[0.16800427,0.1803807,0.20602123,0.23431046,0.25472376,0.2611771,0.25384727,0.23813505,0.22234295,0.21512999,0.22134416,0.23827279,0.2545104,0.25687233,0.23918636,0.20741369,0.17346084,0.14716095,0.13260424,0.13244458,0.15082012,0.18916152,0.24081141,0.29085183,0.32619247,0.34247348,0.34511396,0.34135067,0.33592436,0.32982752,0.323243,0.31540468,0.30425045,0.28560248,0.25644645,0.21698177,0.17224681,0.12833463,0.09109539,0.064375505,0.052344915,0.057374652,0.07875704,0.10969599,0.14012824,0.15965885,0.16249292,0.14806318,0.121293075,0.08946619,0.05996883,0.03731976,0.02276732,0.01482121,0.01102927,0.009198055,0.0080018975,0.006917313,0.0058818697,0.0049978425,0.00431981,0.003817641,0.0034085447,0.0030607155,0.0027840566,0.0026044967,0.002479637,0.0023467327,0.0021409357,0.0018560962,0.00151496,0.0011700933,0.0008692835,0.0006469905,0.00050664734,0.00042484383,0.00036781855,0.00033357358,0.0011807844,0.005628578,0.019068098,0.04595773,0.08518339,0.12676646,0.15936919,0.17994255,0.19832717,0.22572458,0.2618861,0.29217243,0.3020089,0.2885561,0.2617425,0.23187809,0.20488602,0.18387257,0.17537522,0.18584345,0.21520954,0.254245,0.28985032,0.31295893,0.3195826,0.30902624,0.2819531,0.24359016,0.20435984,0.17506224,0.15985255,0.15413141,0.15035875,0.14430831,0.13695931,0.13083415,0.12671034,0.123663664,0.121887304,0.12396016,0.13306785,0.14947006,0.16989581,0.1899003,0.20686388,0.22020058,0.22984529,0.23634128,0.24072583,0.24378432,0.2428859,0.23310737,0.21088217,0.17806701,0.14074446,0.105292656,0.075810805,0.054364473,0.042401373,0.04101868,0.04953925,0.06483515,0.08132402,0.09413719,0.100834824,0.10253074,0.101555884,0.10014241,0.09916266,0.09879282,0.09874862,0.09921058,0.100444384,0.103219144,0.108666696,0.11879947,0.13444431,0.15303952,0.16910547,0.17850167,0.18212096,0.1835212,0.18436743,0.1827911,0.17667155,0.16664895,0.15557592,0.14758249,0.14677823,0.15591596,0.17253995,0.19001366,0.20326622,0.21557538,0.23489623,0.26481435,0.29863048,0.32509348,0.33641073,0.33008817,0.30662775,0.26778856,0.22184928,0.18199033,0.16268586,0.16876696,0.19531901,0.23012637,0.26298228,0.2881216,0.3050103,0.31458038,0.31776527,0.31422782,0.3031739,0.28403854,0.25770086,0.22690015,0.195956,0.1691631,0.14930475,0.13640666,0.12871934,0.12389761,0.1212625,0.12157985,0.12622131,0.13461158,0.14366657,0.14845516,0.14442855,0.12944405,0.10505129,0.076309286,0.049550742,0.029486023,0.01734981,0.011491626,0.009191609,0.008273221,0.007607264,0.006909162,0.006345403,0.0062095206,0.0067569674,0.008083203,0.010101664,0.012491786,0.014761773,0.016327739,0.016705737,0.015693652,0.013671414,0.0122899255,0.015386543,0.029244443,0.059976373,0.10825992,0.16536628,0.21567456,0.2464088,0.2549469,0.24863188,0.23502775,0.21723723,0.19487625,0.17218883,0.15814061,0.16165863,0.18361008,0.21680582,0.25124678,0.2808918,0.30593804,0.3307724,0.35849953,0.3859824,0.4020393,0.39398488,0.35635856,0.29718935,0.23249818,0.17708237,0.13684909,0.111757785,0.102012254,0.11129063,0.14197533,0.18913074,0.24073784,0.28440225,0.3138838,0.32926962,0.33258942,0.32403815,0.30241716,0.2677898,0.22348396,0.17511962,0.12949674,0.093680106,0.074814565,0.07682279,0.09763672,0.1281854,0.15762405,0.17765075,0.18509494,0.17946343,0.16249435,0.13895433,0.117818855,0.108437546,0.114916325,0.1331446,0.15487128,0.1731071,0.18515627,0.19086953,0.19111727,0.18720584,0.18107618,0.17455037,0.16841489,0.16263546,0.15714054,0.15257168,0.14979224,0.14942805,0.15174668,0.15698738,0.16496916,0.17389084,0.18034767,0.18131411,0.17727268,0.1721921,0.17047979,0.17296124,0.1770143,0.17878716,0.17545414,0.16510221,0.14835304,0.13105609,0.124654554,0.13909103,0.17434573,0.21820258,0.25539175,0.27721372,0.2852452,0.2855732,0.28381196,0.2827157,0.28341302,0.28521347,0.2850097,0.277824,0.25961193,0.23145044,0.19947338,0.17105842,0.14815891,0.12740657,0.104204744,0.07879639,0.055304673,0.03819024,0.028364813,0.023828886,0.02163069,0.019909749,0.01809031,0.016432492,0.01518359,0.014503728,0.015046519,0.019093541,0.030972876,0.054400563,0.088611245,0.12502947,0.1515189,0.15883331,0.14774203,0.12688178,0.10854944,0.10147387,0.10966009,0.13086237,0.15948452,0.18648107,0.20351295,0.20391512,0.18783705,0.16179873,0.13956802,0.1350836,0.15635045,0.19838603,0.24550362,0.2790513,0.2864127,0.265155,0.22133602,0.16663474,0.1137547,0.0724373,0.046037983,0.032124203,0.025781197,0.022981135,0.021633541,0.020869061,0.020186292,0.019266153,0.017991005,0.01643674,0.0147053255,0.012889559,0.01109625,0.009481909,0.00865782,0.010596663,0.019325351,0.039577227,0.07294068,0.11514581,0.15759896,0.19302768,0.21829347,0.23297127,0.23593993,0.22635107,0.2057928,0.1790361,0.15175891,0.13029489,0.12196106,0.13247599,0.16029976,0.19413882,0.21922861,0.22603746,0.21492684,0.19286025,0.16878347,0.15034889,0.1424612,0.14575101,0.1563856,0.16866358,0.17925143,0.18870245,0.19950853,0.21223265,0.22519255,0.23658203,0.24666695,0.25644,0.26496887,0.26951662,0.26840296,0.26362357,0.25916374,0.25694078,0.25569558,0.25270918,0.24813731,0.24387537,0.24244918,0.24355632,0.2457325,0.24654894,0.24403042,0.23581414,0.22024947,0.19762409,0.1710925,0.14526704,0.123743646,0.107728116,0.09682295,0.09089018,0.09109465,0.09898723,0.11494911,0.13746303,0.16373064,0.19111949,0.21729827,0.24063003,0.2588662,0.26891848,0.26618087,0.24678956,0.21065913,0.16355787,0.115415774,0.07567042,0.05033208,0.041870087,0.051829666,0.08016177,0.12381073,0.17445652,0.22191457,0.25687233,0.27452803,0.27385005,0.2580419,0.23247398,0.20278354,0.1719973,0.1407922,0.10947895,0.080049716,0.05544735,0.037821524,0.02711145,0.021655722,0.019184629,0.01817848,0.018501073,0.021556534,0.02925347,0.042442877,0.060601752,0.08308969,0.11102275,0.14695565,0.19063354,0.23624815,0.27112493,0.28432587,0.26989064,0.23319124,0.18395768,0.13719779,0.104270525,0.09309562,0.10097092,0.1197935,0.1384422,0.1514796,0.15974565,0.16977507,0.18718982,0.21216603,0.23894645,0.25988975,0.27124143,0.27405837,0.27313793,0.27138865,0.267972,0.25741234,0.23561104,0.20294805,0.1654142,0.12947881,0.09883352,0.07401229,0.054525424,0.04023173,0.030681603,0.024908422,0.02158881,0.019648185,0.018266415,0.017376719,0.019341638,0.030279845,0.058033902,0.104795694,0.1613834,0.2092159,0.23414439,0.23622288,0.22937615,0.22719747,0.23478656,0.24865781,0.26428774,0.27892837,0.290482,0.29717538,0.29811195,0.295253,0.2908698,0.2864453,0.28054652,0.2705455,0.25390658,0.23058607,0.20301545,0.17480946,0.1485921,0.12512298,0.10371917,0.0835813,0.06571674,0.053962518,0.054538224,0.07184985,0.10565758,0.14965671,0.19537286,0.23377872,0.25692973,0.2582319,0.23679988,0.20074533,0.16592176,0.14762495,0.15106691,0.16722958,0.17828853,0.16995381,0.14197524,0.108840436,0.08944437,0.094373405,0.1205348,0.1551225,0.18553482,0.2050579,0.214374,0.21665162,0.21540199,0.21280295,0.2112009,0.21248715,0.21703722,0.22327816,0.22806649,0.23030241,0.23110892,0.23416577,0.24087481,0.25061086,0.26124457,0.27260903,0.28483343,0.29570052,0.29967043,0.29257855,0.27680337,0.26121473,0.25375247,0.25493452,0.25876608,0.2592959,0.25593162,0.25119543,0.24861248,0.24998112,0.25592557,0.2629539,0.26395416,0.25265917,0.22967346,0.20332758,0.18214668,0.16957931,0.16356681,0.1632011,0.16981739,0.18496378,0.20514314,0.22436316,0.23763536,0.24523847,0.24942593,0.25244498,0.25387833,0.2527318,0.2470377,0.23579879,0.21970393,0.20339052,0.19365053,0.19537576,0.20783298,0.2246235,0.23839255,0.24381262,0.23968609,0.22709681,0.20993583,0.19308771,0.18161178,0.17778938,0.18132599,0.18991016,0.20109619,0.21263665,0.22292626,0.23065467,0.23496161,0.23503359,0.23070818,0.22227055,0.21083891,0.19741124,0.18293458,0.16832496,0.15507285,0.14481921,0.13803771,0.13368994,0.1298833,0.12580723,0.121671624,0.1182037,0.11524472,0.112396725,0.10924507,0.10600153,0.102795035,0.09965816,0.09650045,0.09336558,0.09055853,0.0883126,0.08705777,0.08735636,0.09091139,0.100556664,0.119671844,0.148805,0.18306637,0.21279438,0.22989042,0.23386024,0.23084778,0.22607668,0.2178287,0.20218182,0.18151194,0.16833518,0.17550604,0.20609434,0.24942625,0.2901024,0.31653377,0.3255844,0.32069334,0.30927828,0.29953372,0.29573658,0.29573485,0.29255927,0.2809519,0.26019454,0.2332621,0.20262057,0.17068298,0.14104219,0.11973577,0.1130091,0.12419629,0.1520388,0.18993075,0.22902851,0.26089278,0.28061205,0.2860662,0.27746317,0.25764796,0.2328202,0.21134806,0.19916672,0.19672358,0.19933148,0.20100099,0.19809966,0.18948036,0.17751537,0.16675341,0.16500145,0.17793976,0.20668067,0.24380164,0.2772694,0.29447576,0.2892532,0.2658076,0.2375312,0.21897632,0.21538813,0.22099704,0.22663586,0.2285973,0.22875322,0.22704117,0.21891224,0.19863851,0.16796291,0.1366707,0.11968943,0.12607126,0.15374905,0.1871726,0.20907415,0.20983906,0.19465208,0.1752401,0.1620748,0.15734392,0.15798783,0.15981892,0.16203181,0.16741486,0.17985238,0.20066531,0.22720192,0.2542765,0.27659467,0.2891897,0.28779873,0.27106473,0.24340369,0.21437822,0.1926227,0.18071926,0.17425357,0.16741256,0.15785308,0.14925747,0.14753915,0.15613858,0.1720146,0.18800072,0.19727361,0.1976759,0.19142222,0.18267952,0.17481585,0.16896641,0.16437335,0.15942569,0.15346201,0.14683394,0.14097059,0.13746387,0.13767026,0.14158632,0.14712141,0.15160377,0.15303093,0.15113465,0.14546578,0.13538611,0.12093186,0.10432198,0.089129716,0.077973,0.071318485,0.06784856,0.0659512,0.06444662,0.062754,0.06067015,0.058252793,0.055726916,0.05341008,0.05159238,0.050365854,0.04947934,0.04839787,0.04657845,0.04382284,0.04061554,0.03831628,0.039635662,0.04872035,0.071014166,0.11052573,0.16546406,0.2243642,0.2692305,0.28651008,0.2781445,0.2608815,0.2521931,0.25535002,0.2593131,0.25209942,0.23404367,0.216724,0.21049283,0.21475063,0.21895172,0.21461326,0.20240462,0.19183417,0.19126879,0.20263366,0.22127832,0.24110954,0.25759622,0.2679308,0.2708218,0.2666563,0.25888398,0.25206655,0.2487865,0.24626166,0.23868941,0.22236551,0.20037673,0.1820374,0.17706567,0.188875,0.21066569,0.22984116,0.23627429,0.22878106,0.21346448,0.19772561,0.18616724,0.18059354,0.18145639,0.18831466,0.19974406,0.21396063,0.22913991,0.24335814,0.2541791,0.25906408,0.2556946,0.24310969,0.2224183,0.1980382,0.17579351,0.16072313,0.15490521,0.15805821,0.16842301,0.18229385,0.1952632,0.20381449,0.20858403,0.21250723,0.21824872,0.22541745,0.23195624,0.23622148,0.2380213,0.23815238,0.23712802,0.2343747,0.22761925,0.21432143,0.19454102,0.17371231,0.16042493,0.16032837,0.16981167,0.17799132,0.17507392,0.16160505,0.14767456,0.14428706,0.15362918,0.16888857,0.18070783,0.18414421,0.17899084,0.16708265,0.15034606,0.13197607,0.11737341,0.112416714,0.119812034,0.13693835,0.15801959,0.17738996,0.19133495,0.19652797,0.19065253,0.17384262,0.15064606,0.12729506,0.108821265,0.096830495,0.09063456,0.08815152,0.087320805,0.087129496,0.088938355,0.09596879,0.11072272,0.13259578,0.158516,0.18682624,0.21927749,0.2570852,0.29604164,0.325783,0.33793214,0.33009565,0.30558208,0.26820272,0.2242214,0.18581474,0.16791935,0.17757934,0.20446552,0.2276849,0.23127891,0.21768476,0.20232232,0.1991911,0.20872802,0.22229297,0.23138988,0.23448522,0.23282355,0.22715205,0.21604024,0.19938402,0.1801519,0.16605829,0.16584903,0.18209322,0.20462044,0.21536411,0.20327538,0.17459454,0.1483378,0.13935232,0.14919423,0.16762882,0.1841702,0.19297837,0.19417162,0.18965173,0.18299943,0.17809258,0.17889869,0.18626685,0.19838978,0.21177419,0.22399665,0.23289175,0.23624736,0.23184443,0.21911989,0.1997265,0.17689382,0.15481438,0.13749684,0.12756921,0.12427479,0.12405959,0.12260745,0.11797231,0.110876225,0.10353873,0.09757331,0.09340781,0.090432175,0.08769893,0.08442176,0.080251746,0.07537881,0.07027911,0.06545335,0.06189728,0.062596135,0.0740777,0.10418522,0.15612186,0.2228908,0.2891328,0.3392336,0.36408284,0.3610815,0.33180383,0.2820456,0.22411932,0.17248929,0.1367027,0.11550373,0.10191124,0.09043447,0.082634,0.0847815,0.10231344,0.1341529,0.17118043,0.20117189,0.21603136,0.21607362,0.20746948,0.19737945,0.19082724,0.1900431,0.19471626,0.20254298,0.2111132,0.21885438,0.22433823,0.2246236,0.21717632,0.20364447,0.19160755,0.18904246,0.19803171,0.21278717,0.22605194,0.23396407,0.2374165,0.23807086,0.23744033,0.23610537,0.23424111,0.23028485,0.22341555,0.21632548,0.21619374,0.22855216,0.2517663,0.27625826,0.2913138,0.2902676,0.27226755,0.24030209,0.20048697,0.16085654,0.12884037,0.10803623,0.09704862,0.09168527,0.08804289,0.08454334,0.081393756,0.080055326,0.08332666,0.096813716,0.12585016,0.17067961,0.22115491,0.26141715,0.27763766,0.26583686,0.23106517,0.1841501,0.13815093,0.105320044,0.09355011,0.10213178,0.1229684,0.14475776,0.16019118,0.16757964,0.16972136,0.16922532,0.16720456,0.16314657,0.15670292,0.14809026,0.13818069,0.12796822,0.11850986,0.1115793,0.10965093,0.11478451,0.12528677,0.13663113,0.14423178,0.14961481,0.15738453,0.17111067,0.1872712,0.20036872,0.20773119,0.2130853,0.22112179,0.23253495,0.2423718,0.24448876,0.23733212,0.22557639,0.21736343,0.21767716,0.22596067,0.23704122,0.24637322,0.252434,0.25632498,0.25884423,0.2582382,0.2508411,0.23313874,0.2045664,0.16880019,0.13424712,0.11267271,0.11423955,0.14027481,0.17933786,0.21247582,0.22477096,0.21313554,0.18532825,0.15243907,0.12355397,0.10325185,0.09223482,0.08795189,0.08685721,0.08618909,0.08487802,0.0826885,0.079514146,0.075404875,0.070917465,0.066910595,0.06380371,0.061347112,0.058990616,0.05655836,0.054263126,0.052383766,0.050912425,0.04963855,0.048348676,0.04694286,0.045419816,0.04379337,0.042100117,0.040433455,0.038962346,0.037842695,0.037059125,0.03643505,0.035746023,0.034905188,0.033952087,0.032996293,0.032098796,0.031594995,0.033189286,0.04058069,0.058496673,0.087696515,0.122694395,0.15241942,0.16898786,0.17089772,0.1637242,0.15308653,0.14307131,0.13500908,0.1294226,0.12582013,0.123480104,0.122055314,0.121679835,0.12258489,0.12465098,0.1275122,0.13091074,0.13576119,0.14595354,0.16717131,0.20205735,0.24406071,0.27893987,0.29449525,0.29001608,0.27580866,0.26231468,0.25283864,0.24493985,0.23848043,0.23695157,0.24234791,0.24995708,0.25113407,0.24077715,0.22448224,0.2188751,0.24777196,0.3237613,0.4349738,0.53762716,0.5878949,0.5680942,0.5050743,0.43882725,0.3978329,0.38120273,0.376276,0.37074423,0.36130285,0.3475792,0.32943794,0.3058789,0.27770653,0.24688685,0.21519272,0.18246233,0.1498632,0.121739596,0.106158204,0.10845882,0.12781356,0.15522999,0.17961816,0.19168071,0.18859303,0.17230983,0.1487056,0.124061674,0.10426264,0.09305055,0.09168304,0.09758536,0.10457624,0.107320316,0.106784634,0.11348677,0.13528739,0.16784412,0.19003123,0.18525326,0.15338123,0.11370958,0.08420225,0.071764074,0.07133227,0.07639718,0.08315251,0.09078219,0.09875101,0.10647113,0.11269549,0.116833754,0.11843083,0.11814322,0.11705785,0.118949495,0.12909238,0.15128203,0.18101996,0.20715432,0.22022463,0.22339292,0.22926424,0.24729745,0.27302036,0.29329768,0.30044475,0.29753396,0.29202422,0.28339267,0.2666143,0.23979294,0.21348079,0.20190232,0.21384692,0.24557836,0.28647026,0.32534906,0.35395738,0.36765626,0.365881,0.354298,0.3417982,0.3358877,0.3373309,0.34187853,0.3441985,0.34242025,0.33734104,0.33015457,0.31955704,0.30389857,0.28662944,0.28172335,0.31056198,0.38325092,0.48188078,0.557338,0.5639319,0.4901911,0.3745823,0.2700378,0.2114439,0.19378638,0.19249992,0.18409894,0.16277564,0.1345493,0.10898939,0.09148464,0.083547436,0.08618914,0.101778984,0.13330926,0.17744057,0.22245027,0.2504327,0.25088146,0.22710414,0.19442196,0.16690361,0.15006065,0.14159644,0.13776967,0.13708347,0.14014316,0.14805421,0.16046773,0.17471862,0.18725328,0.19727539,0.2073123,0.22061037,0.23611677,0.25151637,0.26581845,0.28295463,0.3047786,0.32953,0.35146365,0.36726657,0.37576306,0.3756083,0.3642081,0.34212875,0.31681293,0.29894435,0.2945193,0.30078852,0.3090731,0.3114686,0.30766335,0.31066006,0.34171173,0.41247877,0.50460756,0.57820576,0.6040164,0.59229606,0.57737327,0.57970023,0.5854525,0.5670059,0.51583046,0.44868115,0.3894614,0.34823188,0.32003567,0.29500136,0.26683667,0.23603481,0.20666063,0.1840597,0.17004381,0.16291267,0.1591535,0.15740071,0.15862294,0.1637287,0.17126249,0.17791753,0.18023807,0.17561889,0.16249892,0.14214616,0.11960093,0.10245737,0.09549826,0.09764135,0.103660755,0.111093916,0.12376162,0.14786644,0.18213671,0.21517742,0.23229225,0.22938299,0.21450871,0.20146652,0.19711141,0.20066607,0.2069063,0.21291839,0.21840365,0.22410583,0.22791816,0.22417979,0.20648448,0.17362766,0.13210215,0.093236506,0.06724386,0.060031474,0.0736562,0.10642735,0.15164034,0.19689982,0.22922088,0.24231237,0.24010636,0.23152299,0.22213145,0.21113557,0.19651365,0.1816103,0.17490156,0.18325377,0.20553261,0.23400122,0.26038116,0.28207108,0.30205333,0.32583046,0.35617813,0.3911725,0.42463028,0.4510225,0.46834037,0.47942424,0.4876394,0.49533018,0.5016287,0.50406903,0.49825314,0.47979078,0.4474858,0.4057009,0.36427727,0.33390105,0.32437393,0.34465504,0.39988932,0.48155865,0.55728656,0.5826204,0.52844673,0.40779185,0.26769698,0.15959646,0.108531415,0.10910312,0.13846369,0.17346384,0.1998852,0.21359445,0.21751523,0.21607737,0.21243097,0.20897822,0.20973794,0.2217316,0.24817379,0.28558126,0.32098278,0.34490904,0.3547207,0.35793746,0.36089888,0.3689294,0.387507,0.42623594,0.48815823,0.5569942,0.5957603,0.57128096,0.48077747,0.3590201,0.2512539,0.18536742,0.16160834,0.16893111,0.1986974,0.24753828,0.3085719,0.3696463,0.41865167,0.45140687,0.47189268,0.48665962,0.49935362,0.5078032,0.5048111,0.4798628,0.42602804,0.34730557,0.26238328,0.19720654,0.17276406,0.19661705,0.26496872,0.3642327,0.4716901,0.55352324,0.5823543,0.5524996,0.49003744,0.42945707,0.3946928,0.38602674,0.39303005,0.4026759,0.405826,0.39440784,0.36349764,0.31294128,0.249537,0.18397795,0.1269865,0.085309744,0.061655317,0.05539687,0.06389067,0.08157818,0.10069459,0.112635694,0.11231283,0.09981371,0.080945246,0.064008914,0.058199983,0.07084506,0.10426565,0.15151028,0.19646089,0.22192515,0.21960129,0.19629459,0.16851349,0.15495847,0.16451703,0.19354947,0.22555678,0.24527054,0.24588038,0.23266168,0.21204579,0.18831235,0.1642661,0.1481021,0.14971347,0.17330308,0.21031077,0.24477006,0.2626839,0.25900993,0.2362302,0.20032872,0.15940236,0.12324121,0.10117439,0.09749595,0.10852331,0.12473765,0.13532187,0.13379376,0.11953449,0.09829694,0.08053238,0.07977814,0.10751011,0.16545914,0.24191463,0.31567124,0.36925152,0.3959974,0.40152577,0.39435753,0.38251913,0.37009302,0.36077192,0.35617903,0.35680273,0.35956073,0.36070466,0.35720572,0.34967995,0.3406458,0.33301368,0.3279346,0.32490018,0.32120454,0.31307164,0.29686964,0.27245575,0.24312414,0.21770419,0.21005,0.23965327,0.31545398,0.42178288,0.51064324,0.5346711,0.4779795,0.37414023,0.2732,0.21029301,0.18651871,0.18592066,0.19234742,0.19968468,0.20761599,0.21679337,0.2261471,0.23414932,0.24097101,0.24950604,0.2637061,0.28337526,0.3018658,0.30814096,0.29660654,0.2716155,0.24543051,0.22773242,0.2204349,0.21875243,0.21706142,0.21171685,0.2013806,0.18596645,0.16724749,0.14827639,0.13256729,0.12171499,0.11531698,0.11292705,0.11729949,0.13498534,0.17126705,0.22380626,0.28017676,0.32539415,0.35088754,0.35914493,0.35788175,0.35377288,0.34854147,0.3412696,0.33024874,0.3146026,0.29369614,0.26771185,0.23892964,0.21554013,0.21112223,0.24157941,0.3130053,0.41462997,0.51646537,0.5870647,0.61402375,0.61268693,0.60760355,0.6041934,0.5859074,0.53498966,0.45871922,0.38123834,0.32229856,0.28009853,0.24220122,0.20092793,0.1597626,0.12622945,0.10395921,0.09269365,0.09053934,0.09576138,0.10445463,0.11203659,0.11644169,0.12089028,0.13186951,0.15331328,0.1842832,0.21738668,0.24257928,0.24938536,0.23282598,0.1966631,0.15339337,0.119282655,0.105925255,0.11691344,0.1472136,0.18821877,0.2280323,0.25575492,0.26376998,0.25523248,0.23984678,0.22867839,0.22441284,0.22442807,0.22466959,0.22571148,0.229989,0.23825692,0.2455409,0.24402733,0.22805001,0.19876067,0.16286755,0.12822029,0.10073694,0.08358497,0.07804409,0.0823841,0.09207422,0.10175409,0.1085346,0.11313593,0.11748758,0.123859584,0.13568918,0.16012742,0.20293204,0.26199886,0.323227,0.37010112,0.39433014,0.4008273,0.39962244,0.39734435,0.39494333,0.39224383,0.39130616,0.39511025,0.403762,0.41403806,0.42170238,0.4251201,0.42502674,0.42230165,0.4152689,0.39935493,0.36973158,0.32494745,0.26994765,0.21459353,0.16842975,0.13769971,0.1283767,0.15405321,0.22903796,0.3504063,0.47941026,0.55966717,0.5544073,0.47789836,0.3782705,0.2997212,0.25302926,0.22507101,0.20087393,0.17922509,0.16681647,0.16725455,0.17484479,0.17838393,0.17048156,0.15386339,0.14145786,0.14775918,0.17593114,0.21381037,0.23939192,0.24062729,0.22122253,0.19827633,0.18406959,0.18167426,0.18549538,0.19008888,0.19130005,0.1875093,0.1788326,0.16910088,0.16385923,0.16875567,0.18499334,0.20917153,0.23391986,0.25391996,0.2689334,0.28293446,0.2967094,0.30314925,0.29218674,0.2618348,0.22453819,0.19817638,0.1921535,0.20066877,0.21082525,0.21349466,0.20800848,0.19953983,0.19563001,0.20301951,0.22315045,0.24950154,0.2722114,0.28830194,0.30530286,0.3329187,0.37069607,0.4075681,0.43195236,0.44208875,0.44376,0.44344023,0.44277465,0.44148138,0.43975976,0.4391038,0.4399632,0.44114324,0.44106618,0.43903401,0.43514025,0.4296559,0.42302427,0.41700462,0.41405466,0.41578066,0.42099467,0.42636552,0.42882785,0.42753294,0.42335716,0.41742802,0.40991005,0.40133813,0.39295125,0.38686916,0.38396636,0.38346258,0.3834308,0.38278297,0.38170925,0.3810644,0.38088217,0.3805462,0.37929484,0.37719145,0.37476185,0.37244406,0.37038502,0.3686225,0.3677098,0.36815575,0.3699348,0.37193167,0.3728234,0.37208852,0.37041417,0.3686013,0.36666286,0.3639855,0.36091855,0.3590207,0.359682,0.362311,0.36482945,0.36588058,0.36591974,0.36587563,0.36566892,0.36441937,0.36255416,0.36174464,0.36382174,0.36852336,0.37413803,0.3787721,0.38198423,0.38450184,0.38668862,0.38758376,0.38543084,0.38024282,0.37523448,0.37526795,0.3830763,0.39623562,0.4090087,0.41575286,0.41461787,0.406888,0.39618352,0.38613376,0.3794739,0.3762072,0.37411943,0.37044835,0.36402655,0.35546306,0.34553137,0.33453774,0.32265845,0.31140912,0.30313757,0.29996002,0.30197835,0.30746397,0.3134543,0.31772855,0.31926766,0.31858966,0.31642523,0.3137357,0.31182826,0.31240585,0.31627408,0.32193223,0.32647577,0.32771733,0.32572782,0.3221177,0.31805158,0.31460688,0.3130488,0.31627408,0.32575932,0.34072566,0.3564153,0.36765298,0.3702184,0.36419237,0.35325947,0.343671,0.3395059,0.34024015,0.3419795,0.3418536,0.34065652,0.34050706,0.34155998,0.34116268,0.33701637,0.3301437,0.32509765,0.32661995,0.33597314,0.34889853,0.35860547,0.36019683,0.35473564,0.34754393,0.34446755,0.34783447,0.3559408,0.36445212,0.3694787,0.36979675,0.36797205,0.3675573,0.3707148,0.37606585,0.38155827,0.3865284,0.39257756,0.40113103,0.4113671,0.42113677,0.4283689,0.43245816,0.4333788,0.43133333,0.42696333,0.42167866,0.41764173,0.41649976,0.4181051,0.42045617,0.42074844,0.4178071,0.4121251,0.40556124,0.3993512,0.39389,0.388857,0.3836893,0.37864032,0.3739102,0.37027827,0.36722293,0.364472,0.36136606,0.35806593,0.35462478,0.35073137,0.3464476,0.34146318,0.33631036,0.3307333,0.32528302,0.32062113,0.31780124,0.31776538,0.31963253,0.32231972,0.32348037,0.32276854,0.32021382,0.31712148,0.3144771,0.3124262,0.31116626,0.3097571,0.3084086,0.30677584,0.3055912,0.30530524,0.30597493,0.30770278,0.30961525,0.3123074,0.3158693,0.32161516,0.3298016,0.33969888,0.3492885,0.35549685,0.35838816,0.36007884,0.3647621,0.3719723,0.37724182,0.37515154,0.36526278,0.35361716,0.34659776,0.34665337,0.3489788,0.34724343,0.33774066,0.32277897,0.3081096,0.29882824,0.2968817,0.30078217,0.30761564,0.31417474,0.3179095,0.31735,0.31315807,0.3079082,0.30484524,0.30437824,0.30407274,0.30024454,0.29313347,0.2872971,0.2899653,0.3048927,0.32939264,0.3537533,0.3674345,0.3648242,0.34936583,0.3294243,0.31342685,0.30490652,0.3036143,0.3072672,0.31382158,0.32205045,0.33077216,0.33928242,0.34631196,0.3514113,0.3538445,0.3532869,0.34898448,0.3405913,0.32846937,0.3138932,0.29941025,0.28882265,0.2865702,0.2945325,0.3100599,0.32626498,0.3371974,0.34073004,0.3393683,0.33642757,0.33453265,0.33446178,0.33594868,0.33727145,0.33660173,0.33329964,0.3290861,0.32619908,0.32564867,0.32683465,0.3290535,0.3325308,0.33692476,0.34067836,0.3409821,0.33699954,0.3306043,0.32573518,0.32460964,0.32632568,0.32755622,0.325791,0.32076213,0.31417575,0.30726463,0.29937485,0.28795728,0.27079135,0.24866436,0.226002,0.20944609,0.2036026,0.20879006,0.21974021,0.22918952,0.23089631,0.22298057,0.20698947,0.18659073,0.16557342,0.14717953,0.13343023,0.12481495,0.12075561,0.1204704,0.12367212,0.13005048,0.13877845,0.14852814,0.15907086,0.17160861,0.18788747,0.20746265,0.22744589,0.24319601,0.24996454,0.2432841,0.22207232,0.1918561,0.16546945,0.15440522,0.16036694,0.17233793,0.17814034,0.17476057,0.17158295,0.17856039,0.19625805,0.21466453,0.22354744,0.22050355,0.21034737,0.19866471,0.18726557,0.17496844,0.16012114,0.14351009,0.1295511,0.12432744,0.13030125,0.14180559,0.14868732,0.144994,0.1352504,0.13065743,0.1391505,0.15978044,0.18363476,0.20178498,0.20896335,0.20577858,0.19561093,0.1839966,0.17603748,0.17489243,0.17943245,0.18549241,0.188574,0.18673694,0.18019684,0.17005403,0.15683417,0.14080308,0.12261131,0.10460326,0.09144956,0.08886517,0.100099765,0.122248225,0.146306,0.1619596,0.1637684,0.15402342,0.13947907,0.1263807,0.11712113,0.11180622,0.110279314,0.11334539,0.12128395,0.13311452,0.14611031,0.15714397,0.16378377,0.16659404,0.169446,0.17771097,0.19396876,0.21568392,0.23740153,0.2546824,0.26585436,0.26937786,0.2626588,0.2443301,0.21843511,0.1931384,0.17492338,0.16352446,0.1544165,0.1449336,0.13814396,0.14021896,0.15490298,0.17964019,0.20573433,0.22334921,0.2269076,0.21864505,0.20548892,0.19460471,0.18911727,0.18883355,0.19170226,0.1959272,0.20011826,0.20296675,0.20251065,0.19717546,0.18809937,0.18101256,0.18286003,0.19636594,0.2161224,0.23331349,0.24207711,0.24333817,0.24120378,0.23869516,0.2360797,0.23189509,0.22432391,0.21226422,0.19755979,0.18682744,0.18863042,0.2076874,0.23919427,0.27156153,0.29248214,0.29539624,0.27979615,0.24995281,0.21308099,0.17784138,0.15151276,0.13701321,0.13255501,0.13373154,0.136711,0.13930978,0.14074802,0.14142072,0.14383487,0.15377162,0.17649078,0.212164,0.25147,0.2811501,0.29035828,0.27666733,0.2445152,0.20314068,0.16441059,0.13970214,0.1353087,0.14870928,0.1706094,0.1909341,0.20403437,0.20956719,0.20968495,0.20623966,0.19988233,0.19053693,0.1785626,0.16487719,0.1508011,0.1371556,0.12451514,0.11437022,0.10956358,0.11289075,0.12319112,0.135815,0.14517008,0.15099652,0.15609841,0.16337395,0.17072247,0.17570095,0.17864801,0.1843962,0.19627564,0.21255958,0.22638361,0.23136203,0.22662656,0.21803825,0.21422611,0.21996672,0.23337741,0.2478633,0.2579713,0.26222563,0.26251784,0.2606306,0.2561537,0.24644439,0.22863267,0.20216238,0.17078327,0.14314009,0.13025863,0.14011912,0.17129691,0.21172965,0.24439286,0.25702968,0.24725275,0.221209,0.18750632,0.15376516,0.12491092,0.10376512,0.09041774,0.08305749,0.07905982,0.07657815,0.07484207,0.07364252,0.072841726,0.07227848,0.07195503,0.07197306,0.0723143,0.07274317,0.07291031,0.072626986,0.07194474,0.07110401,0.070372306,0.069876134,0.0695648,0.0691485,0.06828565,0.06669092,0.06438289,0.061651736,0.058926344,0.05649058,0.054357216,0.052357823,0.05030852,0.04814772,0.045932587,0.043841943,0.04227313,0.04268737,0.04796733,0.061801154,0.08439529,0.11036854,0.12944005,0.13456403,0.12588467,0.110798486,0.09652684,0.08664561,0.08054238,0.076642096,0.07404893,0.07278975,0.07309497,0.0746212,0.07669618,0.07918826,0.08287498,0.088714726,0.096347995,0.105128296,0.11559039,0.13076569,0.15250891,0.17884238,0.20318478,0.2199962,0.22769667,0.22909205,0.22716431,0.22454138,0.22382273,0.2275772,0.23524837,0.2415971,0.24002892,0.22851382,0.21501559,0.21691824,0.25422218,0.33357748,0.43691143,0.52471566,0.5627658,0.5455097,0.49891618,0.4555793,0.432389,0.42492834,0.41983888,0.40658855,0.3821901,0.3495468,0.31387815,0.2795211,0.24816275,0.21889001,0.19018517,0.16166751,0.13661158,0.12083682,0.12003791,0.13445115,0.1579467,0.18066482,0.19457984,0.19623129,0.18648426,0.16868074,0.14750075,0.12830222,0.11531051,0.10990172,0.10968864,0.11033393,0.10779595,0.1023514,0.099763066,0.11042062,0.1379521,0.17409365,0.19826494,0.19741833,0.17351812,0.14397301,0.12265729,0.11412346,0.11379961,0.11730359,0.12176436,0.12552387,0.12624086,0.122966535,0.116208605,0.10812557,0.10001319,0.09268541,0.08719861,0.086906254,0.09644582,0.117803484,0.14642046,0.17209125,0.18651538,0.19049133,0.19321541,0.2031126,0.21959782,0.23477904,0.24207415,0.24120335,0.23535836,0.2253731,0.21149069,0.19698031,0.19120856,0.2029752,0.2366478,0.2873056,0.3444214,0.39311635,0.42255226,0.42898378,0.41864085,0.40121338,0.38538626,0.37477753,0.3684239,0.36099234,0.34509254,0.3153253,0.2728908,0.2263674,0.18710667,0.16508208,0.16740648,0.20250683,0.27508405,0.37727216,0.47730264,0.5328662,0.5164742,0.43882814,0.3396885,0.25950083,0.21520638,0.19958073,0.19676222,0.19463368,0.1885399,0.17808962,0.1653087,0.1535955,0.14673226,0.14861466,0.16193527,0.18834682,0.22255687,0.253269,0.26499575,0.2526823,0.22316618,0.19287257,0.17229939,0.16327326,0.16025323,0.15872185,0.15681787,0.15556447,0.15647043,0.1610481,0.16891591,0.1786512,0.1885757,0.19947095,0.21391326,0.23546894,0.26571718,0.30276763,0.33976796,0.36816123,0.382552,0.38482562,0.38177285,0.37946633,0.37946582,0.3791689,0.37530732,0.36538765,0.3493677,0.3284072,0.30509946,0.2804404,0.2571343,0.24259724,0.25465372,0.30799195,0.39903483,0.49454212,0.55680317,0.572243,0.56271404,0.5571487,0.5604555,0.55410624,0.52073336,0.46744213,0.41479382,0.37808156,0.35377035,0.329873,0.29817772,0.26109815,0.22626601,0.19993699,0.18318956,0.17391591,0.1695527,0.16935422,0.17351896,0.18171775,0.19139637,0.19905895,0.20150882,0.19734858,0.18573143,0.16724229,0.14462928,0.1235961,0.1096702,0.10458519,0.10554203,0.10970041,0.11836955,0.13741796,0.16797142,0.20183204,0.22193366,0.21842943,0.19503176,0.16777742,0.14899401,0.14149772,0.13990355,0.1395737,0.13856874,0.13701229,0.13408528,0.12927814,0.122399144,0.11449628,0.10631462,0.098998934,0.09441298,0.0963879,0.10894757,0.13410212,0.16832833,0.20362432,0.22998594,0.24165846,0.23867369,0.22722061,0.21485476,0.2087593,0.2120408,0.22405727,0.23936617,0.25296745,0.26313546,0.27423537,0.29112354,0.31528327,0.34218538,0.36646497,0.38462663,0.39676282,0.40285477,0.4032961,0.3989549,0.39336672,0.38995457,0.3904406,0.39263085,0.39239225,0.38467118,0.36691082,0.34000853,0.30983043,0.28385785,0.2678196,0.2647848,0.27884135,0.31922626,0.38952485,0.47521493,0.5355112,0.5305702,0.44884992,0.32392833,0.20682871,0.13587886,0.11670077,0.13314615,0.16297378,0.19057202,0.20869891,0.21700643,0.21811004,0.21529557,0.21158345,0.21138835,0.22080569,0.2440521,0.27833077,0.31312406,0.3370745,0.3465691,0.34673083,0.34578124,0.3492795,0.3620168,0.39160517,0.4435397,0.50969607,0.56039447,0.5604031,0.49376726,0.38116857,0.2643312,0.17897755,0.13648137,0.13071416,0.15350538,0.20013125,0.26449707,0.33191463,0.3857176,0.4157268,0.4253435,0.4244664,0.42192075,0.41916218,0.4112018,0.3900526,0.34979138,0.2928621,0.23167694,0.18490344,0.16733511,0.18436415,0.23288019,0.307516,0.39911422,0.4891233,0.54880315,0.5560656,0.5130803,0.44735536,0.39008304,0.35578927,0.33979192,0.33085266,0.3221085,0.31145146,0.29801813,0.27979824,0.2555065,0.22485983,0.18936564,0.15225036,0.11973531,0.09894565,0.09389495,0.101811774,0.11452145,0.123435736,0.123676874,0.11497104,0.10007105,0.083842315,0.07277833,0.07333937,0.08910497,0.11710727,0.14856175,0.17226,0.18124323,0.17570724,0.16330695,0.1556213,0.16246307,0.18557854,0.21557796,0.23863071,0.2455547,0.23757482,0.22003157,0.19776048,0.17337805,0.1537882,0.14875655,0.16571735,0.20060444,0.23861086,0.26203084,0.2605499,0.23521496,0.19548045,0.15376334,0.12131194,0.10526221,0.1070464,0.12134355,0.1384337,0.14798182,0.1438079,0.12598343,0.10155239,0.082925744,0.0854569,0.119550794,0.18300974,0.2576103,0.31996873,0.35606718,0.36942092,0.37334883,0.37853524,0.3859553,0.3905128,0.3875388,0.37796065,0.3666753,0.35927406,0.35688767,0.35727325,0.3572899,0.35693374,0.3580643,0.3621054,0.3674914,0.3696852,0.3624271,0.34105417,0.30563092,0.26245558,0.2229991,0.20278873,0.2208199,0.28721893,0.3902452,0.48580948,0.5260572,0.48844346,0.39904305,0.30375373,0.23948532,0.21157725,0.20814066,0.21420665,0.22236623,0.22949867,0.23453008,0.23682494,0.23715776,0.23729639,0.24001761,0.24790327,0.26130617,0.27585074,0.28364718,0.27859274,0.2621983,0.24255675,0.228458,0.22302675,0.22409703,0.22722177,0.22868799,0.22545193,0.21550263,0.19892006,0.17895265,0.16062795,0.14788844,0.14171201,0.14208768,0.15170361,0.17740716,0.22362125,0.2852229,0.3450055,0.385443,0.39946386,0.39516577,0.3857365,0.3801768,0.3792825,0.37951615,0.37755847,0.3709922,0.3574512,0.33309445,0.29617402,0.2511275,0.21283913,0.20170629,0.2353785,0.31298587,0.4118705,0.49382815,0.5339501,0.53586173,0.52683324,0.52550274,0.5249841,0.5049153,0.4579389,0.3983775,0.34484255,0.30312374,0.26591903,0.22659677,0.1874755,0.15614447,0.13741146,0.13026784,0.13022579,0.13340771,0.13645835,0.13831617,0.13907747,0.14265893,0.15310682,0.17345013,0.20144798,0.23007385,0.2488869,0.24873489,0.22653262,0.18821247,0.14684214,0.11737215,0.10901144,0.122867405,0.15274976,0.19068359,0.22718625,0.25353748,0.26266262,0.25612837,0.24197488,0.23060542,0.22537024,0.22421773,0.22323583,0.22275923,0.22514431,0.23154843,0.23777224,0.2373745,0.22563416,0.20352298,0.1754129,0.14604442,0.11925729,0.098318525,0.08636732,0.08391889,0.088826686,0.096770756,0.10428596,0.10983187,0.11448672,0.12278532,0.14270516,0.18422109,0.24953301,0.3275598,0.39394042,0.4296557,0.43257496,0.41892028,0.40593973,0.40053895,0.39930534,0.3966181,0.39110386,0.38420764,0.37875852,0.3764768,0.37773767,0.38128635,0.38460287,0.38599896,0.38432288,0.37897325,0.36728808,0.34593192,0.31297752,0.27139106,0.22781044,0.19067295,0.17002334,0.18125118,0.2394528,0.34402648,0.46199307,0.5405627,0.5410123,0.47034895,0.37186012,0.290355,0.24178857,0.21621174,0.1983199,0.18337172,0.17574692,0.17863874,0.18824251,0.19502275,0.19187136,0.17983882,0.16929267,0.17376792,0.19779824,0.23320131,0.26107204,0.27030957,0.26187804,0.24931268,0.24174541,0.24083175,0.24050228,0.23599106,0.22609979,0.21320133,0.20065282,0.1908419,0.18533652,0.18509854,0.19079114,0.20093654,0.21172462,0.21908176,0.2222117,0.22337876,0.223872,0.22046544,0.20899664,0.19137931,0.1778578,0.1789658,0.19525366,0.21716595,0.23337363,0.23979326,0.2378065,0.23106748,0.22317106,0.21901554,0.22224383,0.23227797,0.2467283,0.26603672,0.29433432,0.33139738,0.36840305,0.39299366,0.40034518,0.3970561,0.3935956,0.39561448,0.40078124,0.40489125,0.40584826,0.40516695,0.40399432,0.40247548,0.39969957,0.39604923,0.3922763,0.3891877,0.38667142,0.38504568,0.3850923,0.38742304,0.39106846,0.39367795,0.39335552,0.39030477,0.3863002,0.38308474,0.38069507,0.37854955,0.37640652,0.37508512,0.3752402,0.37626243,0.37706363,0.37689218,0.37641954,0.3763986,0.37704048,0.37772658,0.37795135,0.37787285,0.37807962,0.3788906,0.38043118,0.38262537,0.38557005,0.38876688,0.39127406,0.39203265,0.39057767,0.38720822,0.38248467,0.3771368,0.37192032,0.3680055,0.36658767,0.3683369,0.37240317,0.37682858,0.379769,0.38092458,0.38131085,0.3817482,0.38240126,0.38276568,0.3829696,0.38284576,0.3822733,0.38071474,0.37853897,0.37666544,0.37638438,0.37809333,0.38093528,0.38226962,0.37939516,0.37120903,0.3605921,0.35256013,0.3516377,0.35814357,0.36875835,0.37864146,0.38447514,0.38547352,0.3828185,0.37840113,0.37345505,0.36843812,0.36354184,0.35958695,0.35721874,0.355989,0.3539348,0.3497559,0.34397838,0.3390585,0.33675265,0.33737186,0.33955407,0.34211338,0.343967,0.34490302,0.34478107,0.34382617,0.34147796,0.3370695,0.3307171,0.32430133,0.32026014,0.31945357,0.32085106,0.32245716,0.32300436,0.3218733,0.31944975,0.31693682,0.31596306,0.31745842,0.32064867,0.32402596,0.32585475,0.32566497,0.32345057,0.32068953,0.31924018,0.3212236,0.32633868,0.3320611,0.33491507,0.33396098,0.3309975,0.32868052,0.32745615,0.32597026,0.32305014,0.32010698,0.3195912,0.32282743,0.32794213,0.33179566,0.3320819,0.329155,0.32519123,0.32297075,0.32425836,0.3290324,0.33518693,0.33994994,0.34150073,0.34066653,0.3396618,0.34040928,0.34232417,0.34350404,0.3418912,0.3372289,0.33021435,0.32276466,0.31666243,0.3138593,0.31474128,0.31829417,0.3220953,0.32393047,0.3233128,0.32146597,0.32097104,0.32324782,0.32820344,0.33352616,0.33678058,0.33652353,0.33370128,0.33059204,0.329339,0.33037013,0.33288848,0.3356779,0.33798409,0.33893237,0.33777186,0.3341616,0.32905757,0.3241401,0.32074592,0.31924108,0.31900978,0.31947926,0.31988817,0.31986615,0.3191732,0.31820294,0.3176126,0.31756783,0.31786057,0.317675,0.31673527,0.31493047,0.3127245,0.31073442,0.3095023,0.3093141,0.30967423,0.30977568,0.30889568,0.30709732,0.30571416,0.30610493,0.3090122,0.31307414,0.31636992,0.3175551,0.3172154,0.3174095,0.32015267,0.3263575,0.3345317,0.34149086,0.34425664,0.34277093,0.3405012,0.34106946,0.34485734,0.34800223,0.34683856,0.34127083,0.33546337,0.3332921,0.33535102,0.3381385,0.3375188,0.33120206,0.3205129,0.3091016,0.30178997,0.30187562,0.30990002,0.3224621,0.33435312,0.34103975,0.34143758,0.33783177,0.33396897,0.33244857,0.33294904,0.3330381,0.33021054,0.3243771,0.31849346,0.31678852,0.32206103,0.33254614,0.3429046,0.3469641,0.3428081,0.333267,0.32383144,0.31841335,0.3178742,0.32098854,0.32604527,0.33176494,0.33725002,0.34188163,0.34559855,0.34809265,0.3490235,0.34745,0.34328422,0.33720505,0.33079267,0.32548416,0.321995,0.3205955,0.32104072,0.32304418,0.32570553,0.32805574,0.32942438,0.32984635,0.32996404,0.33019814,0.330956,0.33205774,0.33343554,0.33460066,0.33551237,0.3359374,0.33577028,0.33443365,0.33186042,0.32869196,0.3265659,0.32685795,0.32975864,0.3334869,0.3353043,0.3332356,0.32802632,0.32277432,0.32064366,0.3224297,0.32627478,0.32986817,0.3319138,0.3327119,0.3327483,0.33183062,0.3277022,0.31583503,0.29185253,0.2557978,0.21551251,0.18326928,0.16847825,0.17137294,0.18382747,0.19601935,0.20183413,0.20060436,0.19356501,0.18201435,0.16642743,0.14817172,0.12953803,0.113550454,0.103194654,0.10135191,0.10921321,0.12473229,0.14219116,0.15597504,0.164887,0.17252493,0.18356468,0.19866703,0.21516664,0.22808354,0.23225851,0.22208811,0.1961323,0.16154394,0.13393806,0.12657475,0.13969551,0.15838765,0.16688024,0.16162212,0.1551496,0.1607286,0.18004204,0.20080924,0.21076888,0.20703004,0.19616513,0.18504311,0.17521173,0.16338545,0.14658274,0.12696737,0.11295602,0.11254939,0.12591179,0.14170374,0.1477723,0.14021294,0.12849787,0.12434948,0.13397585,0.15291572,0.17286731,0.18617159,0.18972056,0.18359686,0.17131616,0.15848428,0.1510968,0.15118308,0.15612762,0.16064398,0.16157074,0.15855114,0.15285663,0.14497314,0.1347694,0.12198765,0.10700529,0.090784766,0.07524354,0.06297863,0.056328896,0.05594478,0.060107082,0.06582215,0.07026303,0.07221147,0.07173332,0.06976169,0.06703391,0.06404843,0.06081977,0.057366673,0.053678587,0.05001564,0.046654288,0.043928195,0.042720556,0.045360282,0.05620773,0.07889063,0.1129692,0.15148227,0.18534653,0.20787561,0.217463,0.21372743,0.19689977,0.16961573,0.14067358,0.119922854,0.11181662,0.11093822,0.109565556,0.10417688,0.10013983,0.10539329,0.12553225,0.15707679,0.1899535,0.21154524,0.21613844,0.20651947,0.19156943,0.17863394,0.17087393,0.16785038,0.16816716,0.17071588,0.17423202,0.17680453,0.17519741,0.16682334,0.15257788,0.13887934,0.13402478,0.14218213,0.15974778,0.17897232,0.19370212,0.2027452,0.2077443,0.2105118,0.21133685,0.20940255,0.20328581,0.1923936,0.17895211,0.16809452,0.16473317,0.16895348,0.17569952,0.17869698,0.1748551,0.16419595,0.14768724,0.12655388,0.10391786,0.08481293,0.07333534,0.06945914,0.06951472,0.069492795,0.06798931,0.06600725,0.06541821,0.06818014,0.07715744,0.095695205,0.12500872,0.1610394,0.1945645,0.21543379,0.21711604,0.19972642,0.16903198,0.1352993,0.10882071,0.09712112,0.1008556,0.115622856,0.13364954,0.14880596,0.15746816,0.15980351,0.157726,0.15374808,0.14906012,0.1432724,0.13533063,0.124667175,0.111863814,0.098023154,0.085448496,0.07793207,0.08102131,0.09766396,0.12549444,0.15622008,0.18208043,0.19975656,0.21038108,0.21531074,0.21483551,0.21038283,0.2056907,0.20447503,0.2067409,0.20831014,0.20500433,0.19701202,0.19011487,0.1907032,0.20073514,0.21574025,0.22959785,0.23872273,0.24387865,0.24678518,0.24804582,0.24584468,0.23796155,0.222439,0.19926055,0.17044671,0.14189485,0.123102896,0.12402027,0.14843832,0.18912368,0.23069842,0.2571981,0.2598946,0.23894006,0.20200534,0.16076583,0.12651376,0.10574027,0.09760159,0.09674221,0.097314,0.09657133,0.09418297,0.0909518,0.08745142,0.084042735,0.08100683,0.07844251,0.07628435,0.07421412,0.071965,0.06941681,0.06671989,0.06411631,0.0616994,0.05930522,0.05660537,0.053440586,0.050035134,0.0469795,0.044871014,0.043882042,0.043644156,0.043514952,0.043084007,0.042359296,0.041635633,0.04110326,0.040735003,0.040331498,0.039775133,0.039778907,0.04282926,0.05332294,0.07428507,0.10289502,0.1293086,0.14253214,0.1388253,0.123749435,0.10703376,0.09475384,0.08768087,0.08350798,0.08057245,0.07875352,0.078936465,0.08170461,0.08638257,0.09114062,0.0944391,0.096076794,0.09755373,0.10066248,0.10758641,0.120159395,0.13951617,0.16360547,0.1870895,0.20361842,0.2101355,0.20921922,0.20696588,0.2093377,0.21806087,0.23118113,0.24394174,0.25228083,0.25313863,0.24636258,0.23573029,0.23180313,0.2511523,0.30637226,0.39230946,0.47867703,0.52757376,0.5192644,0.4687614,0.41012773,0.37144044,0.35832512,0.36109295,0.36774302,0.37237576,0.37428668,0.3744763,0.3737218,0.37229696,0.37069234,0.36969241,0.3701496,0.3729608,0.37895933,0.38865563,0.40099418,0.4133247,0.42244455,0.42700055,0.42755112,0.4258587,0.42287573,0.41949567,0.4166846,0.41570297,0.41668108,0.41844568,0.41962573,0.41988662,0.42013273,0.4217681,0.425455,0.43038616,0.4337732,0.4327998,0.42727184,0.42100418,0.4193659,0.42506814,0.43618658,0.44784078,0.45558548,0.45774892,0.45559,0.4516771,0.44819453,0.44567814,0.44412875,0.44363585,0.44488183,0.44776237,0.45078036,0.45177102,0.4492003,0.44340655,0.4361212,0.42941904,0.42451617,0.4212531,0.4187074,0.41595158,0.41257867,0.40904197,0.40621185,0.4052666,0.40683806,0.41076103,0.41646615,0.4227009,0.42860675,0.43282244,0.43589088,0.43855166,0.44259438,0.44715774,0.4510007,0.45189163,0.4496067,0.44437146,0.437909,0.4324911,0.43052968,0.43256637,0.43654478,0.4389191,0.43737483,0.43259737,0.4282279,0.4290975,0.43983415,0.46428642,0.5012918,0.54051346,0.56187075,0.54945475,0.5046652,0.44898358,0.40666497,0.3892689,0.39163634,0.402715,0.41424194,0.4238123,0.4315665,0.43859556,0.44532344,0.451682,0.4565381,0.45848253,0.4556029,0.44410154,0.41880095,0.37632275,0.32097188,0.26437098,0.22004409,0.19481756,0.18633366,0.18553388,0.18312873,0.17378823,0.15827468,0.1408843,0.12656225,0.117885716,0.115597725,0.11955994,0.12914288,0.14197586,0.1533029,0.15781033,0.15282468,0.14023429,0.12571697,0.11516354,0.11205191,0.115298085,0.12123629,0.12541781,0.12654932,0.12622488,0.12804943,0.13368882,0.14213993,0.15022178,0.1553459,0.1576574,0.1630594,0.1849963,0.23947425,0.33049294,0.43797335,0.5253809,0.567894,0.5713292,0.5614621,0.5524474,0.5356775,0.49574187,0.43550953,0.37468243,0.33306977,0.31483677,0.31279144,0.3174175,0.32329595,0.3280383,0.33078292,0.33201882,0.33306846,0.33546996,0.33974063,0.34533775,0.35089388,0.35442725,0.3548049,0.35237125,0.34959194,0.34903705,0.35198355,0.35780382,0.36481118,0.3717374,0.3779559,0.38378116,0.38970688,0.39637384,0.40386108,0.41069004,0.41364327,0.40946123,0.39833632,0.3849373,0.37563896,0.37374055,0.37748945,0.3825015,0.3853983,0.38573673,0.38485286,0.38415244,0.38389716,0.38334224,0.38183007,0.37963152,0.3784075,0.37981594,0.38439426,0.3907592,0.39633334,0.3991382,0.39849448,0.3958741,0.3926588,0.38983706,0.38665262,0.38246322,0.37725866,0.3722577,0.36913523,0.36865035,0.37095594,0.37591895,0.38513073,0.39993635,0.42021117,0.4417058,0.45968592,0.469525,0.46993434,0.46006906,0.4424906,0.4207351,0.4004983,0.38531837,0.37717912,0.37526938,0.37717438,0.37913874,0.37824583,0.37389815,0.36819518,0.36357114,0.36163107,0.36286774,0.37029925,0.39101842,0.43205476,0.48960534,0.5416822,0.5595272,0.5285868,0.46415177,0.39774242,0.3551077,0.33985552,0.34188858,0.3494545,0.3574399,0.36476985,0.3712113,0.37634218,0.37957034,0.3810073,0.38110986,0.38075268,0.37938514,0.37196216,0.35047507,0.30872667,0.2517461,0.19423091,0.15320127,0.13497534,0.13346553,0.13670729,0.13693674,0.1344765,0.13311635,0.13496034,0.13770384,0.13863295,0.13737619,0.13698484,0.1404232,0.14812101,0.15708795,0.16333796,0.16427988,0.16029449,0.15379371,0.14821436,0.14570482,0.14659037,0.1483844,0.14859648,0.14594607,0.14157267,0.13619512,0.12952714,0.12135453,0.11443343,0.114275776,0.12739784,0.15963589,0.21591131,0.29413292,0.37990916,0.4459165,0.46980628,0.44894353,0.40506336,0.36505532,0.3452257,0.34412888,0.35230434,0.36059263,0.36545038,0.36725917,0.36845815,0.37096033,0.37564743,0.38189736,0.3889315,0.39563644,0.40128365,0.4048272,0.40614092,0.40584454,0.40574133,0.40722725,0.41106927,0.416533,0.4227531,0.42864013,0.4337542,0.43691185,0.4370478,0.43327427,0.4270133,0.42071834,0.41721287,0.41714522,0.41948676,0.42180625,0.421389,0.41637263,0.4066703,0.39520445,0.38601446,0.382074,0.38319662,0.38723266,0.39214218,0.39730513,0.40271786,0.40787697,0.41134527,0.41205397,0.41061893,0.4089419,0.40898862,0.41059664,0.41279593,0.41429332,0.4154859,0.41683698,0.41891894,0.42113876,0.4233055,0.42495123,0.42604423,0.4255788,0.4229792,0.41877243,0.41524962,0.41499218,0.41868797,0.4252534,0.4327478,0.4393896,0.4429021,0.4401977,0.42922047,0.4108684,0.38978907,0.3725541,0.36428216,0.36609223,0.3737363,0.38106754,0.38346866,0.38160872,0.3788713,0.37890995,0.38177896,0.38579777,0.3885928,0.38990736,0.3902854,0.39176854,0.3976356,0.41354537,0.4427605,0.48034588,0.5096762,0.51226234,0.48105308,0.4285907,0.3770291,0.34376812,0.33174056,0.33400416,0.34143373,0.34865806,0.3539829,0.35780272,0.36104628,0.36446273,0.3683788,0.37252653,0.37564695,0.3750724,0.36600304,0.3440273,0.30885208,0.26810753,0.23343097,0.21333538,0.20738728,0.20865197,0.20967388,0.20620482,0.19693463,0.18154196,0.16107123,0.13860475,0.11915857,0.10665687,0.101681806,0.10107344,0.10115469,0.10044399,0.101548575,0.10988045,0.12980439,0.16023938,0.19244786,0.21558583,0.22250843,0.21426214,0.19565181,0.17188698,0.145568,0.11866755,0.09301269,0.07154634,0.057821676,0.05650567,0.07306918,0.11403346,0.18453538,0.28049135,0.3830792,0.46270028,0.5011838,0.5053258,0.50086826,0.5025017,0.50088537,0.47567764,0.42344478,0.36362576,0.3210249,0.30513287,0.30768558,0.31487003,0.318692,0.31903788,0.31939006,0.3224726,0.3287771,0.33669484,0.34417948,0.34956118,0.35239777,0.3527603,0.35101047,0.34785137,0.34432426,0.3416702,0.34038782,0.34041175,0.34145144,0.34349266,0.34669542,0.3504062,0.3533734,0.35446426,0.35418692,0.3543531,0.35521254,0.35437977,0.34754825,0.33426878,0.3183535,0.30626678,0.30077484,0.3005735,0.3022419,0.3037901,0.30500963,0.30620548,0.30731848,0.3081049,0.30810562,0.30757865,0.30684757,0.30751732,0.31052542,0.31617752,0.3227928,0.32800683,0.3308922,0.33184972,0.33339533,0.33599973,0.34007618,0.3438524,0.3470106,0.34893057,0.35015193,0.35148978,0.35348347,0.35648715,0.35943756,0.36149025,0.36192462,0.36110637,0.36042097,0.3608329,0.3633895,0.36774492,0.37392375,0.38124856,0.38891765,0.39553797,0.39935744,0.39947906,0.39548042,0.38846126,0.37966692,0.37102306,0.36354986,0.35778117,0.353241,0.35089222,0.3553644,0.37600434,0.4202975,0.48305306,0.5411041,0.5647534,0.5394141,0.47800028,0.41067636,0.36293504,0.3414086,0.33825102,0.34236607,0.34822312,0.35495874,0.3638129,0.37453687,0.38565433,0.39494395,0.40117428,0.40402982,0.40318903,0.3961022,0.37896848,0.34940907,0.3115053,0.27404502,0.2463414,0.2313063,0.2256705,0.2227984,0.21735783,0.20755363,0.19496046,0.18336256,0.17556463,0.1725464,0.17322709,0.17638345,0.18069834,0.18515247,0.18975635,0.1967405,0.20825231,0.22216858,0.23000617,0.2237345,0.20418578,0.18296741,0.17256047,0.1755051,0.18477221,0.1913842,0.19267227,0.18952692,0.18450595,0.17965156,0.17805772,0.1812676,0.18659173,0.18949963,0.18731236,0.1824801,0.17726533,0.1717342,0.16358379,0.15432848,0.14942585,0.1548387,0.17108594,0.19278924,0.21297877,0.22724412,0.23525746,0.2380693,0.23648107,0.2298475,0.21711875,0.19790512,0.17381628,0.14950483,0.1314037,0.12516354,0.13176051,0.14692147,0.16312748,0.173979,0.17666847,0.17210858,0.16358642,0.15488347,0.14946508,0.14913584,0.15409021,0.16257782,0.1716529,0.17816545,0.18000263,0.17717345,0.17112423,0.163846,0.15642245,0.1487661,0.13978927,0.12835298,0.11423326,0.09874474,0.08452342,0.07447886,0.06996492,0.06963312,0.06999733,0.06787615,0.06250102,0.05542797,0.048854988,0.043951556,0.040794373,0.038850535,0.03759374,0.036577094,0.035554532,0.03448833,0.033515684,0.032962535,0.033790573,0.038131986,0.048801467,0.06721921,0.09134432,0.11628371,0.13725936,0.15249151,0.16293035,0.17053442,0.17638503,0.17987595,0.17873007,0.17069589,0.15732084,0.14537305,0.14399154,0.15773356,0.18366773,0.21325181,0.2384689,0.25449318,0.26089072,0.2601339,0.2569604,0.25537038,0.25649586,0.25806713,0.2575988,0.25395405,0.24712743,0.23482256,0.2143497,0.18560795,0.1558472,0.13648552,0.1370012,0.15819292,0.19189633,0.22704144,0.2557056,0.27558005,0.28535852,0.28256893,0.26446435,0.2340902,0.2001112,0.17297745,0.15748991,0.15266924,0.15374741,0.15641344,0.15678255,0.15278237,0.14571656,0.14142002,0.14728417,0.16643254,0.19546764,0.2255692,0.24775344,0.2550675,0.24679023,0.22859196,0.21181752,0.20456089,0.20666987,0.21020824,0.20891242,0.20276809,0.19557248,0.18776615,0.17561288,0.15543243,0.12966438,0.1063387,0.09509938,0.099996746,0.1170634,0.13592082,0.14727141,0.14793491,0.14207041,0.13608123,0.13419622,0.13563956,0.13667338,0.13431744,0.1298482,0.12842566,0.13440645,0.14756595,0.16288386,0.17493065,0.1806442,0.17963976,0.1723504,0.16011149,0.1458038,0.13429366,0.12907863,0.12979399,0.13104446,0.12760262,0.11865851,0.10975945,0.10784069,0.11581659,0.13036646,0.14506681,0.15544052,0.1608088,0.16288154,0.1626073,0.1593911,0.15219165,0.14133652,0.12914054,0.11864322,0.11222318,0.110729,0.11418122,0.12196454,0.13204628,0.14112198,0.1454777,0.14366607,0.13578944,0.123349994,0.107461035,0.09026068,0.07429399,0.06222945,0.05496044,0.05162486,0.050372858,0.04973,0.049096238,0.048519913,0.04819184,0.048172742,0.048338916,0.048560705,0.048740834,0.04888691,0.048980895,0.049002424,0.048868734,0.048497677,0.047789812,0.0469455,0.047175597,0.051294427,0.06322762,0.08524833,0.11513567,0.14535947,0.16738327,0.17766602,0.18080503,0.18502195,0.19375022,0.20123367,0.19832726,0.18240412,0.16196823,0.149162,0.14943165,0.15701352,0.1618166,0.15894014,0.15235116,0.14979213,0.15507776,0.16603443,0.17789191,0.18777461,0.19478203,0.19867992,0.19915152,0.1975658,0.19616044,0.19632052,0.19564755,0.19032443,0.17793147,0.16132282,0.14680833,0.1418892,0.1500106,0.16879983,0.18953271,0.20255208,0.20249568,0.19182326,0.1780159,0.1684032,0.16610324,0.1695857,0.17539687,0.18054943,0.18391412,0.1854461,0.18564129,0.18489175,0.18338521,0.18063183,0.17583507,0.16895388,0.16190875,0.15767588,0.15813799,0.16256368,0.16883256,0.17549288,0.18214823,0.18852569,0.19368058,0.19715786,0.19925056,0.20086718,0.2022476,0.20329906,0.20377612,0.20369272,0.20286767,0.2008995,0.19742994,0.19234873,0.18581344,0.17814861,0.17054452,0.16553771,0.16590078,0.17200267,0.17993091,0.18385303,0.18059869,0.17261215,0.16558121,0.16348459,0.16604258,0.1699835,0.17237706,0.17172079,0.16756211,0.159443,0.147579,0.13367547,0.12109395,0.1133708,0.11274771,0.1195851,0.13240343,0.14793341,0.16122223,0.16735615,0.16384877,0.15214673,0.13663298,0.121999025,0.11111585,0.10427565,0.10014344,0.097450495,0.09638327,0.099051505,0.10770925,0.1225925,0.14076038,0.15831332,0.17411985,0.19020283,0.20921242,0.23002237,0.24854429,0.25921023,0.2572043,0.23941374,0.20784475,0.17293721,0.1499365,0.14867353,0.16454838,0.18122564,0.18457226,0.17396365,0.16201358,0.16144466,0.17466581,0.19341642,0.2074936,0.21227753,0.20908023,0.20217723,0.19439302,0.18627907,0.17618628,0.16476242,0.1563225,0.15646687,0.1647196,0.1727227,0.17169893,0.1607328,0.14907233,0.14576238,0.15382302,0.16731821,0.17968212,0.1863796,0.18757077,0.1847568,0.18055557,0.17737077,0.17680459,0.17830962,0.17980115,0.17942221,0.1769963,0.17327009,0.16883081,0.16354951,0.15713738,0.14912139,0.13900982,0.12732802,0.11776053,0.11741971,0.13335298,0.16677397,0.2106909,0.25345382,0.28496942,0.29991826,0.2962712,0.2749803,0.24082245,0.20453702,0.1773594,0.16540681,0.16513954,0.16874106,0.16975807,0.1673863,0.16449834,0.16570063,0.17555024,0.19715726,0.22940929,0.26539424,0.29534617,0.31237343,0.31642047,0.31228134,0.30518386,0.29800767,0.291438,0.2844627,0.27419284,0.25704286,0.23168844,0.20165151,0.1748489,0.15951402,0.15964282,0.17235677,0.19016306,0.20549166,0.21452458,0.21712416,0.214765,0.20936652,0.20308006,0.1983959,0.19687499,0.19915587,0.20462316,0.21152072,0.21616025,0.21465714,0.20658247,0.19661556,0.19171329,0.19483288,0.2036116,0.21295412,0.22000991,0.22434688,0.22658014,0.22685684,0.2251219,0.22131412,0.21505515,0.20684648,0.19948916,0.19795667,0.20541386,0.2196425,0.23341656,0.23955734,0.23484354,0.22044374,0.19926918,0.17453714,0.1498328,0.12868048,0.11352692,0.10363216,0.09658528,0.08980104,0.08336935,0.07869759,0.07780295,0.08221238,0.09470552,0.11863545,0.1550351,0.1980703,0.23508672,0.252326,0.2425636,0.20934285,0.16455902,0.123392425,0.097775765,0.09309179,0.10584936,0.1264623,0.14330707,0.14936101,0.14400935,0.13194753,0.1183295,0.10646521,0.09742144,0.091610394,0.089232944,0.08987811,0.0918414,0.09285771,0.091245495,0.08683749,0.08038913,0.07356265,0.068975635,0.07060576,0.081619106,0.10207053,0.12746911,0.15172423,0.17074971,0.18481219,0.19648506,0.20778036,0.21798085,0.22422983,0.22295117,0.21286811,0.19707112,0.18279427,0.17660062,0.17957075,0.18699618,0.19302243,0.19521137,0.19459826,0.19312556,0.19135118,0.1884787,0.18283737,0.17277591,0.15722544,0.13794725,0.12044758,0.1131851,0.12145769,0.14264236,0.16570942,0.17905594,0.17734033,0.1635161,0.14366435,0.12324876,0.10552579,0.09290829,0.08616978,0.08433351,0.084860474,0.0856613,0.085815586,0.085333146,0.08432237,0.08271614,0.08047355,0.077654324,0.074447334,0.071083754,0.06781963,0.06487357,0.062308595,0.059982687,0.05763133,0.055091444,0.052451175,0.049949005,0.04781054,0.046116937,0.044884663,0.04405023,0.04348271,0.042947922,0.042226315,0.041228417,0.040046904,0.03890788,0.038044643,0.037602562,0.037561584,0.03775266,0.03793582,0.037929144,0.037600186,0.036742866,0.034876477,0.031411123,0.026090076,0.019495077,0.01292834,0.007715725,0.004460455,0.0028726244,0.0022438867,0.0019662615,0.0017701298,0.0015946076,0.0014357246,0.0012699232,0.0010789551,0.0008725962,0.00068431045,0.0005499849,0.00049285655]