[0.09262697,0.098034315,0.108392395,0.11837218,0.12447247,0.12834355,0.13502519,0.14853191,0.16701736,0.18405528,0.19309898,0.19234931,0.18392615,0.1705222,0.15284897,0.13086653,0.106621504,0.08425695,0.06784517,0.057667423,0.050903857,0.044454545,0.039193418,0.03957005,0.0495676,0.06826806,0.08920588,0.104752176,0.11011613,0.10530752,0.0933926,0.07887003,0.06592073,0.05713662,0.052517492,0.049971033,0.047239214,0.043637604,0.040088326,0.037768427,0.0372955,0.039275393,0.045329448,0.056732167,0.07238581,0.08754017,0.09711119,0.098789714,0.09465086,0.088204764,0.08202872,0.076714285,0.07212922,0.068295866,0.0653803,0.06330135,0.06154133,0.059685316,0.05771954,0.056021556,0.054824162,0.05394776,0.053024113,0.051903885,0.050771702,0.04986684,0.049182955,0.048603725,0.048027024,0.047567308,0.047226354,0.04693691,0.04649509,0.046067968,0.04659378,0.05021685,0.059661847,0.07598236,0.096327595,0.113776326,0.12120255,0.11539879,0.098753594,0.07684642,0.05545567,0.039132286,0.031410154,0.034674864,0.049086582,0.071010716,0.0939909,0.11143073,0.12074149,0.12367746,0.12424722,0.12485555,0.12528957,0.12349039,0.11744734,0.10665426,0.09300817,0.080337055,0.07222063,0.06967247,0.070938975,0.07324391,0.07452491,0.0734272,0.068940505,0.060978997,0.051812846,0.046235133,0.04918159,0.062074017,0.080863364,0.0981023,0.10762102,0.10803538,0.10229665,0.09452959,0.08731648,0.081299454,0.07614223,0.07149575,0.06720086,0.06329466,0.059850495,0.056967616,0.054691095,0.053040493,0.0520176,0.05155613,0.05153143,0.051668514,0.05169734,0.051342946,0.050599087,0.049563188,0.04848063,0.047433395,0.046516094,0.045750733,0.045199927,0.044769913,0.044240773,0.04378621,0.044653624,0.04960996,0.060982708,0.07820737,0.09598894,0.1072022,0.10698739,0.09594572,0.0785181,0.059944447,0.04368055,0.031220438,0.022755092,0.017791025,0.015363232,0.014163624,0.012998118,0.011275135,0.00917965,0.007246651,0.0058062035,0.004797607,0.0039871903,0.0032611538,0.0026574105,0.0022542116,0.0020241614,0.0018587188,0.001639509,0.001343545,0.0010229683,0.00075643515,0.0005834327,0.0004976892,0.00056750875,0.001459986,0.0048876903,0.013503648,0.028704682,0.048821244,0.06842492,0.08201454,0.086916514,0.085009314,0.079817094,0.07434467,0.06960398,0.06560654,0.0621118,0.059051752,0.056482125,0.054371547,0.052619416,0.051017016,0.049414188,0.047794268,0.04626962,0.044995204,0.044015646,0.04327941,0.042663023,0.04207026,0.04142989,0.040729333,0.040006813,0.039371934,0.038895454,0.038595166,0.03837117,0.03828816,0.0390051,0.042210016,0.049852815,0.06188507,0.07434508,0.0804858,0.07549382,0.060416967,0.041633856,0.025944868,0.01644744,0.012115766,0.010381519,0.009371337,0.008473584,0.0077280235,0.0072351717,0.006933644,0.006689249,0.0064040576,0.006065348,0.0056859627,0.005262544,0.0047884486,0.004306947,0.0039195465,0.003714608,0.0036832523,0.003707203,0.003645257,0.003450565,0.0034749818,0.004871402,0.009826616,0.020443486,0.036645196,0.05489753,0.069841005,0.07832155,0.081162125,0.08193865,0.08274832,0.083474785,0.0825123,0.07957386,0.07541656,0.07130849,0.06777004,0.06488448,0.06269217,0.061506983,0.061563924,0.0625694,0.06367445,0.06403404,0.06332499,0.061799508,0.059844077,0.05773869,0.056016516,0.055956956,0.059673596,0.068483286,0.08158147,0.09534061,0.105865456,0.11098218,0.11160127,0.109987766,0.108485095,0.109225266,0.117269754,0.14253403,0.19779013,0.28552395,0.38944545,0.47572443,0.51665807,0.50662446,0.46482775,0.41543958,0.37328553,0.3393257,0.3081279,0.2747213,0.2390989,0.20584625,0.18155496,0.16929843,0.16748147,0.17150734,0.17901768,0.19006242,0.20516737,0.2218218,0.23598593,0.24461651,0.247824,0.24759643,0.24498974,0.23873778,0.22548468,0.20437263,0.18007909,0.1624069,0.15874468,0.169149,0.19008781,0.2241474,0.28014922,0.35946706,0.4424195,0.496308,0.49955067,0.45928952,0.40231922,0.35318556,0.32002273,0.29877758,0.2835244,0.2724396,0.2670236,0.2687979,0.27699688,0.2874185,0.2943892,0.2943107,0.28868088,0.28367817,0.2851383,0.2948432,0.308244,0.31885338,0.32087445,0.3135458,0.29958227,0.2847059,0.27342758,0.26782992,0.26668397,0.26781842,0.27017787,0.27483723,0.28374267,0.29707137,0.31008875,0.3142686,0.30125737,0.27006683,0.22728729,0.18414026,0.14978556,0.12902598,0.121464245,0.122744896,0.1277094,0.13339703,0.1406082,0.15046902,0.16173752,0.17013018,0.17209272,0.16691971,0.1569644,0.14395918,0.12814787,0.10868318,0.088013045,0.07184835,0.06762897,0.07813973,0.09907267,0.11933845,0.12848072,0.124110855,0.11516464,0.115092814,0.13135278,0.16088332,0.19845061,0.2439209,0.30145237,0.3643823,0.41596845,0.4368665,0.42586553,0.3942003,0.35983,0.33115676,0.31162074,0.29928684,0.2930704,0.29107386,0.29185832,0.2937638,0.29530814,0.29608262,0.29687008,0.29834402,0.29971388,0.29825318,0.29194605,0.280772,0.26755527,0.2553932,0.24631256,0.24022488,0.23626666,0.2337987,0.23244356,0.23231418,0.23334236,0.23668145,0.24354671,0.25489214,0.26917398,0.28083643,0.28200352,0.26562452,0.23311323,0.19331503,0.15898444,0.13647012,0.124946214,0.11872706,0.11376179,0.10825778,0.10165528,0.09286063,0.0811746,0.06723835,0.053122256,0.04087254,0.031547632,0.025283968,0.022026686,0.021626877,0.023371255,0.02598115,0.028822104,0.033106145,0.041480202,0.055341095,0.072709955,0.08867487,0.09898859,0.10280345,0.10310615,0.10428304,0.11264668,0.13648564,0.18638802,0.26333353,0.35282388,0.42413202,0.45414245,0.4402845,0.4036828,0.367095,0.34251937,0.3281244,0.31841078,0.31063738,0.30538812,0.30440608,0.30773652,0.31430802,0.32170895,0.32777905,0.3308009,0.33072534,0.3291472,0.32785586,0.32707977,0.32453594,0.31803253,0.3076758,0.29641044,0.2872436,0.28126702,0.27838054,0.27907506,0.28467682,0.29511592,0.3082534,0.3208823,0.33121738,0.3367509,0.33344388,0.31468987,0.27844566,0.2290373,0.17779845,0.13483627,0.10525087,0.087352216,0.07664373,0.07004262,0.06753128,0.07080474,0.07867531,0.08637609,0.08764013,0.08134841,0.07299555,0.07332185,0.089701466,0.12182224,0.15911347,0.1886211,0.201687,0.2001841,0.19244026,0.18754399,0.1890121,0.19451745,0.19856183,0.19687964,0.189592,0.18049228,0.17616832,0.1836853,0.21227817,0.26526126,0.33534297,0.39788792,0.42947948,0.4199424,0.38441026,0.3442305,0.31606647,0.30098113,0.29445565,0.29078826,0.28770247,0.28428197,0.28053653,0.27699733,0.27409497,0.2715958,0.26881036,0.26526687,0.26144612,0.25796306,0.25509608,0.2524996,0.24968064,0.24639176,0.24254291,0.23833865,0.23419465,0.23065448,0.22780822,0.22526681,0.22244312,0.21989365,0.21962644,0.22431183,0.23375775,0.24268298,0.24192214,0.22547978,0.19637007,0.1676218,0.15364102,0.160473,0.18003076,0.19631244,0.19723631,0.18354172,0.16688685,0.15949477,0.16541146,0.17861223,0.18956064,0.19302635,0.19195576,0.19402461,0.20387888,0.21858872,0.228648,0.22523247,0.2064401,0.17963134,0.15729332,0.14807583,0.15108247,0.15514702,0.14877559,0.1281192,0.10178429,0.08601985,0.09790578,0.14857864,0.23499139,0.33768854,0.4242138,0.4674312,0.45939872,0.4156672,0.36211136,0.31949046,0.2958512,0.28750303,0.2869518,0.28753483,0.28765026,0.2885914,0.29233742,0.29806507,0.30247474,0.3017743,0.29424214,0.28144583,0.2676021,0.25811127,0.25667885,0.2632016,0.2730868,0.28063226,0.28319746,0.28389466,0.28854823,0.30055985,0.31681517,0.32982847,0.33319512,0.32706508,0.31732187,0.30969787,0.30305555,0.29005066,0.26490375,0.23091449,0.19883658,0.17746627,0.16617642,0.15644217,0.14019714,0.11631376,0.09071062,0.07135468,0.06431875,0.07260668,0.09592658,0.12917463,0.16181237,0.18261981,0.18612216,0.1756912,0.15845373,0.13998668,0.12276586,0.10977262,0.104970925,0.11042774,0.12272456,0.13505729,0.14219533,0.144378,0.1454288,0.1485054,0.15352182,0.16172433,0.18156774,0.22663198,0.299811,0.38134775,0.43639264,0.4427674,0.40680113,0.35627434,0.31527674,0.2924969,0.28327647,0.28062963,0.27989432,0.27917063,0.27820054,0.27744994,0.27771184,0.2793701,0.2819471,0.2842069,0.28442934,0.281805,0.27717698,0.27247047,0.268901,0.26570892,0.26138508,0.25529307,0.24840707,0.24221297,0.23856427,0.23979664,0.24843757,0.26438472,0.28364778,0.29989347,0.30787578,0.3042052,0.286036,0.25164363,0.20392884,0.15220226,0.10907144,0.08362161,0.07717037,0.083553225,0.09398478,0.10252597,0.107916035,0.11143983,0.113454044,0.1139837,0.11478733,0.11910498,0.12740688,0.13473986,0.13345036,0.11947175,0.096011825,0.07247452,0.059036564,0.06125856,0.07676784,0.09696117,0.11278016,0.120796286,0.1251623,0.1326728,0.14650865,0.16461176,0.18540962,0.21538891,0.2640306,0.3336734,0.40550056,0.45240283,0.4538368,0.4169384,0.36443317,0.32130495,0.29585123,0.2846115,0.27889016,0.27435628,0.27018598,0.26755986,0.2662389,0.26532552,0.26369783,0.26191112,0.2615099,0.26436257,0.27110994,0.28048813,0.28943297,0.29455626,0.29440323,0.29047465,0.28590807,0.2827909,0.28050375,0.27667066,0.26954702,0.2601529,0.25203004,0.24966557,0.2553252,0.2673644,0.27872285,0.28094462,0.2684104,0.2442789,0.21658547,0.19279064,0.17238708,0.15035246,0.12253639,0.09135679,0.06348381,0.04552606,0.04006074,0.045279905,0.05661126,0.068864174,0.07858301,0.08461699,0.08820757,0.09086908,0.09399765,0.097657494,0.10232135,0.10883644,0.1193339,0.13399184,0.14949234,0.15805505,0.15373856,0.13780357,0.12226566,0.12174231,0.14483012,0.18800043,0.24318843,0.30295774,0.362808,0.41253746,0.44046545,0.43918705,0.41706708,0.3890694,0.3682886,0.35582504,0.3471662,0.33691394,0.32414997,0.31037936,0.29858658,0.29047015,0.28591993,0.28266847,0.27884936,0.27475408,0.27317998,0.27635393,0.2835292,0.29068497,0.29382834,0.29190645,0.2872899,0.28324592,0.28123322,0.28014827,0.27806613,0.27433446,0.2707201,0.2696395,0.27232537,0.27708682,0.28109968,0.27998385,0.2700443,0.24731486,0.21331346,0.17365469,0.13799988,0.11118051,0.09289914,0.07830778,0.06577164,0.058468606,0.06448285,0.08963114,0.13304007,0.18283011,0.22254772,0.23814167,0.22770919,0.1991936,0.16578084,0.13605197,0.11335549,0.098129384,0.09478127,0.11109507,0.1515017,0.20842712,0.26283836,0.2957233,0.3009623,0.2879447,0.27198353,0.26397973,0.2686516,0.29199302,0.3418093,0.4189259,0.50446934,0.5657627,0.57779497,0.542103,0.48440206,0.4326737,0.40200612,0.3910071,0.3926437,0.39910415,0.4056339,0.40886512,0.4082509,0.4050918,0.4018285,0.39976886,0.39868233,0.3972653,0.39466214,0.39072898,0.3860395,0.38177392,0.3794887,0.37989712,0.38071188,0.3769504,0.36350694,0.33966506,0.31039897,0.28428212,0.26779154,0.26194298,0.2631549,0.26902092,0.27978027,0.2962387,0.3131684,0.3225617,0.31855157,0.30538192,0.29260504,0.28878826,0.29395092,0.30214202,0.30690753,0.30647668,0.30325103,0.30038533,0.29919812,0.29876956,0.29750714,0.29426122,0.2895768,0.28498515,0.28211904,0.28097323,0.28041098,0.2791798,0.2771268,0.27445677,0.27095965,0.2655526,0.25749633,0.24677855,0.23516136,0.22475584,0.21757203,0.21491317,0.22209696,0.24917684,0.30402672,0.376488,0.43788302,0.45812646,0.43261448,0.38230166,0.33734033,0.31370053,0.3123989,0.32458213,0.34000966,0.34952283,0.348829,0.34058395,0.3310345,0.32434952,0.31966117,0.31452218,0.30925873,0.3071567,0.3104752,0.31773844,0.3245174,0.32732046,0.32522193,0.31992725,0.31325498,0.30634525,0.29935166,0.29346883,0.29122573,0.29560363,0.30711755,0.32287487,0.33889353,0.35189247,0.3606045,0.36330295,0.35971305,0.3509215,0.34046254,0.3307253,0.3221805,0.31397387,0.3057642,0.29769886,0.28885055,0.27728164,0.2615452,0.24247025,0.2223938,0.20249696,0.18203737,0.16017659,0.13914278,0.12302774,0.11475691,0.11428916,0.12188178,0.1407395,0.17422636,0.21959563,0.26498067,0.29537204,0.2999905,0.27783388,0.23521674,0.18398434,0.13940214,0.12069752,0.14611952,0.21961963,0.32051978,0.4079794,0.44888377,0.43931606,0.40394273,0.37101793,0.35350093,0.34879604,0.34894764,0.3487982,0.3458723,0.3405348,0.33449998,0.33027813,0.32874712,0.32840335,0.32676926,0.32230994,0.31608537,0.3099023,0.30461168,0.29877588,0.29072335,0.2809275,0.27284846,0.27061808,0.27542213,0.2840931,0.2914934,0.29444447,0.2936286,0.29222968,0.29326975,0.29838762,0.3059351,0.31182647,0.30933294,0.2943835,0.26581088,0.22793676,0.1876996,0.15595785,0.14193745,0.14876778,0.16875476,0.18974179,0.20309603,0.20868184,0.21079029,0.21246378,0.21399415,0.2144007,0.214135,0.21406488,0.21405649,0.21119355,0.20173658,0.18554394,0.16840301,0.15833855,0.15753318,0.15992606,0.15679878,0.14670801,0.13754493,0.14164132,0.16473915,0.20468391,0.2542344,0.31330535,0.38199344,0.4552667,0.5100786,0.526426,0.49813524,0.44561148,0.39291367,0.35761023,0.34047338,0.33545673,0.33441332,0.33277735,0.33057454,0.33016643,0.3339829,0.34109953,0.34914514,0.355057,0.35691535,0.3534687,0.34497336,0.33388248,0.32439175,0.31994247,0.32053778,0.32249135,0.32143784,0.31546378,0.30657193,0.2981363,0.29307297,0.29188707,0.29479313,0.30146262,0.31158218,0.32186505,0.32671237,0.31968153,0.29807654,0.26406446,0.22416697,0.18597691,0.15672511,0.14063533,0.13844196,0.14711227,0.16351308,0.18562514,0.21161301,0.23709357,0.25579488,0.26384595,0.2610546,0.24976115,0.23098004,0.20617862,0.17941563,0.15904857,0.15398054,0.16883771,0.20044394,0.23861504,0.27013984,0.2839135,0.2737458,0.24008791,0.18968666,0.1347822,0.09131757,0.07630033,0.10644201,0.18624432,0.30095708,0.41090938,0.4767702,0.47923228,0.43470287,0.37527272,0.32990232,0.30815235,0.30491075,0.30837485,0.309424,0.30419162,0.2934185,0.27919957,0.26393995,0.25084686,0.24429865,0.24858253,0.2640338,0.28626248,0.30688074,0.3197538,0.32314423,0.32041,0.31465015,0.30769268,0.29929122,0.2902974,0.28127944,0.2737426,0.2684295,0.26810527,0.2751104,0.29143715,0.31359658,0.33299962,0.3365879,0.31533524,0.27061948,0.21667069,0.17310657,0.15405488,0.16090982,0.1832361,0.20618653,0.21917146,0.21975619,0.21277697,0.2044869,0.2002242,0.20269726,0.21315663,0.22854795,0.24160735,0.24322432,0.22933029,0.20348871,0.1747356,0.15147556,0.13825,0.13559842,0.14149188,0.15254039,0.16523856,0.17820318,0.19252205,0.20945735,0.22884125,0.25101525,0.28209183,0.32791165,0.38489243,0.43162107,0.44618997,0.4222453,0.37763464,0.33511952,0.30850303,0.2974007,0.29664364,0.30112994,0.3071315,0.31168482,0.313308,0.31227314,0.3097351,0.3073536,0.30673835,0.3092636,0.3146524,0.32134226,0.32642165,0.32720408,0.3221086,0.31216982,0.30072054,0.2917561,0.2874138,0.2873976,0.2894596,0.29124057,0.29115602,0.28972444,0.28944603,0.29282156,0.2988511,0.30125892,0.29219747,0.2686209,0.23633575,0.20574927,0.18441452,0.17198898,0.16345085,0.15415196,0.14261074,0.12861183,0.11203727,0.093718015,0.07665525,0.06435819,0.0579222,0.05522579,0.05339199,0.05200148,0.053031024,0.059288204,0.0711322,0.08757069,0.10679189,0.12960626,0.15725267,0.18928634,0.2198987,0.2403961,0.2444905,0.23245098,0.21066344,0.18887089,0.17980431,0.19944127,0.25892892,0.35175958,0.44667745,0.50465876,0.50537163,0.46183595,0.40655684,0.36654183,0.3498199,0.3495091,0.35576573,0.36173904,0.36458674,0.36248195,0.354401,0.340692,0.3248552,0.31285334,0.3090861,0.31338656,0.3196284,0.32103908,0.31382024,0.30041918,0.28648826,0.27808988,0.27810314,0.2851605,0.29410645,0.2989421,0.2966783,0.28952083,0.2827792,0.2812247,0.28519824,0.29152396,0.2938477,0.28718367,0.26934436,0.24505359,0.22214542,0.20805264,0.20419054,0.20726673,0.21138018,0.21085072,0.2017901,0.18469912,0.16597295,0.15492135,0.15694372,0.16859503,0.18019645,0.18414854,0.18089086,0.17711724,0.1781316,0.18366289,0.1891724,0.1913768,0.1897956,0.18624212,0.18202473,0.17783146,0.173451,0.16978504,0.16899526,0.17430149,0.18754305,0.21062088,0.24825549,0.30537584,0.37786195,0.44468543,0.48007485,0.47177386,0.43271515,0.38684973,0.35263395,0.33413067,0.32810786,0.32975677,0.3351654,0.33961138,0.33913577,0.3319956,0.32021806,0.30773473,0.29833856,0.29322505,0.29170266,0.29232955,0.29469505,0.2985079,0.30318806,0.30773434,0.3114438,0.31383178,0.31389543,0.3106006,0.30414963,0.2968713,0.2917635,0.29037687,0.29211038,0.295434,0.2989664,0.29923382,0.29103354,0.2687743,0.23409052,0.1942512,0.15889652,0.13119589,0.10999698,0.09405749,0.08686789,0.09225925,0.10862938,0.12620397,0.13438463,0.12936866,0.11824408,0.11165839,0.11588202,0.12753765,0.13715146,0.13574223,0.12119669,0.09996072,0.08308188,0.07895878,0.088156186,0.10380924,0.11715007,0.12264305,0.1202044,0.11320665,0.10554492,0.09926706,0.09438763,0.09025518,0.08650299,0.083353706,0.08032832,0.07641301,0.07032332,0.062182143,0.053349275,0.04580733,0.040503222,0.03699057,0.03401119,0.030653551,0.026889807,0.023228057,0.020207914,0.018100904,0.017049553,0.017005473,0.017650908,0.018319158,0.018361017,0.017595492,0.016611421,0.016721034,0.019455537,0.025794841,0.03513522,0.045351718,0.053793266,0.059362877,0.06301755,0.06736394,0.07436722,0.08444936,0.0956651,0.105681,0.11305227,0.11897982,0.12560344,0.13441719,0.14447288,0.15340902,0.15824984,0.15590064,0.14394723,0.12271904,0.09760329,0.07676445,0.06693946,0.06984699,0.08348891,0.10400612,0.1257577,0.14140975,0.14392066,0.13110088,0.10669282,0.078680985,0.05520064,0.042472888,0.04381713,0.059264194,0.08503423,0.114292376,0.13963391,0.15609588,0.16244425,0.16048712,0.15339129,0.14445442,0.13622178,0.13026564,0.12715147,0.12666559,0.12730588,0.12631999,0.120825976,0.110156395,0.09685337,0.0847631,0.07600075,0.06936857,0.062450293,0.054042846,0.045324896,0.038083576,0.033223994,0.030262092,0.028315416,0.026843973,0.025790064,0.02522807,0.024991518,0.02471898,0.024297372,0.02489584,0.029199407,0.04020499,0.05766825,0.07649914,0.08896049,0.09146526,0.08801668,0.08710015,0.09362952,0.10503215,0.114979155,0.1204269,0.124474354,0.13271247,0.14770974,0.16703998,0.18588261,0.20078017,0.21112663,0.21732044,0.21838681,0.21117198,0.1937548,0.16924034,0.14695185,0.13644451,0.13998407,0.14956146,0.15353706,0.14693724,0.1361293,0.13300322,0.14401622,0.16469465,0.18422073,0.19481848,0.1964866,0.19420068,0.19160841,0.18819886,0.18069221,0.16774373,0.15205397,0.13937038,0.13308144,0.13160957,0.1297335,0.12440909,0.11703203,0.111355595,0.108851664,0.10779858,0.10545322,0.100628115,0.09356465,0.08495051,0.075431846,0.06614646,0.058445785,0.053116698,0.049798016,0.047724087,0.04656096,0.046631563,0.048048288,0.050189015,0.05166382,0.051169008,0.0483269,0.0446158,0.04332244,0.048249412,0.06103931,0.07917577,0.09670329,0.10809667,0.11228027,0.112636395,0.113233626,0.114720695,0.115212806,0.11392648,0.11450834,0.12294132,0.14306624,0.17226128,0.20250367,0.22516185,0.23649214,0.23833853,0.23432155,0.2256356,0.2108198,0.18950677,0.16563515,0.14651172,0.13816364,0.14093347,0.15006518,0.15959513,0.16684212,0.17227672,0.17737146,0.18190335,0.18427157,0.18301058,0.17814618,0.17100932,0.16264014,0.15286742,0.14053877,0.12597759,0.11274317,0.10671013,0.11139313,0.1243169,0.13910387,0.15288585,0.17007925,0.19757967,0.2350582,0.27298895,0.30018938,0.31327078,0.3169866,0.3178154,0.3181931,0.31749603,0.31475854,0.31122184,0.30872488,0.30916134,0.31216064,0.31588534,0.3173702,0.31526816,0.31016776,0.30418888,0.29892048,0.2947156,0.2908601,0.28727138,0.284927,0.28549698,0.28874764,0.29266536,0.29426906,0.29221022,0.28572604,0.27375883,0.25413105,0.22726224,0.199115,0.18196668,0.18656926,0.21419518,0.25244293,0.28423572,0.29811835,0.29504016,0.28299758,0.269944,0.2588261,0.24932152,0.24146648,0.23694088,0.2376389,0.24244589,0.2478505,0.25004214,0.24863984,0.24616976,0.24670596,0.2517631,0.2600295,0.26690102,0.268857,0.26389238,0.2529621,0.23680878,0.21704419,0.1960777,0.17849298,0.16831541,0.16734116,0.17383361,0.18630493,0.20567138,0.23742723,0.28352717,0.33777586,0.38274154,0.40371612,0.39687443,0.37337765,0.34666717,0.3258406,0.3116721,0.30315647,0.29991913,0.3055253,0.3218161,0.3463652,0.36852786,0.37778378,0.36924076,0.34887633,0.32834408,0.31893086,0.32571122,0.34630075,0.37449434,0.40576753,0.4371233,0.46528932,0.48195514,0.48183727,0.4652677,0.4424275,0.42284203,0.4116919,0.40709707,0.4070643,0.41312596,0.4297938,0.45757768,0.48883748,0.51065046,0.51502204,0.50356466,0.4851376,0.4671179,0.45240232,0.44129384,0.4356099,0.43960062,0.45561215,0.48020983,0.5027887,0.51288176,0.5067564,0.4900398,0.4707782,0.45391083,0.43941605,0.42730662,0.42015648,0.42390117,0.4416046,0.46913862,0.49335957,0.501129,0.48811176,0.46161565,0.43309224,0.40977585,0.39348945,0.38443127,0.38573733,0.4023272,0.43555334,0.47733244,0.51060534,0.51971585,0.50173193,0.46925607,0.43992332,0.42437366,0.4215435,0.42520913,0.43164483,0.4437579,0.46426377,0.49047294,0.5108437,0.5157757,0.50304717,0.4812359,0.4595541,0.44367108,0.43272987,0.4256897,0.42348036,0.43134665,0.4508132,0.47719026,0.49751472,0.50344235,0.49446604,0.47905922,0.46279633,0.44695106,0.4286789,0.40930018,0.39421186,0.39288834,0.40613052,0.42432237,0.4271604,0.4058973,0.36658323,0.32827878,0.3008604,0.28391603,0.27112696,0.263523,0.2703266,0.3034468,0.36492112,0.4389484,0.49671355,0.5166909,0.49982253,0.46707395,0.44026074,0.42904294,0.43169162,0.4442965,0.4666152,0.49941507,0.53794116,0.5686601,0.5753197,0.55173904,0.50761193,0.46330214,0.4350526,0.42705974,0.4327476,0.4446523,0.46176776,0.48693785,0.51819843,0.5424917,0.5455598,0.5254441,0.49803564,0.48192355,0.4825902,0.48859227,0.48690143,0.47651067,0.47051194,0.48153567,0.5083626,0.533631,0.5396249,0.52402884,0.5030953,0.4930085,0.49528217,0.49358642,0.47590706,0.44522607,0.42399597,0.42949644,0.46237373,0.49892434,0.5156591,0.50549,0.4862515,0.47687098,0.4809611,0.4818354,0.46733117,0.44170573,0.42788193,0.44097972,0.47823262,0.51481915,0.53087825,0.5225474,0.50848794,0.50384104,0.51114833,0.51541793,0.50783175,0.4909817,0.481199,0.48759028,0.50784093,0.52629113,0.53306645,0.5292168,0.5280885,0.53578234,0.54641604,0.54399925,0.5242927,0.4984053,0.48692903,0.497512,0.52061933,0.5366853,0.5357116,0.5229709,0.5131533,0.512862,0.5154424,0.50581604,0.4792908,0.44549802,0.4230317,0.41967916,0.42767397,0.4301554,0.41753232,0.39303422,0.365949,0.34152845,0.31668487,0.28562042,0.24588926,0.2024842,0.16519165,0.1429917,0.13809794,0.14465167,0.15361963,0.15906705,0.1611342,0.16298465,0.16618736,0.16914433,0.1692999,0.16678958,0.1641009,0.1641454,0.16703117,0.17143552,0.17537631,0.1781528,0.17907637,0.17788565,0.17437162,0.16885315,0.16263115,0.15789686,0.15717418,0.1604606,0.16474436,0.16524486,0.1590745,0.14617918,0.12882547,0.10975682,0.09180119,0.07687504,0.06658786,0.06252294,0.06837099,0.08760115,0.120872654,0.16216955,0.20246345,0.23403974,0.25484386,0.2663877,0.27142784,0.27184048,0.26898694,0.26273796,0.25254855,0.23782463,0.22061847,0.2032789,0.18766843,0.17338651,0.16054599,0.15004423,0.14398246,0.14621101,0.16630648,0.21680081,0.30325118,0.40783897,0.49439263,0.5279622,0.5036554,0.44444218,0.382412,0.33450675,0.3021433,0.280933,0.26827005,0.26240999,0.25951168,0.255983,0.25090787,0.24736756,0.24893725,0.256818,0.26767185,0.2764431,0.27906647,0.2752125,0.26690087,0.2571093,0.24826445,0.24194503,0.23862426,0.23750317,0.23741128,0.23846401,0.24182312,0.24832161,0.255924,0.26199627,0.2655786,0.26742145,0.26701725,0.26048434,0.24673931,0.22826529,0.21103387,0.19443582,0.17499374,0.15030621,0.12824784,0.11967724,0.13119316,0.15758838,0.18730837,0.2084559,0.21433294,0.20347159,0.17904831,0.14782391,0.118840106,0.101109274,0.10052685,0.116793,0.14285332,0.16789706,0.1833545,0.18673968,0.18127106,0.17183971,0.16230014,0.15477204,0.15063155,0.15041609,0.15680258,0.17748272,0.2262908,0.30953547,0.41309786,0.49902073,0.53194976,0.50294966,0.43771744,0.37129998,0.32623515,0.30282786,0.2917157,0.28423396,0.27918553,0.27953982,0.28803086,0.30268928,0.31715378,0.32572636,0.32708684,0.3248334,0.3225635,0.32125172,0.31866845,0.31249627,0.3021908,0.28975365,0.27843904,0.27058136,0.26685938,0.26605046,0.2673763,0.27054083,0.27633223,0.28532985,0.29722396,0.31006157,0.3188888,0.3181914,0.30443183,0.28042427,0.2531585,0.22966047,0.21230805,0.19886589,0.1863314,0.17419368,0.16577275,0.1647741,0.17146635,0.18091601,0.1868379,0.18659441,0.18324582,0.18159123,0.18378037,0.18711405,0.18742795,0.18226695,0.17299174,0.16227712,0.15200973,0.14225346,0.13372745,0.12928003,0.13320296,0.14709793,0.1676883,0.18780696,0.20158239,0.20995958,0.22331892,0.25873807,0.3259202,0.41452932,0.49203205,0.5262547,0.50864196,0.4592272,0.40773955,0.3717997,0.35356846,0.34605289,0.34342217,0.34143972,0.33843878,0.33298162,0.32471082,0.3136686,0.30152935,0.29065004,0.28309143,0.27869895,0.275443,0.27073947,0.26321134,0.25338617,0.24288756,0.23349498,0.22587045,0.21963751,0.213533,0.2065292,0.19841744,0.19007866,0.18346138,0.18122043,0.18639982,0.19904955,0.2139798,0.22026908,0.20877041,0.17818786,0.13728338,0.09779999,0.06780584,0.048686143,0.037725568,0.03172106,0.029146522,0.030431306,0.036395613,0.046512622,0.057978213,0.06707382,0.07119735,0.070320465,0.06627305,0.061403465,0.05740944,0.055870995,0.058944438,0.06945907,0.08858972,0.11363643,0.1379887,0.15485801,0.16135348,0.15921263,0.15214372,0.14239003,0.13367343,0.13524908,0.16566761,0.23655252,0.33902434,0.43401846,0.48266748,0.46945485,0.41788065,0.361684,0.3250905,0.30912325,0.30534732,0.30320182,0.2963126,0.28093448,0.25698006,0.22800498,0.19932817,0.1760252,0.16049963,0.1530158,0.15156049,0.15284087,0.15370674,0.15243024,0.1500562,0.14804381,0.14802928,0.14990343,0.15395199,0.15913387,0.16431405,0.16688834,0.16574275,0.16027366,0.15235104,0.14411782,0.13944186,0.1400783,0.14541781,0.15091181,0.15175086,0.14492159,0.13042314,0.11079225,0.08963064,0.0708763,0.057490796,0.05237188,0.05899923,0.07925451,0.10908916,0.13599266,0.14653786,0.13618091,0.114942186,0.09861735,0.09715354,0.10781064,0.12076163,0.12818612,0.130313,0.13431107,0.1488147,0.17703342,0.21271189,0.24205725,0.25272745,0.24332415,0.22434324,0.21258412,0.22126108,0.26029825,0.32954618,0.41780424,0.49563226,0.5333877,0.51775014,0.4648985,0.4051862,0.36204985,0.34065732,0.33153367,0.32384464,0.31101906,0.2943332,0.2782117,0.2675464,0.2635887,0.26415896,0.26548222,0.26451793,0.2608615,0.25613073,0.25297847,0.25244138,0.25323257,0.25295985,0.250459,0.2468902,0.24383025,0.24227072,0.24234693,0.2442954,0.24785285,0.25194207,0.25644812,0.2628013,0.27218986,0.2802717,0.27834383,0.25892398,0.22473617,0.18758444,0.16281848,0.15857348,0.17358416,0.19700225,0.21630824,0.22157025,0.21128023,0.19001293,0.16547899,0.14199947,0.120207526,0.09933674,0.08174164,0.072229296,0.07558828,0.09227615,0.1185411,0.1463164,0.16836847,0.18101217,0.18661632,0.189372,0.19147135,0.19283395,0.1942143,0.2000004,0.21427734,0.23832963,0.27029824,0.3110805,0.3619163,0.41694674,0.4580288,0.46573308,0.43792394,0.39280382,0.35530558,0.3360895,0.33061135,0.32777333,0.32294774,0.3184338,0.31924343,0.3269681,0.33836952,0.34807432,0.35259247,0.35212544,0.34923565,0.34622273,0.34408703,0.34219086,0.3396004,0.33536983,0.32968533,0.32328045,0.31713927,0.31197178,0.30805668,0.30589676,0.30572006,0.3076882,0.31094566,0.31467798,0.3182093,0.3216655,0.3231314,0.31901693,0.30420363,0.2775877,0.241277,0.2012183,0.16273858,0.13173304,0.11210693,0.10620648,0.11239924,0.12735929,0.14622574,0.16524309,0.18061803,0.1900992,0.19218354,0.18776853,0.178716,0.16690768,0.15263665,0.13586055,0.11815271,0.103806615,0.098629124,0.10693558,0.12824498,0.15545653,0.17755215,0.18567006,0.17907323,0.164893,0.15503992,0.16179818,0.19734304,0.2666638,0.36014095,0.44907555,0.50054985,0.49869204,0.45518997,0.39882407,0.35352114,0.32870916,0.3197129,0.31907225,0.32042408,0.32228467,0.32432988,0.32675537,0.3275741,0.3248483,0.3176646,0.30781296,0.2981975,0.29117334,0.28690675,0.28392756,0.2802847,0.27522954,0.26899406,0.26247987,0.25577533,0.2483928,0.23958026,0.22955842,0.21975262,0.21193598,0.20807934,0.20939054,0.21731584,0.22904415,0.23807605,0.23309553,0.20894663,0.1680681,0.12262907,0.08317146,0.055823475,0.039450187,0.030828578,0.026774669,0.026250707,0.029651841,0.037223224,0.047553454,0.057540465,0.064208746,0.06633467,0.06481928,0.061443973,0.057819325,0.055230934,0.055540353,0.06175147,0.076627664,0.100007355,0.12686884,0.1495793,0.1622477,0.1642925,0.15902098,0.15028565,0.1410933,0.13715911,0.15108393,0.19703937,0.276731,0.36785245,0.43409005,0.45082304,0.42314386,0.37880597,0.34369138,0.327005,0.32287732,0.3222547,0.31941387,0.31126848,0.29587626,0.271821,0.24115765,0.20903336,0.18239437,0.1660635,0.1606883,0.16245502,0.16580458,0.1667022,0.16503094,0.16319081,0.16352277,0.1659903,0.16912323,0.17133053,0.17184009,0.17039452,0.16716208,0.16277285,0.15791543,0.15356304,0.15098356,0.15171419,0.15566023,0.16032,0.16150482,0.15603615,0.14303641,0.12396472,0.10145435,0.078904904,0.060330942,0.050564144,0.054656047,0.075100176,0.10890869,0.14657886,0.1771999,0.19423713,0.19884463,0.19642796,0.19232213,0.18889014,0.18582338,0.18137664,0.17440908,0.1665799,0.16220756,0.16539133,0.1760373,0.19012314,0.20303567,0.21326017,0.22182257,0.23089872,0.24430656,0.2708944,0.3211306,0.3965385,0.47677147,0.5273264,0.5215623,0.46494845,0.38850534,0.32592848,0.2898631,0.27477467,0.2698185,0.27028394,0.27502584,0.2816633,0.2850006,0.2810962,0.27067912,0.25860068,0.2501775,0.24748252,0.24885409,0.2507054,0.25013044,0.2465206,0.2410522,0.2357346,0.23122118,0.2271839,0.22248097,0.21730691,0.21269709,0.2103725,0.21125828,0.21631755,0.22646987,0.2425255,0.26154646,0.27686408,0.2797263,0.2672193,0.24349153,0.21816199,0.19847149,0.18739575,0.18390203,0.18600635,0.19125424,0.19703095,0.20067279,0.20062375,0.19656427,0.18935864,0.18029547,0.17149685,0.16725624,0.1725734,0.19081093,0.21852183,0.24834152,0.2717832,0.2858139,0.2909236,0.29032347,0.285947,0.27876174,0.2686888,0.25731406,0.24817424,0.24494362,0.25022516,0.26841816,0.30920017,0.37795982,0.46154705,0.52568364,0.53815866,0.49604037,0.42615187,0.36324427,0.3235404,0.30529416,0.29739746,0.29324463,0.2906623,0.29175243,0.29782173,0.30865166,0.32116547,0.33236918,0.34006563,0.34394726,0.3443048,0.34153795,0.33544207,0.32525,0.31097388,0.2947713,0.2805505,0.27163035,0.26839915,0.26887003,0.2704523,0.2718009,0.27252325,0.27365693,0.27709687,0.28582072,0.29913065,0.31163207,0.3135182,0.29995418,0.27411863,0.24621129,0.22441925,0.21138388,0.20502572,0.20177399,0.19784267,0.1900631,0.1786558,0.16969854,0.17168958,0.1891257,0.21669169,0.24352908,0.2602612,0.26521018,0.2615962,0.25278065,0.23950219,0.22339164,0.2107081,0.21063094,0.22784622,0.25657752,0.28388336,0.29791746,0.29484144,0.27810636,0.25552315,0.23835464,0.24052584,0.27610806,0.34618977,0.43318185,0.5021526,0.5259292,0.50005144,0.44656125,0.39243877,0.35417792,0.33237576,0.31973818,0.30984703,0.30024946,0.29227507,0.2868489,0.28320202,0.27870974,0.27162853,0.2620829,0.2514843,0.24125008,0.2321328,0.22486685,0.22052471,0.22091036,0.22797944,0.24186456,0.25961116,0.27519715,0.28392276,0.28483167,0.28157285,0.27798387,0.2764208,0.2766359,0.2791663,0.28394207,0.29079735,0.29567456,0.29493526,0.28583494,0.27093145,0.25399867,0.23887335,0.22546394,0.21143067,0.1932491,0.1704008,0.14628416,0.12892354,0.12582754,0.1400342,0.166308,0.19546352,0.21932934,0.23495863,0.24201994,0.24076228,0.23181623,0.21959548,0.21169966,0.21444511,0.2267919,0.24007499,0.24444479,0.23672266,0.22278994,0.21229811,0.20977806,0.21467407,0.22691564,0.2583617,0.3203161,0.4093357,0.49155346,0.52909756,0.50457036,0.43773675,0.36138797,0.29996368,0.25896475,0.23407835,0.22005415,0.21388066,0.21492356,0.22285824,0.2360485,0.25041768,0.26103464,0.2651007,0.2632084,0.2578791,0.25098044,0.24223496,0.2310856,0.21925652,0.21228884,0.21646433,0.23378454,0.25845227,0.27938882,0.2871981,0.28034982,0.2654612,0.25224409,0.24819382,0.2562672,0.27456447,0.29649672,0.31245813,0.31489602,0.30307636,0.28282884,0.26185086,0.24469654,0.23254699,0.223228,0.21428435,0.20514993,0.20186591,0.21306019,0.24292131,0.28304875,0.31756,0.33250287,0.32502198,0.30098495,0.27018452,0.24105836,0.22144361,0.21764553,0.23339105,0.26543215,0.30383357,0.33474946,0.3472818,0.33730188,0.30886534,0.27205133,0.23788087,0.21628983,0.21487801,0.24488664,0.311391,0.40499553,0.49007383,0.52991533,0.50892544,0.44934484,0.3847152,0.33773753,0.30829394,0.28869972,0.27452907,0.2668507,0.26650396,0.27081767,0.2758788,0.27848247,0.27779773,0.27423927,0.26918256,0.26388657,0.25884935,0.25331178,0.24622029,0.23739076,0.22822583,0.22036767,0.21519388,0.21365833,0.21778487,0.22952093,0.24850099,0.26972747,0.2860112,0.2934898,0.29507282,0.29740313,0.3025544,0.30505857,0.2959832,0.27333617,0.24440916,0.22187869,0.21372549,0.2190656,0.22865748,0.23140031,0.22094738,0.19872993,0.17149566,0.14650343,0.12979086,0.12777269,0.14513804,0.18084782,0.22313587,0.25673637,0.2704248,0.26516727,0.24901682,0.23204215,0.22018073,0.2151292,0.2145372,0.21289456,0.20464472,0.18827166,0.17046668,0.16227706,0.17325854,0.20640989,0.2625568,0.3402289,0.4309473,0.5113675,0.5533536,0.5429768,0.49313948,0.43239567,0.38429907,0.35572138,0.34112242,0.3322067,0.3235233,0.31238326,0.29873052,0.28444538,0.27338088,0.2688503,0.27181104,0.28011858,0.28945568,0.29583478,0.29688227,0.29314676,0.28679988,0.28042284,0.2751375,0.2707474,0.26620054,0.2605209,0.25291783,0.24382786,0.23619457,0.23529096,0.24627228,0.26964465,0.3004674,0.32903433,0.34745297,0.35222307,0.34750143,0.33810297,0.3259618,0.3060669,0.27498206,0.235824,0.20055316,0.179866,0.17646451,0.18339513,0.19168484,0.19581562,0.19562037,0.19411124,0.19454621,0.19794069,0.20151936,0.2018807,0.19877364,0.19771285,0.20601793,0.2276336,0.25936928,0.2924511,0.31708077,0.32693526,0.32141075,0.30589634,0.2901831,0.28582606,0.30199185,0.3435042,0.40821648,0.48418537,0.5490105,0.5780804,0.56092787,0.5078955,0.4438982,0.38886222,0.35050997,0.32430732,0.3042531,0.28590998,0.26866063,0.2528065,0.23907168,0.22759937,0.21815272,0.21039873,0.20384796,0.19847101,0.19421826,0.19166608,0.19127019,0.19410664,0.20090501,0.2120855,0.22640747,0.24131744,0.2534825,0.2602993,0.26067078,0.2549204,0.24473971,0.23388399,0.22799975,0.23307644,0.24833961,0.26564398,0.27132502,0.26037315,0.23786242,0.2172512,0.20634277,0.20564725,0.20949619,0.2132438,0.21463853,0.21394014,0.21228506,0.21080232,0.20937788,0.20693113,0.20182829,0.19450574,0.18738556,0.1848507,0.18892415,0.19822304,0.20789285,0.214249,0.21758585,0.22204955,0.23230052,0.24931149,0.2703577,0.29069534,0.30731168,0.31870642,0.32507646,0.32927108,0.34070173,0.3720249,0.42788395,0.4918112,0.5331619,0.5278696,0.48022303,0.41539478,0.36056006,0.3249721,0.30432406,0.2894398,0.27649644,0.26644787,0.2627127,0.26688316,0.27630746,0.28515708,0.28815353,0.28450626,0.27725068,0.26990044,0.26296583,0.25504062,0.24521506,0.23506735,0.22680485,0.22130631,0.21737927,0.21343507,0.20887373,0.20439403,0.20080876,0.1982051,0.19714075,0.1994298,0.20959274,0.22735472,0.24669151,0.25278202,0.23728873,0.20085542,0.15796353,0.12333113,0.109161995,0.1186283,0.1476958,0.18397404,0.21354677,0.22767513,0.22801079,0.22175127,0.21649726,0.21579672,0.22011165,0.2263145,0.22833937,0.22038066,0.20104168,0.17578252,0.15347326,0.14261615,0.14841217,0.16997482,0.19968955,0.22369947,0.23177566,0.22316821,0.20824559,0.19835794,0.20074968,0.21932526,0.25984228,0.3226594,0.39586607,0.452576,0.47359836,0.45753524,0.42454377,0.39241657,0.3702714,0.3561099,0.3513113,0.36111894,0.3908976,0.43245363,0.46558163,0.46785745,0.43633887,0.38690493,0.34492162,0.32320377,0.32111493,0.32974458,0.34470165,0.36896935,0.40556276,0.44857994,0.47811928,0.47511637,0.4352711,0.3759801,0.3209499,0.28563294,0.2700163,0.2677092,0.2744784,0.29442525,0.3307496,0.3770013,0.4114263,0.4128761,0.3769895,0.3216786,0.27207923,0.24370325,0.23845576,0.2514641,0.2795957,0.3225663,0.37523973,0.42302847,0.44317758,0.42388263,0.37394774,0.3210212,0.2883538,0.28126565,0.28757313,0.29449737,0.30008066,0.315292,0.34690365,0.38763997,0.41210595,0.4026184,0.3607554,0.31110632,0.27593172,0.2639307,0.26834115,0.28178552,0.30366716,0.33953968,0.3882637,0.43671286,0.46274874,0.45473096,0.4185315,0.37496027,0.34261417,0.3296362,0.33352116,0.34805974,0.3698851,0.39915633,0.43320623,0.46108934,0.46616665,0.44102946,0.39457324,0.34695205,0.31332,0.29614902,0.2904836,0.29331663,0.30978394,0.34496352,0.39530364,0.441867,0.46268192,0.4468266,0.40300164,0.35003927,0.30423966,0.27228603,0.2548032,0.2525798,0.27023304,0.3095837,0.36125728,0.40271375,0.41340867,0.39040753,0.34935716,0.30898842,0.2776672,0.2543848,0.23847693,0.23560329,0.25589207,0.3020828,0.36115813,0.40410748,0.40663457,0.36711958,0.30983236,0.2638739,0.24334097,0.243151,0.25225046,0.267271,0.29553378,0.34115076,0.39316764,0.42379364,0.41137922,0.35608903,0.28199536,0.21587507,0.17402379,0.16026302,0.17479761,0.21673279,0.2833905,0.36267748,0.4359268,0.47983578,0.484526,0.45537233,0.41405535,0.37901485,0.35973322,0.3534365,0.3560675,0.36612952,0.38605455,0.41285792,0.43586278,0.43838313,0.4133991,0.36715093,0.3168808,0.2762197,0.2521535,0.24673642,0.26222643,0.3000052,0.35586986,0.41562685,0.457734,0.46300435,0.42944685,0.3732283,0.31893408,0.28119394,0.2608993,0.2515341,0.2512096,0.2660707,0.30279174,0.3569535,0.40946817,0.4379076,0.43364134,0.40593243,0.37241912,0.34473583,0.3260635,0.3160654,0.31677833,0.33350086,0.3674525,0.4102247,0.44111633,0.4417657,0.40810168,0.35644624,0.30885974,0.2807946,0.27456677,0.2865682,0.31317863,0.35392904,0.4048575,0.4533677,0.4773439,0.45984387,0.40219107,0.32644773,0.25979665,0.21775526,0.19995998,0.19937228,0.21443404,0.2530135,0.31915537,0.40141717,0.46804705,0.49207222,0.46838927,0.42022786,0.37515786,0.34848878,0.33804297,0.33655038,0.3424946,0.36285293,0.40177336,0.4505287,0.485281,0.48691407,0.45351204,0.40323165,0.35583103,0.32249317,0.30356506,0.29714024,0.30517852,0.33297494,0.37937298,0.4290863,0.4557887,0.4427494,0.39503786,0.3376039,0.29433247,0.27525136,0.27549157,0.28641453,0.30515978,0.3347975,0.37429416,0.4118977,0.42897975,0.41771808,0.3861749,0.3537748,0.33362368,0.32857835,0.3335248,0.3453273,0.36601898,0.3984015,0.4377594,0.46862376,0.47463477,0.45178926,0.41190776,0.37301552,0.34568775,0.329945,0.32069588,0.31739795,0.32694805,0.35646045,0.4022691,0.4466958,0.46940133,0.4630991,0.43584132,0.40346754,0.3753349,0.35380316,0.33630502,0.32579532,0.33340374,0.3707639,0.43491364,0.49834648,0.5268294,0.50293964,0.4415369,0.37349296,0.32450375,0.3021015,0.30061626,0.30987582,0.32128933,0.32995594,0.33496603,0.3376008,0.33926567,0.33980897,0.33825815,0.33326116,0.3243656,0.312106,0.29861936,0.2862626,0.2767342,0.27056867,0.26784918,0.26893237,0.2725295,0.27570227,0.2732505,0.26338688,0.24839748,0.23627007,0.23251255,0.23814856,0.24700253,0.25370893,0.25634143,0.25859973,0.264083,0.27364263,0.28456393,0.29321465,0.29753,0.2973037,0.2940476,0.2890577,0.28349534,0.27784112,0.27337962,0.2710484,0.27118134,0.2718966,0.2709999,0.26700065,0.26077974,0.2538776,0.24714784,0.23972398,0.23047018,0.22031899,0.21266301,0.21199955,0.21962117,0.23301302,0.24632742,0.25564364,0.2593917,0.25841966,0.25198063,0.2397992,0.2246753,0.21562731,0.22226702,0.24761157,0.2834494,0.31688473,0.33861315,0.34868494,0.35218585,0.35374543,0.35346594,0.34894094,0.33940294,0.3271283,0.3163004,0.3079352,0.3003035,0.2901723,0.2771419,0.26188803,0.24475537,0.22482641,0.20263614,0.18113388,0.16372758,0.15198731,0.14544593,0.14340532,0.14530683,0.14988482,0.1549273,0.15838702,0.1601478,0.16155551,0.16383807,0.1661243,0.16579251,0.16069557,0.15111154,0.14044668,0.13323264,0.13390444,0.14360021,0.1595137,0.17365654,0.17824523,0.1698281,0.15348928,0.13834162,0.13207363,0.1357493,0.14494859,0.15339302,0.15668592,0.15385081,0.14675806,0.13845675,0.13109286,0.12495976,0.11907818,0.11262488,0.10562781,0.09877472,0.09283482,0.08846437,0.08605797,0.0855617,0.0863843,0.08755978,0.088138215,0.08747122,0.085400425,0.08247178,0.07972693,0.07833099,0.0786102,0.07993394,0.08099311,0.08089447,0.07947139,0.07712037,0.07430776,0.07159671,0.069749445,0.069473185,0.07080863,0.07303203,0.075172625,0.07669418,0.07763036,0.078176826,0.07851479,0.078742184,0.07912455,0.07974211,0.08044887,0.08089014,0.08110124,0.081464075,0.08245022,0.08418598,0.086751066,0.09019706,0.09443426,0.09871251,0.10234112,0.10571895,0.111182004,0.12151118,0.13714212,0.15425332,0.16626258,0.1683989,0.16097195,0.148961,0.13799347,0.13154696,0.13110672,0.13833524,0.15541813,0.18212368,0.21219952,0.23346911,0.2337624,0.20886265,0.16581567,0.11882398,0.080823086,0.058923002,0.05496359,0.069734976,0.10226029,0.14751177,0.19386421,0.22927462,0.24749134,0.25202647,0.25026646,0.24819636,0.24754846,0.24845125,0.2506663,0.25331575,0.2550486,0.25541374,0.25663957,0.2616205,0.27158093,0.28440332,0.29685235,0.30671027,0.3134116,0.31629118,0.3131844,0.30132976,0.27976125,0.2513141,0.22152025,0.19579844,0.17604709,0.16055344,0.14605246,0.13185787,0.12076613,0.117249854,0.122737624,0.13425173,0.14615782,0.15471666,0.1595486,0.16257073,0.16496132,0.16659196,0.16675091,0.16563559,0.16377284,0.1612106,0.15717874,0.15135348,0.14466232,0.13888027,0.13532309,0.13419384,0.13492979,0.13676046,0.13893652,0.1407898,0.1421175,0.1434166,0.14554815,0.14889032,0.15292658,0.15664278,0.15934594,0.16093077,0.16165656,0.16159362,0.16071312,0.15901566,0.15697809,0.15539505,0.15526064,0.15727825,0.16165155,0.167889,0.17496336,0.18157573,0.18666512,0.18969916,0.19091462,0.19095711,0.19075988,0.19098543,0.19211178,0.19421218,0.19741653,0.20189089,0.20780571,0.21495445,0.22274554,0.23048478,0.23767824,0.24416907,0.2504189,0.25723803,0.26542327,0.2746885,0.28428438,0.29323342,0.3011595,0.30727598,0.31112137,0.31298688,0.31462505,0.31716254,0.31968424,0.31969514,0.31657657,0.31323573,0.31369498,0.31769112,0.31824127,0.30637568,0.27843758,0.24062307,0.2036311,0.176826,0.16351001,0.16532129,0.1828084,0.21629798,0.25980094,0.3031107,0.33357874,0.34539032,0.3404648,0.32810724,0.3162485,0.30697682,0.296694,0.28250924,0.26743415,0.25739646,0.2558252,0.2596254,0.26379743,0.26505268,0.2633791,0.25773558,0.24585646,0.22628349,0.20397459,0.18996696,0.19733544,0.23208804,0.28809607,0.34749067,0.39080337,0.4075543,0.4017496,0.3848529,0.36631855,0.35007384,0.34072876,0.3497471,0.3875037,0.45111084,0.51687574,0.55726236,0.55854934,0.53092873,0.4946899,0.46640596,0.4510657,0.44658256,0.44850037,0.45270208,0.45588294,0.45615932,0.45385727,0.45069686,0.44850203,0.4476764,0.4479058,0.44900373,0.451331,0.45470044,0.4575423,0.45797157,0.45520198,0.45052615,0.4454639,0.44050196,0.43443632,0.42639264,0.41678032,0.40770793,0.40172398,0.4009057,0.4059167,0.4143689,0.42032316,0.41531384,0.39317167,0.35346654,0.3020291,0.24732894,0.19689739,0.15563194,0.1257634,0.10844477,0.10622537,0.12389475,0.165227,0.2261609,0.2929081,0.34668282,0.37414238,0.37161008,0.34440956,0.30120108,0.2526441,0.20991492,0.18454365,0.18450493,0.21132909,0.2573007,0.30790082,0.3466463,0.36198556,0.34926066,0.3108124,0.25378937,0.19352098,0.15383124,0.164388,0.24119239,0.36983737,0.5017109,0.5832088,0.59034413,0.5409803,0.47486493,0.4209015,0.38728234,0.36564073,0.3485261,0.33261096,0.32134566,0.31831923,0.3258142,0.3422906,0.3641788,0.38731575,0.40808073,0.42416516,0.43463695,0.44071528,0.44515887,0.4513607,0.46130434,0.47423577,0.4865222,0.49307057,0.49023739,0.47799397,0.46037352,0.44329187,0.43166545,0.42806694,0.43221068,0.44093385,0.44747344,0.44363025,0.42485967,0.39538383,0.36616933,0.34669435,0.33596316,0.32334992,0.29685763,0.2541037,0.20551075,0.16866429,0.15740596,0.17236318,0.2016619,0.22878478,0.24446376,0.24953537,0.25112137,0.25394133,0.2577034,0.2588214,0.25565413,0.24902582,0.24064146,0.2284893,0.20949988,0.18358977,0.16019686,0.15385889,0.17652,0.22761552,0.29544148,0.36488935,0.4283243,0.485454,0.5368629,0.57459587,0.58734256,0.5690784,0.5281617,0.4811339,0.44370738,0.42354324,0.41996375,0.4275739,0.43802238,0.44412577,0.44204012,0.43360886,0.42399725,0.41757885,0.41563913,0.41692516,0.4206464,0.42693368,0.4358301,0.4455938,0.45309326,0.4556501,0.45301995,0.44727933,0.4416431,0.43759653,0.43497667,0.4317203,0.4269352,0.4209645,0.41664466,0.4167035,0.42161584,0.42622754,0.4210874,0.39744118,0.3540832,0.2984025,0.2420069,0.1935982,0.15638538,0.12928687,0.11139783,0.10520268,0.117277294,0.15342766,0.21204607,0.28033602,0.33970937,0.37463108,0.37951794,0.35745418,0.31699046,0.26876876,0.22492003,0.19676687,0.19289114,0.2156295,0.25965372,0.31144246,0.3541746,0.37370935,0.36388257,0.32643694,0.269285,0.20675321,0.16084708,0.15936393,0.22136348,0.3394998,0.47257575,0.56640077,0.5880936,0.5455867,0.47606432,0.41483948,0.37699783,0.35734913,0.34529486,0.33436766,0.32499078,0.32079265,0.32412493,0.33523515,0.35211268,0.37262714,0.3934362,0.41144633,0.4237136,0.4300916,0.43227223,0.43328992,0.4352522,0.4387568,0.4434372,0.44820413,0.4525278,0.45585045,0.4585695,0.4611061,0.46358812,0.4650637,0.46416673,0.4604714,0.4535369,0.44296917,0.42791542,0.41106176,0.3963629,0.38707566,0.38021767,0.37042496,0.35314164,0.32928598,0.303566,0.28296733,0.2729102,0.27413818,0.28152525,0.28692892,0.2841765,0.27069962,0.24767734,0.21850996,0.18926859,0.16532873,0.14905892,0.13919215,0.13649894,0.14686978,0.17799455,0.23043692,0.29345357,0.35074314,0.39090514,0.4132004,0.4254048,0.43784678,0.45985842,0.49529943,0.5400977,0.5806528,0.6024737,0.59919864,0.57757705,0.5505376,0.52808744,0.5128264,0.5022314,0.49302384,0.48342803,0.47328702,0.4634864,0.45521715,0.44958636,0.44694328,0.44678047,0.4480119,0.4498192,0.4520259,0.45509458,0.45929423,0.4643923,0.46949577,0.47373366,0.4765369,0.47798386,0.478595,0.47884178,0.47831893,0.47604692,0.4722445,0.46959576,0.47129837,0.47758996,0.48404226,0.48573628,0.48094687,0.47322705,0.4666227,0.46316287,0.46136698,0.45912936,0.45485774,0.44783416,0.43848976,0.42869505,0.42137596,0.41769063,0.4151105,0.40851295,0.39341593,0.36849526,0.33488807,0.29538706,0.25415918,0.2176774,0.19357394,0.1887716,0.20583467,0.24153893,0.2856296,0.32508484,0.3477888,0.34746933,0.32276514,0.2775517,0.22135997,0.17290366,0.15886317,0.20299952,0.30778107,0.44185892,0.5523843,0.5962375,0.5688006,0.500565,0.43155575,0.3835136,0.35713115,0.34180322,0.33066145,0.32206964,0.31895542,0.32267353,0.33352792,0.34995162,0.3705491,0.3930125,0.41424826,0.43109262,0.44230595,0.4494355,0.45569465,0.46317413,0.4717723,0.47902238,0.48262405,0.4814063,0.4762905,0.46920875,0.46225706,0.4569689,0.45438233,0.45478722,0.4576706,0.46006033,0.45806518,0.4484351,0.43263158,0.4148668,0.39779648,0.37794805,0.34756875,0.3027655,0.2494133,0.20417158,0.18444227,0.19948323,0.2433319,0.30047882,0.3526875,0.38726786,0.39807525,0.38509896,0.35238957,0.30659333,0.25675723,0.21416956,0.19177836,0.200173,0.24154668,0.30590382,0.37260532,0.41918075,0.429974,0.40321764,0.3496262,0.2890244,0.24290805,0.23023577,0.26211596,0.33602622,0.43117282,0.51293224,0.55063814,0.53665787,0.4891422,0.43749294,0.40148282,0.38670555,0.38933754,0.40836176,0.44540945,0.4991363,0.5549926,0.5891795,0.58378416,0.54295015,0.48915783,0.4453883,0.41865027,0.40395916,0.39666358,0.40302047,0.43178236,0.4828408,0.53701276,0.56796855,0.558531,0.5153335,0.46056458,0.41641223,0.39207324,0.38618565,0.3959343,0.42297515,0.46978363,0.52950597,0.5824763,0.6048985,0.58722943,0.5406213,0.48906508,0.4504726,0.4292195,0.41960326,0.41785368,0.42786455,0.4568651,0.5031235,0.54979473,0.5729742,0.5601496,0.5188412,0.47046742,0.43443954,0.4185771,0.4203715,0.43388307,0.45908293,0.49841508,0.548945,0.5915725,0.60214186,0.56910515,0.5064483,0.440899,0.39350566,0.36829242,0.36118266,0.36909342,0.39649758,0.4436477,0.5008464,0.5428551,0.5495565,0.51557696,0.45949268,0.40200815,0.35682443,0.32107058,0.28840753,0.25354362,0.2188763,0.19109575,0.17842859,0.18381993,0.20177723,0.2210507,0.23267974,0.23526233,0.23360752,0.23271464,0.2349128,0.23989286,0.24728219,0.25635925,0.26574552,0.2730491,0.27570722,0.2726173,0.2638172,0.2511405,0.23614334,0.2207541,0.20657879,0.19646095,0.19323641,0.19807309,0.2084459,0.21885861,0.22304393,0.21687947,0.19933057,0.17321938,0.14350294,0.11634802,0.096036255,0.08431541,0.079594575,0.079641886,0.08331422,0.09165174,0.105659045,0.124360316,0.1444897,0.16290705,0.1779718,0.18985842,0.19882788,0.20557271,0.21105899,0.2170655,0.22489934,0.23416923,0.24182701,0.2420088,0.22869171,0.19957383,0.16016023,0.1259224,0.1194762,0.16503634,0.26990837,0.41405264,0.54666466,0.6192417,0.61059505,0.542996,0.45512685,0.37978682,0.32720935,0.2942311,0.27317137,0.25913385,0.2503449,0.24624097,0.24636479,0.24930729,0.25399283,0.2594639,0.2657267,0.2727758,0.28080738,0.28886423,0.29477155,0.29535317,0.2883776,0.2745488,0.25768673,0.24277306,0.2325111,0.22596602,0.22013718,0.21295808,0.20606922,0.20444445,0.21439213,0.2370013,0.264694,0.2822232,0.27775833,0.25057983,0.21174772,0.17423123,0.14571816,0.12709871,0.11606362,0.10962969,0.104938544,0.099911906,0.094468355,0.09036819,0.09019261,0.095163815,0.10467597,0.11622193,0.12671484,0.13418548,0.1384989,0.1411862,0.14324285,0.14513846,0.14716865,0.15101263,0.1583153,0.16849585,0.17725068,0.17863916,0.16974695,0.15329303,0.13954647,0.14403893,0.18613856,0.27364394,0.39118186,0.4954218,0.5441184,0.5230466,0.4562496,0.3807768,0.32214344,0.28585908,0.26612595,0.2549468,0.2460915,0.2372849,0.23035075,0.22867827,0.2329285,0.24026932,0.24664219,0.2504178,0.25308886,0.25781855,0.2666184,0.27785626,0.28696156,0.28887233,0.28247264,0.2708821,0.25943378,0.25129566,0.2468005,0.24538036,0.24870235,0.26077557,0.28490022,0.31975713,0.35779262,0.3870019,0.39621198,0.3798857,0.3415762,0.29072997,0.23827787,0.1909256,0.15138595,0.11957153,0.09523358,0.0779713,0.067110665,0.06136461,0.059025172,0.05844306,0.058218773,0.057475496,0.055716153,0.05427441,0.05773264,0.075162284,0.11456863,0.17627354,0.24660373,0.30496284,0.33386457,0.33007646,0.30208433,0.2648206,0.23203468,0.21571307,0.22264504,0.2537346,0.30339304,0.36736774,0.44219065,0.51918656,0.5758601,0.58650494,0.5426545,0.46301758,0.38199952,0.3265588,0.30608276,0.31343818,0.3353087,0.35799244,0.37169513,0.37066245,0.35440364,0.32768235,0.29959992,0.27799496,0.26563978,0.25988507,0.25746733,0.2563145,0.25527933,0.25298446,0.24984838,0.24912168,0.25496423,0.26817074,0.28389224,0.29402038,0.2922341,0.27838027,0.2588571,0.2439814,0.24376471,0.26342246,0.29929805,0.33835447,0.3632991,0.36200944,0.33500573,0.2953204,0.26035464,0.24042565,0.23463851,0.23567271,0.2392873,0.24554344,0.25396284,0.25923494,0.25559148,0.24234106,0.22405685,0.20530884,0.1874206,0.171183,0.160369,0.16233902,0.18185562,0.2156022,0.24948187,0.26603186,0.25421885,0.21796699,0.17343098,0.14010711,0.1306442,0.14677523,0.18217248,0.22951095,0.28837097,0.36294422,0.45072445,0.53140926,0.5752358,0.56603265,0.51465714,0.44987392,0.39373377,0.35218203,0.31895483,0.29015172,0.26658812,0.2530736,0.25089368,0.25748882,0.26594305,0.27029526,0.2677562,0.2601612,0.25140306,0.24465413,0.24129446,0.24115615,0.24346246,0.24703754,0.25035414,0.25247672,0.25329402,0.25362456,0.25395212,0.25414434,0.25413492,0.25518894,0.26075554,0.27456924,0.29817012,0.32623985,0.34863508,0.35369453,0.33857998,0.30888063,0.277584,0.25425702,0.24288885,0.23836605,0.23114471,0.21179819,0.17890471,0.14200017,0.11736002,0.11749747,0.14295553,0.18188167,0.21927506,0.24527518,0.25950608,0.26582953,0.26758063,0.26367584,0.2517913,0.2323827,0.21194172,0.19952561,0.20038582,0.2115597,0.22507936,0.23449779,0.23932557,0.2444073,0.25802818,0.28995073,0.34585038,0.41913024,0.4874529,0.5241043,0.5160683,0.47347736,0.41991803,0.3753961,0.34633806,0.3289235,0.31662908,0.3059539,0.29664096,0.2902067,0.28707293,0.28586283,0.28410867,0.28035796,0.27483782,0.2684622,0.26224408,0.25661963,0.2528149,0.251478,0.2531676,0.2563618,0.25915846,0.25956938,0.25724697,0.2531366,0.24823467,0.2433697,0.23822944,0.2330267,0.22746748,0.22236992,0.21789974,0.21499729,0.21328132,0.21283561,0.21241589,0.21150225,0.20889439,0.20468695,0.19938494,0.19429362,0.19037795,0.18765426,0.18607795,0.1851399,0.18502034,0.18486017,0.18425763,0.18246894,0.18025446,0.17818968,0.17739032,0.17786892,0.18023409,0.18404783,0.18931122,0.19411214,0.19726108,0.19681442,0.19310723,0.18606065,0.17665823,0.16474102,0.15179016,0.14029604,0.13404314,0.13503948,0.14265521,0.1547724,0.16923831,0.18516575,0.20044856,0.2133612,0.2215652,0.22601467,0.2278737,0.22972076,0.23157014,0.23314321,0.23277868,0.23014838,0.2258144,0.22125189,0.21740204,0.21379209,0.20980407,0.2057503,0.20346747,0.20417778,0.20677601,0.20841007,0.2066756,0.20180333,0.19572516,0.19050716,0.18677293,0.18397029,0.18124758,0.1780799,0.17462842,0.17113616,0.16786452,0.16460241,0.16135852,0.15817092,0.15532988,0.15283786,0.15047443,0.14797068,0.14506827,0.14178157,0.13826321,0.13495193,0.13224004,0.13021362,0.12859435,0.12701504,0.12539677,0.12386645,0.12244949,0.120771356,0.11848482,0.11569115,0.11317439,0.11158333,0.1107645,0.109818585,0.10800146,0.10538583,0.102419585,0.099267416,0.0958186,0.09233895,0.089683115,0.08848014,0.08839927,0.08829255,0.087169,0.08486405,0.08196506,0.07931551,0.07754996,0.076817006,0.07675887,0.07678073,0.07660512,0.07642719,0.076681495,0.0773153,0.077697895,0.0770638,0.07540812,0.07363973,0.07283476,0.07326123,0.074166,0.0746199,0.07425641,0.073308125,0.07198374,0.0703714,0.06873596,0.067756295,0.067849465,0.068529636,0.06852516,0.067018084,0.064468406,0.0621711,0.060820084,0.05994447,0.05873471,0.057206575,0.05604865,0.05549782,0.05491692,0.053680893,0.052156672,0.051263984,0.051426396,0.05231328,0.053648252,0.05559483,0.05810329,0.060396556,0.061614707,0.06285232,0.06836299,0.08524067,0.11873016,0.16747366,0.22052686,0.26368716,0.28732434,0.29256102,0.2867864,0.27780893,0.2691439,0.26178405,0.25592926,0.25188923,0.24953185,0.24828102,0.24792294,0.24849753,0.25000146,0.25152105,0.25168407,0.2495604,0.24560626,0.24152221,0.23904873,0.23890275,0.24048583,0.24261802,0.2445582,0.24627937,0.24819636,0.25029778,0.25209424,0.25291786,0.25260177,0.25162372,0.25062975,0.24991928,0.24919951,0.24809302,0.2465495,0.24490629,0.24356367,0.24253015,0.24146248,0.2398811,0.23779923,0.23577279,0.23456882,0.2344842,0.23514825,0.23583128,0.2359817,0.2354836,0.23443423,0.23277171,0.23024245,0.22679174,0.22284712,0.21916433,0.21622413,0.21398099,0.21190107,0.20964421,0.20723315,0.20509286,0.2034157,0.20210172,0.20076609,0.19918852,0.19734235,0.19534405,0.19317208,0.19072026,0.1879207,0.18504046,0.18254286,0.18091999,0.18019696,0.17993218,0.17939402,0.17818229,0.17636581,0.17432886,0.17230713,0.17037891,0.16853337,0.16694508,0.16571261,0.16475107,0.16356389,0.16168453,0.15904099,0.15614541,0.1537128,0.15204926,0.15091299,0.14971834,0.14814092,0.146204,0.14416091,0.14215003,0.14016445,0.13815445,0.13619459,0.13453352,0.13348155,0.13313411,0.13324381,0.1332886,0.13285848,0.13183832,0.13044499,0.12893146,0.1273929,0.12570697,0.12370657,0.12140325,0.119077645,0.11713388,0.115822144,0.1150315,0.114452414,0.11381655,0.11309507,0.112302154,0.111324966,0.10989219,0.10785643,0.10539477,0.10293424,0.10083062,0.099134184,0.09759885,0.09592808,0.094000585,0.09195912,0.08979708,0.08688662,0.08172365,0.07310883,0.061677534,0.050955534,0.04556988]