159,37074,36826,36612,36546,36308,36236,35694,35435,35186,35100,34457,34235,34232,34192,34121,33966,33748,33663,33618,33534,33339,33319,33096,32686,32641,32596,32228,32194,31915,31725,31677,31541,31329,31151,30677,30506,30375,30334,30051,30001,29374,28770,28723,28692,28452,27938,27876,27784,27400,27265,27129,27081,27026,26983,26668,26611,26524,26367,26203,26124,26041,26017,25581,25417,25391,25185,25056,25027,25011,24890,24875,24805,24724,24517,24136,24116,23690,23588,23558,23458,23297,23278,23268,23106,23096,22646,22633,22537,22444,22242,21952,21931,21868,21673,21633,21485,21391,21358,21251,21115,21045,20993,20978,20936,20899,20683,20541,20311,20304,20234,20208,20202,20181,20155,19982,19926,19902,19826,19568,19511,19491,19311,19261,19253,19171,19148,19081,18960,18945,18901,18901,18892,18758,18675,18596,18557,18443,18430,18368,18276,18262,18259,18212,18150,18084,18064,18003,17978,17867,17753,17750,17746,17732,17654,17610,17591,17571,17529,17364,17322,17313,17225,17177,17136,17078,17037,17035,16998,16875,16865,16861,16848,16797,16668,16482,16445,16394,16381,16292,16224,16172,16103,16091,16081,15942,15936,15914,15912,15788,15777,15777,15764,15698,15629,15527,15513,15499,15432,15407,15350,15324,15279,15160,15133,15065,15055,14944,14909,14901,14899,14883,14843,14746,14722,14623,14568,14526,14522,14472,14466,14293,14279,14217,14207,14204,14159,14130,14085,14040,14011,13997,13982,13966,13894,13866,13865,13849,13815,13759,13751,13711,13700,13654,13649,13594,13588,13533,13500,13498,13461,13414,13370,13359,13350,13349,13336,13323,13320,13272,13251,13219,13209,13191,13152,13069,12955,12915,12894,12831,12818,12779,12776,12751,12684,12683,12661,12627,12626,12571,12570,12553,12529,12504,12472,12435,12434,12388,12296,12291,12277,12138,12136,12108,12104,12074,11980,11951,11946,11934,11898,11825,11822,11756,11700,11690,11666,11666,11600,11546,11544,11541,11530,11527,11516,11470,11446,11410,11393,11390,11352,11332,11240,11239,11238,11155,11142,11128,11123,11119,11060,11037,11026,11012,11005,10985,10961,10918,10915,10788,10783,10753,10676,10661,10624,10598,10582,10524,10520,10499,10457,10448,10391,10388,10387,10376,10361,10299,10266,10227,10218,10216,10161,10148,10118,10098,10094,10058,10008,9967,9902,9867,9709,9698,9693,9673,9589,9583,9580,9576,9552,9547,9522,9481,9480,9478,9467,9451,9432,9421,9411,9401,9384,9365,9348,9305,9303,9285,9237,9211,9210,9192,9177,9134,9130,9130,9094,9072,9069,9045,9041,9013,8970,8966,8963,8907,8890,8812,8795,8786,8780,8756,8746,8724,8713,8704,8654,8638,8635,8612,8601,8595,8588,8548,8528,8514,8504,8502,8499,8493,8493,8444,8410,8410,8406,8381,8351,8338,8311,8296,8214,8210,8198,8185,8163,8100,8087,8075,8073,8070,8040,8036,8024,7981,7968,7928,7925,7918,7910,7902,7892,7878,7860,7852,7835,7809,7787,7778,7778,7776,7775,7774,7773,7769,7767,7752,7749,7737,7717,7689,7661,7655,7617,7609,7591,7591,7587,7569,7565,7564,7556,7507,7505,7498,7491,7480,7474,7460,7460,7458,7447,7438,7438,7433,7429,7429,7421,7396,7372,7357,7356,7317,7314,7310,7289,7279,7279,7262,7238,7182,7172,7146,7113,7108,7092,7076,7064,7062,7051,7017,7014,7005,6993,6988,6983,6976,6968,6963,6957,6953,6947,6917,6914,6907,6894,6890,6868,6866,6836,6823,6819,6808,6795,6793,6780,6767,6765,6763,6720,6699,6697,6686,6679,6661,6660,6645,6624,6607,6579,6578,6561,6554,6546,6491,6472,6470,6469,6459,6458,6442,6439,6422,6404,6373,6360,6354,6351,6347,6344,6332,6289,6277,6253,6246,6224,6220,6212,6197,6171,6155,6155,6139,6136,6133,6124,6123,6115,6107,6101,6093,6091,6079,6073,6069,6063,6060,6057,6011,6008,5982,5975,5973,5970,5959,5956,5935,5920,5911,5905,5894,5892,5891,5876,5876,5871,5845,5833,5830,5829,5822,5811,5808,5797,5787,5781,5776,5774,5769,5761,5757,5755,5753,5745,5734,5727,5715,5711,5692,5656,5638,5631,5627,5625,5620,5615,5608,5595,5590,5562,5554,5553,5537,5535,5528,5525,5522,5518,5516,5511,5502,5469,5467,5463,5461,5441,5430,5423,5420,5419,5416,5410,5399,5395,5395,5392,5389,5379,5357,5352,5345,5340,5335,5335,5332,5332,5329,5328,5316,5303,5301,5300,5300,5278,5278,5272,5268,5261,5230,5229,5203,5197,5185,5183,5178,5174,5172,5169,5155,5154,5134,5132,5130,5119,5118,5109,5107,5106,5103,5100,5090,5090,5074,5072,5065,5064,5061,5058,5056,5049,5044,5043,5035,5031,5023,5022,5020,5013,5009,5007,5000],[1128029,860781,363740,278047,268337,220611,184730,164971,154261,152472,142224,114101,113446,102368,95929,88237,88045,81823,80983,78121,78018,73667,71172,69897,69619,69507,68950,67773,67067,66026,64643,63838,61771,60419,59415,58072,57792,57109,54834,54624,54516,54368,52027,50651,49164,48660,48203,47451,46490,45756,44499,44086,43424,42821,42378,42255,42128,41671,41081,41041,40783,40333,40317,39483,39104,38931,38735,38564,38414,38011,37587,37222,36435,36281,36187,36003,35850,35769,35034,33441,32614,31671,31586,31530,31303,31081,30427,29731,29703,29252,28823,28598,28554,28510,28451,28441,28339,28242,28097,27992,27439,27316,27052,26858,26800,26523,26334,26325,26055,26025,25562,25547,25335,25298,25074,25060,25015,24731,24707,24680,24492,24358,24266,24208,24071,23724,23645,23361,23293,23270,23241,23238,23111,22834,22729,22726,22663,22655,22571,22554,22393,22344,22233,21879,21809,21575,21509,21174,20963,20889,20765,20674,20670,20653,20650,20464,20438,20417,20336,20327,20199,20159,20110,20091,19997,19931,19819,19610,19601,19566,19562,19477,19395,19369,19323,19285,19274,19215,19178,19105,19023,18951,18881,18827,18768,18710,18707,18617,18547,18537,18536,18497,18457,18444,18433,18397,18354,18322,18062,17979,17915,17900,17868,17840,17826,17806,17791,17750,17742,17738,17388,17381,17286,17227,17215,17185,17073,17011,16978,16958,16873,16803,16803,16708,16691,16664,16637,16613,16554,16509,16509,16468,16467,16448,16427,16319,16255,16210,16159,16151,16126,16068,16037,16019,15978,15936,15914,15912,15890,15883,15881,15872,15856,15822,15743,15741,15723,15713,15621,15594,15588,15576,15574,15529,15451,15394,15380,15328,15288,15273,15219,15217,15199,15186,15157,15093,15068,15049,14930,14878,14877,14861,14830,14744,14717,14650,14621,14539,14494,14491,14463,14451,14421,14419,14396,14365,14301,14224,14211,14194,14138,14094,14027,14027,14011,14007,13958,13917,13891,13889,13836,13835,13808,13802,13799,13787,13723,13713,13682,13621,13620,13596,13583,13558,13542,13541,13501,13497,13490,13476,13459,13455,13452,13409,13389,13380,13379,13341,13338,13328,13282,13261,13221,13206,13185,13151,13101,13081,13072,13063,13045,13019,13017,13012,13009,13000,12974,12972,12959,12957,12930,12875,12870,12862,12856,12759,12758,12754,12750,12744,12703,12664,12660,12659,12638,12630,12584,12575,12555,12537,12527,12481,12476,12465,12463,12459,12456,12451,12444,12439,12383,12379,12366,12364,12356,12342,12329,12320,12251,12225,12201,12193,12193,12191,12154,12150,12120,12092,12091,12069,12061,12050,12043,12033,12016,12015,12013,11963,11944,11925,11924,11923,11920,11874,11867,11861,11795,11793,11787,11787,11771,11742,11728,11676,11653,11651,11648,11633,11630,11624,11611,11603,11585,11556,11546,11543,11537,11535,11506,11493,11490,11486,11486,11480,11437,11420,11416,11405,11340,11320,11289,11273,11271,11257,11251,11242,11225,11213,11166,11159,11148,11132,11114,11108,11083,11080,11078,11035,11013,11011,10999,10999,10991,10986,10957,10953,10933,10933,10928,10922,10920,10913,10899,10872,10861,10851,10846,10838,10819,10811,10784,10765,10762,10761,10761,10761,10760,10758,10746,10743,10709,10707,10707,10697,10692,10659,10657,10640,10639,10626,10625,10607,10607,10606,10563,10544,10543,10529,10519,10517,10512,10510,10432,10424,10413,10392,10391,10357,10354,10351,10341,10338,10318,10308,10299,10298,10292,10285,10280,10276,10257,10212,10207,10201,10180,10178,10163,10126,10114,10108,10097,10096,10084,10074,10060,10060,10051,10043,10040,10035,10034,10020,10019,10016,10009,10006,10002,9998,9988,9973,9971,9965,9963,9942,9939,9937,9921,9916,9911,9904,9894,9893,9891,9890,9879,9879,9875,9874,9865,9864,9861,9844,9842,9837,9836,9807,9801,9798,9794,9775,9773,9764,9763,9763,9762,9748,9747,9742,9699,9694,9689,9688,9665,9661,9653,9652,9617,9614,9607,9602,9584,9578,9563,9560,9546,9522,9521,9518,9500,9484,9460,9440,9434,9422,9401,9390,9367,9363,9346,9341,9339,9333,9324,9315,9303,9286,9276,9265,9253,9234,9220,9208,9204,9200,9170,9162,9161,9157,9155,9146,9138,9137,9131,9126,9111,9107,9102,9079,9074,9073,9069,9053,9051,9048,9044,9011,9009,8975,8975,8972,8971,8971,8968,8958,8957,8950,8937,8927,8926,8917,8912,8910,8905,8864,8861,8855,8853,8851,8846,8841,8841,8814,8805,8801,8789,8777,8774,8767,8764,8758,8753,8750,8727,8714,8707,8683,8674,8673,8664,8635,8626,8619,8616,8612,8608,8543,8540,8529,8525,8520,8518,8501,8496,8494,8492,8487,8484,8480,8474,8458,8455,8452,8451,8447,8430,8429,8425,8408,8404,8392,8376,8352,8339,8333,8331,8322,8319,8314,8303,8299,8292,8272,8271,8259,8256,8251,8241,8240,8233,8212,8209,8208,8204,8178,8167,8161,8143,8142,8128,8124,8119,8116,8111,8111,8100,8098,8095,8092,8081,8074,8071,8050,8048,8048,8032,8021,8019,8018,8012,8007,7971,7963,7956,7940,7935,7926,7920,7918,7913,7896,7891,7890,7887,7885,7866,7865,7855,7851,7850,7849,7839,7836,7835,7835,7820,7817,7816,7805,7792,7784,7772,7771,7771,7758,7754,7749,7744,7743,7740,7737,7727,7715,7710,7705,7698,7692,7675,7668,7665,7656,7654,7648,7645,7644,7642,7640,7640,7631,7627,7618,7610,7603,7595,7591,7577,7576,7575,7551,7549,7541,7538,7533,7532,7521,7519,7506,7501,7480,7479,7478,7472,7471,7465,7463,7459,7458,7451,7451,7450,7448,7444,7433,7433,7431,7431,7431,7425,7423,7419,7411,7403,7397,7394,7389,7382,7377,7374,7366,7360,7360,7350,7346,7342,7334,7333,7324,7311,7309,7300,7296,7293,7293,7288,7281,7279,7277,7271,7269,7261,7249,7233,7227,7227,7220,7215,7207,7197,7195,7172,7169,7160,7159,7151,7147,7146,7140,7136,7131,7130,7121,7120,7108,7108,7100,7100,7099,7087,7086,7079,7077,7068,7063,7054,7049,7048,7043,7039,7038,7033,7030,7026,7025,7024,7004,7004,7000,6996,6988,6988,6987,6984,6982,6982,6981,6966,6962,6959,6959,6958,6946,6942,6940,6939,6937,6936,6936,6936,6935,6930,6927,6913,6907,6907,6904,6902,6902,6902,6896,6893,6891,6883,6879,6877,6874,6872,6872,6868,6865,6860,6858,6857,6856,6850,6846,6846,6845,6841,6838,6836,6831,6825,6815,6814,6811,6811,6810,6804,6803,6803,6795,6794,6790,6789,6788,6787,6763,6763,6760,6760,6750,6743,6740,6731,6720,6718,6713,6694,6692,6677,6676,6673,6671,6665,6663,6648,6641,6640,6634,6633,6630,6629,6623,6620,6617,6612,6612,6609,6605,6595,6592,6583,6583,6575,6574,6573,6570,6569,6563,6562,6562,6558,6550,6541,6529,6528,6525,6515,6515,6506,6505,6500,6498,6494,6493,6490,6489,6486,6484,6482,6476,6473,6472,6468,6464,6464,6461,6459,6452,6447,6445,6445,6440,6439,6436,6436,6436,6434,6429,6428,6426,6425,6423,6422,6414,6414,6410,6409,6408,6404,6403,6400,6399,6396,6386,6385,6382,6381,6376,6372,6365,6354,6344,6340,6329,6327,6326,6319,6317,6316,6313,6313,6311,6310,6308,6305,6302,6302,6292,6288,6283,6277,6276,6270,6269,6267,6267,6266,6259,6258,6254,6251,6246,6242,6240,6230,6221,6216,6211,6209,6206,6197,6197,6195,6193,6189,6188,6187,6186,6186,6184,6171,6164,6141,6133,6132,6131,6130,6129,6129,6127,6115,6112,6111,6109,6107,6106,6105,6103,6095,6092,6090,6090,6084,6078,6072,6064,6057,6056,6056,6039,6038,6036,6032,6030,6029,6025,6024,6022,6021,6020,6017,6011,6008,6006,6000,5996,5996,5987,5981,5979,5979,5972,5971,5964,5959,5956,5954,5953,5953,5952,5951,5948,5947,5945,5942,5939,5937,5935,5923,5920,5918,5917,5907,5907,5903,5903,5898,5896,5894,5889,5888,5882,5880,5876,5873,5870,5868,5863,5861,5860,5857,5849,5844,5843,5840,5836,5830,5830,5828,5824,5822,5822,5822,5820,5816,5816,5813,5812,5812,5809,5809,5807,5807,5801,5794,5791,5788,5788,5782,5782,5772,5770,5768,5764,5764,5762,5761,5747,5745,5735,5733,5729,5726,5725,5723,5718,5713,5711,5708,5705,5701,5698,5696,5694,5694,5693,5689,5686,5677,5675,5671,5668,5663,5663,5662,5652,5651,5650,5645,5644,5643,5638,5634,5633,5630,5629,5627,5625,5625,5623,5619,5619,5617,5614,5613,5613,5611,5608,5608,5604,5602,5597,5596,5595,5594,5594,5593,5590,5589,5588,5586,5586,5586,5578,5578,5577,5574,5569,5565,5563,5555,5554,5553,5551,5549,5548,5545,5545,5543,5539,5537,5536,5535,5534,5534,5531,5528,5527,5526,5523,5522,5520,5520,5519,5516,5515,5514,5513,5509,5508,5507,5505,5503,5500,5492,5486,5483,5477,5477,5474,5473,5472,5472,5471,5468,5463,5463,5462,5462,5460,5460,5458,5457,5457,5456,5453,5452,5451,5443,5442,5440,5440,5438,5432,5430,5426,5417,5412,5409,5407,5403,5402,5397,5381,5379,5379,5378,5377,5374,5373,5373,5371,5368,5365,5365,5362,5359,5357,5355,5353,5348,5347,5345,5343,5336,5336,5335,5329,5325,5324,5323,5323,5318,5309,5309,5304,5302,5296,5295,5294,5288,5282,5279,5278,5278,5273,5272,5270,5265,5264,5263,5261,5259,5256,5254,5247,5246,5246,5242,5239,5239,5237,5232,5229,5226,5221,5220,5216,5216,5213,5212,5212,5210,5209,5209,5207,5205,5202,5197,5196,5194,5193,5192,5192,5190,5187,5180,5178,5171,5167,5164,5161,5159,5152,5151,5146,5145,5142,5142,5139,5136,5132,5124,5121,5114,5112,5111,5110,5109,5108,5102,5101,5099,5095,5095,5094,5091,5088,5087,5086,5085,5084,5079,5079,5065,5063,5063,5061,5058,5058,5054,5053,5049,5048,5047,5047,5045,5041,5040,5039,5036,5035,5032,5032,5029,5024,5024,5016,5010,5007,5006,5005,5005,5003,5002,5000],[31803,27894,26125,21754,18073,16480,15210,14596,14287,14050,13937,13723,13006,12867,12813,11994,11950,11921,11835,11787,11660,11650,11585,11258,11245,11182,10922,10913,10775,10748,10601,10585,10431,10420,10397,10359,10341,10167,9983,9886,9578,9487,9465,9453,9415,9406,9311,9252,9185,8990,8980,8971,8932,8928,8805,8748,8722,8710,8709,8629,8596,8530,8507,8470,8458,8451,8426,8321,8311,8309,8293,8265,8236,8200,8171,8124,8121,8105,8094,8088,8084,8058,8052,8005,7996,7980,7905,7897,7876,7860,7845,7804,7774,7759,7732,7731,7730,7724,7710,7704,7693,7681,7649,7641,7603,7584,7566,7552,7510,7509,7502,7490,7488,7484,7478,7439,7438,7436,7413,7405,7376,7355,7344,7322,7290,7247,7235,7230,7221,7156,7146,7139,7101,7096,7076,7062,7022,7018,7006,7001,6981,6973,6927,6921,6904,6896,6886,6865,6855,6846,6822,6793,6782,6770,6763,6746,6731,6716,6702,6682,6660,6641,6606,6579,6564,6560,6552,6534,6530,6513,6502,6501,6500,6477,6470,6457,6428,6412,6409,6394,6384,6375,6370,6351,6331,6329,6311,6309,6299,6297,6290,6266,6259,6257,6256,6252,6231,6213,6200,6196,6190,6180,6179,6172,6172,6168,6162,6143,6131,6131,6127,6119,6119,6101,6095,6094,6091,6085,6080,6062,6061,6057,6036,6013,6011,5997,5994,5993,5971,5971,5945,5941,5938,5929,5923,5919,5916,5914,5905,5846,5832,5814,5801,5769,5768,5764,5763,5745,5741,5738,5728,5725,5717,5713,5708,5697,5688,5685,5683,5674,5672,5661,5659,5649,5647,5634,5620,5619,5598,5588,5572,5572,5568,5540,5535,5513,5512,5490,5476,5474,5438,5435,5433,5429,5416,5413,5408,5406,5404,5388,5378,5376,5372,5362,5352,5330,5312,5310,5306,5299,5297,5294,5294,5277,5275,5269,5264,5260,5249,5244,5239,5236,5226,5223,5221,5220,5207,5202,5190,5189,5185,5185,5184,5184,5173,5149,5148,5139,5129,5122,5120,5119,5118,5102,5091,5086,5069,5067,5061,5059,5057,5035,5034,5032,5010,5003],[297675,161653,125820,115787,110380,109341,105645,105300,95423,95370,93047,92900,87173,86025,85990,85621,85525,84756,82525,81161,79613,77455,77182,75416,75096,73669,68398,67829,66390,65687,65215,64845,64019,63757,60720,59383,57452,56707,56282,55396,54643,54149,53980,53504,52623,52334,51141,50862,50857,50486,48919,48149,47031,46870,46205,46036,45348,45057,44575,44464,44227,43498,43482,43121,41609,41351,40567,40301,40215,39589,38985,38376,38306,37761,37706,36687,35725,35696,35647,34785,34589,33474,33209,32913,32690,32628,32574,32425,31939,31874,31452,31249,31215,31142,31090,30956,30340,30100,29414,29316,29076,29019,28924,28754,28252,28181,28010,27984,27982,27867,27202,27073,27058,27002,26709,26216,26180,26072,26044,25449,25021,24932,24677,24525,24333,23581,23211,23043,22812,22128,22125,21765,21395,20918,20365,20337,20322,20228,19990,19699,19570,19535,19516,19116,19085,18937,18614,18326,18092,17860,17705,17296,17110,16777,16616,16577,16490,16441,16354,16251,16202,15910,15904,15674,15647,15588,15323,15172,15088,14987,14820,14592,13996,13993,13877,13840,13720,13557,13441,13166,12838,12797,12760,12601,12552,12523,12476,12371,12370,11910,11648,11620,11614,11515,11488,11485,11390,11224,11050,10766,10681,10676,10647,10488,10483,10480,10288,10186,10041,9969,9882,9770,9659,9620,9601,9582,9437,9368,9358,9334,9320,9280,9275,9250,9131,9131,8919,8622,8599,8343,8319,8241,8225,8218,8213,8132,8102,8098,8054,8030,8006,8001,7984,7968,7947,7935,7887,7862,7823,7721,7698,7605,7596,7586,7568,7546,7543,7506,7488,7486,7367,7361,7303,7259,7206,7205,7190,7144,7142,7030,7005,6969,6953,6952,6944,6931,6927,6895,6884,6884,6851,6760,6701,6670,6650,6643,6625,6594,6574,6572,6571,6532,6524,6498,6490,6476,6471,6452,6451,6450,6411,6354,6347,6309,6277,6268,6248,6235,6215,6206,6185,6161,6153,6139,6131,6118,6117,6078,6038,5976,5935,5917,5900,5883,5880,5857,5844,5830,5791,5780,5749,5731,5727,5719,5714,5686,5668,5662,5653,5635,5621,5594,5566,5566,5566,5555,5555,5525,5518,5502,5496,5475,5474,5452,5406,5405,5401,5394,5371,5361,5359,5330,5319,5303,5293,5290,5260,5254,5234,5229,5218,5208,5203,5194,5186,5140,5134,5130,5115,5111,5110,5108,5104,5089,5083,5082,5075,5073,5073,5073,5072,5069,5048,5041,5036,5020],[27240,19688,16118,12155,11563,10280,10060,9853,9830,9819,9816,9656,9537,9531,9488,9459,9383,8997,8960,8937,8732,8695,8585,8555,8506,8487,8448,8445,8347,8310,8233,8007,7968,7957,7945,7943,7866,7808,7801,7777,7680,7668,7644,7588,7554,7547,7535,7491,7480,7471,7405,7390,7262,7181,7177,7144,7142,7134,7134,7124,7096,7095,7090,7053,7046,6993,6981,6957,6951,6870,6868,6835,6764,6749,6744,6631,6627,6599,6590,6585,6553,6550,6524,6521,6494,6485,6479,6461,6437,6434,6416,6414,6400,6376,6372,6362,6330,6329,6325,6317,6305,6288,6281,6271,6254,6253,6241,6234,6177,6169,6164,6161,6157,6157,6123,6080,6067,6063,6053,6053,6035,6034,6030,6028,6022,6021,5984,5958,5953,5938,5930,5868,5865,5850,5832,5820,5811,5741,5722,5721,5718,5685,5685,5685,5664,5647,5638,5635,5626,5623,5615,5593,5593,5579,5578,5560,5558,5552,5552,5539,5539,5525,5514,5514,5509,5503,5496,5476,5473,5432,5413,5408,5405,5404,5388,5371,5367,5365,5318,5313,5311,5308,5301,5297,5295,5292,5279,5257,5255,5233,5233,5228,5222,5220,5216,5208,5199,5197,5188,5167,5164,5153,5140,5134,5130,5127,5123,5097,5087,5079,5039,5031,5026,5020,5019,5008,5006,5002],[47168,30242,28556,20718,19317,15237,15154,14464,14206,13613,13055,12279,12077,9779,9449,9265,8464,8211,8080,8071,7849,7732,7728,7463,7133,7132,7000,6991,6442,6162,6022,5719,5700,5672,5478,5452,5446,5430,5415,5307,5280,5202,5129,5112,5111,5074,5042],[57579,45608,13932,9093,8265,6619,6119,5761,5581,5575,5487,5278,5240],[131272,105636,103383,100726,98470,98458,94255,90428,82611,80467,79347,76790,75543,74798,71543,71254,68862,67992,66430,64718,64663,64329,62468,61734,61540,59457,58909,57334,55510,54919,54570,54493,53793,53114,51792,51386,51375,51009,50933,50794,50147,49574,49182,48688,48377,47588,47206,46784,46555,45749,45517,45479,44560,44339,44275,44186,44109,43450,42976,42563,42352,41765,41725,41255,41100,41034,40968,40935,40932,40732,39996,39584,39413,39185,38995,38773,38650,38438,38212,38191,37129,37032,36887,36173,35953,35860,35737,35508,35391,35331,34640,34477,34463,34363,33594,33193,33045,33026,32999,32933,32908,32725,32504,32484,32353,32206,31987,31674,31165,31085,30880,30879,30252,30163,29840,29782,29498,29470,29396,29372,29344,29005,28951,28743,28096,28087,28082,27929,27915,27860,27723,27664,27597,27447,27437,27249,27191,26962,26945,26864,26525,26177,26116,26044,26003,25992,25971,25875,25597,25545,25488,24620,24332,24198,24091,23942,23704,23648,23518,23388,23020,22715,22697,22673,22545,21760,21687,21505,21374,21228,20910,20796,20617,20589,20552,20514,20343,20079,19924,19844,19797,19562,19423,19408,19237,19187,19067,18987,18929,18573,18555,18394,18354,18151,18144,17708,17512,17248,17135,16861,16857,16724,16720,16664,16495,16330,16288,16255,16085,15922,15884,15750,15721,15698,15684,15516,15395,15335,15287,15285,15208,15196,15109,15099,15064,15046,15036,15009,14879,14760,14731,14473,14459,14418,14326,14282,14276,14019,13995,13908,13625,13468,13265,13148,13021,12973,12964,12903,12559,12556,12437,12402,12349,12302,12295,12213,12203,12144,12113,12061,11992,11927,11792,11750,11679,11655,11644,11485,11149,11099,10940,10860,10841,10822,10692,10681,10580,10493,10307,10303,10284,10259,10176,10132,10110,9878,9825,9639,9615,9596,9474,9355,9325,9134,9117,9101,9074,9048,8955,8953,8920,8920,8881,8803,8786,8773,8761,8752,8639,8503,8479,8408,8329,8302,8297,8228,8175,8124,8039,7971,7817,7724,7701,7373,7360,7271,7225,7201,7189,7152,7135,7114,7014,6991,6835,6762,6754,6744,6711,6697,6695,6543,6539,6533,6505,6477,6451,6401,6369,6307,6296,6224,6184,6148,6133,6120,6110,6104,6096,6082,6037,6037,5991,5966,5925,5899,5858,5785,5759,5757,5746,5705,5651,5620,5617,5609,5598,5594,5575,5574,5540,5540,5537,5532,5465,5451,5417,5368,5362,5352,5293,5224,5181,5180,5168,5165,5145,5124,5047]],"filenames":["3A1_S1_L001","3A2_S2_L001","3A9_S8_L001","3B1_S9_L001","3B2_S10_L001","3B3_S11_L001","3C1_S16_L001","3C2_S17_L001","3C3_S18_L001","3C6_S21_L001","3C8_S23_L001","3E6_S39_L001","3F8_S49_L001","3G9_S59_L001","3H1_S60_L001","3H3_S62_L001","3H8_S67_L001","3H9_S68_L001","3I6_S74_L001","4A1_S97_L002","4A3_S99_L002","4A5_S101_L002","4A6_S102_L002","4A8_S104_L002","4B1_S106_L002","4B3_S108_L002","4B7_S112_L002","4C1_S115_L002","4C8_S122_L002","4D6_S129_L002","4D7_S130_L002","4D8_S131_L002","4E5_S137_L002","4F1_S142_L002","4G3_S152_L002"]}
{{ assembliesLengths }}
{{ referenceLength }}
{"tickX":1}
{"coord_y":[[92442,92442,92442,68869,68869,63782,63782,60702,60702,55362,55362,54765,54765,52062,52062,51067,51067,47298,47298,44710,44710,43357,43357,43184,43184,42603,42603,41679,41679,40509,40509,39808,39808,39727,39727,38924,38924,38890,38890,38546,38546,37838,37838,37832,37832,37805,37805,37156,37156,36721,36721,35912,35912,35900,35900,35430,35430,35227,35227,35047,35047,34175,34175,34145,34145,34027,34027,33764,33764,32970,32970,32275,32275,31901,31901,31768,31768,31720,31720,30852,30852,30109,30109,30023,30023,28309,28309,27937,27937,27930,27930,27788,27788,27726,27726,27579,27579,26983,26983,26970,26970,26907,26907,26848,26848,26350,26350,26051,26051,25957,25957,25765,25765,25640,25640,25491,25491,25381,25381,25145,25145,25128,25128,24831,24831,24689,24689,24665,24665,24617,24617,24602,24602,24231,24231,24110,24110,24082,24082,24000,24000,23833,23833,23507,23507,23341,23341,23271,23271,22755,22755,22646,22646,22629,22629,22502,22502,22496,22496,22335,22335,22200,22200,22023,22023,21865,21865,21835,21835,21415,21415,21119,21119,21102,21102,21026,21026,20996,20996,20952,20952,20775,20775,20653,20653,20517,20517,20486,20486,20387,20387,20366,20366,20251,20251,20241,20241,19863,19863,19570,19570,19550,19550,19059,19059,18961,18961,18897,18897,18864,18864,18708,18708,18618,18618,18605,18605,18509,18509,18282,18282,18151,18151,18000,18000,17778,17778,17588,17588,17570,17570,17519,17519,17509,17509,17497,17497,17084,17084,17003,17003,16944,16944,16761,16761,16746,16746,16717,16717,16705,16705,16649,16649,16499,16499,16416,16416,16220,16220,16115,16115,16012,16012,15968,15968,15943,15943,15926,15926,15532,15532,15486,15486,15430,15430,15341,15341,15285,15285,15227,15227,15168,15168,15145,15145,15130,15130,14973,14973,14844,14844,14667,14667,14656,14656,14540,14540,14435,14435,14386,14386,14178,14178,14061,14061,14056,14056,13933,13933,13875,13875,13784,13784,13727,13727,13668,13668,13340,13340,13231,13231,13173,13173,13148,13148,13008,13008,12927,12927,12828,12828,12767,12767,12674,12674,12653,12653,12470,12470,12414,12414,12338,12338,12322,12322,12300,12300,12290,12290,12210,12210,12166,12166,12106,12106,12017,12017,11782,11782,11711,11711,11661,11661,11489,11489,11376,11376,11283,11283,11261,11261,11046,11046,11015,11015,10993,10993,10951,10951,10858,10858,10849,10849,10819,10819,10743,10743,10700,10700,10559,10559,10545,10545,10507,10507,10482,10482,10408,10408,10399,10399,10384,10384,10377,10377,10349,10349,10261,10261,10233,10233,10120,10120,10080,10080,9976,9976,9954,9954,9949,9949,9932,9932,9922,9922,9913,9913,9840,9840,9774,9774,9757,9757,9681,9681,9656,9656,9592,9592,9582,9582,9540,9540,9529,9529,9513,9513,9498,9498,9490,9490,9484,9484,9467,9467,9421,9421,9390,9390,9385,9385,9362,9362,9350,9350,9343,9343,9328,9328,9295,9295,9282,9282,9267,9267,9217,9217,9204,9204,9189,9189,9090,9090,9067,9067,8978,8978,8925,8925,8856,8856,8847,8847,8815,8815,8807,8807,8741,8741,8704,8704,8678,8678,8648,8648,8575,8575,8525,8525,8409,8409,8314,8314,8238,8238,8219,8219,8202,8202,8176,8176,8141,8141,8131,8131,8064,8064,8032,8032,7992,7992,7970,7970,7925,7925,7913,7913,7885,7885,7875,7875,7862,7862,7838,7838,7822,7822,7808,7808,7795,7795,7748,7748,7713,7713,7692,7692,7682,7682,7672,7672,7661,7661,7608,7608,7553,7553,7472,7472,7456,7456,7434,7434,7409,7409,7404,7404,7385,7385,7366,7366,7332,7332,7326,7326,7321,7321,7304,7304,7290,7290,7248,7248,7236,7236,7203,7203,7186,7186,7158,7158,7107,7107,7077,7077,7043,7043,7014,7014,6983,6983,6977,6977,6963,6963,6951,6951,6908,6908,6902,6902,6897,6897,6881,6881,6870,6870,6770,6770,6722,6722,6700,6700,6655,6655,6609,6609,6600,6600,6587,6587,6571,6571,6539,6539,6522,6522,6483,6483,6475,6475,6468,6468,6459,6459,6441,6441,6425,6425,6407,6407,6401,6401,6385,6385,6346,6346,6340,6340,6321,6321,6316,6316,6309,6309,6281,6281,6265,6265,6257,6257,6246,6246,6184,6184,6174,6174,6165,6165,6144,6144,6134,6134,6111,6111,6103,6103,6093,6093,6082,6082,6076,6076,6057,6057,6046,6046,6038,6038,6029,6029,6018,6018,6005,6005,5997,5997,5988,5988,5974,5974,5962,5962,5951,5951,5897,5897,5891,5891,5883,5883,5856,5856,5851,5851,5838,5838,5829,5829,5813,5813,5796,5796,5779,5779,5763,5763,5741,5741,5735,5735,5727,5727,5721,5721,5716,5716,5703,5703,5694,5694,5685,5685,5670,5670,5663,5663,5656,5656,5639,5639,5611,5611,5603,5603,5595,5595,5580,5580,5553,5553,5541,5541,5526,5526,5520,5520,5515,5515,5507,5507,5500,5500,5484,5484,5478,5478,5468,5468,5462,5462,5444,5444,5429,5429,5423,5423,5408,5408,5398,5398,5389,5389,5370,5370,5351,5351,5344,5344,5332,5332,5324,5324,5309,5309,5301,5301,5278,5278,5248,5248,5237,5237,5215,5215,5209,5209,5202,5202,5177,5177,5170,5170,5159,5159,5142,5142,5124,5124,5117,5117,5067,5067,5058,5058,5048,5048,5032,5032,5025,5025,5016,5016,5009,5009,5003,5003],[233789,233789,233789,207586,207586,183865,183865,182828,182828,182027,182027,169605,169605,167813,167813,153089,153089,149791,149791,142514,142514,140311,140311,139585,139585,133801,133801,133231,133231,132639,132639,123677,123677,113935,113935,112299,112299,105891,105891,100134,100134,94678,94678,92242,92242,85871,85871,85823,85823,84776,84776,84458,84458,84287,84287,82981,82981,82927,82927,82370,82370,82087,82087,79688,79688,77899,77899,77856,77856,76843,76843,75436,75436,75232,75232,74850,74850,74104,74104,70474,70474,68228,68228,67355,67355,65541,65541,62085,62085,61010,61010,60641,60641,59492,59492,59055,59055,58903,58903,58299,58299,56774,56774,56440,56440,55073,55073,55004,55004,54964,54964,54400,54400,52361,52361,50469,50469,49941,49941,49030,49030,48499,48499,48453,48453,47933,47933,47225,47225,46613,46613,46008,46008,45852,45852,45484,45484,45201,45201,45031,45031,44480,44480,43354,43354,43039,43039,42907,42907,42741,42741,42640,42640,40493,40493,40364,40364,40339,40339,38547,38547,38043,38043,37599,37599,37339,37339,37091,37091,36278,36278,35435,35435,34172,34172,33501,33501,32687,32687,31910,31910,31090,31090,30100,30100,29630,29630,29113,29113,29006,29006,28831,28831,28658,28658,26929,26929,26863,26863,26781,26781,26413,26413,24955,24955,24561,24561,23996,23996,23762,23762,23622,23622,23563,23563,23466,23466,22979,22979,22612,22612,21226,21226,21077,21077,20637,20637,19853,19853,19671,19671,19583,19583,19148,19148,19122,19122,18727,18727,18449,18449,18395,18395,18201,18201,18192,18192,18058,18058,17772,17772,17318,17318,17172,17172,16391,16391,15974,15974,15690,15690,15542,15542,13933,13933,13881,13881,13109,13109,12240,12240,12171,12171,11582,11582,11337,11337,11249,11249,11183,11183,10924,10924,10763,10763,10406,10406,10362,10362,9995,9995,9940,9940,9397,9397,9125,9125,8751,8751,8461,8461,8214,8214,7999,7999,7222,7222,7203,7203,6832,6832,6801,6801,6030,6030,5979,5979,5877,5877,5683,5683,5546,5546,5516,5516,5405,5405,5206,5206,5186,5186],[116305,116305,116305,95383,95383,94403,94403,80752,80752,71613,71613,65474,65474,56531,56531,53803,53803,51874,51874,50905,50905,50694,50694,50117,50117,49138,49138,48010,48010,47661,47661,46991,46991,38185,38185,32877,32877,32200,32200,31392,31392,30314,30314,28383,28383,28363,28363,28076,28076,27556,27556,27400,27400,26405,26405,25723,25723,25337,25337,24139,24139,24013,24013,23180,23180,22639,22639,22578,22578,22488,22488,21275,21275,20861,20861,20271,20271,19654,19654,19604,19604,19321,19321,19315,19315,19294,19294,19109,19109,18978,18978,16978,16978,16967,16967,16786,16786,16388,16388,16380,16380,16087,16087,15975,15975,15941,15941,15700,15700,15475,15475,15391,15391,15053,15053,15048,15048,14862,14862,14625,14625,14481,14481,14303,14303,13960,13960,13785,13785,13768,13768,13706,13706,13580,13580,13242,13242,13190,13190,13172,13172,13090,13090,13053,13053,12850,12850,12829,12829,12808,12808,12718,12718,12571,12571,12484,12484,12395,12395,12223,12223,12010,12010,11955,11955,11803,11803,11758,11758,11746,11746,11278,11278,11236,11236,11091,11091,10829,10829,10800,10800,10790,10790,10598,10598,10511,10511,10397,10397,10390,10390,10362,10362,10194,10194,10182,10182,10102,10102,9990,9990,9939,9939,9726,9726,9594,9594,9540,9540,9517,9517,9499,9499,9432,9432,9338,9338,9234,9234,9176,9176,8969,8969,8931,8931,8913,8913,8894,8894,8790,8790,8707,8707,8568,8568,8561,8561,8539,8539,8533,8533,8527,8527,8498,8498,8487,8487,8482,8482,8450,8450,8366,8366,8316,8316,8286,8286,8251,8251,8121,8121,8056,8056,7990,7990,7974,7974,7746,7746,7636,7636,7598,7598,7527,7527,7493,7493,7469,7469,7455,7455,7403,7403,7253,7253,7244,7244,7226,7226,7108,7108,7094,7094,7061,7061,6978,6978,6961,6961,6947,6947,6942,6942,6923,6923,6918,6918,6856,6856,6850,6850,6819,6819,6782,6782,6767,6767,6761,6761,6571,6571,6562,6562,6552,6552,6526,6526,6518,6518,6485,6485,6479,6479,6470,6470,6447,6447,6441,6441,6428,6428,6402,6402,6300,6300,6246,6246,6205,6205,6180,6180,6124,6124,6107,6107,6085,6085,6070,6070,6065,6065,6008,6008,5973,5973,5959,5959,5946,5946,5903,5903,5890,5890,5880,5880,5874,5874,5862,5862,5849,5849,5839,5839,5825,5825,5816,5816,5779,5779,5759,5759,5741,5741,5723,5723,5703,5703,5664,5664,5655,5655,5646,5646,5608,5608,5585,5585,5571,5571,5484,5484,5478,5478,5429,5429,5420,5420,5414,5414,5409,5409,5362,5362,5318,5318,5307,5307,5267,5267,5203,5203,5154,5154,5132,5132,5117,5117,5073,5073,5064,5064,5049,5049,5041,5041,5019,5019,5003,5003],[44111,44111,44111,28133,28133,27551,27551,23006,23006,19969,19969,10645,10645,9902,9902,9664,9664,9643,9643,8577,8577,8519,8519,8381,8381,8181,8181,7994,7994,7989,7989,7763,7763,7475,7475,7222,7222,7102,7102,7072,7072,6922,6922,6780,6780,6761,6761,6717,6717,6649,6649,6615,6615,6604,6604,6437,6437,6369,6369,6349,6349,6175,6175,6091,6091,6076,6076,6001,6001,5957,5957,5924,5924,5901,5901,5838,5838,5802,5802,5785,5785,5748,5748,5709,5709,5630,5630,5613,5613,5595,5595,5518,5518,5495,5495,5456,5456,5424,5424,5384,5384,5346,5346,5334,5334,5255,5255,5240,5240,5212,5212,5171,5171,5142,5142,5131,5131,5116,5116,5098,5098,5083,5083,5054,5054,5023,5023],[135253,135253,135253,112142,112142,97852,97852,89751,89751,79312,79312,72845,72845,66903,66903,66892,66892,63949,63949,62711,62711,62150,62150,61512,61512,60830,60830,60561,60561,57381,57381,56905,56905,55692,55692,51051,51051,50658,50658,49535,49535,48646,48646,47928,47928,46252,46252,46063,46063,45827,45827,45716,45716,45596,45596,45290,45290,44415,44415,43647,43647,43206,43206,41887,41887,41759,41759,41667,41667,40015,40015,38891,38891,38811,38811,38574,38574,38279,38279,38104,38104,37257,37257,34978,34978,34950,34950,34294,34294,34161,34161,34051,34051,33731,33731,33698,33698,33657,33657,33629,33629,32194,32194,31833,31833,31757,31757,31278,31278,31080,31080,28732,28732,28560,28560,28263,28263,28246,28246,28197,28197,28143,28143,28024,28024,27999,27999,27897,27897,27785,27785,27715,27715,27627,27627,27279,27279,27231,27231,27163,27163,27014,27014,26912,26912,26877,26877,26794,26794,26697,26697,26606,26606,26564,26564,26401,26401,26256,26256,26119,26119,25902,25902,25796,25796,25525,25525,25444,25444,25369,25369,24936,24936,24817,24817,24757,24757,24632,24632,24516,24516,24119,24119,23960,23960,23853,23853,23710,23710,23629,23629,23567,23567,23497,23497,23064,23064,22939,22939,22650,22650,22129,22129,22006,22006,21686,21686,21327,21327,21320,21320,21271,21271,21164,21164,21138,21138,20902,20902,20691,20691,20677,20677,20664,20664,20518,20518,20417,20417,20161,20161,19999,19999,19983,19983,19670,19670,19516,19516,19393,19393,19270,19270,19168,19168,19147,19147,19132,19132,19114,19114,19074,19074,18565,18565,18533,18533,18526,18526,18505,18505,18360,18360,18215,18215,18201,18201,18086,18086,17972,17972,17918,17918,17888,17888,17771,17771,17744,17744,17723,17723,17566,17566,17517,17517,17395,17395,17229,17229,17147,17147,16968,16968,16839,16839,16791,16791,16750,16750,16633,16633,16602,16602,16419,16419,16367,16367,16347,16347,16339,16339,16249,16249,16218,16218,16146,16146,16128,16128,16079,16079,16052,16052,16045,16045,16024,16024,16004,16004,15983,15983,15878,15878,15643,15643,15463,15463,15395,15395,15288,15288,15256,15256,15206,15206,15070,15070,15057,15057,14963,14963,14866,14866,14822,14822,14796,14796,14598,14598,14281,14281,14180,14180,14140,14140,13784,13784,13770,13770,13596,13596,13534,13534,13470,13470,13451,13451,13377,13377,13300,13300,13242,13242,13092,13092,13011,13011,12891,12891,12861,12861,12826,12826,12815,12815,12792,12792,12757,12757,12697,12697,12628,12628,12575,12575,12553,12553,12546,12546,12349,12349,12321,12321,12312,12312,12237,12237,12186,12186,12096,12096,11940,11940,11929,11929,11915,11915,11856,11856,11784,11784,11640,11640,11605,11605,11516,11516,11505,11505,11468,11468,11432,11432,11421,11421,11406,11406,11384,11384,11360,11360,11353,11353,11326,11326,11299,11299,11250,11250,11192,11192,11179,11179,11155,11155,11131,11131,11031,11031,10933,10933,10878,10878,10866,10866,10840,10840,10801,10801,10756,10756,10689,10689,10613,10613,10465,10465,10417,10417,10365,10365,10280,10280,10244,10244,10136,10136,10112,10112,10079,10079,10026,10026,9924,9924,9833,9833,9761,9761,9746,9746,9727,9727,9692,9692,9684,9684,9636,9636,9589,9589,9538,9538,9320,9320,9306,9306,9245,9245,9208,9208,9158,9158,9041,9041,9036,9036,9023,9023,8840,8840,8797,8797,8790,8790,8733,8733,8717,8717,8680,8680,8655,8655,8616,8616,8589,8589,8536,8536,8507,8507,8499,8499,8486,8486,8429,8429,8420,8420,8390,8390,8377,8377,8351,8351,8342,8342,8314,8314,8296,8296,8269,8269,8246,8246,8191,8191,8161,8161,8151,8151,8136,8136,8103,8103,8077,8077,8070,8070,8028,8028,8012,8012,8005,8005,7909,7909,7826,7826,7787,7787,7748,7748,7710,7710,7705,7705,7680,7680,7648,7648,7609,7609,7572,7572,7549,7549,7533,7533,7517,7517,7458,7458,7408,7408,7328,7328,7245,7245,7233,7233,7216,7216,7183,7183,7158,7158,7109,7109,6992,6992,6961,6961,6910,6910,6903,6903,6894,6894,6795,6795,6778,6778,6763,6763,6700,6700,6678,6678,6639,6639,6603,6603,6564,6564,6530,6530,6503,6503,6496,6496,6491,6491,6450,6450,6445,6445,6389,6389,6375,6375,6334,6334,6283,6283,6278,6278,6178,6178,6172,6172,6055,6055,6024,6024,6011,6011,6006,6006,5994,5994,5987,5987,5977,5977,5923,5923,5916,5916,5882,5882,5877,5877,5871,5871,5862,5862,5839,5839,5819,5819,5808,5808,5778,5778,5766,5766,5761,5761,5733,5733,5713,5713,5676,5676,5641,5641,5618,5618,5609,5609,5582,5582,5492,5492,5469,5469,5462,5462,5428,5428,5387,5387,5377,5377,5346,5346,5335,5335,5309,5309,5300,5300,5265,5265,5260,5260,5255,5255,5233,5233,5221,5221,5210,5210,5205,5205,5194,5194,5167,5167,5160,5160,5065,5065,5048,5048,5015,5015],[204515,204515,204515,136046,136046,135499,135499,126260,126260,107552,107552,102415,102415,99911,99911,97850,97850,95059,95059,92456,92456,87358,87358,83943,83943,81102,81102,77492,77492,64588,64588,60632,60632,58588,58588,54035,54035,53895,53895,53275,53275,46951,46951,43841,43841,42960,42960,40299,40299,40094,40094,39861,39861,38779,38779,38429,38429,38155,38155,37482,37482,35710,35710,35679,35679,35098,35098,34041,34041,33876,33876,33546,33546,32844,32844,32625,32625,31655,31655,30843,30843,30232,30232,30126,30126,29854,29854,29804,29804,29162,29162,28876,28876,28641,28641,28592,28592,27988,27988,27796,27796,27511,27511,27206,27206,27074,27074,27055,27055,27005,27005,26764,26764,26625,26625,26075,26075,25981,25981,25839,25839,25625,25625,25596,25596,25115,25115,24920,24920,24798,24798,24534,24534,24466,24466,24373,24373,24339,24339,23965,23965,23950,23950,23698,23698,23659,23659,23629,23629,23265,23265,23198,23198,23135,23135,23129,23129,23089,23089,22949,22949,22729,22729,22705,22705,22433,22433,22128,22128,22011,22011,21963,21963,21681,21681,21596,21596,21584,21584,21421,21421,21411,21411,21375,21375,21369,21369,21343,21343,21334,21334,21329,21329,21321,21321,21294,21294,21229,21229,21039,21039,21002,21002,20888,20888,20598,20598,20557,20557,20474,20474,20385,20385,20256,20256,20143,20143,20053,20053,19992,19992,19884,19884,19488,19488,19460,19460,19422,19422,19355,19355,19339,19339,19160,19160,18852,18852,18788,18788,18690,18690,18639,18639,18605,18605,18520,18520,18496,18496,18403,18403,17929,17929,17917,17917,17885,17885,17760,17760,17699,17699,17640,17640,17534,17534,17502,17502,17487,17487,17479,17479,17441,17441,17376,17376,17131,17131,17104,17104,17048,17048,17020,17020,17001,17001,16993,16993,16952,16952,16880,16880,16861,16861,16843,16843,16828,16828,16810,16810,16802,16802,16719,16719,16691,16691,16630,16630,16623,16623,16527,16527,16506,16506,16443,16443,16433,16433,16381,16381,16273,16273,16206,16206,16175,16175,16164,16164,16140,16140,16124,16124,16038,16038,16019,16019,15990,15990,15978,15978,15939,15939,15931,15931,15876,15876,15862,15862,15847,15847,15813,15813,15717,15717,15698,15698,15688,15688,15679,15679,15596,15596,15520,15520,15486,15486,15408,15408,15386,15386,15253,15253,15183,15183,15141,15141,15106,15106,15087,15087,15073,15073,14883,14883,14859,14859,14841,14841,14825,14825,14738,14738,14724,14724,14677,14677,14604,14604,14553,14553,14538,14538,14504,14504,14487,14487,14465,14465,14426,14426,14413,14413,14345,14345,14329,14329,14310,14310,14304,14304,14157,14157,14059,14059,14019,14019,14001,14001,13980,13980,13927,13927,13907,13907,13889,13889,13870,13870,13852,13852,13845,13845,13809,13809,13801,13801,13789,13789,13768,13768,13727,13727,13658,13658,13644,13644,13606,13606,13552,13552,13533,13533,13506,13506,13480,13480,13442,13442,13385,13385,13376,13376,13348,13348,13308,13308,13303,13303,13294,13294,13285,13285,13279,13279,13273,13273,13265,13265,13255,13255,13206,13206,13184,13184,13177,13177,13169,13169,13118,13118,13007,13007,12949,12949,12876,12876,12855,12855,12849,12849,12824,12824,12789,12789,12769,12769,12758,12758,12704,12704,12699,12699,12658,12658,12650,12650,12606,12606,12583,12583,12562,12562,12554,12554,12547,12547,12476,12476,12457,12457,12420,12420,12391,12391,12331,12331,12321,12321,12310,12310,12296,12296,12253,12253,12210,12210,12201,12201,12176,12176,12167,12167,12121,12121,12073,12073,12063,12063,12055,12055,12028,12028,11969,11969,11955,11955,11922,11922,11902,11902,11881,11881,11865,11865,11751,11751,11741,11741,11711,11711,11697,11697,11684,11684,11667,11667,11640,11640,11634,11634,11579,11579,11541,11541,11534,11534,11508,11508,11462,11462,11435,11435,11408,11408,11401,11401,11386,11386,11372,11372,11353,11353,11337,11337,11329,11329,11311,11311,11282,11282,11266,11266,11246,11246,11231,11231,11190,11190,11181,11181,11114,11114,11099,11099,11079,11079,11022,11022,10983,10983,10950,10950,10914,10914,10892,10892,10845,10845,10826,10826,10814,10814,10779,10779,10763,10763,10748,10748,10741,10741,10714,10714,10660,10660,10649,10649,10636,10636,10626,10626,10612,10612,10596,10596,10579,10579,10534,10534,10503,10503,10494,10494,10407,10407,10387,10387,10381,10381,10369,10369,10362,10362,10328,10328,10298,10298,10256,10256,10236,10236,10220,10220,10170,10170,10150,10150,10090,10090,10084,10084,10076,10076,10055,10055,10039,10039,10024,10024,10014,10014,10001,10001,9991,9991,9982,9982,9960,9960,9934,9934,9913,9913,9895,9895,9842,9842,9829,9829,9824,9824,9817,9817,9806,9806,9798,9798,9783,9783,9765,9765,9745,9745,9699,9699,9693,9693,9686,9686,9656,9656,9644,9644,9621,9621,9607,9607,9602,9602,9582,9582,9558,9558,9552,9552,9529,9529,9476,9476,9467,9467,9458,9458,9443,9443,9420,9420,9407,9407,9377,9377,9348,9348,9340,9340,9322,9322,9310,9310,9296,9296,9277,9277,9268,9268,9253,9253,9238,9238,9228,9228,9220,9220,9207,9207,9189,9189,9148,9148,9140,9140,9133,9133,9121,9121,9114,9114,9105,9105,9098,9098,9090,9090,9032,9032,9027,9027,8999,8999,8993,8993,8985,8985,8980,8980,8970,8970,8962,8962,8956,8956,8914,8914,8904,8904,8847,8847,8770,8770,8747,8747,8737,8737,8720,8720,8688,8688,8672,8672,8666,8666,8650,8650,8630,8630,8610,8610,8604,8604,8592,8592,8587,8587,8575,8575,8549,8549,8544,8544,8534,8534,8518,8518,8496,8496,8488,8488,8481,8481,8476,8476,8443,8443,8416,8416,8389,8389,8378,8378,8359,8359,8346,8346,8336,8336,8324,8324,8316,8316,8302,8302,8279,8279,8257,8257,8232,8232,8225,8225,8187,8187,8166,8166,8148,8148,8135,8135,8072,8072,8067,8067,8035,8035,8029,8029,8016,8016,8011,8011,8001,8001,7993,7993,7987,7987,7978,7978,7945,7945,7935,7935,7929,7929,7883,7883,7878,7878,7872,7872,7859,7859,7845,7845,7835,7835,7818,7818,7799,7799,7782,7782,7775,7775,7742,7742,7728,7728,7718,7718,7696,7696,7681,7681,7676,7676,7657,7657,7648,7648,7633,7633,7620,7620,7612,7612,7606,7606,7598,7598,7592,7592,7586,7586,7555,7555,7531,7531,7522,7522,7517,7517,7501,7501,7490,7490,7463,7463,7449,7449,7426,7426,7403,7403,7398,7398,7392,7392,7380,7380,7369,7369,7347,7347,7330,7330,7283,7283,7272,7272,7261,7261,7250,7250,7240,7240,7234,7234,7225,7225,7216,7216,7210,7210,7197,7197,7189,7189,7176,7176,7170,7170,7150,7150,7141,7141,7135,7135,7113,7113,7108,7108,7083,7083,7077,7077,7072,7072,7066,7066,7056,7056,7047,7047,7039,7039,7028,7028,7023,7023,7013,7013,6985,6985,6975,6975,6970,6970,6959,6959,6954,6954,6914,6914,6899,6899,6891,6891,6879,6879,6859,6859,6853,6853,6844,6844,6838,6838,6809,6809,6799,6799,6787,6787,6777,6777,6770,6770,6743,6743,6734,6734,6717,6717,6712,6712,6706,6706,6694,6694,6680,6680,6669,6669,6653,6653,6634,6634,6626,6626,6615,6615,6606,6606,6592,6592,6586,6586,6575,6575,6566,6566,6543,6543,6538,6538,6520,6520,6508,6508,6493,6493,6487,6487,6471,6471,6460,6460,6451,6451,6445,6445,6437,6437,6425,6425,6415,6415,6401,6401,6391,6391,6382,6382,6367,6367,6359,6359,6352,6352,6347,6347,6339,6339,6330,6330,6309,6309,6304,6304,6296,6296,6289,6289,6278,6278,6268,6268,6243,6243,6224,6224,6219,6219,6213,6213,6206,6206,6200,6200,6174,6174,6162,6162,6155,6155,6149,6149,6140,6140,6135,6135,6127,6127,6118,6118,6113,6113,6103,6103,6096,6096,6080,6080,6067,6067,6060,6060,6053,6053,6047,6047,6042,6042,6037,6037,6027,6027,6018,6018,6012,6012,6001,6001,5995,5995,5986,5986,5981,5981,5973,5973,5947,5947,5941,5941,5933,5933,5928,5928,5898,5898,5864,5864,5854,5854,5846,5846,5836,5836,5829,5829,5819,5819,5814,5814,5808,5808,5802,5802,5793,5793,5783,5783,5775,5775,5759,5759,5745,5745,5740,5740,5734,5734,5729,5729,5701,5701,5692,5692,5680,5680,5668,5668,5658,5658,5650,5650,5639,5639,5630,5630,5625,5625,5594,5594,5587,5587,5573,5573,5565,5565,5558,5558,5551,5551,5545,5545,5536,5536,5528,5528,5516,5516,5510,5510,5503,5503,5494,5494,5487,5487,5464,5464,5451,5451,5446,5446,5440,5440,5434,5434,5423,5423,5418,5418,5404,5404,5399,5399,5393,5393,5388,5388,5381,5381,5375,5375,5370,5370,5359,5359,5349,5349,5340,5340,5334,5334,5308,5308,5303,5303,5298,5298,5293,5293,5281,5281,5266,5266,5257,5257,5252,5252,5240,5240,5233,5233,5216,5216,5207,5207,5200,5200,5183,5183,5176,5176,5169,5169,5159,5159,5139,5139,5133,5133,5118,5118,5111,5111,5090,5090,5080,5080,5072,5072,5067,5067,5060,5060,5054,5054,5048,5048,5039,5039,5030,5030,5021,5021,5013,5013,5008,5008],[13098,13098,13098,9614,9614,9124,9124,9055,9055,8693,8693,8200,8200,7953,7953,6953,6953,6887,6887,6833,6833,6760,6760,6374,6374,6316,6316,6233,6233,6120,6120,5849,5849,5812,5812,5722,5722,5690,5690,5642,5642,5512,5512,5449,5449,5224,5224,5190,5190],[90664,90664,90664,78206,78206,55969,55969,54219,54219,47955,47955,44626,44626,44068,44068,41830,41830,39458,39458,39106,39106,38363,38363,37335,37335,37153,37153,37109,37109,37030,37030,36098,36098,35288,35288,34431,34431,33557,33557,32872,32872,32596,32596,31765,31765,31399,31399,30635,30635,30502,30502,30144,30144,29935,29935,29048,29048,28498,28498,28358,28358,27327,27327,27109,27109,27050,27050,26845,26845,26724,26724,26614,26614,26473,26473,26435,26435,26251,26251,26192,26192,26006,26006,25800,25800,25648,25648,25313,25313,25138,25138,25074,25074,24832,24832,24790,24790,24242,24242,23959,23959,23683,23683,23292,23292,23192,23192,23175,23175,23163,23163,22976,22976,22646,22646,22586,22586,21917,21917,21581,21581,21564,21564,21479,21479,21156,21156,21150,21150,21032,21032,20873,20873,20791,20791,20561,20561,20444,20444,20348,20348,20154,20154,19987,19987,19970,19970,19689,19689,19463,19463,19351,19351,19306,19306,19204,19204,19040,19040,18944,18944,18936,18936,18889,18889,18863,18863,18790,18790,18750,18750,18595,18595,18566,18566,18553,18553,18528,18528,18512,18512,18305,18305,18279,18279,18185,18185,18156,18156,18082,18082,17911,17911,17819,17819,17633,17633,17556,17556,17534,17534,17410,17410,17372,17372,17088,17088,16910,16910,16789,16789,16701,16701,16441,16441,16425,16425,16305,16305,16136,16136,16128,16128,16117,16117,16112,16112,16059,16059,15908,15908,15826,15826,15748,15748,15740,15740,15645,15645,15621,15621,15563,15563,15480,15480,15439,15439,15422,15422,15389,15389,15334,15334,15310,15310,15220,15220,15104,15104,15055,15055,14847,14847,14676,14676,14660,14660,14627,14627,14430,14430,14370,14370,14265,14265,14213,14213,14152,14152,14088,14088,13995,13995,13866,13866,13814,13814,13769,13769,13729,13729,13696,13696,13664,13664,13564,13564,13520,13520,13468,13468,13412,13412,13312,13312,13261,13261,13130,13130,13124,13124,13084,13084,13073,13073,13051,13051,13045,13045,13035,13035,12971,12971,12929,12929,12845,12845,12827,12827,12801,12801,12786,12786,12729,12729,12673,12673,12554,12554,12544,12544,12508,12508,12489,12489,12471,12471,12463,12463,12391,12391,12375,12375,12332,12332,12288,12288,12197,12197,12192,12192,12169,12169,12153,12153,12064,12064,11915,11915,11687,11687,11671,11671,11574,11574,11522,11522,11503,11503,11453,11453,11312,11312,11303,11303,11153,11153,11145,11145,11139,11139,11131,11131,11116,11116,11090,11090,11066,11066,11048,11048,10999,10999,10992,10992,10963,10963,10941,10941,10905,10905,10810,10810,10801,10801,10785,10785,10760,10760,10736,10736,10567,10567,10443,10443,10415,10415,10315,10315,10257,10257,10119,10119,10108,10108,10101,10101,10093,10093,10068,10068,10011,10011,9966,9966,9943,9943,9907,9907,9817,9817,9806,9806,9800,9800,9788,9788,9774,9774,9739,9739,9722,9722,9710,9710,9685,9685,9671,9671,9599,9599,9555,9555,9536,9536,9528,9528,9478,9478,9436,9436,9422,9422,9396,9396,9362,9362,9351,9351,9346,9346,9325,9325,9300,9300,9286,9286,9259,9259,9250,9250,9236,9236,9210,9210,9164,9164,9103,9103,9095,9095,9068,9068,9010,9010,8991,8991,8984,8984,8922,8922,8888,8888,8822,8822,8768,8768,8747,8747,8716,8716,8684,8684,8670,8670,8590,8590,8553,8553,8532,8532,8511,8511,8478,8478,8471,8471,8465,8465,8458,8458,8435,8435,8410,8410,8399,8399,8380,8380,8360,8360,8352,8352,8345,8345,8322,8322,8213,8213,8191,8191,8171,8171,8147,8147,8135,8135,8050,8050,8032,8032,8026,8026,8019,8019,8014,8014,7991,7991,7958,7958,7945,7945,7936,7936,7879,7879,7861,7861,7855,7855,7815,7815,7743,7743,7723,7723,7713,7713,7703,7703,7698,7698,7679,7679,7668,7668,7562,7562,7484,7484,7479,7479,7433,7433,7422,7422,7393,7393,7382,7382,7377,7377,7354,7354,7338,7338,7300,7300,7259,7259,7234,7234,7218,7218,7171,7171,7145,7145,7123,7123,7107,7107,7093,7093,7080,7080,7052,7052,7040,7040,7033,7033,6992,6992,6961,6961,6946,6946,6919,6919,6914,6914,6891,6891,6885,6885,6843,6843,6837,6837,6832,6832,6824,6824,6800,6800,6773,6773,6756,6756,6674,6674,6668,6668,6644,6644,6590,6590,6581,6581,6558,6558,6541,6541,6534,6534,6502,6502,6473,6473,6426,6426,6409,6409,6399,6399,6391,6391,6353,6353,6330,6330,6325,6325,6302,6302,6287,6287,6276,6276,6263,6263,6248,6248,6200,6200,6169,6169,6164,6164,6142,6142,6130,6130,6093,6093,6076,6076,6054,6054,6011,6011,5968,5968,5954,5954,5941,5941,5932,5932,5910,5910,5901,5901,5886,5886,5876,5876,5870,5870,5859,5859,5854,5854,5837,5837,5831,5831,5814,5814,5809,5809,5783,5783,5775,5775,5752,5752,5745,5745,5723,5723,5716,5716,5702,5702,5681,5681,5643,5643,5634,5634,5627,5627,5622,5622,5616,5616,5598,5598,5563,5563,5556,5556,5546,5546,5530,5530,5490,5490,5471,5471,5451,5451,5424,5424,5417,5417,5410,5410,5403,5403,5392,5392,5347,5347,5342,5342,5330,5330,5317,5317,5310,5310,5298,5298,5269,5269,5238,5238,5224,5224,5218,5218,5204,5204,5180,5180,5174,5174,5161,5161,5150,5150,5143,5143,5130,5130,5123,5123,5114,5114,5089,5089,5072,5072,5054,5054,5046,5046,5028,5028,5008,5008],[59195,59195,59195,52658,52658,22385,22385,20491,20491,18126,18126,16379,16379,16004,16004,10649,10649,5491,5491],[581992,581992,581992,248842,248842,241778,241778,237033,237033,231467,231467,217539,217539,203958,203958,158631,158631,154009,154009,138094,138094,137310,137310,128404,128404,125120,125120,123629,123629,115462,115462,110987,110987,109723,109723,101620,101620,99315,99315,92700,92700,89859,89859,87473,87473,85945,85945,84456,84456,83665,83665,82718,82718,81142,81142,77464,77464,76170,76170,75761,75761,72075,72075,70201,70201,69961,69961,69381,69381,68097,68097,67050,67050,66525,66525,62288,62288,61197,61197,60707,60707,59528,59528,58724,58724,56763,56763,53550,53550,51227,51227,51020,51020,50183,50183,49741,49741,47364,47364,45715,45715,45603,45603,44041,44041,43269,43269,41966,41966,41463,41463,41062,41062,37945,37945,37421,37421,37197,37197,37010,37010,36954,36954,35625,35625,34568,34568,33613,33613,33305,33305,32274,32274,31858,31858,31551,31551,29476,29476,29035,29035,28960,28960,28780,28780,28211,28211,27132,27132,26376,26376,24935,24935,24133,24133,22582,22582,21764,21764,20844,20844,19710,19710,19163,19163,19070,19070,18622,18622,18569,18569,17997,17997,17647,17647,17355,17355,17349,17349,16591,16591,16434,16434,15270,15270,15050,15050,14971,14971,14377,14377,14369,14369,14353,14353,13633,13633,13020,13020,12872,12872,12405,12405,12008,12008,11983,11983,11815,11815,11717,11717,11708,11708,11363,11363,11109,11109,11031,11031,10501,10501,10335,10335,9576,9576,9494,9494,9452,9452,9124,9124,9059,9059,8597,8597,8588,8588,8447,8447,8408,8408,8352,8352,8251,8251,8054,8054,7914,7914,7865,7865,7340,7340,6941,6941,6782,6782,6737,6737,6482,6482,6477,6477,6346,6346,6300,6300,6279,6279,5972,5972,5945,5945,5821,5821,5541,5541,5516,5516,5491,5491,5462,5462,5428,5428,5195,5195,5138,5138,5127,5127,5114,5114,5100,5100],[89403,89403,89403,44968,44968,15121,15121,14461,14461,14456,14456,13446,13446,13026,13026,12614,12614,11567,11567,10974,10974,10760,10760,10340,10340,10273,10273,9869,9869,9846,9846,9691,9691,9673,9673,9448,9448,9240,9240,9139,9139,8995,8995,8940,8940,8787,8787,8546,8546,8534,8534,8438,8438,8282,8282,8224,8224,8216,8216,8173,8173,8077,8077,7995,7995,7986,7986,7954,7954,7925,7925,7887,7887,7652,7652,7635,7635,7628,7628,7530,7530,7463,7463,7306,7306,7225,7225,7177,7177,7164,7164,7153,7153,7108,7108,7088,7088,6890,6890,6842,6842,6816,6816,6801,6801,6705,6705,6649,6649,6644,6644,6636,6636,6606,6606,6586,6586,6566,6566,6477,6477,6442,6442,6419,6419,6407,6407,6364,6364,6359,6359,6320,6320,6305,6305,6164,6164,6116,6116,6079,6079,6063,6063,6047,6047,5972,5972,5946,5946,5927,5927,5912,5912,5896,5896,5881,5881,5851,5851,5832,5832,5789,5789,5761,5761,5746,5746,5741,5741,5723,5723,5714,5714,5709,5709,5690,5690,5678,5678,5660,5660,5652,5652,5633,5633,5566,5566,5548,5548,5537,5537,5526,5526,5457,5457,5419,5419,5379,5379,5362,5362,5332,5332,5322,5322,5273,5273,5243,5243,5207,5207,5200,5200,5194,5194,5163,5163,5147,5147,5135,5135,5129,5129,5098,5098,5073,5073,5050,5050,5037,5037,5029,5029,5014,5014],[100213,100213,100213,59705,59705,51228,51228,46151,46151,42998,42998,42329,42329,42313,42313,39127,39127,39019,39019,38315,38315,34678,34678,34414,34414,33251,33251,32501,32501,32121,32121,31826,31826,31710,31710,29666,29666,29543,29543,29526,29526,28462,28462,28176,28176,27826,27826,27802,27802,27567,27567,27179,27179,27157,27157,27106,27106,26843,26843,26702,26702,26491,26491,26429,26429,26254,26254,26102,26102,25860,25860,25837,25837,25524,25524,25305,25305,25204,25204,25081,25081,24995,24995,24853,24853,24774,24774,24573,24573,24481,24481,24407,24407,24215,24215,24168,24168,24141,24141,23896,23896,23864,23864,23701,23701,23523,23523,23198,23198,22919,22919,22753,22753,22665,22665,22565,22565,22373,22373,22264,22264,22189,22189,22115,22115,22073,22073,22007,22007,21939,21939,21919,21919,21787,21787,21554,21554,21209,21209,21151,21151,21127,21127,21043,21043,20657,20657,20608,20608,20539,20539,20497,20497,20407,20407,20253,20253,20155,20155,19994,19994,19974,19974,19796,19796,19735,19735,19677,19677,19668,19668,19640,19640,19571,19571,19433,19433,19324,19324,19313,19313,19212,19212,19170,19170,19164,19164,19138,19138,19099,19099,19083,19083,19062,19062,18926,18926,18839,18839,18832,18832,18811,18811,18663,18663,18650,18650,18550,18550,18522,18522,18449,18449,18380,18380,18288,18288,18201,18201,18169,18169,18143,18143,18067,18067,17999,17999,17966,17966,17909,17909,17873,17873,17826,17826,17790,17790,17755,17755,17736,17736,17711,17711,17645,17645,17613,17613,17531,17531,17441,17441,17429,17429,17383,17383,17345,17345,17087,17087,17048,17048,17039,17039,17025,17025,17006,17006,16936,16936,16904,16904,16820,16820,16776,16776,16659,16659,16588,16588,16574,16574,16562,16562,16368,16368,16353,16353,16329,16329,16278,16278,15958,15958,15874,15874,15859,15859,15843,15843,15824,15824,15733,15733,15667,15667,15616,15616,15555,15555,15522,15522,15465,15465,15455,15455,15444,15444,15420,15420,15410,15410,15384,15384,15351,15351,15288,15288,15155,15155,15123,15123,15075,15075,15052,15052,15025,15025,14988,14988,14964,14964,14945,14945,14939,14939,14931,14931,14917,14917,14835,14835,14824,14824,14798,14798,14680,14680,14642,14642,14606,14606,14565,14565,14560,14560,14539,14539,14520,14520,14473,14473,14439,14439,14383,14383,14355,14355,14297,14297,14266,14266,14144,14144,14126,14126,14043,14043,14003,14003,13905,13905,13823,13823,13813,13813,13806,13806,13799,13799,13717,13717,13666,13666,13626,13626,13602,13602,13568,13568,13544,13544,13458,13458,13405,13405,13389,13389,13360,13360,13345,13345,13318,13318,13277,13277,13268,13268,13260,13260,13213,13213,13134,13134,13125,13125,13072,13072,13037,13037,12994,12994,12944,12944,12939,12939,12912,12912,12760,12760,12745,12745,12735,12735,12714,12714,12670,12670,12651,12651,12638,12638,12618,12618,12552,12552,12483,12483,12476,12476,12465,12465,12430,12430,12370,12370,12347,12347,12274,12274,12234,12234,12208,12208,12199,12199,12187,12187,12180,12180,12133,12133,12127,12127,12107,12107,12094,12094,12012,12012,11982,11982,11933,11933,11844,11844,11802,11802,11694,11694,11666,11666,11607,11607,11601,11601,11434,11434,11424,11424,11402,11402,11391,11391,11377,11377,11331,11331,11309,11309,11296,11296,11291,11291,11261,11261,11254,11254,11221,11221,11200,11200,11190,11190,11181,11181,11174,11174,11149,11149,11000,11000,10962,10962,10856,10856,10807,10807,10793,10793,10743,10743,10682,10682,10673,10673,10623,10623,10576,10576,10571,10571,10535,10535,10522,10522,10515,10515,10501,10501,10472,10472,10446,10446,10410,10410,10378,10378,10351,10351,10335,10335,10300,10300,10289,10289,10262,10262,10206,10206,10187,10187,10069,10069,10044,10044,10037,10037,10032,10032,10019,10019,10000,10000,9991,9991,9985,9985,9972,9972,9962,9962,9940,9940,9933,9933,9866,9866,9812,9812,9801,9801,9788,9788,9777,9777,9676,9676,9660,9660,9650,9650,9644,9644,9627,9627,9583,9583,9575,9575,9475,9475,9422,9422,9333,9333,9305,9305,9153,9153,9140,9140,9133,9133,9122,9122,9101,9101,9062,9062,8975,8975,8935,8935,8930,8930,8917,8917,8808,8808,8770,8770,8740,8740,8731,8731,8700,8700,8695,8695,8679,8679,8667,8667,8656,8656,8644,8644,8637,8637,8627,8627,8570,8570,8563,8563,8544,8544,8536,8536,8493,8493,8471,8471,8434,8434,8408,8408,8398,8398,8379,8379,8356,8356,8351,8351,8323,8323,8303,8303,8273,8273,8253,8253,8236,8236,8230,8230,8223,8223,8217,8217,8202,8202,8193,8193,8177,8177,8152,8152,8131,8131,8103,8103,8090,8090,8064,8064,8059,8059,8008,8008,8002,8002,7993,7993,7971,7971,7951,7951,7938,7938,7917,7917,7908,7908,7885,7885,7877,7877,7818,7818,7785,7785,7751,7751,7738,7738,7675,7675,7656,7656,7640,7640,7610,7610,7599,7599,7560,7560,7526,7526,7496,7496,7490,7490,7485,7485,7468,7468,7455,7455,7439,7439,7428,7428,7401,7401,7366,7366,7337,7337,7326,7326,7261,7261,7255,7255,7241,7241,7235,7235,7206,7206,7198,7198,7185,7185,7162,7162,7143,7143,7132,7132,7109,7109,7084,7084,7070,7070,7058,7058,7046,7046,6956,6956,6939,6939,6924,6924,6889,6889,6880,6880,6860,6860,6851,6851,6842,6842,6797,6797,6787,6787,6765,6765,6750,6750,6744,6744,6734,6734,6729,6729,6718,6718,6704,6704,6678,6678,6636,6636,6598,6598,6541,6541,6535,6535,6521,6521,6510,6510,6463,6463,6432,6432,6423,6423,6417,6417,6386,6386,6371,6371,6363,6363,6358,6358,6339,6339,6317,6317,6308,6308,6278,6278,6269,6269,6262,6262,6238,6238,6228,6228,6199,6199,6143,6143,6100,6100,6078,6078,6072,6072,6059,6059,6031,6031,6006,6006,5997,5997,5969,5969,5955,5955,5934,5934,5894,5894,5889,5889,5874,5874,5869,5869,5818,5818,5802,5802,5782,5782,5773,5773,5766,5766,5735,5735,5707,5707,5681,5681,5654,5654,5633,5633,5621,5621,5615,5615,5601,5601,5590,5590,5580,5580,5570,5570,5549,5549,5541,5541,5536,5536,5526,5526,5518,5518,5497,5497,5465,5465,5457,5457,5449,5449,5437,5437,5428,5428,5417,5417,5409,5409,5394,5394,5372,5372,5365,5365,5351,5351,5326,5326,5313,5313,5298,5298,5283,5283,5263,5263,5232,5232,5225,5225,5218,5218,5211,5211,5188,5188,5175,5175,5161,5161,5155,5155,5150,5150,5142,5142,5135,5135,5128,5128,5119,5119,5098,5098,5087,5087,5060,5060,5051,5051,5041,5041,5023,5023,5017,5017],[2500408,2500408,2500408,462705,462705,419242,419242,403415,403415,362794,362794,294051,294051,254438,254438,192212,192212,177545,177545,159889,159889,111770,111770,104593,104593,93713,93713,92875,92875,85077,85077,84209,84209,80026,80026,77245,77245,69616,69616,69444,69444,66643,66643,65468,65468,59457,59457,57460,57460,53201,53201,51362,51362,51119,51119,43467,43467,43006,43006,34804,34804,30939,30939,30757,30757,25609,25609,20584,20584,20564,20564,19445,19445,19097,19097,18633,18633,18119,18119,17834,17834,17433,17433,16419,16419,16246,16246,16028,16028,15929,15929,15818,15818,15428,15428,15330,15330,14954,14954,14929,14929,14848,14848,14633,14633,14620,14620,14516,14516,14450,14450,14118,14118,14064,14064,13823,13823,13728,13728,13673,13673,13623,13623,13615,13615,13556,13556,13205,13205,12701,12701,12535,12535,12420,12420,12358,12358,12270,12270,12184,12184,12121,12121,11914,11914,11909,11909,11851,11851,11807,11807,11656,11656,11649,11649,11634,11634,11475,11475,11454,11454,11426,11426,11405,11405,11308,11308,11303,11303,11252,11252,11098,11098,11029,11029,11019,11019,10941,10941,10927,10927,10917,10917,10908,10908,10887,10887,10828,10828,10814,10814,10751,10751,10565,10565,10484,10484,10475,10475,10420,10420,10385,10385,10380,10380,10365,10365,10222,10222,10191,10191,10092,10092,9974,9974,9912,9912,9845,9845,9764,9764,9758,9758,9735,9735,9713,9713,9638,9638,9601,9601,9591,9591,9535,9535,9529,9529,9476,9476,9460,9460,9452,9452,9443,9443,9396,9396,9378,9378,9372,9372,9356,9356,9336,9336,9328,9328,9281,9281,9263,9263,9197,9197,9165,9165,9101,9101,9085,9085,9072,9072,9016,9016,8985,8985,8914,8914,8906,8906,8868,8868,8832,8832,8812,8812,8745,8745,8713,8713,8648,8648,8638,8638,8559,8559,8545,8545,8526,8526,8513,8513,8466,8466,8395,8395,8380,8380,8370,8370,8296,8296,8260,8260,8238,8238,8226,8226,8205,8205,8200,8200,8189,8189,8184,8184,8169,8169,8163,8163,8097,8097,8090,8090,8066,8066,8055,8055,8021,8021,8011,8011,7986,7986,7949,7949,7944,7944,7934,7934,7858,7858,7834,7834,7797,7797,7782,7782,7776,7776,7748,7748,7731,7731,7689,7689,7684,7684,7661,7661,7617,7617,7595,7595,7551,7551,7532,7532,7483,7483,7465,7465,7457,7457,7447,7447,7438,7438,7416,7416,7408,7408,7400,7400,7392,7392,7378,7378,7366,7366,7351,7351,7335,7335,7316,7316,7299,7299,7284,7284,7269,7269,7264,7264,7257,7257,7247,7247,7206,7206,7170,7170,7141,7141,7127,7127,7118,7118,7112,7112,7085,7085,7080,7080,7075,7075,7063,7063,7056,7056,7045,7045,7033,7033,7017,7017,7010,7010,6993,6993,6983,6983,6977,6977,6945,6945,6940,6940,6922,6922,6913,6913,6908,6908,6903,6903,6895,6895,6888,6888,6881,6881,6853,6853,6822,6822,6816,6816,6800,6800,6785,6785,6769,6769,6760,6760,6745,6745,6734,6734,6727,6727,6711,6711,6692,6692,6667,6667,6656,6656,6611,6611,6600,6600,6589,6589,6579,6579,6573,6573,6557,6557,6552,6552,6520,6520,6511,6511,6505,6505,6484,6484,6474,6474,6467,6467,6461,6461,6438,6438,6433,6433,6411,6411,6402,6402,6358,6358,6349,6349,6335,6335,6326,6326,6313,6313,6302,6302,6294,6294,6289,6289,6281,6281,6272,6272,6241,6241,6215,6215,6202,6202,6173,6173,6155,6155,6149,6149,6135,6135,6129,6129,6122,6122,6106,6106,6097,6097,6089,6089,6083,6083,6069,6069,6040,6040,6031,6031,6024,6024,6017,6017,6008,6008,5999,5999,5994,5994,5988,5988,5976,5976,5957,5957,5950,5950,5943,5943,5932,5932,5905,5905,5898,5898,5889,5889,5880,5880,5866,5866,5859,5859,5829,5829,5821,5821,5793,5793,5775,5775,5760,5760,5755,5755,5742,5742,5731,5731,5725,5725,5712,5712,5699,5699,5684,5684,5679,5679,5658,5658,5642,5642,5635,5635,5615,5615,5601,5601,5596,5596,5583,5583,5576,5576,5567,5567,5554,5554,5544,5544,5538,5538,5528,5528,5521,5521,5509,5509,5501,5501,5494,5494,5488,5488,5483,5483,5474,5474,5454,5454,5449,5449,5444,5444,5437,5437,5432,5432,5420,5420,5407,5407,5399,5399,5394,5394,5386,5386,5379,5379,5370,5370,5355,5355,5342,5342,5335,5335,5326,5326,5320,5320,5313,5313,5299,5299,5288,5288,5283,5283,5276,5276,5264,5264,5258,5258,5239,5239,5233,5233,5226,5226,5220,5220,5208,5208,5203,5203,5194,5194,5189,5189,5184,5184,5174,5174,5168,5168,5162,5162,5156,5156,5149,5149,5141,5141,5132,5132,5126,5126,5120,5120,5110,5110,5104,5104,5099,5099,5079,5079,5067,5067,5062,5062,5054,5054,5049,5049,5042,5042,5028,5028,5023,5023,5009,5009],[91769,91769,91769,40503,40503,28562,28562,25381,25381,24929,24929,20965,20965,20573,20573,14709,14709,12676,12676,12599,12599,12191,12191,11203,11203,10331,10331,10266,10266,9069,9069,8838,8838,8748,8748,7217,7217,7045,7045,6511,6511,6446,6446,6362,6362,6306,6306,6117,6117,6011,6011,5989,5989,5779,5779,5706,5706,5687,5687,5653,5653,5646,5646,5636,5636,5616,5616,5541,5541,5403,5403,5383,5383,5347,5347,5200,5200,5195,5195,5187,5187,5178,5178,5155,5155,5062,5062,5048,5048,5011,5011],[83139,83139,83139,67052,67052,66086,66086,64157,64157,62662,62662,55725,55725,51706,51706,47118,47118,45594,45594,45336,45336,44477,44477,44206,44206,42990,42990,41140,41140,40582,40582,40226,40226,39547,39547,39233,39233,38847,38847,38692,38692,38657,38657,37953,37953,37755,37755,37323,37323,37253,37253,37081,37081,36503,36503,36074,36074,35062,35062,34236,34236,33617,33617,33378,33378,33195,33195,32826,32826,32605,32605,32510,32510,32334,32334,31279,31279,31149,31149,30810,30810,30689,30689,29992,29992,29703,29703,29534,29534,29300,29300,28857,28857,28740,28740,28639,28639,28562,28562,28211,28211,27761,27761,27645,27645,27372,27372,27341,27341,27247,27247,27158,27158,26961,26961,26551,26551,26116,26116,25529,25529,25129,25129,25067,25067,24929,24929,24412,24412,24323,24323,24246,24246,24102,24102,24075,24075,24068,24068,23915,23915,23443,23443,23404,23404,23285,23285,23259,23259,23236,23236,23109,23109,23098,23098,22990,22990,22826,22826,22596,22596,22549,22549,22352,22352,22323,22323,22313,22313,22220,22220,22149,22149,22069,22069,21547,21547,21217,21217,21081,21081,21029,21029,20981,20981,20890,20890,20826,20826,20518,20518,20322,20322,20308,20308,20227,20227,20177,20177,20165,20165,20153,20153,19821,19821,19783,19783,19759,19759,19721,19721,19617,19617,19583,19583,19524,19524,19515,19515,19506,19506,19499,19499,19461,19461,19342,19342,19223,19223,19075,19075,18894,18894,18875,18875,18829,18829,18777,18777,18508,18508,18435,18435,18372,18372,18262,18262,18240,18240,18181,18181,18061,18061,18041,18041,17988,17988,17983,17983,17922,17922,17803,17803,17762,17762,17597,17597,17571,17571,17547,17547,17535,17535,17505,17505,17481,17481,17445,17445,17328,17328,17273,17273,17203,17203,17020,17020,16919,16919,16901,16901,16878,16878,16848,16848,16818,16818,16768,16768,16601,16601,16564,16564,16394,16394,16330,16330,16302,16302,16277,16277,16231,16231,16192,16192,16115,16115,15883,15883,15833,15833,15808,15808,15799,15799,15726,15726,15542,15542,15500,15500,15478,15478,15445,15445,15248,15248,15163,15163,15146,15146,15141,15141,15124,15124,15047,15047,15010,15010,14960,14960,14914,14914,14905,14905,14874,14874,14842,14842,14801,14801,14770,14770,14709,14709,14683,14683,14670,14670,14649,14649,14613,14613,14533,14533,14523,14523,14488,14488,14431,14431,14388,14388,14236,14236,14226,14226,14199,14199,14132,14132,13978,13978,13821,13821,13745,13745,13665,13665,13612,13612,13591,13591,13503,13503,13498,13498,13468,13468,13365,13365,13287,13287,13190,13190,13167,13167,13158,13158,13069,13069,12896,12896,12873,12873,12864,12864,12824,12824,12756,12756,12707,12707,12678,12678,12653,12653,12630,12630,12550,12550,12451,12451,12428,12428,12416,12416,12371,12371,12314,12314,12175,12175,12119,12119,12083,12083,11954,11954,11922,11922,11907,11907,11901,11901,11887,11887,11874,11874,11848,11848,11814,11814,11801,11801,11792,11792,11784,11784,11744,11744,11727,11727,11700,11700,11671,11671,11659,11659,11592,11592,11584,11584,11539,11539,11503,11503,11464,11464,11396,11396,11336,11336,11191,11191,11182,11182,11113,11113,11070,11070,11054,11054,10991,10991,10985,10985,10964,10964,10928,10928,10904,10904,10844,10844,10825,10825,10791,10791,10779,10779,10771,10771,10723,10723,10707,10707,10577,10577,10556,10556,10537,10537,10510,10510,10491,10491,10436,10436,10416,10416,10315,10315,10309,10309,10234,10234,10177,10177,10165,10165,10129,10129,10106,10106,10100,10100,10053,10053,10034,10034,9986,9986,9957,9957,9923,9923,9877,9877,9860,9860,9833,9833,9814,9814,9758,9758,9748,9748,9729,9729,9714,9714,9698,9698,9660,9660,9640,9640,9633,9633,9579,9579,9572,9572,9536,9536,9519,9519,9488,9488,9461,9461,9400,9400,9341,9341,9321,9321,9286,9286,9256,9256,9229,9229,9223,9223,9203,9203,9169,9169,9153,9153,9135,9135,9088,9088,9081,9081,9072,9072,8972,8972,8920,8920,8914,8914,8885,8885,8853,8853,8818,8818,8801,8801,8746,8746,8739,8739,8733,8733,8719,8719,8713,8713,8672,8672,8648,8648,8588,8588,8537,8537,8514,8514,8492,8492,8459,8459,8364,8364,8356,8356,8303,8303,8284,8284,8261,8261,8249,8249,8241,8241,8215,8215,8182,8182,8174,8174,8152,8152,8140,8140,8132,8132,8117,8117,8045,8045,8024,8024,8019,8019,7972,7972,7933,7933,7925,7925,7920,7920,7912,7912,7830,7830,7825,7825,7820,7820,7815,7815,7797,7797,7784,7784,7747,7747,7719,7719,7690,7690,7666,7666,7659,7659,7647,7647,7613,7613,7586,7586,7572,7572,7558,7558,7535,7535,7481,7481,7474,7474,7452,7452,7415,7415,7370,7370,7328,7328,7293,7293,7249,7249,7221,7221,7211,7211,7175,7175,7159,7159,7134,7134,7129,7129,7086,7086,7080,7080,7069,7069,7062,7062,7045,7045,7034,7034,7005,7005,7000,7000,6970,6970,6949,6949,6899,6899,6835,6835,6829,6829,6817,6817,6809,6809,6776,6776,6730,6730,6722,6722,6702,6702,6681,6681,6670,6670,6640,6640,6631,6631,6617,6617,6586,6586,6535,6535,6512,6512,6504,6504,6490,6490,6477,6477,6450,6450,6425,6425,6412,6412,6390,6390,6355,6355,6334,6334,6317,6317,6283,6283,6272,6272,6185,6185,6157,6157,6142,6142,6136,6136,6106,6106,6075,6075,6069,6069,6061,6061,6055,6055,6048,6048,6004,6004,5996,5996,5973,5973,5968,5968,5956,5956,5951,5951,5946,5946,5937,5937,5932,5932,5913,5913,5890,5890,5878,5878,5870,5870,5839,5839,5831,5831,5811,5811,5805,5805,5796,5796,5789,5789,5780,5780,5757,5757,5751,5751,5694,5694,5685,5685,5680,5680,5664,5664,5657,5657,5649,5649,5643,5643,5619,5619,5595,5595,5590,5590,5565,5565,5559,5559,5537,5537,5532,5532,5523,5523,5498,5498,5484,5484,5474,5474,5468,5468,5455,5455,5450,5450,5442,5442,5432,5432,5379,5379,5364,5364,5343,5343,5338,5338,5330,5330,5325,5325,5319,5319,5302,5302,5285,5285,5273,5273,5268,5268,5257,5257,5248,5248,5217,5217,5212,5212,5205,5205,5199,5199,5188,5188,5180,5180,5173,5173,5152,5152,5140,5140,5130,5130,5117,5117,5112,5112,5104,5104,5094,5094,5089,5089,5084,5084,5062,5062,5052,5052,5039,5039,5032,5032,5021,5021,5006,5006],[34203,34203,34203,23581,23581,20992,20992,19820,19820,14723,14723,12571,12571,12250,12250,9837,9837,9019,9019,8865,8865,8185,8185,7942,7942,7567,7567,7371,7371,7089,7089,7039,7039,7012,7012,6889,6889,6861,6861,6249,6249,5889,5889,5793,5793,5776,5776,5698,5698,5643,5643,5430,5430,5373,5373,5293,5293,5206,5206,5149,5149,5108,5108,5034,5034],[70392,70392,70392,51564,51564,31339,31339,30783,30783,26235,26235,25872,25872,24620,24620,20094,20094,19436,19436,18851,18851,18197,18197,17988,17988,17482,17482,17117,17117,16981,16981,16343,16343,16324,16324,15643,15643,15605,15605,15461,15461,15323,15323,14993,14993,14830,14830,14814,14814,14249,14249,13846,13846,13826,13826,13584,13584,13506,13506,13369,13369,13048,13048,13015,13015,12827,12827,12670,12670,12612,12612,12478,12478,12408,12408,12160,12160,12007,12007,11943,11943,11857,11857,11725,11725,11652,11652,11564,11564,11462,11462,11421,11421,11359,11359,11318,11318,11308,11308,11298,11298,11118,11118,11011,11011,10929,10929,10575,10575,10450,10450,10374,10374,10286,10286,10279,10279,10218,10218,10208,10208,10113,10113,10049,10049,10019,10019,10000,10000,9976,9976,9907,9907,9868,9868,9861,9861,9770,9770,9698,9698,9688,9688,9677,9677,9624,9624,9581,9581,9549,9549,9504,9504,9476,9476,9466,9466,9415,9415,9385,9385,9368,9368,9298,9298,9267,9267,9252,9252,9198,9198,9189,9189,9167,9167,9149,9149,9097,9097,9086,9086,9074,9074,9051,9051,8962,8962,8941,8941,8911,8911,8840,8840,8795,8795,8780,8780,8736,8736,8721,8721,8605,8605,8572,8572,8552,8552,8530,8530,8489,8489,8466,8466,8408,8408,8384,8384,8366,8366,8329,8329,8303,8303,8269,8269,8255,8255,8243,8243,8200,8200,8160,8160,8149,8149,8136,8136,8125,8125,8106,8106,8078,8078,8060,8060,8007,8007,7980,7980,7960,7960,7938,7938,7925,7925,7886,7886,7859,7859,7842,7842,7833,7833,7801,7801,7789,7789,7775,7775,7755,7755,7714,7714,7699,7699,7694,7694,7656,7656,7634,7634,7610,7610,7569,7569,7492,7492,7480,7480,7455,7455,7449,7449,7443,7443,7398,7398,7387,7387,7379,7379,7368,7368,7353,7353,7343,7343,7336,7336,7329,7329,7292,7292,7238,7238,7227,7227,7218,7218,7203,7203,7198,7198,7193,7193,7154,7154,7087,7087,7077,7077,7047,7047,7024,7024,7017,7017,7011,7011,6999,6999,6989,6989,6953,6953,6922,6922,6906,6906,6899,6899,6883,6883,6866,6866,6861,6861,6851,6851,6843,6843,6816,6816,6802,6802,6779,6779,6769,6769,6713,6713,6702,6702,6697,6697,6679,6679,6665,6665,6649,6649,6636,6636,6611,6611,6604,6604,6594,6594,6581,6581,6570,6570,6551,6551,6528,6528,6502,6502,6486,6486,6481,6481,6475,6475,6468,6468,6450,6450,6411,6411,6400,6400,6383,6383,6371,6371,6350,6350,6334,6334,6328,6328,6322,6322,6317,6317,6312,6312,6299,6299,6294,6294,6277,6277,6264,6264,6254,6254,6224,6224,6187,6187,6170,6170,6152,6152,6139,6139,6133,6133,6113,6113,6105,6105,6073,6073,6065,6065,6047,6047,6041,6041,6021,6021,6012,6012,6003,6003,5986,5986,5980,5980,5973,5973,5935,5935,5929,5929,5921,5921,5913,5913,5895,5895,5889,5889,5882,5882,5862,5862,5855,5855,5848,5848,5839,5839,5834,5834,5827,5827,5809,5809,5803,5803,5794,5794,5787,5787,5772,5772,5750,5750,5744,5744,5728,5728,5723,5723,5716,5716,5710,5710,5701,5701,5692,5692,5686,5686,5670,5670,5663,5663,5656,5656,5637,5637,5628,5628,5621,5621,5611,5611,5602,5602,5593,5593,5587,5587,5566,5566,5561,5561,5548,5548,5535,5535,5527,5527,5506,5506,5495,5495,5481,5481,5468,5468,5463,5463,5455,5455,5447,5447,5438,5438,5426,5426,5416,5416,5411,5411,5405,5405,5389,5389,5360,5360,5350,5350,5341,5341,5336,5336,5322,5322,5315,5315,5310,5310,5304,5304,5292,5292,5280,5280,5274,5274,5261,5261,5255,5255,5248,5248,5232,5232,5224,5224,5214,5214,5205,5205,5199,5199,5194,5194,5187,5187,5176,5176,5159,5159,5150,5150,5145,5145,5129,5129,5118,5118,5104,5104,5096,5096,5086,5086,5079,5079,5073,5073,5065,5065,5058,5058,5053,5053,5047,5047,5040,5040,5021,5021,5013,5013,5007,5007,5000,5000],[6353,6353,6353,5252,5252],[158215,158215,158215,137690,137690,102145,102145,101616,101616,96740,96740,94925,94925,91867,91867,85209,85209,82905,82905,71229,71229,70364,70364,70008,70008,69060,69060,67773,67773,66106,66106,59645,59645,59024,59024,58757,58757,58035,58035,53798,53798,52464,52464,51166,51166,50293,50293,49559,49559,48866,48866,47864,47864,47363,47363,46728,46728,46686,46686,45085,45085,44998,44998,44548,44548,44425,44425,44240,44240,43673,43673,41995,41995,40848,40848,40712,40712,40557,40557,40336,40336,40056,40056,39742,39742,39230,39230,39014,39014,38855,38855,38338,38338,37209,37209,36892,36892,36608,36608,36549,36549,36189,36189,36138,36138,35568,35568,35321,35321,35041,35041,34069,34069,33497,33497,33484,33484,33436,33436,32725,32725,32049,32049,31899,31899,31641,31641,31297,31297,31069,31069,30189,30189,30134,30134,29914,29914,29780,29780,29351,29351,28889,28889,28691,28691,27822,27822,27343,27343,27293,27293,26925,26925,26900,26900,26755,26755,26562,26562,26545,26545,26455,26455,26224,26224,25906,25906,25871,25871,25203,25203,25074,25074,25060,25060,24790,24790,24720,24720,24561,24561,23621,23621,23565,23565,23411,23411,23392,23392,23286,23286,23144,23144,22719,22719,22713,22713,22689,22689,22609,22609,22572,22572,22521,22521,22477,22477,22026,22026,21973,21973,21654,21654,21568,21568,21512,21512,21483,21483,21331,21331,21152,21152,20933,20933,20913,20913,20855,20855,20837,20837,20688,20688,20394,20394,20375,20375,20002,20002,19929,19929,19764,19764,19737,19737,19257,19257,19088,19088,19046,19046,18994,18994,18885,18885,18526,18526,18369,18369,18260,18260,18172,18172,18112,18112,18065,18065,17929,17929,17800,17800,17784,17784,17733,17733,17653,17653,17528,17528,17521,17521,17262,17262,16794,16794,16751,16751,16719,16719,16708,16708,16702,16702,16632,16632,16447,16447,16429,16429,15902,15902,15892,15892,15795,15795,15656,15656,15634,15634,15617,15617,15612,15612,15526,15526,15459,15459,15357,15357,15278,15278,15218,15218,15109,15109,15071,15071,14998,14998,14913,14913,14647,14647,14556,14556,14525,14525,14311,14311,14286,14286,14023,14023,13897,13897,13833,13833,13761,13761,13743,13743,13638,13638,13626,13626,13587,13587,13524,13524,13503,13503,13485,13485,13440,13440,13377,13377,13222,13222,13204,13204,13199,13199,12958,12958,12918,12918,12747,12747,12710,12710,12625,12625,12582,12582,12495,12495,12446,12446,12189,12189,12157,12157,12123,12123,11841,11841,11660,11660,11546,11546,11478,11478,11250,11250,11242,11242,11096,11096,10981,10981,10918,10918,10859,10859,10839,10839,10830,10830,10769,10769,10761,10761,10750,10750,10737,10737,10696,10696,10686,10686,10561,10561,10503,10503,10490,10490,10437,10437,10382,10382,10345,10345,10316,10316,10278,10278,10168,10168,10024,10024,9932,9932,9719,9719,9688,9688,9569,9569,9544,9544,9473,9473,9439,9439,9325,9325,9291,9291,9282,9282,9226,9226,9217,9217,9158,9158,8887,8887,8829,8829,8727,8727,8716,8716,8652,8652,8589,8589,8573,8573,8460,8460,8349,8349,8340,8340,8228,8228,8217,8217,8092,8092,8086,8086,8070,8070,8041,8041,8032,8032,7982,7982,7955,7955,7850,7850,7796,7796,7661,7661,7607,7607,7584,7584,7454,7454,7393,7393,7303,7303,7265,7265,7246,7246,7216,7216,7163,7163,7049,7049,7043,7043,7025,7025,6947,6947,6934,6934,6929,6929,6896,6896,6803,6803,6762,6762,6744,6744,6703,6703,6682,6682,6675,6675,6669,6669,6653,6653,6588,6588,6554,6554,6548,6548,6530,6530,6523,6523,6502,6502,6480,6480,6459,6459,6453,6453,6438,6438,6421,6421,6410,6410,6390,6390,6342,6342,6334,6334,6281,6281,6268,6268,6241,6241,6229,6229,6220,6220,6207,6207,6183,6183,6173,6173,5969,5969,5953,5953,5931,5931,5898,5898,5846,5846,5813,5813,5803,5803,5778,5778,5773,5773,5765,5765,5757,5757,5720,5720,5678,5678,5658,5658,5647,5647,5641,5641,5628,5628,5616,5616,5579,5579,5557,5557,5527,5527,5467,5467,5462,5462,5449,5449,5426,5426,5417,5417,5339,5339,5295,5295,5280,5280,5262,5262,5225,5225,5197,5197,5175,5175,5151,5151,5120,5120,5109,5109,5103,5103,5095,5095,5085,5085,5074,5074,5057,5057,5035,5035,5026,5026,5017,5017,5011,5011],[213121,213121,213121,170476,170476,151323,151323,128376,128376,113584,113584,110195,110195,108821,108821,107569,107569,107322,107322,98521,98521,93782,93782,93400,93400,91633,91633,89208,89208,79707,79707,79045,79045,76816,76816,73941,73941,72573,72573,71450,71450,71368,71368,70350,70350,70118,70118,69127,69127,68938,68938,68851,68851,67731,67731,67564,67564,66530,66530,65878,65878,64171,64171,60141,60141,59031,59031,57964,57964,56738,56738,56310,56310,55698,55698,55434,55434,54462,54462,54443,54443,53247,53247,51222,51222,50996,50996,50231,50231,49863,49863,49689,49689,49035,49035,48801,48801,48307,48307,47025,47025,45967,45967,45564,45564,45203,45203,44817,44817,44328,44328,43715,43715,43155,43155,42795,42795,41184,41184,40400,40400,40127,40127,39887,39887,39591,39591,39416,39416,38769,38769,38278,38278,37558,37558,36887,36887,36836,36836,36599,36599,36125,36125,35913,35913,35787,35787,35531,35531,34805,34805,34765,34765,34624,34624,34178,34178,33910,33910,32932,32932,32800,32800,32715,32715,32119,32119,32051,32051,31789,31789,31642,31642,31612,31612,31452,31452,31255,31255,30798,30798,30547,30547,30486,30486,29885,29885,29564,29564,29420,29420,29411,29411,27856,27856,27493,27493,27150,27150,26016,26016,25932,25932,25797,25797,25309,25309,24869,24869,24491,24491,24462,24462,24457,24457,24286,24286,24146,24146,24066,24066,24016,24016,23906,23906,23757,23757,23605,23605,23406,23406,22745,22745,22297,22297,22273,22273,21576,21576,21352,21352,21202,21202,20851,20851,20570,20570,20509,20509,20095,20095,20000,20000,19952,19952,19847,19847,19777,19777,19697,19697,19348,19348,19130,19130,18901,18901,18784,18784,18086,18086,17799,17799,17557,17557,17450,17450,17274,17274,17152,17152,16244,16244,16190,16190,15766,15766,15761,15761,15505,15505,14978,14978,14961,14961,14819,14819,14156,14156,14101,14101,14072,14072,13873,13873,13527,13527,13126,13126,13037,13037,12952,12952,12914,12914,12603,12603,12504,12504,12293,12293,12248,12248,12101,12101,11923,11923,11803,11803,11697,11697,11658,11658,11648,11648,11488,11488,11265,11265,11179,11179,11114,11114,10839,10839,10743,10743,10710,10710,10269,10269,9848,9848,9751,9751,9665,9665,9642,9642,9634,9634,9552,9552,9546,9546,9304,9304,9208,9208,9104,9104,8994,8994,8824,8824,8815,8815,8708,8708,8513,8513,8424,8424,8244,8244,8181,8181,8111,8111,7955,7955,7709,7709,7658,7658,7432,7432,7377,7377,7125,7125,7101,7101,6883,6883,6757,6757,6706,6706,6645,6645,6557,6557,6336,6336,6329,6329,6206,6206,6197,6197,6072,6072,6041,6041,6032,6032,5965,5965,5861,5861,5836,5836,5826,5826,5727,5727,5590,5590,5569,5569,5562,5562,5549,5549,5542,5542,5512,5512,5505,5505,5491,5491,5347,5347,5291,5291,5218,5218,5186,5186,5149,5149,5121,5121],[70972,70972,70972,54868,54868,41581,41581,32608,32608,30164,30164,27078,27078,26394,26394,25853,25853,24957,24957,24823,24823,24639,24639,22876,22876,22521,22521,22297,22297,21670,21670,21275,21275,19297,19297,18982,18982,18444,18444,18435,18435,18360,18360,18098,18098,17902,17902,17812,17812,17776,17776,17750,17750,17680,17680,17541,17541,17150,17150,17083,17083,16900,16900,16289,16289,16192,16192,16027,16027,15693,15693,15662,15662,15645,15645,15525,15525,15435,15435,15422,15422,15340,15340,15318,15318,15157,15157,15147,15147,15113,15113,15081,15081,15048,15048,15037,15037,14943,14943,14853,14853,14817,14817,14681,14681,14675,14675,14646,14646,14624,14624,14579,14579,14466,14466,14356,14356,14163,14163,13729,13729,13524,13524,13478,13478,13467,13467,13391,13391,13272,13272,13241,13241,13156,13156,13052,13052,12981,12981,12976,12976,12912,12912,12890,12890,12855,12855,12728,12728,12723,12723,12690,12690,12672,12672,12664,12664,12637,12637,12619,12619,12519,12519,12463,12463,12455,12455,12414,12414,12372,12372,12319,12319,12232,12232,12209,12209,12186,12186,12143,12143,12112,12112,12073,12073,12045,12045,12027,12027,12017,12017,11952,11952,11914,11914,11793,11793,11778,11778,11741,11741,11726,11726,11683,11683,11626,11626,11569,11569,11483,11483,11427,11427,11392,11392,11346,11346,11316,11316,11304,11304,11210,11210,11051,11051,11018,11018,10942,10942,10860,10860,10842,10842,10831,10831,10712,10712,10692,10692,10604,10604,10583,10583,10543,10543,10517,10517,10429,10429,10350,10350,10315,10315,10308,10308,10213,10213,10207,10207,10202,10202,10160,10160,10141,10141,10127,10127,10087,10087,10071,10071,10058,10058,10038,10038,10014,10014,10000,10000,9990,9990,9966,9966,9924,9924,9880,9880,9833,9833,9823,9823,9812,9812,9782,9782,9740,9740,9728,9728,9723,9723,9698,9698,9666,9666,9650,9650,9639,9639,9613,9613,9595,9595,9472,9472,9426,9426,9408,9408,9399,9399,9304,9304,9299,9299,9276,9276,9264,9264,9241,9241,9232,9232,9225,9225,9181,9181,9112,9112,9087,9087,9076,9076,9043,9043,8983,8983,8972,8972,8946,8946,8915,8915,8910,8910,8894,8894,8876,8876,8871,8871,8855,8855,8847,8847,8838,8838,8811,8811,8756,8756,8704,8704,8694,8694,8686,8686,8643,8643,8625,8625,8603,8603,8598,8598,8554,8554,8482,8482,8476,8476,8467,8467,8431,8431,8417,8417,8393,8393,8375,8375,8361,8361,8350,8350,8324,8324,8291,8291,8285,8285,8269,8269,8261,8261,8220,8220,8211,8211,8183,8183,8162,8162,8130,8130,8120,8120,8106,8106,8094,8094,8074,8074,8053,8053,8047,8047,8033,8033,8011,8011,7998,7998,7973,7973,7967,7967,7958,7958,7951,7951,7938,7938,7919,7919,7909,7909,7891,7891,7881,7881,7858,7858,7851,7851,7832,7832,7814,7814,7800,7800,7783,7783,7775,7775,7742,7742,7716,7716,7701,7701,7696,7696,7679,7679,7618,7618,7576,7576,7565,7565,7559,7559,7554,7554,7544,7544,7526,7526,7521,7521,7516,7516,7509,7509,7489,7489,7479,7479,7469,7469,7461,7461,7448,7448,7436,7436,7425,7425,7420,7420,7406,7406,7393,7393,7386,7386,7373,7373,7330,7330,7312,7312,7300,7300,7283,7283,7275,7275,7258,7258,7247,7247,7235,7235,7230,7230,7207,7207,7198,7198,7184,7184,7179,7179,7172,7172,7159,7159,7116,7116,7102,7102,7079,7079,7067,7067,7061,7061,7045,7045,7039,7039,7029,7029,6994,6994,6975,6975,6969,6969,6964,6964,6951,6951,6919,6919,6909,6909,6895,6895,6885,6885,6879,6879,6864,6864,6848,6848,6841,6841,6832,6832,6816,6816,6809,6809,6785,6785,6775,6775,6768,6768,6763,6763,6734,6734,6721,6721,6708,6708,6698,6698,6693,6693,6681,6681,6673,6673,6658,6658,6650,6650,6637,6637,6613,6613,6607,6607,6593,6593,6581,6581,6571,6571,6565,6565,6545,6545,6535,6535,6522,6522,6508,6508,6489,6489,6479,6479,6471,6471,6440,6440,6427,6427,6407,6407,6399,6399,6391,6391,6357,6357,6351,6351,6343,6343,6338,6338,6320,6320,6304,6304,6280,6280,6275,6275,6260,6260,6228,6228,6222,6222,6203,6203,6186,6186,6176,6176,6168,6168,6163,6163,6151,6151,6141,6141,6136,6136,6131,6131,6118,6118,6100,6100,6093,6093,6077,6077,6072,6072,6053,6053,6048,6048,6041,6041,6033,6033,6028,6028,6023,6023,6014,6014,6009,6009,5998,5998,5983,5983,5975,5975,5966,5966,5961,5961,5955,5955,5948,5948,5940,5940,5933,5933,5903,5903,5897,5897,5891,5891,5879,5879,5869,5869,5861,5861,5850,5850,5844,5844,5836,5836,5825,5825,5818,5818,5813,5813,5797,5797,5768,5768,5756,5756,5747,5747,5738,5738,5724,5724,5719,5719,5708,5708,5693,5693,5679,5679,5670,5670,5653,5653,5641,5641,5634,5634,5620,5620,5614,5614,5608,5608,5602,5602,5596,5596,5582,5582,5575,5575,5558,5558,5548,5548,5539,5539,5530,5530,5525,5525,5517,5517,5510,5510,5504,5504,5494,5494,5484,5484,5479,5479,5472,5472,5467,5467,5462,5462,5438,5438,5429,5429,5419,5419,5410,5410,5405,5405,5400,5400,5394,5394,5383,5383,5369,5369,5364,5364,5359,5359,5348,5348,5343,5343,5338,5338,5327,5327,5321,5321,5313,5313,5304,5304,5281,5281,5270,5270,5263,5263,5256,5256,5251,5251,5243,5243,5232,5232,5227,5227,5212,5212,5204,5204,5198,5198,5193,5193,5173,5173,5165,5165,5154,5154,5149,5149,5143,5143,5134,5134,5119,5119,5108,5108,5103,5103,5095,5095,5089,5089,5077,5077,5072,5072,5062,5062,5056,5056,5051,5051,5045,5045,5039,5039,5031,5031,5022,5022,5013,5013,5008,5008,5001,5001],[112457,112457,112457,106183,106183,101383,101383,92759,92759,91351,91351,91094,91094,89269,89269,87466,87466,86780,86780,86413,86413,84222,84222,72515,72515,72114,72114,70542,70542,68778,68778,66956,66956,65758,65758,65027,65027,64187,64187,63009,63009,62860,62860,62395,62395,62288,62288,61017,61017,59689,59689,59567,59567,57505,57505,56474,56474,56138,56138,55632,55632,52891,52891,51778,51778,50396,50396,49995,49995,49526,49526,48981,48981,48307,48307,48143,48143,47396,47396,47195,47195,46865,46865,46437,46437,45539,45539,45179,45179,44709,44709,44600,44600,43916,43916,43694,43694,43311,43311,42949,42949,42619,42619,42462,42462,42398,42398,41116,41116,39504,39504,38229,38229,37158,37158,36432,36432,35957,35957,35493,35493,35364,35364,34517,34517,34350,34350,34190,34190,33987,33987,33875,33875,33523,33523,31966,31966,31954,31954,31708,31708,30748,30748,30508,30508,30279,30279,29292,29292,29209,29209,28578,28578,28486,28486,27382,27382,26950,26950,26735,26735,26482,26482,26161,26161,26012,26012,25593,25593,25588,25588,25421,25421,24922,24922,24381,24381,24267,24267,24149,24149,23938,23938,23746,23746,23722,23722,23571,23571,23456,23456,23334,23334,23323,23323,23297,23297,23165,23165,22566,22566,22461,22461,22297,22297,22060,22060,21962,21962,21844,21844,21387,21387,21138,21138,20611,20611,20437,20437,20375,20375,20369,20369,20209,20209,19968,19968,19686,19686,19538,19538,19348,19348,19212,19212,19119,19119,19044,19044,19013,19013,18582,18582,18503,18503,18474,18474,18395,18395,18355,18355,18212,18212,17754,17754,17328,17328,16973,16973,16950,16950,16843,16843,16699,16699,16580,16580,16529,16529,16505,16505,16496,16496,16304,16304,16221,16221,15967,15967,15956,15956,15942,15942,15578,15578,15551,15551,15518,15518,15466,15466,15181,15181,15171,15171,15103,15103,15042,15042,14958,14958,14879,14879,14830,14830,14812,14812,14708,14708,14565,14565,14438,14438,14357,14357,14200,14200,14066,14066,14055,14055,13978,13978,13830,13830,13773,13773,13756,13756,13704,13704,13411,13411,13378,13378,13336,13336,13319,13319,13013,13013,12992,12992,12968,12968,12879,12879,12658,12658,12339,12339,12157,12157,12024,12024,11937,11937,11833,11833,11798,11798,11785,11785,11780,11780,11548,11548,11488,11488,11477,11477,11425,11425,11388,11388,11371,11371,11114,11114,11086,11086,10986,10986,10909,10909,10812,10812,10694,10694,10614,10614,10519,10519,10480,10480,10405,10405,10400,10400,10366,10366,10271,10271,10256,10256,10181,10181,10156,10156,10128,10128,10110,10110,10101,10101,10054,10054,9928,9928,9910,9910,9841,9841,9692,9692,9661,9661,9575,9575,9543,9543,9384,9384,9324,9324,9249,9249,9226,9226,9188,9188,9182,9182,9149,9149,9113,9113,8869,8869,8859,8859,8657,8657,8632,8632,8519,8519,8491,8491,8454,8454,8421,8421,8397,8397,8364,8364,8348,8348,8095,8095,8028,8028,7995,7995,7954,7954,7938,7938,7923,7923,7891,7891,7884,7884,7872,7872,7848,7848,7789,7789,7780,7780,7730,7730,7693,7693,7620,7620,7568,7568,7495,7495,7490,7490,7482,7482,7466,7466,7461,7461,7451,7451,7431,7431,7408,7408,7403,7403,7351,7351,7310,7310,7298,7298,7263,7263,7167,7167,7126,7126,7101,7101,7092,7092,7078,7078,7069,7069,7063,7063,7050,7050,7031,7031,7004,7004,6988,6988,6976,6976,6929,6929,6811,6811,6782,6782,6769,6769,6734,6734,6722,6722,6642,6642,6627,6627,6602,6602,6588,6588,6583,6583,6538,6538,6530,6530,6516,6516,6504,6504,6416,6416,6404,6404,6384,6384,6379,6379,6374,6374,6360,6360,6347,6347,6338,6338,6325,6325,6289,6289,6259,6259,6218,6218,6212,6212,6201,6201,6174,6174,6159,6159,6122,6122,6093,6093,6061,6061,6046,6046,6013,6013,5998,5998,5991,5991,5970,5970,5961,5961,5940,5940,5935,5935,5924,5924,5912,5912,5907,5907,5883,5883,5878,5878,5871,5871,5861,5861,5841,5841,5812,5812,5807,5807,5799,5799,5783,5783,5776,5776,5768,5768,5701,5701,5696,5696,5691,5691,5684,5684,5669,5669,5639,5639,5628,5628,5621,5621,5586,5586,5558,5558,5552,5552,5474,5474,5459,5459,5414,5414,5406,5406,5385,5385,5337,5337,5280,5280,5270,5270,5235,5235,5225,5225,5209,5209,5177,5177,5146,5146,5140,5140,5132,5132,5115,5115,5087,5087,5077,5077,5064,5064,5055,5055,5043,5043,5018,5018],[643736,643736,643736,403387,403387,343716,343716,343053,343053,335194,335194,333503,333503,304233,304233,295990,295990,272389,272389,257437,257437,254987,254987,218396,218396,196625,196625,189318,189318,188603,188603,182925,182925,170326,170326,167930,167930,161019,161019,159628,159628,157066,157066,156159,156159,151411,151411,149932,149932,149758,149758,145684,145684,145126,145126,144914,144914,143267,143267,139830,139830,135388,135388,134947,134947,132930,132930,129296,129296,119993,119993,116764,116764,108911,108911,103958,103958,101632,101632,100754,100754,100577,100577,99111,99111,97646,97646,96801,96801,96075,96075,92749,92749,91741,91741,91096,91096,91027,91027,90149,90149,89780,89780,88542,88542,85622,85622,85600,85600,79292,79292,77791,77791,76023,76023,75711,75711,75697,75697,75383,75383,74868,74868,72842,72842,72374,72374,68915,68915,68898,68898,68655,68655,68401,68401,66840,66840,63627,63627,62930,62930,62392,62392,62066,62066,61282,61282,60412,60412,58913,58913,55836,55836,55601,55601,55148,55148,53183,53183,52209,52209,51899,51899,51381,51381,48408,48408,48389,48389,47320,47320,46745,46745,44664,44664,44531,44531,43091,43091,43001,43001,42832,42832,41682,41682,41662,41662,41295,41295,40133,40133,39347,39347,39184,39184,38646,38646,38575,38575,37576,37576,37332,37332,36527,36527,36045,36045,35404,35404,34248,34248,32805,32805,32670,32670,32601,32601,32016,32016,31965,31965,31842,31842,31560,31560,31239,31239,30528,30528,30438,30438,29448,29448,29189,29189,28934,28934,28521,28521,28326,28326,27670,27670,27643,27643,27161,27161,26894,26894,26224,26224,25760,25760,25471,25471,24209,24209,24140,24140,23922,23922,23449,23449,23052,23052,23028,23028,22348,22348,22078,22078,21190,21190,19869,19869,19746,19746,19618,19618,18760,18760,18548,18548,18542,18542,18467,18467,17914,17914,17407,17407,16134,16134,15419,15419,14920,14920,14835,14835,14492,14492,14279,14279,13600,13600,13551,13551,13300,13300,13223,13223,13166,13166,13072,13072,13026,13026,12557,12557,12502,12502,12272,12272,12054,12054,11588,11588,11545,11545,11416,11416,11397,11397,11251,11251,10895,10895,10787,10787,10618,10618,10556,10556,10481,10481,10299,10299,10218,10218,9945,9945,9877,9877,9856,9856,9551,9551,9372,9372,8976,8976,8767,8767,8705,8705,8530,8530,8344,8344,8191,8191,8113,8113,8088,8088,8019,8019,8014,8014,7842,7842,7826,7826,7754,7754,7693,7693,7509,7509,7444,7444,7371,7371,6560,6560,6499,6499,6415,6415,6195,6195,6133,6133,6094,6094,5826,5826,5748,5748,5583,5583,5501,5501,5450,5450,5394,5394,5347,5347,5234,5234,5086,5086],[245560,245560,245560,243337,243337,197782,197782,162124,162124,140663,140663,133719,133719,132016,132016,127164,127164,127033,127033,122569,122569,111155,111155,109732,109732,108046,108046,103560,103560,101364,101364,100196,100196,99253,99253,99034,99034,98438,98438,95962,95962,89759,89759,89598,89598,85723,85723,84718,84718,82358,82358,76825,76825,76646,76646,76109,76109,72894,72894,72231,72231,71629,71629,69959,69959,68994,68994,66842,66842,66726,66726,66377,66377,66266,66266,66244,66244,65347,65347,63397,63397,62773,62773,61690,61690,61610,61610,61002,61002,60098,60098,58450,58450,57463,57463,56791,56791,56628,56628,56031,56031,56003,56003,55205,55205,54943,54943,54386,54386,52851,52851,51663,51663,51451,51451,50781,50781,50098,50098,49206,49206,48905,48905,48556,48556,48159,48159,47703,47703,47687,47687,47183,47183,46932,46932,46847,46847,46488,46488,46075,46075,45912,45912,45904,45904,45580,45580,45405,45405,44339,44339,44128,44128,44075,44075,44028,44028,43846,43846,43744,43744,43679,43679,43468,43468,43283,43283,43192,43192,42964,42964,41868,41868,41774,41774,41552,41552,41463,41463,41349,41349,40679,40679,40484,40484,40423,40423,40318,40318,40210,40210,40131,40131,40026,40026,39186,39186,38653,38653,38039,38039,37806,37806,37764,37764,37651,37651,37140,37140,36863,36863,36852,36852,36560,36560,36539,36539,36304,36304,36125,36125,36045,36045,35784,35784,35515,35515,35178,35178,34894,34894,34840,34840,34778,34778,34685,34685,34309,34309,33801,33801,33248,33248,33216,33216,33193,33193,33099,33099,32375,32375,32313,32313,32198,32198,31939,31939,31568,31568,31293,31293,31008,31008,30994,30994,30977,30977,30713,30713,30670,30670,30480,30480,30456,30456,30316,30316,30009,30009,29874,29874,29674,29674,29667,29667,29485,29485,29281,29281,29254,29254,29204,29204,29002,29002,28970,28970,28903,28903,28894,28894,28788,28788,28752,28752,28648,28648,28484,28484,28368,28368,27915,27915,27897,27897,27889,27889,27848,27848,27830,27830,27729,27729,27497,27497,27182,27182,27143,27143,27047,27047,26935,26935,26919,26919,26778,26778,26622,26622,26590,26590,26480,26480,26354,26354,26249,26249,26104,26104,25795,25795,25752,25752,25690,25690,25028,25028,25017,25017,24889,24889,24832,24832,24705,24705,24635,24635,24548,24548,24528,24528,24317,24317,24018,24018,23740,23740,23730,23730,23632,23632,23540,23540,23510,23510,23496,23496,23488,23488,23458,23458,23415,23415,23339,23339,23291,23291,23262,23262,23190,23190,23149,23149,23009,23009,22979,22979,22951,22951,22721,22721,22712,22712,22559,22559,22482,22482,22348,22348,22098,22098,22080,22080,22030,22030,22017,22017,22003,22003,21966,21966,21949,21949,21762,21762,21624,21624,21566,21566,21550,21550,21505,21505,21463,21463,21417,21417,21388,21388,21285,21285,21264,21264,21225,21225,21210,21210,21184,21184,21153,21153,21138,21138,21092,21092,21071,21071,21026,21026,20952,20952,20509,20509,20444,20444,20439,20439,20361,20361,20325,20325,20216,20216,20176,20176,20153,20153,20076,20076,20053,20053,20046,20046,20032,20032,19983,19983,19974,19974,19954,19954,19934,19934,19909,19909,19769,19769,19700,19700,19692,19692,19676,19676,19669,19669,19597,19597,19495,19495,19355,19355,19265,19265,19212,19212,19127,19127,19048,19048,19033,19033,18958,18958,18846,18846,18749,18749,18497,18497,18406,18406,18253,18253,18119,18119,18083,18083,18070,18070,18012,18012,17966,17966,17940,17940,17918,17918,17894,17894,17865,17865,17548,17548,17431,17431,17383,17383,17368,17368,17339,17339,17276,17276,17228,17228,17142,17142,17137,17137,17127,17127,17078,17078,16924,16924,16906,16906,16872,16872,16757,16757,16737,16737,16647,16647,16633,16633,16598,16598,16521,16521,16485,16485,16458,16458,16411,16411,16404,16404,16393,16393,16380,16380,16310,16310,16277,16277,16201,16201,16195,16195,16147,16147,16137,16137,16106,16106,16070,16070,15983,15983,15947,15947,15916,15916,15910,15910,15822,15822,15789,15789,15667,15667,15636,15636,15631,15631,15626,15626,15579,15579,15538,15538,15285,15285,15217,15217,15175,15175,15152,15152,15134,15134,15079,15079,15019,15019,14997,14997,14952,14952,14897,14897,14822,14822,14737,14737,14719,14719,14713,14713,14707,14707,14697,14697,14644,14644,14627,14627,14614,14614,14603,14603,14564,14564,14538,14538,14533,14533,14394,14394,14384,14384,14365,14365,14256,14256,14188,14188,14179,14179,14155,14155,14138,14138,14121,14121,14103,14103,14062,14062,14034,14034,14028,14028,13978,13978,13962,13962,13949,13949,13914,13914,13898,13898,13893,13893,13882,13882,13841,13841,13827,13827,13792,13792,13729,13729,13642,13642,13607,13607,13578,13578,13562,13562,13545,13545,13529,13529,13518,13518,13507,13507,13495,13495,13485,13485,13442,13442,13402,13402,13378,13378,13342,13342,13324,13324,13314,13314,13272,13272,13250,13250,13205,13205,13152,13152,13145,13145,13118,13118,13112,13112,13071,13071,13060,13060,12944,12944,12895,12895,12883,12883,12856,12856,12813,12813,12803,12803,12798,12798,12792,12792,12742,12742,12734,12734,12725,12725,12711,12711,12695,12695,12687,12687,12670,12670,12665,12665,12657,12657,12600,12600,12593,12593,12583,12583,12571,12571,12482,12482,12448,12448,12415,12415,12409,12409,12345,12345,12269,12269,12244,12244,12221,12221,12216,12216,12190,12190,12123,12123,12087,12087,12042,12042,12015,12015,12010,12010,12002,12002,11993,11993,11984,11984,11967,11967,11929,11929,11919,11919,11908,11908,11854,11854,11840,11840,11833,11833,11793,11793,11786,11786,11765,11765,11739,11739,11678,11678,11661,11661,11609,11609,11601,11601,11596,11596,11584,11584,11523,11523,11510,11510,11502,11502,11452,11452,11445,11445,11429,11429,11393,11393,11374,11374,11352,11352,11337,11337,11311,11311,11304,11304,11272,11272,11248,11248,11232,11232,11169,11169,11163,11163,11144,11144,11126,11126,11114,11114,11055,11055,11038,11038,11029,11029,11000,11000,10990,10990,10980,10980,10946,10946,10933,10933,10906,10906,10899,10899,10883,10883,10870,10870,10848,10848,10818,10818,10800,10800,10757,10757,10746,10746,10728,10728,10701,10701,10674,10674,10648,10648,10637,10637,10623,10623,10616,10616,10555,10555,10548,10548,10496,10496,10483,10483,10472,10472,10458,10458,10452,10452,10442,10442,10433,10433,10427,10427,10410,10410,10393,10393,10382,10382,10373,10373,10356,10356,10344,10344,10316,10316,10311,10311,10297,10297,10269,10269,10219,10219,10199,10199,10194,10194,10158,10158,10134,10134,10126,10126,10121,10121,10105,10105,10098,10098,10084,10084,10071,10071,10064,10064,10057,10057,10050,10050,10045,10045,10037,10037,10032,10032,10025,10025,10015,10015,9986,9986,9980,9980,9975,9975,9955,9955,9925,9925,9901,9901,9874,9874,9844,9844,9821,9821,9774,9774,9761,9761,9752,9752,9735,9735,9728,9728,9723,9723,9718,9718,9696,9696,9672,9672,9654,9654,9649,9649,9644,9644,9620,9620,9606,9606,9597,9597,9592,9592,9577,9577,9571,9571,9566,9566,9548,9548,9505,9505,9495,9495,9488,9488,9471,9471,9444,9444,9418,9418,9400,9400,9392,9392,9381,9381,9342,9342,9337,9337,9329,9329,9314,9314,9286,9286,9281,9281,9273,9273,9261,9261,9253,9253,9248,9248,9227,9227,9207,9207,9201,9201,9177,9177,9142,9142,9122,9122,9104,9104,9099,9099,9092,9092,9067,9067,9053,9053,9036,9036,9013,9013,8972,8972,8963,8963,8957,8957,8952,8952,8947,8947,8929,8929,8917,8917,8898,8898,8888,8888,8866,8866,8860,8860,8842,8842,8807,8807,8798,8798,8782,8782,8776,8776,8763,8763,8756,8756,8751,8751,8739,8739,8728,8728,8722,8722,8708,8708,8691,8691,8684,8684,8675,8675,8663,8663,8657,8657,8641,8641,8600,8600,8593,8593,8588,8588,8581,8581,8562,8562,8557,8557,8550,8550,8542,8542,8535,8535,8521,8521,8515,8515,8509,8509,8495,8495,8490,8490,8475,8475,8469,8469,8442,8442,8436,8436,8431,8431,8419,8419,8381,8381,8334,8334,8309,8309,8280,8280,8275,8275,8235,8235,8230,8230,8208,8208,8200,8200,8184,8184,8174,8174,8169,8169,8152,8152,8146,8146,8131,8131,8126,8126,8093,8093,8084,8084,8071,8071,8049,8049,8033,8033,7999,7999,7985,7985,7968,7968,7961,7961,7943,7943,7910,7910,7904,7904,7871,7871,7866,7866,7861,7861,7853,7853,7840,7840,7810,7810,7801,7801,7795,7795,7787,7787,7777,7777,7750,7750,7745,7745,7739,7739,7722,7722,7712,7712,7707,7707,7700,7700,7688,7688,7677,7677,7664,7664,7653,7653,7641,7641,7626,7626,7613,7613,7603,7603,7583,7583,7571,7571,7565,7565,7548,7548,7525,7525,7509,7509,7500,7500,7494,7494,7488,7488,7483,7483,7477,7477,7463,7463,7457,7457,7452,7452,7429,7429,7417,7417,7405,7405,7394,7394,7367,7367,7360,7360,7354,7354,7348,7348,7340,7340,7335,7335,7327,7327,7319,7319,7314,7314,7301,7301,7290,7290,7285,7285,7272,7272,7259,7259,7247,7247,7233,7233,7226,7226,7212,7212,7205,7205,7200,7200,7194,7194,7185,7185,7180,7180,7170,7170,7159,7159,7154,7154,7147,7147,7127,7127,7121,7121,7113,7113,7107,7107,7101,7101,7096,7096,7070,7070,7060,7060,7055,7055,7047,7047,7039,7039,7030,7030,7025,7025,7018,7018,7002,7002,6990,6990,6973,6973,6967,6967,6962,6962,6954,6954,6947,6947,6941,6941,6932,6932,6926,6926,6920,6920,6914,6914,6903,6903,6891,6891,6880,6880,6874,6874,6857,6857,6838,6838,6819,6819,6810,6810,6804,6804,6799,6799,6794,6794,6772,6772,6765,6765,6757,6757,6739,6739,6729,6729,6724,6724,6719,6719,6710,6710,6705,6705,6700,6700,6693,6693,6687,6687,6679,6679,6667,6667,6659,6659,6650,6650,6637,6637,6627,6627,6617,6617,6611,6611,6603,6603,6598,6598,6593,6593,6587,6587,6576,6576,6571,6571,6562,6562,6557,6557,6547,6547,6538,6538,6533,6533,6527,6527,6515,6515,6507,6507,6501,6501,6491,6491,6479,6479,6472,6472,6467,6467,6458,6458,6452,6452,6444,6444,6431,6431,6426,6426,6419,6419,6414,6414,6403,6403,6376,6376,6368,6368,6359,6359,6343,6343,6335,6335,6324,6324,6317,6317,6305,6305,6300,6300,6289,6289,6279,6279,6269,6269,6264,6264,6259,6259,6251,6251,6243,6243,6229,6229,6224,6224,6218,6218,6213,6213,6208,6208,6202,6202,6195,6195,6189,6189,6180,6180,6175,6175,6167,6167,6162,6162,6151,6151,6146,6146,6141,6141,6132,6132,6121,6121,6109,6109,6090,6090,6085,6085,6080,6080,6067,6067,6058,6058,6051,6051,6046,6046,6038,6038,6031,6031,6024,6024,6019,6019,6012,6012,6005,6005,5997,5997,5990,5990,5982,5982,5972,5972,5966,5966,5960,5960,5954,5954,5944,5944,5936,5936,5931,5931,5915,5915,5909,5909,5904,5904,5898,5898,5893,5893,5888,5888,5883,5883,5869,5869,5863,5863,5845,5845,5836,5836,5829,5829,5824,5824,5809,5809,5803,5803,5796,5796,5791,5791,5784,5784,5778,5778,5773,5773,5763,5763,5758,5758,5746,5746,5732,5732,5721,5721,5715,5715,5710,5710,5695,5695,5689,5689,5684,5684,5674,5674,5669,5669,5664,5664,5657,5657,5652,5652,5646,5646,5639,5639,5634,5634,5615,5615,5610,5610,5600,5600,5594,5594,5586,5586,5581,5581,5564,5564,5556,5556,5549,5549,5544,5544,5539,5539,5534,5534,5527,5527,5520,5520,5512,5512,5507,5507,5502,5502,5496,5496,5491,5491,5480,5480,5472,5472,5466,5466,5457,5457,5452,5452,5444,5444,5435,5435,5429,5429,5422,5422,5417,5417,5412,5412,5402,5402,5396,5396,5391,5391,5384,5384,5379,5379,5371,5371,5366,5366,5355,5355,5350,5350,5344,5344,5333,5333,5328,5328,5321,5321,5314,5314,5307,5307,5299,5299,5292,5292,5287,5287,5281,5281,5273,5273,5268,5268,5259,5259,5250,5250,5244,5244,5236,5236,5231,5231,5219,5219,5213,5213,5208,5208,5202,5202,5197,5197,5191,5191,5185,5185,5171,5171,5162,5162,5157,5157,5146,5146,5140,5140,5131,5131,5125,5125,5120,5120,5109,5109,5095,5095,5085,5085,5078,5078,5072,5072,5066,5066,5056,5056,5051,5051,5046,5046,5030,5030,5023,5023,5014,5014,5007,5007],[629526,629526,629526,497484,497484,448593,448593,423854,423854,413145,413145,316679,316679,304191,304191,291209,291209,285487,285487,237377,237377,236426,236426,208180,208180,181655,181655,168601,168601,147398,147398,119329,119329,115057,115057,109175,109175,107754,107754,98801,98801,96356,96356,93546,93546,93443,93443,85446,85446,85302,85302,83280,83280,80119,80119,79370,79370,77202,77202,74170,74170,69665,69665,68910,68910,58925,58925,56645,56645,55793,55793,48230,48230,47738,47738,45055,45055,44559,44559,44451,44451,42867,42867,36632,36632,32540,32540,30517,30517,23572,23572,22556,22556,21587,21587,21311,21311,18299,18299,18268,18268,17641,17641,17469,17469,17301,17301,17243,17243,17133,17133,17059,17059,16956,16956,16937,16937,16711,16711,16506,16506,16349,16349,15854,15854,15552,15552,15367,15367,14872,14872,14824,14824,14792,14792,14446,14446,14426,14426,14243,14243,14191,14191,14143,14143,14006,14006,13915,13915,13870,13870,13857,13857,13491,13491,13384,13384,13336,13336,13216,13216,13204,13204,13038,13038,12831,12831,12503,12503,12440,12440,12357,12357,12321,12321,12193,12193,12098,12098,11877,11877,11817,11817,11784,11784,11774,11774,11728,11728,11550,11550,11482,11482,11462,11462,11401,11401,11341,11341,11270,11270,11200,11200,11189,11189,11184,11184,11158,11158,11094,11094,11041,11041,11002,11002,10904,10904,10861,10861,10814,10814,10740,10740,10730,10730,10725,10725,10703,10703,10638,10638,10577,10577,10461,10461,10414,10414,10407,10407,10326,10326,10317,10317,10309,10309,10304,10304,10298,10298,10289,10289,10115,10115,10070,10070,10035,10035,9979,9979,9949,9949,9942,9942,9935,9935,9914,9914,9905,9905,9865,9865,9772,9772,9729,9729,9717,9717,9683,9683,9672,9672,9642,9642,9583,9583,9469,9469,9463,9463,9450,9450,9433,9433,9424,9424,9383,9383,9374,9374,9340,9340,9326,9326,9317,9317,9268,9268,9257,9257,9223,9223,9143,9143,9074,9074,9061,9061,9051,9051,9020,9020,8991,8991,8812,8812,8794,8794,8779,8779,8758,8758,8728,8728,8709,8709,8703,8703,8694,8694,8632,8632,8625,8625,8610,8610,8602,8602,8597,8597,8581,8581,8531,8531,8524,8524,8508,8508,8500,8500,8495,8495,8438,8438,8429,8429,8422,8422,8393,8393,8387,8387,8361,8361,8340,8340,8331,8331,8319,8319,8305,8305,8280,8280,8180,8180,8135,8135,8087,8087,8044,8044,8001,8001,7986,7986,7966,7966,7956,7956,7949,7949,7925,7925,7910,7910,7893,7893,7881,7881,7873,7873,7864,7864,7854,7854,7813,7813,7773,7773,7767,7767,7744,7744,7735,7735,7712,7712,7654,7654,7620,7620,7615,7615,7579,7579,7566,7566,7539,7539,7528,7528,7520,7520,7512,7512,7496,7496,7473,7473,7465,7465,7458,7458,7444,7444,7420,7420,7396,7396,7372,7372,7340,7340,7298,7298,7288,7288,7263,7263,7254,7254,7246,7246,7233,7233,7219,7219,7212,7212,7183,7183,7174,7174,7167,7167,7161,7161,7151,7151,7132,7132,7101,7101,7089,7089,7084,7084,7039,7039,7028,7028,7019,7019,7011,7011,7005,7005,7000,7000,6994,6994,6980,6980,6962,6962,6956,6956,6938,6938,6931,6931,6921,6921,6909,6909,6904,6904,6899,6899,6892,6892,6883,6883,6872,6872,6831,6831,6800,6800,6777,6777,6758,6758,6753,6753,6746,6746,6736,6736,6731,6731,6714,6714,6700,6700,6678,6678,6664,6664,6658,6658,6649,6649,6643,6643,6624,6624,6618,6618,6612,6612,6592,6592,6570,6570,6560,6560,6545,6545,6493,6493,6473,6473,6468,6468,6448,6448,6441,6441,6435,6435,6420,6420,6415,6415,6397,6397,6392,6392,6383,6383,6373,6373,6346,6346,6321,6321,6308,6308,6301,6301,6292,6292,6279,6279,6273,6273,6260,6260,6242,6242,6224,6224,6211,6211,6205,6205,6176,6176,6167,6167,6158,6158,6146,6146,6129,6129,6120,6120,6112,6112,6095,6095,6087,6087,6068,6068,6057,6057,6052,6052,6041,6041,6018,6018,6013,6013,6003,6003,5997,5997,5992,5992,5973,5973,5968,5968,5930,5930,5925,5925,5901,5901,5895,5895,5887,5887,5874,5874,5867,5867,5860,5860,5844,5844,5830,5830,5822,5822,5816,5816,5810,5810,5797,5797,5779,5779,5763,5763,5753,5753,5747,5747,5742,5742,5732,5732,5724,5724,5718,5718,5708,5708,5701,5701,5695,5695,5668,5668,5654,5654,5649,5649,5642,5642,5617,5617,5609,5609,5601,5601,5596,5596,5571,5571,5550,5550,5541,5541,5533,5533,5525,5525,5516,5516,5511,5511,5502,5502,5496,5496,5489,5489,5476,5476,5462,5462,5453,5453,5445,5445,5420,5420,5392,5392,5385,5385,5378,5378,5371,5371,5362,5362,5354,5354,5347,5347,5338,5338,5333,5333,5327,5327,5310,5310,5303,5303,5297,5297,5290,5290,5284,5284,5275,5275,5266,5266,5261,5261,5250,5250,5244,5244,5238,5238,5233,5233,5226,5226,5216,5216,5209,5209,5202,5202,5193,5193,5187,5187,5171,5171,5137,5137,5130,5130,5113,5113,5090,5090,5085,5085,5080,5080,5072,5072,5067,5067,5056,5056,5050,5050,5040,5040,5034,5034,5023,5023,5014,5014,5008,5008,5002,5002],[1897668,1897668,1897668,1335758,1335758,1226549,1226549,1118226,1118226,999237,999237,905714,905714,880218,880218,617911,617911,559516,559516,475789,475789,461422,461422,363947,363947,331650,331650,320884,320884,303910,303910,270989,270989,239967,239967,234514,234514,193744,193744,188783,188783,188654,188654,184779,184779,180509,180509,177781,177781,173006,173006,153542,153542,152639,152639,132559,132559,131733,131733,125669,125669,111891,111891,107898,107898,106879,106879,102424,102424,102295,102295,95445,95445,92435,92435,90599,90599,90207,90207,83102,83102,81578,81578,81363,81363,79818,79818,76014,76014,74331,74331,70965,70965,64441,64441,61993,61993,61078,61078,59243,59243,58494,58494,57605,57605,57312,57312,55240,55240,55103,55103,55090,55090,54650,54650,53368,53368,52786,52786,51785,51785,49636,49636,48695,48695,47996,47996,47359,47359,46706,46706,45951,45951,45411,45411,44848,44848,44343,44343,42358,42358,42234,42234,41391,41391,40476,40476,39791,39791,38158,38158,37210,37210,37186,37186,36828,36828,35737,35737,35629,35629,34094,34094,33966,33966,33776,33776,33346,33346,33322,33322,33245,33245,33233,33233,33023,33023,32783,32783,32659,32659,32060,32060,31331,31331,30186,30186,30104,30104,30039,30039,29169,29169,29124,29124,28955,28955,28770,28770,28613,28613,28542,28542,28399,28399,28282,28282,28136,28136,27906,27906,27748,27748,27359,27359,26802,26802,26351,26351,25907,25907,25782,25782,25562,25562,25392,25392,25379,25379,25249,25249,24708,24708,24557,24557,24511,24511,24502,24502,24390,24390,24158,24158,24140,24140,24051,24051,24005,24005,23874,23874,22675,22675,22431,22431,22390,22390,22300,22300,22068,22068,21995,21995,21746,21746,21679,21679,21474,21474,21097,21097,20955,20955,20818,20818,20631,20631,20556,20556,20270,20270,20154,20154,19743,19743,19674,19674,19657,19657,19645,19645,19528,19528,19389,19389,19270,19270,19053,19053,18893,18893,18736,18736,18579,18579,18510,18510,18249,18249,18152,18152,18116,18116,18108,18108,18071,18071,18002,18002,17980,17980,17794,17794,17652,17652,17617,17617,17517,17517,17434,17434,17385,17385,17338,17338,17221,17221,17133,17133,17101,17101,16926,16926,16900,16900,16567,16567,16440,16440,16419,16419,16405,16405,16381,16381,16347,16347,16288,16288,16234,16234,16225,16225,16078,16078,16067,16067,15944,15944,15869,15869,15841,15841,15691,15691,15684,15684,15324,15324,15183,15183,15143,15143,15134,15134,15105,15105,15038,15038,15033,15033,15021,15021,14986,14986,14933,14933,14893,14893,14773,14773,14742,14742,14696,14696,14682,14682,14619,14619,14577,14577,14405,14405,14369,14369,14216,14216,14113,14113,14095,14095,14044,14044,13956,13956,13900,13900,13878,13878,13846,13846,13653,13653,13618,13618,13561,13561,13477,13477,13414,13414,13354,13354,13349,13349,13306,13306,13287,13287,13158,13158,13071,13071,12993,12993,12988,12988,12945,12945,12885,12885,12714,12714,12696,12696,12672,12672,12630,12630,12592,12592,12565,12565,12413,12413,12401,12401,12373,12373,12245,12245,12224,12224,12219,12219,12213,12213,12147,12147,12134,12134,11997,11997,11963,11963,11956,11956,11819,11819,11789,11789,11750,11750,11719,11719,11635,11635,11630,11630,11579,11579,11484,11484,11478,11478,11468,11468,11350,11350,11310,11310,11303,11303,11219,11219,11170,11170,11153,11153,11126,11126,11104,11104,11096,11096,11078,11078,11062,11062,11025,11025,11005,11005,10933,10933,10888,10888,10834,10834,10784,10784,10727,10727,10682,10682,10564,10564,10537,10537,10526,10526,10494,10494,10485,10485,10475,10475,10470,10470,10397,10397,10356,10356,10326,10326,10263,10263,10235,10235,10121,10121,10111,10111,10007,10007,9934,9934,9831,9831,9818,9818,9813,9813,9805,9805,9789,9789,9754,9754,9734,9734,9716,9716,9702,9702,9694,9694,9689,9689,9680,9680,9648,9648,9569,9569,9556,9556,9515,9515,9461,9461,9384,9384,9361,9361,9323,9323,9290,9290,9253,9253,9205,9205,9197,9197,9153,9153,9143,9143,9125,9125,9082,9082,9050,9050,9027,9027,8971,8971,8961,8961,8943,8943,8915,8915,8888,8888,8859,8859,8839,8839,8833,8833,8826,8826,8743,8743,8727,8727,8716,8716,8699,8699,8689,8689,8678,8678,8610,8610,8581,8581,8572,8572,8543,8543,8535,8535,8498,8498,8408,8408,8397,8397,8247,8247,8227,8227,8205,8205,8176,8176,8171,8171,8163,8163,8113,8113,8104,8104,8063,8063,7912,7912,7841,7841,7835,7835,7830,7830,7817,7817,7812,7812,7781,7781,7761,7761,7742,7742,7719,7719,7682,7682,7653,7653,7635,7635,7617,7617,7612,7612,7585,7585,7555,7555,7541,7541,7516,7516,7491,7491,7479,7479,7441,7441,7430,7430,7395,7395,7342,7342,7322,7322,7317,7317,7304,7304,7299,7299,7263,7263,7254,7254,7188,7188,7162,7162,7147,7147,7132,7132,7106,7106,7100,7100,7066,7066,7039,7039,7023,7023,6984,6984,6972,6972,6950,6950,6931,6931,6909,6909,6897,6897,6816,6816,6782,6782,6757,6757,6752,6752,6738,6738,6717,6717,6708,6708,6672,6672,6657,6657,6648,6648,6621,6621,6608,6608,6592,6592,6563,6563,6551,6551,6539,6539,6530,6530,6455,6455,6428,6428,6414,6414,6392,6392,6383,6383,6361,6361,6349,6349,6343,6343,6320,6320,6305,6305,6295,6295,6278,6278,6229,6229,6213,6213,6190,6190,6184,6184,6164,6164,6144,6144,6132,6132,6104,6104,6095,6095,6047,6047,6035,6035,6019,6019,5954,5954,5943,5943,5906,5906,5892,5892,5872,5872,5856,5856,5843,5843,5778,5778,5766,5766,5747,5747,5724,5724,5698,5698,5692,5692,5682,5682,5674,5674,5661,5661,5654,5654,5635,5635,5621,5621,5593,5593,5584,5584,5575,5575,5568,5568,5510,5510,5493,5493,5486,5486,5470,5470,5447,5447,5435,5435,5419,5419,5408,5408,5391,5391,5375,5375,5355,5355,5349,5349,5333,5333,5317,5317,5302,5302,5287,5287,5280,5280,5275,5275,5237,5237,5231,5231,5219,5219,5201,5201,5177,5177,5163,5163,5144,5144,5132,5132,5127,5127,5093,5093,5088,5088,5075,5075,5051,5051,5028,5028,5021,5021],[295603,295603,295603,286863,286863,280625,280625,252904,252904,224535,224535,212886,212886,199389,199389,188670,188670,167475,167475,166458,166458,159706,159706,155013,155013,151891,151891,149813,149813,144909,144909,138410,138410,137210,137210,129857,129857,124100,124100,123497,123497,121806,121806,119932,119932,118961,118961,118895,118895,117583,117583,117305,117305,115284,115284,101227,101227,100869,100869,95258,95258,94767,94767,91244,91244,88374,88374,80943,80943,79236,79236,78276,78276,75902,75902,75706,75706,75418,75418,75234,75234,75189,75189,75032,75032,74823,74823,74507,74507,72733,72733,72091,72091,71467,71467,70204,70204,70148,70148,69196,69196,69093,69093,69000,69000,68021,68021,67852,67852,67426,67426,66957,66957,66561,66561,66151,66151,65681,65681,64154,64154,63499,63499,63100,63100,62617,62617,62227,62227,61740,61740,59262,59262,58870,58870,58527,58527,57962,57962,57518,57518,57450,57450,56917,56917,56676,56676,55489,55489,55299,55299,55247,55247,53917,53917,53909,53909,53902,53902,52783,52783,52504,52504,52462,52462,52447,52447,51151,51151,50908,50908,50768,50768,50402,50402,50166,50166,49381,49381,49168,49168,48942,48942,48794,48794,48472,48472,48131,48131,47755,47755,47644,47644,46779,46779,46637,46637,46303,46303,46068,46068,45926,45926,45799,45799,44945,44945,44814,44814,44789,44789,44780,44780,44619,44619,44510,44510,44319,44319,44130,44130,44062,44062,43468,43468,43013,43013,42882,42882,42758,42758,41943,41943,41786,41786,40760,40760,40624,40624,40606,40606,40560,40560,40487,40487,39847,39847,39828,39828,39359,39359,39072,39072,39005,39005,38930,38930,38741,38741,38728,38728,38691,38691,38556,38556,38237,38237,38039,38039,37803,37803,37710,37710,37676,37676,37544,37544,37478,37478,37243,37243,37040,37040,36673,36673,36660,36660,36617,36617,36606,36606,36586,36586,36543,36543,36470,36470,36344,36344,36301,36301,35996,35996,35568,35568,35515,35515,35501,35501,35437,35437,34652,34652,34307,34307,34052,34052,34018,34018,33973,33973,33357,33357,33248,33248,33044,33044,32776,32776,32663,32663,32653,32653,31547,31547,31486,31486,31413,31413,31255,31255,31197,31197,31133,31133,31038,31038,31000,31000,30775,30775,30567,30567,30347,30347,30315,30315,30238,30238,30160,30160,30082,30082,29984,29984,29717,29717,29584,29584,29355,29355,29024,29024,28933,28933,28911,28911,28896,28896,28671,28671,28634,28634,28564,28564,28186,28186,28134,28134,28088,28088,28054,28054,27964,27964,27762,27762,27657,27657,27571,27571,27382,27382,27319,27319,27278,27278,27097,27097,27085,27085,27040,27040,26491,26491,26356,26356,26122,26122,26037,26037,25941,25941,25923,25923,25841,25841,25824,25824,25609,25609,25558,25558,25425,25425,25284,25284,25272,25272,25195,25195,24951,24951,24938,24938,24828,24828,24773,24773,24635,24635,24548,24548,24543,24543,24374,24374,24180,24180,24113,24113,24007,24007,23818,23818,23779,23779,23772,23772,23751,23751,23681,23681,23612,23612,23525,23525,23514,23514,23454,23454,23352,23352,23317,23317,23205,23205,23167,23167,23147,23147,23078,23078,23056,23056,23010,23010,22983,22983,22863,22863,22734,22734,22469,22469,22453,22453,22423,22423,22316,22316,22311,22311,22287,22287,22190,22190,22147,22147,22099,22099,22045,22045,21962,21962,21940,21940,21920,21920,21909,21909,21851,21851,21739,21739,21540,21540,21479,21479,21461,21461,21409,21409,21320,21320,21246,21246,21160,21160,21046,21046,21035,21035,21005,21005,20932,20932,20920,20920,20874,20874,20854,20854,20814,20814,20771,20771,20710,20710,20694,20694,20527,20527,20511,20511,20463,20463,20406,20406,20389,20389,20356,20356,20351,20351,20307,20307,20298,20298,20284,20284,20229,20229,20201,20201,20169,20169,20060,20060,20038,20038,19984,19984,19792,19792,19718,19718,19694,19694,19556,19556,19464,19464,19243,19243,19123,19123,19047,19047,19030,19030,19020,19020,18986,18986,18913,18913,18830,18830,18819,18819,18803,18803,18787,18787,18725,18725,18621,18621,18467,18467,18360,18360,18324,18324,18265,18265,18212,18212,18147,18147,18049,18049,17925,17925,17867,17867,17861,17861,17850,17850,17824,17824,17812,17812,17731,17731,17650,17650,17639,17639,17605,17605,17538,17538,17516,17516,17444,17444,17368,17368,17343,17343,17275,17275,17128,17128,17122,17122,17074,17074,16967,16967,16899,16899,16858,16858,16838,16838,16822,16822,16762,16762,16746,16746,16741,16741,16546,16546,16518,16518,16492,16492,16446,16446,16439,16439,16421,16421,16410,16410,16287,16287,16279,16279,16269,16269,16092,16092,16061,16061,16049,16049,15995,15995,15989,15989,15965,15965,15847,15847,15806,15806,15790,15790,15785,15785,15761,15761,15741,15741,15720,15720,15715,15715,15690,15690,15593,15593,15546,15546,15533,15533,15527,15527,15511,15511,15464,15464,15457,15457,15387,15387,15300,15300,15209,15209,15167,15167,15108,15108,15103,15103,15081,15081,15060,15060,15053,15053,14969,14969,14958,14958,14939,14939,14847,14847,14821,14821,14795,14795,14776,14776,14767,14767,14728,14728,14697,14697,14670,14670,14611,14611,14587,14587,14573,14573,14558,14558,14536,14536,14511,14511,14473,14473,14452,14452,14423,14423,14408,14408,14376,14376,14351,14351,14342,14342,14331,14331,14319,14319,14313,14313,14300,14300,14269,14269,14240,14240,14235,14235,14196,14196,14187,14187,14165,14165,14149,14149,14139,14139,14075,14075,14070,14070,14059,14059,14053,14053,14034,14034,13998,13998,13977,13977,13908,13908,13897,13897,13884,13884,13827,13827,13817,13817,13734,13734,13689,13689,13664,13664,13658,13658,13651,13651,13645,13645,13619,13619,13583,13583,13548,13548,13522,13522,13517,13517,13464,13464,13449,13449,13405,13405,13385,13385,13375,13375,13367,13367,13360,13360,13321,13321,13271,13271,13253,13253,13229,13229,13217,13217,13191,13191,13155,13155,13150,13150,13133,13133,13121,13121,13104,13104,13096,13096,13063,13063,13043,13043,13038,13038,13026,13026,12998,12998,12969,12969,12961,12961,12956,12956,12914,12914,12899,12899,12862,12862,12851,12851,12809,12809,12790,12790,12784,12784,12778,12778,12755,12755,12745,12745,12735,12735,12694,12694,12663,12663,12652,12652,12640,12640,12632,12632,12613,12613,12605,12605,12585,12585,12573,12573,12562,12562,12552,12552,12532,12532,12527,12527,12501,12501,12482,12482,12467,12467,12438,12438,12418,12418,12401,12401,12378,12378,12363,12363,12348,12348,12310,12310,12296,12296,12288,12288,12273,12273,12263,12263,12236,12236,12223,12223,12186,12186,12176,12176,12157,12157,12152,12152,12127,12127,12085,12085,12076,12076,12031,12031,12025,12025,11986,11986,11980,11980,11967,11967,11953,11953,11940,11940,11925,11925,11916,11916,11903,11903,11891,11891,11881,11881,11866,11866,11861,11861,11805,11805,11798,11798,11769,11769,11738,11738,11732,11732,11661,11661,11649,11649,11637,11637,11627,11627,11620,11620,11601,11601,11580,11580,11561,11561,11555,11555,11541,11541,11521,11521,11490,11490,11479,11479,11420,11420,11402,11402,11397,11397,11380,11380,11356,11356,11344,11344,11337,11337,11318,11318,11302,11302,11284,11284,11273,11273,11267,11267,11202,11202,11192,11192,11180,11180,11131,11131,11075,11075,10989,10989,10977,10977,10969,10969,10917,10917,10912,10912,10907,10907,10895,10895,10878,10878,10869,10869,10851,10851,10836,10836,10826,10826,10821,10821,10816,10816,10805,10805,10784,10784,10766,10766,10753,10753,10745,10745,10731,10731,10723,10723,10686,10686,10674,10674,10663,10663,10658,10658,10650,10650,10643,10643,10631,10631,10596,10596,10587,10587,10560,10560,10553,10553,10530,10530,10512,10512,10496,10496,10486,10486,10481,10481,10476,10476,10464,10464,10439,10439,10432,10432,10423,10423,10411,10411,10400,10400,10351,10351,10340,10340,10329,10329,10309,10309,10255,10255,10248,10248,10237,10237,10224,10224,10203,10203,10167,10167,10162,10162,10145,10145,10137,10137,10127,10127,10110,10110,10089,10089,10076,10076,10064,10064,10041,10041,10001,10001,9990,9990,9977,9977,9971,9971,9965,9965,9926,9926,9920,9920,9914,9914,9902,9902,9894,9894,9885,9885,9863,9863,9855,9855,9846,9846,9840,9840,9827,9827,9820,9820,9801,9801,9793,9793,9782,9782,9772,9772,9760,9760,9752,9752,9747,9747,9731,9731,9718,9718,9702,9702,9686,9686,9657,9657,9638,9638,9622,9622,9601,9601,9571,9571,9557,9557,9552,9552,9547,9547,9535,9535,9522,9522,9517,9517,9511,9511,9458,9458,9444,9444,9420,9420,9402,9402,9369,9369,9364,9364,9359,9359,9346,9346,9327,9327,9319,9319,9295,9295,9279,9279,9271,9271,9260,9260,9255,9255,9247,9247,9228,9228,9222,9222,9213,9213,9204,9204,9194,9194,9182,9182,9166,9166,9146,9146,9119,9119,9114,9114,9104,9104,9088,9088,9077,9077,9068,9068,9045,9045,9035,9035,9029,9029,9022,9022,9014,9014,9007,9007,9002,9002,8991,8991,8985,8985,8978,8978,8968,8968,8960,8960,8951,8951,8941,8941,8926,8926,8912,8912,8901,8901,8895,8895,8888,8888,8882,8882,8873,8873,8864,8864,8858,8858,8850,8850,8844,8844,8839,8839,8831,8831,8824,8824,8811,8811,8802,8802,8797,8797,8791,8791,8783,8783,8769,8769,8761,8761,8752,8752,8745,8745,8735,8735,8729,8729,8723,8723,8715,8715,8709,8709,8701,8701,8690,8690,8680,8680,8673,8673,8667,8667,8659,8659,8648,8648,8641,8641,8633,8633,8603,8603,8597,8597,8583,8583,8570,8570,8561,8561,8551,8551,8539,8539,8513,8513,8505,8505,8492,8492,8487,8487,8455,8455,8449,8449,8441,8441,8433,8433,8420,8420,8410,8410,8383,8383,8376,8376,8371,8371,8363,8363,8356,8356,8322,8322,8316,8316,8310,8310,8293,8293,8287,8287,8282,8282,8274,8274,8259,8259,8254,8254,8248,8248,8243,8243,8234,8234,8228,8228,8223,8223,8217,8217,8209,8209,8201,8201,8196,8196,8190,8190,8177,8177,8167,8167,8160,8160,8155,8155,8143,8143,8136,8136,8115,8115,8110,8110,8095,8095,8086,8086,8081,8081,8075,8075,8067,8067,8062,8062,8051,8051,8043,8043,8029,8029,8005,8005,7996,7996,7987,7987,7972,7972,7953,7953,7944,7944,7934,7934,7927,7927,7914,7914,7901,7901,7892,7892,7879,7879,7863,7863,7856,7856,7849,7849,7841,7841,7835,7835,7828,7828,7818,7818,7807,7807,7800,7800,7795,7795,7790,7790,7785,7785,7778,7778,7769,7769,7764,7764,7759,7759,7753,7753,7738,7738,7732,7732,7723,7723,7715,7715,7701,7701,7694,7694,7685,7685,7678,7678,7673,7673,7661,7661,7651,7651,7646,7646,7641,7641,7636,7636,7631,7631,7624,7624,7618,7618,7608,7608,7601,7601,7594,7594,7580,7580,7573,7573,7567,7567,7560,7560,7544,7544,7529,7529,7523,7523,7510,7510,7501,7501,7494,7494,7487,7487,7481,7481,7460,7460,7454,7454,7449,7449,7443,7443,7435,7435,7425,7425,7416,7416,7409,7409,7400,7400,7391,7391,7386,7386,7379,7379,7373,7373,7365,7365,7360,7360,7346,7346,7340,7340,7335,7335,7328,7328,7320,7320,7314,7314,7306,7306,7299,7299,7294,7294,7289,7289,7284,7284,7276,7276,7270,7270,7263,7263,7255,7255,7249,7249,7244,7244,7229,7229,7211,7211,7196,7196,7191,7191,7185,7185,7176,7176,7169,7169,7158,7158,7145,7145,7138,7138,7133,7133,7127,7127,7122,7122,7109,7109,7099,7099,7093,7093,7082,7082,7070,7070,7049,7049,7041,7041,7036,7036,7025,7025,7018,7018,6997,6997,6987,6987,6979,6979,6972,6972,6963,6963,6957,6957,6943,6943,6935,6935,6929,6929,6914,6914,6901,6901,6895,6895,6881,6881,6872,6872,6867,6867,6860,6860,6850,6850,6844,6844,6839,6839,6834,6834,6823,6823,6810,6810,6802,6802,6794,6794,6785,6785,6778,6778,6768,6768,6762,6762,6757,6757,6748,6748,6741,6741,6733,6733,6727,6727,6720,6720,6712,6712,6695,6695,6682,6682,6677,6677,6670,6670,6661,6661,6654,6654,6645,6645,6638,6638,6630,6630,6625,6625,6611,6611,6599,6599,6593,6593,6585,6585,6580,6580,6573,6573,6565,6565,6560,6560,6554,6554,6549,6549,6538,6538,6532,6532,6522,6522,6515,6515,6508,6508,6500,6500,6493,6493,6484,6484,6478,6478,6467,6467,6456,6456,6450,6450,6441,6441,6435,6435,6429,6429,6407,6407,6402,6402,6385,6385,6378,6378,6372,6372,6362,6362,6357,6357,6352,6352,6346,6346,6341,6341,6332,6332,6319,6319,6314,6314,6308,6308,6298,6298,6291,6291,6285,6285,6278,6278,6271,6271,6262,6262,6256,6256,6251,6251,6244,6244,6237,6237,6228,6228,6221,6221,6211,6211,6206,6206,6197,6197,6191,6191,6186,6186,6181,6181,6174,6174,6168,6168,6161,6161,6150,6150,6143,6143,6137,6137,6132,6132,6125,6125,6117,6117,6106,6106,6101,6101,6095,6095,6087,6087,6081,6081,6074,6074,6069,6069,6057,6057,6049,6049,6043,6043,6038,6038,6031,6031,6009,6009,6002,6002,5997,5997,5992,5992,5985,5985,5979,5979,5973,5973,5968,5968,5962,5962,5957,5957,5951,5951,5945,5945,5936,5936,5930,5930,5925,5925,5913,5913,5908,5908,5902,5902,5893,5893,5886,5886,5881,5881,5876,5876,5861,5861,5852,5852,5847,5847,5841,5841,5835,5835,5828,5828,5820,5820,5814,5814,5808,5808,5801,5801,5796,5796,5787,5787,5782,5782,5775,5775,5769,5769,5764,5764,5759,5759,5753,5753,5745,5745,5740,5740,5734,5734,5729,5729,5720,5720,5714,5714,5708,5708,5703,5703,5693,5693,5688,5688,5683,5683,5678,5678,5673,5673,5668,5668,5661,5661,5652,5652,5644,5644,5633,5633,5628,5628,5622,5622,5617,5617,5612,5612,5604,5604,5598,5598,5589,5589,5582,5582,5577,5577,5572,5572,5566,5566,5560,5560,5550,5550,5544,5544,5539,5539,5522,5522,5517,5517,5512,5512,5505,5505,5500,5500,5495,5495,5488,5488,5482,5482,5472,5472,5466,5466,5460,5460,5454,5454,5444,5444,5439,5439,5434,5434,5428,5428,5421,5421,5413,5413,5408,5408,5401,5401,5396,5396,5388,5388,5382,5382,5376,5376,5371,5371,5366,5366,5360,5360,5355,5355,5349,5349,5344,5344,5339,5339,5331,5331,5326,5326,5321,5321,5314,5314,5308,5308,5302,5302,5296,5296,5290,5290,5284,5284,5278,5278,5273,5273,5266,5266,5261,5261,5250,5250,5245,5245,5238,5238,5233,5233,5228,5228,5222,5222,5217,5217,5212,5212,5206,5206,5201,5201,5196,5196,5191,5191,5184,5184,5179,5179,5173,5173,5166,5166,5161,5161,5155,5155,5150,5150,5144,5144,5138,5138,5132,5132,5127,5127,5120,5120,5111,5111,5106,5106,5100,5100,5094,5094,5088,5088,5083,5083,5077,5077,5072,5072,5067,5067,5062,5062,5057,5057,5051,5051,5046,5046,5038,5038,5033,5033,5028,5028,5020,5020,5008,5008,5003,5003],[707197,707197,707197,520841,520841,447953,447953,433083,433083,310184,310184,289187,289187,282053,282053,277143,277143,266736,266736,247167,247167,246856,246856,235623,235623,200840,200840,194194,194194,190486,190486,176126,176126,150344,150344,137844,137844,124236,124236,118009,118009,115044,115044,113673,113673,107877,107877,104712,104712,87918,87918,85777,85777,75928,75928,75183,75183,74808,74808,69521,69521,68344,68344,65588,65588,64238,64238,61616,61616,59619,59619,56487,56487,56418,56418,55840,55840,54492,54492,52513,52513,52507,52507,52305,52305,51545,51545,51524,51524,49232,49232,48539,48539,48003,48003,47221,47221,46877,46877,46498,46498,44606,44606,44305,44305,44067,44067,43212,43212,43206,43206,42230,42230,41870,41870,41802,41802,40942,40942,40020,40020,39889,39889,38682,38682,38552,38552,38047,38047,37738,37738,37584,37584,37548,37548,37159,37159,37074,37074,36826,36826,36612,36612,36546,36546,36308,36308,36236,36236,35694,35694,35435,35435,35186,35186,35100,35100,34457,34457,34235,34235,34192,34192,34121,34121,33966,33966,33748,33748,33663,33663,33618,33618,33534,33534,33339,33339,33319,33319,33096,33096,32686,32686,32641,32641,32596,32596,32228,32228,32194,32194,31915,31915,31725,31725,31677,31677,31541,31541,31329,31329,31151,31151,30677,30677,30506,30506,30375,30375,30334,30334,30051,30051,30001,30001,29374,29374,28770,28770,28723,28723,28692,28692,28452,28452,27938,27938,27876,27876,27784,27784,27400,27400,27265,27265,27129,27129,27081,27081,27026,27026,26983,26983,26668,26668,26611,26611,26524,26524,26367,26367,26203,26203,26124,26124,26041,26041,26017,26017,25581,25581,25417,25417,25391,25391,25185,25185,25056,25056,25027,25027,25011,25011,24890,24890,24875,24875,24805,24805,24724,24724,24517,24517,24136,24136,24116,24116,23690,23690,23588,23588,23558,23558,23458,23458,23297,23297,23278,23278,23268,23268,23106,23106,23096,23096,22646,22646,22633,22633,22537,22537,22444,22444,22242,22242,21952,21952,21931,21931,21868,21868,21673,21673,21633,21633,21485,21485,21391,21391,21358,21358,21251,21251,21115,21115,21045,21045,20993,20993,20978,20978,20936,20936,20899,20899,20683,20683,20541,20541,20311,20311,20304,20304,20234,20234,20208,20208,20202,20202,20181,20181,20155,20155,19982,19982,19926,19926,19902,19902,19826,19826,19568,19568,19511,19511,19491,19491,19311,19311,19261,19261,19253,19253,19171,19171,19148,19148,19081,19081,18960,18960,18945,18945,18901,18901,18892,18892,18758,18758,18675,18675,18596,18596,18557,18557,18443,18443,18430,18430,18368,18368,18276,18276,18262,18262,18212,18212,18150,18150,18084,18084,18064,18064,18003,18003,17978,17978,17867,17867,17753,17753,17746,17746,17732,17732,17654,17654,17610,17610,17591,17591,17571,17571,17529,17529,17364,17364,17322,17322,17313,17313,17225,17225,17177,17177,17136,17136,17078,17078,17037,17037,16998,16998,16875,16875,16865,16865,16848,16848,16797,16797,16668,16668,16482,16482,16445,16445,16394,16394,16381,16381,16292,16292,16224,16224,16172,16172,16103,16103,16091,16091,16081,16081,15942,15942,15936,15936,15914,15914,15788,15788,15777,15777,15764,15764,15698,15698,15629,15629,15527,15527,15513,15513,15499,15499,15432,15432,15407,15407,15350,15350,15324,15324,15279,15279,15160,15160,15133,15133,15065,15065,15055,15055,14944,14944,14909,14909,14901,14901,14883,14883,14843,14843,14746,14746,14722,14722,14623,14623,14568,14568,14526,14526,14472,14472,14466,14466,14293,14293,14279,14279,14217,14217,14207,14207,14159,14159,14130,14130,14085,14085,14040,14040,14011,14011,13997,13997,13982,13982,13966,13966,13894,13894,13866,13866,13849,13849,13815,13815,13759,13759,13751,13751,13711,13711,13700,13700,13654,13654,13649,13649,13594,13594,13588,13588,13533,13533,13500,13500,13461,13461,13414,13414,13370,13370,13359,13359,13350,13350,13336,13336,13323,13323,13272,13272,13251,13251,13219,13219,13209,13209,13191,13191,13152,13152,13069,13069,12955,12955,12915,12915,12894,12894,12831,12831,12818,12818,12779,12779,12751,12751,12684,12684,12661,12661,12627,12627,12571,12571,12553,12553,12529,12529,12504,12504,12472,12472,12435,12435,12388,12388,12296,12296,12291,12291,12277,12277,12138,12138,12108,12108,12074,12074,11980,11980,11951,11951,11946,11946,11934,11934,11898,11898,11825,11825,11756,11756,11700,11700,11690,11690,11666,11666,11600,11600,11546,11546,11541,11541,11530,11530,11516,11516,11470,11470,11446,11446,11410,11410,11393,11393,11352,11352,11332,11332,11240,11240,11155,11155,11142,11142,11128,11128,11123,11123,11060,11060,11037,11037,11026,11026,11012,11012,11005,11005,10985,10985,10961,10961,10918,10918,10788,10788,10783,10783,10753,10753,10676,10676,10661,10661,10624,10624,10598,10598,10582,10582,10524,10524,10499,10499,10457,10457,10448,10448,10391,10391,10376,10376,10361,10361,10299,10299,10266,10266,10227,10227,10218,10218,10161,10161,10148,10148,10118,10118,10098,10098,10058,10058,10008,10008,9967,9967,9902,9902,9867,9867,9709,9709,9698,9698,9693,9693,9673,9673,9589,9589,9583,9583,9576,9576,9552,9552,9547,9547,9522,9522,9481,9481,9467,9467,9451,9451,9432,9432,9421,9421,9411,9411,9401,9401,9384,9384,9365,9365,9348,9348,9305,9305,9285,9285,9237,9237,9211,9211,9192,9192,9177,9177,9134,9134,9094,9094,9072,9072,9045,9045,9013,9013,8970,8970,8963,8963,8907,8907,8890,8890,8812,8812,8795,8795,8786,8786,8780,8780,8756,8756,8746,8746,8724,8724,8713,8713,8704,8704,8654,8654,8638,8638,8612,8612,8601,8601,8595,8595,8588,8588,8548,8548,8528,8528,8514,8514,8504,8504,8499,8499,8493,8493,8444,8444,8410,8410,8381,8381,8351,8351,8338,8338,8311,8311,8296,8296,8214,8214,8198,8198,8185,8185,8163,8163,8100,8100,8087,8087,8075,8075,8070,8070,8040,8040,8024,8024,7981,7981,7968,7968,7928,7928,7918,7918,7910,7910,7902,7902,7892,7892,7878,7878,7860,7860,7852,7852,7835,7835,7809,7809,7787,7787,7778,7778,7773,7773,7767,7767,7752,7752,7737,7737,7717,7717,7689,7689,7661,7661,7655,7655,7617,7617,7609,7609,7591,7591,7569,7569,7564,7564,7556,7556,7507,7507,7498,7498,7491,7491,7480,7480,7474,7474,7460,7460,7447,7447,7438,7438,7433,7433,7421,7421,7396,7396,7372,7372,7357,7357,7317,7317,7310,7310,7289,7289,7279,7279,7262,7262,7238,7238,7182,7182,7172,7172,7146,7146,7113,7113,7108,7108,7092,7092,7076,7076,7064,7064,7051,7051,7017,7017,7005,7005,6993,6993,6988,6988,6983,6983,6976,6976,6968,6968,6963,6963,6957,6957,6947,6947,6917,6917,6907,6907,6894,6894,6868,6868,6836,6836,6823,6823,6808,6808,6795,6795,6780,6780,6767,6767,6720,6720,6699,6699,6686,6686,6679,6679,6661,6661,6645,6645,6624,6624,6607,6607,6579,6579,6561,6561,6554,6554,6546,6546,6491,6491,6472,6472,6459,6459,6442,6442,6422,6422,6404,6404,6373,6373,6360,6360,6354,6354,6347,6347,6332,6332,6289,6289,6277,6277,6253,6253,6246,6246,6224,6224,6212,6212,6197,6197,6171,6171,6155,6155,6139,6139,6133,6133,6124,6124,6115,6115,6107,6107,6101,6101,6093,6093,6079,6079,6073,6073,6063,6063,6057,6057,6011,6011,5982,5982,5975,5975,5970,5970,5959,5959,5935,5935,5920,5920,5911,5911,5905,5905,5894,5894,5876,5876,5871,5871,5845,5845,5833,5833,5822,5822,5811,5811,5797,5797,5787,5787,5781,5781,5776,5776,5769,5769,5761,5761,5755,5755,5745,5745,5734,5734,5727,5727,5715,5715,5692,5692,5656,5656,5638,5638,5631,5631,5625,5625,5620,5620,5615,5615,5608,5608,5595,5595,5590,5590,5562,5562,5554,5554,5537,5537,5528,5528,5522,5522,5516,5516,5511,5511,5502,5502,5469,5469,5463,5463,5441,5441,5430,5430,5423,5423,5416,5416,5410,5410,5399,5399,5392,5392,5379,5379,5357,5357,5352,5352,5345,5345,5340,5340,5335,5335,5329,5329,5316,5316,5303,5303,5278,5278,5272,5272,5261,5261,5230,5230,5203,5203,5197,5197,5185,5185,5178,5178,5172,5172,5155,5155,5134,5134,5119,5119,5109,5109,5103,5103,5090,5090,5074,5074,5065,5065,5058,5058,5049,5049,5044,5044,5035,5035,5023,5023,5013,5013,5007,5007,5000,5000],[1128029,1128029,1128029,860781,860781,363740,363740,278047,278047,268337,268337,220611,220611,184730,184730,164971,164971,154261,154261,152472,152472,142224,142224,114101,114101,113446,113446,102368,102368,95929,95929,88237,88237,88045,88045,81823,81823,80983,80983,78121,78121,78018,78018,73667,73667,71172,71172,69897,69897,69619,69619,69507,69507,68950,68950,67773,67773,67067,67067,66026,66026,64643,64643,63838,63838,61771,61771,60419,60419,59415,59415,58072,58072,57792,57792,57109,57109,54834,54834,54624,54624,54516,54516,54368,54368,52027,52027,50651,50651,49164,49164,48660,48660,48203,48203,47451,47451,46490,46490,45756,45756,44499,44499,44086,44086,43424,43424,42821,42821,42378,42378,42255,42255,42128,42128,41671,41671,41081,41081,41041,41041,40783,40783,40333,40333,40317,40317,39483,39483,39104,39104,38931,38931,38735,38735,38564,38564,38414,38414,38011,38011,37587,37587,37222,37222,36435,36435,36281,36281,36187,36187,36003,36003,35850,35850,35769,35769,35034,35034,33441,33441,32614,32614,31671,31671,31586,31586,31530,31530,31303,31303,31081,31081,30427,30427,29731,29731,29703,29703,29252,29252,28823,28823,28598,28598,28554,28554,28510,28510,28451,28451,28441,28441,28339,28339,28242,28242,28097,28097,27992,27992,27439,27439,27316,27316,27052,27052,26858,26858,26800,26800,26523,26523,26334,26334,26325,26325,26055,26055,26025,26025,25562,25562,25547,25547,25335,25335,25298,25298,25074,25074,25060,25060,25015,25015,24731,24731,24707,24707,24680,24680,24492,24492,24358,24358,24266,24266,24208,24208,24071,24071,23724,23724,23645,23645,23361,23361,23293,23293,23270,23270,23241,23241,23111,23111,22834,22834,22729,22729,22663,22663,22655,22655,22571,22571,22554,22554,22393,22393,22344,22344,22233,22233,21879,21879,21809,21809,21575,21575,21509,21509,21174,21174,20963,20963,20889,20889,20765,20765,20674,20674,20653,20653,20464,20464,20438,20438,20417,20417,20336,20336,20327,20327,20199,20199,20159,20159,20110,20110,20091,20091,19997,19997,19931,19931,19819,19819,19610,19610,19601,19601,19566,19566,19477,19477,19395,19395,19369,19369,19323,19323,19285,19285,19274,19274,19215,19215,19178,19178,19105,19105,19023,19023,18951,18951,18881,18881,18827,18827,18768,18768,18710,18710,18617,18617,18547,18547,18537,18537,18497,18497,18457,18457,18444,18444,18433,18433,18397,18397,18354,18354,18322,18322,18062,18062,17979,17979,17915,17915,17900,17900,17868,17868,17840,17840,17826,17826,17806,17806,17791,17791,17750,17750,17742,17742,17388,17388,17381,17381,17286,17286,17227,17227,17215,17215,17185,17185,17073,17073,17011,17011,16978,16978,16958,16958,16873,16873,16803,16803,16708,16708,16691,16691,16664,16664,16637,16637,16613,16613,16554,16554,16509,16509,16468,16468,16448,16448,16427,16427,16319,16319,16255,16255,16210,16210,16159,16159,16151,16151,16126,16126,16068,16068,16037,16037,16019,16019,15978,15978,15936,15936,15914,15914,15890,15890,15883,15883,15872,15872,15856,15856,15822,15822,15743,15743,15723,15723,15713,15713,15621,15621,15594,15594,15588,15588,15576,15576,15529,15529,15451,15451,15394,15394,15380,15380,15328,15328,15288,15288,15273,15273,15219,15219,15199,15199,15186,15186,15157,15157,15093,15093,15068,15068,15049,15049,14930,14930,14878,14878,14861,14861,14830,14830,14744,14744,14717,14717,14650,14650,14621,14621,14539,14539,14494,14494,14463,14463,14451,14451,14421,14421,14396,14396,14365,14365,14301,14301,14224,14224,14211,14211,14194,14194,14138,14138,14094,14094,14027,14027,14011,14011,13958,13958,13917,13917,13891,13891,13836,13836,13808,13808,13802,13802,13787,13787,13723,13723,13713,13713,13682,13682,13621,13621,13596,13596,13583,13583,13558,13558,13542,13542,13501,13501,13490,13490,13476,13476,13459,13459,13452,13452,13409,13409,13389,13389,13380,13380,13341,13341,13328,13328,13282,13282,13261,13261,13221,13221,13206,13206,13185,13185,13151,13151,13101,13101,13081,13081,13072,13072,13063,13063,13045,13045,13019,13019,13012,13012,13000,13000,12974,12974,12959,12959,12930,12930,12875,12875,12870,12870,12862,12862,12856,12856,12759,12759,12754,12754,12744,12744,12703,12703,12664,12664,12659,12659,12638,12638,12630,12630,12584,12584,12575,12575,12555,12555,12537,12537,12527,12527,12481,12481,12476,12476,12465,12465,12459,12459,12451,12451,12444,12444,12439,12439,12383,12383,12366,12366,12356,12356,12342,12342,12329,12329,12320,12320,12251,12251,12225,12225,12201,12201,12193,12193,12154,12154,12120,12120,12092,12092,12069,12069,12061,12061,12050,12050,12043,12043,12033,12033,12016,12016,11963,11963,11944,11944,11925,11925,11920,11920,11874,11874,11867,11867,11861,11861,11795,11795,11787,11787,11771,11771,11742,11742,11728,11728,11676,11676,11653,11653,11648,11648,11633,11633,11624,11624,11611,11611,11603,11603,11585,11585,11556,11556,11546,11546,11537,11537,11506,11506,11493,11493,11486,11486,11480,11480,11437,11437,11420,11420,11405,11405,11340,11340,11320,11320,11289,11289,11273,11273,11257,11257,11251,11251,11242,11242,11225,11225,11213,11213,11166,11166,11159,11159,11148,11148,11132,11132,11114,11114,11108,11108,11083,11083,11078,11078,11035,11035,11013,11013,10999,10999,10991,10991,10986,10986,10957,10957,10933,10933,10928,10928,10922,10922,10913,10913,10899,10899,10872,10872,10861,10861,10851,10851,10846,10846,10838,10838,10819,10819,10811,10811,10784,10784,10765,10765,10760,10760,10746,10746,10709,10709,10697,10697,10692,10692,10659,10659,10640,10640,10626,10626,10607,10607,10563,10563,10544,10544,10529,10529,10519,10519,10512,10512,10432,10432,10424,10424,10413,10413,10392,10392,10357,10357,10351,10351,10341,10341,10318,10318,10308,10308,10299,10299,10292,10292,10285,10285,10280,10280,10257,10257,10212,10212,10207,10207,10201,10201,10180,10180,10163,10163,10126,10126,10114,10114,10108,10108,10097,10097,10084,10084,10074,10074,10060,10060,10051,10051,10043,10043,10035,10035,10020,10020,10009,10009,10002,10002,9988,9988,9973,9973,9965,9965,9942,9942,9937,9937,9921,9921,9916,9916,9911,9911,9904,9904,9894,9894,9879,9879,9874,9874,9865,9865,9844,9844,9837,9837,9807,9807,9801,9801,9794,9794,9775,9775,9764,9764,9748,9748,9742,9742,9699,9699,9694,9694,9689,9689,9665,9665,9653,9653,9617,9617,9607,9607,9602,9602,9584,9584,9578,9578,9563,9563,9546,9546,9522,9522,9500,9500,9484,9484,9460,9460,9440,9440,9434,9434,9422,9422,9401,9401,9390,9390,9367,9367,9346,9346,9341,9341,9333,9333,9324,9324,9315,9315,9303,9303,9286,9286,9276,9276,9265,9265,9253,9253,9234,9234,9220,9220,9208,9208,9200,9200,9170,9170,9162,9162,9157,9157,9146,9146,9138,9138,9131,9131,9126,9126,9111,9111,9102,9102,9079,9079,9074,9074,9069,9069,9053,9053,9048,9048,9011,9011,8975,8975,8968,8968,8958,8958,8950,8950,8937,8937,8927,8927,8917,8917,8912,8912,8905,8905,8864,8864,8855,8855,8846,8846,8841,8841,8814,8814,8805,8805,8789,8789,8777,8777,8767,8767,8758,8758,8753,8753,8727,8727,8714,8714,8707,8707,8683,8683,8674,8674,8664,8664,8635,8635,8626,8626,8619,8619,8612,8612,8543,8543,8529,8529,8520,8520,8501,8501,8496,8496,8487,8487,8480,8480,8474,8474,8458,8458,8452,8452,8447,8447,8430,8430,8425,8425,8408,8408,8392,8392,8376,8376,8352,8352,8339,8339,8333,8333,8322,8322,8314,8314,8303,8303,8292,8292,8272,8272,8259,8259,8251,8251,8241,8241,8233,8233,8212,8212,8204,8204,8178,8178,8167,8167,8161,8161,8143,8143,8128,8128,8119,8119,8111,8111,8100,8100,8095,8095,8081,8081,8074,8074,8050,8050,8032,8032,8021,8021,8012,8012,8007,8007,7971,7971,7963,7963,7956,7956,7940,7940,7935,7935,7926,7926,7920,7920,7913,7913,7896,7896,7891,7891,7885,7885,7866,7866,7855,7855,7850,7850,7839,7839,7820,7820,7805,7805,7792,7792,7784,7784,7772,7772,7758,7758,7749,7749,7744,7744,7737,7737,7727,7727,7715,7715,7710,7710,7705,7705,7698,7698,7692,7692,7675,7675,7668,7668,7656,7656,7648,7648,7642,7642,7631,7631,7618,7618,7610,7610,7603,7603,7595,7595,7577,7577,7551,7551,7541,7541,7533,7533,7521,7521,7506,7506,7501,7501,7480,7480,7472,7472,7465,7465,7459,7459,7451,7451,7444,7444,7433,7433,7425,7425,7419,7419,7411,7411,7403,7403,7397,7397,7389,7389,7382,7382,7377,7377,7366,7366,7360,7360,7350,7350,7342,7342,7334,7334,7324,7324,7311,7311,7300,7300,7293,7293,7288,7288,7281,7281,7271,7271,7261,7261,7249,7249,7233,7233,7227,7227,7220,7220,7215,7215,7207,7207,7197,7197,7172,7172,7160,7160,7151,7151,7146,7146,7140,7140,7131,7131,7121,7121,7108,7108,7100,7100,7087,7087,7079,7079,7068,7068,7063,7063,7054,7054,7049,7049,7043,7043,7038,7038,7033,7033,7026,7026,7004,7004,6996,6996,6988,6988,6982,6982,6966,6966,6959,6959,6946,6946,6940,6940,6935,6935,6930,6930,6913,6913,6907,6907,6902,6902,6896,6896,6891,6891,6883,6883,6877,6877,6872,6872,6865,6865,6860,6860,6850,6850,6845,6845,6838,6838,6831,6831,6825,6825,6815,6815,6810,6810,6804,6804,6795,6795,6790,6790,6763,6763,6750,6750,6743,6743,6731,6731,6720,6720,6713,6713,6694,6694,6677,6677,6671,6671,6665,6665,6648,6648,6641,6641,6634,6634,6629,6629,6623,6623,6617,6617,6612,6612,6605,6605,6595,6595,6583,6583,6575,6575,6570,6570,6563,6563,6558,6558,6550,6550,6541,6541,6529,6529,6515,6515,6506,6506,6500,6500,6494,6494,6489,6489,6484,6484,6476,6476,6468,6468,6461,6461,6452,6452,6447,6447,6440,6440,6434,6434,6429,6429,6423,6423,6414,6414,6409,6409,6404,6404,6399,6399,6386,6386,6381,6381,6376,6376,6365,6365,6354,6354,6344,6344,6329,6329,6319,6319,6313,6313,6308,6308,6302,6302,6292,6292,6283,6283,6277,6277,6270,6270,6259,6259,6254,6254,6246,6246,6240,6240,6230,6230,6221,6221,6216,6216,6211,6211,6206,6206,6197,6197,6189,6189,6184,6184,6171,6171,6164,6164,6141,6141,6133,6133,6127,6127,6115,6115,6109,6109,6103,6103,6095,6095,6090,6090,6084,6084,6078,6078,6072,6072,6064,6064,6057,6057,6039,6039,6032,6032,6025,6025,6020,6020,6011,6011,6006,6006,6000,6000,5987,5987,5981,5981,5972,5972,5964,5964,5959,5959,5954,5954,5948,5948,5942,5942,5937,5937,5923,5923,5918,5918,5907,5907,5898,5898,5889,5889,5882,5882,5876,5876,5870,5870,5863,5863,5857,5857,5849,5849,5844,5844,5836,5836,5830,5830,5824,5824,5816,5816,5809,5809,5801,5801,5794,5794,5788,5788,5782,5782,5772,5772,5764,5764,5747,5747,5735,5735,5729,5729,5723,5723,5718,5718,5713,5713,5708,5708,5701,5701,5696,5696,5689,5689,5677,5677,5671,5671,5663,5663,5652,5652,5645,5645,5638,5638,5633,5633,5627,5627,5619,5619,5614,5614,5608,5608,5602,5602,5597,5597,5590,5590,5578,5578,5569,5569,5563,5563,5555,5555,5549,5549,5543,5543,5537,5537,5531,5531,5526,5526,5520,5520,5515,5515,5509,5509,5503,5503,5492,5492,5486,5486,5477,5477,5472,5472,5463,5463,5458,5458,5453,5453,5443,5443,5438,5438,5432,5432,5426,5426,5417,5417,5412,5412,5407,5407,5402,5402,5397,5397,5381,5381,5374,5374,5368,5368,5362,5362,5357,5357,5348,5348,5343,5343,5336,5336,5329,5329,5324,5324,5318,5318,5309,5309,5304,5304,5296,5296,5288,5288,5282,5282,5273,5273,5265,5265,5259,5259,5254,5254,5247,5247,5242,5242,5237,5237,5232,5232,5226,5226,5221,5221,5216,5216,5210,5210,5205,5205,5197,5197,5192,5192,5187,5187,5180,5180,5171,5171,5164,5164,5159,5159,5152,5152,5146,5146,5139,5139,5132,5132,5124,5124,5114,5114,5109,5109,5102,5102,5095,5095,5088,5088,5079,5079,5065,5065,5058,5058,5053,5053,5048,5048,5041,5041,5036,5036,5029,5029,5024,5024,5016,5016,5010,5010,5005,5005,5000,5000],[31803,31803,31803,27894,27894,26125,26125,21754,21754,18073,18073,16480,16480,15210,15210,14596,14596,14287,14287,14050,14050,13937,13937,13723,13723,13006,13006,12867,12867,12813,12813,11994,11994,11950,11950,11921,11921,11835,11835,11787,11787,11660,11660,11650,11650,11585,11585,11258,11258,11245,11245,11182,11182,10922,10922,10913,10913,10775,10775,10748,10748,10601,10601,10585,10585,10431,10431,10420,10420,10397,10397,10359,10359,10341,10341,10167,10167,9983,9983,9886,9886,9578,9578,9487,9487,9465,9465,9453,9453,9415,9415,9406,9406,9311,9311,9252,9252,9185,9185,8990,8990,8980,8980,8971,8971,8932,8932,8805,8805,8748,8748,8722,8722,8710,8710,8629,8629,8596,8596,8530,8530,8507,8507,8470,8470,8458,8458,8451,8451,8426,8426,8321,8321,8311,8311,8293,8293,8265,8265,8236,8236,8200,8200,8171,8171,8124,8124,8105,8105,8094,8094,8088,8088,8058,8058,8052,8052,8005,8005,7996,7996,7980,7980,7905,7905,7897,7897,7876,7876,7860,7860,7845,7845,7804,7804,7774,7774,7759,7759,7732,7732,7724,7724,7710,7710,7704,7704,7693,7693,7681,7681,7649,7649,7641,7641,7603,7603,7584,7584,7566,7566,7552,7552,7510,7510,7502,7502,7490,7490,7484,7484,7478,7478,7439,7439,7413,7413,7405,7405,7376,7376,7355,7355,7344,7344,7322,7322,7290,7290,7247,7247,7235,7235,7230,7230,7221,7221,7156,7156,7146,7146,7139,7139,7101,7101,7096,7096,7076,7076,7062,7062,7022,7022,7006,7006,7001,7001,6981,6981,6973,6973,6927,6927,6921,6921,6904,6904,6896,6896,6886,6886,6865,6865,6855,6855,6846,6846,6822,6822,6793,6793,6782,6782,6770,6770,6763,6763,6746,6746,6731,6731,6716,6716,6702,6702,6682,6682,6660,6660,6641,6641,6606,6606,6579,6579,6564,6564,6552,6552,6534,6534,6513,6513,6502,6502,6477,6477,6470,6470,6457,6457,6428,6428,6412,6412,6394,6394,6384,6384,6375,6375,6370,6370,6351,6351,6331,6331,6311,6311,6299,6299,6290,6290,6266,6266,6259,6259,6252,6252,6231,6231,6213,6213,6200,6200,6190,6190,6180,6180,6172,6172,6162,6162,6143,6143,6131,6131,6119,6119,6101,6101,6095,6095,6085,6085,6080,6080,6062,6062,6057,6057,6036,6036,6013,6013,5997,5997,5971,5971,5945,5945,5938,5938,5929,5929,5923,5923,5916,5916,5905,5905,5846,5846,5832,5832,5814,5814,5801,5801,5769,5769,5764,5764,5745,5745,5738,5738,5728,5728,5717,5717,5708,5708,5697,5697,5688,5688,5683,5683,5674,5674,5661,5661,5649,5649,5634,5634,5620,5620,5598,5598,5588,5588,5572,5572,5540,5540,5535,5535,5513,5513,5490,5490,5476,5476,5438,5438,5433,5433,5416,5416,5408,5408,5388,5388,5378,5378,5372,5372,5362,5362,5352,5352,5330,5330,5312,5312,5306,5306,5299,5299,5294,5294,5277,5277,5269,5269,5264,5264,5249,5249,5244,5244,5239,5239,5226,5226,5221,5221,5207,5207,5202,5202,5190,5190,5185,5185,5173,5173,5149,5149,5139,5139,5129,5129,5122,5122,5102,5102,5091,5091,5086,5086,5069,5069,5061,5061,5035,5035,5010,5010,5003,5003],[297675,297675,297675,161653,161653,125820,125820,115787,115787,110380,110380,109341,109341,105645,105645,105300,105300,95423,95423,95370,95370,93047,93047,92900,92900,87173,87173,86025,86025,85990,85990,85621,85621,85525,85525,84756,84756,82525,82525,81161,81161,79613,79613,77455,77455,77182,77182,75416,75416,75096,75096,73669,73669,68398,68398,67829,67829,66390,66390,65687,65687,65215,65215,64845,64845,64019,64019,63757,63757,60720,60720,59383,59383,57452,57452,56707,56707,56282,56282,55396,55396,54643,54643,54149,54149,53980,53980,53504,53504,52623,52623,52334,52334,51141,51141,50862,50862,50857,50857,50486,50486,48919,48919,48149,48149,47031,47031,46870,46870,46205,46205,46036,46036,45348,45348,45057,45057,44575,44575,44464,44464,44227,44227,43498,43498,43482,43482,43121,43121,41609,41609,41351,41351,40567,40567,40301,40301,40215,40215,39589,39589,38985,38985,38376,38376,38306,38306,37761,37761,37706,37706,36687,36687,35725,35725,35696,35696,35647,35647,34785,34785,34589,34589,33474,33474,33209,33209,32913,32913,32690,32690,32628,32628,32574,32574,32425,32425,31939,31939,31874,31874,31452,31452,31249,31249,31215,31215,31142,31142,31090,31090,30956,30956,30340,30340,30100,30100,29414,29414,29316,29316,29076,29076,29019,29019,28924,28924,28754,28754,28252,28252,28181,28181,28010,28010,27984,27984,27867,27867,27202,27202,27073,27073,27058,27058,27002,27002,26709,26709,26216,26216,26180,26180,26072,26072,26044,26044,25449,25449,25021,25021,24932,24932,24677,24677,24525,24525,24333,24333,23581,23581,23211,23211,23043,23043,22812,22812,22128,22128,21765,21765,21395,21395,20918,20918,20365,20365,20337,20337,20322,20322,20228,20228,19990,19990,19699,19699,19570,19570,19535,19535,19516,19516,19116,19116,19085,19085,18937,18937,18614,18614,18326,18326,18092,18092,17860,17860,17705,17705,17296,17296,17110,17110,16777,16777,16616,16616,16577,16577,16490,16490,16441,16441,16354,16354,16251,16251,16202,16202,15910,15910,15904,15904,15674,15674,15647,15647,15588,15588,15323,15323,15172,15172,15088,15088,14987,14987,14820,14820,14592,14592,13996,13996,13877,13877,13840,13840,13720,13720,13557,13557,13441,13441,13166,13166,12838,12838,12797,12797,12760,12760,12601,12601,12552,12552,12523,12523,12476,12476,12371,12371,11910,11910,11648,11648,11620,11620,11614,11614,11515,11515,11488,11488,11390,11390,11224,11224,11050,11050,10766,10766,10681,10681,10676,10676,10647,10647,10488,10488,10483,10483,10288,10288,10186,10186,10041,10041,9969,9969,9882,9882,9770,9770,9659,9659,9620,9620,9601,9601,9582,9582,9437,9437,9368,9368,9358,9358,9334,9334,9320,9320,9280,9280,9275,9275,9250,9250,9131,9131,8919,8919,8622,8622,8599,8599,8343,8343,8319,8319,8241,8241,8225,8225,8218,8218,8213,8213,8132,8132,8102,8102,8054,8054,8030,8030,8006,8006,8001,8001,7984,7984,7968,7968,7947,7947,7935,7935,7887,7887,7862,7862,7823,7823,7721,7721,7698,7698,7605,7605,7596,7596,7586,7586,7568,7568,7546,7546,7506,7506,7488,7488,7367,7367,7361,7361,7303,7303,7259,7259,7206,7206,7190,7190,7144,7144,7030,7030,7005,7005,6969,6969,6953,6953,6944,6944,6931,6931,6895,6895,6884,6884,6851,6851,6760,6760,6701,6701,6670,6670,6650,6650,6643,6643,6625,6625,6594,6594,6574,6574,6532,6532,6524,6524,6498,6498,6490,6490,6476,6476,6471,6471,6452,6452,6411,6411,6354,6354,6347,6347,6309,6309,6277,6277,6268,6268,6248,6248,6235,6235,6215,6215,6206,6206,6185,6185,6161,6161,6153,6153,6139,6139,6131,6131,6118,6118,6078,6078,6038,6038,5976,5976,5935,5935,5917,5917,5900,5900,5883,5883,5857,5857,5844,5844,5830,5830,5791,5791,5780,5780,5749,5749,5731,5731,5719,5719,5714,5714,5686,5686,5668,5668,5662,5662,5653,5653,5635,5635,5621,5621,5594,5594,5566,5566,5555,5555,5525,5525,5518,5518,5502,5502,5496,5496,5475,5475,5452,5452,5406,5406,5401,5401,5394,5394,5371,5371,5361,5361,5330,5330,5319,5319,5303,5303,5293,5293,5260,5260,5254,5254,5234,5234,5229,5229,5218,5218,5208,5208,5203,5203,5194,5194,5186,5186,5140,5140,5134,5134,5115,5115,5110,5110,5104,5104,5089,5089,5083,5083,5075,5075,5069,5069,5048,5048,5041,5041,5036,5036,5020,5020],[27240,27240,27240,19688,19688,16118,16118,12155,12155,11563,11563,10280,10280,10060,10060,9853,9853,9830,9830,9819,9819,9656,9656,9537,9537,9531,9531,9488,9488,9459,9459,9383,9383,8997,8997,8960,8960,8937,8937,8732,8732,8695,8695,8585,8585,8555,8555,8506,8506,8487,8487,8448,8448,8347,8347,8310,8310,8233,8233,8007,8007,7968,7968,7957,7957,7945,7945,7866,7866,7808,7808,7801,7801,7777,7777,7680,7680,7668,7668,7644,7644,7588,7588,7554,7554,7547,7547,7535,7535,7491,7491,7480,7480,7471,7471,7405,7405,7390,7390,7262,7262,7181,7181,7144,7144,7134,7134,7124,7124,7096,7096,7090,7090,7053,7053,7046,7046,6993,6993,6981,6981,6957,6957,6951,6951,6870,6870,6835,6835,6764,6764,6749,6749,6744,6744,6631,6631,6599,6599,6590,6590,6585,6585,6553,6553,6524,6524,6494,6494,6485,6485,6479,6479,6461,6461,6437,6437,6416,6416,6400,6400,6376,6376,6362,6362,6330,6330,6325,6325,6317,6317,6305,6305,6288,6288,6281,6281,6271,6271,6254,6254,6241,6241,6234,6234,6177,6177,6169,6169,6164,6164,6157,6157,6123,6123,6080,6080,6067,6067,6053,6053,6035,6035,6030,6030,6022,6022,5984,5984,5958,5958,5953,5953,5938,5938,5930,5930,5868,5868,5850,5850,5832,5832,5820,5820,5811,5811,5741,5741,5722,5722,5685,5685,5664,5664,5647,5647,5638,5638,5626,5626,5615,5615,5593,5593,5579,5579,5560,5560,5552,5552,5539,5539,5525,5525,5514,5514,5509,5509,5503,5503,5496,5496,5476,5476,5432,5432,5413,5413,5408,5408,5388,5388,5371,5371,5365,5365,5318,5318,5313,5313,5308,5308,5301,5301,5295,5295,5279,5279,5257,5257,5233,5233,5228,5228,5222,5222,5216,5216,5208,5208,5199,5199,5188,5188,5167,5167,5153,5153,5140,5140,5134,5134,5127,5127,5097,5097,5087,5087,5079,5079,5039,5039,5031,5031,5026,5026,5020,5020,5008,5008,5002,5002],[47168,47168,47168,30242,30242,28556,28556,20718,20718,19317,19317,15237,15237,15154,15154,14464,14464,14206,14206,13613,13613,13055,13055,12279,12279,12077,12077,9779,9779,9449,9449,9265,9265,8464,8464,8211,8211,8080,8080,8071,8071,7849,7849,7732,7732,7463,7463,7133,7133,7000,7000,6991,6991,6442,6442,6162,6162,6022,6022,5719,5719,5700,5700,5672,5672,5478,5478,5452,5452,5446,5446,5430,5430,5415,5415,5307,5307,5280,5280,5202,5202,5129,5129,5112,5112,5074,5074,5042,5042],[57579,57579,57579,45608,45608,13932,13932,9093,9093,8265,8265,6619,6619,6119,6119,5761,5761,5581,5581,5575,5575,5487,5487,5278,5278,5240,5240],[131272,131272,131272,105636,105636,103383,103383,100726,100726,98470,98470,98458,98458,94255,94255,90428,90428,82611,82611,80467,80467,79347,79347,76790,76790,75543,75543,74798,74798,71543,71543,71254,71254,68862,68862,67992,67992,66430,66430,64718,64718,64663,64663,64329,64329,62468,62468,61734,61734,61540,61540,59457,59457,58909,58909,57334,57334,55510,55510,54919,54919,54570,54570,54493,54493,53793,53793,53114,53114,51792,51792,51386,51386,51375,51375,51009,51009,50933,50933,50794,50794,50147,50147,49574,49574,49182,49182,48688,48688,48377,48377,47588,47588,47206,47206,46784,46784,46555,46555,45749,45749,45517,45517,45479,45479,44560,44560,44339,44339,44275,44275,44186,44186,44109,44109,43450,43450,42976,42976,42563,42563,42352,42352,41765,41765,41725,41725,41255,41255,41100,41100,41034,41034,40968,40968,40935,40935,40732,40732,39996,39996,39584,39584,39413,39413,39185,39185,38995,38995,38773,38773,38650,38650,38438,38438,38212,38212,38191,38191,37129,37129,37032,37032,36887,36887,36173,36173,35953,35953,35860,35860,35737,35737,35508,35508,35391,35391,35331,35331,34640,34640,34477,34477,34463,34463,34363,34363,33594,33594,33193,33193,33045,33045,33026,33026,32999,32999,32933,32933,32908,32908,32725,32725,32504,32504,32484,32484,32353,32353,32206,32206,31987,31987,31674,31674,31165,31165,31085,31085,30880,30880,30252,30252,30163,30163,29840,29840,29782,29782,29498,29498,29470,29470,29396,29396,29372,29372,29344,29344,29005,29005,28951,28951,28743,28743,28096,28096,28087,28087,28082,28082,27929,27929,27915,27915,27860,27860,27723,27723,27664,27664,27597,27597,27447,27447,27437,27437,27249,27249,27191,27191,26962,26962,26945,26945,26864,26864,26525,26525,26177,26177,26116,26116,26044,26044,26003,26003,25992,25992,25971,25971,25875,25875,25597,25597,25545,25545,25488,25488,24620,24620,24332,24332,24198,24198,24091,24091,23942,23942,23704,23704,23648,23648,23518,23518,23388,23388,23020,23020,22715,22715,22697,22697,22673,22673,22545,22545,21760,21760,21687,21687,21505,21505,21374,21374,21228,21228,20910,20910,20796,20796,20617,20617,20589,20589,20552,20552,20514,20514,20343,20343,20079,20079,19924,19924,19844,19844,19797,19797,19562,19562,19423,19423,19408,19408,19237,19237,19187,19187,19067,19067,18987,18987,18929,18929,18573,18573,18555,18555,18394,18394,18354,18354,18151,18151,18144,18144,17708,17708,17512,17512,17248,17248,17135,17135,16861,16861,16724,16724,16664,16664,16495,16495,16330,16330,16288,16288,16255,16255,16085,16085,15922,15922,15884,15884,15750,15750,15721,15721,15698,15698,15684,15684,15516,15516,15395,15395,15335,15335,15287,15287,15208,15208,15196,15196,15109,15109,15099,15099,15064,15064,15046,15046,15036,15036,15009,15009,14879,14879,14760,14760,14731,14731,14473,14473,14459,14459,14418,14418,14326,14326,14282,14282,14276,14276,14019,14019,13995,13995,13908,13908,13625,13625,13468,13468,13265,13265,13148,13148,13021,13021,12973,12973,12964,12964,12903,12903,12559,12559,12437,12437,12402,12402,12349,12349,12302,12302,12295,12295,12213,12213,12203,12203,12144,12144,12113,12113,12061,12061,11992,11992,11927,11927,11792,11792,11750,11750,11679,11679,11655,11655,11644,11644,11485,11485,11149,11149,11099,11099,10940,10940,10860,10860,10841,10841,10822,10822,10692,10692,10681,10681,10580,10580,10493,10493,10307,10307,10284,10284,10259,10259,10176,10176,10132,10132,10110,10110,9878,9878,9825,9825,9639,9639,9615,9615,9596,9596,9474,9474,9355,9355,9325,9325,9134,9134,9117,9117,9101,9101,9074,9074,9048,9048,8955,8955,8920,8920,8881,8881,8803,8803,8786,8786,8773,8773,8761,8761,8752,8752,8639,8639,8503,8503,8479,8479,8408,8408,8329,8329,8302,8302,8297,8297,8228,8228,8175,8175,8124,8124,8039,8039,7971,7971,7817,7817,7724,7724,7701,7701,7373,7373,7360,7360,7271,7271,7225,7225,7201,7201,7189,7189,7152,7152,7135,7135,7114,7114,7014,7014,6991,6991,6835,6835,6762,6762,6754,6754,6744,6744,6711,6711,6697,6697,6543,6543,6533,6533,6505,6505,6477,6477,6451,6451,6401,6401,6369,6369,6307,6307,6296,6296,6224,6224,6184,6184,6148,6148,6133,6133,6120,6120,6110,6110,6104,6104,6096,6096,6082,6082,6037,6037,5991,5991,5966,5966,5925,5925,5899,5899,5858,5858,5785,5785,5759,5759,5746,5746,5705,5705,5651,5651,5620,5620,5609,5609,5598,5598,5575,5575,5540,5540,5532,5532,5465,5465,5451,5451,5417,5417,5368,5368,5362,5362,5352,5352,5293,5293,5224,5224,5181,5181,5168,5168,5145,5145,5124,5124,5047,5047]],"coord_x":[[0.0,1e-10,1.3669147830468971,1.3669147831468971,2.3852620082654856,2.3852620083654856,3.3283891441160427,3.3283891442160427,4.2259731552853461,4.2259731553853461,5.0445960347020868,5.0445960348020868,5.8543912370296356,5.8543912371296356,6.6242179114307476,6.6242179115307476,7.3793317906832074,7.3793317907832074,8.0787144891163027,8.0787144892163028,8.7398291334341103,8.7398291335341103,9.3809373336955097,9.3809373337955098,10.019487429875786,10.019487429975786,10.649446436627555,10.649446436727555,11.265742505974947,11.265742506074947,11.864738102634981,11.864738102734981,12.45336820241139,12.45336820251139,13.040800577155599,13.040800577255599,13.616359208679336,13.616359208779336,14.191415091424126,14.191415091524126,14.761384339464255,14.761384339564255,15.320884583519215,15.320884583619215,15.880296107201417,15.880296107301417,16.439308389206222,16.43930838930622,16.988724084224614,16.988724084324613,17.531707552218222,17.53170755231822,18.062728556618605,18.062728556718604,18.593572120273478,18.593572120373477,19.117465921395819,19.117465921495818,19.63835801657326,19.638358016673259,20.156588500568031,20.156588500668029,20.661924957055643,20.661924957155641,21.166817811679476,21.166817811779474,21.669965832305778,21.669965832405776,22.169224943259625,22.169224943359623,22.656743391552133,22.656743391652132,23.133985063333778,23.133985063433776,23.605696498546983,23.605696498646981,24.075441298830768,24.075441298930766,24.544476336132512,24.54447633623251,25.000676492842263,25.000676492942262,25.4458901100591,25.445890110159098,25.889832068599777,25.889832068699775,26.308429573989908,26.308429574089907,26.721526416269189,26.721526416369187,27.13451975144692,27.134519751546918,27.5454133711361,27.545413371236098,27.955390213640136,27.955390213740134,28.363193407011661,28.363193407111659,28.762183710022786,28.762183710122784,29.559957301841937,29.559957301941935,29.957823813464824,29.957823813564822,30.354817908088947,30.354817908188945,30.744448211774348,30.744448211874346,31.129657283550756,31.129657283650754,31.898655901139481,31.898655901239479,32.279635968481202,32.279635968581204,32.658767694723842,32.658767694823844,33.035696198376385,33.035696198476387,33.410998161861741,33.410998161961743,33.782810457352042,33.782810457452044,34.154371378452865,34.154371378552867,34.521540641102284,34.521540641202286,34.886610188263155,34.886610188363157,35.251324853932999,35.251324854033001,35.615329756620795,35.615329756720797,35.979112858376702,35.979112858476704,36.337410083750555,36.337410083850557,36.693918114940494,36.693918115040496,37.050012117724243,37.050012117824245,37.404893608747003,37.404893608847004,37.757305716061389,37.75730571616139,38.104897349789383,38.104897349889384,38.450034386537808,38.45003438663781,38.794136352270748,38.794136352370749,39.130608365946699,39.130608366046701,39.465468626184247,39.465468626284249,39.800077512032331,39.800077512132333,40.13280848332375,40.132808483423752,40.46545073424241,40.465450734342411,40.795712321825462,40.795712321925464,41.123977701021509,41.123977701121511,41.449625829221269,41.44962582932127,41.772937654271793,41.772937654371795,42.095805877458531,42.095805877558533,42.412463674552377,42.412463674652379,42.724744599923611,42.724744600023612,43.036774150905366,43.036774151005368,43.34767991049889,43.347679910598892,43.658142068228628,43.65814206832863,43.967953609891495,43.967953609991497,44.275147900558068,44.275147900658069,44.580538210311943,44.580538210411945,44.883917524950014,44.883917525050016,45.186838450995523,45.186838451095525,45.488295490890565,45.488295490990566,45.789442009480958,45.789442009580959,46.088888054260195,46.088888054360197,46.388186231751511,46.388186231851513,46.681895025759218,46.68189502585922,46.971271308230691,46.971271308330692,47.260351856126313,47.260351856226315,47.542172120184759,47.542172120284761,47.822543284821528,47.82254328492153,48.101968098815568,48.10196809891557,48.380904950759451,48.380904950859453,48.657535073011694,48.657535073111696,48.932834389672593,48.932834389772594,49.20794147885919,49.207941478959192,49.4816290420817,49.481629042181702,49.751960017868285,49.751960017968287,50.020353932183035,50.020353932283037,50.286515050450099,50.286515050550101,50.549393514925207,50.549393515025209,50.809462500929719,50.809462501029721,51.069265325815955,51.069265325915957,51.328314027533779,51.32831402763378,51.587214861963666,51.587214862063668,51.845938255648051,51.845938255748052,52.357248550567874,52.357248550667876,52.608667300228703,52.608667300328705,52.859213632890771,52.859213632990773,53.107053994183786,53.107053994283788,53.354672554544912,53.354672554644914,53.601862299771057,53.601862299871058,53.848874604251691,53.848874604351693,54.09505885191993,54.095058852019932,54.339025090269281,54.339025090369283,54.581764030128845,54.581764030228847,54.821604771145061,54.821604771245063,55.059892905638044,55.059892905738046,55.296658007065396,55.296658007165398,55.53277249242587,55.532772492525872,55.768517309566526,55.768517309666528,56.004010752317711,56.004010752417713,56.233678223924599,56.233678224024601,56.462665506007035,56.462665506107037,56.91978243990193,56.919782440001931,57.146625646309431,57.146625646409433,57.372640795904552,57.372640796004553,57.597798315229696,57.597798315329698,57.82208341755608,57.822083417656081,58.046028425120227,58.046028425220229,58.269751631752492,58.269751631852493,58.491153321964312,58.491153322064314,58.710647524161885,58.710647524261887,58.927524475363164,58.927524475463166,59.14423877254773,59.144238772647732,59.359237809192351,59.359237809292352,59.572684239313745,59.572684239413746,59.7854061197243,59.785406119824302,59.995052360545991,59.995052360645992,60.202968554098945,60.202968554198947,60.410810814007938,60.41081081410794,60.616834306275443,60.616834306375445,60.822000168272972,60.822000168372973,61.025820437950379,61.025820438050381,61.228797864086602,61.228797864186603,61.430902873224056,61.430902873324058,61.628157835317538,61.628157835417539,61.82380104397263,61.823801044072631,62.018586622357738,62.01858662245774,62.213002532523042,62.213002532623044,62.405348300657373,62.405348300757375,62.596496343759505,62.596496343859506,62.786180500711168,62.78618050081117,62.974962667206484,62.974962667306485,63.162369667924082,63.162369668024084,63.349466147337033,63.349466147437035,63.533856655380944,63.533856655480946,63.717419106612461,63.717419106712462,63.899857766455746,63.899857766555748,64.082059838638344,64.082059838738346,64.26393660278751,64.263936602887512,64.44566549964874,64.445665499748742,64.626211458206569,64.626211458306571,64.80610680069752,64.806106800797522,64.985114939460914,64.985114939560916,65.162807059361768,65.16280705946177,65.337024297996351,65.337024298096352,65.51019167888667,65.510191678986672,65.855787104227659,65.855787104327661,66.025671831326008,66.02567183142601,66.193885658070798,66.1938856581708,66.360724319037871,66.360724319137873,66.527237671971506,66.527237672071507,66.690571878214726,66.690571878314728,66.853447695865384,66.853447695965386,67.015998205482589,67.015998205582591,67.177927672490512,67.177927672590513,67.338481973720732,67.338481973820734,67.498903194391801,67.498903194491803,67.658880813199104,67.658880813299106,67.81773464061817,67.817734640718172,67.975952638699141,67.975952638799143,68.132085708020369,68.132085708120371,68.288011763138485,68.288011763238487,68.443375922562495,68.443375922662497,68.598370413766688,68.598370413866689,68.752270687040209,68.752270687140211,68.906037879754621,68.906037879854622,69.213291317336356,69.213291317436358,69.366733202017329,69.366733202117331,69.51976105829209,69.519761058392092,69.67148768243311,69.671487682533112,69.974482542122587,69.974482542222589,70.12412423750385,70.124124237603851,70.273174463733397,70.273174463833399,70.420686870168524,70.420686870268526,70.567873968570211,70.567873968670213,70.714987133327938,70.71498713342794,70.861848923696186,70.861848923796188,71.008562846776513,71.008562846876515,71.155143689297702,71.155143689397704,71.300645100617032,71.300645100717034,71.445170587836046,71.445170587936047,71.589444700665595,71.589444700765597,71.732595022106892,71.732595022206894,71.875375675328385,71.875375675428387,72.017209977907143,72.017209978007145,72.158896413197979,72.158896413297981,72.299961805879533,72.299961805979535,72.440864544544354,72.440864544644356,72.581530695548494,72.581530695648496,72.721975045620752,72.721975045720754,72.86230110186267,72.862301101962672,73.142864493973747,73.142864494073748,73.282850455453428,73.282850455553429,73.422156227408649,73.422156227508651,73.561003610771309,73.56100361087131,73.699777060489993,73.699777060589994,73.838210415446454,73.838210415546456,73.976466329657399,73.9764663297574,74.114618736766801,74.114618736866802,74.252549342944306,74.252549343044308,74.389991987071667,74.389991987171669,74.527242403724713,74.527242403824715,74.664271019445877,74.664271019545879,74.800560298727405,74.800560298827406,74.936657350534631,74.936657350634633,75.072532601409975,75.072532601509977,75.206943966134844,75.206943966234846,75.341015236097476,75.341015236197478,75.473770487197569,75.473770487297571,75.605742041671661,75.605742041771663,75.736693311859057,75.736693311959058,75.998447984945926,75.998447985045928,76.128792999252823,76.128792999352825,76.389349947307494,76.389349947407496,76.518600743683734,76.518600743783736,76.776510867284529,76.77651086738453,76.904830099746832,76.904830099846833,77.03270573034537,77.032705730445372,77.159501929742035,77.159501929842037,77.285558792699078,77.28555879279908,77.535912897886845,77.535912897986847,77.658849761068637,77.658849761168639,77.780662832862205,77.780662832962207,77.9021949568087,77.902194956908701,78.02347570636573,78.023475706465732,78.144372000974144,78.144372001074146,78.385602694496868,78.385602694596869,78.50583358630962,78.505833586409622,78.625073767293259,78.62507376739326,78.743840772955551,78.743840773055553,78.862016309466128,78.86201630956613,78.979866537943266,78.979866538043268,79.097051363624729,79.097051363724731,79.214058748560703,79.214058748660705,79.330652105090465,79.330652105190467,79.447097594332305,79.447097594432307,79.563350856099845,79.563350856199847,79.795443351228727,79.795443351328728,79.911105143844551,79.911105143944553,80.257883507488955,80.257883507588957,80.488541689924958,80.48854169002496,80.60310926461014,80.603109264710142,80.717159303787582,80.717159303887584,80.830898821660369,80.830898821760371,81.058170843202859,81.058170843302861,81.171614626499803,81.171614626599805,81.284895755780028,81.284895755880029,81.397393188434236,81.397393188534238,81.509077351004848,81.50907735110485,81.619563788543275,81.619563788643276,81.840270502501838,81.84027050260184,81.950195044346145,81.950195044446147,82.05974991797062,82.059749918070622,82.169230857951149,82.169230858051151,82.278430850084604,82.278430850184606,82.387349894370999,82.387349894471001,82.495766189878452,82.495766189978454,82.604093765013147,82.604093765113149,82.712347406503881,82.712347406603882,82.820349673605136,82.820349673705138,83.036102833418184,83.036102833518186,83.143277043707059,83.143277043807061,83.250273813250416,83.250273813350418,83.463735030100608,83.46373503020061,83.676486483968745,83.676486484068747,83.782329888666283,83.782329888766284,83.8874191701954,83.887419170295402,83.992064849860725,83.992064849960727,84.200838673683663,84.200838673783664,84.40863657340627,84.408636573506271,84.511892300565108,84.51189230066511,84.615059307351174,84.615059307451176,84.718019299934156,84.718019300034157,84.923732270897005,84.923732270997007,85.02587899339639,85.025878993496391,85.127936995523015,85.127936995623017,85.22992106400568,85.229921064105682,85.331668544827664,85.331668544927666,85.433253371632929,85.433253371732931,85.533359525558936,85.533359525658938,85.632755916502887,85.632755916602889,85.831193816899784,85.831193816999786,86.028641006467566,86.028641006567568,86.22472781698643,86.224727817086432,86.322320227017684,86.322320227117686,86.419720409574637,86.419720409674639,86.51688400447091,86.516884004570912,86.710678872026918,86.71067887212692,86.807117917212352,86.807117917312354,86.902980279974884,86.902980280074885,87.094527564754415,87.094527564854417,87.285897408788429,87.285897408888431,87.381404890059926,87.381404890159928,87.572094544569495,87.572094544669497,87.667099277062036,87.667099277162038,87.761837848436329,87.761837848536331,87.951181910625763,87.951181910725765,88.140185878052961,88.140185878152963,88.234022458970898,88.2340224590709,88.327770319516077,88.327770319616079,88.421237232214196,88.421237232314198,88.51463021126834,88.514630211368342,88.701297875546317,88.701297875646318,88.794173319092721,88.794173319192723,88.886812174978459,88.886812175078461,88.979332737033843,88.979332737133845,89.071690645072522,89.071690645172524,89.163131775926047,89.163131776026049,89.345836596887594,89.345836596987596,89.436996779894073,89.436996779994075,89.618962264415984,89.618962264515986,89.800513720531711,89.800513720631713,90.072190288638424,90.072190288738426,90.252751033925037,90.252751034025039,90.342846572458441,90.342846572558443,90.432779456975126,90.432779457075128,90.522623621119052,90.522623621219054,90.701971854644682,90.701971854744684,90.79137241692483,90.791372417024832,90.880654685374637,90.880654685474639,91.059041781528748,91.05904178162875,91.148028315402698,91.1480283155027,91.236822621802347,91.236822621902348,91.325498634371655,91.325498634471657,91.41404156638184,91.414041566481842,91.502377484188926,91.502377484288928,91.590535961250495,91.590535961350497,91.766690261356914,91.766690261456915,91.941883424091813,91.941883424191815,92.028992043409104,92.028992043509106,92.115982368896056,92.115982368996058,92.202573452705607,92.202573452805609,92.375622539765587,92.375622539865589,92.461947462456862,92.461947462556864,92.548139304589014,92.548139304689016,92.806389522952031,92.806389523052033,92.978048657505497,92.978048657605498,93.149175469822424,93.149175469922426,93.405237252324142,93.405237252424143,93.490127862322538,93.49012786242254,93.57492975194819,93.574929752048192,93.659613347743488,93.659613347843489,93.744208223166041,93.744208223266043,93.828729164944633,93.828729165044635,93.91305787924891,93.913057879348912,93.997253512994064,93.997253513094066,94.081316066180079,94.081316066280081,94.249175011433834,94.249175011533836,94.332912256586411,94.332912256686413,94.416545994637445,94.416545994737447,94.667151474214677,94.667151474314679,94.750119809470036,94.750119809570037,94.832969850895068,94.83296985099507,94.915701598489747,94.915701598589749,95.080928506018424,95.080928506118426,95.163039211003806,95.163039211103808,95.244972475243685,95.244972475343687,95.326683938551682,95.326683938651684,95.571655674458924,95.571655674558926,95.653204483750201,95.653204483850203,95.734634999211124,95.734634999311126,95.978763891577202,95.978763891677204,96.059854312275903,96.059854312375904,96.221887286385368,96.221887286485369,96.302741119423388,96.30274111952339,96.545125177791931,96.545125177891933,96.625624129338931,96.625624129438933,96.705901279954034,96.705901280054036,96.786089710196379,96.78608971029638,96.866056339506841,96.866056339606843,96.945875101529381,96.945875101629383,97.025560782992784,97.025560783092786,97.104965516609113,97.104965516709115,97.184089302378396,97.184089302478398,97.263109581046137,97.263109581146139,97.341952418968361,97.341952419068363,97.499519800982455,97.499519801082457,97.578022544142456,97.578022544242458,97.656406993472103,97.656406993572105,97.734451348039528,97.73445134813953,97.812052100743159,97.812052100843161,97.889490199430085,97.889490199530087,98.043996728584119,98.043996728684121,98.121020798864848,98.12102079896485,98.197941362044034,98.197941362144036,98.274492257003402,98.274492257103404,98.350939644861214,98.350939644961215,98.42722437870232,98.427224378802322,98.579527685266257,98.579527685366259,98.807258095401309,98.807258095501311,98.882921786633119,98.882921786733121,99.033495045928319,99.033495046028321,99.108286320161369,99.108286320261371,99.257691427881952,99.257691427981953,99.406712080653918,99.40671208075392,99.555407425392445,99.555407425492447,99.703836609012711,99.703836609112713,99.777903333534923,99.777903333634924,100.0],[0.0,1e-10,2.8189306489934629,2.8189306490934629,5.3219164083831565,5.3219164084831565,7.5388842031775356,7.5388842032775356,9.7433482827286557,9.7433482828286557,11.938154237005088,11.938154237105088,13.983180875223894,13.983180875323894,16.006600321816933,16.006600321916931,17.852483892574156,17.852483892674154,19.658601549279048,19.658601549379046,21.376976162758101,21.376976162858099,23.068787917335612,23.068787917435611,24.75184586548438,24.751845865584379,26.365162744233913,26.365162744333912,27.971606799754266,27.971606799854264,29.570912765183966,29.570912765283964,31.062158657315607,31.062158657415605,32.435939560151368,32.43593956025137,33.789994254560931,33.789994254660932,35.066783946773,35.066783946873002,36.274158124370366,36.274158124470368,37.41574612032143,37.415746120421431,38.527961840156216,38.527961840256218,39.563358688424174,39.563358688524175,40.59817677263073,40.598176772730731,41.620370565747898,41.6203705658479,42.638730046958266,42.638730047058267,43.655027681199876,43.655027681299877,44.655578109937437,44.655578110037439,45.655477429105922,45.655477429205924,46.648660673645196,46.648660673745198,47.638431621739102,47.638431621839104,48.599276424347401,48.599276424447403,49.53855020808377,49.538550208183771,50.477305515681792,50.477305515781794,51.403846490067266,51.403846490167268,52.313422442902812,52.313422443002814,53.220538648477401,53.220538648577403,54.123048856729973,54.123048856829975,55.016564106861551,55.016564106961553,55.866310324849415,55.866310324949417,56.688975207797398,56.6889752078974,57.501113819378588,57.50111381947859,58.291379972472534,58.291379972572535,59.03997511314536,59.039975113245362,59.775608350359647,59.775608350459649,60.506792338851888,60.50679233895189,61.224122162624262,61.224122162724264,61.93618282192093,61.936182822020932,62.646410728356486,62.646410728456488,63.349355853686035,63.349355853786037,64.033913162481383,64.033913162581385,64.714443238016116,64.714443238116118,65.378490595385443,65.378490595485445,66.041705979416491,66.041705979516493,66.704439060063052,66.704439060163054,67.360371662988101,67.360371663088102,67.991718850888077,67.991718850988079,68.600253088701024,68.600253088801026,69.20242092183851,69.202420921938511,69.793604295393948,69.79360429549395,70.378385091520087,70.378385091620089,70.962611238754036,70.962611238854038,71.540567441989452,71.540567442089454,72.109986875319152,72.109986875419153,72.672027066865937,72.672027066965939,73.22677241972211,73.226772419822112,73.779636789378714,73.779636789478715,74.32806396789789,74.328063967997892,74.873078849971691,74.873078850071693,75.416043942661361,75.416043942761362,75.952365306229495,75.952365306329497,76.475109829523845,76.475109829623847,76.994056213665218,76.994056213765219,77.511410996637736,77.511410996737737,78.026764220564573,78.026764220664575,78.54089962844553,78.540899628545532,79.029147402163247,79.029147402263249,79.515839747465947,79.515839747565948,80.002230653153333,80.002230653253335,80.467014367214944,80.467014367314945,80.925721058631808,80.92572105873181,81.379074182480693,81.379074182580695,81.82929233433029,81.829292334430292,82.276520205195979,82.276520205295981,82.71394525977162,82.713945259871622,83.141205770518837,83.141205770618839,83.553237551900366,83.553237552000368,83.957178694006842,83.957178694106844,84.351304962238657,84.351304962338659,84.736062487226491,84.736062487326492,85.110932792832003,85.110932792932005,85.84868816493811,85.848688165038112,86.205954397009236,86.205954397109238,86.556986857835653,86.556986857935655,86.906729157108515,86.906729157208517,87.254361379074183,87.254361379174185,87.599907638901868,87.59990763900187,87.924606334934381,87.924606335034383,88.248509230382467,88.248509230482469,88.571423403892311,88.571423403992313,88.889900386264728,88.889900386364729,89.190797410271983,89.190797410371985,89.486943745941872,89.486943746041874,89.77627754630565,89.776277546405652,90.062789871870081,90.062789871970082,90.347614135588742,90.347614135688744,90.631727001815264,90.631727001915266,90.91467028233437,90.914670282434372,91.191741519147143,91.191741519247145,91.464387622407088,91.46438762250709,91.720321913393988,91.72032191349399,91.974459624273607,91.974459624373608,92.223291997923681,92.223291998023683,92.462671225237486,92.462671225337488,92.699855972151809,92.699855972251811,92.935979651620201,92.935979651720203,93.16685828178214,93.166858281882142,93.397423414744139,93.397423414844141,93.623225801784159,93.623225801884161,93.845676180301879,93.845676180401881,94.067475449250537,94.067475449350539,94.286935546784335,94.286935546884337,94.72571105083658,94.725711050936582,94.943446913770785,94.943446913870787,95.157734307505791,95.157734307605793,95.366547557826664,95.366547557926665,95.573600400794106,95.573600400894108,95.771236270179116,95.771236270279118,95.963844126780685,95.963844126880687,96.153027629352266,96.153027629452268,96.340426609401177,96.340426609501179,96.508424935808435,96.508424935908437,96.675796267815841,96.675796267915842,96.833859144502313,96.833859144602314,96.981443980160449,96.981443980260451,97.128196842480321,97.128196842580323,97.267847787463367,97.267847787563369,97.404544624216328,97.40454462431633,97.540180393523386,97.540180393623388,97.675020362246016,97.675020362346018,97.806737416553972,97.806737416653974,97.936513199739309,97.936513199839311,98.061984425217958,98.061984425317959,98.18692511697364,98.186925117073642,98.307440675176508,98.30744067527651,98.427293066225687,98.427293066325689,98.540598188830216,98.540598188930218,98.650623648420122,98.650623648520124,98.756139571364926,98.756139571464928,98.858158794772066,98.858158794872068,98.95719979477991,98.957199794879912,99.053648414096045,99.053648414196047,99.140728290168184,99.140728290268186,99.227579072132684,99.227579072232686,99.30995649020592,99.309956490305922,99.391960123156167,99.391960123256169,99.464667358370107,99.464667358470109,99.536759656768794,99.536759656868796,99.607622081537002,99.607622081637004,99.676145334890364,99.676145334990366,99.743016699151809,99.743016699251811,99.809526335874878,99.80952633597488,99.874697580705941,99.874697580805943,99.937469366199096,99.937469366299098,100.0],[0.0,1e-10,3.406543034680515,3.406543034780515,6.2002861607450139,6.2002861608450139,8.9653253430926743,8.9653253431926743,11.330530305360169,11.330530305460169,13.428056347598901,13.428056347698901,15.34577268526858,15.34577268536858,17.001550891652865,17.001550891752863,18.577426691445787,18.577426691545785,20.096802585698114,20.096802585798113,21.587796723356956,21.587796723456954,23.07261072619513,23.072610726295128,24.540524549926555,24.540524550026554,25.979763719679628,25.979763719779626,27.385964064419852,27.38596406451985,28.781942290428258,28.781942290528256,30.158296391650666,30.158296391750664,31.276725055760341,31.276725055860339,32.239683787983296,32.239683788083298,33.182813367250851,33.182813367350853,34.10227683782125,34.102276837921252,34.990165970303131,34.990165970403133,35.821496617767451,35.821496617867453,36.65224147046203,36.652241470562032,37.47458016821097,37.474580168310972,38.281688201946892,38.281688202046894,39.084227036478907,39.084227036578909,39.857622581216781,39.857622581316782,40.611042524306825,40.611042524406827,41.353156628341047,41.353156628441049,42.060181625668356,42.060181625768358,42.763516115946359,42.763516116046361,43.442452254065053,43.442452254165055,44.105542643662503,44.105542643762504,44.766846359212281,44.766846359312282,45.425513998298264,45.425513998398266,46.048653184600042,46.048653184700044,46.659666419168374,46.659666419268376,47.253398708029636,47.253398708129637,47.829059228244681,47.829059228344683,48.403255261535399,48.403255261635401,48.969162298834412,48.969162298934414,49.534893597702514,49.534893597802515,50.100009812062396,50.100009812162398,50.659707424802257,50.659707424902258,51.215568081800384,51.215568081900386,51.712849261825369,51.712849261925371,52.209808254727001,52.209808254827003,52.70146580496256,52.701465805062561,53.181466039280465,53.181466039380467,53.661231955690482,53.661231955790484,54.132415978723934,54.132415978823936,54.600319551046887,54.600319551146889,55.067227272261299,55.067227272361301,55.52707616650045,55.527076166600452,55.980334869580119,55.980334869680121,56.431133234626913,56.431133234726914,56.872031668065254,56.872031668165256,57.312783652811156,57.312783652911158,57.748087746198557,57.748087746298559,58.176450171564646,58.176450171664648,58.600594874588666,58.600594874688667,59.019526004162074,59.019526004262076,59.428410753434591,59.428410753534592,59.832169798471952,59.832169798571954,60.23543091795505,60.235430918055052,60.636876073651976,60.636876073751978,61.034630722299596,61.034630722399598,61.422485439338757,61.422485439438759,61.808817089976614,61.808817090076616,62.194621525321708,62.194621525421709,62.57802420211091,62.578024202210912,62.960343158576109,62.96034315867611,63.336716298128529,63.336716298228531,63.712474353172738,63.712474353272739,64.087617323708727,64.087617323808729,64.460124217780916,64.460124217880917,64.828325520295593,64.828325520395595,65.193978615561932,65.193978615661933,65.557024924102961,65.557024924202963,65.915033397624313,65.915033397724315,66.266803156848013,66.266803156948015,66.61696198045496,66.616961980554962,66.962668763811948,66.96266876391195,67.307057508937035,67.307057509037037,67.651094777200285,67.651094777300287,67.981424447851822,67.981424447951824,68.310523949486921,68.310523949586923,68.635376439041465,68.635376439141467,68.95255501711253,68.952555017212532,69.268884192767487,69.268884192867489,69.584920471037577,69.584920471137579,69.895333119518241,69.895333119618243,70.203197560750581,70.203197560850583,70.507722971795445,70.507722971895447,70.812043354670905,70.812043354770907,71.115543624868749,71.115543624968751,71.414123219000842,71.414123219100844,71.712351336271098,71.7123513363711,72.008236274462419,72.008236274562421,72.300840761943263,72.300840762043265,72.591951472761281,72.591951472861282,72.876823469281661,72.876823469381662,73.157829220321801,73.157829220421803,73.437253325483681,73.437253325583683,73.716003766660364,73.716003766760366,73.994226992544299,73.9942269926443,74.270487805949628,74.27048780604963,74.543995383937215,74.543995384037217,74.814456829122207,74.814456829222209,75.083219469474969,75.083219469574971,75.345919133961019,75.34591913406102,75.607505788384572,75.607505788484573,75.868565227515361,75.868565227615363,76.129068161614924,76.129068161714926,76.386524962911864,76.386524963011865,76.641550715914434,76.641550716014436,76.892505195267361,76.892505195367363,77.143254646450885,77.143254646550886,77.393359723387704,77.393359723487706,77.643289061893611,77.643289061993613,77.893042661968593,77.893042662068595,78.141946859627467,78.141946859727469,78.390528870162981,78.390528870262983,78.638964432006063,78.638964432106064,78.886462722217587,78.886462722317589,79.131500674396236,79.131500674496237,79.37507413965055,79.375074139750552,79.861342378004579,79.861342378104581,80.345618914141525,80.345618914241527,80.583480880390965,80.583480880490967,80.819439013638771,80.819439013738773,81.053464024146464,81.053464024246466,81.287020398838365,81.287020398938367,81.513898713155342,81.513898713255344,81.737555156238784,81.737555156338786,81.960098589259744,81.960098589359745,82.180562450848157,82.180562450948159,82.400030461328029,82.400030461428031,82.618795518084212,82.618795518184214,82.837150518501602,82.837150518601604,83.053982452517673,83.053982452617674,83.266420925760769,83.266420925860771,83.478595791357478,83.478595791457479,83.902330438042682,83.902330438142684,84.110521899205224,84.110521899305226,84.318303304028944,84.318303304128946,84.525118147482615,84.525118147582617,84.729501942641903,84.729501942741905,84.93338781224692,84.933387812346922,85.136863625513115,85.136863625613117,85.340192990086891,85.340192990186893,85.542965849629411,85.542965849729413,85.948306540545047,85.948306540645049,86.149116987608977,86.149116987708979,86.349751696241981,86.349751696341983,86.549478422981906,86.549478423081908,86.748121429397813,86.748121429497814,86.946325089736433,86.946325089836435,87.144353011644142,87.144353011744144,87.336815883239382,87.336815883339384,87.529015147188261,87.529015147288263,87.720921513752259,87.720921513852261,87.912066347115626,87.912066347215628,88.102976862571083,88.102976862671085,88.292920816656491,88.292920816756492,88.482689032310972,88.482689032410974,88.67219364031908,88.672193640419081,88.861024584342005,88.861024584442006,89.04967978993399,89.049679790033991,89.237954228925673,89.237954229025675,89.425467134716683,89.425467134816685,89.797417523757645,89.797417523857646,89.980361230344755,89.980361230444757,90.16210405765392,90.162104057753922,90.343114641500918,90.34311464160092,90.522484999992685,90.522485000092686,90.701357432930166,90.701357433030168,90.879585491620944,90.879585491720945,91.057374204234421,91.057374204334423,91.235016468155465,91.235016468255466,91.41098921698277,91.410989217082772,91.761821704574913,91.761821704674915,91.936359256216377,91.936359256316379,92.28505359289899,92.285053592998992,92.457950919185222,92.457950919285224,92.630467478871111,92.630467478971113,92.802691141172147,92.802691141272149,92.974739065042257,92.974739065142259,93.14643551205053,93.146435512150532,93.489330480512805,93.489330480612807,93.660353263535882,93.660353263635884,93.83096599022015,93.830965990320152,94.171898546203835,94.171898546303836,94.341163944917724,94.341163945017726,94.50984354886188,94.509843548961882,94.677995937513273,94.677995937613275,94.845621110871917,94.845621110971919,95.012660489460814,95.012660489560815,95.178557568248749,95.178557568348751,95.34419103939031,95.344191039490312,95.675194374027029,95.675194374127031,95.839451227459719,95.839451227559721,96.003034416907212,96.003034417007214,96.329673580509436,96.329673580609438,96.490298506369783,96.490298506469784,96.650747693799218,96.65074769389922,96.809761684042797,96.809761684142799,96.968512066640017,96.968512066740018,97.285749224188052,97.285749224288054,97.444177419661912,97.444177419761914,97.601228997426901,97.601228997526903,97.756991826698481,97.756991826798483,97.912432468846703,97.912432468946704,98.066701521455471,98.066701521555473,98.219096030801083,98.219096030901085,98.370055342960868,98.370055343060869,98.520370280873948,98.52037028097395,98.670245872709728,98.67024587280973,98.8188327160521,98.818832716152102,99.115684215613484,99.115684215713486,99.411832761451194,99.411832761551196,99.559482333161995,99.559482333261997,99.706487530626077,99.706487530726079,100.0],[0.0,1e-10,8.2589557366705417,8.2589557367705417,13.526331260683881,13.526331260783881,18.684738222689052,18.684738222789051,22.992179352517041,22.99217935261704,26.73099930911685,26.730999309216848,28.724075499111589,28.724075499211587,30.578038902900023,30.578038903000021,32.387441279612958,32.387441279712959,34.192911800995695,34.192911801095697,35.79879385656966,35.798793856669661,37.393816502184052,37.393816502284054,38.963001241342894,38.963001241442896,40.494739739261824,40.494739739361826,41.991466001621426,41.991466001721427,43.487256107950024,43.487256108050026,44.940731961677514,44.940731961777516,46.340285228019525,46.340285228119527,47.692468999193032,47.692468999293034,49.022185025622591,49.022185025722592,50.346284115866162,50.346284115966164,51.64229852517979,51.642298525279791,52.911726103213077,52.911726103313079,54.177596288328566,54.177596288428568,55.435228300371278,55.43522830047128,56.680128590392421,56.680128590492423,57.918663019402771,57.918663019502773,59.155137905144926,59.155137905244928,60.360345179451748,60.36034517955175,61.552820731737,61.552820731837002,62.741551659898256,62.741551659998258,63.897704358180789,63.897704358280791,65.038129635142553,65.038129635242555,66.17574644401131,66.175746444111311,67.299320912415112,67.299320912515114,68.414657207746131,68.414657207846133,69.523814873272556,69.523814873372558,70.628666221056392,70.628666221156394,71.72172200284966,71.721722002949662,72.80803746121974,72.808037461319742,73.891169989084418,73.891169989184419,76.04975856535961,76.049758565459612,78.194679263582216,78.194679263682218,79.248790954485969,79.248790954585971,80.299719714884318,80.29971971498432,81.347278313571081,81.347278313671083,82.380420109380466,82.380420109480468,83.409255587447277,83.409255587547278,84.430789048472292,84.430789048572294,85.44633111089891,85.446331110998912,86.454383925077565,86.454383925177567,87.455321953420622,87.455321953520624,88.454013207289279,88.454013207389281,89.437913195868177,89.437913195968179,90.419004716354081,90.419004716454083,91.394853763066394,91.394853763166395,92.36302633032453,92.363026330424532,93.325769192602863,93.325769192702865,95.249195373891354,95.249195373991355,96.207070224808504,96.207070224908506,97.161574914014068,97.16157491411407,98.113271135126638,98.11327113522664,99.059537651259404,99.059537651359406,100.0],[0.0,1e-10,1.7879188016014638,1.7879188017014638,3.2703316889251561,3.2703316890251561,4.5638440736730468,4.5638440737730468,5.7502687767297846,5.7502687768297847,6.7986996136991333,6.7986996137991333,7.7616427284741007,7.7616427285741008,8.646038132520907,8.646038132620907,9.5302881268036597,9.5302881269036597,10.375634399667197,10.375634399767197,11.204615464539913,11.204615464639913,12.026180631445866,12.026180631545866,12.839312032036679,12.839312032136679,13.643428027256135,13.643428027356135,14.443988092790994,14.443988092890994,15.202511517444742,15.202511517544743,15.954742665035786,15.954742665135786,16.690939081372495,16.690939081472493,17.365785796347808,17.365785796447806,18.035437417025552,18.03543741712555,18.690244022700316,18.690244022800314,19.333298875625609,19.333298875725607,19.966862436679005,19.966862436779003,20.578270837318332,20.57827083741833,21.187180833829821,21.187180833929819,21.792971129948871,21.792971130048869,22.397294109357926,22.397294109457924,23.000030800431841,23.000030800531839,23.59872245625116,23.598722456351158,24.185847426293442,24.18584742639344,24.762820150990855,24.762820151090853,25.333963266056642,25.333963266156641,25.887670428505391,25.887670428605389,26.439685550063327,26.439685550163325,26.990484517230993,26.990484517330991,27.519445581651613,27.519445581751611,28.033548411999796,28.033548412099794,28.546593716791218,28.546593716891216,29.05650610212075,29.056506102220748,29.562518861959735,29.562518862059733,30.066218284643316,30.066218284743314,30.558721155494723,30.558721155594721,31.021097767048005,31.021097767148003,31.483104244656424,31.483104244756422,31.936439012699427,31.936439012799426,32.388015644504321,32.388015644604323,32.838138178668679,32.838138178768681,33.284030610606003,33.284030610706004,33.729486813251164,33.729486813351166,34.174401034048486,34.174401034148488,34.618945120900946,34.618945121000948,35.044519843079073,35.044519843179074,35.465322481182326,35.465322481282328,35.885120470006662,35.885120470106664,36.298586524559909,36.29858652465991,36.709435203360179,36.709435203460181,37.089245507069627,37.089245507169629,37.466782130832037,37.466782130932039,37.84039269096499,37.840392691064991,38.213778526917132,38.213778527017134,38.586516628465759,38.586516628565761,38.958540900263579,38.95854090036358,39.328992102795716,39.328992102895718,39.699112828591367,39.699112828691369,40.067885209302155,40.067885209402156,40.435177054233478,40.435177054333479,40.801543564302641,40.801543564402643,41.166746796259375,41.166746796359377,41.527349792044205,41.527349792144207,41.887318272494987,41.887318272594989,42.246387856222526,42.246387856322528,42.603487798600604,42.603487798700606,42.95923939589381,42.959239395993812,43.314528325755944,43.314528325855946,43.668720072852935,43.668720072952937,44.021629570212362,44.021629570312363,44.373336132250977,44.373336132350978,44.724487493372287,44.724487493472289,45.073484146171708,45.07348414627171,45.42056403389951,45.420564033999511,45.76583290911136,45.765832909211362,46.108233246250514,46.108233246350515,46.449232362026954,46.449232362126956,46.786649109979884,46.786649110079885,47.122995113306594,47.122995113406596,47.458349686423844,47.458349686523846,47.787980402465145,47.787980402565147,48.116038049240771,48.116038049340773,48.443302551848824,48.443302551948825,48.76891467077445,48.768914670874452,49.09299337764277,49.092993377742772,49.411824113935687,49.411824114035689,49.728553018184549,49.728553018284551,50.043867482001247,50.043867482101248,50.357291618885242,50.357291618985244,50.669645011143018,50.66964501124302,50.981178821094304,50.981178821194305,51.291787296183429,51.291787296283431,51.596671914196605,51.596671914296607,51.899904148527348,51.89990414862735,52.199316071784303,52.199316071884304,52.491840859852879,52.49184085995288,52.782739702377938,52.78273970247794,53.069408442675964,53.069408442775966,53.35133153703805,53.351331537138051,53.63316209791391,53.633162098013912,53.914344924386263,53.914344924486265,54.194113310426445,54.194113310526447,54.473538000660689,54.473538000760691,54.749842990502493,54.749842990602495,55.023358756688353,55.023358756788355,55.296689455901777,55.296689456001779,55.569848307212233,55.569848307312235,55.841077174381603,55.841077174481605,56.110970915535567,56.110970915635569,56.377480574907906,56.377480575007908,56.641848745027815,56.641848745127817,56.906005410036364,56.906005410136366,57.166024506304105,57.166024506404106,57.42400786587509,57.424007865975092,57.68036527990256,57.680365280002562,57.935096748386513,57.935096748486515,58.188479871785603,58.188479871885605,58.44158539472604,58.441585394826042,58.694492631624591,58.694492631724593,58.947161925272866,58.947161925372868,59.19930245614276,59.199302456242762,59.444714480657794,59.444714480757796,59.689703494950116,59.689703495050118,59.934599975756228,59.93459997585623,60.179218856103688,60.17921885620369,60.421920971379528,60.42192097147953,60.662706321583741,60.662706321683743,61.144052297811356,61.144052297911358,61.383132388055301,61.383132388155303,61.620705504380865,61.620705504480867,61.857564790955621,61.857564791055623,62.09402750544659,62.094027505546592,62.328943588810795,62.328943588910796,62.563502757299602,62.563502757399604,62.797784325329758,62.79778432542976,63.029990499454776,63.029990499554778,63.261548939176286,63.261548939276288,63.491494652423739,63.491494652523741,63.719246000140913,63.719246000240915,63.945913384162417,63.945913384262418,64.170214554750672,64.170214554850673,64.392810465378659,64.392810465478661,64.61477186067259,64.614771860772592,64.83619127411869,64.836191274218692,65.056064056438018,65.05606405653802,65.275527047604115,65.275527047704117,65.492570949059129,65.492570949159131,65.708927458902238,65.70892745900224,65.925019587356175,65.925019587456177,66.141005963254429,66.141005963354431,66.355802622901322,66.355802623001324,66.570189491394984,66.570189491494986,66.783624586887555,66.783624586987557,66.996821739129857,66.996821739229858,67.209371156968658,67.209371157068659,67.421563659932033,67.421563660032035,67.633663629409199,67.633663629509201,67.845485998427719,67.845485998527721,68.057043986057053,68.057043986157055,68.268324373227742,68.268324373327744,68.478216758105177,68.478216758205178,68.685002661659638,68.68500266175964,68.889409132711393,68.889409132811394,69.297283520883283,69.297283520983285,69.499376654779638,69.49937665487964,69.701046778453289,69.701046778553291,69.902055948653967,69.902055948753969,70.101267325408145,70.101267325508147,70.300306854259361,70.300306854359363,70.498103790581382,70.498103790681384,70.694618477165847,70.694618477265848,70.890551524694075,70.890551524794077,71.282034266736233,71.282034266836234,71.475006242705547,71.475006242805549,71.663787773656225,71.663787773756226,71.851234178591483,71.851234178691485,72.038151820748354,72.038151820848356,72.4072678972651,72.407267897365102,72.589294483721972,72.589294483821973,72.769020952092902,72.769020952192903,72.947927838157341,72.947927838257343,73.125988703776386,73.125988703876388,73.303798407075689,73.303798407175691,73.480629899234998,73.480629899335,73.833248577066314,73.833248577166316,74.008295494848596,74.008295494948598,74.181359552211958,74.18135955231196,74.353352864949102,74.353352865049104,74.523759889351098,74.5237598894511,74.693770341669321,74.693770341769323,74.863318126556464,74.863318126656466,75.032720501679549,75.032720501779551,75.201818838205071,75.201818838305073,75.370454507299499,75.370454507399501,75.538297032226367,75.538297032326369,75.705227441360535,75.705227441460536,75.871457239813353,75.871457239913354,76.037396218738053,76.037396218838055,76.203242664176543,76.203242664276544,76.366484952931515,76.366484953031517,76.529357107741632,76.529357107841633,76.692110290926607,76.692110291026609,76.853872043902115,76.853872044002117,77.176681720102337,77.176681720202339,77.336579584284067,77.336579584384069,77.494415273630111,77.494415273730112,77.65210555321211,77.652105553312111,77.809610765821674,77.809610765921676,77.966336053333123,77.966336053433125,78.122109567843509,78.122109567943511,78.275979536351713,78.275979536451715,78.429386837428837,78.429386837528838,78.581617641324087,78.581617641424089,78.733703035455264,78.733703035555266,78.885299324016444,78.885299324116446,79.036419726077085,79.036419726177087,79.187394718373668,79.187394718473669,79.489133197855494,79.489133197955496,79.63961908458208,79.639619084682082,79.789787713641644,79.789787713741646,79.939863809214984,79.939863809314986,80.089582989912927,80.089582990012929,80.238945255735459,80.238945255835461,80.387659787154476,80.387659787254478,80.684295705824937,80.684295705924939,80.832071683312336,80.832071683412337,80.979530403132713,80.979530403232715,81.126671865286056,81.126671865386058,81.272491420493438,81.27249142059344,81.417015506893804,81.417015506993806,81.560812544473904,81.560812544573906,81.704450953220487,81.704450953320489,81.847745666161131,81.847745666261133,81.990524835392847,81.990524835492849,82.132709146498883,82.132709146598884,82.274007779951134,82.274007780051136,82.414301764124474,82.414301764224476,82.552639326017811,82.552639326117813,82.690342372577092,82.690342372677094,82.827358027524483,82.827358027624484,82.96325006156782,82.963250061667821,83.098666209110604,83.098666209210606,83.232654697151773,83.232654697251775,83.366325927525921,83.366325927625923,83.499560928607906,83.499560928707908,83.632095319008528,83.632095319108529,83.7632813643243,83.763281364424302,83.893264474319253,83.893264474419254,84.022295811313114,84.022295811413116,84.280133761120041,84.280133761220043,84.408715649752295,84.408715649852297,84.536834870953456,84.536834871053458,84.664848339598947,84.664848339698949,84.792227292910383,84.792227293010384,84.918984949957235,84.918984950057236,85.045068434461641,85.045068434561642,85.168270161823884,85.168270161923886,85.414435673298101,85.414435673398103,85.536645970450891,85.536645970550893,85.65836716203367,85.658367162133672,85.779427400143476,85.779427400243478,85.898941007126538,85.89894100722654,86.018388518762293,86.018388518862295,86.137664182495072,86.137664182595074,86.254520756516769,86.25452075661677,86.370808910551716,86.370808910651718,86.603266246996469,86.603266247096471,86.718708380585994,86.718708380685996,86.833939009064181,86.833939009164183,86.948680531972371,86.948680532072373,87.063091578144068,87.06309157824407,87.17698708060685,87.176987080706851,87.290525668194221,87.290525668294222,87.403363645100242,87.403363645200244,87.515818268991936,87.515818269091938,87.740621764219654,87.740621764319656,87.965134439919268,87.96513444001927,88.076557976393119,88.07655797649312,88.187862541241842,88.187862541341843,88.298770534006778,88.298770534106779,88.409506678868752,88.409506678968754,88.519899127924774,88.519899128024775,88.740538616272758,88.74053861637276,88.850441959758768,88.85044195985877,88.960107359994524,88.960107360094526,89.069415845354868,89.06941584545487,89.178420292117636,89.178420292217638,89.286697690060151,89.286697690160153,89.502816256652991,89.502816256752993,89.61056489181712,89.610564891917122,89.718115240939355,89.718115241039357,89.825229360769427,89.825229360869429,90.039061028345785,90.039061028445786,90.145738918883694,90.145738918983696,90.251861608504299,90.251861608604301,90.357772793013567,90.357772793113568,90.463591444036609,90.463591444136611,90.56814106439154,90.568141064491542,90.671593501981334,90.671593502081336,90.774530395862215,90.774530395962216,90.87695174603418,90.876951746134182,91.183700252841135,91.183700252941136,91.387419332281013,91.387419332381015,91.488941785729722,91.488941785829724,91.590041228955741,91.590041229055743,91.791711352629392,91.791711352729394,91.891806146576485,91.891806146676487,91.991596901926002,91.991596902026004,92.091176152164181,92.091176152264183,92.190543897291008,92.190543897391009,92.289131717319719,92.289131717419721,92.387058583875458,92.38705858397546,92.483927924874436,92.483927924974438,92.676542985968354,92.676542986068355,92.772156515368692,92.772156515468694,92.867545320588206,92.867545320688208,92.962497896515572,92.962497896615574,93.246985490352785,93.246985490452786,93.340959855140156,93.340959855240158,93.433387588800755,93.433387588900757,93.52540553130811,93.525405531408111,93.616749301273032,93.616749301373034,93.708000537751744,93.708000537851746,93.799132802605314,93.799132802705316,93.88895637958241,93.888956379682412,93.978555232378682,93.978555232478683,94.157501775651511,94.157501775751513,94.246069541029939,94.246069541129941,94.334346486880278,94.33434648698028,94.422107889021689,94.422107889121691,94.509393404662546,94.509393404762548,94.596163376594504,94.596163376694506,94.682483900164826,94.682483900264828,94.768447508859751,94.768447508959753,94.940255754624459,94.940255754724461,95.026060734485867,95.026060734585869,95.111323732499443,95.111323732599445,95.196520635165712,95.196520635265713,95.280977269942255,95.280977270042257,95.365248837746364,95.365248837846366,95.448978423702641,95.448978423802643,95.615710546794915,95.615710546894917,95.698699864861453,95.698699864961455,95.863303717770748,95.86330371787075,95.944891814474587,95.944891814574589,96.106481719547133,96.106481719647135,96.18611339397097,96.186113394070972,96.265573220491831,96.265573220591833,96.344966951665398,96.3449669517654,96.424202054005448,96.42420205410545,96.503344622859288,96.50334462295929,96.582355001018527,96.582355001118529,96.660651549426959,96.66065154952696,96.73885556434918,96.738855564449182,96.816610130909766,96.816610131009767,96.894298602123058,96.89429860222306,96.971907758919599,96.971907759019601,97.049397944090998,97.049397944191,97.204047837697317,97.204047837797319,97.280969602881967,97.280969602981969,97.434614847209374,97.434614847309376,97.510994630546179,97.510994630646181,97.587215785049466,97.587215785149468,97.663370844205474,97.663370844305476,97.739155769416598,97.7391557695166,97.814676313238536,97.814676313338538,97.889707751490477,97.889707751590478,97.964276522311337,97.964276522411339,98.038541254534636,98.038541254634637,98.112687015132792,98.112687015232794,98.186475860855552,98.186475860955554,98.259074990326951,98.259074990426953,98.331370081200774,98.331370081300776,98.4035726385884,98.403572638688402,98.475325747614392,98.475325747714393,98.546536874792537,98.546536874892539,98.68878728124588,98.688787281345881,98.759456426576193,98.759456426676195,98.900636088403317,98.900636088503319,98.970816128163634,98.970816128263635,99.040877196298823,99.040877196398824,99.110475597002917,99.110475597102919,99.180007902359719,99.180007902459721,99.318979979587112,99.318979979687114,99.388155370068517,99.388155370168519,99.457172131716391,99.457172131816392,99.526043483600219,99.526043483700221,99.594848740136754,99.594848740236756,99.663508586909231,99.663508587009233,99.73181151880631,99.731811518906312,99.800021917217165,99.800021917317167,99.866976504029367,99.866976504129369,99.933706366660772,99.933706366760774,100.0],[0.0,1e-10,1.67563440846824,1.67563440856824,2.7902878995787708,2.7902878996787708,3.9004597046445997,3.9004597047445997,4.9349344395696662,4.9349344396696662,5.8161305958397502,5.8161305959397502,6.6552382306991724,6.6552382307991724,7.4738300669188646,7.4738300670188647,8.2755356966703122,8.2755356967703122,9.0543740764203662,9.0543740765203662,9.8118855297090715,9.8118855298090715,10.527627996789573,10.527627996889573,11.215390650629386,11.215390650729386,11.879876393951838,11.879876394051838,12.514784648021323,12.514784648121323,13.043967716129515,13.043967716229515,13.540738444214233,13.540738444314233,14.020762250406138,14.020762250506138,14.463482370013899,14.463482370113899,14.905055440176946,14.905055440276946,15.341548719941979,15.341548720041979,15.726228137647244,15.726228137747244,16.085426671259235,16.085426671359233,16.437406986579848,16.437406986679846,16.76758516924059,16.767585169340588,17.096083743785858,17.096083743885856,17.422673300326711,17.422673300426709,17.740397803301995,17.740397803401994,18.055254682665495,18.055254682765494,18.367866622401483,18.367866622501481,18.674964531592526,18.674964531692524,18.967544072097628,18.967544072197626,19.259869623082828,19.259869623182826,19.547434918872469,19.547434918972467,19.826339991354523,19.826339991454521,20.103893184133881,20.103893184233879,20.378742617507843,20.378742617607841,20.647840417237596,20.647840417337594,20.915143903907406,20.915143904007405,21.174499976567418,21.174499976667416,21.427203162448091,21.427203162548089,21.674900296823623,21.674900296923621,21.921728950905301,21.921728951005299,22.166329051780107,22.166329051880105,22.410519492138942,22.41051949223894,22.649449891472734,22.649449891572733,22.886037032655185,22.886037032755183,23.120698769412584,23.120698769512583,23.35495903886433,23.354959038964328,23.58427060928317,23.584270609383168,23.812009083320689,23.812009083420687,24.037412492417182,24.037412492517181,24.260316972366269,24.260316972466267,24.482139948553193,24.482139948653192,24.703807253744053,24.703807253844051,24.925064898418938,24.925064898518936,25.144347979406856,25.144347979506854,25.362492204160382,25.362492204260381,25.576130163238243,25.576130163338242,25.788997960546087,25.788997960646086,26.000702321988577,26.000702322088575,26.21065333642272,26.210653336522718,26.420366747757601,26.420366747857599,26.62613922492886,26.626139225028858,26.830314026087837,26.830314026187835,27.033489255587853,27.033489255687851,27.234501477563548,27.234501477663546,27.434956561237527,27.434956561337525,27.634649676351806,27.634649676451804,27.834064222315224,27.834064222415222,28.030414507619195,28.030414507719193,28.226641894768374,28.226641894868372,28.420804592917069,28.420804593017067,28.614647755863306,28.614647755963304,28.808245122499965,28.808245122599963,28.998860160580367,28.998860160680366,29.18892625356937,29.188926253669369,29.378476174308254,29.378476174408252,29.567976935785222,29.56797693588522,29.757149968849415,29.757149968949413,29.945175952468894,29.945175952568892,30.131399429818106,30.131399429918105,30.317426270119658,30.317426270219656,30.501224557214336,30.501224557314334,30.6825239151616,30.682523915261598,30.862864667501501,30.862864667601499,31.042812145746069,31.042812145846067,31.220449138680571,31.22044913878057,31.397389708737929,31.397389708837927,31.574231960271451,31.574231960371449,31.749738718522917,31.749738718622915,31.925163544671186,31.925163544771184,32.275693661765267,32.275693661865269,32.450774373080129,32.450774373180131,32.62564206092668,32.625642061026682,32.800436009880357,32.800436009980359,32.975188992782435,32.975188992882437,33.14987643000196,33.149876430101962,33.499005508131432,33.499005508231434,33.672939170001577,33.672939170101579,33.84531612191104,33.845316122011042,34.017389925038678,34.01738992513868,34.188529702189911,34.188529702289912,34.357293448348528,34.35729344844853,34.525721272884049,34.52572127298405,34.693469060963054,34.693469061063055,34.860487653323638,34.86048765342364,35.026449321553024,35.026449321653025,35.191485157016324,35.191485157116325,35.355783603550869,35.35578360365087,35.519582264255938,35.51958226435594,35.682496058246514,35.682496058346516,35.842165340950615,35.842165341050617,36.001605213765771,36.001605213865773,36.160733744588796,36.160733744688798,36.319313330320419,36.319313330420421,36.47776182468693,36.477761824786931,36.634743734406271,36.634743734506273,36.789202135347246,36.789202135447248,36.943136170827778,36.943136170927779,37.096267271697016,37.096267271797018,37.248980518839957,37.248980518939959,37.401415196832048,37.401415196932049,37.553153451946983,37.553153452046985,37.70469507001426,37.704695070114262,37.85547471952183,37.855474719621832,38.002370787338016,38.002370787438018,38.14916853663037,38.149168536730372,38.295704103192499,38.295704103292501,38.441215518464709,38.441215518564711,38.586227147907437,38.586227148007438,38.730755377941321,38.730755378041323,38.874415127681353,38.874415127781354,39.017812694691159,39.017812694791161,39.16108736354618,39.161087363646182,39.304296486718641,39.304296486818643,39.447194267898972,39.447194267998974,39.58955949040854,39.589559490508542,39.729917376389857,39.729917376489858,39.870054045692548,39.87005404579255,40.009731895217364,40.009731895317366,40.149180334853227,40.149180334953229,40.288473103493025,40.288473103593027,40.427700326450271,40.427700326550273,40.566591627784419,40.566591627884421,40.704893017975579,40.70489301807558,40.843038737170659,40.84303873727066,40.981036978580001,40.981036978680002,41.118912321834543,41.118912321934545,41.394507337347569,41.394507337447571,41.532169657133814,41.532169657233815,41.669151940463543,41.669151940563545,41.805904813904334,41.805904814004336,41.942157901515642,41.942157901615644,42.078353636654718,42.07835363675472,42.213762823603133,42.213762823703135,42.348999953134836,42.348999953234838,42.483720910416423,42.483720910516425,42.61835993559481,42.618359935694812,42.752572913836595,42.752572913936596,42.885901025363886,42.885901025463887,43.018680191799774,43.018680191899776,43.151205368715765,43.151205368815766,43.283640420318243,43.283640420418244,43.548297500054893,43.548297500154895,43.680404823244594,43.680404823344595,43.811807530346833,43.811807530446835,43.943054566453,43.943054566553002,44.074063999459902,44.074063999559904,44.204975113942979,44.204975114042981,44.335566693223591,44.335566693323592,44.466092726821657,44.466092726921659,44.596168133852146,44.596168133952148,44.726128835938177,44.726128836038178,44.855966639869408,44.855966639969409,44.985525874649781,44.985525874749783,45.114298561239494,45.114298561339496,45.371671877002214,45.371671877102216,45.500206960492669,45.500206960592671,45.628668305090244,45.628668305190246,45.756449613231311,45.756449613331313,45.88360823738811,45.883608237488112,46.010488292394044,46.010488292494045,46.136729276995069,46.136729277095071,46.26279001096907,46.262790011069072,46.387761047970592,46.387761048070594,46.512158560249752,46.512158560349754,46.636211957695508,46.63621195779551,46.75997859278008,46.759978592880081,47.007331612322197,47.007331612422199,47.130827871466231,47.130827871566233,47.37623090695233,47.376230907052332,47.497973819088017,47.497973819188019,47.619569253437952,47.619569253537954,47.741033596422781,47.741033596522783,47.983233086674005,47.983233086774007,48.103869915416574,48.103869915516576,48.224121663274133,48.224121663374135,48.343775306778376,48.343775306878378,48.463011096556329,48.463011096656331,48.58212398817949,48.582123988279491,48.700958310651799,48.700958310751801,48.93846309139002,48.938463091490021,49.056977878659865,49.056977878759866,49.175173130727259,49.175173130827261,49.411457123127896,49.411457123227898,49.528988725159415,49.528988725259417,49.646389235825829,49.646389235925831,49.763634075496171,49.763634075596173,49.8808297559046,49.880829756004601,49.996821034396078,49.99682103449608,50.112009378276262,50.112009378376264,50.226869993743662,50.226869993843664,50.341583131425317,50.341583131525319,50.456124211690266,50.456124211790268,50.570231051808292,50.570231051908294,50.684174027719926,50.684174027819928,50.797969525845808,50.79796952594581,50.911609352975624,50.911609353075626,51.025101702319695,51.025101702419697,51.252020855325277,51.252020855425279,51.365160896625611,51.365160896725612,51.591350853912765,51.591350854012767,51.704327031006713,51.704327031106715,51.817131150683956,51.817131150783958,51.929599348738101,51.929599348838103,52.041502215280204,52.041502215380206,52.153290376877841,52.153290376977843,52.264767196483341,52.264767196583342,52.375801582731597,52.375801582831599,52.486680297983781,52.486680298083783,52.597337796557348,52.597337796657349,52.707782271662602,52.707782271762603,52.817915404775725,52.817915404875727,52.927581524900638,52.92758152500064,53.037173906132686,53.037173906232688,53.146536877475782,53.146536877575784,53.255572120406107,53.255572120506109,53.364566397284833,53.364566397384834,53.473486935270692,53.473486935370694,53.582333734363665,53.582333734463667,53.691131374194732,53.691131374294734,53.79987985476388,53.799879854863882,53.908562789650468,53.908562789750469,54.125813954479177,54.125813954579179,54.234013489956929,54.234013490056931,54.342032774807649,54.342032774907651,54.449994707186136,54.449994707286137,54.557891093882063,54.557891093982064,54.665369626851707,54.665369626951708,54.771938713475897,54.771938713575899,54.984585294105116,54.984585294205118,55.090081070177469,55.090081070277471,55.195404788833116,55.195404788933118,55.300679348226844,55.300679348326845,55.405749077362586,55.405749077462588,55.51053204413715,55.510532044237152,55.61515114670533,55.615151146805331,55.719680123959996,55.719680124059998,55.823766667857413,55.823766667957415,55.927812245703237,55.927812245803239,56.031521901925963,56.031521902025965,56.135166012466136,56.135166012566138,56.238449621752252,56.238449621852254,56.341544787201023,56.341544787301025,56.444467895233089,56.444467895333091,56.547325457582602,56.547325457682604,56.650125667459882,56.650125667559884,56.75234415940448,56.752344159504482,56.854406980353012,56.854406980453014,56.956166652519727,56.956166652619729,57.057688721587176,57.057688721687178,57.158719198035463,57.158719198135465,57.259667742380557,57.259667742480559,57.360526161412139,57.360526161512141,57.461269875499255,57.461269875599257,57.561661281542634,57.561661281642635,57.661700379542275,57.661700379642276,57.861672063807411,57.861672063907413,58.061389758552643,58.061389758652645,58.161076548508554,58.161076548608555,58.260386450789774,58.260386450889776,58.359303078975664,58.359303079075666,58.557021630402971,58.557021630502973,58.655790780803109,58.655790780903111,58.754338714524629,58.75433871462463,58.950942989348498,58.9509429894485,59.048892818716702,59.048892818816704,59.244497521881605,59.244497521981607,59.342013111102879,59.342013111202881,59.439356642907448,59.43935664300745,59.536569083346905,59.536569083446906,59.632847497809955,59.632847497909957,59.825289621791583,59.825289621891585,59.921240307841856,59.921240307941858,60.017076288947656,60.017076289047658,60.112805758319304,60.112805758419306,60.208395943115526,60.208395943215528,60.303764911233124,60.303764911333126,60.399084720088801,60.399084720188803,60.493953902376916,60.493953902476918,60.683364538540367,60.683364538640369,60.777865026364111,60.777865026464113,60.87215249071955,60.872152490819552,61.060342338545418,61.06034233864542,61.154031698547541,61.154031698647543,61.24749984187104,61.247499841971042,61.434346003204531,61.434346003304533,61.527633895901005,61.527633896001007,61.620807083653006,61.620807083753007,61.806973208529982,61.806973208629984,61.899859633920805,61.899859634020807,61.992680513629075,61.992680513729077,62.0853539155516,62.085353915651602,62.177789714374853,62.177789714474855,62.270094421833008,62.27009442193301,62.362235265084763,62.362235265184765,62.454253210181733,62.454253210281735,62.545935233655612,62.545935233755614,62.637543518236612,62.637543518336614,62.728602857726216,62.728602857826218,62.910582252129991,62.910582252229993,63.00135482925841,63.001354829358412,63.182432970527053,63.182432970627055,63.272418999464819,63.27241899956482,63.362134652462046,63.362134652562048,63.451555349887769,63.451555349987771,63.540795796686467,63.540795796786469,63.629651162600155,63.629651162700156,63.718350857517777,63.718350857617779,63.806952233911566,63.806952234011568,63.895266847944178,63.89526684804418,63.983450370611678,63.98345037071168,64.159661744950611,64.159661745050613,64.247665016991078,64.24766501709108,64.423433957972762,64.423433958072764,64.510773579977368,64.51077358007737,64.598023076668454,64.598023076768456,64.685166061625395,64.685166061725397,64.859361906225757,64.859361906325759,64.946308254135033,64.946308254235035,65.033123510679189,65.033123510779191,65.119799482647934,65.119799482747936,65.292766345700386,65.292766345800388,65.465110524768562,65.465110524868564,65.551090073860152,65.551090073960154,65.636356813653947,65.636356813753949,65.721459689241371,65.721459689341373,65.806513405566861,65.806513405666863,65.891468803368525,65.891468803468527,65.97636684869795,65.976366848797952,66.060986324876524,66.060986324976525,66.145360004745513,66.145360004845514,66.313738670019106,66.313738670119108,66.397604370848299,66.397604370948301,66.481338980312373,66.481338980412374,66.564663929260476,66.564663929360478,66.647825014002194,66.647825014102196,66.730494506124757,66.730494506224758,66.813114838985399,66.813114839085401,66.895669626163482,66.895669626263484,67.143104577808785,67.143104577908787,67.225356216205057,67.225356216305059,67.30748495644653,67.307484956546531,67.389531764584817,67.389531764684818,67.553486096285951,67.553486096385953,67.635344460586893,67.635344460686895,67.717129085994955,67.717129086094957,67.880493506553094,67.880493506653096,67.961884857865826,67.961884857965828,68.043104151761852,68.043104151861854,68.124175967872134,68.124175967972135,68.204813543835485,68.204813543935487,68.285344608064676,68.285344608164678,68.365834706242282,68.365834706342284,68.446267451947634,68.446267452047636,68.6070182384139,68.607018238513902,68.687295313123201,68.687295313223203,68.767449489677702,68.767449489777704,68.847456188446458,68.84745618854646,69.007297528567264,69.007297528667266,69.086763475454944,69.086763475554946,69.166180263080705,69.166180263180706,69.245539698234225,69.245539698334227,69.40397999939043,69.403979999490431,69.48299531971054,69.482995319810541,69.640821130092775,69.640821130192776,69.719533301631074,69.719533301731076,69.798204507117774,69.798204507217775,69.876711848398074,69.876711848498076,69.955022552630723,69.955022552730725,70.033284097601452,70.033284097701454,70.189602357284926,70.189602357384928,70.26724121827138,70.267241218371382,70.422420621720462,70.422420621820464,70.499912004921171,70.499912005021173,70.57728048996708,70.577280490067082,70.654460531175658,70.65446053127566,70.808697715438001,70.808697715538003,70.962566205235987,70.962566205335989,71.115975875256083,71.115975875356085,71.192500459639092,71.192500459739094,71.26887756623637,71.268877566336371,71.345156354309808,71.345156354409809,71.42132043743878,71.421320437538782,71.497328849571673,71.497328849671675,71.5732635228117,71.573263522911702,71.725001777926636,71.725001778026638,71.800690654857078,71.80069065495708,71.876297599684335,71.876297599784337,71.951838998829032,71.951838998929034,72.02727388623957,72.027273886339572,72.17797160364394,72.177971603743941,72.252923091645641,72.252923091745643,72.402760521966485,72.402760522066487,72.477589111813401,72.477589111913403,72.552319383136478,72.55231938323648,72.626992301987315,72.626992302087316,72.701591481945272,72.701591482045274,72.850724296178655,72.850724296278656,72.999709632626278,72.99970963272628,73.073710708230934,73.073710708330935,73.221647313757671,73.221647313857673,73.295378013421796,73.295378013521798,73.369059553823988,73.369059553923989,73.442675548543619,73.442675548643621,73.516250577211665,73.516250577311666,73.58974367377651,73.589743673876512,73.663171224658811,73.663171224758813,73.736549616279191,73.736549616379193,73.882962284686528,73.882962284786529,73.955914629370298,73.9559146294703,74.028399961065858,74.02839996116586,74.100254415566837,74.100254415666839,74.171920426230471,74.171920426330473,74.243504504790891,74.243504504890893,74.3149492987759,74.314949298875902,74.457552124384733,74.457552124484735,74.599761675898236,74.599761675998238,74.741790976784699,74.741790976884701,74.812662246047353,74.812662246147354,74.883369651103607,74.883369651203608,74.953913191953475,74.953913192053477,75.024407573541438,75.02440757364144,75.094803636605562,75.094803636705564,75.235538410261569,75.235538410361571,75.305795188750267,75.305795188850269,75.37583894377066,75.375838943870662,75.445841732739453,75.445841732839455,75.515762589605046,75.515762589705048,75.585552355105534,75.585552355205536,75.724951635479485,75.724951635579487,75.794495604670388,75.79449560477039,75.863982221389065,75.863982221489067,75.933427872056143,75.933427872156145,76.141437095644591,76.141437095744593,76.210391153692498,76.2103911537925,76.279123995061795,76.279123995161797,76.347766711117558,76.34776671121756,76.416253756177269,76.416253756277271,76.484634289502822,76.484634289602823,76.62128884441978,76.621288844519782,76.689489127118307,76.689489127218309,76.757623864134288,76.75762386423429,76.893770440011451,76.893770440111453,76.961602028245608,76.961602028345609,77.029253365852725,77.029253365952727,77.164326631178042,77.164326631278044,77.231715786054963,77.231715786154965,77.298793598939739,77.29879359903974,77.365699354407795,77.365699354507797,77.43245763209012,77.432457632190122,77.499109398038286,77.499109398138287,77.631863984843221,77.631863984943223,77.896316234321887,77.896316234421889,77.962148679238112,77.962148679338114,78.027931964892417,78.027931964992419,78.093608738812577,78.093608738912579,78.159244546681137,78.159244546781139,78.290409650684111,78.290409650784113,78.42144366332198,78.421443663421982,78.486882834142875,78.486882834242877,78.617679243681479,78.617679243781481,78.682774299668964,78.682774299768965,78.812866093120093,78.812866093220094,78.877830057742472,78.877830057842473,79.072287711462664,79.072287711562666,79.136833822358753,79.136833822458755,79.201330773992922,79.201330774092924,79.33019358589614,79.330193585996142,79.394469320851684,79.394469320951686,79.458663123704042,79.458663123804044,79.586886865202359,79.586886865302361,79.650785712483213,79.650785712583215,79.714545275188627,79.714545275288629,79.778247485421815,79.778247485521817,79.905356950316701,79.905356950416703,79.968674079664879,79.968674079764881,80.031909276909857,80.031909277009859,80.094964223527825,80.094964223627827,80.157896271990992,80.157896272090994,80.283711209655408,80.28371120975541,80.346446621070911,80.346446621170912,80.471810932167756,80.471810932267758,80.534349706535593,80.534349706635595,80.659312550326788,80.65931255042679,80.784078757070333,80.784078757170334,80.846396314759545,80.846396314859547,80.908648326766198,80.908648326866199,80.970851179510944,80.970851179610946,81.033004872993772,81.033004873093773,81.094904576956694,81.094904577056695,81.218490961414247,81.218490961514249,81.280120289436624,81.280120289536626,81.403329786219473,81.403329786319475,81.526350839164991,81.526350839264992,81.587717984457157,81.587717984557159,81.648863913070699,81.6488639131707,81.70989513673976,81.709895136839762,81.770737916571491,81.770737916671493,81.892202259556313,81.892202259656315,82.013445385862511,82.013445385962513,82.074009596543377,82.074009596643378,82.134475488700417,82.134475488800419,82.194851255543938,82.19485125564394,82.315397958972994,82.315397959072996,82.435616933989266,82.435616934089268,82.495288084745326,82.495288084845328,82.554869110187866,82.554869110287868,82.614360010316886,82.614360010416888,82.673760785132401,82.673760785232403,82.733079627844717,82.733079627944718,82.792349311295126,82.792349311395128,82.910798552882426,82.910798552982428,82.969920758547076,82.969920758647078,83.147197250227521,83.147197250327523,83.206163784896106,83.206163784996107,83.32399853570945,83.323998535809451,83.441669422316409,83.44166942241641,83.559184637927288,83.55918463802729,83.617766091710862,83.617766091810864,83.676273806601571,83.676273806701573,83.734732362230346,83.734732362330348,83.79301066723211,83.793010667332112,83.851248006182274,83.851248006282276,83.967501467403963,83.967501467503965,84.257565692341018,84.25756569244102,84.315508075719677,84.315508075819679,84.43132729679445,84.431327296894452,84.489138588808004,84.489138588908006,84.604654661100966,84.604654661200968,84.777769001939163,84.777769002039165,84.835350884063786,84.835350884163788,84.892891800136795,84.892891800236796,84.950350784106618,84.95035078420662,85.007580358187496,85.007580358287498,85.121957574246053,85.121957574346055,85.179064250172146,85.179064250272148,85.23608080078472,85.236080800884721,85.293056385345693,85.293056385445695,85.349704241493896,85.349704241593898,85.406229199487299,85.406229199587301,85.462688611798157,85.462688611898159,85.519049705585175,85.519049705685177,85.575246935165822,85.575246935265824,85.631395005484535,85.631395005584537,85.687469336910382,85.687469337010384,85.799544260869197,85.799544260969199,85.85533182993386,85.855331830033862,85.96680045632904,85.966800456429041,86.078088832097194,86.078088832197196,86.300403400903292,86.300403401003294,86.35587143476549,86.355871434865492,86.411118251949077,86.411118252049079,86.521521761002745,86.521521761102747,86.576555554718027,86.576555554818029,86.631548382381709,86.631548382481711,86.741460298816207,86.741460298916209,86.796305648694144,86.796305648794146,86.851036293627615,86.851036293727617,86.960382878550078,86.96038287865008,87.014892306804924,87.014892306904926,87.069246064063691,87.069246064163693,87.177863453267733,87.177863453367735,87.232061539530434,87.232061539630436,87.28618588690027,87.286185887000272,87.340195529325626,87.340195529425628,87.394156012489077,87.394156012589079,87.501962273871499,87.5019622739715,87.717296227485463,87.717296227585464,87.770904402605183,87.770904402705185,87.931646995861115,87.931646995961117,87.98506672714349,87.985066727243492,88.038388139902011,88.038388140002013,88.144875294423016,88.144875294523018,88.198024649764832,88.198024649864834,88.304184075873067,88.304184075973069,88.410097705671703,88.410097705771705,88.515872050894913,88.515872050994915,88.621507111542698,88.6215071116427,88.727035660456323,88.727035660556325,88.832416731584203,88.832416731684205,88.884976175783038,88.88497617588304,88.937420915037393,88.937420915137395,88.989783722188562,88.989783722288564,89.042072790446852,89.042072790546854,89.198784324225656,89.198784324325658,89.303026539119145,89.303026539219147,89.35506981106785,89.355069811167851,89.407072116964954,89.407072117064956,89.459008877179514,89.459008877279516,89.614729032509672,89.614729032609674,89.666419996414646,89.666419996514648,89.821410956026384,89.821410956126385,89.872995408197212,89.872995408297214,89.924522507895801,89.924522507995803,90.02747019555882,90.027470195658822,90.130229439384493,90.130229439484495,90.181379651408392,90.181379651508394,90.232374192436225,90.232374192536227,90.283327767412459,90.283327767512461,90.385177564892686,90.385177564992688,90.486904464218114,90.486904464318116,90.537702368198282,90.537702368298284,90.588287248710145,90.588287248810147,90.689350497999712,90.689350498099714,90.790241689872573,90.790241689972575,90.891018176800955,90.891018176900957,90.941324488161953,90.941324488261955,90.991589833471366,90.991589833571368,91.192503736923229,91.19250373702323,91.242629797657202,91.242629797757203,91.292714892339575,91.292714892439577,91.392794956390816,91.392794956490818,91.442740766497764,91.442740766597765,91.542476715715594,91.542476715815596,91.641991448254799,91.641991448354801,91.74132593016698,91.741325930266981,91.84054570713468,91.840545707234682,91.890090049935978,91.89009005003598,92.088152716196703,92.088152716296705,92.137615126894801,92.137615126994802,92.285879460834323,92.285879460934325,92.335186200536356,92.335186200636358,92.384443780976483,92.384443781076484,92.43361123610309,92.433611236203092,92.482729531967777,92.482729532067779,92.531774088939599,92.531774089039601,92.580777679859807,92.580777679959809,92.629715725097469,92.629715725197471,92.678440746866841,92.678440746966842,92.727116609374278,92.72711660947428,92.775726926199169,92.775726926299171,92.824296276972461,92.824296277072463,92.969733953351792,92.969733953451794,93.017778938664648,93.01777893876465,93.161799189658723,93.161799189758725,93.209696697185834,93.209696697285835,93.257512272609731,93.257512272709732,93.305270495561416,93.305270495661418,93.400688622940919,93.400688623040921,93.448323947737805,93.448323947837807,93.495910113272771,93.495910113372773,93.591008705449823,93.591008705549825,93.638471972830004,93.638471972930006,93.733291995856206,93.733291995956208,93.827980927517288,93.82798092761729,93.875165625746604,93.875165625846606,93.96940393084013,93.969403930940132,94.063478371727257,94.063478371827259,94.110458239698602,94.110458239798604,94.157397141618333,94.157397141718334,94.297935278226674,94.297935278326676,94.344571031364595,94.344571031464596,94.437711446275316,94.437711446375317,94.484150562365571,94.484150562465572,94.530507746352626,94.530507746452628,94.576799384657136,94.576799384757138,94.623000897648126,94.623000897748128,94.669128671746236,94.669128671846238,94.715215479792761,94.715215479892763,94.807110526734931,94.807110526834933,94.852885992789325,94.852885992889327,94.94428944711234,94.944289447212341,95.035537230439289,95.03553723053929,95.126645729190798,95.1266457292908,95.172126239673688,95.172126239773689,95.217557590894657,95.217557590994659,95.262915203222747,95.262915203322748,95.35354030256542,95.353540302665422,95.444009730912029,95.444009731012031,95.489154319771828,95.48915431987183,95.579377951808851,95.579377951908853,95.624391449303531,95.624391449403532,95.66934759432597,95.669347594425972,95.714115295511064,95.714115295611066,95.758776484962013,95.758776485062015,95.848041511391671,95.848041511491672,95.981795669855572,95.981795669955574,96.026317574731095,96.026317574831097,96.070749354293099,96.070749354393101,96.159555560944867,96.159555561044868,96.203831669510805,96.203831669610807,96.248066812025144,96.248066812125145,96.424892677138033,96.424892677238034,96.469037694338851,96.469037694438853,96.513125359067445,96.513125359167447,96.645322807570651,96.645322807670652,96.733334272821452,96.733334272921454,96.909209725537281,96.909209725637282,97.040809069687185,97.040809069787187,97.128353521949776,97.128353522049778,97.215799655688528,97.21579965578853,97.302983606697069,97.302983606797071,97.346432201020747,97.346432201120749,97.389839829292825,97.389839829392827,97.519988975216194,97.519988975316195,97.563257318912846,97.563257319012848,97.606402764454714,97.606402764554716,97.692587143804275,97.692587143904277,97.86476745866608,97.864767458766082,97.907699880739628,97.90769988083963,97.993490985993873,97.993490986093875,98.03622677101977,98.036226771119772,98.12159182933739,98.121591829437392,98.249487842422937,98.249487842522939,98.291953251508289,98.291953251608291,98.376793944365474,98.376793944465476,98.419144648506361,98.419144648606363,98.503731351843655,98.503731351943657,98.630332837698731,98.630332837798733,98.672388586268113,98.672388586368115,98.756344412410812,98.756344412510813,98.840119987926485,98.840119988026487,99.049227101697738,99.04922710179774,99.132543857435522,99.132543857535524,99.174099820175414,99.174099820275416,99.298685776291933,99.298685776391935,99.423132447833012,99.423132447933014,99.50596580416196,99.505965804261962,99.547325129854187,99.547325129954189,99.629961849135469,99.629961849235471,99.671173697041951,99.671173697141953,99.753507267541423,99.753507267641425,99.917904032599807,99.917904032699809,100.0],[0.0,1e-10,7.5094599243206055,7.5094599244206055,13.021442495126706,13.021442495226706,18.252493980048161,18.252493980148159,23.443985781447083,23.443985781547081,28.427932576539387,28.427932576639385,33.129228299506934,33.129228299606936,37.688911822038754,37.688911822138756,41.675266597867214,41.675266597967216,45.623781676413259,45.623781676513261,49.541337002637313,49.541337002737315,53.417039330352026,53.417039330452027,57.071436761839237,57.071436761939239,60.692581126017657,60.692581126117659,64.266139204219698,64.2661392043197,67.77491113404426,67.774911134144261,74.635362917096657,74.635362917196659,77.967549592936592,77.967549593036594,81.248136681573214,81.248136681673216,84.510377250315329,84.510377250415331,87.745098039215691,87.745098039315693,90.905286091044601,90.905286091144603,94.029354431831209,94.02935443193121,97.024423804609569,97.024423804709571,100.0],[0.0,1e-10,1.3961399188931776,1.3961399189931776,2.6004384110947112,2.6004384111947112,3.4623081181507889,3.4623081182507889,4.2972294790268721,4.2972294791268721,5.035691159633533,5.035691159733533,5.7228893862783643,5.7228893863783643,6.4014949402555166,6.4014949403555166,7.0456374092321958,7.0456374093321958,7.6532533198437616,7.6532533199437616,8.255448763109408,8.255448763209408,8.8462027085397761,8.8462027086397761,9.4211264254712681,9.4211264255712681,9.993247514400041,9.993247514500041,10.564691044910575,10.564691045010575,11.134918050079266,11.134918050179266,11.690793136025242,11.690793136125242,12.23419498745362,12.23419498755362,12.764399848781281,12.764399848881281,13.281145936073903,13.281145936173903,13.787343670718927,13.787343670818927,14.289291266194994,14.289291266294994,14.778442246999301,14.778442247099301,15.26195717368825,15.26195717378825,15.733707222387762,15.733707222487762,16.203409196777592,16.20340919687759,16.667598309491748,16.667598309591746,17.128569019719261,17.12856901981926,17.575880768197255,17.575880768297253,18.014723036447254,18.014723036547252,18.451409437002852,18.45140943710285,19.308890413395329,19.308890413495327,19.726343394305893,19.726343394405891,20.142887830973812,20.142887831073811,20.556275461374934,20.556275461474932,20.9677998061259,20.967799806225898,21.37763025483126,21.377630254931258,21.785289436787263,21.785289436887261,22.192363454654789,22.192363454754787,22.596604046409674,22.596604046509672,22.999936093921917,22.999936094021916,23.400403917211602,23.4004039173116,23.797699535179525,23.797699535279524,24.192654496793534,24.192654496893532,24.582450774995937,24.582450775095936,24.969552218580347,24.969552218680345,25.355668122647312,25.355668122747311,25.738057455413962,25.73805745551396,26.119800027872291,26.119800027972289,26.49310391821254,26.493103918312539,26.862049875999109,26.862049876099107,27.226745694616721,27.226745694716719,27.585420482744976,27.585420482844974,27.942555365377228,27.942555365477226,28.299428464075159,28.299428464175158,28.656116774113574,28.656116774213572,29.009925460874467,29.009925460974465,29.358652459498561,29.358652459598559,29.706455514825056,29.706455514925054,30.043956602383311,30.043956602483309,30.37628360747501,30.376283607575008,30.708348828632388,30.708348828732387,31.039105130118166,31.039105130218164,31.364887536851864,31.364887536951862,31.690577549255803,31.690577549355801,32.014450473174463,32.014450473274465,32.335874947354483,32.335874947454485,32.65603669902778,32.656036699127782,32.972656668060282,32.972656668160283,33.28747494766246,33.287474947762462,33.60081491798848,33.600814918088481,33.911167471652263,33.911167471752265,34.218948383137729,34.218948383237731,34.526467510688867,34.526467510788869,34.82965950379625,34.829659503896252,35.129371310482675,35.129371310582677,35.42735842301358,35.427358423113581,35.724652578071286,35.724652578171288,36.020376029523071,36.020376029623073,36.313574035961416,36.313574036061418,36.605293733123595,36.605293733223597,36.896890237846101,36.896890237946103,37.18776298698549,37.187762987085492,37.769092710780342,37.769092710880344,38.058440953478687,38.058440953578689,38.34717323397863,38.347173234078632,38.63351866095978,38.633518661059782,38.919417515347085,38.919417515447087,39.205116182019907,39.205116182119909,39.490429872318735,39.490429872418737,39.775497177738202,39.775497177838204,40.05737687878095,40.057376878880952,40.338856204394737,40.338856204494739,40.618888018842284,40.618888018942286,40.898473260695994,40.898473260795996,41.17691897248266,41.176918972582662,41.452731445871166,41.452731445971168,41.727127206203356,41.727127206303358,41.998658742312983,41.998658742412985,42.26900455119069,42.269004551290692,42.809295793517151,42.809295793617153,43.077393340370705,43.077393340470707,43.344905723135774,43.344905723235776,43.608044774292203,43.608044774392205,43.86844279366575,43.868442793765752,44.126977527389144,44.126977527489146,44.384157144276053,44.384157144376054,44.637333006873369,44.637333006973371,44.890262484591318,44.89026248469132,45.141344075714073,45.141344075814075,45.389823226548586,45.389823226648588,45.638179184943418,45.63817918504342,45.886365753733692,45.886365753833694,46.13447532724917,46.134475327349172,46.381768750851762,46.381768750951764,46.626736917155391,46.626736917255393,46.87044236095231,46.870442361052312,47.112946678462343,47.112946678562345,47.355327803532695,47.355327803632697,47.596246018381855,47.596246018481857,48.077697471706159,48.077697471806161,48.317352964048595,48.317352964148597,48.555730334829349,48.555730334929351,48.793476344356748,48.793476344456749,49.030960569949819,49.030960570049821,49.267936626729217,49.267936626829218,49.50406573548581,49.504065735585812,49.739825266923368,49.73982526702337,49.974198883414523,49.974198883514525,50.206786209530321,50.206786209630323,50.438618981953077,50.438618982053079,50.667248750944154,50.667248751044156,50.89324528153707,50.893245281637071,51.34493036162371,51.344930361723712,51.570172338523584,51.570172338623586,51.792380701596343,51.792380701696345,52.013665121371503,52.013665121471504,52.233332640375863,52.233332640475865,52.452199408522297,52.452199408622299,52.670126834316179,52.67012683441618,52.887068720592616,52.887068720692618,53.102578494757779,53.102578494857781,53.316101790833095,53.316101790933097,53.528824336050498,53.5288243361505,53.740853923794695,53.740853923894697,53.952267549340498,53.952267549440499,54.163173006072618,54.16317300617262,54.373585693046017,54.373585693146019,54.58245847452342,54.582458474623422,54.790653697582577,54.790653697682579,54.998048169783821,54.998048169883823,55.204580294907302,55.204580295007304,55.40957251453478,55.409572514634782,55.613779382359304,55.613779382459306,55.81596897398407,55.815968974084072,56.018066171279067,56.018066171379068,56.219547406375668,56.21954740647567,56.420859251867711,56.420859251967713,56.621832318150638,56.62183231825064,56.822712990103796,56.822712990203797,57.023439671507361,57.023439671607363,57.223180813393483,57.223180813493485,57.422275194971284,57.422275195071286,57.620076055932451,57.620076056032453,57.817599733904331,57.817599734004332,58.014723036447251,58.014723036547252,58.211615353165776,58.211615353265778,58.407629923751578,58.40762992385158,58.602782147259624,58.602782147359626,58.796101883227429,58.796101883327431,58.989267628645628,58.98926762874563,59.181879008085275,59.181879008185277,59.374197805480676,59.374197805580678,59.566239419886799,59.5662394199868,59.758157841853247,59.758157841953249,59.948967531862571,59.948967531962573,60.139530836992535,60.139530837092536,60.329431982759218,60.329431982859219,60.518655570107661,60.518655570207663,60.706477843454749,60.706477843554751,60.894223121527034,60.894223121627036,61.081614221335236,61.081614221435238,61.268758936264085,61.268758936364087,61.454533135301489,61.454533135401491,61.638012875149855,61.638012875249856,61.817981630467337,61.817981630567338,61.997704000905465,61.997704001005467,62.175932663012468,62.175932663112469,62.531558438258642,62.531558438358644,62.708693767463494,62.708693767563496,62.885059143920337,62.885059144020339,63.235557033864829,63.235557033964831,63.409612552077682,63.409612552177684,63.581358212046524,63.581358212146526,63.752980679575693,63.752980679675694,63.924510752775099,63.924510752875101,64.095917633534825,64.095917633634826,64.267093528470156,64.267093528570157,64.608998745746973,64.608998745846975,64.950164808385708,64.95016480848571,65.120293567583758,65.12029356768376,65.289667773088766,65.289667773188768,65.45893418520906,65.458934185309062,65.797020436855789,65.797020436955791,65.965501497173122,65.965501497273124,66.133428191511882,66.133428191611884,66.29989197562945,66.299891975729452,66.466217168252385,66.466217168352387,66.632295975995959,66.632295976095961,66.797989807365525,66.797989807465527,66.963314061416057,66.963314061516058,67.126035875178346,67.126035875278347,67.286848206125583,67.286848206225585,67.447229363533964,67.447229363633966,67.606070615446328,67.606070615546329,67.922813776918517,67.922813777018519,68.078636814058726,68.078636814158727,68.23429046159437,68.234290461694371,68.389836315745299,68.389836315845301,68.545258977456555,68.545258977556557,68.700296662793804,68.700296662893805,68.854456601998336,68.854456602098338,69.007923583729664,69.007923583829665,69.161036387196916,69.161036387296917,69.313594824685609,69.313594824785611,69.464767347227905,69.464767347327907,69.615770480165637,69.615770480265638,69.917668952656371,69.917668952756372,70.068394902604823,70.068394902704824,70.218905265783846,70.218905265883848,70.368876662039256,70.368876662139257,70.518586274360345,70.518586274460347,70.66811109802191,70.668111098121912,70.817250945309482,70.817250945409484,70.966175205827625,70.966175205927627,71.113990734388636,71.113990734488638,71.261128704531401,71.261128704631403,71.407974092629942,71.407974092729944,71.554696288288781,71.554696288388783,71.700648531199647,71.700648531299649,71.845954013802171,71.845954013902173,71.991043909635266,71.991043909735268,72.280807926817531,72.280807926917532,72.424973879353018,72.42497387945302,72.568970442283955,72.568970442383957,72.712890009940097,72.712890010040098,72.856486197442067,72.856486197542068,72.999697408570043,72.999697408670045,73.142693032928563,73.142693033028564,73.285272882803184,73.285272882903186,73.427714141183159,73.427714141283161,73.569939812793692,73.569939812893693,73.711765108975257,73.711765109075259,73.852882048628672,73.852882048728674,73.993059645929534,73.993059646029536,74.133114050790709,74.133114050890711,74.412791686974174,74.412791687074176,74.691129605376119,74.691129605476121,74.829582508521455,74.829582508621456,74.967927618282062,74.967927618382063,75.105317986635157,75.105317986735159,75.242184787119612,75.242184787219614,75.378035249976705,75.378035250076707,75.648843030503215,75.648843030603217,75.783538564238313,75.783538564338315,76.052390664784909,76.052390664884911,76.186116058057522,76.186116058157523,76.319625864560692,76.319625864660694,76.451903746667071,76.451903746767073,76.583611863739918,76.58361186383992,76.714996600658623,76.714996600758624,76.846057957423156,76.846057957523158,76.976611145374008,76.97661114547401,77.237563530726121,77.237563530826122,77.367916530962489,77.367916531062491,77.498161737814144,77.498161737914145,77.628052766401723,77.628052766501725,77.757558818615308,77.75755881871531,77.886895481224315,77.886895481324316,78.015939561789097,78.015939561889098,78.144675661254666,78.144675661354668,78.273288568280563,78.273288568380565,78.401793681921745,78.401793682021747,78.65838813472017,78.658388134820171,78.784860573106627,78.784860573206629,78.910994232283969,78.91099423238397,79.162891973319603,79.162891973419605,79.288348074078698,79.2883480741787,79.413619386178269,79.41361938627827,79.537581778606253,79.537581778706254,79.661266988044943,79.661266988144945,79.784859803153878,79.78485980325388,80.031891442822158,80.031891442922159,80.155299469271569,80.15529946937157,80.278353317456904,80.278353317556906,80.400898996828559,80.400898996928561,80.523244488485744,80.523244488585746,80.645451388648283,80.645451388748285,81.011117347728373,81.011117347828375,81.132169318768902,81.132169318868904,81.374165467465261,81.374165467565263,81.615422461523536,81.615422461623538,81.734657344078798,81.7346573441788,81.853584245534847,81.853584245634849,82.091268658842409,82.091268658942411,82.209887579199261,82.209887579299263,82.328429504281317,82.328429504381319,82.446678847319134,82.446678847419136,82.564758800752401,82.564758800852402,82.681206454359895,82.681206454459897,82.912900635288011,82.912900635388013,83.258532423865148,83.25853242396515,83.372993599382809,83.372993599482811,83.601731161758607,83.601731161858609,83.715576375077859,83.715576375177861,83.82925219879256,83.829252198892561,84.170125679387056,84.170125679487057,84.283370329562871,84.283370329662873,84.396368594859339,84.396368594959341,84.508781696067317,84.508781696167318,84.620563436021925,84.620563436121927,84.731960199602554,84.731960199702556,84.843110578303808,84.84311057840381,84.953537201421952,84.953537201521954,85.173943875064381,85.173943875164383,85.283631343544442,85.283631343644444,85.61235496977551,85.612354969875511,85.721580466606767,85.721580466706769,85.830605775723541,85.830605775823543,85.939199911301444,85.939199911401445,86.047609258219822,86.047609258319824,86.264289360561946,86.264289360661948,86.480261106375906,86.480261106475908,86.695062524012897,86.695062524112899,86.802024359765042,86.802024359865044,86.908570421033261,86.908570421133263,87.015039487026684,87.015039487126685,87.121154374756017,87.121154374856019,87.227176868155595,87.227176868255597,87.544505193716262,87.544505193816263,87.649788532477757,87.649788532577759,87.754994875964456,87.754994876064458,87.860078027011483,87.860078027111484,88.069874751786486,88.069874751886488,88.174172551030537,88.174172551130539,88.278208566340282,88.278208566440284,88.484956278233199,88.4849562783332,88.690379671399569,88.690379671499571,88.792690992553787,88.792690992653789,88.894170764740167,88.894170764840169,88.995511945431915,88.995511945531916,89.096498947859573,89.096498947959574,89.19722416635291,89.197224166452912,89.297841591461534,89.297841591561536,89.397966246811436,89.397966246911437,89.597707388697557,89.597707388797559,89.696661715870491,89.696661715970492,89.795354259109118,89.79535425920912,89.893892811798139,89.893892811898141,89.992308172047487,89.992308172147489,90.090138368208343,90.090138368308345,90.187614386105125,90.187614386205126,90.28501340872711,90.285013408827112,90.382058253085006,90.382058253185008,90.478872111618514,90.478872111718516,90.575516580547458,90.575516580647459,90.768574532580942,90.768574532680944,90.864787827971,90.864787828071002,91.056429066948155,91.056429067048157,91.151425836996381,91.151425837096383,91.246345611769812,91.246345611869813,91.435830983052568,91.43583098315257,91.719296786756203,91.719296786856205,91.813123228627461,91.813123228727463,91.906687886564399,91.9066878866644,92.186981484946273,92.186981485046275,92.37274028492871,92.372740285028712,92.464641844929972,92.464641845029973,92.648198580053148,92.648198580153149,92.739684365570483,92.739684365670485,92.831031559593185,92.831031559693187,92.922039974406772,92.922039974506774,93.103902813484339,93.103902813584341,93.194541650978877,93.194541651078879,93.285026497923823,93.285026498023825,93.465903797483946,93.465903797583948,93.646473115944872,93.646473116044874,93.736619183680702,93.736619183780704,93.826503467482198,93.826503467582199,93.916295356953938,93.91629535705394,94.005825462491373,94.005825462591375,94.184793279236459,94.184793279336461,94.273846014070116,94.273846014170118,94.362775556464101,94.362775556564102,94.54026506393302,94.540265064033022,94.717246402588273,94.717246402688275,94.805375194124338,94.805375194224339,94.893396192275674,94.893396192375675,95.069176404644054,95.069176404744056,95.24441765008882,95.244417650188822,95.33131451722808,95.331314517328082,95.504954260957007,95.504954261057009,95.591604743216905,95.591604743316907,95.678178230202008,95.678178230302009,95.764659322857355,95.764659322957357,95.93728272895892,95.937282729058921,96.022947671701388,96.02294767180139,96.108504821059128,96.10850482115913,96.279418932060139,96.279418932160141,96.449963465742101,96.449963465842103,96.534504277472493,96.534504277572495,96.618752507158632,96.618752507258634,96.702692755745574,96.702692755845575,96.786217229848603,96.786217229948605,96.869633910566904,96.869633910666906,97.036328680508873,97.036328680608875,97.202823262736359,97.202823262836361,97.285854967080667,97.285854967180668,97.368193713951769,97.36819371405177,97.450455465548075,97.450455465648076,97.614778781026203,97.614778781126205,97.696655556248515,97.696655556348517,97.778424538086099,97.778424538186101,97.941716116881906,97.941716116981908,98.022853737466136,98.022853737566138,98.103513987346602,98.103513987446604,98.264618900338093,98.264618900438094,98.425400433175412,98.425400433275414,98.505537115187238,98.50553711528724,98.58530421988003,98.585304219980031,98.74473063588087,98.744730635980872,98.824205158529423,98.824205158629425,98.903510291573411,98.903510291673413,99.061981966166741,99.061981966266742,99.140979118111517,99.140979118211519,99.219868476671593,99.219868476771595,99.298619243737008,99.29861924383701,99.534424972339451,99.534424972439453,99.612528979096552,99.612528979196554,99.690355802864374,99.690355802964376,99.768059434192523,99.768059434292525,99.845485882531392,99.845485882631394,100.0],[0.0,1e-10,26.739332725022361,26.73933272512236,50.52579750472043,50.525797504820432,60.637461717063125,60.637461717163127,69.893575694061738,69.89357569416174,78.081381167053635,78.081381167153637,85.480038666895538,85.48003866699554,92.709302640732147,92.709302640832149,97.51962706321315,97.519627063313152,100.0],[0.0,1e-10,7.9927311840006947,7.9927311841006947,11.410178869345339,11.410178869445339,14.730613789765757,14.730613789865757,17.985883708832063,17.985883708932061,21.164713501968546,21.164713502068544,24.152264446030195,24.152264446130193,26.953302032159236,26.953302032259234,29.131845621159112,29.13184562125911,31.246913417480645,31.246913417580643,33.143414091241439,33.143414091341441,35.029147776369648,35.02914777646965,36.792571766648592,36.792571766748594,38.510895258624714,38.510895258724716,40.208742245433506,40.208742245533507,41.794428522851561,41.794428522951563,43.318657817959888,43.31865781805989,44.825528090578942,44.825528090678944,46.221116591654813,46.221116591754814,47.585049596814727,47.585049596914729,48.858136135387191,48.858136135487193,50.092206073570395,50.092206073670397,51.293508110124321,51.293508110224323,52.473825505567795,52.473825505667797,53.633693862651675,53.633693862751677,54.782699097275895,54.782699097375897,55.918698798437028,55.918698798537029,57.033054655102042,57.033054655202044,58.096899052340198,58.0968990524402,59.142972424973038,59.14297242507304,60.183428835423832,60.183428835523834,61.173263919216822,61.173263919316824,62.137362604160998,62.137362604261,63.098165272176836,63.098165272276837,64.051002565949176,64.051002566049178,64.986206169154883,64.986206169254885,65.907030898510698,65.907030898610699,66.820645590835753,66.820645590935754,67.676071850971695,67.676071851071697,68.516514967487538,68.51651496758754,69.35022871610802,69.350228716208022,70.167750781568017,70.167750781668019,70.974231190318065,70.974231190418067,71.753780394082767,71.753780394182769,72.489204171219285,72.489204171319287,73.192725251170216,73.192725251270218,73.893403516520465,73.893403516620467,74.582586922833102,74.582586922933103,75.265700164636044,75.265700164736046,75.916169105444524,75.916169105544526,76.543991663274511,76.543991663374513,77.170276079871286,77.170276079971288,77.775108919626078,77.77510891972608,78.369339571594708,78.369339571694709,78.945675598323206,78.945675598423207,79.515103722906048,79.51510372300605,80.079024752537791,80.079024752637793,80.600138762312682,80.600138762412683,81.114056468460689,81.11405646856069,81.624897892142243,81.624897892242245,82.133171169300454,82.133171169400455,82.640675375842065,82.640675375942067,83.129927888642968,83.129927888742969,83.604664193555294,83.604664193655296,84.066285097773601,84.066285097873603,84.523676113600516,84.523676113700517,84.966907990039431,84.966907990139433,85.404426770469229,85.404426770569231,85.837729395911509,85.837729396011511,86.242535208327496,86.242535208427498,86.64128458963765,86.641284589737651,87.039003965657699,87.039003965757701,87.434251328981489,87.434251329081491,87.821684385504341,87.821684385604343,88.194299099253513,88.194299099353515,88.556531359678402,88.556531359778404,88.898973785129357,88.898973785229359,89.230402020678113,89.230402020778115,89.540529746827445,89.540529746927447,89.839423548612686,89.839423548712688,90.125682618839264,90.125682618939265,90.396368009079424,90.396368009179426,90.65954122740375,90.659541227503752,90.921437239168327,90.921437239268329,91.177180686,91.177180686100002,91.432196262426672,91.432196262526674,91.679356331840793,91.679356331940795,91.921709709901066,91.921709710001068,92.160052934031867,92.160052934131869,92.398313757739459,92.39831375783946,92.62616466131503,92.626164661415032,92.851859420483322,92.851859420583324,93.061568497549132,93.061568497649134,93.268256225763977,93.268256225863979,93.473859015073231,93.473859015173232,93.671304162484844,93.671304162584846,93.868639442665511,93.868639442765513,94.065754988384285,94.065754988484287,94.252982483318036,94.252982483418037,94.431791401680641,94.431791401780643,94.60856777627076,94.608567776370762,94.778930651254498,94.7789306513545,94.943841364902582,94.943841365002584,95.108408743453978,95.10840874355398,95.270668910155521,95.270668910255523,95.431583203277995,95.431583203377997,95.592373895765661,95.592373895865663,95.748426563918827,95.748426564018828,95.900990947489504,95.900990947589506,96.052484125558465,96.052484125658466,96.196698599577346,96.196698599677347,96.33863332855411,96.338633328654112,96.470144403994993,96.470144404094995,96.600529340318687,96.600529340418689,96.730337473679938,96.73033747377994,96.85564105057243,96.855641050672432,96.980051956213515,96.980051956313517,97.098118029267525,97.098118029367527,97.216060501686741,97.216060501786743,97.332066564160542,97.332066564260543,97.447537023883484,97.447537023983486,97.677695139308909,97.677695139408911,97.791009454624557,97.791009454724559,97.901618289378206,97.901618289478208,98.010304447590315,98.010304447690316,98.118317669012882,98.118317669112884,98.219120853404704,98.219120853504705,98.314444409653149,98.31444440975315,98.407584354686577,98.407584354786579,98.500106296545937,98.500106296645939,98.589126220418933,98.589126220518935,98.767083667741716,98.767083667841717,98.854235848688646,98.854235848788647,98.94075629305766,98.940756293157662,99.026988335945433,99.026988336045434,99.109004223845687,99.109004223945689,99.190649309841518,99.19064930994152,99.270591453757703,99.270591453857705,99.346688244590823,99.346688244690824,99.422441700327241,99.422441700427242,99.497851820966957,99.497851821066959,99.572863672894485,99.572863672994487,99.647408589090517,99.647408589190519,99.718753622185275,99.718753622285277,99.789315851259545,99.789315851359547,99.85972701289127,99.859727012991272,99.929959640272713,99.929959640372715,100.0],[0.0,1e-10,8.7724049418185359,8.7724049419185359,13.184756936983081,13.184756937083081,14.668460337598699,14.668460337698699,16.08740319034008,16.087403190440078,17.505855432870295,17.505855432970293,18.825204412744483,18.825204412844482,20.103342134880521,20.103342134980519,21.341053575616279,21.341053575716277,22.476031238133366,22.476031238233364,23.552822529605873,23.552822529705871,24.608615704040371,24.608615704140369,25.623197620736718,25.623197620836716,26.63120536060341,26.631205360703408,27.599571795407691,27.599571795507689,28.565681423240598,28.565681423340596,29.516582134527283,29.516582134627281,30.465716649053761,30.465716649153759,31.392773704077658,31.392773704177657,32.29942137431695,32.299421374416951,33.196158718290633,33.196158718390635,34.078766488182673,34.078766488282675,34.955977545751857,34.955977545851859,35.818175930859283,35.818175930959285,37.51863092276912,37.518630922869121,38.35600443119143,38.356004431291431,39.183958223559301,39.183958223659303,39.996604977338713,39.996604977438714,40.803560652668573,40.803560652768574,41.609731351660571,41.609731351760573,42.411682802836509,42.411682802936511,43.204214537958023,43.204214538058025,43.988700265616366,43.988700265716368,44.772302894894615,44.772302894994617,45.552765618821375,45.552765618921377,46.330382803523364,46.330382803623365,47.104271350620472,47.104271350720474,47.855101217792665,47.855101217892667,48.604263010246882,48.604263010346884,49.352737948405469,49.352737948505471,50.091596926425147,50.091596926525149,50.823881727615174,50.823881727715175,51.540761368174508,51.540761368274509,52.249693123312916,52.249693123412918,52.953915020424105,52.953915020524107,53.656861330986253,53.656861331086255,54.358728299083836,54.358728299183838,55.056179775280896,55.056179775380897,55.751668810633291,55.751668810733293,56.427729681623411,56.427729681723413,57.099080694586313,57.099080694686315,57.767880534451137,57.767880534551139,58.435208543682464,58.435208543782466,59.760346724048439,59.760346724148441,60.412760182860239,60.412760182960241,61.064683031460874,61.064683031560875,61.715820903723632,61.715820903823634,62.364015114719386,62.364015114819388,63.010246884870462,63.010246884970464,63.654516214176866,63.654516214276867,64.290052681724475,64.290052681824477,64.922154877793901,64.922154877893902,65.552000266891952,65.552000266991953,66.180668191483207,66.180668191583209,66.805116868258409,66.805116868358411,67.429074934822438,67.42907493492244,68.049206241739356,68.049206241839357,68.667865718022767,68.667865718122769,69.272689986351224,69.272689986451226,69.872804396652469,69.872804396752471,70.469288291391067,70.469288291491068,71.064202233453926,71.064202233553928,71.657546222841049,71.65754622294105,72.243531059060643,72.243531059160645,72.826964722182154,72.826964722282156,73.408534066501232,73.408534066601234,73.988631580186805,73.988631580286807,74.56715914119664,74.567159141296642,75.14421487157297,75.144214871672972,75.718326940682289,75.718326940782291,76.29057469098916,76.290574691089162,76.858603193479993,76.858603193579995,77.423884278788265,77.423884278888266,77.987693533463045,77.987693533563046,78.551012177926665,78.551012178026667,79.112564625630071,79.112564625730073,79.673233974953362,79.673233975053364,80.233412714065494,80.233412714165496,80.791727134375193,80.791727134475195,81.348864090178083,81.348864090278084,81.904234849220771,81.904234849320773,82.458820631925576,82.458820632025578,83.011542095827949,83.01154209592795,83.557689382900662,83.557689383000664,84.647825272116947,84.647825272216949,85.191127019964895,85.191127020064897,85.733349425348266,85.733349425448267,86.268801409817499,86.268801409917501,86.800524756681867,86.800524756781869,87.328323221856877,87.328323221956879,87.854453612313918,87.85445361241392,88.903378243792062,88.903378243892064,89.42558375255976,89.425583752659762,89.942981281258,89.942981281358001,90.97473455534525,90.974734555445252,91.485656029256063,91.485656029356065,92.506615878697602,92.506615878797604,93.016261766059387,93.016261766159388,93.522865870111929,93.52286587021193,94.027900021488733,94.027900021588735,95.036398371566591,95.036398371666593,95.53966632618318,95.539666326283182,96.039892497490527,96.039892497590529,97.037597422922687,97.037597423022689,97.533113736202807,97.533113736302809,98.027354462933914,98.027354463033916,99.014952818015999,99.014952818116001,100.0],[0.0,1e-10,1.2379785271943164,1.2379785272943165,1.9755425953904253,1.9755425954904253,2.608386278257024,2.608386278357024,3.1785113818717736,3.1785113819717736,3.7096859870856798,3.7096859871856798,4.2325961192801875,4.2325961193801875,4.7553085959166834,4.7553085960166834,5.238662909563935,5.238662909663935,5.7206830481946014,5.7206830482946014,6.1940063422727176,6.1940063423727176,6.6224000573201121,6.6224000574201121,7.0475324556602992,7.0475324557602992,7.4582977656274512,7.4582977657274512,7.8597979713127666,7.8597979714127666,8.2566038574952838,8.2566038575952838,8.6497654693269457,8.6497654694269457,9.0414940783630176,9.0414940784630176,9.4079721898629884,9.4079721899629885,9.7729308242607367,9.7729308243607367,10.137679449628099,10.137679449728099,10.489283980387627,10.489283980487627,10.837355418047682,10.837355418147682,11.181103140376212,11.181103140476212,11.524554379367725,11.524554379467725,11.865102552350928,11.865102552450928,12.200857578052327,12.200857578152327,12.536340827361458,12.536340827461459,12.871194049579426,12.871194049679426,13.202798308562562,13.202798308662562,13.532660727940714,13.532660728040714,13.859916564647573,13.859916564747573,14.186406486067137,14.186406486167137,14.510734549820937,14.510734549920937,14.833184885773617,14.833184885873617,15.152645681411359,15.152645681511359,15.471822347184458,15.471822347284458,15.787132376103937,15.787132376203937,16.099736994573121,16.099736994673119,16.411093912332348,16.411093912432346,16.720931352989354,16.720931353089352,17.029706395022046,17.029706395122044,17.336727243977375,17.336727244077373,17.642772168615014,17.642772168715013,17.946334045305125,17.946334045405123,18.248759402536663,18.248759402636662,18.550270602812393,18.550270602912391,18.849409936391972,18.84940993649197,19.147968656769887,19.147968656869885,19.446193833393661,19.446193833493659,19.741392409285364,19.741392409385362,20.036195674061045,20.036195674161043,20.328985322839472,20.32898532293947,20.61957605353501,20.619576053635008,20.906151905708416,20.906151905808414,21.18928113908898,21.189281139188978,21.470359696055166,21.470359696155164,21.750351147452282,21.75035114755228,22.029107251611819,22.029107251711817,22.305491489075205,22.305491489175203,22.580529198049632,22.58052919814963,22.854640396595876,22.854640396695874,23.127837438186312,23.12783743828631,23.400515633936966,23.400515634036964,23.672378500510817,23.672378500610815,23.943401330963113,23.943401331063111,24.214177091967894,24.214177092067892,24.483322194619074,24.483322194719072,24.749588938206696,24.749588938306694,25.011593733824672,25.01159373392467,25.272882028044855,25.272882028144853,25.533873838928017,25.533873839028015,25.793827958131612,25.79382795823161,26.049013636998154,26.049013637098152,26.558767321112455,26.558767321212454,26.812495290238658,26.812495290338656,27.065704413525076,27.065704413625074,27.317801724297674,27.317801724397672,27.567996600324403,27.567996600424401,27.816980836058303,27.816980836158301,28.063976162739703,28.063976162839701,28.310724419973589,28.310724420073587,28.555273759124585,28.555273759224583,28.799069536460657,28.799069536560655,29.042148812398935,29.042148812498933,29.285116907085829,29.285116907185827,29.5277391045462,29.527739104646198,29.769508912412647,29.769508912512645,30.009573941091233,30.009573941191231,30.248292441280856,30.248292441380855,30.48687505327435,30.486875053374348,30.724209964557886,30.724209964657884,30.961026030001644,30.961026030101642,31.197767974611143,31.197767974711141,31.434188728938874,31.434188729038873,31.906499038282174,31.906499038382172,32.142240351629241,32.142240351729242,32.377722242056407,32.377722242156409,32.61152406024047,32.611524060340471,32.84425112632784,32.844251126427842,33.076891718108584,33.076891718208586,33.309272886969431,33.309272887069433,33.539825741918669,33.539825742018671,33.770218001727017,33.770218001827018,33.999374914297782,33.999374914397784,34.228185929642031,34.228185929742033,34.45609514150285,34.456095141602852,34.683151963769738,34.68315196386974,34.90907226657805,34.909072266678052,35.133917817289671,35.133917817389673,35.358368056885269,35.35836805698527,35.582497106199099,35.582497106299101,35.805687291612365,35.805687291712367,36.028037440904079,36.028037441004081,36.249979925607391,36.249979925707393,36.471218262385285,36.471218262485287,36.69201187415765,36.692011874257652,36.912224872728352,36.912224872828354,37.131993146293524,37.131993146393526,37.351329048325546,37.351329048425548,37.570430234382428,37.57043023448243,37.789222583629922,37.789222583729924,38.007199603700606,38.007199603800608,38.224781312655267,38.224781312755269,38.658894685412648,38.658894685512649,38.874351597118675,38.874351597218677,39.089660267156191,39.089660267256193,39.304400677464422,39.304400677564423,39.518671655822374,39.518671655922375,39.729755438307379,39.729755438407381,39.940357435369719,39.940357435469721,40.150848251180683,40.150848251280685,40.361166118378385,40.361166118478387,40.571249269600948,40.571249269700949,40.780467677757201,40.780467677857203,40.989290774797432,40.989290774897434,41.197076180158099,41.197076180258101,41.404318032734231,41.404318032834233,41.610114529042399,41.6101145291424,41.815033928811879,41.81503392891188,42.019780379968104,42.019780380068106,42.224378589455817,42.224378589555819,42.426580225302629,42.426580225402631,42.628596559063801,42.628596559163803,43.032283329359636,43.032283329459638,43.233373152692621,43.233373152792623,43.430509864865364,43.430509864965366,43.626608885358543,43.626608885458545,43.822522603766082,43.822522603866084,44.018238666615609,44.018238666715611,44.21372001348999,44.213720013589992,44.40807719437818,44.408077194478182,44.601619046089567,44.601619046189569,44.794530870709792,44.794530870809794,44.986689133515092,44.986689133615094,45.178439731731991,45.178439731831993,45.369486182023472,45.369486182123474,45.560409097591197,45.560409097691199,45.751196124962782,45.751196125062783,45.941686668997356,45.941686669097358,46.132053678308168,46.13205367840817,46.322099497337206,46.322099497437208,46.51173765177785,46.511737651877851,46.700597537458819,46.700597537558821,46.887814411313805,46.887814411413807,47.074635974052768,47.07463597415277,47.26086457011769,47.260864570217691,47.446809036317973,47.446809036417974,47.818364424964393,47.818364425064395,48.189079777489255,48.189079777589257,48.373937138120468,48.373937138220469,48.558559782776541,48.558559782876543,48.743108306598359,48.74310830669836,48.92755800264117,48.927558002741172,49.11183475007072,49.111834750170722,49.295098512765463,49.295098512865465,49.478226387264066,49.478226387364067,49.661033071480894,49.661033071580896,49.842382045957386,49.842382046057388,50.023261588483599,50.023261588583601,50.203696406004283,50.203696406104285,50.564047195205866,50.564047195305868,50.743913752997258,50.74391375309726,50.923520887868769,50.92352088796877,51.102893306765132,51.102893306865134,51.281685112459833,51.281685112559835,51.638823998843712,51.638823998943714,51.8165039920246,51.816503992124602,52.171481020742718,52.17148102084272,52.348098615299278,52.34809861539928,52.700926139824013,52.700926139924015,52.875653653107086,52.875653653207088,53.050158803887392,53.050158803987394,53.223638616460505,53.223638616560507,53.396624290138597,53.396624290238599,53.568399323523856,53.568399323623858,53.739161372174294,53.739161372274296,53.909799886100984,53.909799886200986,54.08035192572104,54.080351925821041,54.250817491034468,54.25081749113447,54.420270071613082,54.420270071713084,54.589092625100527,54.589092625200529,54.926231239708017,54.926231239808018,55.094263170963409,55.09426317106341,55.261875084158028,55.26187508425803,55.42919051401563,55.429190514115632,55.595443545248919,55.595443545348921,55.761041842446282,55.761041842546284,55.926442484085641,55.926442484185642,56.091484875026097,56.091484875126099,56.421347294404249,56.421347294504251,56.585870839504921,56.585870839604922,56.749887892238192,56.749887892338194,56.913793763720072,56.913793763820074,57.077600807422954,57.077600807522956,57.240827237924172,57.240827238024174,57.403077744107705,57.403077744207707,57.565217069039853,57.565217069139855,57.726701659936083,57.726701660036085,58.04920140977827,58.049201409878272,58.209722429829192,58.209722429929194,58.369625776261323,58.369625776361325,58.529467355331576,58.529467355431578,58.688975390647677,58.688975390747679,58.846605698162669,58.846605698262671,59.004050703592021,59.004050703692023,59.161372174297611,59.161372174397613,59.318434222083312,59.318434222183313,59.474952717084484,59.474952717184486,59.63123649611051,59.631236496210512,59.787359679995653,59.787359680095655,59.943235794433278,59.94323579453328,60.0982965796941,60.098296579794102,60.252504975360999,60.252504975461001,60.714957213748427,60.714957213848429,60.868943246912558,60.86894324701256,61.022496908543538,61.022496908643539,61.175309361831971,61.175309361931973,61.327837685255759,61.32783768535576,61.479464205196116,61.479464205296118,61.630596586241445,61.630596586341447,61.781407777005001,61.781407777105002,61.932107786517172,61.932107786617173,62.082659554360838,62.08265955446084,62.233124847897869,62.233124847997871,62.383009528233245,62.383009528333247,62.532820087734358,62.532820087834359,62.682383577787959,62.682383577887961,62.981337609281908,62.98133760938191,63.129727519459806,63.129727519559808,63.277746825466437,63.277746825566439,63.425160811326649,63.42516081142665,63.571475338145426,63.571475338245428,63.717271019124411,63.717271019224412,64.0074787921763,64.007478792276302,64.151594400912174,64.151594401012176,64.439096763513774,64.439096763613776,64.582409396545231,64.582409396645232,64.866959279249002,64.866959279349004,65.008085347669947,65.008085347769949,65.148939639698625,65.148939639798627,65.289658043531162,65.289658043631164,65.430203498750444,65.430203498850446,65.570180694240435,65.570180694340436,65.709886113338172,65.709886113438174,65.849430937295011,65.849430937395013,65.988913993889966,65.988913993989968,66.128026446313669,66.128026446413671,66.267052424430716,66.267052424530718,66.405670737959383,66.405670738059385,66.54402962856814,66.544029628668142,66.682264984453155,66.682264984553157,66.820389159086787,66.820389159186789,66.958426859413777,66.958426859513779,67.096155722931385,67.096155723031387,67.232043919064992,67.232043919164994,67.36746268324832,67.367462683348322,67.501571979359824,67.501571979459825,67.635075955324908,67.635075955424909,67.768406982676723,67.768406982776725,67.901120336409761,67.901120336509763,68.033080128327867,68.033080128427869,68.164928738994604,68.164928739094606,68.296159676042535,68.296159676142537,68.557991523047249,68.557991523147251,68.688580079531661,68.688580079631663,68.818723911010522,68.818723911110524,69.078813918410262,69.078813918510264,69.208710680441612,69.208710680541614,69.338434493859708,69.33843449395971,69.467800056578909,69.467800056678911,69.596844429016329,69.596844429116331,69.725444076448227,69.725444076548229,69.853648412764102,69.853648412864104,69.981519205325824,69.981519205425826,70.10919234232955,70.109192342429552,70.364081537859064,70.364081537959066,70.491186415133498,70.4911864152335,70.61795774865378,70.617957748753781,70.744037287721014,70.744037287821016,70.995924589463229,70.995924589563231,71.246144172434711,71.246144172534713,71.370222448977074,71.370222449077076,71.494214251212796,71.494214251312798,71.618144286086661,71.618144286186663,71.741913725819629,71.74191372591963,71.865448449577443,71.865448449677444,71.988871992083901,71.988871992183903,72.112221413756089,72.112221413856091,72.235410240287393,72.235410240387395,72.358475532094943,72.358475532194944,72.481269047510224,72.481269047610226,72.726720190144647,72.726720190244649,72.848599548604113,72.848599548704115,72.969811819555304,72.969811819655305,73.212063412844401,73.212063412944403,73.332979200458567,73.332979200558569,73.453759099876592,73.453759099976594,73.814789330058844,73.814789330158845,73.934123873208904,73.934123873308906,74.172669424785269,74.172669424885271,74.291806312377318,74.29180631247732,74.41073319093897,74.410733191038972,74.529116516716101,74.529116516816103,74.64740101471422,74.647401014814221,74.764450165474756,74.764450165574758,74.880844582199387,74.880844582299389,74.996139539882563,74.996139539982565,75.11108860033923,75.111088600439231,75.224159932994766,75.224159933094768,75.450092589275457,75.450092589375458,75.562916852483482,75.562916852583484,75.675605227495367,75.675605227595369,75.900710201126884,75.900710201226886,76.012657367796223,76.012657367896225,76.123529782368877,76.123529782468879,76.344768119146764,76.344768119246766,76.455084627462512,76.455084627562513,76.675507635063596,76.675507635163598,76.784317019749494,76.784317019849496,76.892656972485113,76.892656972585115,77.000626321049452,77.000626321149454,77.216441483454375,77.216441483554377,77.323916693123692,77.323916693223694,77.431330135431111,77.431330135531113,77.538545922180532,77.538545922280534,77.645613467261441,77.645613467361443,77.752545124146224,77.752545124246225,77.85932853936248,77.859328539462481,78.072796542016007,78.072796542116009,78.179369948201895,78.179369948301897,78.28523920646235,78.285239206562352,78.602711093047589,78.60271109314759,78.708259161026277,78.708259161126279,78.813708401225952,78.813708401325954,78.918626442113478,78.91862644221348,79.023272706608736,79.023272706708738,79.127461892626087,79.127461892726089,79.335482013961894,79.335482014061895,79.439226474973722,79.439226475073724,79.646431267132726,79.646431267232728,79.956639311960998,79.956639312061,80.162979361053701,80.162979361153702,80.368936452502751,80.368936452602753,80.471507333638883,80.471507333738884,80.573707610603734,80.573707610703735,80.675660818121059,80.675660818221061,80.777404016608003,80.777404016708005,80.879073094260704,80.879073094360706,81.08231242178708,81.082312421887082,81.183820904298884,81.183820904398885,81.285144084725061,81.285144084825063,81.386356083899841,81.386356083999843,81.487370427516623,81.487370427616625,81.588075934323996,81.588075934423998,81.789215171546488,81.789215171646489,81.889315358207455,81.889315358307456,81.989254949727538,81.98925494982754,82.288740180533651,82.288740180633653,82.388296814410083,82.388296814510085,82.487223421195353,82.487223421295354,82.684953100042122,82.684953100142124,82.783694404741752,82.783694404841754,82.882163933049128,82.88216393314913,82.980386391908965,82.980386392008967,83.274819052513379,83.274819052613381,83.372621493312451,83.372621493412453,83.568065779769711,83.568065779869713,83.66547290945276,83.665472909552761,83.762781211356796,83.762781211456797,83.859360658390671,83.859360658490672,83.955532440836137,83.955532440936139,84.051284205220824,84.051284205320826,84.146875374464628,84.14687537456463,84.337267090720189,84.337267090820191,84.431845275229193,84.431845275329195,84.526225804180172,84.526225804280173,84.620235728959869,84.620235729059871,84.714109765543441,84.714109765643443,84.901326639398434,84.901326639498436,84.994298872498575,84.994298872598577,85.086900501427451,85.086900501527452,85.179428009522056,85.179428009622058,85.364371844459896,85.364371844559898,85.456627576162248,85.45662757626225,85.640941384008926,85.640941384108928,85.82490929462908,85.824909294729082,86.008543661495096,86.008543661595098,86.191683889466077,86.191683889566079,86.28267956698609,86.282679567086092,86.373316993807208,86.37331699390721,86.554455959253303,86.554455959353305,86.644154522173864,86.644154522273865,86.733778964260168,86.73377896436017,86.823230457733217,86.823230457833219,86.912607830371996,86.912607830471998,87.001626952311895,87.001626952411897,87.090547246472781,87.090547246572783,87.357061059507913,87.357061059607915,87.534271620738522,87.534271620838524,87.622512473918732,87.622512474018734,87.710617438902815,87.710617439002817,87.886518532061586,87.886518532161588,87.974030530371635,87.974030530471637,88.061369580068416,88.061369580168417,88.148560388096683,88.148560388196685,88.322756702067608,88.322756702167609,88.495680608383807,88.495680608483809,88.581401353199368,88.58140135329937,88.666936795929288,88.66693679602929,88.752039867126058,88.75203986722606,88.837031757071443,88.837031757171445,88.921776577569304,88.921776577669306,89.006410216815794,89.006410216915796,89.090932674810901,89.090932674910903,89.259396977599451,89.259396977699453,89.343239994613882,89.343239994713883,89.510629545305747,89.510629545405749,89.59401548384227,89.594015483942272,89.844099178617626,89.844099178717627,89.927287461596137,89.927287461696139,90.010413977212778,90.01041397731278,90.176506413305191,90.176506413405193,90.342314719532936,90.342314719632938,90.424811208058415,90.424811208158417,90.506788850744115,90.506788850844117,90.588297061479523,90.588297061579524,90.669101124289526,90.669101124389528,90.911426838412879,90.911426838512881,90.991983831775357,90.991983831875359,91.072404936941695,91.072404937041696,91.152245428906383,91.152245429006385,91.23170296322742,91.231702963327422,91.311049316297073,91.311049316397074,91.469630841184994,91.469630841284996,91.627767641067393,91.627767641167395,91.706471613573498,91.7064716136735,91.785076758300605,91.785076758400606,91.86362013566584,91.863620135765842,91.941928797055922,91.941928797155924,92.019965682053737,92.019965682153739,92.097891385800182,92.097891385900184,92.253347482177034,92.253347482277036,92.408321793131222,92.408321793231224,92.485679237148375,92.485679237248377,92.562740197828504,92.562740197928505,92.639677623784877,92.639677623884879,92.716256799042355,92.716256799142357,92.868723355104265,92.868723355204267,93.019966917400978,93.01996691750098,93.095051322500979,93.09505132260098,93.170061606766737,93.170061606866739,93.319872166267857,93.319872166367858,93.394375958166208,93.39437595826621,93.468570913255149,93.468570913355151,93.542654687092721,93.542654687192723,93.690439277124213,93.690439277224215,93.764004205121992,93.764004205221994,93.910825224308169,93.910825224408171,93.983636590491045,93.983636590591047,94.056386189312022,94.056386189412024,94.128950486047373,94.128950486147374,94.201453015420839,94.20145301552084,94.273325517703142,94.273325517803144,94.41683580629261,94.416835806392612,94.488263583569392,94.488263583669394,94.559580179594775,94.559580179694777,94.630810301313545,94.630810301413547,94.701657465388664,94.701657465488665,94.842993542839992,94.842993542939993,94.913173619406805,94.913173619506807,94.983020152219481,94.983020152319483,95.122404381035437,95.122404381135439,95.261405652207756,95.261405652307758,95.469598722156817,95.469598722256819,95.538790520933574,95.538790521033576,95.677038230290961,95.677038230390963,95.745970606147836,95.745970606247838,95.952594785105177,95.952594785205179,96.021144203318386,96.021144203418388,96.158119505021062,96.158119505121064,96.226508328093402,96.226508328193404,96.363150086041941,96.363150086141943,96.431316546611498,96.4313165467115,96.567377691358374,96.567377691458375,96.702771748596959,96.702771748696961,96.837646959995752,96.837646960095753,96.972361576253661,96.972361576353663,97.03952740556079,97.039527405660792,97.173723175978921,97.173723176078923,97.240641935838539,97.240641935938541,97.307461867919145,97.307461868019146,97.37409649791411,97.374096498014111,97.573716258034395,97.573716258134397,97.639992637330465,97.639992637430467,97.706096068013281,97.706096068113283,97.771890661886701,97.771890661986703,97.903306901020272,97.903306901120274,97.968755597667169,97.968755597767171,98.099430628458194,98.099430628558196,98.16444695357194,98.164446953671941,98.294059585738651,98.294059585838653,98.423215139427469,98.423215139527471,98.487675558284295,98.487675558384296,98.552049502834507,98.552049502934508,98.616139317520066,98.616139317620068,98.680068537064741,98.680068537164743,98.743824807996162,98.743824808096164,98.871226168607606,98.871226168707608,98.934846551342886,98.934846551442888,98.998368106299154,98.998368106399155,99.125275328015576,99.125275328115578,99.188623934358588,99.18862393445859,99.251861359450217,99.251861359550219,99.314839361621964,99.314839361721965,99.377681475597569,99.377681475697571,99.503019806322257,99.503019806422259,99.565417195292341,99.565417195392342,99.627691049538655,99.627691049638656,99.751991688583786,99.751991688683788,100.0],[0.0,1e-10,23.613615844606208,23.613615844706207,27.983357950445942,27.98335795054594,31.942639609248982,31.94263960934898,35.752452582152529,35.752452582252531,39.178644686292358,39.17864468639236,41.955634422656303,41.955634422756305,44.358522746589806,44.358522746689808,46.17375463223545,46.173754632335452,47.850472761888931,47.850472761988932,49.360449303228684,49.360449303328686,50.415994575420918,50.415994575520919,51.403760940764052,51.403760940864053,52.288777618700443,52.288777618800445,53.165880304169292,53.165880304269294,53.969339417726587,53.969339417826589,54.764601221663561,54.764601221763563,55.520359170598482,55.520359170698484,56.249853619471068,56.24985361957107,56.907300516392731,56.907300516492732,57.563123061638478,57.56312306173848,58.192493228720046,58.192493228820048,58.81076680731789,58.810766807417892,59.372273072404532,59.372273072504534,59.914919859021381,59.914919859121383,60.417345053849147,60.417345053949148,60.902402907211744,60.902402907311746,61.385165891636852,61.385165891736854,61.79566411429392,61.795664114393922,62.201808696703324,62.201808696803326,62.530494369543781,62.530494369643783,62.822679349201614,62.822679349301616,63.113145538132599,63.113145538232601,63.354994503647234,63.354994503747236,63.549387846071902,63.549387846171904,63.743592310394718,63.743592310494719,63.927229044918988,63.92722904501899,64.107579300471059,64.107579300571061,64.283547584060202,64.283547584160203,64.454661700431771,64.454661700531773,64.623084303851982,64.623084303951984,64.787719901330078,64.78771990143008,64.942779379044353,64.942779379144355,65.096205061177614,65.096205061277615,65.247571972000713,65.247571972100715,65.398003936219638,65.39800393631964,65.547387626973304,65.547387627073306,65.693088194740881,65.693088194840882,65.837863259809382,65.837863259909383,65.979087416563104,65.979087416663106,66.120075475689504,66.120075475789506,66.260298578503409,66.260298578603411,66.398491241722411,66.398491241822413,66.53656113417523,66.536561134275232,66.673648860498417,66.673648860598419,66.810113289085493,66.810113289185495,66.94344234118185,66.943442341281852,67.076261422403206,67.076261422503208,67.206804522497265,67.206804522597267,67.336450451607547,67.336450451707549,67.465576965937728,67.46557696603773,67.594231285013279,67.594231285113281,67.722810052848089,67.722810052948091,67.850831630282443,67.850831630382444,67.975538397029325,67.975538397129327,68.095485435609561,68.095485435709563,68.213864785944452,68.213864786044454,68.331158087193685,68.331158087293687,68.447865866327191,68.447865866427193,68.563742581812548,68.56374258191255,68.79465550523004,68.794655505330041,68.909125078856604,68.909125078956606,69.02163976412902,69.021639764229022,69.13410722987598,69.134107229975982,69.246026949127568,69.24602694922757,69.357531136555096,69.357531136655098,69.467609294313633,69.467609294413634,69.577621344736528,69.57762134483653,69.687491736583041,69.687491736683043,69.795860547519837,69.795860547619839,69.904031036449695,69.904031036549696,70.011937096036959,70.011937096136961,70.119644833617286,70.119644833717288,70.226436512403623,70.226436512503625,70.333180971664504,70.333180971764506,70.439443791765669,70.439443791865671,70.544252250482586,70.544252250582588,70.648409079748106,70.648409079848108,70.752471469962714,70.752471470062716,70.959821850174336,70.959821850274338,71.166331722832723,71.166331722932725,71.269430834727885,71.269430834827887,71.37244495147722,71.372444951577222,71.475260746219604,71.475260746319606,71.577519350561531,71.577519350661532,71.679645740232175,71.679645740332177,71.883294109647522,71.883294109747524,71.983068966950114,71.983068967050116,72.082078867940211,72.082078868040213,72.181003773784468,72.18100377388447,72.378315282882738,72.37831528298274,72.476390237268674,72.476390237368676,72.57441797212914,72.574417972229142,72.770303451558433,72.770303451658435,72.866839049414295,72.866839049514297,72.963081886212279,72.963081886312281,73.058389776406102,73.058389776506104,73.152583285799011,73.152583285899013,73.340347006848717,73.340347006948718,73.433322252484686,73.433322252584688,73.618488899633959,73.618488899733961,73.710642525526879,73.710642525626881,73.802578941602675,73.802578941702677,73.89430759176642,73.894307591866422,73.985327949048241,73.985327949148243,74.075998881841642,74.075998881941644,74.166575375584102,74.166575375684104,74.256623010641391,74.256623010741393,74.346613982268124,74.346613982368126,74.436104426924956,74.436104427024958,74.525443769100292,74.525443769200294,74.614707560034901,74.614707560134903,74.703886355823684,74.703886355923686,74.792621288073107,74.792621288173109,74.881186230030863,74.881186230130865,74.969694508558064,74.969694508658066,75.058051684603797,75.058051684703798,75.146219982547663,75.146219982647665,75.234312729250803,75.234312729350805,75.321961612414583,75.321961612514585,75.409440505286696,75.409440505386698,75.496296100422711,75.496296100522713,75.582849490595763,75.582849490695764,75.668798470842887,75.668798470942889,75.75459634860853,75.754596348708532,75.926041001658348,75.92604100175835,76.011187249972608,76.011187250072609,76.096040737229004,76.096040737329005,76.180223707223831,76.180223707323833,76.264331125977918,76.26433112607792,76.432168207282388,76.432168207382389,76.515576777059621,76.515576777159623,76.598796468735003,76.598796468835005,76.681383418769201,76.681383418869203,76.763668163840421,76.763668163940423,76.845339055080629,76.845339055180631,76.926915507269925,76.926915507369927,77.007745890956897,77.007745891056899,77.169274443659546,77.169274443759548,77.24979317847847,77.249793178578471,77.41069843344502,77.410698433545022,77.490650533958387,77.490650534058389,77.5699321172102,77.569932117310202,77.649072041885603,77.649072041985605,77.728117527510094,77.728117527610095,77.806464164157731,77.806464164257733,77.962798569059501,77.962798569159503,78.118604115276085,78.118604115376087,78.274060237004235,78.274060237104237,78.351547478288467,78.351547478388468,78.428987500047214,78.428987500147215,78.506323638849963,78.506323638949965,78.583612558127243,78.583612558227244,78.660759818828126,78.660759818928128,78.737850416098453,78.737850416198455,78.814317715632683,78.814317715732685,78.890718907831257,78.890718907931259,78.966893446307623,78.966893446407624,79.042964101827963,79.042964101927964,79.118713664575154,79.118713664675155,79.194368788271419,79.19436878837142,79.269787814340376,79.269787814440377,79.344857415920913,79.344857416020915,79.41987979797598,79.419879798075982,79.6448052855648,79.644805285664802,79.719015491781917,79.719015491881919,79.867190362683729,79.867190362783731,79.940824490690204,79.940824490790206,80.014316960120283,80.014316960220285,80.087752766119806,80.087752766219808,80.160924142776736,80.160924142876738,80.233934973047099,80.2339349731471,80.306549159303572,80.306549159403573,80.379116126034575,80.379116126134576,80.596552596885019,80.596552596985021,80.668486821974838,80.66848682207484,80.740213281152606,80.740213281252608,80.954929907336407,80.954929907436409,81.026061400493347,81.026061400593349,81.167861635457712,81.167861635557713,81.238360386973454,81.238360387073456,81.379244563143843,81.379244563243844,81.449573324367918,81.44957332446792,81.519817090446168,81.519817090546169,81.58985309061238,81.589853090712381,81.659813539537851,81.659813539637852,81.799621110527681,81.799621110627683,81.869430456971685,81.869430457071687,81.939107588744378,81.939107588844379,82.078339081523566,82.078339081623568,82.147761227858766,82.147761227958767,82.217032271712483,82.217032271812485,82.286123881369448,82.28612388146945,82.355054944639832,82.355054944739834,82.423844349333834,82.423844349433836,82.492492095451439,82.492492095551441,82.561092622043589,82.56109262214359,82.629627041300083,82.629627041400084,82.698067021505665,82.698067021605667,82.766119801602443,82.766119801702445,82.833832601115887,82.833832601215889,82.901271527381653,82.901271527481654,82.968578238976136,82.968578239076137,83.035799955424764,83.035799955524766,83.102965008442851,83.102965008542853,83.16987507602343,83.169875076123432,83.236737924078554,83.236737924178556,83.437232029192998,83.437232029293,83.503934330861554,83.503934330961556,83.637253939052812,83.637253939152814,83.703786250429701,83.703786250529703,83.770205234945465,83.770205235045466,83.836473116979761,83.836473117079763,83.902674891678402,83.902674891778403,83.968716119990475,83.968716120090477,84.100704137563696,84.100704137663698,84.166594263394288,84.166594263494289,84.232182184261916,84.232182184361918,84.297722885604088,84.29772288570409,84.363093596654593,84.363093596754595,84.559120734660269,84.55912073476027,84.624359231039477,84.624359231139479,84.689550507893216,84.689550507993218,84.754666233506214,84.754666233606216,84.81971585178357,84.819715851883572,84.884699362725286,84.884699362825287,84.949418444324408,84.94941844442441,85.013844764865652,85.013844764965654,85.078214421976341,85.078214422076343,85.206783745906066,85.206783746006067,85.27086064195889,85.270860642058892,85.334786435530233,85.334786435630235,85.462543583622008,85.46254358372201,85.590083521896645,85.590083521996647,85.65367877878974,85.653678778889741,85.780765409619946,85.780765409719947,85.844143456695917,85.844143456795919,85.907342069575137,85.907342069675138,86.033484309896082,86.033484309996084,86.159296013538778,86.15929601363878,86.221729670105503,86.221729670205505,86.284059443716217,86.284059443816219,86.346285334370904,86.346285334470906,86.470623788819168,86.47062378891917,86.532698576992374,86.532698577092376,86.718705731694882,86.718705731794884,86.78058219786115,86.780582197961152,86.842156459064455,86.842156459164457,86.903645725121919,86.903645725221921,86.965078327748842,86.965078327848843,87.026312608368812,87.026312608468814,87.148677286652742,87.148677286752743,87.270862530739905,87.270862530839906,87.331879601542752,87.331879601642754,87.392679462528477,87.392679462628479,87.514213077164257,87.514213077264259,87.635501150267643,87.635501150367645,87.69596103067002,87.695961030770022,87.756005379248336,87.756005379348338,87.815964732680825,87.815964732780827,87.875791871442004,87.875791871542006,88.055178848674643,88.055178848774645,88.174530921234052,88.174530921334053,88.234046411127181,88.234046411227183,88.293486349779585,88.293486349879586,88.412281231938536,88.412281232038538,88.590364950268395,88.590364950368397,88.649597123008746,88.649597123108748,88.767749819621415,88.767749819721416,88.885354769738711,88.885354769838713,89.002581963652304,89.002581963752306,89.119440845267277,89.119440845367279,89.23585586334292,89.235855863442922,89.293926435756887,89.293926435856889,89.467930387086781,89.467930387186783,89.525812081398911,89.525812081498913,89.699372169189445,89.699372169289447,89.757036653684452,89.757036653784454,89.814616143033604,89.814616143133605,89.872120081142029,89.872120081242031,89.929567355819898,89.9295673559199,90.044320246599256,90.044320246699257,90.158667049459623,90.158667049559625,90.215623241072677,90.215623241172679,90.329431741342773,90.329431741442775,90.443126914751758,90.44312691485176,90.613485518715933,90.613485518815935,90.670139505366024,90.670139505466025,90.726746272490658,90.72674627259066,90.839893699404271,90.839893699504273,90.896330476237253,90.896330476337255,90.952587818873454,90.952587818973456,91.065017509000043,91.065017509100045,91.121142636964962,91.121142637064963,91.177163881973854,91.177163882073856,91.288913610933776,91.288913611033777,91.344613763169519,91.344613763269521,91.400228920259437,91.400228920359439,91.455759082203528,91.45575908230353,91.511157029476323,91.511157029576324,91.566488869413462,91.566488869513464,91.621537392197823,91.621537392297824,91.676510363741443,91.676510363841444,91.731218905942484,91.731218906042486,91.840456556147799,91.840456556247801,91.949363669674867,91.949363669774868,92.058081905100082,92.058081905200083,92.166649038043829,92.166649038143831,92.220772058129128,92.22077205822913,92.274838414783872,92.274838414883874,92.382829469516963,92.382829469616965,92.598443266684541,92.598443266784543,92.759726277854796,92.759726277954798,93.02798984591324,93.027989846013242,93.081423460926786,93.081423461026787,93.241516540055386,93.241516540155388,93.294732945251795,93.294732945351797,93.347760472346351,93.347760472446353,93.400655784769626,93.400655784869627,93.506370858375419,93.506370858475421,93.559096180507026,93.559096180607028,93.664471273529486,93.664471273629488,93.769666932355193,93.769666932455195,93.874683156984148,93.874683157084149,93.979453840080694,93.979453840180696,94.08410175241103,94.084101752511032,94.188598562259884,94.188598562359886,94.240738362275749,94.240738362375751,94.344866859825999,94.344866859926,94.500842396334249,94.500842396434251,94.552727210912622,94.552727211012623,94.604555362060438,94.60455536216044,94.656336293682784,94.656336293782786,94.75977538616128,94.759775386261282,94.966304146629852,94.966304146729854,95.01776398547905,95.017763985579052,95.172049062975731,95.172049063075733,95.223395574963831,95.223395575063833,95.326031935509462,95.326031935609464,95.428507749668512,95.428507749768514,95.479570944503834,95.479570944603836,95.581584007313367,95.581584007413369,95.632524431382478,95.63252443148248,95.734301396564689,95.734301396664691,95.886792132093788,95.88679213219379,96.089845535488308,96.08984553558831,96.191103085890433,96.191103085990434,96.241552426894728,96.24155242699473,96.291935660563382,96.291935660663384,96.392617132754864,96.392617132854866,96.49315694636995,96.493156946469952,96.593545657503554,96.593545657603556,96.693736046630221,96.693736046730223,96.74367541675953,96.743675416859531,96.843469161872306,96.843469161972308,96.943149580123986,96.943149580223988,97.04267889589417,97.042678895994172,97.142028777467601,97.142028777567603,97.24114256141371,97.241142561513712,97.290562516762932,97.290562516862934,97.339916364776499,97.339916364876501,97.389213549359511,97.389213549459512,97.536935112816892,97.536935112916893,97.635246164830136,97.635246164930138,97.733434446077197,97.733434446177199,97.831490512652948,97.83149051275295,97.978437675892735,97.978437675992737,98.076219869220807,98.076219869320809,98.173869847877583,98.173869847977585,98.271415943578333,98.271415943678335,98.320108718235431,98.320108718335433,98.417390384593588,98.41739038469359,98.514539836280463,98.514539836380465,98.611538185485855,98.611538185585857,98.708404320019952,98.708404320119953,98.853547697387057,98.853547697487059,98.95015884648366,98.950158846583662,98.998360538075943,98.998360538175945,99.094688370019753,99.094688370119755,99.142653963984728,99.14265396408473,99.190506231088577,99.190506231188579,99.333968593349226,99.333968593449228,99.429484249455086,99.429484249555088,99.52487713479475,99.524877134894751,99.620175581083487,99.620175581183489,99.762844655316357,99.762844655416359,99.952695479391508,99.95269547949151,100.0],[0.0,1e-10,16.979166666666668,16.979166666766666,24.473060982830077,24.473060982930075,29.757622853759621,29.757622853859619,34.453633806986382,34.453633807086383,39.066015393724101,39.066015393824102,42.944974837181768,42.944974837281769,46.75140615748964,46.751406157589642,49.472875962107757,49.472875962207759,51.81819863824748,51.818198638347482,54.149274718768503,54.149274718868504,56.404862344582597,56.404862344682599,58.477649496743638,58.47764949684364,60.389098579040855,60.389098579140857,62.288521314387211,62.288521314487213,63.96647424511545,63.966474245215451,65.601687388987571,65.601687389087573,67.220248667850797,67.220248667950798,68.555543220840732,68.555543220940734,69.859014209591479,69.85901420969148,71.063684132622853,71.063684132722855,72.256327708703381,72.256327708803383,73.433429544108947,73.433429544208948,74.600170219064537,74.600170219164539,75.731941977501478,75.73194197760148,76.844101539372403,76.844101539472405,77.952190645352275,77.952190645452276,79.021425399644755,79.021425399744757,82.215438129070449,82.215438129170451,83.267650976909408,83.26765097700941,84.31357312018946,84.313573120289462,85.358200118413265,85.358200118513267,86.400976909413856,86.400976909513858,87.440053285968034,87.440053286068036,88.465253108348136,88.465253108448138,89.464920071047956,89.464920071147958,90.460886619301363,90.460886619401364,91.450192421551208,91.450192421651209,92.412300177619898,92.412300177719899,93.373482830076966,93.373482830176968,94.333185316755475,94.333185316855477,95.291222616933098,95.2912226170331,97.202301657785668,97.20230165788567,98.138876554174061,98.138876554274063,99.072861160449975,99.072861160549976,100.0],[0.0,1e-10,1.0038832419274211,1.0038832420274211,1.8135198641831305,1.8135198642831305,2.6114922709478927,2.6114922710478927,3.3861724710024705,3.3861724711024705,4.1428009089877245,4.1428009090877245,4.81566675601987,4.8156667561198701,5.4400041537164894,5.4400041538164894,6.0089425652097264,6.0089425653097264,6.5594790466737667,6.5594790467737667,7.106900240770659,7.106900240870659,7.6439492184009641,7.6439492185009641,8.1777259368200408,8.1777259369200408,8.6968197504389178,8.6968197505389178,9.1935752631693344,9.1935752632693344,9.6835930613615009,9.6835930614615009,10.169312245977295,10.169312246077295,10.646832670429161,10.646832670529161,11.120561621108608,11.120561621208608,11.589629715494571,11.589629715594571,12.056826222508796,12.056826222608796,12.523600113019727,12.523600113119727,12.981873374435807,12.981873374535807,13.43775583391896,13.43775583401896,13.888421998275724,13.888421998375724,14.338242929625899,14.338242929725899,14.785987002731311,14.785987002831311,15.22675186615373,15.22675186625373,15.662336658721477,15.662336658821477,16.08570179696537,16.085701797065369,16.4990931857315,16.499093185831498,17.318377539019579,17.318377539119577,17.721408786076356,17.721408786176355,18.122230352558763,18.122230352658761,18.518596333620714,18.518596333720712,18.912293793333284,18.912293793433282,19.304844151108341,19.304844151208339,19.695269351609685,19.695269351709683,20.072955683225988,20.072955683325986,20.449072296401482,20.44907229650148,20.821095566873627,20.821095566973625,21.191657791720097,21.191657791820095,21.553803910772373,21.553803910872372,21.912460424983156,21.912460425083154,22.269076305220885,22.269076305320883,22.622866692265152,22.62286669236515,22.971307961853427,22.971307961953425,23.318336484844973,23.318336484944972,23.664145457355581,23.664145457455579,24.009024673558937,24.009024673658935,24.349665649972106,24.349665650072104,24.684872985628623,24.684872985728621,25.018679649445648,25.018679649545646,25.349189904536971,25.349189904636969,25.679325842153943,25.679325842253942,26.008326752590641,26.008326752690639,26.336253009633243,26.336253009733241,26.661800539500152,26.661800539600151,26.982397418899893,26.982397418999891,27.297741778901536,27.297741779001534,27.605998256405055,27.605998256505053,27.909424831013773,27.909424831113771,28.212102770673795,28.212102770773793,28.513114393835114,28.513114393935112,28.807883367504896,28.807883367604894,29.101577687780587,29.101577687880585,29.394342251749027,29.394342251849025,29.68536805067534,29.685368050775338,30.267069480568093,30.267069480668091,30.557684737748346,30.557684737848344,30.846452557071341,30.846452557171339,31.129521090978464,31.129521091078463,31.412118709353347,31.412118709453345,31.693279431617029,31.693279431717027,31.974126210192544,31.974126210292543,32.254695269351608,32.254695269451609,32.533730834341576,32.533730834441577,32.812633577001932,32.812633577101934,33.090232245880699,33.090232245980701,33.36585065457259,33.365850654672592,33.638691869099972,33.638691869199974,34.183770560292885,34.183770560392887,34.453665534054437,34.453665534154439,34.723210339856116,34.723210339956118,34.992634398085428,34.99263439818543,35.260935503891695,35.260935503991696,35.528379301934137,35.528379302034139,35.794857119397612,35.794857119497614,36.055031913583377,36.055031913683379,36.311222037880931,36.311222037980933,36.565769995194245,36.565769995294247,37.074213872930088,37.074213873030089,37.327554354519705,37.327554354619707,37.579796033200751,37.579796033300752,37.831264927418637,37.831264927518639,38.07901479640752,38.079014796507522,38.324398012977952,38.324398013077953,38.569612182947061,38.569612183047063,38.81384829757998,38.813848297679982,39.057480674351041,39.057480674451043,39.30096815403526,39.300968154135262,39.544310736632639,39.544310736732641,39.783644499827332,39.783644499927334,40.022519422247015,40.022519422347017,40.261104550493009,40.261104550593011,40.499230837963999,40.499230838064001,40.736101350682347,40.736101350782349,40.972561321654631,40.972561321754633,41.208308881949925,41.208308882049927,41.443947769430096,41.443947769530098,41.679477984095129,41.679477984195131,41.914923675459505,41.914923675559507,42.14991052604887,42.149910526148872,42.383460480527042,42.383460480627043,42.615573538893997,42.615573538993999,42.845899533189886,42.845899533289888,43.074039996425874,43.074039996525876,43.301951039274357,43.301951039374359,43.529306643289935,43.529306643389937,43.756034359929195,43.756034360029197,43.979513966871693,43.979513966971695,44.202112116535901,44.202112116635902,44.423949556494165,44.423949556594167,44.644458773156366,44.644458773256368,44.864702345159351,44.864702345259353,45.084233506485354,45.084233506585356,45.302315696942912,45.302315697042914,45.520156392255736,45.520156392355737,45.73735712543499,45.737357125534992,46.171686143250092,46.171686143350094,46.388089942451707,46.388089942551709,46.60305684554212,46.603056845642122,46.817528683585813,46.817528683685815,47.030008186685407,47.030008186785409,47.242173746096832,47.242173746196833,47.454049511334574,47.454049511434576,47.665780379485469,47.66578037958547,47.877149004919254,47.877149005019255,48.088227836179357,48.088227836279358,48.298871976178916,48.298871976278917,48.508103369581754,48.508103369681756,48.716670651336557,48.716670651436559,48.924392700084766,48.924392700184768,49.129905068258601,49.129905068358603,49.539698179368102,49.539698179468104,49.743773651430736,49.743773651530738,49.947571404076918,49.947571404176919,50.151006914005997,50.151006914105999,50.354080181217959,50.354080181317961,50.556549710568071,50.556549710668072,50.757002755459602,50.757002755559604,50.957009034333367,50.957009034433369,51.154962604476836,51.154962604576838,51.352143390157138,51.35214339025714,51.746130644043404,51.746130644143406,51.942671467590145,51.942671467690147,52.138656852303981,52.138656852403983,52.334171321485584,52.334171321585586,52.724222204512579,52.72422220461258,53.110554062310577,53.110554062410579,53.301733693644088,53.30173369374409,53.492611456046674,53.492611456146676,53.68338054563413,53.683380545734131,53.873268177943281,53.873268178043283,54.060934054920828,54.06093405502083,54.248092792094418,54.24809279219442,54.434985884608793,54.434985884708794,54.621480510134347,54.621480510234349,54.805596408484206,54.805596408584208,54.988685952468927,54.988685952568929,55.171570225580616,55.171570225680618,55.354394124906122,55.354394125006124,55.537012753358596,55.537012753458598,55.718701625503819,55.718701625603821,55.899943731631275,55.899943731731277,56.08058209989688,56.080582099996882,56.441255098566245,56.441255098666247,56.801300209859278,56.80130020995928,56.980900149002501,56.980900149102503,57.160113695914141,57.160113696014143,57.338832177779068,57.33883217787907,57.695894824034561,57.695894824134562,57.873502428233678,57.87350242833368,58.050796088744633,58.050796088844635,58.22793277741151,58.227932777511512,58.404815896176409,58.404815896276411,58.58126432368077,58.581264323780772,58.756746770606178,58.756746770706179,58.932108469959211,58.932108470059212,59.10704755280895,59.107047552908952,59.281298374496181,59.281298374596183,59.455029981622218,59.45502998172222,59.626926225648234,59.626926225748235,59.798701722101875,59.798701722201876,59.970151200110124,59.970151200210125,60.140791669383489,60.140791669483491,60.309572626042353,60.309572626142355,60.476457845815013,60.476457845915014,60.642425384037651,60.642425384137653,60.807426941681335,60.807426941781337,60.971788537191458,60.971788537291459,61.135896562799601,61.135896562899603,61.29894200977089,61.298942009870892,61.461927082955995,61.461927083055997,61.624549913423991,61.624549913523992,61.785929043896573,61.785929043996575,61.946366343304668,61.946366343404669,62.266033466397161,62.266033466497163,62.425021794936811,62.425021795036812,62.583901450661337,62.583901450761338,62.741706452991764,62.741706453091766,62.897422522320191,62.897422522420193,63.208552792046113,63.208552792146115,63.363882469142958,63.363882469242959,63.518729155950318,63.51872915605032,63.672754759265565,63.672754759365567,63.826188699476198,63.8261886995762,63.979272471726958,63.97927247182696,64.132054375046792,64.132054375146794,64.284558558950167,64.284558559050168,64.436096762274587,64.436096762374589,64.586439564632556,64.586439564732558,64.736504647574066,64.736504647674067,64.88642483342872,64.886424833528721,65.03580165520772,65.035801655307722,65.184490215824212,65.184490215924214,65.331500385184754,65.331500385284755,65.477834368140023,65.477834368240025,65.62373365983477,65.623733659934771,65.768075307845933,65.768075307945935,65.912030563625521,65.912030563725523,66.055804698046543,66.055804698146545,66.199506383924145,66.199506384024147,66.343039023200433,66.343039023300435,66.486414690632643,66.486414690732644,66.629476414376683,66.629476414476684,66.772127596374673,66.772127596474675,66.914621806528586,66.914621806628588,67.057007343867355,67.057007343967356,67.199296283148229,67.199296283248231,67.341102232139619,67.341102232239621,67.482702910257984,67.482702910357986,67.623977569930958,67.623977570030959,67.906164646559787,67.906164646659789,68.046944241186026,68.046944241286027,68.186914827077402,68.186914827177404,68.32678881491087,68.326788815010872,68.466119438668684,68.466119438768686,68.605015371165962,68.605015371265964,68.743440388130992,68.743440388230994,68.881044321603909,68.881044321703911,69.017923769642607,69.017923769742609,69.153052377881949,69.15305237798195,69.288072313306145,69.288072313406147,69.422259090480992,69.422259090580994,69.690077205997767,69.690077206097769,69.823551572495631,69.823551572595633,69.956265229287567,69.956265229387569,70.088906437536068,70.088906437636069,70.353911134616638,70.35391113471664,70.485864081702644,70.485864081802646,70.617527234614954,70.617527234714956,70.748465902093045,70.748465902193047,71.010113816661715,71.010113816761717,71.140412522006244,71.140412522106246,71.270566330263932,71.270566330363934,71.530777348721401,71.530777348821402,71.660254970573817,71.660254970673819,71.789539396310431,71.789539396410433,71.917254103606254,71.917254103706256,72.044715241000077,72.044715241100079,72.171946958006416,72.171946958106417,72.298852656567334,72.298852656667336,72.425528934740768,72.42552893484077,72.551541101266153,72.551541101366155,72.677311772646817,72.677311772746819,72.801862893546527,72.801862893646529,73.050868537288054,73.050868537388055,73.298896125693389,73.298896125793391,73.4217809300944,73.421780930194402,73.544520837408569,73.544520837508571,73.666826053462202,73.666826053562204,73.788853550099375,73.788853550199377,73.910808598193128,73.91080859829313,74.032196132696754,74.032196132796756,74.274741781316493,74.274741781416495,74.395320307085228,74.39532030718523,74.515548664894098,74.5155486649941,74.635366480956904,74.635366481056906,74.754628858186805,74.754628858286807,74.873685964543682,74.873685964643684,74.992417052455167,74.992417052555169,75.110918719979139,75.110918720079141,75.22874420109784,75.228744201197841,75.346448934644172,75.346448934744174,75.581628981349326,75.581628981449327,75.816362262036719,75.816362262136721,75.933463257721201,75.933463257821202,76.050105412630685,76.050105412730687,76.166506072395421,76.166506072495423,76.282822208859486,76.282822208959487,76.398486308432766,76.398486308532767,76.514065884705388,76.51406588480539,76.629210769717474,76.629210769817476,76.744150383856535,76.744150383956537,76.858715680521243,76.858715680621245,76.972954958740559,76.97295495884056,77.086457676768404,77.086457676868406,77.199247984119282,77.199247984219284,77.31179679632541,77.311796796425412,77.423922992028238,77.42392299212824,77.535686945013964,77.535686945113966,77.647124879554298,77.647124879654299,77.758490365551197,77.758490365651198,77.86961435640336,77.869614356503362,77.980327805509475,77.980327805609477,78.201513208576941,78.201513208676943,78.311816115936992,78.311816116036994,78.421551509706902,78.421551509806903,78.53120238017614,78.531202380276142,78.640744577830262,78.640744577930263,78.74907929976068,78.749079299860682,78.856786134314774,78.856786134414776,78.964420520325433,78.964420520425435,79.179314974872426,79.179314974972428,79.286212800691644,79.286212800791645,79.392688010007561,79.392688010107562,79.605396933494646,79.605396933594648,79.711002760289503,79.711002760389505,79.816524063783703,79.816524063883705,79.921972918734468,79.92197291883447,80.027252727083919,80.027252727183921,80.132460086889949,80.132460086989951,80.237172381649273,80.237172381749275,80.446295102236974,80.446295102336975,80.654367318945049,80.654367319045051,80.757449521477369,80.757449521577371,80.860254004593244,80.860254004693246,80.962792843049897,80.962792843149899,81.167472052974375,81.167472053074377,81.268465322504696,81.268465322604698,81.470343188750192,81.470343188850194,81.570599898089043,81.570599898189045,81.670627187040409,81.670627187140411,81.770376756575303,81.770376756675304,81.869981429023369,81.869981429123371,81.969489503413527,81.969489503513529,82.06868363411553,82.068683634215532,82.16747929782872,82.167479297928722,82.364961952439941,82.364961952539943,82.463395373436015,82.463395373536017,82.561683897345247,82.561683897445249,82.659875823196572,82.659875823296574,82.757886627689345,82.757886627789347,82.855028049661058,82.85502804976106,83.049009024673552,83.049009024773554,83.339588057582105,83.339588057682107,83.435848022275508,83.435848022375509,83.531637071436677,83.531637071536679,83.627329522539952,83.627329522639954,83.72296159985703,83.722961599957031,83.818497079116227,83.818497079216229,83.913042428281983,83.913042428381985,84.007527403661555,84.007527403761557,84.10195200525493,84.101952005354931,84.196316233062134,84.196316233162136,84.384803193531795,84.384803193631797,84.478793103864646,84.478793103964648,84.572336248179724,84.572336248279726,84.665541299292173,84.665541299392174,84.758396182444756,84.758396182544757,84.850961271423643,84.850961271523644,84.943441837101858,84.94344183720186,85.035777505693247,85.035777505793249,85.127702632538572,85.127702632638574,85.219301740938505,85.219301741038507,85.310731802737109,85.310731802837111,85.401992817934399,85.401992818034401,85.49297611371523,85.492976113815232,85.583307372605276,85.583307372705278,85.673554108194651,85.673554108294653,85.763535199124817,85.763535199224819,85.853069524037224,85.853069524137226,85.942060484873949,85.94206048497395,86.03054430590673,86.030544306006732,86.207053107197282,86.207053107297284,86.294583022408332,86.294583022508334,86.469256460598857,86.469256460698858,86.55632753503491,86.556327535134912,86.642963918210427,86.642963918310429,86.729407105270155,86.729407105370157,86.815548423398951,86.815548423498953,86.987758611113122,86.987758611213124,87.159352986208219,87.159352986308221,87.244842267446217,87.244842267546218,87.33019872635461,87.330198726454611,87.415470661962345,87.415470662062347,87.585797187547541,87.585797187647543,87.670731029952648,87.67073103005265,87.755314704397861,87.755314704497863,87.839838005056905,87.839838005156906,87.923999062998845,87.923999063098847,88.007906551038786,88.007906551138788,88.175069490227898,88.1750694903279,88.257600455942836,88.257600456042837,88.340058973114353,88.340058973214354,88.422372593199015,88.422372593299016,88.586854936281512,88.586854936381513,88.668673491319453,88.668673491419455,88.749936607524504,88.749936607624505,88.912317942847764,88.912317942947766,88.993242965850172,88.993242965950174,89.073914418950608,89.07391441905061,89.15445304972144,89.154453049821441,89.31511976951704,89.315119769617041,89.395187484755624,89.395187484855626,89.47508615339288,89.475086153492882,89.554610504555811,89.554610504655813,89.633519043099639,89.633519043199641,89.712149862227022,89.712149862327024,89.790684083296512,89.790684083396513,90.026057326117453,90.026057326217455,90.10426552874155,90.104265528841552,90.182147712920226,90.182147713020228,90.259728028167999,90.259728028268,90.337151371571679,90.337151371671681,90.414309070316136,90.414309070416138,90.491044152557308,90.491044152657309,90.644248672380442,90.644248672480444,90.720524913846603,90.720524913946605,90.796390613566714,90.796390613666716,90.872123490957208,90.872123491057209,90.946805864468089,90.946805864568091,91.021150144776342,91.021150144876344,91.169609285005322,91.169609285105324,91.243699995411589,91.243699995511591,91.391519173507021,91.391519173607023,91.538565567139273,91.538565567239274,91.611847268810664,91.611847268910665,91.685032372424146,91.685032372524148,91.758145027494223,91.758145027594225,91.904273739576468,91.904273739676469,92.049798713796861,92.049798713896863,92.122198958189941,92.122198958289943,92.41146184255966,92.411461842659662,92.483523993750111,92.483523993850113,92.699481026933952,92.699481027033954,92.771337907251379,92.771337907351381,92.843134413782607,92.843134413882609,92.914822247498719,92.914822247598721,93.058125466387494,93.058125466487496,93.201138891102588,93.201138891202589,93.272259211228558,93.27225921132856,93.343234634267674,93.343234634367676,93.414113459248895,93.414113459348897,93.555472642222526,93.555472642322528,93.696385059178382,93.696385059278384,93.766551473482622,93.766551473582624,93.976893744551262,93.976893744651264,94.04687903749695,94.046879037596952,94.186728875815945,94.186728875915946,94.256520972645845,94.256520972745847,94.326035350059286,94.326035350159287,94.395477278929306,94.395477279029308,94.464230946636818,94.464230946736819,94.532875941529198,94.5328759416292,94.601460562635381,94.601460562735383,94.738436608731988,94.738436608831989,94.943490136130819,94.943490136230821,95.080007341452401,95.080007341552403,95.216319275900958,95.216319276000959,95.284167336815699,95.284167336915701,95.419525365442524,95.419525365542526,95.554533226109484,95.554533226209486,95.621729250133427,95.621729250233429,95.688852825613935,95.688852825713937,95.822822257158521,95.822822257258522,95.889619814193637,95.889619814293638,95.956308698413622,95.956308698513624,96.022695713702674,96.022695713802676,96.088913682390412,96.088913682490414,96.155010903505783,96.155010903605785,96.287084598164157,96.287084598264158,96.352952398892015,96.352952398992016,96.418759825833703,96.418759825933705,96.550253932144699,96.550253932244701,96.615844013456112,96.615844013556114,96.680794132633963,96.680794132733965,96.745563130453263,96.745563130553265,96.810078558370577,96.810078558470579,96.939036965661799,96.939036965761801,97.00339542173505,97.003395421835052,97.132039885338102,97.132039885438104,97.196265519081734,97.196265519181736,97.324487366181501,97.324487366281502,97.388302458179083,97.388302458279085,97.579566612813252,97.579566612913254,97.706798329819577,97.706798329919579,97.770275328614517,97.770275328714519,97.833643654594326,97.833643654694328,97.95996976480788,97.959969764907882,98.022903399527152,98.022903399627154,98.148674070907802,98.148674071007804,98.274275695687137,98.274275695787139,98.399696199107922,98.399696199207924,98.524875207383957,98.524875207483959,98.649873094301441,98.649873094401443,98.774532888016282,98.774532888116283,98.836597140214494,98.836597140314495,98.898540644840338,98.89854064494034,98.960327177622091,98.960327177722093,99.08382779464219,99.083827794742191,99.145457355579865,99.145457355679866,99.206966168945172,99.206966169045174,99.268414608524296,99.268414608624298,99.452639179689285,99.452639179789287,99.513761600823017,99.513761600923019,99.635873620760862,99.635873620860863,99.696718322478119,99.696718322578121,99.81831112785477,99.818311127954772,99.878938483941781,99.878938484041782,100.0],[0.0,1e-10,11.271119137142989,11.271119137242989,19.041907090625688,19.041907090725687,25.959526390888989,25.959526390988987,32.490929522139872,32.490929522239874,37.342687761363223,37.342687761463225,41.485284570795862,41.485284570895864,45.522100330524587,45.522100330624589,48.763745769581853,48.763745769681854,51.735830776683351,51.735830776783352,54.657167242805407,54.657167242905409,57.354419242264967,57.354419242364969,59.971593998490725,59.971593998590727,62.46519276207173,62.465192762171732,64.894202473497074,64.894202473597076,67.23028303845355,67.230283038553551,69.549886804390738,69.54988680449074,71.860593098857493,71.860593098957494,74.130766467736777,74.130766467836779,76.391712829165257,76.391712829265259,78.450983170597482,78.450983170697484,80.39162055909074,80.391620559190741,82.300622493466946,82.300622493566948,84.204022316176591,84.204022316276593,86.081718332416131,86.081718332516132,87.941289869734433,87.941289869834435,89.730670243230506,89.730670243330508,91.501267065844587,91.501267065944589,93.24550101002778,93.245501010127782,94.961065323917396,94.961065324017397,96.657846086925005,96.657846087025007,98.341115874736786,98.341115874836788,100.0],[0.0,1e-10,1.9706993138163402,1.9706993139163402,3.4142886338758038,3.4142886339758038,4.2916574512938386,4.2916574513938386,5.1534604541522366,5.1534604542522366,5.8879373335983631,5.8879373336983631,6.6122516398697622,6.6122516399697622,7.3015148673126289,7.3015148674126289,7.8640678848689642,7.8640678849689643,8.408199488791773,8.408199488891773,8.9359533921437428,8.9359533922437429,9.4453978661395936,9.4453978662395937,9.9489911616409064,9.9489911617409064,10.438418446050175,10.438418446150175,10.917627165146014,10.917627165246014,11.393028418809999,11.393028418909999,11.850568180227496,11.850568180327496,12.307576016327308,12.307576016427308,12.745518529198501,12.745518529298501,13.182397191434323,13.182397191534323,13.615244419683476,13.615244419783476,14.044228190362073,14.044228190462073,14.463973258154555,14.463973258254555,14.879154966642684,14.879154966742684,15.293888738021181,15.293888738121181,15.692804730215878,15.692804730315878,16.080438306461772,16.080438306561771,16.467511961320632,16.46751196142063,16.847810567396337,16.847810567496335,17.2259254800626,17.225925480162598,17.600204931227655,17.600204931327653,17.965497644130764,17.965497644230762,18.32986648674526,18.329866486845258,18.688972068321608,18.688972068421606,19.043682267009711,19.043682267109709,19.396768693675408,19.396768693775407,19.746103647047953,19.746103647147951,20.093478875565872,20.09347887566587,20.433911078884524,20.433911078984522,20.770059883592342,20.77005988369234,21.104416939861643,21.104416939961641,21.436366334166681,21.43636633426668,21.764620247317275,21.764620247417273,22.090830447405185,22.090830447505184,22.414576993390128,22.414576993490126,22.735467940301181,22.735467940401179,23.055211048368808,23.055211048468806,23.373218400136622,23.37321840023662,23.690077913061007,23.690077913161005,24.006657465291873,24.006657465391871,24.322957056829221,24.322957056929219,24.634217355883234,24.634217355983232,24.942482075516597,24.942482075616596,25.248451117463109,25.248451117563107,25.544509550859061,25.544509550959059,25.837068475586026,25.837068475686024,26.127499699042254,26.127499699142252,26.415467268395517,26.415467268495515,26.703238865263316,26.703238865363314,26.989302701900652,26.98930270200065,27.275086577844469,27.275086577944467,27.558210827199861,27.55821082729986,27.839543328116733,27.839543328216731,28.120035946953049,28.120035947053047,28.680433267169288,28.680433267269287,28.959722055023473,28.959722055123471,29.795572701592697,29.795572701692695,30.07183791395688,30.071837914056879,30.624116374061082,30.62411637416108,30.897637971628782,30.897637971728781,31.169143852203149,31.169143852303147,31.440369772084001,31.440369772183999,31.711287735201978,31.711287735301976,31.980721906644305,31.980721906744304,32.248952247104505,32.248952247204507,32.516286713345444,32.516286713445446,32.78236135646555,32.782361356565552,33.047652109643806,33.047652109743808,33.312662902128544,33.312662902228546,33.576245895076333,33.576245895176335,33.838989005943567,33.838989006043569,34.101256183631818,34.10125618373182,34.361563636465441,34.361563636565442,34.621003211149151,34.621003211249153,34.880022844792592,34.880022844892594,35.13753069069103,35.137530690791031,35.394786571965298,35.3947865720653,35.651426539713825,35.651426539813826,35.907562578214019,35.907562578314021,36.418350863538762,36.418350863638764,36.672723149669785,36.672723149769787,36.926759482968592,36.926759483068594,37.1801519066723,37.180151906772302,37.431052680203699,37.431052680303701,37.681365536278705,37.681365536378706,37.930838510273155,37.930838510373157,38.178323763343627,38.178323763443629,38.424549193293259,38.424549193393261,39.162637565685777,39.162637565785779,39.652988720383661,39.652988720483663,39.897142441201254,39.897142441301256,40.138048617974036,40.138048618074038,40.378030924458209,40.37803092455821,40.617453309555337,40.617453309655339,40.856259781126731,40.856259781226733,41.093918413854695,41.093918413954697,41.330933136987568,41.33093313708757,41.803226826953498,41.8032268270535,42.037945872399519,42.03794587249952,42.2721609885972,42.272160988697202,42.505340250228869,42.505340250328871,42.737791614057386,42.737791614157388,43.201686483217756,43.201686483317758,43.432794035717386,43.432794035817388,43.663565635384792,43.663565635484794,43.89313340407007,43.893133404170072,44.121581329981268,44.12158133008127,44.349721299129605,44.349721299229607,44.577497319376363,44.577497319476365,44.804965382860246,44.804965382960248,45.031901521026448,45.03190152112645,45.2580537692508,45.258053769350802,45.483702088226813,45.483702088326815,45.70786661552718,45.707866615627182,45.931275248955046,45.931275249055048,46.154123960995875,46.154123961095877,46.376356759510962,46.376356759610964,46.598225609124476,46.598225609224478,46.819002612033273,46.819002612133275,47.039023721069562,47.039023721169563,47.258568896926874,47.258568897026876,47.477862108160018,47.47786210826002,47.696259445173901,47.696259445273903,48.351003519105916,48.351003519205918,48.568672958316654,48.568672958416656,48.785782476140348,48.78578247624035,49.001744155120619,49.001744155220621,49.217285893060613,49.217285893160614,49.432687650653847,49.432687650753849,49.647025557611713,49.647025557711714,49.860747551043836,49.860747551143838,50.073797638811513,50.073797638911515,50.498721979434087,50.498721979534089,50.708468531018248,50.70846853111825,50.917879129770178,50.91787912987018,51.126589826788319,51.126589826888321,51.335132547390344,51.335132547490346,51.543507291576262,51.543507291676264,51.750622212641346,51.750622212741348,51.957429176943556,51.957429177043558,52.370763144854465,52.370763144954466,52.577038183838987,52.577038183938988,52.782893281783238,52.78289328188324,52.988468419033964,52.988468419133966,53.604857877953933,53.604857878053934,53.810041070233737,53.810041070333739,54.219343604157977,54.219343604257979,54.42197915412676,54.421979154226761,54.624306747332675,54.624306747432676,54.82638237591442,54.826382376014422,55.028038063455888,55.02803806355589,55.431097473914662,55.431097474014663,55.632473200762611,55.632473200862613,55.832757080905843,55.832757081005845,56.031165224402493,56.031165224502494,56.229293407205631,56.229293407305633,56.624709890731339,56.62470989083134,56.821354281858824,56.821354281958826,57.214447091628337,57.214447091728339,57.410727533854249,57.410727533954251,57.606672023247938,57.60667202334794,57.802336551948109,57.802336552048111,57.996993222151609,57.996993222251611,58.190782014205205,58.190782014305206,58.384122869149174,58.384122869249175,58.770524618343586,58.770524618443588,58.963221563692457,58.963221563792459,59.155442575862352,59.155442575962354,59.347523607685481,59.347523607785483,59.539324678815092,59.539324678915094,59.730901781389896,59.730901781489898,59.921722990092192,59.921722990192194,60.112152253823567,60.112152253923568,60.301937607959843,60.301937608059845,60.491443001402601,60.491443001502603,60.679380614961659,60.67938061506166,61.054863897108845,61.054863897208847,61.429899242146405,61.429899242246407,61.616884989347497,61.616884989447499,61.990464538778753,61.990464538878754,62.176610403899289,62.176610403999291,62.362392320118254,62.362392320218255,62.547474334603422,62.547474334703423,62.917330406810883,62.917330406910885,63.286738541908719,63.28673854200872,63.470980674313324,63.470980674413326,63.65491484995507,63.654914850055071,64.022195283782153,64.022195283882155,64.20495362451112,64.204953624611122,64.386984067436927,64.386984067536929,64.568566573253122,64.568566573353124,64.750009098722543,64.750009098822545,64.931283647775857,64.931283647875858,65.293580781258314,65.293580781358315,65.474155428577831,65.474155428677832,65.653638229192623,65.653638229292625,65.832813073044548,65.83281307314455,66.011511983717483,66.011511983817485,66.189874941558202,66.189874941658204,66.367649981942535,66.367649982042536,66.544977085217241,66.544977085317242,66.722136212075824,66.722136212175826,66.8991273625183,66.899127362618302,67.252941686987143,67.252941687087144,67.4296528767361,67.429652876836101,67.959282516734646,67.959282516834648,68.135489777235279,68.13548977733528,68.311221104556921,68.311221104656923,68.837911157273524,68.837911157373526,69.012998575000069,69.01299857510007,69.712396379548309,69.712396379648311,69.885608060628286,69.885608060728288,70.058343808529287,70.058343808629289,70.230575627181949,70.230575627281951,70.402443496933031,70.402443497033033,70.745983263949739,70.745983264049741,70.917123235897677,70.917123235997678,71.259067226961335,71.259067227061337,71.770779382574688,71.770779382674689,72.110511684159547,72.110511684259549,72.279803915530266,72.279803915630268,72.618192405786232,72.618192405886234,72.786756739353791,72.786756739453793,72.955069108297195,72.955069108397197,73.291357893351773,73.291357893451774,73.626946776672554,73.626946776772556,73.961891750398237,73.961891750498239,74.129112272636917,74.129112272736918,74.629598004440183,74.629598004540185,74.795586699627378,74.79558669972738,74.961351426259753,74.961351426359755,75.292544926692287,75.292544926792289,75.457581755521531,75.457581755621533,75.787403448555821,75.787403448655823,75.952076328483486,75.952076328583487,76.280806174813051,76.280806174913053,76.444723160868207,76.444723160968209,76.772305168354364,76.772305168454366,76.935774217299894,76.935774217399896,77.099103285898664,77.099103285998666,77.262236382011963,77.262236382111965,77.424865548876937,77.424865548976939,77.587326739325803,77.587326739425805,78.074374357840156,78.074374357940158,78.398512848796031,78.398512848896033,78.560106161094978,78.56010616119498,79.044214192327402,79.044214192427404,79.205023614684492,79.205023614784494,79.686835968230056,79.686835968330058,80.00736296623954,80.007362966339542,80.167388498654788,80.167388498754789,80.487159602791763,80.487159602891765,80.806566758027174,80.806566758127175,81.125469984014245,81.125469984114247,81.284655634348937,81.284655634448939,81.761736652174037,81.761736652274038,81.92027839291363,81.920278393013632,82.078624161167767,82.078624161267768,82.394755776289003,82.394755776389005,82.710103501468396,82.710103501568398,83.025003289538148,83.02500328963815,83.653962983597097,83.653962983697099,83.810796964106245,83.810796964206247,84.28099094887078,84.280990948970782,84.437404988339637,84.437404988439638,84.593231110352107,84.593231110452109,85.060429515696001,85.060429515796002,85.215751708460132,85.215751708560134,85.52592016080942,85.525920160909422,85.680654436117166,85.680654436217168,85.834800793968526,85.834800794068528,85.988639195057019,85.98863919515702,86.142085651174568,86.14208565127457,86.295168158390567,86.295168158490569,86.601193192475776,86.601193192575778,87.059600832043188,87.05960083214319,87.212095421802772,87.212095421902774,87.364338046938215,87.364338047038217,87.516244719241413,87.516244719341415,87.667871430851108,87.667871430951109,87.819358162114042,87.819358162214044,88.122107656085092,88.122107656185094,88.272978473822278,88.272978473922279,88.423037405548257,88.423037405648259,88.572816376580732,88.572816376680734,88.722343382989024,88.722343383089026,89.170700433659121,89.170700433759123,89.319695514749725,89.319695514849727,89.61746170837614,89.617461708476142,89.914919945239689,89.91491994533969,90.063411097081968,90.063411097181969,90.508408619429829,90.508408619529831,90.804327072479026,90.804327072579028,91.099713600210535,91.099713600310537,91.247000921070679,91.247000921170681,91.541351594236176,91.541351594336177,91.83528232636138,91.835282326461382,91.981757761210332,91.981757761310334,92.420904105063656,92.420904105163658,92.85932255111382,92.859322551213822,93.005042092090264,93.005042092190266,93.296285201557694,93.296285201657696,93.587192358192908,93.58719235829291,94.168362761868238,94.16836276196824,94.313270416833475,94.313270416933477,94.602497809307579,94.602497809407581,94.891081292186584,94.891081292286586,95.179216837955948,95.17921683805595,95.466820458407639,95.466820458507641,95.753584196778775,95.753584196878776,96.182931916358939,96.182931916458941,96.325599885776043,96.325599885876045,96.753239845125748,96.75323984522575,97.180039922394897,97.180039922494899,97.464200026316306,97.464200026416307,97.747912193128087,97.747912193228089,98.031260411038289,98.031260411138291,98.172724549473259,98.17272454957326,98.455456853857712,98.455456853957713,98.737825209340613,98.737825209440615,98.878393473556315,98.878393473656317,99.159306033432912,99.159306033532914,99.439714664061171,99.439714664161173,100.0],[0.0,1e-10,54.743644980611805,54.743644980711807,100.0],[0.0,1e-10,2.1404766343533139,2.1404766344533139,4.0032723729628508,4.0032723730628508,5.3851829744609336,5.3851829745609336,6.7599367821052558,6.7599367822052558,8.0687236203149038,8.0687236204149038,9.3529554852833865,9.3529554853833865,10.595815940790992,10.595815940890992,11.748600907681688,11.748600907781688,12.870215263912524,12.870215264012524,13.833866056747286,13.833866056847286,14.785814341673726,14.785814341773726,15.732946334328069,15.732946334428069,16.667252919471323,16.667252919571322,17.584147796316294,17.584147796416293,18.478489978729847,18.478489978829845,19.285421867969195,19.285421868069193,20.083952303554128,20.083952303654126,20.878870519934985,20.878870520034983,21.664020862662884,21.664020862762882,22.391849210006306,22.391849210106304,23.101629990240244,23.101629990340243,23.793850244156253,23.793850244256252,24.474259758876926,24.474259758976924,25.144739053014121,25.144739053114119,25.805842811913774,25.805842812013772,26.453390602115,26.453390602214998,27.094160407967014,27.094160408067012,27.726339355412335,27.726339355512334,28.357950088600838,28.357950088700836,28.96790103547578,28.967901035575778,29.576674967104452,29.57667496720445,30.179360888838623,30.179360888938621,30.780382754534958,30.780382754634957,31.378901771719111,31.378901771819109,31.969749896436188,31.969749896536186,32.537896508702204,32.537896508802206,33.090525460192666,33.090525460292668,33.64131447980391,33.641314479903912,34.190006518229261,34.190006518329263,34.73570866735087,34.735708667450872,35.277622721427008,35.27762272152701,35.815288697487873,35.815288697587874,36.346027871179878,36.34602787127988,36.873844800122519,36.873844800222521,37.399510632235767,37.399510632335769,37.918182017425778,37.91818201752578,38.421579262236023,38.421579262336024,38.920687842298356,38.920687842398358,39.415954211671718,39.415954211771719,39.910422375303355,39.910422375403357,40.400020131019382,40.400020131119383,40.888927912280707,40.888927912380709,41.370124214342326,41.370124214442328,41.847978875417404,41.847978875517406,42.32204544144701,42.322045441547012,42.782961906104489,42.782961906204491,43.236139833740509,43.236139833840511,43.689141885535129,43.689141885635131,44.141494549607678,44.14149454970768,44.584228158046905,44.584228158146907,45.017816222733494,45.017816222833495,45.449374950788588,45.44937495088859,45.877443219837495,45.877443219937497,46.300857543544829,46.300857543644831,46.721187275572277,46.721187275672278,47.129611566028252,47.129611566128254,47.537291766386012,47.537291766486014,47.941995606350901,47.941995606450902,48.344886572258318,48.34488657235832,48.741973635399638,48.74197363549964,49.132810341715938,49.13281034181594,49.520968323678652,49.520968323778654,49.897369682089533,49.897369682189535,50.267290692190493,50.267290692290494,50.636535256747614,50.636535256847615,51.000801182102116,51.000801182202117,51.364728884684702,51.364728884784704,51.726694895190171,51.726694895290173,52.086049825896445,52.086049825996447,52.445174765117812,52.445174765217814,52.803082102360278,52.80308210246028,53.157864261190234,53.157864261290236,53.508344226361409,53.508344226461411,53.858350679651899,53.858350679751901,54.199319820476767,54.199319820576768,54.538543731798541,54.538543731898542,54.877578238368045,54.877578238468047,55.212959939000847,55.212959939100848,55.547394615872278,55.54739461597228,55.879678195914323,55.879678196014325,56.199244599732289,56.199244599832291,56.518053384541162,56.518053384641163,56.834778717075025,56.834778717175027,57.151247000302234,57.151247000402236,57.466281218976519,57.466281219076521,57.77939433230631,57.779394332406312,58.086757658513513,58.086757658613514,58.39403981125546,58.394039811355462,58.700997270136362,58.700997270236364,59.006872416147132,59.006872416247134,59.312246992455471,59.312246992555473,59.616931594309094,59.616931594409095,59.921020924084139,59.921020924184141,60.21900871505381,60.219008715153812,60.516279473747012,60.516279473847014,60.809234509870556,60.809234509970558,61.101026059658707,61.101026059758709,61.392059990437765,61.392059990537767,61.6827015828014,61.682701582901402,61.971286780711779,61.971286780811781,62.257450303575233,62.257450303675235,62.540650994956692,62.540650995056694,62.823581108120621,62.823581108220623,63.105726544453702,63.105726544553704,63.387628460390999,63.387628460491001,63.667514568607679,63.667514568707681,63.943423177026609,63.943423177126611,64.219074736138893,64.219074736238895,64.489680011494158,64.48968001159416,64.759297676355445,64.759297676455446,65.026683070922061,65.026683071022063,65.293703184895023,65.293703184995024,65.554229421647179,65.554229421747181,65.812469272461172,65.812469272561174,66.070140909018349,66.070140909118351,66.327109042209926,66.327109042309928,66.582602524115956,66.582602524215957,66.833239127017265,66.833239127117267,67.08175169091092,67.081751691010922,67.328789603519027,67.328789603619029,67.574636971969994,67.574636972069996,67.819672605768346,67.819672605868348,68.064072380755505,68.064072380855507,68.306632223863431,68.306632223963433,68.547446837468271,68.547446837568273,68.788044988499067,68.788044988599069,69.027953165075175,69.027953165175177,69.26677902878113,69.266779028881132,69.503913778627521,69.503913778727522,69.740953826097751,69.740953826197753,69.974489885650939,69.974489885750941,70.201694414913845,70.201694415013847,70.428317201009037,70.428317201109039,70.654507061956195,70.654507062056197,70.880548104883687,70.880548104983689,71.106507974345945,71.106507974445947,71.331520820046819,71.331520820146821,71.554030817235514,71.554030817335516,71.776297294028424,71.776297294128426,71.991434034789322,71.991434034889323,72.206435486441464,72.206435486541466,72.420124633738567,72.420124633838569,72.6319332624238,72.631933262523802,72.843444255069755,72.843444255169757,73.05472525623081,73.054725256330812,73.265938612837473,73.265938612937475,73.47598848310875,73.475988483208752,73.685131916351281,73.685131916451283,73.892895400684395,73.892895400784397,74.099590101058254,74.099590101158256,74.305473066779513,74.305473066879514,74.509881381215209,74.509881381315211,74.713775597037596,74.713775597137598,74.91668220236599,74.916682202465992,75.118438850269868,75.11843885036987,75.316596807880543,75.316596807980545,75.513523634601441,75.513523634701443,75.906957891806059,75.90695789190606,76.100570135362162,76.100570135462164,76.293844156146363,76.293844156246365,76.483560073369986,76.483560073469988,76.671571347823161,76.671571347923162,76.858716771980212,76.858716772080214,77.044888114554155,77.044888114654157,77.230815936732313,77.230815936832315,77.41532322326843,77.415323223368432,77.599668162874011,77.599668162974012,77.967776298917499,77.967776299017501,78.150741289613663,78.150741289713665,78.333422173181418,78.33342217328142,78.698526891010289,78.698526891110291,78.880355453192806,78.880355453292808,79.061331693990113,79.061331694090114,79.240210953601519,79.240210953701521,79.418846692817155,79.418846692917157,79.597414787478399,79.597414787578401,79.772722414618372,79.772722414718373,79.947488885323267,79.947488885423269,80.294681325151416,80.294681325251418,80.466633782393956,80.466633782493957,80.637436282211993,80.637436282311995,80.807657038862331,80.807657038962333,80.976700780266412,80.976700780366414,81.145081605037518,81.14508160513752,81.309985499713321,81.309985499813322,81.474456469241076,81.474456469341078,81.802924896415888,81.80292489651589,81.96312073010661,81.963120730206612,82.12086783092866,82.120867831028661,82.277072635910756,82.277072636010757,82.43235747495325,82.432357475053252,82.584557722315864,82.584557722415866,82.736649738391449,82.736649738491451,82.886766533479047,82.886766533579049,83.035327503815836,83.035327503915838,83.183036152767386,83.183036152867388,83.329946595977205,83.329946596077207,83.4765864609695,83.476586461069502,83.623104565763896,83.623104565863898,83.768797406994821,83.768797407094823,83.914382016938731,83.914382017038733,84.059817808863002,84.059817808963004,84.20507772494588,84.205077725045882,84.495029342854806,84.495029342954808,84.639599284482955,84.639599284582957,84.782478112251539,84.782478112351541,84.924572263189262,84.924572263289264,85.066490538285606,85.066490538385608,85.207691781105467,85.207691781205469,85.348148933827119,85.348148933927121,85.488105516846332,85.488105516946334,85.627669761450122,85.627669761550123,85.766719907440603,85.766719907540605,85.904281873234652,85.904281873334654,86.039895675862454,86.039895675962455,86.174264818689593,86.174264818789595,86.305752303500014,86.305752303600016,86.436820392073244,86.436820392173246,86.697319571003646,86.697319571103648,86.826439496410643,86.826439496510645,86.9545988691454,86.954598869245402,87.082298258910342,87.082298259010344,87.208455352835344,87.208455352935346,87.334152463790545,87.334152463890547,87.459727814547861,87.459727814647863,87.58454554629607,87.584545546396072,87.709241517846394,87.709241517946396,87.833139283654987,87.833139283754988,87.953370714616014,87.953370714716016,88.07281746874618,88.072817468846182,88.310303970275356,88.310303970375358,88.428221957476467,88.428221957576469,88.663165023760826,88.663165023860827,88.779364839280603,88.779364839380605,88.895348192226336,88.895348192326338,89.009802778243028,89.00980277834303,89.122755655152389,89.122755655252391,89.235586771863865,89.235586771963867,89.459706709446891,89.459706709546893,89.570873770120528,89.57087377022053,89.6803497169346,89.680349717034602,89.789744490283397,89.789744490383399,89.898922801058177,89.898922801158179,90.007708773417534,90.007708773517535,90.116372985578991,90.116372985678993,90.224360752196617,90.224360752296619,90.331983238220573,90.331983238320575,90.438185188602489,90.438185188702491,90.543656577797051,90.543656577897053,90.647301564023266,90.647301564123268,90.750215989062141,90.750215989162143,90.852819249150855,90.852819249250857,90.953663750825598,90.9536637509256,91.05368298893687,91.053682989036872,91.152484625069235,91.152484625169237,91.349560269809771,91.349560269909773,91.447590758022173,91.447590758122175,91.545215378908267,91.545215379008269,91.642122967517892,91.642122967617894,91.737488260287591,91.737488260387593,91.832772379592015,91.832772379692017,91.927812978500668,91.92781297860067,92.021798322360937,92.021798322460938,92.115607790379812,92.115607790479814,92.209349613844296,92.209349613944298,92.302644983249849,92.30264498334985,92.394682163943884,92.394682164043886,92.486164659291973,92.486164659391974,92.577403634244277,92.577403634344279,92.668087923850635,92.668087923950637,92.758488106328585,92.758488106428587,92.848793586430389,92.848793586530391,92.939017893066946,92.939017893166948,93.119209457033392,93.119209457133394,93.208337921888941,93.208337921988942,93.386094281897584,93.386094281997586,93.474681590318056,93.474681590418058,93.563025378342758,93.563025378442759,93.651274463991314,93.651274464091316,93.827474999249148,93.82747499934915,94.003066733517528,94.00306673361753,94.090449968869976,94.090449968969978,94.265081150466116,94.265081150566118,94.352180278690156,94.352180278790158,94.439049415429295,94.439049415529297,94.525769734148781,94.525769734248783,94.612219474650743,94.612219474750745,94.698019827430628,94.698019827530629,94.783711948923496,94.783711949023498,94.868687038139896,94.868687038239898,94.953486251514903,94.953486251614905,95.03792018429624,95.037920184396242,95.206625702928392,95.206625703028394,95.374992998788628,95.374992998888629,95.45896694860015,95.458966948700152,95.626563096540409,95.62656309664041,95.71007706338213,95.710077063482132,95.790831132405017,95.790831132505019,95.952122807876748,95.95212280797675,96.032362778286313,96.032362778386315,96.192355678313888,96.19235567841389,96.271445691298936,96.271445691398938,96.350089250225054,96.350089250325055,96.50722755005765,96.507227550157651,96.585397597103082,96.585397597203084,96.663499999594137,96.663499999694139,96.81954245764571,96.819542457745712,96.897428397562734,96.897428397662736,96.97481376777732,96.974813767877322,97.05163092373509,97.051630923835091,97.128177501475321,97.128177501575323,97.281081252203521,97.281081252303522,97.433741482535936,97.433741482635938,97.509882192949874,97.509882193049876,97.738087861617643,97.738087861717645,97.813565655398619,97.813565655498621,97.888745813140304,97.888745813240305,97.963520103555695,97.963520103655696,98.037482659318485,98.037482659418487,98.111377570526884,98.111377570626885,98.185096605893904,98.185096605993905,98.258504476310748,98.258504476410749,98.331790586529692,98.331790586629694,98.404021441700266,98.404021441800268,98.54784729323022,98.547847293330221,98.619279942659062,98.619279942759064,98.690469071692135,98.690469071792137,98.761157631022769,98.761157631122771,98.831467380848849,98.831467380948851,98.901479494635652,98.901479494735653,99.041124912704703,99.041124912804705,99.110392936393282,99.110392936493284,99.179512142062222,99.179512142162224,99.248550174265901,99.248550174365903,99.317479975182565,99.317479975282566,99.386274486990459,99.386274487090461,99.523660576943115,99.523660577043117,99.592076279246456,99.592076279346458,99.728596518903004,99.728596519003005,99.796592824969181,99.796592825069183,99.86446737083746,99.864467370937462,99.932260743240477],[0.0,1e-10,2.8663757624534512,2.8663757625534512,5.1591966223406258,5.1591966224406258,7.1944187707996869,7.194418770899687,8.921014718081862,8.921014718181862,10.448665323148996,10.448665323248996,11.930735495227571,11.930735495327571,13.394326022890011,13.394326022990011,14.841077747925814,14.841077748025814,16.284507440814028,16.284507440914027,17.609567882969785,17.609567883069783,18.870891036269597,18.870891036369596,20.127076471835085,20.127076471935084,21.359496600498602,21.3594966005986,22.559301636215153,22.559301636315151,23.631322755193938,23.631322755293937,24.694440290036269,24.694440290136267,25.727578838413127,25.727578838513125,26.722050008553897,26.722050008653895,27.69812223141572,27.698122231515718,28.659090640100452,28.65909064020045,29.618956187910278,29.618956188010277,30.565130121443811,30.56513012154381,31.508183765672729,31.508183765772728,32.437908932742701,32.437908932842703,33.365092139991241,33.365092140091242,34.291105238750553,34.291105238850555,35.202054871901368,35.202054872001369,36.110758434733768,36.11075843483377,37.005555190924049,37.005555191024051,37.891582858206519,37.891582858306521,38.754652189958911,38.754652190058913,39.563519944566444,39.563519944666446,40.357458728794136,40.357458728894137,41.137046872125161,41.137046872225163,41.900145900424036,41.900145900524038,42.657488532936803,42.657488533036805,43.406600057456359,43.406600057556361,44.152160907939631,44.152160908039633,44.884648822198386,44.884648822298388,45.616881195522708,45.61688119562271,46.333027939500816,46.333027939600818,47.021939399677855,47.021939399777857,47.707811267687468,47.70781126778747,48.383394250705564,48.383394250805566,49.054027809309439,49.05402780940944,49.722321150934846,49.722321151034848,50.381818504606727,50.381818504706729,51.038168669928268,51.03816867002827,51.687874770954629,51.687874771054631,52.320338583668409,52.320338583768411,52.938572801191306,52.938572801291308,53.55138686099972,53.551386861099722,54.159345643053967,54.159345643153969,54.762112909282429,54.762112909382431,55.358303358830042,55.358303358930044,55.946249250861577,55.946249250961579,56.526663410088865,56.526663410188867,57.102235741084847,57.102235741184849,57.65614089074576,57.656140890845762,58.199501614480724,58.199501614580726,58.739190618473621,58.739190618573623,59.275651736978979,59.275651737078981,59.808131796716381,59.808131796816383,60.338258189952455,60.338258190052457,60.85968274189505,60.859682741995051,61.37450357811106,61.374503578211062,61.879640757864472,61.879640757964474,62.375753307775653,62.375753307875655,62.871179932020731,62.871179932120732,63.363419019346871,63.363419019446873,63.849283032835125,63.849283032935126,64.332295747476067,64.332295747576069,64.813613822236036,64.813613822336038,65.291488819142657,65.291488819242659,65.759599462449472,65.759599462549474,66.227172124841701,66.227172124941703,66.692848404510002,66.692848404610004,67.152526196980631,67.152526197080633,67.608599517323526,67.608599517423528,68.051519204304711,68.051519204404713,68.49266355426775,68.492663554367752,68.932664694787292,68.932664694887293,69.364649919679451,69.364649919779453,69.795720577016809,69.795720577116811,70.223267459363612,70.223267459463614,70.648837261849295,70.648837261949296,71.074003578649041,71.074003578749043,71.497017971790427,71.497017971890429,71.917382808927471,71.917382809027472,72.331601214115324,72.331601214215326,72.74244378906414,72.742443789164142,73.152465943118202,73.152465943218203,73.55440493393057,73.554404934030572,73.952026627903351,73.952026628003352,74.347711590583614,74.347711590683616,74.743275507558096,74.743275507658097,75.117925416477931,75.117925416577933,75.487693148597856,75.487693148697858,75.8528476943752,75.852847694475201,76.20275048122393,76.202750481323932,76.55152350815203,76.551523508252032,76.898480849493382,76.898480849593383,77.238874823676753,77.238874823776754,77.573351007799644,77.573351007899646,77.902743272279679,77.902743272379681,78.231745500596617,78.231745500696618,78.560680481299244,78.560680481399245,78.887315593592007,78.887315593692009,79.212067772683696,79.212067772783698,79.535743989946212,79.535743990046214,79.858747731065492,79.858747731165494,80.180272024669648,80.18027202476965,80.499792339366962,80.499792339466964,80.817268326588845,80.817268326688847,81.132067858760649,81.132067858860651,81.43797725631886,81.437977256418861,81.737861267633676,81.737861267733678,82.037422490399734,82.037422490499736,82.327609395729084,82.327609395829086,82.614783607936729,82.614783608036731,82.899940391714665,82.899940391814667,83.180376392967077,83.180376393067078,83.737415281455469,83.737415281555471,84.013251545888153,84.013251545988155,84.28351970785485,84.283519707954852,84.552510165149386,84.552510165249387,84.820855045346406,84.820855045446407,85.087787725642642,85.087787725742643,85.353778939338355,85.353778939438357,85.618694191204867,85.618694191304868,85.878915559591604,85.878915559691606,86.136204931993831,86.136204932093833,86.390414363660028,86.39041436376003,86.64305020115107,86.643050201251071,86.88629827168252,86.886298271782522,87.12568632915179,87.125686329251792,87.361819602087792,87.361819602187794,87.596513776077273,87.596513776177275,87.828840834042566,87.828840834142568,88.059527050218364,88.059527050318366,88.278001099632988,88.27800109973299,88.495748874812918,88.49574887491292,88.707794052298198,88.707794052398199,88.919771982169166,88.919771982269168,89.128306834186745,89.128306834286747,89.329753787654624,89.329753787754626,89.530972099233807,89.530972099333809,89.730280578566195,89.730280578666196,89.920672024239266,89.920672024339268,90.110323746154776,90.110323746254778,90.299585431907218,90.29958543200722,90.486170662609567,90.486170662709569,90.668102358400731,90.668102358500732,90.844640795523134,90.844640795623135,91.019982225110581,91.019982225210583,91.194180445254517,91.194180445354519,91.367867583529602,91.367867583629604,91.537371920193763,91.537371920293765,91.705544754094305,91.705544754194307,91.870879738670396,91.870879738770398,92.035609494717562,92.035609494817564,92.198362170903621,92.198362171003623,92.35872083201977,92.358720832119772,92.517465550392131,92.517465550492133,92.674784619340841,92.674784619440842,92.831579156897831,92.831579156997833,92.988239199226172,92.988239199326173,93.142747317896152,93.142747317996154,93.294256192967296,93.294256193067298,93.444608409072075,93.444608409172076,93.594086406190655,93.594086406290657,93.739865784521427,93.739865784621429,93.884354008657183,93.884354008757185,94.028398398538414,94.028398398638416,94.166511548836297,94.166511548936299,94.298962450008119,94.298962450108121,94.430108747462072,94.430108747562073,94.560098385949658,94.56009838604966,94.689778685411355,94.689778685511357,94.819351388690137,94.819351388790139,94.947821231094011,94.947821231194013,95.076210376360692,95.076210376460693,95.201344737094104,95.201344737194106,95.325187943632514,95.325187943732516,95.44763239979298,95.447632399892981,95.568597408438336,95.568597408538338,95.687275998196682,95.687275998296684,95.924471783439017,95.924471783539019,96.041590228545047,96.041590228645049,96.15608601669247,96.156086016792472,96.269384797304937,96.269384797404939,96.380262663801744,96.380262663901746,96.490293210358075,96.490293210458077,96.599382290313869,96.599382290413871,96.706373244702775,96.706373244802776,96.810055616466954,96.810055616566956,96.913052062565029,96.913052062665031,97.115965014025164,97.115965014125166,97.215182144198252,97.215182144298254,97.311009994609435,97.311009994709437,97.406515056471861,97.406515056571862,97.499088122349775,97.499088122449777,97.589966548346737,97.589966548446739,97.680159048677595,97.680159048777597,97.769531128113698,97.7695311282137,97.857719649537714,97.857719649637716,97.942935826408629,97.942935826508631,98.028057856619483,98.028057856719485,98.111525595517975,98.111525595617977,98.194872288710684,98.194872288810686,98.276537791545309,98.27653779164531,98.357786359171115,98.357786359271117,98.520135549671238,98.52013554977124,98.600361953559329,98.600361953659331,98.679189607069503,98.679189607169505,98.757681022508052,98.757681022608054,98.836037942717951,98.836037942817953,98.91306336016423,98.913063360264232,98.988246192978053,98.988246193078055,99.063146585811722,99.063146585911724,99.137952831985331,99.137952832085332,99.212584234361699,99.212584234461701,99.287121490078022,99.287121490178023,99.361255260108393,99.361255260208395,99.435294883478718,99.43529488357872,99.509146213528922,99.509146213628924,99.581060812286623,99.581060812386625,99.652222237763894,99.652222237863896,99.722401848072039,99.722401848172041,99.792151073648512,99.792151073748514,99.931124993409739,99.931124993509741,100.0],[0.0,1e-10,1.2145437905396259,1.2145437906396259,2.1534998393945011,2.1534998394945011,2.8650754657602255,2.8650754658602255,3.423096148873511,3.423096148973511,3.9392926615522756,3.9392926616522757,4.4026784582077454,4.4026784583077454,4.854358963301344,4.854358963401344,5.2967813357414748,5.2967813358414748,5.7238704607555286,5.7238704608555286,6.1486664438554151,6.1486664439554151,6.5703136350731608,6.5703136351731608,6.9617906084201779,6.9617906085201779,7.3471924669945858,7.3471924670945858,7.7287610137124751,7.7287610138124752,8.099599709831983,8.099599709931983,8.4636787712045027,8.4636787713045027,8.7939083198440109,8.7939083199440109,9.1187472736852904,9.1187472737852904,9.4343794338711771,9.4343794339711771,9.7498575770628317,9.7498575771628317,10.064052245302525,10.064052245402525,10.373763307710039,10.373763307810039,10.680120222243101,10.680120222343101,10.984936966833809,10.984936966933809,11.289137643447578,11.289137643547578,11.592893382078001,11.592893382178001,11.895451210753262,11.895451210853262,12.195630332517556,12.195630332617556,12.489118271532304,12.489118271632304,12.781459639589965,12.781459639689965,13.070669328764847,13.070669328864847,13.349422975331098,13.349422975431098,13.626516660959481,13.626516661059481,13.900786701693553,13.900786701793553,14.169341000641566,14.169341000741566,14.437364796609435,14.437364796709435,14.705097671588193,14.705097671688193,14.970776986643818,14.970776986743818,15.234916131757089,15.234916131857089,15.498832807878689,15.498832807978689,15.761346218052811,15.761346218152811,16.023483142241027,16.023483142341025,16.282864873532368,16.282864873632366,16.542075474830114,16.542075474930112,16.800704234149642,16.80070423424964,17.058785377489663,17.058785377589661,17.316301791850822,17.316301791950821,17.57362996321903,17.573629963319028,17.829349512647447,17.829349512747445,18.083528892133515,18.083528892233513,18.337092203642637,18.337092203742635,18.588328147238876,18.588328147338874,18.839461412838958,18.839461412938956,19.090098401457617,19.090098401557615,19.340358904090365,19.340358904190364,19.589849321751942,19.58984932185194,19.837405970485893,19.837405970585891,20.083080189290307,20.083080189390305,20.325451599218347,20.325451599318345,20.56039596742438,20.560395967524379,20.791832170761722,20.791832170861721,21.02248117612853,21.022481176228528,21.252941938502385,21.252941938602383,21.482102112924917,21.482102113024915,21.709225840423677,21.709225840523676,21.935819064942294,21.935819065042292,22.160957684515353,22.160957684615351,22.384316552155031,22.384316552255029,22.606460396840188,22.606460396940186,22.828518676528546,22.828518676628544,23.049481724257898,23.049481724357896,23.270068286001344,23.270068286101342,23.490055892767209,23.490055892867208,23.707870148614422,23.70787014871442,23.925598839464836,23.925598839564834,24.142762801336389,24.142762801436387,24.35961872921947,24.359618729319468,24.576337753107676,24.576337753207675,24.792594726013178,24.792594726113176,25.008543664930212,25.00854366503021,25.222781303911297,25.222781304011296,25.436060614928252,25.43606061502825,25.649203021950331,25.64920302205033,25.861643795998674,25.861643796098672,26.073365824073917,26.073365824173916,26.28418086318311,26.284180863283108,26.493507071348031,26.493507071448029,26.702439680527682,26.70243968062768,26.910978690722068,26.910978690822066,27.118781841943996,27.118781842043994,27.326054490185779,27.326054490285777,27.532659731452547,27.532659731552545,27.738785808737248,27.738785808837246,27.944603852033477,27.944603852133476,28.150250765336114,28.150250765436112,28.354785333680386,28.354785333780384,28.558669608048998,28.558669608148996,28.760483209495113,28.760483209595112,28.962040115950838,28.962040116050837,29.162963841430262,29.16296384153026,29.363630871919298,29.363630872019296,29.563562043435873,29.563562043535871,29.762517773988961,29.762517774088959,29.960498063578559,29.960498063678557,30.15700663522324,30.157006635323238,30.352556878903798,30.352556879003796,30.742989959289886,30.742989959389885,30.937154050022325,30.937154050122324,31.130804750773979,31.130804750873978,31.324250095533319,31.324250095633317,31.516086818352871,31.51608681845287,31.705202574274267,31.705202574374265,31.893753601216801,31.893753601316799,32.081004040208022,32.081004040308024,32.266851213251762,32.266851213351764,32.452390352307027,32.452390352407029,32.637741248369345,32.637741248469347,32.821055697507887,32.821055697607889,33.004027886659237,33.004027886759239,33.185494131866953,33.185494131966955,33.366601004088125,33.366601004188126,33.547023356334918,33.54702335643492,33.727000770598359,33.727000770698361,33.905472240918172,33.905472241018174,34.082591784288589,34.08259178438859,34.259112372681422,34.259112372781424,34.435513170078742,34.435513170178744,34.610288232536909,34.610288232636911,34.784960616998923,34.784960617098925,34.959547436464142,34.959547436564144,35.133415509956258,35.13341551005626,35.306958436460548,35.306958436560549,35.480261780973798,35.4802617810738,35.652880605512678,35.65288060561268,35.825225622061808,35.82522562216181,35.997348169619258,35.99734816971926,36.51325376130891,36.513253761408912,36.684623336894546,36.684623336994548,36.855753330489151,36.855753330589152,37.026712194090166,37.026712194190168,37.197260345706546,37.197260345806548,37.70815182858388,37.708151828683881,38.047006328900551,38.047006329000553,38.215278451602124,38.215278451702126,38.383379444310108,38.38337944441011,38.719393186733114,38.719393186833116,38.886792546467355,38.886792546567357,39.053473160228499,39.053473160328501,39.21994841799733,39.219948418097331,39.386338110769366,39.386338110869367,39.552299978557414,39.552299978657416,39.717714230365956,39.717714230465958,39.882854674184749,39.882854674284751,40.212895979831302,40.212895979931304,40.377403242673793,40.377403242773795,40.541602471527817,40.541602471627819,40.70369680146063,40.703696801560632,40.865003933422905,40.865003933522907,41.026003031396705,41.026003031496707,41.186848112376275,41.186848112476277,41.506912539396261,41.506912539496263,41.666046320439889,41.666046320539891,41.824786502498242,41.824786502598243,42.14204439762328,42.142044397723282,42.300185624704049,42.300185624804051,42.458172834790588,42.45817283489059,42.774010350968794,42.774010351068796,42.931124798088,42.931124798188002,43.244138669371893,43.244138669471894,43.399644494551303,43.399644494651305,43.554962076737766,43.554962076837768,43.70971492994537,43.709714930045372,43.863441003191404,43.863441003291406,44.016978833444483,44.016978833544485,44.170071725714216,44.170071725814218,44.322634115003808,44.32263411510381,44.475110939296599,44.4751109393966,44.779756553893712,44.779756553993714,44.931651536208285,44.931651536308287,45.083460953526057,45.083460953626059,45.234996562854079,45.23499656295408,45.386395268187222,45.386395268287224,45.537639956526135,45.537639956626137,45.688422593882343,45.688422593982345,45.838264016273776,45.838264016373778,45.987215562698523,45.987215562798525,46.135995979129667,46.135995979229669,46.284639491565947,46.284639491665949,46.432547145029758,46.43254714512976,46.580146764505109,46.580146764605111,46.727369897994542,46.727369898094544,46.874507466487188,46.87450746658719,47.020892063008013,47.020892063108015,47.312429120095779,47.31242912019578,47.457478902666566,47.457478902766567,47.602374668243115,47.602374668343117,47.891515905420562,47.891515905520563,48.035556021029137,48.035556021129139,48.179185424653092,48.179185424753094,48.322506794288572,48.322506794388573,48.465588581933019,48.465588582033021,48.608482126584512,48.608482126684514,48.750930733252666,48.750930733352668,48.892814610941947,48.892814611041949,49.176462575325004,49.176462575425006,49.317969967028382,49.317969967128384,49.459340454736889,49.459340454836891,49.600009309471652,49.600009309571654,49.740524147212184,49.740524147312186,49.880559820970646,49.880559821070648,50.300204791263333,50.300204791363335,50.439333476055751,50.439333476155753,50.578291030854565,50.578291030954567,50.717009003662355,50.717009003762357,50.994188254287536,50.994188254387538,51.270802775933852,51.270802776033854,51.408613759775584,51.408613759875585,51.684098823464183,51.684098823564184,51.821567547318729,51.821567547418731,52.233563006897739,52.233563006997741,52.644548799514538,52.64454879961454,52.917826286285759,52.917826286385761,53.054165552182582,53.054165552282583,53.326638727983912,53.326638728083914,53.598855208794852,53.598855208894854,53.734698197710244,53.734698197810246,53.87021603963781,53.870216039737812,54.005562751571787,54.005562751671789,54.140601429517289,54.140601429617291,54.275468977469195,54.275468977569197,54.544759135389668,54.54475913548967,54.679113293360793,54.679113293460794,54.947428010317772,54.947428010417774,55.081148987312595,55.081148987412597,55.214630382316386,55.214630382416388,55.748162363346282,55.748162363446284,55.881215933366086,55.881215933466088,56.013704774407032,56.013704774507033,56.145748677464624,56.145748677564626,56.277535885531833,56.277535885631835,56.40923752860224,56.409237528702242,56.672281441756503,56.672281441856505,56.802648270876873,56.802648270976874,56.932296354024146,56.932296354124148,57.061756194178464,57.061756194278466,57.191113356336629,57.191113356436631,57.320384953497992,57.320384953597994,57.578688565829687,57.578688565929689,57.707480999008986,57.707480999108988,57.964963187371431,57.964963187471433,58.222222906742196,58.222222906842198,58.350724418932387,58.350724419032389,58.478883671135385,58.478883671235387,58.863138958752707,58.863138958852709,59.118875621180486,59.118875621280488,59.374321362619149,59.374321362719151,59.50177898184841,59.501778981948412,59.629031245085358,59.629031245185359,59.883330415566945,59.883330415666947,60.010308870814136,60.010308870914137,60.264026199317499,60.264026199417501,60.390542603581991,60.390542603681993,60.64340428211738,60.643404282217382,60.769578426394681,60.769578426494682,61.02112240397939,61.021122404079392,61.146252655295761,61.146252655395763,61.271177550619825,61.271177550719827,61.395811524954773,61.395811525054775,61.894107840303541,61.894107840403542,62.018313989654509,62.01831398975451,62.142331896012514,62.142331896112516,62.266144446378213,62.266144446478215,62.38987143174711,62.389871431847112,62.513204818130745,62.513204818230747,62.636384187520143,62.636384187620145,62.882434892310464,62.882434892410465,63.128160450112958,63.12816045021296,63.373749103920574,63.373749104020575,63.496261066334945,63.496261066434947,63.740549132191248,63.74054913229125,63.862085653642133,63.862085653742135,63.983228576107756,63.983228576207757,64.225291952047328,64.22529195214733,64.467013067999702,64.467013068099703,64.587574148487093,64.587574148587095,64.708032550978345,64.708032551078347,64.948761112967873,64.948761113067874,65.549410277485578,65.549410277585579,65.668773448017816,65.668773448117818,65.90734577208805,65.907345772188052,66.026520699627326,66.026520699727328,66.145473158174937,66.145473158274939,66.263878000743048,66.26387800084305,66.618852946456329,66.618852946556331,66.85508078961432,66.855080789714322,67.208840712373089,67.208840712473091,67.326561034966815,67.326561035066817,67.797117178353901,67.797117178453902,68.149131575178004,68.149131575278005,68.383322971412227,68.383322971512229,68.500238983036056,68.500238983136057,68.733780085294612,68.733780085394613,68.850302497933171,68.850302498033173,69.082902385226959,69.08290238532696,69.198842955887315,69.198842955987317,69.314663735552131,69.314663735652132,69.546185503886278,69.54618550398628,69.661424441572876,69.661424441672878,69.776440910267823,69.776440910367825,69.891234909971075,69.891234910071077,70.005857779680738,70.00585777978074,70.120395084393607,70.120395084493609,70.234727033114169,70.23472703321417,70.348922077839845,70.348922077939847,70.462860427575137,70.462860427675139,70.576661873315544,70.576661873415546,70.804008069805974,70.804008069905976,71.030686859321392,71.030686859421394,71.370054749618845,71.370054749718847,71.482880754395779,71.482880754495781,71.708293181958581,71.708293182058583,71.820742700749605,71.820742700849607,71.933089541544462,71.933089541644463,72.157423850147623,72.157423850247625,72.269257300961698,72.2692573010617,72.492650394600091,72.492650394700092,72.604021794431461,72.604021794531462,72.826422334107008,72.82642233420701,72.937297456956955,72.937297457056957,73.048035675812031,73.048035675912033,73.268913158544578,73.26891315864458,73.378898405427833,73.378898405527835,73.488541392323896,73.488541392423897,73.598047475225087,73.598047475325089,73.926326141937608,73.92632614203761,74.035113478865696,74.035113478965698,74.361304359656373,74.361304359756375,74.578519660526013,74.578519660626014,74.795461153405896,74.795461153505897,74.903615309357676,74.903615309457678,75.011495657319713,75.011495657419715,75.226777189261725,75.226777189361727,75.33416126024234,75.334161260342341,75.441288636232571,75.441288636332573,75.762037583226927,75.762037583326929,75.868514665241491,75.868514665341493,75.974666600268236,75.974666600368238,76.186679549332581,76.186679549432583,76.292369433376606,76.292369433476608,76.397922413425761,76.397922413525762,76.50338982847812,76.503389828578122,76.714050850593082,76.714050850693084,76.924386725720211,76.924386725820213,77.239488382925956,77.239488383025957,77.659304483212239,77.659304483312241,77.868870273368188,77.86887027346819,78.077939786542714,78.077939786642716,78.286547248734536,78.286547248834538,78.494761111941088,78.49476111204109,78.702649828159821,78.702649828259823,78.806234813282629,78.80623481338263,79.116801525658119,79.11680152575812,79.220181154788619,79.220181154888621,79.323423879924249,79.323423880024251,79.42658104006307,79.426581040163072,79.529652635205096,79.529652635305098,79.735573356497483,79.735573356597484,79.838405369648484,79.838405369748486,80.043881152957525,80.043881153057526,80.351453090445105,80.351453090545107,80.760761809124688,80.76076180922469,80.862857963303227,80.862857963403229,81.169026634843334,81.169026634943336,81.270934546028926,81.270934546128927,81.372722666218991,81.372722666318992,81.474373882414184,81.474373882514186,81.575905307613866,81.575905307713867,81.676923342832765,81.676923342932767,81.777838700055497,81.777838700155499,81.979498284507386,81.979498284607388,82.080105607741643,82.080105607841645,82.281097785218506,82.281097785318508,82.381397074464303,82.381397074564305,82.682055360210668,82.68205536031067,82.882106322722763,82.882106322822764,83.081951929242535,83.081951929342537,83.38132674003694,83.381326740136942,83.480890170310275,83.480890170410277,83.779375105137987,83.779375105237989,83.878579162424785,83.878579162524787,83.977286942730146,83.977286942830148,84.174497147348575,84.174497147448577,84.469764838296697,84.469764838396699,84.764587591261488,84.76458759136149,84.862542399595043,84.862542399695045,85.156252807601462,85.156252807701463,85.351734599284569,85.351734599384571,85.546822791982422,85.546822792082423,85.838804787053533,85.838804787153535,86.033003103784694,86.033003103884695,86.22672225653379,86.226722256633792,86.323256685920498,86.3232566860205,86.419671324311707,86.419671324411709,86.708555866498756,86.708555866598758,86.90078618830357,86.900786188403572,86.996755888711434,86.996755888811435,87.18857549853162,87.188575498631621,87.380155526360781,87.380155526460783,87.475680288785284,87.475680288885286,87.571085260214275,87.571085260314277,87.761552943085078,87.76155294318508,87.951575687972522,87.951575688072523,88.046364591424577,88.046364591524579,88.140999477882389,88.14099947798239,88.424767233260965,88.424767233360967,88.613660520190692,88.613660520290694,88.896675303597448,88.89667530369745,88.990865252071913,88.990865252171915,89.084884070552789,89.084884070652791,89.272682125523502,89.272682125623504,89.460291937501268,89.460291937601269,89.553934269996233,89.553934270096235,89.741116256990026,89.741116257090027,89.834587459491388,89.83458745959139,89.927647950008136,89.927647950108138,90.206538500569266,90.206538500669268,90.299273844098181,90.299273844198183,90.484539175163704,90.484539175263706,90.669564924238188,90.669564924338189,90.761975120779269,90.761975120879271,90.854282639324197,90.854282639424198,91.038692320421745,91.038692320521747,91.222657063535948,91.22265706363595,91.498090788226463,91.498090788326465,91.681542141359884,91.681542141459886,91.864736799502907,91.864736799602909,92.047640536656814,92.047640536756816,92.230424482815209,92.230424482915211,92.412883281985785,92.412883282085787,92.595068273166589,92.595068273266591,92.868054838948709,92.86805483904871,93.322353632944299,93.322353633044301,93.412727382561613,93.412727382661615,93.502912889185964,93.502912889285966,93.683129885440451,93.683129885540453,93.863124412703257,93.863124412803259,94.042862244975666,94.042862245075668,94.402046988531382,94.402046988631383,94.581305656821726,94.581305656921728,94.849740164774232,94.849740164874234,95.117746847742737,95.117746847842739,95.385069010736871,95.385069010836872,95.563027091075895,95.563027091175897,95.651894896749567,95.651894896849569,95.829219796112298,95.8292197962123,96.006065531492965,96.006065531592967,96.094265930191625,96.094265930291627,96.270529823594075,96.270529823694076,96.446639700002279,96.446639700102281,96.798534305830856,96.798534305930858,96.88613574955194,96.886135749651942,96.973548950280062,96.973548950380064,97.148255560740793,97.148255560840795,97.322756815209218,97.322756815309219,97.496967148688526,97.496967148788528,97.670937900176796,97.670937900276797,97.844566391677887,97.844566391777889,98.017955301187939,98.017955301287941,98.36425395622598,98.364253956325982,98.623704139514757,98.623704139614759,98.882829175815701,98.882829175915703,98.969061579588029,98.969061579688031,99.227553434912679,99.22755343501268,99.399521965475898,99.3995219655759,99.743031201618336,99.743031201718338,99.828733102410524,99.828733102510526,100.0],[0.0,1e-10,1.4657100587589982,1.4657100588589982,2.8496478409264641,2.8496478410264641,4.1710247484303409,4.1710247485303409,5.380000617788637,5.380000617888637,6.5706252972456145,6.5706252973456145,7.7579003632049783,7.7579003633049783,8.9213892632766232,8.9213892633766232,10.061378734802759,10.061378734902759,11.192427214658222,11.192427214758222,12.318692394305032,12.318692394405032,13.416401141371024,13.416401141471024,14.361526521835636,14.361526521935636,15.301425462562726,15.301425462662726,16.220835716837492,16.22083571693749,17.117254849673387,17.117254849773385,17.98992691716823,17.989926917268228,18.846984833028284,18.846984833128282,19.694515249017698,19.694515249117696,20.531097511940981,20.531097512040979,21.352326293540578,21.352326293640576,22.171613081322491,22.171613081422489,22.984839284371368,22.984839284471366,23.796670901255869,23.796670901355867,24.591936919870076,24.591936919970074,25.369894429827358,25.369894429927356,26.146261850886937,26.146261850986935,26.895754162872283,26.895754162972281,27.631808920320516,27.631808920420514,28.363484416542295,28.363484416642294,29.088564953893286,29.088564953993284,29.777920625108258,29.777920625208257,30.452769993510614,30.452769993610612,31.109607043416073,31.109607043516071,31.761217653584016,31.761217653684014,32.406715544956704,32.406715545056706,33.045110170351961,33.045110170451963,33.674720206263203,33.674720206363205,34.302192745623444,34.302192745723445,34.919929248864165,34.919929248964166,35.535046015478343,35.535046015578345,36.145861721959399,36.145861722059401,36.751099083782954,36.751099083882956,37.3446323486382,37.344632348738202,37.933473547893676,37.933473547993678,38.516188994838338,38.516188994938339,39.097483788587517,39.097483788687519,39.669863657697128,39.66986365779713,40.239350086353561,40.239350086453562,40.803844678552451,40.803844678652453,41.363621138120465,41.363621138220466,41.919096537555362,41.919096537655363,42.472525675048132,42.472525675148134,43.025120667545387,43.025120667645389,43.561006693101241,43.561006693201243,44.075882691582578,44.07588269168258,44.574140957731395,44.574140957831396,45.058440328720906,45.058440328820907,45.53327736741754,45.533277367517542,46.001923486225593,46.001923486325595,46.464522053816168,46.46452205391617,46.925439297900155,46.925439298000157,47.375317154309137,47.375317154409139,47.823018413620439,47.82301841372044,48.268634310442962,48.268634310542964,48.711604403607836,48.711604403707838,49.153114743030557,49.153114743130558,49.590037284977946,49.590037285077948,50.006666643206337,50.006666643306339,50.423139599248067,50.423139599348069,50.836406310463296,50.836406310563298,51.237160846745802,51.237160846845804,51.634787339295123,51.634787339395125,52.029429156782378,52.029429156882379,52.411206894416921,52.411206894516923,52.791902850260414,52.791902850360415,53.164374657788755,53.164374657888757,53.535647381886044,53.535647381986045,53.892531104810708,53.892531104910709,54.243784349015648,54.24378434911565,54.592235387376284,54.592235387476286,54.937388946301525,54.937388946401526,55.278358746733637,55.278358746833639,55.617386553348069,55.617386553448071,55.95095331694499,55.950953317044991,56.284454912964136,56.284454913064138,56.615779911885618,56.615779911985619,56.940601186545187,56.940601186645189,57.258371329289552,57.258371329389554,57.574655651260663,57.574655651360665,57.889402018396289,57.889402018496291,58.201398313749827,58.201398313849829,58.510892174116819,58.510892174216821,58.820073230110495,58.820073230210497,59.127286225255382,59.127286225355384,59.43300036611145,59.433000366211452,59.737124418069826,59.737124418169827,60.04110510135709,60.041105101457092,60.344746913239931,60.344746913339932,60.646668301069518,60.64666830116952,60.940782613081716,60.940782613181717,61.233528405960641,61.233528406060643,61.524136702288565,61.524136702388567,61.811656055429978,61.81165605552998,62.097898124047006,62.097898124147008,62.382602237828557,62.382602237928559,62.661350035001504,62.661350035101506,62.936852486801286,62.936852486901287,63.205486275903624,63.205486276003626,63.471852233299408,63.47185223339941,63.737410112730785,63.737410112830787,64.002889791068839,64.00288979116884,64.266284106918093,64.266284107018095,64.526537345518634,64.526537345618635,64.783115132732675,64.783115132832677,65.037763959644593,65.037763959744595,65.289936418601073,65.289936418701075,65.540336319442076,65.540336319542078,65.78952410333649,65.789524103436491,66.286896090427575,66.286896090527577,66.534702321673166,66.534702321773167,66.776891107714576,66.776891107814578,67.018050246027158,67.01805024612716,67.258831412388645,67.258831412488647,67.498582931021289,67.498582931121291,67.737813109031748,67.73781310913175,67.975179494317842,67.975179494417844,68.20657652947979,68.206576529579792,68.432421287015345,68.432421287115346,68.653639146528903,68.653639146628905,68.87455723518471,68.874557235284712,69.094080737676123,69.094080737776125,69.311727413927642,69.311727414027644,69.745430677532966,69.745430677632967,69.960861656140153,69.960861656240155,70.175979830374004,70.175979830474006,70.39098070296788,70.390980703067882,70.603479140575203,70.603479140675205,70.814895796391468,70.81489579649147,71.023001939256773,71.023001939356774,71.230964713450987,71.230964713550989,71.43874501842744,71.438745018527442,71.641781123741893,71.641781123841895,71.844465324136365,71.844465324236367,72.046719418517526,72.046719418617528,72.248295770089825,72.248295770189827,72.446157569728982,72.446157569828983,72.643889034212592,72.643889034312593,72.840734219638463,72.840734219738465,73.036784360615485,73.036784360715487,73.231739686285891,73.231739686385893,73.425665364227456,73.425665364327457,73.618952399906831,73.618952400006833,73.812004832306229,73.812004832406231,74.003701779087905,74.003701779187907,74.19353493314523,74.193534933245232,74.381712830727082,74.381712830827084,74.568835013548991,74.568835013648993,74.753910934428774,74.753910934528776,74.937240364224195,74.937240364324197,75.120426425348526,75.120426425448528,75.302608905775116,75.302608905875118,75.482862425899583,75.482862425999585,75.662373035637415,75.662373035737417,75.841662075610813,75.841662075710815,76.020273372775364,76.020273372875366,76.373651080015748,76.373651080115749,76.548013451109398,76.5480134512094,76.721828414549734,76.721828414649735,76.895421808225635,76.895421808325636,77.065026946141728,77.06502694624173,77.234358380231185,77.234358380331187,77.572669343490091,77.572669343590093,77.740527990321837,77.740527990421839,78.073325776501008,78.07332577660101,78.234146324933107,78.234146325033109,78.392594773534199,78.392594773634201,78.549309764566488,78.549309764666489,78.704890839745502,78.704890839845504,78.859116429306795,78.859116429406797,79.167059301322752,79.167059301422753,79.320659282137427,79.320659282237429,79.474194095374315,79.474194095474317,79.624705133002465,79.624705133102466,79.774434159697321,79.774434159797323,79.924019817721074,79.924019817821076,80.222487323928604,80.222487324028606,80.370912999067968,80.37091299916797,80.519117104442898,80.5191171045429,80.663971596320224,80.663971596420225,80.808461149761996,80.808461149861998,80.95164735164829,80.951647351748292,81.093829972836843,81.093829972936845,81.234748343016577,81.234748343116578,81.37412875836084,81.374128758460841,81.512466492460703,81.512466492560705,81.649566042582848,81.649566042682849,81.78615728559835,81.786157285698351,81.921771014947225,81.921771015047227,82.057319576718342,82.057319576818344,82.192424998960576,82.192424999060577,82.461371592436237,82.461371592536238,82.595043327967431,82.595043328067433,82.727737549832014,82.727737549932016,82.992748021610083,82.992748021710085,83.257106817610421,83.257106817710422,83.388875659870607,83.388875659970608,83.52052720049079,83.520527200590791,83.651566165879899,83.651566165979901,83.780962908309093,83.780962908409094,83.910125047458294,83.910125047558296,84.0383878740342,84.038387874134202,84.164708706792425,84.164708706892426,84.290625500568453,84.290625500668455,84.541325172267236,84.541325172367237,84.665704011207779,84.665704011307781,84.788010521175096,84.788010521275098,84.90953502020912,84.909535020309121,85.030082005576517,85.030082005676519,85.150329220086164,85.150329220186165,85.270081161004711,85.270081161104713,85.389754900829942,85.389754900929944,85.628646207435963,85.628646207535965,85.747420634687899,85.7474206347879,85.863014884144434,85.863014884244436,86.0940600143864,86.094060014486402,86.322355072846278,86.32235507294628,86.434860379116287,86.434860379216289,86.545892898128614,86.545892898228615,86.656560478705387,86.656560478805389,86.766745819206633,86.766745819306635,86.876501053694568,86.87650105379457,86.98594348380918,86.985943483909182,87.09495580791048,87.094955808010482,87.203759595762904,87.203759595862905,87.309265904179938,87.30926590427994,87.413898967054791,87.413898967154793,87.518101923916333,87.518101924016335,87.621770506640118,87.62177050674012,87.725230553115026,87.725230553215027,87.828495096856614,87.828495096956615,87.931342568100447,87.931342568200449,88.034098804735393,88.034098804835395,88.239402741756393,88.239402741856395,88.341689771831369,88.341689771931371,88.443207824488596,88.443207824588598,88.544608575505833,88.544608575605835,88.645357650745311,88.645357650845312,88.745624485909275,88.745624486009277,88.844939874437713,88.844939874537715,88.943577520157305,88.943577520257307,89.139901364960977,89.139901365060979,89.237522396467298,89.2375223965673,89.33503915984916,89.335039159949162,89.432347386982144,89.432347387082146,89.52959044653737,89.529590446637371,89.626703170937034,89.626703171037036,89.723555225025606,89.723555225125608,89.820107508256413,89.820107508356415,89.916594623909432,89.916594624009434,90.012403996753605,90.012403996853607,90.107678995460034,90.107678995560036,90.202797591979802,90.202797592079804,90.297460015455144,90.297460015555146,90.390871221437209,90.390871221537211,90.483748053281531,90.483748053381532,90.576299047236986,90.576299047336988,90.668732739552425,90.668732739652427,90.760983962650116,90.760983962750117,90.853117884107803,90.853117884207805,90.94517360447216,90.945173604572162,91.037059889134312,91.037059889234314,91.128698537000915,91.128698537100917,91.311623927814139,91.311623927914141,91.40270213451187,91.402702134611872,91.493623939022953,91.493623939122955,91.583933168302963,91.583933168402964,91.672704442747474,91.672704442847476,91.761097745240903,91.761097745340905,91.849321612032128,91.84932161213213,91.937089305778912,91.937089305878914,92.024700597339049,92.02470059743905,92.198828365152707,92.198828365252709,92.285201472735125,92.285201472835126,92.371248742428662,92.371248742528664,92.457113542904438,92.457113543004439,92.54291317580244,92.542913175902441,92.628126300500469,92.628126300600471,92.713235157074067,92.713235157174068,92.798161544429888,92.79816154452989,92.882931529599048,92.88293152969905,92.966554565399377,92.966554565499379,93.133631201297831,93.133631201397833,93.216837164600392,93.216837164700394,93.299977960325194,93.299977960425196,93.466181350681467,93.466181350781468,93.549074509610719,93.549074509710721,93.631798232837767,93.631798232937768,93.714404654424811,93.714404654524813,93.796841640309637,93.796841640409639,93.878809419634493,93.878809419734495,93.96038619349271,93.960386193592711,94.041428593213155,94.041428593313157,94.122392791840284,94.122392791940285,94.284138719876779,94.284138719976781,94.364607644912823,94.364607645012825,94.444881067215533,94.444881067315535,94.524672249442716,94.524672249542718,94.604085459718817,94.604085459818819,94.68308159749715,94.683081597597152,94.761882232542163,94.761882232642165,94.919001262556648,94.91900126265665,94.99717628885503,94.997176288955032,95.075260080544524,95.075260080644526,95.153070168407353,95.153070168507355,95.386317962778108,95.38631796287811,95.463737045174298,95.4637370452743,95.618497008873348,95.61849700897335,95.773022369292406,95.773022369392407,95.927234925338155,95.927234925438157,96.004223901721033,96.004223901821035,96.080900073730604,96.080900073830605,96.157511078162386,96.157511078262388,96.234030847985281,96.234030848085283,96.310420282652643,96.310420282752645,96.386549047008899,96.3865490471089,96.462299839414058,96.46229983951406,96.537985464241444,96.537985464341446,96.689239412256228,96.68923941235623,96.840193589413246,96.840193589513248,96.915475175258422,96.915475175358424,96.990652492979166,96.990652493079168,97.064956565157743,97.064956565257745,97.139195469758533,97.139195469858535,97.21336920678155,97.213369206881552,97.36157331215648,97.361573312256482,97.509529780735861,97.509529780835862,97.58302577495003,97.583025775050032,97.656378400493082,97.656378400593084,97.802953316423654,97.802953316523656,97.949006891732026,97.949006891832028,98.094226322044875,98.094226322144877,98.166588400405757,98.166588400505759,98.237933864553355,98.237933864653357,98.309083825967633,98.309083826067635,98.379647279181938,98.37964727928194,98.450106464271812,98.450106464371814,98.59072506359378,98.590725063693782,98.660284936110358,98.66028493621036,98.729101898240302,98.729101898340303,98.797788525214699,98.797788525314701,98.866018979144684,98.866018979244686,98.934119097919108,98.93411909801911,99.070058665156864,99.070058665256866,99.205372623647989,99.205372623747991,99.272443094693571,99.272443094793573,99.339435364645837,99.339435364745839,99.406323366473657,99.406323366573659,99.472989798537043,99.472989798637045,99.53929129216489,99.539291292264892,99.605462450637191,99.605462450737193,99.737609264848459,99.73760926494846,99.803493685978552,99.803493686078554,99.869221704921983,99.869221705021985,99.934623885976549],[0.0,1e-10,4.6539490420717469,4.6539490421717469,7.5702727248146662,7.5702727249146662,10.055199385658137,10.055199385758137,12.535332826587087,12.535332826687087,14.958648899027027,14.958648899127027,17.36973973032752,17.369739730427519,19.569220385311262,19.56922038541126,21.70910750823559,21.709107508335588,23.678369015469737,23.678369015569736,25.539533653681403,25.539533653781401,27.382985789946499,27.382985790046497,28.961899902241449,28.961899902341447,30.383418553361405,30.383418553461404,31.752110571124806,31.752110571224804,33.115633430156855,33.115633430256857,34.438106662228662,34.438106662328664,35.66949425673932,35.669494256839322,36.883559747305497,36.883559747405499,38.047661523197085,38.047661523297087,39.201706935738606,39.201706935838608,40.337230131958862,40.337230132058863,41.466196087662567,41.466196087762569,42.560835937553094,42.560835937653096,43.644783219941992,43.644783220041994,44.727472553213055,44.727472553313056,45.780708526104398,45.7807085262044,46.829910386307496,46.829910386407498,47.877579572872776,47.877579572972778,48.913341620374382,48.913341620474384,49.924255558002372,49.924255558102374,50.90305564516234,50.903055645262341,51.878667481971924,51.878667482071926,52.83969723044428,52.839697230544282,53.77445463929466,53.774454639394662,54.641955147896496,54.641955147996498,55.486111301892031,55.486111301992032,56.273493464954335,56.273493465054337,57.025067455714044,57.025067455814046,57.75982541401347,57.759825414113472,58.488235789982646,58.488235790082648,59.215366528056094,59.215366528156096,59.931898683332129,59.931898683432131,60.637839485403383,60.637839485503385,61.337671281701219,61.337671281801221,62.032254393748772,62.032254393848774,62.70279188070478,62.702791880804781,63.36604193828849,63.366041938388491,64.024628908625033,64.024628908725035,64.68271703707002,64.682717037170022,65.334457583184772,65.334457583284774,65.983530409618595,65.983530409718597,66.623653000374929,66.623653000474931,67.242665180648004,67.242665180748006,67.861518309883181,67.861518309983182,68.434767168800434,68.434767168900436,68.997164409178168,68.99716440927817,69.54677972978385,69.546779729883852,70.094139417488591,70.094139417588593,70.641397890896485,70.641397890996487,71.186386272218158,71.18638627231816,71.727651413334755,71.727651413434756,72.254269399780426,72.254269399880428,72.777503936874666,72.777503936974668,73.275731313057406,73.275731313157408,73.773835786165421,73.773835786265423,74.270183468264037,74.270183468364039,74.764694833834326,74.764694833934328,75.247920805307217,75.247920805407219,75.707918095655899,75.7079180957559,76.162876359940597,76.162876360040599,76.613945103389682,76.613945103489684,77.062656999640978,77.06265699974098,77.505700895269371,77.505700895369372,77.942455045308577,77.942455045408579,78.368372035993545,78.368372036093547,78.772043570152135,78.772043570252137,79.174016150042391,79.174016150142393,79.572713724470688,79.57271372457069,79.957205149378566,79.957205149478568,80.334654951063612,80.334654951163614,80.709863579032969,80.709863579132971,81.08132727801933,81.081327278119332,81.431297398112989,81.43129739821299,81.781130155946656,81.781130156046657,82.123234479257505,82.123234479357507,82.461181786805383,82.461181786905385,82.784084312087629,82.78408431218763,83.10602530154992,83.106025301649922,83.417555677623213,83.417555677723215,83.728435390359692,83.728435390459694,84.038093301941473,84.038093302041474,84.339437181997326,84.339437182097328,84.640636470200562,84.640636470300564,84.939182497908121,84.939182498008122,85.229327738978157,85.229327739078158,85.513790520240036,85.513790520340038,85.797074877903029,85.797074878003031,86.076469714730393,86.076469714830395,86.35535125048095,86.355351250580952,86.627010423192885,86.627010423292887,86.896905575302782,86.896905575402783,87.16098090534453,87.160980905444532,87.421571571738014,87.421571571838015,87.677528069254876,87.677528069354878,87.92512715769,87.925127157790001,88.162293943958218,88.16229394405822,88.398484735221231,88.398484735321233,88.634176684592688,88.63417668469269,88.865639322274859,88.865639322374861,89.096733250732825,89.096733250832827,89.326937939297153,89.326937939397155,89.555103882739473,89.555103882839475,89.780949126947164,89.780949127047165,90.001654130794037,90.001654130894039,90.221708471304083,90.221708471404085,90.434605515109197,90.434605515209199,90.645630094422813,90.645630094522815,90.854811127615463,90.854811127715465,91.061006339051417,91.061006339151419,91.265791779924257,91.265791780024259,91.465834608031003,91.465834608131004,91.665682237136707,91.665682237236709,91.862045202594146,91.862045202694148,92.056477866819051,92.056477866919053,92.246066703981001,92.246066704081002,92.432301010162064,92.432301010262066,92.616445964072682,92.616445964172684,92.791467172082662,92.791467172182664,92.9659895382011,92.965989538301102,93.138935853125915,93.138935853225917,93.30846257073614,93.308462570836141,93.475119140071769,93.47511914017177,93.641602199184248,93.64160219928425,93.803169135307471,93.803169135407472,93.962784081420253,93.962784081520255,94.115979149276484,94.115979149376486,94.259623925266837,94.259623925366839,94.402379461363537,94.402379461463539,94.544209609603442,94.544209609703444,94.679836767365728,94.67983676746573,94.813931251490203,94.813931251590205,94.94798235805888,94.947982358158882,95.081491245180217,95.081491245280219,95.211002167576467,95.211002167676469,95.336847686508676,95.336847686608678,95.453489934021292,95.453489934121293,95.564963022802573,95.564963022902575,95.672828544860849,95.672828544960851,95.780079551545484,95.780079551645485,95.884850807957591,95.884850808057593,95.988082161139232,95.988082161239234,96.086404620924256,96.086404621024258,96.184372830670355,96.184372830770357,96.280526412666021,96.280526412766022,96.376123316029066,96.376123316129068,96.471308132612123,96.471308132712124,96.565813367487863,96.565813367587864,96.659986041102542,96.659986041202544,96.750768035773177,96.750768035873179,96.84115240284909,96.841152402949092,96.929873963619826,96.929873963719828,97.017019473196939,97.017019473296941,97.100795992607885,97.100795992707887,97.184261639535691,97.184261639635693,97.266794669014061,97.266794669114063,97.349190336232454,97.349190336332455,97.43053048292667,97.430530483026672,97.509296894644166,97.509296894744168,97.587282510357483,97.587282510457484,97.664046324916114,97.664046325016116,97.740361904731614,97.740361904831616,97.81613526509976,97.816135265199762,97.890592839609027,97.890592839709029,97.964464817115157,97.964464817215159,98.03636311583297,98.036363115932971,98.107769802251838,98.107769802351839,98.179024667225463,98.179024667325464,98.248074506446557,98.248074506546558,98.31583024858665,98.315830248686652,98.380723072044773,98.380723072144775,98.444104910642963,98.444104910742965,98.507038514498007,98.507038514598008,98.631633313905013,98.631633314005015,98.691957034820177,98.691957034920179,98.751174628062756,98.751174628162758,98.809828313080118,98.80982831318012,98.868301258281676,98.868301258381678,98.926275361591692,98.926275361691694,98.984213316938551,98.984213317038552,99.040907782352818,99.04090778245282,99.097486574285,99.097486574385002,99.153544835547734,99.153544835647736,99.209162091659962,99.209162091759964,99.263449102728032,99.263449102828034,99.317266190275063,99.317266190375065,99.370555517560035,99.370555517660037,99.417981645221047,99.417981645321049,99.464966767731553,99.464966767831555,99.51134460446103,99.511344604561032,99.556131930811645,99.556131930911647,99.600471022419114,99.600471022519116,99.644528159913961,99.644528160013962,99.686647766583633,99.686647766683635,99.728203465028074,99.728203465128075,99.768566280688361,99.768566280788363,99.808336269752871,99.808336269852873,99.847737549593205,99.847737549693207,99.886733972246176,99.886733972346178,99.925390604045475,99.925390604145477,99.963230291877451,99.963230291977453,100.0],[0.0,1e-10,1.1104802089779404,1.1104802090779404,2.210907487899854,2.210907487999854,3.1053243175629706,3.1053243176629706,3.8384872651128146,3.8384872652128146,4.4745985113885274,4.4745985114885274,5.0793073526669161,5.0793073527669161,5.6763148264754832,5.6763148265754833,6.2513804124604597,6.2513804125604597,6.8258535855631424,6.8258535856631424,7.3801394983104025,7.3801394984104025,7.8828086122904599,7.8828086123904599,8.3790425848086532,8.3790425849086532,8.8676520678646487,8.8676520679646487,9.3359748013788835,9.3359748014788835,9.7943667052021457,9.7943667053021457,10.247476637677929,10.247476637777929,10.696322101848347,10.696322101948347,11.14417719639111,11.14417719649111,11.589337038431225,11.589337038531225,12.02329982477241,12.02329982487241,12.429211182801613,12.429211182901613,12.83439446087624,12.83439446097624,13.222054075447895,13.222054075547895,13.605168843098136,13.605168843198136,13.9776111343956,13.9776111344956,14.325031895328694,14.325031895428694,14.671643176063842,14.671643176163842,15.01582601620516,15.01582601630516,15.345469868433691,15.345469868533691,15.672115478364811,15.672115478464811,15.996038702378822,15.996038702478822,16.312409792702521,16.312409792802519,16.624416925534515,16.624416925634513,16.926692207048212,16.926692207148211,17.228442909215754,17.228442909315753,17.528615351109096,17.528615351209094,17.828285824834996,17.828285824934994,18.12785680937456,18.127856809474558,18.423371348452918,18.423371348552916,18.710067527833004,18.710067527933003,18.993941832109648,18.993941832209646,19.272918555076942,19.27291855517694,19.551533499184821,19.551533499284819,19.827398923961137,19.827398924061136,20.099176247626051,20.099176247726049,20.363500926786994,20.363500926886992,20.623362159269888,20.623362159369886,20.880184449333683,20.880184449433681,21.136269614971422,21.13626961507142,21.389655005870768,21.389655005970766,21.642913774169315,21.642913774269314,21.892563798345186,21.892563798445185,22.141028996756472,22.14102899685647,22.386975309859071,22.38697530995907,22.625979991096621,22.625979991196619,22.859612256271845,22.859612256371843,23.092285807469612,23.09228580756961,23.321929460719769,23.321929460819767,23.548484426957661,23.548484427057659,23.771005558913064,23.771005559013062,23.992165497909912,23.992165498009911,24.21174717663256,24.211747176732558,24.429533527765351,24.429533527865349,24.645257739399472,24.645257739499471,24.86090959526171,24.860909595361708,25.074282244309625,25.074282244409623,25.286519812186121,25.286519812286119,25.498372990024489,25.498372990124487,25.708602685231227,25.708602685331226,25.916964697076232,25.91696469717623,26.124589584495173,26.124589584595171,26.332178294028171,26.33217829412817,26.538301799180534,26.538301799280532,26.743633913077925,26.743633913177923,26.944145323673595,26.944145323773594,27.143702542527556,27.143702542627555,27.343020082887154,27.343020082987152,27.542125078166844,27.542125078266842,27.740407026541362,27.74040702664136,27.938227706870126,27.938227706970125,28.135754441875612,28.13575444197561,28.332326985139392,28.332326985239391,28.52806291479077,28.528062914890768,28.723387320989559,28.723387321089557,28.917680657439014,28.917680657539012,29.107017623514469,29.107017623614468,29.295929499430109,29.295929499530107,29.483837439010866,29.483837439110864,29.671342899610526,29.671342899710524,30.045824719227948,30.045824719327946,30.229784747005329,30.229784747105327,30.412862938812886,30.412862938912884,30.595665274240133,30.595665274340131,30.777992774914399,30.777992775014397,30.959831874128451,30.959831874228449,31.141313716718834,31.141313716818832,31.322320724556228,31.322320724656226,31.499529054369756,31.499529054469754,31.674327032532421,31.674327032632419,31.846348357949068,31.846348358049067,32.017316002437667,32.017316002537669,32.188093713025069,32.18809371312507,32.358360410973546,32.358360411073548,32.526316246457505,32.526316246557506,32.693019422640738,32.69301942274074,32.859672854230794,32.859672854330796,33.02500579298399,33.025005793083992,33.19024376478658,33.190243764886581,33.354419011189641,33.354419011289643,33.517784777394752,33.517784777494754,33.680788764740456,33.680788764840457,33.842612448557304,33.842612448657306,34.003219650959373,34.003219651059375,34.162302859916153,34.162302860016155,34.320101753921996,34.320101754021998,34.477656447197745,34.477656447297747,34.63493076185744,34.634930761957442,34.791784508593061,34.791784508693063,34.946937894689427,34.946937894789428,35.099793985028505,35.099793985128507,35.250149279001867,35.250149279101869,35.400359861431461,35.400359861531463,35.700667970397085,35.700667970497086,35.850349451244782,35.850349451344783,35.996756833414764,35.996756833514766,36.1428838369687,36.142883837068702,36.288490783412222,36.288490783512223,36.432926470798385,36.432926470898387,36.575684408724008,36.57568440882401,36.717198731820389,36.717198731920391,36.857424217730092,36.857424217830093,36.997586392339407,36.997586392439409,37.13767168894109,37.137671689041092,37.276563115306701,37.276563115406702,37.415260085535373,37.415260085635374,37.553097830972938,37.55309783107294,37.690827042752673,37.690827042852675,37.82792314152843,37.827923141628432,37.963630913931183,37.963630914031185,38.098728184508666,38.098728184608667,38.232921007937613,38.232921008037614,38.367082175716355,38.367082175816357,38.50042029658993,38.500420296689931,38.632835881371989,38.632835881471991,38.765129365788994,38.765129365888995,38.89719673841887,38.897196738518872,39.028350619428721,39.028350619528723,39.159359788894797,39.159359788994799,39.290065968566118,39.29006596866612,39.42073144811576,39.420731448215761,39.550917570676667,39.550917570776669,39.68094089275084,39.680940892850842,39.810493902307769,39.810493902407771,39.939305265202897,39.939305265302899,40.06759204875187,40.067592048851871,40.193830259509404,40.193830259609406,40.319987070023565,40.319987070123567,40.446107702651787,40.446107702751789,40.572042923614553,40.572042923714555,40.697896744333953,40.697896744433955,40.823293819243347,40.823293819343348,40.947641735460422,40.947641735560424,41.070565147418556,41.070565147518558,41.193312192182717,41.193312192282718,41.315625102315586,41.315625102415588,41.437431522045266,41.437431522145268,41.559165586003068,41.55916558610307,41.680262014721144,41.680262014821146,41.800652974663357,41.800652974763359,41.920899223061809,41.920899223161811,42.040648025528562,42.040648025628563,42.159827026291737,42.159827026391739,42.278531192301926,42.278531192401928,42.396579634129424,42.396579634229425,42.631279146939917,42.631279147039919,42.747735761785989,42.747735761885991,42.863911998016007,42.863911998116009,42.977094514184351,42.977094514284353,43.090227285759532,43.090227285859534,43.202781211159646,43.202781211259648,43.315077369122427,43.315077369222429,43.426799203145883,43.426799203245885,43.538204480667353,43.538204480767355,43.649216323679205,43.649216323779207,43.7601377219762,43.760137722076202,43.870104928531489,43.870104928631491,43.978719986599714,43.978719986699716,44.086077863131457,44.086077863231459,44.193390517305779,44.193390517405781,44.30025999237732,44.300259992477322,44.406713421760529,44.40671342186053,44.513031184071458,44.51303118417146,44.619285635081987,44.619285635181988,44.725503908206576,44.725503908306578,44.831586514258881,44.831586514358882,44.937474664174253,44.937474664274255,45.043019124173178,45.043019124273179,45.148346516856456,45.148346516956458,45.253542764703191,45.253542764803193,45.35841341157645,45.358413411676452,45.463098646784267,45.463098646884269,45.5671507689881,45.567150769088101,45.775114824087744,45.775114824187746,45.878904656618502,45.878904656718504,45.981654374928432,45.981654375028434,46.084363393116689,46.084363393216691,46.186380509236308,46.18638050933631,46.288049413203737,46.288049413303739,46.389112337581643,46.389112337681645,46.489044703023872,46.489044703123874,46.58889566822274,46.588895668322742,46.688520521634466,46.688520521734468,46.788086585981539,46.78808658608154,46.887589339028217,46.887589339128219,46.986924769352413,46.986924769452415,47.086183321668983,47.086183321768985,47.283845723746751,47.283845723846753,47.381634549446943,47.381634549546945,47.479161085474054,47.479161085574056,47.576615265729288,47.57661526582929,47.673865945376093,47.673865945476095,47.770926691121709,47.77092669122171,47.867779414023161,47.867779414123163,47.964500992088077,47.964500992188078,48.06075677987149,48.060756779971491,48.156917600704311,48.156917600804313,48.252902054343167,48.252902054443169,48.444789561377505,48.444789561477506,48.540588603350905,48.540588603450907,48.636247456016285,48.636247456116287,48.731838475145523,48.731838475245524,48.827221471430597,48.827221471530599,48.922509500765074,48.922509500865075,49.017594029491129,49.01759402959113,49.112343912772225,49.112343912872227,49.205090445619298,49.2050904457193,49.297543033143107,49.297543033243109,49.389973009488195,49.389973009588196,49.482050251445351,49.482050251545353,49.573964692915773,49.573964693015775,49.665386210690237,49.665386210790238,49.848043834573723,49.848043834673724,50.030402990898189,50.030402990998191,50.121191395668674,50.121191395768676,50.211875789017078,50.21187578911708,50.302528526715285,50.302528526815287,50.393117953113098,50.3931179532131,50.483485789959516,50.483485790059518,50.573812926684248,50.57381292678425,50.664049618694129,50.664049618794131,50.754195865989153,50.754195866089155,50.844229057390606,50.844229057490608,50.933629135788088,50.93362913588809,51.022717179919319,51.02271718001932,51.111769046164611,51.111769046264612,51.200748556638018,51.20074855673802,51.289696411461229,51.289696411561231,51.378318665310964,51.378318665410966,51.466479651114938,51.466479651214939,51.730293317636956,51.730293317736958,51.817414189220109,51.817414189320111,51.904295382308902,51.904295382408904,51.990792185359567,51.990792185459568,52.076931731786559,52.07693173188656,52.249129424397175,52.249129424497177,52.334861969607317,52.334861969707319,52.420088024414284,52.420088024514286,52.50487542235421,52.504875422454212,52.588523216886969,52.588523216986971,52.671759487967144,52.671759488067146,52.754303856978687,52.754303857078689,52.836242246400708,52.83624224650071,52.918017835335988,52.91801783543599,52.999734635206622,52.999734635306623,53.081189145404167,53.081189145504169,53.162435632757557,53.162435632857559,53.243564541981634,53.243564542081636,53.324593962019371,53.324593962119373,53.405514848399285,53.405514848499287,53.486304589942655,53.486304590042657,53.565660782755593,53.565660782855595,53.644487873986634,53.644487874086636,53.723097897902029,53.723097898002031,53.801640088281275,53.801640088381276,54.037112903403781,54.037112903503782,54.115239048094701,54.115239048194702,54.193148125469975,54.193148125569977,54.270668290571372,54.270668290671374,54.348165844494062,54.348165844594064,54.425618176059324,54.425618176159325,54.580292205166963,54.580292205266964,54.65682652287645,54.656826522976452,54.733279440342578,54.73327944044258,54.809578601793447,54.809578601893449,54.961652345349037,54.961652345449039,55.037341004974643,55.037341005074644,55.112622663383405,55.112622663483407,55.187841010491766,55.187841010591768,55.262901079349135,55.262901079449136,55.33761293605432,55.337612936154322,55.412161992272765,55.412161992372766,55.486588948126155,55.486588948226157,55.560803358899641,55.560803358999642,55.709182435853442,55.709182435953444,55.783315446383561,55.783315446483563,55.85738966784902,55.857389667949022,55.931147332812493,55.931147332912495,56.004755763996457,56.004755764096458,56.078020505263972,56.078020505363973,56.151258113117031,56.151258113217033,56.224278653654444,56.224278653754446,56.370260945664612,56.370260945764613,56.443096074536577,56.443096074636578,56.5157684029218,56.515768403021802,56.660715102946888,56.66071510304689,56.732831196335759,56.732831196435761,56.804807100416603,56.804807100516605,56.876755871082999,56.876755871183001,56.948306685004034,56.948306685104036,57.019708265145553,57.019708265245555,57.090558132526468,57.09055813262647,57.161267810599362,57.161267810699364,57.231954877493536,57.231954877593537,57.302619333209002,57.302619333309003,57.373071243844556,57.373071243944558,57.443337742814663,57.443337742914665,57.512460116141867,57.512460116241868,57.581274977438568,57.58127497753857,57.649899904834072,57.649899904934074,57.718420820807495,57.718420820907497,57.786860336537551,57.786860336637552,57.855051129301756,57.855051129401758,57.922970587921398,57.9229705880214,57.9907905573547,57.990790557454702,58.126222473377148,58.126222473477149,58.193590219236178,58.19359021933618,58.260618797414509,58.26061879751451,58.394282519261559,58.39428251936156,58.460845307158394,58.460845307258396,58.527380961640766,58.527380961740768,58.59388948270869,58.593889482808692,58.660352781419185,58.660352781519187,58.726576401635313,58.726576401735315,58.792723143843816,58.792723143943817,58.858811096987665,58.858811097087667,58.924849305538345,58.924849305638347,58.990711146895059,58.990711146995061,59.122299162536208,59.12229916263621,59.188020814584895,59.188020814684897,59.253113875865353,59.253113875965354,59.318161714788381,59.318161714888383,59.383123631232294,59.383123631332296,59.447592623980256,59.447592624080258,59.511754104697715,59.511754104797717,59.640031843775205,59.640031843875207,59.704044090713154,59.704044090813156,59.767979459643477,59.767979459743479,59.831837950566175,59.831837950666177,59.895615041245506,59.895615041345508,59.959206720259381,59.959206720359383,60.086258933450601,60.086258933550603,60.149696856449225,60.149696856549227,60.212908667660713,60.212908667760715,60.402435567637362,60.402435567737363,60.465516234012313,60.465516234112314,60.528438622136271,60.528438622236273,60.591288654488345,60.591288654588347,60.654116075661705,60.654116075761706,60.716893752241901,60.716893752341903,60.905018759138308,60.90501875923831,60.967547712752648,60.96754771285265,61.029918388116002,61.029918388216004,61.092004162627553,61.092004162727555,61.153696502629501,61.153696502729503,61.276918382146647,61.276918382246649,61.399837271869032,61.399837271969034,61.461167833011558,61.46116783311156,61.522421516146458,61.52242151624646,61.583602843509482,61.583602843609484,61.644734426279328,61.64473442637933,61.705816264456004,61.705816264556006,61.766843835803769,61.766843835903771,61.827826184794112,61.827826184894114,61.88861407764751,61.888614077747512,61.949221081071208,61.94922108117121,62.009719550837076,62.009719550937078,62.07005522011621,62.070055220216211,62.130309489151969,62.130309489251971,62.190518535830307,62.190518535930309,62.250537648607448,62.25053764870745,62.310457272198256,62.310457272298258,62.370173395180636,62.370173395280638,62.429649839668656,62.429649839768658,62.548557506287267,62.548557506387269,62.667306894654878,62.66730689475488,62.726602449713191,62.726602449813193,62.785712593106048,62.78571259320605,62.844772991905742,62.844772992005744,62.903308811359274,62.903308811459276,62.961623041261419,62.96162304136142,63.019883004334652,63.019883004434654,63.078020867042831,63.078020867142833,63.194093091850768,63.194093091950769,63.251991276064587,63.251991276164588,63.309866849099684,63.309866849199686,63.367715288720333,63.367715288820335,63.42533761655384,63.425337616653842,63.482923766501415,63.482923766601417,63.540469216327295,63.540469216427297,63.655492282442928,63.65549228254293,63.712902065196531,63.712902065296532,63.770275670064194,63.770275670164196,63.827572396924225,63.827572397024227,63.884846512605549,63.88484651270555,63.999354043846509,63.999354043946511,64.113554063056966,64.113554063156968,64.170502577764822,64.170502577864823,64.284336295880124,64.284336295980125,64.398079569280554,64.398079569380556,64.454526115820968,64.45452611592097,64.510818906346131,64.510818906446133,64.56696246309177,64.566962463191771,64.623078886422959,64.623078886522961,64.678905886666627,64.678905886766628,64.734389196993831,64.734389197093833,64.789759451427486,64.789759451527487,64.900386904401202,64.900386904501204,64.955630536234054,64.955630536334056,65.010756589937586,65.010756590037587,65.120705707549902,65.120705707649904,65.175365970971953,65.175365971071955,65.229822733785568,65.22982273388557,65.284157396234136,65.284157396334138,65.338469447503982,65.338469447603984,65.392745320887897,65.392745320987899,65.446980494150125,65.446980494250127,65.501174967290666,65.501174967390668,65.555292562423588,65.55529256252359,65.609238312598279,65.609238312698281,65.663138840415542,65.663138840515543,65.716989623639648,65.71698962373965,65.770596206133632,65.770596206233634,65.824139477327222,65.824139477427224,65.931185319592728,65.93118531969273,65.984516045706414,65.984516045806416,66.037815116169909,66.037815116269911,66.091019219682792,66.091019219782794,66.144105745066383,66.144105745166385,66.196916414069648,66.19691641416965,66.249650205065308,66.24965020516531,66.302148839802328,66.30214883990233,66.354611296653417,66.354611296753419,66.459495510233907,66.459495510333909,66.511881089077377,66.511881089177379,66.563990811540535,66.563990811640537,66.616041744939025,66.616041745039027,66.668056500451584,66.668056500551586,66.719845144177015,66.719845144277016,66.771602132252241,66.771602132352243,66.875034708159319,66.875034708259321,66.926556539975934,66.926556540075936,67.029505236658551,67.029505236758553,67.080841656809696,67.080841656909698,67.132110243424719,67.132110243524721,67.183261251910423,67.183261252010425,67.234380604745922,67.234380604845924,67.285355246037668,67.285355246137669,67.336221353671576,67.336221353771577,67.387015105533607,67.387015105633608,67.437523956543842,67.437523956643844,67.488005674139629,67.488005674239631,67.588883186852087,67.588883186952089,67.639197581725398,67.6391975818254,67.689457709769783,67.689457709869785,67.739451025905353,67.739451026005355,67.789367464033305,67.789367464133306,67.889155117931764,67.889155118031766,67.938899711101499,67.938899711201501,67.98859908191379,67.988599082013792,68.038253230368653,68.038253230468655,68.087753622808279,68.087753622908281,68.137195226183238,68.137195226283239,68.235938243625142,68.235938243725144,68.28522609098485,68.285226091084851,68.33444158257268,68.334441582672682,68.383598285095857,68.383598285195859,68.43265549843268,68.432655498532682,68.481577044697232,68.481577044797234,68.530417190718424,68.530417190818426,68.579062880602663,68.579062880702665,68.627658825893747,68.627658825993748,68.676173370941456,68.676173371041457,68.724565815624103,68.724565815724105,68.772836159941704,68.772836160041706,68.820988926129999,68.820988926230001,68.869091947725124,68.869091947825126,68.917131658019855,68.917131658119857,68.965139712664381,68.965139712764383,69.012871910928595,69.012871911028597,69.060572453542619,69.060572453642621,69.108037839898017,69.108037839998019,69.155444437188763,69.155444437288764,69.202801289886352,69.202801289986354,69.250094831283519,69.250094831383521,69.297361239266252,69.297361239366253,69.439101674149768,69.43910167424977,69.533503345278675,69.533503345378676,69.62783266063569,69.627832660735692,69.674909134717225,69.674909134817227,69.721908730791128,69.72190873089113,69.768858582271861,69.768858582371863,69.862717585111639,69.862717585211641,69.909549858463066,69.909549858563068,69.956327864985582,69.956327865085584,70.002979248907295,70.002979249007296,70.0496080216503,70.049608021750302,70.096173483092898,70.096173483192899,70.142612321934706,70.142612322034708,70.235259365595439,70.235259365695441,70.281381647935262,70.281381648035264,70.327481319096364,70.327481319196366,70.373418189770746,70.373418189870748,70.419246526787276,70.419246526887278,70.465038685917889,70.465038686017891,70.510808233869767,70.510808233969769,70.556505426049782,70.556505426149783,70.647850065816613,70.647850065916614,70.739104260868601,70.739104260968602,70.830240877791283,70.830240877891285,70.875752658305842,70.875752658405844,70.921232783170197,70.921232783270199,70.966681252384348,70.966681252484349,71.012107110419791,71.012107110519793,71.057496790569289,71.05749679066929,71.193616086424626,71.193616086524628,71.238951499745212,71.238951499845214,71.284241690708384,71.284241690808386,71.329400736834998,71.329400736935,71.374532649547177,71.374532649647179,71.509869598619019,71.509869598719021,71.599988712499581,71.599988712599583,71.64487190224591,71.644871902345912,71.689646558334402,71.689646558434404,71.734299114057833,71.734299114157835,71.778816002709007,71.778816002809009,71.823228879938071,71.823228880038073,71.867429212087245,71.867429212187247,71.911570755171766,71.911570755271768,71.999799574511883,71.999799574611885,72.087924382429918,72.08792438252992,72.17594065669013,72.175940656790132,72.263889097414207,72.263889097514209,72.30783618436179,72.307836184461792,72.351683782123018,72.35168378222302,72.395422846226438,72.39542284632644,72.439080510086484,72.439080510186486,72.570003757073451,72.570003757173453,72.613616198576068,72.61361619867607,72.744313333775906,72.744313333875908,72.787753930320306,72.787753930420308,72.874589901051678,72.87458990115168,72.961348993775417,72.961348993875419,73.048026686255781,73.048026686355783,73.091309004549188,73.09130900464919,73.177841985485799,73.1778419855858,73.22102029235711,73.221020292457112,73.307164361019844,73.307164361119845,73.350102989396802,73.350102989496804,73.393009962123557,73.393009962223559,73.435840056842693,73.435840056942695,73.478548051196768,73.478548051296769,73.521138467421537,73.521138467521538,73.563647483402946,73.563647483502947,73.648629337479804,73.648629337579806,73.691052430982097,73.691052431082099,73.733299157290418,73.73329915739042,73.775523272420017,73.775523272520019,73.817711209663699,73.817711209763701,73.902001161671919,73.902001161771921,73.986105702014697,73.986105702114699,74.154029881848444,74.154029881948446,74.195964573890535,74.195964573990537,74.279775168910021,74.279775169010023,74.321619416237255,74.321619416337256,74.363441052385767,74.363441052485769,74.446971268789213,74.446971268889214,74.488607493272269,74.488607493372271,74.530216584340877,74.530216584440879,74.613308143877276,74.613308143977278,74.654650423037069,74.65465042313707,74.737226447698802,74.737226447798804,74.778396881900363,74.778396882000365,74.860715139124778,74.86071513922478,74.942974607284526,74.942974607384528,74.983977718763612,74.983977718863613,75.024917518942289,75.02491751904229,75.106715719056282,75.106715719156284,75.147474629805259,75.147474629905261,75.188048128888781,75.188048128988783,75.269145382462668,75.26914538256267,75.309651048010039,75.309651048110041,75.350134102378718,75.350134102478719,75.390594545568675,75.390594545668677,75.430973588515258,75.430973588615259,75.471298364632929,75.471298364732931,75.551861994389171,75.551861994489173,75.632276390365902,75.632276390465904,75.71255964150609,75.712559641606092,75.752626650186428,75.75262665028643,75.792612258623407,75.792612258723409,75.832439588809379,75.832439588909381,75.912035460116684,75.912035460216686,76.071091535659008,76.07109153575901,76.190189136178802,76.190189136278804,76.26949558439857,76.269495584498571,76.348716110139236,76.348716110239238,76.427882369050977,76.427882369150979,76.506971749955099,76.506971750055101,76.546441823517398,76.5464418236174,76.585884763665248,76.58588476376525,76.62526439251269,76.625264392612692,76.664567143352528,76.66456714345253,76.743136467146229,76.743136467246231,76.782366862214175,76.782366862314177,76.821542990453196,76.821542990553198,76.860691985277768,76.86069198537777,76.938908574683552,76.938908574783554,76.977799802070791,76.977799802170793,77.016659373807826,77.016659373907828,77.055496334366154,77.055496334466156,77.094301639274278,77.094301639374279,77.1330210217033,77.133021021803302,77.171717792953601,77.171717793053602,77.210382908553697,77.210382908653699,77.326328510760845,77.326328510860847,77.364925792824806,77.364925792924808,77.403459763588373,77.403459763688375,77.441966600937477,77.441966601037478,77.518939575514011,77.518939575614013,77.634297287074602,77.634297287174604,77.711098416692906,77.711098416792908,77.787800057124883,77.787800057224885,77.864420297313487,77.864420297413488,77.902597011453381,77.902597011553382,77.940746592178812,77.940746592278813,78.055168200940656,78.055168201040658,78.093240903658469,78.09324090375847,78.169196375192897,78.169196375292898,78.244781023396413,78.244781023496415,78.320040070626476,78.320040070726478,78.357484182576044,78.357484182676046,78.394905683346906,78.394905683446908,78.469549706515949,78.46954970661595,78.544008318019536,78.544008318119538,78.581126828995636,78.581126829095638,78.65532767306189,78.655327673161892,78.729406416763098,78.7294064168631,78.766371171723947,78.766371171823948,78.803313315506074,78.803313315606076,78.914049302137627,78.914049302237629,78.950887434497673,78.950887434597675,78.987657733321583,78.987657733421585,79.0979234074359,79.097923407535902,79.134521861301579,79.134521861401581,79.207669024439795,79.207669024539797,79.280716698391657,79.280716698491659,79.353610616328268,79.35361061642827,79.389937736049404,79.389937736149406,79.426111099755275,79.426111099855277,79.498380949159397,79.498380949259399,79.606629706132466,79.606629706232468,79.642631224880105,79.642631224980107,79.678551343384399,79.678551343484401,79.750242346613447,79.750242346713449,79.857505256194599,79.857505256294601,79.928834480564248,79.92883448066425,79.964406386916338,79.964406387016339,79.99995568208972,79.999955682189722,80.106544778545214,80.106544778645215,80.177503179583951,80.177503179683953,80.212821840734449,80.212821840834451,80.248099801763274,80.248099801863276,80.283350629377637,80.283350629477638,80.318565279106053,80.318565279206055,80.388931267262507,80.388931267362508,80.459138977167953,80.459138977267955,80.529206497765387,80.529206497865388,80.599215229298153,80.599215229398155,80.634135933703305,80.634135933803307,80.703918553448943,80.703918553548945,80.773633339658431,80.773633339758433,80.843289336803281,80.843289336903283,80.878056285193168,80.878056285293169,80.912773488989899,80.912773489089901,81.016848222372445,81.016848222472447,81.086110785007662,81.086110785107664,81.120665188317659,81.120665188417661,81.155151758091506,81.155151758191508,81.22405706410305,81.224057064203052,81.258439622454816,81.258439622554818,81.327100727736266,81.327100727836267,81.361338574544263,81.361338574644265,81.395549287937811,81.395549288037813,81.429683123323727,81.429683123423729,81.497833215966239,81.49783321606624,81.565815985886289,81.565815985986291,81.599732753956545,81.599732754056546,81.667530112211139,81.667530112311141,81.701392613452498,81.7013926135525,81.735232503515135,81.735232503615137,81.836715995817116,81.836715995917118,81.938063821046811,81.938063821146812,81.971786132980142,81.971786133080144,82.005485833734753,82.005485833834754,82.039081523067296,82.039081523167297,82.072622945570913,82.072622945670915,82.106110101245619,82.106110101345621,82.139547512327169,82.139547512427171,82.172862823043644,82.172862823143646,82.206146478109943,82.206146478209945,82.272677610356567,82.272677610456569,82.372401952954633,82.372401953054634,82.438820029307706,82.438820029407708,82.50517027212463,82.505170272224632,82.538304693411405,82.538304693511407,82.604523791391799,82.6045237914918,82.670684100307525,82.670684100407527,82.703700943464995,82.703700943564996,82.769666796243797,82.769666796343799,82.868527391815007,82.868527391915009,82.934353055285783,82.934353055385785,83.032919705533715,83.032919705633716,83.098505690510123,83.098505690610125,83.13121502163709,83.131215021737091,83.163892697113852,83.163892697213853,83.229166647824016,83.229166647924018,83.261749356350194,83.261749356450196,83.326883117752331,83.326883117852333,83.424518187437272,83.424518187537274,83.457010451248578,83.45701045134858,83.489480103881178,83.48948010398118,83.554365142317465,83.554365142417467,83.58673982799948,83.586739828099482,83.74856803405207,83.748568034152072,83.81323148293697,83.813231483036972,83.91008420583843,83.910084205938432,83.974507976228963,83.974507976328965,84.006674639066802,84.006674639166803,84.038814168490177,84.038814168590179,84.070926564499118,84.07092656459912,84.167223052404211,84.167223052504212,84.231275999463847,84.231275999563849,84.327120263794669,84.32712026389467,84.422842427760443,84.422842427860445,84.518510324897321,84.518510324997322,84.550342342290193,84.550342342390195,84.6139475880113,84.613947588111301,84.677507611374978,84.677507611474979,84.709244661817266,84.709244661917268,84.740909356487663,84.740909356587665,84.804184478999545,84.804184479099547,84.835718028833412,84.835718028933414,84.898753472850942,84.898753472950943,84.930237278091624,84.930237278191626,84.961684905446376,84.961684905546377,84.993100877150937,84.993100877250939,85.024489715441035,85.024489715541037,85.055837853609447,85.055837853709448,85.149837045757252,85.149837045857254,85.181130917096752,85.181130917196754,85.274971830993564,85.274971831093566,85.368699688996799,85.3686996890968,85.399862415499769,85.39986241559977,85.493287283708241,85.493287283808243,85.555481591877637,85.555481591977639,85.586490562365341,85.586490562465343,85.648418058625907,85.648418058725909,85.679255184155394,85.679255184255396,85.740870646149702,85.740870646249704,85.802422796843629,85.802422796943631,85.833169477658259,85.833169477758261,85.863893547294168,85.86389354739417,85.92522863067245,85.925228630772452,85.955821555471829,85.955821555571831,86.047537018569571,86.047537018669573,86.108555545445853,86.108555545545855,86.169461016428556,86.169461016528558,86.230280564932158,86.23028056503216,86.291063935549815,86.291063935649817,86.321408137383358,86.32140813748336,86.382069407635953,86.382069407735955,86.472998001714473,86.472998001814474,86.563854240021101,86.563854240121103,86.715118503378747,86.715118503478749,86.745322515904249,86.745322516004251,86.835871242180374,86.835871242280376,86.865984809991033,86.865984810091035,86.956275768829826,86.956275768929828,87.016358192907362,87.016358193007363,87.076323038855591,87.076323038955593,87.106246672765053,87.106246672865055,87.136143173260052,87.136143173360054,87.16600349586912,87.166003495969122,87.195841207299466,87.195841207399468,87.285313641468832,87.285313641568834,87.344898619614668,87.34489861971467,87.374636841858688,87.37463684195869,87.434077108460755,87.434077108560757,87.463752019404367,87.463752019504369,87.493404319169272,87.493404319269274,87.552650129634415,87.552650129734417,87.58221650692019,87.582216507020192,87.641313083605823,87.641313083705825,87.670829716298442,87.670829716398444,87.75931178084015,87.759311780940152,87.818182245738655,87.818182245838656,87.847581300301954,87.847581300401956,87.876935132507839,87.876935132607841,87.906234697884813,87.906234697984814,87.964802172988541,87.964802173088543,87.994047471536589,87.994047471636591,88.081729100351851,88.081729100451852,88.16928862880205,88.169288628902052,88.256762234773134,88.256762234873136,88.314986019960429,88.314986020060431,88.373123882668608,88.37312388276861,88.431202956312134,88.431202956412136,88.489227763126735,88.489227763226737,88.547184736405214,88.547184736505216,88.662859004467791,88.662859004567792,88.691656601677309,88.691656601777311,88.777990604241239,88.777990604341241,88.806675145557207,88.806675145657209,88.892669980440431,88.892669980540433,88.978551759430076,88.978551759530077,89.035699252510611,89.035699252610613,89.092774389819255,89.092774389919256,89.149772649120266,89.149772649220267,89.206694030413658,89.20669403051366,89.263520444756452,89.263520444856454,89.348642488141337,89.348642488241339,89.433637908925434,89.433637909025435,89.603520216835776,89.603520216935777,89.688389015019069,89.688389015119071,89.77314927954454,89.773149279644542,89.857760310290487,89.857760310390489,89.942213062785456,89.942213062885457,89.998469675424673,89.998469675524674,90.054685587942203,90.054685588042204,90.138943884300232,90.138943884400234,90.195060307631422,90.195060307731424,90.223075558057459,90.223075558157461,90.251063675069048,90.25106367516905,90.33496019256765,90.334960192667651,90.362884998278844,90.362884998378846,90.418693909579531,90.418693909679533,90.446559926226058,90.44655992632606,90.474376198279415,90.474376198379417,90.557784314317814,90.557784314417816,90.585555364013743,90.585555364113745,90.613285713587999,90.613285713688001,90.66867857920036,90.668678579300362,90.751643516135971,90.751643516235973,90.77918393180903,90.779183931909031,90.861755434235022,90.861755434335024,90.916759387573507,90.916759387673508,91.02664971612117,91.026649716221172,91.081481824501438,91.08148182460144,91.108845872980524,91.108845873080526,91.136187310280903,91.136187310380905,91.163492569695336,91.163492569795338,91.190766173459579,91.190766173559581,91.218008121573618,91.21800812167362,91.245227458508936,91.245227458608937,91.326849291428971,91.326849291528973,91.408349023983945,91.408349024083947,91.462620375132119,91.46262037523212,91.489708567230906,91.489708567330908,91.570900787755377,91.570900787855379,91.624946027116408,91.62494602721641,91.651925685557373,91.651925685657375,91.732814916287083,91.732814916387085,91.759740307899136,91.759740307999138,91.840444126963391,91.840444127063392,91.947901492681481,91.947901492781483,92.028383722194349,92.02838372229435,92.081940560095177,92.081940560195179,92.162146933227746,92.162146933327747,92.242253817173975,92.242253817273976,92.268925963584422,92.268925963684424,92.295575498816163,92.295575498916165,92.322202422869196,92.322202422969198,92.375415570853576,92.375415570953578,92.401956572427494,92.401956572527496,92.481525310320336,92.481525310420338,92.534462601924403,92.534462602024405,92.613701216608035,92.613701216708037,92.666444052075178,92.66644405217518,92.719123576241913,92.719123576341914,92.771726222401028,92.77172622250103,92.824224857138049,92.82422485723805,92.876669225046172,92.876669225146173,92.929059326125369,92.929059326225371,92.955215937661166,92.955215937761167,93.033631505439615,93.033631505539617,93.059738372382242,93.059738372482244,93.111888794967072,93.111888795067074,93.163984950723005,93.163984950823007,93.216004228471306,93.216004228571308,93.37179072757165,93.371790727671652,93.475390626201218,93.47539062630122,93.552969580367275,93.552969580467277,93.578791546458106,93.578791546558108,93.630354078396394,93.630354078496396,93.733302775079011,93.733302775179013,93.784725117709272,93.784725117809273,93.810384283313368,93.81038428341337,93.861675481107099,93.861675481207101,93.912907889836163,93.912907889936164,93.938490177432627,93.938490177532628,93.989618574739623,93.989618574839625,94.066256903871192,94.066256903971194,94.117281289756107,94.117281289856109,94.14275956593049,94.142759566030492,94.193612106857174,94.193612106957175,94.244369680833259,94.244369680933261,94.295059421273208,94.29505942137321,94.345667761469798,94.3456677615698,94.370928970328521,94.370928970428523,94.421428776867288,94.421428776967289,94.522274633929541,94.522274634029543,94.622871768025945,94.622871768125947,94.673082151477175,94.673082151577177,94.698153426434715,94.698153426534716,94.773340117892872,94.773340117992873,94.82339674532885,94.823396745428852,94.94845465255753,94.948454652657531,94.99839822409993,94.998398224199931,95.048278484341935,95.048278484441937,95.098090911047805,95.098090911147807,95.172766589867038,95.17276658996704,95.222502138565289,95.222502138665291,95.272174375963118,95.27217437606312,95.296956227833135,95.296956227933137,95.346470186979971,95.346470187079973,95.420648419867518,95.42064841996752,95.519450226374076,95.519450226474078,95.642767072841821,95.642767072941822,95.692036831258562,95.692036831358564,95.765830674107974,95.765830674207976,95.839511461063822,95.839511461163823,95.86403102326075,95.864031023360752,95.937544487494122,95.937544487594124,96.133425128689268,96.13342512878927,96.182324063775098,96.1823240638751,96.328839979602904,96.328839979702906,96.426393649044485,96.426393649144487,96.475116216936357,96.475116217036359,96.523770951292079,96.523770951392081,96.693969815704421,96.693969815804422,96.742511494166592,96.742511494266594,96.863757156664178,96.86375715676418,96.912154123582567,96.912154123682569,97.008880223883224,97.008880223983226,97.057150568200825,97.057150568300827,97.129456595490893,97.129456595590895,97.153519411877809,97.153519411977811,97.201604344529969,97.20160434462997,97.249616921410237,97.249616921510238,97.297579753697335,97.297579753797336,97.321511425247721,97.321511425347722,97.369347634934016,97.369347635034018,97.464947698534743,97.464947698634745,97.512661807855991,97.512661807955993,97.560317128112587,97.560317128212588,97.607913659304529,97.607913659404531,97.655424268017356,97.655424268117358,97.726613303078977,97.726613303178979,97.821417453188985,97.821417453288987,97.892412032113668,97.89241203221367,97.91601358045483,97.916013580554832,98.010360984754826,98.010360984854827,98.057469114486551,98.057469114586553,98.128088347844582,98.128088347944583,98.151590406999404,98.151590407099405,98.198553825187375,98.198553825287377,98.292394739084187,98.292394739184189,98.362656715818545,98.362656715918547,98.456131328620202,98.456131328720204,98.596126180507028,98.59612618060703,98.735949187435637,98.735949187535638,98.828967054427281,98.828967054527283,98.991550473848903,98.991550473948905,99.037921479154576,99.037921479254578,99.176889783527812,99.176889783627814,99.199993885937275,99.199993886037277,99.26922027068656,99.269220270786562,99.315247586075785,99.315247586175786,99.33821149917722,99.338211499277222,99.384094103022676,99.384094103122678,99.49873277910018,99.498732779200182,99.613199610219453,99.613199610319455,99.636041422955842,99.636041423055843,99.773042554781,99.773042554881002,99.818599557652988,99.818599557752989,99.864057071338635,99.864057071438637,99.909433184780909,99.909433184880911,99.954732420215549],[0.0,1e-10,5.6758504655943618,5.6758504656943618,10.161201019861771,10.161201019961771,14.205746897096979,14.205746897196979,18.027244219279115,18.027244219379114,21.752188448124283,21.752188448224281,24.607388470989036,24.607388471089035,27.349995812035498,27.349995812135496,29.975556532697183,29.975556532797182,32.549527300975441,32.549527301075443,34.689734942870125,34.689734942970126,36.821368302220826,36.821368302320828,38.69833374912443,38.698333749224432,40.336147940003826,40.336147940103828,41.85626635346042,41.856266353560422,43.185217035287188,43.18521703538719,44.261095649052002,44.261095649152004,45.29845761189371,45.298457611993712,46.282787051156369,46.282787051256371,47.254304654987912,47.254304655087914,48.145101384354433,48.145101384454435,49.013853822637856,49.013853822737858,49.857271104298171,49.857271104398173,50.699759730751296,50.699759730851298,51.470146845633252,51.470146845733254,52.239235646439141,52.239235646539143,52.990093953760365,52.990093953860367,53.712452463898074,53.712452463998076,54.428057937626285,54.428057937726287,55.124116571653822,55.124116571753824,55.792838481524313,55.792838481624315,56.42094299616808,56.420942996268082,57.042240377982502,57.042240378082504,57.573512301120147,57.573512301220148,58.084227584720175,58.084227584820177,58.587261176703521,58.587261176803523,59.022106231483811,59.022106231583813,59.452515379837564,59.452515379937566,59.85873441245473,59.858734412554732,60.260481474365463,60.260481474465465,60.661254800719156,60.661254800819158,61.047746672236194,61.047746672336196,61.378023347473835,61.378023347573837,61.67140626438345,61.671406264483451,61.946549671738417,61.946549671838419,62.159076473133418,62.159076473233419,62.362442947436222,62.362442947536223,62.557072849935537,62.557072850035539,62.749214317122409,62.74921431722241,62.914199381551697,62.914199381651699,63.078904947811829,63.07890494791183,63.237957438199125,63.237957438299127,63.39545916455112,63.395459164651122,63.551446191147718,63.55144619124772,63.7069102856859,63.706910285785902,63.861382612527088,63.861382612627089,64.015187750190307,64.015187750290309,64.168064232646344,64.168064232746346,64.320769409772893,64.320769409872895,64.471436955085636,64.471436955185638,64.62025620605398,64.620256206153982,64.767659934036629,64.767659934136631,64.910600707382812,64.910600707482814,65.050818627597266,65.050818627697268,65.189368574866791,65.189368574966792,65.323455567499849,65.323455567599851,65.457109788774218,65.45710978887422,65.590475495809471,65.590475495909473,65.720721642634189,65.72072164273419,65.850787468059451,65.850787468159453,65.979203352679718,65.97920335277972,66.107150401661414,66.107150401761416,66.234664679284421,66.234664679384423,66.360943755321173,66.360943755421175,66.486402368990412,66.486402369090413,66.61145525951089,66.611455259610892,66.736390941121726,66.736390941221728,66.858026741122572,66.858026741222574,66.978697821636345,66.978697821736347,67.098936130791444,67.098936130891445,67.218092511549813,67.218092511649814,67.337140699468506,67.337140699568508,67.454692219771758,67.45469221987176,67.570377413590663,67.570377413690665,67.683105336458539,67.68310533655854,67.795265246918149,67.79526524701815,67.906676823570024,67.906676823670026,68.017763821702886,68.017763821802887,68.127696762879253,68.127696762979255,68.23677317740821,68.236773177508212,68.343857040473225,68.343857040573226,68.450399939339874,68.450399939439876,68.55664530789744,68.556645307997442,68.662800515755265,68.662800515855267,68.768540984394349,68.768540984494351,68.872676592578316,68.872676592678317,68.976199108004138,68.97619910810414,69.079541302030506,69.079541302130508,69.182333515788542,69.182333515888544,69.284584765348214,69.284584765448216,69.38619587393984,69.386195874039842,69.487175857633375,69.487175857733376,69.689009600040819,69.689009600140821,69.789845326614795,69.789845326714797,69.890446635369486,69.890446635469488,69.990470915645915,69.990470915745917,70.190032608420267,70.190032608520269,70.28922741025923,70.289227410359231,70.387538637240866,70.387538637340867,70.485462173213676,70.485462173313678,70.582961953897765,70.582961953997767,70.679794545403894,70.679794545503896,70.776536976210295,70.776536976310297,70.969967741403238,70.96996774150324,71.066466738320386,71.066466738420388,71.162379690689292,71.162379690789294,71.449523487177842,71.449523487277844,71.543840595161598,71.543840595261599,71.732033023700453,71.732033023800454,71.825863263905688,71.82586326400569,71.918963202443138,71.918963202543139,72.105045870608393,72.105045870708395,72.197992535956317,72.197992536056319,72.290894120954363,72.290894121054365,72.383741609532578,72.38374160963258,72.476507953481047,72.476507953581049,72.567705501254267,72.567705501354268,72.658497325878727,72.658497325978729,72.748973588054142,72.748973588154143,72.929385148206606,72.929385148306608,73.01908602836437,73.019086028464372,73.108723796032336,73.108723796132338,73.198298451210491,73.198298451310492,73.287683768919209,73.28768376901921,73.466355227566964,73.466355227666966,73.555298757847027,73.555298757947028,73.64340379361964,73.643403793719642,73.81920814201608,73.819208142116082,73.906817293940193,73.906817294040195,73.994119899485241,73.994119899585243,74.081323328260595,74.081323328360597,74.168256274936752,74.168256275036754,74.25465727348454,74.254657273584542,74.340030440055443,74.340030440155445,74.425349510206502,74.425349510306503,74.510551371447932,74.510551371547933,74.595599959499808,74.595599959599809,74.850637530815803,74.850637530915805,75.020193742721219,75.02019374282122,75.104710382644711,75.104710382744713,75.188920476189139,75.188920476289141,75.273004344753957,75.273004344853959,75.525102677258872,75.525102677358873,75.608663613765273,75.608663613865275,75.692125373501966,75.692125373601968,75.775280586859594,75.775280586959596,75.94084267976713,75.940842679867131,76.022654498698842,76.022654498798843,76.104349108720911,76.104349108820912,76.185953558043252,76.185953558143254,76.26727850919643,76.267278509296432,76.348341994320421,76.348341994420423,76.427791602919299,76.427791603019301,76.507078922258671,76.507078922358673,76.586231000548452,76.586231000648453,76.66519374136881,76.665193741468812,76.743886000089987,76.743886000189988,76.822406953481675,76.822406953581677,76.97936771563532,76.979367715735322,77.057753427977431,77.057753428077433,77.13558014398123,77.135580144081231,77.213343747495216,77.213343747595218,77.290972109959625,77.290972110059627,77.368528343864256,77.368528343964257,77.446039497419008,77.44603949751901,77.523406393854216,77.523406393954218,77.600322486790787,77.600322486890789,77.677175467237547,77.677175467337548,77.753884190564733,77.753884190664735,77.830520785332155,77.830520785432157,77.907112299749699,77.9071122998497,78.136318830594092,78.136318830694094,78.212315284393441,78.212315284493442,78.288248625702991,78.288248625802993,78.36392050098334,78.363920501083342,78.515174090844297,78.515174090944299,78.590557451885516,78.590557451985518,78.665751475457313,78.665751475557315,78.740864354399349,78.740864354499351,78.815869040501724,78.815869040601726,78.890747501624475,78.890747501724476,78.965400560997907,78.965400561097908,79.113796056677543,79.113796056777545,79.260875206141165,79.260875206241167,79.407097828957404,79.407097829057406,79.479623095817288,79.47962309591729,79.551760671668362,79.551760671768363,79.695873534110987,79.695873534210989,79.767695547513014,79.767695547613016,79.839427400215328,79.83942740031533,79.911096140427816,79.911096140527818,79.982548494960966,79.982548495060968,80.053865608444525,80.053865608544527,80.125029448738545,80.125029448838546,80.196085096192903,80.196085096292904,80.267068615087467,80.267068615187469,80.337970989352286,80.337970989452288,80.408783202917377,80.408783203017379,80.479225757613591,80.479225757713593,80.54930766951091,80.549307669610911,80.619335484988383,80.619335485088385,80.689155930856487,80.689155930956488,80.758895232094829,80.758895232194831,80.828427163723802,80.828427163823804,80.966950062783397,80.966950062883399,81.104652499475492,81.104652499575494,81.17330987231712,81.173309872417121,81.241642666639734,81.241642666739736,81.378173014235387,81.378173014335388,81.446145165759091,81.446145165859093,81.581981275966839,81.581981276066841,81.649782122161071,81.649782122261072,81.717510839795523,81.717510839895525,81.785095300310417,81.785095300410418,81.920047835660853,81.920047835760855,81.987352798006583,81.987352798106585,82.054594647862515,82.054594647962517,82.121710272738824,82.121710272838826,82.255698088602188,82.255698088702189,82.322380942119807,82.322380942219809,82.388847409958089,82.388847410058091,82.45502536355724,82.455025363657242,82.520824642217548,82.52082464231755,82.652296974558539,82.65229697465854,82.717780690769814,82.717780690869816,82.914096598354007,82.914096598454009,82.979427041375743,82.979427041475745,83.044640275487822,83.044640275587824,83.174922486592422,83.174922486692424,83.305024376297581,83.305024376397583,83.49978050377652,83.499780503876522,83.629197172163757,83.629197172263758,83.758496631641336,83.758496631741338,83.887678882209286,83.887678882309288,84.016689827447749,84.016689827547751,84.080992438492601,84.080992438592602,84.145015551368289,84.14501555146829,84.208930471404315,84.208930471504317,84.272800311090478,84.27280031119048,84.336264427627867,84.336264427727869,84.463075451793017,84.463075451893019,84.65303503004651,84.653035030146512,84.779494427482717,84.779494427582719,84.842651997641042,84.842651997741044,84.905764487449488,84.90576448754949,85.031917338506631,85.031917338606632,85.094849506915637,85.094849507015638,85.157619386065136,85.157619386165138,85.220335168794804,85.220335168894806,85.282888662264966,85.282888662364968,85.407905488505548,85.40790548860555,85.470305708786171,85.470305708886173,85.532597736227117,85.532597736327119,85.65712769468918,85.657127694789182,85.719329561430413,85.719329561530415,85.84367018242304,85.843670182523041,85.905727792044701,85.905727792144702,85.967686224896667,85.967686224996669,86.029274998879757,86.029274998979758,86.090584274693683,86.090584274793684,86.151686180898253,86.151686180998254,86.273691639767975,86.273691639867977,86.334577160293193,86.334577160393195,86.3953995683286,86.395399568428601,86.456131815664293,86.456131815764294,86.516818982650108,86.51681898275011,86.638012995222297,86.638012995322299,86.698420664038963,86.698420664138965,86.75862997931624,86.758629979416241,87.059442137883295,87.059442137983297,87.119471131761117,87.119471131861118,87.239411910607103,87.239411910707105,87.299305663435334,87.299305663535335,87.418885799482425,87.418885799582426,87.478554150561337,87.478554150661338,87.717110345967342,87.717110346067344,87.776544279226968,87.77654427932697,87.895186743996902,87.895186744096904,87.954332163017398,87.9543321631174,88.013342340988302,88.013342341088304,88.130884845221573,88.130884845321575,88.189245866154451,88.189245866254453,88.305895779460442,88.305895779560444,88.422347339227017,88.422347339327018,88.480419845920778,88.48041984602078,88.538438256194695,88.538438256294697,88.65433081962297,88.654330819722972,88.770034045581824,88.770034045681825,88.885529901931307,88.885529902031308,88.943160621196398,88.9431606212964,89.115917537942096,89.115917538042098,89.173376951877714,89.173376951977716,89.230592931924079,89.230592932024081,89.287583510221111,89.287583510321113,89.344456879608501,89.344456879708503,89.458122473753548,89.45812247385355,89.514851586021379,89.514851586121381,89.571463489379568,89.571463489479569,89.628021296317925,89.628021296417927,89.740983637005087,89.740983637105089,89.853684511663047,89.853684511763049,89.966069823871976,89.966069823971978,90.134246577071579,90.134246577171581,90.190191291251793,90.190191291351795,90.245874539402791,90.245874539502793,90.357141858935108,90.35714185903511,90.412662817826615,90.412662817926616,90.468075583878431,90.468075583978433,90.578720794582637,90.578720794682638,90.689149619607505,90.689149619707507,90.909727771488065,90.909727771588067,91.019777921574075,91.019777921674077,91.1295936538408,91.129593653940802,91.184303166434759,91.184303166534761,91.293604982713035,91.293604982813036,91.402771557941733,91.402771558041735,91.457237636646425,91.457237636746427,91.511496345741762,91.511496345841763,91.619968683582556,91.619968683682558,91.674092151628301,91.674092151728303,91.728161523254201,91.728161523354203,91.782185814530237,91.782185814630239,91.890054075682869,91.890054075782871,91.997696935086196,91.997696935186198,92.051162230023934,92.051162230123936,92.104582444611808,92.104582444711809,92.211197472038236,92.211197472138238,92.317514969155567,92.317514969255569,92.423742305573185,92.423742305673187,92.476702700592455,92.476702700692456,92.529599983121912,92.529599983221914,92.582434153161572,92.582434153261573,92.7407473258111,92.740747325911101,92.845991910601697,92.845991910701699,92.898483469982395,92.898483470082397,93.160824057976214,93.160824058076216,93.213207424517236,93.213207424617238,93.265473582148616,93.265473582248617,93.317577450520488,93.31757745062049,93.525785554398595,93.525785554498597,93.577655004951168,93.57765500505117,93.629470359083925,93.629470359183927,93.733019922719663,93.733019922819665,93.784700035802814,93.784700035902816,93.836308020326186,93.836308020426188,93.991059845336537,93.991059845436538,94.145586268597555,94.145586268697556,94.248414546635487,94.248414546735489,94.351152663973693,94.351152664073695,94.453575218862838,94.45357521896284,94.555646147023069,94.55564614712307,94.606577926298499,94.606577926398501,94.708369356289566,94.708369356389568,94.809854239901568,94.80985424000157,94.911032577134506,94.911032577234508,94.961531585051247,94.961531585151249,95.062457472324951,95.062457472424953,95.163103861429491,95.163103861529493,95.213143049777628,95.21314304987763,95.313113233634226,95.313113233734228,95.412921128231332,95.412921128331334,95.5126027978488,95.512602797948801,95.612140210346709,95.612140210446711,95.711524349655093,95.711524349755095,95.761130766644541,95.761130766744543,95.810683087214159,95.81068308731416,95.860172295293964,95.860172295393966,95.909544294464126,95.909544294564128,96.008135019614912,96.008135019714913,96.057299649175704,96.057299649275706,96.155529731527579,96.155529731627581,96.204396830779274,96.204396830879276,96.253011480071734,96.253011480171736,96.350168650096876,96.350168650196878,96.398657074409712,96.398657074509714,96.447082386232751,96.447082386332752,96.640648392475299,96.640648392575301,96.688920431108798,96.6889204312088,96.930172431436617,96.930172431536619,97.026473074814362,97.026473074914364,97.074555775978425,97.074555776078427,97.170667081886748,97.17066708198675,97.21854241344144,97.218542413541442,97.266354632506335,97.266354632606337,97.314112755151399,97.314112755251401,97.409547855811766,97.409547855911768,97.457188769547173,97.457188769647175,97.552353388108358,97.55235338820836,97.647364733480018,97.647364733580019,97.694798277606054,97.694798277706056,97.789548156948499,97.7895481570485,97.83682842788501,97.836828427985012,97.931307825128272,97.931307825228274,97.978488919295089,97.97848891939509,98.025606900972079,98.025606901072081,98.119752703626361,98.119752703726363,98.166717412113826,98.166717412213828,98.213619008111493,98.213619008211495,98.307304991197157,98.307304991297158,98.40089179751314,98.400891797613141,98.494262218149757,98.494262218249759,98.540577769599196,98.540577769699198,98.586830208558823,98.586830208658824,98.632929374328924,98.632929374428926,98.724911320189761,98.724911320289763,98.862496547972214,98.862496548072215,98.999928502565112,98.999928502665114,99.183008819429489,99.183008819529491,99.228693245980836,99.228693246080837,99.274278495762488,99.27427849586249,99.365376866766013,99.365376866866015,99.547330174883811,99.547330174983813,99.638149047718187,99.638149047818189,99.728787599153108,99.72878759925311,99.909749139573904,99.909749139673906,99.954901617996867,99.954901618096869,100.0],[0.0,1e-10,8.0786612721170759,8.0786612722170759,13.765186219326262,13.765186219426262,18.986791845101649,18.986791845201648,23.74724998618554,23.747249986285539,28.001153858499588,28.001153858599586,31.856916096896526,31.856916096996525,35.604137985878346,35.604137985978348,38.234679084381945,38.234679084481947,40.616623787211871,40.616623787311873,42.64212991789401,42.642129917994012,44.606473544652118,44.60647354475212,46.15585127247553,46.155851272575532,47.567735759592153,47.567735759692155,48.933787747422485,48.933787747522487,50.227578835857926,50.227578835957928,51.381220220689059,51.381220220789061,52.402796233714582,52.402796233814584,53.40115799645141,53.401157996551412,54.225955668913109,54.225955669013111,55.029633609909155,55.029633610009157,55.832762378286958,55.83276237838696,56.619394682357282,56.619394682457283,57.387848947048774,57.387848947148775,58.144689700867801,58.144689700967803,58.881202553507933,58.881202553607935,59.534854198075578,59.53485419817558,60.184661634315574,60.184661634415576,60.74898545680221,60.748985456902211,61.309792871671299,61.3097928717713,61.844784916331207,61.844784916431209,62.321121919641826,62.321121919741827,62.780460114699594,62.780460114799595,63.235460271788511,63.235460271888513,63.671494816363911,63.671494816463913,64.54301047574441,64.543010475844412,64.94933435595803,64.949334356058031,65.342844208412799,65.342844208512801,65.728537929649875,65.728537929749876,66.11256284727186,66.112562847371862,66.466340699370051,66.466340699470052,66.813630651699313,66.813630651799315,67.160005316331521,67.160005316431523,67.499802681001128,67.49980268110113,67.823405839160884,67.823405839260886,68.139844210371081,68.139844210471082,68.441953007682201,68.441953007782203,68.716288144827629,68.716288144927631,68.980201773682808,68.980201773782809,69.240220108385387,69.240220108485389,69.492426569022356,69.492426569122358,69.741444422751883,69.741444422851885,69.98667766828288,69.986677668382882,70.230663568254627,70.230663568354629,70.465828649117952,70.465828649217954,70.700410500146404,70.700410500246406,70.934937008197821,70.934937008297823,71.167590369334334,71.167590369434336,71.394786061505116,71.394786061605117,71.619504091165723,71.619504091265725,71.839960711594884,71.839960711694886,72.051268712205541,72.051268712305543,72.258570732709515,72.258570732809517,72.46289700391003,72.462897004010031,72.66451146923599,72.664511469335991,72.863346014254134,72.863346014354136,73.058966409452381,73.058966409552383,73.252287942527772,73.252287942627774,73.443212698982478,73.44321269908248,73.63198759363712,73.631987593737122,73.812312041414259,73.812312041514261,73.992108602333545,73.992108602433547,74.168316384049945,74.168316384149946,74.340628871613745,74.340628871713747,74.510025210003178,74.51002521010318,74.67246961904705,74.672469619147051,74.830878247919685,74.830878248019687,74.989184705142407,74.989184705242408,75.145967101920732,75.145967102020734,75.29810494578048,75.298104945880482,75.601903832467102,75.601903832567103,75.74704717546048,75.747047175560482,75.891645602987708,75.89164560308771,76.035435171619852,76.035435171719854,76.177394164857873,76.177394164957875,76.319250986445994,76.319250986545995,76.460780007324004,76.460780007424006,76.602257942377065,76.602257942477067,76.742841875493454,76.742841875593456,76.882404092110804,76.882404092210805,77.021438421870315,77.021438421970316,77.157922717534305,77.157922717634307,77.291303549332426,77.291303549432428,77.419809941999702,77.419809942099704,77.547967248196485,77.547967248296487,77.675847839508094,77.675847839608096,77.800024708510662,77.800024708610664,77.924010005669672,77.924010005769674,78.04727584412727,78.047275844227272,78.169754109450182,78.169754109550183,78.291564001896646,78.291564001996647,78.413071636545467,78.413071636645469,78.533970498446948,78.53397049854695,78.654371273555142,78.654371273655144,78.774150504459755,78.774150504559756,78.892950590386107,78.892950590486109,79.011078046283927,79.011078046383929,79.127549470022885,79.127549470122887,79.241649660053639,79.241649660153641,79.353829874496597,79.353829874596599,79.46411991341634,79.464119913516342,79.573877808326159,79.573877808426161,79.682699129778513,79.682699129878515,79.790796735377384,79.790796735477386,79.898838997999221,79.898838998099222,80.006327830850751,80.006327830950752,80.111513544427339,80.111513544527341,80.216056428039948,80.21605642813995,80.320403482656914,80.320403482756916,80.424712222905157,80.424712223005159,80.528544162120525,80.528544162220527,80.631388442053478,80.631388442153479,80.734156093248998,80.734156093349,80.836544857909459,80.836544858009461,80.938737793574276,80.938737793674278,81.040373042316688,81.040373042416689,81.136903965715959,81.136903965815961,81.232396144007879,81.232396144107881,81.327713779064538,81.32771377916454,81.422648270434053,81.422648270534054,81.516595102521165,81.516595102621167,81.61023116250648,81.610231162606482,81.702807191624032,81.702807191724034,81.795097991552282,81.795097991652284,81.886516075304257,81.886516075404259,81.976329212722305,81.976329212822307,82.065537834545097,82.065537834645099,82.154163226533029,82.154163226633031,82.241992531082104,82.241992531182106,82.329502549225239,82.329502549325241,82.415795021873677,82.415795021973679,82.5015936648809,82.501593664980902,82.585642618383517,82.585642618483519,82.669397828392661,82.669397828492663,82.753080666816459,82.75308066691646,82.836712419415306,82.836712419515308,82.919846085220868,82.91984608532087,83.002388006887386,83.002388006987388,83.084423327456477,83.084423327556479,83.165534846024343,83.165534846124345,83.245965220259521,83.245965220359523,83.325727221618223,83.325727221718225,83.404820850100478,83.40482085020048,83.483620735089261,83.483620735189263,83.561309503385331,83.561309503485333,83.638585327929704,83.638585328029706,83.715707894999213,83.715707895099214,83.792796404852098,83.792796404952099,83.869727400078048,83.86972740017805,83.946364651810512,83.946364651910514,84.022908246197233,84.022908246297234,84.098660010297195,84.098660010397197,84.173807258801901,84.173807258901903,84.248805506983814,84.248805507083816,84.323378039957802,84.323378040057804,84.397597229309198,84.3975972294092,84.47160781820871,84.471607818308712,84.545418320960493,84.545418321060495,84.618730736918991,84.618730737018993,84.691668523494499,84.691668523594501,84.76447008120347,84.764470081303472,84.836526637298562,84.836526637398563,84.908472507439583,84.908472507539585,84.979000745938194,84.979000746038196,85.048988326122711,85.048988326222712,85.118886506113569,85.11888650621357,85.258614751662009,85.258614751762011,85.328351159873861,85.328351159973863,85.397942824915006,85.397942825015008,85.467283317983458,85.46728331808346,85.536393924839643,85.536393924939645,85.605466217327105,85.605466217427107,85.6739127084589,85.673912708558902,85.74231237091783,85.742312371017832,85.810188403670992,85.810188403770994,85.877745150018214,85.877745150118216,85.945182696107196,85.945182696207198,86.011981669384284,86.011981669484285,86.078750842596818,86.07875084269682,86.143987441060787,86.143987441160789,86.20862378108157,86.208623781181572,86.273089835019178,86.27308983511918,86.337517574588077,86.337517574688079,86.401821856746665,86.401821856846666,86.465840909715936,86.465840909815938,86.529838676924811,86.529838677024813,86.593785358308736,86.593785358408738,86.657583039369882,86.657583039469884,86.721155091370832,86.721155091470834,86.784556857288592,86.784556857388594,86.84744776495684,86.847447765056842,86.910206700910635,86.910206701010637,86.972769807868772,86.972769807968774,87.03527331469779,87.035273314797791,87.097508620945817,87.097508621045819,87.221791918750384,87.221791918850386,87.345159928857882,87.345159928957884,87.406330947086076,87.406330947186078,87.46685062104612,87.466850621146122,87.526931808341985,87.526931808441987,87.586936366900431,87.586936367000433,87.646723810702838,87.64672381080284,87.706136625122255,87.706136625222257,87.765311039025221,87.765311039125223,87.824391795582457,87.824391795682459,87.883336323273141,87.883336323373143,87.941459220612515,87.941459220712517,87.99943311762911,87.999433117729112,88.057164356977182,88.057164357077184,88.114537995550592,88.114537995650593,88.171643433543011,88.171643433643013,88.228493442410652,88.228493442510654,88.285322165517897,88.285322165617899,88.341967831085739,88.341967831185741,88.398532610764079,88.398532610864081,88.454548217824168,88.45454821792417,88.510193452653354,88.510193452753356,88.565506629620359,88.56550662972036,88.620798520826966,88.620798520926968,88.675907354494157,88.675907354594159,88.730760759036599,88.730760759136601,88.784886190573459,88.784886190673461,88.838934993372888,88.83893499347289,88.892881624522417,88.892881624622419,88.946649455284614,88.946649455384616,89.054006316421678,89.054006316521679,89.107497432298729,89.107497432398731,89.160341461059701,89.160341461159703,89.213134403995724,89.213134404095726,89.265808146673535,89.265808146773537,89.317936973885182,89.317936973985184,89.36997640090317,89.369976401003171,89.421994542160746,89.421994542260748,89.473987140505855,89.473987140605857,89.525698766813733,89.525698766913735,89.577355050144575,89.577355050244577,89.628428103640545,89.628428103740546,89.679356413965806,89.679356414065808,89.730254924226529,89.73025492432653,89.780570204652363,89.780570204752365,89.830757770515831,89.830757770615833,89.880779307448208,89.88077930754821,89.930668872666118,89.93066887276612,89.980200837109351,89.980200837209352,90.029711515792201,90.029711515892203,90.07900507971901,90.079005079819012,90.127894214198264,90.127894214298266,90.17675780576505,90.176757805865051,90.274442417377827,90.274442417477829,90.322761093478462,90.322761093578464,90.370909483495922,90.370909483595923,90.419028073448814,90.419028073548816,90.466789062627043,90.466789062727045,90.514341451353388,90.51434145145339,90.561821468494387,90.561821468594388,90.609186542529244,90.609186542629246,90.656457959218358,90.656457959318359,90.703695318690833,90.703695318790835,90.750856049425877,90.750856049525879,90.79794866572766,90.797948665827661,90.844883767402493,90.844883767502495,90.891733726035753,90.891733726135755,90.938277169719285,90.938277169819287,90.984629041559259,90.984629041659261,91.030751027186938,91.030751027286939,91.076660155210661,91.076660155310663,91.122326625565847,91.122326625665849,91.213459480128506,91.213459480228508,91.258432034694764,91.258432034794765,91.30328964615488,91.303289646254882,91.348100428942132,91.348100429042134,91.392774982862832,91.392774982962834,91.437411222414823,91.437411222514825,91.482004890446021,91.482004890546023,91.526577272716821,91.526577272816823,91.570838882885838,91.570838882985839,91.614925949819593,91.614925949919595,91.658885302190967,91.658885302290969,91.702576453981337,91.702576454081338,91.746148405513495,91.746148405613496,91.789235041708594,91.789235041808595,91.832279106382913,91.832279106482915,91.874880427240967,91.874880427340969,91.917170975997237,91.917170976097239,91.959023038089342,91.959023038189343,92.000819757204397,92.000819757304399,92.042595190559069,92.042595190659071,92.084336566697104,92.084336566797106,92.167742690235741,92.167742690335743,92.209266951617721,92.209266951717723,92.250706069958127,92.250706070058129,92.292068559561088,92.292068559661089,92.374716910029605,92.374716910129607,92.415985742286821,92.415985742386823,92.457233288783655,92.457233288883657,92.539673038800274,92.539673038900276,92.580746042061861,92.580746042161863,92.621482730309154,92.621482730409156,92.66216407557944,92.662164075679442,92.743339451428497,92.743339451528499,92.783616367251227,92.783616367351229,92.823565482363847,92.823565482463849,92.863416682978652,92.863416683078654,92.903106111814438,92.90310611191444,92.942655054631601,92.942655054731603,92.982046482821843,92.982046482921845,93.021233567712258,93.02123356781226,93.060386595386049,93.060386595486051,93.099352308368339,93.09935230846834,93.138275449829848,93.13827544992985,93.177121962553926,93.177121962653928,93.215785417738587,93.215785417838589,93.254312644056711,93.254312644156713,93.292741955877005,93.292741955977007,93.330932867180863,93.330932867280865,93.407255089659458,93.40725508975946,93.445326800705089,93.445326800805091,93.521342508233971,93.521342508333973,93.559180075915236,93.559180076015238,93.634714725259158,93.63471472535916,93.672343692488539,93.672343692588541,93.709947116805438,93.70994711690544,93.747520741057784,93.747520741157786,93.784741021687552,93.784741021787553,93.821893187884044,93.821893187984045,93.858998525407657,93.858998525507658,93.933132571717479,93.933132571817481,93.970122966134952,93.970122966234953,94.044048411992875,94.044048412092877,94.080702491396082,94.080702491496083,94.117233113388991,94.117233113488993,94.153725421013178,94.15372542111318,94.190094271227082,94.190094271327084,94.226429064224334,94.226429064324336,94.335263157132928,94.33526315723293,94.371057291816115,94.371057291916117,94.442594475357524,94.442594475457526,94.477703208555923,94.477703208655925,94.512726798712734,94.512726798812736,94.547656731523816,94.547656731623817,94.582463206924587,94.582463207024588,94.61724839656496,94.617248396664962,94.651999528988696,94.651999529088698,94.721288936232199,94.721288936332201,94.790310142894711,94.790310142994713,94.824635560110522,94.824635560210524,94.892626535969825,94.892626536069827,94.926006865424014,94.926006865524016,94.99272920996367,94.992729210063672,95.026062710744995,95.026062710844997,95.092661597874354,95.092661597974356,95.125918469918233,95.125918470018235,95.192300242291552,95.192300242391553,95.25845638560466,95.258456385704662,95.291415257002996,95.291415257102997,95.324276213903502,95.324276214003504,95.356979656177074,95.356979656277076,95.389559641040336,95.389559641140337,95.422062997166179,95.422062997266181,95.454489724554591,95.454489724654593,95.48689516618262,95.486895166282622,95.519185664704494,95.519185664804496,95.551348448663987,95.551348448763989,95.583451632494359,95.583451632594361,95.615448387522761,95.615448387622763,95.647338713749178,95.64733871384918,95.711064023224978,95.71106402332498,95.742741491847426,95.742741491947427,95.774372131796994,95.774372131896996,95.837467382765055,95.837467382865057,95.931665386824847,95.931665386924848,95.962836254349853,95.962836254449854,95.993985836114462,95.993985836214463,96.05622539951456,96.056225399614561,96.087298352541751,96.087298352641753,96.118218048094064,96.118218048194066,96.149099429277683,96.149099429377685,96.179699838424057,96.179699838524058,96.21018956161636,96.210189561716362,96.240615427527473,96.240615427627475,96.270977436157409,96.270977436257411,96.301228758833275,96.301228758933277,96.33145453859666,96.331454538696661,96.391748583496508,96.39174858359651,96.481868235864269,96.481868235964271,96.541719536947866,96.541719537047868,96.57145148707005,96.571451487170052,96.601132351367283,96.601132351467285,96.630719558318773,96.630719558418775,96.660225879380747,96.660225879480748,96.689638543096976,96.689638543196978,96.719000120988255,96.719000121088257,96.777374190300321,96.777374190400323,96.806246195702471,96.806246195802473,96.83501177230265,96.835011772402652,96.863756063142418,96.86375606324242,96.89244075385308,96.892440753953082,96.921036044370084,96.921036044470085,96.949593020518364,96.949593020618366,97.006553715340075,97.006553715440077,97.034893576732316,97.034893576832317,97.063195123755833,97.063195123855834,97.119670503240499,97.119670503340501,97.17597559664199,97.175975596741992,97.20403874314907,97.204038743249072,97.231978432245853,97.231978432345855,97.259867035517672,97.259867035617674,97.31558889908429,97.315588899184291,97.34338810216245,97.343388102262452,97.370868018834656,97.370868018934658,97.398232992400722,97.398232992500724,97.425538365837681,97.425538365937683,97.480042683909602,97.480042684009604,97.507216085632109,97.507216085732111,97.561460717427195,97.561460717527197,97.58848937597898,97.588489376078982,97.615492491618312,97.615492491718314,97.642397692759801,97.642397692859802,97.696135723457445,97.696135723557447,97.749758811048949,97.749758811148951,97.776485211803106,97.776485211903108,97.803003012105378,97.80300301220538,97.829452697974389,97.829452698074391,97.908682555323182,97.908682555423184,97.935008783781882,97.935008783881884,97.961249869199008,97.96124986929901,97.987405811574533,97.987405811674535,98.013510668125107,98.013510668225109,98.03949632441747,98.039496324517472,98.091412294025147,98.091412294125149,98.117155292648974,98.117155292748976,98.142847205447865,98.142847205547866,98.168471003813465,98.168471003913467,98.219437628507464,98.219437628607466,98.24473788331504,98.244737883415041,98.269880623495681,98.269880623595682,98.294963763547216,98.294963763647218,98.319961760557163,98.319961760657165,98.344891643133835,98.344891643233836,98.369766182733485,98.369766182833487,98.394364007447976,98.394364007547978,98.418910746337502,98.418910746437504,98.44337659933754,98.443376599437542,98.467744537839735,98.467744537939737,98.516356957433842,98.516356957533844,98.5405886670695,98.540588667169501,98.564777805184377,98.564777805284379,98.588932886082617,98.588932886182619,98.613032624003822,98.613032624103823,98.637102561860459,98.637102561960461,98.661091613827608,98.66109161392761,98.708997346176531,98.708997346276533,98.732807597756349,98.73280759785635,98.804195780974979,98.804195781074981,98.82792940381735,98.827929403917352,98.851633226595183,98.851633226695185,98.922472237195578,98.92247223729558,98.969309424372582,98.969309424472584,99.016044439899702,99.016044439999703,99.039331061773751,99.039331061873753,99.085793619567781,99.085793619667783,99.108931241119052,99.108931241219054,99.132000748237047,99.132000748337049,99.155023426682178,99.155023426782179,99.223997804671811,99.223997804771813,99.246879997098318,99.24687999719832,99.269677046483253,99.269677046583254,99.315241345188539,99.315241345288541,99.337944737227716,99.337944737327717,99.405969770303656,99.405969770403658,99.451172211082195,99.451172211182197,99.473679774125728,99.473679774225729,99.496157537104693,99.496157537204695,99.541079005846001,99.541079005946003,99.563373711285564,99.563373711385566,99.607929064948053,99.607929065048054,99.630147141650184,99.630147141750186,99.652288589614884,99.652288589714885,99.674327865929683,99.674327866029685,99.718334046973922,99.718334047073924,99.740232837270099,99.740232837370101,99.762080541741327,99.762080541841328,99.805737636315072,99.805737636415074,99.871055120668544,99.871055120768546,99.892715510448284,99.892715510548285,99.914320557250988,99.91432055735099,99.935823432403794,99.935823432503796,99.95722839305877,99.957228393158772,100.0],[0.0,1e-10,0.96690320010310038,0.96690320020310039,1.9052182804344087,1.9052182805344087,2.823129162695186,2.823129162795186,3.6503659868102134,3.6503659869102134,4.3848091759359988,4.3848091760359988,5.0811490461577113,5.0811490462577114,5.7333408783290931,5.7333408784290931,6.3504713768810426,6.3504713769810426,6.8982740495104364,6.8982740496104364,7.4427501640382383,7.4427501641382383,7.9651408112091593,7.9651408113091593,8.4721808810243573,8.4721808811243573,8.9690090389485331,8.9690090390485331,9.4590401587850899,9.4590401588850899,9.9330305304110205,9.9330305305110205,10.385762985515571,10.385762985615571,10.834570298317358,10.834570298417358,11.259326301658961,11.259326301758961,11.665251434803059,11.665251434903059,12.069204183940018,12.069204184040018,12.467625753382,12.467625753482,12.859917558927835,12.859917559027835,13.249033270160348,13.249033270260348,13.637933098566211,13.637933098666212,14.022541438054386,14.022541438154386,14.406240452909087,14.406240453009087,14.783328873935551,14.783328874035551,15.114437523837061,15.114437523937061,15.444375172951583,15.444375173051583,15.755959510848767,15.755959510948767,16.065937811353734,16.065937811453733,16.364392548248176,16.364392548348174,16.653459653135176,16.653459653235174,16.918220314312311,16.918220314412309,17.177397460563768,17.177397460663766,17.433434492973014,17.433434493073012,17.681706285526626,17.681706285626625,17.929336971504121,17.929336971604119,18.176025623328954,18.176025623428952,18.422112420000694,18.422112420100692,18.668052023836079,18.668052023936077,18.913478088220192,18.91347808832019,19.158220523653235,19.158220523753233,19.401929338279885,19.401929338379883,19.639835484202283,19.639835484302282,19.875641678992704,19.875641679092702,20.109406799785688,20.109406799885686,20.339040708305014,20.339040708405012,20.568491443516876,20.568491443616875,20.794828232501878,20.794828232601876,21.020828113439229,21.020828113539228,21.246523795848116,21.246523795948114,21.469017216328329,21.469017216428327,21.690957845934239,21.690957846034237,21.911505050022669,21.911505050122667,22.130518177661099,22.130518177761097,22.348236008339619,22.348236008439617,22.56461274873136,22.564612748831358,22.779452141721187,22.779452141821185,22.989296791130748,22.989296791230746,23.196998967033384,23.196998967133382,23.403396033120352,23.40339603322035,23.608213229430454,23.608213229530453,23.811754754492163,23.811754754592162,24.013703325969331,24.013703326069329,24.207546478591293,24.207546478691292,24.400107418061019,24.400107418161017,24.591546421022539,24.591546421122537,24.78113733614984,24.781137336249838,24.969275948625121,24.969275948725119,25.157192136369911,25.157192136469909,25.34336490674189,25.343364906841888,25.528749377701399,25.528749377801397,25.710251228733089,25.710251228833087,25.891131598900174,25.891131599000172,26.071841879567476,26.071841879667474,26.248201794182545,26.248201794282544,26.424535541182266,26.424535541282264,26.600846391518552,26.60084639161855,26.773497046657511,26.773497046757509,26.945235106211079,26.945235106311078,27.116835785784051,27.116835785884049,27.288387401078236,27.288387401178234,27.455699862685439,27.455699862785437,27.622217482976332,27.62221748307633,27.788277169998569,27.788277170098567,27.95313968861846,27.953139688718458,28.11723026258548,28.117230262685478,28.278753139296104,28.278753139396102,28.60108909615094,28.601089096250938,28.761176024969139,28.761176025069137,28.920778852903329,28.920778853003327,29.079328434319613,29.079328434419612,29.236762621131525,29.236762621231524,29.39296693002191,29.392966930121908,29.548808163249284,29.548808163349282,29.701820023066752,29.70182002316675,29.854367407711727,29.854367407811726,30.005822294415765,30.005822294515763,30.156508507418845,30.156508507518843,30.306730245249433,30.306730245349431,30.456536572186312,30.456536572286311,30.60354950618439,30.603549506284388,30.750133945481082,30.75013394558108,30.896636610979801,30.896636611079799,31.043109837911249,31.043109838011247,31.189056441583741,31.189056441683739,31.33464651149707,31.334646511597068,31.479611829593871,31.479611829693869,31.623958937777989,31.623958937877987,31.768083621231618,31.768083621331616,31.910265359245379,31.910265359345377,32.05095881413601,32.050958814236012,32.191223774325252,32.191223774425254,32.331083136476543,32.331083136576545,32.468276672813879,32.468276672913881,32.604956669699931,32.604956669799932,32.738280669917124,32.738280670017126,32.871159820673334,32.871159820773336,33.003980094295002,33.003980094395004,33.136649904128397,33.136649904228399,33.26908093447171,33.269080934571711,33.399418555586884,33.399418555686886,33.529694028615594,33.529694028715596,33.658435425194313,33.658435425294314,33.78623805857228,33.786238058672282,33.913821538171682,33.913821538271684,34.041159696377157,34.041159696477159,34.167879644669952,34.167879644769954,34.2945570705878,34.294557070687802,34.421113471284642,34.421113471384643,34.547228293472422,34.547228293572424,34.798411233233921,34.798411233333923,34.922834973279592,34.922834973379594,35.046486768672395,35.046486768772397,35.16983436553673,35.169834365636731,35.293070750035817,35.293070750135819,35.415875368881601,35.415875368981602,35.53846410490074,35.538464105000742,35.660284167218911,35.660284167318913,35.781440226297541,35.781440226397542,35.901395846021899,35.9013958461219,36.021308943371317,36.021308943471318,36.141081389788219,36.141081389888221,36.260817855734011,36.260817855834013,36.380488902641424,36.380488902741426,36.500019298616323,36.500019298716325,36.619310915101131,36.619310915201133,36.73819039164416,36.738190391744162,36.856929217254667,36.856929217354669,36.974670402529888,36.97467040262989,37.091011620383789,37.091011620483791,37.207179477785985,37.207179477885987,37.323301541861312,37.323301541961314,37.439214265013831,37.439214265113833,37.552559290909961,37.552559291009963,37.664775838394043,37.664775838494045,37.776158293138785,37.776158293238787,37.887429535518287,37.887429535618288,37.99855358506143,37.998553585161432,38.107662728222493,38.107662728322495,38.216415337624383,38.216415337724385,38.324500672834809,38.324500672934811,38.431709392930948,38.43170939303095,38.538548495460248,38.538548495560249,38.645354888470351,38.645354888570353,38.748543608658082,38.748543608758084,38.851532800778749,38.851532800878751,38.954283213409333,38.954283213509335,39.056516815636719,39.056516815736721,39.158560702652807,39.158560702752808,39.260395248746079,39.260395248846081,39.361919054407053,39.361919054507055,39.463318563895101,39.463318563995102,39.563982109201383,39.563982109301385,39.663965296508522,39.663965296608524,39.763228874393484,39.763228874493485,39.862387781817041,39.862387781917043,39.961294825942836,39.961294826042838,40.059946735818954,40.059946735918956,40.158343511445388,40.15834351154539,40.256419733783765,40.256419733883767,40.353622611959779,40.35362261205978,40.450390453530567,40.450390453630568,40.54640924711191,40.546409247211912,40.641345355608081,40.641345355708083,40.73598380747962,40.735983807579622,40.830550298408944,40.830550298508946,40.925067725059485,40.925067725159487,41.018849187528254,41.018849187628255,41.112509624776024,41.112509624876026,41.205941095389463,41.205941095489464,41.298136146177534,41.298136146277535,41.390161107465815,41.390161107565817,41.48203560496583,41.482035605065832,41.573798890100598,41.573798890200599,41.665267789562655,41.665267789662657,41.756075956737078,41.75607595683708,41.846540673960014,41.846540674060016,41.93672408931792,41.936724089417922,42.026289294763139,42.02628929486314,42.115648430237464,42.115648430337465,42.20487345668311,42.204873456783112,42.293506440831422,42.293506440931424,42.382100173556708,42.38210017365671,42.470546713445643,42.470546713545644,42.557197500731057,42.557197500831059,42.643406709507417,42.643406709607419,42.728850515534731,42.728850515634733,42.814016290648937,42.814016290748938,42.898868054378923,42.898868054478925,42.983660940974367,42.983660941074369,43.068185609512454,43.068185609612456,43.152654671867914,43.152654671967916,43.236420479560806,43.236420479660808,43.320019468705823,43.320019468805825,43.403183421245615,43.403183421345616,43.485886169564836,43.485886169664838,43.568549666461031,43.568549666561033,43.650961300059464,43.650961300159466,43.814983184036187,43.814983184136189,43.896554182991444,43.896554183091446,43.977765377235613,43.977765377335615,44.058796669124241,44.058796669224243,44.13937656964805,44.139376569748052,44.30023871407105,44.300238714171051,44.541091987672438,44.54109198777244,44.620818169745398,44.6208181698454,44.699909787146076,44.699909787246078,44.778782250768181,44.778782250868183,44.857307993486877,44.857307993586879,44.935215526292893,44.935215526392895,45.012995491974067,45.012995492074069,45.090752560991803,45.090752561091804,45.168440940019245,45.168440940119247,45.245900352412363,45.245900352512365,45.323134069123064,45.323134069223066,45.400083213016821,45.400083213116822,45.476996376439466,45.476996376539468,45.553713282746969,45.553713282846971,45.630096551958744,45.630096552058745,45.706365337853356,45.706365337953358,45.782267777133036,45.782267777233038,45.933941817615647,45.933941817715649,46.009654541684029,46.00965454178403,46.085141570070007,46.085141570170009,46.160556637513764,46.160556637613766,46.311229766709168,46.31122976680917,46.386406054662842,46.386406054762844,46.461189828386239,46.461189828486241,46.535551649312083,46.535551649412085,46.609046667979406,46.609046668079408,46.682489351416031,46.682489351516033,46.755833906295081,46.755833906395083,46.8288284693188,46.828828469418802,46.974797969654723,46.974797969754725,47.120662799529242,47.120662799629244,47.193245222611175,47.193245222711177,47.265686994760593,47.265686994860594,47.337971761217894,47.337971761317895,47.482361391776955,47.482361391876957,47.554198037821365,47.554198037921367,47.625962722923553,47.625962723023555,47.697661988987356,47.697661989087358,47.841024540643865,47.841024540743867,47.912498111025265,47.912498111125267,47.98360533479174,47.983605334891742,48.054061639126338,48.05406163922634,48.124318415393887,48.124318415493889,48.194516314526886,48.194516314626888,48.264544124160103,48.264544124260105,48.334280819072525,48.334280819172527,48.403775463542949,48.403775463642951,48.472988806148344,48.472988806248345,48.541829260234969,48.541829260334971,48.610633733850491,48.610633733950493,48.679340078908446,48.679340079008448,48.74780764447631,48.747807644576312,48.816235958621149,48.816235958721151,48.884513808977715,48.884513809077717,48.952726240295902,48.952726240395904,49.020807833537333,49.020807833637335,49.088748775846241,49.088748775946243,49.1564901900881,49.156490190188102,49.224179269099253,49.224179269199254,49.291322099139933,49.291322099239935,49.358412593949915,49.358412594049916,49.425346083067787,49.425346083167788,49.492093127926275,49.492093128026276,49.558784566602142,49.558784566702144,49.625368063864684,49.625368063964686,49.691935206367624,49.691935206467626,49.824912485681409,49.824912485781411,49.891306267732645,49.891306267832647,49.957654256457026,49.957654256557028,50.023822342825852,50.023822342925854,50.089898842540954,50.089898842640956,50.155870671794645,50.155870671894647,50.221485967289169,50.221485967389171,50.287029301841478,50.28702930194148,50.352396004990162,50.352396005090164,50.417134685370407,50.417134685470408,50.481631315308647,50.481631315408649,50.610536259483304,50.610536259583306,50.674502995210673,50.674502995310675,50.738168803361489,50.738168803461491,50.801111731138221,50.801111731238223,50.863662144684668,50.863662144784669,50.925963965885281,50.925963965985282,50.988210180903266,50.988210181003268,51.050423686402063,51.050423686502064,51.112525979535619,51.11252597963562,51.174389493179085,51.174389493279087,51.235981517813279,51.235981517913281,51.297537561976362,51.297537562076364,51.35904127090874,51.359041271008742,51.42049264461042,51.420492644710421,51.543186051090963,51.543186051190965,51.604094446774091,51.604094446874093,51.664499115861695,51.664499115961696,51.724553793093975,51.724553793193977,51.844538851385607,51.844538851485609,51.904282788185583,51.904282788285585,52.02358421752615,52.023584217626151,52.082942181999691,52.082942182099693,52.14197959318517,52.141979593285171,52.259639004662418,52.25963900476242,52.31808110259864,52.318081102698642,52.376503574823353,52.376503574923355,52.434890066576955,52.434890066676957,52.493191513580662,52.493191513680664,52.551453709161351,52.551453709261352,52.609450957636597,52.609450957736598,52.6671832590064,52.667183259106402,52.724879579905107,52.724879580005108,52.782464688438559,52.78246468853856,52.839830643193444,52.839830643293446,52.897124637006108,52.89712463710611,52.954183122280611,52.954183122380613,53.068044958579932,53.068044958679934,53.124773077710621,53.124773077810623,53.181278772110815,53.181278772210817,53.293806060027201,53.293806060127203,53.349811298783791,53.349811298883793,53.461654957749111,53.461654957849113,53.517153198958269,53.517153199058271,53.572429015436931,53.572429015536933,53.627570722886915,53.627570722986917,53.682647011298521,53.682647011398522,53.737670964479427,53.737670964579429,53.792498660545192,53.792498660645194,53.847274021380251,53.847274021480253,53.902033027455715,53.902033027555717,53.956154197906983,53.956154198006985,54.010183781704519,54.010183781804521,54.064128320752161,54.064128320852163,54.117922396011529,54.117922396111531,54.171693574607467,54.171693574707469,54.225405876068862,54.225405876168864,54.279082197059154,54.279082197159155,54.332356190963409,54.332356191063411,54.385604017252312,54.385604017352314,54.438819134022019,54.438819134122021,54.491455292302078,54.49145529240208,54.54399005107264,54.543990051172642,54.596485558420184,54.596485558520186,54.648804434364095,54.648804434464097,54.701103684596497,54.701103684696498,54.753324431982847,54.753324432082849,54.805159207042749,54.805159207142751,54.856859873073979,54.856859873173981,54.908508203874511,54.908508203974513,54.960140179915442,54.960140180015443,55.011693653110314,55.011693653210315,55.114725367605928,55.11472536770593,55.166144731772128,55.16614473187213,55.217547741178734,55.217547741278736,55.26886897678736,55.268868976887362,55.319872930059852,55.319872930159853,55.370723148592148,55.37072314869215,55.421530844749498,55.421530844849499,55.472318915195338,55.47231891529534,55.523054650410472,55.523054650510474,55.573636650885412,55.573636650985414,55.62419575469692,55.624195754796922,55.725075182829855,55.725075182929857,55.775120747190087,55.775120747290089,55.824868654925694,55.824868655025696,55.874479182680702,55.874479182780703,55.923896724272488,55.92389672437249,55.973297911104687,55.973297911204689,56.022627136994664,56.022627137094666,56.071887672894341,56.071887672994343,56.121125312130587,56.121125312230589,56.17008819140564,56.170088191505641,56.219015090209581,56.219015090309583,56.267879840927066,56.267879841027067,56.316443664068004,56.316443664168006,56.364922442459047,56.364922442559049,56.413316176100203,56.413316176200205,56.461647761654895,56.461647761754897,56.509949908642312,56.509949908742314,56.558124488504895,56.558124488604896,56.606197668857988,56.606197668957989,56.702245901006606,56.702245901106608,56.750037779494662,56.750037779594663,56.797751155136673,56.797751155236675,56.845418737451809,56.84541873755181,56.893037255488167,56.893037255588169,56.940583812582304,56.940583812682306,56.988048595878467,56.988048595978469,57.035389083001711,57.035389083101713,57.082660880134661,57.082660880234663,57.129837819661951,57.129837819761953,57.22413936348584,57.224139363585842,57.271162568272942,57.271162568372944,57.318103999262071,57.318103999362073,57.365015991683933,57.365015991783935,57.411892003634684,57.411892003734685,57.458728764162402,57.458728764262403,57.50554589897861,57.505545899078612,57.552320511419872,57.552320511519873,57.598993724351651,57.598993724451653,57.64557207967777,57.645572079777772,57.692134080244301,57.692134080344303,57.738568513685991,57.738568513785992,57.784973508560405,57.784973508660407,57.831306542492612,57.831306542592614,57.877587241194107,57.877587241294108,57.923835230376412,57.923835230476413,57.969873878635909,57.96987387873591,58.015896172135804,58.015896172235806,58.061882485164595,58.061882485264597,58.107849172481878,58.107849172581879,58.153753711712689,58.153753711812691,58.199540496674423,58.199540496774425,58.245258591645857,58.245258591745859,58.336456002098643,58.336456002198645,58.381912420916557,58.381912421016558,58.42732631735953,58.427326317459531,58.472553769543119,58.47255376964312,58.517748512207518,58.51774851230752,58.562671765862646,58.562671765962648,58.607447826681415,58.607447826781417,58.652142113702212,58.652142113802213,58.741504520128458,58.74150452022846,58.786156284774307,58.786156284874309,58.830788423708647,58.830788423808649,58.964576899098333,58.964576899198335,59.009006239013694,59.009006239113695,59.053321095611885,59.053321095711887,59.097550907460189,59.097550907560191,59.141764364548898,59.1417643646489,59.185804461185903,59.185804461285905,59.229795493544124,59.229795493644126,59.273642604017908,59.27364260411791,59.317424295453314,59.317424295553316,59.361173277369524,59.361173277469526,59.404896091670388,59.404896091770389,59.448596009307821,59.448596009407822,59.492168359820411,59.492168359920413,59.535577162737056,59.535577162837058,59.578927088519158,59.57892708861916,59.665538624381547,59.665538624481549,59.708770795894566,59.708770795994567,59.75191792265769,59.751917922757691,59.794947295151729,59.794947295251731,59.837960312886175,59.837960312986176,59.880917724438,59.880917724538001,59.923835884566799,59.923835884666801,60.009610056737934,60.009610056837936,60.052446443068753,60.052446443168755,60.138004732413236,60.138004732513238,60.180667758292351,60.180667758392353,60.223314429411879,60.223314429511881,60.308558707372136,60.308558707472137,60.351074540414899,60.351074540514901,60.393495515852017,60.393495515952019,60.435890323673775,60.435890323773776,60.520660313605788,60.52066031370579,60.562901386687358,60.56290138678736,60.605093395490144,60.605093395590146,60.647164379071924,60.647164379171926,60.689199382182601,60.689199382282602,60.773132008423353,60.773132008523355,60.814967483466972,60.814967483566974,60.898618807842695,60.898618807942697,60.940415031463289,60.94041503156329,60.982136023189739,60.98213602328974,61.023824305397007,61.023824305497008,61.107155076484666,61.107155076584668,61.148676540144066,61.148676540244068,61.190096604293977,61.190096604393979,61.231480687972777,61.231480688072779,61.272825520228551,61.272825520328553,61.314144184868972,61.314144184968974,61.35540070142293,61.355400701522932,61.396631050361542,61.396631050461544,61.437795980261768,61.43779598036177,61.520076775783444,61.520076775883446,61.60228888131482,61.602288881414822,61.64334586980172,61.643345869901722,61.684337439250243,61.684337439350244,61.725312653939177,61.725312654039179,61.807171496663301,61.807171496763303,61.847999518515877,61.847999518615879,61.888778476089669,61.888778476189671,61.970234991727764,61.970234991827766,62.010853672657525,62.010853672757527,62.051416747404666,62.051416747504668,62.091904590257663,62.091904590357665,62.132343368831883,62.132343368931885,62.172733083127319,62.172733083227321,62.212998501249828,62.21299850134983,62.253218126045475,62.253218126145477,62.333621395165665,62.333621395265666,62.373765788067175,62.373765788167177,62.413877471449496,62.413877471549497,62.49400270965657,62.494002709756572,62.533983554962134,62.533983555062136,62.573843375046692,62.573843375146694,62.613670485612062,62.613670485712063,62.653435448090974,62.653435448190976,62.693184055810292,62.693184055910294,62.73285088973163,62.732850889831631,62.772380343672374,62.772380343772376,62.811880359045851,62.811880359145853,62.85123318158297,62.851233181682971,62.890566378408579,62.890566378508581,63.008415505097126,63.008415505197128,63.047601509086377,63.047601509186379,63.086744990700687,63.086744990800689,63.164986160602432,63.164986160702433,63.204041326514925,63.204041326614927,63.243047428148635,63.243047428248637,63.282024091215071,63.282024091315073,63.359928353069165,63.359928353169167,63.437754112077208,63.43775411217721,63.476616291826481,63.476616291926483,63.515429407296971,63.515429407396972,63.554226168007865,63.554226168107867,63.592839755411298,63.592839755511299,63.631430446151299,63.631430446251301,63.669926279285647,63.669926279385649,63.708320712910513,63.708320713010515,63.785076870641049,63.785076870741051,63.823219440968153,63.823219441068154,63.861322759872223,63.861322759972225,63.899386827353268,63.89938682745327,63.937418185315124,63.937418185415126,64.013444920767725,64.013444920867727,64.0513912339797,64.051391234079702,64.089268857201361,64.089268857301363,64.127084332336565,64.127084332436567,64.240498048222989,64.240498048322991,64.278248104319815,64.278248104419816,64.315932741378262,64.315932741478264,64.35351597892722,64.353515979027222,64.391063236005067,64.391063236105069,64.5034956663158,64.503495666415802,64.540791060095884,64.540791060195886,64.578070099116388,64.57807009921639,64.615293531954251,64.615293532054253,64.689658623832031,64.689658623932033,64.763905961440713,64.763905961540715,64.800988743346068,64.800988743446069,64.838009377164965,64.838009377264967,64.874977675753158,64.87497767585316,64.911887097206801,64.911887097306803,64.985656875835318,64.985656875935319,65.059384132088894,65.059384132188896,65.09602533548518,65.096025335585182,65.132633829362291,65.132633829462293,65.169203071816369,65.169203071916371,65.205612037626409,65.205612037726411,65.241837830129001,65.241837830229002,65.277782320766548,65.27778232086655,65.385569999352356,65.385569999452358,65.421449070951525,65.421449071051526,65.457158053050918,65.45715805315092,65.492850680390703,65.492850680490704,65.528526952970907,65.528526953070909,65.599836975756361,65.599836975856363,65.635418390730905,65.635418390830907,65.74211684232769,65.742116842427691,65.777609941600431,65.777609941700433,65.813053976594375,65.813053976694377,65.848465302069144,65.848465302169146,65.883860272784304,65.883860272884306,65.954630588503122,65.954630588603123,66.025342027087405,66.025342027187406,66.060615972581573,66.060615972681575,66.166365848121856,66.166365848221858,66.201538394106535,66.201538394206537,66.236684772475854,66.236684772575856,66.306921923031879,66.306921923131881,66.341996340458991,66.341996340558993,66.376949732665096,66.376949732765098,66.481757574052722,66.481757574152724,66.516635734364684,66.516635734464685,66.551497539917065,66.551497540017067,66.586333177854087,66.586333177954089,66.62114591912767,66.621145919227672,66.655919408978235,66.655919409078237,66.690578415511638,66.69057841561164,66.725207983477773,66.725207983577775,66.759749235742078,66.759749235842079,66.794267591342972,66.794267591442974,66.828710715049709,66.828710715149711,66.863094961621925,66.863094961721927,66.897426872963422,66.897426873063424,66.966051444223396,66.966051444323398,67.000334291286123,67.000334291386125,67.103146852003164,67.103146852103166,67.137374092883263,67.137374092983265,67.171519559965375,67.171519560065377,67.273919980740629,67.273919980840631,67.342125870154987,67.342125870254989,67.410266340530953,67.410266340630955,67.47833484996471,67.478334850064712,67.512192473277963,67.512192473377965,67.546014116120105,67.546014116220107,67.613618150381356,67.613618150481358,67.647338393714008,67.64733839381401,67.680882005643042,67.680882005743044,67.714402720908637,67.714402721008639,67.781401629064888,67.78140162916489,67.848315492471244,67.848315492571245,67.915127956368124,67.915127956468126,67.948383724528284,67.948383724628286,67.98162313792885,67.981623138028851,68.014806945146788,68.014806945246789,68.04796458474938,68.047964584849382,68.081089514832783,68.081089514932785,68.180389073188863,68.180389073288865,68.213389707099338,68.21338970719934,68.246347818634874,68.246347818734876,68.279266678747376,68.279266678847378,68.345019354222501,68.345019354322503,68.410569230678647,68.410569230778648,68.443246040349152,68.443246040449154,68.508550595411378,68.50855059551138,68.573796273339056,68.573796273439058,68.638996157939872,68.638996158039873,68.704058662560101,68.704058662660103,68.736506505596267,68.736506505696269,68.768934722920932,68.768934723020934,68.833738822339555,68.833738822439557,68.898480773671722,68.898480773771723,68.930814133390726,68.930814133490728,69.027732438749794,69.027732438849796,69.156722427674353,69.156722427774355,69.22115690952613,69.221156909626131,69.253343076408783,69.253343076508784,69.349845970874142,69.349845970974144,69.381966718718417,69.381966718818418,69.446142795368587,69.446142795468589,69.478175227511059,69.478175227611061,69.542191027517205,69.542191027617207,69.574154769669377,69.574154769769379,69.606079260398516,69.606079260498518,69.669892261385698,69.6698922614857,69.733666010949833,69.733666011049834,69.765495644073326,69.765495644173328,69.892758570384672,69.892758570484673,69.924493345902505,69.924493346002507,69.956175786189647,69.956175786289648,69.987763368871143,69.987763368971144,70.019288803466168,70.01928880356617,70.050761902830487,70.050761902930489,70.113632869664997,70.113632869764999,70.17634028890356,70.176340289003562,70.238893973401929,70.238893973501931,70.301388780765762,70.301388780865764,70.332616558736163,70.332616558836165,70.363805085283531,70.363805085383532,70.426129803147575,70.426129803247576,70.457259452560407,70.457259452660409,70.550612420327795,70.550612420427797,70.5815490835774,70.581549083677402,70.612439953500143,70.612439953600145,70.643252320576835,70.643252320676837,70.70481163569184,70.704811635791842,70.796957622201134,70.796957622301136,70.827586815970363,70.827586816070365,70.858199654979998,70.85819965508,70.91936972681664,70.919369726916642,70.949877895364864,70.949877895464866,71.010864793894044,71.010864793994045,71.071747021961826,71.071747022061828,71.102098184817947,71.102098184917949,71.132423180058709,71.13242318015871,71.162712194828359,71.162712194928361,71.223270598656157,71.223270598756159,71.253517091050867,71.253517091150869,71.28370143535912,71.283701435459122,71.313866153955857,71.313866154055859,71.374156339726298,71.3741563398263,71.4042621811885,71.404262181288502,71.434335313131498,71.4343353132315,71.464369193651478,71.46436919375148,71.494350738940753,71.494350739040755,71.55424186857708,71.554241868677082,71.643885576868357,71.643885576968358,71.733346111852157,71.733346111952159,71.763124858122467,71.763124858222469,71.792851269162057,71.792851269262059,71.822541699730536,71.822541699830538,71.852202691731748,71.852202691831749,71.88178845183883,71.881788451938831,71.970493396929356,71.970493397029358,72.000026821805733,72.000026821905735,72.059060962039297,72.059060962139299,72.118042767042155,72.118042767142157,72.176985320621981,72.176985320721982,72.206430429796541,72.206430429896542,72.294706880185686,72.294706880285688,72.324096383177618,72.32409638327762,72.382849221546152,72.382849221646154,72.441543182780137,72.441543182880139,72.529502350833141,72.529502350933143,72.558780641459833,72.558780641559835,72.58802622256735,72.588026222667352,72.61722273939607,72.617222739496071,72.646373462897913,72.646373462997914,72.675488205928673,72.675488206028675,72.762799725501722,72.762799725601724,72.850045826036379,72.85004582613638,72.937219965628842,72.937219965728843,72.966243122005849,72.966243122105851,72.99523683981559,72.995236839915592,73.024210931913828,73.02421093201383,73.082123135639179,73.082123135739181,73.111051434410541,73.111051434510543,73.139963378422308,73.13996337852231,73.197761098830497,73.197761098930499,73.313251869185478,73.31325186928548,73.370922022468818,73.37092202256882,73.428530027665715,73.428530027765717,73.486088968583815,73.486088968683816,73.514843906903479,73.514843907003481,73.572317803071684,73.572317803171686,73.629716467345759,73.62971646744576,73.687052983533377,73.687052983633379,73.744333893538368,73.74433389363837,73.772938368069759,73.772938368169761,73.830104794757574,73.830104794857576,73.887228699070462,73.887228699170464,73.944310081008396,73.944310081108398,74.058391071086291,74.058391071186293,74.086877791348599,74.0868777914486,74.143811980450181,74.143811980550183,74.172236552626018,74.172236552726019,74.229049716506594,74.229049716606596,74.342571373806351,74.342571373906353,74.370920714088058,74.37092071418806,74.455939296365912,74.455939296465914,74.512543119323666,74.512543119423668,74.540807414855493,74.540807414955495,74.625554508124068,74.62555450822407,74.68193263539942,74.681932635499422,74.710053009046803,74.710053009146804,74.766238150158941,74.766238150258943,74.822344788425013,74.822344788525015,74.90639516893485,74.906395169034852,74.934365078793959,74.934365078893961,74.962295737230036,74.962295737330038,75.018068738400387,75.018068738500389,75.045888184471224,75.045888184571226,75.073665108167106,75.073665108267107,75.101425677103407,75.101425677203409,75.129081575578283,75.129081575678285,75.212026374339516,75.212026374439517,75.294892670254683,75.294892670354685,75.377687005227642,75.377687005327644,75.405228420385356,75.405228420485358,75.48780033062782,75.487800330727822,75.515220720564542,75.515220720664544,75.542618213837827,75.542618213937828,75.597393574672893,75.597393574772894,75.652129684084926,75.652129684184928,75.734158616308832,75.734158616408834,75.761379478178497,75.761379478278499,75.870220403282204,75.870220403382206,75.924596707983156,75.924596708083158,75.978904322693793,75.978904322793795,76.006010701246296,76.006010701346298,76.060194019784021,76.060194019884023,76.114334815946805,76.114334816046807,76.141349607845569,76.141349607945571,76.222374357830361,76.222374357930363,76.276341793541434,76.276341793641436,76.330276519733331,76.330276519833333,76.384171994502182,76.384171994602184,76.411085386891457,76.411085386991459,76.437982424521152,76.437982424621154,76.491747061213246,76.491747061313248,76.5454691755304,76.545469175630402,76.572294252217873,76.572294252317874,76.599102974145737,76.599102974245739,76.652697521338055,76.652697521438057,76.679444095179463,76.679444095279464,76.706157959501695,76.706157959601697,76.732848927160475,76.732848927260477,76.759523540059675,76.759523540159677,76.786158901535842,76.786158901635844,76.812771366348571,76.812771366448573,76.86591452217607,76.865914522276071,76.892441942238918,76.89244194233892,76.945437905230051,76.945437905330053,76.971886822446848,76.97188682254685,76.998319384904036,76.998319385004038,77.077577820852582,77.077577820952584,77.18317396165267,77.183173961752672,77.209544376023402,77.209544376123404,77.235878809923022,77.235878810023024,77.262187076207297,77.262187076307299,77.314744731641298,77.3147447317413,77.367178090902371,77.367178091002373,77.445697291717224,77.445697291817226,77.471822384694036,77.471822384794038,77.550135515538003,77.550135515638004,77.628285098786023,77.628285098886025,77.680280150489949,77.680280150589951,77.732213054107433,77.732213054207435,77.810029000259718,77.810029000359719,77.83591531374644,77.835915313846442,77.861759104858209,77.86175910495821,77.96508520502654,77.965085205126542,78.042469385525521,78.042469385625523,78.068188880464376,78.068188880564378,78.093885478739793,78.093885478839795,78.119559180351786,78.119559180451787,78.145206714348419,78.14520671444842,78.222106793963391,78.222106794063393,78.273336442918293,78.273336443018295,78.298908745020796,78.298908745120798,78.37557985800143,78.375579858101432,78.42661979174504,78.426619791845042,78.528640782097682,78.528640782197684,78.554121497546461,78.554121497646463,78.579585858235632,78.579585858335633,78.605027322261378,78.60502732236138,78.681312462915585,78.681312463015587,78.706708133614455,78.706708133714457,78.757470036444943,78.757470036544944,78.808202500708163,78.808202500808164,78.884206339497339,78.884206339597341,78.934801423779945,78.934801423879946,78.985340901879951,78.985340901979953,79.086344626185806,79.086344626285808,79.11153422691379,79.111534227013792,79.187060506722787,79.187060506822789,79.212197772220065,79.212197772320067,79.23731214105392,79.237312141153922,79.287521253010098,79.2875212531101,79.312580015661311,79.312580015761313,79.362664831444576,79.362664831544578,79.387674529817019,79.387674529917021,79.462670915415146,79.462670915515147,79.4876479042684,79.487647904368401,79.512608538362045,79.512608538462047,79.612402010457885,79.612402010557886,79.63732012217659,79.637320122276591,79.712022122102013,79.712022122202015,79.761766758885699,79.761766758985701,79.910889456871516,79.910889456971518,79.960513068434196,79.960513068534198,79.985283987316564,79.985283987416565,80.010035280487401,80.010035280587402,80.0347636769948,80.034763677094801,80.133595489226465,80.133595489326467,80.158222486224389,80.158222486324391,80.256697764696881,80.256697764796883,80.330457730469632,80.330457730569634,80.379544905917612,80.379544906017614,80.40405741959836,80.404057419698361,80.502071493850281,80.502071493950282,80.57550436443114,80.575504364531142,80.648826022646759,80.648826022746761,80.697605728614349,80.69760572871435,80.746342912206998,80.746342912307,80.770688607339892,80.770688607439894,80.819340746182633,80.819340746282634,80.892256806360294,80.892256806460296,80.916514185791371,80.916514185891373,80.940748668559024,80.940748668659026,80.964953712759396,80.964953712859398,81.013321278785199,81.013321278885201,81.13417313933536,81.134173139435362,81.158309493545431,81.158309493645433,81.20655930530215,81.206559305402152,81.23064986618536,81.230649866285361,81.278804820336418,81.27880482043642,81.302833233133171,81.302833233233173,81.350867162063238,81.35086716216324,81.398855297666444,81.398855297766445,81.446807452798524,81.446807452898526,81.494710543651834,81.494710543751836,81.542567841178268,81.54256784127827,81.590379345377855,81.590379345477857,81.638141785298643,81.638141785398645,81.733594704198012,81.733594704298014,81.805136964569698,81.8051369646697,81.828962578347472,81.828962578447474,81.900406710161604,81.900406710261606,81.924186530612516,81.924186530712518,81.94794345439999,81.947943454499992,81.971674210572104,81.971674210672106,82.019103013397171,82.019103013497173,82.066499106703034,82.066499106803036,82.137518014767693,82.137518014867695,82.208379917140249,82.208379917240251,82.231917687149149,82.231917687249151,82.326032786713654,82.326032786813656,82.349534576251443,82.349534576351445,82.373006927221979,82.373006927321981,82.396456381529063,82.396456381629065,82.443316038720226,82.443316038820228,82.466686990181259,82.466686990281261,82.513399454536057,82.513399454636058,82.583404367505835,82.583404367605837,82.630038329014582,82.630038329114583,82.676642851956061,82.676642852056062,82.699896049148009,82.699896049248011,82.746363192108888,82.746363192208889,82.792774728887153,82.792774728987155,82.908716890606939,82.908716890706941,82.931842520674053,82.931842520774055,82.954899460750866,82.954899460850868,83.000987173289147,83.000987173389149,83.070056594010097,83.070056594110099,83.162061929586869,83.162061929686871,83.207982823577282,83.207982823677284,83.299716670144775,83.299716670244777,83.368318344741326,83.368318344841327,83.413987375433976,83.413987375533978,83.459617154703594,83.459617154803595,83.596385467291455,83.596385467391457,83.619141479791736,83.619141479891738,83.710106652658268,83.71010665275827,83.732790704216328,83.732790704316329,83.755455130062856,83.755455130162858,83.823396072371779,83.82339607247178,83.86858100218042,83.868581002280422,83.891134215661708,83.89113421576171,83.936181765489749,83.936181765589751,83.958659747076908,83.95865974717691,84.026054440415365,84.026054440515367,84.093403340426931,84.093403340526933,84.138248091236008,84.13824809133601,84.160634486169428,84.16063448626943,84.183004526343268,84.18300452644327,84.205358211757499,84.205358211857501,84.250023060211035,84.250023060311037,84.316914026953953,84.316914027053954,84.339163041906787,84.339163042006788,84.428106766487403,84.428106766587405,84.605817584245003,84.605817584345004,84.672365101036434,84.672365101136435,84.716670144778874,84.716670144878876,84.783044301118593,84.783044301218595,84.871484299103699,84.871484299203701,84.9377505140301,84.937750514130101,85.025997525851963,85.025997525951965,85.070070332008157,85.070070332108159,85.114094073885568,85.114094073985569,85.158068751484194,85.158068751584196,85.223965348843748,85.22396534894375,85.311708634070101,85.311708634170103,85.355451074082481,85.355451074182483,85.399137907912234,85.399137908012236,85.486459240341048,85.48645924044105,85.530051216565141,85.530051216665143,85.595385210194635,85.595385210294637,85.660634159074249,85.660634159174251,85.682346737912354,85.682346738012356,85.747435410147929,85.747435410247931,85.769105466611109,85.76910546671111,85.812386702402904,85.812386702502906,85.855589435348648,85.85558943544865,85.941893501730661,85.941893501830663,86.028102710507014,86.028102710607016,86.071158250616406,86.071158250716408,86.178736588279392,86.178736588379394,86.200210387627422,86.200210387727424,86.264602347104258,86.26460234720426,86.286040165981177,86.286040166081179,86.307461630098516,86.307461630198517,86.350258765006316,86.350258765106318,86.393010106587241,86.393010106687242,86.457061887064498,86.4570618871645,86.49969874532826,86.499698745428262,86.584897229961655,86.584897230061657,86.66999431508556,86.669994315185562,86.733732084178598,86.7337320842786,86.776172685327225,86.776172685427227,86.818564222197068,86.81856422229707,86.839717468257049,86.839717468357051,86.92427811726624,86.924278117366242,86.987593933561726,86.987593933661728,87.050847601770769,87.050847601870771,87.092951294871739,87.092951294971741,87.156061041196338,87.15606104129634,87.219062846107605,87.219062846207606,87.281901103422925,87.281901103522927,87.302786131425535,87.302786131525536,87.323648262764721,87.323648262864722,87.344490768392404,87.344490768492406,87.406969220996629,87.406969221096631,87.469362628850973,87.469362628950975,87.594070941713596,87.594070941813598,87.635602218228755,87.635602218328756,87.718582997461084,87.718582997561086,87.760035771130191,87.760035771230193,87.842817022295463,87.842817022395465,87.904798290208007,87.904798290308008,87.966727222889858,87.96672722298986,88.02858746558141,88.028587465681412,88.131547219134802,88.131547219234804,88.193243914230408,88.193243914330409,88.275439665002182,88.275439665102184,88.316483569681409,88.316483569781411,88.439507342305774,88.439507342405776,88.500922735536335,88.500922735636337,88.521369455981812,88.521369456081814,88.541793279763866,88.541793279863867,88.562194206882481,88.562194206982483,88.582565695433814,88.582565695533816,88.664002585360393,88.664002585460395,88.724999296745338,88.72499929684534,88.765614706723184,88.765614706823186,88.826477309079436,88.826477309179438,88.866991319547793,88.866991319647795,88.968197842872627,88.968197842972629,89.069338947159082,89.069338947259084,89.129956228121415,89.129956228221417,89.251082848632777,89.251082848732779,89.291400601985998,89.291400602086,89.371951063942532,89.371951064042534,89.49258377071412,89.492583770814122,89.532744518375225,89.532744518475226,89.592933304636176,89.592933304736178,89.63301554945123,89.633015549551232,89.653023962339574,89.653023962439576,89.712990323870031,89.712990323970033,89.752905750137217,89.752905750237218,89.772842202083339,89.772842202183341,89.812679125504459,89.812679125604461,89.912188024783347,89.912188024883349,89.971814207314239,89.971814207414241,90.071097410910724,90.071097411010726,90.150437620657243,90.150437620757245,90.190025951732522,90.190025951832524,90.229571760432862,90.229571760532863,90.26908158866209,90.269081588762091,90.328292360299272,90.328292360399274,90.347947510380365,90.347947510480367,90.446164383651265,90.446164383751267,90.524647603995007,90.524647604095009,90.56385977559961,90.563859775699612,90.661798617957402,90.661798618057404,90.700929015764032,90.700929015864034,90.759557557959639,90.75955755805964,90.818137035876461,90.818137035976463,90.876660907610656,90.876660907710658,90.935138986017989,90.935138986117991,90.993558187290787,90.993558187390789,91.07137740439498,91.071377404494982,91.090793774985983,91.090793775085984,91.187836376517964,91.187836376617966,91.245993901637249,91.245993901737251,91.265335040334108,91.26533504043411,91.32332574690551,91.323325747005512,91.419894060409248,91.41989406050925,91.477767012711567,91.477767012811569,91.535558191215927,91.535558191315928,91.612540044628872,91.612540044728874,91.766363100522241,91.766363100622243,91.900828662959157,91.900828663059158,91.939131509930277,91.939131510030279,91.996530174204352,91.996530174304354,92.034751247377514,92.034751247477516,92.092032157382505,92.092032157482507,92.206482765027246,92.206482765127248,92.320815618402904,92.320815618502905,92.339832932859792,92.339832932959794,92.415859668312393,92.415859668412395,92.47281021217357,92.472810212273572,92.49176864949591,92.491768649595912,92.548601439088003,92.548601439188005,92.586436539934724,92.586436540034725,92.624225847454582,92.624225847554584,92.699739043455907,92.699739043555908,92.737459660985465,92.737459661085467,92.775144298043912,92.775144298143914,92.86927248141609,92.869272481516091,92.888064100190562,92.888064100290563,92.944412788898646,92.944412788998648,92.963168427202021,92.963168427302023,92.981907710745801,92.981907710845803,93.019356839266081,93.019356839366083,93.094147154893307,93.094147154993308,93.168872051482168,93.16887205158217,93.243508632369213,93.243508632469215,93.280771316630108,93.28077131673011,93.31798493661222,93.317984936712222,93.373774292542166,93.373774292642167,93.466675868944733,93.466675869044735,93.485231979181052,93.485231979281053,93.615069144652608,93.61506914475261,93.670642617755902,93.670642617855904,93.744654446826431,93.744654446926432,93.781593306847341,93.781593306947343,93.818479831637561,93.818479831737562,93.855300937389401,93.855300937489403,93.910504792925849,93.910504793025851,93.947263750591219,93.947263750691221,94.02072605973936,94.020726059839362,94.094100053185684,94.094100053285686,94.112410842028069,94.112410842128071,94.148996439241742,94.148996439341744,94.222079317967271,94.222079318067273,94.24032141681937,94.240321416919372,94.349715132797371,94.349715132897373,94.422575586792419,94.422575586892421,94.531766503751456,94.531766503851458,94.586276917481072,94.586276917581074,94.64070555741273,94.640705557512732,94.695091674969433,94.695091675069435,94.713153871465977,94.713153871565979,94.767311022388355,94.767311022488357,94.857491166794347,94.857491166894349,94.947596079306194,94.947596079406196,95.001573327873018,95.00157332797302,95.01954720866776,95.019547208767762,95.05546226073804,95.055462260838041,95.181040646811113,95.181040646911114,95.270641832727449,95.270641832827451,95.342206989762573,95.342206989862575,95.395808078858721,95.395808078958723,95.413647850624784,95.413647850724786,95.449294684637707,95.449294684737708,95.52046732744256,95.520467327542562,95.62717559189511,95.627175591995112,95.680475753414711,95.680475753514713,95.751461951960181,95.751461952060183,95.840065497541232,95.840065497641234,95.893156318138011,95.893156318238013,95.963857943866543,95.963857943966545,95.999167869831808,95.99916786993181,96.052072246169232,96.052072246269233,96.087290585480773,96.087290585580774,96.122472944321203,96.122472944421204,96.175200689254993,96.175200689354995,96.210311087153201,96.210311087253203,96.245392046484156,96.245392046584158,96.315495088011502,96.315495088111504,96.40304211612272,96.403042116222721,96.490481202820604,96.490481202920606,96.577838515720515,96.577838515820517,96.630183559279786,96.630183559379788,96.717334802208811,96.717334802308812,96.78698318141943,96.786983181519432,96.839154864526989,96.839154864626991,96.943396831232619,96.94339683133262,96.995454031023016,96.995454031123018,97.13411949572388,97.134119495823882,97.16873925083425,97.168739250934252,97.23792969677622,97.237929696876222,97.341566537376835,97.341566537476837,97.376068538218135,97.376068538318137,97.445023475621923,97.445023475721925,97.496668535470533,97.496668535570535,97.582638964756796,97.582638964856798,97.634133560817133,97.634133560917135,97.651266806968692,97.651266807068694,97.71976054015191,97.719760540251912,97.788175770489076,97.788175770589078,97.839434858011245,97.839434858111247,97.890651423158474,97.890651423258475,97.992986424895349,97.992986424995351,98.129296804214562,98.129296804314563,98.146309025145115,98.146309025245117,98.197316249369521,98.197316249469523,98.248280951218987,98.248280951318989,98.299180234030061,98.299180234130063,98.383930598250558,98.38393059835056,98.417781679659981,98.417781679759983,98.485428236296187,98.485428236396189,98.552986477230576,98.552986477330577,98.62045967341507,98.620459673515072,98.654157020084298,98.6541570201843,98.670982796755482,98.670982796855483,98.738253193920997,98.738253194020999,98.839021409688684,98.839021409788685,98.906121717354424,98.906121717454425,98.93963589071619,98.939635890816191,98.95635372597404,98.956353726074042,99.006484335084167,99.006484335184169,99.056569150867418,99.05656915096742,99.156604673405269,99.156604673505271,99.239863483550707,99.239863483650709,99.306404458438308,99.30640445853831,99.372863659527923,99.372863659627924,99.422644276782719,99.422644276882721,99.505549824120919,99.505549824220921,99.555245396625821,99.555245396725823,99.637980854464232,99.637980854564233,99.671043636461164,99.671043636561166,99.70406389608317,99.704063896183172,99.786531135864223,99.786531135964225,99.802993836872389,99.802993836972391,99.868798847578219,99.868798847678221,99.901655559604265,99.901655559704267,99.96726431319496,99.967264313294962,100.0],[0.0,1e-10,3.9826894193031728,3.9826894194031728,6.9158861662340616,6.9158861663340616,9.4386028540100479,9.438602854110048,11.877576834075116,11.877576834175116,13.624426063974473,13.624426064074473,15.253027436859293,15.253027436959293,16.841452584000354,16.841452584100352,18.402226305797733,18.402226305897731,19.904391395507179,19.904391395607178,21.296350631336669,21.296350631436667,22.686558422505893,22.686558422605891,24.013505834676014,24.013505834776012,25.144567395984744,25.144567396084742,26.238200979119512,26.23820097921951,27.310952386047688,27.310952386147687,28.302833229241578,28.302833229341577,29.14951874693427,29.149518747034268,29.925808578925107,29.925808579025105,30.62546285163349,30.625462851733488,31.290048809552637,31.290048809652635,31.937936910823307,31.937936910923305,32.5781040132862,32.578104013386202,33.18563004420286,33.185630044302862,33.77533188749981,33.775331887599812,34.270455719142618,34.270455719242619,34.753522177738404,34.753522177838406,35.181122467655996,35.181122467755998,35.604527174705758,35.60452717480576,36.025820011184464,36.025820011284466,36.417338288438721,36.417338288538723,36.802228107927284,36.802228108027286,37.17159708663231,37.171597086732312,37.533363331281535,37.533363331381537,37.88036337689794,37.880363376997941,38.216117007766613,38.216117007866615,38.534232295625834,38.534232295725836,38.851958999299988,38.85195899939999,39.16643060646728,39.166430606567282,39.473310742888486,39.473310742988488,39.769045834349377,39.769045834449379,40.064747135881134,40.064747135981136,40.359310843131944,40.359310843231945,40.649594492692081,40.649594492792083,40.939759877500244,40.939759877600245,41.21701750937811,41.217017509478111,41.49037240444067,41.490372404540672,41.760708732500333,41.760708732600335,42.026641106462492,42.026641106562494,42.290636191154135,42.290636191254137,42.552496878655298,42.552496878755299,42.803702475168627,42.803702475268629,43.053212943570259,43.05321294367026,43.301383078116125,43.301383078216126,43.544738147759979,43.544738147859981,43.788059427474707,43.788059427574709,44.025884212049824,44.025884212149826,44.261681600876734,44.261681600976736,44.497096037173428,44.49709603727343,44.727667250293834,44.727667250393836,44.95304607763687,44.953046077736872,45.177687158193748,45.17768715829375,45.395530831339258,45.39553083143926,45.612642389353468,45.61264238945347,45.826909961665322,45.826909961765324,46.039437352626635,46.039437352726637,46.251097468740092,46.251097468840094,46.462554845278731,46.462554845378733,46.671821508078324,46.671821508178326,46.880609480215149,46.880609480315151,47.088000801947651,47.088000802047652,47.294186949540936,47.294186949640938,47.500001407913715,47.500001408013716,47.704475532430727,47.704475532530729,47.908544177798099,47.908544177898101,48.10956046623344,48.109560466333441,48.309118156061039,48.309118156161041,48.507273563829457,48.507273563929459,48.704944649280243,48.704944649380245,48.898994580658531,48.898994580758533,49.091794284658754,49.091794284758755,49.477134636535808,49.47713463663581,49.669292331882431,49.669292331982433,49.860577120726347,49.860577120826349,50.050634208811623,50.050634208911625,50.240212606234131,50.240212606334133,50.429537579188107,50.429537579288109,50.618389493134167,50.618389493234169,50.806143234383278,50.80614323448328,50.993784342535271,50.993784342635273,51.180169591654341,51.180169591754343,51.364245862282388,51.36424586238239,51.54806870844191,51.548068708541912,51.7316381301329,51.731638130232902,51.913135102836833,51.913135102936835,52.094440599275657,52.094440599375659,52.274174864009616,52.274174864109618,52.452839114320902,52.452839114420904,52.631233045199096,52.631233045299098,52.808861071016857,52.808861071116858,52.985295186005111,52.985295186105112,53.160726866428973,53.160726866528975,53.333489142451022,53.333489142551024,53.505288405492664,53.505288405592665,53.676349921748155,53.676349921848157,53.847180540154547,53.847180540254548,54.016417400236641,54.016417400336643,54.185372677575934,54.185372677675936,54.350796907320422,54.350796907420424,54.51281961753179,54.512819617631791,54.674577639964923,54.674577640064925,54.836161081097522,54.836161081197524,54.99639292506464,54.996392925164642,55.153730098435695,55.153730098535696,55.310718109205673,55.310718109305675,55.467188007728886,55.467188007828888,55.621495350787335,55.621495350887336,55.775042420440201,55.775042420540203,55.927823585032641,55.927823585132643,56.080334430191975,56.080334430291977,56.232535534334225,56.232535534434227,56.384494477317666,56.384494477417668,56.534679449021418,56.53467944912142,56.684543416398363,56.684543416498364,56.833917429802831,56.833917429902833,56.982407273394877,56.982407273494879,57.129973525590522,57.129973525690524,57.277094877052527,57.277094877152528,57.423748801161473,57.423748801261475,57.57026756555387,57.570267565653872,57.714330928428986,57.714330928528987,57.857470699907694,57.857470700007696,58.000464048360143,58.000464048460145,58.142297275912227,58.142297276012229,58.28340401998787,58.283404020087872,58.42434744607268,58.424347446172682,58.565200765679798,58.565200765779799,58.705372655049317,58.705372655149318,58.845460069595994,58.845460069695996,58.985153268302739,58.98515326840274,59.124390302966134,59.124390303066136,59.262461585074313,59.262461585174314,59.398387206682294,59.398387206782296,59.534200195193158,59.53420019529316,59.667614098735299,59.667614098835301,59.800453573482116,59.800453573582118,59.933124098583242,59.933124098683244,60.06523145819876,60.065231458298761,60.196432121382436,60.196432121482438,60.327525783123846,60.327525783223848,60.45856312831669,60.458563128416692,60.588688145422843,60.588688145522845,60.718756845980437,60.718756846080439,60.846291301852759,60.84629130195276,60.973752546211955,60.973752546311957,61.100673151704953,61.100673151804955,61.227070013296334,61.227070013396336,61.352329280606774,61.352329280706776,61.475955368008933,61.475955368108934,61.599463190659115,61.599463190759117,61.72261621905335,61.722616219153352,61.844671074750643,61.844671074850645,61.966500664253694,61.966500664353696,62.087496768838029,62.087496768938031,62.207963497865883,62.207963497965885,62.328244382283486,62.328244382383488,62.447922679631489,62.447922679731491,62.566835071919051,62.566835072019053,62.685353248366681,62.685353248466683,62.803578578761794,62.803578578861796,62.921719434334058,62.92171943443406,63.039623760402371,63.039623760502373,63.157319715241002,63.157319715341004,63.273799232630708,63.27379923273071,63.38947905503084,63.389479055130842,63.503863596814057,63.503863596914059,63.618208717013289,63.618208717113291,63.732159621372581,63.732159621472583,63.845964102705615,63.845964102805617,63.959734794109515,63.959734794209517,64.073387220761433,64.073387220861434,64.186893224387092,64.186893224487093,64.299424951722642,64.299424951822644,64.411641306386244,64.411641306486246,64.523722501333296,64.523722501433298,64.635375690511282,64.635375690611284,64.745575912736385,64.745575912836387,64.855455130634681,64.855455130734683,64.96522171543586,64.965221715535861,65.073974602362924,65.073974602462926,65.182445906547187,65.182445906647189,65.290872157492601,65.290872157592602,65.398836612739814,65.398836612839816,65.506671539925335,65.506671540025337,65.614129146235499,65.6141291463355,65.720905322308056,65.720905322408058,65.827597023557772,65.827597023657773,65.93404093199382,65.934040932093822,66.146878063972224,66.146878064072226,66.252516645763848,66.252516645863849,66.357687800202399,66.357687800302401,66.462414053907324,66.462414054007326,66.566920673072858,66.566920673172859,66.670785283584792,66.670785283684793,66.7745766825836,66.774576682683602,66.878018918981326,66.878018919081327,66.980943043132285,66.980943043232287,67.083788324115247,67.083788324215249,67.289180408373824,67.289180408473825,67.391394944012902,67.391394944112903,67.493237790431479,67.493237790531481,67.594968003752939,67.594968003852941,67.69635468612816,67.696354686228162,67.797600577131988,67.797600577231989,67.89822135444679,67.898221354546791,67.998200123107978,67.99820012320798,68.198101343881802,68.198101343981804,68.297961847791015,68.297961847891017,68.397383082621445,68.397383082721447,68.496556524638208,68.49655652473821,68.595622965212698,68.5956229653127,68.694576772690084,68.694576772790086,68.793294050663491,68.793294050763492,68.891082105585639,68.891082105685641,68.988633631003836,68.988633631103838,69.086134471528325,69.086134471628327,69.183139726425466,69.183139726525468,69.279874661889522,69.279874661989524,69.376378699504471,69.376378699604473,69.472556101137769,69.472556101237771,69.56850260492196,69.568502605021962,69.760164714641235,69.760164714741236,69.855198890338727,69.855198890438729,69.950176749487653,69.950176749587655,70.140014203033545,70.140014203133546,70.234609109652268,70.23460910975227,70.328477532794537,70.328477532894539,70.421298468133557,70.421298468233559,70.513911032242916,70.513911032342918,70.606236381954602,70.606236382054604,70.698488520153163,70.698488520253164,70.790239441069517,70.790239441169518,70.881607409455654,70.881607409555656,70.972682531789289,70.972682531889291,71.063369069937835,71.063369070037837,71.153988028228113,71.153988028328115,71.244550669969826,71.244550670069827,71.334330511686531,71.334330511786533,71.424076563474102,71.424076563574104,71.51369871885484,71.513698718954842,71.692222177794719,71.69222217789472,71.781072796460165,71.781072796560167,71.958700822277919,71.958700822377921,72.047106540209739,72.047106540309741,72.135123673956471,72.135123674056473,72.222566378907871,72.222566379007873,72.309930240691301,72.309930240791303,72.397215259306734,72.397215259406735,72.484122957046807,72.484122957146809,72.570889863415474,72.570889863515475,72.657335765457347,72.657335765557349,72.743635244472955,72.743635244572957,72.829681299020038,72.82968129912004,72.915057186639231,72.915057186739233,73.000281019577315,73.000281019677317,73.085121899985182,73.085121900085184,73.169906463844498,73.1699064639445,73.254065914014774,73.254065914114776,73.338028256265076,73.338028256365078,73.421945545276529,73.421945545376531,73.589667490202331,73.589667490302332,73.673258143232133,73.673258143332134,73.756302525740892,73.756302525840894,73.839211748533089,73.83921174863309,73.921563437494541,73.921563437594543,74.003605385438902,74.003605385538904,74.085410803879313,74.085410803979315,74.248695004778455,74.248695004878456,74.330162523927498,74.3301625240275,74.410655766786419,74.410655766886421,74.491070166477343,74.491070166577344,74.571135403567197,74.571135403667199,74.6511443241085,74.651144324208502,74.810874950793419,74.810874950893421,74.890450233910784,74.890450234010785,74.969772092559623,74.969772092659625,75.048840526739937,75.048840526839939,75.127745642929426,75.127745643029428,75.206571915950931,75.206571916050933,75.285313714149595,75.285313714249597,75.363965405870545,75.363965405970546,75.442211618441874,75.442211618541876,75.520300144677208,75.52030014477721,75.676375827360488,75.67637582746049,75.754177139198177,75.754177139298179,75.831663078363917,75.831663078463919,75.909103964290807,75.909103964390809,75.986319584023448,75.98631958412345,76.063473255552665,76.063473255652667,76.140367870958514,76.140367871058515,76.217234328090072,76.217234328190074,76.293791044204553,76.293791044304555,76.370313970389887,76.370313970489889,76.44652715555813,76.446527155658131,76.522554496116129,76.522554496216131,76.674378279383021,76.674378279483022,76.749921297623388,76.74992129772339,76.825216523050088,76.82521652315009,76.900449800273364,76.900449800373366,76.975632392602932,76.975632392702934,77.125913102439242,77.125913102539243,77.200943640087701,77.200943640187702,77.350700606022386,77.350700606122388,77.425325664521196,77.425325664621198,77.499770510064607,77.499770510164609,77.574159039059467,77.574159039159468,77.64844619826691,77.648446198366912,77.722513722934977,77.722513723034979,77.796113820249971,77.796113820349973,77.869071908911366,77.869071909011367,77.941804731378511,77.941804731478513,78.014419289093681,78.014419289193683,78.08667905255291,78.086679052652912,78.158865604499013,78.158865604599015,78.230832521905725,78.230832522005727,78.374591775418608,78.37459177551861,78.446023685613994,78.446023685713996,78.588752346288203,78.588752346388205,78.659863252156782,78.659863252256784,78.801764059567134,78.801764059667136,78.943248124518135,78.943248124618137,79.013807128210814,79.013807128310816,79.084225340532086,79.084225340632088,79.154463339897973,79.154463339997974,79.22449296803417,79.224492968134172,79.364281904873465,79.364281904973467,79.433528732984655,79.433528733084657,79.502747402821569,79.502747402921571,79.5718872294905,79.571887229590502,79.640244256134423,79.640244256234425,79.77677809646687,79.776778096566872,79.912940247578817,79.912940247678819,79.980407472755459,79.980407472855461,80.04771137994129,80.047711380041292,80.114987128852832,80.114987128952833,80.182195297906091,80.182195298006093,80.249200727384547,80.249200727484549,80.315795046058483,80.315795046158485,80.448578204256748,80.44857820435675,80.514468566073674,80.514468566173676,80.580302611342034,80.580302611442036,80.646001496893859,80.646001496993861,80.777027578776995,80.777027578876996,80.842050665746072,80.842050665846074,80.972057418100249,80.972057418200251,81.036990398591641,81.036990398691643,81.166760621441853,81.166760621541854,81.231355702641864,81.231355702741865,81.295815624125339,81.295815624225341,81.360072806033983,81.360072806133985,81.42423424981007,81.424234249910072,81.55230934454859,81.552309344648592,81.616127257378452,81.616127257478453,81.679427057961561,81.679427058061563,81.868830874083514,81.868830874183516,81.931578772490724,81.931578772590726,81.994247827729936,81.994247827829938,82.056888724694858,82.05688872479486,82.181793197749371,82.181793197849373,82.243949772396675,82.243949772496677,82.306044398840555,82.306044398940557,82.368060182116452,82.368060182216453,82.430036543808356,82.430036543908358,82.491900272403143,82.491900272503145,82.55362884128138,82.553628841381382,82.615115249000809,82.615115249100811,82.737339054343778,82.73733905444378,82.798065188657617,82.798065188757619,82.858622373325773,82.858622373425774,82.918745920570018,82.91874592067002,82.978784992991407,82.978784993091409,83.038615694183122,83.038615694283124,83.09829997234857,83.098299972448572,83.157894144036334,83.157894144136336,83.217161679742432,83.217161679842434,83.335533433163803,83.335533433263805,83.394423647994543,83.394423648094545,83.453263177931575,83.453263178031577,83.5117817035418,83.511781703641802,83.68721338396567,83.687213384065672,83.745562959930211,83.745562960030213,83.803563373293684,83.803563373393686,83.861377942046886,83.861377942146888,83.91897287626071,83.918972876360712,83.976517125580841,83.976517125680843,84.091273356584566,84.091273356684567,84.14842339006475,84.148423390164751,84.20540447389925,84.205404473999252,84.262272924636633,84.262272924736635,84.375762033297718,84.37576203339772,84.432123635098051,84.432123635198053,84.488254339049277,84.488254339149279,84.544018985434846,84.544018985534848,84.599586523900456,84.599586524000458,84.654264260898799,84.654264260998801,84.708880049693718,84.70888004979372,84.763467680214362,84.763467680314363,84.817942677637888,84.817942677737889,84.871944616053483,84.871944616153485,84.925912764539945,84.925912764639946,85.033792744964316,85.033792745064318,85.087586312150236,85.087586312250238,85.141351721061881,85.141351721161882,85.194976338602117,85.194976338702119,85.248370058293261,85.248370058393263,85.408449847579263,85.408449847679265,85.461674617624709,85.461674617724711,85.514792386227896,85.514792386327898,85.567848206627673,85.567848206727675,85.62084771047887,85.620847710578872,85.673790897781515,85.673790897881517,85.726638346951617,85.726638347051619,85.779378794679431,85.779378794779433,85.832023504274702,85.832023504374703,85.884426052711163,85.884426052811165,85.989107253177238,85.98910725327724,86.041126849083483,86.041126849183485,86.093000021963448,86.09300002206345,86.196633734626289,86.196633734726291,86.248315431241153,86.248315431341155,86.299754966697208,86.299754966797209,86.453803253632273,86.453803253732275,86.504893626487245,86.504893626587247,86.606905422551506,86.606905422651508,86.7085793193244,86.708579319424402,86.759095263384054,86.759095263484056,86.860065203299925,86.860065203399927,86.910226353103639,86.91022635320364,86.960291764774794,86.960291764874796,87.009917907367168,87.00991790746717,87.059448311826984,87.059448311926985,87.108928031393091,87.108928031493093,87.15837396103008,87.158373961130081,87.207684730950504,87.207684731050506,87.256939184322377,87.256939184422379,87.306069741287402,87.306069741387404,87.355138350049018,87.355138350149019,87.404156273916939,87.404156274016941,87.452892615042032,87.452892615142034,87.501538849689439,87.501538849789441,87.598668000993428,87.598668001093429,87.647105864411145,87.647105864511147,87.695509937899743,87.695509937999745,87.743874589804335,87.743874589904337,87.792013975514692,87.792013975614694,87.840040728127917,87.840040728227919,87.887988637573159,87.88798863767316,87.935880230469849,87.93588023056985,88.031623994679208,88.03162399477921,88.079453639372474,88.079453639472476,88.174836977671049,88.174836977771051,88.222199195011257,88.222199195111259,88.364100002421608,88.36410000252161,88.411129952125307,88.411129952225309,88.458086690315866,88.458086690415868,88.504891373825302,88.504891373925304,88.55161158251191,88.551611582611912,88.597869995500304,88.597869995600306,88.690274188379988,88.690274188479989,88.736369283377556,88.736369283477558,88.782340481968291,88.782340482068292,88.827956886303085,88.827956886403086,88.873500079124753,88.873500079224755,88.918975692088139,88.918975692188141,89.009887496430935,89.009887496530936,89.055166001474362,89.055166001574364,89.145610378464099,89.145610378564101,89.190556615871017,89.190556615971019,89.235429641764796,89.235429641864798,89.280077401464339,89.280077401564341,89.369299709350287,89.369299709450289,89.413846099262429,89.413846099362431,89.458347435935707,89.458347436035709,89.502792456060419,89.502792456160421,89.547158633017148,89.547158633117149,89.591423440186475,89.591423440286476,89.635643194116952,89.635643194216954,89.679767209914871,89.679767210014873,89.723744802686525,89.723744802786527,89.767598499051346,89.767598499151347,89.811401510522472,89.811401510622474,90.030337724710066,90.030337724810067,90.117831114555187,90.117831114655189,90.161487703000034,90.161487703100036,90.248699510102341,90.248699510202343,90.292158990627243,90.292158990727245,90.335460784816163,90.335460784916165,90.378604892669102,90.378604892769104,90.421715210592922,90.421715210692923,90.464611525632193,90.464611525732195,90.50746278743263,90.507462787532631,90.550212679445636,90.550212679545638,90.678315932458432,90.678315932558434,90.763517238777098,90.7635172388771,90.806070022870145,90.806070022970147,90.848346855875249,90.848346855975251,90.932838573682034,90.932838573782035,90.975025300209438,90.97502530030944,91.017150078533433,91.017150078633435,91.05924106692828,91.059241067028282,91.101253212155143,91.101253212255145,91.227205173012891,91.227205173112893,91.269093421832906,91.269093421932908,91.35284176119869,91.352841761298691,91.478309399738805,91.478309399838807,91.519961119054869,91.519961119154871,91.561477678654398,91.5614776787544,91.602909763431072,91.602909763531073,91.685543035135325,91.685543035235327,91.767900355751635,91.767900355851637,91.808949487998092,91.808949488098094,91.849942303695997,91.849942303795999,91.931832196959249,91.931832197059251,91.972594114808047,91.972594114908048,92.013040659984895,92.013040660084897,92.053430888613192,92.053430888713194,92.093674694215224,92.093674694315226,92.133732655206998,92.133732655307,92.173762457924497,92.173762458024498,92.213702154164295,92.213702154264297,92.253551743926394,92.253551744026396,92.293333753830225,92.293333753930227,92.372813298815046,92.372813298915048,92.412330620940637,92.412330621040638,92.491280790368975,92.491280790468977,92.530662952778016,92.530662952878018,92.570016956912767,92.570016957012768,92.609342802773256,92.609342802873257,92.648629227049739,92.64862922714974,92.687870598087372,92.687870598187374,92.727083810850729,92.727083810950731,92.766263233684953,92.766263233784954,92.844543236185416,92.844543236285418,92.88349739282539,92.883497392925392,92.961332494592199,92.961332494692201,93.000157123170482,93.000157123270483,93.077637430681364,93.077637430781365,93.154802365520311,93.154802365620313,93.193227146603803,93.193227146703805,93.269969707328528,93.26996970742853,93.308236802076053,93.308236802176054,93.384675253438544,93.384675253538546,93.422784661850102,93.422784661950104,93.536814409377385,93.536814409477387,93.574540865258712,93.574540865358713,93.649909302198537,93.649909302298539,93.687523124982746,93.687523125082748,93.725035577979554,93.725035578079556,93.799964745840597,93.799964745940599,93.83726882760773,93.837268827707732,93.87447717124229,93.874477171342292,93.911527828540883,93.911527828640885,93.98552214169581,93.985522141795812,94.02243200762301,94.022432007723012,94.059296820311346,94.059296820411348,94.095851891982605,94.095851892082607,94.13229996221159,94.132299962311592,94.241542803111145,94.241542803211146,94.314191150755462,94.314191150855464,94.386619863860375,94.386619863960377,94.422684981559144,94.422684981659145,94.458575517957371,94.458575518057373,94.494392842842473,94.494392842942474,94.530176377798441,94.530176377898442,94.60168713116181,94.601687131261812,94.673073988118333,94.673073988218334,94.708491465508644,94.708491465608645,94.743841363040687,94.743841363140689,94.779056100856181,94.779056100956183,94.814231417087683,94.814231417187685,94.849282836912337,94.849282837012339,94.919295570083975,94.919295570183976,94.95419493522752,94.954194935327521,94.988947877344813,94.988947877444815,95.023610712984393,95.023610713084395,95.092846277785881,95.092846277885883,95.161941051215962,95.161941051315964,95.196429305555014,95.196429305655016,95.265349497684539,95.265349497784541,95.299742013891034,95.299742013991036,95.334100740168395,95.334100740268397,95.368414413206906,95.368414413306908,95.436951652806229,95.436951652906231,95.471152692747609,95.47115269284761,95.539475929462398,95.5394759295624,95.607714691354346,95.607714691454348,95.641566568694643,95.641566568794644,95.709090110419851,95.709090110519853,95.742739248185345,95.742739248285346,95.809998102132312,95.809998102232313,95.843557133420092,95.843557133520093,95.910523141314556,95.910523141414558,95.943862538062945,95.943862538162946,95.97715124991764,95.977151250017641,96.010406171843186,96.010406171943188,96.043599145565324,96.043599145665326,96.143048538670044,96.143048538770046,96.209203588265211,96.209203588365213,96.242120610899391,96.242120610999393,96.274970053675304,96.274970053775306,96.373417012215626,96.373417012315628,96.406142558584691,96.406142558684692,96.471497913190291,96.471497913290293,96.50408829984282,96.504088299942822,96.536644896566216,96.536644896666218,96.569173335015321,96.569173335115323,96.634179527019839,96.634179527119841,96.666623490646103,96.666623490746105,96.731455101350079,96.731455101450081,96.796207868886057,96.796207868986059,96.828499777831212,96.828499777931214,96.860752265192374,96.860752265292376,96.892937172695255,96.892937172795257,96.957154933019908,96.957154933119909,96.98900757288628,96.989007572986282,97.02075884296525,97.020758843065252,97.052470691460215,97.052470691560217,97.115838071901592,97.115838072001594,97.147487972193147,97.147487972293149,97.179109714210412,97.179109714310414,97.210692034643685,97.210692034743687,97.242201143563832,97.242201143663834,97.273682094209704,97.273682094309706,97.305005358519594,97.305005358619596,97.336283569590634,97.336283569690636,97.398738621945327,97.398738622045329,97.461041619618882,97.461041619718884,97.523254510814752,97.523254510914754,97.585394190497482,97.585394190597484,97.616430240409713,97.616430240509715,97.647415605428236,97.647415605528238,97.678215125836516,97.678215125936518,97.739769113414212,97.739769113514214,97.801165414655927,97.801165414755928,97.831745300524815,97.831745300624817,97.862285764809698,97.8622857649097,97.953828314496391,97.953828314596393,97.984295567268148,97.98429556736815,98.014700871836482,98.014700871936483,98.105832310718668,98.10583231081867,98.166473970209665,98.166473970309667,98.196642745274062,98.196642745374064,98.226783362064154,98.226783362164156,98.256884557270268,98.25688455737027,98.286957594202093,98.286957594302095,98.317002472859642,98.317002472959643,98.437114407631569,98.437114407731571,98.497057741920401,98.497057742020402,98.526922407622564,98.526922407722566,98.646195225820918,98.64619522592092,98.705609184553268,98.705609184653269,98.764904878533656,98.764904878633658,98.794358433431299,98.794358433531301,98.853107856890645,98.853107856990647,98.882375567178045,98.882375567278046,98.911575697607162,98.911575697707164,98.969925273571718,98.96992527367172,99.028190374713418,99.02819037481342,99.086331579448284,99.086331579548286,99.144270044608334,99.144270044708335,99.230890527950748,99.23089052805075,99.288485462164573,99.288485462264575,99.374739887941331,99.374739888041333,99.43212645092548,99.432126451025482,99.489366590883364,99.489366590983366,99.546454676160138,99.54645467626014,99.631960091841023,99.631960091941025,99.688867964162398,99.6888679642624,99.717274031256807,99.717274031356808,99.774029848897072,99.774029848997074,99.830650506820774,99.830650506920776,99.91543507068009,99.915435070780092,99.971841725719258,99.97184172581926,100.0],[0.0,1e-10,4.9940146413838482,4.9940146414838482,8.8048678348966316,8.8048678349966316,10.415219063151365,10.415219063251365,11.646189888363178,11.646189888463178,12.834172561525852,12.834172561625852,13.810862490641444,13.810862490741444,14.628699908564954,14.628699908664954,15.359060200191973,15.359060200291973,16.042005135645329,16.042005135745327,16.71702980291991,16.717029803019908,17.346684482326356,17.346684482426355,17.851832900138788,17.851832900238787,18.354081499249656,18.354081499349654,18.807285531069034,18.807285531169033,19.231982795530595,19.231982795630593,19.622626005866312,19.62262600596631,20.012419193010118,20.012419193110116,20.37466631609113,20.374666316191128,20.733194587707541,20.733194587807539,21.079052201119559,21.079052201219557,21.424453812506755,21.424453812606753,21.75059265874814,21.750592658848138,22.065685630698834,22.065685630798832,22.375133917390762,22.375133917490761,22.683351441336072,22.68335144143607,22.991073118419433,22.991073118519431,23.296328842805433,23.296328842905432,23.596373747936866,23.596373748036864,23.893293046956387,23.893293047056385,24.185603626482276,24.185603626582274,24.471791382703948,24.471791382803946,24.754415239605379,24.754415239705377,25.027888065581415,25.027888065681413,25.295375311581093,25.295375311681092,25.558417644639746,25.558417644739745,25.815514242559164,25.815514242659162,26.071371223323716,26.071371223423714,26.324204423671215,26.324204423771214,26.566965734635421,26.566965734735419,26.808797332733477,26.808797332833475,27.050150792786084,27.050150792886082,27.290849026628262,27.29084902672826,27.521183175614926,27.521183175714924,27.745425491726241,27.745425491826239,27.963084555304391,27.963084555404389,28.178512308003778,28.178512308103777,28.39191682841826,28.391916828518259,28.601992091331095,28.601992091431093,28.807812811080264,28.807812811180263,29.010383963002031,29.010383963102029,29.207390119339273,29.207390119439271,29.402567840373081,29.402567840473079,29.594814752276456,29.594814752376454,29.784392060092745,29.784392060192744,29.972008116481867,29.972008116581865,30.15907962676367,30.159079626863669,30.34558888212166,30.345588882221659,30.530074905194745,30.530074905294743,30.711948877834356,30.711948877934354,30.893645762308989,30.893645762408987,31.074200428119493,31.074200428219491,31.25276285207396,31.252762852173959,31.431254440762437,31.431254440862435,31.60605374121106,31.606053741311058,31.779175131296487,31.779175131396485,31.951530615068371,31.95153061516837,32.12301836683185,32.123018366931852,32.293749066690033,32.293749066790035,32.463815685929532,32.463815686029534,32.632098141906859,32.632098142006861,32.798503463335379,32.798503463435381,32.963292855258452,32.963292855358453,33.12459803753552,33.124598037635522,33.285221430377412,33.285221430477414,33.445428666031596,33.445428666131598,33.604821296126872,33.604821296226874,33.763536563991096,33.763536564091098,33.921893228321231,33.921893228421233,34.076995897619845,34.076995897719847,34.225046030748082,34.225046030848084,34.36943486606534,34.369434866165342,34.509648847893175,34.509648847993176,34.64948651737042,34.649486517470422,34.789076263416696,34.789076263516698,34.927661034126707,34.927661034226709,35.065262965521065,35.065262965621066,35.19996950541799,35.199969505517991,35.331594711244243,35.331594711344245,35.463095955355008,35.46309595545501,35.592600530405619,35.592600530505621,35.720205834886805,35.720205834986807,35.846815018439969,35.846815018539971,35.973229405011658,35.97322940511166,36.099448994601865,36.099448994701866,36.225407379148727,36.225407379248729,36.351321491654346,36.351321491754348,36.476784029339257,36.476784029439258,36.601817128224091,36.601817128324093,36.726208282510875,36.726208282610877,36.850134580364582,36.850134580464584,36.971612634337419,36.97161263443742,37.092546142202949,37.09254614230295,37.2123108681796,37.212310868279602,37.331216716556092,37.331216716656094,37.449865787093366,37.449865787193367,37.567288522088141,37.567288522188143,37.683874515503383,37.683874515603385,37.800420664081507,37.800420664181509,37.915771467546001,37.915771467646003,38.030989454886765,38.030989454986766,38.144157646717879,38.144157646817881,38.257259430487117,38.257259430587119,38.36942264698196,38.369422647081961,38.481422056924195,38.481422057024197,38.592429773142534,38.592429773242536,38.703375508503129,38.703375508603131,38.814122019678123,38.814122019778125,38.923611204881752,38.923611204981754,39.032994137186392,39.032994137286394,39.14225753497967,39.142257535079672,39.25068861839754,39.250688618497541,39.35852645646272,39.358526456562721,39.465956991748442,39.465956991848444,39.573130749194945,39.573130749294947,39.679697979676391,39.679697979776392,39.784728970326618,39.78472897042662,39.889410211851015,39.889410211951017,39.992834127404045,39.992834127504047,40.095956993076605,40.095956993176607,40.198978033054303,40.198978033154305,40.301870684112387,40.301870684212389,40.507067168079999,40.507067168180001,40.608157947059404,40.608157947159405,40.708783869605732,40.708783869705734,40.9097302376138,40.909730237713802,41.010028547054915,41.010028547154917,41.109954971349573,41.109954971449575,41.209806133174105,41.209806133274107,41.308944515134598,41.3089445152346,41.407865964092984,41.407865964192986,41.50629599339355,41.506295993493552,41.60315879243403,41.603158792534032,41.699711687185797,41.699711687285799,41.795228616172423,41.795228616272425,41.890453349686837,41.890453349786839,41.984194969819526,41.984194969919528,42.077002449881945,42.077002449981947,42.169482316839151,42.169482316939153,42.261413210484911,42.261413210584912,42.352941228555345,42.352941228655347,42.535886584593094,42.535886584693095,42.717906654968814,42.717906655068816,42.808389852865858,42.80838985296586,42.898780079476282,42.898780079576284,42.988811702552624,42.988811702652626,43.078803480791848,43.07880348089185,43.168228576903125,43.168228577003127,43.257476584849428,43.25747658494943,43.346507659793623,43.346507659893625,43.435454617859456,43.435454617959458,43.523985418737581,43.523985418837583,43.612224024143494,43.612224024243496,43.699966782687454,43.699966782787456,43.786784255569387,43.786784255669389,43.873561883614208,43.87356188371421,43.960184559514659,43.96018455961466,44.133018181331991,44.133018181431993,44.21888380532716,44.218883805427161,44.304634322015083,44.304634322115085,44.390181187313281,44.390181187413283,44.475559818854748,44.47555981895475,44.560889751150839,44.560889751250841,44.645958478403593,44.645958478503594,44.730863399103733,44.730863399203734,44.815445133902784,44.815445134002786,44.899663837963622,44.899663838063624,44.983563783327497,44.983563783427499,45.067153824402652,45.067153824502654,45.150504796455081,45.150504796555083,45.233594563464173,45.233594563564175,45.316427552634032,45.316427552734034,45.481668519377806,45.481668519477807,45.563779874275369,45.563779874375371,45.645846957131695,45.645846957231697,45.809799607475227,45.809799607575229,45.891512514001583,45.891512514101585,45.973167866874327,45.973167866974329,46.054774520501695,46.054774520601697,46.136221794780582,46.136221794880584,46.217478699282118,46.21747869938212,46.298593933251666,46.298593933351668,46.378558094148836,46.378558094248838,46.458154797103667,46.458154797203669,46.537468158994535,46.537468159094537,46.616715112823535,46.616715112923536,46.695820396120546,46.695820396220547,46.774801717702076,46.774801717802077,46.853721058425855,46.853721058525856,46.932551855067153,46.932551855167155,47.011316243646576,47.011316243746577,47.089899116856891,47.089899116956893,47.16844657243422,47.168446572534222,47.323956544512285,47.323956544612287,47.400905779400652,47.400905779500654,47.477434429897194,47.477434429997196,47.553701875350384,47.553701875450386,47.629916194354081,47.629916194454083,47.705997697234046,47.705997697334048,47.78158335325206,47.781583353352062,47.856894522614361,47.856894522714363,47.932059594240542,47.932059594340544,48.007136121784242,48.007136121884244,48.081836336977354,48.081836337077355,48.156226647881745,48.156226647981747,48.304586685298702,48.304586685398704,48.378481149341148,48.37848114944115,48.452256078872239,48.452256078972241,48.525911473891959,48.525911473991961,48.599460616012692,48.599460616112694,48.672748553090081,48.672748553190083,48.745837265981862,48.745837266081864,48.891833176396325,48.891833176496327,49.037554600155069,49.037554600255071,49.110280282308644,49.110280282408645,49.182527826416766,49.182527826516768,49.25449202946092,49.254492029560922,49.326257008319466,49.326257008419468,49.397796199767669,49.39779619986767,49.469299973582871,49.469299973682872,49.540693067294967,49.540693067394969,49.61182938316783,49.611829383267832,49.682828455712837,49.682828455812839,49.753747838583607,49.753747838683609,49.824485706085269,49.824485706185271,49.8950376310137,49.895037631113702,49.965492157451386,49.965492157551388,50.106286103019535,50.106286103119537,50.176603386129365,50.176603386229367,50.317180398695406,50.317180398795408,50.38737814729388,50.387378147393882,50.457425370952116,50.457425371052118,50.527122845484513,50.527122845584515,50.66642039605857,50.666420396158571,50.735985054467228,50.73598505456723,50.805142410096437,50.805142410196439,50.874180231214275,50.874180231314277,50.94319148910737,50.943191489207372,51.012149620550979,51.01214962065098,51.14984895043608,51.149848950536082,51.218253681364111,51.218253681464113,51.286406061657054,51.286406061757056,51.354496461092246,51.354496461192248,51.42235664591297,51.422356646012972,51.490039742568705,51.490039742668706,51.557656431162577,51.557656431262579,51.625034050733724,51.625034050833726,51.759691891385273,51.759691891485275,51.826923413220314,51.826923413320316,51.894026546135741,51.894026546235743,51.960846337987192,51.960846338087194,52.027555449735537,52.027555449835539,52.094180444605513,52.094180444705515,52.160278602184675,52.160278602284677,52.226146545149355,52.226146545249357,52.357802741404484,52.357802741504486,52.423458178571188,52.42345817867119,52.488732876183185,52.488732876283187,52.553888039283819,52.553888039383821,52.618746579708116,52.618746579808118,52.683476731212792,52.683476731312794,52.747843851979262,52.747843852079264,52.812011748560131,52.812011748660133,52.940197016781624,52.940197016881626,53.004174543585137,53.004174543685139,53.068019254264911,53.068019254364913,53.195589141113103,53.195589141213105,53.259185928361902,53.259185928461903,53.322499374546737,53.322499374646739,53.385471926013985,53.385471926113986,53.448386923827606,53.448386923927607,53.511226659171115,53.511226659271117,53.573818471083648,53.57381847118365,53.636215486014706,53.636215486114708,53.698315878269419,53.698315878369421,53.822445827512851,53.822445827612853,53.946252590855195,53.946252590955197,54.007865990656207,54.007865990756208,54.069364283149987,54.069364283249989,54.19210851750244,54.192108517602442,54.314489721116686,54.314489721216688,54.375593992443385,54.375593992543386,54.49772284542253,54.497722845522532,54.558477367623389,54.558477367723391,54.619187617782998,54.619187617883,54.679760624614751,54.679760624714753,54.740063571994902,54.740063572094904,54.860554359447981,54.860554359547983,54.920689073071401,54.920689073171403,54.980713106591715,54.980713106691717,55.040666304846027,55.040666304946029,55.160386758781435,55.160386758881437,55.279863716489992,55.279863716589993,55.339524719272092,55.339524719372093,55.399110459584072,55.399110459684074,55.518233240962672,55.518233241062674,55.577597621068428,55.577597621168429,55.636873457091696,55.636873457191697,55.696109448277838,55.69610944837784,55.814404342485147,55.814404342585149,55.932460167669731,55.932460167769733,55.991262292851673,55.991262292951674,56.049971446747001,56.049971446847003,56.108503512477341,56.108503512577343,56.166969170145819,56.166969170245821,56.225341856527685,56.225341856627686,56.283564017969312,56.283564018069313,56.341564819204713,56.341564819304715,56.399477076357627,56.399477076457629,56.457349488673415,56.457349488773417,56.515182056152092,56.515182056252094,56.572934933956518,56.572934934056519,56.630572704453712,56.630572704553714,56.745808400610969,56.74580840071097,56.860955552685745,56.860955552785747,56.918394098997332,56.918394099097334,57.033195929150388,57.03319592925039,57.147802962321968,57.14780296242197,57.20480321542523,57.204803215525232,57.261781332507866,57.261781332607868,57.318724031957508,57.31872403205751,57.3756401681824,57.375640168282402,57.432126865607216,57.432126865707218,57.545073697232098,57.5450736973321,57.657940839182743,57.657940839282745,57.714179613176583,57.714179613276585,57.770245726209566,57.770245726309568,57.882338107438414,57.882338107538416,57.93828911316416,57.938289113264162,57.994204701256912,57.994204701356914,58.049916637959939,58.049916638059941,58.10558872982584,58.105588729925842,58.161172277609253,58.161172277709255,58.216676135718423,58.216676135818425,58.272135721786348,58.27213572188635,58.327391656464542,58.327391656564544,58.382625455122117,58.382625455222119,58.437810554534323,58.437810554634325,58.548145335725735,58.548145335825737,58.658413708855278,58.65841370895528,58.713505836980872,58.713505837080874,58.76857582908584,58.768575829185842,58.823397897759833,58.823397897859834,58.932949063821205,58.932949063921207,59.042389549779458,59.042389549879459,59.09703010308435,59.097030103184352,59.151613102735617,59.151613102835618,59.206156257549765,59.206156257649766,59.260393935279325,59.260393935379327,59.31451650570164,59.314516505801642,59.368532823224974,59.368532823324976,59.422513723115308,59.42251372321531,59.584274907417203,59.584274907517205,59.691723151519426,59.691723151619428,59.745256903793177,59.745256903893178,59.852218155441705,59.852218155541706,59.905614664387599,59.905614664487601,59.958962474088125,59.958962474188127,60.012279293359782,60.012279293459784,60.065551840590196,60.065551840690198,60.118749125350483,60.118749125450485,60.278088628996265,60.278088629096267,60.330967155059589,60.330967155159591,60.383761564244551,60.383761564344553,60.542109374166444,60.542109374266445,60.594677995941048,60.59467799604105,60.647215627286791,60.647215627386792,60.699726695407783,60.699726695507785,60.751945568056556,60.751945568156557,60.85633904131285,60.856339041412852,60.960635116078414,60.960635116178416,61.012619346908586,61.012619347008588,61.064541596881014,61.064541596981016,61.116233632238973,61.116233632338975,61.167823841902063,61.167823842002065,61.270973270799374,61.270973270899376,61.322474936379969,61.322474936479971,61.425425141091672,61.425425141191674,61.476829408181537,61.476829408281539,61.528198257638401,61.528198257738403,61.579487417421021,61.579487417521023,61.630648188284034,61.630648188384036,61.681764687105797,61.681764687205799,61.783944558299837,61.783944558399838,61.885951768533019,61.885951768633021,61.936833625536181,61.936833625636183,62.038553067501269,62.038553067601271,62.140228237425113,62.140228237525115,62.190862170997306,62.190862171097308,62.24142084209938,62.241420842199382,62.342454067425166,62.342454067525168,62.392658562197283,62.392658562297285,62.442774512886906,62.442774512986908,62.492753220248666,62.492753220348668,62.542661092344439,62.54266109244444,62.64239714686174,62.642397146961741,62.692207620466768,62.692207620566769,62.741978249234677,62.741978249334679,62.791673615532474,62.791673615632476,62.84131585538077,62.841315855480772,62.890750016635216,62.890750016735218,62.940153187460794,62.940153187560796,62.989507659041003,62.989507659141005,63.03879129535521,63.038791295455212,63.087995241995181,63.087995242095182,63.137172625410408,63.137172625510409,63.186239328722522,63.186239328822523,63.284337317713742,63.284337317813744,63.333191515227881,63.333191515327883,63.381948314251275,63.381948314351277,63.479391077032069,63.479391077132071,63.576745295730376,63.576745295830378,63.625382560242407,63.625382560342409,63.673891435834825,63.673891435934827,63.770785225304181,63.770785225404182,63.867568334670423,63.867568334770425,63.915922258118485,63.915922258218487,64.012581405769239,64.012581405869241,64.060833503522446,64.060833503622447,64.108966066764282,64.108966066864284,64.157049930760735,64.157049930860737,64.205089522715966,64.205089522815967,64.253106978650564,64.253106978750566,64.301089016952162,64.301089017052163,64.348986938375404,64.348986938475406,64.396849442165646,64.396849442265648,64.444592411444518,64.444592411544519,64.492251263845034,64.492251263945036,64.730456981765101,64.730456981865103,64.825659579258883,64.825659579358884,64.920631962138202,64.920631962238204,65.062793913780823,65.062793913880824,65.110129580280244,65.110129580380246,65.157319149043559,65.157319149143561,65.25160531528357,65.251605315383571,65.345749810991592,65.345749811091594,65.439748208963508,65.439748209063509,65.580427047224404,65.580427047324406,65.627107487513399,65.627107487613401,65.720397532825388,65.720397532925389,65.766967293011277,65.766967293111279,65.860066968545908,65.86006696864591,65.952781477321707,65.952781477421709,65.998930653115764,65.998930653215766,66.045031129664437,66.045031129764439,66.091038634926505,66.091038635026507,66.182894266102153,66.182894266202155,66.274559527500443,66.274559527600445,66.320341245352154,66.320341245452155,66.411789573748351,66.411789573848353,66.457425193863955,66.457425193963957,66.503020969142426,66.503020969242428,66.594177102066396,66.594177102166398,66.639710896487145,66.639710896587147,66.685222554887261,66.685222554987263,66.776126337176137,66.776126337276139,66.821336945695776,66.821336945795778,66.866525418194811,66.866525418294813,66.911687327469082,66.911687327569084,66.956756265456747,66.956756265556749,67.046810024553722,67.046810024653723,67.091639893518661,67.091639893618662,67.136416636034099,67.136416636134101,67.181166815324801,67.181166815424803,67.225868295370134,67.225868295470136,67.315209274603049,67.315209274703051,67.359808928953512,67.359808929053514,67.404346602446239,67.404346602546241,67.493382104594559,67.493382104694561,67.537844515617167,67.537844515717168,67.626720638416998,67.626720638517,67.715503789930224,67.715503790030226,67.84851471064745,67.848514710747452,67.937094210770951,67.937094210870953,68.025576312403714,68.025576312503716,68.069728819137595,68.069728819237596,68.157989560564133,68.157989560664134,68.2461130586628,68.246113058762802,68.334108167841862,68.334108167941864,68.37803045996128,68.378030460061282,68.421930616060067,68.421930616160068,68.465808636138235,68.465808636238236,68.509655665787534,68.509655665887536,68.553458423395583,68.553458423495584,68.728567628132922,68.728567628232923,68.859736831934342,68.859736832034343,68.903411200622784,68.903411200722786,69.03431919938086,69.034319199480862,69.121442149347388,69.12144214944739,69.208405719965441,69.208405720065443,69.251796747589907,69.251796747689909,69.338534530797602,69.338534530897604,69.381810451114831,69.381810451214832,69.468304738095682,69.468304738195684,69.641125078300632,69.641125078400634,69.727406859483509,69.72740685958351,69.770346312287273,69.770346312387275,69.81326362907042,69.813263629170422,69.856158809832948,69.85615880993295,69.94183849125487,69.941838491354872,70.02734551171595,70.027345511815952,70.112653307991422,70.112653308091424,70.19774859846892,70.197748598568921,70.240258612472616,70.240258612572617,70.28268893680206,70.282688936902062,70.325092697906754,70.325092698006756,70.367430050949594,70.367430051049595,70.452016212952771,70.452016213052772,70.494172050626503,70.494172050726505,70.620520029136316,70.620520029236317,70.662507633053309,70.662507633153311,70.704388984071315,70.704388984171317,70.746181791006833,70.746181791106835,70.787948034717601,70.787948034817603,70.829661151978883,70.829661152078884,70.871281297953544,70.871281298053546,70.912852744682823,70.912852744782825,70.95432236571726,70.954322365817262,71.037150927682987,71.037150927782989,71.078505441410186,71.078505441510188,71.161170196823306,71.161170196923308,71.202449448080387,71.202449448180388,71.243688854500334,71.243688854600336,71.284875134470795,71.284875134570797,71.325986151971136,71.325986152071138,71.367052897430227,71.367052897530229,71.408070943643949,71.408070943743951,71.449035863408184,71.449035863508186,71.48991666629405,71.489916666394052,71.530735488322165,71.530735488422167,71.571501183900793,71.571501184000795,71.652979448608548,71.65297944870855,71.693576910430451,71.693576910530453,71.73413895461934,71.734138954719342,71.815236479772395,71.815236479872397,71.896258742455331,71.896258742555332,71.936714533745231,71.936714533845233,72.017590698692061,72.017590698792063,72.057993363532475,72.057993363632477,72.09832962031102,72.098329620411022,72.178944580214491,72.178944580314493,72.219139166461062,72.219139166561064,72.259311616687,72.259311616787002,72.339629953914127,72.339629954014129,72.37970943285346,72.379709432953462,72.459837400303243,72.459837400403245,72.539770570771537,72.539770570871539,72.619389409747001,72.619389409847003,72.817980505160818,72.81798050526082,72.857639399708304,72.857639399808306,72.936917343966172,72.936917344066174,72.976483267227053,72.976483267327055,73.016004918446697,73.016004918546699,73.094999521640588,73.09499952174059,73.134454764798363,73.134454764898365,73.21332540627678,73.213325406376782,73.252568143636566,73.252568143736568,73.33100049190665,73.331000492006652,73.448542761412796,73.448542761512797,73.487683673077711,73.487683673177713,73.565845961896201,73.565845961996203,73.604827494212643,73.604827494312644,73.682702014763038,73.68270201486304,73.721559585364005,73.721559585464007,73.799217172912293,73.799217173012295,73.876790643582225,73.876790643682227,73.915541961284191,73.915541961384193,73.992916207768516,73.992916207868518,74.031494864509625,74.031494864609627,74.070042530821866,74.070042530921867,74.108483944235118,74.10848394433512,74.146885512811238,74.14688551291124,74.223639950718137,74.223639950818139,74.261868858333415,74.261868858433417,74.300057921111559,74.300057921211561,74.33821599346085,74.338215993560851,74.414487866118165,74.414487866218167,74.490418844057885,74.490418844157887,74.565986791259405,74.565986791359407,74.641448485561938,74.64144848566194,74.716795072557233,74.716795072657234,74.754408598799188,74.75440859889919,74.867182769463213,74.867182769563215,74.942285860231664,74.942285860331666,74.979801987982881,74.979801988082883,75.017247280468112,75.017247280568114,75.092098020601469,75.092098020701471,75.166908915897693,75.166908915997695,75.204230246667436,75.204230246767438,75.278846344982185,75.278846345082187,75.31607027726119,75.316070277361192,75.390429597736713,75.390429597836714,75.427511859483729,75.427511859583731,75.464487868331759,75.46448786843176,75.501406323526183,75.501406323626185,75.538298215495843,75.538298215595844,75.612024445781557,75.612024445881559,75.685662131984785,75.685662132084786,75.72242120783072,75.722421207930722,75.795872951460709,75.79587295156071,75.832494783978774,75.832494784078776,75.905676468157182,75.905676468257184,75.97875632664072,75.978756326740722,76.01524091583093,76.015240915930931,76.08817024937423,76.088170249474231,76.124526449644819,76.12452644974482,76.233528642394759,76.233528642494761,76.269734317725124,76.269734317825126,76.30589129381012,76.305891293910122,76.342021706670366,76.342021706770367,76.378072429856374,76.378072429956376,76.450103040962389,76.450103041062391,76.522014117557063,76.522014117657065,76.593854358885721,76.593854358985723,76.665623764948393,76.665623765048394,76.737313481336827,76.737313481436829,76.808914653642773,76.808914653742775,76.844659899744187,76.844659899844189,76.916030857435658,76.916030857535659,77.022850438552197,77.022850438652199,77.058361042835017,77.058361042935019,77.164830874825711,77.164830874925713,77.200279498250794,77.200279498350795,77.235568742327374,77.235568742427375,77.270822568770967,77.270822568870969,77.306045404785692,77.306045404885694,77.341197405534416,77.341197405634418,77.376327270262522,77.376327270362523,77.411417290153508,77.41141729025351,77.446480746819745,77.446480746919747,77.516567815315113,77.516567815415115,77.551525019082362,77.551525019182364,77.586460086828978,77.58646008692898,77.691216590823501,77.691216590923503,77.726040978467012,77.726040978567013,77.795636627304546,77.795636627404548,77.865148159263711,77.865148159363713,77.934602137569257,77.934602137669259,78.073288733974124,78.073288734074126,78.177053544244743,78.177053544344744,78.21155031878304,78.211550318883042,78.246011675688351,78.246011675788353,78.280419906144161,78.280419906244163,78.383573762245589,78.383573762345591,78.452208707788103,78.452208707888104,78.486492976528424,78.486492976628426,78.589292656299889,78.589292656399891,78.623501662570106,78.623501662670108,78.657657542390808,78.65765754249081,78.691791286190906,78.691791286290908,78.725902893970371,78.725902894070373,78.759983511320954,78.759983511420955,78.7940375654468,78.794037565546802,78.828016357102541,78.828016357202543,78.8619641583294,78.861964158429402,78.929793352721248,78.92979335282125,78.997538430234727,78.997538430334728,79.099058648014207,79.099058648114209,79.2004903217112,79.200490321811202,79.267983048589585,79.267983048689587,79.301674071977217,79.301674072077219,79.335334104935981,79.335334105035983,79.368958720261745,79.368958720361746,79.436110552422548,79.43611055252255,79.53661694045752,79.536616940557522,79.603423450696596,79.603423450796598,79.670145844057316,79.670145844157318,79.736788547743785,79.736788547843787,79.80330728971478,79.803307289814782,79.836515747852843,79.836515747952845,79.869631234704286,79.869631234804288,79.968928996013261,79.968928996113263,80.03505371681716,80.035053716917162,80.101116456763322,80.101116456863323,80.167121643055864,80.167121643155866,80.299021335537844,80.299021335637846,80.331928743795444,80.331928743895446,80.496403804225665,80.496403804325666,80.562112367841863,80.562112367941864,80.594922377608725,80.594922377708727,80.627696969742587,80.627696969842589,80.660444998651698,80.6604449987517,80.725892357224552,80.725892357324554,80.758573978071794,80.758573978171796,80.791233462898418,80.79123346299842,80.856490451693915,80.856490451793917,80.88907467405042,80.889074674150422,80.954198846722178,80.95419884682218,81.0192256209032,81.019225621003201,81.051694735952466,81.051694736052468,81.116584266805631,81.116584266905633,81.148951556160043,81.148951556260045,81.213628581215218,81.21362858131522,81.27821706218792,81.278217062287922,81.342770125527622,81.342770125627624,81.375004598758281,81.375004598858283,81.471637183184299,81.471637183284301,81.535964459113643,81.535964459213645,81.568057261812328,81.56805726191233,81.600079229245011,81.600079229345013,81.632074633452959,81.632074633552961,81.696034451439971,81.696034451539973,81.727976729198417,81.727976729298419,81.759883589323863,81.759883589423865,81.791746177408072,81.791746177508074,81.85535181906512,81.855351819165122,81.918789226965444,81.918789227065446,81.982142517987398,81.9821425180874,82.045420546539233,82.045420546639235,82.077030783988349,82.07703078408835,82.140193705232946,82.140193705332948,82.203285791211542,82.203285791311544,82.266276051495296,82.266276051595298,82.329177767696535,82.329177767796537,82.423415234691177,82.423415234791179,82.486126581115073,82.486126581215075,82.548749383456482,82.548749383556483,82.580018726188001,82.580018726288003,82.611248224082402,82.611248224182404,82.642455585956185,82.642455586056187,82.704839319274868,82.704839319374869,82.767161071735799,82.767161071835801,82.798297598343595,82.798297598443597,82.860526379517907,82.860526379617909,82.95373230795154,82.953732308051542,83.046703594566566,83.046703594666567,83.07764089698874,83.077640897088742,83.201341407432096,83.201341407532098,83.293998362554277,83.293998362654278,83.355629471171795,83.355629471271797,83.447994230821763,83.447994230921765,83.509452678478411,83.509452678578413,83.693708486937027,83.693708487037028,83.724389011519989,83.724389011619991,83.785661516603412,83.785661516703414,83.816240215491504,83.816240215591506,83.907940894522795,83.907940894622797,83.999584019900453,83.999584020000455,84.060608601552914,84.060608601652916,84.091081047542019,84.091081047642021,84.151981667478978,84.15198166757898,84.2128380153747,84.212838015474702,84.30406055636054,84.304060556460541,84.334431176654789,84.334431176754791,84.455829540953388,84.45582954105339,84.546751032058751,84.546751032158753,84.607310757278142,84.607310757378144,84.667817356048019,84.667817356148021,84.698033024197898,84.698033024297899,84.72820442030654,84.728204420406541,84.848828023883343,84.848828023983344,84.878950720746616,84.878950720846618,84.969270112091053,84.969270112191055,85.029409252918597,85.029409253018599,85.149506019204594,85.149506019304596,85.269186628302876,85.269186628402878,85.299039265714555,85.299039265814557,85.35867813247603,85.358678132576031,85.388428944192839,85.388428944292841,85.447890722789325,85.447890722889326,85.477526427198896,85.477526427298898,85.536713719139669,85.536713719239671,85.625346345712671,85.625346345812673,85.654853661202623,85.654853661302624,85.713784175304184,85.713784175404186,85.743185237895148,85.743185237995149,85.801951945444088,85.80195194554409,85.890017889889151,85.890017889989153,85.919339262805877,85.919339262905879,85.977942163802211,85.977942163902213,86.007214837473569,86.007214837573571,86.094988586446405,86.094988586546407,86.124185997647643,86.124185997747645,86.182514411988265,86.182514412088267,86.240767563858768,86.240767563958769,86.328058747582034,86.328058747682036,86.386196792145284,86.386196792245286,86.473333023724194,86.473333023824196,86.502331210739825,86.502331210839827,86.531289552918352,86.531289553018354,86.560194768647378,86.56019476874738,86.646826298956086,86.646826299056087,86.704472923861516,86.704472923961518,86.762048713500974,86.762048713600976,86.819566949486799,86.8195669495868,86.905773468199541,86.905773468299543,86.963194305694643,86.963194305794644,87.020562016740229,87.020562016840231,87.106507330409642,87.106507330509643,87.192346391180052,87.192346391280054,87.249506023631795,87.249506023731797,87.278048208622607,87.278048208722609,87.363626064349674,87.363626064449676,87.506097920281022,87.506097920381023,87.534560415597582,87.534560415697584,87.648348416006129,87.648348416106131,87.705176008148541,87.705176008248543,87.790324425075525,87.790324425175527,87.847045764318935,87.847045764418937,87.932056937918063,87.932056938018064,87.988645461037748,87.98864546113775,88.07341756561415,88.073417565714152,88.101645419112131,88.101645419212133,88.158034718046196,88.158034718146197,88.186165173053439,88.186165173153441,88.214251356019417,88.214251356119419,88.270339605073033,88.270339605173035,88.354332521723521,88.354332521823522,88.43821033106677,88.438210331166772,88.549961817578023,88.549961817678025,88.605775579975912,88.605775580075914,88.661531788720183,88.661531788820184,88.717186171769583,88.717186171869585,88.744975732059231,88.744975732159233,88.800519435005526,88.800519435105528,88.939214885818643,88.939214885918645,88.9946080638247,88.994608063924701,89.049934833768887,89.049934833868889,89.105195195651206,89.105195195751207,89.132776677346996,89.132776677446998,89.160318314205668,89.16031831430567,89.187837815043721,89.187837815143723,89.215335179861142,89.215335179961144,89.270298919067116,89.270298919167118,89.2977343030268,89.297734303126802,89.407413858007786,89.407413858107788,89.544351708783466,89.544351708883468,89.571671985435913,89.571671985535914,89.598961271659491,89.598961271759492,89.626148732188199,89.6261487322882,89.653300775083906,89.653300775183908,89.816124488375692,89.816124488475694,89.843196841597162,89.843196841697164,89.924356347607954,89.924356347707956,90.032473099532979,90.032473099632981,90.059456908671962,90.059456908771963,90.113389109316927,90.113389109416929,90.167285892328891,90.167285892428893,90.194194438997755,90.194194439097757,90.221076422441868,90.22107642254187,90.247922988252995,90.247922988352997,90.274738563635239,90.274738563735241,90.355096745699498,90.3550967457995,90.435255703578136,90.435255703678138,90.51531726296605,90.515317263066052,90.621955328713483,90.621955328813485,90.675205739923271,90.675205740023273,90.728394170275322,90.728394170375324,90.754957395022473,90.754957395122474,90.834554097977303,90.834554098077305,90.861033205846084,90.861033205946086,90.940412975798822,90.940412975898823,90.993251657025027,90.993251657125029,91.01963336640307,91.019633366503072,91.07236136752617,91.072361367626172,91.204101680659662,91.204101680759663,91.283056439016434,91.283056439116436,91.335633915199296,91.335633915299297,91.38813170170792,91.388131701807922,91.440540944134042,91.440540944234044,91.492888205702428,91.49288820580243,91.597418922286579,91.597418922386581,91.675687464004056,91.675687464104058,91.727795656549716,91.727795656649718,91.779841868237639,91.779841868337641,91.831830526271943,91.831830526371945,91.883766057856747,91.883766057956748,91.961587451957641,91.961587452057643,91.987482168881982,91.987482168981984,92.013354749785705,92.013354749885707,92.09091493884327,92.090914938943271,92.116725538889241,92.116725538989243,92.194121921394199,92.194121921494201,92.322962415826126,92.322962415926128,92.451625822093064,92.451625822193066,92.554443210681043,92.554443210781045,92.580094431378541,92.580094431478543,92.631357027936417,92.631357028036419,92.682579779657161,92.682579779757162,92.733731696111931,92.733731696211933,92.81033118187446,92.810331181974462,92.912307401678774,92.912307401778776,92.963131705028317,92.963131705128319,93.013876318703623,93.013876318803625,93.089909122338213,93.089909122438215,93.115223875522247,93.115223875622249,93.140516492685663,93.140516492785665,93.191070736583612,93.191070736683614,93.241567426827942,93.241567426927944,93.292010990622785,93.292010990722787,93.39281842853822,93.392818428638222,93.443124749005193,93.443124749105195,93.493355807002061,93.493355807102063,93.543520456937046,93.543520457037047,93.618681101359115,93.618681101459117,93.693704502453315,93.693704502553317,93.768634932260895,93.768634932360897,93.818516241131917,93.818516241231919,93.893274009978654,93.893274010078656,93.992850685147474,93.992850685247475,94.067449074645722,94.067449074745724,94.166817671220684,94.166817671320686,94.241256681370444,94.241256681470446,94.266035742855408,94.26603574295541,94.414621567682715,94.414621567782717,94.56299045950793,94.562990459607931,94.661708257076583,94.661708257176585,94.710974184574297,94.710974184674299,94.735567303486036,94.735567303586038,94.833882225479371,94.833882225579373,94.932082040165454,94.932082040265456,94.981117753048693,94.981117753148695,95.103618491174302,95.103618491274304,95.177025962763054,95.177025962863055,95.250362599085804,95.250362599185806,95.348070994114082,95.348070994214083,95.421279241517226,95.421279241617228,95.518779557951632,95.518779558051634,95.567443385688421,95.567443385788422,95.591731027515564,95.591731027615566,95.640253184720351,95.640253184820352,95.73719124623095,95.737191246330951,95.834031909250811,95.834031909350813,95.979089252390878,95.97908925249088,96.075704128000382,96.075704128100384,96.148071206619875,96.148071206719877,96.244407168369534,96.244407168469536,96.268455741173966,96.268455741273968,96.316517469149801,96.316517469249803,96.34049963389235,96.340499633992351,96.36445966261428,96.364459662714282,96.41234430242514,96.412344302525142,96.460180242990646,96.460180243090647,96.484073863650707,96.484073863750709,96.507896649044767,96.507896649144769,96.626930886340872,96.626930886440874,96.722049366956298,96.7220493670563,96.793291935728149,96.793291935828151,96.840733855126558,96.84073385522656,96.911817044549935,96.911817044649936,96.982807262686691,96.982807262786693,97.006430823895158,97.00643082399516,97.077266089887559,97.07726608998756,97.124411386609623,97.124411386709625,97.195087273253549,97.19508727335355,97.218591299950646,97.218591300050647,97.265577217324235,97.265577217424237,97.312496726635956,97.312496726735958,97.382787446521036,97.382787446621037,97.406171938706777,97.406171938806779,97.499621363367254,97.499621363467256,97.569602178963621,97.569602179063622,97.662781544172489,97.662781544272491,97.70931145952126,97.709311459621262,97.73254099956263,97.732540999662632,97.802198629257916,97.802198629357918,97.871772142074818,97.871772142174819,97.894935274054333,97.894935274154335,97.941221693176246,97.941221693276248,97.964336125910393,97.964336126010394,98.010538428153936,98.010538428253938,98.125924649251431,98.125924649351433,98.218143311165292,98.218143311265294,98.264181806856229,98.264181806956231,98.356156972543232,98.356156972643234,98.425084113557958,98.42508411365796,98.448017030922998,98.448017031022999,98.493834166407709,98.49383416650771,98.539571612218182,98.539571612318184,98.585260358783273,98.585260358883275,98.608069314432825,98.608069314532827,98.65365623530306,98.653656235403062,98.744714969736293,98.744714969836295,98.790173501686922,98.790173501786924,98.812858495620986,98.812858495720988,98.858170929835495,98.858170929935497,98.948671836549039,98.948671836649041,98.993873590660442,98.993873590760444,99.061587677745052,99.061587677845054,99.151760971353383,99.151760971453385,99.264304927402932,99.264304927502934,99.309214486042109,99.30921448614211,99.398843233543118,99.39884323364312,99.465981784091539,99.465981784191541,99.510683264136873,99.510683264236874,99.600024243369788,99.60002424346979,99.666941433711983,99.666941433811985,99.756052198330423,99.756052198430424,99.778294471852035,99.778294471952037,99.82274360126226,99.822743601362262,99.844923893926136,99.844923894026138,99.911411645468249,99.911411645568251,100.0],[0.0,1e-10,1.2490583852219697,1.2490583853219697,2.3445913411500778,2.3445913412500778,3.3706470690349932,3.3706470691349932,4.2250323821223974,4.2250323822223974,4.9348469340865728,4.9348469341865728,5.5820966334375166,5.5820966335375166,6.1794672600836238,6.1794672601836238,6.7527231224456612,6.7527231225456612,7.3138430529448684,7.3138430530448684,7.8656548415298655,7.8656548416298655,8.4130285708899439,8.4130285709899439,8.9519974801249571,8.9519974802249571,9.462806314454955,9.462806314554955,9.9681559431897,9.9681559432897,10.471384729462979,10.471384729562979,10.942447405070698,10.942447405170698,11.411781986820928,11.411781986920928,11.879977597619629,11.879977597719629,12.344795570424145,12.344795570524145,12.80772834992958,12.80772835002958,13.265673222164532,13.265673222264532,13.723225345795509,13.723225345895509,14.178224603500647,14.178224603600647,14.620380981855799,14.620380981955799,15.062026787025786,15.062026787125786,15.501198275990728,15.501198276090728,15.930158301252318,15.930158301352318,16.358764852770332,16.35876485287033,16.781951473553487,16.781951473653486,17.20407767310591,17.204077673205909,17.620430468179901,17.620430468279899,18.036154865487532,18.03615486558753,18.445830934293944,18.445830934393943,18.855074979635983,18.855074979735981,19.263415703188883,19.263415703288882,19.670263982046677,19.670263982146675,20.076405313417315,20.076405313517313,20.475712819078783,20.475712819178781,20.867793750427115,20.867793750527113,21.256065020316885,21.256065020416884,21.632239633204225,21.632239633304224,22.004840233795388,22.004840233895386,22.376576787457807,22.376576787557806,22.747842042795458,22.747842042895456,23.117614853438003,23.117614853538001,23.487034190336971,23.487034190436969,23.852722415498175,23.852722415598173,24.216093423895924,24.216093423995922,24.576833016647043,24.576833016747042,24.929914011620646,24.929914011720644,25.282602257990273,25.282602258090272,25.634937030616324,25.634937030716323,25.985740083686874,25.985740083786872,26.682201183115893,26.682201183215891,27.025777661873303,27.025777661973301,27.368332994260371,27.368332994360369,27.710417028322674,27.710417028422672,28.391364557894679,28.391364557994677,28.728971257871663,28.728971257971661,29.063985817062413,29.063985817162411,29.398097054464021,29.398097054564019,29.730755122030917,29.730755122130915,30.062941891273049,30.062941891373047,30.394853736492394,30.394853736592392,30.725783710201803,30.725783710301801,31.052589823569473,31.052589823669472,31.379003188333169,31.379003188433167,32.031044420652606,32.031044420752607,32.355651141838017,32.355651141938019,32.679118892071898,32.6791188921719,33.001172747331466,33.001172747431468,33.322087631639512,33.322087631739514,33.641156597508875,33.641156597608877,34.278430482318853,34.278430482418855,34.596321202376288,34.59632120247629,34.913976273271338,34.91397627337134,35.547951069807922,35.547951069907924,35.86419224572866,35.864192245828661,36.178587503210721,36.178587503310723,36.492629286949203,36.492629287049205,36.806042672921322,36.806042673021324,37.116510444363627,37.116510444463628,37.42666401692275,37.426664017022752,37.735992817413532,37.735992817513534,38.044693220137951,38.044693220237953,38.352804499956406,38.352804500056408,38.659305510498562,38.659305510598564,38.964628275228797,38.964628275328799,39.269361917053068,39.26936191715307,39.573035137646606,39.573035137746608,40.483622775962843,40.483622776062845,40.786431949627634,40.786431949727636,41.08900547413004,41.089005474230042,41.391146975168077,41.391146975268079,41.692817177881338,41.69281717798134,41.993230585061887,41.993230585161889,42.293329793359248,42.29332979345925,42.591936556961507,42.591936557061508,42.889797098216214,42.889797098316215,43.186950691983768,43.186950692083769,43.483554437705749,43.483554437805751,43.77850863929104,43.778508639391042,44.368063568718043,44.368063568818044,44.662232273095384,44.662232273195386,45.250255482966885,45.250255483066887,45.543952889019458,45.54395288911946,45.836118575516522,45.836118575616524,46.711437389195801,46.711437389295803,47.00226773043935,47.002267730539351,47.291959100731376,47.291959100831377,47.580825698955053,47.580825699055055,47.86926027371436,47.869260273814362,48.156830801544913,48.156830801644915,48.443144533842755,48.443144533942757,48.727769447143501,48.727769447243503,49.011923062119479,49.011923062219481,49.295880302793464,49.295880302893465,49.579484069723875,49.579484069823877,49.860534970728445,49.860534970828446,50.141193123129042,50.141193123229044,50.421576351506857,50.421576351606859,50.700467135189569,50.700467135289571,50.979161544570289,50.979161544670291,51.257070456743058,51.25707045684306,51.534429520870269,51.534429520970271,51.810217590581573,51.810217590681575,52.361008232796237,52.361008232896239,52.635971530439193,52.635971530539194,52.910149330874205,52.910149330974207,53.184012932426029,53.184012932526031,53.456069890399576,53.456069890499577,53.727891199210731,53.727891199310733,53.999044835395132,53.999044835495134,54.269884272696352,54.269884272796354,54.5403309613936,54.540330961493602,54.809952878022493,54.809952878122495,55.079182046047414,55.079182046147416,55.348057740328763,55.348057740428764,55.615990837960567,55.615990838060569,55.882784964640841,55.882784964740843,56.149147067856745,56.149147067956747,56.415037872747881,56.415037872847883,56.680653753616234,56.680653753716236,56.945601961857825,56.945601961957827,57.20996104719346,57.209961047293461,57.47373100962313,57.473731009723132,57.736951124007227,57.736951124107229,57.999385741183382,57.999385741283383,58.260956311430789,58.260956311530791,58.521780659330645,58.521780659430647,58.781230387116587,58.781230387216588,59.039619693671796,59.039619693771797,59.297419877321047,59.297419877421049,59.812391846853181,59.812391846953183,60.069013784690505,60.069013784790506,60.581275788855208,60.58127578895521,60.836640931159813,60.836640931259815,61.601636661982482,61.601636662082484,61.855745008754369,61.85574500885437,62.109342782341081,62.109342782441082,62.361801584976263,62.361801585076265,62.613631989845089,62.613631989945091,63.116468027514394,63.116468027614395,63.367198736292089,63.367198736392091,63.617575971326211,63.617575971426213,63.86775683205834,63.867756832158342,64.117191470442918,64.11719147054292,64.365840611619547,64.365840611719548,64.862274847044063,64.862274847144064,65.357452286935853,65.357452287035855,65.851804954759288,65.85180495485929,66.097901230010081,66.097901230110082,66.343722581238083,66.343722581338085,67.080715336597336,67.080715336697338,67.325436991734207,67.325436991834209,67.569451699383933,67.569451699483935,67.812955833848491,67.812955833948493,68.299414254732028,68.29941425483203,68.542132891988629,68.542132892088631,69.027216692758259,69.027216692858261,69.753880159832974,69.753880159932976,69.995145627254871,69.995145627354873,70.235939796352,70.235939796452001,70.957693905877008,70.95769390597701,71.437632699934568,71.43763270003457,71.677012974057391,71.677012974157392,72.394564673519866,72.394564673619868,72.633355824736725,72.633355824836727,72.871440028466424,72.871440028566425,73.34737278676343,73.347372786863431,73.584435844122794,73.584435844222796,73.820595579693006,73.820595579793007,74.292208103346297,74.292208103446299,74.997506046364762,74.997506046464764,75.465505282861471,75.465505282961473,75.932051349523476,75.932051349623478,76.164911996820308,76.16491199692031,76.397536994954748,76.39753699505475,76.862354967759273,76.862354967859275,77.326544542797421,77.326544542897423,77.556145376681258,77.556145376781259,77.785196362519528,77.78519636261953,78.013540400870639,78.013540400970641,78.241373866036596,78.241373866136598,78.467950535669814,78.467950535769816,78.920868225773887,78.920868225873889,79.372843319228423,79.372843319328425,79.823679441731429,79.82367944183143,80.048645842088348,80.04864584218835,80.49802879475665,80.498028794856651,80.946586975356595,80.946586975456597,81.170335855041202,81.170335855141204,81.393731260982236,81.393731261082237,81.840207873981115,81.840207874081116,82.063053431876583,82.063053431976584,82.50815542476154,82.508155424861542,82.952275546136576,82.952275546236578,83.395335246280865,83.395335246380867,83.616059961714868,83.616059961814869,84.05660607079372,84.056606070893721,84.276073990694996,84.276073990794998,84.494913512829925,84.494913512929926,85.150018184260361,85.150018184360363,85.367404536560571,85.367404536660572,85.58392684193204,85.583926842032042,86.016028856025429,86.01602885612543,86.231097991562194,86.231097991662196,86.659665268219811,86.659665268319813,87.086504451019934,87.086504451119936,87.512440312030904,87.512440312130906,87.937433576392351,87.937433576492353,88.573607765111205,88.573607765211207,88.784827964328997,88.784827964428999,89.20695416388142,89.206954163981422,89.417545965332863,89.417545965432865,89.627745018180335,89.627745018280336,89.837080024099052,89.837080024199054,90.045708082530624,90.045708082630625,90.462650000510578,90.46265000061058,90.670767485756969,90.67076748585697,91.086727532226988,91.086727532326989,91.50190208148905,91.501902081589051,91.916016209520379,91.916016209620381,92.122759074652876,92.122759074752878,92.535498582570284,92.535498582670286,92.741455950494824,92.741455950594826,92.947216944117372,92.947216944217374,93.358110533596104,93.358110533696106,93.768297175587691,93.768297175687692,94.177816144952516,94.177816145052518,94.382123968740359,94.382123968840361,94.58596049420342,94.585960494303421,94.993397895967178,94.993397896067179,95.80740865256594,95.807408652665941,96.009634908752716,96.009634908852718,96.413655397661884,96.413655397761886,96.615096156640718,96.615096156740719,96.816261991596747,96.816261991696749,97.619786360469377,97.619786360569378,97.819734674753093,97.819734674853095,98.019486614734831,98.019486614834832,98.218570882089793,98.218570882189795,98.616346668195774,98.616346668295776,99.211400078078427,99.211400078178428,99.803507873431258,99.80350787353126,100.0],[0.0,1e-10,3.2549798156807195,3.2549798157807195,5.0226030697135924,5.0226030698135924,6.3984040621010889,6.3984040622010889,7.6644974455502322,7.6644974456502322,8.8714670333719763,8.8714670334719763,10.067075492350209,10.067075492450209,11.222269387126692,11.222269387226692,12.373690818523954,12.373690818623954,13.417110450510856,13.417110450610856,14.4599505446453,14.459950544745301,15.477389385359649,15.477389385459649,16.493220828634158,16.493220828734156,17.44642937981358,17.446429379913578,18.387084922415191,18.387084922515189,19.327357751340646,19.327357751440644,20.263595684651804,20.263595684751802,21.198783889022657,21.198783889122655,22.125563327194605,22.125563327294604,23.027947502180922,23.02794750228092,23.915416778473734,23.915416778573732,24.785959175604123,24.785959175704122,25.632904540930571,25.63290454103057,26.476864739583025,26.476864739683023,27.301514299604449,27.301514299704447,28.122664763158188,28.122664763258186,28.928211443401349,28.928211443501347,29.676121444015877,29.676121444115875,30.417809613723808,30.417809613823806,31.143762784003616,31.143762784103615,31.862028876730985,31.862028876830983,32.575133802168523,32.575133802268525,33.284192897315293,33.284192897415295,33.984219949704865,33.984219949804867,34.681382116861514,34.681382116961515,35.345335671604545,35.345335671704547,35.994669563918542,35.994669564018544,36.622888595985359,36.62288859608536,37.242961294088339,37.242961294188341,37.858386754695189,37.858386754795191,38.464124091957132,38.464124092057133,39.061627617843556,39.061627617943557,39.65372941355799,39.653729413657992,40.243983248950435,40.243983249050437,40.829032178347198,40.8290321784472,41.404447657781368,41.40444765788137,41.976703015718158,41.97670301581816,42.535913304636367,42.535913304736368,43.092072818821812,43.092072818921814,43.648177659624956,43.648177659724958,44.200225735460869,44.200225735560871,44.735139173281603,44.735139173381604,45.261632910226965,45.261632910326966,45.775901678888353,45.775901678988355,46.288409964639442,46.288409964739444,46.793646690543625,46.793646690643627,47.297035456125812,47.297035456225814,47.792901164302478,47.79290116440248,48.28558488162885,48.285584881728852,48.772998084900763,48.772998085000765,49.259197539085456,49.259197539185458,49.742805474948767,49.742805475048769,50.218442031671636,50.218442031771637,50.693903633571118,50.69390363367112,51.165417817268001,51.165417817368002,51.62039877015507,51.620398770255072,52.072558576515071,52.072558576615073,52.516145596529249,52.516145596629251,52.956823992604662,52.956823992704663,53.396562006504382,53.396562006604384,53.829454912939198,53.8294549130392,54.255743274791264,54.255743274891266,54.675372418678265,54.675372418778267,55.094236135212959,55.094236135312961,55.507140453076133,55.507140453176135,55.919443363733919,55.919443363833921,56.320603839077428,56.32060383917743,56.711245155664962,56.711245155764963,57.101569366635111,57.101569366735113,57.491357778458642,57.491357778558644,57.871720499172355,57.871720499272357,58.249940023299608,58.24994002339961,58.615967383172276,58.615967383272277,58.979097053782645,58.979097053882647,59.338990060160405,59.338990060260407,59.696444633687243,59.696444633787245,60.053221257273471,60.053221257373472,60.409407408330779,60.409407408430781,60.763964292595318,60.76396429269532,61.113206924099565,61.113206924199567,61.461738801633814,61.461738801733816,61.805656245701307,61.805656245801309,62.147353950447105,62.147353950547107,62.488679876193217,62.488679876293219,62.829207570557642,62.829207570657644,63.169166661746061,63.169166661846063,63.507660506288644,63.507660506388646,63.839418590130933,63.839418590230935,64.168552351622452,64.168552351722454,64.490184925061385,64.490184925161387,64.810745900207081,64.810745900307083,65.128682553002022,65.128682553102024,65.445995929238649,65.44599592933865,65.762270511211426,65.762270511311428,66.076686198185769,66.076686198285771,66.385612677576418,66.38561267767642,66.693762794938294,66.693762795038296,67.000043082625254,67.000043082725256,67.306039068724218,67.306039068824219,67.916729814423235,67.916729814523237,68.214174883529296,68.214174883629298,68.510209379371815,68.510209379471817,68.806079855067424,68.806079855167425,69.101337988881184,69.101337988981186,69.393392262491716,69.393392262591718,69.680055740606733,69.680055740706734,69.966325570369122,69.966325570469124,70.251414455073686,70.251414455173688,70.536197168837305,70.536197168937306,70.814473750106345,70.814473750206346,71.088070289849838,71.08807028994984,71.360693643388274,71.360693643488275,71.630528654429014,71.630528654529016,71.898701594647605,71.898701594747607,72.164775076985592,72.164775077085594,72.422625682624513,72.422625682724515,72.676430457972685,72.676430458072687,72.928398207675315,72.928398207775317,73.177840047115339,73.177840047215341,73.419802567855683,73.419802567955685,73.899725517751463,73.899725517851465,74.133672920645523,74.133672920745525,74.362404482867433,74.362404482967435,74.585089169006139,74.585089169106141,74.807467684203914,74.807467684303916,75.029682179254777,75.029682179354779,75.250868814718245,75.250868814818247,75.469452997183879,75.469452997283881,75.684855188799219,75.68485518889922,75.898846807151017,75.898846807251019,76.112455711826655,76.112455711926657,76.325856857649541,76.325856857749542,76.534884132887811,76.534884132987813,76.743572433155776,76.743572433255778,76.950642401307434,76.950642401407436,77.154180468962025,77.154180469062027,77.35456934979571,77.354569349895712,77.552399516337388,77.55239951643739,77.747692837940008,77.74769283804001,77.941291284691076,77.941291284791077,78.130417448769407,78.130417448869409,78.317509763025882,78.317509763125884,78.500960830020674,78.500960830120675,78.682651414105166,78.682651414205168,78.863915545807657,78.863915545907659,79.044228360657996,79.044228360757998,79.224005376361717,79.224005376461719,79.4028310752133,79.402831075313301,79.580530502389337,79.580530502489339,79.757694130418756,79.757694130518757,79.931664832921427,79.931664833021429,80.105569927365323,80.105569927465325,80.276960046223067,80.276960046323069,80.448054928816347,80.448054928916349,80.618504665498406,80.618504665598408,80.786056712918167,80.786056713018169,80.951957624192232,80.951957624292234,81.116940022643533,81.116940022743535,81.280818018772209,81.28081801887221,81.442869923931823,81.442869924031825,81.602428722858221,81.602428722958223,81.755470454613544,81.755470454713546,82.060219887595906,82.060219887695908,82.211555809823238,82.21155580992324,82.361579570875179,82.361579570975181,82.509820979663914,82.509820979763916,82.656793965983098,82.6567939660831,82.800759916275368,82.80075991637537,82.941139292688263,82.941139292788264,83.081070347366236,83.081070347466238,83.220596819015142,83.220596819115144,83.358384677106656,83.358384677206658,83.495636736051566,83.495636736151567,83.632571689379077,83.632571689479079,83.768992712912919,83.768992713012921,83.904265595418281,83.904265595518282,84.169759539903808,84.16975954000381,84.297126651327503,84.297126651427504,84.424187591810281,84.424187591910282,84.551182924234283,84.551182924334285,84.677095723688595,84.677095723788597,84.802713286878458,84.802713286978459,85.052844010935544,85.052844011035546,85.175574819539563,85.175574819639564,85.296402994439276,85.296402994539278,85.414125721223925,85.414125721323927,85.530919000509343,85.530919000609344,85.647657606412437,85.647657606512439,85.764079106698162,85.764079106798164,85.878761993426508,85.87876199352651,85.993390206772546,85.993390206872547,86.220481567525241,86.220481567625242,86.331862181962208,86.33186218206221,86.441657268312241,86.441657268412243,86.550665057957062,86.550665058057064,86.65872153074973,86.658721530849732,86.765553319778704,86.765553319878705,86.871171359720464,86.871171359820465,86.976362947280208,86.97636294738021,87.081346775987186,87.081346776087187,87.186122845841396,87.186122845941398,87.289313387608686,87.289313387708688,87.391749436700138,87.39174943680014,87.494076139026973,87.494076139126975,87.596140409118732,87.596140409218734,87.698051593740033,87.698051593840034,87.799525391302865,87.799525391402867,87.900944515483388,87.90094451558339,88.002090272752383,88.002090272852385,88.101934803522454,88.101934803622456,88.299305713652757,88.299305713752759,88.393584494103919,88.393584494203921,88.487611776996459,88.487611777096461,88.578839782714851,88.578839782814853,88.669805356198182,88.669805356298184,88.759918024917496,88.759918025017498,88.849855738813446,88.849855738913448,88.939716909974152,88.939716910074154,89.029523407752549,89.029523407852551,89.11844419673757,89.118444196837572,89.207036945428754,89.207036945528756,89.383653839635102,89.383653839735103,89.471459291621045,89.471459291721047,89.559002311371913,89.559002311471914,89.646490657740472,89.646490657840474,89.733793114609185,89.733793114709187,89.820920616654519,89.82092061675452,89.907818490494151,89.907818490594153,89.99458514821626,89.994585148316261,90.080826941468203,90.080826941568205,90.166795367808618,90.16679536790862,90.252337341767031,90.252337341867033,90.336763978726367,90.336763978826369,90.420939118127095,90.420939118227096,90.504097332616894,90.504097332716896,90.587157135018543,90.587157135118545,90.670107590655576,90.670107590755578,90.752861222116309,90.75286122221631,90.835374290694872,90.835374290794874,90.999930236764172,90.999930236864174,91.081809094107982,91.081809094207983,91.244221843590822,91.244221843690823,91.324711997024025,91.324711997124027,91.404567939222446,91.404567939322448,91.483942755656557,91.483942755756559,91.562738034238222,91.562738034338224,91.720142701901693,91.720142702001695,91.798260030542735,91.798260030642737,91.953226265355298,91.953226265455299,92.029823673968181,92.029823674068183,92.106027434228466,92.106027434328468,92.182056239665357,92.182056239765359,92.334004503774537,92.334004503874539,92.409792746329288,92.409792746429289,92.560931844380306,92.560931844480308,92.636206157141359,92.636206157241361,92.78639393834024,92.786393938440241,92.86031235122006,92.860312351320061,92.933585618188658,92.93358561828866,93.006519910186938,93.00651991028694,93.079235508655998,93.079235508756,93.151874564389828,93.15187456448983,93.224316795947345,93.224316796047347,93.296420052534557,93.296420052634559,93.36830461559255,93.368304615692551,93.5834443749728,93.583444375072801,93.654782204207706,93.654782204307708,93.725835731854616,93.725835731954618,93.79680178208983,93.796801782189831,93.867614746854585,93.867614746954587,93.938373038237032,93.938373038337033,94.008923570766711,94.008923570866713,94.220094042591441,94.220094042691443,94.289572976827884,94.289572976927886,94.358975368329112,94.358975368429114,94.427962242124792,94.427962242224794,94.4965992062737,94.496599206373702,94.565137758334458,94.56513775843446,94.633457616865996,94.633457616965998,94.701635324603529,94.701635324703531,94.769594338811828,94.76959433891183,94.837454940931977,94.837454941031979,94.905085914846424,94.905085914946426,94.97245445652581,94.972454456625812,95.039735520793485,95.039735520893487,95.106863499590716,95.106863499690718,95.17390400097625,95.173904001076252,95.24080235156778,95.240802351667782,95.374150731015931,95.374150731115932,95.440174307490537,95.440174307590539,95.505519934024534,95.505519934124536,95.570417238823609,95.570417238923611,95.635117719446384,95.635117719546386,95.699632310569299,95.699632310669301,95.763961012192382,95.763961012292384,95.89230130982115,95.892301309921152,95.956203559062232,95.956203559162233,96.019952722832855,96.019952722932857,96.083275434221463,96.083275434321465,96.146477864169015,96.146477864269016,96.209341319146247,96.209341319246249,96.272007949947181,96.272007950047183,96.39716625672564,96.397166256825642,96.459646998026727,96.459646998126729,96.521821568386883,96.521821568486885,96.58379931457074,96.583799314670742,96.645711452695821,96.645711452795823,96.707525178732752,96.707525178832753,96.769142080593383,96.769142080693385,96.830605896983542,96.830605897083544,96.891774477109237,96.891774477209239,96.952636886294016,96.952636886394018,97.135103832407282,97.135103832507284,97.256260047600833,97.256260047700835,97.31659759231546,97.316597592415462,97.376760182206695,97.376760182306697,97.436857164039168,97.43685716413917,97.496724517665953,97.496724517765955,97.616196792684434,97.616196792784436,97.675309653635381,97.675309653735383,97.793469767478484,97.793469767578486,97.852451412311879,97.852451412411881,97.911181559586666,97.911181559686668,97.969802360096836,97.969802360196837,98.086683116793935,98.086683116893937,98.144844660892716,98.144844660992717,98.202831250168117,98.202831250268119,98.260708492678901,98.260708492778903,98.376069329347857,98.376069329447859,98.433520119476654,98.433520119576656,98.490752216076203,98.490752216176205,98.547929639293457,98.547929639393459,98.604986781069627,98.604986781169629,98.66193457608118,98.661934576181181,98.718827697710438,98.71882769781044,98.775622407251532,98.775622407351534,98.83232963938093,98.832329639480932,98.888533876393112,98.888533876493113,98.944672505346503,98.944672505446505,99.056698265694706,99.056698265794708,99.16846159380782,99.168461593907821,99.280126509832783,99.280126509932785,99.335773078345426,99.335773078445428,99.391354038799292,99.391354038899294,99.502417547618876,99.502417547718878,99.779720942682829,99.779720942782831,99.83491918946055,99.834919189560551,99.890040893503027,99.890040893603029,99.94510792416321,99.945107924263212,100.0],[0.0,1e-10,1.8564685388556685,1.8564685389556685,3.1982509394793981,3.1982509395793981,4.2967296439315152,4.2967296440315152,5.125120799944388,5.125120800044388,5.9131657968161973,5.9131657969161973,6.6137713981170885,6.6137713982170885,7.2993834943317735,7.2993834944317735,7.9708880653062559,7.9708880654062559,8.6408251334762713,8.6408251335762714,9.3100125263919757,9.3100125264919757,10.637074031112887,10.637074031212887,11.287042476599909,11.287042476699909,11.936602008311853,11.936602008411853,12.583230991302404,12.583230991402404,13.227883557713408,13.227883557813408,13.867356549640087,13.867356549740087,14.48052275537006,14.48052275547006,15.091167326153716,15.091167326253716,15.700244394132906,15.700244394232906,16.295350241463584,16.295350241563582,16.887934453847947,16.887934453947945,17.473021913689205,17.473021913789204,18.056064804655076,18.056064804755074,18.63576823312447,18.635768233224468,19.214176767972784,19.214176768072782,19.789927363283088,19.789927363383086,20.934340715135672,20.93434071523567,21.500686293619172,21.50068629371917,22.061784145322502,22.0617841454225,22.607479578164551,22.607479578264549,23.150517071468588,23.150517071568586,23.692804889518314,23.692804889618312,24.234274880017882,24.23427488011788,25.311694525053465,25.311694525153463,25.843827651022082,25.84382765112208,26.37548371091977,26.375483711019768,26.905504115717147,26.905504115817145,27.428913747817422,27.42891374791742,27.951505552367543,27.951505552467541,28.472461701817348,28.472461701917346,28.989601322699759,28.989601322799757,29.504423765523388,29.504423765623386,30.018769142276096,30.018769142376094,30.532296691478646,30.532296691578644,31.042825539663955,31.042825539763953,31.552604712594952,31.552604712694951,32.061770514863333,32.061770514963335,32.566438265605854,32.566438265705855,33.070083731910678,33.07008373201068,33.565005704347165,33.565005704447167,34.054407340820092,34.054407340920093,35.030416369636242,35.030416369736244,36.003358545139307,36.003358545239308,36.975073979317145,36.975073979417147,37.458682670643128,37.45868267074313,38.425422987224174,38.425422987324175,38.906101129828762,38.906101129928764,39.386302206362423,39.386302206462425,39.86289121121623,39.862891211316231,40.338662388519879,40.338662388619881,40.812797910723219,40.812797910823221,41.286524519151477,41.286524519251479,41.754730791616176,41.754730791716177,42.68862170159926,42.688621701699262,43.149603830704244,43.149603830804246,43.609563675371533,43.609563675471534,44.069182758559585,44.069182758659586,44.521100632317001,44.521100632417003,45.422482897181361,45.422482897281363,45.871606526809067,45.871606526909069,46.320389394957544,46.320389395057546,46.766991389638946,46.766991389738948,47.658014505534645,47.658014505634647,48.545016635975415,48.545016636075417,48.986984274539253,48.986984274639255,49.428542999328016,49.428542999428018,49.868874982791546,49.868874982891548,50.30757131115476,50.307571311254762,51.183328312780873,51.183328312880874,52.056631831756519,52.056631831856521,52.491170870073098,52.4911708701731,53.359022205381031,53.359022205481033,53.790426238088685,53.790426238188687,54.652825389728903,54.652825389828905,55.083343442590554,55.083343442690555,55.513043667902039,55.513043668002041,55.941585304184144,55.941585304284146,56.369649874395321,56.369649874495323,56.797032921648032,56.797032921748034,57.223257379871356,57.223257379971358,58.074752164176154,58.074752164276155,58.499613576482552,58.499613576582554,58.9205903079257,58.920590308025702,59.341021821002087,59.341021821102089,59.761112572599231,59.761112572699233,60.600612552835067,60.600612552935068,61.437522745828737,61.437522745928739,61.85188870457479,61.851888704674792,62.26536868347484,62.265368683574842,63.091101899949706,63.091101900049708,63.914926852140866,63.914926852240868,64.737116149231724,64.737116149331726,65.558351314180726,65.558351314280728,66.376519625816641,66.376519625916643,66.782571004469432,66.782571004569434,67.188281621642986,67.188281621742988,67.592969954378859,67.59296995447886,67.99711306874795,67.997113068847952,68.397030740774568,68.39703074087457,69.195434886615018,69.19543488671502,69.59289907599117,69.592899076091172,69.989545437817171,69.989545437917172,70.385578428980537,70.385578429080539,70.776840759434663,70.776840759534664,71.166808196267709,71.166808196367711,72.333848110341293,72.333848110441295,73.494754317788704,73.494754317888706,73.879610332433273,73.879610332533275,74.263852976415222,74.263852976515224,75.031315979941411,75.031315980041413,75.797211480663151,75.797211480763153,76.178387271332014,76.178387271432015,76.939784720527882,76.939784720627884,77.698864991664976,77.698864991764978,78.456036998518371,78.456036998618373,79.211914111750687,79.211914111850689,79.965951112995143,79.965951113095144,80.341742872292144,80.341742872392146,81.092985629406897,81.092985629506899,81.468027713449587,81.468027713549588,81.842592731421348,81.84259273152135,82.215794703476178,82.215794703576179,82.958995489681058,82.95899548978106,83.327903867097575,83.327903867197577,83.696471483034856,83.696471483134857,84.800334218858836,84.800334218958838,85.166380199849797,85.166380199949799,85.897790638873246,85.897790638973248,86.260224548184354,86.260224548284356,86.622317696016225,86.622317696116227,87.346026925609038,87.34602692570904,87.707302245890759,87.707302245990761,88.429171363495726,88.429171363595728,89.149609282887909,89.14960928298791,89.507885902152381,89.507885902252383,90.222667180989319,90.222667181089321,90.935608347838411,90.935608347938413,91.29149963674827,91.291499636848272,92.002736996201193,92.002736996301195,92.357674152969196,92.357674153069198,92.711997939074578,92.71199793917458,93.41975953143934,93.419759531539341,93.771902444077639,93.771902444177641,94.475029680324837,94.475029680424839,94.825332480975291,94.825332481075293,95.175226367850655,95.175226367950657,95.874264466347071,95.874264466447073,96.570780929897182,96.570780929997184,96.917471658867768,96.91747165896777,97.263617169471587,97.263617169571589,97.607036588241542,97.607036588341543,97.949910788644743,97.949910788744745,98.292444227568694,98.292444227668696,98.63456875271757,98.634568752817572,99.317931823169332,99.317931823269333,100.0],[0.0,1e-10,9.8138269097930202,9.8138269098930202,16.106011301880041,16.10601130198004,22.047404645588689,22.047404645688687,26.358014930465973,26.358014930565972,30.377131586174755,30.377131586274754,33.547358872142283,33.547358872242285,36.700317085146935,36.700317085246937,39.709713125327696,39.709713125427697,42.66542939653953,42.665429396639531,45.497765423570826,45.497765423670828,48.214003345622807,48.214003345722809,50.768785838527926,50.768785838627927,53.281539985186051,53.281539985286052,55.316169678004613,55.316169678104615,57.282139201211749,57.28213920131175,59.209825478332512,59.209825478432514,60.970854798305552,60.970854798405554,62.679244654909823,62.679244655009825,64.360378504789566,64.360378504889567,66.039639804589001,66.039639804689003,67.672711535740746,67.672711535840747,69.281440115848426,69.281440115948428,72.442096590294369,72.442096590394371,73.926196559501321,73.926196559601323,76.866516307830594,76.866516307930596,78.321071597992628,78.32107159809263,79.661401333255654,79.661401333355656,80.943473954908995,80.943473955008997,82.196418019757488,82.196418019857489,83.386319565235482,83.386319565335484,84.572267949432828,84.572267949532829,85.752390622269203,85.752390622369205,86.892149437818858,86.89214943791886,88.026498664247612,88.026498664347613,89.15959952395616,89.159599524056162,90.289371405744149,90.28937140584415,91.416022370731625,91.416022370831627,92.520202734755358,92.52020273485536,93.618765448538156,93.618765448638158,94.701099394958263,94.701099395058264,95.768244879615835,95.768244879715837,96.831853325232814,96.831853325332816,98.950955832785439,98.950955832885441,100.0],[0.0,1e-10,31.964005173839912,31.96400517393991,57.282512754181539,57.282512754281541,65.016626234477087,65.016626234577089,70.064450945669137,70.064450945769138,74.652625501701479,74.652625501801481,78.327051077790799,78.3270510778908,81.723910135063875,81.723910135163877,84.922031564864525,84.922031564964527,88.020229047891334,88.020229047991336,91.115095732692339,91.115095732792341,94.161110710181688,94.16111071028169,97.09110288280587,97.091102882905872,100.0],[0.0,1e-10,1.3592088855930506,1.3592088856930507,2.4529789952775793,2.4529789953775794,3.5234212237746418,3.5234212238746418,4.5663524978486683,4.5663524979486683,5.585924828310211,5.585924828410211,6.6053729090716882,6.6053729091716882,7.5813025323849077,7.5813025324849077,8.5176068555186184,8.5176068556186184,9.3729728532007393,9.3729728533007393,10.206139571137664,10.206139571237664,11.027709650401725,11.027709650501725,11.82280418940997,11.82280418950997,12.604987113752982,12.604987113852982,13.379456202550204,13.379456202650204,14.120222560204416,14.120222560304416,14.857996570915361,14.857996571015361,15.571003474746403,15.571003474846403,16.275002275322631,16.275002275422629,16.962827906606886,16.962827906706885,17.632927247348331,17.632927247448329,18.302457110297805,18.302457110397803,18.968528689928764,18.968528690028762,19.615331211907758,19.615331212007757,20.254533793899359,20.254533793999357,20.891727672406553,20.891727672506551,21.507353873810555,21.507353873910553,22.11730600557819,22.117306005678188,22.71095036421211,22.710950364312108,23.285708768435939,23.285708768535937,23.854347874931495,23.854347875031493,24.419373385983455,24.419373386083453,24.983601628126653,24.983601628226651,25.540581971099314,25.540581971199313,26.090531851876548,26.090531851976547,26.626793557363136,26.626793557463134,27.15885148133081,27.158851481430808,27.690795509740088,27.690795509840086,28.218949922297345,28.218949922397343,28.746317420087511,28.746317420187509,29.272245692185244,29.272245692285242,29.791474834621059,29.791474834721058,30.304771053878707,30.304771053978705,30.814008449600852,30.81400844970085,31.318130899336932,31.31813089943693,31.819033211012954,31.819033211112952,32.311766104909616,32.311766105009617,32.800543716687493,32.800543716787494,33.284951880679699,33.284951880779701,33.766988946228977,33.766988946328979,34.24068057359046,34.240680573690462,34.71197004008399,34.711970040183992,35.182866049193976,35.182866049293978,35.644246602107209,35.644246602207211,36.103338889710891,36.103338889810892,36.561768512247554,36.561768512347555,37.019276616175382,37.019276616275384,37.475987451194456,37.475987451294458,37.925874906851554,37.925874906951556,38.370854499356021,38.370854499456023,38.81155783134988,38.811557831449882,39.250076439450893,39.250076439550895,39.682517166390333,39.682517166490335,40.114543727662884,40.114543727762886,40.541703842349499,40.5417038424495,40.967259065076917,40.967259065176918,41.392130914453979,41.392130914553981,41.816319390480672,41.816319390580674,42.24016617983218,42.240166179932181,43.085726805350731,43.085726805450733,43.499851055672046,43.499851055772048,43.909709399624411,43.909709399724413,44.317797185350834,44.317797185450836,44.723524226776,44.723524226876002,45.127283981283441,45.127283981383442,45.528745116339657,45.528745116439659,45.928932691970189,45.928932692070191,46.326925189566211,46.326925189666213,46.722577651144327,46.722577651244329,47.118012675747316,47.118012675847318,47.502451601894435,47.502451601994437,47.885886176299351,47.885886176399353,48.267819400161791,48.267819400261793,48.642359766870285,48.642359766970287,49.0146222224109,49.014622222510901,49.385921742775992,49.385921742875993,49.755947703715407,49.755947703815409,50.123602566211886,50.123602566311888,50.490045994132721,50.490045994232723,50.855868173553226,50.855868173653228,51.214535641078236,51.214535641178237,51.571515383510679,51.571515383610681,51.928350167959707,51.928350168059708,52.284149538241522,52.284149538341524,52.631986573577407,52.631986573677409,52.97567159810275,52.975671598202752,53.3178242096606,53.317824209760602,53.659780092526681,53.659780092626683,54.00145641356761,54.001456413667611,54.342449361258176,54.342449361358177,54.68318345540694,54.683183455506942,55.022022741629684,55.022022741729685,55.358573762542875,55.358573762642877,55.694917700622625,55.694917700722627,56.029905246143315,56.029905246243317,56.363370732838192,56.363370732938193,56.694568662506853,56.694568662606855,57.02252574583212,57.022525745932121,57.34521257104624,57.345212571146241,57.667071064926574,57.667071065026576,57.986806959764117,57.986806959864118,58.619765994327381,58.619765994427382,58.932077969585954,58.932077969685956,59.241045557084405,59.241045557184407,59.549412604365862,59.549412604465864,59.854839075412421,59.854839075512423,60.159975630492163,60.159975630592164,60.464345979088151,60.464345979188153,60.768467828284017,60.768467828384019,61.072299761513058,61.07229976161306,61.372621640715217,61.372621640815218,61.672384396267084,61.672384396367086,61.969993490351129,61.969993490451131,62.260903454773263,62.260903454873265,62.551720231920349,62.551720232020351,62.842485238359075,62.842485238459076,63.131666061121948,63.131666061221949,63.420701925901412,63.420701926001414,63.709168312888906,63.709168312988908,63.996216182467315,63.996216182567316,64.282653157687051,64.282653157787053,64.568396405414759,64.568396405514761,64.852586531891632,64.852586531991633,65.136673116951783,65.136673117051785,65.418813123377575,65.418813123477577,65.700352589586359,65.700352589686361,65.979520957352221,65.979520957452223,66.258513304709652,66.258513304809654,66.536666966591639,66.536666966691641,66.81131057444675,66.811310574546752,67.08235094099993,67.082350941099932,67.352759704911108,67.35275970501111,67.622422970621884,67.622422970721885,67.891661716524098,67.8916617166241,68.160786566867927,68.160786566967928,68.429693980236635,68.429693980336637,68.697607396004813,68.697607396104814,68.962642360388116,68.962642360488118,69.227138909404474,69.227138909504475,69.491045272345502,69.491045272445504,69.745964240315075,69.745964240415077,69.99790121548304,69.997901215583042,70.24845073566695,70.248450735766951,70.497892362691914,70.497892362791916,70.745791222607735,70.745791222707737,70.991225796805566,70.991225796905567,71.236080539069746,71.236080539169748,71.479589242916546,71.479589243016548,71.721751908345965,71.721751908445967,71.960104249640011,71.960104249740013,72.195298577724031,72.195298577824033,72.430306531257969,72.430306531357971,72.665065985391749,72.665065985491751,72.898500109391506,72.898500109491508,73.12380623217858,73.123806232278582,73.348356502623588,73.34835650272359,73.571022319284253,73.571022319384255,73.792331743385859,73.79233174348586,74.012129462803316,74.012129462903317,74.228634565169017,74.228634565269019,74.44395929538409,74.443959295484092,74.657430634239844,74.657430634339846,74.870612057128767,74.870612057228769,75.083410376775831,75.083410376875833,75.295815239039342,75.295815239139344,75.506449543076911,75.506449543176913,75.714350353713016,75.714350353813018,75.920646272389931,75.920646272489932,76.126113859733067,76.126113859833069,76.33109480241761,76.331094802517612,76.533642521809185,76.533642521909186,76.734751015508323,76.734751015608325,76.935704197082387,76.935704197182389,77.134886820430509,77.134886820530511,77.333551736695,77.333551736795002,77.530974155958845,77.530974156058846,77.727568243888911,77.727568243988912,77.923561791601983,77.923561791701985,78.115869264879763,78.115869264979764,78.307990363607431,78.307990363707432,78.498444445525877,78.498444445625879,78.688484361777441,78.688484361877443,78.876422387269542,78.876422387369544,79.064287933769947,79.064287933869949,79.247639074501265,79.247639074601267,79.428960803464832,79.428960803564834,79.607549039026935,79.607549039126937,79.784967256580089,79.78496725668009,79.959548439315043,79.959548439415045,80.307250870809199,80.307250870909201,80.652913536393925,80.652913536493926,80.823705103276865,80.823705103376867,80.992788236783895,80.992788236883897,81.161436496340684,81.161436496440686,81.329743069222303,81.329743069322305,81.496289438019645,81.496289438119646,81.661148081724406,81.661148081824408,81.825613268045643,81.825613268145645,81.988690999382783,81.988690999482785,82.151468460611454,82.151468460711456,82.314007776581647,82.314007776681649,82.476402134568431,82.476402134668433,82.637056996754282,82.637056996854284,82.796459007797807,82.796459007897809,82.955239770340995,82.955239770440997,83.113523534083924,83.113523534183926,83.429252376094311,83.429252376194313,83.586593912945062,83.586593913045064,83.743034639470338,83.74303463957034,83.899371824578893,83.899371824678894,84.055346614728919,84.05534661482892,84.211135030328833,84.211135030428835,84.366819904512042,84.366819904612044,84.522225216870083,84.522225216970085,84.676284490810744,84.676284490910746,84.829111621892423,84.829111621992425,84.981638482865606,84.981638482965607,85.131493975287356,85.131493975387357,85.281204509725697,85.281204509825699,85.430490524355477,85.430490524455479,85.578823957951414,85.578823958051416,85.726701809313781,85.726701809413782,85.874517535826101,85.874517535926103,86.019672247928682,86.019672248028684,86.16457846063112,86.164578460731121,86.308583863008081,86.308583863108083,86.449659043291803,86.449659043391804,86.58910862333299,86.589108623432992,86.726456312614729,86.726456312714731,86.862592567320817,86.862592567420819,86.997413846034533,86.997413846134535,87.13173812594799,87.131738126047992,87.265969218586392,87.265969218686394,87.399568708582791,87.399568708682793,87.529606373843947,87.529606373943949,87.788387436657246,87.788387436757247,87.916799501675868,87.91679950177587,88.044662797185865,88.044662797285866,88.172039448037268,88.172039448137269,88.299343619896973,88.299343619996975,88.425798752139556,88.425798752239558,88.552150342965405,88.552150343065406,88.677891039432609,88.677891039532611,88.803310757507973,88.803310757607974,88.928192060216375,88.928192060316377,89.052358927149399,89.052358927249401,89.175852774873732,89.175852774973734,89.297948813472317,89.297948813572319,89.419609978120661,89.419609978220663,89.540535998710283,89.540535998810284,89.661213519899775,89.661213519999777,89.781777145530882,89.781777145630883,89.900694462636096,89.900694462736098,90.016132788139458,90.01613278823946,90.131053406559204,90.131053406659206,90.244327716453071,90.244327716553073,90.35677369501316,90.356773695113162,90.469022944881488,90.469022944981489,90.581075466058039,90.58107546615804,90.691781948817194,90.691781948917196,90.802374536017965,90.802374536117966,90.91192135490985,90.911921355009852,91.020567363476246,91.020567363576248,91.127287501691612,91.127287501791614,91.34044821629719,91.340448216397192,91.446671355712297,91.446671355812299,91.552035101368602,91.552035101468604,91.656943264791337,91.656943264891339,91.761623637097273,91.761623637197275,91.863901848535264,91.863901848635265,91.965631290464628,91.96563129056463,92.065434862042963,92.065434862142965,92.164989934221168,92.16498993432117,92.264348277707612,92.264348277807613,92.362443415910036,92.362443416010038,92.459306411253465,92.459306411353467,92.555858782346732,92.555858782446734,92.650433512380602,92.650433512480603,92.744832222006053,92.744832222106055,92.839065265364738,92.83906526546474,92.933018746898284,92.933018746998286,93.026703020748357,93.026703020848359,93.119424359422908,93.11942435952291,93.304483933530136,93.304483933630138,93.488798009436977,93.488798009536978,93.579945518577347,93.579945518677349,93.670917007309299,93.670917007409301,93.761753892199508,93.76175389229951,93.852466527389652,93.852466527489653,93.943085975304754,93.943085975404756,94.032535405210893,94.032535405310895,94.120576671849605,94.120576671949607,94.208369439088187,94.208369439188189,94.295427062268047,94.295427062368049,94.381666708255807,94.381666708355809,94.467626792418415,94.467626792518416,94.553535105872655,94.553535105972657,94.638728983551516,94.638728983651518,94.723374091721752,94.723374091821753,94.807491138666705,94.807491138766707,94.890728083569513,94.890728083669515,94.973260946838622,94.973260946938623,95.054199272290219,95.054199272390221,95.134174662566295,95.134174662666297,95.213911907583906,95.213911907683908,95.290252994133027,95.290252994233029,95.366459476840419,95.36645947694042,95.44174444093899,95.441744441038992,95.516553114520633,95.516553114620635,95.591113288702147,95.591113288802148,95.665549213183596,95.665549213283597,95.739602034423172,95.739602034523173,95.813478835254315,95.813478835354317,95.887138199110353,95.887138199210355,95.959762148799157,95.959762148899159,96.032147953229511,96.032147953329513,96.102918511558997,96.102918511658999,96.172933217546415,96.172933217646417,96.242865090400457,96.242865090500459,96.312693421837778,96.31269342193778,96.382180066599915,96.382180066699917,96.451521753378628,96.45152175347863,96.588589880835215,96.588589880935217,96.723939220774213,96.723939220874215,96.791292912351878,96.79129291245188,96.858356687962726,96.858356688062727,96.925151255890086,96.925151255990087,96.991428116733829,96.991428116833831,97.05737364504408,97.057373645144082,97.122677216570651,97.122677216670652,97.187866892538821,97.187866892638823,97.25231107030659,97.252311070406591,97.316341082407476,97.316341082507478,97.379998345408154,97.379998345508156,97.443500296283759,97.44350029638376,97.506867643317634,97.506867643417635,97.570131448934774,97.570131449034776,97.633333129701882,97.633333129801883,97.696451977335613,97.696451977435615,97.759425866985936,97.759425867085938,97.821933820261009,97.821933820361011,97.946473436294227,97.946473436394228,98.008246245510577,98.008246245610579,98.069594534918366,98.069594535018368,98.130673616642667,98.130673616742669,98.191328178558422,98.191328178658424,98.251226888132095,98.251226888232097,98.310856390022295,98.310856390122296,98.429960081677606,98.429960081777608,98.489030459917515,98.489030460017517,98.547541714507119,98.547541714607121,98.605731990704882,98.605731990804884,98.721967585117,98.721967585217001,98.779930070197977,98.779930070297979,98.895575478534781,98.895575478634782,99.010651409079614,99.010651409179616,99.182623348113182,99.182623348213184,99.239208732351756,99.239208732451758,99.295649158606921,99.295649158706922,99.351737544045221,99.351737544145223,99.407318576541599,99.4073185766416,99.462837484187929,99.462837484287931,99.518252850417539,99.518252850517541,99.573057322288506,99.573057322388507,99.627147358384079,99.627147358484081,99.680792166387747,99.680792166487748,99.787936824411673,99.787936824511675,99.894688025052048,99.89468802515205,99.947742646980402,99.947742647080403,100.0]],"filenames":["3A1_S1_L001","3A2_S2_L001","3A9_S8_L001","3B1_S9_L001","3B2_S10_L001","3B3_S11_L001","3C1_S16_L001","3C2_S17_L001","3C3_S18_L001","3C6_S21_L001","3C8_S23_L001","3E6_S39_L001","3F8_S49_L001","3G9_S59_L001","3H1_S60_L001","3H3_S62_L001","3H8_S67_L001","3H9_S68_L001","3I6_S74_L001","4A1_S97_L002","4A3_S99_L002","4A5_S101_L002","4A6_S102_L002","4A8_S104_L002","4B1_S106_L002","4B3_S108_L002","4B7_S112_L002","4C1_S115_L002","4C8_S122_L002","4D6_S129_L002","4D7_S130_L002","4D8_S131_L002","4E5_S137_L002","4F1_S142_L002","4G3_S152_L002"]}
{{ coordNGx }}
{{ coordNAx }}
{{ coordNGAx }}
{{ genesInContigs }}
{{ operonsInContigs }}
[{{ num_contigs }}, {{ Largest_alignment }}, {{ Total_aligned_length }}, {{ num_misassemblies }}, {{ Misassembled_contigs_length }}, {{ num_mismatches_per_100_kbp }}, {{ num_indels_per_100_kbp }}, {{ num_N's_per_100_kbp }}, {{ Genome_fraction }}, {{ Duplication_ratio }}, {{ NGA50 }}]
{{ allMisassemblies }}
{{ krona }}
{"list_of_GC_distributions":[[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,2,0,0,3,1,4,10,13,17,23,31,41,57,78,121,143,180,202,287,331,412,527,681,795,960,1199,1432,1756,2035,2445,2753,3086,3423,3924,4130,4366,4416,4371,4210,3868,3349,2908,2404,1799,1376,1037,724,493,364,210,177,109,66,57,31,28,22,18,11,12,3,2,5,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,1,1,2,0,0,0,0,1,3,1,4,17,8,13,19,28,38,63,77,102,132,190,216,267,341,412,562,650,821,987,1195,1454,1787,2158,2425,2887,3408,3813,4321,4690,4948,5329,5374,5347,5086,4777,4237,3576,2849,2170,1722,1266,961,647,432,317,216,152,143,83,57,39,32,15,10,8,13,9,9,3,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,2,5,5,8,13,22,28,39,51,70,87,127,178,243,294,431,539,739,909,1072,1303,1516,1705,1914,2004,2010,1947,1845,1658,1506,1276,1083,949,860,764,693,643,590,568,614,569,534,480,461,396,358,279,198,177,126,77,66,39,24,18,10,3,5,4,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,2,4,6,4,7,12,12,19,25,25,32,51,62,48,97,103,129,164,178,219,259,281,272,285,285,288,272,245,234,189,174,154,132,104,110,81,99,87,70,76,71,63,63,56,45,34,24,32,19,11,10,4,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,1,1,1,5,1,4,10,17,25,18,30,42,72,93,123,167,196,230,279,402,500,610,710,931,1093,1362,1553,1948,2263,2597,3022,3478,3872,4257,4683,4782,5098,4861,4555,4217,3746,3293,2568,2085,1537,1145,780,588,364,322,184,151,106,73,42,40,29,28,9,10,7,5,7,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,1,0,0,0,0,1,1,3,9,8,20,42,68,94,144,242,323,526,726,973,1304,1690,2031,2620,3162,3667,4136,4539,4667,4997,4898,4894,4886,4660,4406,4193,3853,3582,3290,2945,2528,2059,1800,1633,1378,1211,1170,1141,1227,1290,1405,1530,1664,1751,1877,2050,2164,2103,2131,2003,1895,1764,1515,1241,1045,830,582,467,338,213,139,88,50,50,22,16,9,4,4,4,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,1,0,1,0,1,1,4,3,5,12,5,14,14,14,12,21,22,22,26,33,31,38,50,52,57,46,59,65,63,62,61,55,55,45,51,48,52,46,54,59,46,47,32,32,24,28,22,22,25,22,20,20,18,17,15,17,14,10,5,10,13,8,4,1,4,3,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,1,1,2,2,2,5,6,15,16,19,37,34,35,70,84,102,129,167,243,296,325,432,497,661,804,939,1167,1388,1701,1958,2324,2552,3021,3263,3631,3971,4160,4178,4146,3982,3618,3118,2759,2250,1701,1278,967,666,482,357,240,175,150,110,79,59,56,48,43,46,36,35,31,21,22,14,11,6,5,4,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,4,3,4,9,13,28,31,39,57,70,90,112,138,131,139,156,150,156,149,146,129,96,101,68,48,51,27,21,17,10,6,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,5,6,9,16,38,36,66,85,114,166,170,259,320,417,544,666,851,1028,1319,1612,1845,2224,2689,3129,3611,4100,4476,4679,4890,4980,4737,4419,4093,3579,2923,2383,1842,1384,967,715,455,287,226,133,92,73,39,27,25,21,10,6,3,0,1,3,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,5,4,2,5,7,14,16,27,37,44,66,96,132,152,233,237,352,370,437,493,501,624,636,652,596,553,536,497,505,391,395,297,228,213,159,118,103,86,78,58,47,52,42,15,18,21,15,8,5,6,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,9,9,11,23,31,38,50,58,83,127,150,216,277,402,447,595,703,970,1200,1441,1827,2236,2788,3278,3904,4597,5243,5557,6005,5917,5633,5227,4615,4025,3339,2642,1953,1524,983,733,513,383,251,201,118,91,86,66,56,43,44,40,37,24,29,24,15,9,5,2,1,3,3,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,2,1,3,3,8,4,6,17,17,22,26,40,40,57,79,119,127,162,230,317,365,509,644,822,1154,1377,1706,2046,2656,3187,3735,4424,4927,5455,5883,6300,6543,6472,6643,6461,6111,5524,4868,4242,3421,2759,2028,1512,1063,717,422,277,154,94,49,24,18,5,4,2,0,1,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,6,1,10,5,16,18,21,26,49,51,63,89,92,101,124,149,182,201,207,234,209,256,269,284,293,317,315,255,270,212,208,177,130,117,115,67,76,48,36,28,22,18,10,12,1,7,0,3,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,0,2,3,6,15,20,48,75,102,169,249,313,424,600,842,992,1357,1591,1952,2311,2690,2997,3439,3595,3819,3925,3998,4231,4103,4015,3995,3794,3516,3113,2833,2475,2088,1736,1452,1238,893,761,684,598,494,506,473,460,433,391,411,392,355,337,291,248,203,157,120,116,86,72,54,36,30,26,17,15,12,4,4,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,2,2,3,5,7,11,17,18,18,20,31,43,32,37,58,54,65,65,87,82,117,146,154,137,135,146,166,183,164,162,158,134,111,85,89,62,67,37,31,26,14,15,4,3,10,4,1,0,3,1,0,3,3,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,2,0,1,4,5,4,6,8,16,21,19,40,41,70,78,119,136,174,233,261,344,417,525,585,728,854,1043,1229,1447,1652,1692,1915,2119,2165,2342,2174,2114,2018,1804,1626,1336,1121,801,652,413,315,228,172,109,62,49,40,28,23,10,14,7,6,4,4,2,2,4,1,3,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,3,0,1,0,1,2,6,4,0,5,3,1,4,4,5,5,6,5,9,3,11,3,9,5,2,4,5,1,3,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,1,1,1,1,2,10,12,10,19,40,33,42,63,83,135,151,210,232,323,381,463,565,746,899,1126,1272,1560,1883,2320,2635,2976,3347,3862,4177,4542,4719,4844,4855,4603,4250,3616,3121,2576,2038,1537,1068,742,557,351,264,188,126,75,62,34,29,28,12,11,5,7,7,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,1,1,0,1,2,2,8,10,14,18,31,40,46,76,70,116,147,177,215,306,386,493,578,702,875,1075,1289,1508,1860,2106,2550,2977,3334,3747,4238,4650,4855,4876,4734,4653,4318,3814,3174,2666,2067,1597,1203,828,560,397,280,179,127,90,57,60,26,31,22,23,10,10,6,8,4,2,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,1,1,3,5,2,5,10,13,17,25,33,34,55,67,88,129,138,189,244,338,402,461,604,717,923,1123,1296,1535,1864,2167,2484,2838,3028,3366,3505,3587,3598,3588,3319,3063,2736,2286,1937,1498,1106,862,606,457,319,231,174,149,117,122,98,89,94,83,82,60,71,47,31,31,13,14,11,10,5,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[1,0,0,0,0,0,0,0,0,0,2,2,2,7,3,14,23,19,29,38,50,69,79,128,164,178,269,359,428,508,606,760,878,1150,1294,1629,1909,2261,2711,3053,3537,3968,4468,4649,4799,4969,5127,4685,4448,3854,3184,2714,2029,1562,1231,826,612,404,287,175,143,102,63,52,41,27,30,17,10,11,6,9,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,0,0,0,1,6,7,13,16,22,41,54,61,101,126,181,221,313,391,489,700,874,1031,1279,1752,2106,2511,3046,3652,4359,5177,5907,6608,7301,7834,8337,8714,8692,8590,8007,7703,6570,5809,4838,3905,3166,2450,1808,1271,858,532,325,226,123,76,42,20,18,14,10,8,4,2,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,6,12,21,34,56,80,118,159,213,317,369,481,631,745,986,1204,1439,1627,2025,2410,2834,3317,3748,4148,4752,5162,5295,5546,5414,5198,5054,4777,4615,4570,4533,4826,5229,5873,6532,7345,7957,8938,9555,9622,9653,9525,8962,8433,7226,6409,5289,4380,3552,2635,2018,1501,1178,898,557,432,273,180,117,72,29,20,7,8,2,1,0,1,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,2,6,14,27,36,48,62,81,136,157,194,280,337,440,615,739,888,1173,1444,1754,2257,2647,3077,3748,4336,4996,5521,6091,6501,6789,6949,6908,6740,6163,5597,4999,4390,3545,2865,2160,1820,1279,916,690,453,319,220,153,99,74,51,48,21,16,8,4,3,3,0,0,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,0,0,0,2,6,5,10,21,25,39,72,67,120,174,244,318,422,579,712,923,1153,1392,1640,1975,2324,2751,3157,3724,4133,4469,5016,5283,5525,5602,5660,5598,5312,4975,4637,4350,3961,3695,3645,3536,3686,3863,4205,4685,5567,6027,6812,7588,8351,8752,9000,9044,8826,8196,7780,6783,5718,4799,4149,3348,2696,2035,1540,1207,898,685,465,326,245,155,97,59,23,12,9,4,0,0,1,0,2,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,2,6,6,12,15,20,26,47,52,94,123,166,221,275,364,492,615,833,1022,1303,1598,1942,2227,2661,3221,3721,4219,4592,5369,5901,6458,6801,6871,7172,7268,7265,6982,7002,6689,6726,6813,7116,7761,8375,9222,10326,11120,11856,12522,12940,12798,12483,11835,10838,9628,8416,7057,5679,4825,3618,2833,2079,1514,1163,876,584,428,246,172,112,51,34,24,11,4,1,0,1,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,33.0,34.0,35.0,36.0,37.0,38.0,39.0,40.0,41.0,42.0,43.0,44.0,45.0,46.0,47.0,48.0,49.0,50.0,51.0,52.0,53.0,54.0,55.0,56.0,57.0,58.0,59.0,60.0,61.0,62.0,63.0,64.0,65.0,66.0,67.0,68.0,69.0,70.0,71.0,72.0,73.0,74.0,75.0,76.0,77.0,78.0,79.0,80.0,81.0,82.0,83.0,84.0,85.0,86.0,87.0,88.0,89.0,90.0,91.0,92.0,93.0,94.0,95.0,96.0,97.0,98.0,99.0,100.0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,5,11,9,17,28,26,37,46,54,81,101,157,199,231,301,401,493,547,686,771,1024,1168,1417,1763,2013,2396,2812,3269,3864,4419,5059,5798,6433,7115,7927,8331,8816,9433,9663,9679,9635,9292,8676,7951,7166,6117,5283,4405,3428,2785,2041,1413,954,664,452,277,187,103,62,31,19,13,6,1,0,0,0,0,0,0,0,0,0,0,0,0]],[[0.0,1.0,2.0,3.0,4.0,5.0,6.0,7.0,8.0,9.0,10.0,11.0,12.0,13.0,14.0,15.0,16.0,17.0,18.0,19.0,20.0,21.0,22.0,23.0,24.0,25.0,26.0,27.0,28.0,29.0,30.0,31.0,32.0,3