[0.028849725,0.029323818,0.030137355,0.031049138,0.03271434,0.036383003,0.042621452,0.05003122,0.055935383,0.057880472,0.055811748,0.051384624,0.046971213,0.04343907,0.040785074,0.038315967,0.03594247,0.033547457,0.031275406,0.029003434,0.026925748,0.025206879,0.02439635,0.02490189,0.027112931,0.030638183,0.034527943,0.0372819,0.03798088,0.036608864,0.03417373,0.031663135,0.029496724,0.027435653,0.025256984,0.023124976,0.021479033,0.020513041,0.020027759,0.019601075,0.019126834,0.018776475,0.018754646,0.018927626,0.019047314,0.019227544,0.020020753,0.021994337,0.025045617,0.02832874,0.030773869,0.03180329,0.03174566,0.031498056,0.03192701,0.03315909,0.034683034,0.036015183,0.037530158,0.04035081,0.04516025,0.051183697,0.056451198,0.059543137,0.06082331,0.062007844,0.06443345,0.06794655,0.07146299,0.074300714,0.0767592,0.079482675,0.082339115,0.08439573,0.0846251,0.08302886,0.080448456,0.07806528,0.076507546,0.07611221,0.076978624,0.07929165,0.08277663,0.08676812,0.090384424,0.09339335,0.096253306,0.09961593,0.103216656,0.10595343,0.10662812,0.10538763,0.10357478,0.1032198,0.10548467,0.11055841,0.11744037,0.12514299,0.13277285,0.14021283,0.14695223,0.1523323,0.15473877,0.15350677,0.148878,0.14302061,0.1378106,0.134558,0.1329961,0.13267533,0.13305248,0.13428514,0.13674738,0.14079373,0.14589955,0.15135425,0.15706927,0.16403691,0.17218156,0.1794037,0.18229777,0.17927696,0.1712625,0.16070114,0.14975595,0.14018977,0.13316329,0.12892693,0.1262082,0.12340098,0.11956937,0.11540637,0.1122421,0.11117203,0.11209039,0.113846846,0.11526635,0.115894474,0.116589166,0.118189,0.12139159,0.12574507,0.13073438,0.1352873,0.13839328,0.13950129,0.13914663,0.13960616,0.14240535,0.1476575,0.15258884,0.15501158,0.15434082,0.15243007,0.15094364,0.14999345,0.14872642,0.1462831,0.14313275,0.1393858,0.13516444,0.12967183,0.12340466,0.11730587,0.11307333,0.110939465,0.10989634,0.10774955,0.10255084,0.09358504,0.0816811,0.069045,0.057825174,0.049353983,0.04367715,0.040469218,0.03962694,0.041602474,0.04677261,0.055006195,0.06528062,0.076262884,0.08649734,0.0949697,0.10107288,0.10508305,0.10784047,0.11019853,0.11265647,0.11537161,0.118675135,0.12228588,0.12534669,0.12632881,0.12466856,0.12101382,0.117410205,0.11586708,0.11773887,0.122630715,0.12903804,0.13487808,0.13932575,0.1427589,0.14645553,0.15083145,0.15523581,0.15848617,0.16026308,0.1614057,0.1628605,0.1646273,0.16561706,0.16510095,0.16319056,0.16099428,0.15930563,0.15871501,0.15902828,0.15997384,0.16145067,0.16442485,0.17012513,0.17826855,0.18610966,0.19032328,0.18980771,0.18636619,0.18237926,0.17871606,0.1749581,0.17080164,0.16687043,0.1636354,0.16129579,0.15947494,0.15824406,0.15750204,0.15759669,0.15911447,0.16352768,0.17159957,0.18227012,0.19208471,0.1973341,0.19637232,0.1905715,0.1832844,0.17724061,0.17309459,0.16882193,0.16230977,0.15328847,0.14446062,0.13858671,0.13619359,0.13496952,0.13278623,0.12937883,0.12594475,0.122588344,0.11826038,0.11242784,0.10706479,0.1053778,0.10904771,0.116298355,0.12333286,0.12709971,0.127221,0.125077,0.1222139,0.11904451,0.115349114,0.110783756,0.10545149,0.09960992,0.0934391,0.0868511,0.07982572,0.07277698,0.066569716,0.061917085,0.05890931,0.057113424,0.056336675,0.05699001,0.059482824,0.063375,0.067158945,0.069772415,0.071845226,0.07598404,0.08487031,0.09941592,0.11844897,0.13957076,0.16056107,0.17898941,0.19329369,0.20311385,0.21074767,0.21886635,0.22869992,0.23847663,0.2457716,0.24968648,0.25138772,0.2525195,0.25404188,0.25752524,0.26484475,0.2770245,0.29050937,0.29933047,0.2985675,0.28954217,0.2778411,0.26882818,0.2637427,0.26096582,0.25965717,0.2602954,0.2624081,0.26329088,0.2602575,0.25345704,0.2454869,0.23886901,0.2349389,0.23343174,0.23306747,0.2313981,0.22674668,0.2194825,0.211673,0.20583658,0.20388621,0.20776732,0.21857674,0.23553233,0.25470877,0.2708554,0.2808274,0.28642714,0.29170933,0.2976154,0.29919705,0.29054442,0.27112314,0.24726409,0.22665137,0.21310998,0.20529522,0.1999314,0.19469129,0.18974948,0.18668757,0.18677078,0.18953091,0.19321823,0.19643152,0.19915806,0.20204805,0.20517594,0.20726861,0.20721276,0.20472814,0.2018853,0.20127751,0.20573115,0.21555603,0.22976635,0.24602146,0.2634047,0.28117895,0.29839566,0.31214687,0.32018295,0.32239667,0.32164317,0.31992254,0.31753588,0.31316245,0.3088,0.30830243,0.31613782,0.33008948,0.3443229,0.3512627,0.35092962,0.3474047,0.34810582,0.35502422,0.3670094,0.37782237,0.38201842,0.3756014,0.3596811,0.33798572,0.3151957,0.29464063,0.27966428,0.2737354,0.27960137,0.2955388,0.3148962,0.32854643,0.33169416,0.32777485,0.32680282,0.33735046,0.35931158,0.3832653,0.3970556,0.39324403,0.37325847,0.3451976,0.321166,0.31030777,0.3164377,0.3324437,0.34704372,0.34892187,0.3375955,0.3186672,0.29974437,0.2819147,0.26323465,0.24338174,0.22659792,0.21875976,0.2210202,0.22850263,0.2324266,0.22768188,0.21637847,0.20608436,0.20215605,0.20263444,0.20046766,0.19117247,0.17749293,0.16710354,0.16567111,0.17288099,0.18345954,0.19132851,0.19257975,0.18590926,0.17225747,0.15437926,0.13692091,0.12408409,0.11749367,0.11420063,0.10970757,0.100946136,0.0892477,0.078712665,0.073791645,0.07698319,0.08786634,0.10346835,0.118620984,0.1284163,0.13079245,0.12855975,0.12794411,0.13412805,0.14715457,0.16106816,0.16849726,0.16640778,0.15868457,0.1530721,0.15567696,0.16820313,0.18780667,0.20901395,0.22534923,0.2325523,0.23152028,0.22734575,0.22587126,0.22822642,0.23315866,0.23787081,0.24198587,0.2436241,0.24080719,0.23094387,0.21447827,0.19431974,0.17509389,0.16059251,0.15217833,0.14844918,0.14746587,0.14863615,0.15314847,0.1611333,0.1705268,0.17721884,0.17811073,0.17261052,0.16316877,0.15333766,0.14552476,0.14015971,0.13660343,0.13507013,0.13609369,0.13975875,0.14558287,0.15463378,0.16953559,0.19134122,0.21571912,0.23385496,0.23859121,0.23009808,0.21555056,0.2024579,0.19339092,0.1863442,0.18047164,0.17871796,0.18517385,0.19936673,0.21450476,0.22130513,0.21398653,0.19415684,0.16972657,0.1502053,0.14084202,0.13913192,0.13712142,0.12728046,0.10890534,0.08792325,0.07237444,0.06620606,0.06783855,0.07234856,0.07494757,0.073119245,0.06674229,0.057707768,0.048450112,0.040972378,0.035805706,0.032443687,0.02985452,0.027455488,0.02508566,0.0231127,0.021685963,0.020769974,0.01989524,0.01886235,0.01773005,0.01682073,0.016245408,0.015868152,0.015544674,0.015226919,0.014968284,0.014684963,0.014249675,0.013583195,0.012836359,0.012344877,0.012520719,0.013681027,0.01600475,0.019442372,0.02374175,0.028644301,0.034440845,0.04247095,0.054549377,0.071973585,0.09405138,0.11869415,0.14281301,0.16397332,0.18032567,0.19182974,0.19970977,0.20595787,0.21077912,0.21299998,0.21110822,0.20657031,0.20260869,0.20369296,0.21229953,0.22864799,0.24880664,0.26603988,0.27398708,0.2709358,0.26144096,0.25302124,0.25106177,0.25526202,0.26098636,0.26397166,0.26365474,0.26202247,0.26055586,0.2589494,0.2574272,0.2572641,0.2600228,0.2653602,0.2721634,0.27902067,0.28484836,0.28827074,0.28905767,0.28918624,0.29152915,0.29831982,0.30878934,0.32123783,0.3322842,0.33968315,0.34140602,0.33803022,0.33095112,0.32285467,0.31610432,0.3126018,0.31145385,0.30861327,0.29926097,0.28264493,0.26389778,0.2495931,0.24265747,0.24012671,0.23859812,0.23700438,0.23863657,0.2453329,0.2569838,0.27005896,0.28309795,0.29499927,0.3050195,0.30879724,0.3032126,0.28912723,0.27404204,0.26615286,0.26926386,0.2805153,0.29341865,0.30261135,0.30553928,0.30309948,0.2977598,0.29243958,0.28903458,0.28746495,0.2878763,0.2900032,0.29486218,0.30024657,0.30343604,0.30035567,0.29078194,0.27623704,0.260302,0.24605902,0.23614211,0.2323847,0.23439802,0.23993044,0.24437885,0.24377812,0.23572387,0.22117127,0.2028218,0.18387651,0.16668354,0.15322381,0.14525545,0.14357927,0.14662041,0.15114145,0.15479268,0.15897311,0.16805667,0.18532455,0.21006663,0.2368538,0.26035497,0.27581596,0.28239504,0.2800682,0.27347586,0.26931062,0.27822176,0.30920383,0.36734498,0.44759497,0.533312,0.5988266,0.62011033,0.58864087,0.5170426,0.433274,0.36308572,0.31828237,0.29361734,0.2768199,0.25885996,0.24052908,0.22937833,0.23155387,0.24557288,0.26366284,0.2787391,0.2883319,0.2925416,0.29011667,0.28018096,0.2659702,0.25570056,0.25481915,0.26141235,0.26674545,0.26529047,0.25786772,0.25148925,0.25122836,0.2592087,0.27253762,0.2880757,0.30399752,0.32236636,0.3456154,0.37066627,0.38960102,0.39366472,0.38170537,0.35713378,0.32543468,0.29066846,0.25847027,0.23533262,0.22479159,0.22425878,0.22769918,0.23137397,0.23517978,0.23868984,0.23752928,0.22688027,0.20641454,0.181686,0.15812849,0.13790642,0.120586134,0.10756601,0.10156386,0.10441149,0.11444447,0.12896729,0.14640518,0.16771197,0.1931523,0.21967848,0.24154238,0.2557075,0.26701936,0.28425553,0.3108659,0.33845595,0.35368693,0.34955564,0.33011305,0.3056616,0.28506148,0.27356747,0.27176198,0.2777091,0.28797218,0.29998627,0.31086496,0.31643656,0.31323647,0.30187467,0.28774104,0.27610695,0.26921225,0.26637655,0.26794454,0.27467,0.2865326,0.29978558,0.3096992,0.31299454,0.31186834,0.31329104,0.32466018,0.34693828,0.37028646,0.38067412,0.36973608,0.34275913,0.31152573,0.28457102,0.26095042,0.23596132,0.20786889,0.18006842,0.1573292,0.14191811,0.13316548,0.12900072,0.12776075,0.12828457,0.12993671,0.13185108,0.13269901,0.13057362,0.12414902,0.11442583,0.105033584,0.100766994,0.10408958,0.11302623,0.12186063,0.1253139,0.122847855,0.118768215,0.118405074,0.12381943,0.13282593,0.1416531,0.14669861,0.14703363,0.14315504,0.13798678,0.13381428,0.13255559,0.13430573,0.13975616,0.15050066,0.167836,0.18967839,0.20930912,0.21984296,0.2187108,0.20988421,0.19875254,0.18826006,0.17724568,0.16411866,0.14909126,0.13459675,0.12343884,0.1177952,0.11937827,0.13006397,0.151217,0.18130676,0.21329618,0.23554401,0.23834278,0.22162656,0.19701244,0.1795299,0.17681128,0.18445079,0.19243674,0.1942246,0.19050163,0.18565054,0.18447673,0.19227897,0.21505849,0.25375473,0.29853117,0.33150306,0.34043384,0.32764706,0.30576494,0.28357634,0.2618199,0.2397492,0.2234572,0.22099642,0.23261766,0.24788396,0.25554776,0.25322306,0.24750145,0.24518622,0.24875729,0.25835297,0.2764918,0.30503047,0.33892676,0.36397806,0.36511317,0.33811787,0.29340097,0.24848825,0.21645004,0.20086528,0.19856799,0.20383306,0.21112145,0.21575715,0.21564792,0.21074612,0.2019674,0.1899562,0.17613071,0.16391458,0.1584515,0.16489436,0.18509804,0.21531262,0.24582712,0.265851,0.27033952,0.26394656,0.25694928,0.25568283,0.25681794,0.25111094,0.23433177,0.21253783,0.1966033,0.19052298,0.18754983,0.17732054,0.15634733,0.13010865,0.10653817,0.08928876,0.077171125,0.06800013,0.060996626,0.056283057,0.05344445,0.051536247,0.049750183,0.047578122,0.044449687,0.039857488,0.03388733,0.027422404,0.021628922,0.017498197,0.015564434,0.015795501,0.017317392,0.018673891,0.018616557,0.016921746,0.014462835,0.012407665,0.011534941,0.011804364,0.012701898,0.013413687,0.013417871,0.012820807,0.012711455,0.014880251,0.020754248,0.030553581,0.04291087,0.056012344,0.06861487,0.08059756,0.092734575,0.10600232,0.12195768,0.14202088,0.16776581,0.19783735,0.22866859,0.25434244,0.273425,0.2882608,0.3036478,0.3186361,0.32880327,0.3317335,0.33300552,0.3419933,0.36274663,0.38976014,0.41081393,0.41510925,0.39898062,0.36813948,0.33444354,0.30982924,0.30025658,0.3040395,0.31359217,0.32132304,0.32364947,0.32314602,0.3235283,0.32608664,0.32868335,0.33018243,0.3307589,0.33019924,0.32608628,0.31719086,0.305128,0.29296485,0.28173605,0.27042902,0.25880185,0.24899606,0.24540871,0.2501144,0.26080263,0.26941788,0.26961112,0.2599812,0.24655618,0.23507619,0.22863804,0.22490971,0.22096682,0.21469037,0.20789652,0.20329934,0.20239677,0.20212172,0.19881807,0.19119662,0.18328114,0.17994599,0.18428479,0.19545192,0.21039261,0.22498356,0.23508443,0.2389433,0.23747931,0.23416382,0.23001017,0.22363584,0.21171458,0.19502825,0.17749417,0.16468833,0.15817153,0.15639503,0.15727656,0.16177152,0.17219742,0.18810965,0.20553786,0.22155863,0.23781793,0.25721487,0.2754982,0.28221396,0.26945886,0.24333848,0.22010034,0.21522713,0.230708,0.25573078,0.27407396,0.27626672,0.26426116,0.2485466,0.23831792,0.23443462,0.23082058,0.22104345,0.20455961,0.18576427,0.17078573,0.16454482,0.170605,0.19084914,0.22238739,0.25648895,0.28134677,0.2904438,0.28758314,0.28452268,0.29214942,0.3127577,0.33860567,0.35719526,0.35820886,0.33925185,0.30580845,0.26836753,0.23648626,0.21403058,0.19729917,0.17873394,0.15378532,0.12463827,0.09793311,0.07918114,0.07025677,0.07009863,0.077359535,0.09085677,0.10906104,0.12831593,0.14324641,0.14970726,0.14843388,0.14526308,0.1464222,0.1540026,0.16499446,0.17532109,0.18259756,0.18759799,0.19208331,0.1990986,0.21120583,0.23098023,0.25662675,0.2826309,0.29980934,0.30359182,0.2955347,0.28371683,0.27438474,0.2697576,0.26760113,0.26566505,0.262729,0.25781336,0.25015333,0.2397843,0.22986801,0.22384043,0.22335768,0.22566783,0.2267772,0.22346185,0.21501009,0.20256893,0.18942164,0.18038344,0.17968135,0.18798983,0.20158257,0.21496332,0.22430249,0.22864956,0.2275455,0.2197804,0.20455045,0.1847242,0.16597034,0.15371637,0.15006955,0.154544,0.1652202,0.17902444,0.19203995,0.2011502,0.2061678,0.20906337,0.21212721,0.21679486,0.22463499,0.2370347,0.25242153,0.26462737,0.26543435,0.25118694,0.22568937,0.19824618,0.17685406,0.16500469,0.16039556,0.15920733,0.15760823,0.15539627,0.15303159,0.15184896,0.15029065,0.14742321,0.14263849,0.13875239,0.13842374,0.14355563,0.15263367,0.16263123,0.16998237,0.17312421,0.17277396,0.17153747,0.17135604,0.17210257,0.17163217,0.16795827,0.16133521,0.15444382,0.15174924,0.15630454,0.16753148,0.17958386,0.18511134,0.18058819,0.16982521,0.16132964,0.16211243,0.17295475,0.18892832,0.20335747,0.21218634,0.21423273,0.20988719,0.19978894,0.18597615,0.17239432,0.16311568,0.16047557,0.16435663,0.17397493,0.18787868,0.20344381,0.2158801,0.21986067,0.21310534,0.1995432,0.18874161,0.18918258,0.20147657,0.21660507,0.22412068,0.22055559,0.21320064,0.21333271,0.22856325,0.2576259,0.2922568,0.3211409,0.33411,0.3258291,0.29898778,0.26562998,0.24218045,0.24056864,0.25973418,0.28724095,0.3073487,0.31209376,0.30314887,0.28880468,0.27631012,0.2685516,0.2628787,0.25413102,0.23882402,0.21815795,0.19738312,0.18176931,0.17353489,0.17195274,0.17491902,0.18055384,0.18687172,0.19337803,0.20129268,0.21295775,0.2279977,0.2420454,0.24952233,0.24793643,0.23931892,0.22745903,0.2161094,0.20791727,0.20366299,0.20049208,0.1929704,0.17744637,0.15524887,0.1318208,0.11234656,0.09905055,0.09082997,0.08481881,0.07823965,0.06976916,0.060014654,0.050517768,0.042631105,0.0368531,0.03304114,0.030718429,0.029252058,0.027992608,0.02641993,0.024415962,0.022144495,0.020037549,0.018410912,0.017476724,0.017048562,0.016705835,0.01597262,0.014835265,0.0137952715,0.013504844,0.014236304,0.015676921,0.017243722,0.018275375,0.018545814,0.01828927,0.018455362,0.01961249,0.021490226,0.02294767,0.023891179,0.02647,0.03432655,0.05021304,0.07297185,0.09783366,0.1179562,0.13033116,0.13722473,0.14684333,0.16509943,0.19396931,0.22808534,0.26172876,0.28882477,0.3075414,0.31837478,0.32426175,0.32854524,0.3325752,0.33751854,0.34198847,0.34595296,0.34827963,0.35163343,0.35844234,0.37143174,0.38829538,0.40329525,0.40917364,0.40193453,0.38432518,0.36388597,0.3488009,0.3409737,0.3354192,0.325323,0.30816388,0.28880143,0.2738155,0.26880786,0.2742873,0.28846267,0.30634364,0.32361174,0.33653787,0.34425712,0.34579515,0.3422649,0.33611986,0.33372593,0.33926257,0.3534806,0.36969545,0.37943467,0.37527922,0.35765612,0.33441123,0.31495547,0.30291048,0.2930993,0.28067985,0.26584867,0.25468078,0.25009218,0.24903756,0.24507032,0.23440365,0.21948689,0.20551611,0.19661081,0.19093259,0.18458448,0.1744941,0.16372603,0.1569649,0.15957223,0.17399631,0.20338003,0.24890935,0.3066511,0.36320606,0.39888772,0.39956594,0.3663275,0.31865516,0.28110415,0.26993623,0.28254262,0.30321875,0.3143446,0.30837274,0.29079816,0.2719669,0.25814384,0.24572378,0.22904289,0.20621954,0.182554,0.16400744,0.15471373,0.15658575,0.171704,0.2004097,0.23995276,0.28462088,0.32853523,0.3651451,0.38719702,0.3871851,0.36365667,0.32285392,0.27790624,0.23975772,0.2142301,0.19939423,0.19203056,0.18845052,0.18846059,0.19103806,0.1951641,0.19796342,0.19850786,0.19811107,0.2003017,0.20843054,0.22241104,0.23840845,0.25015172,0.2553262,0.25488672,0.2506597,0.23893124,0.21594064,0.18251051,0.14759463,0.11968552,0.10165719,0.08984443,0.080150105,0.07128944,0.06409737,0.05958599,0.05787185,0.059576254,0.066011734,0.07914054,0.10042735,0.12948376,0.16342293,0.19651477,0.22257322,0.23791814,0.2441902,0.24706943,0.25089595,0.25368574,0.24816895,0.22990258,0.20395578,0.18269233,0.17514671,0.17953064,0.18542878,0.18407176,0.17461783,0.16291462,0.15452707,0.1511664,0.15092288,0.15193665,0.15319312,0.15560324,0.16071276,0.17144023,0.1894476,0.21256888,0.23479982,0.25039747,0.25999984,0.26741043,0.27380678,0.27306086,0.25830796,0.22938876,0.19372302,0.16053484,0.13459662,0.11722654,0.107671835,0.104810804,0.10534494,0.10561157,0.1035788,0.10111565,0.10197172,0.10960001,0.12535845,0.14929737,0.17999484,0.2150721,0.25009206,0.2807537,0.3028349,0.31534696,0.3186878,0.3164475,0.3124089,0.31119812,0.31421337,0.32040617,0.32607332,0.32952288,0.33069232,0.3311739,0.33097422,0.33054826,0.33012798,0.33134747,0.33396992,0.33860967,0.34460688,0.3514912,0.35411882,0.34623834,0.32413623,0.29310423,0.26445612,0.24826835,0.24614017,0.2514856,0.25582382,0.2554351,0.25346255,0.2549154,0.26047662,0.26398107,0.258821,0.24427073,0.22716539,0.21541925,0.21267341,0.21695505,0.22354968,0.22880529,0.23192947,0.2354741,0.24173766,0.2505368,0.2581024,0.261341,0.25997195,0.25735116,0.25659063,0.25922516,0.2639933,0.26890123,0.27161622,0.2715304,0.26982936,0.2692667,0.27148744,0.2751452,0.275907,0.26891384,0.252318,0.22913815,0.20632865,0.19041008,0.18410765,0.1856633,0.1918168,0.19889174,0.2033553,0.2020077,0.19512425,0.18718635,0.18516035,0.19402455,0.21469672,0.24289471,0.27059922,0.28872392,0.2922893,0.28333953,0.269475,0.25760078,0.24845855,0.23615839,0.2150218,0.18625045,0.1592099,0.14318907,0.14055692,0.14552605,0.15086679,0.15267085,0.15199496,0.1528093,0.15954824,0.174309,0.19382916,0.21063446,0.21617685,0.2077936,0.1894532,0.16990662,0.15458225,0.14394464,0.13412827,0.12307731,0.11104196,0.100425266,0.0928542,0.08937281,0.09037755,0.096309714,0.10747001,0.12295241,0.13992977,0.15380116,0.16096579,0.16006228,0.15236498,0.13987386,0.12582418,0.11457321,0.11067321,0.11595263,0.12817599,0.14305623,0.15683472,0.16759028,0.17490776,0.17962895,0.18483208,0.19376004,0.20824409,0.22519349,0.23899633,0.24398835,0.23949797,0.23044889,0.22475667,0.22730953,0.23596323,0.24385826,0.24644344,0.24517173,0.24456286,0.24487107,0.24171077,0.23081918,0.21433406,0.19906889,0.19083454,0.19034736,0.19460136,0.20146026,0.21058236,0.22237761,0.23422112,0.2421007,0.24188568,0.23366016,0.22005105,0.20578395,0.19419499,0.18769825,0.18686788,0.19006377,0.1928377,0.1892926,0.17667203,0.15712255,0.13675678,0.120239906,0.10889965,0.10129716,0.096405506,0.094601266,0.096859775,0.10311941,0.11122856,0.11819927,0.12192545,0.123175435,0.12421677,0.1274129,0.1332687,0.14122884,0.14990015,0.15801255,0.16474979,0.17071937,0.17766057,0.18747936,0.20052792,0.21556427,0.2301109,0.24219231,0.25049666,0.2545388,0.2533108,0.24622773,0.23494607,0.22428203,0.2191195,0.21944284,0.22066973,0.21777368,0.21052337,0.2012852,0.19203265,0.18178403,0.17015786,0.15908009,0.15283328,0.15357506,0.159151,0.1641912,0.1651063,0.16315448,0.16320668,0.1693211,0.18200357,0.19817697,0.21345069,0.2237403,0.22698246,0.22371645,0.21647702,0.208582,0.20214437,0.19875522,0.19863383,0.20190525,0.2064627,0.20943624,0.20785046,0.20201898,0.19505818,0.19033141,0.18870276,0.18836583,0.187427,0.18470858,0.18020855,0.17488652,0.17168887,0.17407109,0.1836729,0.19771536,0.21127617,0.22027235,0.22465326,0.22646455,0.22720091,0.22609706,0.2216673,0.21420912,0.20573898,0.19903506,0.1958618,0.19701874,0.2021207,0.21038912,0.2207868,0.23234814,0.24325597,0.2518487,0.25714758,0.26006854,0.26165926,0.26286498,0.26337573,0.2620074,0.2552253,0.2391692,0.212552,0.18083392,0.15464185,0.14478414,0.15541339,0.18105079,0.20914471,0.22685273,0.22857855,0.2174495,0.20187299,0.18843639,0.18018527,0.17609197,0.17476143,0.17361672,0.171552,0.16757788,0.16268022,0.15728694,0.15217803,0.14783494,0.14599952,0.14768374,0.15240987,0.1575249,0.1617003,0.16569404,0.17185944,0.18034728,0.18914898,0.19565694,0.19920878,0.20033158,0.19922107,0.19508825,0.18802261,0.18053915,0.17679419,0.18018591,0.19060083,0.20495655,0.21781069,0.22426037,0.22162355,0.21177447,0.20023789,0.19208322,0.18779863,0.18319438,0.1746012,0.16333996,0.15459515,0.15232743,0.15508036,0.15800364,0.1570551,0.15286855,0.14943236,0.1507522,0.15660499,0.16222365,0.16145904,0.15216984,0.13810696,0.12576668,0.11875084,0.115650564,0.11275854,0.108257435,0.10317748,0.0993808,0.09725711,0.095962055,0.09464643,0.09319957,0.091377266,0.0883941,0.083454035,0.07684288,0.0698412,0.06379601,0.059188083,0.055531185,0.051727165,0.04694959,0.041244406,0.035712864,0.03139761,0.02855678,0.02644991,0.02430311,0.021785438,0.019156622,0.016868347,0.01530464,0.014537659,0.014275398,0.014025885,0.013524701,0.013112203,0.013837227,0.017042568,0.023733215,0.033920784,0.04659153,0.059935898,0.07181566,0.07988447,0.08233002,0.0790542,0.07285738,0.068641044,0.07065014,0.07980642,0.09347627,0.1084876,0.12309909,0.13727689,0.1497615,0.15838954,0.16113873,0.15928972,0.15732922,0.1621152,0.18099435,0.21719207,0.26776513,0.32051688,0.36275277,0.385641,0.3925756,0.3914022,0.3900269,0.38883087,0.385725,0.37991557,0.3743786,0.37214258,0.37401962,0.37880766,0.38531184,0.39114988,0.39276788,0.38600776,0.3713243,0.3543967,0.34334126,0.3412863,0.3438454,0.34303507,0.3338808,0.31867012,0.3040841,0.2979301,0.3036702,0.3192656,0.33693957,0.34775898,0.34706846,0.33585396,0.31969056,0.3035324,0.29208064,0.28854334,0.29462686,0.3070211,0.31907356,0.3265319,0.3324164,0.3424673,0.35694632,0.36752594,0.36558792,0.34942436,0.32608426,0.30406332,0.289125,0.2818384,0.28086606,0.28391483,0.29053319,0.30108747,0.31678116,0.33516732,0.3500439,0.35290346,0.34125602,0.3200394,0.2998486,0.28828776,0.28908017,0.30061087,0.31791982,0.33103386,0.33039072,0.31324804,0.28686,0.26271683,0.24749164,0.24113242,0.24006812,0.24238436,0.24633722,0.2479869,0.24148043,0.22431256,0.20133029,0.1815908,0.17293854,0.1782517,0.19781792,0.22913516,0.26594958,0.29659423,0.3093334,0.29834667,0.26859802,0.23227322,0.20260005,0.18549825,0.17943591,0.17951514,0.18492366,0.19790494,0.21843684,0.2393759,0.25036684,0.24623539,0.23083276,0.2135434,0.20167793,0.19771181,0.19979018,0.20408607,0.20639457,0.20557697,0.20698373,0.21907812,0.24542384,0.27735522,0.29947796,0.30026495,0.2809466,0.25277695,0.22943611,0.22058679,0.23009174,0.2559453,0.28913388,0.31577322,0.3234204,0.3102275,0.2852665,0.261953,0.24738795,0.2402818,0.23460472,0.226655,0.21870811,0.21679886,0.22547908,0.2417367,0.2569001,0.26215193,0.25638875,0.24474013,0.23463587,0.22858095,0.22554117,0.22245558,0.21863906,0.21549116,0.2155328,0.22092883,0.23099482,0.24272911,0.25179145,0.25693452,0.26081553,0.2667823,0.27453363,0.27916017,0.27602276,0.2647029,0.24963176,0.23632765,0.22837484,0.22634684,0.23024921,0.23915637,0.251115,0.2602016,0.2608881,0.2512042,0.23591407,0.22172825,0.21303274,0.21057518,0.2126919,0.21765102,0.22242047,0.22588573,0.22871025,0.23570538,0.249035,0.26647902,0.27949893,0.2821791,0.2750113,0.2656788,0.26062545,0.261018,0.262547,0.26108563,0.25493914,0.2455985,0.23414628,0.22090073,0.20522021,0.18975253,0.17929567,0.17840487,0.18599011,0.19698071,0.20570193,0.20955418,0.20828171,0.20251805,0.19349372,0.18238439,0.17093773,0.1605431,0.15403016,0.15300655,0.1575516,0.16435201,0.17185728,0.18154937,0.19700848,0.21658963,0.23203988,0.23328824,0.21687174,0.18769075,0.1547105,0.12561338,0.10526591,0.09542811,0.09524708,0.102974355,0.11973084,0.14876844,0.1891029,0.22975807,0.25464627,0.25550976,0.23879617,0.21870716,0.20379384,0.19295685,0.18219765,0.17215651,0.16660519,0.16665055,0.16858996,0.16820437,0.16463064,0.16091545,0.1608973,0.16748124,0.1816833,0.20241229,0.22534859,0.2431526,0.24864434,0.23969771,0.2212414,0.20130454,0.18496014,0.17201273,0.16108845,0.15301336,0.15087807,0.15531497,0.16357623,0.1706475,0.17370653,0.17307277,0.17162704,0.1715767,0.17320381,0.17586803,0.17960727,0.1850791,0.19102663,0.1947654,0.19389242,0.18964761,0.18514226,0.18344049,0.1847729,0.1879766,0.19204183,0.19750883,0.20584273,0.21735029,0.23030244,0.24079828,0.24534929,0.24274026,0.23516457,0.22628434,0.2188466,0.21314555,0.20842208,0.20452797,0.2029122,0.20497595,0.21084855,0.21836482,0.22388415,0.22367603,0.21619838,0.20394139,0.19197035,0.1845004,0.18080781,0.17707519,0.17015128,0.16180742,0.15598108,0.15523213,0.1578486,0.16075039,0.16262786,0.16502549,0.17076896,0.18034863,0.19141908,0.19880414,0.19942312,0.19386137,0.18630223,0.1795869,0.17321348,0.16505592,0.15429749,0.14252314,0.13153191,0.12284411,0.11730274,0.11520771,0.1153827,0.11524981,0.11283508,0.107697554,0.10097035,0.09296721,0.08317703,0.07087271,0.057126746,0.044245843,0.034473628,0.028376976,0.024986684,0.022831641,0.02087986,0.018985083,0.017461171,0.016669778,0.016540067,0.016679749,0.016648114,0.016160555,0.015200193,0.013897184,0.012537338,0.011264983,0.010120545,0.009262034,0.009702504,0.013442092,0.022696406,0.03813831,0.057779938,0.07768782,0.09441996,0.10742995,0.11949575,0.13501197,0.15732747,0.18624562,0.2178222,0.24620043,0.26803365,0.28498363,0.30226612,0.32387385,0.3476564,0.3682716,0.38095462,0.38772655,0.39249334,0.39929876,0.4087706,0.42248714,0.4428127,0.46994373,0.49946675,0.52022624,0.52375156,0.5063322,0.47671214,0.44426703,0.41739216,0.39537612,0.37668434,0.3592173,0.34317288,0.32990655,0.32053694,0.31621423,0.31402954,0.31121066,0.3052549,0.29987526,0.30139437,0.31767836,0.3486568,0.38520876,0.41173813,0.42141256,0.42067552,0.4237292,0.43548992,0.44834813,0.44949174,0.434554,0.4094117,0.38596383,0.37325785,0.37279165,0.37765157,0.3777151,0.36887893,0.35543916,0.34738111,0.35044885,0.3639299,0.38030127,0.39032793,0.386651,0.36788642,0.33975127,0.31144553,0.28981188,0.2775761,0.27434754,0.2811233,0.29601324,0.3149648,0.32969955,0.33704996,0.33819938,0.34010565,0.34894395,0.37122393,0.40954384,0.46000612,0.510019,0.54475635,0.55618405,0.5460265,0.52260137,0.49475563,0.46895814,0.4484012,0.43231294,0.41897228,0.40646645,0.3950362,0.38445494,0.37428585,0.36509857,0.35889825,0.3590803,0.36518702,0.3735943,0.3769767,0.3711728,0.35699537,0.3425665,0.33775517,0.34836695,0.37049606,0.3919678,0.40078017,0.39327776,0.3773172,0.36369327,0.35844553,0.35914162,0.36209616,0.36693314,0.37577084,0.38607606,0.38994148,0.37998593,0.35794196,0.33304474,0.31475654,0.30444357,0.29742166,0.28936687,0.28234193,0.28198615,0.29084718,0.30401424,0.31324098,0.3136934,0.30661798,0.29562697,0.2823545,0.26739192,0.25347543,0.2473865,0.25555417,0.27847624,0.30847242,0.33417568,0.34796384,0.3491472,0.34234858,0.33371553,0.3300537,0.33825722,0.36138663,0.39410624,0.4221922,0.43276533,0.4227096,0.4025221,0.385208,0.3792336,0.3818644,0.38631535,0.38464668,0.37505904,0.36061215,0.34886697,0.34662378,0.35604346,0.3754778,0.4006463,0.42971468,0.46033522,0.490415,0.5164517,0.5353381,0.54525685,0.5418856,0.5226381,0.48549807,0.43792805,0.38971558,0.35252523,0.33006456,0.32151517,0.3218392,0.32615566,0.3294795,0.32734862,0.31810462,0.30382344,0.28949922,0.2799007,0.27737486,0.28250143,0.29181203,0.3003951,0.3019688,0.29720262,0.29147756,0.293553,0.30507883,0.32114026,0.3334603,0.3397812,0.34457016,0.35275912,0.36256197,0.36653256,0.36027324,0.34745455,0.33605883,0.33123156,0.33184084,0.33393466,0.33279386,0.3254303,0.31028184,0.28949705,0.26771495,0.25014737,0.24039936,0.24030118,0.25149953,0.27337816,0.30304545,0.33366868,0.35914585,0.3737019,0.3750441,0.36284515,0.3424977,0.32088313,0.30363572,0.28965542,0.27634904,0.26251006,0.25080162,0.24240981,0.23630406,0.230231,0.22372866,0.21796338,0.21409635,0.21240063,0.21219788,0.21271972,0.21400236,0.21741007,0.22524905,0.2390421,0.25704822,0.2742491,0.28452137,0.28522265,0.27776524,0.26659644,0.2562074,0.2503352,0.2500511,0.25366017,0.25806677,0.2626926,0.26937792,0.27839673,0.2846289,0.27993727,0.2614724,0.23639505,0.21844836,0.21718924,0.23045878,0.24655758,0.2538332,0.24899341,0.23767392,0.22697191,0.2206332,0.21702887,0.21498115,0.21302879,0.21036513,0.20344542,0.1910247,0.17490233,0.1606611,0.15167575,0.14775287,0.14573874,0.14332546,0.13975027,0.13511364,0.12934472,0.1226556,0.11548468,0.10804537,0.09952625,0.08932835,0.077928044,0.06708109,0.05808091,0.051092315,0.045595914,0.0412356,0.03797953,0.035445675,0.033263322,0.031133428,0.029227225,0.02743386,0.025387956,0.02266487,0.01949643,0.016914893,0.016440872,0.019392854,0.02648803,0.037415583,0.051044535,0.065182514,0.07754043,0.08674515,0.09396204,0.10218393,0.113685995,0.1281951,0.14363426,0.15957911,0.17668857,0.1952024,0.21118283,0.22029619,0.21924491,0.21045667,0.19813506,0.18866819,0.1850893,0.18787865,0.19340973,0.19899122,0.20448636,0.21202658,0.22199076,0.23173909,0.23826712,0.2405141,0.2391076,0.23341191,0.22186923,0.2037558,0.18218113,0.16272609,0.15098907,0.14911473,0.1558733,0.16835833,0.18412985,0.20188677,0.2204495,0.23830926,0.25323692,0.2630411,0.26652396,0.2635844,0.2560418,0.24633181,0.2389736,0.23765744,0.24470465,0.2570208,0.26990703,0.2795341,0.28761068,0.29707155,0.30857417,0.31741175,0.3176777,0.30688718,0.28789607,0.26792148,0.2534568,0.24854402,0.2510048,0.256604,0.26032603,0.26189804,0.26338267,0.26839772,0.2775226,0.28775346,0.29361477,0.2917138,0.28482807,0.27973196,0.2821702,0.29185227,0.30566558,0.32071713,0.33574283,0.34700295,0.34874332,0.33658683,0.3128871,0.28569344,0.2643335,0.2535158,0.25113106,0.2505071,0.24543788,0.2357279,0.22622126,0.22209059,0.22284079,0.22400016,0.22245973,0.22005516,0.22046804,0.22502232,0.2323755,0.24143858,0.2515039,0.26108694,0.2679094,0.27283642,0.27915373,0.28983667,0.30272803,0.31402075,0.32102633,0.325532,0.33014974,0.33595455,0.34091857,0.3419465,0.33867684,0.33304867,0.32809138,0.3232772,0.31764457,0.3122445,0.31207657,0.3194779,0.32938886,0.33185935,0.3216556,0.30352652,0.28789476,0.28221723,0.28800416,0.3028294,0.32217395,0.3385209,0.34309062,0.33295164,0.31553295,0.3053117,0.31125948,0.33048406,0.34981826,0.35753718,0.34894106,0.32739425,0.29839393,0.26754475,0.23925342,0.2179312,0.2071936,0.20981263,0.22554278,0.24967492,0.2725303,0.28441635,0.28157964,0.2688415,0.25494936,0.24584724,0.2409184,0.23561823,0.22549613,0.21061282,0.19521815,0.18585669,0.18645124,0.19589968,0.20971058,0.22366768,0.23713458,0.25062037,0.26462218,0.2777331,0.28973913,0.29961053,0.30705413,0.3108151,0.31381094,0.31926188,0.32807258,0.3333682,0.32651076,0.30405143,0.27183798,0.24037386,0.21814525,0.20759921,0.20573951,0.2065885,0.20472826,0.19762777,0.18598504,0.1720618,0.157167,0.14171278,0.12598607,0.111756444,0.10108003,0.09507436,0.0927161,0.09229374,0.09260566,0.09412762,0.09781896,0.10441601,0.113414675,0.12363169,0.134251,0.14524597,0.15784414,0.17238827,0.18880199,0.2051291,0.21977508,0.22982602,0.23292784,0.2269658,0.21383943,0.19864064,0.18834484,0.1871953,0.1959899,0.21206944,0.23057084,0.24421532,0.24584736,0.23251045,0.20890893,0.1846764,0.16831888,0.1620364,0.16275747,0.16590239,0.169161,0.1724758,0.17727788,0.18451226,0.1936876,0.20208703,0.2067632,0.20799737,0.21014349,0.21788734,0.23027022,0.24041118,0.24076788,0.22898681,0.20907114,0.18818845,0.17358746,0.16909029,0.17276625,0.17712842,0.1739378,0.16078076,0.14211322,0.12483683,0.11176168,0.1009363,0.0893983,0.07696844,0.06595661,0.058171462,0.053708445,0.051630214,0.051655803,0.05410354,0.05953933,0.06823359,0.0803189,0.09523466,0.11128956,0.1254188,0.13463628,0.13778414,0.1368261,0.13555558,0.13684733,0.13985269,0.14059676,0.13510776,0.123313874,0.108775,0.09614536,0.08796493,0.08526016,0.08814746,0.096116066,0.10606278,0.11336098,0.1141499,0.108724736,0.10072112,0.09520643,0.09576266,0.10408768,0.119267106,0.13828045,0.15645725,0.17003083,0.17741708,0.1793617,0.17691334,0.17046963,0.16041465,0.14794232,0.13535899,0.1245414,0.11689213,0.11287884,0.11250531,0.11465255,0.11791068,0.121890366,0.12782101,0.13668527,0.14671665,0.15362823,0.15413576,0.14990366,0.1474505,0.15416653,0.17202435,0.19521356,0.21175979,0.21106572,0.18996032,0.15560232,0.12060562,0.09587278,0.08458334,0.08257108,0.08281845,0.08090708,0.07649204,0.07198224,0.06945344,0.06940362,0.070388176,0.070205726,0.0674363,0.06245547,0.05707815,0.052736536,0.04967198,0.047331188,0.04547891,0.044291824,0.043679047,0.042989757,0.04135226,0.038505893,0.034922287,0.0314981,0.028811103,0.026888482,0.025401264,0.024096804,0.023028614,0.022379622,0.022201486,0.022196556,0.02191273,0.021056013,0.019792596,0.018550873,0.017753474,0.01753433,0.017847197,0.018502712,0.019159092,0.01930064,0.018500531,0.016850516,0.015031509,0.013869569,0.01371502,0.014413141,0.015705816,0.017852647,0.021597877,0.028161684,0.038500335,0.0530275,0.07071663,0.08938608,0.10600948,0.11845822,0.12662174,0.13316737,0.14156212,0.15409459,0.16974266,0.18556659,0.19837236,0.20672877,0.21158005,0.21505755,0.22050194,0.22930007,0.241252,0.25228897,0.2580416,0.25430447,0.24058287,0.21926825,0.19643418,0.17832159,0.16886549,0.16648336,0.16629629,0.16374783,0.15865624,0.15445685,0.15498625,0.1606086,0.16763914,0.17149608,0.17069994,0.1685232,0.16897167,0.17296655,0.17681359,0.17658259,0.17088331,0.16178483,0.15250961,0.14620738,0.14560287,0.15183651,0.16370688,0.17656104,0.18515398,0.18628986,0.18155414,0.17578703,0.17404974,0.17849493,0.18709113,0.19560362,0.20002693,0.19949107,0.19590215,0.19301228,0.19407237,0.19998312,0.20865263,0.2159018,0.21917312,0.21811317,0.21469955,0.20966442,0.20386952,0.19806238,0.19515868,0.19735551,0.20584284,0.21897914,0.23433375,0.24880819,0.26062417,0.26895526,0.2739843,0.2754484,0.27265742,0.26599964,0.25656143,0.24549182,0.23148,0.21342272,0.19209759,0.17143764,0.1555881,0.14592959,0.14057666,0.13552006,0.12849995,0.1211394,0.11956337,0.12999828,0.15322441,0.18154442,0.20309506,0.21020664,0.20520754,0.19694583,0.19254912,0.19179411,0.1900552,0.18464494,0.1779923,0.17519659,0.1788172,0.1867042,0.19286673,0.1923241,0.18399052,0.17200728,0.16191708,0.15725036,0.1568502,0.1578917,0.15986294,0.16727662,0.18464197,0.21006858,0.23199856,0.2381422,0.2249167,0.20211504,0.18233038,0.17196107,0.16725028,0.16285302,0.15679203,0.15183479,0.1506781,0.1545827,0.16253328,0.17164116,0.17619912,0.17009878,0.15087943,0.12362963,0.09854137,0.08490647,0.08539808,0.09659449,0.11296513,0.1303748,0.14596926,0.15745074,0.1631267,0.16362654,0.16093905,0.15777142,0.1556973,0.15650074,0.16045408,0.16559744,0.1666827,0.16000818,0.14761674,0.13755865,0.13717866,0.14643164,0.15815456,0.16418199,0.1616887,0.15334855,0.14418902,0.13863496,0.13936709,0.1472987,0.16134556,0.17906213,0.19647731,0.20813851,0.20921184,0.19910975,0.18367743,0.17096972,0.16513324,0.16340466,0.15990593,0.15137924,0.13917397,0.12741232,0.11962462,0.1181232,0.12355723,0.13500978,0.14907706,0.1615222,0.16905187,0.17170398,0.17171033,0.17186104,0.1724316,0.17129312,0.16590486,0.15662952,0.14718272,0.14132275,0.13948156,0.13858545,0.13570729,0.13125725,0.12815906,0.12900864,0.13283062,0.13642006,0.13640374,0.13275625,0.12797062,0.1251864,0.12488663,0.12518449,0.12374952,0.119803585,0.113601446,0.104848176,0.092845134,0.077689774,0.061460093,0.046798036,0.035716772,0.028666524,0.025631666,0.026458412,0.030892774,0.03779353,0.04501915,0.050309956,0.05221777,0.05091307,0.047516555,0.043575693,0.040317982,0.039065108,0.041708622,0.050850492,0.06840034,0.09361135,0.12240925,0.15070108,0.17772256,0.20656528,0.23777847,0.26574156,0.2814777,0.2838465,0.2836711,0.2976365,0.33228925,0.37885836,0.41707614,0.4310238,0.41427466,0.37260464,0.31748545,0.26517874,0.23158054,0.2269413,0.25005957,0.2891253,0.3279632,0.35200825,0.35175446,0.3269042,0.28908557,0.25900084,0.25333753,0.27421796,0.30832282,0.34016266,0.36209512,0.37626532,0.3842783,0.38416186,0.37358543,0.3608718,0.3611822,0.3869131,0.43371424,0.4824901,0.5079785,0.49255285,0.4351392,0.3522416,0.2698475,0.20900224,0.17794758,0.17378062,0.18937176,0.21615827,0.2432378,0.2606398,0.26419556,0.25898662,0.25115412,0.24450296,0.23806167,0.2337598,0.2338024,0.2389689,0.24623024,0.25285462,0.2592828,0.26544985,0.26895675,0.2654538,0.25459644,0.24034953,0.22754449,0.2175836,0.20852102,0.19886209,0.18903697,0.18164188,0.17804109,0.17789948,0.17801954,0.17653292,0.1745168,0.17705052,0.1871716,0.20407777,0.22337085,0.24358924,0.26353827,0.28222176,0.29553938,0.3051953,0.31491074,0.3281461,0.33937657,0.3425524,0.33698797,0.3301655,0.32976827,0.33852467,0.35377344,0.3689437,0.37573624,0.3680273,0.34784707,0.32510746,0.31095397,0.30890867,0.31529486,0.32318282,0.328184,0.32749268,0.3216877,0.3134766,0.30767918,0.30747,0.3143457,0.32903257,0.349311,0.36806145,0.37419093,0.36365274,0.34290195,0.325044,0.31575704,0.3122896,0.30841848,0.3044361,0.302833,0.30358547,0.30082694,0.29072317,0.27531895,0.26068485,0.2506307,0.24570604,0.24612193,0.25224426,0.26081458,0.2642689,0.2555152,0.23546945,0.2117594,0.19266981,0.17924257,0.16752075,0.15352859,0.13975096,0.13246863,0.13782398,0.15536828,0.17878483,0.19781284,0.204787,0.19729443,0.17923425,0.15765338,0.13992508,0.13197696,0.13697046,0.15507908,0.18244739,0.21256723,0.23780985,0.253593,0.26022378,0.2622378,0.26337472,0.2640963,0.26380214,0.26542914,0.27455637,0.29268253,0.3133014,0.32635084,0.32685816,0.3170329,0.30075988,0.27865857,0.24973142,0.21777369,0.19211642,0.1832075,0.19419293,0.21941154,0.24645281,0.26318976,0.2617183,0.24156706,0.20949882,0.17757769,0.15840624,0.15865554,0.1752371,0.19654916,0.21025287,0.2108031,0.20170195,0.19008748,0.18065457,0.1737415,0.16842358,0.16427194,0.16062357,0.15512252,0.14551745,0.13244025,0.11975793,0.11147197,0.1082592,0.10738948,0.105123304,0.09949708,0.09024128,0.07812473,0.06398054,0.049433094,0.036557715,0.027443325,0.02293287,0.02226826,0.023417575,0.024228169,0.023658678,0.0219646,0.019978108,0.018106656,0.016270583,0.01437804,0.012726006,0.011818543,0.01189185,0.012739924,0.013762684,0.014366607,0.014043126,0.012625254,0.0102822585,0.007777994,0.0062998496,0.0071654567,0.011227925,0.018624425,0.028925715,0.04173482,0.056786478,0.073777795,0.09178666,0.11013494,0.12862052,0.1475658,0.16499567,0.1772303,0.18076096,0.17822109,0.17699653,0.18536556,0.20462614,0.23014818,0.25569645,0.27878016,0.2986621,0.31244662,0.31488398,0.30375317,0.28354812,0.26332006,0.24989419,0.24433649,0.24351577,0.24487121,0.24882007,0.25624022,0.26431742,0.2662365,0.25613925,0.23542406,0.21243961,0.19707723,0.1936748,0.19976063,0.20972264,0.21882348,0.22575754,0.23068337,0.236,0.24347818,0.2552077,0.2689358,0.28032184,0.28345075,0.2795826,0.27743745,0.2904273,0.32307577,0.3674662,0.40665877,0.42871466,0.43011358,0.4144301,0.3860811,0.35242796,0.3234111,0.3082056,0.3079332,0.31711403,0.329446,0.34290433,0.3559601,0.3666083,0.37412453,0.38219061,0.39385965,0.40642428,0.41488293,0.42008957,0.43155816,0.4566531,0.49031457,0.5142114,0.5091298,0.46882048,0.40553853,0.3443925,0.31047833,0.31665242,0.35753202,0.41189793,0.45353517,0.46517384,0.44689596,0.41228375,0.37633267,0.34672904,0.32540902,0.3130447,0.3101243,0.3147094,0.3232984,0.33625746,0.35666212,0.38570133,0.41715506,0.44068167,0.45109355,0.44809714,0.43687522,0.4188888,0.39751434,0.3761963,0.3604041,0.35200956,0.3471749,0.34052244,0.32826486,0.3114419,0.29382992,0.28000554,0.27415523,0.27583158,0.28126654,0.28395137,0.28010628,0.26814523,0.24927616,0.22776364,0.21159829,0.20869066,0.22079915,0.24185379,0.26286808,0.27996835,0.29593077,0.3170202,0.34345278,0.36886775,0.38147303,0.37549636,0.35172257,0.31882372,0.28439936,0.25488785,0.23244654,0.2176102,0.20848674,0.20330931,0.2010554,0.20151795,0.20377433,0.20688778,0.21072806,0.21750067,0.22984503,0.24965806,0.27553412,0.30331886,0.32703105,0.34192434,0.3465383,0.3451136,0.34616697,0.35658315,0.37485862,0.39225236,0.40311638,0.41098693,0.4250311,0.45080653,0.4895266,0.5398974,0.595656,0.641352,0.65615374,0.6301573,0.5717679,0.50442004,0.4490629,0.41739953,0.41005114,0.42470455,0.45404696,0.48625985,0.50344586,0.4947332,0.4612653,0.41725922,0.37661067,0.34839633,0.33469665,0.3340801,0.33985254,0.3426716,0.33627883,0.32510427,0.32249773,0.3413793,0.38334095,0.43684125,0.48390082,0.5103328,0.5116782,0.4933586,0.46601805,0.43958107,0.41881797,0.40173766,0.3832108,0.35926285,0.33215728,0.30947217,0.30113462,0.313511,0.3456606,0.3889276,0.4295195,0.45346376,0.45153853,0.42279074,0.37650028,0.32782337,0.29177845,0.27486524,0.27416363,0.28050387,0.28404346,0.27809417,0.2604504,0.23590338,0.21379445,0.20328969,0.20550483,0.21338044,0.21744512,0.21387859,0.20615189,0.20009513,0.19822413,0.19818097,0.19677384,0.19349344,0.19012737,0.18786721,0.18632215,0.18639262,0.19075121,0.20066874,0.21298976,0.22135204,0.2213888,0.21136154,0.19236813,0.1674489,0.14357339,0.12935372,0.12978417,0.14259115,0.15953363,0.17313682,0.18100412,0.18686937,0.19562246,0.20909928,0.22460318,0.23749395,0.24410965,0.24213777,0.23179431,0.21642978,0.20384835,0.20271634,0.21774387,0.2453322,0.27420387,0.29137436,0.28956482,0.2722488,0.2506395,0.23734343,0.23894596,0.25505787,0.2784459,0.2995457,0.30852965,0.30183795,0.2832487,0.26376876,0.25294232,0.25414032,0.26430833,0.2802271,0.3014574,0.32564092,0.34600532,0.35310343,0.34443644,0.32412648,0.2994953,0.27472863,0.25253546,0.23706268,0.23220281,0.24075592,0.25906417,0.2818387,0.30141225,0.3156495,0.32517043,0.3326012,0.33729923,0.33619785,0.32719922,0.30966362,0.28455514,0.25315776,0.22002764,0.19188072,0.17467652,0.1684323,0.16857749,0.16958332,0.17059784,0.17506956,0.18854173,0.21346436,0.24692063,0.27980214,0.30095997,0.302259,0.28373414,0.25215042,0.21674837,0.18406324,0.1577415,0.13909698,0.12814045,0.123112224,0.122606546,0.12695359,0.13850984,0.15902744,0.1871487,0.2182614,0.24563491,0.2645869,0.2743788,0.2790814,0.28301585,0.28755334,0.2903824,0.28894103,0.28367507,0.27749848,0.27416554,0.2747914,0.27850065,0.28246596,0.2849848,0.28494003,0.28218147,0.27733895,0.27351418,0.27572712,0.28715888,0.30500424,0.32138774,0.32759202,0.32055572,0.30303147,0.28289917,0.2673308,0.26036307,0.26063326,0.26349798,0.26400796,0.2599232,0.2519315,0.24267502,0.2333774,0.22519417,0.21841745,0.21560962,0.21713465,0.22179548,0.22463249,0.22256128,0.21397121,0.20071004,0.18471669,0.16950667,0.15827203,0.1534459,0.15470336,0.15929474,0.16485222,0.16938965,0.17296185,0.17402394,0.17229168,0.16761428,0.1637304,0.1644847,0.17175479,0.18255435,0.19193202,0.19647662,0.19503145,0.18705617,0.17240469,0.15394564,0.1383823,0.13281165,0.14017105,0.1573044,0.17656122,0.18851502,0.18644612,0.17059422,0.14847676,0.13022637,0.12047573,0.11753726,0.115452714,0.1116899,0.106774725,0.10399891,0.10442207,0.10719785,0.10978842,0.11049522,0.109250575,0.107181005,0.10551974,0.10444111,0.10379396,0.102943145,0.101678796,0.09939348,0.09634868,0.09274563,0.08923164,0.08569851,0.0823033,0.079314135,0.07751963,0.07761031,0.08018351,0.08577978,0.0948157,0.10689744,0.119562775,0.12887454,0.13221028,0.13207601,0.13478905,0.14493585,0.16043359,0.17463098,0.1828451,0.18517993,0.18454893,0.18198337,0.17700349,0.16895397,0.1595607,0.15106072,0.14546148,0.14387174,0.14945705,0.16772006,0.20310605,0.2516127,0.298353,0.32394347,0.31741807,0.2834395,0.23876882,0.20001931,0.17540453,0.16350849,0.15908897,0.15677936,0.15347497,0.14731647,0.13854544,0.12891062,0.12231804,0.12228612,0.13026173,0.14373256,0.15844025,0.17106478,0.18137938,0.19118917,0.20218281,0.21429545,0.2257884,0.23410274,0.23715441,0.23397684,0.2258448,0.21514262,0.20442604,0.19392246,0.1836227,0.1748765,0.17301889,0.18234138,0.20227166,0.22400218,0.23813789,0.23985529,0.23286556,0.22243924,0.21298574,0.20680223,0.20737875,0.2163092,0.2295741,0.23859568,0.23765095,0.22978891,0.22247952,0.21953182,0.2176466,0.21186568,0.20150459,0.19088376,0.18565856,0.18947542,0.20177783,0.21719146,0.22683094,0.22379369,0.2077564,0.18523759,0.16418372,0.14962707,0.142866,0.14381953,0.15157627,0.16489463,0.18120916,0.19838388,0.21339059,0.22402382,0.22758448,0.22377205,0.21348923,0.19977236,0.18571067,0.1738786,0.16548695,0.1600181,0.1567459,0.1545114,0.15344723,0.15378124,0.15712406,0.16363566,0.1710801,0.17397954,0.16796006,0.15443091,0.14031516,0.13396136,0.13845037,0.15176581,0.1676107,0.17995572,0.18411069,0.18030126,0.17255448,0.16664606,0.16438872,0.16384862,0.16119389,0.15537696,0.14759578,0.14071159,0.13587137,0.13199021,0.12624149,0.11789765,0.11028489,0.10848542,0.115386605,0.12886532,0.14382042,0.15362935,0.15414949,0.14503863,0.13160692,0.11971562,0.113454364,0.112122975,0.114561625,0.11799493,0.11979314,0.11575956,0.10507229,0.09073573,0.07952458,0.0757763,0.079133905,0.08404407,0.08513632,0.08013146,0.07134874,0.06257095,0.056746244,0.054831322,0.056935098,0.06332948,0.07454399,0.08969545,0.10604415,0.119111,0.1258771,0.12596937,0.122309,0.11893231,0.11885471,0.12273393,0.12821953,0.13261802,0.1347825,0.13690169,0.1413974,0.14823657,0.15407257,0.15541889,0.15144454,0.14438784,0.1371429,0.13173665,0.12861268,0.12829004,0.13177234,0.1402768,0.15312742,0.16675194,0.17614336,0.17781459,0.17201148,0.16210377,0.15194224,0.14376599,0.13777745,0.13366598,0.13140444,0.13123988,0.13354325,0.13862509,0.14599815,0.15244399,0.15326667,0.14623922,0.1352313,0.12712033,0.12512423,0.12564106,0.122308396,0.112830706,0.10046669,0.09089854,0.087309755,0.089858435,0.09656336,0.10540978,0.11478808,0.124038935,0.13284726,0.14009626,0.14338268,0.14045791,0.1317691,0.12163318,0.11646936,0.12157091,0.13704488,0.15683329,0.17068148,0.17085643,0.1569467,0.13631491,0.117808096,0.10581255,0.09852451,0.092019975,0.08446437,0.07731771,0.07301851,0.07317343,0.078011036,0.086533986,0.09572468,0.1008861,0.09834229,0.08892829,0.0784088,0.07404583,0.079957314,0.0951683,0.114187814,0.13015,0.1377727,0.1364979,0.13041396,0.12592526,0.12746988,0.13531344,0.1458952,0.15429837,0.15673985,0.15239829,0.14347865,0.13366488,0.1254829,0.11898673,0.11235558,0.1039992,0.09459395,0.087369956,0.08613185,0.09174473,0.10115329,0.10979399,0.1155592,0.11905261,0.120965324,0.11976472,0.11319866,0.10099721,0.08587825,0.07165262,0.061110597,0.05492123,0.05215996,0.050724313,0.048462052,0.043879077,0.03742375,0.030851737,0.026257694,0.024173493,0.02363797,0.022937082,0.021155572,0.01848186,0.015782977,0.013730783,0.0124923615,0.01191437,0.011823078,0.012095704,0.012487963,0.01264517,0.012232871,0.011303685,0.010201951,0.009387205,0.00894152,0.00869858,0.0083386125,0.0077940486,0.007073087,0.006302289,0.0055261664,0.0049132984,0.0046312497,0.0049678273,0.006247856,0.008951741,0.013472609,0.01990183,0.027825192,0.036549482,0.045245245,0.053674933,0.0622693,0.07283569,0.08679238,0.10494396,0.12564492,0.14758511,0.16980274,0.1940375,0.22117507,0.25081864,0.27903172,0.30193725,0.31730148,0.3263174,0.33138874,0.33463168,0.3378184,0.34394607,0.35726035,0.38063824,0.41158855,0.44162217,0.46145716,0.467648,0.4668108,0.46711233,0.4722158,0.47636676,0.47380504,0.46198738,0.44157407,0.41342846,0.37861326,0.34215888,0.3087965,0.28188297,0.2615495,0.24903785,0.24545325,0.25040576,0.2598585,0.2697585,0.27799127,0.28711447,0.30122414,0.32446364,0.35783148,0.3983713,0.4407994,0.48022166,0.51692176,0.55144954,0.57862,0.5849268,0.5617438,0.5183366,0.4781109,0.45921373,0.46068576,0.46880367,0.47359574,0.47434542,0.47517645,0.47548482,0.47077993,0.45697942,0.43844643,0.42985713,0.4476416,0.495572,0.5545709,0.5927158,0.5858712,0.53468734,0.46077406,0.3889018,0.33232048,0.29110777,0.26203337,0.24422759,0.23931378,0.24616428,0.25985655,0.27460527,0.28768435,0.30169186,0.32106277,0.34793457,0.37851366,0.40542448,0.42234445,0.42725077,0.42228583,0.41082323,0.39647233,0.38220617,0.37214503,0.37067994,0.38161233,0.4035848,0.42943934,0.4480647,0.45122746,0.43681148,0.40969953,0.3788149,0.35416114,0.34280086,0.34414652,0.35044828,0.35099247,0.3413743,0.32479024,0.30923033,0.29930314,0.2950251,0.29409954,0.29700443,0.30767596,0.32929632,0.35942188,0.38724533,0.40054095,0.39363003,0.37527224,0.36392698,0.37701645,0.41685453,0.46543232,0.49431252,0.48259774,0.433303,0.36896023,0.31704843,0.2919663,0.29238698,0.30574545,0.31745073,0.31682608,0.3019654,0.28094625,0.2676758,0.27268615,0.2952994,0.32271168,0.33904275,0.3355017,0.3172256,0.29722401,0.28847048,0.29456687,0.31262073,0.3363031,0.3619235,0.3868537,0.40994415,0.4300641,0.446641,0.4578108,0.46092698,0.454922,0.4436791,0.43407035,0.4306763,0.4311159,0.4296093,0.4237444,0.4186448,0.42042062,0.428787,0.43424702,0.42854783,0.4112998,0.3924388,0.38056692,0.3781389,0.3788732,0.37779912,0.37352976,0.36959624,0.36560786,0.359157,0.34648928,0.33029234,0.3139464,0.3006045,0.28908455,0.28021052,0.27561447,0.27618298,0.2785423,0.27978396,0.28211382,0.29144812,0.30878854,0.32716647,0.33585957,0.33110774,0.31588277,0.29869148,0.28456536,0.2772433,0.27557084,0.2779946,0.28028652,0.27996254,0.27660155,0.2730699,0.27369153,0.280737,0.29439676,0.31135,0.32863772,0.3423145,0.35029647,0.35004708,0.34085038,0.32359692,0.3021849,0.28284574,0.27041483,0.2664721,0.26744893,0.2693703,0.2708819,0.27442405,0.2821202,0.29112267,0.29568303,0.2908065,0.2782539,0.26350078,0.2538467,0.25174788,0.25568214,0.2600949,0.26145947,0.25940725,0.2567866,0.25735295,0.26344588,0.27533212,0.2879039,0.29527763,0.29377127,0.28757533,0.28220174,0.28146347,0.28426474,0.2894361,0.2952311,0.29894817,0.2967641,0.28691822,0.2717326,0.25481144,0.23892719,0.2243693,0.21113895,0.19957702,0.19108504,0.18779486,0.19000436,0.1956596,0.19944231,0.19865346,0.19409268,0.19098854,0.19223529,0.19694376,0.20025861,0.19838493,0.19093202,0.18126303,0.1742359,0.17299521,0.17736684,0.18373585,0.18846102,0.18997687,0.18988954,0.18981667,0.1900476,0.18831722,0.18331121,0.17534329,0.168086,0.16520552,0.16958137,0.18027778,0.19250792,0.19862926,0.1924703,0.17442465,0.15133092,0.13280149,0.12498423,0.12899156,0.14166887,0.15778218,0.17143498,0.17756599,0.17401011,0.1626296,0.14820565,0.13552201,0.1265454,0.12032214,0.1151826,0.110888064,0.108376175,0.107476614,0.1060793,0.101664215,0.093770064,0.08403317,0.074406505,0.06569607,0.057818186,0.050710604,0.044301376,0.0384263,0.03274499,0.027465157,0.02303384,0.019910427,0.01793181,0.016757257,0.016027039,0.015566914,0.015035406,0.013991074,0.012165527,0.009781123,0.0074227476,0.0058496217,0.0059126727,0.008705515,0.015302174,0.026485868,0.04210783,0.060829718,0.07987746,0.09630612,0.10839132,0.11659026,0.12262646,0.12865713,0.13694924,0.14897932,0.16391377,0.17797874,0.1871358,0.1899255,0.18820423,0.18463852,0.18077974,0.17669214,0.17273533,0.17074585,0.17387617,0.18378322,0.19843031,0.2119544,0.2192225,0.21879391,0.21424173,0.20939268,0.20621826,0.20356305,0.2001818,0.19564386,0.190099,0.183483,0.17559558,0.16700546,0.15890849,0.15249176,0.14906566,0.14979596,0.15552585,0.16569023,0.17876716,0.19363534,0.2092635,0.22441657,0.2365271,0.24501674,0.251496,0.25978303,0.27101198,0.2839795,0.29513004,0.30216625,0.3031564,0.29854238,0.2906209,0.2842941,0.28281748,0.28567696,0.2888185,0.2892494,0.28713003,0.284315,0.28205487,0.28197828,0.28708085,0.29944766,0.31600586,0.32972696,0.33576897,0.33558837,0.3344066,0.33524927,0.33748236,0.33847168,0.33525088,0.32461563,0.3041952,0.2776842,0.25449604,0.24570422,0.25245842,0.26653436,0.2751235,0.27343222,0.26419973,0.2550477,0.25065896,0.25226572,0.2576364,0.2639424,0.27047488,0.27944013,0.29348847,0.31177673,0.32926026,0.34124848,0.34567067,0.34461442,0.33968493,0.33202764,0.31986162,0.30189863,0.277989,0.25267747,0.2316653,0.2194907,0.2146933,0.21408857,0.21455936,0.21707916,0.22203286,0.2277835,0.22942835,0.22484441,0.21753408,0.21554767,0.22270738,0.23515642,0.24329583,0.2420246,0.23340414,0.22545399,0.22429697,0.23187739,0.24449898,0.2554792,0.258076,0.25061435,0.238313,0.22935866,0.22830588,0.23348252,0.24134414,0.2510775,0.26420772,0.28005496,0.2942301,0.30239367,0.30496612,0.30554804,0.30563092,0.30141756,0.28898147,0.27081156,0.25618133,0.2529435,0.25983307,0.26736978,0.267408,0.25945237,0.25012803,0.24408735,0.24110888,0.2362165,0.22691585,0.21435146,0.20380886,0.19953145,0.20218903,0.20745622,0.21011378,0.20825864,0.20425372,0.20036377,0.19518982,0.18477106,0.16793428,0.14827283,0.13244234,0.12495088,0.12648422,0.13315971,0.13955887,0.14091188,0.13656974,0.12946652,0.12382445,0.12173254,0.123066165,0.12741573,0.13512775,0.1460771,0.15828775,0.16923101,0.17823018,0.18683372,0.19637536,0.20646726,0.21599685,0.22534518,0.2347296,0.24270292,0.24542929,0.24152912,0.23267102,0.22284521,0.2134432,0.20447002,0.19613521,0.19108747,0.19110352,0.19393237,0.19346727,0.18417747,0.16630225,0.14482589,0.12608562,0.112442024,0.103325665,0.09675386,0.09209583,0.08890635,0.08602082,0.08184331,0.07575264,0.069335245,0.06493235,0.06451598,0.06825909,0.075178385,0.08340468,0.09159098,0.09948525,0.10806934,0.11821487,0.1294157,0.14044547,0.15051557,0.16073887,0.17206776,0.18418519,0.19433409,0.20001423,0.20056038,0.19736396,0.1920725,0.1851734,0.17740361,0.17038429,0.16663158,0.16695184,0.1699009,0.17264609,0.17393653,0.17506516,0.179709,0.1901915,0.20633824,0.22438996,0.24064434,0.25140107,0.25407374,0.24616736,0.22812282,0.2044599,0.18242712,0.16807681,0.16204332,0.16078562,0.15859252,0.15323013,0.14595352,0.1413141,0.14198853,0.14720653,0.15239517,0.1534844,0.14978512,0.14461505,0.14165127,0.14216824,0.14435431,0.14550073,0.14357525,0.13778998,0.12865575,0.11732441,0.10536476,0.09374795,0.08347073,0.07530357,0.07003512,0.0677441,0.06802828,0.070260726,0.073500805,0.07654249,0.078022145,0.07750381,0.07540047,0.07272334,0.07007011,0.06770304,0.06574588,0.064770915,0.06561034,0.06874313,0.07368192,0.07959766,0.08639222,0.094899796,0.10512591,0.11511449,0.12166151,0.12309178,0.12029854,0.11584973,0.11152843,0.1076091,0.10401654,0.10251697,0.10710258,0.12050734,0.14001201,0.15691282,0.16330354,0.15919878,0.15341741,0.1559742,0.17037173,0.1920508,0.21222532,0.22234313,0.21671365,0.19528724,0.16526608,0.13884334,0.12610628,0.12796567,0.13589913,0.1385466,0.1305303,0.11514308,0.10068851,0.09364421,0.095566474,0.10428288,0.11736208,0.13378814,0.15313148,0.17333187,0.18930475,0.19452675,0.18507592,0.16399314,0.14065751,0.12548946,0.122953214,0.13029784,0.14090878,0.149526,0.15323208,0.15082635,0.14180195,0.1272593,0.11009266,0.093908645,0.081610166,0.07481352,0.07458484,0.081168495,0.09282801,0.104889184,0.11177564,0.11067695,0.103603035,0.0948843,0.087407716,0.0810845,0.07537753,0.071323834,0.07080006,0.07377585,0.07777401,0.08054396,0.08262837,0.08628904,0.09170077,0.09527565,0.09281785,0.08397476,0.07291182,0.06445954,0.060413245,0.05968064,0.06100293,0.06446972,0.069987245,0.0754831,0.07728457,0.073615156,0.066621006,0.061310202,0.061015833,0.06478633,0.068287924,0.06756291,0.061754555,0.05282769,0.04367605,0.036268726,0.031501736,0.029573105]