[0.0017296534,0.0021653988,0.0051848474,0.0151686445,0.035524677,0.065538645,0.0980579,0.12411333,0.13800353,0.14099078,0.13796209,0.13351293,0.12934594,0.1255083,0.1218999,0.11904216,0.117489375,0.11723777,0.117547035,0.1174616,0.116414905,0.11447541,0.11222776,0.1102531,0.10948678,0.111296855,0.11800331,0.12998395,0.14399499,0.15197314,0.14718544,0.12850572,0.10287279,0.07885726,0.061759595,0.051001817,0.044860125,0.04417887,0.053564053,0.075707145,0.107314706,0.13830821,0.15925537,0.16640376,0.16356258,0.15673059,0.15041326,0.14572854,0.14203854,0.13855185,0.13515384,0.13237841,0.13051422,0.12934144,0.12817352,0.12664558,0.12482378,0.122995496,0.121183045,0.11925933,0.11730584,0.11581845,0.11530414,0.11574087,0.11642598,0.116585195,0.11605278,0.115381755,0.11531646,0.11603587,0.11809692,0.123253144,0.13576315,0.15822421,0.1888088,0.21828206,0.23721164,0.24078733,0.2332303,0.22177404,0.21274398,0.20789914,0.2063909,0.20583738,0.20389175,0.19886868,0.19049954,0.18010896,0.17007928,0.16305107,0.16094226,0.16394669,0.17017733,0.17671917,0.18202262,0.18765247,0.19655176,0.20998286,0.22461277,0.2353609,0.23850125,0.23503995,0.22833551,0.22172956,0.21629326,0.2115773,0.20696948,0.20202376,0.1966845,0.19056678,0.18390174,0.17725134,0.17203623,0.16904593,0.16817404,0.16774118,0.16645552,0.16460219,0.16483791,0.16874732,0.17448111,0.17596452,0.16884182,0.15439105,0.1406364,0.13514967,0.13985513,0.14953363,0.15829958,0.16502427,0.17422609,0.18974392,0.20935303,0.22500046,0.2296928,0.2225498,0.20858331,0.19355111,0.18096949,0.17138787,0.164172,0.15804869,0.15241219,0.14731745,0.14340363,0.14089733,0.13942266,0.13865633,0.13825305,0.13809566,0.13760321,0.13677396,0.13599084,0.13642995,0.13863927,0.14201848,0.14460576,0.14468764,0.14229017,0.1388743,0.13576119,0.13283731,0.1304584,0.13113469,0.13956337,0.15790243,0.18293129,0.20614223,0.22063468,0.22494166,0.22441663,0.22487246,0.22949438,0.2364427,0.24293542,0.24690944,0.24877603,0.24927235,0.24858743,0.24583948,0.24028385,0.23201843,0.22232223,0.21276724,0.20472483,0.19873069,0.19544064,0.19545074,0.19904476,0.20456524,0.20924829,0.21068625,0.20952547,0.20841704,0.21019171,0.21416694,0.21671438,0.21316922,0.20188004,0.18487404,0.16647416,0.1503585,0.13823847,0.13013174,0.12539391,0.12335699,0.123285525,0.124724515,0.12789439,0.13419338,0.14413486,0.1552962,0.16140689,0.15671504,0.14068924,0.11985136,0.103070736,0.09571334,0.09683723,0.10258454,0.110667735,0.123093344,0.14143147,0.16342385,0.18085301,0.18764557,0.18320262,0.17397384,0.1655705,0.16036677,0.15677767,0.15331002,0.14958857,0.14641935,0.1446117,0.14436385,0.14532131,0.1469291,0.14912547,0.15209095,0.15588401,0.15973473,0.16259861,0.16378944,0.16361976,0.16275275,0.16150425,0.15955006,0.15678294,0.15395914,0.1525842,0.15340506,0.15551056,0.15703864,0.15786843,0.16134329,0.17190242,0.19073234,0.21274407,0.23047501,0.23901655,0.23919432,0.23440154,0.22751631,0.21965164,0.21139628,0.20348485,0.19616558,0.1892036,0.18218935,0.1756432,0.17060654,0.16876268,0.1713665,0.17915504,0.19052601,0.2023793,0.21115358,0.21659255,0.22096114,0.22733527,0.23533045,0.24244715,0.24594463,0.24611677,0.24459906,0.2430607,0.24143638,0.23913836,0.23563744,0.23104674,0.22592781,0.22121315,0.21797985,0.21715216,0.21913843,0.22441192,0.23274516,0.24283826,0.251483,0.25542295,0.25361145,0.24715185,0.23800528,0.22606428,0.21119429,0.19418757,0.17916356,0.17046575,0.17069429,0.17798434,0.18833755,0.19857214,0.20987095,0.2259435,0.24828236,0.27228484,0.28926054,0.29316488,0.2841827,0.26798007,0.25063494,0.2363647,0.22633731,0.21987484,0.21514253,0.21086185,0.20667799,0.20333569,0.20161074,0.20237088,0.2055554,0.21022862,0.21402337,0.21527238,0.21404447,0.21321017,0.21565722,0.22226228,0.2305295,0.24001229,0.25539622,0.28626022,0.33177957,0.3765421,0.3948284,0.3786367,0.34227252,0.313107,0.30173895,0.298597,0.28935024,0.27597225,0.27759156,0.3059789,0.34955192,0.3752385,0.36069444,0.3115209,0.25729385,0.22239865,0.21009602,0.2080081,0.2050088,0.20191818,0.20531487,0.2200035,0.24221504,0.26631233,0.29020137,0.32056916,0.362052,0.4089931,0.44129762,0.4417193,0.40890184,0.36067986,0.3175585,0.2898953,0.27582666,0.2693731,0.26679215,0.2670468,0.26989618,0.274559,0.28111553,0.2921395,0.31371525,0.34867215,0.3906558,0.42179203,0.42800233,0.41011274,0.38549843,0.36744022,0.35401657,0.33061585,0.2902327,0.24059129,0.19737494,0.16840358,0.14955509,0.13331646,0.11861163,0.113322325,0.12423792,0.1502751,0.17974328,0.20092785,0.20812684,0.20519602,0.19841623,0.19285344,0.19003882,0.19009115,0.19219516,0.19460166,0.19476785,0.19072743,0.1826958,0.17336524,0.16588867,0.16181104,0.16004176,0.1587476,0.15740371,0.1580454,0.16382773,0.17554188,0.18981858,0.19997616,0.20168722,0.19551216,0.18656461,0.17915703,0.17441826,0.17222773,0.1747904,0.18848997,0.21571319,0.25037536,0.27562723,0.27908877,0.2598931,0.23183137,0.20867771,0.1976734,0.19651859,0.20060413,0.20534994,0.20804732,0.20565455,0.19645648,0.1803777,0.16292691,0.15389045,0.1642496,0.19698052,0.24285324,0.28566626,0.31532583,0.33733842,0.3642526,0.40043494,0.43245497,0.442692,0.42579946,0.39510462,0.3683026,0.3543775,0.35049286,0.35064456,0.35147378,0.35274526,0.35444117,0.3552427,0.35456344,0.3549715,0.36328575,0.3852779,0.41688076,0.44351387,0.44901896,0.43256164,0.40802073,0.39217874,0.38771427,0.38492212,0.37464055,0.3575761,0.34219804,0.33407816,0.33295032,0.33490753,0.33955145,0.3512887,0.37546813,0.40854752,0.4356755,0.43766582,0.40896857,0.36198816,0.319248,0.29413423,0.28606966,0.28594825,0.28658655,0.28603002,0.2847897,0.28393793,0.28393558,0.28700995,0.29597506,0.31318942,0.33399355,0.3485609,0.3462632,0.33064947,0.3180294,0.32840016,0.36268207,0.40188253,0.41935602,0.4056104,0.37136817,0.33718827,0.31483847,0.30514002,0.3034493,0.30830243,0.31958282,0.3352089,0.3479123,0.35111642,0.3453937,0.3416938,0.35276854,0.37906626,0.40426287,0.40618753,0.37810317,0.3342438,0.2983404,0.28395557,0.28892967,0.30388978,0.32172728,0.34063932,0.3576976,0.36798176,0.36562264,0.35372522,0.34355655,0.3502426,0.37504432,0.40367445,0.41195515,0.3899673,0.34646806,0.30430272,0.27851483,0.27179828,0.2761097,0.2844512,0.2927434,0.30017892,0.30565205,0.30840406,0.31008646,0.3166161,0.33725718,0.37376973,0.41553625,0.44014528,0.4344231,0.40363118,0.3683499,0.3420665,0.32154682,0.29510567,0.25871858,0.2221638,0.19901733,0.1950716,0.20482628,0.21716098,0.22525513,0.22895968,0.23351103,0.24148929,0.25109646,0.2570162,0.25583336,0.24760962,0.234643,0.21943706,0.20416272,0.1911689,0.18231446,0.17779024,0.17612563,0.17545734,0.17510839,0.17536177,0.17653275,0.17827733,0.18002683,0.1817631,0.18376048,0.18622352,0.1883931,0.18903065,0.1868542,0.1819941,0.17626293,0.1725597,0.1730216,0.17780499,0.18515885,0.19404763,0.20573527,0.22475488,0.25154325,0.28025857,0.29687285,0.29341286,0.27116284,0.24288894,0.21851069,0.20237069,0.19203873,0.1855688,0.18217039,0.18141872,0.18140404,0.17955814,0.17626654,0.17750263,0.19416253,0.23273294,0.28560293,0.32958797,0.34339085,0.32713488,0.30716634,0.31240335,0.3488615,0.39279792,0.41472077,0.40393937,0.3741796,0.34643832,0.3311108,0.3259698,0.32373998,0.32109693,0.31830356,0.31679842,0.3163961,0.31680503,0.32088402,0.3352615,0.3644847,0.4019214,0.42947635,0.43041345,0.4055377,0.37282237,0.35099098,0.34351122,0.34025213,0.33207843,0.318809,0.3069881,0.29989877,0.29644844,0.2937485,0.29413757,0.30473793,0.33175448,0.3697888,0.40158474,0.40836093,0.3870126,0.35035682,0.31655586,0.29354838,0.27976632,0.270184,0.26278695,0.25715384,0.25261423,0.24776806,0.24244976,0.23769642,0.23578733,0.23695481,0.24012274,0.24216132,0.24457745,0.25338817,0.2801704,0.3270928,0.3826503,0.41951242,0.4192259,0.3834808,0.3387108,0.3119165,0.31714663,0.3483199,0.39044312,0.42680657,0.4457183,0.44157615,0.41652754,0.37989405,0.34639132,0.33179268,0.34405947,0.37570584,0.4042561,0.4072132,0.37931287,0.33608708,0.3005574,0.28555393,0.2886946,0.29903588,0.30678904,0.30788538,0.301888,0.2896212,0.27194315,0.2541959,0.24803393,0.2672169,0.3138175,0.37159523,0.41277698,0.41952276,0.39392436,0.35405627,0.31697503,0.2911675,0.2766128,0.2699556,0.2666823,0.2617395,0.25143304,0.23506886,0.21583511,0.19853406,0.1871568,0.18289685,0.18434505,0.18869537,0.19307189,0.19522142,0.19213782,0.18059827,0.15812342,0.1274033,0.095044374,0.069120035,0.053115327,0.0469308,0.049443383,0.06274807,0.09035013,0.13360675,0.18781185,0.24382533,0.29134998,0.3243291,0.34122932,0.3456315,0.34207785,0.3351253,0.3258719,0.31355,0.2970942,0.2783911,0.26204726,0.25175318,0.24734963,0.24414514,0.23761873,0.22644691,0.21323645,0.20070209,0.19026218,0.18327968,0.18339904,0.19414358,0.21433242,0.23639631,0.25170657,0.25657535,0.25394216,0.24877101,0.2444564,0.24203955,0.24228568,0.24603045,0.25301722,0.2613192,0.26802632,0.27167723,0.27208245,0.26937023,0.26145056,0.24474417,0.21761592,0.18405445,0.15388964,0.136671,0.13665998,0.15082924,0.17371385,0.20013243,0.22691886,0.25105786,0.270974,0.28670493,0.3009797,0.31583095,0.33132184,0.34357786,0.3489149,0.345039,0.3343531,0.32015935,0.30600354,0.29164496,0.27554223,0.25624081,0.23636782,0.22149682,0.21629065,0.22010863,0.22683658,0.23059076,0.23065229,0.23299558,0.2442625,0.26676032,0.29544064,0.32271063,0.3420483,0.35116163,0.34962702,0.33808175,0.3169657,0.28763363,0.25257492,0.21582265,0.18142878,0.15175742,0.12790653,0.112960644,0.113753654,0.13611557,0.17776234,0.22590303,0.2650244,0.28586766,0.2895244,0.28193238,0.26838318,0.25050393,0.2290224,0.2056436,0.18394768,0.16732843,0.1573084,0.15266044,0.15069257,0.14911444,0.1468644,0.1436712,0.1393135,0.13437822,0.1310852,0.13314389,0.14353915,0.16153748,0.18215333,0.19797796,0.20435841,0.20091008,0.19148004,0.17966686,0.16869588,0.16179538,0.16438232,0.18090282,0.20929854,0.23943825,0.2579116,0.25948355,0.24908799,0.23813736,0.2326984,0.23169039,0.23005076,0.22683613,0.22718774,0.2364515,0.25398126,0.2698516,0.27392694,0.2625741,0.24379736,0.22916944,0.22774453,0.23972404,0.2600392,0.28135672,0.29900387,0.31039038,0.31503293,0.3133467,0.30731237,0.29968533,0.29280806,0.28717196,0.28180015,0.27497235,0.26596615,0.25461993,0.24174036,0.22723143,0.21135658,0.19495535,0.18149127,0.17479986,0.17661764,0.1839329,0.19152786,0.19553852,0.19589822,0.19298737,0.18528992,0.1689352,0.14349863,0.11323147,0.08617896,0.067515224,0.058873292,0.059646368,0.07163746,0.0982483,0.14066474,0.19330214,0.24446507,0.28228444,0.30123004,0.30439803,0.29967687,0.29446802,0.29192945,0.2917311,0.29194096,0.29148474,0.29026553,0.2885132,0.2858195,0.28133965,0.27507922,0.26840246,0.26364386,0.26271367,0.2664356,0.27441588,0.28533232,0.2968047,0.30530038,0.30628574,0.29623374,0.27508435,0.24846442,0.22577673,0.21597444,0.22197194,0.2396696,0.2605045,0.27683747,0.28389218,0.27930403,0.2612132,0.22911543,0.18574627,0.13784234,0.09400242,0.06102939,0.042158175,0.038151994,0.04952058,0.076365,0.11524063,0.15750241,0.19182761,0.2103587,0.2123216,0.20289183,0.18848245,0.17308962,0.1581378,0.14520158,0.13779385,0.13987763,0.15166062,0.16829433,0.1823457,0.18890023,0.18723743,0.17985706,0.16972499,0.15901619,0.14886367,0.13967177,0.13156274,0.12433353,0.117709495,0.11201308,0.10896628,0.11163881,0.121615805,0.13696754,0.15214582,0.16257043,0.16741884,0.16845678,0.16590373,0.15700452,0.14036308,0.118932515,0.09962967,0.08763084,0.08381572,0.08522427,0.08911723,0.0953675,0.10681698,0.12539828,0.14913438,0.1712252,0.1856329,0.19065678,0.18958588,0.18583731,0.18087356,0.17481345,0.16834472,0.16266789,0.15823354,0.15485477,0.15224935,0.15073033,0.15038987,0.15116595,0.15214445,0.15260834,0.15183942,0.15124336,0.15362416,0.1623495,0.17719007,0.19353862,0.20437598,0.20574784,0.19979036,0.19266249,0.18954404,0.19053555,0.19325204,0.19679105,0.20536913,0.22341393,0.25098303,0.27984032,0.29989716,0.30473474,0.29722086,0.28492895,0.27594838,0.2727634,0.27402306,0.27633283,0.27805015,0.277773,0.273361,0.26183853,0.2433001,0.22324745,0.21064323,0.21151447,0.22471537,0.24421017,0.2662321,0.2940077,0.3317776,0.37564203,0.40884295,0.41455305,0.38910767,0.3472214,0.3082569,0.28341052,0.2712921,0.26503417,0.25907442,0.2515144,0.24306633,0.23527706,0.22975977,0.2276565,0.22962397,0.23516862,0.24240541,0.24798529,0.24909823,0.24431841,0.23426865,0.21884704,0.19718088,0.16858374,0.1366807,0.108638145,0.09135387,0.08577165,0.08742696,0.09126225,0.09781764,0.112702966,0.14110081,0.17997424,0.21784566,0.2412049,0.24534367,0.23711707,0.2295289,0.23006672,0.23597485,0.23763056,0.22819985,0.20898475,0.188942,0.17838268,0.1837079,0.20300166,0.22746415,0.24425018,0.24437182,0.22661956,0.19957829,0.1759073,0.16625236,0.17416777,0.1961878,0.22540736,0.25495818,0.28089094,0.30129686,0.3154086,0.32157812,0.3188999,0.3087056,0.2954186,0.28240588,0.26805627,0.24577314,0.21121551,0.16926335,0.13389035,0.11893626,0.12797219,0.15203696,0.17665653,0.19232161,0.19917268,0.20454793,0.21460323,0.2296827,0.24399428,0.2526368,0.2558004,0.259637,0.27047387,0.29027116,0.31526634,0.3386083,0.35385013,0.35779843,0.3515233,0.33996868,0.3280784,0.31824204,0.3083214,0.2953364,0.27851734,0.26180035,0.25070634,0.24811916,0.2517184,0.25578472,0.2556121,0.24962257,0.24055864,0.23268314,0.23058076,0.23465906,0.24265635,0.25054133,0.25743243,0.2633896,0.26788294,0.2673012,0.258793,0.24333443,0.2258913,0.21083008,0.19747174,0.18205692,0.16376375,0.14993697,0.15238686,0.17807382,0.22229017,0.27075318,0.30946147,0.3318384,0.33956298,0.33664635,0.32527283,0.30585018,0.28056565,0.25566941,0.23913632,0.23560278,0.2424419,0.2506936,0.25135788,0.24139564,0.2265566,0.21616828,0.2163806,0.22535639,0.2362685,0.24288289,0.24320465,0.23830284,0.22948706,0.21685709,0.20009483,0.17977189,0.15848257,0.13986582,0.1276828,0.124053955,0.12984997,0.1431254,0.15979421,0.17371751,0.18115811,0.18170111,0.1783524,0.17382507,0.16945513,0.16540213,0.16165167,0.15864229,0.15622027,0.15374355,0.15055771,0.14855923,0.15309727,0.16999058,0.1994831,0.23223169,0.25424024,0.25793895,0.25135326,0.25405392,0.28030148,0.3246036,0.36256835,0.3720502,0.34927857,0.3110592,0.27639726,0.25474265,0.24370664,0.23871179,0.23740648,0.23894389,0.24045317,0.23775418,0.22932206,0.219101,0.21430807,0.22001673,0.23527758,0.25426874,0.27063867,0.28100458,0.284766,0.2822903,0.27359784,0.25971836,0.24309862,0.22706085,0.21310449,0.20138799,0.19226609,0.18867683,0.19381948,0.2084517,0.22846465,0.2476166,0.26038218,0.2655771,0.2647779,0.26019087,0.25029698,0.23200893,0.20448388,0.17460786,0.15406895,0.15257396,0.16985114,0.19653058,0.22060479,0.2361875,0.24480402,0.25088954,0.25474152,0.2512428,0.23586793,0.21211012,0.19243222,0.18844931,0.20061535,0.21699707,0.22403382,0.21735825,0.20365791,0.19332409,0.19263272,0.20113651,0.21433364,0.22773653,0.23824199,0.2439849,0.24326627,0.2370585,0.2292897,0.22602594,0.22973937,0.23744614,0.24203362,0.23808825,0.22579437,0.21064554,0.19997068,0.19831865,0.20573707,0.21802662,0.22969504,0.23621361,0.2356448,0.22712614,0.21138251,0.19108345,0.17414697,0.16995525,0.18427403,0.2128033,0.24416344,0.26684642,0.2758945,0.27372772,0.26630363,0.2588832,0.25350323,0.2494291,0.24554418,0.24189818,0.2396441,0.23941551,0.2397799,0.2379619,0.2307149,0.2174323,0.19987868,0.18268873,0.16983698,0.16355817,0.16094504,0.15626012,0.14327827,0.122088365,0.09820489,0.0799916,0.071509205,0.071873866,0.07679614,0.083031066,0.09064394,0.10223318,0.119414784,0.13942386,0.15637419,0.16651982,0.17163068,0.17655255,0.18301465,0.1875275,0.18495643,0.17416851,0.15903479,0.14521025,0.13566498,0.13038771,0.12804393,0.12881188,0.13283761,0.13891679,0.14301006,0.14259917,0.13940366,0.14006065,0.14951406,0.165985,0.18084668,0.18636817,0.18348026,0.18154728,0.19076575,0.21296336,0.24145047,0.26650667,0.2830592,0.2918198,0.2967349,0.30021676,0.30179712,0.2997156,0.29392734,0.28683102,0.28104237,0.27725008,0.27438542,0.27206698,0.27193126,0.2757249,0.28262782,0.2883105,0.28862998,0.28321835,0.27623156,0.2724621,0.27301165,0.27565444,0.279772,0.29129395,0.31976363,0.36657855,0.41817078,0.45091775,0.4513347,0.42443076,0.3901449,0.3641683,0.35199705,0.34934637,0.35196936,0.3568457,0.36306134,0.36848307,0.37090954,0.3696729,0.36907825,0.37810478,0.4016912,0.43392053,0.45759293,0.46041378,0.4437621,0.41954526,0.39376423,0.3606176,0.31295264,0.25403032,0.19971408,0.16434164,0.15125452,0.15061347,0.15323414,0.16051508,0.18728535,0.2419846,0.31451848,0.37401772,0.3975217,0.38409945,0.35599163,0.33410582,0.32617274,0.32734922,0.33007923,0.33075765,0.3282841,0.32358897,0.31725588,0.31094015,0.30634487,0.3050679,0.3060422,0.30652717,0.3030844,0.2956217,0.2857571,0.27587262,0.2644911,0.24850057,0.22603555,0.20261478,0.18913205,0.19363666,0.2111925,0.22504474,0.22153543,0.20461881,0.19548275,0.21230523,0.2544586,0.30102086,0.33124268,0.3366919,0.3250763,0.30673304,0.28949803,0.27593347,0.26905534,0.27122375,0.28286055,0.29873887,0.3121594,0.31840476,0.31892857,0.31691656,0.3143597,0.3085996,0.2951378,0.2727053,0.24901901,0.24173672,0.2655793,0.31851313,0.37546846,0.40746853,0.40211415,0.37244716,0.3416917,0.32468638,0.3214943,0.32295987,0.32207832,0.31674525,0.30969524,0.30270532,0.2973164,0.29620564,0.30789536,0.3388069,0.38577726,0.42860094,0.4467181,0.43295798,0.402288,0.3718181,0.34680784,0.31652144,0.27271855,0.21960801,0.1724254,0.14223784,0.12850285,0.12352612,0.12497888,0.1433742,0.19150229,0.26796114,0.34754255,0.39900097,0.40774572,0.38645673,0.35897183,0.34150282,0.3358116,0.3362802,0.33776733,0.33773398,0.33582306,0.3324497,0.32834318,0.32400438,0.31998178,0.31670955,0.3137801,0.31027034,0.3063057,0.30407286,0.3063564,0.31343156,0.3227476,0.3306596,0.3358955,0.33901915,0.34100285,0.3406494,0.33566034,0.32517457,0.31234163,0.30398506,0.30520663,0.31497362,0.32513198,0.32773533,0.32027474,0.30678925,0.29172075,0.2763605,0.25783226,0.23365973,0.2055585,0.18251754,0.17511167,0.18732761,0.21041532,0.22990358,0.23694754,0.2351321,0.23438318,0.24069995,0.2521962,0.265466,0.28451285,0.31901893,0.37131348,0.42647496,0.459551,0.45788375,0.43085977,0.4021877,0.386997,0.38569674,0.387535,0.3837624,0.37047005,0.34955725,0.32609472,0.3067846,0.2983096,0.30609336,0.33295226,0.37415075,0.41491392,0.43690816,0.43218815,0.41103137,0.39067197,0.3803185,0.37311092,0.3598787,0.33735383,0.31239358,0.28949758,0.2690454,0.2473191,0.22783059,0.2216969,0.24460633,0.2993483,0.37109125,0.4292699,0.45325688,0.44165185,0.41445884,0.38978067,0.37579855,0.3671844,0.3572258,0.3419466,0.3225484,0.30231544,0.2846738,0.27182314,0.26463404,0.26290762,0.2646596,0.26541075,0.25966308,0.2447819,0.22437091,0.20676307,0.19964312,0.20458937,0.21682543,0.22917324,0.2373129,0.24125798,0.24328965,0.24473275,0.24602675,0.24933277,0.2597157,0.279999,0.30585054,0.325321,0.32914582,0.3165981,0.2961179,0.27514398,0.25549617,0.2331772,0.20612942,0.17917155,0.16359645,0.16804199,0.19023307,0.21690279,0.23454235,0.23894839,0.23580684,0.23297173,0.23447238,0.24221861,0.2599055,0.29452613,0.34642124,0.40360436,0.44126105,0.44164094,0.40575206,0.355772,0.31511414,0.29467884,0.28980812,0.29063407,0.29130363,0.2912087,0.2920226,0.29390323,0.29759288,0.3066146,0.32905248,0.36792305,0.4154036,0.44987145,0.45512506,0.43041638,0.39414307,0.36269256,0.34088126,0.32114258,0.29784867,0.2718664,0.24827795,0.22972341,0.21588068,0.20746905,0.20984751,0.23281288,0.27979,0.34055448,0.38977364,0.40763152,0.39275882,0.36492944,0.34370506,0.3359712,0.33477846,0.33211565,0.3262502,0.32020637,0.31664148,0.3145927,0.3134867,0.31581905,0.32809988,0.35276207,0.3835064,0.405306,0.40833417,0.39649463,0.38766408,0.39449844,0.4140567,0.42680022,0.41826192,0.38869396,0.3553973,0.333774,0.32989064,0.33754256,0.34967077,0.36223748,0.37435162,0.3834418,0.38367212,0.37110054,0.3480401,0.3260956,0.3171798,0.32471284,0.33798882,0.34245947,0.33213747,0.31482276,0.3017164,0.29553637,0.28909442,0.2753881,0.25738242,0.24563523,0.24907422,0.2663522,0.29006565,0.31480598,0.3443953,0.38426188,0.43122938,0.46775293,0.47458342,0.44679907,0.3993458,0.35500553,0.3268474,0.31397036,0.3071001,0.30043098,0.2928402,0.28697777,0.2836621,0.2835335,0.28859985,0.30573437,0.3406588,0.38965714,0.43440235,0.4538907,0.4410275,0.40933692,0.37765753,0.35307062,0.3271061,0.2911717,0.24760413,0.20943432,0.18749195,0.1833954,0.19055317,0.20404686,0.22722642,0.26931736,0.3316027,0.39840963,0.44231734,0.4466373,0.4171041,0.37730625,0.34591267,0.32737932,0.31407213,0.30058494,0.28727803,0.27889612,0.27716145,0.28050804,0.2845353,0.28641447,0.2846249,0.2805022,0.27564576,0.2726971,0.2729648,0.2774411,0.28450215,0.29112688,0.29303622,0.28785983,0.27486494,0.25523716,0.23106326,0.2066595,0.18763733,0.17987533,0.1878006,0.21333718,0.25298128,0.29631743,0.3291333,0.342738,0.33872202,0.3268502,0.31489432,0.3044068,0.2914678,0.2739349,0.25424832,0.23861413,0.2312041,0.23036318,0.22952409,0.22312325,0.21257563,0.20579809,0.21034057,0.22672243,0.24949391,0.27555755,0.30838075,0.35086706,0.39559093,0.4241834,0.4234928,0.3961687,0.36021128,0.33226207,0.31832802,0.31301138,0.3085175,0.30145848,0.29501176,0.295138,0.30486524,0.32223535,0.3434843,0.36830235,0.39686224,0.42470452,0.43918014,0.4309474,0.402459,0.36821938,0.34021512,0.31952155,0.30030742,0.2799646,0.2627683,0.2529729,0.24892606,0.24282719,0.22998886,0.21635441,0.21953915,0.25260392,0.3095777,0.36214638,0.3831904,0.36609387,0.32861698,0.292897,0.27041128,0.25957474,0.25452116,0.2513536,0.24874188,0.2456141,0.2401347,0.23086531,0.21943516,0.21045451,0.20853955,0.21408136,0.22346519,0.23500173,0.2542177,0.29254082,0.35274318,0.41994384,0.4643743,0.46717417,0.43335578,0.3885956,0.35299966,0.331247,0.31681874,0.3071423,0.30684996,0.31946763,0.34088707,0.35755754,0.35918012,0.34350112,0.31952438,0.2967124,0.2814385,0.27437928,0.27388838,0.27644387,0.27787343,0.27493787,0.26774356,0.2590996,0.25261492,0.24869667,0.24482578,0.23726983,0.22588582,0.21760394,0.22565989,0.26460516,0.33547273,0.42017308,0.4841763,0.50265175,0.47469,0.4252629,0.38149747,0.35754386,0.3501865,0.3499079,0.3491913,0.34606907,0.3420024,0.3394309,0.33987513,0.34510782,0.35809693,0.38118616,0.40982231,0.43159267,0.43405142,0.4173716,0.39316475,0.37236032,0.3525343,0.3235877,0.2807811,0.23174064,0.18868184,0.15773983,0.13670538,0.12287212,0.121756196,0.14769614,0.21034898,0.29925528,0.38154057,0.42397165,0.41832113,0.38562617,0.35404488,0.33619228,0.32721296,0.31856406,0.30778122,0.29715422,0.28903583,0.285185,0.28756174,0.29607716,0.30587205,0.30844292,0.2977285,0.2749802,0.24832846,0.22737767,0.21758188,0.21752234,0.22042412,0.21836495,0.20833302,0.19520718,0.189529,0.19943951,0.22436166,0.256162,0.28668562,0.3140321,0.3397055,0.36253548,0.3755957,0.37256232,0.3536116,0.3255521,0.29500046,0.26367563,0.2302577,0.19620997,0.1692241,0.16026078,0.17527007,0.20941345,0.24834423,0.27737972,0.28792408,0.27813557,0.24967445,0.20730303,0.16267781,0.13411853,0.14277464,0.19758911,0.286117,0.37266108,0.42084125,0.41540936,0.37201443,0.3195298,0.27953258,0.25705907,0.24945962,0.25629687,0.28261974,0.32793602,0.37936422,0.41195357,0.4092168,0.3742161,0.32882047,0.29293787,0.27356592,0.26699916,0.27068558,0.28923878,0.3262007,0.37425756,0.41230786,0.42040434,0.39588892,0.3552774,0.32012805,0.30042765,0.2941625,0.29631153,0.307637,0.332958,0.36993647,0.40488055,0.4173216,0.39892277,0.35973188,0.32189846,0.30095193,0.29793426,0.3057735,0.3200142,0.34434927,0.38037792,0.4196366,0.44124803,0.43006352,0.38889444,0.3398184,0.30465928,0.29211926,0.29662243,0.31109324,0.33416727,0.36825454,0.40800515,0.43764946,0.439997,0.4165064,0.38936773,0.3852681,0.40852466,0.43909582,0.45124808,0.43824407,0.41256723,0.39087316,0.37683904,0.363772,0.34616742,0.33084297,0.3320366,0.35604355,0.391206,0.4133183,0.40754437,0.3786814,0.34668052,0.32579783,0.3168094,0.3104869,0.30049407,0.2875649,0.2764615,0.26998353,0.2671483,0.2685143,0.2802471,0.3137392,0.3705342,0.43384385,0.47144255,0.46332034,0.4161235,0.35965624,0.31868425,0.30061218,0.2970052,0.29945326,0.30332515,0.3081623,0.3126169,0.3160586,0.31968755,0.32884744,0.35016692,0.38356158,0.4173782,0.43322048,0.4223679,0.39410996,0.36739507,0.35211775,0.3409308,0.3197833,0.2834338,0.24140184,0.20988698,0.19917822,0.20791739,0.22711164,0.2510646,0.28305992,0.32795036,0.38057017,0.42192438,0.4355727,0.4211618,0.3958882,0.37675062,0.36948922,0.36880115,0.36796892,0.36389852,0.35637534,0.34628722,0.3347238,0.32381296,0.31550172,0.31070703,0.30835533,0.3066428,0.30446604,0.30408126,0.3114467,0.33515045,0.37659845,0.42519173,0.4589205,0.4629825,0.43998542,0.40940776,0.38851973,0.38165426,0.38063183,0.37692133,0.36839905,0.35883507,0.35165986,0.34665647,0.3417133,0.3358841,0.33067104,0.32691637,0.32354796,0.3178302,0.30863836,0.297161,0.286013,0.27663925,0.26880983,0.2614118,0.2537291,0.24532779,0.23497476,0.22075193,0.20104422,0.17963772,0.16861206,0.18861645,0.25271094,0.3514252,0.44689855,0.49964345,0.495034,0.45384654,0.40793857,0.37804708,0.3650509,0.36202738,0.36206493,0.36260736,0.3621882,0.3607013,0.35849676,0.35913682,0.36912632,0.39384702,0.42887887,0.4586636,0.46661326,0.4503149,0.42315412,0.4011496,0.38938406,0.38229442,0.37596586,0.37280998,0.37759534,0.38824555,0.39752474,0.4005004,0.40148023,0.41170672,0.43875757,0.47559953,0.5016107,0.496029,0.45784727,0.40558875,0.36491373,0.34652933,0.3464954,0.352695,0.358747,0.3624793,0.36466423,0.36404237,0.36096886,0.35891,0.3653225,0.38567722,0.41609982,0.44313118,0.4515678,0.4396032,0.42090908,0.4150373,0.42682478,0.44199085,0.4386585,0.40999687,0.36861968,0.3354731,0.31997585,0.31814837,0.3201393,0.32276693,0.32746252,0.33500814,0.3392528,0.33352053,0.31882024,0.3086439,0.3191042,0.3536214,0.39595369,0.42107305,0.415814,0.38822722,0.35900155,0.34306875,0.3414141,0.3455644,0.34880129,0.34998402,0.35165337,0.35438645,0.35728547,0.36168277,0.37464276,0.40427896,0.44791707,0.48680964,0.49550983,0.46351004,0.40550968,0.3507651,0.32132947,0.31907484,0.33223,0.3463579,0.35424447,0.35421145,0.3489435,0.3415468,0.33675674,0.34031162,0.35822794,0.3894653,0.42330024,0.4425818,0.439453,0.42051497,0.40097663,0.3882825,0.37863064,0.36576942,0.34970805,0.33612606,0.32714772,0.3182907,0.30171275,0.27687782,0.2567089,0.2645209,0.31353605,0.39066243,0.45675078,0.47769606,0.4481981,0.39459813,0.34741232,0.32100776,0.31060755,0.30566022,0.3008025,0.29695365,0.29794177,0.30540898,0.31816638,0.33239606,0.343828,0.3490243,0.3457524,0.33447292,0.3201547,0.3139018,0.32826927,0.3663148,0.41390064,0.4450902,0.44187889,0.40862083,0.36816335,0.3421251,0.33557472,0.33906284,0.34091774,0.33754274,0.33102044,0.3247,0.3178314,0.31192318,0.3110957,0.32532287,0.3563203,0.39438725,0.4157984,0.40439057,0.36177978,0.30991158,0.27069739,0.2539133,0.25562084,0.26968375,0.2941889,0.32858872,0.36616334,0.39315617,0.39878473,0.38790223,0.38085592,0.39688388,0.43423462,0.46945226,0.47684005,0.45124522,0.4086758,0.37115303,0.3488765,0.34080997,0.34070614,0.3448844,0.3504415,0.35514688,0.35606933,0.35265866,0.34803286,0.35061872,0.36769828,0.3969288,0.4229493,0.4288728,0.4124262,0.38812673,0.3729526,0.37002006,0.3697282,0.36261347,0.34896502,0.33556566,0.32752153,0.32416412,0.3232994,0.32599983,0.33994368,0.3713095,0.41598392,0.45448044,0.46563324,0.44280234,0.39951777,0.35623813,0.32535496,0.3080348,0.30026424,0.29887855,0.30167255,0.30719277,0.31356403,0.31900898,0.32195303,0.32407546,0.33043516,0.34533116,0.3663745,0.38437915,0.39106774,0.3851913,0.3721988,0.35792816,0.3452547,0.33504403,0.3283119,0.3265449,0.3298396,0.33622316,0.34202027,0.34435463,0.34272444,0.33890998,0.33443713,0.32904574,0.32181156,0.31323382,0.30555832,0.29990497,0.2948718,0.28710422,0.27580237,0.26403454,0.2577641,0.25969183,0.26675794,0.2711314,0.2668639,0.25449532,0.24132639,0.2366726,0.24485405,0.26280853,0.28150237,0.29352483,0.2956334,0.28970942,0.27831134,0.26450822,0.25045976,0.23783405,0.22635733,0.21533523,0.20457046,0.19537698,0.18869203,0.18462908,0.18200612,0.17978115,0.17731293,0.17495745,0.17375846,0.1745082,0.17683657,0.17881645,0.17882098,0.17653953,0.17325474,0.16998662,0.16702288,0.16418622,0.16185246,0.1605786,0.16057603,0.16129284,0.1619684,0.16219206,0.16232096,0.16345525,0.16643645,0.170954,0.17525904,0.17762025,0.17776571,0.17679821,0.17598496,0.17552866,0.17491923,0.17376672,0.17199504,0.16987951,0.16727412,0.16438915,0.16142072,0.15941101,0.1591856,0.16164978,0.1664002,0.17225136,0.17722006,0.18088393,0.18519104,0.1938534,0.20921387,0.22972433,0.25081566,0.26774666,0.2789106,0.28553823,0.29023305,0.2945267,0.29873887,0.30242586,0.3055162,0.30867985,0.31293368,0.3190485,0.32632616,0.33258083,0.33441725,0.32942748,0.31743848,0.3014097,0.28573194,0.27471665,0.27064815,0.27356964,0.28127077,0.290507,0.29806176,0.30191025,0.3011423,0.29612625,0.2882017,0.28247252,0.28838575,0.31910023,0.37823918,0.4516827,0.50587374,0.5130685,0.4688891,0.39851284,0.33243844,0.28955364,0.26995203,0.26588812,0.26938984,0.27593264,0.28324553,0.290333,0.29835555,0.31148705,0.33649004,0.37503693,0.41817775,0.44778815,0.4525967,0.43721297,0.41689658,0.39871,0.37543866,0.3367561,0.28484738,0.23543078,0.20308979,0.19003107,0.1853448,0.18056153,0.17925681,0.20053305,0.25845674,0.34578624,0.42796895,0.46995604,0.4619861,0.42569777,0.39112234,0.3736411,0.37113535,0.37506652,0.380245,0.384703,0.38743782,0.3881702,0.38808918,0.38909414,0.39167473,0.394061,0.39351353,0.38909137,0.38439584,0.38824758,0.41059113,0.4532702,0.50224376,0.5322484,0.5242291,0.4817287,0.4273251,0.38493386,0.3630661,0.35765895,0.361483,0.37221313,0.38638648,0.3961691,0.3896606,0.36290932,0.3234341,0.2870372,0.2644095,0.2564554,0.25649157,0.25835773,0.25949466,0.2607614,0.2634956,0.26824334,0.2734015,0.2765474,0.27560666,0.2707779,0.26397917,0.2577009,0.25533527,0.26301777,0.29079565,0.34455052,0.41512617,0.47512546,0.4961363,0.47123262,0.42051077,0.37339637,0.3465803,0.3391821,0.34191337,0.3474243,0.35249984,0.3564709,0.35913298,0.36166123,0.36752367,0.38351128,0.413461,0.4501326,0.47488895,0.4703525,0.43867266,0.39878845,0.37016037,0.35260072,0.33198938,0.297631,0.2553633,0.22106965,0.2044655,0.20207585,0.20344971,0.20523284,0.21755032,0.2554078,0.3209221,0.392938,0.43945155,0.4422499,0.41089258,0.37123954,0.34382287,0.33259663,0.33095443,0.33191133,0.33380425,0.33784422,0.3454078,0.3551151,0.3666744,0.3810391,0.40157664,0.42387095,0.43823346,0.43215117,0.4096549,0.38802752,0.39038774,0.4190556,0.4554646,0.4708537,0.45446178,0.4169055,0.3807911,0.3588352,0.35129774,0.3517233,0.357108,0.36640283,0.37545148,0.3761108,0.36191663,0.33517945,0.30506277,0.2812909,0.2678242,0.26397237,0.26722834,0.27493393,0.28344443,0.2887201,0.2885038,0.2841994,0.27966022,0.2782357,0.28044453,0.28427866,0.28744847,0.28935352,0.29396424,0.30979288,0.3471168,0.40524998,0.4671246,0.5038467,0.49876928,0.45877016,0.40971693,0.37393916,0.35881564,0.35915247,0.36640728,0.37512562,0.38207886,0.38669875,0.38885418,0.3915199,0.39920428,0.41757026,0.4434093,0.46375704,0.46084777,0.432047,0.39302298,0.36540508,0.35344347,0.3412076,0.31121954,0.2634708,0.21667524,0.18907468,0.18449092,0.19072199,0.19677395,0.20512211,0.23385859,0.294449,0.37569273,0.44215468,0.46499625,0.44298694,0.40364006,0.37501118,0.36787632,0.3747764,0.3847978,0.39162675,0.39448193,0.39383987,0.39051926,0.38474402,0.37732995,0.3686879,0.36010635,0.35309625,0.35047367,0.35588196,0.374475,0.41009286,0.45863572,0.50378877,0.52327716,0.5056099,0.46032572,0.41015115,0.37368467,0.3541563,0.34646797,0.34561384,0.35255226,0.36498967,0.3749088,0.36852714,0.34137663,0.30133963,0.26616117,0.24725269,0.245453,0.25279215,0.26213202,0.269833,0.2755762,0.27936578,0.28152275,0.2834402,0.2895062,0.30564538,0.33452713,0.36903596,0.39404574,0.39833236,0.38857445,0.38756064,0.41322026,0.45891675,0.49506554,0.49595463,0.459851,0.40793213,0.36269584,0.334527,0.32235482,0.32231507,0.33127365,0.34553337,0.36020556,0.37077737,0.3772006,0.38524723,0.40502203,0.4402044,0.4803814,0.5031915,0.49325463,0.45663568,0.41611314,0.38992596,0.37780115,0.36765537,0.3520286,0.33488277,0.3248737,0.32492885,0.33102643,0.33840525,0.3500247,0.37659526,0.42691103,0.49328744,0.5492923,0.56616014,0.5370951,0.48266485,0.4336653,0.40677473,0.3997197,0.40068242,0.40157714,0.39959952,0.3956904,0.3913059,0.3891587,0.39320776,0.4086295,0.4379244,0.47402892,0.500113,0.5001212,0.47817874,0.46039367,0.47564927,0.5257494,0.5793314,0.59708375,0.56355906,0.49842322,0.43359318,0.39047906,0.3693429,0.36318776,0.36627564,0.376272,0.38712934,0.38963962,0.3800467,0.3676423,0.3717823,0.40531948,0.4581262,0.5007375,0.5046213,0.46990812,0.42073885,0.38624683,0.37329152,0.37211573,0.3708048,0.36940905,0.373165,0.38196266,0.3877907,0.383924,0.37532774,0.37820092,0.4071326,0.45876884,0.5093815,0.52965236,0.50845665,0.4596518,0.41039622,0.37956747,0.3700455,0.37391254,0.3823253,0.389992,0.39436865,0.39489338,0.39294544,0.39430007,0.4084148,0.44316033,0.49293652,0.5368001,0.54941696,0.5239462,0.47583887,0.4292277,0.39367875,0.36262882,0.32645884,0.2866577,0.25369453,0.23565495,0.2310977,0.23261213,0.23828556,0.25819814,0.3090787,0.39487648,0.49406537,0.5662877,0.581889,0.54277194,0.4790189,0.4232054,0.39068803,0.3789885,0.37855247,0.3822615,0.38633516,0.3890163,0.38952598,0.38874996,0.38956583,0.3950812,0.4056841,0.41693702,0.42267048,0.42323408,0.43009898,0.45811328,0.50688225,0.5540295,0.5696604,0.5436073,0.49259546,0.44465765,0.4163916,0.4074345,0.40968212,0.41634592,0.42356,0.42602488,0.4168125,0.39102873,0.35226858,0.31162527,0.28117418,0.2649982,0.25908267,0.2563763,0.25315598,0.24988735,0.24820624,0.24844088,0.24849348,0.24924819,0.25706735,0.28432992,0.33456722,0.39454284,0.43520534,0.43946385,0.41852328,0.40938964,0.43873826,0.49958953,0.55345017,0.5659859,0.5322016,0.47690156,0.42861167,0.4006612,0.38922456,0.38557813,0.38431576,0.3842002,0.38555196,0.38856825,0.39574444,0.41208878,0.44451037,0.49097338,0.53592026,0.5544533,0.53432775,0.4872197,0.43997958,0.40975893,0.39264715,0.37568274,0.35650298,0.34896076,0.3677424,0.40952358,0.45042363,0.46612003,0.45657513,0.44897738,0.47216937,0.5261991,0.5780663,0.5902286,0.5528308,0.4894364,0.43365526,0.4032952,0.39550367,0.39833078,0.40255758,0.40359256,0.4001433,0.3935957,0.38877442,0.39166394,0.4078076,0.4372004,0.472164,0.49639758,0.49802864,0.4812192,0.46859714,0.47910032,0.5092318,0.5328978,0.53053784,0.5086855,0.49495873,0.50536126,0.52822477,0.5337291,0.50622857,0.45619524,0.40903524,0.37935743,0.36311707,0.35076582,0.3439335,0.35795546,0.40222585,0.46390542,0.5102374,0.514289,0.47747293,0.42477775,0.38297436,0.35986838,0.3503025,0.34699926,0.35066995,0.36202022,0.37749955,0.3871574,0.38655114,0.38231948,0.39270756,0.42969906,0.48597208,0.53286886,0.542758,0.50956255,0.45326558,0.40129897,0.37066066,0.3621435,0.3679278,0.37829256,0.38624892,0.3883078,0.3855736,0.38223645,0.38525522,0.40208456,0.4360422,0.4773964,0.5056166,0.5022796,0.47070906,0.4317181,0.40555647,0.3918209,0.37633657,0.34862757,0.3134663,0.2841402,0.26933336,0.26789618,0.2734451,0.28494295,0.31161225,0.36605167,0.4466261,0.5279204,0.57402986,0.56674224,0.5201766,0.46628973,0.42948392,0.41415405,0.41304013,0.41803166,0.4243908,0.42836234,0.4270477,0.42027727,0.41249803,0.41064945,0.42053166,0.4405568,0.46201143,0.47386357,0.47555578,0.4796057,0.5024397,0.5436895,0.5814345,0.58746964,0.55368036,0.4975891,0.44657207,0.41635665,0.40652585,0.409405,0.41813698,0.42701015,0.42833295,0.41413507,0.38249066,0.3413405,0.30505136,0.28416416,0.2796398,0.28414226,0.28989074,0.29248935,0.29163417,0.28796992,0.28247687,0.27565342,0.27119842,0.2769383,0.30440617,0.35484776,0.4130669,0.45012698,0.4527497,0.43606308,0.43687418,0.47351143,0.5306162,0.5685854,0.56498206,0.5265932,0.48260593,0.45304704,0.44209608,0.44220915,0.44979015,0.46772572,0.4958994,0.5246213,0.535534,0.5219637,0.49621725,0.48487917,0.49940684,0.5272289,0.5392874,0.5224334,0.48633257,0.45369104,0.43427607,0.42160964,0.40640506,0.39195946,0.39401257,0.4215856,0.4643395,0.4949684,0.4947841,0.47144648,0.4554434,0.46987796,0.5077805,0.53668875,0.5287661,0.48461738,0.42831695,0.3852358,0.36319253,0.35590264,0.3526688,0.34869066,0.3439182,0.3413354,0.34244838,0.34810224,0.35828182,0.3734894,0.3907702,0.40403536,0.40617213,0.3997763,0.39848962,0.42134762,0.47182766,0.53149253,0.56825656,0.5657168,0.5346652,0.5028369,0.4882162,0.48747912,0.48692122,0.47755656,0.46220624,0.44660887,0.4336523,0.42059377,0.40672886,0.39734212,0.40392828,0.43175885,0.47136673,0.50041825,0.50252825,0.48033836,0.45141736,0.43043992,0.41862956,0.40951142,0.40011024,0.3954198,0.40174523,0.4193584,0.43997756,0.45486513,0.46260533,0.47294566,0.49453664,0.5242767,0.5429538,0.53207946,0.48776695,0.42552868,0.36645767,0.32495728,0.30258545,0.29207912,0.28357914,0.27083707,0.25350407,0.23510726,0.2193454,0.20785494,0.20140964,0.20022048,0.20384736,0.20940566,0.21324919,0.21234441,0.20597737,0.19372894,0.17531852,0.15141001,0.1264412,0.10744822,0.1005437,0.10656098,0.1207633,0.13641055,0.15025595,0.16598381,0.19195701,0.23357828,0.28679943,0.3384166,0.3752576,0.3911976,0.3887972,0.3726585,0.34628844,0.31263733,0.27860805,0.25453562,0.24843156,0.25915408,0.27652135,0.28843507,0.2892649,0.28054634,0.26718032,0.25183105,0.2361952,0.22255577,0.21594423,0.21975501,0.23273893,0.2477867,0.2576878,0.26008818,0.25868374,0.25874647,0.2623653,0.26808795,0.27286896,0.27486184,0.2725604,0.264343,0.24861854,0.2266903,0.20502704,0.19363636,0.20069355,0.22597086,0.2605236,0.2921259,0.31279695,0.31988716,0.3124313,0.28866282,0.25037616,0.2080345,0.17862923,0.17430735,0.19321446,0.22066845,0.24144381,0.24947546,0.24985905,0.25073048,0.2566453,0.2652148,0.27136847,0.27128908,0.26520738,0.25542247,0.24428643,0.23306775,0.22283363,0.2147847,0.2101447,0.20890556,0.20998383,0.21124487,0.21155508,0.21113397,0.2115482,0.2135473,0.21608998,0.2175849,0.21753055,0.21757047,0.2177699,0.21513222,0.20329447,0.18009071,0.15173827,0.13326417,0.13699688,0.16263317,0.19518131,0.2186668,0.22990246,0.24041386,0.2624255,0.29556847,0.32704547,0.3432528,0.34142148,0.32923675,0.31808662,0.3129177,0.3108873,0.30511686,0.2934919,0.28145525,0.2776045,0.28550807,0.30052808,0.3149943,0.3244375,0.329232,0.3300132,0.32503107,0.31202793,0.29321536,0.27645645,0.26978222,0.2749314,0.28504524,0.2916534,0.29059052,0.28500175,0.2801783,0.28079116,0.28820935,0.30103567,0.31435463,0.32148007,0.31805643,0.3054155,0.29016355,0.27798688,0.2692906,0.25964028,0.24578072,0.22921346,0.2151313,0.20823306,0.21121676,0.22408937,0.24496688,0.26885363,0.29078916,0.30709398,0.31756043,0.32211232,0.32100117,0.3150145,0.30864406,0.30841324,0.3195509,0.3409319,0.36469123,0.37984398,0.37887755,0.36171892,0.33498028,0.30749837,0.28567958,0.27227136,0.26771748,0.27218136,0.28451362,0.300674,0.3139892,0.31970048,0.31820747,0.31414735,0.31116477,0.30928144,0.30656874,0.30262563,0.29874218,0.29565609,0.29188934,0.28561684,0.27635065,0.26675627,0.26029563,0.26017484,0.26558587,0.27365628,0.28091982,0.28823683,0.29889452,0.31569448,0.33613542,0.3540382,0.36325738,0.3620157,0.35263094,0.3393266,0.3256309,0.313664,0.30419526,0.29675248,0.29004684,0.28248978,0.2732841,0.26254037,0.25082257,0.23852819,0.2255659,0.2123816,0.20055379,0.19411151,0.19815987,0.21537085,0.2419221,0.2677656,0.28329828,0.28518808,0.27720034,0.2645255,0.24932535,0.23108818,0.21010064,0.19087946,0.17908823,0.17754543,0.1814053,0.18302836,0.17709817,0.16733766,0.16256434,0.17091261,0.19047035,0.21131851,0.22312398,0.22735466,0.23405927,0.2520945,0.27706277,0.297053,0.30264166,0.29547697,0.28294936,0.26998457,0.25567523,0.23833358,0.22334063,0.22178167,0.24318498,0.28480193,0.33332226,0.37155092,0.38980302,0.38688374,0.36769068,0.33750215,0.30175856,0.26716614,0.24169885,0.23154551,0.23694794,0.25211182,0.2681565,0.27912298,0.28363562,0.28382686,0.2809019,0.27494526,0.2660423,0.25703627,0.25138128,0.2524928,0.2605017,0.27432844,0.28946483,0.3016237,0.30652568,0.3041037,0.29690078,0.2901337,0.28853092,0.29450443,0.305228,0.3133979,0.311229,0.29623422,0.2725285,0.24834412,0.23079024,0.22440505,0.2293448,0.2431189,0.25953355,0.27282038,0.27870634,0.27735245,0.27035365,0.25913912,0.24312203,0.2218547,0.19711445,0.1737045,0.15728658,0.15202351,0.15943469,0.17818694,0.20345378,0.22700971,0.24045078,0.23973052,0.22680633,0.20686817,0.18460019,0.16410333,0.15027268,0.14830603,0.15928115,0.17761813,0.19381784,0.20142682,0.2007329,0.19674475,0.19395591,0.19353293,0.19426602,0.19491522,0.1964683,0.20112948,0.21073003,0.22325705,0.23440288,0.23943083,0.23786467,0.23200028,0.22596793,0.22248079,0.22661066,0.24757986,0.2992621,0.38784647,0.50385964,0.61831,0.7008307,0.7317609,0.71520466,0.66750455,0.61072373,0.5585525,0.52034026,0.5000681,0.49879834,0.5095194,0.5192087,0.5166393,0.50048673,0.48155725,0.47475478,0.4882687,0.5140171,0.53297853,0.5277673,0.49829414,0.4566243,0.41871455,0.39015615,0.37130117,0.35873675,0.35213754,0.35032678,0.3522886,0.35638675,0.3607376,0.3626641,0.3585161,0.34815538,0.33533657,0.3242074,0.31458554,0.30207524,0.28563753,0.26812705,0.2550973,0.24833708,0.24794166,0.2525247,0.26019588,0.2664821,0.26740217,0.26198947,0.25367144,0.24536844,0.23793618,0.22965054,0.22006875,0.20973201,0.2003979,0.1928551,0.18747973,0.18388869,0.18192618,0.18155496,0.18213992,0.18240534,0.17986608,0.17382252,0.16546546,0.1595907,0.16011363,0.16882002,0.18249272,0.19644469,0.20602722,0.20965189,0.20791042,0.20331144,0.19836564,0.19452162,0.19145013,0.18777959,0.18238087,0.17511594,0.16671468,0.15810062,0.15008418,0.14324085,0.13809651,0.13474561,0.13324541,0.13415785,0.1397571,0.15269257,0.17339136,0.19781514,0.21927911,0.23308635,0.23898792,0.24052049,0.24060129,0.24010123,0.23734067,0.23093736,0.220958,0.20961803,0.19969529,0.19289534,0.1894223,0.1890076,0.19173656,0.19762605,0.20538561,0.21300465,0.21884632,0.22257672,0.22408038,0.22275539,0.2179922,0.21012904,0.20065302,0.1909704,0.18197508,0.17384593,0.16697083,0.16229963,0.16221578,0.16990305,0.18713503,0.21109046,0.23459132,0.2503434,0.25653204,0.25629142,0.25396815,0.25031272,0.24475957,0.23732334,0.23000188,0.22363257,0.21723461,0.20991689,0.20294607,0.19979066,0.20141035,0.20518774,0.20496535,0.19852519,0.18842983,0.18230735,0.18335158,0.18946244,0.19323446,0.19463865,0.20349145,0.23709328,0.29762402,0.36436257,0.40116954,0.39209798,0.3557404,0.33102605,0.3390826,0.36641338,0.38493934,0.3815949,0.37277046,0.38086525,0.41182038,0.44588575,0.46185938,0.4564086,0.4468659,0.4485146,0.45934644,0.4618962,0.44522467,0.41757727,0.4022831,0.4128057,0.43888426,0.4546337,0.4475131,0.43286958,0.43984136,0.48104772,0.53831464,0.57772297,0.57671994,0.5391053,0.48740363,0.4448794,0.42254826,0.41841146,0.4241514,0.43240663,0.43979028,0.44636503,0.45324874,0.46288586,0.4792253,0.5066178,0.54150295,0.5710189,0.5778379,0.55784756,0.5215648,0.4860259,0.45534706,0.42139688,0.37481618,0.3188323,0.26685047,0.23021847,0.20927133,0.19536273,0.1820875,0.1729512,0.17917399,0.20796998,0.25327632,0.29847148,0.3288044,0.3417398,0.34545743,0.34982064,0.35875836,0.36996636,0.378559,0.38078925,0.37556112,0.3646017,0.350847,0.33630803,0.3201198,0.29991606,0.27470163,0.24761808,0.226483,0.22329956,0.2520744,0.3193731,0.41206178,0.49527895,0.53206223,0.51023793,0.4481138,0.37521407,0.30845383,0.25052524,0.20327087,0.17671782,0.18320608,0.22224437,0.2767215,0.3202823,0.33754233,0.33073914,0.31572193,0.3053719,0.30377018,0.30792627,0.31460735,0.322693,0.3316954,0.3405184,0.34656444,0.34993887,0.35612538,0.37692258,0.41658065,0.46342838,0.49016616,0.48201177,0.45183316,0.43668795,0.4611576,0.51802903,0.5729696,0.59694016,0.5840896,0.5508915,0.51736635,0.49640158,0.48918417,0.49152562,0.4963278,0.49980274,0.50057644,0.5008574,0.5042536,0.5147962,0.53528327,0.5599765,0.5768156,0.57111794,0.54398084,0.50925964,0.48636463,0.4779278,0.47410098,0.46167794,0.44162083,0.42435658,0.421873,0.435264,0.45706758,0.4770719,0.49312338,0.5110701,0.53702146,0.56655526,0.5859591,0.58454484,0.56487364,0.53921527,0.51810914,0.5042406,0.49571022,0.49035728,0.48709682,0.48470637,0.48310232,0.48219383,0.48348102,0.48860124,0.5022004,0.52389234,0.5468945,0.55633116,0.5474179,0.5295978,0.5246806,0.54150194,0.56914,0.58178777,0.5649812,0.5253156,0.48498368,0.46079585,0.4546375,0.45757258,0.4615256,0.46357325,0.4626111,0.45622873,0.44271457,0.42699048,0.4203649,0.43541896,0.47282553,0.518162,0.54665846,0.543634,0.51320505,0.47525954,0.44691408,0.43414798,0.43355015,0.44019112,0.45055416,0.4607482,0.46714962,0.4672338,0.46387365,0.46490228,0.48218706,0.52212197,0.5776505,0.62640876,0.64396435,0.62219244,0.57483006,0.5274892,0.49782455,0.48923698,0.49312678,0.49984598,0.50272614,0.5007034,0.49605855,0.49338052,0.4976318,0.51323885,0.5404763,0.5711745,0.5904804,0.58581305,0.5588532,0.52210957,0.48735377,0.45276883,0.40926325,0.35342637,0.295794,0.25411913,0.23970003,0.25094917,0.2755554,0.30052873,0.3185959,0.33016634,0.3387631,0.3463148,0.35178158,0.35339794,0.3517625,0.34923112,0.34827292,0.34933996,0.35177195,0.35408184,0.35493913,0.35311,0.348652,0.343199,0.33912396,0.33785614,0.3383161,0.3385489,0.33707562,0.33723712,0.34718475,0.37869033,0.4347271,0.499935,0.5420349,0.5349065,0.4809878,0.41020226,0.3555715,0.3302535,0.32807752,0.33798075,0.35423973,0.37377355,0.3901082,0.3940765,0.38118005,0.3566389,0.33197626,0.3162262,0.3108493,0.3120776,0.31593314,0.3208365,0.32651803,0.3326722,0.33799526,0.341078,0.343799,0.35377467,0.38146663,0.42644188,0.4711415,0.48875463,0.4715118,0.4411176,0.4349246,0.46937656,0.52804035,0.57672805,0.5947326,0.5836219,0.55808,0.53105783,0.51060694,0.5011081,0.5029643,0.5116829,0.52130204,0.5288506,0.53645825,0.5473395,0.56292987,0.5804786,0.5924591,0.590565,0.5704066,0.53860885,0.5070073,0.48421517,0.46921444,0.45586196,0.44411886,0.44034302,0.45457017,0.48650765,0.52474433,0.54993206,0.55294603,0.54213643,0.5383635,0.5523892,0.5762244,0.58853984,0.57940745,0.5539016,0.5290077,0.51232773,0.50389224,0.49765205,0.49624765,0.5060713,0.5315659,0.56140774,0.57576436,0.55982846,0.5224068,0.4853371,0.4665614,0.46191344,0.45864284,0.4492482,0.44116452,0.44303516,0.45549694,0.46918488,0.47714356,0.48205578,0.4958172,0.5262514,0.566963,0.59755045,0.6001758,0.5738883,0.53509647,0.50014824,0.47420487,0.45172286,0.43233672,0.42357957,0.437247,0.4702517,0.5051689,0.5172244,0.50004065,0.4675664,0.44460687,0.4420525,0.45176628,0.4577718,0.45324826,0.44792697,0.45415685,0.4733281,0.48959544,0.48970792,0.47858635,0.4809382,0.514543,0.57173425,0.6192458,0.62656134,0.5877748,0.5255553,0.4705287,0.44009605,0.43234244,0.43512484,0.4395046,0.44343504,0.44898793,0.4569867,0.4673002,0.4812447,0.5034937,0.53539115,0.5693288,0.5884573,0.58111984,0.55012655,0.5101121,0.47094664,0.43035388,0.38081405,0.3234965,0.27122086,0.23963295,0.23492777,0.25024417,0.27366462,0.3006792,0.3408002,0.4052498,0.4885446,0.5600973,0.5848314,0.55274576,0.4888037,0.4332229,0.40990865,0.41731107,0.43793312,0.4576478,0.47095063,0.47874263,0.4824009,0.4831749,0.48472846,0.49346903,0.514381,0.5425293,0.5633889,0.5627807,0.5430731,0.5229928,0.5210189,0.5356635,0.5480129,0.5428989,0.5246561,0.50902456,0.5047329,0.5064824,0.50587493,0.5005433,0.49370727,0.4853883,0.47073722,0.44361988,0.4062908,0.37176585,0.36056104,0.38263848,0.42694864,0.46238384,0.46356973,0.4284807,0.3791077,0.33843294,0.31514272,0.30430484,0.30229414,0.3143582,0.34962425,0.4046352,0.45855698,0.48410523,0.47531512,0.45508775,0.45906925,0.5006895,0.56083244,0.6042759,0.6102572,0.5833722,0.5437245,0.50999933,0.49023494,0.48461464,0.4884108,0.49738777,0.50650185,0.5123894,0.51364446,0.51386094,0.52018386,0.5367277,0.55724126,0.5664344,0.55111367,0.51366633,0.46932054,0.43436387,0.4129037,0.40037143,0.39420673,0.39990172,0.42618778,0.47108915,0.51880026,0.54744166,0.5500141,0.54001,0.53962237,0.5557088,0.5739477,0.5733268,0.5460717,0.5026055,0.45970216,0.42916706,0.41249672,0.40629444,0.4063848,0.41110024,0.41951945,0.42922652,0.43748924,0.4446306,0.45607713,0.47758904,0.50545734,0.5263965,0.52525043,0.5050243,0.4857026,0.49264586,0.52767515,0.56853676,0.5854276,0.5715112,0.54608345,0.5328217,0.53593653,0.5377926,0.524081,0.4967921,0.47241065,0.4582082,0.44895777,0.43236172,0.40909132,0.39139876,0.3961816,0.4233912,0.45678195,0.47234476,0.46597794,0.45459697,0.4633688,0.49521968,0.52944183,0.5394777,0.5195108,0.48561797,0.45769393,0.44252947,0.43389168,0.4287548,0.4345872,0.46607733,0.5246037,0.59123826,0.6317293,0.62496287,0.5770065,0.5182024,0.4754193,0.45642483,0.45104787,0.4481142,0.44433784,0.44235304,0.44457862,0.45092627,0.46284345,0.48409224,0.5197499,0.565589,0.6064947,0.62072843,0.6000615,0.55523163,0.507186,0.46547225,0.4234204,0.37306657,0.32272956,0.29860827,0.32184923,0.38608643,0.4539249,0.48657694,0.4773841,0.45930824,0.47135386,0.5205313,0.57270557,0.58696395,0.5498634,0.4850876,0.42611387,0.39180386,0.37920234,0.377869,0.38145518,0.3894761,0.4017117,0.41551557,0.42837802,0.44208857,0.46218213,0.49151346,0.52298766,0.5418251,0.53815484,0.5195503,0.50655943,0.5127867,0.5307644,0.53918856,0.52721673,0.5028163,0.48364988,0.4762275,0.4757974,0.47430873,0.47121954,0.4691496,0.46752882,0.46016875,0.44072723,0.41280374,0.39127234,0.39611813,0.43204892,0.4811975,0.5088904,0.49296153,0.43789327,0.37184453,0.3209263,0.29591215,0.29297283,0.30740294,0.33915487,0.38822317,0.44329122,0.4822329,0.48690477,0.46424723,0.44502982,0.45864117,0.50485903,0.552486,0.5688369,0.5450647,0.5002274,0.4567137,0.42553174,0.40328646,0.38786936,0.38089418,0.38641927,0.40064275,0.41547838,0.42382893,0.42868856,0.44095954,0.47034523,0.51334953,0.55210394,0.5670591,0.5536723,0.5260267,0.50429434,0.49871555,0.5036765,0.5082715,0.507567,0.50989485,0.5226372,0.542924,0.55420285,0.5490616,0.5375828,0.53958815,0.557009,0.5694615,0.5532975,0.5072563,0.4521807,0.41182494,0.393702,0.39220068,0.39701012,0.4036591,0.40949908,0.41500017,0.41935208,0.42395225,0.42898282,0.4354715,0.44244564,0.4482632,0.450291,0.44795075,0.443445,0.4408122,0.44226995,0.44674692,0.45004034,0.44971743,0.44657406,0.44558677,0.44895044,0.45519745,0.45933148,0.46081325,0.4626151,0.46870843,0.477355,0.48354912,0.48238346,0.47387335,0.4619551,0.45190093,0.44667944,0.4455233,0.44644722,0.44847563,0.45259938,0.45879248,0.4655684,0.4710475,0.4747831,0.47707924,0.47799298,0.47702682,0.47406363,0.46909234,0.46491823,0.46701345,0.48322392,0.5129073,0.543983,0.5553821,0.53584677,0.491594,0.44320664,0.40827796,0.3921729,0.38911867,0.39044997,0.39010403,0.3857416,0.37765446,0.36804393,0.35976663,0.35513067,0.35450187,0.35609224,0.35717738,0.3560215,0.35375175,0.3535836,0.3573475,0.36098513,0.3539474,0.32531288,0.27300736,0.20860797,0.15096264,0.114379115,0.10009725,0.10119766,0.111952566,0.13506544,0.1734301,0.22296675,0.26792404,0.29472527,0.2988686,0.2888446,0.27416,0.26100895,0.2501271,0.2413398,0.2344449,0.22919118,0.22505237,0.22125192,0.21712565,0.21200554,0.20566809,0.1984843,0.19128223,0.18482183,0.1793595,0.17461781,0.1700188,0.16525593,0.1604372,0.15616639,0.1529584,0.15116371,0.15034412,0.14962967,0.1477532,0.14501458,0.14400737,0.15026571,0.1678272,0.19528688,0.22231168,0.2359332,0.22827262,0.20362322,0.17351013,0.14908113,0.13393675,0.12599288,0.12134612,0.118045665,0.11568797,0.11424666,0.113119684,0.11255646,0.11529098,0.12714982,0.152606,0.1905539,0.23193932,0.2667732,0.28976616,0.30377558,0.3124125,0.31641343,0.31228098,0.2994471,0.28108436,0.26312312,0.24828966,0.23651497,0.22606015,0.21657586,0.20839067,0.2016741,0.19555907,0.18886064,0.18120058,0.17398699,0.17027467,0.17303093,0.18228723,0.19374077,0.20161206,0.20344837,0.20355834,0.20867783,0.22214697,0.23896174,0.25024045,0.24955547,0.23777314,0.220985,0.2050104,0.19275148,0.18461438,0.18273075,0.19197585,0.21691687,0.25572336,0.29706624,0.32638505,0.33465102,0.3245013,0.30547392,0.28724384,0.27411428,0.26573277,0.25956047,0.25352407,0.24720173,0.24105467,0.23564993,0.23103382,0.22751181,0.22545403,0.22473025,0.22434,0.22307627,0.22101183,0.21989228,0.22310369,0.23349315,0.2509923,0.27089122,0.28570458,0.28978872,0.28231147,0.26739207,0.25024703,0.2351283,0.2235176,0.21520765,0.20971145,0.20853703,0.21624601,0.23606372,0.26616338,0.29666424,0.31722423,0.32200086,0.31391123,0.29874182,0.28208303,0.2661221,0.2517668,0.2387854,0.22726725,0.21720208,0.20947695,0.20524229,0.20515351,0.20793326,0.21039383,0.20957701,0.20474792,0.19769244,0.19080901,0.18542264,0.1817577,0.17941792,0.1778097,0.17600705,0.17310424,0.16893989,0.16408117,0.15972579,0.15694475,0.15713714,0.16125636,0.16931981,0.17897211,0.18665336,0.1892888,0.18630363,0.17919469,0.1700735,0.16064046,0.15193778,0.14487344,0.1397841,0.13636963,0.13369174,0.1310647,0.12859738,0.12673295,0.12554981,0.12421984,0.12203309,0.11892018,0.11567395,0.112885915,0.11061078,0.10852572,0.10641902,0.10433119,0.10222102,0.10003462,0.09765679,0.09514887,0.09258998,0.09011,0.08779931,0.0856405,0.083508186,0.08122949,0.07879549,0.07629093,0.07380301,0.07129913,0.06872795,0.066129155,0.06360999,0.061297897,0.059201855,0.05729377,0.055496845,0.053829223,0.05232783,0.05104771,0.050010826,0.049232468,0.048758056,0.048561882,0.048583094,0.04867651,0.048756704,0.04873617,0.0485474,0.048134428,0.047497347,0.046756115,0.04603253,0.045459986,0.045048293,0.04477938,0.04452635,0.04408979,0.04313451,0.04133722,0.038625516,0.0353308,0.03204027,0.02919245,0.026856551,0.024817184,0.022876518,0.021021223,0.019375117,0.018079579,0.01719615,0.016738454,0.016672216,0.016949693,0.017484395,0.01817759,0.018923583,0.019645369,0.020312097,0.020968243,0.021703802,0.022596145,0.023624733,0.024648055,0.025473254,0.025953516,0.026095929,0.026005223,0.025818147,0.02557078,0.025247572,0.024854327,0.024491457,0.024315206,0.024394445,0.024684438,0.024978643,0.025040919,0.024622532,0.023613386,0.022045234,0.020093933,0.01795866,0.015776759,0.013630576,0.011569127,0.009671199,0.007996468,0.006590557,0.005437312,0.004501577,0.003729555,0.0030883334,0.0025539082,0.002116224,0.0017614664,0.0014762296,0.0012437202,0.0010503142,0.0008849962,0.00074380374,0.0006298869,0.00055197295,0.0005190312]