[0.0003459525,0.00029228747,0.00019052852,9.5136485E-05,3.6248788E-05,1.3195594E-05,7.399544E-06,6.484952E-06,5.5526466E-06,4.672209E-06,3.9739552E-06,3.6643135E-06,3.8574512E-06,4.5172787E-06,5.767792E-06,8.596492E-06,1.528589E-05,2.9450503E-05,5.5135926E-05,9.7331744E-05,0.00016011507,0.00024748864,0.00035733567,0.0004828975,0.0006073907,0.0007137058,0.0007855005,0.00081746466,0.0008135496,0.00078533776,0.00074920827,0.0007176272,0.0007057793,0.0007224187,0.00077695906,0.00085845037,0.00094744656,0.0010249875,0.001108699,0.0012462937,0.0014841339,0.0018193607,0.0022188576,0.0026826682,0.0035944998,0.0057458687,0.010325692,0.017564232,0.026559656,0.035089795,0.041979056,0.047159377,0.05182903,0.056264814,0.06017487,0.06286924,0.06426019,0.0642612,0.06248692,0.05880614,0.05442966,0.05245815,0.055713385,0.06444983,0.074671686,0.08061975,0.07783901,0.066287406,0.050062563,0.035451498,0.027822291,0.028787166,0.03568961,0.04297006,0.046336476,0.045505315,0.044981424,0.05079348,0.06576527,0.08671508,0.10575431,0.116305314,0.11710348,0.112398475,0.107203245,0.1040641,0.102495015,0.10072866,0.0972887,0.09158257,0.08445505,0.07795775,0.07502931,0.07763242,0.085497975,0.0951402,0.102085896,0.103079975,0.09845593,0.09094607,0.084194146,0.08017751,0.07890864,0.07848663,0.076993205,0.07342037,0.068455376,0.06391891,0.06227048,0.06563193,0.07447542,0.08690839,0.09916384,0.10785759,0.111505695,0.11082423,0.10715126,0.10151446,0.09440454,0.08644649,0.07879097,0.072817616,0.07014337,0.07145256,0.076322466,0.08216742,0.0861252,0.08621609,0.083078496,0.078694634,0.075143754,0.0731667,0.07233105,0.0715138,0.06979359,0.06698755,0.064310044,0.064325504,0.07009859,0.08299721,0.10093353,0.11872593,0.13090037,0.13469224,0.1308062,0.122315384,0.11263916,0.104387574,0.09820997,0.093214,0.08797068,0.082485296,0.078413,0.077781625,0.080881216,0.08562552,0.088764824,0.08810464,0.08373154,0.0778732,0.07335209,0.07192653,0.073292375,0.07530242,0.07583553,0.07402049,0.0710397,0.06876574,0.06920382,0.07299515,0.079381734,0.08560314,0.08874894,0.08717903,0.08230192,0.07734209,0.07518652,0.07599514,0.0773141,0.07634594,0.072303034,0.06730384,0.06560638,0.07226604,0.09094846,0.120449364,0.15290856,0.17634903,0.18271069,0.17387508,0.16093402,0.15517427,0.16000903,0.16972934,0.17588544,0.17406094,0.16559185,0.15503196,0.14666009,0.14333053,0.14580737,0.15272047,0.16049947,0.16517608,0.16427669,0.15798241,0.14818893,0.13712339,0.12631865,0.1165648,0.10811143,0.10120293,0.09657695,0.09590011,0.10045207,0.10972374,0.12012586,0.12716979,0.12749398,0.12108553,0.11026747,0.09890243,0.09053573,0.087483525,0.08979046,0.09575599,0.10319361,0.110858284,0.11879462,0.12745742,0.13663436,0.1445846,0.14895816,0.14788906,0.14161645,0.13235496,0.123611785,0.11813056,0.116360106,0.116190016,0.11458834,0.10990604,0.102932684,0.09671684,0.09509921,0.10110959,0.114975,0.13343127,0.15089835,0.16220288,0.16504584,0.16011105,0.1498834,0.13677423,0.122848205,0.109889455,0.10018905,0.09643236,0.10141771,0.1157312,0.13635062,0.15636343,0.16951555,0.17345248,0.1710519,0.16642712,0.16212042,0.15762998,0.15091513,0.13986474,0.12399131,0.10526168,0.08762685,0.07514575,0.069735505,0.07041648,0.07398555,0.07714063,0.07796603,0.07683989,0.07563463,0.0766244,0.08069552,0.08673864,0.091896154,0.093690716,0.09138573,0.08653905,0.0817022,0.07945221,0.08122154,0.086699806,0.09355446,0.09870697,0.10008127,0.09777012,0.093264006,0.088088326,0.08286966,0.077626586,0.072303005,0.06715741,0.06288738,0.06089075,0.0627665,0.069218345,0.078630656,0.08755001,0.092451185,0.09202185,0.08772277,0.08275228,0.079918295,0.07988098,0.08106174,0.08104699,0.078641035,0.074480295,0.07094408,0.070837714,0.07618805,0.08639447,0.0980422,0.10667143,0.10969325,0.10789058,0.10421524,0.10153859,0.10089377,0.10144228,0.10151306,0.100174546,0.098089874,0.09743816,0.100234024,0.10689644,0.11515188,0.121365644,0.12213605,0.11659288,0.10661758,0.09632624,0.08943636,0.08736954,0.088202335,0.08865014,0.08648195,0.082474075,0.080013745,0.083455555,0.095461525,0.114924826,0.13664806,0.15432203,0.16404934,0.16622286,0.16320108,0.15668155,0.14656864,0.13286436,0.117055915,0.101909995,0.08988482,0.08244241,0.080657214,0.08523219,0.09567355,0.10869518,0.11946424,0.12379184,0.1210812,0.114092626,0.1072251,0.10345916,0.10295423,0.10340625,0.10238722,0.09899252,0.09446257,0.09069792,0.089178674,0.08975897,0.09116141,0.091691144,0.090630315,0.088498764,0.08675926,0.086609386,0.088404916,0.09126618,0.09397756,0.09552751,0.09590596,0.09560997,0.09555327,0.0963243,0.09817874,0.100391656,0.10188606,0.101536036,0.0995351,0.09692813,0.095569305,0.0963088,0.09913374,0.1025345,0.10522271,0.10622043,0.106034,0.10561823,0.1062059,0.10798482,0.1102767,0.11180318,0.11186663,0.11067799,0.109161146,0.10807872,0.107645035,0.10739515,0.10670004,0.10501871,0.102373086,0.09930127,0.096856855,0.095847845,0.096268386,0.096950375,0.09650082,0.09445249,0.092521586,0.093966305,0.101844154,0.1153225,0.1300487,0.14097695,0.14820136,0.1551711,0.16476063,0.17551132,0.18617399,0.19862527,0.21618165,0.23763132,0.25706443,0.2686554,0.27152184,0.2684112,0.26168463,0.25017115,0.23051311,0.20114334,0.16700666,0.14001785,0.1339622,0.1545151,0.19406639,0.23457694,0.26034403,0.26616457,0.25829735,0.2452169,0.2319768,0.21887755,0.20505686,0.18978572,0.17214091,0.15295506,0.13676636,0.1329887,0.14487006,0.16459572,0.17202534,0.15509215,0.116535716,0.074948154,0.045432758,0.033979822,0.035995767,0.044854566,0.05414504,0.05993923,0.060844507,0.058769185,0.057471346,0.060587954,0.069376744,0.08187031,0.09389656,0.10157043,0.103583254,0.10139674,0.09783474,0.095145226,0.094157636,0.094181664,0.09400684,0.09270214,0.09050832,0.088719636,0.089048184,0.09231884,0.097366564,0.10135606,0.10151694,0.0983144,0.096906655,0.10597686,0.13126107,0.17006831,0.21001196,0.23744988,0.24609773,0.2403698,0.22932303,0.21953113,0.21277623,0.20861138,0.20730181,0.20979641,0.2158284,0.22397791,0.23205858,0.2384995,0.24108934,0.23810184,0.22969662,0.22038518,0.2173522,0.22733815,0.25062713,0.28019848,0.30329815,0.3113843,0.3041459,0.2897189,0.2756116,0.2648251,0.25536174,0.24391992,0.22721678,0.20312142,0.1725874,0.14155833,0.120165974,0.11774758,0.13696282,0.17091312,0.20647721,0.23135565,0.24008048,0.23588093,0.22799736,0.22580703,0.23285513,0.24444513,0.25293493,0.25404915,0.25030074,0.24659257,0.24622245,0.24901813,0.2530749,0.25584376,0.2544093,0.24610268,0.23038268,0.21066616,0.19406743,0.18715106,0.19186752,0.20369917,0.2155322,0.2218133,0.22136857,0.21716285,0.21376686,0.21515392,0.220852,0.22735511,0.22967315,0.22627519,0.2182758,0.20863558,0.19935608,0.19177835,0.18699495,0.18588834,0.18963583,0.198386,0.21337973,0.23301494,0.2546588,0.2706293,0.27686867,0.27174163,0.26058707,0.24705546,0.2342575,0.22205837,0.21125954,0.20202522,0.19423944,0.18679178,0.17988719,0.17556562,0.17621405,0.18075329,0.18419246,0.18140917,0.17166013,0.15969808,0.1523702,0.155769,0.17183341,0.19783229,0.22604387,0.24886043,0.2621638,0.26760927,0.2688386,0.26890972,0.26845086,0.26662397,0.26170903,0.2520757,0.23717465,0.21917759,0.20315786,0.19625688,0.2030732,0.22299272,0.2485436,0.27104986,0.2842784,0.28761867,0.28240585,0.27058306,0.25371072,0.23543318,0.220577,0.21312802,0.21309473,0.21749358,0.22260678,0.22635402,0.22769122,0.22593822,0.22182202,0.21867676,0.22231661,0.2347434,0.25140247,0.26108634,0.25700608,0.24069726,0.22244477,0.21081482,0.2096588,0.2168814,0.22872557,0.24033427,0.24787004,0.24922462,0.24468832,0.23484616,0.21911405,0.19633405,0.16764678,0.13819243,0.115088545,0.10264482,0.10015593,0.10413715,0.11362813,0.1302682,0.15517569,0.18410726,0.20982043,0.22583973,0.23110484,0.22849667,0.22230868,0.21438561,0.20361684,0.18779375,0.16692723,0.14528291,0.12992087,0.12732224,0.13926451,0.16166161,0.1864547,0.20616509,0.21677166,0.21798883,0.21120481,0.19816388,0.18047406,0.1597173,0.13765237,0.11619002,0.097523,0.08356318,0.075695135,0.07399241,0.07700435,0.08179315,0.08603579,0.09064587,0.10064861,0.12103379,0.1490671,0.17263784,0.17679,0.1574531,0.12367862,0.09159797,0.07111922,0.06367799,0.064522885,0.06872537,0.07260693,0.07424952,0.07331925,0.070859514,0.06916148,0.07063058,0.07665777,0.08593327,0.09505678,0.10048944,0.101115234,0.0985216,0.09556988,0.094419144,0.09553345,0.09777551,0.099393584,0.09906772,0.096759014,0.093614556,0.09139201,0.09131508,0.093148015,0.09494298,0.09422228,0.09059272,0.08770653,0.0926094,0.110494375,0.14005935,0.17236161,0.19752802,0.21087927,0.21584785,0.21854366,0.22255568,0.22569211,0.22308232,0.21066745,0.18903579,0.16302215,0.14066468,0.12776653,0.12556785,0.1286916,0.1312202,0.12992948,0.12889427,0.13534035,0.15756668,0.19618796,0.24362211,0.28344366,0.30348244,0.30061078,0.28417596,0.26484793,0.24988069,0.23938204,0.23057921,0.21948309,0.20339651,0.18279187,0.16308072,0.15359086,0.16166757,0.18800682,0.22489886,0.26203927,0.29080412,0.30743548,0.31112885,0.30340716,0.28740302,0.2675824,0.24858437,0.2333312,0.22247966,0.21429998,0.20654364,0.19760858,0.18762565,0.17759018,0.16899262,0.16328311,0.16145658,0.16283865,0.16493134,0.1657762,0.16594495,0.1680187,0.1725213,0.17686814,0.17769296,0.17527173,0.17357087,0.1768981,0.18631263,0.19918448,0.21160172,0.22053094,0.2249959,0.22564112,0.22401614,0.22170468,0.21962665,0.21851163,0.21970624,0.22642972,0.24173029,0.26476792,0.28713092,0.2970527,0.2876357,0.26423422,0.23952156,0.22459726,0.22101128,0.224095,0.22773738,0.22913311,0.22796305,0.22561939,0.22363071,0.22307378,0.22433901,0.22733718,0.23194127,0.23744161,0.24267738,0.24632077,0.2481746,0.2491327,0.2503767,0.25201914,0.25305888,0.2523458,0.24950053,0.24497962,0.23931181,0.2329386,0.22605564,0.21893753,0.21135981,0.20283861,0.19281536,0.1815403,0.16995919,0.15931924,0.15024246,0.14247377,0.1349981,0.12702489,0.11860919,0.11094814,0.10558606,0.10352773,0.10452657,0.107098006,0.10936726,0.109926246,0.108629964,0.10611814,0.1033912,0.10086285,0.098617375,0.09633567,0.09401589,0.09342384,0.098665975,0.11576196,0.14431824,0.17558186,0.19243169,0.18622416,0.16035391,0.1310859,0.11108022,0.10595167,0.11146479,0.12049332,0.124804795,0.12028789,0.10804117,0.09468466,0.08781886,0.093330435,0.11225536,0.14048634,0.16922398,0.1891676,0.19459008,0.18571162,0.16850127,0.15156782,0.14195594,0.14010341,0.14066182,0.13737659,0.12959765,0.122427166,0.12299601,0.13491555,0.15683728,0.18317366,0.20777036,0.22594589,0.23539583,0.23493262,0.22414498,0.20428587,0.1796838,0.15716003,0.14327405,0.14045872,0.14624715,0.15491627,0.1612466,0.16180243,0.15537125,0.14246579,0.1259863,0.110391736,0.09985586,0.09509126,0.093535416,0.090917856,0.08532661,0.077175096,0.0691687,0.063852824,0.064233094,0.07229363,0.088510394,0.109964274,0.1319838,0.14978363,0.16092265,0.16475862,0.1618856,0.15288115,0.13852295,0.12018759,0.10028996,0.08204541,0.0684217,0.061440136,0.061553087,0.06752926,0.07615722,0.08296301,0.084042855,0.07828458,0.06807875,0.05766887,0.050419956,0.047030583,0.045883562,0.04478325,0.042750258,0.040947493,0.04236162,0.05021739,0.065498985,0.08567438,0.10529638,0.11894461,0.12308407,0.11730867,0.103369825,0.08489117,0.06584664,0.049747627,0.038522374,0.032921705,0.03331298,0.040177375,0.05319799,0.069711775,0.08445993,0.09180475,0.08894781,0.077500075,0.061976578,0.046984036,0.03522047,0.027388675,0.022925993,0.020817235,0.019957967,0.019505901,0.019019507,0.018540105,0.018324802,0.018551463,0.019058686,0.01951758,0.019934,0.021055916,0.024116484,0.029645743,0.036748696,0.043233242,0.047467202,0.049583256,0.05209132,0.05832566,0.07042754,0.08769972,0.106766604,0.12364321,0.13507235,0.13961427,0.13770251,0.13235328,0.12758736,0.12553246,0.124382995,0.12055474,0.11290342,0.104182445,0.098380916,0.096255004,0.09501851,0.090673424,0.08268648,0.07358873,0.06752444,0.06653533,0.07114759,0.08071001,0.09439122,0.11047921,0.12667497,0.14092176,0.15209109,0.15998782,0.16500072,0.16731791,0.16599041,0.1581734,0.14130194,0.116038054,0.08872267,0.06851303,0.06280592,0.07249547,0.09225168,0.11390054,0.13127609,0.14256658,0.14928794,0.15427749,0.1600159,0.16837926,0.1794449,0.19100763,0.19926219,0.20082538,0.1939544,0.1779443,0.15346955,0.12311995,0.09242036,0.066998124,0.0503924,0.04262206,0.04302339,0.050932925,0.065145314,0.08115265,0.09276085,0.095718116,0.091687776,0.08645544,0.084733166,0.08563342,0.08389196,0.07522751,0.06108797,0.048604082,0.04698245,0.061637968,0.09099337,0.12615435,0.15680926,0.17690621,0.18746404,0.19290131,0.1966637,0.19932838,0.19995481,0.19796373,0.19375396,0.18818325,0.18122919,0.1714685,0.15782921,0.14242713,0.1309257,0.1282054,0.1335318,0.14030798,0.1409667,0.13205819,0.11524338,0.0951207,0.07639571,0.06233949,0.054504808,0.053558823,0.06112932,0.08012942,0.11270881,0.15575345,0.2002657,0.23505616,0.25413725,0.25863335,0.25478113,0.24852006,0.24391298,0.24242711,0.24354869,0.24488896,0.24393715,0.24047308,0.23722391,0.23785476,0.24299614,0.2489074,0.2493246,0.24082808,0.22563909,0.21106637,0.20382337,0.20572269,0.21290763,0.21997654,0.22460027,0.23084557,0.24986076,0.2977583,0.3835872,0.49647427,0.5996281,0.650076,0.62557334,0.5408646,0.43499103,0.34443188,0.2853077,0.25258836,0.23382336,0.2190065,0.20518951,0.1929332,0.18402284,0.17965126,0.18054998,0.18546973,0.191157,0.19513552,0.20213413,0.22748224,0.2901148,0.395121,0.52080244,0.62399316,0.6663918,0.637906,0.56272817,0.48027292,0.42109552,0.3918543,0.37960008,0.3685733,0.35280636,0.33689916,0.32607815,0.3202789,0.31525567,0.30795333,0.29821572,0.28721926,0.2771567,0.27470043,0.29424232,0.3504205,0.4427693,0.544847,0.6160005,0.62766093,0.58228654,0.50809246,0.4370743,0.38722062,0.35933673,0.345083,0.33670056,0.33062586,0.32731763,0.3273696,0.33060303,0.3349742,0.33839378,0.33892748,0.336277,0.3311039,0.32498804,0.31919065,0.31450197,0.3108327,0.3073,0.30266908,0.295885,0.28716993,0.277653,0.26932994,0.2631301,0.25913942,0.25552973,0.25015244,0.240521,0.22677381,0.21214439,0.20182025,0.19774045,0.19657959,0.19351698,0.18924479,0.19139995,0.20855613,0.24095197,0.27794185,0.30303314,0.30544057,0.2869482,0.26053214,0.2401606,0.23253985,0.2356833,0.24380894,0.2513716,0.2548423,0.25222078,0.24406523,0.23333426,0.22547047,0.22545408,0.23514628,0.25105202,0.26577604,0.27295744,0.27137515,0.26621613,0.26356938,0.26617363,0.27092028,0.2735877,0.27261642,0.2736777,0.28910646,0.33419225,0.41386867,0.511791,0.59128016,0.6176815,0.581676,0.50484586,0.4219682,0.35835293,0.32110012,0.3033729,0.29572368,0.29121765,0.288473,0.28833792,0.29308835,0.30238006,0.31402513,0.32357517,0.32794008,0.3273399,0.3283267,0.34443393,0.39091197,0.47139168,0.56629944,0.6356888,0.6450096,0.58844835,0.49683186,0.41247535,0.3639977,0.35026836,0.35281727,0.3526907,0.34383813,0.3299645,0.31677374,0.3056482,0.29533625,0.2848487,0.27553412,0.26932973,0.26960742,0.2826928,0.3201252,0.39116833,0.49084166,0.59198076,0.6552153,0.65485746,0.59490854,0.5083999,0.42979336,0.37940398,0.35442448,0.34474668,0.3395907,0.33556807,0.33152184,0.32885087,0.327721,0.32833108,0.32882476,0.32734594,0.32202947,0.31325236,0.30275854,0.2928419,0.283918,0.27460688,0.26275274,0.24767165,0.2321501,0.2253599,0.24402983,0.30485967,0.40831387,0.5265208,0.6103523,0.6192608,0.5465874,0.42656657,0.30856597,0.22921036,0.19343983,0.18375851,0.1796396,0.17385651,0.17312957,0.18750738,0.21945493,0.2596061,0.2917224,0.3031585,0.29307404,0.2746494,0.26954207,0.30114666,0.3804355,0.49445167,0.601466,0.6525884,0.62157506,0.52278644,0.39925483,0.29314333,0.2262727,0.19658107,0.19116895,0.19594397,0.20190166,0.20427555,0.2018758,0.19603503,0.18972327,0.18515728,0.18236698,0.18029667,0.1833132,0.20513885,0.26467845,0.36768445,0.4928359,0.5942966,0.62992054,0.5878877,0.49455348,0.39387688,0.3206834,0.2857773,0.27906433,0.2833997,0.28534687,0.2807863,0.2720534,0.26411113,0.25951365,0.25759706,0.25495562,0.24851727,0.23907433,0.23551421,0.25561288,0.3171244,0.42026672,0.53682166,0.61958647,0.6344947,0.5824396,0.49980095,0.42745054,0.38841495,0.3778931,0.3792152,0.3776813,0.3697188,0.35846007,0.34748176,0.33694175,0.32515147,0.31108892,0.29514894,0.27833405,0.2646246,0.26423582,0.29415253,0.36551943,0.46889043,0.56915957,0.62436175,0.6134798,0.54818004,0.4632142,0.38931823,0.34160587,0.31614152,0.30385816,0.29576722,0.28833878,0.28025827,0.27200863,0.26386538,0.2557209,0.24649225,0.23535012,0.22268914,0.21044095,0.20098792,0.19524498,0.1923195,0.18951881,0.18510199,0.17900264,0.17340206,0.17017575,0.16984342,0.1707508,0.17078368,0.16859502,0.16516785,0.16258246,0.16291212,0.16625984,0.1714533,0.17625141,0.17867392,0.17723013,0.17218699,0.16621608,0.16500391,0.17524599,0.19953926,0.23097505,0.2544354,0.25663745,0.23700297,0.20759983,0.18295161,0.169372,0.16410275,0.16108632,0.15622772,0.1490624,0.14094312,0.13454644,0.13175112,0.13320182,0.13697506,0.14020963,0.14079966,0.13882208,0.1359391,0.13431738,0.13540393,0.139448,0.14493808,0.15053709,0.15689032,0.16858758,0.19339085,0.24105056,0.3195744,0.4259096,0.53905654,0.6216702,0.64233494,0.59489894,0.5059802,0.41470376,0.34995103,0.31724954,0.30484506,0.2986363,0.29076493,0.28273225,0.27892265,0.28409564,0.2978292,0.3162093,0.33224773,0.34170875,0.344027,0.34169707,0.33658648,0.3282714,0.3155495,0.2977264,0.2761567,0.25351027,0.23417938,0.22384162,0.22691254,0.2419747,0.25888774,0.26414666,0.25060263,0.22370028,0.19622266,0.17850065,0.17194422,0.17183347,0.17210059,0.16956872,0.16432355,0.16231681,0.17693071,0.22732113,0.32431567,0.45437264,0.575725,0.6397059,0.62252355,0.5396747,0.43436348,0.34670427,0.29588106,0.27677095,0.27506542,0.2778826,0.28011644,0.28149426,0.2839952,0.28908542,0.29699537,0.3055916,0.31162223,0.31239614,0.30877137,0.3048369,0.3053629,0.311893,0.32147062,0.32947013,0.3324509,0.33273384,0.33939627,0.36908543,0.433997,0.52818507,0.6194013,0.6652921,0.6414134,0.5576106,0.45094597,0.35834023,0.29906973,0.26957068,0.25673595,0.2487542,0.24238741,0.24079293,0.24915712,0.26835766,0.29181483,0.30681273,0.30387494,0.28416574,0.2600394,0.24448703,0.24294269,0.25067493,0.2593691,0.2609589,0.2518254,0.23221292,0.2085464,0.1903022,0.1859581,0.19660862,0.2152084,0.23168795,0.23904961,0.23736842,0.23122431,0.22719097,0.22913444,0.23699261,0.24624294,0.2517688,0.25305173,0.25803563,0.28313008,0.34388208,0.4415833,0.55308485,0.6378608,0.66155267,0.61748487,0.5320981,0.44471443,0.38505352,0.35824466,0.35259405,0.3526434,0.3510147,0.3473564,0.34443963,0.3435285,0.34497976,0.3478464,0.3508346,0.35164794,0.35137472,0.35745978,0.38596168,0.44932246,0.5425494,0.63519937,0.6873761,0.6762547,0.6104762,0.524332,0.45155445,0.41066983,0.39755872,0.39923105,0.40275487,0.4040756,0.40333882,0.40141448,0.39648664,0.38734555,0.3745315,0.36059523,0.34724692,0.33800134,0.34185365,0.37392578,0.44266438,0.53573173,0.61807877,0.6525185,0.624676,0.5515086,0.46752203,0.40134498,0.364248,0.35095212,0.35076368,0.3539236,0.35553086,0.35403326,0.35058817,0.34648502,0.3419803,0.33555153,0.3259386,0.31416473,0.3039101,0.2991332,0.30075142,0.30629858,0.3118683,0.3151382,0.31567016,0.31661746,0.32672217,0.36183664,0.43346384,0.53417283,0.62901163,0.6745615,0.6466346,0.5584131,0.44863176,0.35521924,0.296062,0.26762554,0.2576144,0.2555451,0.25772366,0.26466432,0.2778245,0.29512075,0.3095231,0.31112495,0.29457068,0.26538306,0.24069692,0.24408974,0.29532167,0.39708772,0.52514005,0.6322524,0.67444545,0.6379594,0.54981375,0.45519936,0.38831523,0.3557785,0.3445585,0.33987257,0.33460078,0.32973468,0.3270438,0.32737538,0.32933068,0.33193147,0.33379114,0.33418342,0.3336636,0.33852914,0.36173347,0.41697213,0.5027111,0.5941294,0.6498318,0.64128363,0.5694849,0.4682761,0.37588087,0.31766948,0.29375175,0.292465,0.2999715,0.3093896,0.31822646,0.3250946,0.3275175,0.3234165,0.3126992,0.2979928,0.28256848,0.2693917,0.2598184,0.25411662,0.2515361,0.25046304,0.2492075,0.24628873,0.24213068,0.23931849,0.2426482,0.2549709,0.27283657,0.28522196,0.28058088,0.25606996,0.22071989,0.18852825,0.16923593,0.16394551,0.16824466,0.17603604,0.18352617,0.1903718,0.20310444,0.23464663,0.30011502,0.40200678,0.52071464,0.6151428,0.64813787,0.6079936,0.51947904,0.42299986,0.35158753,0.3144318,0.30280074,0.30315232,0.30610928,0.30809757,0.30800775,0.30621457,0.3036467,0.3006946,0.29673427,0.29001537,0.28079903,0.27152887,0.26722702,0.27029875,0.27968583,0.28977117,0.29710588,0.30182955,0.3114198,0.33658624,0.3898455,0.4731001,0.5701823,0.6444468,0.6598101,0.60325474,0.49674603,0.3819747,0.2951526,0.24959804,0.23627229,0.23754524,0.23914848,0.23712415,0.23579444,0.24386418,0.26554263,0.29615214,0.3226775,0.3346243,0.33090022,0.3193991,0.30768606,0.2981688,0.28911412,0.27885604,0.26657674,0.25179437,0.23515673,0.22084732,0.21599972,0.2260952,0.25013313,0.28023955,0.3069823,0.32381523,0.32944068,0.3254814,0.3162152,0.30626544,0.30031848,0.29959646,0.30245116,0.30673638,0.3165383,0.3447231,0.40449467,0.49372664,0.58577096,0.64163893,0.6356187,0.5712581,0.4775666,0.3872254,0.32253435,0.28881443,0.28195056,0.29214686,0.30935934,0.3235272,0.3288583,0.32499456,0.3177254,0.313804,0.31710866,0.3260922,0.33621156,0.34294972,0.3441749,0.34038565,0.3332223,0.3246467,0.31577894,0.30750188,0.30004302,0.29369426,0.2884622,0.2842715,0.2807684,0.27741244,0.27403417,0.27094194,0.26878682,0.26766193,0.26650345,0.264261,0.26120916,0.25992778,0.26245615,0.26810327,0.27289376,0.27316156,0.26826215,0.26075867,0.25392297,0.24955803,0.2476294,0.24701624,0.24683505,0.24678637,0.24709804,0.2474363,0.24691264,0.24464478,0.24101622,0.23752119,0.2356035,0.23529421,0.2351569,0.23325986,0.22846133,0.22078592,0.2112477,0.20078774,0.18976702,0.17770153,0.16446109,0.15084904,0.13878746,0.12973966,0.12404784,0.12073272,0.11882437,0.11786517,0.11814088,0.11997288,0.12333777,0.12780191,0.13273361,0.1375477,0.14142704,0.14356221,0.14334966,0.1411947,0.13799983,0.13490288,0.13240288,0.1310516,0.13117987,0.13295627,0.13539818,0.13704355,0.13692087,0.13570338,0.1347994,0.13470554,0.13415511,0.13143666,0.1264313,0.121283084,0.119403385,0.123858176,0.13554783,0.15229543,0.16862093,0.17872012,0.17913489,0.1709544,0.15854102,0.14711785,0.13989745,0.1360505,0.13231216,0.12582417,0.117726885,0.111777194,0.11227062,0.12066084,0.13598941,0.15465367,0.17275177,0.18655682,0.19447488,0.19609778,0.19217251,0.1835645,0.17197277,0.16017826,0.15159899,0.14864093,0.15104693,0.15627079,0.16114227,0.16339697,0.16186023,0.15604697,0.1464965,0.13466765,0.122392446,0.11060378,0.09939871,0.08870938,0.07901639,0.07106018,0.065293066,0.061948318,0.061609387,0.06558076,0.0750444,0.08942228,0.10585815,0.12024466,0.1299101,0.13447429,0.13565229,0.13502656,0.13321199,0.12941168,0.12277523,0.11333213,0.10280698,0.09390161,0.08944207,0.09071318,0.09664479,0.103275515,0.10568019,0.10044926,0.08805438,0.072257705,0.05775084,0.04750812,0.041871488,0.039453622,0.03854396,0.038396012,0.039440375,0.043187153,0.050777297,0.062233716,0.07541702,0.087363504,0.094897754,0.0964,0.091724075,0.08259485,0.07153312,0.061056092,0.052644406,0.046772268,0.043474853,0.043223664,0.046728987,0.05396815,0.062923275,0.07002476,0.07199364,0.067862935,0.059338775,0.04942261,0.040753234,0.034598608,0.031003354,0.029288923,0.028703025,0.02866563,0.028825795,0.028921308,0.028777733,0.028321443,0.02764187,0.026873494,0.026205966,0.025926692,0.026778296,0.02983442,0.03602259,0.045035228,0.055245727,0.06454366,0.0721019,0.07887063,0.086573325,0.095865585,0.105620615,0.11409863,0.12043315,0.12528126,0.1298391,0.13485713,0.14009483,0.14444315,0.14606647,0.14277922,0.13316227,0.11829743,0.10261822,0.092151694,0.0905728,0.096368484,0.10411657,0.10881367,0.109161586,0.10719622,0.10582861,0.107166655,0.11220912,0.120870896,0.13162248,0.14185016,0.14893924,0.1517905,0.15096258,0.1479524,0.14330982,0.13607158,0.12443328,0.10820768,0.08998268,0.07422294,0.06478589,0.06336149,0.06946871,0.0813107,0.09612035,0.110859804,0.12261424,0.12990884,0.13272679,0.1326793,0.13162966,0.13107759,0.13134716,0.13211708,0.1324151,0.13089605,0.12566306,0.115423955,0.10049125,0.0834288,0.06761811,0.05565018,0.048445698,0.046136603,0.048871864,0.05641028,0.06687976,0.07661942,0.08226672,0.0831669,0.081821926,0.08115414,0.081521876,0.08017019,0.07413379,0.063697286,0.053147558,0.048509613,0.053229894,0.06643227,0.083071135,0.09814206,0.10881803,0.11591903,0.12131504,0.12676765,0.13277821,0.13928826,0.14560752,0.15050447,0.15219052,0.14885963,0.1394162,0.12483483,0.10851562,0.09544604,0.088871,0.08838827,0.09012472,0.09032468,0.087708734,0.08382723,0.080781825,0.07967192,0.080433935,0.08342137,0.0907108,0.10569304,0.1300892,0.16056941,0.18892449,0.20688707,0.21207511,0.20894416,0.20455216,0.2032998,0.2056663,0.21013005,0.21527903,0.21996331,0.22248703,0.2207436,0.21396025,0.204682,0.19771157,0.19653238,0.199373,0.2008425,0.1963709,0.18727265,0.17923182,0.17804037,0.18409745,0.193403,0.20103104,0.20701353,0.2174501,0.24394186,0.2981875,0.382849,0.4838071,0.5701361,0.6109665,0.5929268,0.5301359,0.45269713,0.38861635,0.34981254,0.3320764,0.32529798,0.3217366,0.31883562,0.3156288,0.3109072,0.30405354,0.29605567,0.2891442,0.28393796,0.28057432,0.2820135,0.2986461,0.34451485,0.4247142,0.5238394,0.6067162,0.6395466,0.6104463,0.53913134,0.46050274,0.40370318,0.37683788,0.37122217,0.37339464,0.37512502,0.37433824,0.37154987,0.36653146,0.3590823,0.34931448,0.33889592,0.328605,0.320848,0.32078066,0.3403159,0.38866827,0.46282077,0.53827924,0.58285165,0.5761439,0.5250244,0.45679665,0.39924884,0.36603868,0.3530415,0.34962544,0.34615242,0.34067845,0.33512893,0.33326867,0.33564702,0.3408518,0.3453745,0.34724268,0.3452886,0.34051442,0.33417228,0.3283985,0.32465723,0.32364583,0.32448387,0.32519302,0.32385144,0.31959346,0.31293353,0.30448756,0.2947866,0.28461164,0.27601135,0.27002838,0.2651738,0.257174,0.24364859,0.22563057,0.20675069,0.18912826,0.1737842,0.16350485,0.16457078,0.18352152,0.21976669,0.26275104,0.29611096,0.308848,0.30198053,0.28607103,0.2719309,0.2639008,0.26038575,0.2575824,0.25263876,0.24452537,0.2349598,0.22831635,0.23001413,0.24290073,0.2647706,0.28820813,0.3041723,0.30669048,0.29658282,0.28108203,0.26889202,0.26494697,0.267688,0.27251443,0.27536327,0.2764357,0.2811816,0.30057284,0.34648946,0.41926894,0.5004766,0.55627567,0.5628366,0.5207233,0.45734975,0.40119788,0.36728394,0.35113367,0.34285155,0.3358213,0.32983008,0.32729456,0.32898247,0.33377984,0.3388311,0.34215292,0.34349144,0.34378323,0.34492767,0.35050473,0.36954355,0.41275445,0.48202428,0.56021386,0.61483526,0.6200357,0.57327247,0.4993204,0.4290855,0.38305768,0.36147535,0.3546253,0.3525277,0.35155547,0.35117075,0.35099652,0.34985778,0.34821537,0.34783772,0.35013065,0.35390902,0.3583831,0.3670533,0.3902184,0.43564296,0.49919415,0.5576406,0.5847729,0.56684166,0.5165804,0.45846793,0.41431344,0.389254,0.37864283,0.37464368,0.37302026,0.3716422,0.3700072,0.36784366,0.365425,0.36272272,0.3601152,0.35765007,0.35558963,0.35334027,0.35072458,0.34703064,0.34183303,0.33420303,0.3242286,0.31249487,0.30199683,0.29979578,0.32006094,0.37568113,0.4657046,0.5626592,0.6251355,0.62270904,0.55977255,0.4705809,0.3938984,0.3496512,0.33364818,0.33160222,0.33162403,0.33062866,0.3303485,0.33294913,0.33749187,0.34026083,0.33766374,0.32928264,0.31913283,0.31439725,0.324463,0.35938492,0.42308757,0.50536776,0.57782394,0.60843605,0.58018917,0.50495464,0.41412488,0.33943453,0.29605386,0.27996472,0.27793822,0.27759185,0.27373037,0.26629588,0.25805447,0.2514964,0.24814911,0.24703361,0.24531038,0.24129473,0.24117844,0.2605798,0.31753555,0.41304016,0.5231623,0.60443157,0.6257272,0.5841955,0.5100922,0.4384974,0.39253208,0.3719044,0.36574522,0.36267284,0.3586928,0.35489014,0.3533441,0.3545284,0.35677984,0.35825863,0.35733163,0.35379386,0.34901512,0.3488679,0.36427155,0.40547994,0.47054538,0.537333,0.57406265,0.5604577,0.50477487,0.43648338,0.38476977,0.36082378,0.35775015,0.362735,0.366693,0.36713585,0.36473718,0.36120844,0.35724974,0.35299662,0.3472109,0.33929518,0.32951283,0.32323745,0.3301452,0.3635316,0.42655167,0.50711864,0.57515335,0.60469466,0.5858871,0.53453285,0.47501317,0.42769,0.39765242,0.3798492,0.3668977,0.3554709,0.34614766,0.3397492,0.33518752,0.3300495,0.32223573,0.31089187,0.2963702,0.28022328,0.2647078,0.25189397,0.24182272,0.2329402,0.22291459,0.21181995,0.20160116,0.19567375,0.19576745,0.20114557,0.20822771,0.21267521,0.21234053,0.2084767,0.20478179,0.20411049,0.20745604,0.21353103,0.22019541,0.2243704,0.22374211,0.21726817,0.2073745,0.19978403,0.2022988,0.21831022,0.24170108,0.2583095,0.25686306,0.23872162,0.21605094,0.20128034,0.19789974,0.20187259,0.20682532,0.20854652,0.20489086,0.19642282,0.18739659,0.18481785,0.19369881,0.21184506,0.23056416,0.24119787,0.24168672,0.23763788,0.23679344,0.24340056,0.2544379,0.2627842,0.2621242,0.25341636,0.24485976,0.24973743,0.28079948,0.3458846,0.4406062,0.5439224,0.6225655,0.647798,0.6134379,0.53994566,0.46046698,0.40065643,0.36774132,0.35405043,0.34833825,0.34370765,0.339945,0.33913204,0.34353638,0.35184547,0.36096457,0.3660752,0.36507645,0.35939407,0.3534956,0.35108662,0.3522947,0.35456324,0.3551869,0.353515,0.35072267,0.34808186,0.34672174,0.34630516,0.34526792,0.3404292,0.32974422,0.31460497,0.29943708,0.28890848,0.28414226,0.28296205,0.28138915,0.2766812,0.26843536,0.25975546,0.25820753,0.2763524,0.32625034,0.40890732,0.5051417,0.5808146,0.6060851,0.57414573,0.5050248,0.43022022,0.3745931,0.34563693,0.33713505,0.33811805,0.34058082,0.34139106,0.34036073,0.33792076,0.33501312,0.33273086,0.3324824,0.33367172,0.33490685,0.3350594,0.33556548,0.33847144,0.34397903,0.34958747,0.3522189,0.3514856,0.35171655,0.3620499,0.39409935,0.4526174,0.5281424,0.5929622,0.61769414,0.5879128,0.5182537,0.43927178,0.37885204,0.3457805,0.33301187,0.32932943,0.32803142,0.32822028,0.3305659,0.33510768,0.33998564,0.34179482,0.33723053,0.3253607,0.30963084,0.2957306,0.28815198,0.28701386,0.2889941,0.28992927,0.28683046,0.2784613,0.26523477,0.2502854,0.23873161,0.2353213,0.24064396,0.2507948,0.2598777,0.26420456,0.26353762,0.26135215,0.26121366,0.26540408,0.27160618,0.2765422,0.27709147,0.27648607,0.28380218,0.31535777,0.38256776,0.4810957,0.5810795,0.64258814,0.6394462,0.5787791,0.4941311,0.42143583,0.37936047,0.3648109,0.36524287,0.36920395,0.37193903,0.37263778,0.37169743,0.36960992,0.36692834,0.36405477,0.36034393,0.35528377,0.35199848,0.35984945,0.3927823,0.4575076,0.54363,0.62035775,0.65465665,0.63078094,0.5623299,0.480625,0.41429603,0.37475657,0.35620654,0.34764633,0.34140003,0.33584166,0.3310322,0.3265535,0.32197997,0.31783757,0.31524244,0.31395102,0.31463405,0.3217169,0.347057,0.40217778,0.4873666,0.5806573,0.6467702,0.6565632,0.60730165,0.52281183,0.43742403,0.3757296,0.34339473,0.33169731,0.3284669,0.3262745,0.32368073,0.32186413,0.32109585,0.31990442,0.3161998,0.3090153,0.29918656,0.289309,0.28237805,0.28029487,0.28267923,0.28785977,0.29431602,0.30150425,0.30969474,0.32164255,0.3453078,0.39230332,0.46754882,0.55794585,0.63188267,0.6574337,0.6231768,0.546959,0.46200943,0.39645338,0.35983813,0.34567216,0.34205946,0.34061253,0.33913302,0.33891055,0.3410999,0.3439735,0.34338486,0.33591938,0.32211658,0.30851164,0.30617818,0.32926068,0.38623238,0.47188258,0.5612156,0.62140614,0.62949926,0.5870161,0.5161167,0.44498503,0.39243495,0.36265814,0.34952202,0.34561697,0.34660092,0.3513013,0.35825822,0.3655434,0.37069735,0.37249652,0.37065423,0.36722788,0.3669082,0.37864923,0.41390908,0.479349,0.5671032,0.6500965,0.69437695,0.67865324,0.6095121,0.5161778,0.43166676,0.37539718,0.34820637,0.3408492,0.34301916,0.34832048,0.35342458,0.35625616,0.35598263,0.35251382,0.34697828,0.3406733,0.33488593,0.33065367,0.32800737,0.3267287,0.32544717,0.32346603,0.32006323,0.31566513,0.31128192,0.30871862,0.31022465,0.31548214,0.32050526,0.31815675,0.30462438,0.28305376,0.2616808,0.24745238,0.24110432,0.23932017,0.23815535,0.23647644,0.23468031,0.23541091,0.24454112,0.27461866,0.33695683,0.43164626,0.53453,0.60896915,0.62388253,0.57740694,0.49383187,0.40867206,0.34666944,0.31414554,0.30397847,0.30531123,0.31070158,0.31623128,0.32089838,0.32457772,0.32766446,0.329749,0.3300511,0.32824662,0.3254334,0.32379913,0.32457414,0.32705688,0.3284142,0.32658693,0.32166764,0.31742486,0.32053992,0.34055987,0.38612115,0.456834,0.5361428,0.5925523,0.5981236,0.54578006,0.45850277,0.3712205,0.31155372,0.28416464,0.27905712,0.2826891,0.28827763,0.29448593,0.30238938,0.31210274,0.32191145,0.32826078,0.3282298,0.32205704,0.31374612,0.30769947,0.3056514,0.30580327,0.3050393,0.30038062,0.29034683,0.2756596,0.26054874,0.25115582,0.2520055,0.26232052,0.2770245,0.2902682,0.29893374,0.30220214,0.30092466,0.2966577,0.29201296,0.28881648,0.2873628,0.28624928,0.2853937,0.2887044,0.30638555,0.35119915,0.4287765,0.52624077,0.61217374,0.6523494,0.632075,0.5650409,0.48387146,0.41788557,0.38061213,0.36755738,0.36750612,0.36950052,0.3687853,0.36472318,0.3599247,0.35668644,0.3563997,0.35839525,0.3611031,0.3640751,0.37132993,0.3935597,0.4418784,0.517126,0.5998009,0.65737766,0.66254693,0.6128478,0.53153163,0.4521995,0.397689,0.37105,0.36125836,0.35633907,0.35121155,0.34693196,0.34559253,0.3470784,0.34941038,0.3503679,0.34895548,0.34549358,0.34335718,0.34982085,0.37679708,0.4316821,0.5083413,0.58141804,0.6198938,0.60634357,0.548974,0.47572508,0.41387868,0.37761405,0.3633788,0.3615627,0.36291945,0.36419573,0.3644848,0.36409023,0.36266112,0.3602281,0.35691056,0.35346445,0.35034886,0.3479308,0.34570494,0.34298012,0.33861253,0.3319007,0.32302168,0.31349126,0.30711234,0.3107487,0.33556637,0.39061618,0.47332704,0.5610021,0.6188829,0.6196702,0.5614805,0.46938348,0.37820208,0.313612,0.28070334,0.2698802,0.2673125,0.26532486,0.26351345,0.26568723,0.2738273,0.28379908,0.2867308,0.27461097,0.24893218,0.22216433,0.21563162,0.25044712,0.33511734,0.4539055,0.565167,0.6217751,0.5973976,0.5042348,0.3829882,0.2777703,0.21321432,0.18792582,0.18576904,0.1894738,0.19013034,0.18596733,0.17956036,0.17393856,0.1711661,0.17079733,0.17095333,0.16989946,0.16753884,0.16444655,0.16117729,0.15784846,0.15503292,0.15272932,0.15040903,0.14655842,0.14066876,0.13272406,0.123216,0.11228719,0.10111683,0.092311226,0.088637404,0.09076018,0.09632835,0.10196518,0.10537625,0.10632651,0.10539049,0.103215195,0.10022383,0.097197376,0.09471407,0.092528306,0.089245446,0.08334434,0.07467612,0.064812355,0.056515295,0.05230437,0.054175537,0.062911265,0.07775063,0.09558215,0.11206297,0.123408936,0.128352,0.12799136,0.124634184,0.12023897,0.11575509,0.11109782,0.1056828,0.09908512,0.091437556,0.083602875,0.0769188,0.07279288,0.071718924,0.072680496,0.07334364,0.07150968,0.06652113,0.059556466,0.052659497,0.04733945,0.04399982,0.04213051,0.041239653,0.04139414,0.043509763,0.04867238,0.05760032,0.0700188,0.08473732,0.0993504,0.11022387,0.11330095,0.10632751,0.0908551,0.071844034,0.054860752,0.04324994,0.037552316,0.037048638,0.041188464,0.04970436,0.061355542,0.073304005,0.08164656,0.08337227,0.07778728,0.06685951,0.053946674,0.04220693,0.033383127,0.027657663,0.024278231,0.022369223,0.021398455,0.021188281,0.021760022,0.02311562,0.025046647,0.027013786,0.02839227,0.029204728,0.030518724,0.034260977,0.041409966,0.05135241,0.061732937,0.0709216,0.07844015,0.08535402,0.092594326,0.101064295,0.111067235,0.12248725,0.13420767,0.14463241,0.15187173,0.1547318,0.15313499,0.1489848,0.14486103,0.14203773,0.13849013,0.1309553,0.11863508,0.105968,0.09906676,0.10075298,0.107384555,0.11318051,0.11448673,0.1120325,0.10810877,0.105244845,0.106227316,0.11390785,0.12879401,0.14660169,0.16046886,0.16552526,0.16248451,0.15564167,0.1492085,0.14397548,0.13798459,0.12813626,0.113751166,0.09771574,0.086307995,0.08493479,0.09475994,0.1112077,0.12714212,0.13718228,0.1402853,0.13907911,0.13673447,0.1354108,0.1353283,0.13615851,0.1370272,0.13756676,0.13754356,0.13688993,0.13458012,0.12863506,0.117322795,0.10138299,0.084359564,0.07073287,0.06316571,0.062023703,0.06656501,0.075993836,0.088774286,0.10154607,0.109915234,0.11131883,0.10771746,0.104928724,0.10778121,0.11546137,0.1211051,0.11777916,0.104439564,0.08760902,0.076729305,0.0781895,0.09217317,0.11315235,0.13390099,0.14887892,0.15690072,0.15962642,0.1597352,0.1587619,0.15778105,0.15766712,0.15926921,0.16202159,0.1641217,0.16328804,0.15888548,0.1521114,0.14558549,0.14123125,0.13960557,0.13951212,0.13941056,0.13806488,0.13524999,0.13120918,0.12650052,0.12172696,0.11786619,0.11621875,0.11798919,0.12322739,0.13058016,0.1381194,0.14522092,0.15260832,0.16115482,0.16979487,0.1764365,0.17976265,0.18103324,0.1823684,0.18452634,0.18588834,0.18472378,0.18132204,0.17788042,0.17583172,0.17408174,0.16966057,0.16000497,0.14460386,0.12575482,0.108419515,0.09949544,0.10447494,0.12442998,0.15388207,0.18460035,0.20972778,0.22776957,0.24059278,0.25058156,0.2579243,0.26140153,0.26044074,0.25586846,0.24940087,0.241578,0.2321404,0.22035766,0.20661761,0.19169402,0.17673402,0.1626054,0.15023492,0.1402179,0.13265543,0.12703279,0.12250792,0.118364334,0.11491131,0.11418921,0.11973965,0.13380343,0.15459162,0.17547031,0.18914022,0.1922139,0.18738495,0.18051015,0.17627795,0.17603636,0.1780566,0.18002808,0.18013519,0.17817181,0.17471391,0.1705916,0.16620982,0.16168821,0.15785603,0.15566546,0.15586066,0.15754825,0.16034645,0.1651482,0.17427146,0.18766534,0.20170404,0.21133871,0.21400058,0.21094237,0.20442577,0.19560617,0.18367468,0.16756575,0.14724368,0.12468996,0.1040548,0.08988771,0.08552244,0.09070551,0.10275441,0.11716688,0.13068639,0.14111769,0.14839011,0.15278839,0.15521769,0.15613091,0.15620327,0.155944,0.15584283,0.155949,0.15598463,0.15572949,0.15526925,0.15507615,0.15554744,0.15664221,0.15752475,0.15681781,0.1534893,0.14719242,0.13784444,0.124882884,0.108818024,0.09347102,0.08542389,0.08915921,0.10214844,0.11680045,0.1267309,0.13177907,0.13547306,0.14012569,0.14465347,0.14667584,0.14555095,0.1425411,0.13965623,0.13752079,0.13469034,0.1283705,0.11755738,0.10567237,0.100076586,0.10652087,0.12444472,0.14634901,0.16389562,0.17306109,0.17593221,0.17673011,0.17813452,0.1796624,0.17960364,0.17712812,0.17353521,0.17153203,0.17431264,0.1831004,0.1965946,0.21037535,0.22106509,0.22707742,0.2296465,0.22830416,0.22127153,0.2059771,0.18300958,0.155894,0.12976283,0.10854033,0.09398571,0.08630825,0.0857546,0.09308895,0.10864639,0.13022679,0.15330535,0.17300583,0.18745862,0.19840813,0.20890157,0.22027959,0.23063886,0.23724109,0.23820096,0.23439531,0.22767067,0.2205082,0.2142254,0.20954178,0.20599622,0.20308797,0.20026709,0.19739199,0.19427818,0.19055605,0.18573785,0.17924757,0.1712663,0.16227652,0.15382649,0.14750512,0.14662427,0.15354253,0.16867517,0.18655133,0.20014186,0.20417558,0.199984,0.19186132,0.18394893,0.1773643,0.17202789,0.16816308,0.16671722,0.16823047,0.17219126,0.17702313,0.18114959,0.18349409,0.18427484,0.18435806,0.18483122,0.18604188,0.18773548,0.18930374,0.19008344,0.1894349,0.18633299,0.17928624,0.16618054,0.14570427,0.11875007,0.089339755,0.062775634,0.043030113,0.030900443,0.024696901,0.022105493,0.021595078,0.022563716,0.024521394,0.026622294,0.028149284,0.029720416,0.033836048,0.043132976,0.05832131,0.07705805,0.09636132,0.11394622,0.12893423,0.13994187,0.1460544,0.147353,0.1458308,0.1431039,0.13960029,0.13467921,0.12852794,0.122075774,0.11581877,0.1088746,0.10069362,0.09314599,0.09032755,0.09491715,0.10564014,0.11797293,0.12792327,0.13405715,0.13747378,0.1397603,0.1414356,0.14078766,0.13627242,0.12959144,0.12797022,0.13816799,0.16056325,0.18616791,0.20462434,0.21109469,0.2090079,0.20446499,0.20147622,0.20070966,0.20161086,0.20400731,0.20750798,0.21093543,0.21279383,0.21258402,0.21113956,0.20947312,0.20777448,0.20476453,0.19870098,0.18864238,0.17672516,0.16785406,0.16702841,0.17440797,0.18500234,0.19242,0.19443618,0.19247252,0.18864882,0.18304491,0.17646503,0.1710872,0.16982,0.17198513,0.17474677,0.17503393,0.17320935,0.17093913,0.16937953,0.16715288,0.16185027,0.15208022,0.1394371,0.12909628,0.12715209,0.13716759,0.15655534,0.1786056,0.19580026,0.20434655,0.20383215,0.19620629,0.18330269,0.1668772,0.14845477,0.13018845,0.11406874,0.10151563,0.09264612,0.08688205,0.08345479,0.081621744,0.080562316,0.0793053,0.077463426,0.0755784,0.07528769,0.07797235,0.08386583,0.09133053,0.09823241,0.102802984,0.104510374,0.103408225,0.10007829,0.09546646,0.090830885,0.087206244,0.08492866,0.08378809,0.08344539,0.08381823,0.08493316,0.08658867,0.08816007,0.08877602,0.08788958,0.08557416,0.082681924,0.080315836,0.07949647,0.08048918,0.08286106,0.08551731,0.08741815,0.08772644,0.08612731,0.08255891,0.077517875,0.071776316,0.06639031,0.061928794,0.058609277,0.0563283,0.05551861,0.05674776,0.060371283,0.0655225,0.07070916,0.07456228,0.07762137,0.0824559,0.09235162,0.10732595,0.12281469,0.13255274,0.13542159,0.13664728,0.14312324,0.15642802,0.17331386,0.1898628,0.20454109,0.21630539,0.22307263,0.22305346,0.21702985,0.20822144,0.19945963,0.19094598,0.18055506,0.16653438,0.1502214,0.13643897,0.13118346,0.13761093,0.15354125,0.17217673,0.18654837,0.19368999,0.1956345,0.19626291,0.19803591,0.20065553,0.20268369,0.20287365,0.20127147,0.19849242,0.19528385,0.1918506,0.18789017,0.18284492,0.17624527,0.1684324,0.16062625,0.15423346,0.14975326,0.14658327,0.14384474,0.1409911,0.1375582,0.13299517,0.12716718,0.12129456,0.11812628,0.120143585,0.12791468,0.13839938,0.1474144,0.15149993,0.1508198,0.14730425,0.14337079,0.13959652,0.13541494,0.12977985,0.12246283,0.114218414,0.1066953,0.101905316,0.1018819,0.107875414,0.119441,0.13369413,0.1463372,0.154409,0.1593504,0.16681886,0.18265708,0.20716234,0.23398347,0.25410557,0.26230052,0.2593771,0.24998438,0.23931462,0.23091376,0.22701363,0.2274201,0.23046227,0.23294736,0.23284091,0.22935356,0.2231793,0.2150308,0.20551537,0.19583069,0.18807493,0.18495698,0.18800062,0.19681336,0.208943,0.2208819,0.22930115,0.23196948,0.22848605,0.22018069,0.20986812,0.20085312,0.19516104,0.19190955,0.18701327,0.1765991,0.16093849,0.14704584,0.14384526,0.15580529,0.17788173,0.1999967,0.21364075,0.2170326,0.2133307,0.20726155,0.20210911,0.19918694,0.19778645,0.19686109,0.19603139,0.19666211,0.20051385,0.20864363,0.2199495,0.23133297,0.23885638,0.23983555,0.23420902,0.22457772,0.21534379,0.21077113,0.21295762,0.21981172,0.22666097,0.22900586,0.22584854,0.21892713,0.2111494,0.20433389,0.19914572,0.19519635,0.1921473,0.19004852,0.18946892,0.1905386,0.19238818,0.1937669,0.1937548,0.19307323,0.19236918,0.19249773,0.1927536,0.19354157,0.19466943,0.19601959,0.19507323,0.19008406,0.1817015,0.17421402,0.1719801,0.17630483,0.1849566,0.19432844,0.20202565,0.20703493,0.20940413,0.2092229,0.2074836,0.20550585,0.20531048,0.20765305,0.21246904,0.2176258,0.22065134,0.21924801,0.21356516,0.20588581,0.1996284,0.19741042,0.20007797,0.20658863,0.21464677,0.22207582,0.22792737,0.23223458,0.23452252,0.23328789,0.22718598,0.21709709,0.20603956,0.19784494,0.19455679,0.19602084,0.19979881,0.2034776,0.20557529,0.20615815,0.2051105,0.201234,0.19306676,0.18128298,0.17028157,0.16614008,0.17236269,0.18677749,0.20274983,0.21378821,0.21699756,0.21353942,0.20620131,0.19743961,0.18876217,0.18117006,0.17580497,0.17363852,0.1752913,0.1803218,0.18752693,0.19507985,0.201396,0.20537476,0.20677997,0.20587422,0.20350152,0.2004416,0.19769354,0.19560017,0.19437297,0.19271468,0.18870465,0.17980833,0.16617207,0.15151115,0.14211601,0.14193209,0.14901304,0.15754125,0.16311689,0.16697377,0.17307822,0.18354577,0.19626749,0.20805912,0.21751533,0.22505693,0.23045504,0.23206496,0.2281013,0.21821211,0.2036355,0.18673284,0.17083503,0.16010408,0.15782702,0.16427396,0.17539431,0.18527709,0.18961407,0.18836641,0.18438129,0.18072264,0.1783675,0.17637771,0.17327757,0.16847886,0.16304594,0.15855698,0.15592207,0.15380172,0.15015058,0.14358224,0.13515066,0.12700485,0.121037364,0.11769181,0.11635997,0.11617326,0.11629072,0.11612344,0.115406185,0.114625484,0.11487635,0.116900146,0.12024442,0.12304288,0.12351588,0.12107468,0.117010765,0.1134749,0.11204063,0.112811364,0.114241995,0.11489335,0.113991685,0.1122522,0.110372186,0.10883474,0.10738375,0.10576067,0.103871785,0.101962276,0.10059628,0.10086677,0.10454252,0.11379685,0.12962928,0.15012813,0.16985326,0.18291324,0.18759541,0.18876338,0.19392662,0.20610197,0.22052602,0.22892839,0.22731942,0.21921755,0.21236819,0.2125244,0.21966557,0.22850047,0.23188408,0.22520852,0.20910001,0.18921502,0.17360891,0.16806155,0.17349176,0.18518205,0.19692065,0.20388472,0.20526403,0.20324166,0.20251907,0.2074859,0.21971972,0.23600735,0.25080356,0.25977743,0.26222,0.25993714,0.25529113,0.24995226,0.24425215,0.23715621,0.2265443,0.21173872,0.19555229,0.18468642,0.18557967,0.20014586,0.22387044,0.24871469,0.26722977,0.27557084,0.274274,0.26685676,0.25760666,0.2488606,0.2409346,0.23310663,0.22581285,0.2201838,0.21751213,0.21800178,0.22098736,0.22496058,0.2278084,0.22816817,0.22581299,0.22236688,0.21898681,0.21650846,0.21477433,0.21435815,0.21532935,0.2169822,0.2175132,0.21621592,0.21453716,0.21493506,0.21814977,0.22212704,0.22418688,0.2236411,0.2223056,0.22239429,0.22447734,0.22733285,0.22898926,0.22822338,0.22543429,0.22273739,0.22270839,0.22552508,0.22860439,0.22794409,0.2229041,0.21598595,0.21142793,0.21053769,0.21225522,0.21410616,0.2147923,0.21391226,0.21179777,0.20892255,0.20605753,0.20410329,0.20397782,0.206156,0.21036674,0.21532656,0.21942014,0.22156192,0.22200735,0.22176228,0.22177291,0.22220714,0.22278118,0.22314192,0.22303486,0.22232556,0.2209698,0.21937333,0.21820728,0.21825302,0.21938169,0.22033505,0.21890102,0.21371551,0.20531209,0.1963232,0.1897655,0.18767019,0.19014342,0.19575363,0.20212144,0.20722163,0.21030207,0.21235454,0.21507,0.21947718,0.22483934,0.22926039,0.23090084,0.22938597,0.22571786,0.22151725,0.21769871,0.21395342,0.20895095,0.20149432,0.19180155,0.18224587,0.17636609,0.17687994,0.18296653,0.1902198,0.19260071,0.18773377,0.17877288,0.1727773,0.17356072,0.17857498,0.18080886,0.17601804,0.16624735,0.15822156,0.15837614,0.1690707,0.18804966,0.20982951,0.22875778,0.2411347,0.24559695,0.24256839,0.23360199,0.22200902,0.21119128,0.20341754,0.1984634,0.19831133,0.21062051,0.2511575,0.33063722,0.44227147,0.5526784,0.6214568,0.625436,0.5759221,0.50628304,0.44751224,0.41223705,0.39554867,0.38828298,0.38433877,0.38234115,0.38151196,0.38046706,0.37812266,0.37525585,0.373944,0.37611088,0.38211897,0.39339116,0.41401455,0.45187232,0.5093077,0.57656294,0.6287649,0.64151263,0.60575527,0.5364203,0.46173322,0.40609837,0.3776481,0.3683002,0.3648704,0.35911217,0.35067257,0.34266976,0.3364302,0.33118096,0.32507703,0.3173089,0.30749843,0.29771113,0.29438388,0.31036112,0.35765353,0.4372039,0.52900296,0.60063547,0.6235897,0.5934263,0.52923506,0.46226904,0.41464052,0.39200988,0.38572827,0.38557675,0.38613307,0.3874531,0.39042982,0.39450428,0.398513,0.4018968,0.4052347,0.40822387,0.40958843,0.40747952,0.40221977,0.3959587,0.39141485,0.3888031,0.38673207,0.38427296,0.38570133,0.39999864,0.43718848,0.49733046,0.56563944,0.6147928,0.6216919,0.5812564,0.51134187,0.44018283,0.39011657,0.36737302,0.36483347,0.37114874,0.3779792,0.3817787,0.38262066,0.38208708,0.38139996,0.37976694,0.3750898,0.36629578,0.3566017,0.35458174,0.373381,0.4225923,0.49858317,0.577105,0.6237379,0.6136763,0.5498187,0.45988813,0.37787402,0.32406747,0.298982,0.29146847,0.2905073,0.2910414,0.29273033,0.29606378,0.30081663,0.3058057,0.30966756,0.3107656,0.30863282,0.30667627,0.31490186,0.3476235,0.4124168,0.49918482,0.579288,0.6232815,0.6192467,0.57965547,0.5282598,0.48536298,0.45900097,0.44747397,0.44369447,0.44056687,0.43380663,0.4232534,0.4111149,0.3992671,0.3881276,0.3768841,0.36490288,0.35184184,0.3379856,0.32384455,0.31013012,0.29721233,0.28502443,0.2732774,0.26191783,0.251248,0.24157237,0.23288304,0.22494543,0.21761294,0.21109338,0.20565224,0.20153981,0.19862245,0.1966402,0.195147,0.19394352,0.19308956,0.1928081,0.19317597,0.19395554,0.19482066,0.19555932,0.19610177,0.19648421,0.19660127,0.19641107,0.19569866,0.19450527,0.19293535,0.1915055,0.19058971,0.19047289,0.19100583,0.19199304,0.19302972,0.19373786,0.1936733,0.19277515,0.1913979,0.19043744,0.19080786,0.19318962,0.19754271,0.20331196,0.20931439,0.21409287,0.21561982,0.21228218,0.20343584,0.1912124,0.17869484,0.1686616,0.1602618,0.1521072,0.14371789,0.13811113,0.13724226,0.14057921,0.14479803,0.1482443,0.15171117,0.15710497,0.16437899,0.17162234,0.17648451,0.1782424,0.17769404,0.17645681,0.17570223,0.17562254,0.17572588,0.17446248,0.1701942,0.16185497,0.15208285,0.14629641,0.1493385,0.15979946,0.17072342,0.17518662,0.17182691,0.16454768,0.15782656,0.15389629,0.15216659,0.15108335,0.1484571,0.14294058,0.1351182,0.1286842,0.12882836,0.13806503,0.1536047,0.16818745,0.17719328,0.18457657,0.20523153,0.25682142,0.34580675,0.4562318,0.55328774,0.60294604,0.5924985,0.53652173,0.4649082,0.404042,0.36602005,0.34832856,0.34234416,0.34032592,0.3388926,0.33766225,0.3375074,0.3392342,0.34286502,0.34704006,0.34957564,0.3501359,0.3533449,0.37006903,0.4110495,0.47662243,0.54893446,0.59924173,0.60673434,0.57310396,0.52077824,0.47380087,0.44453418,0.43002558,0.42347267,0.41977897,0.4189025,0.420584,0.42446637,0.42809555,0.43038723,0.4301937,0.4289154,0.42755887,0.42943928,0.4389645,0.46434918,0.5097906,0.5689168,0.62000847,0.6377325,0.6100442,0.5470963,0.47485748,0.41627312,0.38138285,0.36535093,0.35931718,0.35617843,0.35381064,0.35185125,0.3500537,0.3475058,0.34344092,0.33769834,0.3310549,0.32486817,0.32066512,0.31936595,0.32094005,0.32431698,0.32786226,0.33001518,0.32982326,0.32891527,0.3334477,0.35554186,0.40499282,0.47914186,0.554573,0.5996416,0.5928518,0.5390666,0.46279517,0.39201215,0.34205273,0.3137029,0.29994854,0.29398718,0.29238948,0.2941532,0.29947665,0.30825576,0.31857422,0.3262674,0.32713315,0.3211325,0.31209657,0.30541325,0.30319798,0.3055633,0.31083682,0.3179823,0.32484493,0.32971087,0.33157143,0.33154812,0.3312805,0.3315965,0.33200347,0.33171737,0.33080667,0.32982424,0.329191,0.32853803,0.32767352,0.32673684,0.32651424,0.3270742,0.32896987,0.33535025,0.35480762,0.3974956,0.4645853,0.5402901,0.5957842,0.608618,0.57638216,0.51869917,0.46059105,0.42031756,0.40168235,0.39943382,0.4043378,0.4102472,0.41506496,0.4193779,0.42331544,0.42560014,0.42586598,0.424661,0.42342737,0.4229646,0.42646447,0.44159028,0.4759617,0.52843,0.5811067,0.6086462,0.5929412,0.5381727,0.46638933,0.40378475,0.36451936,0.3468111,0.34010413,0.3356825,0.33178994,0.33049953,0.3328013,0.33671138,0.33928296,0.3390081,0.3362669,0.3330911,0.33378994,0.34608456,0.38050047,0.44122624,0.51884776,0.586608,0.6175821,0.5986983,0.54241186,0.47380164,0.41820836,0.38659942,0.377015,0.37871513,0.38231018,0.38296342,0.3817943,0.381072,0.38301077,0.3868619,0.39102677,0.39253163,0.3904307,0.3853338,0.38021365,0.37715563,0.37666658,0.37678346,0.3753642,0.37132883,0.3676218,0.37208232,0.3974088,0.45181084,0.5297201,0.6056189,0.64725226,0.63408464,0.57240057,0.4899164,0.4181863,0.3753835,0.36083603,0.36272192,0.36850238,0.37153777,0.3713372,0.37023965,0.3707485,0.37269554,0.37445667,0.37420273,0.37334645,0.3763347,0.39115492,0.4260327,0.48340616,0.5522329,0.6079814,0.6256497,0.5960544,0.53261095,0.4619155,0.40745768,0.37925926,0.37287104,0.37751746,0.38278234,0.38418737,0.38153616,0.378027,0.3761576,0.37761366,0.38108873,0.3848093,0.3879644,0.3948561,0.41394678,0.45294705,0.5098769,0.56894773,0.606781,0.60601735,0.56678313,0.50603366,0.44717434,0.4065428,0.38808283,0.3854636,0.39032248,0.39658976,0.4022453,0.4069558,0.41144672,0.41629043,0.42145944,0.42596158,0.42810985,0.4286468,0.43181893,0.44759938,0.48343349,0.5377899,0.5923815,0.6230226,0.613992,0.5707444,0.5146728,0.4675287,0.43924698,0.4264741,0.4216328,0.42015877,0.4217554,0.42686272,0.43423232,0.4417672,0.44849858,0.4540724,0.4590826,0.46373415,0.4708799,0.4845291,0.51073056,0.5494695,0.5925336,0.621,0.6188328,0.5821429,0.52562225,0.47079816,0.43398952,0.41808525,0.41648996,0.4206624,0.42538437,0.42906007,0.43186533,0.43411967,0.4364275,0.43872562,0.44064286,0.44071755,0.43835294,0.43359113,0.42797622,0.42261577,0.41837466,0.41491637,0.411958,0.4094441,0.4098885,0.4189361,0.44492412,0.49139187,0.5504837,0.6002684,0.61663896,0.58856326,0.5272209,0.4586768,0.40655705,0.38063666,0.37536457,0.38054073,0.38777563,0.3946059,0.40051055,0.4054928,0.40797982,0.40640667,0.40040958,0.39210364,0.38608137,0.38835093,0.40593758,0.4443302,0.5020385,0.56545013,0.61107874,0.6188376,0.5851577,0.5258772,0.46516743,0.4209151,0.3980541,0.39059246,0.39023232,0.3918264,0.39724526,0.4132215,0.447189,0.4977747,0.5511482,0.5841262,0.58093923,0.54391843,0.49655557,0.46773145,0.47569212,0.51521564,0.5618238,0.58723634,0.57750493,0.53974426,0.493664,0.45765314,0.4396497,0.43774745,0.4446493,0.45291904,0.4576786,0.45808864,0.4565743,0.45592585,0.4575322,0.46027586,0.4632057,0.46615013,0.47160473,0.4836799,0.5077639,0.5444536,0.5854523,0.612632,0.6100722,0.57521105,0.5230144,0.47416452,0.44160175,0.42460847,0.41511568,0.40650484,0.39819968,0.3923719,0.39104068,0.39287218,0.39574015,0.3967704,0.3948469,0.39007115,0.3849045,0.38509986,0.3993127,0.4360242,0.49416313,0.5585139,0.6025356,0.6053187,0.5642949,0.4982295,0.43265796,0.38587788,0.36125457,0.352538,0.35132456,0.35223722,0.35326806,0.35367334,0.35309765,0.3506796,0.3464278,0.34106705,0.33655605,0.33428243,0.33491924,0.33785877,0.34212208,0.34605777,0.34784016,0.3462073,0.3422041,0.3410816,0.3527604,0.38864425,0.45192993,0.5292446,0.59080786,0.6074864,0.5690518,0.4923061,0.40799046,0.34200737,0.3030326,0.28504264,0.27712572,0.27201864,0.2685853,0.2699,0.2785246,0.2929192,0.30596647,0.30966586,0.3009108,0.2845399,0.2691035,0.26055428,0.2591265,0.26139078,0.2640388,0.2655808,0.2657858,0.26466164,0.26249436,0.2601734,0.25881997,0.25854924,0.2584263,0.2571342,0.25462842,0.25198796,0.25133273,0.254336,0.26157954,0.27133283,0.280236,0.28440937,0.28127313,0.26970515,0.25020102,0.22478837,0.19754428,0.17339869,0.15600948,0.14602244,0.14141111,0.13924097,0.13684843,0.13241598,0.12491628,0.11431086,0.10125691,0.08683312,0.072236694,0.05878684,0.047608797,0.03929702,0.03366318,0.030063638,0.027977474,0.027726827,0.03066296,0.03832303,0.05035753,0.06354085,0.072846554,0.07519028,0.07118717,0.06476027,0.059930008,0.059385885,0.06389736,0.07269933,0.08331833,0.092113264,0.09594161,0.09358587,0.08591808,0.074694395,0.061736852,0.048846275,0.037741154,0.02965157,0.025029732,0.024122013,0.027384942,0.034919005,0.04527119,0.055286974,0.06171455,0.063153826,0.060527995,0.055896062,0.05086035,0.04614838,0.04186834,0.038225938,0.035720184,0.03555717,0.039390568,0.048501696,0.062111568,0.07681051,0.08792139,0.092359275,0.090381734,0.084857345,0.07904849,0.07477522,0.072331905,0.07113466,0.07064382,0.07048803,0.070491605,0.07035611,0.06972671,0.0680901,0.06497527,0.059971277,0.053148568,0.045082312,0.03680968,0.029304085,0.023205735,0.018713353,0.015706351,0.013911761,0.012988613,0.012673106]